{"data":[{"name":"Protein-protein interaction","means":[[31.443147271795425,27.974369930129573,23.97441703179312,21.392876942855988,17.2136325103332,22.055721077807064,20.46275605704882,23.60504528663546,24.904985069738885,22.911152493129666,26.161242666712223,28.502293193002487,23.827049847384707,23.980480785959955,27.469923856327043,26.628445731641946,22.46620626934443,24.927266127713864,24.48940312149357,24.720487341708832,26.819800320512915,28.102182303584804,28.765130484253714,26.54605053638407,23.669767427219103,22.103881843860574,19.88719983549712,19.028902282221797,22.516662113418384,24.472466494371588,30.13436346152309,29.568996751779242,34.094163392917636,35.51442731351978,31.542333311253966,28.252841824354974,26.983500284549937,23.666854288976754,20.86768536964728,23.769639539061036,19.86869497709224,23.75562302932083,26.909129820738716,24.664290966240102,25.220360116774838,24.478369681953556,28.0729933003127,28.317510079808113,25.21820651808775,29.061734422064966,31.752244233579194,32.56601643998182,33.94847673733051,29.501241587238948,32.485936702045166,35.842580204167014,33.31443768014941,32.40367509111236,36.459399029418485,37.09628983058968,33.863388284536676,36.9422507400204,36.51010740180335,37.61669222074648,33.74743194319988,31.194802771818818,30.63160170331383,29.6316375888286,28.519333263760778,29.238027140576797,29.040171243527666,32.461354128584674,33.354402969270204,33.548171994144965,33.2911956814178,38.22841445539498,34.645771918278434,38.32508230390723,35.44721497163087,34.215930302669676,32.423672955819605,29.550164317921173,29.21155185515451,26.896747495046302,22.97089379029106,24.73621246933663,26.893852324715866,30.124176346727847,30.25752938590231,35.69504444136757,34.60634900728691,38.80976754671687,37.12991392761013,36.38993764033303,32.68731085542227,35.32084166032758,31.987380345342668,32.71486486779872,31.183689506085365,34.08459824062161,31.11287464766106,30.07526136914643,28.014803068855155,26.214709372712704,24.920187614826094,21.948436488915167,24.392211556436607,21.735062975858906,20.308338595181688,22.08342638058126,19.878335147744114,17.566793255095334,18.60869859918831,15.005995311586501,17.48091420997768,14.602172021762806,16.654165812714993,14.835538626184407,19.880423792734952,21.38926033585517,20.381738392150645,19.957610789093266,16.332869775387227,15.884857393173883,17.091976926159823,13.205797019509912,17.02298082526029,14.43264444098048,15.526201848993274,17.090977427836535,15.2859430844297,18.869205817102742,16.50047506318208,18.927271545038572,13.49338640591151,11.713317886680297,10.212424469269221,7.885775724587905,7.423177499492641,8.62722879187098,9.148033028865095,12.182622607907343,14.396131645072241,12.686003316566525,15.493797395970837,17.41254083201042,15.44606417132346,18.340602625351067,19.005804780378917,21.26196582079123,23.453192036603085,27.045732296994057,30.68074252534765,34.75274609220255,34.11546581746215,31.135972355399367,27.675196920342138,26.111721727281452,24.556893710528207,21.52857445615781,16.84762827001701,18.723140024860605,13.137104110527348,16.489766270548603,13.25733980152796,8.383234780534142,11.144546951232186,11.462036647782368,10.26001805681764,6.866665476365202,8.909868175998527,8.7504155288138,13.317383223574096,16.611370767845738,19.708393695763842,23.11492957137148,23.960654962617262,27.70579718220622,24.060957710343683,24.693987147926872,19.83959536719991,19.82711353955736,20.425090978599087,20.678034747106278,17.57897074558242,19.972144703667364,19.728718149384516,21.974721178328636,19.1108675575981,19.515202032448745,19.320791511885247,18.112658478167944,16.95080232402239,15.910226739539242,17.431992790279867,18.829704448659204,16.04355650635815,19.34808501687824,19.818362076108812,20.28565617159866,24.658298001734938,25.38314731424844,21.970087696712234,23.292125161036473,27.473206429211395,26.058621745643606,23.093578959881576,27.456142501089413,31.024462979497663,27.917524723128153,29.009447042545407,32.719351071804546,32.13699260474932,30.370949520043496,33.49842471441987,30.995021822696923,35.848178009185574,32.23323749414747,31.46705550456787,35.30389943902041,37.013911888282195,41.25285468790073,40.72963783261765,41.24899799778541,37.70031221581898,38.29048108246865,34.80435378582806,36.9099627595197,37.04837555008702,30.975309864195566,31.63956894655438,34.11102232430701,30.926966016751884,27.571811869632025,28.27682972482837,29.255496005583282,26.47923066486559,22.17709714427108,23.211353012739373,23.848801614201474,27.61779758219231,29.902587621383372,31.692846900304474,36.04239001255329,32.93417646497063,29.456982335960266,34.241563492496525,35.02270634749533,30.361620109447195,30.941259918726637,35.07363567576268,34.54745011230013,32.10343896578274,36.179261200818,38.39129215877033,36.00254053861117,36.36555852765255,39.39724709847522,36.88635988576109,37.45208862812028,34.4141141801552,36.677370969220426,37.495514081312216,32.06496787012468,32.32197935616804,34.57455331902581,32.789358124297934,28.5265845963867,32.928949980923484,33.87641059466706,28.743348187782107,27.447351367216427,32.466144770383266,32.24061402133981,28.649137541887477,26.13198183110321,29.61157865798644,27.999379580886483,30.889521185459852,27.005485838316122,25.953327319686522,24.92765649206087,24.090644749550453,21.86288867600534,22.179148536905217,19.604284293306815,21.313345648217854,17.65491797183124,17.731663214054876,16.02028079595797,20.486591869206833,23.378087142273735,27.022418473979787,26.716345541476986,22.873723775801817,26.63085357060507,29.103854929925973,24.753439141453992,26.34433609974587,31.280909222390655,31.386277127170953,31.772560083028647,31.264959686507055,33.80300635836069],[28.668038607013706,25.196896462941105,21.323807639755795,18.472777431267005,14.519860228160065,19.664384978134386,18.40916035834017,21.953203730063706,23.226957273179078,21.59103833214689,25.05833195164441,27.506099209113355,23.160344411785367,23.128580868725475,27.05396523948387,26.455820636812806,22.44848485944591,25.38608339701096,25.348937417269223,25.9198893637474,28.292281425415567,29.929195929452263,30.62360478202741,28.52319623426742,25.593560995299182,23.605632674318276,21.302795503911938,19.85424153485047,23.124636439282032,24.77371880681788,30.440298053590894,29.73840444398562,34.30431148515726,36.09734749820202,32.21588381419423,29.07197383747644,27.675491051828264,24.88034150605937,22.306002853156304,25.65461441150491,21.903957089669504,25.57149238446712,28.94671714281393,26.912588942232915,27.655348324578075,27.067759426641892,30.6729085776804,30.809241387077545,27.768705991452986,31.67225397611859,34.21056455599058,34.942048594807474,36.19907900972442,31.67107442382131,34.47901624094031,38.01557823669867,35.50874907609306,34.32418627401298,38.44172672573265,39.31399195973114,35.890024044515684,38.75454967440268,38.060229644466,39.27468871571765,35.56446435193785,32.79936717327109,31.916162511826123,30.574672260069004,29.214538332575426,29.514191046093202,29.26756661574659,32.67934211932789,33.75089622312246,34.35823950424888,34.03150662201134,39.24288277018643,35.87873389717618,39.4868047247207,36.75762018563774,35.797708458005154,33.83267255514703,31.17432066100035,30.46571654904153,28.364266120624,24.541851072779437,26.001105072766205,28.338498900984213,31.2337696053163,31.44489816633913,36.66440682501048,35.42545640847432,39.59326796691525,37.62339795477779,36.65484669478203,32.69194579816294,35.127957716615214,31.537497061476923,32.455922889601545,30.672443373179267,33.42491771544483,30.946416452208908,29.689971220406168,28.132094064419974,26.014479766742102,25.156511695007545,21.622502472989876,24.04447884694974,21.357259485318455,19.378330153758533,21.21307477935989,18.499826382115007,16.529722711565686,17.218533788863333,13.831040524563832,16.65491087777368,13.910901100794204,16.673440882738554,15.146451161393916,20.67817528970952,21.71629225546888,20.285383215639687,19.377223162026738,15.371292634081646,14.477198400048383,15.272829393094225,11.284410049339835,14.887180688018265,12.85954142924793,14.21492011985436,16.61177713488858,14.45098964568158,18.528722255356136,16.64130057971368,19.21413408882193,13.537962083766212,11.212630492259114,8.574599984104236,6.387062987054597,5.91408444139957,8.863083093293346,10.163471652682702,14.10490162486042,15.784401475661731,13.695188214520106,16.8829414022797,18.16247451445214,15.710116005689828,18.1571578764958,18.524206299989668,20.2578548333376,22.375745272640486,25.79783444525951,29.635841336037473,33.42655977691148,33.06479174864574,30.33610155856842,26.958127150222168,25.45921851655963,24.27172937467741,21.202041139652046,16.89386899922181,19.381645502644414,14.011075743117125,17.901226160296773,15.078670791665557,10.520706021566195,12.726348622910916,13.241548062748976,11.017361447514622,7.518178451858907,9.29245215550877,9.289583321614593,14.345053399245085,17.483358767294,20.54727533560356,23.707337107579313,24.43698769906111,28.480608009845163,25.167913166001345,25.683816629699308,21.07930420229839,20.257940264903826,21.346312011033223,21.925690086867007,18.91530797774193,21.861456336380396,21.744882883838304,24.243899488655966,21.65977585022391,21.852940973040305,21.5271735565587,20.03309723496929,18.40268642060332,16.82382443694364,17.960211985099555,18.94106339988659,15.504302836705573,18.740346919768403,18.71208021538701,19.138383092493854,23.446364771625145,24.088229180289126,20.44678744282066,21.613922073913333,25.84919235002576,24.196597751798137,20.89345113451372,25.425232236157353,29.079238654815725,25.60553604323877,26.612518118875403,30.409951699731312,29.75603000612646,27.7519544664216,30.92560635786286,28.465455752264887,33.47347281359087,29.91536754299686,29.325889593032983,33.2256598528149,35.17972955180108,39.39186283697319,39.120638638913846,39.81714421217499,36.403217268455315,37.22940600699865,33.850794381231545,36.17497756154703,36.077229009819774,29.893196541929164,30.902284293599887,33.42532818486346,29.984512628104973,26.734932831027145,27.78663255632694,28.494940369824608,25.421681715824942,21.50568231594132,22.106546273025515,23.183844508986358,26.987980262027484,28.97282588701384,30.952364053918735,35.19740367111124,32.15912323177525,28.472990459725125,33.03772996954574,33.89041047505709,29.110653173689574,29.427382616131062,33.50924120498106,32.872844156429146,30.229931364478148,34.39941008794735,36.53767366502589,33.931827990391426,34.28281142917703,37.43011017899389,34.95535106685485,35.76511928601165,32.905110167300364,35.29326471861344,35.817522529410105,30.284614927099774,30.88396120890168,33.00373788755864,31.011290370934976,26.937929629031064,31.563302575323334,32.213394022374814,26.92982078754887,25.994713877043914,31.058125457729126,30.52919640451435,26.809828223596277,24.004330132710137,27.520536014176788,25.61603825983353,28.480926178145943,24.39272044936266,23.519499849585888,22.288962487778335,21.25137172285942,19.202111921824777,19.69147617652451,17.39280346945545,19.381064472275078,15.593575893207223,16.140825189653352,14.014016083516367,18.36064526624831,21.730332318012177,25.32506957614278,25.1577622417103,20.917904674757775,24.506673572950273,27.10546115124454,22.71441811152866,23.924121173262876,29.003970064802488,29.33428331911195,29.876914492726076,29.633430906317027,32.31398201140541],[25.103730771998148,21.743090583459825,18.371803168158543,14.806966527242624,11.857944904651752,17.00616558981358,16.349955358712695,20.503086178199457,21.3881247685933,20.22848884332203,23.842588481931816,26.568654285601454,22.821392975745393,22.226118828058194,26.720706627639746,26.62530816366677,22.860126146991544,26.24775991108594,26.538165395314568,27.733061960518672,30.28437865837178,32.45839531425573,33.03074991844706,31.039528811534755,28.202315494601503,25.651597609571564,23.5058302441262,21.423059436494338,24.425862599455357,25.80041961783384,31.115252627499302,30.510083113811643,35.00829775029053,37.226049416210266,33.5982346694183,30.600862831442427,29.29952059977701,27.086637503556403,24.901485252447365,28.904833919449413,25.138144330765527,28.299934094851725,31.995838958435566,30.329037750419598,31.15759256142799,30.81088856017868,34.38735874387459,34.48305037972736,31.687019463011453,35.68847475133377,38.016674322397456,38.77961391326923,39.814604836131586,35.12531701962776,37.79352628954277,41.44049025075914,38.82336642158507,37.32763598959491,41.52453884994097,42.58878961469506,38.81316658561041,41.31861987572253,40.299149683022755,41.475783429864386,38.041373664256106,35.10790419368539,33.60632166083817,31.907477589590847,30.04576464981488,29.827811777643042,29.384872795795626,32.63508775256897,34.0832657908564,35.25101482070611,35.01518435307393,40.57996054359217,37.664921803667156,41.23167307728678,38.82616697792412,38.29804963524116,36.30609458581324,34.050812801372686,33.06243440517199,31.367429532510087,27.636498920378557,28.55446650347468,30.850019984343252,33.369954300913484,33.416239917606916,38.312392031030775,36.72793656400197,40.70579175571443,38.37321370849297,37.18956635357373,32.917339269621706,34.96201922098209,31.051059427783592,32.473375440284656,30.465187572217875,33.13096815730555,31.432873217890865,30.143913933140194,29.298817622475966,27.032514629397085,26.988608611990866,22.8594329883604,25.315884105432087,22.805570166285115,20.047648628914637,21.738169647124643,18.238928773315642,16.806154992479488,16.556751040771953,13.700647093945541,16.394046377118965,13.887991447475642,17.292159345506782,15.987720142504731,21.7941705147795,22.339488379727726,20.272083772462274,18.83771386496681,14.405887962188466,13.159785562500716,13.471260819611443,10.182853049657115,13.327372629457434,12.740684442030538,14.59561421413973,18.10100638128033,15.789720587137763,20.316433746664835,19.194775531235365,21.669447983952967,16.089721116729855,13.138128598636904,9.601014075642015,7.973869626250587,6.998146698655692,11.022227470457656,12.236663736034878,16.857602174967745,17.989961807895924,15.832593513209076,19.456770037126276,20.009870456937588,17.128178579072106,18.981983134616577,19.15937588433569,19.92363744008516,22.062294043577047,24.91500974432789,29.117575418199053,32.260869456336984,32.24953576311914,30.025092779020593,26.776220244032032,25.631418238607242,24.856282519042836,22.152915305160366,18.56408596119296,21.401266900440334,16.53598886827129,20.888573573336885,18.759449753761,14.512246772289666,16.64609702823329,17.24303848720743,14.530314923580413,11.265515541005666,12.641156976989754,12.436490908695669,17.502934936699827,20.261289109279883,23.037486552319496,25.83426248197251,26.14920508528451,30.632067494806915,27.814173929978843,28.347443698170405,24.19654299971636,22.57241359548956,24.375827181369576,25.345134401089854,22.426490116335057,25.618981245513183,25.37522035916441,28.136479255528812,25.801229143980734,26.06725304663744,25.731936307595994,24.092544099885423,22.21311466737765,20.23677617782533,20.95457307663872,21.418218142419818,17.309507124532388,20.17448479472751,19.25050738416922,19.538309651757828,23.54594530166253,23.95888006399043,20.014534161931334,20.847768568851862,25.067166593071807,22.933549006669118,19.055927497316837,23.837170081246896,27.55267584694716,23.353471662398796,24.19623013824591,28.11391128990779,27.237709540565085,24.756897350225195,28.042742715000404,25.742544548929427,31.041073391328837,27.696806052291407,27.4799366633803,31.458844938393266,33.9032737204377,38.01602692750999,38.248956097802534,39.25831359019071,36.12919399775341,37.36031048115903,34.190170671827666,36.880793888526334,36.40164263932577,30.112596084970118,31.698032714551083,34.2873340173748,30.476310666611553,27.476946632072053,29.082225362037203,29.324411489860637,25.812455539227262,22.714871180854104,22.493796053293863,24.285535329257545,28.021972507701502,29.42647547325164,31.63564349847738,35.60612916361911,32.677516509472554,28.762680890631163,32.84733416187379,33.73176840476155,28.81984095716026,28.703898927612546,32.57190533662918,31.680047306537194,28.749151398465674,33.08482117787742,34.99761807330641,31.953669101462456,32.36754568850426,35.73817731634672,33.401014412765754,34.689266797088784,32.20251646255035,34.830037933021906,34.80439045845743,29.12899831803078,30.40278923767908,32.26485045564314,29.889987499935334,26.254462489199387,31.250286772576118,31.331172255671873,25.819579413096406,25.621913599589274,30.675037079790656,29.568229845634082,25.645375418084665,22.293856125444126,25.82339287196062,23.307106595375526,26.095448418932605,21.60058314370516,21.138381672349944,19.440680021393895,17.991295772905428,16.48587015739486,17.367544297448717,15.712004749654175,18.157859651663713,14.290730178315595,15.863103876691785,13.099990139632595,16.762282822910652,20.877987421593627,24.233754389511745,24.190423704488467,19.386972787260916,22.54753195863624,25.19720720900208,20.738590287194548,21.209965479925764,26.410062847207982,27.08079223360004,27.798379951857086,27.96685802499485,30.744675555221992],[23.10589568960133,19.672533209755002,15.755044241655105,12.787088431082012,8.276621051369046,13.102233338102362,11.895829663147165,15.692727263864322,17.196137435675986,16.327411183464445,20.063616118440322,22.256855337698962,18.680640108198734,18.904181555753258,23.208630946167442,22.810749824186114,19.560618405383597,23.398047172578508,24.672094400857034,25.447962624880088,28.58464483080884,30.79885736912732,31.926792691500655,30.462505776525887,27.14869555994335,24.45645469234535,21.64644561074743,19.003271116395684,21.282965331623164,21.926108282212198,27.604110189673182,26.295827744900844,30.812244590802365,33.35673861114017,29.715961349512064,27.145738657175635,25.321938804562205,23.993138964872077,22.099549926310157,26.30548660363651,23.321212617400814,26.34156623110329,30.032511562131795,28.610060414289382,30.089567422689843,30.17197501218025,33.72829597520034,33.168432364754345,30.523738707577376,34.64934179295304,36.4563368121735,36.91552996545961,37.703964106664735,33.10077492442722,35.14265104852506,39.07339543675855,36.781826310878834,34.785051555903806,38.8761434523693,40.49711095381363,36.76791607427586,39.025890711798745,37.64991254844313,39.42393235625061,36.169805323572646,32.792362786541624,31.63528013312306,29.420331850990795,28.1134055750927,27.41851793955475,27.48937922939183,31.01943777394698,31.901968984117993,33.2985410605254,32.36326964694627,37.897096101097084,34.874636875284736,38.059415169635585,35.622035283851375,35.28558876757349,32.82920568033597,30.819607121580376,29.221055299487794,27.83909479727059,24.465876277335074,25.007138552243823,27.7234933420612,29.61776535791557,30.22115498613984,34.71646881988061,33.41491385621814,37.5453447723209,35.02143059809967,33.484621344012425,29.181433151071648,31.323971608412492,27.451641562517107,28.242400302911356,25.96374353824353,28.248536064296946,26.65565485768322,25.003712952124996,24.449525770234754,21.924507034700472,22.259011867492728,17.908549161695724,20.565871765150778,18.486558208738174,15.569663717360894,16.75475623144644,13.114561955160362,11.581889746810498,11.450743369205604,8.968443471522148,12.552714275588064,11.011310197726973,14.841777103504878,14.968904603393524,20.693834994311146,20.207485652871426,18.501985739919704,16.470742968273964,12.832608703200409,10.459037634860994,9.719992537007675,5.412885227345049,8.416154033530077,7.562833748547587,9.897938934503545,13.675435301191879,12.372621959115095,16.98292872118634,16.453884577643016,18.01567775415017,13.021592116018942,9.34670934426106,6.9538253797655205,5.350732536125471,5.933709363219286,9.242574355642027,12.723584343078791,17.079452492245654,17.076984679286035,14.149405627268166,17.287020280540595,16.920939450759015,13.80723644985971,14.767524053756631,14.340302808434913,14.971165637267541,16.827540697072035,19.906282829025564,23.94571652210062,27.34017215510732,27.321838854396603,24.965536349220894,21.841760128575398,20.46596062751789,20.022551051222262,17.125218938001694,14.127950436420067,17.57085075350567,13.60487342319127,18.04945080780958,16.87576489565709,14.014347388297082,15.669136781322544,17.584003911940613,14.778552857773004,11.403752386322466,11.32693172902072,10.289750324867674,14.63651419593796,16.69764775816488,19.119493177273956,21.43667801176868,21.731891757055628,26.24055856024729,23.936394406291637,24.31602857474172,20.830014748809855,18.354601813767896,21.01049675389424,22.62201022928692,19.85681784305575,23.32758728354293,23.16858579148291,26.47532692421545,25.032366652109875,25.03385392520707,25.089609113261922,22.766046236029442,21.11604382302694,18.80442367654971,19.2445396993298,19.89595206462049,15.553465815647328,17.845591129809996,16.904524858507685,16.048597892312724,20.444807161990376,20.08462012956673,16.1062768584209,17.99901481841261,21.871161863615363,19.33191011762065,16.567219596257754,21.358661300221247,24.282305864792107,20.441854332022466,21.970469408209993,25.648809819509196,24.364493546849417,22.662921836563537,26.353508111132342,24.353686692925585,29.242532744941673,26.939614822367872,25.933766243303143,29.61116787172245,32.19397518098649,35.956830147581734,36.3688991085116,36.83742806908555,33.573175804632264,34.51972753058393,30.988588154134145,34.06061349352883,34.027742144201994,27.651836329665045,29.012951637564047,32.27548588379029,28.793490071032608,25.488905052406135,27.29310942411057,28.36402659898363,24.83700188904785,21.357614059602465,20.472024876682514,21.247641122189524,24.93940575849646,26.034570903774984,27.73518212750014,31.563598552631092,28.26727159986592,24.662213999365086,28.824985440581784,29.265043100965794,24.290171046768975,24.67268147654795,28.39487875057765,27.391056360004757,24.870108189859874,29.395001518135796,31.16571530793967,28.286824953069683,29.153079175766056,32.51561101229531,30.399140902011563,31.460842264242192,28.754996384802325,31.709365934184515,32.07969660323868,26.396077765405423,27.653285952989446,30.091001260341823,27.907858204895557,24.23822168643137,29.52187134049367,30.202409574191552,24.793391687966235,24.53474837869344,29.982623370400052,29.3436051420038,25.568918455551493,22.232900174393556,26.553461048188122,24.311471933968527,26.286996875995897,21.681236448945572,20.140991696210893,17.924203003251726,17.851642295039433,16.33771907140047,17.95872852366997,15.75076235141966,16.86285742169873,11.84389548536799,12.680277127339195,8.863906937750542,12.83206175685385,16.241251539561375,19.744292956859912,19.263786435186322,14.766293071700051,18.54137208990208,20.849849001969787,16.233830617821468,17.656610240726977,22.691420100857748,22.90336351839248,23.447363609627146,23.376399441698524,26.21418001537328],[19.22276499278435,16.073111496918663,13.411671915873807,8.838949447271645,7.635201250325864,11.633548819494408,11.857375496989375,16.452938128910503,16.87291927834501,16.719740881272504,20.34954760213207,23.077537353959606,20.52551274115477,19.564164049350566,24.510054793485324,24.962329581270822,22.004179987328058,26.01700972737477,27.23448516893694,28.932403211725973,31.94602822792391,34.74705151055016,35.48246236160403,33.962830647128904,31.015904147396657,27.793196874042756,25.55268765253809,22.55525986407014,24.706945399824978,25.31609725287725,30.08631552757527,29.301502992675495,33.552218533797166,36.43575246138206,33.24966855543305,30.74583876773919,29.395824951057794,28.406626498872875,26.920869523798302,31.722418155849923,28.381895962180135,30.765213807319206,34.78361953481574,33.699020833651446,34.951970639818185,35.13883471856154,38.63770032552554,38.293755302059125,35.93000608675297,40.13864036107977,41.950334567461404,42.60791548009678,43.282904199619594,38.49516868628893,40.610645689174795,44.41390612610443,41.84464433960966,39.74099232740187,43.85441986961574,45.401334392712315,41.2784031902694,43.14441742701056,41.53191859777102,42.979221306088014,40.04385390789587,36.70477131222035,34.65493100392331,32.25869570279348,30.13238235874123,28.971059148550356,28.587051606333148,31.688743108337167,33.23878642522634,35.24860102546596,34.73181097276054,40.61410118052811,38.2840997024555,41.52317754659956,39.574586921005526,39.72282314047617,37.52672178446797,35.98711603054853,34.40789666311812,33.45139000808549,30.072604129177797,30.089895008464953,32.41912429131861,34.10056431528132,34.17168972247687,38.32105220810293,36.462902325991124,40.17747595330361,37.30957465066685,35.6800594771469,31.099271775335552,32.58523993799448,28.37626865724079,30.134101058518546,27.76490238025116,30.054248803547974,29.56275182197965,28.190880132815725,28.469539427404325,26.10997880404782,27.400644719891833,22.73349776414849,25.293631344224522,23.482549506241426,19.89140114799116,20.833947232376563,16.485574974667117,15.859064080477584,14.168400948814229,12.757020519817297,15.039380448448433,13.672311788962814,17.60538886984252,17.46170264385382,23.067535654350124,22.41001880762493,19.86681699829774,17.521984834781193,13.50760174968262,11.35241398367365,10.25677042863494,8.879888405959713,10.283024959370737,12.196192737650671,14.660065034857535,19.11532382507161,17.593377813932033,22.217904243184993,22.255332133042394,23.883001866404875,19.1079533543704,15.472982117607021,12.592137998693415,11.377484597712296,10.444507948354921,14.05816159769901,16.024895866959458,20.85525667434903,20.784034543885173,18.3331579927142,21.989894384142616,21.287243444970837,18.06325785712407,18.64180931046479,18.373616512302583,17.606679983599328,19.52851957667722,21.34710072762451,25.8376126640471,28.01227062204875,28.463899450950795,26.999815346498664,24.13528547954622,23.52859824438549,23.468273345831367,21.498638368982483,19.40177050708141,22.528472626342555,18.968485655591806,23.587935738533005,22.760043300162014,19.502913288763896,21.58604851123339,22.969689618282278,20.079447826976903,16.77744700011801,17.2756735258078,16.3272222311163,20.739204328397786,22.619985933558734,24.68833766537309,26.703134518951867,26.373720717827435,31.26584250433973,29.41535606497416,29.96367929951529,26.835762259680976,24.09591375543742,27.11320130917236,28.816668741326108,26.078839219034744,29.420193640669936,28.965383748361774,32.30354681503438,30.660750645603642,30.96853782636984,30.956544563685892,28.83040165874875,27.050579136125442,24.68895073167294,24.935145137161058,25.074688391477903,20.44943195901996,22.363364896023185,20.410420844146767,19.7313290208901,23.284199048919128,22.7799639938189,18.65216036985592,19.62854601732612,23.312230409243533,20.191754556521346,16.392108993973075,21.3565387278664,24.40069545717003,19.34446837179123,20.42306545612196,24.249924606376847,22.63163273844587,19.965788939811063,23.77590380053521,22.08054369878302,27.443132633154374,25.421823590698324,25.18202403443219,28.94697674345083,32.239749954438686,35.83850087112098,37.00854405568359,38.0303977033956,35.26134861703034,36.82700210380322,33.752202228994776,37.159786909472295,36.50995721932614,30.188687365617863,32.332555615892694,35.42835991394038,31.48774420515631,28.69348866424795,31.076659999201162,31.326902283144076,27.34763190403118,25.149442864882054,23.455463872432297,25.375323916522245,28.81923224338654,29.173544132857796,31.231769266314895,34.589458628127744,31.60849592283856,27.77268781067085,31.05981274434436,31.600454254916922,26.63025519996744,26.234726560719096,29.496410048624362,28.11328508018645,25.134731744577667,29.777750066513466,31.144837382228914,27.54330597051624,28.4506847496937,32.12772348019945,30.254499660893835,32.107872204121215,30.10357963758406,33.278315859316415,32.72220690956848,26.96862506927566,29.238723407360567,31.096678463204757,28.349102716924776,25.490724208773063,31.082869530988372,30.777027495221336,25.176372244050835,26.03701665341766,31.19761212953305,29.6486655272697,25.697478573823673,21.62916041249571,25.70119763380496,22.52026370637782,24.381148133770115,19.24293561589528,18.58746596325469,15.623660925907041,14.700372181279008,14.331967233343402,16.531804626408924,15.61046160978446,17.536318381263364,13.125152857279044,15.700709298119618,11.815774018197322,13.732214744982462,18.226253226264102,21.01227451150611,20.80052473032444,15.653081148423844,18.221242466984577,20.50621575343375,16.02846511595477,15.762418258490339,20.85033542820155,21.723987390526286,22.55378021119479,23.1610735572561,25.944680222813467],[22.918434007266274,20.035551143444145,17.3822611692531,12.7993413167117,10.568323410505595,12.399455639833318,10.390340291984218,14.406121088819868,13.952136992310889,12.200805069605117,15.663581829549384,18.815442084553798,15.37638923974041,14.074966990315778,18.884088573731376,19.33592135342274,15.995445695683763,19.83699362558321,20.999212582187507,22.86509359602681,25.900436816692935,28.93460744644463,29.675566556264883,28.415505246226267,25.44123720824885,21.944212555163393,19.79334759123904,16.586361597098104,18.74746447163212,19.719343247560218,24.183763007987153,23.96651247498688,28.198980506214248,30.76688142329872,27.65372739281892,24.916256858634398,24.063704468761813,22.835701988624404,21.64543409047112,26.99785760917642,23.499629601999057,25.20918486457141,29.420427080743803,28.753238645064958,30.10463523232578,30.75360327428161,34.12200596373593,33.54660494410452,31.747344672357123,36.12095337246237,37.52620360517291,38.36035210596892,38.7383035909486,33.79760956986108,35.86465576970997,39.45568598203319,36.667662639198355,34.428954226144235,38.518091808990995,40.03698668938875,35.646620066465864,37.24506746951125,35.54183242935171,36.883613098529324,34.102841481088454,30.743614861233972,28.45637103693537,26.02968413295543,23.856870133656866,22.771165110599014,22.424426131737974,25.657279921779065,27.06881184357856,28.984244241669643,28.505373250051235,34.40431205064168,32.17973454528762,35.520674785071314,33.728683629039715,34.05730364357016,32.19697297984308,30.989797404639532,29.793348486465728,29.252439951065345,25.71504792492695,25.190999771672413,27.0045317548944,28.797156947256102,28.344384143454217,32.5436778088858,30.45927790386946,34.09801514052993,31.341963067345834,29.952232742720433,25.45767635279247,27.098154824885686,23.015999690236733,25.031314461116253,23.134047118980398,26.276291204904638,25.08840003731569,24.769722435559423,24.355223629824664,23.12277421331198,24.76546422371941,20.801942171766903,24.310307059919534,23.161869267759947,20.26450479097538,20.233779818198286,16.12836390774747,13.711012668851902,11.27197548935851,8.733930003752608,9.489090321593276,7.6542305912895765,11.460371023274481,11.631833901500986,17.03626442246417,16.137213608237193,13.625807616328437,11.343764480091755,7.337226122428206,5.239542042821329,5.722166998012337,5.778822980909565,10.53180418548355,11.299578028956361,14.66403675863111,18.13103173296754,18.280434470678045,22.719247889703414,22.122032514072515,22.767061569865206,18.198259641775394,13.85740460358658,13.254401018401737,9.82850763836853,7.557667336289055,9.936071470627692,11.875963528452537,16.44409190957574,15.46202891710087,13.102111374335585,16.83879848991125,15.822861353488411,12.687529412315568,13.5814030240879,14.29034662160864,13.881818904377853,17.046676372508237,18.75874245243618,23.630314172900853,26.113781035472524,25.571564462186924,23.743196465730453,20.307339343751597,20.287248116111222,19.166482809430235,18.23833178053493,15.771103860777197,17.788375474129044,14.591088381666824,19.23819511487013,19.464963019704406,16.92416320202385,19.895862918505074,21.90040042418803,19.967743772090547,16.024460045047864,16.312267886603152,13.97967646240666,17.83119430026322,19.307307534600113,20.818811150388726,22.986564223197178,21.88665396255523,27.15532574769843,25.29574857653193,26.452066287810773,23.589308183233808,21.534715995515693,25.116706835559704,26.997367483609704,23.904471056838975,26.249291620915344,25.00753013644183,28.648658364046064,27.38618292253291,28.395486320351782,29.075361956908647,26.976025692791556,26.153492976735723,24.290289824019432,25.126289930289204,26.199218629418915,22.015484375352884,24.209566930769242,23.163990912925428,21.6984111260725,26.008556256449268,24.867024122192014,20.85361272296409,23.146260129794083,26.56724696170176,23.17056473176238,20.68829036285776,25.599824577397563,27.811945586858023,23.18971233532987,24.978479286065443,28.5390413029223,26.33602044256646,24.40745654844626,28.65215501775396,27.28238219638065,32.31426594365784,30.969369995171725,30.194229028133087,33.73614487777829,36.96958013327491,40.34840089369005,41.45418926410464,41.923349697790854,38.86610264026978,39.922344534224955,36.32836800871887,39.79563535697036,39.82199822898691,33.44715616450145,34.93503248790438,38.48535556358681,35.011212672939244,31.75120303737707,33.714845006274096,34.850106804829366,31.200061335706643,27.916188430751017,26.68668306253217,27.198393054460112,30.769984750865675,31.40815383791748,32.686455412640456,36.121718420870714,32.44882548632504,29.274926684512184,33.026176607381906,32.81452709056778,27.79814872866192,28.43626809905497,31.481123811188922,29.87658338866986,27.659239771463366,32.572957401381,33.667609451537935,30.20521931940438,31.86729449999297,35.54109123747023,33.950964015085646,35.45375392341134,33.06726380606952,36.48234263312201,36.56197900750256,30.847861996667916,32.77401610952759,35.24403811192929,32.81057509695655,29.653694794245812,35.239421639852395,35.618820688897216,30.127680787005044,30.46676249263046,35.88824413085354,34.87061201071982,31.010048801228194,27.194119241727403,31.482879749299567,28.57601669863996,30.322960596628135,25.223941621947496,24.039898578471565,20.79121131762628,20.638222899028374,20.18519154610523,22.41285362210993,20.960782308393977,22.258867323509538,17.081946742174267,18.39771014469655,13.719731307743698,16.345831283530597,19.410640457224545,22.4671348435891,20.970496101174362,16.686957692264,20.38965390225073,21.58431549463759,16.25076647988031,17.8742362244951,22.40639144705153,22.103775737483843,22.023619792398076,21.736166097431273,24.201776013406032],[20.544726957421553,18.11074867966554,16.288478866839668,11.418983132635374,10.725297775345393,10.144633785588802,8.228991929787451,12.17448322202191,10.657099792299569,9.48046326195391,12.78130193855413,16.108551767058362,13.806994412089045,11.92095305647458,17.05267638703515,18.088901510877157,15.607387583381188,19.75033711932754,21.601742586169706,23.85604352929353,27.102764487782885,30.54633054823098,31.35416197098222,30.482848749421535,27.557048391661677,23.690544743201603,21.639892168337965,17.93629912106866,19.255488698189584,19.61027727717049,23.292425661369688,23.105564408762586,26.99874869462863,30.008378609720932,27.367081018514863,25.061330385218852,24.333493114607883,24.05742877846522,23.487035569641968,29.251383668325644,26.117444966213238,27.13521965002816,31.461477700247887,31.254853464040345,32.83381106902439,33.83970920388344,37.07301220490097,36.22406002809248,34.79803879623289,39.233914857237636,40.269664111899296,41.058323863837416,41.17154892827123,36.23949900566622,37.90066952385414,41.48488430364487,38.735787988083764,36.11994953143525,40.05987715909942,41.861948147029125,37.266122238375004,38.32995737784577,36.2100766266303,37.68281755453786,35.35610528565689,31.791975933424848,29.073866606719186,26.16917810772522,23.79681712831827,21.93634974225689,21.62838772780814,24.63582089115819,26.112199874340167,28.69329880703853,28.034865952903157,34.08518570582859,32.416901367327924,35.46643256583681,34.110123870291,34.98167958997694,33.092073606609986,32.49491512549926,30.9834121643356,31.038672437186747,27.822853976204424,26.612314642017463,28.281272923185995,29.41944819497296,28.86926495459361,32.38547415031676,30.050816788786783,33.36761273624215,30.229717734087775,28.544552168473714,23.86950585130452,24.976115867819864,20.687335573800084,23.133205693378024,21.07696233109584,24.082708362072008,23.846052217607074,23.758766105616957,24.144210920886017,23.143998678273075,25.801591949673185,21.748354497688037,25.33469356462706,24.77784738514947,21.584781855462396,20.893635387602288,16.49566153040494,14.529521770133224,10.864667608231473,9.855491724785516,9.475810339437688,9.127235354503775,12.626225336206305,13.762610026887682,18.373365694736734,16.501532488784946,13.72977708345529,10.752889729546334,7.967864003279767,5.442733209555497,4.335984803060306,7.735803486109368,10.71538540559382,12.968013780486705,16.458302784253334,20.116956455643752,20.84610054140382,25.1429125952698,25.124919538255863,25.222844164297168,21.284696558037666,16.83568860154121,16.62121331256808,13.67283301541624,11.777049357655486,13.574371295217716,15.581138663322303,19.862973514578137,18.178809887284736,15.90609279517006,19.3414656108391,17.480236545803372,14.42997264324395,14.218317186126097,14.715916896025314,12.961422654364467,16.10412647434923,16.653401939666537,21.787109997026505,23.40031193189655,22.984558621326247,21.815578873635104,18.666605422087482,19.352275999189622,18.637164487556355,18.663213595125384,17.44894995320811,19.323793467279568,17.32829056094483,21.805823665083587,22.86157825875328,20.922759969103478,23.793742620808697,26.092134028408363,24.10367591977232,20.225730292219932,20.19362158282641,17.66935194352029,20.933191541686245,21.785573389077907,22.68658131111223,24.23167248997198,22.546464646333842,28.00130827596,26.895012301676417,28.1179446383591,26.049238294322766,23.467155589516242,27.714854105568,29.975167880876278,27.034686614299645,29.310731741107666,27.902629621888536,31.80484543603549,30.967193211649427,32.03138346147015,32.91007596587275,30.604276646217304,29.894223785253242,27.90179536267116,28.523049578712516,29.46112364655312,25.13216758188837,26.835688747905422,25.36244050574934,23.3597411841742,27.338084038142632,25.586884637521443,21.65790542512619,24.122008231108808,27.039183520316545,23.08271903276864,21.036154605737273,25.80337338681782,27.330227532351365,22.381982692247902,24.400790033136673,27.69715101682739,24.895560739000395,23.083028022372172,27.62679048332726,26.797218286502485,31.64222867044888,31.29942613579146,30.465799493063624,33.743694453080145,37.43945768433387,40.40485478468865,42.084254286537835,42.47915535820249,39.653439749487454,40.83765419585736,37.29071912156643,41.154520705974356,41.15697728393938,34.85604934522019,36.57296004719237,40.4120066041745,36.954439768596124,33.81468627604181,36.135335684352945,37.327046001883346,33.4984351816777,30.64840137980495,28.72671819653133,29.170123187310246,32.507944555598755,32.53781910315645,33.58612707758502,36.564313305365964,32.8171365896852,29.88251154358123,33.080922948453825,32.49668550417689,27.562310208001296,28.18171906769471,30.658085034692316,28.674514782840905,26.659238067597517,31.717493120719883,32.321353213745645,28.541654989918143,30.706734455773113,34.51733200219073,33.34770591402744,35.1466490057114,33.07757839024927,36.819553781402,36.646761998661766,31.02162456170705,33.482061527265834,35.978130811990766,33.40808436322712,30.75737608351281,36.57188747655207,36.78941660583686,31.37116812129291,32.234278440218006,37.64594420394135,36.44283378805173,32.64549195009942,28.557802888918914,33.040733784280384,29.860564438404303,31.041616190881495,25.752785142995126,24.45083563688447,20.546627516771846,20.864130880737772,21.08298433013413,23.870392549122823,22.80146482572468,23.744390331084347,18.495572270744507,20.109984153424822,15.086441928273528,16.44424065065449,19.212305994156768,21.727268346953203,19.828931875489126,15.77455103097372,19.056795590263796,19.53344438838512,14.150559505112394,15.665669351011932,19.65752631058823,19.139295186833234,18.83501379632043,18.665464891890938,20.957179976198614],[23.452236971476236,21.4583746783188,20.358704318030487,15.14093905061085,15.319247857778628,14.148961489202897,12.14621707738649,15.397604080845003,12.587249917853734,10.411598511636678,12.697199007264087,16.760150646412935,14.498065246741035,11.106667427008897,16.149865933875564,17.88348104376121,15.239338666588555,18.753860822346603,19.966647056982357,23.03244375878111,25.835745717731697,29.68343774989509,30.02809412134874,29.163158377333467,26.717980155096352,22.54425659606076,21.27916408855781,17.71291427254544,19.147861313828948,20.086177562197012,22.553214265421015,23.522560296012163,27.060034413282505,29.732031258536544,27.50197012081867,24.9470748831323,25.12441018393218,24.46402126599699,24.205628451186744,30.314934239149316,26.728875377356662,26.97019814252495,31.46451348653548,31.645239792319522,32.89435437067579,34.09831736936053,37.14311497264279,36.49399104063914,35.569164949639315,40.02820588307943,40.96116940164606,42.07236375006804,42.01587284877389,36.93268012114891,38.80072939967781,42.02208233122712,38.89809878636594,36.36260342876492,40.27541587642119,41.77918776537322,36.834984515515785,37.5550274918131,35.42190731222159,36.33869428009609,34.302035561333476,31.015494724410374,27.49647360608903,24.7702758347917,21.628148386676756,19.77356179144264,18.902294118310923,21.451521773299074,23.546344985679408,26.32345782225918,26.326742669211804,32.467620620105606,31.411348907200658,34.67070187317712,33.761246305376645,34.928524304329024,33.6599133832369,33.431637184982876,32.484603814146915,32.8457279163744,29.462205873335446,27.879350402936335,28.779514524879136,30.12571290132727,28.68161887719264,32.11901708283487,29.214144759452402,32.047274916265486,28.960882158385758,27.654078650228975,23.08044955018672,23.78355508832051,19.560274092046235,23.110392877128007,21.680049342818993,25.413229307010543,25.133355954031643,26.10911825819297,26.190026634339066,26.118672085744556,28.997053096124677,25.419476250974796,29.310546411943843,28.94233015054419,25.994866084130766,25.077533614187313,20.836955815963147,18.37784667541409,14.489982646747746,13.103995886669045,10.985410483844062,10.148778064649687,12.48599054542363,13.014773478967623,16.736160945093598,15.069622003457111,11.74935305010197,9.271350569705445,6.811477301940421,6.539222403812635,7.672159571619841,11.660690117524055,15.329502110975582,17.227209740515082,20.803740801791168,24.095928857597645,25.064416507702994,29.342322470486806,28.94396323513109,28.934983444488054,24.890373560044328,20.378184941471616,20.47326241249251,16.834355254980668,14.077900547502118,15.38342957675186,15.942206041882036,19.883376255426565,17.998613025411384,16.534383983908334,20.101693849908486,18.375911420982252,15.758765877191909,16.012434418469276,17.3914612870461,15.709089756668204,19.41825944924058,19.318486626175055,24.5864488150996,25.686106072090862,24.767428733372423,23.87604567386373,20.57833475763881,22.037501137403638,20.64370313672387,21.696115311522576,20.286149620248153,21.097982447257937,19.21302301839345,23.49856603684632,24.888959293613787,22.863933379935037,26.365875344850803,28.433659941971932,26.945178579025434,22.8709765222174,23.223517645458386,20.398128359154104,23.592554545359825,24.435809320736873,25.055371620807446,26.75121549608475,24.454730399913345,30.089552514357646,28.949807973736526,30.629202054178723,28.59766931229249,26.681710979207832,30.937511075445574,33.07377664249072,29.915433227406567,31.48444390128403,29.500332349770463,33.32972834669078,32.36696351746549,34.03928107049836,35.164001099351744,33.17546767774928,32.86834703511682,31.21474177420074,32.16205301423613,33.3693200063888,29.191010477153014,31.156847438701835,29.867292072978454,27.9510494911866,32.00425474488721,30.23436283030852,26.32826514595493,28.78037191029608,31.691786710969236,27.665531792167453,25.539551199852202,30.303898837775915,31.768124249115708,26.639938465944034,28.565770683132232,31.81770831170812,28.822915578078323,26.812187544783654,31.367447439141024,30.708615536524132,35.63186443507671,35.34972907942773,34.77046195077588,38.05965629719295,41.88142067426752,44.80140931086356,46.61749326268243,47.09293322474712,44.312686138793104,45.51643497982232,41.95490342155999,45.81067960377502,45.828192808056265,39.52038870700121,41.20259491878912,45.00532940959542,41.52433569681609,38.37004412891893,40.58028020883717,41.72092883721024,37.91538419045632,34.95976710545413,33.27273641982699,33.68185686862503,37.07238528080663,37.1828926074408,38.12995120800077,41.074935488021694,37.20934091491764,34.43682364369265,37.608731482692235,36.840542123963985,31.959468120999517,32.691018352537114,34.96354340568283,32.82598377783991,30.948737323708084,36.03284610384991,36.40745692611283,32.46646017737012,34.83927617305329,38.70695396388665,37.69377801054849,39.62484217523338,37.65288766993247,41.446143470780726,41.1846303862336,35.57692515171868,38.140251551064615,40.5753021238552,37.932342870234706,35.354491113057584,41.16799930302827,41.23993155827974,35.77236980125946,36.70237952926752,42.05819236090751,40.691718974790376,36.82809520087878,32.648739646017255,36.89689660929271,33.47949008151463,34.83671521597485,29.478421086609945,28.57093045146975,24.579905373946477,24.499791826639758,24.992394056402986,27.687960169997094,26.875496716015746,28.161752750718588,23.043570991867096,24.714645436739158,19.720110236812644,21.088542540894604,23.71898017568403,26.10201217687466,23.899812486772753,20.16375389363766,23.281703999481632,23.32519404396734,17.999744449892383,19.423170846154918,22.89860112262454,22.140694853317328,21.426526946521378,21.048847679937744,22.830967726610996],[24.502526188176233,22.57532485285283,21.148497636409175,16.713925512426584,15.97120149066491,13.630379139761553,10.517636330914462,12.507771736012632,9.252172440461214,5.975816826768323,8.016675023718712,12.143920092086205,9.808654584559406,6.374298702903014,11.522234779845219,13.239449014009752,11.20774106770445,15.078885379371894,17.347925743655278,20.08601247635512,23.341749942342695,27.23826380372875,28.03841202871576,27.73168706183678,24.981968882172065,20.751612641302454,19.079754011806774,15.082809809074387,15.557151176493951,15.87368024759112,18.161433938596783,18.87843327011421,22.324552412044437,25.196335673989896,23.103477437911366,20.906516429332463,20.99082416461185,21.13617197568622,21.397088701528418,27.678773302283325,24.753896068243506,24.51870691118586,28.942382439913914,29.49008422626751,31.202553613532867,32.8243032735742,35.724905910922445,34.55006125921639,33.957043290988715,38.42789131645586,38.853876270265125,39.79007475650568,39.46257330485646,34.51061713460727,35.84661540067098,39.11252620158901,36.20947300675903,33.289170760249014,37.01831589973526,38.909970318581465,33.98885450278084,34.3740841305855,31.911360508876772,33.290965477486445,31.511097805741166,27.893295762577537,24.60053488844152,21.368928433803795,18.773188002420127,16.342187690308585,16.099077882221124,19.0072541346226,20.36329777970119,23.369567349410012,22.6685680597171,28.784907806014612,27.732862849313225,30.6552159707341,29.845177174351402,31.293271070554905,29.840462047490618,30.03818676618321,28.820953282405462,29.664381981606184,26.636097327667667,24.48650753423898,25.36380984919465,26.140558787142183,24.872499755954358,27.851149797641774,25.052440829028928,27.94749389414062,24.681489265072496,23.11255716230703,18.462784641884735,19.263144379845567,14.9981543258886,18.292255695460128,16.881549741835173,20.82286115109465,20.454624499159053,21.855948042526958,21.968397668307734,22.445048703151123,25.845209659956144,22.708912141134842,26.88086719040909,27.14259741943956,24.557225393815305,22.916938450727116,19.04990251084608,16.13800747835104,11.885229588894168,11.065039730191668,7.721647445738274,8.426044040674524,10.204022974363756,12.377210125633887,15.27636671052754,12.334906433157961,9.586146070643741,6.263117578963212,6.438113249406792,5.425642344519449,6.136839365577938,11.107263735772621,14.627075120845785,16.198482668321134,19.814346350624263,22.476355510877546,24.502809139946166,28.387402597786636,28.130742119083074,27.292416057454762,24.021068772795967,19.47395839978269,20.800475522534544,17.10458751662509,14.882820314500885,15.10175493059004,16.651310847276054,19.922002639572284,17.105909554157034,15.38129148663576,18.2187760787254,15.634153281230097,13.268378048265923,12.601577329636852,14.076526820105647,12.05898196167035,16.08910862079557,15.610845086061017,20.837391839835117,22.075844571502554,20.604421667660585,19.571558044124085,16.170879962718267,18.07610680767995,16.432462851311186,18.359592035110882,17.685176943565413,18.044734725417253,17.45634352893169,21.335106973943226,23.70933755070685,22.78508620524126,26.071094216529644,28.773951263326786,27.523513777317866,23.498938497321966,23.2450483152807,19.947948156312727,22.163256242762117,22.27520177004107,22.225164677742406,23.438954522177873,20.65730836577003,26.316519191336344,25.718765490398503,27.525262877892384,26.25856467614627,24.218587745746426,28.98931234642381,31.447066583958332,28.430868028468293,29.687649220450204,27.539407788331996,31.64694626169806,31.388179207943637,33.04701138182969,34.54185362587357,32.27821850227971,32.382826806010364,30.794355815868286,31.73124848960726,33.22167553799301,29.273500154200903,30.953498501883494,29.957560712925705,27.403031777742463,31.60115206665703,29.3009303293029,25.672131678496225,28.868893417783692,31.37908823233857,27.229189574965766,26.162291655237297,30.703885458262924,31.44387773078459,26.87112686388683,29.296932465047806,32.2398893051973,28.96132047920295,27.729722015247315,32.469535907505,32.01985078006546,36.50379175907882,36.87629480208764,35.73355556387272,38.74274963951792,42.50004189616036,45.14194060719559,46.964115009372435,46.95595536747188,44.051661425515434,44.910069282195366,41.075801274587285,45.05790411181637,45.52495699980766,39.311086939476304,40.63207301552087,44.817439335646284,41.71934799134253,38.364672140436106,40.48664116427734,42.247316309541375,38.61200843947679,35.26804259735069,33.47401003072224,32.99350987157552,36.24319577527436,36.255393249128225,36.62627113207862,39.39399573571129,35.1960664626597,32.968032092194875,36.18153598424133,34.88697892049089,30.156177590206134,31.50906717129692,33.49807194824277,31.26488695122341,29.99724974905959,35.11091223539944,35.29010561864827,31.625336515022013,34.45734765953694,38.208082742542324,37.427611039477505,39.05087071406956,36.88350542829189,40.82741164975019,41.004233596379,35.552432684341895,37.9129212353509,40.77270845578488,38.39645504968823,35.759095998168384,41.55556205643279,42.14621541607815,36.86435828313558,37.559708472934304,43.07901003556997,42.141094285253914,38.429115179517986,34.43090719287222,39.0536237119433,35.94790903011573,36.935954908201424,31.658147373464768,30.09220089478141,25.988277351414034,26.74590885006045,27.05281084298874,29.92937742422995,28.70253977085734,29.27399189165565,23.780460817673692,24.75209691225405,19.57702840142789,20.86887740422621,22.3799356128651,24.676766383193463,21.75767393233926,18.932207659656896,22.50155177302031,21.810580914934476,16.399980711888137,19.09428640656485,21.975564120730024,20.379911685963062,19.08150704062614,18.033621498465703,19.569615138510986],[22.04085602479427,20.63131710456792,19.872369214698256,16.024890184453156,16.19121668956559,11.991765914246725,9.431628945468823,10.406376214043748,5.996987141174807,4.903105135787365,6.106461625195237,9.692902330094274,9.895967703442285,7.1570584202759555,11.722795349572841,13.757972081868353,13.428621616254661,17.476508689109263,20.659548720905292,23.16625475426767,26.684646812546493,30.60593724584797,31.681933555639777,31.73717962342396,28.887319499412225,24.67902698386519,22.793559964664993,18.600989977990565,18.10352535192213,17.300870646464713,19.01665452895918,19.041399716820987,21.99394398789759,25.542674983473844,23.93910589072748,22.566418058871633,22.27546575621267,23.703575274746694,24.382902797301348,30.591030311104863,28.331123043308626,27.921990630831477,32.20260457110284,32.94910321279444,34.99719810265017,36.77922790726496,39.615690930739,38.117599884747506,37.592799922597834,42.035656471325275,42.17827122871733,42.88027784646818,42.397229537508174,37.6275516500776,38.425701708822395,41.82223340942561,39.22346929692767,35.94574793104389,39.4455742415677,41.75424143515911,36.923954749797424,36.91842967793903,34.06854311056905,35.86082733426397,34.47031995036292,30.607667799137072,27.422799287125,23.724800181016644,21.496427105191998,18.2809506293581,18.429400020487705,21.026529212882064,22.033434529206794,25.614003760640458,24.357541371933827,30.332885244385455,29.65853317635819,31.99955163882529,31.490706080641893,33.349029027242985,31.56025808572117,32.20516498463331,30.374652266876065,31.63971619139663,29.121607906600296,26.591868407205517,27.715818557197665,27.612243674606237,26.801821520470003,28.863903820722715,26.195192750851447,28.825457957231684,25.14560142445443,23.002202086742674,18.281536430493453,18.42760653270797,14.042797580739165,17.173316194404013,15.242537479982147,18.39289695108066,19.483387366602084,20.599045102770198,21.897667702491926,22.16415035804015,26.414679752717003,23.105639158971567,27.014175696121928,27.760085755719356,24.898327405634156,22.79110077562725,18.878097591807162,16.86071407795554,12.142526251321494,13.070627234434818,10.335334585157455,12.32890777628685,14.15601276690803,16.94959583209895,19.457975862690482,15.85673147899232,13.57653997022394,10.170927022650128,11.18212412483432,9.441775936414592,8.108575023067631,13.336670671539455,14.860757430732413,17.46928887415749,20.86173450524006,23.71314897751563,26.004501493864954,29.67487414643992,30.10456935677601,28.90099930921021,26.274169089976976,21.83299263541707,23.140054743696084,20.192676663619114,18.605318958779424,18.978092897127695,21.184525701879753,24.45590344100021,21.468100513357513,19.490308315501544,21.906527214947264,18.757269643012393,16.45985805296188,14.605072117240272,15.179883350359432,11.848728349457465,15.046846270794259,13.200806738481688,18.345821293711037,18.49960842364965,17.40336890242581,17.286718895622162,14.627276510331363,17.045058465523816,16.409031783054708,18.812485603242667,19.553930661074972,20.354922425795205,20.723547142827293,24.399392173904726,27.112351954693036,26.59893063961067,29.431482687957057,32.40048733010624,30.818389953074785,26.96640578863089,26.347419766030903,23.196480265885,25.039559319035675,24.67570455479232,24.25162360328216,24.70454794824993,21.7889735271781,27.2568347724429,27.504681791651997,29.0535180449447,28.559509384737762,25.740365696019794,30.951441496985943,33.75386243114772,31.04486204941132,32.62678080621066,30.716687499445925,34.98975958647854,35.13861928994497,36.4813177730867,37.96769326175601,35.39384477086205,35.34210078010251,33.47569281097948,34.05075022418809,35.2585067521428,31.163384504556344,32.2852913784122,30.864225172184696,27.875214123105106,31.611379509408653,28.7985066269206,25.41530842723799,28.682549617392034,30.606446694019713,26.110994665714554,25.650527810792465,29.82823521747246,29.816127315226296,25.27658716207451,27.90564196275075,30.432739555373004,26.71028807768037,25.867093319082173,30.704880692676934,30.76805003569798,34.825671211646494,36.200271408082145,34.881653063621364,37.52385084454936,41.59075170591347,43.76716852159303,46.074533220465185,45.92873004640313,43.27349406731051,44.21828671840003,40.491185831297805,44.80915207845433,45.25465640418332,39.22154404171789,40.74124805561203,45.16696431325285,42.14646938281054,38.95651561163056,41.42447293728626,43.2424467029421,39.48674150811186,36.617326017333326,34.14490558754454,33.615356382288134,36.55166962324912,35.94198770172138,36.09930466557215,38.344566149566404,34.20303794469819,32.240138987888216,34.81119658288476,33.19591430402075,28.69616196369775,29.990856087925614,31.36180520747972,28.83737905527256,27.867541772570966,32.946383729320296,32.654102303286116,28.858719171799866,32.12657870775424,35.875390351306514,35.521621056316754,37.32484710945579,35.48051785507766,39.65302382566512,39.6417764020768,34.4215244301429,37.182975243220056,40.05872530913593,37.65284781039495,35.520607037583126,41.40938931735255,41.9279896751487,36.85043053611922,37.9618826557746,43.41242689378392,42.4089935706957,38.85318760857834,34.75234860626886,39.56476878120724,36.40231798346131,36.765201339513325,31.514588284234684,29.689707191042935,25.227218836684514,26.597483870021662,27.325102436623947,30.59496868735727,29.5855345730861,29.673690977199904,24.27587182832195,25.383897468481155,20.211850357641524,20.347321405360017,21.370301356906847,22.9954033020249,19.836099207677158,17.561439114314155,20.49886603700788,19.034311485849233,14.083245431444286,16.7075339245968,18.650692700663654,16.721508053932393,15.136555141090575,14.198289130039763,15.501464859880427],[25.218839693178406,24.071077298934696,23.48795119967381,19.78875171468493,19.874576509940862,15.499746844191003,12.729652104347942,12.707301634847067,8.039976599652654,6.088387024811198,4.727681527574021,8.528114238548484,9.421665499381566,5.916663827946888,9.376473397792955,12.068248759788103,12.539278911829912,15.984080433253805,19.35080401893695,22.07402279494042,25.45311062269939,29.567064068401834,30.597302296285896,31.010815531906193,28.368222815493354,24.08324806992914,22.5369354136317,18.41787776811937,17.332284036814073,16.442017330247438,16.790890159911505,17.50974862173471,19.884472006085005,23.318596100928563,22.271183119166338,21.118839311131314,21.416320157053075,23.152068277687807,24.341947488583866,30.66268910878189,28.57539491150011,27.422936904543175,31.6452771880208,32.8379635307194,34.908336021517776,37.006947643676405,39.606330686444714,37.95381375425281,37.92589102036616,42.32273634117748,42.11614163735196,42.90559420913747,42.164368623528496,37.45514699912927,38.038331382306275,41.18338611845076,38.52479798343087,35.102855771760844,38.40312607615157,40.73952545698162,35.76639030714462,35.27980842698851,32.218572435083914,33.91420713484392,32.96073805271217,29.148682633712593,25.62062117590785,21.771677198036173,19.469192430485258,15.812768582096334,16.038443350518573,18.31340374985647,19.18372398225913,23.11381995255052,21.830583383250115,27.71306172544589,27.591797458752797,29.744595979303405,29.692887358883826,31.957654136540203,30.502415754110146,31.68168681661863,30.07030576571208,31.806830241505068,29.462520518550374,26.432818617318713,27.01247662345567,26.6231190319455,25.343357710642934,26.865446800274125,23.888138323435204,26.068210126436462,22.282858923655887,20.200152250829237,15.60446051347293,15.246549937854128,10.931186545709865,14.904419682296608,13.595678897446344,17.318151698547855,18.469646262197383,20.640884769054264,21.779355278165013,22.986717633847856,27.540494082931147,24.836902295838964,28.946021568163296,30.069771690281968,27.562149424498173,25.08460986935012,21.555380610942,19.159858872836715,14.547381150583378,15.373918080761005,11.701354441329906,13.876726665566242,14.66703068153007,17.688061894012627,19.046376792640956,15.028432369838935,13.089245470476083,10.13052405155348,12.526048486657983,11.62501785892436,11.11923772959286,16.290242111672697,18.180221268318018,20.355090239091968,23.726587056991626,26.074689247730383,28.8648452290597,32.327817966997806,32.59902593271154,31.001723154626738,28.681761199662915,24.27458701073877,26.14534081833351,22.878690953905654,21.118270322620184,20.91852301151708,22.778134208260745,25.498972552217467,22.094947352158453,20.511764852857404,22.521447895902188,19.155799670403635,17.397177987598226,15.437915510428583,16.47856625709086,13.304082957678954,16.670799212379794,14.267034433705925,19.07445407112371,18.834853116430825,17.01035120972815,17.13989641344266,14.561489501457611,17.734334100313063,16.583775703318892,20.043339841179122,21.02486076796543,20.971604913790348,22.03983220745407,25.276925825311455,28.561077469051217,28.484983923145574,31.499660926668902,34.58518804955871,33.363539817493525,29.463885662574263,28.80749528273811,25.380427270059684,26.752191732676394,26.06163454763931,25.157432871570073,25.405432871317256,21.932722645916847,27.321996985195355,27.894825739164034,29.744339760996343,29.698642645847695,27.257329327679432,32.606976329952246,35.449966366754055,32.72928588691222,33.74836211204085,31.470810901344198,35.764459619255746,36.19457281780717,37.846711015349854,39.62589443433535,37.124434272780746,37.47359899496909,35.831332348790816,36.57177220958832,38.039009906884594,34.14292910236792,35.2928168341329,34.11271487969399,30.951843955414244,34.77079151301822,31.77166131839165,28.559620953335482,32.083685868967365,33.84435909683574,29.34080019206401,29.24409892123673,33.310209558644296,32.98359006829696,28.669983047378864,31.41154067156508,33.767722336682006,29.895861868491185,29.290715950345692,34.1376497016124,34.352962248021015,38.23914613532932,39.88208792743876,38.46431094855353,40.98575772553054,45.05483297645525,47.08129718908283,49.438895529356714,49.11147291033351,46.43256105605912,47.21595655157401,43.37427968715165,47.71248161283723,48.379104314623575,42.41274898835825,43.73308044937958,48.288714710262724,45.440544875494105,42.16080134819256,44.50891058430736,46.571236119448514,42.91500168328587,39.814205247374254,37.45404595960197,36.52805525348254,39.413696172161714,38.82493667036351,38.65635555648468,40.77605734705739,36.4533458456787,34.87405860380473,37.427337501607155,35.469490001458674,31.157054409883763,32.79172430227434,33.896801477893774,31.28950660797841,30.714479368890224,35.730062873538465,35.21897629827936,31.54434432370531,35.085866930580316,38.756229952684855,38.59915960279178,40.30395448968322,38.433278927886256,42.65936322789658,42.81204305866862,37.712311133143395,40.39788413367913,43.41547892950377,41.107462473536216,38.978021548397486,44.8260720624348,45.5016325509724,40.48786037576886,41.50939323446359,46.99227589756703,46.097682086965726,42.57195452414046,38.51277192310512,43.35094703106219,40.20483793107118,40.53579566499983,35.2959470459772,33.41993415474748,28.932328346629394,30.380854319229964,31.123810154124477,34.38788210263837,33.320229353510065,33.32621715557598,27.862008133459828,28.71641367052385,23.552016947062373,23.765322479571232,24.277469193561856,25.774429602027666,22.22988954928002,20.617932851625646,23.58630272101568,21.634137713607956,16.96942215204172,19.93594685022638,21.254918260576524,18.85150029476572,16.75387352220668,15.314222589933568,15.863003567492242],[27.572528282404893,26.494631304214508,26.185153022167086,21.84489767150616,22.339017733996517,18.585675410852343,16.008067645938784,16.70610563560287,12.119099469140702,9.608869645618956,8.43381778405337,12.409349812453211,12.388138086720879,7.778908157252934,10.870263268137574,13.992133305510812,13.670201292561687,16.27977997283372,18.59186136370533,22.076546214957162,24.878055840216987,29.26235135791887,29.75350347029978,29.99902129477854,27.8497203793638,23.403173085250636,22.61391820521111,18.826668515745386,18.29660509335133,18.34072885579869,17.82840076395865,19.81608213599001,21.973065216937453,24.786410603578204,23.95467746374373,22.313328586008,23.43410254257836,24.30171494312641,25.454080369748308,31.91294472168305,29.21949641687528,27.683703956061798,32.030884941120654,33.360178215212876,34.99594689129292,37.08558432047586,39.580478661635944,38.274773839892624,38.501001910717406,42.88966852867536,42.806798672365005,43.91421869408494,43.16568817328998,38.300910912912165,39.29010042469138,42.11290682358964,39.067993932718196,35.9085081544177,39.2638585449409,41.16659876364357,35.929166422590264,35.326606802526946,32.437694186527935,33.4450523634218,32.61888243102792,29.200679820720215,24.937491597688958,21.496735113631463,18.290563373437625,14.89744941712044,14.292430887604075,15.967980650520303,17.75390956508259,21.77032142025361,21.425465293839704,27.37694346372422,27.754591797754248,30.28030693662045,30.524941823597423,32.841894394006246,32.01240383726634,33.22453695181142,32.25015802870123,33.921989632798926,31.25189578531059,28.268652024646784,28.248398378129906,28.394863524904704,26.2745601095645,28.044291245996643,24.543412224266348,26.27175970955506,22.719409032884524,21.26426258259028,16.954199219707743,16.29465682205411,12.316430905377983,17.36423728765272,16.827241551543647,21.067383613018578,21.747442030017872,24.480378499644345,25.049174736496344,26.6417175709227,30.863191808534328,28.28675269246906,32.53283549333104,33.395743887789415,30.913611038149334,28.710505624339138,25.061185496074614,22.352891158195288,17.848723852034244,17.811149981763982,13.706449236728506,14.867590761095684,15.113445101279432,17.240461819396792,18.021113247094437,14.59865556315889,12.168617945006758,10.023527629674042,12.2324454232655,12.54864520171571,13.201714790327456,18.341754857457378,21.119067485065,23.095754025414127,26.627954764289935,29.04311171709047,31.53096143080224,35.218882039847756,35.09087306015941,33.79913842897306,30.985116137576515,26.483903205677827,28.1048717903494,24.356830056978634,21.956052497687924,21.806318630870972,22.58162645443899,25.172007368984676,21.92644054877461,20.971777246848397,23.285965354610376,20.410712314961916,18.84252418361676,17.764759374767074,19.46143126936304,16.873778463939793,20.61034807777655,18.533299623981137,23.355936191897737,23.07076691627507,21.13100233220015,21.223726473903596,18.46061245639495,21.631832010359823,19.916385747424993,23.3964246650784,23.60440723203021,23.023122699537435,23.50639833542068,26.789001305962643,29.887986487978704,29.370593895325147,32.87167815642879,35.604393153550994,34.64242342065496,30.58011256622032,30.358721132821913,26.87852700581251,28.61030672490723,28.264267985794287,27.5236816472139,28.22216710833932,24.621808699363974,30.10810869935648,30.2550078800696,32.39695980424537,31.927502454576576,30.08861735467049,35.170270687477185,37.76442642948636,34.79898884393429,35.43496910780871,32.80916911885914,36.923701047927736,36.99514254471682,39.08539108625722,40.90697816913308,38.73540988336432,39.22180918592744,37.79629300048842,38.797100238422814,40.38842271451651,36.49098799215835,38.00636920838525,36.900000723052536,34.06840980612292,38.03348491199833,35.31325806545867,31.900439955841893,35.17765723201216,37.24694143643037,32.787335462196054,32.10777153734145,36.39752261272978,36.4833777914851,31.819046159939134,34.31578254781528,36.87985007671317,33.08752632154638,32.001432730095026,36.804902732657176,36.924540477756445,41.12689247921275,42.373038668969144,41.30321339290562,44.028960419967824,48.14616545090927,50.35852834295896,52.695045231805764,52.60525342532577,49.92402602250578,50.82196136657031,47.020586457165734,51.25600956545226,51.7865893417343,45.70195533422517,47.0919143693328,51.473238392971815,48.44744118309158,45.163832310728324,47.421794587764396,49.257286141698366,45.555844531260824,42.39350953321873,40.318411085108075,39.68603790049531,42.74851837087943,42.382743151525645,42.41963224169372,44.724230294321735,40.428355423942484,38.65610839583118,41.35574231201606,39.56850159261956,35.14882526472226,36.62532181671042,37.894357557008455,35.30642928463772,34.48522863056358,39.54020098999146,39.089620305519,35.24161993348585,38.63119471785506,42.392695588324585,42.13660324563398,43.992170061694196,42.157038743256216,46.32816224268071,46.32157580614948,41.084620850061654,43.82411367369607,46.67998761884585,44.23002916827263,42.024207456793675,47.90693876677838,48.35240220073642,43.164979711060894,44.215382633094706,49.674882319649576,48.56284914791056,44.893640155134705,40.71599851748511,45.31604050073007,41.94102494703176,42.60639177887223,37.25890891647022,35.82609642006183,31.35944180966603,32.23179229285279,33.07853502296706,36.1980106918448,35.32166967716264,35.82931677575746,30.436960573210026,31.550022886503907,26.347085774926754,26.90041183055755,27.946531389518128,29.619403129732735,26.270445982189905,24.22587861760176,27.155356086044453,25.500351655398813,20.720628221544324,23.159772357430555,24.737896426321022,22.67002217129242,20.728152482187916,19.506502063217635,19.925609250976162],[22.507989492882203,21.89630870191726,22.355011844837932,18.393964186476456,20.049248577327802,15.272800496230568,13.8466049150918,14.589659043082287,9.881879773863803,9.90789374414924,9.461868970850192,12.54651358702909,14.246321002355145,10.861520037443233,14.429801637364289,17.187401703461283,17.460193019919316,20.87401547045978,23.761598587274484,26.819813703323188,29.994874206502047,34.20840982864756,34.9676215453612,35.11795250306353,32.664630097227565,28.288179587520872,26.958122661450105,22.895777897033575,22.249345944339005,21.501274569722597,21.81560523355742,22.5177096072553,24.70765447715478,28.257455054743247,27.365975296988772,26.236818679739677,26.477805145960073,28.085837517216206,29.054395717245608,35.38365942058304,32.998746894309924,32.090487868311804,36.40952521790601,37.44464069343141,39.32011768642848,41.21080652365293,43.91527838562515,42.520323887258584,42.287296096140935,46.722344898736225,46.776853640886344,47.61437443561952,46.997757402368734,42.20434710446612,42.97546851584557,46.159245003618864,43.415803834123146,40.09766181728913,43.4627336930365,45.68824169220895,40.6591571507407,40.201747095821766,37.184898699947155,38.64283121836266,37.71425021986612,34.038589922748294,30.221875726433726,26.54541917875572,23.78308074310402,20.224811197240854,19.95214837978971,21.676771786382304,23.200615424878023,27.30435297095052,26.473127039939136,32.33954826690784,32.51737309029148,34.69259565873455,34.772162325090385,37.055523195709064,35.616452116452784,36.69076200487539,34.99588669101364,36.562880320599376,34.120435546828766,31.31908880956891,32.02907674692903,31.71993123955536,30.441034230447695,31.916311318156215,28.840504926798495,30.741556526122277,26.912923236385158,24.83988861087721,20.382928942731606,19.507354450128386,15.393351583800504,19.491755792098374,17.956206739834844,20.857905462685878,22.9562775643883,24.519327458833004,26.27783340190035,26.84647805127543,31.450369288636374,28.18880429238256,31.95707338423234,32.82500808943197,29.77883421310483,27.626359973525897,23.650463734337173,22.075608727657546,17.326779679437323,18.43003336999977,15.541820487670648,17.20976040037813,18.629527342582154,20.970284128103913,22.84652909788331,19.355299025977153,16.861011348349237,13.978463101853313,15.107411490546879,14.136001085127651,13.177245854537096,18.38514471636004,19.45288456750455,22.568175029847907,25.896519878010885,28.955050851277157,31.064219955990964,34.7907303434848,35.36185022082745,34.225544913611216,31.569119760819778,27.116450173122495,28.06452130481198,25.158418917257674,23.28209351224042,23.883741096218344,25.430621282246616,28.699859875918236,25.75542297491493,24.181907401615327,26.69298254001134,23.610857806393387,21.515301315586058,19.766671520991178,20.432805419730652,16.88885371149389,19.663583727442067,16.90912149349795,21.649246689173744,20.395621295621385,19.546018715310986,20.486732400984298,18.48541951925666,21.421831042655867,21.009961978729187,23.890790924197862,24.904121377861916,25.45740184614714,25.901526317066377,29.525513903990863,32.29189361772333,31.56405443533751,34.59222899171911,37.37855883169583,35.77117320438652,31.85723172631919,31.45449276563984,28.365577160625097,30.36694460893125,30.020005842704077,29.479073964820238,29.788127417304818,26.613611909621184,31.99586479403859,32.52382791871779,34.169376290961694,33.86261748389799,31.060365862073212,36.32360142200725,39.13799929375969,36.41331235915097,37.87688768269027,35.794031518509755,40.03068831501424,40.10528546289071,41.64927646227647,43.15552196348755,40.674326283480625,40.610990935367376,38.73357149985336,39.281929608745685,40.35589108383052,36.12626556320896,37.17430414185466,35.43794338072664,32.50950852969972,35.90744454722862,33.00175376674424,29.67943177154484,32.59778771888132,34.29086732266328,29.603750264139098,28.97830585963312,32.97444060732741,32.72044569575399,27.84791583332998,30.269594052637984,32.56054778371229,28.540708451494528,27.468428157014024,32.22911470219793,32.739031509576435,36.68599345035384,38.60277093877912,37.600439163809966,40.079980981217474,44.50249413779807,46.39591524786545,49.186526036247024,49.2240404675114,46.87241955029733,48.064336866892646,44.556128233195366,49.050572397544514,49.27534300946199,43.33787823196064,45.15325116819833,49.55334143824393,46.39437980057547,43.406725890550426,46.099009537157784,47.648681559343856,43.73086139682993,41.30162802319215,38.54036180783529,38.373239293265875,41.191565108751114,40.237981642502625,40.45183636731133,42.3557409717082,38.3765021171782,36.46616553454407,38.49666654700511,36.794122595695626,32.50113139562971,33.48286887765077,34.358013071951675,31.58970680288007,30.643583755639646,35.60906483537707,34.861968098958656,30.753418599479247,34.23488991608737,38.03653539755197,38.03862838385644,40.22888813969825,38.83013915348903,43.11091737686657,42.66455977842683,37.5953894043268,40.825108868283216,43.44980417407316,40.84643418031165,39.188356498033684,45.14690165919975,45.26016915777943,40.22550153186851,41.80912797232476,47.09722172210532,45.73182056785258,42.18361122025269,37.85841705256176,42.493549096988815,38.98814109016358,39.13059305698337,33.83558984383643,32.38699758687323,27.675625279973275,28.850512067731678,30.155106974122916,33.58151870261093,33.07432158960023,33.35527787365589,28.265770283490486,29.839034087209082,24.748913111360643,24.233646085604796,25.451147810586605,26.543321064516757,23.520150026404664,21.383091913165362,23.41999660198205,21.558498126176346,17.358664511454336,18.904488194968035,19.932036981581547,18.18026854275164,16.501128952025393,16.03503487120707,16.587766891554395],[22.67784328000463,21.89897563119361,21.73932190809434,18.71108570114377,19.323398684572002,13.949364278928808,11.894475900074498,11.15255616375131,6.373953633953383,7.155522205981374,5.989195079009119,7.965624231625509,10.915749778207013,8.984397342738205,11.833063994767599,14.126330867712754,15.415628561745846,19.129122566293763,22.96832277419489,25.302682446166227,28.913017230151535,32.871667731884266,34.15453487710477,34.66120568202859,31.828216381086914,27.653323177588035,25.76292424723878,21.537184676026186,20.117722362180288,18.48098044787063,19.079757052397255,18.79689063077464,20.920597182760567,24.897389343200356,24.00367405939496,23.451904299280674,23.133230720329895,25.66247595767187,26.883438420292794,33.00239940320189,31.36506696254173,30.476911246293966,34.56908265368685,35.675590013518516,37.99279678618127,40.05381369743959,42.708985234819046,40.872562683990616,40.65603146042531,45.030668980627595,44.76132595175733,45.310629246947855,44.57419918902722,40.01874328973901,40.266030668838724,43.61592480632056,41.26005174966619,37.65202582261395,40.833868749458986,43.48197844102168,38.70885610676019,38.17293470028366,34.944835201626944,37.03452161198104,36.15990365152212,32.162380351946766,29.002527521342166,24.95002774524106,23.09191497757666,19.24083928703933,19.76496639750102,21.951908713717167,22.506146052655843,26.54476860860629,24.81259037917082,30.473893270385123,30.331457524135875,32.05382890057709,31.996679556594753,34.34253999083711,32.45657095601003,33.711366659968554,31.52818039306105,33.35346765801906,31.360797897320808,28.323253529336935,29.355027661581808,28.41379383890704,27.783407267263705,28.802001976213024,26.19071005607906,28.358420901022956,24.378680482439673,21.811356534364904,17.304382855364207,16.652299633656526,12.526296565899507,15.540966661356755,13.515591497268902,15.984827314234327,18.462519212589328,19.855561725745066,22.03777748366724,22.658615615972245,27.656025695177494,24.667273456615707,28.398916349548646,29.755453753198655,26.988790490111654,24.32468448808754,20.78588510386615,19.261789771544944,14.592968427706786,16.519837328954072,13.773351696344726,16.44694797604918,17.773843822643194,21.041932877379267,22.781391677113096,18.63204520668388,16.873716131991284,13.687623214515037,15.667826038391986,14.008314940948058,12.347005514064387,17.329732570434295,17.750587548005758,20.623480037326757,23.72781715341579,26.297739215556167,29.07693012051704,32.38010206159969,33.213875664666894,31.4950866308703,29.585220848128483,25.317297306472057,26.976910208941835,24.3726279732692,23.121574542142316,23.222256044994715,25.689643486514196,28.652652855679385,25.330605914220644,23.37914532487649,25.27407047699796,21.683233908613573,19.755034667288285,17.152670206610185,17.333024367841652,13.398134403559158,15.764229017651683,12.465221939090796,16.989180646195905,15.809090463042487,14.644330822212366,15.618075799256303,13.889655049422263,17.055240753236426,17.00874615971684,20.26357990832264,22.1592683290505,22.781618589394874,24.18211189886467,27.422516257382075,30.667689538314985,30.719339565297403,33.30914170974488,36.54186799785575,34.95386856670386,31.224047704908727,30.312206882922364,27.118577647878748,28.387760297657838,27.49425306677335,26.532275272321613,26.284121221867444,23.043810100935143,28.173001182419075,29.25658852332936,30.74258039350242,31.102309647681505,27.9644738724523,33.508569405837186,36.56805899710065,34.11281175930308,35.5991433181496,33.685887640236544,38.06498619523822,38.68950093801337,39.95109302896662,41.596173633106446,38.837792520204154,38.91502190584704,36.99369426240229,37.39762331378222,38.557017397986655,34.53663761858832,35.240774862892074,33.700446113607924,30.301021863474897,33.683034691511764,30.381995218854154,27.39613586943021,30.85673675726095,32.162100195764694,27.49240944573751,27.83223938650523,31.544185538062766,30.682310376944905,26.489974626425255,29.33105240212702,31.33666552263415,27.227033936560908,26.96429181783719,31.785549551899653,32.353575191591354,35.85181836866883,38.20025796955503,36.64456052676327,38.86366107416301,43.10677369977484,44.782339765216605,47.469175881151024,47.060009035435506,44.59719159433816,45.46980841153508,41.77284271624295,46.32879690190188,46.92412037326569,41.141068225426146,42.644437568856866,47.317423839339284,44.519398204972276,41.416050636878396,44.03712022155574,46.07704305994902,42.34301036644117,39.68135998689405,36.80449383311435,35.94010154582838,38.55952448095784,37.488353756509504,37.23659808299141,38.94906822940299,34.776430762319976,33.33084085363401,35.34201025289128,33.23881873719302,29.140922287021166,30.625899576711063,31.276350174778027,28.498597280425052,28.108897935486446,33.02028186351365,32.189802828893946,28.465285209646044,32.25135667961486,35.87532767442712,36.014446367712914,37.839518878990425,36.241576945609665,40.583236128830315,40.56912856815955,35.69350856744778,38.65397746224205,41.63199409914721,39.32203773607389,37.595604874033825,43.45132922000041,44.057109879736124,39.251118841281226,40.57535369682877,45.9510354426056,45.019190827373976,41.650192329760564,37.57393981025533,42.519116848166085,39.40099950868386,39.24935092411178,34.1190467486987,32.034381285425965,27.397462245443567,29.314241781981142,30.30221065424265,33.79589685175393,32.87490475822129,32.50180057702905,27.220329987760596,28.18207665049379,23.160212250700134,22.51430118940486,22.708699355556686,23.65128112303247,20.1082927848862,18.90420875630147,21.25495649499504,18.80484793120526,14.750973198519171,17.50205268096026,18.034355569385205,15.444317066371195,13.201544612084962,11.984513727395859,12.38872829613582],[25.838432189213236,25.612333783101704,26.14745564378409,22.996499896264776,24.25492161130439,18.7777959884194,17.060100859926603,16.198459955486488,11.529101547416214,11.79195784161217,9.498647529532244,11.050902501076402,14.541854825757223,11.916537922080606,13.454004275849334,16.365989374552793,18.18410553220218,21.044158435958288,24.606478321925373,27.383766694623056,30.608468081045594,34.81469511485725,35.828881748832686,36.57362912969355,34.14849611337698,29.86958381852406,28.55264916012142,24.518717209302707,22.845374368047086,21.367381870653816,20.288204855423096,20.95171377707168,22.130100427738718,25.8655965601135,25.813840579242438,25.506071055574623,25.91879367003264,28.553854662642927,30.171031436955026,36.388764385462416,34.70512278905141,33.11809041307865,37.17713761451705,38.697013435950595,40.87148798340039,43.1577897389079,45.58518416473329,43.763802259115664,44.016821509283325,48.34555188611077,47.84574997756803,48.5541960799779,47.59770436221892,43.06576119957962,43.218079293086674,46.24498140802087,43.74593481750691,40.08231148703769,43.04472904741482,45.60083835333683,40.642039155775876,39.540475770548156,36.130248815633585,37.88023567215442,37.57579975681997,33.80093756515276,30.05830489831031,26.047368678291036,23.82262013461683,19.66014934940759,19.912078253730602,21.213610228537537,22.01221078488776,26.4984240237027,25.10817178748227,30.50010431174181,31.291472763227592,32.77882053716385,33.40389447968436,36.227408559208676,34.83017759994777,36.63014455168156,34.74654786098553,36.97494628528969,35.083203927310954,31.667180449879456,32.088264721579364,30.942704072235532,29.69331297940383,30.02215338540527,26.982187726937813,28.29271533461204,24.24870002899893,21.87152473416482,17.861477202939664,16.11143544919445,12.605155065729218,16.66771788615051,15.514479268708971,18.06495598948282,21.04399475910353,23.341552980014185,25.531363347794425,26.870718222150057,32.08449301136473,29.47463034169483,33.24673360500087,34.80070310312863,32.133177302356344,29.334526809475456,25.933586788650196,24.337196214969087,19.707227614406353,21.4007718288078,18.08960229686863,20.495492812347393,21.172246811063165,24.183576977526137,25.00696570315219,20.86577269440218,19.14591511099021,16.545017441831416,19.010427220613668,18.116960964291486,17.101003286570432,22.24274272062121,22.92648190821037,25.786295438153438,28.92288943344663,31.37591299341186,34.25708216304441,37.541064249292866,38.28927983176586,36.45800263760116,34.58357958046152,30.27797615074921,31.998530514930664,29.13426045754233,27.535483719975403,27.502665886640756,29.35672914241768,32.05129066919623,28.577269640112714,27.091573840701457,28.896212477142843,25.332218183661308,23.768327667281834,21.363403602216035,21.94047495626113,18.188781777702626,20.53929076451722,16.805070720532424,20.71850644602198,18.531258501277293,17.097817323368233,18.808371676465118,17.54519614301732,21.226448210522804,20.906246823286843,24.837607272526867,26.780817546443906,26.786713307420868,28.430539228242324,31.453262474468954,34.973412077712744,35.06048936595186,37.927803118343306,41.08776991113957,39.70251456710142,35.86571223418502,35.108190462504716,31.77916844560291,32.97791613968418,31.998700523575362,30.777516730529396,30.436933600079286,26.793582379955225,31.783692296101208,33.115791326671825,34.847352685322086,35.46577776256348,32.64048762906501,38.22654437593151,41.27261150181016,38.760805807757684,39.83598324713434,37.592232964988575,41.93055365588852,42.61614761618509,44.20862239755529,46.02817754405758,43.39868480610689,43.700573537406655,41.91894082301171,42.4407073135369,43.693664734262256,39.69521866188729,40.44812730180361,38.890274749063785,35.489224554226446,38.78226478452562,35.39666844764263,32.49307223949723,35.868431497222666,37.03246437710913,32.293751553455756,32.623940034286996,36.22641301555088,35.150326042196276,30.885217729311407,33.62146460009157,35.435064361334064,31.142397277792575,30.82036926674302,35.55785465311725,36.420041863762364,39.79121040874017,42.505308823069484,41.11239058465033,43.202711538641964,47.62749988908137,49.08237875207652,52.05188873155531,51.66696658532293,49.35839304390116,50.282987812621556,46.652120896240284,51.28751501709425,51.87199140227011,46.16630104937426,47.720199364128405,52.4239241493876,49.62475487940375,46.57253859868293,49.22963889656253,51.235557408988996,47.46069673210426,44.876982809538234,41.9609298702213,41.11584310695328,43.67971968866641,42.484235613415876,42.11534358377061,43.59726756552929,39.43456614887965,38.20687544338695,39.94074733897028,37.63742501187758,33.774548839844805,35.24748820800626,35.50936634298843,32.59093322348414,32.40366774407176,37.173911188734245,35.984351765112066,32.1866882138236,36.1802545560499,39.764950719983865,40.19770438746764,42.181636888122036,40.818953845227085,45.21934279815762,45.0462884056158,40.317927636994845,43.47463714166875,46.37070590218872,43.99750543434838,42.50362836751167,48.37354064605208,48.82333540731357,44.05009220310581,45.56685399986733,50.877649229536345,49.78844245791794,46.41670556306258,42.22905683247713,47.06733990156246,43.75011699560791,43.520833032923136,38.36244101124944,36.50923194816574,31.75444925385352,33.51029897798819,34.79283819275163,38.33762608483134,37.65366091692416,37.42102215158506,32.24419510043774,33.35006966752698,28.331620889646356,27.53321785961755,27.697478064411534,28.359459356932515,24.78022479591739,23.867242228811516,25.799020602249207,23.025103866809886,19.524359488912893,21.77623149432335,21.58950161185654,18.989327672468736,16.556040724416395,15.449018548609942,14.85902891527982],[24.87643344851448,24.921022228702586,26.016167543119728,22.556039443625938,24.615706432266187,19.24288143905445,18.11565468060696,17.95786145632205,13.265004008339996,13.788791371060652,12.14099579072867,14.165942750819436,17.240592559300374,14.127083840557047,16.29820150964425,19.322365217112846,20.59651728834656,23.47936435871818,26.5761853350049,29.69166805830335,32.735487184966516,37.053365744424354,37.8066364206415,38.31220932348405,36.05089147405115,31.66896187362826,30.566497444470343,26.56947416195118,25.33798046188657,24.217469583937973,23.274741520586407,24.1905018971152,25.494585871683157,29.115062773789592,28.994037792639237,28.42405710685245,28.94167861903371,31.176558043924775,32.59132714522002,38.9057690632302,36.84801056550968,35.395656635602606,39.58542724412628,40.99098744322886,42.954736500251805,45.09357732678365,47.59987953036516,46.02351614768277,46.160569438999445,50.53934338330064,50.265306538295064,51.084921284424745,50.23183964889306,45.570131422800294,45.99089664708933,49.00704059967942,46.34249867590415,42.819609482125045,45.90201161330453,48.27527575898479,43.208421360207105,42.19988639054986,38.90416790342787,40.361168398883216,39.98937605591656,36.35747818468796,32.32358129945259,28.508841078710812,25.824020958377083,21.85234768240407,21.66402378679985,22.689060453288736,24.063947063537835,28.56601891245785,27.652877571415033,33.14060357062422,34.054526637333325,35.756715963831944,36.4007766768693,39.154646073373094,37.87902581810411,39.518044976531556,37.75400109240887,39.79163107870515,37.681018969476575,34.45445951403954,34.86748352553121,34.01545803772302,32.584275108210164,33.16836625490933,29.965180815955684,31.17876736326036,27.210054380846877,25.03481596940591,21.038360207467868,19.241203336048244,15.748198891774816,20.07247562828416,18.899824987001153,21.343965762075122,24.37249774164169,26.40569621024072,28.630995676563142,29.655898872566112,34.73354861761754,31.792255120379377,35.474682678089145,36.755902419689626,33.79853172760691,31.291109451569174,27.575224440220918,26.217562818631876,21.49043744323567,23.017053748754034,19.900334523015857,21.878364718762917,22.826389880449174,25.358417717664107,26.462586015973006,22.703245554353643,20.5496883275192,18.00047720701723,19.81825541261072,19.070588249503817,18.106881839462837,23.307722667179288,23.92804406592625,27.155848743917204,30.354562794841385,33.21729176521447,35.644392159579276,39.165595616332276,39.93207534007754,38.4617072640784,36.21030237429822,31.82032907669957,33.00692900677157,30.177108406457375,28.363556568982204,28.748218559933104,30.242633971735714,33.23116880520661,30.037385530730617,28.642000338670105,30.83231500519347,27.514563337527605,25.739267622301686,23.658304694962418,24.263174727671004,20.48855109437138,22.842750647445772,19.250322942855647,23.319688695161222,20.90357829820799,19.99493431599094,21.828784034812134,20.54881324957826,24.004092994380052,23.800836795123974,27.35111785484368,28.98876422286238,29.223046145434566,30.316228539090634,33.63142420723757,36.80528128223795,36.4098769335739,39.41661208739001,42.333204697547934,40.798679211943856,36.90183717997306,36.38729581436113,33.206573151335846,34.86611141713737,34.193374777051815,33.260498849635596,33.15485159163985,29.659702193205522,34.78634196360263,35.87070154626232,37.5759140434618,37.839807747192566,34.97620871158055,40.44970220574718,43.408914263464446,40.79847155408459,42.0517746996821,39.833342398288984,44.12005495099236,44.484024358286135,46.11945654755591,47.78744152238047,45.24736578539124,45.34480187039003,43.48583802567815,43.98417921215482,45.06748691208037,40.87973867042912,41.70995971214841,39.89439820901096,36.73276613314696,39.88678296782845,36.67483185697113,33.61835142322703,36.60141801615192,37.872273060162975,33.077446698370316,32.908936094530766,36.56363307785124,35.72349836835241,31.05441803308947,33.526425643368334,35.39913857108515,31.10656200310948,30.35823093631913,35.011010437566966,35.9611381561309,39.48046003279043,42.145297739068425,41.088178734771276,43.24251819584735,47.842744841248575,49.32530501131841,52.476379632159734,52.38104698372405,50.23016756376455,51.41341678260746,47.969801056015605,52.63499911329623,52.92923857296182,47.18228972135691,49.0194237747624,53.56984147665389,50.536003989570105,47.62885643810826,50.43170021772292,52.08620414016381,48.161116064796545,45.89474354554236,42.87884318844239,42.53587133342233,45.14739526207286,43.86923711408077,43.806473287843744,45.29279844562084,41.32323934830602,39.797859071993386,41.367017892245094,39.31332491625458,35.37431887119109,36.43723372143454,36.71463785784612,33.75519960015937,33.22997159508207,37.99233786622557,36.76208007989206,32.68520423833202,36.529967396889646,40.21410575832268,40.64958934752022,42.929374343356805,41.80241966819949,46.192743640756014,45.65559335010279,40.87906605292972,44.312266290118494,46.94244793888385,44.3692979271235,43.067414583178625,49.000590064212695,49.0825377950458,44.23805277425925,46.03623438916873,51.238250013334735,49.83916788355482,46.40985827239629,42.061623223653925,46.70942478098552,43.152192649760075,42.945652090038365,37.74368390069761,36.253758145972554,31.42737479329626,32.84813731747053,34.42028623643496,37.98089579372651,37.62767615086824,37.69509017570912,32.72773944871277,34.26608702452896,29.26037471905731,28.269622605000105,29.0069497059349,29.596947887384836,26.384373467543142,24.96266962732618,26.48659014369262,23.969453121329096,20.568984433501438,21.963308002380536,21.837910236469494,19.782434261266257,17.73651182104264,17.2477149033935,16.861503902474738],[20.511506826375015,20.78217715693813,22.17257886722945,19.37507839186526,21.83713688904569,15.9473401171136,15.650958084439052,15.372506142048838,11.24881846529475,13.430915367312604,12.619650234509917,13.912654318372724,17.53324820845087,15.390050967241269,18.0967612466849,20.60602174600818,21.949976777442995,25.492529896288453,29.014669270789927,31.689866738696292,35.10990214614654,39.21359129011214,40.27023751646508,40.66431005276697,38.035528992383995,33.749472966561825,32.10523654725543,27.916402353111618,26.694256848435515,25.10145341444934,25.244732190458503,25.06222944262335,26.698553587706794,30.78426881100682,30.296720312918087,29.947786156202316,29.676662764866208,32.29483659493524,33.466357995504424,39.594721716112886,37.80915174326679,36.96976717750823,41.12095972868767,42.20348650749428,44.39270341425039,46.345951078303905,49.046486265628246,47.369219395677774,47.06652316106533,51.463292727879136,51.32273538580693,51.88965330602397,51.19126278401038,46.60916478312329,46.887448672827176,50.24033932491048,47.85469952996826,44.2519458407174,47.397472025960404,50.02458582092501,45.18970721498395,44.49384017318662,41.19400503619745,43.097830968367205,42.43102248417488,38.542537352785956,35.04596810768143,31.068073162219854,28.81475992793373,24.876650111025015,25.006914263443605,26.544053909819798,27.604538028409117,31.94557921842047,30.563691005721257,36.101741085234174,36.46920109907744,38.03852329969335,38.28866276975875,40.81604236496669,38.97413796961791,40.324070088928266,38.010253109352114,39.834706064013346,37.88493920437411,34.921568340242885,35.987987492784804,34.92361581384813,34.258879104754286,34.92541194711606,32.19356686355494,33.88375013804985,29.814684623275635,27.222225931378226,23.021973011746624,21.624861443713122,17.932196003493033,21.13228373360871,19.119788399502497,20.48937122012962,24.17771695833454,25.07622030655097,28.01540419765256,28.135935197022658,33.28464194801287,29.890248037287755,33.14311393158575,34.39384712234285,31.135711886006497,28.711636364984926,24.918648352863002,24.395310281406033,19.770683450385363,22.021263979008125,19.87390653391386,22.15983423147675,23.840995193933512,26.606043937720354,28.553303777169713,24.7121790195801,22.555763083744246,19.49361329838881,20.730667749993753,19.13888991878191,17.19713141803784,22.04401324213186,21.410465003453076,25.20593524773118,28.122922203793255,31.292150529237862,33.4678648909424,36.89338098967711,38.15163858433404,36.772137334991875,34.73639524103491,30.507314472357624,31.326344012297533,29.18364468994004,27.893450100502967,28.660274054964464,30.846734851278033,34.22298884511501,31.21671805000754,29.320083342593936,31.563018823721087,28.13886843606072,26.018483416916816,23.53643717331819,23.39436572580602,19.19246184338509,20.728698056154098,16.95025883121097,20.808842101110667,17.98502765375698,18.077128041536735,20.250315812653064,19.471896811592853,22.442332556548536,23.176062179409172,26.034991540164956,28.158620524100662,29.232819429620193,30.27678648891917,33.764115057053,36.65976180559026,36.225698580534,38.77641446805362,41.77260790930805,39.80877261712063,36.112397891798025,35.38381127258019,32.51809487294306,34.247007786011544,33.56090282035643,32.81116369524687,32.4624068047071,29.43177809190502,34.41213001610841,35.66231153498004,36.94516679231978,37.274797982761655,33.74883348382192,39.24755711271586,42.331027875128584,39.94989955363298,41.82222394181761,40.07408463768586,44.42338863441424,44.82544201717153,45.982501450771416,47.404961509057124,44.62254185128837,44.33021913796103,42.16574981416877,42.32099536086127,43.04549257930347,38.72918573227418,39.179992725397604,37.010939285494885,33.77734755538629,36.50355030492739,33.187291231917925,30.290422091764288,33.05975574431289,34.01417509395124,29.16678955571105,29.210696239219278,32.557457967750395,31.42807872833469,26.823628430606274,29.30206776156858,30.933864835945883,26.549667874049856,26.00991217923287,30.60497172967306,31.770804305824743,35.004923059416285,38.11621604834254,36.963105285868146,38.90443420833093,43.59717134663206,44.86930804092487,48.21633750151617,48.127517209617125,46.160590372701655,47.47403630730979,44.22103835962122,49.00375384159514,49.14340872009516,43.55648861151472,45.60335391477761,50.151390750327955,47.113137957863444,44.40562546362064,47.44722359827435,48.980538498372034,44.992776785967735,43.18251378593255,39.74399836168668,39.61294414588217,42.0091137050945,40.3648872645772,40.39801345837056,41.62667950257037,37.909250104719916,36.30660502710081,37.44956173284814,35.49135186678057,31.671476344324155,32.42284822989997,32.47401066100897,29.457156724536233,28.875942671342063,33.53364460136443,32.17635757896261,28.02039517723646,31.896610124466648,35.559267546970716,36.12424315788817,38.522683833672986,37.62781263386491,42.04109591728324,41.309698690955145,36.69575659457417,40.339532915306364,42.859235476220036,40.27260690992141,39.29521459672012,45.19230213871508,45.174775163728974,40.51894877150303,42.562024850598156,47.62755782069094,46.194012291833566,42.9160711207207,38.59805610629467,43.309176021981564,39.84188457967837,39.2346763935719,34.17650067922338,32.501952876517336,27.632971725382575,29.445632635991004,31.164394213717998,34.87255334438785,34.62961603833989,34.38273579964668,29.670139258945984,31.349577609342123,26.574823359654147,24.88548593185059,25.57574612027398,25.757104239060805,22.84069745083148,21.472897904381583,22.37460707745402,19.735910512260958,16.91766925706085,17.781547404859978,17.18645980604512,15.3224646562091,13.55148870512616,13.735381074343895,13.68999795541552],[22.51915763841894,23.43868687534297,25.397298558552574,23.19595809231556,25.963154105120246,19.807995719410375,19.83376176025211,18.959015061308612,15.189291494293675,17.60909420449167,16.238856465634296,16.710640616792876,21.14088717287455,19.27689909863069,21.16930876962946,23.711769304936634,25.69082907216653,28.944949419024613,32.643436261950185,35.28147084221711,38.65751341740085,42.78736577281065,43.889694785302126,44.5184350997627,41.968717245155695,37.69670244684512,36.13050411371352,31.966126868805738,30.36513997707396,28.461675038689215,27.896212015709985,27.65946347843942,28.635375025767225,32.806251854854374,32.85571668597324,32.979570441962885,32.767692300097245,35.89284318263107,37.33639054976959,43.39798806921233,41.90375394229396,40.78038157820922,44.81988100474658,46.11593028485797,48.4083570619843,50.509187096447334,53.096536607490414,51.26629984751757,51.15709497583943,55.510639465101434,55.144633495458145,55.644333600705174,54.793578366710925,50.34201905028444,50.31543440959236,53.598933796930375,51.342184523207564,47.57494147507515,50.498647894469215,53.288625135948365,48.48872694070304,47.430749137203875,43.92899709390596,45.91609224287149,45.62051801027857,41.733210818914166,38.19502050329867,34.11532876153538,32.00520962428643,27.83481591656213,28.065739304102618,29.191358732666973,30.07977703279932,34.624530044403336,33.10874324516905,38.302978004503764,39.1232958603267,40.27541219323565,40.885914138864905,43.71711195459335,41.89486937085316,43.61780259359334,41.149229869026314,43.28524291038086,41.632505519530596,38.416628543909745,39.37790529072378,37.864330983297826,37.24505015413891,37.22650440660685,34.53374643948441,35.76303872452584,31.62494981063456,28.905327756328433,25.131090980917726,23.159655930250374,20.05479326465762,23.03742412056947,21.203990727488467,21.84783526710019,26.363796043381935,27.359598060609713,30.77262099113368,31.06142499575002,36.52164054862368,33.33186306579297,36.37730156069677,37.934510957352124,34.72389719352868,32.080803898696594,28.550435587082497,28.342093799860223,23.841244202940626,26.408518011027546,24.232248149155513,26.711726361263032,28.181799925142073,31.08348548208567,32.653344105839494,28.640417923786917,26.68233026485486,23.763267935822597,25.332664629001425,23.81483918873153,21.83377455393207,26.60639691960137,25.538204740843007,29.42809712419638,32.167545124354085,35.21149327959581,37.55069709481154,40.77142206676167,42.27071385341792,40.667608693727004,38.98826361281815,34.85837681460052,35.77118972943059,33.796403253467915,32.611561567311156,33.29288073651745,35.524597672306435,38.781925825454266,35.6348036026528,33.790197012615174,35.831197508529705,32.243889966807494,30.296125306323212,27.56607921247088,27.28491087269449,22.95611489551312,24.01572995504366,19.722052907935545,22.76592312804338,18.86831958585832,19.21809357781237,22.18275666346506,22.145970456388486,25.318792246389886,26.369744722983047,29.543882419826996,32.17311493261098,33.14719309481335,34.62400465353432,37.914011474950506,41.04297956086462,40.83129888651671,43.2903284053975,46.38600486730735,44.39872244523154,40.754459900676274,39.91872217519793,37.04994310340411,38.54910803855771,37.63144952788216,36.63281468864472,35.929832736954914,32.78014714523672,37.47509624625673,39.181188920379384,40.414308566945785,41.19173433400636,37.51766463547186,43.1408221329415,46.3439222761163,44.10464889315923,45.93208483119802,44.17605826641298,48.56384825738635,49.18655086902627,50.3196636538215,51.813801444019376,48.94651430688311,48.696903415768645,46.49191885000122,46.539440788122505,47.19014267080553,42.902285934601515,43.10354488275041,40.81016929344406,37.41981828886855,39.81084541197373,36.26869254327511,33.67656341099795,36.39152042414342,36.90120529598237,32.04625146906891,32.50438857218562,35.42424074839318,33.73559168807921,29.433721543578336,31.878613736976714,33.03215646076275,28.491777985755203,28.30305963532417,32.64951382744432,34.24966144369799,36.9581039575359,40.81027518294956,39.61777898623666,41.1838937344937,46.00727466499407,46.830378407684975,50.53460960508388,50.33788112812477,48.629235313942864,49.965682326849446,46.86070504344531,51.779772795398,51.929884895005834,46.60350125919812,48.70983642898847,53.34436288963138,50.42933241982291,47.86606927904574,51.03679931283233,52.60737570072799,48.623207428029765,47.07517890811569,43.361579292293584,43.14905799345823,45.29951148022581,43.304949281490046,43.12845517615018,43.90308724386623,40.316437292695284,39.0505600324075,39.64904564373106,37.43499840109711,34.04256022220346,34.75919854535277,34.196755613225875,31.053787163831903,30.858662684507973,35.18344479273996,33.349216659861995,29.298527091986916,33.429340089490786,36.89856537867417,37.90508944147788,40.3916239548466,39.83481306377969,44.289909225236734,43.41858694615698,39.18241690406687,43.01790415087973,45.47215964209573,42.93407164929071,42.369800983888375,48.17101524234049,48.08706448337025,43.69121655278504,45.964239490508454,50.873161034634926,49.40097406963445,46.289821187072,41.998925258086985,46.676192033285155,43.20967399723087,42.21876496470586,37.34615496845968,35.64165926366186,30.767399621518972,32.809575256450366,34.75784231036253,38.550922522848374,38.47134661979414,38.003308354124044,33.51844685878053,35.18616875989073,30.59410924267526,28.44808410776537,28.73929963055218,28.39615043371643,25.494341165220348,24.77178701559842,25.06521720852067,21.94401979341801,20.108812739367057,20.662869274316414,18.938204071242424,16.995157167905212,15.120998180888618,15.477541258189781,14.607802686452034],[21.523330640328915,23.021444837215327,25.394945623338486,24.36900086964731,27.313578623294607,20.91424293459301,21.660070101492952,20.24622344127974,17.49988387272535,20.868815288941494,19.75588982434157,19.256870575171313,24.231083056370824,23.248684730689373,24.948544598415687,27.064566212045634,29.42105528552076,32.89747391507788,36.992283974972814,39.22525372683391,42.843079923755305,46.781482917614625,48.16929563401534,48.88397709446213,46.09562384001464,41.94778043967537,40.01933140253478,35.7815918463326,33.94594794724345,31.534463236625854,31.359124446510314,30.27071588618267,31.076863267382404,35.55384899464768,35.63385989301527,36.2214911116108,35.44462393850414,39.14617509008538,40.5746839333765,46.3604409663624,45.325319512532126,44.483668020443126,48.370812553388966,49.55224042957014,52.09426506913607,54.15097025043993,56.79169075447944,54.76163335486339,54.450425234186206,58.7534354313777,58.317631709055185,58.552811332207156,57.72135597666318,53.470783033539426,53.09701189387737,56.580926560027756,54.669007847246036,50.74608370010508,53.54156776546475,56.64119855166113,52.09433391963813,51.06217570663726,47.45432344891638,49.86140714437505,49.56030764908528,45.48930385253393,42.40174370742665,38.16176916716274,36.5103901546732,32.26904387858053,32.80873873385619,34.1094129841257,34.6236504948119,39.11458407608277,37.14745828876753,42.1254236139324,42.75105377400931,43.52501440642315,44.022955865689475,46.82937054795235,44.579681156407716,46.30106402131185,43.32186451170106,45.47861725211945,44.19610705867996,41.05046092503701,42.435804020066,40.47563475843214,40.50566217350805,40.12636411192989,37.88340966349433,39.21830493048839,35.029726552463174,31.97076386288994,28.383199066870123,26.484217585738765,23.655427232882353,25.572256052584898,23.31591920167074,22.612578062500198,27.946062333182127,28.06426758632282,32.23766745258786,31.936351724315116,37.528917694907584,34.247927636795346,36.7274729233069,38.488722405320814,35.20020202195294,32.492500471265,29.271124420992106,29.90365786678384,25.77311166180464,28.979247388411896,27.501475210986218,30.282603136959715,32.05101752393285,35.214513280266374,37.08694573297196,32.91705314791951,31.141517038650782,28.014634968212214,29.45820752284252,27.461994371950677,24.895666782797242,29.18216633711584,26.967815542587964,31.127940281485838,33.43014821834784,36.46932371488089,38.75414803288524,41.64077226513214,43.67089873843199,41.9482395330517,40.78211681511944,36.94347456222651,37.72375818420454,36.40746815561297,35.73214615988131,36.54224526024584,39.323572421950765,42.69769125831213,39.584193600488064,37.42471311198476,39.29373369548566,35.557165319759285,33.53585574871548,30.402677912200737,29.5009553673552,24.97470696773912,25.0341711802737,20.503781995934542,22.526139835871174,17.730227467524877,19.140506808691168,22.72483930299182,23.59884752039173,26.366251767890823,28.29471577741434,31.064758716785672,34.36010669451844,35.84338580950036,37.60170113478703,40.79475297923514,43.870704784517805,43.85954519041108,45.857863488979675,49.08990073460522,46.81184304584761,43.41587416591616,42.31275193907208,39.6988989993442,40.994941106243644,39.8837346210787,38.841514690333995,37.701799378965234,34.896826452628304,39.16467118337859,41.295500588372235,42.142984751894545,43.30510323135717,39.08763562218473,44.72783311937847,48.07803228768684,46.16409936575335,48.39228102552244,47.01297533979358,51.43538395565677,52.27570654723207,53.003894222465306,54.36592949136957,51.26502223121377,50.77886074147922,48.34873618035127,48.05458674001703,48.39316302418969,44.12807247911503,43.82830908263541,41.256982768471964,37.71301519877735,39.47790941274664,35.718368457147214,33.59523167960378,36.10969198766782,35.97077316115728,31.210106745476743,32.28413103611603,34.51741340093355,32.10943470468576,28.355261071950345,30.77657726227018,31.278253799549265,26.664294261513483,27.10172852148778,31.082190182112935,33.14766563869717,35.07219371764505,39.83815472641315,38.45274093693111,39.489941565467646,44.369095703339774,44.63996354124607,48.69603997061921,48.34678494752252,46.97915485454849,48.36622037976946,45.53823723298101,50.59046641712784,50.68252487544192,45.76944729584388,48.003673340729236,52.679129442930574,49.94219759791631,47.65296564385257,51.04159041150702,52.602293574570105,48.65699989884839,47.620443120128904,43.44187763554497,43.236298839264144,44.97885400414533,42.46283867365758,42.148015437963984,42.33764711689289,39.09866813234871,38.10855772962029,37.93293875785335,35.59468270223575,32.7452608767513,33.226697250265296,31.971993800754706,28.762756564438924,28.92771114204731,32.769640167311394,30.466431360201213,26.610373731231494,30.9244197371284,34.11183931889562,35.58278609457377,38.1235276704708,37.99500810858388,42.431534199070995,41.385049351117885,37.67769991128469,41.704830944573416,44.042829766859796,41.625165558795025,41.61525021414439,47.20525337585308,47.086102939016875,43.13391102124027,45.67195264985971,50.309963418412096,48.88535918946493,46.08538890109854,41.95742288082393,46.64097357862107,43.37761335040694,41.77917771247884,37.27786877400091,35.32597629397556,30.5755347432933,33.151719382094726,35.24549750854352,39.12571881829607,39.16204002556224,38.20672129457846,34.154702634344076,35.78012590869554,31.635475080231128,28.719520300621024,28.53122945333199,27.45375672512164,24.879443290445007,24.84607073279291,24.203116634184642,20.682497280586375,20.27871530727382,20.2975913571856,17.275219856867132,15.47296238287925,13.917802771571978,14.934502487023273,13.800865014066549],[21.551802182255848,23.435094716211506,26.49559855402042,25.014323529091868,28.783549633453006,22.72177105450406,23.86003140839503,23.246548085745673,20.197442147511058,23.294453242577674,22.396990722527963,22.651134893393884,27.163101776826508,25.481702421823012,27.62779883662573,30.055272062874984,31.947124787640117,35.37263332648932,39.02058226172233,41.67191860321449,45.07975390655698,49.19770914368406,50.27994374833107,50.778833545119085,48.20317973878728,43.91596649077421,42.27780465529594,38.07528452037437,36.629830057386336,34.64462341406366,34.359104607968725,33.80535503705327,34.74412397313304,39.05249435516105,39.10619500344233,39.34424805692065,38.866299839380424,42.09042430030131,43.380939964622854,49.36449170537054,47.86790235934373,47.03248565698986,51.09430890003416,52.2291481853277,54.52523050812475,56.476246052979384,59.17286095937668,57.41113688982163,57.062515468219765,61.43469698277293,61.216886549768496,61.628420525879946,60.87382205885915,56.436388608496124,56.396279103205714,59.8149049132772,57.64514081925105,53.87106875501707,56.81115979202599,59.670112498710594,54.9289303224313,53.93636466742371,50.424677011443436,52.459159770480056,52.13115056165093,48.21912706814205,44.71118396522299,40.64439251783984,38.47363736128621,34.34571111459468,34.47217464470797,35.48468919358415,36.540041645982086,41.11009493422623,39.64779672869939,44.79400249659651,45.63504810448109,46.694515232261566,47.28413551592365,50.084264829617695,48.075691302105795,49.69155175359217,46.965284231286994,48.97351438620821,47.38708077935322,44.35578877779982,45.58855455000889,43.99022751563511,43.63622202016372,43.54439659928861,40.980435010799866,42.16901628628866,38.01572928656926,35.20787047984247,31.53079798415622,29.50118943121962,26.526408771798526,29.16737272823137,27.096776719455374,26.919365731048355,31.957599658777408,32.227784279248205,36.154763662494624,35.80665940881494,41.231268370321224,37.68627347040523,40.2201817209665,41.64821714278192,38.10872266884414,35.736591355162474,32.16286817451705,32.783586969531235,28.492945199100358,31.340048497774934,29.790875729126366,32.14768743826723,34.02150444880074,36.727933842674794,38.71628351455499,34.86694599347194,32.72037453608252,29.704889315401697,30.721498228910068,28.99240355930291,26.66168342371041,31.066614035340677,29.094660563226462,33.48901245166655,35.93433901193079,39.35357654190952,41.18249860530773,44.36973770021683,46.29065123782269,44.961992140985465,43.30503709383522,39.329633322233896,39.611732049053714,38.195544542591556,37.20702878876392,38.35951570772238,40.66566559077103,44.258367479287344,41.38050365212953,39.39273552937574,41.63427026236988,38.12913016801496,35.963055604705346,33.207734033483874,32.54529980633011,28.081313196990486,28.49522402725454,24.234799405653153,26.706507115204595,22.15875574433408,23.57313243273529,26.951125876356254,27.443011272782115,30.192143082227982,31.876509484172697,34.498378639936284,37.32041861206808,38.826837857546096,40.04810922547073,43.52352826229031,46.31602552297663,45.806244364031976,48.04612278565959,50.99857588991859,48.6401447378529,45.145453486625755,44.34714212453997,41.824438772894375,43.596576035412255,42.81464287381762,42.03261059180666,41.22633695628634,38.41345311311336,42.95194904653934,44.749916909536985,45.6988744768981,46.43900705983944,42.342441270272765,47.86936779053115,51.09660017477652,49.005482243815,51.291788806011226,49.82462752542206,54.19922794404351,54.68767281291125,55.56129566309794,56.810608169256255,53.855561472774276,53.224476417745194,50.77273737616131,50.530497337296275,50.75366534355957,46.30334370445225,46.18571518912561,43.398714290903136,40.185254649353084,41.8879450096515,38.41328429023757,36.05712675130128,38.11259970357946,38.2038496020743,33.439303409021676,33.78768509962976,36.13270613427865,34.16290745688235,29.886203113809565,31.895093537146057,32.52074667325577,28.014385345355613,27.773967735028368,31.560343523939494,33.70477136460826,35.85666448003212,40.43894403999632,39.55256321600337,40.70859298911751,45.77112651006157,46.11987074540417,50.358788319599235,50.41422207522234,49.22289387750691,50.91652309482999,48.302902549306964,53.32906824955648,53.07454627989293,48.09337396359806,50.6281012928571,55.08087395746634,52.05417396110016,49.91416070674549,53.414728392092876,54.55318253568252,50.447378092133185,49.71220654098978,45.526414658515606,45.89459880870232,47.75452555486105,45.257525097223805,45.32325530305947,45.621588560581095,42.57233500911613,41.20445754819147,40.977177258166364,38.991161348645925,35.99635794502796,36.02866604352575,34.928773965645455,31.752055783748563,31.42305006091483,35.23347121672655,32.98111240174714,28.812759550096853,32.7885801255238,36.0797877370977,37.48621849004783,40.38323019782631,40.50971378163369,44.87863734352552,43.390419463673815,39.60833099369926,43.915534554589115,45.90155512707433,43.23390114348601,43.40771442884365,49.049977418391016,48.45915152965552,44.40497538428628,47.24678483433181,51.74127835834852,49.91952384739959,47.03825023566371,42.72560370241536,47.10939344447417,43.53717590704371,42.02390791551315,37.495712598566996,36.08524043027765,31.30990357026652,33.35065394102197,35.78687222007195,39.62592220179705,40.06933488417793,39.5550382930588,35.74970422725405,37.85344225567736,33.69272188770363,30.759091074560697,31.307896124940456,30.324009110116357,28.150336746025623,27.411768008507305,26.489558486847137,23.483776214052945,22.913464875407755,22.024771866296824,19.39228863061265,18.426474098518653,17.398097180226213,18.787438021962945,17.995169551383725],[23.13977438772323,25.423587031331046,28.71512259869114,27.960109297472908,31.74161893021099,25.6071527870956,27.003901713587634,25.99806754037175,23.42238853899534,26.840548529478184,25.866775401487743,25.571390387555997,30.45186939198049,29.19064019936959,31.02627953717594,33.281272414370875,35.511941264560534,38.938804649524414,42.8231330140711,45.27690469562403,48.78110760505013,52.81893066630959,54.053352446015815,54.67858740548403,52.01538606406494,47.78800200485394,46.00960755725997,41.781194605801105,40.105616553145246,37.81564199297505,37.476049976051875,36.55729446809542,37.21513983219043,41.642790618300936,41.87913182148453,42.46391696856685,41.76968475236802,45.39522245585434,46.77309874178173,52.6059706674969,51.420279962437235,50.60454000029151,54.555635412249494,55.717373566407105,58.170072552750504,60.16217359810682,62.83965303825459,60.92457015983081,60.558878494060224,64.89337557892378,64.55212857169927,64.81471181931892,64.00937416465635,59.715775840765744,59.41160612698724,62.886697625289926,60.923799486542556,57.029528829924445,59.826152317988765,62.876523029681145,58.2713296325885,57.167525008925494,53.54450421610403,55.80075685102065,55.595256458969736,51.6004194160043,48.290131473025234,44.12027996595347,42.210563203347064,37.98185662115634,38.28791184156082,39.27456575974358,40.08756915420625,44.6840751809321,42.96845534297934,47.89149786828588,48.78552038576206,49.53435783867194,50.189574017560766,53.072715631770016,50.88802586578846,52.62743009356568,49.63606780906886,51.75707527491879,50.440892869304456,47.35731335594089,48.73104344509193,46.79245908287736,46.7359984234106,46.26293316542091,43.922391196678525,45.00824797785211,40.83573558751842,37.862120918271636,34.42093097957335,32.28286419259738,29.611813147607727,31.73526506894923,29.585203177936005,28.678742173497447,34.191994903098866,34.14259591641118,38.476267986753754,37.95623179301901,43.490770600925565,40.02083569090195,42.22430960656871,43.84348432117326,40.33593255082644,37.876716924622286,34.578291331066275,35.606623317248086,31.535827646151173,34.704617302203026,33.39209439287999,35.94810682921888,37.85631195392552,40.74537591337469,42.72632558362917,38.73222129749176,36.73842982096277,33.669945406755744,34.78742044982412,32.88697709492826,30.334888601573095,34.53066584506777,32.02375356225531,36.48023310381837,38.67153722676776,41.99611449866123,43.87058708223491,46.811244803900344,49.030471312401126,47.56226230607594,46.27025162101964,42.46798462472591,42.7643379837988,41.66824881509685,40.93264023874454,42.07370164425412,44.64268518762827,48.226027511260014,45.29452925311622,43.187557648263684,45.27244913922283,41.643045359981464,39.514751339928814,36.51633733024453,35.57734353083148,31.039041279345202,30.936999989851913,26.51906364769111,28.27844525077092,23.207543301968652,25.054815303866345,28.804788801101594,29.856123095199965,32.472621770810846,34.56707224740083,37.12022871039244,40.360467906388564,42.0202698495217,43.5188243485359,46.869896882029686,49.73354218662638,49.41169786899129,51.4169349691212,54.472142788520244,51.996542636445945,48.63436015427394,47.674288887563286,45.24985353460501,46.83065271431091,45.8781633637983,44.985323917595686,43.87728623604272,41.177917609911404,45.41438502924353,47.540615967170254,48.30799147139894,49.373008963967166,45.019971145303046,50.57441813726987,53.89821356301709,52.006439813110866,54.43341958883833,53.1253361679059,57.527688649795856,58.20387741478567,58.88913252647435,60.11207609849897,57.02573728220669,56.318735064558034,53.76633134294525,53.34129212221065,53.4105803555951,49.01344860458959,48.58672158023318,45.66980699857046,42.35249588081138,43.646891683371,40.031616266875446,38.0301629539202,39.96786857587,39.597228111295365,34.961063119915586,35.747974313061626,37.58136923994651,35.09465236395553,31.304933411859373,33.246859201440095,33.35454039075045,28.884365804216557,29.098737839719252,32.49565982741734,34.98737331749328,36.48932953988904,41.741012102441665,40.74969019022656,41.4771102402357,46.54493445827227,46.424666092105944,50.93614003075173,50.86998920135189,49.96303663120498,51.66881411429418,49.271706946785365,54.36506550222357,54.094815243436315,49.46035471940777,52.045241821358246,56.517728164430395,53.65386058726774,51.707952472439175,55.32447642914842,56.47921168118159,52.42918515554822,52.01187993727215,47.55505981496624,47.87008087283252,49.43897338209376,46.59956445414755,46.5137599140287,46.35913988353391,43.56188897127078,42.47262178600442,41.683125299430365,39.5721732732487,37.050310834823534,36.966948269414274,35.32351488400315,32.148751876049026,32.15121367538488,35.49450413130339,32.86470250918737,28.96351107910733,33.01010859027494,35.994997951703766,37.79349092627763,40.70028437240571,41.171182921054154,45.481585522413205,43.87390849993651,40.5622809166136,44.966395549010805,46.850599805947105,44.299667689030045,44.889007692670674,50.329531721047644,49.71242846098039,46.01787633277971,49.02978563620487,53.30071298291753,51.513898943520196,48.87313494875996,44.70052884184367,49.03591423843656,45.61021774226813,43.68264661714513,39.46756304795095,37.934916844750035,33.30989881483036,35.65295289304158,38.1743452075467,42.031163462227894,42.55614589766619,41.73511549388796,38.22985562119597,40.259516495850995,36.38952159568394,33.04817407304458,33.222223340586794,31.769078251657138,29.785296903379862,29.581144644997686,28.116563173991462,24.880486923807894,25.212871340462694,24.112364076729385,20.692929660360292,19.83029766911869,18.974141954919286,20.540850127792766,19.463964863303108],[24.533997166541038,27.221418865063306,31.064526589638685,30.294973503331914,34.647118658558284,28.82651943360202,30.595746666017504,30.01889616321685,27.443477313349458,30.810107205687203,30.003715765274645,30.019019328726877,34.69470537603338,33.13107853994636,35.20739157376816,37.59410040065493,39.585650152111135,43.00573754393232,46.64538038790868,49.317672806283696,52.711536043007385,56.84026856744543,57.90425232920464,58.38849841308152,55.84435887737556,51.54556735116832,49.91298587187621,45.703064519310765,44.25319882688853,42.160456772544705,41.80138692783561,41.095854171434766,41.8014851363157,46.16613883527287,46.40263147566439,46.83954804423476,46.25046650939197,49.65902902348933,50.93907654801294,56.85427654332352,55.431023286877426,54.67318682597596,58.718678821490684,59.82372985327656,62.131417862482955,64.02555066633367,66.74979322032688,65.00099274629966,64.56774963726639,68.93313152706571,68.74737288876437,69.08791966964725,68.3523678641052,63.96855967103038,63.82528508234813,67.29570195082071,65.2169474785694,61.39349225683456,64.26427459772053,67.20824929940734,62.511582658023656,61.43045328576601,57.85169589189594,59.91602728593946,59.70349828742346,55.79382249861867,52.26648264120711,48.19326721416008,46.004926671156845,41.84807039491485,41.921573628765834,42.71552294659441,43.84017585406783,48.473366078317866,47.03986293362379,52.02297750636128,53.05119639469763,53.919349516115034,54.63060753304193,57.51227650664507,55.41703777736879,57.09065106401131,54.17229205469432,56.19400302189452,54.74176799559418,51.75266253618977,53.10039248938141,51.32246401198252,51.11893292342919,50.76294086297821,48.28185802248374,49.2674804283009,45.11532079833332,42.25827469150039,38.80291269227948,36.583321085853456,33.877700495550734,36.29211045914522,34.197772757692555,33.407525657246396,38.863412713529414,38.75887816871273,43.06589768545112,42.40059872258176,47.82951396061731,44.166221466672035,46.26758015007611,47.68101672224779,43.99116621917088,41.781422843389976,38.32822275955466,39.52078816205995,35.441762074500936,38.46812115300372,37.24306795262529,39.55123067850025,41.57692421813886,44.182089310020636,46.287236980597044,42.50225521159553,40.29341364334039,37.28511482232235,38.08249093665395,36.29655463156285,33.82273111385535,37.96501040738774,35.41567843370169,40.050913465648016,42.229717578352385,45.80946303714356,47.318616579449156,50.38489591744023,52.64244483741169,51.45027982375122,49.91882215706872,46.1026584408523,45.992271103557385,44.98299647251432,44.132201226652235,45.54573966060141,47.86541362983962,51.62069731541205,48.87986119950162,46.84303718587726,49.15521574005968,45.66728147214708,43.43036216202505,40.622770722578686,39.73316024134388,35.216628595579984,35.16588519408404,30.905946942150962,32.758649482019145,27.736006523657107,29.739414909227943,33.447762461530644,34.40891886497857,36.937918161219706,39.02566132840614,41.39922020700767,44.43874383802868,46.21185795260313,47.38535029981056,50.91117824746254,53.549669205022546,52.899590263959546,54.9741782699896,57.83449169596042,55.233838949362095,51.873688317544044,51.088953431757425,48.804484073371356,50.68611771355348,49.93393952436434,49.21945848299248,48.25584978088689,45.62243231521994,49.95454490713484,51.93749816917652,52.69330967801612,53.53806449573005,49.16134742507948,54.62127672734527,57.87955967379382,55.9365890709708,58.496262086631525,57.20780032869117,61.57525469287775,62.03281416513886,62.735868036003694,63.8380227146982,60.811463494552335,59.936673576104056,57.3203435532824,56.850240697581675,56.746071874547305,52.23490190977327,51.820939975526905,48.67921339528095,45.61081444442321,46.66931157193374,43.25810475276469,41.22778880408704,42.72288199372207,42.351535117240736,37.81532126161879,38.18624169746872,39.8672692080178,37.56455664096672,33.60681387299387,35.145301434554405,35.13301316842733,30.864574571888934,30.705651083901447,33.68296238061087,36.34863597913616,37.72800383174869,43.04356112956003,42.44834968589523,43.07897064739216,48.25246735321636,47.999221612569364,52.7505607579666,52.98887182606009,52.36476516244945,54.33291335977343,52.228359425975995,57.29964833614965,56.71971569407767,52.20189571687882,55.05438538224109,59.32218312334014,56.29094742638375,54.569810476329145,58.3199569120925,59.1103875599299,54.96787351943474,54.957269427453724,50.395658637809376,51.17249612426777,52.70646505011115,49.75315312929177,49.93166926556904,49.690147036895084,47.17160461275594,45.87699010236735,44.82656538756681,42.98340775377678,40.53686458687949,40.0378725333719,38.33596333603967,35.229356759909045,34.949655158834304,38.03929961052069,35.350586590435356,31.363215052323525,35.07008707493647,37.96951506452468,39.844195311204196,43.02567681039733,43.848967390788786,48.038310067636615,46.012053575846664,42.86806373197226,47.509655715338596,49.03049144162624,46.33786114495213,47.260388012997225,52.614037577462966,51.579542632978175,47.99234891712546,51.31606292104679,55.32963643228374,53.22715814374507,50.65095780257618,46.42574263743703,50.43868451294227,46.85210246670914,44.81911669077359,40.78668383118428,39.677290607657866,35.1755832511352,37.17431368298398,39.98185635542285,43.76331032665268,44.662524960311714,44.074163614190304,40.94277257588498,43.30962699247016,39.586482355163405,36.08943104996809,36.68817067021403,35.142096082955995,33.55811758484262,33.01946422861473,31.15432744118071,28.27638400777551,28.802422482879884,26.988573660581004,23.66368307071491,23.437579465103635,22.9961712482343,24.847660296924325,23.91885116029207],[24.569913235126393,27.37751920144899,31.15878375740307,31.03571981462848,35.17925794326888,29.28772470287387,31.203127527516063,30.27467024426934,28.163049112784364,31.855932480812843,31.09522265333232,30.64979787538637,35.55129820959536,34.46291912245083,36.38664323631825,38.53609462767211,40.759202858386715,44.28838666765043,48.205176053483186,50.602609924236056,54.16039696191489,58.158950231839135,59.43493585535979,60.00885741391276,57.291148663904075,53.07884368241167,51.208814240093396,46.95868726071487,45.326030031965026,42.9413196582383,42.79228027788469,41.62471327030202,42.25150974948139,46.75815264183829,46.98823655947441,47.683767263076305,46.78518878687506,50.52275145553666,51.81924677227839,57.549885834470196,56.44177135246151,55.81774008409093,59.74798162702152,60.79585087064401,63.29611589023361,65.19819011478667,67.93644993580797,66.02532845464852,65.4896353125597,69.82920421961923,69.55128000473378,69.71056533079174,68.96114531062648,64.72109706916888,64.35521507419121,67.92644916785905,66.0783974221668,62.17365423244898,64.94738642802174,68.07421658903407,63.554252740638766,62.494174965536004,58.85561687712474,61.20640366663616,60.97484462906416,56.93998180670476,53.72184975967244,49.53418811508508,47.66543729219435,43.446113983522665,43.754657699227664,44.73594166306804,45.56527372015134,50.16260046989119,48.398060361568575,53.26565619273984,54.12825300510745,54.77644076044697,55.393808199966244,58.24556091423425,55.90692474956637,57.58156257525859,54.391768149975945,56.43780118618301,55.2215442886994,52.25748767086579,53.827338505174076,51.78931467293049,51.96023262839269,51.40842911007001,49.2062479370166,50.29521608576816,46.12357842742322,43.07569183710748,39.70641721124843,37.5812273795518,34.98741894516411,36.84096788966681,34.56250736413468,33.178751686907,38.906901122232256,38.39758189257818,43.010789160127416,42.099525229200395,47.54894345861238,43.941919941951895,45.744248900430904,47.30401327220275,43.676874820474204,41.39963467454814,38.21177394841411,39.74583551715352,35.90030240258538,39.22714344244071,38.291591532333776,40.81734212271037,42.932171802327964,45.76584774390591,47.979011070121,44.03554469876121,41.98764068038324,38.855428104993145,39.724781082994234,37.68430903031941,34.94373960492878,38.84874759105497,35.81331233956423,40.444693718099956,42.37817019374617,45.83117832117604,47.406749921376516,50.222313736062276,52.73387760906431,51.40452076511918,50.23060315959634,46.598739699239246,46.558823742329416,45.863557422713846,45.31451044333364,46.68168653908897,49.36026854754002,53.10402526895431,50.31560022830675,48.099361889072746,50.24294581303233,46.642837667627056,44.41449356987119,41.37025536567184,40.18660687569628,35.63130800562225,35.11918373220164,30.820523017660932,32.132716448387974,26.883604860300593,29.256055053946525,33.12685264058398,34.488254323660186,36.80722976289394,39.26819477649142,41.47198961397053,44.859075161935216,46.83241613493832,48.24219677758427,51.647375870281856,54.321821938165556,53.890615944227385,55.69064633379278,58.67627032108707,55.97410238891216,52.763665636689836,51.783238445776185,49.596021316570024,51.26268810877229,50.35246774184825,49.56686606959889,48.350440860090885,45.893405710341604,49.95224340673254,52.172097174906156,52.72870676360298,53.82914214470243,49.2126238526097,54.664325752389416,58.000743113751156,56.25846644289806,58.97504323775204,57.88604913561006,62.278316620359035,62.92576268261541,63.39549064666707,64.46192109893944,61.29394540056131,60.34828669810048,57.64222845729217,57.003730533775204,56.783063763182646,52.357531448110876,51.66547681392967,48.47300733461774,45.28737263494004,46.04224891571257,42.50945453714853,40.78889586061682,42.26510724155978,41.5214526671302,37.114863611458816,37.94327566284099,39.22267447119445,36.48703470174154,33.0149447858387,34.5937049172958,34.194560002162255,29.969151661585784,30.29964772375174,33.04577474615832,35.903813897643296,36.76480289828247,42.562091647242944,41.74605893415307,42.04779173603912,47.15037661018337,46.55662850513448,51.42562944091895,51.48584955411634,51.016788104255845,52.92639359874438,50.94714145970239,56.04393053078408,55.515686736494374,51.276220662631474,54.09731159119165,58.39728968359952,55.55543802315428,53.95417397570618,57.7541776625553,58.637570386672245,54.58865253007405,54.756849469247456,50.00793795521062,50.64453032930699,51.93664277903059,48.74621171932351,48.77338548282587,48.20821456773522,45.870668371833375,44.808365982742274,43.37889671322627,41.43986267598199,39.35322776084074,38.82111213183647,36.74905564341213,33.681111902837884,33.68660247141352,36.43060191661295,33.51581945301551,29.80685688109972,33.576326208576766,36.22510246065204,38.35622018512284,41.44775507586765,42.45060761141025,46.58388003122485,44.57739676142006,41.78833368392307,46.40934764024236,47.92730157407459,45.38895353048991,46.55304834260694,51.72745958369067,50.79855684386479,47.50589029867247,50.8578306534183,54.73534024780549,52.777031681129536,50.40301700066864,46.34909439865474,50.410292877265896,47.04477334153987,44.698055810784915,40.90965308041684,39.54468768382375,35.18193827240784,37.55225765760828,40.30023417515931,44.093338898285786,44.925642647259366,43.99386009105065,41.04381446375379,43.246823732940896,39.77568476022404,35.99411652662812,36.20810854661138,34.329018612042134,32.87947513720799,32.793800613390296,30.59751598324881,27.550515151781095,28.72888999987595,26.91017399565354,23.05623718424069,22.83509095852227,22.524379217498158,24.481033603284676,23.50018795714958],[22.250503807458962,25.213906250137214,29.064473555240305,29.544963435355122,33.6752666106563,27.96255935616706,30.24859943429193,29.330728351642037,27.776653800350054,31.816502320501122,31.412169884120885,30.79442409709457,35.59853456775934,34.8727076737991,37.01872276439124,38.92792789989813,41.05367356779411,44.82763587560527,48.868961643464935,51.04893881216647,54.763552929499646,58.627892939754126,60.04646306907085,60.53288846032001,57.63419066702814,53.50328099847902,51.384304415039495,47.10402947840194,45.542233481339615,43.035402761316455,43.45572062880991,41.846266859235485,42.72078228745802,47.36288602383418,47.31818329174148,48.0279640980389,46.76682988018729,50.555417818965054,51.68152837001883,57.24176643691277,56.26097866778027,55.98031207416184,59.868674938343645,60.71045752476181,63.29207657029987,65.06148950931352,67.90142023255821,65.96449226052606,65.17029338738178,69.48916109751367,69.31536024859938,69.3400933003722,68.71030584131,64.54005617453068,64.13971860553893,67.86756839547596,66.16606948619324,62.27775617680582,65.09682848639781,68.30779576992227,63.93696727605145,63.11284355402888,59.52799936009433,62.08384425236763,61.63103484454711,57.48684130807878,54.55451662400194,50.32787577246472,48.638595564681474,44.481612275336246,44.90598239097105,46.18628047776559,46.9078961947743,51.40044395565473,49.44757045493541,54.40416429522575,54.90230771653156,55.56891341509513,55.91234863913502,58.57028160506852,55.95878568032669,57.40214012767832,53.99026199679682,55.84674265046953,54.69736164647864,51.95302678025578,53.84348803551126,51.795233609116096,52.33309176682876,51.95351202120996,49.98412406772276,51.39134572677042,47.20434415061132,44.02059772803452,40.51151881860842,38.68078318091373,35.922032765456066,37.36100922018018,34.775314498946436,33.02238156903493,38.76098323582829,37.655863372760834,42.450081233032904,41.0470628484605,46.334214790179246,42.550873013577764,44.02420522688175,45.49618487392222,41.797308300561035,39.68109730207656,36.60151976134035,38.568039984947994,34.99248835302229,38.50250798866906,38.050340570837896,40.611375659435055,42.99031626623926,45.87131683232976,48.44491170001549,44.52289376545966,42.49106443265153,39.206405838278656,39.82650865216539,37.50378276733025,34.48214727021533,38.00637156910356,34.44429653666702,39.151224351690615,40.825835361083385,44.33466560329578,45.69271972922436,48.365023962334014,51.106296552517406,49.8790168056332,48.849057390940395,45.41603699645764,45.169837601961206,44.87867513259851,44.62120377742433,46.1309369935169,49.09840054921054,52.962003874450126,50.307611793528196,47.8881056946547,50.025535516810066,46.45908716520398,44.11178092726657,40.992168127838205,39.50324764778269,34.96723109007356,34.05082722470148,29.970459269485602,31.022305208942715,25.891293777979445,28.759908250204518,32.535622425327844,34.04941156870196,35.971806296460706,38.7935217025035,40.52229154948046,44.01453961117908,46.365284534214396,47.68237192914216,51.112140579870385,53.572846665367614,53.12317601272476,54.64024094102046,57.6143892376649,54.72615923758106,51.69898130215834,50.62108195010167,48.66064797593568,50.33055225407657,49.450618576762714,48.803836573432264,47.520887903651456,45.38783498481423,49.30123515070334,51.509403276711744,51.828128479131855,52.896977814378985,48.03243770575002,53.35262837195289,56.68286619233766,55.09803680188706,58.11700037802904,57.30390296023558,61.66283270576049,62.30314649173468,62.49894239540781,63.406596733794935,60.15865280480915,59.00018365090775,56.16916119700971,55.34277252734391,54.90878982746559,50.51375157994535,49.59791837179308,46.262096824372435,43.1368340768877,43.55175947675187,40.07028071193134,38.55066849510558,39.78868302124154,38.80668644620619,34.557074474499316,35.53087879049515,36.46103841591833,33.55111917243943,30.346250057052767,31.81362607934194,31.137338791218877,27.032230769965473,27.592563710545857,30.067335945117875,33.0640296803996,33.565080629598086,39.64742800920459,38.76745621858593,38.85150605196398,43.919391725011536,43.149669794545574,48.09959987818238,48.16862853988816,47.856539441675544,49.83624907988179,48.04858979100336,53.12811406970975,52.488973715450975,48.45317346673129,51.3699825548493,55.58131003667062,52.78678089683328,51.36094091194789,55.242163712239034,56.0285990118021,52.02032914714911,52.49133392934812,47.57622338134238,48.34668555811851,49.459957308686946,46.08848268522861,46.1998136356901,45.46078946662863,43.389232863643336,42.28801462928041,40.55241144859172,38.766296889681115,36.87016937324684,36.07255423952637,33.84533915368658,30.8541746233314,30.820997957155033,33.292144042884736,30.30863815616837,26.681399320631098,30.32098332758098,32.83760101183606,35.071423714515475,38.2056465471186,39.41180582465265,43.45320541636369,41.31401850746087,38.758605098719016,43.43334328205463,44.81879155029713,42.331282155767056,43.73848067074345,48.75446367882917,47.77291041110558,44.71055904189059,48.16052596590382,51.85443260130083,49.92132490783661,47.71520362542206,43.796701933498824,47.80911002810055,44.609961573518795,42.00759322615947,38.46456979042264,36.99461528617241,32.81331691709655,35.396347471104434,38.1368515349758,41.89398201400407,42.76768561086115,41.629994704167565,38.99529767287276,41.202168451221496,38.05453335389291,33.97909531309722,34.139864029300846,32.00767564899683,30.93767648437099,30.935212227099274,28.29615480070372,25.389216628157182,27.153343519514436,24.953562175438428,20.828239491365803,21.00514912588824,21.13129471037104,23.42536715811718,22.714695127927627],[19.24153211027208,22.081303050321985,25.993441869295275,25.990279681709794,30.32493008428095,24.673675211362255,26.995741110045884,26.48549507604066,24.700260493520577,28.64015952190728,28.441945257708593,28.247405114004277,32.73407802122116,31.724537198321585,34.2259691783164,36.23857031814364,38.026021613258806,41.872044677276584,45.70934998427818,48.03983798591538,51.69510336327264,55.61237926166083,56.9039924653297,57.24048304809026,54.3897089625684,50.2129025026792,48.17324429314709,43.903218568510326,42.59185373311977,40.33588845173386,40.94302285289077,39.556179318014465,40.73425081646074,45.319415871714064,45.05968173327794,45.45712896038665,44.306171138067114,47.738317255670154,48.731560180867945,54.412325057664795,53.13970758762643,52.93939772501342,56.93359096243208,57.70258954165546,60.159677171068054,61.86040431840449,64.75759177729086,62.967232532127944,62.12308807757934,66.48242895428355,66.4614418937428,66.60339344268529,66.0403084143861,61.72732396174576,61.58231508434525,65.30632648521765,63.43025213564946,59.6478112134746,62.62638979365245,65.68049235749005,61.195641173598176,60.522317692753205,57.04669528394315,59.42913259116445,58.81906454088431,54.72908481586581,51.65655140783301,47.519290763759294,45.608112065052794,41.5637776292018,41.83470594265573,43.173644244813715,44.11516926848788,48.569689407418245,46.82715426670767,52.00562747658063,52.40121393545547,53.35806931575049,53.596869014685446,56.14763844389954,53.63777901062531,54.91319650857262,51.686407166011065,53.38833992765163,51.98688624038833,49.345772322821865,51.18936088290226,49.456267138176756,49.798470537854485,49.80265530526475,47.665300847237106,49.217252325055085,45.03473233542945,41.96385596860664,38.21518457698011,36.51947785148208,33.46799308118011,35.26710779815086,32.65808579001317,31.415514349263777,36.81863616727645,35.83487325026681,40.355986611068516,38.95415486552856,44.13367170729322,40.17364480895705,41.875597427403754,43.126144088774566,39.30334550185643,37.3271072454807,33.94197304754915,35.713888394524105,31.977887202283465,35.272370533819725,34.781313280189764,37.15147109741019,39.60963731458333,42.30000730609349,45.01343757633956,41.25210807040948,39.058614785447546,35.77872291577901,36.177758812135274,33.92065764017788,30.984492674292515,34.58335082951577,31.275265241891365,36.05411057330973,37.90836004936126,41.60579435728085,42.81309186857071,45.73163307738611,48.276815456340394,47.24446623843139,45.859908296655824,42.29359024737046,41.89879899061952,41.44438816078361,41.02299134411787,42.646291478279636,45.427676170753365,49.375339568510114,46.8325887966315,44.46673799687457,46.78534262996723,43.34956537472402,40.90867372864844,37.995316654354276,36.657010450565615,32.149212707367404,31.56246774145729,27.633230010283,29.28584524319247,24.5175143375699,27.224926184490684,30.729852777852713,31.81218534822523,33.75732027598001,36.345884646384036,37.99611294903389,41.13789994502314,43.48856681846499,44.486372994294086,48.078311974583194,50.39131578900605,49.70617410544717,51.381994431939205,54.23740421912926,51.37405995519943,48.25665439510064,47.326207912428615,45.35132281737768,47.25853045932767,46.5709986016597,46.08559956047565,45.07370924912548,42.91548468538447,47.104726057437595,49.005168267175996,49.431125064029985,50.16536364847219,45.43869355907132,50.722086804561584,53.96846067125368,52.219516377372436,55.21863974003307,54.3271682533185,58.66336558036441,59.09061798981571,59.40129018119745,60.27575226462363,57.13054341560197,55.957529236148666,53.16451031413199,52.4504993122141,52.077163772389014,47.581015564198985,46.90341499445958,43.58212771614691,40.57970838095311,41.27966592852613,37.934363016062335,36.08020906361267,37.31615277253221,36.72918568891439,32.314826106230065,32.825903440916065,34.185446959259096,31.745984451891836,27.96573217820396,29.446861107783135,29.22669769567613,25.000331623736237,25.075170998281568,27.923950447513448,30.696849330420797,31.82152882204532,37.38210751791134,36.651560538656135,37.135804789259254,42.291124414351124,41.97394563228369,46.74167041946281,46.98643378124914,46.443356853746835,48.488992157871344,46.53980789429307,51.59663569503773,50.89579189022599,46.519418463272274,49.482210423833095,53.662432822827114,50.656972834310764,49.096447706811915,52.94017603027174,53.63489281477548,49.52573800495125,49.82416159774587,45.068081288311475,46.0129897635624,47.37845253910131,44.25569978223935,44.5820701163637,44.2483346406136,41.99059348904879,40.550731989935855,39.25918948512415,37.64809373232964,35.28209955200775,34.46147844776804,32.72048292883547,29.678775042553895,29.23309367847567,32.18136307232405,29.523709741627023,25.480030230166452,29.077699374603913,31.969572237283188,33.842643811290465,37.078869429844794,38.030255870608116,42.15950577209301,40.02433101125663,36.99412385670619,41.69487689815625,43.119246803111785,40.45822266711576,41.56241046531446,46.80482551970973,45.75851752696666,42.34910285243385,45.74770208317721,49.628041753701815,47.5887631573673,45.15938256530839,41.06611171721086,45.11860078556443,41.73671832909979,39.430242639742715,35.591765085197395,34.26770929116397,29.901884729607865,32.237347512437545,35.0041897228662,38.78792991413444,39.67808661740959,38.81594076718569,35.99726746592695,38.37530097641272,35.01976892466022,31.14134902828463,31.734927568398888,29.933107076838834,28.818080626232113,28.26089375086773,25.868271767405147,23.188289057821056,24.361777790763128,22.004425144029355,18.373214369070833,18.70321104143092,18.886611675852645,21.30999656738175,20.928897482136286],[18.42220485902948,20.729584862588002,24.017257019857407,23.842214596817147,27.611283113666797,21.584226331569504,23.4805379403177,22.58616164864362,20.701880640285268,24.667045990251577,24.316782386710248,23.909232162571424,28.54642264927783,27.74484508018146,30.05630985137087,31.980711098415973,33.94611430403765,37.777156242327145,41.78832341373934,43.96640497812743,47.68915592047999,51.54811366044061,52.95314175320385,53.4083268203509,50.48956259774418,46.362115236372546,44.23802923141873,39.95722363519268,38.4624963116647,36.07501535224769,36.667748958823104,35.16905288254022,36.33047632189928,40.93936995969389,40.675100187920094,41.15577523871724,39.97055132409231,43.54484198773372,44.635020080256126,50.28659063925843,49.17523616531827,48.87711221148838,52.8086510008539,53.65828771747997,56.19534757297778,57.99064578043839,60.8212208122998,58.91346477162951,58.18051022298036,62.50092352140078,62.350784125303434,62.47182670258613,61.84916045995371,57.585858556712566,57.329042824429855,61.037298041874145,59.211593803764025,55.36935137045739,58.301413588167755,61.42348876602477,56.97761801813873,56.26824227924769,52.76457456602833,55.25872411398684,54.66989205957092,50.532283621366844,47.59987450524779,43.399935390816694,41.68976872811523,37.600308895116015,38.04112748447959,39.51805268393905,40.226713893664275,44.63503519675356,42.70740208050293,47.842510396854784,48.14839114926063,49.03929569719143,49.247155805965846,51.80715642487381,49.26831183867751,50.61748072047811,47.378811582485035,49.18068721583184,47.86070863395044,45.10884630651373,46.925109853264345,45.09150704875381,45.490089075138364,45.42541398268885,43.36394843633877,44.98887634073364,40.801966507326995,37.671705081672265,33.919227342580406,32.30412217514886,29.258781585042303,30.877098131185843,28.236861716678977,27.00562609572853,32.40146912568699,31.547804175394248,36.0387270338812,34.83482065669962,40.14012037268091,36.35649931838517,38.25396839419203,39.69354837275635,36.035947394011785,33.793911944875035,30.486394939461448,32.005099709171006,28.199436539409717,31.590619227729814,30.942296144671136,33.52038051798558,35.841410813247805,38.76768609410205,41.322239328969154,37.39250312275278,35.37739984166623,32.068061198501454,32.77148843353361,30.45498144794793,27.489290371921097,31.217528869490724,28.062467053963896,32.67497585836661,34.617554851943375,38.08801730081032,39.68114904193872,42.541654097048884,44.98401738653176,43.686669735725374,42.45888576789455,38.84576907371747,38.869187929957825,38.230817102291255,37.84584012239302,39.19668247722329,42.1432750430873,45.91737856776788,43.186958074650526,40.79572127423825,42.92578476937226,39.368198373416924,37.03242990630055,33.971916863459654,32.64594157880244,28.101682118196454,27.561251542564946,23.451257695125772,25.152750908090766,20.37161619852243,22.87889538735739,26.389437977727038,27.471643205741117,29.551475809413216,32.0765179286315,33.95158791240438,37.23224906422868,39.423028225023025,40.701973956139916,44.15052033496029,46.6946526678165,46.29588430140822,47.980448373134735,51.01323429294458,48.30771004183047,45.138434754283715,44.074619105001666,41.9171768620817,43.567534802407096,42.70784461527501,42.051431441304764,40.94899285126049,38.67354238663734,42.84337594294304,44.83779825342248,45.32690751008424,46.23014887889392,41.57636776182124,46.980148073083384,50.28419876772799,48.53077725501453,51.35237662047832,50.38150176280666,54.74621728570419,55.35662760674426,55.71920844948773,56.73583777867059,53.5596197502115,52.58614474006012,49.882533844246844,49.262958544938485,49.1091426327738,44.70052130910446,44.08545265618926,41.014908438763435,37.7586174286999,38.80506980818722,35.25131131697113,33.337522815527855,35.08021075312895,34.59300224989374,30.012448356775685,30.871629012353015,32.520960034264576,29.983354522023237,26.25253138899977,28.191730978729833,28.218406640797657,23.744846159341222,24.11748073482564,27.509710404770605,30.02008536008407,31.425621638181664,36.76545714657149,35.662340056465084,36.34214668962474,41.394380147067835,41.307010417951275,45.785601883029706,45.74328024981341,44.85365924256348,46.62826201156246,44.323066448447626,49.40864584006639,49.032011229014664,44.4483308538695,47.1323985231865,51.53694803370644,48.65774998220764,46.81664613439706,50.51174891258503,51.575841971671906,47.53400279148646,47.341477971848725,42.74026112840811,43.21964985704636,44.69015646374268,41.74519827358738,41.8182001469527,41.65723025084029,39.0401309539637,37.76451825898431,36.85292722892034,34.95773406370962,32.40534378611836,32.058810817763394,30.469162272821364,27.322650912873904,27.129156405084167,30.469735614441063,27.926496861957574,23.903285902586802,27.890018329396643,30.94047090186679,32.666350854042754,35.61794052772899,36.130818405812214,40.417985820154364,38.73953197475339,35.42945844610696,39.87843262485874,41.706724983201966,39.16001203834733,39.832123040559594,45.22484231957519,44.603067729421085,40.99539274405112,44.048271974153714,48.247981205111216,46.507582276808165,43.951807450774105,39.86645376211245,44.250527865350506,40.97761468539366,38.883898942370436,34.78013724007452,33.06673105217494,28.519463614342325,31.126677846301092,33.59489186719391,37.45865661587481,37.96004160763202,36.940903656358586,33.64685889235476,35.70487386380012,32.10045864638481,28.452999663026926,28.673806460425812,27.050960757809673,25.435764465697297,25.1338171909657,23.26762384135061,20.179088838465827,20.97825208736725,19.423461961560893,15.766046775413795,15.320179062560806,15.014429184082488,17.187655600875974,16.701786121798506],[16.75941164288108,18.885260348867423,22.321280894949382,21.27820010325054,25.47433998816376,19.677342001007315,21.595384521667196,21.452875276586468,19.082568013826872,22.723331512330457,22.62575555946624,22.984797981499465,27.07709589944937,25.684423084321388,28.50478251316441,30.65787053814828,32.103932422841055,35.956784255080706,39.586612565566135,42.07461072127344,45.64675152053302,49.62652389297405,50.788760628409875,51.0221728353873,48.244113220151505,44.019805402308805,42.101517306496824,37.85456140891677,36.74930049244389,34.795052206239085,35.48512323577743,34.459781307716,35.95592928537431,40.40549321632312,39.934227113830595,39.96474740717551,39.04405672115079,42.0636976197385,42.987968263270595,48.83735060698398,47.26281001871501,47.00694285121432,51.10666439275218,51.87464689256736,54.16964880701353,55.854661527143634,58.7425499228449,57.09382793521629,56.31809710270246,60.70230697559654,60.775892605943426,61.08892733455922,60.563770645990225,56.10026211147394,56.21945700205064,59.870640163821605,57.76997433854356,54.10411853019946,57.22992374162228,60.087835042887036,55.4632204926927,54.90295086937737,51.548013453241104,53.71763926838627,52.9775806900441,48.968371919605396,45.73487014316642,41.6991146539219,39.5801905761877,35.65177206340979,35.78861952277609,37.22501237582857,38.34009707132429,42.72012131963395,41.19530274519563,46.593893493388315,46.88928363720665,48.170320652699964,48.32228229529894,50.77886601312327,48.46311546506205,49.627818882007425,46.70583239397791,48.31862762746745,46.63041582046455,44.00501509850687,45.67565759852115,44.298458473347544,44.321769656393954,44.73521861956478,42.38162053019288,44.07723799806552,39.927785633518084,37.02738759838478,33.022581093613546,31.500597067247877,28.121471370453765,30.400034775459286,27.863197965355347,27.453511318300386,32.30244164852318,31.742911725934793,35.77637683609304,34.65722697977093,39.76927149159198,35.77893622943862,37.9762011003553,39.07638801410324,35.26335345195457,33.27651364466485,29.55098197935798,30.73522434350314,26.681884170401883,29.64890639700996,28.847823760034508,31.063678264072998,33.462379896289306,36.030209823259774,38.72242204425191,35.071420128922135,32.76534980747472,29.521485219805587,29.876116992409237,27.760424774551716,25.02916034850058,28.93716234456344,26.295355216657313,30.98881972525147,33.207348590580885,36.95722232270733,38.26991625022145,41.4889884898391,43.6315603941231,42.657287184448826,40.88115257806557,37.06531497809237,36.80999734659338,35.891835172023285,35.18109398937152,36.73329723176626,39.28592481454928,43.19797487404032,40.646836169049664,38.397315759930976,40.83649953688157,37.49774383160995,35.03905258785544,32.35081429318756,31.33131896504907,26.87985718120285,26.923824372012504,23.106912812392128,25.653408244117376,21.49165096766613,23.60761122101671,26.681836632201577,27.106363696160674,29.254805655730443,31.34241675994489,33.15397994979435,35.85551458675749,37.97701621977346,38.74941344308573,42.445813991909034,44.766959414589365,43.964413446849576,45.93169463505858,48.74425769206869,46.07500215901388,42.7609883418916,41.9701814968136,39.79702461750308,41.8452552900296,41.294492123586295,40.875094261603,40.185940844489224,37.84480119988821,42.38812993858406,43.940855138377735,44.60951790503643,45.02596059309911,40.62520257057917,45.94122602031759,49.10340723806557,47.10466446610039,49.868608870196184,48.75303761494968,53.068843650246706,53.353202951219046,53.911235479039014,54.87950267905804,51.871702492322264,50.871171100262494,48.229459888226174,47.77782738054046,47.68705345743499,43.14051251277526,42.87513775522879,39.80637090926146,36.810223671930906,38.18513892537918,34.90966548512287,32.56018304617785,34.17309088967112,34.22738150251258,29.53884579439232,29.62020868985293,31.797508182479522,29.982944101030657,25.53262370781596,27.31894074684983,27.910776725224995,23.486535174443176,23.053089427148162,26.71684187829602,28.926484365528072,31.066690946909613,35.66667211467776,34.90939936369036,36.05035580661991,41.17380573976763,41.56251340160723,45.85935548286998,46.13127108390384,45.067898505229294,46.97669141961484,44.58556459987975,49.584655830931354,49.05171032823403,44.128987255402606,46.91258933176918,51.181838998938126,48.017776002601934,46.08068878092726,49.72679086721233,50.56634722935101,46.39924563891689,46.08155386131817,41.71324330128346,42.52793529079709,44.31230876125701,41.6890963621731,42.09028060605078,42.397769156253254,39.65328528769996,37.93795480532562,37.52479334132408,35.930396692160954,32.87667934904358,32.416737084772606,31.434585988399512,28.331097885324017,27.570066353466544,31.32129670521249,29.19726120409422,24.806010155093503,28.50383124704281,31.876925418789956,33.17640302728906,36.27661263931632,36.58644373583455,40.875474099796946,39.09826458082387,35.3209494825706,39.80368653786545,41.54654267148706,38.77487172931224,39.153368528904046,44.74663647055478,43.918444712678685,39.9373108948563,42.98485902737092,47.3117988071258,45.34774515565281,42.536573891885695,38.23576431709571,42.51982087324278,38.96845919919247,37.286777293733145,32.88128606959754,31.542396970199952,26.841701468335277,28.91725702149557,31.483210445704362,35.31888754820843,35.94939087819683,35.413701452213814,31.9799212027122,34.34588821375488,30.48722816701931,27.181258786047138,28.121803025301237,26.989674439521508,25.409145085226992,24.249584641670243,22.752638736724354,20.178690212068286,20.02444874255308,18.183848840190823,15.560605213133034,15.454502532555416,15.237613207515102,17.400591527088732,17.351218799415047],[16.43871105191799,17.794368854504718,20.503457425152593,18.81421851666133,22.53057379295832,16.55456542645063,17.946497627181287,17.863524481200173,15.068821677068755,18.51168449881625,18.43466384938766,19.067401696757184,22.933001353321178,21.419948532367222,24.37152248089742,26.547008469617122,27.857595492293086,31.72414271183282,35.32748647493967,37.817462143045056,41.38580439703887,45.364878790547344,46.52165612174472,46.750701719481874,43.9667075846987,39.743534582052135,37.83446153330189,33.59087514643537,32.5203172270017,30.67783418132439,31.448975973051546,30.560290290894375,32.24725193578857,36.617175706602495,36.00578400423672,35.86470637461448,35.03981823898503,37.88765885804728,38.80869834963785,44.724109774591454,43.069610191853116,42.75555001020297,46.87866302152754,47.668142675358794,49.933660716328504,51.652733103319115,54.51984947885466,52.87665392233979,52.16577449196329,56.56027401981379,56.62210842982352,56.99972947083248,56.46854613788995,51.957246380416215,52.161729736341314,55.7669426599588,53.588357650863564,49.9655005124997,53.1396393045908,55.92246346501202,51.25968525192644,50.75821061199566,47.46107326970234,49.582065086565635,48.76598508882655,44.77180035996655,41.535991919402406,37.52573938121415,35.398850488622145,31.523474969652383,31.675106975488028,33.26163766435916,34.3508854708287,38.65643795038775,37.14796800428175,42.643841616744524,42.81897597396986,44.2456889206326,44.318195786590735,46.71202219689459,44.47788568353502,45.59852638781045,42.83327183404741,44.429655947744635,42.625737109289666,39.9748762103817,41.55291760987683,40.32956342467469,40.222301033276445,40.84349413121512,38.42470729859613,40.249930579896294,36.13156195190366,33.30490837555297,29.157037380555348,27.811355210885782,24.23942262297459,26.6875590367221,24.18266112157401,24.287657288854085,28.73052610093012,28.453925315338797,32.16052884266086,31.277488492086523,36.36465883453212,32.455029377880116,34.98528718322167,36.07781838413404,32.37623691924618,30.286159923575696,26.44879024663754,27.168311322830473,22.923122845257602,25.729214022373853,24.67949271202742,26.910935260670318,29.220518416050453,31.8461931729275,34.46907638721625,30.794574054196346,28.510787237474926,25.25582019561416,25.730314573098582,23.651164159630376,21.021410482090538,25.16378703806734,23.009098031942898,27.52504230503944,29.969802236833367,33.616759175738714,35.15266838952559,38.47936370395152,40.35746728544464,39.299680331682815,37.39872065548119,33.44503105610004,33.46715945960358,32.21989429341806,31.380864166050024,32.75472620456901,35.278245572478,39.08775361438579,36.44687916430862,34.238041088724785,36.652461344009936,33.310512379473224,30.886993251373724,28.259762309659028,27.427285600166503,23.016930669613803,23.46663649043589,19.707817202346146,22.791950611556835,19.13902205317008,20.7502300154103,23.47729362227592,23.482824614714037,25.77486596480237,27.527341847732785,29.505790770851842,32.00503831598812,33.9305943281026,34.702521490766806,38.386103063870294,40.809362340816485,40.08281383664228,42.19425200379809,45.06400357912089,42.57061784379182,39.1437391747435,38.36057763814737,36.005313408846376,38.00236233211324,37.448326049537876,36.9936523803528,36.4441394950654,33.97039841241629,38.68042327349041,40.07504136976881,40.894639295421726,41.2107145260978,37.02745858633252,42.39045382050754,45.52500991610294,43.40382834163104,45.96755292192256,44.71072319136582,49.03563817111492,49.32470984768235,50.01946288714017,51.09449714933241,48.14368286022955,47.316874251472136,44.796554002221164,44.52051589847442,44.67089286223245,40.16426191889748,40.13393113147786,37.33255832802709,34.25180796171442,36.11088267312236,32.82072445691975,30.22091524081139,32.23658392649353,32.654864130680764,27.84230858559806,27.86415178990429,30.53699026959878,29.02070136653153,24.38427037554956,26.478815167899764,27.544144424348378,23.06665812125574,22.545314246450985,26.702598054846593,28.47774143344597,31.13976634488693,35.13111109381742,34.20180819315181,35.704483896907284,40.693448744587215,41.48273889087633,45.40020323622687,45.55582926480668,44.119709995660536,45.831673235218744,43.106999496595535,48.04462079500176,47.73251548496606,42.51079104861519,45.0615466169311,49.43633982328042,46.27980653166576,44.054894077311744,47.511469963372605,48.581412509381714,44.449857428525064,43.61364460261286,39.54033941284064,40.0717518416368,42.0970503590437,39.82138557716716,40.14820175763218,40.84144634482479,37.73922007649596,35.97350117454928,36.162860250596275,34.48699024873504,31.059101812025656,30.989709778262895,30.468264459306393,27.37060800076637,26.574534362671592,30.779902822845624,29.005281167425956,24.59845189726017,28.381676708293853,31.95175967623075,32.9060164518472,35.76669025656472,35.58934438121773,39.957004844866404,38.5617092333443,34.380107811453854,38.58333943527627,40.627982669343965,37.89315837394685,37.73572581239068,43.49577751936664,42.966194950714105,38.68124630189625,41.37127718824405,46.007916269149554,44.23552743732602,41.2236808287447,36.882869246946946,41.38032393849672,37.848866125855764,36.570696697097844,31.857639917058922,30.34542059641507,25.50176435817623,27.539969463159103,29.805956315533148,33.646064710952224,33.948148492531026,33.50155904944719,29.574674141842788,31.74985050259915,27.5481979779879,24.720951560442636,25.66238268483352,25.006213600938853,22.984797769163894,21.613803905771928,20.92671484109139,18.33770015261934,17.18131388740716,16.14312338935873,14.307523864077071,13.594283419539456,12.909557371303203,14.643998757903468,14.817468961657788],[20.168158107590756,21.225668987105553,23.64554797767599,21.07898897665201,24.575017653584272,18.77409368713783,19.36693891251036,19.39231968417,15.678484529127253,18.147189349502572,17.472847825379983,18.653660565358397,22.38927659497844,20.107874692812565,22.808876529410536,25.414800945099387,26.712261677654883,30.16870478152184,33.474295569482884,36.34913800125822,39.6429222219829,43.829346180728535,44.73020846967293,45.03325993227409,42.54171978581266,38.19770225387116,36.71113931167805,32.55654985430249,31.479005345153837,29.960685297368656,29.906211328379186,29.823570082039865,31.251736312939666,35.34336392753148,35.04293259011749,34.74661480743923,34.5281184894442,37.12479183962266,38.24945410251661,44.396896359934125,42.482033892615,41.675744169732425,45.873453805965774,46.93100331356467,49.01697483209062,50.891546888532865,53.62200912131034,52.06790612107639,51.70976046540896,56.12276799576295,56.08462836927949,56.68251070685239,56.01930140554132,51.40354998094985,51.73554304566164,55.085061192369615,52.65592386609674,49.07524214875968,52.21709150584681,54.80472143029903,49.919706414361116,49.15001868978934,45.8325511693563,47.59136456380774,47.02524415707025,43.22017936107905,39.51818984215286,35.61418681375611,33.12165006655492,29.195945977746778,29.09226518029499,30.265027190804382,31.626985765025555,36.08173573854943,34.94387577851243,40.411749937725894,41.05497507216046,42.577347098160224,42.98942306871459,45.59946248149344,43.80758195300612,45.186761859049795,42.836902789160305,44.636882338856104,42.674554876655456,39.7699903128117,40.83878312460756,39.761357060325466,39.03996226002996,39.570834242658975,36.756739625172784,38.188402988344635,34.11010679706521,31.558333856814947,27.528708233864904,25.818398394677907,22.359344217447145,25.654660378425504,23.692853493790246,24.61655374122677,28.752755028508204,29.421686521822203,32.66131289305298,32.53081045520001,37.69251331613325,34.0884531269365,37.06819311051062,38.20882450849356,34.69642455889567,32.47550413266015,28.57929486292463,28.550072888168348,24.008205776055146,26.314371135665382,24.43686477014078,26.48455002253287,28.320175744395875,30.77733695822155,32.827769836502114,29.19749348222579,26.838507113200514,23.878601610176137,24.72360793103654,23.224835977819147,21.247250194670773,25.924259407911833,24.835256340902262,29.01887343994036,31.809973453121653,35.291758310211996,37.07054254350455,40.56289369959811,42.02878753003205,40.88963647988613,38.74258076034662,34.55482169376658,34.86702676537718,32.98017191200155,31.64882020464761,32.77973794125144,34.74889709246169,38.33957979739423,35.54137534445151,33.70123077973952,36.14780789963933,32.84283276154056,30.623881218892073,28.252254972057326,28.000332156030858,23.740941020817562,24.94378782705244,21.100132865828336,24.576839364815186,21.0790147066638,21.798530210932704,24.423460381059577,24.024286640107157,26.85872232001204,27.897897938666198,30.53483430293747,32.692304086630664,33.97963341122025,34.78273372005495,38.412891692677384,41.08443463716687,40.33856102290586,42.88292292033304,45.70051553310434,43.531886169158895,39.870548255354464,39.28292890819163,36.62257184439529,38.63303968747247,38.09579959730276,37.48740055889898,37.131047479702374,34.21491071736686,39.13894651615644,40.427702024811545,41.61385459864946,41.87457133844962,38.17882392998759,43.61288438069574,46.681395029872675,44.327802946623315,46.408189152758005,44.74200684173029,49.06149118010573,49.29944718456616,50.41102384357737,51.693829362514364,48.925471193876135,48.41151970645478,46.12041847631045,46.14305707378122,46.60469689304831,42.136006407170825,42.46186893575194,39.93280851525737,36.87870652800439,39.18098709505406,35.9427451499463,33.12269230029391,35.381370586246696,36.135316752334845,31.287480112615555,31.06348612970786,34.118109630880966,32.8996494893851,28.10189935311142,30.218756766886337,31.574513968498895,27.15147540252194,26.359516646931958,30.631196207896497,32.18498873309096,35.19528193196099,38.73638996944514,37.92924589013469,39.670515463289114,44.611667206534996,45.61253930699964,49.37485687226843,49.543001011995514,47.931546789772526,49.54456979458392,46.623513411692585,51.49577551389652,51.31211002395885,45.89229327527563,48.283177248458614,52.68984093358603,49.49585368368415,47.07091595159438,50.349483165316904,51.51463395778221,47.39008223112592,46.141429934615346,42.40883244299634,42.775753259202,45.032538997240806,43.07144695751809,43.317928707793534,44.25926334797545,40.87799239306767,39.160154783662236,39.763701583008995,37.96508882603514,34.361633793729105,34.610244970134325,34.31108404871176,31.222085297247617,30.480423947415055,34.85771522267796,33.194587148142965,28.83081932781317,32.6193208058743,36.23952131084916,37.06773077260582,39.838540793133866,39.43327261213716,43.81976636913423,42.589860757764434,38.206000173027284,42.25390145456189,44.41055122125427,41.65343057597771,41.18197719954835,47.036531488020046,46.56901620734911,42.055055339158336,44.555448761459765,49.35494909142635,47.57041346679736,44.37903049201052,39.94621307669382,44.40365798987666,40.71898936431113,39.83611108305761,34.91551627507663,33.61258020855349,28.723040494475264,30.34579176736882,32.52869310649518,36.28587275159884,36.5169516278365,36.40586015246611,32.15605149249639,34.26835483484923,29.72426363827092,27.509812044481706,28.54253596119288,28.302446948862777,25.87710227593204,24.390609837540605,24.401960813802216,21.84418759615914,19.86541905973194,19.498775966469495,18.2701889943546,17.137058801753014,15.901889020856903,16.860392260899722,16.630870652422004],[22.473136716700424,23.07067932432256,25.118110315176065,21.617159660346307,24.915549397522295,19.676865970571306,19.665745817443526,20.251051376576292,15.954233190247583,17.275556780335748,16.490516591961022,18.59084257616985,21.51473492979795,18.366047175108246,21.229696963579762,24.165418194985072,24.966474283883862,28.0932363192858,30.848740542342597,34.13843833163206,37.11250783032581,41.45552833566836,42.027196704278104,42.211776371212146,40.01193784033909,35.57851263228009,34.51584964971693,30.517614503240253,29.757938833933466,28.815713459680932,28.385064718326102,29.133876184237387,30.656135109292617,34.35574127358102,34.05095803939667,33.316600421265704,33.64506463484085,35.619112605724624,36.72025932583041,43.04784174174645,40.68403510540176,39.62551864433988,43.93301705438573,45.080598865108094,46.88188579713875,48.76506557188408,51.43084700417326,50.10774529174831,49.9355102451508,54.36549776162065,54.412530249635275,55.26012824505239,54.58941905351422,49.81896785207953,50.48228316127503,53.615928059456635,50.877046157400855,47.4821769172495,50.71480442278684,52.982265924042046,47.890894299413105,47.0987104842818,43.92345047284,45.22790556754339,44.6790031659359,41.114978133772354,36.97772838093088,33.32159013000617,30.336526921659548,26.6003890986613,26.091569077717267,26.99191863943518,28.828289473937552,33.26198996028958,32.669383633306644,38.253264424236626,39.108517178039165,40.97191157864665,41.501999982714054,44.105638175577276,42.744186350223046,44.10604704923371,42.25490514874357,44.00522986244445,41.7249548243456,38.812611086319336,39.46615848838044,38.832422122207134,37.50430660886664,38.35997076484816,35.16409712631257,36.436530868082826,32.49946519075409,30.35380676491551,26.299580922601564,24.568157369604506,21.022025051493383,25.184814064934752,23.696108973618983,25.631929006262926,28.99107117646736,30.34308226641663,32.88879886787166,33.2388507522806,38.17849906782315,34.7095156209532,38.07936909893507,39.02101033584636,35.62080325282891,33.522334469655874,29.463863454318243,28.744338240239458,24.0401270273699,25.629791166586465,23.162066463163704,24.74992359897391,26.264756424294273,28.302722562341977,30.04129465091216,26.71715799365029,24.138351855289674,21.509831293352878,22.331486876898815,21.44591346995463,20.197936401139067,25.165332028295833,25.18571259814202,29.019480266454206,32.123105457076555,35.566242336051246,37.310980525413946,41.04876523004395,42.04022326735039,41.05451717800259,38.45960971548935,34.08105240623893,34.43850582043623,31.97829925434465,30.14027685562288,31.18813661552972,32.49989015173351,35.96980489417956,33.22144883363931,31.74983922156357,34.3797680977867,31.3198622666752,29.199552327678536,27.331288250496495,27.67194944102487,23.762210676460814,25.763293472148852,22.29744168066519,26.348315729710517,23.535489696591494,23.53682552394278,25.635321161859018,24.55969562708994,27.5989632182067,27.8748519708234,30.753281279926068,32.24218883249389,33.051505356228944,33.508496558118516,37.198168931853175,39.839025744126005,38.84856651089051,41.81440773591234,44.43784502303399,42.545879883026664,38.69338523541234,38.40096455390634,35.56670281982007,37.789445689124825,37.47040585556303,36.93729236596496,36.98795972548505,33.840464400942174,39.038341123653666,39.92732011437789,41.429877899980255,41.32703325431716,38.16694786627604,43.49079036017376,46.384366716986875,43.765096830290815,45.47401360994669,43.48295698906881,47.71592526428741,47.71350080772645,49.19765967374444,50.57290732024776,48.05499604725183,47.738010088356134,45.66619179906541,45.9871609320251,46.695796754910006,42.24704428478225,43.00424512797087,40.72009697101403,37.87137001404455,40.619934990907325,37.620973128712336,34.48559893414681,36.8171168840269,38.06563604771796,33.2468765795949,32.50389635008645,36.025768655834426,35.380453422210266,30.27462835906982,32.32108493852213,34.12415159997702,29.86677052692624,28.609179428660678,33.011397022706376,34.19139968402074,37.733752311067775,40.52032699999205,39.91910944498656,42.033082793906125,46.88320369549865,48.27743004931036,51.76359026340362,52.06727916957607,50.2354805773877,51.81394509244822,48.73006677635896,53.45702806801906,53.29856955763333,47.61717667549594,49.90546733604058,54.22474947418991,50.900738498129684,48.2988189018989,51.3790220431523,52.50493067095795,48.37787643036929,46.75744782308522,43.44883949960085,43.85143339433037,46.405108838917286,44.86498466265688,45.22795166024391,46.58321188286456,42.99788397710232,41.094312407735536,42.238131910318586,40.552460095589105,36.63021161778217,37.026259951486225,37.199764166591265,34.20239524329699,33.234451172547,37.85164689607481,36.508650968721675,32.092602464926266,35.68756051836527,39.43946165520976,39.94911322461443,42.66335980845452,41.97989339889016,46.32464743785526,45.20868761198284,40.502758232016305,44.37237319338137,46.56533487885352,43.7358322382353,42.86772599722076,48.81401680921778,48.33957879632556,43.530487000490936,45.8169474720041,50.76106589534971,48.92053073300033,45.51092141904848,40.99029854211111,45.34362820582059,41.50731726846146,41.145442230680345,36.00881406180381,34.994901919788475,30.12785580947867,31.2006037001599,33.2487535963663,36.84796242462986,37.02724400663415,37.37406944012371,32.88537941166774,35.03452832799015,30.230300929442603,28.712662244920647,30.139442237212815,30.444089667139107,27.871732105197978,25.90208734837487,26.584539179396824,24.414274358016325,21.526483720843544,21.51461806580648,21.248920799708035,20.09291919618284,18.733509671734232,19.215167282341316,19.126428332456722],[27.998575795743427,28.65469603388914,30.347527604721808,27.308510370192124,29.777853750167946,24.065824239604336,23.27696750672192,22.612718036843958,18.149294202376083,19.022843261334657,16.865865099373806,18.029867953998984,21.889876956018743,19.06960949329998,20.24697394364002,23.31175057159809,25.242320450052535,27.658945382818846,30.80054977587777,33.935930301397896,36.80439109926621,41.16427455332223,41.874347725779735,42.64923695740936,40.58935058292792,36.24015704894447,35.350575309974545,31.45545656553463,29.844355271605636,28.478432346581528,26.562981576254526,27.6209736162237,28.099374162053973,31.673459461178872,32.25370712049746,32.17133889387502,32.90126698409106,35.59478952939101,37.32867097556225,43.58037828070239,41.77316579101366,39.9129652832615,43.96709555966501,45.66113311128898,47.66761516147641,49.98563036725107,52.323017539402336,50.623906579074855,51.05574406802644,55.371143844682614,54.83940460266369,55.64622495264768,54.59890623814842,50.070164386118385,50.2030212771396,53.056716933165106,50.47124920238584,46.8061628243897,49.61959520640368,52.09510224844911,47.029802920308505,45.540477143114515,42.04069228202975,43.44825833648175,43.58452405150245,40.05325742294956,35.86516752061566,32.03160024457781,29.437155379007514,25.27869950840539,25.120586417824484,25.458177301757278,26.709597240208787,31.421720356315927,30.51048770740041,35.50376640147417,37.10305309379149,38.34454836685757,39.50682030411299,42.643208892392046,41.53115081841454,43.6307222914264,41.81673064793306,44.21861241198715,42.39099195868341,38.865900185369476,39.039923638215114,37.74890209405761,36.21000908953516,35.99345394477279,32.741196305519146,33.25785600830579,29.280643217850887,27.09902911045523,23.726823412681306,21.16549991005256,18.536400891102577,22.73423587234538,21.920775010146254,23.744161906025695,27.533995340380116,29.835593127228,32.453944521482555,33.76944328171686,39.16595079143986,36.460341893529716,40.000806154038784,41.58092523890634,38.66196232074738,35.93217286575782,32.420006200184964,31.31548827848933,26.653250743027492,28.464152844152405,25.286352935312618,27.406368238344612,28.08417259894627,30.665975734083233,31.247211996909236,27.402805023352993,25.48598122876927,23.206967920171664,25.3314020855927,24.71793501902906,23.72623042612736,28.895858378240323,29.139250713179027,32.50145365667684,35.57935479133972,38.34321384782336,40.93595050908204,44.30458727479461,45.25775078752911,43.572455727810464,41.617380517266376,37.286749502596756,38.55784680831896,35.82534932026966,34.04871894594994,34.351048401730026,35.77255939436614,38.592052687135016,35.269837048942435,34.01552219318469,35.999170076430325,32.55888825525449,31.00254595779089,28.727291254544344,29.251876657561407,25.356348370014697,27.30796933308349,23.19371281117561,26.54428830833537,23.131995010000292,22.339071021071277,24.92394170795954,24.33577769128213,28.048839574761217,28.07638973522081,32.0133721958734,34.10388253923841,34.150935916861236,35.66657680738257,38.76499034614349,42.19302661024534,41.993414187774505,44.97994955380332,47.96625523416756,46.45121199294668,42.57033828402347,41.995466008298884,38.78372850203436,40.23859089792816,39.34927285188065,38.14989725508454,37.72033781128136,34.04124031399577,38.887366980694075,40.41728941215082,42.13580890666955,42.83933786684471,39.90860700668859,45.51173613477991,48.57479521768757,46.06626880281341,47.18883125972506,44.88798290364807,49.1938343287077,49.7586724042559,51.45673594984397,53.227375166203146,50.64545516261941,50.830688795446875,48.964652355694945,49.400932744789955,50.44689994018468,46.26734285191205,46.906810281602795,44.97257935679885,41.66591142041111,44.54933322140957,41.12128680767003,38.3017809718322,41.24059024578812,42.13841876866647,37.29242453355883,37.43871992600046,40.75830437721674,39.437233823363705,34.953124702053984,37.38425979405035,38.85616324951596,34.39190738707074,33.8797962270704,38.333292537624835,39.691433491351255,42.789002995817334,46.120756242383365,45.07932136712636,46.9189779524161,51.68093109141046,52.76048458334015,56.272537145687764,56.10322409175369,54.190960637982045,55.409893200753075,52.08862738547807,56.895771043839595,57.19651562093548,51.65506449500025,53.55972687776468,58.20159226226377,55.25348583008756,52.46409431478109,55.39221086781081,57.070738232648516,53.121293191949206,51.080368012120516,47.817309418598306,47.41533785140271,49.82891449469089,48.23736491610014,47.9795989545724,49.05822223943895,45.17851407198107,43.96464022562492,45.05128723255662,42.741808118932425,39.1731388313516,40.213878608308875,39.93233858610781,36.83760237563032,36.648908796515855,41.13931174067031,39.4592040345177,35.44159729582416,39.528284197288656,43.06039704962953,43.90601155300748,46.299790196715776,45.48955803129802,49.93965670179961,49.24980353102942,44.787716510342015,48.433276322059335,50.997910022597296,48.435683325181614,47.51200917201708,53.39635273863743,53.3805671547374,48.731692297897524,50.77164239931923,55.84936268896674,54.36870619116244,51.058340142347426,46.68513854748098,51.28870395604028,47.66561346379276,47.13454992524073,42.056035441574615,40.600895175077625,35.71590319917868,37.28341716630393,39.12149637054604,42.77984237866707,42.61938162338554,42.54487800649262,37.75513777655913,39.33212847107999,34.4371139831878,33.0244845416295,33.4522596831901,33.58332025846864,30.348178014596837,29.461008867564377,30.448316389278098,27.487673642051437,24.880118705554295,25.959808894183407,24.87996160627298,22.761068972961322,20.603856537315025,20.255067743981243,19.12216126241628],[27.770267729944273,28.16958799668993,29.892488184267187,25.959211874418102,28.774680886822196,23.870447478831867,23.117925420726415,23.591996599121074,18.896016195297353,18.998519292986124,17.49327375405951,19.93461632482891,22.459498068867223,18.659289000565273,20.770743387308112,24.065542733371885,24.8692988187024,27.205722173779215,29.453279401938374,33.13787591464816,35.64666778675362,40.15922913951822,40.39572542750483,40.73008191525534,38.97306278649896,34.50701348235783,34.046427533389526,30.324816458987556,29.515714788231374,28.998806692048724,27.418696455012242,29.200278764806264,30.27059592766212,33.450048937641505,33.600427655925145,32.73528969340155,33.83746700834373,35.489650734185204,36.86157803007782,43.29273155748537,40.728650113935416,39.00937159842253,43.287538781340935,44.7935141292276,46.35983966086549,48.4443796055424,50.86641150256015,49.63467707673895,49.95385906447145,54.325186155074846,54.19446133521667,55.288252720871625,54.43325877573489,49.63577447196047,50.39051280654916,53.145187287462456,50.157243821372646,46.84658050521228,49.952225596386725,51.963101936329146,46.673907277990985,45.49892440435065,42.333896617299736,43.14458134900006,42.983732682729205,39.74396816368602,35.079054549898494,31.66569020100561,28.288134447939136,24.612150062117863,23.747308993437176,23.914196676239154,26.091566919816625,30.62320018980802,30.571923853943915,35.93023618836916,37.44138011099065,39.352879032102095,40.34767839708324,43.202483509189044,42.43745980955908,44.13748021102183,42.82126913021459,44.82112757649456,42.45337932536641,39.26578934580179,39.248181029802744,38.760172537938296,36.68976965058203,37.33982997487048,33.718242039215,34.38101708453535,30.628274433545453,28.9575502134375,25.30392880046205,23.14313391541412,20.07055326051143,25.073261699672035,24.398858747290006,27.1184615780041,29.96995991835248,32.33829480004935,34.29741312217912,35.50382297415147,40.42102540984654,37.428764329387896,41.16874717951259,42.21260053163242,39.12179129927823,36.87473978261441,32.94882085623973,31.518362522102098,26.76685149764873,27.789328275665877,24.487842525864362,25.805670744964672,26.545191989575823,28.318039102358025,29.08767369641647,25.931310062480765,23.45734065003792,21.474809418979838,22.872787473099656,22.82120330547715,22.453452109088538,27.6473808124382,28.705554041411023,32.005702705759525,35.32540946732956,38.423938940025344,40.47136890594614,44.24209339992334,44.80068350860249,43.66582524333158,40.95883158589219,36.469715883320596,37.2351823232686,34.161682407865165,31.873634363173213,32.50163074272047,33.124578658953,36.12296978640959,33.201804185499995,32.26752412105803,34.765566122271636,31.828595878160968,30.106311747241058,28.588678104937195,29.567926304080284,26.039245776781332,28.643098605091847,25.227675304075216,29.344096745305087,26.742005491112142,25.916557819139626,27.82006475213331,26.438565716462435,29.9101302772748,29.415253814312127,32.95167848504895,34.090897514374575,34.084650931555274,34.67277812104922,38.11435104883274,41.05397112509025,40.16581842498674,43.54097835001517,46.09913382112733,44.651051558938015,40.63431626900931,40.51981899893377,37.38883088717719,39.46515150757344,39.10753213900018,38.350678923931994,38.56365010232608,34.98292967826167,40.22588832151432,41.03023778601116,42.92182577514775,42.84260825128643,40.306341331340114,45.61478756077682,48.40279016354955,45.59775820571269,46.67406939670676,44.22654642652631,48.375622996642925,48.37660428479034,50.33514979460389,51.96828651546301,49.68683069186854,49.77688909280887,48.011626747675585,48.65216218742214,49.71198176419246,45.41333869602876,46.4882072289589,44.54886418829971,41.7078348808265,44.83236733855341,41.86019564802771,38.63059931027087,41.22177519199375,42.68782917186586,37.89617537827081,37.106918844229504,40.85816628209126,40.35438804026006,35.2759876959352,37.3814871177217,39.33846241254109,35.11677648040825,33.811630302381964,38.26829621208285,39.28878188034183,43.00739218686958,45.4840312178676,44.91090565299217,47.170035464147624,51.93488023451895,53.46855542492628,56.797769781864936,57.0410543288577,55.04255168677515,56.4704424013138,53.19105579813108,57.83603423124818,57.86259436725439,52.05540122289453,54.12223158317449,58.48287445735829,55.202558701211586,52.407364645717834,55.26472791343316,56.55324289157352,52.50012424114424,50.43982416965387,47.50404290340924,47.63352267789353,50.354748600108636,49.11556099427064,49.3211037354218,50.858515842823344,47.01773882558622,45.26209550902943,46.75279848099993,44.8988985600452,40.911697443100984,41.65171967552051,41.94675633215475,38.96561012293186,38.15193472386913,42.85968061011481,41.56750678791783,37.25348261232948,40.91334161715397,44.66421220739048,45.11433878815482,47.69380897543234,46.798921198905624,51.14968036632694,50.24807968615309,45.42900283662289,49.10115787750326,51.436156824116786,48.647611056201676,47.49794728188068,53.471171415801265,53.1326369317645,48.18098413197506,50.22873013147996,55.303138008407366,53.528866574119036,50.00144275827642,45.47831081987471,49.78978365127363,45.904295291378546,45.87672813226102,40.63935830711316,39.73260973016518,34.910364356088444,35.716656995747464,37.60214322811625,41.06401082524055,41.11099392834229,41.679578680796446,36.94633957216647,38.90213625882433,33.90391848315573,32.96632505119514,34.28641757575011,34.890505294626024,31.972913717958217,30.115499864441674,31.337674860933415,29.112897459197796,25.800799786418,26.39962543603997,26.355023418819773,24.843330141498683,23.112121254618465,22.995038176185936,22.545773337455202],[32.264891187992795,32.71514477314163,34.36777837279178,30.45170826086158,33.002522792185744,28.069424868148932,26.97781171594582,27.086584956954276,22.30576516707003,21.94790251506479,19.85346542967022,22.047142495412512,24.642444551360086,20.792854927253483,21.961751780784244,25.369253488831447,26.507832051385936,28.167505802418933,30.201021021132505,33.99905027025883,36.170697417769794,40.732882796057076,40.80770427234151,41.40000426841181,39.96440349202161,35.56324847756264,35.48978185989325,31.99914002964437,30.92662334092907,30.492368407197144,27.876967220885046,30.249507175727604,30.71395024971861,33.52497367077825,34.225741497613264,33.52724491880688,35.12798858529225,36.83094419760494,38.51263015345994,44.908351084417426,42.431204431888006,40.15125389363418,44.29445875054769,46.139369428266235,47.6251957183541,49.92071093095326,52.10316241235885,50.82304321116416,51.5709059342625,55.85107257883914,55.46352127221896,56.66546123855382,55.60876993396083,50.899937146670254,51.53395651458258,53.98679325414838,50.93254412155682,47.60674558004941,50.48455682357,52.40752443395385,47.05479340002903,45.44047930529527,42.2009084936681,42.73949657358259,43.0430698371158,40.037466745029946,35.09672195933794,31.826748668427022,28.397242324843372,24.708632771669794,23.75191980425593,23.203947538820863,25.379326912623775,29.98658264579139,30.18455814994789,35.110089767287114,37.27244057014604,38.970928506288466,40.44485124740107,43.59222132583377,43.2312781631948,45.32767532918634,44.2886815725169,46.59437970757601,44.34530000612183,40.870472906945864,40.37607910147442,39.75110265362341,37.25361227555009,37.41381345729919,33.58203775392139,33.59263697470188,29.996103660689478,28.626665059294854,25.534131613089734,22.887187051418422,20.526822027668054,25.803623022436703,25.743075684872437,28.659195866513766,31.422770322451036,34.46014161731368,36.20798535090518,38.030295051235925,43.04920639302996,40.472623393239225,44.36388289861117,45.62421481538844,42.77271599233027,40.310614825711376,36.59285950041681,34.854247282123026,30.139277072630264,31.02518139625733,27.2775751547244,28.602824114606452,28.766119080482667,30.51750471785243,30.45603772779075,27.315937129559515,25.150954623538652,23.64517441926166,25.59899109263631,25.958635560882858,25.968476597383937,31.220840700477776,32.63719375480091,35.64821407570546,39.0119792154471,41.803982596719045,44.16847562459443,47.84180636886301,48.23842932441026,46.86378478624014,44.30132898634899,39.80936438764217,40.94146845883278,37.59794232383982,35.16631417963783,35.43646217717223,35.764624297212634,38.336953670094466,35.222919863191294,34.62134076709072,36.850286756433654,33.903243652279706,32.542263071598114,31.078945560319998,32.34251908494148,28.99236271785198,31.737113906178994,28.169814017811827,32.030637208869194,29.289136326732933,28.00185752373143,29.991790171756044,28.69638051716738,32.47955156291167,31.64360293209201,35.704373980814026,36.8815300102839,36.32284809634804,37.26010470292732,40.39393156074759,43.65839442565855,43.02552271262177,46.56175578203352,49.1649691587191,48.00288346915821,43.9343556578666,43.827190472523306,40.50441650318228,42.30550993269847,41.77692942980859,40.74070379547633,40.87228433377015,36.983520253392875,42.08095598338092,43.04634100132798,45.15485457603167,45.32923605963649,43.125596723957194,48.47930074964591,51.260154419984595,48.423978256146555,49.05755862625146,46.329249178152786,50.42994422646318,50.58749182386626,52.81848991137219,54.66600253606741,52.484585403605394,52.87958808338406,51.29956906766783,52.09140267053963,53.36324945038071,49.19625919293002,50.34505472609897,48.600598751397655,45.651223502089906,48.905310698372745,45.82547162128127,42.662019769110586,45.464048573888064,46.88411809665462,42.08739468023939,41.50413873528763,45.24830533200264,44.588189252206114,39.66163097778095,41.856902732893246,43.74250055592655,39.459121538224046,38.31180346163183,42.7708521102002,43.83957713567621,47.47268298676474,50.05465762580071,49.41185051917526,51.623074612891294,56.37076927775572,57.83055488890679,61.16869451821369,61.283381949077274,59.242279028821784,60.54506380198478,57.15938872374338,61.80935089874459,62.004266543140105,56.20714023780429,58.11798814508933,62.5738424528614,59.401518364601486,56.509771963051975,59.26275564516109,60.734566125229996,56.74396483287159,54.4566166902781,51.64486681060037,51.492295560261994,54.21952138851937,53.042677768242996,53.02852335886732,54.518447947486244,50.532362221190326,49.02594247052502,50.565873846953146,48.48247361628914,44.602435918810315,45.59761049102046,45.7608721768081,42.74662308067887,42.19305581051478,46.86786158872425,45.45587431637444,41.2614590994,45.079998721960926,48.767740888516094,49.32871551146591,51.817056459729784,50.86838705970767,55.25325968324767,54.49200760798018,49.72532796538229,53.31517098834298,55.76822590813194,53.04692735562691,51.839969383721545,57.80551624192381,57.59256563500019,52.64675548436841,54.59345260321013,59.72520936649897,58.0324674652614,54.49716679470691,49.99711529952603,54.331573218000685,50.45584126988533,50.46864609254725,45.22449922576421,44.27954614762982,39.45579742103782,40.28720323353496,42.11881312206183,45.55540091902227,45.51828038907582,46.06545403436832,41.212221342540126,42.98387374565654,37.921077957083654,37.151513943175146,38.18603924329145,38.79564770951368,35.622959787367535,34.10105813550957,35.48793931351567,33.02660637152929,29.745024163158515,30.7020867639035,30.432476266496625,28.622909974436244,26.620183516393425,26.171876861327828,25.31574362909099],[33.40519835155555,34.3545699472433,36.52515143469804,33.058045864929056,36.04557346028838,30.716117951528012,30.062956124495358,29.86373090894423,25.259622514411717,25.58740209622813,23.41123918561121,25.012673954914657,28.332388191692615,24.879027041601145,25.827652965584146,29.139953775957355,30.72831640375898,32.47490458600841,34.79387952155557,38.43991866608128,40.70313239655241,45.22933766387859,45.414799352255926,46.13413572570028,44.65114238359498,40.271479917211366,40.07728371790067,36.50182211184735,35.17804168783388,34.375533912521384,31.614645721067244,33.62459394650653,33.729006578315094,36.734949637581074,37.732820099914285,37.429239636919114,38.84295177494722,41.01924711867416,42.81634439012707,49.16215048820842,46.93347274132099,44.641263646156546,48.71523632278533,50.619323180989866,52.23784278394542,54.582880867457554,56.748142366433534,55.345264579099165,56.102844106123094,60.37571957856571,59.875464310551926,60.97189452371429,59.84553514811777,55.22909852261013,55.621242849175026,58.11801913446925,55.21752721720599,51.74828775790787,54.48748813768108,56.59277405596732,51.31620677583351,49.50599912717838,46.114424062543776,46.81783398108417,47.33437400842624,44.266794646043415,39.44367782422394,36.053079920438535,32.86700978198821,29.023571015817925,28.26677213401406,27.60037785596238,29.506842339560215,34.18002728992369,34.1411250128761,38.781845092988995,41.160454018522636,42.49778008913849,44.15453950036055,47.47652019798129,46.981648408761146,49.27255588733987,47.96727066211646,50.43938159907952,48.41586986286985,44.825746625823875,44.44959024612554,43.4480543350474,41.18756754300043,40.86304750644963,37.183215758983756,36.948594839739286,33.28935012865057,31.71330609109685,28.87542798035155,25.924940685735933,23.89820191278025,28.724120682092508,28.53312397065497,30.736238433436693,34.22726914245555,37.04222461715967,39.312221809687856,40.992943570131864,46.27997176523908,43.65466333262404,47.32579651000044,48.76371796886382,45.79818767632103,43.22165345906407,39.56353847393948,38.25438101835254,33.53429015570784,34.86252012849552,31.355037384359125,32.93968832079607,33.26980286143731,35.21140418374814,35.23475823601535,31.92527553177239,29.851493866367672,28.176705242639688,30.130532433216576,30.197785333070577,29.80571783809777,35.04218667692273,35.81507772845094,39.15131779628695,42.37915395081425,45.260732029571244,47.639171159745864,51.215375711061114,51.921897855117166,50.448049665837736,48.12193261847956,43.67849174088744,44.718726728418005,41.66351530213144,39.42478544075913,39.811795110868005,40.39539072870522,43.07229794984228,39.92074030593344,39.17214666276356,41.334601671145535,38.21527134983487,36.812470009287175,35.035121965869855,35.98862958990318,32.343917371325794,34.627179550764076,30.65725624355568,34.064400900705245,30.58121166047215,29.68464585426008,32.24494326157818,31.50626510215943,35.32588379115736,34.95145981629585,39.046378709357256,40.6946567449044,40.34879482337231,41.535761389043856,44.65345239157055,47.995478803837614,47.45161025995199,50.82713920199343,53.5193603971059,52.1806831246079,48.16590805013519,47.94255044724176,44.69377242609524,46.42632564418804,45.75670906043328,44.61916476382752,44.45710403635095,40.59122745336978,45.51200459112186,46.83448889402631,48.80258168536319,49.278295546996276,46.75016460670811,52.24031699099803,55.155670140038055,52.451107226805085,53.26028493698907,50.64931017070496,54.819787966655525,55.11904634154296,57.207520912049155,59.02950933945547,56.70929558825847,56.99962682246983,55.279274323392364,55.900012162069814,57.006613534365925,52.76097063248166,53.65311035005981,51.67595092157057,48.609154594959364,51.53348758635461,48.28132097560734,45.309733343565824,47.987132923261825,49.05986759648502,44.20992181641477,43.86318248504179,47.28210370861514,46.225920271400064,41.42441442368185,43.55813800348289,45.088883020784195,40.68845186869946,39.72566912575892,43.9861104826863,45.41366544158141,48.65657852999051,51.842580663660165,51.21856646737731,53.136919105548166,58.03808726482394,59.135735336961176,62.81525598626486,62.91369124020162,61.12650065290909,62.52603101644141,59.313192658147784,64.10788800257406,64.22321748685309,58.62147115391586,60.68139565314674,65.1917259720504,62.05167663320558,59.322467488138294,62.26705480698096,63.68133130526868,59.632294060557015,57.68804102221127,54.53847916534606,54.45994550160465,56.98708758194126,55.458405372218515,55.369584875673446,56.48962136123142,52.66795766973901,51.321886447382184,52.374504010024374,50.17346630775068,46.58051443932576,47.42386152647367,47.13628846724212,44.02252740230568,43.648349569665115,48.08001751269245,46.319768666725416,42.14406460715886,46.091197425632544,49.65217730036588,50.5424931811623,53.17328264095292,52.55014102955927,56.97512033655075,56.00258016226353,51.51709634287485,55.347531912876775,57.68670716222796,54.95141913079062,54.13984265582471,60.06370461795399,59.70781151627433,54.96178341613531,57.19143411166547,62.178846350110376,60.38254747945453,56.98020034721341,52.45734754492541,56.761648957972476,52.84726284855329,52.49179831462305,47.39007372501201,46.44557178618922,41.571431796883154,42.59801600845574,44.68554549761773,48.243070178538055,48.40568645148334,48.77191280985313,44.12866231267286,46.00984834864715,41.06824326275191,39.78524080957203,40.645759375854574,40.82860045703241,37.75570675850084,36.551625481105106,37.38884124382019,34.64224229971088,32.02164110768126,32.58906641564246,31.60291175363406,29.876044062643583,27.92817345750354,27.75595021250165,26.565761029992792],[29.344751957651994,30.39800689804263,32.83999822155292,29.374895748073214,32.80747896310185,27.573141481748383,27.391060040681232,27.60616639045864,23.133432995356102,23.925435710370905,22.314246731760928,24.152462998705058,27.381960583134113,23.920147359840044,25.70601582103237,28.95511311646687,30.176421337942646,32.473224400271,34.85686418189905,38.491964517375436,40.985349961449174,45.501429514881586,45.74770793729973,46.184122548766574,44.4852186810473,40.03248839180782,39.578369296145745,35.83319911950959,34.822792450817964,34.02469277845547,32.147528904914864,33.723839490073935,34.38029650106163,37.6894281597116,38.19608435425369,37.68590047583754,38.70671104138569,40.750322132864795,42.24083970792162,48.63677024130726,46.241555763121426,44.45155237687125,48.67296544664581,50.26153689902254,51.88748408420784,54.01024577194296,56.39995046228128,55.10806524510413,55.469978100096924,59.83019468521134,59.61561854901128,60.65120599812485,59.729136255090786,54.999587353702594,55.56921411236079,58.32297328137358,55.4283438200524,52.00822804952324,54.98016105489555,57.10905169404455,51.84991832889374,50.44209227589314,47.14202583408039,47.99455546678806,48.09413788716067,44.86296495344617,40.183087409607985,36.719902807508475,33.453995534196444,29.662099336638093,28.869929191066866,28.701372083432787,30.773328901296708,35.40429191623685,35.28658080859011,40.34630322452703,42.202842106070314,43.79388625133251,45.04326717470853,48.10116253253746,47.292089036705576,49.2046348584872,47.691156518278156,49.8547208478376,47.67612352652724,44.37649867119262,44.401187987060155,43.58815449182079,41.639012764050136,41.804742270736625,38.24640789990305,38.55635784755648,34.76488718259988,32.97577265542153,29.63227482733867,27.07413406134239,24.41903077656605,29.105531911056687,28.382567623457977,30.40689125280327,34.00268393020761,36.188898264920056,38.66178623784207,39.741965938276365,44.91476725182984,41.85465140483271,45.35683021995026,46.54100234429478,43.30141784826944,40.98776022829657,37.097569248577486,36.13695094492179,31.39839139732696,32.81863326709887,29.75632213712878,31.24088128806874,32.08980693327329,33.92441607028941,34.67371907512128,31.456056905561145,29.057772868035535,27.041415586297582,28.401628088410416,28.170230676469178,27.472704025874435,32.596136486609396,33.00229162672028,36.65766644121557,39.83104742767989,43.06352790719906,45.04304602850585,48.74430632352152,49.60356832860858,48.43250084304838,45.90204876056019,41.466551921644076,42.04733326415147,39.2661659938357,37.118507921475604,37.9055460777794,38.633784044722844,41.71735333183506,38.81548825937924,37.823166450366735,40.287943687748566,37.24350794752306,35.50261294502865,33.74926457281025,34.45858591505945,30.662415002568114,32.79384573485916,28.968739428728224,32.60238798993311,29.166257364610445,28.792298688772107,31.320963406489774,30.518176388572165,34.03250540507308,33.98548064141629,37.55611872878961,39.11513876003082,39.2887818424364,40.05860300734913,43.491845654363594,46.46552297739755,45.58414137305344,48.84234459309111,51.41748815797466,49.79690524264878,45.83482160514129,45.670614381492285,42.64432353275346,44.71462777697581,44.264064335676125,43.43240489758924,43.38965541754897,39.82028303165903,44.89892807765465,46.02666325539181,47.801328439299866,47.9763857740445,45.15388643323982,50.5682503749694,53.462945282922185,50.76766403653906,52.00124095076164,49.64005527400644,53.83163916446021,53.90822618108298,55.77248065582578,57.36422692840175,54.989606292701154,54.96002582950288,53.063440996327444,53.540833396330136,54.40697295743653,50.01241149654911,50.84701546981794,48.626946363344956,45.73157236090615,48.47180267910818,45.36727445458227,42.3240357382298,44.68368731420993,45.79807492686191,40.96039186045787,40.31136321078498,43.700414742064225,42.828841301374794,37.815299003981536,39.76472624651716,41.33414235312417,37.00769053444314,35.79508053407718,39.968497147653274,41.4075390449721,44.72092296663819,47.827983421044735,47.383317987543045,49.3338568789118,54.29731560505782,55.443248473972474,59.183437257103144,59.48876245523657,57.80787594690971,59.39938504477712,56.35342974633233,61.14721395176539,61.02087618142443,55.42413848151413,57.706419547904936,62.07544562835872,58.78028347053312,56.19752031809722,59.27473672964654,60.415988938312964,56.27738512598276,54.65147914923657,51.36315533924616,51.67872675010907,54.19656528584407,52.57786528849159,52.76631945846014,53.91222644450149,50.28685402819403,48.649774063549415,49.58568823308832,47.657887567803755,43.973158708722686,44.46723265394605,44.2737086412594,41.18112416071222,40.49480865635844,44.91779110896823,43.234608088723654,38.8840762537631,42.63673809627611,46.26316324033517,47.07436626310686,49.878738453433755,49.39698794284015,53.776740686262016,52.55720902819003,48.04622251451814,52.03303244591232,54.16967760270989,51.32184700673341,50.65002610109881,56.572222057442396,55.9803610006362,51.24118777039777,53.654419814186156,58.52565208350996,56.55773678148703,53.168591772364245,48.598419828228344,52.78839872364586,48.80416951451463,48.397160485396896,43.33578233901175,42.55586388216735,37.70047857791444,38.600680803044476,40.8330548432457,44.39377312073695,44.74995904699059,45.21386360879932,40.78953920173154,42.94306262330906,38.10811741464695,36.603451985804725,37.83788268728697,37.965608228738326,35.229954217915946,33.646841739660026,34.18002660853789,31.70141897708352,29.16842759918949,29.16502103963335,28.31463918419571,27.016006959764155,25.417758525166846,25.687419225261632,24.86676160265406],[25.773927801800333,27.0529375033377,29.697074957273045,26.769761047463618,30.375370195754154,24.7985681692111,25.047528426971095,25.049149129776428,20.915566600849772,22.537561065232467,21.18739702670004,22.571930295039742,26.292518552933856,23.38377370988776,25.434369652662696,28.44173766646118,29.880917135133185,32.67946808866565,35.56927244954361,38.86905049675069,41.74473026151449,46.1417477651208,46.706162936182736,47.141864530372914,45.08452187585125,40.65560629124998,39.73450360698025,35.77010881966992,34.6222219402673,33.39658452944933,32.16207687412198,32.962889180095004,33.79756527334012,37.522112569459495,37.811790635731484,37.530801884266275,37.996221446923585,40.45148655716831,41.852124638920166,48.154180196392375,46.043349396175934,44.63157322766341,48.8369369744713,50.24105799630166,52.1160742373481,54.16823488706277,56.70000237148877,55.24340459769005,55.31756447114626,59.708694471903854,59.518919100741726,60.33488614106657,59.48891141391765,54.82936097343407,55.207881896432056,58.232404257315444,55.57980085823875,52.02415697278586,55.026684535025225,57.4241586653121,52.327908948044275,51.109087008469416,47.726876157104506,49.0310568394765,48.92616875264037,45.40987223312747,41.14751116287455,37.42349693836666,34.53371207841224,30.576168149577743,30.13043052668546,30.488013548941854,32.19244591767484,36.83561437970686,36.19651850518129,41.381108480327896,42.81300585530158,44.25715791126072,45.22861773204065,48.181494276446294,46.91416408961831,48.691851492941986,46.735237761827136,48.82570900348108,46.81637393187293,43.61590012390624,44.101157425370886,43.03434984430873,41.66049398239973,41.79996290974405,38.578404502664846,39.279443927757285,35.30626053596945,33.105841155999855,29.53097626118166,27.175912116838475,24.26852948198306,28.311536542247868,27.057752473252894,28.404771310276978,32.505923536495175,34.038303456974134,37.01178602489588,37.582492242208154,42.860634180065425,39.58158404082371,42.795690065912346,44.038718636260334,40.66244911753634,38.33555013789606,34.48492595301134,34.03420741089938,29.371848821467438,31.29016125327023,28.73466299627125,30.545626829602934,31.8218455931528,33.996861749211114,35.2812334815575,31.79386050878762,29.430022527544068,26.968451290831318,28.178284702157097,27.36624536966945,26.053252292259085,31.018086683954948,30.630854475628322,34.59038044189516,37.561502647422564,40.90831188158661,42.826173047209664,46.397851048458904,47.612740522528,46.406909460475966,44.127007483409876,39.80719500189525,40.26540423538801,37.933523067379795,36.17176203809399,37.12178157419717,38.43948633651111,41.76570797170965,38.864251088804274,37.47880630669621,39.91165582926605,36.68050811233278,34.73948796261257,32.618947489293845,32.85466564684245,28.77100360505605,30.38340853966185,26.38867007002076,29.76914026190216,26.001283019851243,26.181037427306034,28.98306947190505,28.549673938022917,31.83862826720562,32.37305376523556,35.62302569527149,37.59877789499383,38.27117290814597,39.16570129017368,42.671087942958465,45.57354759420598,44.79087446615466,47.7104583667323,50.42551633843168,48.52378814493997,44.69752094574671,44.31696232464621,41.45230688863498,43.462985666737275,42.91603606755902,42.12337543117033,41.841559030679925,38.52207349509038,43.483525902901945,44.81706019391664,46.31089839575844,46.643094010548815,43.35538029472139,48.83463967575008,51.852509142067426,49.34317766208701,50.97514809507243,48.92885478381393,53.20889505114896,53.41153762233543,54.922770360707055,56.38663484417133,53.79816162747189,53.54135291457075,51.43631682583635,51.668759182144875,52.31466443408464,47.86875782006493,48.40102488974808,45.977611273960704,42.97521482850195,45.40868371668621,42.187132446638486,39.32102942557119,41.5910534579691,42.41670609992363,37.57150449525888,37.19406912415599,40.30497240415789,39.13051672955648,34.27974035294941,36.25982765469245,37.585276653577196,33.18725184909885,32.22388073143502,36.33144456678691,37.96834052486528,40.982345024397915,44.51483113611785,43.933846952585576,45.671126819890794,50.677825518689424,51.61131403726436,55.494086952802554,55.733832448634814,54.18888873193817,55.82214684413722,52.90072122019068,57.77523298008509,57.598216111283726,52.16402503562744,54.54086486067363,58.94178225171487,55.7097019704679,53.257481980474665,56.48316869029115,57.61610237270125,53.46893353986506,52.12571072309063,48.53558865500064,48.8900225542464,51.21931825734266,49.32792508438715,49.50224489926588,50.413355743544365,46.95528807895982,45.36250114216325,45.96724996892425,44.040710857752764,40.519867475133665,40.86188471435407,40.43437191048356,37.310248734484546,36.68975483095021,40.97316692493035,39.149316273391044,34.8184356676715,38.63203257913577,42.188887291789314,43.14897960387638,45.991176288803615,45.67699496410927,50.06498973587146,48.759254910029725,44.4309627317331,48.52807753334413,50.62338260569082,47.81490264109947,47.386240218398726,53.24992967349425,52.654306482195516,48.09821652171308,50.652760326205296,55.428252481961515,53.498953048035695,50.25051667682599,45.736265208305305,50.01505073738657,46.14214585426325,45.39379433842685,40.457650363195015,39.47348456447739,34.600535455973485,35.85886843690926,38.16986448344319,41.84891572665173,42.231997576901136,42.393568204498635,38.12964589440876,40.29655367062458,35.63242194978722,33.665187692917904,34.73433655033267,34.546438887912664,31.97115785204503,30.57825548125797,30.692654210601123,28.069101378698736,26.036426220353906,25.755304721328184,24.449588980170702,23.246699487753272,21.79854295796883,22.406210946385237,21.629040110811676],[24.926963602480555,25.967816816692395,28.637382621552366,25.02189069349205,28.951869836962516,24.061202812309347,24.413652872040544,25.301817999807948,21.076117236228242,22.235147946936394,21.432540851164394,23.653043754347276,26.449360702356568,22.97217338289962,25.730144130150123,28.833299561046932,29.46457161692392,32.292582096561254,34.588543262055666,38.202702116426956,40.86646188775937,45.325203624569006,45.58431430942976,45.6590197914496,43.77145491124117,39.29204233289537,38.604594037963864,34.76058288309643,34.218275375364776,33.56122921618091,32.721678204036095,33.912462644579065,35.2347260942535,38.739048416499514,38.64947684564477,37.810372234298114,38.44811955055295,40.16290925885326,41.247635902316226,47.64316731859884,44.99282060612315,43.7938053742884,48.15376125979388,49.353745678025554,50.918750476118205,52.75097553114378,55.375692639586525,54.27063466746743,54.18364024337371,58.61194116815246,58.76005389889865,59.76135952351071,59.0939256414559,54.24403039518637,55.087739235881415,58.082976005159416,55.16346413775281,51.87763153233666,55.11536322077603,57.18830156082631,51.96520678408349,51.04911046571386,47.92693688299602,48.85801852784778,48.464845471707996,45.12981881638327,40.61792971130351,37.18351507568785,33.81266082154992,30.224499973473293,29.34682641816451,29.705979831748927,31.98447100979175,36.44742242919111,36.34228797571684,41.81415852191425,43.07052643167909,45.005135144280736,45.77849595653339,48.476967963172626,47.39068550005875,48.81516489611755,47.17440624492087,48.920646089630246,46.513283383416656,43.6159822685373,44.04466817605118,43.56530520814559,41.8980415197983,42.712903978111974,39.28206869053582,40.18582395040208,36.34800942423768,34.44542179686114,30.60925993766633,28.589102486314395,25.31130106671477,29.826093331066627,28.593372730857382,30.56329093682367,33.99582346764965,35.50087199363686,38.01381132890098,38.42457425903276,43.318522471519515,39.78270606931062,43.11155682102994,43.91459412766136,40.38734975452283,38.46841686659323,34.29913719124442,33.6628334962734,28.97483302998342,30.33819090545613,27.82962171556481,29.054578505988633,30.479827892285538,32.05798907302394,33.63176879478862,30.667242198956657,27.913927611448013,25.607318014606662,26.153722247634914,25.64651477229771,24.698028130793876,29.580330108291022,29.70802201281369,33.64551287855662,36.763140873776145,40.392782523312356,41.83531348443238,45.70976626331754,46.65202301621604,45.904205854968914,43.05297818360379,38.64584437111649,38.645641217433905,36.1441043178694,34.05952144487845,35.32494611863119,36.11370714698383,39.62919983813009,37.09293489176829,35.880734562342234,38.70546392881495,35.86022417762512,33.75527265566319,32.172611789153095,32.67157064367653,28.85379735335321,30.898698046396383,27.458480492484018,31.42346940721451,28.328410011208533,28.466868372852232,30.74002395824599,29.721975762029814,32.79033938854287,32.99300249649309,35.86533390386427,37.14139521491148,37.86911476819416,38.03600260526419,41.81584452376487,44.28397314292601,42.95316721749396,46.102936209421024,48.47359792855006,46.57057374626127,42.679807285335826,42.643616330244384,39.90256072874947,42.40705190208136,42.28011502291945,41.85851564855798,42.05139879626209,38.86540309472557,44.111809200556316,44.895438666058865,46.47318117861009,46.19558559995233,43.1543438526857,48.38505315593398,51.188703391228756,48.47792139466366,50.149023335518315,48.05862108977024,52.21180590789243,51.974453229646805,53.615973941768445,54.931149539565624,52.55661947419236,52.171425807925495,50.11521834270499,50.47065766496166,51.084637237900324,46.541461698280365,47.38883000620035,44.93638594333694,42.324097088540164,44.915411379958144,42.07859001295404,38.89574992327814,40.851699034674276,42.1325666523047,37.35356466544417,36.2024426313118,39.64730582733857,39.163764290696626,33.8362430174594,35.530262337802164,37.266243903041435,33.102444703683304,31.46237524316693,35.5591528135364,36.89478839910168,40.433036095819254,43.223466203422184,43.03482830233484,45.12162308975421,50.11422850813643,51.43378764244839,55.145975728849606,55.7307324080754,54.115735700079696,55.92255295417042,53.04839719301481,57.780177063923865,57.36835003827414,51.73252039441256,54.2492032372243,58.4058231516947,54.90496807659642,52.46813497528471,55.64566656007237,56.442846896920074,52.2147002826079,50.900760702447315,47.55484995157079,48.36451814007078,50.9245362518794,49.308934972376726,49.87328965173138,51.15611600102102,47.74784134891125,45.70570779427759,46.634988203427675,45.10042788912711,41.240965544614006,41.32533111037573,41.39150088316867,38.380751354388785,37.2321777177328,41.687174892802474,40.21944232771491,35.6631582632798,39.086366559632125,42.819305672647836,43.42300305137518,46.40515655289951,46.013952237998616,50.304571521095674,48.82709747838137,44.20961332551031,48.31796906367543,50.21273470529329,47.22271770999343,46.616049579536245,52.53568975810254,51.66894523399665,46.87923329039085,49.44812671411228,54.20086978499555,52.02933256581023,48.61513232423958,43.98764886278053,48.015650609312615,43.935523700481646,43.588977886478936,38.53664697319668,38.011706124546336,33.21046683531729,33.83611490956857,36.19721421165567,39.71114153388875,40.283402658043805,40.957992651591965,36.78593873241692,39.27168479034903,34.57180571930238,32.94839582323605,34.74518827151984,34.93399905452227,32.64315413782123,30.467729650090995,30.752957753324317,28.766764230331063,26.179088503625813,25.481308189808953,25.080429829251187,24.388246692584588,23.293374167918017,24.054811336993065,23.826059735155084],[21.016325008284635,22.779727690371324,26.169756838284812,23.619855708954773,28.106306013673912,22.826000080063377,24.130023876510435,24.734497426410098,21.269158013565644,23.7020748328074,23.282296937973825,24.717546753953105,28.200480539697356,25.58122281939154,28.502672145314854,31.241764124392404,32.22046388098781,35.59133683372327,38.47962062145482,41.656397783518,44.7407322458927,49.03009828239569,49.66052007212999,49.75236341163951,47.47111644499537,43.059200914761966,41.822170799327104,37.75144293902566,37.01351097358991,35.77599771501914,35.64467361097666,35.834442722121025,37.23927879667286,41.234392564208875,40.98822804520906,40.531194664927895,40.4551212655198,42.754561084975556,43.7343273007634,49.94481937278401,47.699920750188376,46.97945849012858,51.277050828247646,52.25164702477978,54.11892989267424,55.84436274715521,58.62998416163409,57.32940984276038,56.875034061941335,61.31713551755538,61.49629344355878,62.20268192981495,61.62781856865947,56.902510242726656,57.46623112048505,60.788899837079626,58.205328309204496,54.74550931884425,57.970611545879876,60.39149282525752,55.39960434607663,54.65013249414664,51.408004997013414,52.8733961082088,52.31859544586701,48.669947071803755,44.66629351205236,40.94502642792872,38.06001163729898,34.28722119430468,33.822185818193454,34.63667395617471,36.46640284430252,40.947501416297506,40.24204616044429,45.72645135723397,46.596164655306644,48.251180712129006,48.767277620947425,51.37854305568603,49.724187050326634,51.01877460675407,48.77182665561417,50.434888703065866,48.30554867598019,45.551893866646694,46.57566931929207,45.70504659497638,44.79154603586449,45.43052713994288,42.44347559497974,43.678662408149854,39.6529083368688,37.26788382262176,33.31444216116373,31.43750992790878,28.07028662243105,31.652646618887594,29.781972114137616,30.632440595580107,34.852261733264356,35.37774904945124,38.66920508251453,38.30339275914528,43.324475834953745,39.455699566429146,42.23622498554765,43.09998546795174,39.31946669100295,37.45774226521014,33.37507051906391,33.67537055974136,29.20758138794896,31.31777753897865,29.654148866978787,31.28041156296059,33.274815096901,35.23219648516126,37.447916679982626,34.202479319624224,31.546967345531375,28.7534560314005,29.048877767027864,27.766080096740595,25.931663356080794,30.404625471503405,29.16810977183346,33.62597533220539,36.349502423937764,40.20031027703976,41.419661290191804,45.080551997208424,46.61901455822558,45.887730774257285,43.413631519705625,39.240974946539374,38.910617445929155,37.19396586485903,35.699175295955705,37.266093549620656,38.81197609930707,42.64545770251847,40.178231779941434,38.471798189963906,41.239472839468505,38.18540329617621,35.83289651203991,33.76389331923154,33.544146358709625,29.3526568851368,30.4839147599878,26.82706040365125,30.209462357141902,26.491132200970615,27.622381092100166,30.373351303963155,30.03318608447823,32.69883236479957,33.82411144962706,36.16620974958151,38.070004916653964,39.53454156986305,39.856796111749254,43.71041486988643,46.020735392509216,44.776239439022994,47.40783919327438,49.909382532379524,47.5580170190032,43.9173409742577,43.6055386128111,41.18721077137476,43.6395968797021,43.39815768191644,43.05027021317016,42.87330743004021,40.08473309609795,45.07616245250178,46.19132153328876,47.338713761797244,47.30474817891763,43.57132186327148,48.84446858935134,51.809294553594334,49.399661844449504,51.67027381214644,50.048856426312405,54.29026145305763,54.204489847640886,55.33706236592035,56.43220520177467,53.771303166216676,53.00356150040625,50.62113900349369,50.571087790330836,50.768054408142234,46.13276155152705,46.46897163675782,43.59540156644965,40.90397880194187,42.84112358697299,39.874088848573585,37.02783697025371,38.628858696671365,39.366144872158515,34.624166651110855,33.80290821678537,36.646194824280975,35.6583996763464,30.565324941606715,32.11759671872241,33.322040302305034,29.090296698358767,27.741538476931627,31.50790669206023,33.32714747093801,36.250758788170934,39.88490471307904,39.649321167738485,41.29440251312051,46.43570526404206,47.29205386339721,51.3987030451313,51.994596679116704,50.75304084787548,52.740653598187464,50.20742220411885,55.07723879463681,54.46049335733294,49.17329076202008,51.95685084735204,56.08828532039168,52.64097347383038,50.529666964492186,54.007822243513914,54.64831196654564,50.37467479269513,49.71862872951975,45.821421822622554,46.86756879666251,49.06897720310655,46.922564479896764,47.53660459647413,48.33702506732725,45.33286223814469,43.338446160184134,43.5391648442188,42.07808038321507,38.59185704016033,38.24494171451779,37.806711756872275,34.75277859711545,33.645515141998715,37.714827072961214,35.91467516413549,31.34891379894012,34.77189914671342,38.34184608247697,39.28872833201863,42.47481337576166,42.55843116821179,46.82139629561853,45.002069262265266,40.802992003432216,45.22641030245384,46.8893175508712,43.90409894094127,43.899603755445035,49.67252428695394,48.607634583577855,44.196625972381824,47.162986807551306,51.625571288244736,49.370917213533595,46.23470676093617,41.68193608839851,45.69515501128086,41.72473038931396,40.719878603127476,35.98629528829244,35.319526399943804,30.55088790692496,31.647176221323562,34.30344570219424,37.97507553908175,38.786070658643396,39.03861942538763,35.351327328653745,37.988577008032436,33.69622668505496,31.182481519711,32.81729334235387,32.3566138743628,30.52961161128186,28.644154424160224,27.93036289785074,25.802386627543857,24.358304435075,22.775152390096387,21.433205043554707,21.243897566748466,20.65042927624444,22.168889827705293,21.99845336750531],[18.151394018289437,20.219424227826856,24.03933108030801,21.83754714413014,26.768713280667033,21.772454351627587,23.695388178546217,24.615265922275366,21.667557694337432,24.506031622157707,24.59811212597862,25.99407024330906,29.293601195775555,26.928159636046274,30.23929146963762,32.77824811282498,33.52029262382375,37.17838692529405,40.08263554572336,43.129118913312816,46.332296611224294,50.521829434919255,51.217124385314946,51.13365552125678,48.712174642622266,44.34955210899525,42.910839273439,38.81010122528444,38.27974053582098,37.01877215326412,37.50928812244359,37.331046984908966,39.03745944483919,43.159988175896224,42.613578388546244,42.08069878150509,41.68065997725326,43.90378095507516,44.642980798523624,50.74467703840624,48.473836087681505,48.15824247547985,52.471500489249344,53.1943615576657,55.07267530206505,56.610694882619065,59.529467800209986,58.29783426675058,57.539468113914644,61.98720508398245,62.36453277902189,62.988678013209274,62.568771872637925,57.842915442573975,58.483472745915314,61.97079450328815,59.459175234205695,56.05735555910094,59.38631086767939,61.831019077775,56.93251864104048,56.455001975958695,53.297441428029096,54.88078988589994,54.07204267334051,50.3489888804355,46.547437542235514,42.83185618325313,40.013663760404256,36.35620728024351,35.92241443894039,37.0051879280275,38.839612911268425,43.20502834667423,42.42144158488882,48.03768486910113,48.56960172754099,50.31728878014639,50.56543883647666,52.96978139215221,51.08522858386138,52.09806229545827,49.68042781871031,51.09082661701132,48.924451586671815,46.44374152804875,47.7822830055637,47.00669139985787,46.38597211981389,47.28829266014924,44.468598665951646,46.00782801371504,41.96906054596042,39.48284622964209,35.356084762694266,33.759743454319754,30.190213883442503,33.4544890139967,31.26762855439198,31.82991213067955,36.05166243669411,35.99475810802461,39.431833140473366,38.52749637466337,43.35034281266328,39.17968415003682,41.67111731806331,42.30980174876126,38.329769274918775,36.75848359574567,32.60135968228913,33.35710343252422,29.090067123877688,31.303737764140816,30.20156935006753,31.7312925781426,34.10693458858402,35.96337616312875,38.68078420954936,35.56904851381162,32.81625912020595,29.863381289845584,29.674909620315283,28.109397921412505,25.97696215230274,30.052617948334486,28.28390076140454,32.96990275537557,35.4960061090587,39.59239237959163,40.400390873350204,44.066805465720535,45.80025498138721,45.33738953038139,42.798416290095794,38.764202663742665,37.99016721550443,36.68397455890533,35.40304260937421,37.29323675911857,39.01236826574596,43.09176138387422,40.876669037196685,38.979788957626326,41.88454702013743,38.94136117001245,36.38561689899075,34.343584133465946,33.845461962462416,29.656239132207535,30.4684760862319,27.083830151446065,30.396756699937768,26.809783944998046,28.444548309260682,31.100195143991144,30.820003914844495,33.08240333892534,34.53876221038439,36.32649132677595,38.19097257195883,40.10561631968699,40.12861353447845,44.13269517489135,46.097817908826634,44.62849431925046,47.04349903023698,49.42616024204485,46.81929060882402,43.3286721379582,43.03216932300246,40.89910560515198,43.55795379963114,43.47652122882451,43.37811860857335,43.24574280966294,40.79316674957146,45.746827541544775,46.74202996196177,47.67187385485497,47.44640287879572,43.46835109917469,48.58447480200067,51.50700494695677,49.18542928341058,51.82111364943068,50.46920864015181,54.66780995099462,54.43939136960804,55.32473452411123,56.20231353551039,53.49677076784088,52.43735616312786,49.90107135546899,49.67378624113903,49.602339491953046,44.89204401338844,45.089855746690745,41.96861163171091,39.4712414858275,41.087919183306255,38.29050987660905,35.49254051980029,36.68090856361831,37.34718001263914,32.71271900850855,31.649798997351343,34.29132873389481,33.41782738487415,28.23217502630739,29.510139081363427,30.627374081671768,26.537479611284446,24.96830198504308,28.497147882920608,30.418983723224663,33.264809649359705,36.955591598347326,36.90806163902499,38.48619017172138,43.68168498137304,44.49488552166782,48.70830496934222,49.50424080626662,48.43860286112502,50.62060020333858,48.323620085110896,53.167252021559705,52.30200651256783,47.126864833273586,50.13180561995848,54.09231499423462,50.54175326036959,48.64057382284178,52.2516200915891,52.61374919241478,48.29084042729677,48.044436286108684,43.97655627953507,45.41098476681151,47.51518836160779,45.22752055936751,46.093443092829745,46.82669427852189,44.109043090004945,41.89229560243355,41.85665397789262,40.688109824111116,37.24866512708864,36.49345280951193,36.06450591127685,33.08903644581547,31.688894035777004,35.59682305303617,33.84394018159937,29.177091523967626,32.31891073121642,35.877474633466974,36.79682443787752,40.16354529519925,40.47480449306589,44.638125518966355,42.531998850769995,38.42986388220972,43.017155000835594,44.42208457960978,41.351629964281656,41.59963819846595,47.28804245513028,45.96580630233591,41.66719589808249,44.85942063148061,49.120345445264235,46.699155248572715,43.65041797037211,39.105641304936945,42.96258176021085,38.97089546939345,37.790038881002,33.210028803971056,32.70758377364255,28.042858978587336,29.07278591161753,31.912604869416032,35.56307186275737,36.611073147534874,36.88132136042338,33.57830655188832,36.457600167865635,32.44894928702102,29.61711057661062,31.555627728024774,30.932276385247654,29.589640773260584,27.44582422839775,26.226207556412056,24.453677673860785,23.416078456171412,21.050879109524214,19.724233996090685,20.20162954178803,20.16852197404472,22.17436866624188,22.376609329304355],[21.85824567459379,24.356751690166394,28.715294794865603,26.583756838829203,32.01219421226322,27.58143136475537,29.788094172173313,31.014255862426907,28.119590140368192,30.77665622056848,30.88587100273623,32.45932260010467,35.62996125234336,32.97251667988559,36.322303523391675,39.004507756478695,39.56373423241279,43.07347446194737,45.62568781367585,48.93355249536547,51.923561555864524,56.205872705847625,56.65006750721614,56.41212083228809,54.21668391040135,49.81071178985686,48.63368413379551,44.633745158791726,44.332418241445275,43.3024949973181,43.58816939143395,43.70873723389716,45.331335510437086,49.351825504099835,48.911538431601,48.26349323228669,48.05347143962158,50.04382339519491,50.71176448448945,56.870820062686875,54.325918546601194,54.00199585903918,58.38602372063424,59.081416766277925,60.75521811864201,62.18775629797454,65.11880522815703,64.1074388769706,63.32304149696214,67.78139421339836,68.32325926592777,69.0604629433421,68.69713304432004,63.88252062033651,64.71582405550282,68.13772050659757,65.47685210075197,62.180180662450184,65.55715977771598,67.84082405250894,62.83734079894141,62.32839412299358,59.22483436842001,60.5273019274907,59.776876240873115,56.21198329519068,52.12381839208936,48.570779424659285,45.430205566000204,41.88971968120962,41.169769976228736,41.9042641073063,44.09810697681636,48.48534310431633,48.07521929532257,53.66932658393733,54.456057889887376,56.298340792184696,56.687245162941416,59.13236859861909,57.415082899625794,58.411684490351675,56.12369093852776,57.46668372722375,55.167026351841734,52.763457290108036,53.992678229503746,53.37348758242895,52.52791462258889,53.468389373001244,50.47023144801394,51.787061343467364,47.7968196754875,45.466092712250244,41.432484413637674,39.64987278487372,36.19105933930602,39.746518274023785,37.70416125431416,38.30043395288031,42.575599964516314,42.558575739163274,45.98735067665348,45.03026489433563,49.75753172756049,45.46201116839564,47.83306474441751,48.27174232983141,44.15232275182523,42.84517587265474,38.61221668768274,39.507438762795104,35.3059590715338,37.30499744778089,36.238577663848744,37.4476216068127,39.82899479979238,41.28223230079909,43.99558496088853,41.19494910075189,38.258780250415654,35.508230564711255,35.01650042040618,33.71868218646662,31.818277419269663,35.74295711159216,34.03377247323417,38.78205420763789,41.25485438552046,45.55356173186662,45.950004317003184,49.71922662174877,51.45339895081526,51.305353231084354,48.512286636659226,44.50924423558281,43.28121515858964,42.056513506126485,40.60989799348207,42.77052041554189,44.061567681955246,48.2500523497101,46.29621619394016,44.57314911171316,47.69336413508589,44.95343913882545,42.35483513098494,40.562999555734976,40.16544383521166,36.06270496756301,36.90495702980403,33.61882079803491,36.862619198485234,33.127857864647325,34.89365125888049,37.64717278919766,37.38615953997293,39.62368893734511,41.048680051961085,42.73735684142568,44.388401221370515,46.3291831896562,46.019366214472385,50.15137202893127,51.86336035188585,50.01046291462599,52.52486592266499,54.616645884232305,51.92121716040077,48.46499279958388,48.42019521037559,46.468053642888556,49.44085539338093,49.58145079255513,49.64970709195348,49.66155415779333,47.24238171720954,52.25256731654748,53.12211646726113,54.06614010178955,53.625365540838956,49.695134296828265,54.67129962799224,57.490522552441234,55.113209838738875,57.826079409913085,56.46338899093749,60.58259365057915,60.08758787393494,61.03507947432718,61.77708693907523,59.19710102325189,57.97228539094691,55.40720831606324,55.152721405725764,54.88993551383773,50.09795320858244,50.33452330703062,46.99326296121808,44.83908202739299,46.159642682841586,43.63555911628646,40.857902616266095,41.49981046357837,42.15454897277576,37.72333165436099,36.18139247403492,38.574839146891094,37.93937484556379,32.68558871229908,33.407200688229324,34.34552861748296,30.62130158178398,28.62271983185444,31.46014572878193,33.54724364067942,36.199972313396636,39.837642859555444,40.36567313097225,41.81307101893246,47.07386868840577,47.72644793938796,52.196798016019564,53.38970769819177,52.6814915429527,55.169061077631866,53.23933194129781,58.01896042793878,56.78147596434675,51.79013246774125,55.09012175930029,58.760397574132156,55.02306212684465,53.41785762463074,57.148979990836295,57.0383894190399,52.639576063714415,52.8982309365643,48.77361893732622,50.75260649730565,52.80055530138401,50.40366987409893,51.55373226109807,52.16555840228599,49.77018502727773,47.37514256321019,47.02408768159657,46.129559639616446,42.839832567517895,41.65110520646249,41.11079933290839,38.230325415164955,36.59614793290056,40.131959933004566,38.29795024734567,33.62827791483914,36.34023175676728,39.73122737577797,40.74036239542517,44.39721465707731,45.13138078598482,49.10831102899593,46.51135086948579,42.669513465564194,47.488780375980106,48.41947162984384,45.199998854851344,45.859795212046016,51.36884270308832,49.504950108322525,45.38429923521085,48.936655142276386,52.81107653208928,49.9738889441233,47.03147043218406,42.47338133713268,45.78563542118784,41.59631748909659,40.353268909433936,36.11041586401339,36.26745699205108,31.911415424863446,32.36249190088576,35.527389800910086,38.95992523743708,40.51835132686528,41.14041539765613,38.38966335703499,41.62643670927369,37.87350126765991,34.94028155817105,37.276950692486444,36.52620169509811,35.5971088424469,33.243832964637264,31.592856727980166,30.16863682938576,29.46813233136376,26.471096974634776,25.147751496212823,26.14745819161029,26.40526144264511,28.574746541982076,28.699141734221556],[17.054857340017943,19.84464728053752,24.294538116348726,23.081738949550434,28.365145253199426,23.615759143064295,26.22267178934838,27.087715930522073,24.846315976361435,28.209597585988316,28.56870765584638,29.576830536865433,33.038257584688324,31.113417012478592,34.48766718547354,36.80613722196215,37.61631385033696,41.487553295016625,44.55994765141302,47.405263452997644,50.75850207123163,54.8378698581678,55.66820133159668,55.52628125389449,52.9516307718056,48.656794847697775,46.985560120772334,42.841035272842426,42.312762497655186,40.8343185891005,41.72453317059928,41.0638409256173,42.81938771599026,47.13208019636674,46.48306950128567,46.10819318650114,45.33496919694986,47.75999677057813,48.37288896848719,54.30184463311638,52.19837126884781,52.20937513579118,56.474034492966545,57.01828570730666,58.994020618512515,60.40235362571839,63.41616129687362,62.15512688663356,61.13958772988323,65.56702270732856,66.03930446080744,66.50771592570055,66.18721127999589,61.538360095486716,62.08434395503388,65.74542392426365,63.40836808819935,59.97122925958465,63.305698493722815,65.88883566439182,61.130404466719845,60.78416710757757,57.611642722602674,59.411850792150105,58.493766840680216,54.659417232012245,51.10301546160259,47.31495687632598,44.68363158532062,41.017264566444794,40.7099505433645,41.93991053969597,43.649364201637525,47.985652241438984,47.001100952883355,52.60189587769901,52.942600588040314,54.576908089396575,54.676754206038694,56.98798329222921,54.81690125125224,55.69160741786465,52.967643635124986,54.24630446503912,52.21706284318136,49.918297014523176,51.59132706174104,50.67543605281205,50.45221918265936,51.31457076346092,48.73094540295131,50.419732035462665,46.33236251788419,43.66081794089029,39.52811532623421,38.02423145448893,34.472408680855125,37.248960310526584,34.77540766435122,34.68818799904834,39.2360663111042,38.5288727327359,42.35362459688859,40.8985585504292,45.62890185791368,41.243861183766406,43.252865220122274,43.80919161587349,39.66719355257514,38.3109485529761,34.28238651607714,35.71847714059545,31.775142965141807,34.29404873567832,33.783731102929636,35.379468294725804,38.05426495056571,39.95087100823505,43.02277765807659,39.912108453322205,37.18634060458985,34.089080693097245,33.639445000666306,31.758370438430166,29.256654744720787,32.84814155595146,30.2519030164819,35.158806333434825,37.32078247250947,41.56547122048115,42.0185728317129,45.51377139704286,47.62872486771724,47.32597194948482,44.972822864711674,41.19099191844841,40.02667156042689,39.31418168701787,38.39218216824847,40.53519439781471,42.551918795045346,46.80992046992551,44.76707692730672,42.65215077888443,45.56187787179166,42.6247276350318,39.93776652870741,37.75273570111765,36.85363918664627,32.607765122619384,32.81858588268347,29.529374313591287,32.33920388583079,28.517007396651653,30.825404676014287,33.657121658132624,33.776032263726904,35.65343255566099,37.64074844279608,38.949621588631345,41.061133857144426,43.43985748320414,43.40411198713102,47.447687434613144,49.167295592372646,47.62606665344071,49.69554057093299,52.02501959283319,49.11736964691252,45.864663019128656,45.48032695227595,43.673224960303486,46.37956722678353,46.32448178175617,46.36308484564128,46.072661159818956,43.95975714102164,48.701518913411185,49.81003900219846,50.44318399052279,50.26314419340675,45.9092258802111,50.90163899675548,53.84521112287406,51.73248408836873,54.775304943950594,53.75164678543737,57.92923693144956,57.69306735533417,58.248756884976856,58.91379307792123,56.09174998299729,54.71735115533298,51.978986397055884,51.46473612519687,51.0283403753413,46.29111765469672,46.142860710461825,42.686847243147355,40.32711121586839,41.319245512727754,38.61040064496653,36.11956516891828,36.78041659432232,37.034022841693016,32.62278459110728,31.619031339801605,33.635158532212664,32.515091625557126,27.59704022952904,28.482341458529287,29.08032503617916,25.20098480451034,23.71639033651598,26.59009711340902,28.93494048990435,31.159525088139272,35.444029529275596,35.57504519534069,36.74188270542649,42.01675604296282,42.4234587329416,46.98695651337831,47.949394905820746,47.30372783194185,49.72495421458782,47.85143360045737,52.70966627755759,51.547763152299574,46.74886277629564,50.032731736835615,53.81080028507089,50.258265995479675,48.730848319269626,52.56122882751755,52.621588084836695,48.28854150590692,48.712131254165634,44.28722646275324,46.096305832574906,47.896685853051025,45.225698081481475,46.25625519248063,46.60640694604765,44.36518329128002,42.10853114447436,41.42878830774226,40.49097057438522,37.42770985354588,36.154518685017166,35.350902460333046,32.464491839829186,30.96928670830094,34.34783556149207,32.373402765082076,27.769936017000756,30.616623953478012,33.93664463546167,35.11864775916959,38.7245398690255,39.55908001999735,43.563070075743056,41.01903555597992,37.381127491109375,42.231896129015084,43.25113179723512,40.160474831560194,41.01541363101096,46.45127253806488,44.78968492056956,40.89660379796498,44.47499690362636,48.326342214843095,45.72098320441153,42.95883892963768,38.5384429464511,42.13709501458428,38.23083068253745,36.528535571156695,32.408948104561205,32.03939152368444,27.65102735445873,28.814630111995868,31.915498968115955,35.5185671643588,36.90115119849166,36.97601323985224,34.330163917306386,37.3916379360972,33.8910182149305,30.468003146910924,32.42642725395226,31.306430815120056,30.574897046849564,28.574156536311918,26.454758887425168,24.876260677062483,24.885342102196997,21.646290605592757,19.71121584265026,20.921151179821145,21.50139652030763,24.034590449498655,24.332011119603102],[20.354727502564803,22.98833445132098,27.021770853098225,25.88117216474684,30.613599580653943,25.163164669367152,27.224751759457085,27.32651685096732,24.753494708728027,28.09500934695924,27.806019404650513,28.375951999468338,32.48105721311647,30.662272415798867,33.39555931166786,35.802033058358994,37.216109729861515,40.855998215611265,44.220349914095735,47.015801117822086,50.38781410985508,54.52288122600325,55.460713821973826,55.649765043820196,53.09944570635338,48.77670674202608,47.146518646165596,42.951442639089784,41.940492409171036,40.16854311561959,40.37993277044444,39.76270548718506,41.00967910186821,45.34825255291522,45.143555653911044,45.146287319444134,44.51741237626217,47.42329694055886,48.40117925535103,54.37518857834236,52.58993303619029,52.15593055868813,56.33180750726021,57.19079274145975,59.32952085270594,61.01251129040962,63.87059872603407,62.358086931303916,61.67746844323428,66.087735909867,66.20993649612333,66.63858101681504,66.09324053575489,61.55380521781037,61.768260198058144,65.31438551258498,63.073535592171545,59.4377453405119,62.54930945939532,65.29845229038916,60.53741059299227,59.804161764355264,56.42089069556478,58.331231854323434,57.77612193691772,53.90313560452594,50.31597947120499,46.37320526500529,43.93138499474097,39.9920982258907,39.86614116052281,40.87594699330315,42.3089625872684,46.82192827986999,45.62735997846741,50.95655762208587,51.659356143770054,52.940717310608676,53.36102757274768,55.977654486651524,53.8791906510129,55.17901120887082,52.395856651857045,54.076656535915625,52.30952747465054,49.61878476203553,51.082607846474666,49.75172151314805,49.47661170046108,49.74768286058703,47.16684373305591,48.50361546117142,44.36765880471577,41.61329171797212,37.7762499222506,35.89950227593617,32.71917795372535,35.41784159628858,33.148017320594555,32.8286026228844,37.80969233204231,37.508739981116406,41.536020615345,40.566000419222654,45.70083772911934,41.69651452210323,43.85765074658016,44.87659456003033,40.97709988391165,39.12201722934529,35.34026660401082,36.537828047630065,32.43143387025265,35.19721430525131,34.20858627732262,36.19278802722137,38.49617093566567,40.78258657120407,43.31000010406274,39.82257898390631,37.34939640692966,34.29134301809714,34.549520470035006,32.74470644347312,30.286353376446804,34.285217499515234,31.828345732648103,36.58841422783878,38.83757328041208,42.727102190499764,43.808986978922995,47.12402694579063,49.25307828395272,48.45165851028374,46.488495365703145,42.62674664579309,42.09458272317645,41.11920617185491,40.178027536183116,41.89274087906242,44.04406112725834,48.02055240269909,45.57011127006521,43.51585818792049,46.12088559554464,42.87720911782311,40.430494094736765,37.92337274825939,37.08611537146887,32.66753645117556,32.84703634779345,28.995851253022316,31.4538481735597,27.025317493979788,29.094228428217388,32.362226139494695,32.83155583700568,35.12704255095425,37.092697129358235,39.04098800458541,41.60815888825433,43.60931573605419,44.217530861956966,48.00160244772258,50.250768434769974,49.19206928112988,51.32582829967254,53.95658876942167,51.25656018242702,47.896796297152505,47.307383990470086,45.182232073003654,47.45182012192139,47.025599512199335,46.64999840681415,46.03957572239539,43.59035153617105,48.19003628024035,49.72607071048644,50.4763557995296,50.8134625311699,46.49291977630335,51.7726915125288,54.88692411798189,52.81871251314303,55.55084072166375,54.33262847658116,58.62469948649137,58.75271595247545,59.43981120743411,60.3721543399095,57.45470616739252,56.39462372685846,53.74830143499483,53.30740228931689,53.11387075363035,48.485922653192475,48.25943370242845,45.02161813521485,42.24309260983871,43.40011073803072,40.284573807707915,37.95968663985675,39.1794936914794,39.18352829260047,34.624485495110896,34.35199754129003,36.3260211695406,34.611284661405655,30.108358472898317,31.447248876748816,31.827428054304256,27.64170844953791,26.86200691339263,29.969726566612806,32.422170435081654,34.33509196841801,39.0839715797785,38.77494578295029,39.74948161640865,44.98192166028022,45.1325690400347,49.73715568451633,50.287829113826575,49.5546111471436,51.698203189730684,49.6038913820781,54.58979021681993,53.78983808200525,49.03714202724987,52.0496448795339,56.13616640247586,52.84667083406395,51.13355026234988,54.89046221416266,55.39975807780904,51.157825825813546,51.215860475671015,46.77170747690005,47.9648376236254,49.69486769330482,46.94283361845086,47.50350277781281,47.635389505594446,45.1373469040943,43.36792540973903,42.63052729497424,41.17370221141423,38.31938774695786,37.546379998281594,36.35312496810399,33.30279745398057,32.44247150989633,35.82483278098616,33.513036341168956,29.152876418091733,32.55690351954098,35.748181885772276,37.24120355788439,40.59881212786512,41.31527569716179,45.4770280030724,43.2866689592233,39.781604702504325,44.49369729390804,45.86821215151407,42.97813168083926,43.742560314113774,49.21312207705598,47.954988358560584,44.124032393445596,47.496910624460746,51.53581555812331,49.23549165120461,46.50577022699421,42.15203681395507,46.04933488491146,42.295583379452154,40.50764494666019,36.32402074471409,35.50295192378606,30.965862756251344,32.594607039845776,35.490581685223816,39.21960968541326,40.268261850317835,40.010132477326344,36.955275106183564,39.61825293503098,35.880743936226146,32.498670425345054,33.73530350575437,32.476415706835134,31.164600064016376,29.890285252479963,28.056461053340193,25.71215781962279,25.79880347339885,23.45757398423559,20.822094213460392,21.135330074735247,21.070037489080867,23.21629469477713,22.886261017360876],[23.520638354495997,26.404899101318925,30.73645253946097,29.631162771731102,34.63534298141534,29.404684529457413,31.583502903528153,31.80474133002606,29.195343287098186,32.420323655709865,32.062669468097845,32.71022151749903,36.81653042348532,34.812499976408255,37.496832008242336,40.014397870159996,41.40718673986557,44.93408029639793,48.14433217991802,51.09679204708371,54.353621547368384,58.56298272228135,59.37277692004816,59.52978786674054,57.10878483895477,52.74270660231287,51.26843215912359,47.10892226505972,46.158231208581576,44.47725680100695,44.454724397175525,44.02973786122338,45.13929813603725,49.41691076636311,49.35751506407469,49.355452389812314,48.863072628432,51.71327225809719,52.70915422251045,58.735701610380865,56.838638921624664,56.3289728388723,60.54132340142065,61.433698398728374,63.483466086334055,65.15111929319185,68.00281944863156,66.5740992266308,65.92742463813639,70.35220696299042,70.51073089282536,70.99671654194704,70.44187672085985,65.86991331684312,66.13068562457553,69.62658608964578,67.31827524377832,63.700746281278306,66.8020975933565,69.49491974559243,64.66767917231515,63.84344214148682,60.44804386339127,62.21401975339017,61.760772357608104,57.97020845432794,54.1991215799944,50.31927878025131,47.708112842482514,43.78183947151125,43.51194955773545,44.272300842138996,45.879811083201275,50.446304213681614,49.441806146761394,54.71103550793299,55.64007765183114,56.910670223632316,57.478257222143185,60.17799981228862,58.18731136417539,59.55206571963533,56.82755826662291,58.53653736329863,56.734065934290975,54.022939811247944,55.39285429621268,54.08101748307902,53.664613413775854,53.85059079363968,51.160720891225026,52.29366028771005,48.1784200180446,45.50632341519623,41.780477702438205,39.72390756526627,36.67234693046631,39.54881370164696,37.40689241337626,37.08403642155949,42.14867733299477,41.9323214755328,45.98527258708308,45.04947719184181,50.18530594080426,46.15481178679923,48.252929271111924,49.220108540042446,45.262283697982205,43.50072845408373,39.701587209555626,40.96068364921617,36.85684653447619,39.53397603485141,38.49610230234146,40.35064448837072,42.61950055798625,44.73708178500634,47.19300885956047,43.817147649969684,41.25837497777998,38.30824554565367,38.48537168025352,36.834953943522656,34.50315639742147,38.497148650567716,36.079090758063515,40.885218948087214,43.119445850253015,47.09627179589436,48.01583187468602,51.366719321112114,53.51780367084095,52.831415884502185,50.77711306572575,46.915524662204454,46.1929108287524,45.235444393870495,44.19303459000187,46.01996330974405,47.95559214646544,51.976028995863246,49.60511431465638,47.65086406395358,50.349194674980716,47.16753456630837,44.71953042464481,42.307073681940444,41.53691743765174,37.136121808654686,37.33746058168033,33.48173325209505,35.85263160962335,31.28269339012043,33.38028679143635,36.75088371311338,37.274295429675924,39.61065746548001,41.552983460434326,43.53112906216659,46.04276786736982,48.01482634960734,48.52141229385081,52.3558733875914,54.54035058015591,53.32315533325098,55.52452719772467,58.038611289110285,55.29912829185016,51.9375425055604,51.46063855081321,49.393808645025366,51.794033653487105,51.442676997888086,51.10489836911127,50.526837843807805,48.04817999211737,52.65726160479117,54.19464468633484,54.9652625136655,55.259024936006874,50.95390374437431,56.20108602352002,59.28750851699199,57.19629936084653,59.94392330990019,58.69317453343225,62.97042604663844,62.99585213447398,63.735432591517544,64.62629224576767,61.75514411891498,60.633845948971974,57.96978009446275,57.51056210240551,57.224548244276704,52.55381902955547,52.32182743596559,48.96339374913422,46.3277094898354,47.30325994735554,44.293726055502226,42.0157918933136,42.9668452480193,42.90525034034548,38.458711268547454,37.999782334459034,39.792452184264114,38.1209320327217,33.6507098324129,34.698695200976694,34.90786597383668,30.923543555225425,29.98057620431618,32.665969516257896,35.264335909992354,36.95915443805233,41.80163500753452,41.778666530228755,42.60612980942389,47.874001329420715,47.84058264292478,52.638059197830835,53.369037604039995,52.881322792832705,55.18092383663082,53.309749013674534,58.27740940472911,57.29093554305748,52.68990171389051,55.85603802417384,59.8081118719048,56.45015356489464,54.90939634884443,58.744100637822775,59.02635542171769,54.74902083071981,55.09144135870292,50.58220948638265,52.02660442451295,53.69389584173601,50.83770764470579,51.50355278467312,51.495788405077526,49.189013152287586,47.39077763015714,46.40995366393314,45.054754274466596,42.35663792427512,41.36731851471205,40.02529926231405,37.028512619172595,36.11449711588589,39.21992242883856,36.79607070216259,32.50441899808487,35.686113383786186,38.71562285064053,40.33588646076708,43.84169462726299,44.84046166657283,48.893713433339784,46.4290533677806,43.14904189619393,47.996157344751126,49.110707296907236,46.16441925428714,47.20894044305929,52.558944720058015,51.01553162286889,47.333706842838595,50.91989851419748,54.73037292407281,52.21733766219593,49.57725308419829,45.23003844640243,48.84138758594556,44.99921122435016,43.11570131428549,39.147959037100726,38.65103190682682,34.27647051029402,35.64401777371452,38.72218161039097,42.354535409405656,43.6724375171893,43.55977977408257,40.79021439222109,43.62514551407088,40.00736234045095,36.54780493718503,37.93830305636753,36.572439856922465,35.4571702298022,34.138282273797955,32.06649333223684,29.86008150904762,30.14763956903728,27.511745235047538,24.838689780880312,25.391179176744153,25.43922547151,27.61298502170496,27.16084547014517],[21.033822100123178,24.20472943790569,28.802250599514565,28.270455154950994,33.455220948862795,28.524159428042122,31.184311175791617,31.557731347171575,29.486966961997624,33.061865912375936,33.11141977604537,33.653443323391,37.627466976357795,35.929634238621766,38.90442093926084,41.20801063783874,42.446616398731784,46.241305365179386,49.53736626654466,52.308663186599006,55.714150474533454,59.8037275855228,60.72760982858776,60.75558181247103,58.162052313829406,53.863664060315244,52.15241195960578,47.96096242552676,47.14186359506426,45.380845820183964,45.95089891379728,45.11806340602504,46.5000963402348,50.91619247514395,50.56843415529034,50.54000679273217,49.69864790773484,52.54320175188131,53.33132691620588,59.2088097038012,57.37187571659235,57.24782759763182,61.44376377739448,62.101914279155466,64.20434264715117,65.70748234480712,68.67793119871364,67.26945359094914,66.33138847136377,70.74238271156149,71.05577403579431,71.42570093905474,71.01243253736634,66.4756585311884,66.75552248509089,70.42586740405291,68.2334567187795,64.64701733297647,67.82987967389703,70.58826252795407,65.88345106198987,65.3177175804684,61.98754897950364,63.928960749565825,63.23246145916548,59.33977371106217,55.82146839451341,51.912804452606906,49.43263515403778,45.580521910563654,45.3940465378935,46.44954332432146,47.99511293335323,52.463109479064954,51.30907697613946,56.698368964196796,57.268804024881554,58.59274511146496,58.883316425456435,61.38060847954444,59.127603084469335,60.23148577557806,57.30200803950622,58.78086657475356,57.000440419935074,54.54372248667622,56.24057851982971,54.96677099797454,54.890280777311254,55.29276477312647,52.80573295042233,54.258132160110435,50.11722935032314,47.31623389452759,43.42641230616073,41.649384230775034,38.40762313372147,40.928954029385665,38.4812988727739,37.84144550617614,42.90584102948931,42.105088903381414,46.31308796680829,44.85714282881943,49.79112330733917,45.52648126969069,47.28811522032909,48.082040346282255,43.99512252832363,42.487355692583826,38.726759011203924,40.44474094645217,36.6021401033377,39.417318164964534,38.90689139449347,40.73623273029509,43.322298390317115,45.422192812349856,48.31095012691691,45.00003345067919,42.40858747613321,39.29926294401863,39.1291244362907,37.19507810885271,34.578743900898345,38.158947773789684,35.20056682215948,40.13587256075388,42.11452303902077,46.233487256882384,46.809769154542316,50.07106694985011,52.44766020159384,51.96343515617552,49.96010282462469,46.29387459850609,45.2278454819565,44.71262078366326,43.94470841354076,46.00345472297006,48.182694192310045,52.38292520961981,50.20749643364006,48.049532410873056,50.80468796502609,47.695642112978256,45.08990325198557,42.65088407492031,41.58645211440008,37.20942440883603,37.046986145395415,33.45269100247069,35.65141775159934,31.23614963219724,33.80202789103735,37.06761762090256,37.69218187836602,39.62631594095208,41.909190385813126,43.364672361686125,45.906140647819385,48.29847547126698,48.610669892510174,52.52549890984329,54.41786307934661,53.08166569340503,55.00890872695443,57.448922656364275,54.47747552371078,51.307394230599336,50.78509204021133,48.99675279064906,51.496115117654654,51.24228243152068,51.10448692989381,50.513342791828975,48.376426582634224,52.8843702299568,54.354673344502174,54.88653667277191,55.066618776960006,50.51130389889799,55.592874876602544,58.64680722038045,56.69280691703579,59.78922436898616,58.82798252648823,63.059906653355604,63.012358804955674,63.47138769272741,64.16047482399493,61.22557236499317,59.83439733429659,57.025513091591485,56.366820909489114,55.81376383631871,51.13357069362551,50.699653048527935,47.131232844594635,44.65694566569203,45.247392862017726,42.38597882975065,40.26209338001247,40.82345724905026,40.58191869583171,36.32392200771832,35.797392529437694,37.240524840849744,35.556008791891074,31.217607644748814,31.994009047931804,31.964051928498314,28.194000851962556,27.2355284139809,29.524303914678608,32.28231590735754,33.67280369615952,38.719282031031554,38.80674730280057,39.44385810620479,44.70856342213646,44.52982609576166,49.44494125555907,50.32158165506011,50.05202393908747,52.51147508259863,50.91053264557662,55.8328426317336,54.62717973114917,50.235845770015096,53.582202870694445,57.36232463595139,53.97902513041399,52.676910539699655,56.624717807207304,56.67889837185071,52.40930953079972,53.173963837623596,48.486619426807835,50.23281523947786,51.73446058361904,48.70398213648804,49.56389370232234,49.41677159897697,47.440370796157914,45.500777535756754,44.2104807677807,43.12603757789764,40.57866257667124,39.20329924549402,37.78717042576624,34.90801391449861,33.79487327557155,36.6072342030029,34.18975086267984,29.918672944772144,32.79212308167835,35.705321773579655,37.36585171923308,41.005035659594206,42.273817086881756,46.185693740466995,43.456475827816035,40.405862498033265,45.36857157925608,46.223999920763006,43.261917062009,44.61962586273308,49.796448384083995,48.046881778556944,44.596785200070244,48.37792687188032,51.930510185213926,49.32200682394992,46.8527288033677,42.61014517195519,46.06022646271904,42.31379948453853,40.156368314515404,36.477309596231045,36.048343757960204,31.89143822199393,33.31985839395913,36.4966731006279,40.06603698158737,41.558277202096804,41.342573115291216,39.009220794303204,41.97110165774884,38.71510320400171,34.94037004257174,36.46399169491779,34.878549835826504,34.24930528864869,32.84367126553253,30.260267932350004,28.3630489171617,29.179208545330756,25.94200522753118,23.160743352729078,24.293878835821797,24.85111263659727,27.411713962714934,27.274649393122683],[22.114663715109433,25.50189993636122,30.10468999710216,30.365058846111353,35.36471330579195,30.399659174414168,33.248778675613984,33.264248199949776,31.658695900439042,35.564144588633326,35.61967763667835,35.70570447631455,39.94645476281768,38.69033569459752,41.488476379296564,43.590633896544986,45.087975943866695,48.979945176327355,52.55424004679265,55.07796287125101,58.641935875503634,62.62296041953309,63.745871056233426,63.868472610241,61.114414718693936,56.888216845967236,54.95453666900684,50.71438120376446,49.70149278366566,47.64166500254504,48.36403246130596,47.09802312577877,48.36701599000928,52.926941053485734,52.611422600239,52.85673088685778,51.72021692623879,54.91369049696235,55.72890432390538,61.4301444695814,59.91166951390895,59.90922689457862,64.00180400525997,64.61756813045282,66.89203654030518,68.39675208443623,71.37792993777747,69.81562880622863,68.7842348620841,73.14959955724342,73.38424718924495,73.58149423684485,73.16676809551416,68.7753438323255,68.81880405080497,72.59299362533619,70.62446749081936,66.93744940136703,70.02315370630993,72.97785205169126,68.43624431645347,67.86559398512702,64.45726323046875,66.67238233118943,65.9903516608663,61.97271489128996,58.72671961448887,54.69452917587374,52.50504383063575,48.56235961188781,48.58952399450273,49.7712169197043,51.051719137148005,55.5185295988074,54.06202456693313,59.33192887094541,59.792629793115026,60.881897473164834,61.114613300851886,63.608504273486524,61.1119253688652,62.23624650427135,59.018562522178605,60.52771872417786,58.99450146543952,56.55769311841647,58.47625106867844,56.92288513072292,57.21271083322591,57.38331577535386,55.15296422468534,56.66326123179126,52.48758919600722,49.49959156941277,45.712320147198554,43.965949596654646,40.857865820068184,42.87376486120684,40.26354411951189,39.026369809138785,44.39366800701127,43.18291386938544,47.7235196567545,45.99812185440183,50.95196749806615,46.71969300486355,48.12350538145255,49.050827401474216,45.00894136315783,43.46881503368293,39.99404575867101,42.12130216398906,38.53227216560214,41.6638828000946,41.44793010037889,43.49680623591735,46.16898789036164,48.494853090711096,51.470893400328784,47.99502673972842,45.55531434419618,42.328339787728574,42.245680325419215,40.06737310167611,37.182963530882155,40.51701006428636,37.01330844892312,41.96412633031562,43.65937586003129,47.6675684913646,48.25985610830322,51.24236471756801,53.92321747692648,53.32578674888351,51.69987513578898,48.24616698949942,47.2025573101619,47.05550133263857,46.603757275055656,48.63714645819385,51.17174180633912,55.372388212682324,53.14911847992127,50.8143472992577,53.408145090476864,50.18146077532283,47.5812340331621,44.89755176210285,43.528945517102464,39.10127795167121,38.44742245545499,34.81019633407137,36.432164009195134,31.778994160441265,34.73203358571169,38.17948511727534,39.22630987133585,40.94925645246284,43.62787073840809,44.90412257252625,47.81540178618035,50.42645471267848,50.976153763936544,54.77636515462698,56.69333067868134,55.56131962676987,57.192524404869616,59.74535766162547,56.64163517180099,53.64570888947228,52.926938731835406,51.266294476485925,53.56037947355504,53.15193179960206,52.949033693802704,52.090332792502394,50.13816600910699,54.36132181977698,56.08823104630646,56.40164060302184,56.848074962621055,52.020709996495135,57.081643328767775,60.21303279470632,58.4809447474901,61.77108400417221,61.025554512332,65.27069409246224,65.40851673531967,65.62033084405104,66.25140484223701,63.17167044160134,61.676397698906264,58.75748373730983,57.89260690461938,57.16610251417844,52.573498201562835,51.8078973526073,48.13241858614858,45.57682687588957,45.736962961038444,42.78357866476702,41.03781794419465,41.46868990508395,40.75950927240623,36.70685064931527,36.653256239469336,37.5358506428014,35.35808519447035,31.61597084897802,32.3246491802927,31.745563749940594,28.12277273377363,27.70833681147795,29.52771411929733,32.58593367163542,33.22141363823256,38.91936162005752,38.84099926869199,39.007026128426574,44.19681874097756,43.537460051418954,48.671893750550225,49.41902864372904,49.44333726177056,51.906367975805004,50.5552288264394,55.493844086226346,54.26193307158488,50.26430665073026,53.6422919855661,57.40149215505757,54.21127860612939,53.12350083021058,57.16472288870449,57.23787216941593,53.06644607674271,54.154684763432776,49.21975822016756,50.90460300672912,52.096658403318436,48.749973439246645,49.49195776378025,48.92297895151211,47.25045650915961,45.54608372628829,43.720696295797914,42.59961510509493,40.51596430973515,38.992128744541645,37.110323876541905,34.31101214274836,33.47036452706265,35.757839313027254,33.05212712572363,29.123362229936625,31.938430869657417,34.48429300492956,36.494526179739466,40.100548025667266,41.708309227285305,45.49878097636195,42.663210424455876,40.133756321408505,45.12875836028099,45.864622428065644,43.06487055514335,44.83151456807178,49.73862325209031,48.00003392605242,44.977366049720786,48.8745945653284,52.16558352131256,49.654891013271914,47.4786659051213,43.4595808200758,46.86576328955578,43.37950118562896,40.779848028557815,37.50247991914278,36.86073695691156,32.94596862007281,34.75910477219729,37.908221286725954,41.45351208601292,42.949332245463175,42.35721108934379,40.34649850158248,43.16990702140524,40.25336456430217,36.11803100825256,37.256730281781614,35.255640023593344,34.86984922836476,33.941881821516134,30.8907067512396,28.869500421862405,30.479498231527508,27.14228887712391,23.75145705246559,24.990380604579677,25.737988594895103,28.428520063107673,28.186989983190198],[19.865624451947443,23.41804317930644,28.16244076658758,28.964784067966306,34.04490437969268,29.5481416073045,32.8004146042119,33.04664930024102,31.958505574282434,36.06033820519434,36.526686263691666,36.60970546982666,40.57634335320308,39.556912438211555,42.649415781086645,44.55159574717991,45.81181853637926,49.91755494705052,53.48889685053554,55.85628065539731,59.51662909031936,63.36937597645699,64.56473565592982,64.53203691336529,61.64505703588643,57.504992420104145,55.38371829265472,51.15814948255223,50.33393391616342,48.27918175404381,49.58010383892028,48.00380252913637,49.57753797411526,54.207138865699065,53.577894403358215,53.72702986919121,52.29825191818627,55.377036042655526,55.95802372674155,61.49141859727222,59.982256362532034,60.36578314464439,64.43562054197119,64.80450752324337,67.08666631332609,68.4062224807522,71.49563867941559,69.99361702957273,68.67399528361315,73.00974948214326,73.4278718210674,73.53488748659746,73.27765040256416,68.91785780355023,69.03403083948396,72.95136147284123,71.06931633485999,67.46201160697434,70.6378252476537,73.59998690740436,69.18041451623522,68.89230945082693,65.5902196585651,67.91803301708191,66.97657125437503,62.90073547767127,59.88139206976289,55.87341087072531,53.77067250108934,49.95534545852112,50.02229168518541,51.46786516549787,52.733416917012164,57.07061361090755,55.53822252901942,60.930091279161516,61.034705667068046,62.23173982617995,62.17998406098244,64.44192270714142,61.73551965651439,62.56376628289676,59.21359781529964,60.45272461687935,58.90014555786505,56.75437001348927,58.95999043977116,57.524536059560944,58.090629791856024,58.548357990816896,56.48602525245187,58.31010302654496,54.144027515394626,51.09211776672121,47.14303132840103,45.69550097785906,42.39416318595415,44.14693294811289,41.29331631488431,39.89301010177993,45.10057387060659,43.3704830042029,47.939938659420676,45.72528460530894,50.38809152780843,45.93958410035693,47.02144194165543,47.71373869863801,43.56781035459725,42.34417804561177,38.91362433747837,41.43394365915787,38.14388178930946,41.30571037457601,41.59134496201182,43.541247412452705,46.48946602917129,48.72838679329318,52.10247815503073,48.75944386526589,46.282336473453945,42.95784132307489,42.50954690391943,40.120142719126854,37.04475603578092,39.92404830687493,35.99951401435977,40.996064030569926,42.434020337835626,46.56466468308683,46.76568854026996,49.66464546128248,52.512974980865685,52.167824406806034,50.543125379598536,47.303822274912925,45.898265808664,46.168290866062435,45.96213781803545,48.21647428896046,50.91827646255741,55.264599744277454,53.27304116548232,50.781214379975154,53.439303592620355,50.344728488464135,47.606443350610526,44.97890025964706,43.37906419147858,39.06170188845929,38.129407983634685,34.865568320566084,36.396358440726374,32.083886059161266,35.38448536283809,38.60094612620339,39.635190379340926,40.940789846205554,43.856430663811615,44.58578602332896,47.41339301847139,50.40114630078597,50.689439180190284,54.55977596113819,56.14116873592859,54.85581918884924,56.23005863527578,58.66313415171886,55.35890959669162,52.56886595380706,51.840468567823336,50.47466165957407,52.88861412556943,52.620160607769556,52.65040929757607,51.844344969591496,50.24468794865519,54.3804986740609,55.95918178040798,56.056172251818,56.31623561822837,51.31735707859116,56.150735842436596,59.20484823130677,57.59315544808591,61.19949593550039,60.729581594595786,64.8939895623448,64.91726196243553,64.87164670544121,65.28986395226818,62.18758743917035,60.42984980749924,57.39532259707681,56.35540633126635,55.37080946713163,50.79498614613967,49.869399130065524,46.01538423427937,43.68694572964491,43.478034586208125,40.75098757417514,39.1422551345321,39.13747422723424,38.30327482295977,34.50382528749356,34.30132713590946,34.837017081703564,32.75313298051093,29.156294081565306,29.53109419223459,28.73783602722594,25.442734944355898,24.963244674681434,26.29469518524106,29.462136294712124,29.796709720902044,35.59632628317726,35.66407535770618,35.664884386952714,40.81941415681809,40.07133621665078,45.276881559796436,46.20979036446082,46.43936625439553,49.076436440247456,48.005659970742364,52.85297325808825,51.377683141060295,47.58110439723974,51.13552535337045,54.674782958410496,51.44218485888381,50.59802464386592,54.722572504206504,54.53361330621868,50.385850690664576,51.885896446695476,46.83676033683634,48.85929053343261,49.9089986703474,46.450866188294825,47.437422265174106,46.797532847989366,45.46914960740227,43.5679931821746,41.50142352772809,40.72929211746613,38.7583559664879,36.82166486371668,34.969062782128276,32.348617258514295,31.22395035084471,33.201728164519615,30.601778181443294,26.712837639607915,29.0833792597257,31.5078930393916,33.48346377440593,37.22221842184569,39.08149832630906,42.68627332094438,39.57407364407006,37.256983679339186,42.333766112205865,42.77649796188649,39.956628134426126,42.00910951489312,46.71562718535632,44.752139429270564,41.96044204793617,46.026509176417676,49.037848941560945,46.426493511328424,44.42204584773377,40.53566311632185,43.736115196932936,40.371171057858554,37.53842859338215,34.590947395535004,34.05163703506044,30.437927418573018,32.249847518779866,35.44610857765784,38.86783099578387,40.530751984181684,39.87676480731767,38.34253166061966,41.28514768112934,38.76646440816691,34.413634743025675,35.747101265859655,33.6053888628651,33.752246509819216,32.657091348210486,29.16792950873071,27.594918733314184,29.6232697874349,25.73323299531783,22.4470748807336,24.30017609968024,25.55918127793435,28.5442205751574,28.676197133829554],[23.631627264776107,27.216105608247222,32.05786008556185,32.76365428044991,37.99218367492025,33.60355091957653,36.847169887721094,37.15105985181369,35.917128317919236,39.91879444299211,40.27928362239833,40.4322875517431,44.455657711993865,43.26182501895594,46.30854230283413,48.325947440244164,49.60327404833025,53.62762003375585,57.107996014522996,59.60876433849594,63.19239831062519,67.12014342830676,68.22246069801928,68.17682077285973,65.38504892273606,61.19519117894206,59.19430078481604,54.97902615069884,54.17571150688311,52.17758162472812,53.25951344275655,51.84550610916735,53.29990845518241,57.897399975144275,57.398719417456235,57.55395222879689,56.24604640832078,59.305484931215666,59.922468827840454,65.52155123940643,63.926332470361224,64.22507908861076,68.33266044310773,68.7502376346254,70.97269502167502,72.29633578267834,75.37851859706909,73.93018153420404,72.65198652741323,77.0051763288599,77.43687676211242,77.59022665754533,77.3145018443099,72.92013416956776,73.06409681580537,76.94810337822652,75.00904642483304,71.39593357457991,74.56816621973618,77.50215163666128,73.01295143707654,72.63672883758028,69.30751252850425,71.53157524561217,70.68146019939391,66.65578567355067,63.47788771250409,59.495280586015724,57.259660439779545,53.422806737490376,53.386899355388366,54.65067293574244,56.04084363053984,60.447141081278595,59.04260593960385,64.40255332960794,64.69538490949613,65.87749351334914,65.95309402956562,68.29984690040939,65.67983242495828,66.58216808682432,63.278684428267425,64.56221179227923,62.984005312918526,60.79394762397425,62.91126665535392,61.474926967556996,61.91759146177426,62.290219489918066,60.12961615395618,61.79168521749152,57.62101025397152,54.61674740923448,50.73911131376933,49.129938552752144,45.911530365797574,47.83494459988989,45.08677089540379,43.71669550882308,49.01191300930137,47.409564198001426,51.99450089382191,49.8615687085412,54.55489692816368,50.11675544917098,51.18551308644673,51.85871143272792,47.69460814272925,46.51233904988541,43.07169120182702,45.57047926182691,42.233812638726924,45.324504556460724,45.50379225185359,47.37968294423756,50.28141433951887,52.41737700387954,55.71623339161313,52.422907457336734,49.878296723172426,46.621201076586615,46.15934955369694,43.896975512844456,40.93164277726597,43.88280471599941,40.06530177559824,45.07370234701546,46.5316852862511,50.70437959300118,50.81977369773582,53.745354457618724,56.58785430697613,56.31034984244957,54.61796656789782,51.36091146579108,49.85148794989905,50.088598105387625,49.78070432863937,52.095914608618095,54.62801020096273,59.00089565150518,57.042823250884936,54.632026772067185,57.35765469443159,54.28768942657111,51.55490057466834,48.983544910644575,47.4622800114873,43.13291556449423,42.27265535371207,38.9470714287052,40.456476581508944,36.01161685612547,39.258278896087184,42.57688483277053,43.63852190697619,45.039691058315654,47.90360931587949,48.72741655139871,51.51989661753945,54.448718804298295,54.6890873807153,58.59690040353489,60.16063449394201,58.770104239942256,60.21431642458402,62.56565434400762,59.247680792941736,56.4454661543608,55.80382314508422,54.45576820224329,56.95719452171219,56.73185272831282,56.76797809030799,55.98066358751754,54.319237354168834,58.48105439150766,60.0754218894242,60.2063283900044,60.45158774867021,55.47977159231177,60.30632425637182,63.343075307338985,61.70673591386727,65.30109415950085,64.78651325669104,68.95018295051405,68.90787587854497,68.91674736562614,69.3145496545745,66.25012273004064,64.46103549812642,61.42406598778727,60.38290754659516,59.344887584425805,54.75018572024572,53.835522661810394,49.92092979181689,47.702349756243585,47.383986688775586,44.747549904072415,43.17301454657121,42.998603635092024,42.13451897106583,38.452082186878435,38.11129568606386,38.528455360284774,36.512466438413995,32.99427039227134,33.155688780073945,32.259550479972184,29.200918729697587,28.59254064394423,29.56552399176037,32.76252416765471,32.90485482998489,38.662871982709746,38.9753455276148,38.846281805796465,43.94105145254061,43.029375350798276,48.33334121764857,49.4111796940795,49.85790931647696,52.5953366884211,51.71790327172867,56.512479750049,54.89965710449781,51.266716065697736,54.91084864807908,58.32012926916003,55.06095140490346,54.35942551425741,58.51860395405811,58.15272226043031,54.00473654363021,55.71230677065185,50.648918058249464,52.83687842442728,53.836562424963525,50.32455555199307,51.369865213400374,50.620103348974936,49.43617555697905,47.544873936074744,45.317622285913295,44.60805728156787,42.77279176669367,40.72875093088101,38.780644436137514,36.23075544712794,35.11275770925902,36.85048433543843,34.200849780111774,30.473268195449556,32.62650884870274,34.84684297012258,36.89821328421963,40.685974592365035,42.74676568562394,46.21799752351226,42.92267177201202,40.83736299913458,45.95093891122364,46.1764356514273,43.35114346549625,45.60654258152668,50.1620256683553,47.979106734756044,45.350458344547306,49.54636684488718,52.33817854004408,49.571669483199905,47.668889294563854,43.83102228393233,46.75241953963729,43.34882375122922,40.47687925611593,37.755340066412806,37.49497266187475,34.05224786908388,35.61204591219604,38.905995778677436,42.214434698163494,44.06947463060615,43.54693327326992,42.21092502831723,45.254033340134136,42.794637994217545,38.45227480099019,39.87492311325528,37.70417546136726,37.91360928064916,36.80342213550665,33.26524712572248,31.753581676652324,33.78524153327738,29.836818960169907,26.608498773197383,28.461368305702695,29.656534174682083,32.57964452498342,32.57055372389984],[23.66631029914151,27.067387230100557,31.89171168437775,31.737202085606995,37.09539338230062,32.4753259240411,35.391920153481266,35.84310548350986,34.00480809230079,37.66564628952112,37.80847904573559,38.29764659945381,42.268479632066146,40.62106602711533,43.640649910709364,45.914265587993626,47.12163068395675,50.95385526417886,54.216974270441845,56.99338363641918,60.399192130016985,64.48024359929536,65.38594659176289,65.35047114849836,62.75813884222388,58.46734167013874,56.74205997600318,52.55772290631381,51.80269164718491,50.029679763123234,50.68187306946136,49.76371668415248,51.13518011457194,55.586154457148844,55.236039372143566,55.23613573149789,54.311163546797005,57.16744176051417,57.8899539072712,63.716361058088516,61.870456338338755,61.866821660195036,66.06682452722379,66.64866655821741,68.73289371538942,70.15331103335066,73.16639855865839,71.80754649574165,70.75784242598546,75.16244502790917,75.55681632165721,75.89462581275637,75.535845119395,71.00972014618645,71.30137222253543,75.02303475787537,72.86180422686166,69.28883977566517,72.48359194213045,75.25579787112237,70.57661132884576,70.04827518811155,66.72235797604831,68.67081992649149,67.95410009051669,64.05936346925759,60.54784624689269,56.65157062584341,54.144362679897995,50.31327768315925,50.090132642611415,51.10500485371122,52.70958654367932,57.18077292428632,56.05656865665524,61.43456240797399,62.01061923949868,63.31236918658944,63.590875233922596,66.06841830160234,63.75042405302779,64.7991056048216,61.78649058629815,63.19585848926828,61.436843123370835,59.07265996095328,60.865931171480526,59.57796651526689,59.590190229133476,59.98069569867748,57.53271548668125,58.97299711268585,54.82741948090101,52.00332513626564,48.14209992476166,46.345826157568226,43.1391895538602,45.579363406141,43.08266157338957,42.235304444487866,47.40246828257078,46.380136228776045,50.711034895891714,49.03837771151708,53.88516283195701,49.52446567180504,51.04123408935078,51.74066764903958,47.58249778815105,46.25130541149949,42.55727938518366,44.55219809477583,40.862556489795445,43.70635797603047,43.40398323580312,45.16331355237908,47.854613061203445,49.85792774901783,52.875780678199135,49.645555425757266,47.005477766514225,43.895662733944754,43.55440788418729,41.58994216035427,38.92463659919402,42.297383254504254,39.09524710027231,44.08582563580745,45.89728456001938,50.10339477086223,50.414156848550576,53.60783635717596,56.13489374145692,55.808550128489394,53.82156411304397,50.280418886629796,48.93884894031124,48.67663669254448,47.99634846212089,50.219854283019956,52.38700496954576,56.68469882202548,54.643450403937585,52.45332913520549,55.27155840086007,52.22120949912743,49.55654458636435,47.14054036078749,45.96736187507701,41.61183077981634,41.25743310997765,37.75859444867526,39.74181425041564,35.26714942822552,38.064877991924966,41.385053336727,42.14635922116577,43.9268003989729,46.37732505624028,47.62597641903083,50.18930874233137,52.755991935620344,52.95275815862579,56.91437467564076,58.63939453323752,57.16859393446568,58.98067240453276,61.3092962288828,58.19624709089122,55.14520355759425,54.66114414424364,53.05782830115442,55.65812753619802,55.477128161725574,55.43859078531493,54.82580619037537,52.83333439626222,57.26158521260839,58.74252934938652,59.15825750992427,59.29997080466708,54.620468429556986,59.59386660286904,62.618188341801236,60.74325089744775,64.02261628929037,63.192183909117155,67.39012558381071,67.26684160236996,67.60667452710346,68.16439932692634,65.22238626928225,63.65275867238561,60.757344002568516,59.96806229930493,59.20085849748086,54.515355088789484,53.94082194020204,50.190328682283194,47.90234826056562,48.1137430082515,45.40935538432641,43.46256500369207,43.62238987715506,43.18141740739065,39.173506733150106,38.55030638296401,39.59146509654399,37.88501532855262,33.79111095929361,34.19197270418165,33.83097797210276,30.42612802448686,29.435509869932677,31.064429047355787,34.005428236764345,34.92053265619426,40.16316552985796,40.52048200321494,40.86001641458711,46.07674531128644,45.591028415618645,50.717971357449485,51.79523301351577,51.88563788686702,54.53321179446198,53.29203958308286,58.14817240337132,56.68914711217762,52.612280129350765,56.149815867060504,59.713556632203655,56.31262058956287,55.3030818956818,59.358428626192996,59.123736310221375,54.86991334549606,56.10248689013626,51.274188449152774,53.33424851970102,54.65699662357614,51.43566326006896,52.44242630340581,52.05795857712002,50.43931603053497,48.46415185623671,46.7736177969251,45.89324303503965,43.6242584851854,41.90639514213215,40.286077764682915,37.549203711214474,36.36690499509874,38.70724274826041,36.195787971710715,32.1210360874127,34.608996088796474,37.225242580620865,39.03893712090989,42.809907116956396,44.47372498196146,48.17323523772382,45.10121487056378,42.462003332357206,47.54094637988965,48.032034456580796,45.07113608241074,46.856039368690524,51.76420268729949,49.692306130833316,46.577689927820884,50.61045429329849,53.78148126648947,50.98228145420125,48.73897445800654,44.62931404313924,47.71832428803953,44.022670928727784,41.611630724183634,38.36823718596919,38.21317664155709,34.38869376898359,35.66838821623148,38.98389035250119,42.39672572719201,44.17026534342649,43.97038309180002,42.12349692388199,45.22550527233034,42.28645989286475,38.30586028216829,39.92511732408278,38.12587425274667,37.87235427692635,36.48720783811427,33.49566598964273,31.826121150741866,33.08113921288958,29.453586138227905,26.57580380600546,28.06317189593811,28.878884798038644,31.57987941719149,31.45610289045309],[18.621456126778572,22.037339043946186,26.975930459111332,26.892018560924853,32.400486036101384,28.22359511431885,31.44457962904025,32.31799876888213,30.80398432625685,34.53181422883131,35.15049440270747,35.851152354115285,39.36607813706159,37.80923594120853,41.25345978700564,43.37075148135853,44.184548555860964,48.2280022150263,51.38616665773179,54.06559589813959,57.52590916887749,61.494473901628126,62.41688062944806,62.17730884434172,59.48318519883658,55.26629605364463,53.40532864340596,49.25643075551381,48.79183598824116,47.15914047280041,48.434650823117806,47.34977059263763,49.15349205632846,53.61541561836252,52.86117062067553,52.610794993427305,51.488326249297515,54.04377772686743,54.494373905347786,60.21700943885596,58.24511091213105,58.61171982850198,62.82752546278574,63.152733912179045,65.17862540221691,66.40773105033448,69.52951069194414,68.29110364048528,66.97634447752809,71.36956839428024,71.99110803539452,72.31077041847591,72.1235645286793,67.56786778526808,68.05071875174275,71.87368865250237,69.70536559217919,66.27122653238983,69.6127623238311,72.29954596498857,67.692025234322,67.50273480546122,64.34094714163918,66.31348985179164,65.27306929797315,61.35924057406051,58.01712866317375,54.198754057037505,51.69773130992033,48.05929900818826,47.81950431312033,49.1459811462374,50.803647875573404,55.102062294397335,53.98858838074661,59.5754208741099,59.74175107508459,61.287723736157716,61.239952113853086,63.439213495623555,60.997112722605614,61.69623374592331,58.688765818745715,59.787622592021435,57.8806603182296,55.82211305148359,57.827274500744586,56.8146064364879,56.96975654015246,57.82386550637284,55.46069182759058,57.27936004958985,53.16347069274997,50.34565104703795,46.22555460230144,44.80494026471015,41.285544904685324,43.636263471636575,40.92612857810646,40.228955960018624,45.02477550467962,43.65425930084582,47.81501910927997,45.77214874565725,50.304357184665584,45.70383098637476,47.12529026995835,47.52034923158969,43.24424431989235,42.227119453665836,38.40749960399728,40.556020407039135,37.038682220048756,39.762913547618865,39.858677730154426,41.42999949479399,44.386406366930224,46.22843569929131,49.655517998562964,46.62496234013039,43.89766955749429,40.711772458686845,39.94468581328743,37.82906029412584,35.059611713726845,38.07472758327047,34.71844405882728,39.742887809066644,41.46071862707569,45.835535751945244,45.78766805525162,49.055570017418496,51.56564639903585,51.525493453521,49.34697315852791,45.90304801159924,44.230940301880516,44.18860335301472,43.62413771603331,46.06232873100572,48.288070684345165,52.72787864227936,50.934106211038085,48.63758877703114,51.58019770579016,48.717976554754216,45.904098185033,43.655238116456424,42.38336703735165,38.173718493852036,37.793706756749835,34.723647334295954,36.964011877907204,33.0246969975898,35.96575311228722,38.90349565465102,39.39901456485755,40.83724269899548,43.32217886919342,44.079070015943515,46.35832756525775,49.210202648287016,49.02889786612588,53.11044002481324,54.490483282834845,52.796766360169485,54.487297421199855,56.67190024051929,53.43754352853716,50.495133323951784,50.07389765308122,48.68473995565924,51.484569336968335,51.513285674511174,51.7444780823719,51.33041284873392,49.616331129451986,54.10466063696808,55.28371165173582,55.591109249729556,55.39888759709302,50.694208189925504,55.4553802094139,58.36476385186354,56.49215309619245,59.98300883548696,59.329926029110474,63.44020938645031,63.12431847622309,63.31747155475624,63.705178101145556,60.802737820819495,59.04934776874825,56.10561957644915,55.26539479492725,54.37359875372743,49.66127781122022,49.12735467405762,45.29768127650046,43.23395630358036,43.410225391307065,40.946404888197804,38.877071676759236,38.77400021060805,38.53432543699419,34.59060005064856,33.56861740091332,34.70230016718167,33.39756546084091,29.010213896507185,29.226034093105465,29.096585144053577,25.813805593781886,24.41693640105671,26.06926909447373,28.87898908486407,30.132035361307658,35.01816107260382,35.51877107228465,36.085152889112095,41.33135081047244,41.17554772040856,46.148952427408766,47.41167055785738,47.400933126171964,50.15682503957985,48.93295526433356,53.705503740345456,52.099227461667994,47.89227721416211,51.529746016199255,54.95093553026838,51.4043641558486,50.42752632719234,54.484332278762615,54.068651178470425,49.77687334633388,51.10905949057071,46.334319993795006,48.68278379235211,50.08420978816779,46.987048492499646,48.27319199863562,48.14163298845431,46.593403429843036,44.28200643289224,42.78473801844584,42.23087742203656,39.71812936659863,37.758603884855994,36.52252731384079,33.88130626750161,32.254615464528335,34.7548632992836,32.57488875547082,28.26414831773316,30.457474971302776,33.28822792656796,34.78080409304389,38.6558056711124,40.22867186758049,43.88063497001707,40.71633868330017,37.83003839040898,42.93232132046951,43.32352304753367,40.244924515230466,41.933648684738635,46.88906482948598,44.70117020632084,41.452633260674986,45.508747116817545,48.68141358216886,45.798263582628785,43.481356190186816,39.32771710386628,42.38215878460277,38.64739601994608,36.31709047936339,33.01184343212307,32.975575359065594,29.201841937878925,30.334557317411125,33.68110606008177,37.04877036687692,38.89969343971201,38.82133213444281,37.145397232057356,40.40813212484456,37.623946902182254,33.650284736468485,35.667290924150144,34.016757515596154,34.09614423587923,32.25176429365422,29.16292545464833,27.986850287449652,29.13887262199756,25.050974379440405,22.664935444379054,24.673184229937206,25.890041893123524,28.820967892610234,29.18976492448654],[22.151310352641666,25.607979128141302,30.684755114134063,30.738294831617342,36.448974796829,32.80431768653927,36.21925257286679,37.352607826505036,35.946676213444306,39.602021347241944,40.346547449479075,41.18120156514353,44.539020496933546,42.86489441177657,46.448024192591184,48.59843197835013,49.2287926701648,53.27560400172313,56.2470602140128,59.02637234139274,62.40896157423508,66.39333639734951,67.19978740171656,66.80873562313393,64.19186531895504,59.975354185114504,58.192957864504045,54.0981177451649,53.82900264957923,52.33153924059378,53.68490877170045,52.674195781941414,54.54062959368463,58.97692956429992,58.17480793789547,57.81978946467666,56.70963608029044,59.08912449725589,59.41640768217414,65.1200203887148,62.98367175726231,63.49017019464847,67.74565852179967,67.97229972645425,69.88460813309945,70.98113295693622,74.15424959499167,73.06678474818845,71.62636261488049,76.01444925627783,76.7999449215375,77.15429186753903,77.0561299390346,72.44898883087254,73.07458771295094,76.92868511675582,74.7019115953795,71.34843173438186,74.76322675708006,77.37002844923587,72.73267904686084,72.62901273509193,69.52995233561313,71.38715750704736,70.28334368171326,66.4283614751627,62.99668969293703,59.26514178276025,56.6073655342737,53.06271163705923,52.680896384987875,53.92156661589794,55.7713114923086,60.05193287417832,59.11255095022976,64.74843926690534,64.93276528551127,66.57604401992704,66.50747731957327,68.65103886700403,66.22811234681112,66.81154517084283,63.83448313996223,64.79516581048784,62.79794536068673,60.8873510040253,62.92978243085092,62.05303337074878,62.170349771948565,63.15182720215942,60.73501375902984,62.54312268183575,58.442945839170214,55.681350296500916,51.539905915628424,50.10947987821878,46.56179461551017,49.02046664824785,46.31533127724011,45.62914355832439,50.386690917774004,48.90254671749521,53.04285859120848,50.828252844328844,55.18595545294249,50.460424961787396,51.7042223406445,51.88392870353657,47.51957076594213,46.78557346787196,42.95516749778582,45.26451025271556,41.875556586881466,44.457722735491316,44.71211243135538,46.067653511677776,49.11745446882222,50.70525026447871,54.27659354675106,51.4559872437955,48.606274724128795,45.488281801659994,44.4390326814392,42.405964516033166,39.7209018238473,42.522702128919065,39.13470677623638,44.159836118871596,45.76000107879066,50.272901780943215,49.829081025312135,53.11483630411298,55.66325443608434,55.91838608803327,53.581764392771184,50.24379592393621,48.17641168135542,48.32072305962982,47.74029230431083,50.40884537615884,52.44002328437526,56.99457248620693,55.43355389142331,53.18207274527862,56.275002861046296,53.57526139507523,50.68806258220466,48.607207704373884,47.335556174348085,43.21765671582901,42.8159474924404,39.928421509289855,42.14640960153282,38.281004529209085,41.32654769103026,44.22460624632839,44.69136434714958,46.00433713566731,48.512762931973505,49.05012612050646,51.152902580868165,54.13658856366441,53.664757908470705,57.84725217476884,58.951672793295785,56.97159982468442,58.62165093850972,60.57018386482814,57.21406921055632,54.38645342652584,54.120984271684826,52.9528894985282,55.982359518759225,56.19907127880966,56.613639656233026,56.31171470683999,54.73148029888873,59.234318098020324,60.27768529086186,60.521633555860625,60.12633121504922,55.40744116164149,59.98561597439575,62.79164969487588,60.931971027781735,64.58115844235539,64.02277302182692,68.0540448051289,67.53968633991653,67.67154679153816,67.88654666848413,65.06495188678353,63.10182823739354,60.102619277591636,59.18137663756445,58.06865296595934,53.34063206140208,52.782050811168446,48.783242432026675,47.061157954012415,46.91674530142566,44.76623900192728,42.774977524384504,42.15981225868878,41.89266621672939,38.26581649763923,36.8668992261416,37.696467046611204,36.66462597417894,32.402113673994506,32.10077905570148,31.797040563101362,29.064124827820805,27.369273417957185,28.241988709584906,31.06919803098737,32.01156551385409,36.69970967843495,37.69618196689164,38.08322113984157,43.21810607136142,42.89706071519266,47.990151503916074,49.62591206450319,49.971860122188474,52.97758145916369,52.15098799855592,56.77112986345543,54.81568369146181,50.884630573900125,54.75294828447364,57.83404937190366,54.179023966756866,53.52462505740912,57.65308882778585,56.798033586612384,52.51534894538141,54.35163434634634,49.55375898022254,52.37592020916186,53.673395526217,50.50778863469024,52.06822897506506,51.83935926000704,50.653949306164414,48.174876147707074,46.42047713721224,46.19466876971563,43.845286463005195,41.50094192377228,40.25721978762644,37.815926869851026,35.96691353749303,38.041180137818,35.93574264440851,31.803489322046126,33.42109568831767,35.974906125779825,37.45149207087868,41.47684442541699,43.406027193047024,46.76977551159209,43.200397652934186,40.658023489098326,45.83850921276764,45.75197741558694,42.621708149239986,44.68514526208313,49.334085498506646,46.682039752127984,43.7326638537331,48.04532045575801,50.76126583104691,47.567962960751686,45.453445275515186,41.43437572916846,43.92677695854774,40.177878742298624,37.74774737372453,34.945237650017766,35.4394939051113,32.12143081323123,32.79618729289404,36.2860896919578,39.368258736236754,41.60460065681231,41.7529886364367,40.64635774208238,44.13594116470248,41.6730737911975,37.65903883807256,39.97723335317177,38.27049840130882,38.74333350204484,36.7156139135841,33.36196127798999,32.58204733294464,33.909449997326654,29.448062734099896,27.29273715010653,29.639299182236904,31.064791772452374,34.078773654637786,34.50349243615867],[25.18808115852338,28.455174937900598,33.44788472057146,32.71850801373395,38.47790308035242,34.520174463596156,37.53240789809603,38.66088692262693,36.62351723995777,39.918432248634225,40.30840047148803,41.3846144910279,44.82216555663841,42.691484970180596,46.09870625582935,48.53587194556978,49.22024586938873,52.9974491148577,55.7685764142307,58.84768342235088,62.0249570670562,66.18936620290152,66.78599352981075,66.46274587735344,64.08695108688751,59.75591946106182,58.29872652799882,54.23716989242121,53.9312721399523,52.60859065640665,53.34563289031745,52.8577639405025,54.490067021679245,58.770998799637546,58.25133604242254,57.838250737332835,57.15349384072582,59.43587991476514,59.94675572305349,65.88410207591286,63.550866264880185,63.652026990973575,67.98462606303164,68.44644879627576,70.2366106060538,71.47568047554434,74.54335429056032,73.51277521338002,72.37052101383838,76.7986898055384,77.48194257996411,78.01632964720704,77.78986152880374,73.07804609701716,73.78213391511088,77.44355061272373,75.01225043139154,71.66088914507652,75.04160102011248,77.51790490385116,72.6838122495561,72.3223155160323,69.17803086470997,70.750952229435,69.8888913704499,66.17918572529085,62.36812995017108,58.711039710634175,55.78085026492022,52.19950752706119,51.623125234017536,52.49282316714952,54.55335936459813,58.94301425914893,58.291356471460574,63.855448222926185,64.4582849097081,66.12699174020891,66.36519495912931,68.72275765660912,66.62846564233695,67.46388802043424,64.75522609832223,65.9308617042686,63.82217261959524,61.65756692384977,63.326659968461406,62.49595770926087,62.16535469138993,63.0003466045744,60.290879764691965,61.74711415121235,57.67566948591695,55.09405467621367,51.078400628079436,49.34601260320248,45.93853078311894,48.89847329914677,46.50866290302059,46.22743867079918,50.98685158945962,50.12923886813589,54.10108409817223,52.41513173013823,57.00593157023102,52.43484752569726,54.083794886833154,54.38941365196988,50.07858654242195,49.115738426030966,45.12539715747171,46.94501157544517,43.20159372238166,45.584819824790685,45.268987266875975,46.55530956299637,49.3135552547258,50.79615134887872,53.96068380001495,51.16436616988176,48.24897767477407,45.31711515779342,44.50076445201576,42.822462875147394,40.47520582388018,43.76301106920113,40.99726710179022,45.976410546005425,47.910683962892364,52.388458410631046,52.223814273888586,55.71025319343951,57.986729784123035,58.111550022853514,55.58010137910375,51.96850327033326,50.14689432938394,49.77107142224464,48.80272997437678,51.323316187054004,52.96080057323151,57.39407286840085,55.69701299451774,53.70258405344823,56.84627694377926,54.12089413870254,51.35089682791283,49.37486866106932,48.45623710262702,44.28328861495881,44.33305789535982,41.16461401393463,43.677512395624554,39.608988669233824,42.22307043654337,45.2442704634524,45.54694335188433,47.298826564922074,49.42864600415869,50.501092732817405,52.48638199786367,55.04402184042923,54.64414525305469,58.83262730788099,60.18266500455462,58.18653168977696,60.21263973642957,62.16708825421029,59.039095370364755,55.95942118457349,55.8316952414344,54.37446097190248,57.434848819681555,57.629669107201345,57.89175070699493,57.67996785980427,55.717645184795714,60.42401378950734,61.46728903429952,61.99859419606817,61.621504598320456,57.178248086043695,61.943184371550885,64.76880772092943,62.70067169798731,65.99523925357659,65.09474127114525,69.170802607002,68.63623606480164,69.11934335259019,69.52684456849077,66.81241123667756,65.10290406113744,62.25080825377197,61.56922909037674,60.729914367781895,55.94279560907999,55.6640914327505,51.83512754936954,49.990071373579354,50.29171377350434,48.00796971318142,45.761182718494275,45.50820159422453,45.51244242896604,41.613233519415665,40.125573784907914,41.427067125248925,40.4927058530089,35.9022737065678,35.86208361168977,35.89357903746411,32.85192805585597,31.024296974823837,32.408812651606034,35.05971487891818,36.476970394074115,40.85831438817395,41.84406935797752,42.51074322465202,47.70834356660547,47.575766615834766,52.58849355827293,54.15594404499443,54.27184881403442,57.16686816299174,56.05892831444894,60.75211779268362,58.967290030915166,54.74576288149832,58.489971029167194,61.73440585250108,58.01980064466572,57.11309094863476,61.14968456362567,60.45020363943344,56.102256459902065,57.519891434962055,52.912083753611476,55.53457142348372,57.06438071297011,54.09155336110536,55.51780837882305,55.478013126087205,53.92914795179055,51.51337313196343,50.10348687962564,49.62054787660411,47.03416403618976,45.03854263047586,43.89661095922912,41.27775903525466,39.55885447537572,42.023414508124205,39.88514255217657,35.59809018015962,37.58714039266718,40.34280341964218,41.77436873204649,45.73805881141072,47.400149159483725,50.949592030057644,47.59041105921849,44.72591311409357,49.85926818976084,50.011447698910125,46.82673429890772,48.55120128576521,53.446915420270855,50.920604628064666,47.643410385332096,51.806855603612796,54.80866925360302,51.61556610405904,49.25851873552418,45.04889771120968,47.6530387562256,43.684360360019106,41.637971895318245,38.44958569382208,39.01083568734942,35.382586652019924,35.84117407437723,39.32188787358345,42.478754651520504,44.62460082502468,45.02539852724031,43.4448933173745,46.92677194466468,44.013743372430255,40.321751109100184,42.66277309161931,41.20795031211114,41.189881425305536,39.10229848736717,36.24365409844573,35.162692893597324,35.88739760199226,31.870423949244973,29.840778827778514,31.699837606065966,32.672180347724726,35.407413851714175,35.5611033007978],[25.692773082612185,28.761501408495047,33.707002133982705,32.54758572054952,38.43338003410638,34.80671011642185,37.771939554048046,39.243968311129045,37.05271863304821,40.08040445271532,40.577334231760275,41.985153407835014,45.10034258849505,42.693455187976106,46.279240517916335,48.80300552875873,49.196638830022394,52.90589429692609,55.38656662167285,58.62807529831788,61.65761915774578,65.85723523111692,66.27940950981527,65.80714414692093,63.568844067780375,59.228792487771756,57.94005217622905,53.96803156342594,53.90257989862113,52.84676402237581,53.59784074101134,53.381626929226556,55.148997121334034,59.30569223482816,58.697913797829244,58.04748624738499,57.52841274415755,59.47356115728369,59.88255517502079,65.87907730268127,63.27235816655594,63.394678635372486,67.78671007549899,68.21264360525429,69.82017167195565,70.9824675933929,74.06519554465252,73.21545618576148,72.06210797057629,76.50526785742535,77.32653510791239,77.98575419461972,77.8051303385744,72.98929820619456,73.9104000251717,77.52823306268554,74.94017992309892,71.69847354435055,75.18100042669778,77.49237358799151,72.56517211954159,72.28009981133938,69.24553761613498,70.59306328575978,69.66004932203981,66.07295995872519,62.09697894266261,58.58901611269305,55.435413587346694,52.00832164377335,51.244554073484466,52.033809369175124,54.32927997931367,58.65019316566826,58.26739228134703,63.91437401496654,64.53443910842878,66.40953220579466,66.63131022738524,68.92157707038527,66.982626561734,67.7174151113563,65.21395555945311,66.2752672486458,63.97303394928715,61.89887343503531,63.4571303756911,62.893323271788304,62.338936897483364,63.42137300284493,60.56286959283855,62.020649385736206,58.01026544690031,55.58461239123513,51.49873349983676,49.81492383726968,46.31035362314678,49.56384256507779,47.26381370963389,47.34852257263994,51.834112058839075,51.13655733343216,54.85756792703025,53.23771102329731,57.687320618803575,53.06037067463094,54.84365750264155,54.96228861542309,50.60783662483116,49.8015627361396,45.65173418228687,47.280449746160976,43.48798515000746,45.57871521660654,45.19597667267102,46.21676390474403,48.96269560802035,50.159060523740024,53.35051973350745,50.80049302704596,47.75278258312193,44.951028454259365,43.911095010407244,42.42953956596158,40.30665611780019,43.578119289352436,41.15514289484096,46.07906828351562,48.12377687297625,52.704503065321624,52.35415784660233,56.010326829049774,58.08923604037551,58.42119466401884,55.58535276005641,51.91182080043429,49.90678723813046,49.384145156406994,48.218612510889145,50.854672041493785,52.172319704269604,56.639154820749475,55.1067446420568,53.24857621793315,56.54627492073372,54.00400567059079,51.20590682023716,49.486106372390275,48.75291692190205,44.70506264274549,45.03286633775226,42.03756150626172,44.87103978130923,41.054669261437304,43.49190897797868,46.325180805403434,46.3419140274863,48.11347634968992,50.00401320089015,51.03654130050322,52.68229076408361,55.16836748631297,54.46540920561413,58.75244856797018,59.93379035641838,57.6794589507262,59.86584254314148,61.63324523715045,58.55102456467348,55.423965249643196,55.49274448106211,54.06767582754407,57.35023819876989,57.73531627940013,58.13564086944016,58.15502609665811,56.174510800932275,61.0384816300397,61.836559106158,62.46177962166615,61.80898809803556,57.55128124808288,62.21753961708814,64.93156176150165,62.733397001950316,65.97061303892707,64.98932358770644,69.01125054482425,68.24759705578072,68.85541003202579,69.21766500329572,66.63787214874581,64.91085311632891,62.12036279325994,61.54170411003326,60.72675181120007,55.89757804387207,55.83870523817699,52.03767306517533,50.39328327571079,50.85271910705442,48.76337648058916,46.31484072806909,45.95204141770855,46.25606642156445,42.36553760857564,40.44190322812404,41.99451653986358,41.48584070569488,36.59112527113644,36.41764802403921,36.75437931345922,33.82517603785391,31.574794375450168,33.003470023229184,35.42075666927731,37.239678625995694,41.06621497123111,42.31543817467471,43.245284673904465,48.421277381490775,48.616438627520786,53.455400571437956,55.20738124303652,55.238615137458964,58.206482886521236,57.06495458389243,61.67834225343741,59.79638700193496,55.413086533042716,59.20199161873643,62.32684847858891,58.45475333503263,57.51786415320099,61.49881267999541,60.63116089276335,56.23866430268441,57.61076626944694,53.18717955261407,56.01835082341515,57.712052431737966,54.93974907723821,56.544138571795756,56.75046826668874,55.14519210713326,52.51606215158647,51.37014567747491,51.038118122576236,48.22063611938354,46.181060846563334,45.34656378305401,42.76130824917422,40.794378385465286,43.439304106523856,41.522070675171705,37.09862587049405,38.930087578014074,41.824608532650224,43.011169274211696,47.02383993314512,48.5676573598608,52.08791710885358,48.68621683501027,45.59393958703295,50.70248764101267,50.77952414640357,47.48462083822633,49.04079990851863,53.99335022599601,51.32135671679485,47.86387791938185,52.00731785972056,55.02261333772592,51.6749594018582,49.193016589601264,44.90348201973454,47.331353840119135,43.201676645592435,41.457729732664994,38.180843336343585,39.06635090039779,35.47721436391035,35.501088418833035,39.01265246722219,42.05312980576465,44.32329107720807,45.05958012450719,43.4922087061203,47.12766339740766,44.153261167816474,40.70937190274488,43.399286776595815,42.192331185977,42.2010433149543,39.74752755100071,37.08553655978398,36.26066330175549,36.58987539760685,32.49990087471212,30.95033468654942,32.9040884148246,33.879955218182474,36.56407938140446,36.83733763588696],[27.819261788818135,30.76701695733182,35.57003437884736,34.0151256979364,39.77704107126286,35.787829565653304,38.39951793933669,39.693866880842954,37.0912784671502,39.88867453866551,40.04483116795298,41.49805143437483,44.767627935238245,42.13153563990215,45.45813347410307,48.15414223005271,48.70922794145462,52.194066173867725,54.621217507656404,58.013712510588505,60.92208010792287,65.22832422428336,65.55925524203934,65.21862351479838,63.12569481901427,58.72171701855308,57.63008075943808,53.67308601559053,53.46853348981384,52.44970302105202,52.68778764441569,52.78928275651004,54.30383816267617,58.35229728760427,58.0090474482736,57.412330707842145,57.17457524982137,59.170714881458416,59.77450413129294,65.90399940700732,63.27456110382209,63.04838114862081,67.45246797946882,68.09414227787184,69.67485311783638,70.99676976886524,73.97033964317085,73.08470741071757,72.19942499142017,76.65219445010634,77.3178232682875,78.06827832723158,77.75387227934672,72.91116222070931,73.78917411824742,77.26381851643697,74.58652444956272,71.29666577801146,74.69974098522067,76.97803541462271,71.94265505794766,71.41126304021199,68.30542198595494,69.510691724789,68.81149955322789,65.3072318906702,61.11503705092578,57.6236426691611,54.36671646287462,50.86700093111087,50.03559771137222,50.55158640783504,52.89791089752107,57.306661092530575,57.04669842182264,62.567530937684495,63.51540022903571,65.3170987485766,65.79121750745509,68.2710185319947,66.5444491922473,67.52594562769995,65.16771007455691,66.44871936060045,64.15533466005095,61.84167955785435,63.12956934203137,62.495319223972466,61.67080708455787,62.53010011961655,59.511894664579486,60.6793599094138,56.6926187809259,54.36998702828454,50.44363867913784,48.516962245392016,45.19287715733222,48.70750594644389,46.649532268807,46.92893893046352,51.46812905950829,51.22100055896956,54.869348094635804,53.66677141815386,58.32725378777175,53.894007883076654,55.94195076855791,56.248685510356836,51.98874888684249,50.927431203486194,46.752336080674205,48.046683418076306,44.0255283172872,46.06049216264153,45.240409956442114,46.317227820511434,48.796245395671924,50.03548594457877,52.84346849858575,50.21692769990889,47.20277487183275,44.52614966621247,43.80306319193489,42.543357483547915,40.62410042292233,44.266311859043256,42.22287552771329,47.08149820889693,49.334179799034956,53.79623962799049,53.78011491364127,57.497821980748924,59.43045487961283,59.546011410125246,56.71257259831978,52.86437607212063,51.18359155119733,50.29508076065986,48.91174190043688,51.337734014693744,52.47893842521981,56.79104603998293,55.06493235276808,53.3701018151959,56.60752111034034,53.97612794001104,51.31177114424625,49.57662097052395,49.06070856812189,44.955748125201666,45.53084294988645,42.274172667078986,45.19373239332772,41.17626886827423,43.30128725510781,46.265225047176884,46.25468640595639,48.35384161714242,50.01386255733986,51.49033352133205,53.176261964975204,55.321766979954575,54.82810339671114,59.04250479270952,60.50610875566912,58.388657961850186,60.801746328372595,62.66852260567825,59.77843456953373,56.4762802167626,56.55476194325343,54.87349746749107,58.045340856185256,58.31625705782815,58.522439110563994,58.5137467596577,56.240628001110565,61.17395901981931,62.073176664771516,62.890007840310325,62.3810661705607,58.29337178959232,63.136788768440674,65.90862278618879,63.606393112527456,66.55348793812895,65.32615486246522,69.4004874812749,68.73101097414448,69.57565197571301,70.1256726525472,67.57817194372033,66.0906308580659,63.41015749446229,62.987141349589386,62.401381475022426,57.56821360757534,57.638622257286606,53.99640738005178,52.151479239911495,52.911576376016164,50.62533138709244,48.07710040351842,48.08192900877614,48.46411104340826,44.36641338684993,42.60980168139693,44.419932170856555,43.7821452197413,38.80386887991756,38.92224487460022,39.38024647416265,36.163241762496966,34.04485186722162,35.870921681005036,38.24956735387496,40.23966670596574,44.099612148345194,45.16504728515838,46.19804860795548,51.422341732390926,51.64887870996044,56.466417235487725,58.04791267671921,57.90483687234382,60.726073061641266,59.346772082471524,64.05008075123571,62.37960899738335,57.826039485644976,61.46521101098528,64.79066970715526,60.96291806325772,59.814625603497696,63.72614266419063,63.100557912050405,58.69263027238241,59.700940921324815,55.368810417778185,57.89779699374063,59.70520256481589,57.016300921071,58.41579852867394,58.67749610673448,56.79510190370297,54.32444866498914,53.36325696955723,52.75495931249244,49.85039076801152,48.13249605864917,47.26000476872536,44.53420515634905,42.78947761719181,45.66562154368826,43.644608184132295,39.18087207681188,41.37046704977546,44.36388322115892,45.61194357355089,49.53079231836058,50.88496622263252,54.570227609331994,51.391638067707454,48.13625371018532,53.188937774268304,53.52417764015257,50.25343961468144,51.58361563607528,56.709908643169555,54.254367519903816,50.61238992513086,54.605587425145096,57.87145618402867,54.63862092865597,52.016695891939854,47.62606171834805,50.26615272099216,46.07334932793686,44.499666687116076,40.94534690229706,41.67012184077023,37.826061762392385,37.93183562101997,41.368946830960105,44.52173079237722,46.61051708595207,47.35928138964359,45.38363068280045,48.89756934675078,45.59994511247697,42.33716473731357,44.84957833608324,43.747899260547854,43.34717039383459,41.03564661860144,38.71200121235331,37.54931385824571,37.56541052795515,33.92398984478394,32.2853514123697,33.798209828438836,34.40613083721851,36.84395691311036,36.87389986581788],[23.29034876175936,26.21714277743385,30.92202455171879,29.45198257310826,35.053568828251464,30.731086248570293,33.30408877524091,34.41334122352513,31.88704230530323,34.86768204834243,35.04255250785217,36.331865399393706,39.71504506466462,37.30858046706738,40.62104903316206,43.2060617709998,43.893951912119626,47.503930230686166,50.18787374964417,53.394260127423024,56.46975232671598,60.710267518260444,61.23161843146491,60.99275006225782,58.72086837195077,54.34012422277095,53.04272543656773,49.00279399347004,48.64706663673479,47.44780857369843,47.85893229812384,47.70618102559527,49.27127145895467,53.41977958370246,53.0007461767555,52.505169272379206,52.09548849877867,54.27834696639671,54.916560120822524,60.990723005820165,58.57144947611131,58.38783458017631,62.74570525157009,63.36309520068152,65.09713828483511,66.46943456631912,69.45998869302676,68.41778265723674,67.50430139797339,71.96435774566444,72.53867502133187,73.18269677643289,72.85135996951965,68.09780651924588,68.82160092846169,72.34242125165167,69.79769287558605,66.44245635731427,69.79467611502604,72.18948227312758,67.25791536473338,66.76542283882581,63.61453205381547,65.04664211368585,64.29136234822096,60.6600660919792,56.68281425863496,53.06598921562922,50.03408387061248,46.43914389480142,45.80307302796711,46.55888059164644,48.669732503403964,53.08183553140868,52.54831500738067,58.09420976647496,58.85303457983469,60.573880730527,60.93994729467187,63.38739850635457,61.507864389883835,62.48477044608619,59.9934817473133,61.31067740532481,59.12311467922334,56.78039383812331,58.18690113143898,57.42231862805729,56.8009893766662,57.6211322883465,54.74801506886325,56.07759725472979,52.04252138569092,49.5878082193262,45.59735657136727,43.7833272109384,40.39327879887413,43.669767426409805,41.4846018693081,41.63880811223658,46.209342500176014,45.844182985576424,49.56459475206673,48.31735397322987,53.04030932173664,48.644078996000715,50.701709514019534,51.13432169827489,46.930822538037766,45.72355921315626,41.606296032716344,42.92200991580514,38.89895618848887,41.11581258780009,40.35267136032362,41.63954037794301,44.16548749159679,45.67529685431792,48.537281718085524,45.70141108565008,42.79275664608176,39.960944037038665,39.384197240298235,37.91238481329378,35.79479152874693,39.47376674699587,37.25793768381621,42.13942938885188,44.38308528834672,48.75123171083288,48.95415774862218,52.58867953607885,54.58322767282749,54.50881659544016,51.86844651183268,48.02416659001808,46.5749489108857,45.71485077097032,44.48088831762166,46.77741415308933,48.24222510927339,52.527456787542725,50.64722758758467,48.803191117664575,51.91095752167451,49.139572866118804,46.47923901699309,44.56209306588257,43.92455288820452,39.75241251189471,40.21461369284745,36.903875379301624,39.77444757861837,35.782264310872435,37.94533258508728,40.89240317331523,40.94094137228282,43.00431679111485,44.766243058789506,46.241051117861815,48.10777009888494,50.301113987101346,50.01744454024188,54.1590897650447,55.76620860492157,53.886257949962584,56.19397085231335,58.259334023550906,55.37787975953068,52.07047416232252,51.96770212879249,50.20540657766798,53.18466353633721,53.310657667925994,53.42375451835156,53.29513948813821,51.04526506116606,55.90529984630743,56.91228839299746,57.679368623238645,57.325000701068,53.14802581225376,58.07498730528781,60.923922411970295,58.68616445170737,61.64079857650759,60.464541016616785,64.59545493117108,64.09874711707592,64.85366920068644,65.4746827855352,62.81580807669291,61.40160852566746,58.708783854881794,58.26429093521452,57.76027353216725,52.96326070503021,52.95567937532697,49.39224787478902,47.323637136456675,48.193113833845494,45.71742681004158,43.18751704776663,43.47546134941056,43.80215796830011,39.5616598961598,38.111652526996984,40.0126919122948,39.161184881775604,34.198955768219264,34.624005124717215,35.12687227564476,31.62502990180541,29.752006892210698,31.99093000279674,34.386787191953324,36.473344353611445,40.55178725830345,41.24468634507406,42.32658484177643,47.60182783449643,47.88526109642664,52.630338201538855,53.94545399421171,53.6019146536963,56.25968655244126,54.67081616673548,59.451367046161614,57.99775181995461,53.338242250640086,56.830198155504604,60.35781673468461,56.64215753600343,55.32889900608474,59.21086108353017,58.87882962752761,54.4907311093464,55.245496084842415,50.87262128643836,53.09360167778916,54.903665929100534,52.216551767772195,53.44649961320627,53.7309177123762,51.68650457312535,49.32545309847264,48.469321116828105,47.69875457177201,44.74159314123186,43.2206672593051,42.34680215657468,39.54164252277671,37.92244186476759,40.99626353416502,38.95960612760547,34.436859881767504,36.915332681470936,40.03878488715365,41.29066178374215,45.09549389608523,46.251360829486536,50.080177131581166,47.154742289107986,43.744865206910944,48.73361255037593,49.35489563471826,46.148902499476144,47.29452134253589,52.56484981539928,50.43062055901499,46.67274045196353,50.5097590430448,54.02943425135138,51.04583650882969,48.35411811077215,43.92586974331318,46.97270203941727,42.866249222745886,41.23292551284349,37.419594344458204,37.715263407066935,33.62657762288397,34.14042351818569,37.472211440328,40.82704728534943,42.640270073664176,43.12695765957429,40.857544625189426,44.19280361646288,40.78481197299075,37.46661048440611,39.7473791929783,38.63447321076854,38.07142974091806,35.903995397175365,33.675880725283704,32.31139264030325,32.31366189446301,28.862290000615292,27.079190391952935,28.434603009306155,28.984336854562684,31.41575831297057,31.4774953460434],[29.300118107281502,31.954339267222448,36.45997872061132,34.2970772935698,39.824637314054584,35.5243717107783,37.62930485637172,38.80849530569636,35.69348549169046,38.079720882131056,37.87219062043026,39.4922789949426,42.77149127146497,39.80933527059752,42.86699538472772,45.760861313317946,46.400943070420254,49.582961040034206,51.86002862582358,55.43994071003558,58.16271282223677,62.576477796653144,62.76889497509271,62.551010859127835,60.655598925959076,56.198797576179494,55.37453992520155,51.480409730441934,51.179440935341965,50.295632059777255,49.96517966493122,50.52064667599347,51.807248600115315,55.66059783531652,55.568971889307576,54.94607637850786,55.085743749475114,57.01466799302401,57.8126293460134,64.07929769855686,61.371196162086115,60.74342212042633,65.15516940249084,66.02089451847938,67.5248560752534,69.00624343962961,71.85275577297112,70.96178917762336,70.3830333440384,74.84561186002149,75.35805045811861,76.2408867459917,75.78770605284754,70.9224090895434,71.80043015253229,75.06757670675593,72.2624879011116,68.97567067264009,72.29011346752068,74.46445875789566,69.31364369861645,68.54086065351727,65.40614123709337,66.3924273578055,65.9230909847872,62.55668497987456,58.10609549500545,54.690592467951504,51.283980869415245,47.765048832108526,46.81742377369547,47.02321688487963,49.46913044346248,53.926156463071855,53.87336652300886,59.267463938004276,60.555411856334246,62.34424100181191,63.07855683040112,65.73195138840907,64.30317541921924,65.52022429897382,63.415744585994034,64.90906754979835,62.57056613897705,60.01910932893661,60.95375695717689,60.33293868065695,59.133944954980834,59.83688829022858,56.605274345475685,57.46532006113699,53.547797674078375,51.4091027182853,47.64546812498431,45.49647704894174,42.35217024693773,46.24353894330774,44.51250275606968,45.19179152113442,49.60857207391388,49.95480776880868,53.37342940687575,52.70094563860658,57.532278186688565,53.33579354444882,55.755703544851364,56.22997715694535,52.113942583481084,50.79081790606745,46.56568686256509,47.3581267032095,43.08076737524464,44.93678728182813,43.574095563839855,44.6421567566428,46.77621474104169,48.004784884119545,50.34331656968421,47.69811458822414,44.721155731935276,42.24310980155412,41.85789903781815,40.916644440920436,39.32296218438238,43.373286277752996,41.92601240386377,46.628257653388616,49.15821541844213,53.46185372007498,53.821198211047175,57.63968775259062,59.30746284990074,59.2050255623894,56.306390004170915,52.25015787961783,50.958683242153526,49.577674134037245,47.89878418339472,50.05698009772911,50.92357964303683,55.01806991899178,53.097202169852466,51.63433295723351,54.80894604018682,52.13278328903485,49.64225484135384,47.97521644909346,47.783661948019905,43.697646209267795,44.673329432602095,41.22102659079646,44.36158778771199,40.31061795211048,41.946261458618494,44.91785236351894,44.736538191128254,47.20709639128196,48.477159019875565,50.45523456014313,52.05996764003108,53.752165069617256,53.43219646368036,57.55136085784143,59.31386093743488,57.327974882985266,60.040653259897205,61.99111746630718,59.37656586151814,55.863610048165285,55.9880371706587,53.999061639566555,57.05942792872744,57.23814875740378,57.24788579806085,57.28583926235071,54.673657315382776,59.71501565264287,60.63612048874792,61.71281266184473,61.2887208631049,57.50060793974778,62.50172766840442,65.29517676541988,62.83803079534869,65.3920500472042,63.84924728351471,67.95806276408382,67.35020661928,68.50591367277043,69.28352228140402,66.81853205284187,65.64126224963944,63.1336485802915,62.9441177823466,62.676520236597355,57.863068418903914,58.165599001963386,54.774757675966605,52.73233070922319,53.954064877742546,51.49058878507926,48.752283729096725,49.22497177850873,49.82300379794576,45.481449982202605,43.823557284093866,46.059794717891684,45.41983587170748,40.258678700483344,40.73859546609842,41.48639941286158,37.95017950444186,35.888733016539355,38.272881485611876,40.48162598490726,42.86979957890049,46.54951458185156,47.39723237149987,48.68156840693784,53.94462826347517,54.37798251021074,59.04905030359159,60.4215217533817,59.965669888525774,62.586199404817236,60.84968350703828,65.61949696295929,64.22811038692788,59.3813656557015,62.79982894928903,66.35437895438021,62.554684045821205,61.093054511326265,64.86630643545975,64.54801484067194,60.12662266541257,60.594928512952684,56.47319536804506,58.63017011995466,60.64406918002162,58.17263881412941,59.35750737293622,59.81975328416152,57.53851649311864,55.195168616431246,54.62817910779117,53.72846070051557,50.606006807077776,49.318165110610224,48.56877567512756,45.69760664718462,44.136427254912654,47.40522188498862,45.393455263316845,40.83722344305868,43.42055183378219,46.61398683665175,47.799814785329964,51.57262928405884,52.575141932647774,56.46084206869886,53.62004870363698,50.030509886814905,54.955544827820674,55.64522754239202,52.38728672811831,53.306163115948124,58.681265057977974,56.52719811288878,52.5660099631485,56.29911563291158,59.93269111188198,56.86137085544919,54.01115232597018,49.483629846961996,52.41346368123041,48.12981348060216,46.87271431156191,42.90718534202971,43.447789092423,39.29746943353197,39.42636214059702,42.71937502267645,45.98340884882629,47.80623099045465,48.633583999213734,46.1101452250841,49.46104827720065,45.74996137451971,42.841398151574474,45.2172459253423,44.374929020943725,43.46385978128934,41.204970025216795,39.44082976794548,37.9693455309125,37.41110635551639,34.388078156208636,32.8798291980298,33.847105020950885,33.99593590591765,36.05830984462991,35.85549844447138],[31.247753415946995,34.22002527017626,38.8874565026333,37.34131620599601,42.84438787545619,38.27323165554054,40.54343744889229,41.332674916633295,38.45084014512522,41.196327274718406,40.85488755567502,42.03407704750108,45.75739713026808,43.12610885781718,45.94539113636136,48.74877602541654,49.758349283787055,53.01105467039011,55.61078008099935,59.02484999176237,61.90054944850028,66.2837159438222,66.65375948166424,66.58793022592221,64.56458771748974,60.11564064482113,59.11722266245251,55.125229220871404,54.551609807319025,53.341939206351064,52.94443942643445,53.17879103904063,54.239393366638154,58.2534601088251,58.325784030886496,58.01866338798472,57.96617503257144,60.31734114598739,61.23195650605358,67.43304294148898,65.02048904528924,64.38171080132258,68.72978859427305,69.6493669826496,71.33694775656228,72.89276280769008,75.73192433623865,74.66095039280174,74.07932786092651,78.53313132183841,78.91043927831832,79.65196586801247,79.14069932144082,74.37347266031784,74.99503318133206,78.34017217456358,75.71247627475849,72.27039486633882,75.47524127505429,77.85945861256526,72.79591966440508,71.89720476127191,68.61724748402024,69.8428181461187,69.49631934651222,66.00157798585654,61.708240990288814,58.12410685387314,54.9578382443904,51.252264076500694,50.510741631210024,50.74281435720227,52.92750020937602,57.48624188744738,57.14075360911716,62.397897508597765,63.74119322690906,65.25100455291302,66.05472475920944,68.8188498945194,67.21265749399753,68.57294381564493,66.20295672060409,67.83162290618884,65.73102404308713,63.07859895089678,64.14639515939935,63.19018027652306,62.2503164336454,62.59841070581627,59.53395679659763,60.31973561347449,56.3264220903425,53.99895288899008,50.370112953200056,48.09360996934883,45.1277496764957,48.658635514798014,46.83045450600137,46.98012383793011,51.82598334621234,51.95271909490564,55.73968641495452,54.9498285260791,59.944242370397404,55.79296826932066,57.97814136440827,58.64635988201462,54.53898302339407,53.090219277692086,49.059366044048566,50.17287582543866,45.9838743370386,48.1935869937391,46.96700154891925,48.31938469857428,50.495969847921934,52.009071998573056,54.34152466326035,51.43953346948621,48.598539459086005,45.983875069043336,45.804928465064535,44.63859729646825,42.770042908649174,46.77552203739241,44.83860257719762,49.64971052962633,52.00408241981799,56.23902541619626,56.707947273040524,60.323949567050356,62.273311404587986,62.00009091655183,59.43811662504566,55.48529753813864,54.27801918786899,53.1523210423891,51.71088571028793,53.820197416729116,55.02048768692037,59.123003045332695,57.061361318228755,55.44469597729527,58.46994603240542,55.598417575008604,53.122345753338486,51.15817618438623,50.723075237914856,46.476407471755635,47.061325129428894,43.38319540051529,46.052483653766856,41.59337579193392,43.510467372206975,46.79201287010957,47.030859788525305,49.47012017732861,51.08172902204169,53.08182475130096,55.1061185431889,56.93042551826945,56.92873446433013,60.960698634227356,62.863597230009255,61.10045350881098,63.61203162993668,65.7211710231558,62.991714031862806,59.56537304037227,59.49817933918845,57.5411355732421,60.403108823431296,60.38991490066393,60.26588928025425,60.01860571499301,57.44828423294669,62.28793161662706,63.526159567657054,64.46134799486542,64.35740742413293,60.30251671653748,65.40034091712437,68.31857384223079,66.02620588428573,68.7111242718198,67.2907589162093,71.46501468047126,71.07672169854129,72.06590203391904,72.84780838186305,70.2237536731574,68.99559625225181,66.3817785653234,66.0259945153911,65.63566134702802,60.847413587361345,60.86389451329609,57.35399364263405,55.16593457090311,56.05588505289262,53.431782876630386,50.983096816242416,51.408395144115055,51.59457831791554,47.32981111364959,46.09759883404367,47.89901247252244,46.785743690055504,42.03422214632707,42.49696346580177,42.785454316248305,39.26488181049151,37.624542260512214,39.68840677698536,42.22098631032479,43.99043232932649,48.32088315658351,49.04638597584709,49.9248855618704,55.191013671217036,55.182681696030215,60.10691262329176,61.367109447627485,61.180915993607414,63.813432695963165,62.26863381208864,67.10884697764206,65.70688604881516,61.16898934598246,64.6320526804844,68.22484919945138,64.57752807725323,63.27971317123852,67.17212826441978,66.89354207095883,62.515222125171206,63.25068188165977,58.85741573077055,60.933059549259184,62.6964309689902,59.911395570465444,60.95280990363742,61.02148942763275,58.945187168349236,56.841704415668445,55.7996289586496,54.78849776000818,52.04515201650754,50.67580630997132,49.47616390850259,46.60668836933555,45.3146008368169,48.200146021260444,45.88221861365615,41.55553018672783,44.18175082860439,47.09840613791649,48.62522253699463,52.40641930699557,53.71287964830801,57.54940744474914,54.59802128106676,51.43197209341158,56.44866742837394,57.05444873663837,53.90501520145131,55.200441139583845,60.404966537490196,58.2364588487563,54.61234969703936,58.499653058414125,61.94102854969807,58.916052415718205,56.2958431435781,51.89935809844021,54.82522684529697,50.699465889171286,49.01851603964044,45.34545838366405,45.709454634223455,41.65485083765871,42.144800245822154,45.49703190540136,48.817563490967586,50.67271199789697,51.16895360210384,48.84362662676554,52.10736377634275,48.5799131058573,45.29768541516776,47.321012450779214,46.09698814569734,45.28338401645433,43.460421769829715,41.29339916962386,39.57954514743708,39.65617060970238,36.54706222995806,34.39824428226641,35.37046194719467,35.573901095652936,37.75165993325859,37.33059127114885],[27.853776326613946,30.88931890848945,35.47910750034346,34.28297517876127,39.58842997644923,34.68517585219941,36.975191912122646,37.439911364976226,34.747622888923225,37.78979365061074,37.422289005152,38.269455155449116,42.2572636936147,39.978105784945676,42.694569241745576,45.34938177798504,46.60767144805992,50.00653124445668,52.9544841062633,56.12427426467073,59.21136223905965,63.510616977495395,64.12114804751539,64.18771801809486,61.94820749872144,57.535894061213746,56.27808641506886,52.18466928888334,51.38641272538812,49.891991082121585,49.65904504685525,49.517374945538414,50.552205963874734,54.72430326914085,54.77045372156399,54.672270446113835,54.369823864010144,57.04091895985481,58.01193779334083,64.11655691372643,62.00411307085532,61.43267765063983,65.70617183535532,66.61921465375669,68.51704563674738,70.13702978463294,72.98697919375057,71.71219177770926,71.09192860432358,75.53142782296155,75.78135356702161,76.37095542312683,75.828260627407,71.17212706910185,71.57383746850364,75.01158753111073,72.57204855240994,69.01384770108436,72.15067571068293,74.726746383981,69.79175703881228,68.90447251881406,65.53814730480114,67.06903812627517,66.69668202097162,63.03275109782102,59.012880028575225,55.2538075616929,52.38859368977046,48.538464407463636,48.051294313397996,48.52972984216168,50.4050964316262,54.99391928431831,54.28579723810307,59.52348422034542,60.68632428653163,62.02530447207173,62.73278636742802,65.49002734705911,63.660721430990236,65.04841516671229,62.45118303874966,64.14051125894729,62.22880224802573,59.5351742873774,60.77969845836284,59.58627670014123,58.95090454689943,59.14927602385282,56.29522990414904,57.22661306105868,53.15728647276975,50.62819028749674,46.98360440819648,44.7768310664215,41.810332163942974,44.96395977113777,42.96953671864743,42.77452410950776,47.81852134059003,47.724315560708945,51.71906981975322,50.8194724380664,55.90628417823586,51.81050238813568,53.885715082196505,54.72500730535217,50.681977424569375,49.07803162990256,45.19823827723929,46.46873951561647,42.34788968245782,44.84589701151152,43.74973987097308,45.383792491243454,47.6237398174411,49.46675098971728,51.8707229444085,48.70018306707834,46.00716841694853,43.20572473451486,43.21536857083876,41.777759904373305,39.63635730891404,43.615069097303625,41.33649374831175,46.17826130549764,48.42932779253049,52.541107089789584,53.21815352688724,56.66603384199192,58.780992829064665,58.29299362118665,56.03660010657641,52.15523607277257,51.16405267568247,50.188129828441085,48.984545836693904,50.970384560223266,52.579834722661765,56.6601501903876,54.43470745938992,52.62489575566457,55.47707732173779,52.42453048143824,49.95737553300389,47.72854744584376,47.08034718689398,42.73126503012409,43.04515171436693,39.24914691273992,41.66440319014928,37.063276000695254,39.142567812381905,42.53411149292514,43.00214984185316,45.37394108965641,47.22125911159648,49.19777355272436,51.53388544752439,53.468997048699,53.75728627918632,57.68612208499384,59.73633820987519,58.260831495853964,60.57903179204356,62.90278268788813,60.13159081553895,56.75889641417361,56.46486858352899,54.4767427444848,57.09446499544183,56.891092745323405,56.64861465527654,56.18757584990564,53.68024287826084,58.36362277438392,59.80804858649005,60.628551436798425,60.77219192508477,56.53535782180645,61.71410521480801,64.73454069709005,62.576240635798925,65.33282298303837,64.026952404813,68.26419871498445,68.10570523216285,68.93586872045111,69.75847112663917,66.98636244953308,65.78146981982316,63.1141161826991,62.66515686211288,62.280941919494815,57.54921252885188,57.37886954542126,53.8960628850124,51.48432832131301,52.31414411211394,49.489409997944016,47.192670970565274,47.816819569160806,47.78645002736137,43.470514230116265,42.66998380125151,44.347618587708105,42.874746739190435,38.349802210064965,39.04516307383616,39.17432204676544,35.46727362214549,34.22282888542863,36.45601919385099,39.11059811962584,40.686541195847695,45.42020736117569,45.7942157693146,46.542176847348784,51.81628025920126,51.67645051473823,56.62164807591132,57.62679507707766,57.384482078739694,59.8801651166587,58.25121966975516,63.16386044638597,61.93343879996835,57.45278877687899,60.804333325284304,64.55898387399814,61.075365182494096,59.72016442115309,63.621343039275104,63.592297447876966,59.26698629750074,59.91178160888285,55.39248558622281,57.184788136020906,58.83634867521441,55.93583253786574,56.7842425146594,56.714596505345305,54.60360887094183,52.6892095376969,51.54103381251711,50.36335821696772,47.74438750578119,46.50294156378726,45.123360124727206,42.206275054263806,41.1378639772286,44.00491879923109,41.56070285424946,37.31072921462218,40.17160026101467,43.06109408087588,44.72017556500101,48.391608203124036,49.65425329365632,53.56685509630886,50.78809547017655,47.68889620339178,52.66100524417912,53.45816448182415,50.42230906306053,51.71648920496413,56.93799211273657,55.03159410622957,51.4712026089199,55.27602861817168,58.82640666639066,56.03257185820488,53.46350223010157,49.1172683400207,52.342844300741675,48.37584155586048,46.48744850491279,42.75713359174526,42.70802578256946,38.54005580449548,39.49650897455168,42.75780172185426,46.23277428148734,47.87159195913572,48.02014357475631,45.566326072005474,48.63144607053192,45.123144136059906,41.661481448666784,43.33508294658478,41.947730069241096,41.05093684511905,39.54695339162485,37.301751736730566,35.335955773597476,35.67853196072561,32.72190603327263,30.19857607939194,31.022359530852373,31.194402353167376,33.40840767717386,32.939142797508595],[28.556123905261384,31.19252553948586,35.438495676914336,33.512473051012556,38.60048005508716,33.56065815686111,35.3380245282614,35.83778292740376,32.61068432808875,35.156157105962315,34.503599956511046,35.64604774217607,39.49191431583549,36.82182940939725,39.36916508233244,42.22813085610174,43.443728568050304,46.556490204407865,49.27975668907006,52.65627834099502,55.53771467800502,59.93555053917544,60.375483286872615,60.498716605973165,58.466298047642766,54.01145310804542,53.03402389427587,49.030043127312325,48.23362784286996,46.962836427865284,46.25331526765707,46.61924943774455,47.53043154924672,51.4795531269076,51.68882273174375,51.46178370340656,51.55295149635302,54.022596635299514,55.12134018265972,61.361964791212515,59.083221350498846,58.17531549217083,62.474196495806446,63.5670268235038,65.33710204419864,67.07248619888861,69.81146438221302,68.59139024833463,68.2365982013459,72.67819836464759,72.84346458935443,73.59553418457394,72.95445872815681,68.24056221859139,68.72978624875076,71.97242514776264,69.3605542785373,65.85003601506251,68.9573953475724,71.3803110232582,66.31111221871421,65.2583658643034,61.912846998950606,63.18076322178393,62.96397942331665,59.457304062496135,55.16936349235905,51.52475155077615,48.46069116549157,44.64909135377311,44.00663120694876,44.22085261906513,46.246310281561094,50.853265493289655,50.40077415586225,55.57759205072805,57.01453023959304,58.43543304782913,59.34295251830141,62.21117116176347,60.69937755464112,62.24227120133314,59.957071538979505,61.778608718578816,59.747467572444904,56.88480648148467,57.77769412162531,56.71365547723783,55.66413759254462,55.846395267930326,52.7505889040113,53.44263003071604,49.45224637552624,47.142409187163615,43.59217480581655,41.22893977310921,38.358061850007715,41.973215905043254,40.30524353140274,40.66588659795629,45.43889801185842,45.95603544553641,49.6057441699289,49.21715246985088,54.377353110967924,50.48302202645707,52.96246642863187,53.865321818104,49.94869356480532,48.17671622607457,44.19123147421624,44.90541319901246,40.54255567030818,42.75490632992912,41.144500083887536,42.6799944128294,44.60310053679626,46.35126615721512,48.352864689975576,45.239443616638894,42.54503580855388,39.95825630886644,40.20649883782643,39.11306151987511,37.345393884537245,41.67954075528578,40.09188349772193,44.74278724134669,47.287089519554904,51.27888561892318,52.23037368274573,55.832534402821366,57.614813172527576,57.00855782211108,54.57659250727371,50.4904378643464,49.80113548777558,48.324022375171786,46.7955504164048,48.56473851993957,49.83675258009226,53.721569093067245,51.37362236201449,49.811586435654675,52.64962645121851,49.62649994318983,47.308473165656885,45.23911600283574,44.95971205743558,40.69261112489822,41.502187556081054,37.62598101868364,40.41437216542613,35.961025077051296,37.47322930614077,40.74716756179333,40.90387179775968,43.61579645406604,44.99037871437582,47.39648683902675,49.50631244495664,51.00210793484991,51.333048456950706,55.20504656792149,57.45797705988306,56.023859847003784,58.65882585953059,60.99528355106527,58.497654396243405,54.92504925251053,54.73511109551282,52.480472545113535,55.06635626163279,54.85207579708245,54.48871582328959,54.1707827258289,51.35638912124305,56.204461021347086,57.551673841069004,58.64482130985993,58.746545862699314,54.86634006877999,60.135802983239955,63.124620866053576,60.77850457071654,63.15278665528448,61.53925485838338,65.77456748560863,65.60249194626299,66.75078187583614,67.76192699111547,65.11467080571327,64.19002812106122,61.708524696570365,61.514772641919926,61.43877023503751,56.721025126921866,56.854324865073295,53.63298937143288,51.124283256497,52.463074924037485,49.569304282515624,47.00635420803762,48.02746489376153,48.34385283976828,43.81701184163863,42.919914309462584,45.111910323882746,43.85120280197163,39.02459522262714,40.00553401600262,40.56252905089509,36.625452727363374,35.24070165607959,38.026747850268706,40.394729362845894,42.53565515258172,46.82222912609177,47.09024264259931,48.20608643562977,53.487210636789875,53.713447032135846,58.409920700402125,59.30702717924156,58.7056784626854,61.03155725224342,59.040218547634524,63.964150559191204,62.962738054203584,58.12966119312401,61.27794520783322,65.19101652746454,61.67370065672525,60.004796172033736,63.73762027072595,63.93681529639873,59.5939000148037,59.69603893772846,55.46625566952005,56.98617328880011,58.903927738411696,56.31588201833967,57.04799898035717,57.30672333480041,54.789612799230554,52.88638534601066,52.26501900639265,50.90033109673468,47.95078534276327,47.102673901261554,46.02491250952583,43.00451871844683,41.9734602432506,45.31011781050266,43.025160209205005,38.62738317349609,41.757823569234105,44.91118535070272,46.35872216800709,49.897182545106574,50.74309638817076,54.82155991341562,52.36402801621567,48.830514061348566,53.64482126431116,54.75184125119362,51.687170185851485,52.49503708560258,57.969574071454865,56.30507898556832,52.364177848511716,55.8926578952345,59.80061220915912,57.11484556780253,54.278431328992376,49.78321861968505,53.22053250520913,49.1248603655113,47.6622509132958,43.51185036205521,43.40190004995234,38.97541213800641,39.79304841445417,42.90505970277693,46.43073821069966,47.84513287340133,48.18872712888226,45.22543170889067,48.18217509085176,44.27217091103879,41.26535927929038,42.95821600072415,41.95027589224219,40.5855863893071,38.95809282777228,37.357637309490634,35.24707588843765,34.83498855690953,32.4587501640559,30.332824525076816,30.677128824282008,30.412407539681336,32.23335653745259,31.630256435159595],[33.28893048587954,36.025637139303186,40.35639456096244,38.464451947735476,43.5982524649078,38.57747337778446,40.312226830417856,40.735050670124295,37.43224219812178,39.86471639203341,39.02900603535022,40.12567513955333,44.06523987128792,41.29953582494423,43.62292924194387,46.563409687150646,47.88466089727139,50.80553030165125,53.42682589345329,56.90851653014742,59.65708796858504,64.10835678615628,64.44368141679213,64.62201701675946,62.74084534314576,58.2717749460428,57.46300421691009,53.51278802307897,52.659539797896166,51.41757453585868,50.339152299482,50.901186445929596,51.56756945818166,55.41802625031616,55.864982278031135,55.71429716041413,55.97887332683366,58.48567284572475,59.68656465899157,65.96418978276523,63.661050253806025,62.56280711587513,66.84787764665913,68.07075630438007,69.78883714892739,71.58624257592038,74.25401741068721,73.05315483424154,72.83984936246274,77.26995079225041,77.37013648196952,78.17624688838507,77.4618061403792,72.73767464082961,73.20774550708933,76.36027946393888,73.6990888401329,70.16944071004399,73.2104931768772,75.6033240617716,70.47588843001074,69.23256332503227,65.84720733947341,66.97670666641422,66.96192950021478,63.55336646771488,59.105609974493234,55.51978830595905,52.37507250193845,48.56005002324286,47.83925624480731,47.75947951457865,49.84963250975681,54.48869180386195,54.178983914127656,59.17651075691268,60.91505379208571,62.23749807497657,63.36320182008201,66.36992643705342,65.005249882443,66.71136554279592,64.49636135263205,66.43548004221503,64.43483445424081,61.46334037441042,62.19732705339802,61.06861696052737,59.85984863315114,59.82581576090486,56.641739701357416,57.04313647814668,53.107546800783346,50.893628095567074,47.55681713103748,44.980639228679905,42.354196827678635,46.06739959852792,44.5819879002669,44.91563669260849,49.791976106841915,50.498217724078785,54.172371476472506,53.95074381584965,59.19072889939584,55.38323304291067,57.869220736756,58.83487906698158,54.9355441561481,53.11931146809989,49.17099793973088,49.85486133706071,45.4641485411708,47.646334354278245,45.888675943474794,47.397819719530226,49.17941505435943,50.859910119052955,52.635877119615145,49.560535403896445,46.88764772953748,44.43562553635682,44.78972140107087,43.85191139371509,42.20774070440932,46.60800336890123,45.10316409053631,49.73643385013786,52.29507881453861,56.26361279661085,57.24355826262883,60.84213175195348,62.62119989964286,61.9875991037113,59.56154471450139,55.453621784981095,54.77649351499322,53.23380357678112,51.615966458871064,53.35584983213608,54.46052787165181,58.277548480507505,55.906478902945985,54.46514822841087,57.28955628417788,54.26643235915013,52.024290818938006,49.976289204474035,49.77975130702777,45.51130281406349,46.345240328402376,42.36257410062112,45.02127747544526,40.379390292755986,41.824838502537304,45.23297590234662,45.48761373830144,48.31915039200421,49.641456724627275,52.22201161949002,54.367452594895546,55.72686113365855,56.123757700898366,59.958609186414805,62.2848525508244,60.84152389229621,63.559378267455344,65.8644235732796,63.40769295874677,59.80573044495154,59.665505464528785,57.37592384295947,59.957177030005866,59.71881891656712,59.28603977283559,58.9328076818313,56.00939494425526,60.82980985223529,62.26067928342774,63.41406967574478,63.5940925062008,59.765887320795294,65.07145234113203,68.0706837268495,65.70530389550899,67.98779170381124,66.28162697753328,70.51778270699783,70.34966399767387,71.59547104597176,72.64581978100358,70.03321684958402,69.14948682078162,66.69190951866067,66.51895760524052,66.44377031620809,61.72033795206244,61.85394512016153,58.60580567212535,56.11110180544792,57.38090226563826,54.47728150122866,51.968082250942615,52.93115869572396,53.1699392873601,48.683064648281764,47.798073912623494,49.87894389664841,48.54479444099918,43.811755798440245,44.69621137978406,45.116392319157356,41.25575382678646,39.895821575135884,42.462028934128284,44.92119731492624,46.87204538703699,51.271081832921844,51.654429429268966,52.646117850481694,57.92804685705778,57.993469369483755,62.81234498478354,63.758334368129134,63.30234804064574,65.6748808565068,63.782719096149215,68.71814352329497,67.6662041930696,62.93540535689532,66.12905312356486,70.01311777506959,66.49714019444204,64.900143382526,68.6646932000442,68.79908022202854,64.44872228131159,64.6539336174788,60.39201875413564,61.95411151143442,63.82745543769263,61.165438589040534,61.869753663740966,62.00019647763673,59.54673905072656,57.72576120108417,56.94802956305479,55.54032423568508,52.728129698237915,51.85062493239202,50.609314781446,47.59331722809193,46.65266213893357,49.81930359529439,47.40689778446884,43.11009950151279,46.19902688366896,49.21960646661984,50.80033584516297,54.379306814225345,55.37802438846762,59.41546319146187,56.85070414786427,53.48749324851887,58.35618619528292,59.36086557272565,56.29760153109347,57.261716291498466,62.664041827540565,60.88236785535444,57.04823202206341,60.67224353652995,64.46448455459723,61.68634998311454,58.91250139974715,54.436983236764696,57.72276404809535,53.595716543429326,52.078404873481794,48.06671396065427,48.09569705227019,43.752496264591116,44.47479222967732,47.65418955584098,51.12591712786035,52.65336892787136,53.0467365920808,50.18290254744976,53.17330427183128,49.28418171480987,46.25277518310963,47.90648525850861,46.815513018304934,45.45036182515456,43.93281717085242,42.251947345437436,40.08493633067852,39.797777934393295,37.416390236743126,35.15326535193485,35.474201994715365,35.15665818287207,36.918911532241154,36.136880433699105],[32.520094122354905,35.5795745031792,40.10365365017733,38.96626749407541,44.13545350978591,39.012459282375715,41.10869185173153,41.27021373304335,38.44440369435557,41.40130103424624,40.69917350867102,41.351269625236995,45.61105433428936,43.32750396952304,45.65689360952476,48.38021334193154,49.93161690288987,53.120062712529815,56.12063480468319,59.324216989744755,62.33919754760607,66.68540376004749,67.28064327353437,67.51579987853651,65.37256150990001,60.94463174739983,59.798343964863214,55.71905006749515,54.699186533131986,53.105930115924885,52.38617928426784,52.37160462463244,53.04052230339905,57.14795549178871,57.525882058452034,57.6360575662449,57.48680569823009,60.37406602069372,61.54782886964888,67.67942125947471,65.68897752713386,64.83671909881603,69.05809385079877,70.17499599126917,72.11665822550482,73.8854616475355,76.62582163405531,75.25442562663775,74.84864633010211,79.27154690211619,79.33609735381768,79.93405188285402,79.25537230821983,74.64186950648627,74.89320452512716,78.23377850280256,75.81443469092602,72.163296019834,75.16247664660655,77.79427568690127,72.83468660803985,71.66985556041222,68.19405813182105,69.69464031373136,69.59743378804924,65.97720124029044,61.861767648312195,58.07933066818565,55.25336630137816,51.29889182194353,50.84043473292891,51.0510343993003,52.84446428659085,57.51508960891166,56.803395801545214,61.79705806235965,63.29395258912573,64.41193358817333,65.38593234526783,68.34881646488506,66.63264024782004,68.28925001298231,65.70238959265343,67.62002288302465,65.8414322090453,62.935115575332496,64.00863360003049,62.60117267200483,61.86368530119208,61.67600886107878,58.78704148394438,59.386436317940486,55.34486498939786,52.84720461184823,49.48052221105107,47.000478093308544,44.35981899988923,47.51414403771625,45.72369612575901,45.39920933476384,50.65743106260541,50.81723245086153,54.90413900042379,54.27955163035569,59.553491781092546,55.66023377272166,57.77099681848797,58.821105688314475,54.87936703215575,53.07373411007721,49.31954334372596,50.50572528259947,46.32555259538642,48.89819789303099,47.556572570975185,49.31717685226934,51.34209788398317,53.29352897017595,55.364669485951744,52.07229716591637,49.49233092361785,46.784907462526334,47.11179746732787,45.78546924376317,43.72363117632526,47.87509022019797,45.6725483232031,50.457956070154616,52.73689536487233,56.70567609601254,57.62322972384352,60.99274426266678,63.12898224218494,62.437776466986726,60.344374968119645,56.42825785483532,55.6666373586253,54.57373399462471,53.321702056582126,55.14062777647787,56.7146540723255,60.656081097992725,58.26277280574494,56.54056975546016,59.26755290626706,56.09776903812797,53.766318277572275,51.42786268982048,50.84284195122469,46.43967421440437,46.740136009583175,42.700467592058516,44.87170727333203,39.96263655174027,41.906105681101174,45.52479566743996,46.19653361872855,48.7734211156354,50.589725041777136,52.892891394252416,55.42562174473098,57.14822228312647,57.72196580380796,61.528166834386326,63.81964029945133,62.524263721427644,64.90418136013992,67.32765219780276,64.64548557414793,61.21928296393447,60.87151738072715,58.75188472226364,61.201763027277956,60.84062313573482,60.40000218584016,59.78528388002937,57.09835921189665,61.686902766613805,63.356743041842016,64.24569156890817,64.64618115747689,60.44184827630525,65.74376159503929,68.83849512006253,66.69794429493238,69.29359930785813,67.86921278510304,72.15314072112653,72.14569810580905,73.07297346874107,74.01798891423435,71.22038834208432,70.14916472752898,67.51981117511696,67.09747058548824,66.79050110351052,62.093757938797616,61.87695440002769,58.44538145731255,55.8884375646203,56.710487389540106,53.732993296164295,51.54664363167254,52.32110978096027,52.13349603295384,47.80337634883333,47.275155479863585,48.84985393551548,47.10707590596654,42.805667258078245,43.59151126958717,43.54441503913036,39.791591119481616,38.807173710883966,40.97883798626715,43.736713836758724,45.06180256041638,50.057479086713954,50.337857520484505,50.9176238524462,56.170208008496644,55.81024533127677,60.8533028849027,61.729406759779685,61.568793623523945,63.99097299289329,62.36463496662175,67.32804951130345,66.19637581607512,61.82556050629568,65.10868077403879,68.95616247153811,65.58134097967532,64.21706754662902,68.1198221339203,68.2147096344584,63.92056459084091,64.51757689092388,59.952027819773505,61.54915666586122,63.127868274966204,60.13332578345444,60.7870102055841,60.528922375079866,58.389460619440925,56.720269046002784,55.42129714365611,54.03243847852118,51.611533397643704,50.520842218136,48.88076767534207,45.927645752823445,45.14990354430276,47.873236713109,45.2248612998611,41.16297996749416,44.169236638365234,46.89960517120868,48.76594789522055,52.36396581739975,53.700093010514536,57.62772574424077,54.904889640798565,51.994584614234235,56.9501888849787,57.80178944572809,54.8485396692794,56.23098293122053,61.40567656874779,59.571798435948075,56.12162434528939,59.9230485695881,63.458315924261385,60.71995122218221,58.215325003977995,53.90899516663969,57.15802187778945,53.22996114398748,51.24943000918285,47.585657500848775,47.45159624506803,43.2776708049415,44.354213344566844,47.59655593419871,51.09588898957671,52.68950642245194,52.73425655140649,50.208504986228284,53.15725215358033,49.590809541603505,46.109845705655495,47.504288289902426,46.00400867316236,44.927118279052095,43.75135914800181,41.537659056325275,39.29841776848875,39.76240507648475,37.082185224847585,34.26709435084668,34.80511987373868,34.749655440624835,36.77665719227213,35.98835425862351],[29.664558750843327,32.511004529184625,36.69785782553849,35.51120183432542,40.294602007212774,34.78474067162092,36.573679353291,36.38500091251013,33.46587786627293,36.431149281948116,35.51984057801223,35.95492095365798,40.419935639453946,38.310416531233244,40.39658475429915,43.064771881646244,44.863438335471464,48.02313698733015,51.25178411991339,54.30283836440117,57.410073642835705,61.70993464496889,62.457597427851724,62.85869684945088,60.61904516039671,56.22248579164914,54.9715849062644,50.85715012134366,49.60060524365186,47.83507805340436,47.00373694297391,46.880616489186714,47.435274130413575,51.57593346647078,52.02703438641718,52.29071716337438,52.10823161726739,55.21484515143284,56.52025356148835,62.611480441447384,60.843858878988016,59.867839116874336,64.01360898962184,65.22470548934456,67.30131012225729,69.1942443912953,71.87688688779721,70.3330013368802,70.04046668112264,74.43963836781872,74.3279777521023,74.86225621333415,74.09734373452822,69.57520953605963,69.64497705802866,72.9603174018609,70.64331394546713,66.90835875510618,69.8089028622561,72.54581200589784,67.65330416610215,66.40919547581181,62.862610649944656,64.52601676374208,64.49196820987194,60.79775718950175,56.828153156094885,52.939088891338876,50.33163733019167,46.262052909723955,45.992852446658105,46.31030091181852,47.84441215699322,52.540674803444965,51.58842274051649,56.51045875268485,57.97241949425731,58.951519597680516,59.939722607587555,62.955576859307676,61.19418652842023,62.969630657423004,60.33167952050024,62.38800977637271,60.745394760481325,57.701846405323565,58.75053419053604,57.16793362969992,56.512237606232986,56.15034088611403,53.351180517212015,53.961475540292014,49.893296396167216,47.30811950022266,43.996470761977726,41.49884098894827,38.93619689962095,41.931258817878025,40.162939785014544,39.78236057294422,45.098981324421274,45.39465922148258,49.49431950700855,49.067789152388684,54.473664411878,50.776075218989625,53.00910837574325,54.27550335635027,50.49120462220546,48.425557196387146,44.78737102322446,45.80110347423883,41.57294368117433,44.271748304049446,42.771997324034054,44.7662776296348,46.65748205822022,48.88858472758515,50.78797609762778,47.26339386182586,44.85896309672291,42.09869861793956,42.76651775597542,41.36530484406003,39.2500894796304,43.54999364093489,41.40891451508715,46.08024722951181,48.411459817198335,52.16036610610678,53.45537780808951,56.729197801013925,58.83057513744763,57.84892802996167,55.97639230508509,52.03072379274212,51.67419680550731,50.44901547699472,49.26028622366718,50.81569734090888,52.60774742766155,56.39420920932516,53.77276148746368,52.002594067749214,54.525669316028086,51.19663230110111,48.97490534960356,46.45683341963397,45.86551435555264,41.4213424879084,41.71986070378144,37.50852676288084,39.60534158495743,34.620132699869146,36.38371128538833,40.06133657820546,40.80878619218355,43.51756710227626,45.30003182238474,47.83570790184653,50.562107688314974,52.13210490797041,53.03789061284775,56.685987514444214,59.24171875882152,58.271276421595374,60.62735653239932,63.26758338504028,60.711522258215965,57.239369408285974,56.72205436994156,54.42480036531135,56.59180415023975,56.026122915114705,55.38946914333064,54.633185005922954,51.83506731201253,56.3435398988226,58.172365375339,59.10060054401916,59.73683304138262,55.56598995067037,60.9925862422209,64.16621707827191,62.05846976202795,64.49532909332154,63.01284357062028,67.34547142877368,67.56911340682686,68.512765033188,69.60713486666377,66.73829389931804,65.85953225704745,63.29366964795827,62.92812559207043,62.81097600382628,58.19589285429801,57.97012045685275,54.73689355462297,51.903751230354864,52.96636399187528,49.75186882292779,47.57378836424141,48.78869216534823,48.588647691347106,44.09954601411782,43.96438037976037,45.71084373353739,43.73651207280916,39.51466678701476,40.70599378134211,40.75623229312033,36.69818992326904,36.04605408594158,38.70305053212862,41.389299172626735,42.8525393316782,47.94504938587999,47.81330607029625,48.48564094659338,53.728098612059405,53.467480612910684,58.35910940853543,58.9087436200897,58.46866092960632,60.642853898621716,58.71056297711306,63.7414329205031,62.927034728943475,58.4098021700694,61.446033062878,65.54143642281478,62.32020849025061,60.712779774135605,64.51111727949245,64.99200238123667,60.753251765044716,60.933709010765995,56.43112231362611,57.569063090885045,59.19085015266615,56.27680714289076,56.65818263439276,56.45839014622461,54.038370539521836,52.57865211940654,51.49708607787556,49.82096870232022,47.33626762614997,46.62774726359274,44.98838853292025,41.930343344852574,41.42198990906106,44.40363239056949,41.73255772337832,37.68171560369349,41.08758872741309,43.940935369301386,45.8019395744065,49.189994072379115,50.21720851419783,54.31285232951194,51.97395631976387,48.87352799789889,53.667169745849044,54.89873650038062,52.053279981017006,53.13131132917666,58.457854765705214,57.03794822745623,53.43386759833625,56.97085460232364,60.81542483749002,58.38011161745619,55.774544475834176,51.44901422650737,55.09959919080293,51.27026647133093,49.352731560079775,45.4078153483151,44.832404606191446,40.42442338581537,41.87486116965414,44.914686098668405,48.57201942741153,49.811582546969255,49.624006707799275,46.68211386737046,49.34538008596409,45.58065568006819,42.20474733417947,43.22811690679188,41.78902696598036,40.33578491037839,39.448495710281094,37.553633154233225,34.95887557924987,35.26104402844899,33.12793326791279,30.153098076152936,30.210081200944323,29.83268890191588,31.634314002169855,30.67628421607924],[33.147755503761985,35.734350875829115,39.56942028781269,38.08040110921394,42.48017220788578,36.69463161247156,37.94781574662718,37.4138669752772,34.13393706347345,36.71874703007139,35.303618127407496,35.62498489711048,40.26677492008019,38.05056112463128,39.572471600878046,42.35385930263191,44.465682153813304,47.246272433475845,50.464194140481396,53.56486455692767,56.515052800670325,60.85976879340709,61.56145133778738,62.20204782839706,60.126292435001815,55.738796172930115,54.696363202150806,50.6636475283721,49.13715528550016,47.352107092446744,45.797811391690686,46.01779328694013,46.12428335119194,50.06470326989529,50.928562463402656,51.3680934287312,51.5173984845636,54.76664325084938,56.35199449631007,62.47945184495113,60.825298826754995,59.39539788969972,63.455441307919976,64.96036681631763,67.04615678527855,69.15714389387422,71.66296248586318,70.00951968811921,70.07714313814887,74.43436773800074,74.05927611444685,74.65845729498335,73.69716154127359,69.24037133813313,69.1535653346958,72.25743322921137,69.91799851092011,66.11210664938086,68.82438290263026,71.55813774977275,66.62246757134966,65.02610422629094,61.38253771323921,62.93609789132556,63.25272339620706,59.670774649119195,55.5611570406621,51.69749930363476,49.132266099830304,44.98211252775691,44.73811872680695,44.714552937712654,46.12713688102289,50.877796268864415,49.96579546128816,54.57060735843406,56.45702273837368,57.2189954040765,58.55308858426224,61.81450183661715,60.312106981486586,62.43779937046231,59.970666423662124,62.32923598722647,60.79909363803687,57.45580376267712,58.15614127974854,56.398399984568634,55.47001951637315,54.68856753146952,51.782383203676154,51.96266965399094,47.978020066656974,45.52456262589992,42.57495175201264,39.755329534990594,37.61476818413739,40.75697312955649,39.383825661934935,39.17562330367513,44.49342089627653,45.392634985253274,49.34812830625845,49.50576142832924,55.10618182464796,51.78076368422255,54.277538562369976,55.80902000427406,52.25192144214605,49.87233400551259,46.35718655707924,46.950086430469234,42.58598295316005,45.2109293372536,43.21061821187215,45.32085726230129,46.80028370633432,49.15379952871288,50.48380599111,46.8300040774785,44.61927700475041,42.06581371003681,43.23961371006155,42.09366175159286,40.241211388085816,44.84811617169389,43.15582572138225,47.596435496652404,50.091172378457706,53.558557551774705,55.29897898048651,58.53387237554798,60.45728533899303,59.160671227790374,57.41852641727133,53.36325231033965,53.478247851196784,51.878593539954245,50.52339857582563,51.73033005428255,53.38736103224108,56.87499471720337,53.98940827009876,52.415089284569966,54.728729654795195,51.28582662775749,49.31744130410798,46.74945185640594,46.40515777355693,41.99945168560959,42.538091393839295,38.08251099825416,40.110545361121055,34.998677755491364,36.23173895334048,40.009705202590276,40.7855323567899,43.86634120988765,45.3384411124436,48.43369583785021,51.250254750636834,52.34564858281053,53.62534695164053,57.05498754739561,59.99080122208255,59.30992988444922,61.85065342998144,64.63630826544882,62.34621710261158,58.739180394823336,58.17666599977769,55.59664891460176,57.495373255698304,56.72626707137504,55.79687712343848,54.94135568177125,51.811950039420516,56.258609303379195,58.274452388578084,59.41152522230313,60.320974071525036,56.40339678349411,61.98376714975267,65.20969231044396,63.04342406367992,65.07985293987997,63.32842659020536,67.68831449015474,68.11244996494271,69.30026695898516,70.63707922682092,67.80213980682298,67.24631220429656,64.84179470266929,64.6480878710153,64.81230101627332,60.28487287012015,60.174460449623545,57.19508916693973,54.134454813070164,55.51628730842065,52.10006566654547,49.89166857795684,51.54435114714159,51.398706675523556,46.78258865570026,46.91733268527736,48.877718852949585,46.762527679551205,42.6129408954095,44.108760190330585,44.27071334566255,40.02335946845073,39.57598471038613,42.557899351767794,45.14139217184814,46.73495340929803,51.79334732713165,51.431933690003355,52.189667639495404,57.394878950511796,57.1883100637846,61.96523416876072,62.26917017767426,61.62365055588212,63.569899671808344,61.36749967855072,66.4388201919681,65.92014766357846,61.279849440534505,64.06961518522849,68.37655820934214,65.2807422344043,63.439304511769706,67.10307439188773,67.9129389529419,63.7234806588032,63.46451622527674,59.11497737405743,59.81440987627984,61.52014742086083,58.73750160148613,58.81890930561036,58.66375501037928,55.93636200081248,54.751498489574224,53.90401109147601,51.89015148686941,49.38713706785815,49.122628477037615,47.45791117702045,44.31850411619357,44.13291760790604,47.29607503196253,44.576576604365364,40.63303181332902,44.35602293171414,47.24049882423835,49.12698600501453,52.31119497350439,53.080478383523044,57.29724035017618,55.29004218054875,52.07013366213363,56.69550924360698,58.230292692374334,55.475376016534874,56.28033670527973,61.71911628486195,60.6016765478238,56.857945032658684,60.161491296612475,64.24898985993902,62.00753807882477,59.294565617582194,54.93694225374607,58.8063717750457,54.984045572945185,53.23054329765413,49.07165185157143,48.28927528370024,43.72042521234379,45.281164317635046,48.16031504819788,51.88240194644885,52.871439703910475,52.63460042598119,49.286751556855464,51.698629918085004,47.660693181815965,44.56271276772588,45.255492427319275,43.957513843120296,42.02381437182077,41.433881288155675,40.00827072823349,37.06371256709119,37.02405709226104,35.59283645821679,32.60487686431561,32.055880883119556,31.174593656406252,32.49744931630242,31.155014881061298],[33.22089210516913,35.47284310848297,38.95270078557986,37.04979796897107,41.13374107069171,35.268689119392405,36.08058321962728,35.47181633203889,31.865087059289745,34.061621683752925,32.38281495548054,32.824077681619805,37.382852276896195,34.985675628096644,36.2647295713081,39.14830544795947,41.30484659548848,43.85102033847131,46.97419881239436,50.14514157491958,52.97148427274763,57.34782609185373,57.98141956899265,58.710094096619244,56.749002843792894,52.36837954582277,51.484165085181054,47.52827532913511,45.93413679870291,44.257734522784105,42.336354330667206,42.88056714788452,42.859223308978244,46.63321867023056,47.632452888281094,48.0289565503574,48.43904735881237,51.59899185980105,53.30073465903991,59.47328174961054,57.7830587074955,56.10250809343239,60.137637369709246,61.78380276934805,63.8175132347268,66.03082101293066,68.43707811441526,66.7750373092738,67.04594669389668,71.37912053306329,70.90293899897975,71.58821737293297,70.54441540016532,66.08705601152973,66.01473907598722,68.9758501781067,66.55523927625893,62.76978900039554,65.43371570139016,68.08565591588551,63.0928567833113,61.36801141903476,57.7264374491113,59.1483811801076,59.58919594833894,56.09977624494812,51.86997614545956,48.064913640587726,45.45296404556139,41.30808377616488,41.02699863613204,40.8475274436643,42.25916850191704,47.01572690457857,46.201815020600435,50.7254851489589,52.78551396627049,53.560093697230116,55.031206331880924,58.37246659002247,57.076721842091466,59.329789590877155,57.07033503975421,59.53995541415574,57.97262714484042,54.49865642105179,54.95266671369938,53.2410509506313,52.057783333186954,51.215660055840814,48.176500282011915,48.18987416594866,44.26113287170529,41.944727817632135,39.100765292703265,36.165140451491084,34.15204074483047,37.55458741267865,36.443729283208455,36.626361326530066,41.71600202497062,43.0782112381106,46.76130010343253,47.319031357353445,52.95578836143018,49.83494687316213,52.60598967322103,54.21315909485865,50.80607173578128,48.283241146816636,44.76571827695825,44.946210241126444,40.466140054379935,42.908087601709376,40.543946325116956,42.64145150435138,43.849254260373364,46.21102713494474,47.20361865508399,43.53642783718911,41.410982970760486,39.015001481059706,40.458423211423494,39.52859892707647,37.930734788293215,42.74147745137696,41.52689256517482,45.75511758445604,48.42013546548027,51.72150889128385,53.71172938170987,56.99488749845499,58.683271969588326,57.25183034460255,55.46511015590796,51.30842183846655,51.71865329304221,49.78928552028875,48.26548067965518,49.2441079766328,50.739482231329276,54.02537893550022,51.011433752179094,49.595302516450154,51.81705133682914,48.3703851622661,46.55272828462146,44.059184458099665,43.96283472882951,39.65180874295391,40.516485901735166,36.02108418344588,38.261470795827584,33.3200544489451,34.07180628648412,37.729257434289934,38.29649289020592,41.61675183227207,42.738433318935705,46.161041257325635,48.85346230918676,49.606400137359394,51.00133550995412,54.32180386680167,57.44222133760026,56.88330413297546,59.59693853579935,62.429322930583346,60.357626720038226,56.643708229481156,56.10438903831956,53.331358455232404,55.11619440900469,54.29067186390105,53.23639361876371,52.44547777987239,49.10181798434041,53.6105699672984,55.58771731137196,56.91044065694961,57.844620356901,54.196454037186776,59.82783793723277,63.032221742237255,60.766191359002136,62.50508495954171,60.549872613022416,64.89815005623628,65.37451913205686,66.76033142149161,68.2459280291459,65.48927740990632,65.16042613992585,62.904189455504984,62.88563479366592,63.28642773708634,58.82070757056691,58.89887839934534,56.15096768751509,52.99797405284962,54.7412916500379,51.26798470603273,48.912250208909654,50.8883470797036,50.96333145675446,46.23459794668639,46.38428107469806,48.67400537774622,46.68098104605561,42.40623071930733,44.13102397103907,44.57509343329824,40.19439869863349,39.722040371267475,43.077735781959994,45.442340659066375,47.39154614448349,52.141231916000145,51.64440325007623,52.64381366977224,57.81130274879762,57.86800557595345,62.42285600554615,62.60811377646167,61.682844051504645,63.46535706253634,60.985774546021474,66.04232158530017,65.7290366884396,60.860705627213996,63.45613164463521,67.88371352647341,64.81202495889609,62.735701377545695,66.24794039475846,67.27426959857674,63.111586663449124,62.42800162417145,58.305542092394646,58.733891073513966,60.608009899861315,58.066826227072085,58.02605472033805,58.10953457158706,55.08059941999523,53.94470122128687,53.50059339402465,51.33877887718925,48.618573015147724,48.68330670517281,47.248821404650826,44.06280596921446,43.938331479941134,47.420761524727894,44.84732268510937,40.85076354865272,44.75226693699633,47.80298109408719,49.520178656449865,52.55841799451146,52.99342084997118,57.31151454825499,55.589994551445955,52.07961380503289,56.53543849495565,58.322612695775895,55.58715903282214,56.02170672360646,61.608680913400704,60.72547207480778,56.74294994412975,59.7978363577743,64.1408381393079,62.03872988731482,59.161373012747724,54.7460826159918,58.79411594564583,54.94810599857046,53.47160003351622,49.04985698883203,48.14929875591474,43.43760043546163,44.97686321136061,47.687149228481964,51.431918106780515,52.19878046949352,52.02920085496633,48.31576736136006,50.56817538043327,46.28028312545475,43.532618063653565,44.14584120791668,43.12745043070699,40.836233139504785,40.23743176984472,39.31904779697286,36.26358023965434,35.69452220011017,34.796045466266996,32.09828124427516,31.1469852376914,29.916330034116132,30.871775929750275,29.418250211387875],[34.06556990383516,36.54072869573198,40.04369996207584,38.89093785133901,42.81042603557351,36.70111717308863,37.6927404399854,36.56954401542918,33.4399214580477,36.11718750742245,34.39693189517184,34.16537948131394,39.19593230623384,37.414287233469665,38.415357722168324,41.02347400057995,43.61475650654136,46.29865487991935,49.87036942111123,52.68131277779501,55.748233203191106,59.98058856221156,60.91633990522583,61.821604383057036,59.62702364095659,55.33324011089153,54.130466740092814,50.08110237779622,48.15672782799349,46.02411685183801,44.23591160167965,44.170369810541324,43.91552211254031,47.90212972312757,49.01623070203519,49.84804909699187,49.87767351774079,53.58933158040472,55.38566916661831,61.35618775534308,60.1285312829579,58.54387141893003,62.43348512213881,64.0796072794315,66.38351945117171,68.65501871481578,71.06162144364708,69.13841494160184,69.34500565889702,73.63463185990626,72.98613069046414,73.44158502264007,72.34573397554185,68.08758711925665,67.63955631274874,70.72341053833777,68.61614906368142,64.6507682765777,67.1467169550779,70.09811024883726,65.32312815689833,63.53165355005263,59.746679350675464,61.58311988840917,62.089706746134325,58.41059351882914,54.57425623917774,50.563326256303846,48.40855952917456,44.10132738903752,44.1758547035235,44.21372116049368,45.168830293172284,49.92797511882912,48.61994246053681,52.93371541306873,54.86915311066598,55.25568061498432,56.69261284144581,60.081246093392004,58.467664572273705,60.82850112242471,58.183232772736645,60.77646442042849,59.56467138371677,56.03421416494706,56.745647023267914,54.588977330265244,53.89249176821062,52.63681368809026,49.9635666829079,50.02293344736585,46.035839764557224,43.42533230453477,40.76306237541753,37.83749447599791,36.05352549432192,38.701295754493714,37.38649440932531,36.738253800796045,42.32437133938483,43.270579788390044,47.41266330002219,47.755445272544094,53.52329753340331,50.514852327954365,52.943901375112944,54.81036243490774,51.485825202201525,48.801084125703184,45.61246155608924,46.20472524052327,41.947645893942884,44.83559425336938,42.77548846572801,45.22489706419612,46.534652116164,49.26971448099471,50.359095466510524,46.39974317730887,44.50017322587057,41.90541541228685,43.519283893450705,42.23419759156952,40.25192006159128,44.86594036174492,43.01311258652208,47.294315437295644,49.68717975176062,52.824964037882,54.976646231912746,57.945716180873134,59.97598550597772,58.3036379226018,57.00889660773659,53.04856317417759,53.597703943310506,52.034968932347745,50.882023852193086,51.787403908956705,53.782017694819594,57.06596134464264,53.92004420982943,52.257621501151554,54.24156045575711,50.57774134011037,48.78323353953075,45.91001907270138,45.43690533959785,40.99929316356763,41.28326184054431,36.60232681145549,38.127167762448735,32.75320164375082,33.888678723902075,37.879867099364674,39.03521038621327,42.19675250432094,43.80331140269572,47.14211579307945,50.37382980769662,51.34277138902471,53.145117898739294,56.30250555203793,59.55791795479083,59.3291925131452,61.71174721467262,64.75646498389482,62.55038415100634,58.991078807161244,58.176969433991026,55.479376057110166,56.95615851726876,55.87339231173442,54.65913707650784,53.47913417375619,50.28437382779866,54.43017279201868,56.81545535875755,57.90089092039233,59.262926741027144,55.28280879085956,60.97820419028159,64.32364679926997,62.31319764482194,64.23085190945716,62.49634424592934,66.90710698556461,67.67763159217772,68.7889440880675,70.26741729491064,67.30511519818543,66.9160948816837,64.5399974757297,64.30725481867165,64.57704204347606,60.20021569334125,59.91380740329629,57.09013804457884,53.7343529362371,55.11116917187426,51.4283333028699,49.459165050079264,51.458888360341376,51.046306533501955,46.43554258288968,47.18364359561905,48.98934260396211,46.41403916446504,42.71251705549539,44.50823096863255,44.46920242873943,40.09500797931621,40.20280347709962,43.30467677506102,45.94765796418444,47.251724958042686,52.66921169339401,51.90311235942454,52.475144353843376,57.579666801110136,57.1750907995759,61.91141139812937,61.84797238945988,61.13804582951545,62.831648296576184,60.50205007046243,65.61674004846589,65.39491456185664,60.884285549149396,63.4361602320939,67.94841723203547,65.12493431797759,63.188821228334945,66.78661803540476,67.96198151442813,63.89763041988128,63.430871476440025,59.033317425120224,59.2456687817314,60.80476520774569,57.934329202261544,57.64532380268962,57.27242540493324,54.446148643593794,53.67184243509935,52.724347451140346,50.368899278491156,48.13098758314758,48.207475349586915,46.25948895654934,43.09624358689533,43.38670184932439,46.44503432593605,43.55008038993059,39.9133443528695,43.93274644354571,46.658945342970284,48.73281660899073,51.65535334104174,52.3263333561616,56.590932035591095,54.90114261773072,51.85330343913318,56.303699285701384,58.10255405067242,55.558913270439824,56.31889738421798,61.70023273012218,60.949457847082606,57.33510287218368,60.45536863593591,64.63966050020967,62.70860759516335,60.083616502839575,55.84820589800353,59.983671611088866,56.37579081561935,54.46529573761394,50.31546764449035,49.101131223183295,44.49942328851134,46.51545762634743,49.205640389565744,53.016528877518624,53.72152699653935,53.108989632872024,49.57719268603095,51.63369766285876,47.60190156346494,44.45875328787792,44.55405718920576,43.10147344888217,40.89168466134433,40.91126352238754,39.59342014397442,36.23524473179499,36.44273932324968,35.56399930563548,32.156934399124914,31.11917238908203,29.94017461397477,30.977333664436724,29.278416270457775],[30.174531275096097,32.826075961364225,36.59169445852296,35.61987798628211,39.85148902260748,33.90996566794086,35.32527007555298,34.50853804973187,31.61444557781243,34.62318692033681,33.33586872153763,33.26169486694484,38.14152349094879,36.396320791221434,37.9437008810642,40.49061979197951,42.77917126353506,45.8174900798535,49.38961304034112,52.19101771797399,55.3992736957189,59.614642291506556,60.5791956455852,61.263296862868394,58.9237956077754,54.599441884101864,53.22304673518167,49.087115262088275,47.41600069099455,45.32446071036293,44.187904791154615,43.85557289477875,44.05127265719957,48.22818531485157,48.940466946720505,49.570653241878546,49.32726148653524,52.87905180183501,54.42488963241647,60.40235120882891,59.036471607277015,57.84332281649868,61.83374700168435,63.223509161181376,65.51055124689701,67.59484267785393,70.16405721614441,68.35046708043113,68.24688665193621,72.58661858575348,72.17777357688355,72.59194617953182,71.66960072355302,67.32270084981506,67.04825258473589,70.32224795686658,68.20282323753366,64.30511863775932,66.99834446347941,69.93698206522427,65.16828154786411,63.7055250274137,60.01275738671364,61.92505600490592,62.0976343336786,58.31647341551092,54.567963482114564,50.531382609217836,48.296813423704435,44.052169236073134,44.079286012546234,44.42810166298483,45.532136124571444,50.26204334407552,48.94637199687073,53.600430239193294,55.14657771481122,55.77833677699437,56.89312607939749,60.05706629286965,58.22689685120753,60.264822559126735,57.49083574796441,59.81028812756682,58.46279245116352,55.189649791547964,56.19778198516484,54.233849347669164,53.742366621876045,52.917484840421714,50.30018392268434,50.772945920252795,46.69428597938619,43.97304876128939,40.92253229599604,38.29175142558541,36.05737020909246,38.66089094269794,36.977824674039155,36.255170190490674,41.827893445406424,42.26926085121529,46.519706457007196,46.363860318486104,51.98217059179465,48.625867676572724,50.881499433040084,52.511586939380805,48.97665108970843,46.54664331801161,43.206470789062884,44.11690218928079,39.92555502261,42.869032812774286,41.20058830034864,43.552125893404664,45.21968077711327,47.84791443792429,49.43636905317927,45.582286685383394,43.487521354896344,40.70009041004258,41.88569603388354,40.38900100685987,38.18707882531683,42.59454464167724,40.40211077955734,44.8938752487497,47.187179173191,50.58327317237356,52.374595808299816,55.41200444889789,57.568394437888664,56.16440671419698,54.72037129604892,50.817439369202766,50.984202687105444,49.694949126009526,48.65661889773236,49.85300478431761,51.95241015133613,55.49787906438945,52.56805882041726,50.741240295479926,52.927847728509924,49.35804049613028,47.331420547130804,44.50880004537232,43.84495273201931,39.34909290366103,39.47764203987629,34.979600219239295,36.65910637846988,31.388611242498442,32.98037229169647,36.881620072566015,37.95811577653435,40.82823619472206,42.6774976586712,45.552532543113124,48.681589250210976,50.051296593243315,51.5113980432228,54.88158659972101,57.81762838086046,57.329557687485696,59.58569506528453,62.511389911893204,60.09205303612489,56.620828396785164,55.85233592752707,53.36847222259846,55.09272167277226,54.19486584515704,53.23986091485871,52.17549858082991,49.24391961680925,53.50248914976273,55.69110249972986,56.6196373867745,57.71192493501757,53.52493893046846,59.10913086450708,62.4111113518764,60.423323452123626,62.67198326271582,61.14823303937109,65.54211416448405,66.13065095492408,67.05601156328767,68.3355391974196,65.34913441275721,64.69707392854764,62.18972900078059,61.8324694754499,61.88925626763649,57.42064590498395,57.06836718243037,54.04480396813698,50.86284296722739,52.033422695784736,48.504625999781055,46.512661374944926,48.19373965664377,47.780586322188725,43.2245648328894,43.737447539918904,45.4374927231288,42.998492232172964,39.169990867943554,40.76687100494982,40.69239623281516,36.41207361325991,36.347207614134206,39.28398085201605,41.98451288686269,43.263738429857334,48.67116653427242,48.06572163602361,48.62249445141042,53.77682835673028,53.3877284907988,58.1939858632399,58.3295690146603,57.73540013825473,59.61198119355013,57.456412294626574,62.55381452430495,62.10068083069233,57.62683468869548,60.37605518169525,64.73500080074317,61.78739571140385,60.00526262720636,63.70703138208868,64.62941386300614,60.5097800089078,60.350192432990795,55.84256283155501,56.40649858748027,57.9372635124344,54.98709400955428,54.95840458690596,54.60538490277038,51.98317344308174,50.941793229105414,49.866813225963924,47.78752396144866,45.48840830823232,45.218281227279824,43.339507707912595,40.21024852841326,40.20870215072382,43.20947953142792,40.37232126763503,36.577579464767204,40.39373940471922,43.160660670096156,45.18238659476115,48.278413635918476,49.109518156427995,53.31358357593415,51.37604465485897,48.345069438530416,52.93658210539219,54.52710007285454,51.891822793524945,52.81475674676751,58.1562444169364,57.18352302744434,53.62201591718774,56.908736646172905,60.950032461190425,58.87114381715466,56.292868672356,52.057570603325686,56.0594281556221,52.43231540192264,50.43087264424819,46.39154247205563,45.314356396474714,40.79123858846041,42.73238023297351,45.538319922633676,49.31842462716526,50.19485111592183,49.63441581422737,46.36790538893972,48.63366546628664,44.77189322987802,41.420871650407186,41.81141124515225,40.277709325567926,38.423338814048954,38.14933094861765,36.49190418964018,33.393849597232894,33.806985631618716,32.3790960431663,28.99131926102883,28.41190523056309,27.6191631543716,29.0824056869755,27.739785898661893],[27.742822979289468,30.08840137801326,33.648938983385385,32.14059040135455,36.307940141513015,30.41117074123594,31.599560241186882,31.02543496504677,27.80172121738833,30.5436420898087,29.2788021542965,29.577135025234,34.196381777638756,32.154830603560825,33.88929270249272,36.56120626284269,38.612110184361335,41.631133493432465,45.02749477010167,47.96789720071716,51.10131136823776,55.37083286320134,56.22455371508893,56.818611731753414,54.54500106977824,50.18506722992905,48.91592379925054,44.81077545857226,43.30088083080713,41.435629743046775,40.32684647575985,40.270150289123315,40.67777210982041,44.77299248891897,45.340194227513805,45.70802836707422,45.63120102892,48.88138793406075,50.366570061510735,56.448919857902965,54.85679259903671,53.64029465263564,57.70629595056682,59.078454409630076,61.24944392510897,63.30844942917538,65.88562109068373,64.18310282156207,64.1007942705869,68.46498489182657,68.14280769332687,68.67018407310837,67.7839642353423,63.333505124648035,63.2593366527172,66.48565976229821,64.20931581450306,60.4072798457035,63.211199823258724,65.99923183676836,61.12987261861983,59.76057488240905,56.15641054801019,57.90435181069854,57.973762005103744,54.25304000796522,50.36252214061522,46.40298492951564,43.98035048096501,39.809765132020175,39.70724614674404,40.07814221756935,41.35763659537269,46.07308635682638,44.938335925564914,49.77562871020726,51.265954427313666,52.144487214470225,53.19756931458085,56.2929072324791,54.59699855533205,56.53852149849752,53.97444761234358,56.210351295289456,54.65909807422253,51.42152912467429,52.315537796090524,50.61163895526383,49.892918197942365,49.36699544632748,46.5772896874998,47.144570023643425,43.070407476939465,40.46635890197619,37.226912996131055,34.67231653532397,32.21209238814303,35.20343642596336,33.582782070362775,33.397388551450575,38.63375253201896,39.33079264735002,43.274083672617486,43.26856579952296,48.81375809279709,45.41982010564213,47.9436053619604,49.446491845490144,45.90613438730574,43.516781040162094,39.98391658217804,40.56558963167301,36.22049471240604,38.920878698136576,37.05829212874329,39.26650290676284,40.878380686855486,43.376738799514435,44.94064621839194,41.19169342143203,39.00276089640029,36.27383794901688,37.415981923269605,36.06505543382864,34.05063225220788,38.6052634759809,36.83454904386701,41.248311053269056,43.73362655692339,47.170857963832205,48.96308574645605,52.17949032724957,54.092148579706915,52.771105878039464,51.06470947419938,47.03418603392158,47.232234376436416,45.682809493639176,44.45579158668689,45.628445212767446,47.5289314141312,51.05153150452845,48.152313184511385,46.42521384670798,48.706675827485036,45.23063532406022,43.19518209358616,40.55312490086751,40.10438157521473,35.6770141127101,36.18631384897272,31.785904557311007,33.974768350068715,29.040347520363913,30.315285544982217,33.969918966687594,34.64383966677021,37.62800269583688,39.16302068558728,42.11132288129269,44.932482753953956,46.16216119004789,47.434837952690415,50.87632747182916,53.77395888198135,53.170177839349506,55.605097607503154,58.46295396027541,56.15705555315841,52.58497892962102,51.93016796600455,49.35832625243915,51.199049035416444,50.4175031581897,49.53245527917374,48.69326628094979,45.66665011968864,50.15336751428679,52.09213383230293,53.16703522042247,54.020272596071734,50.045975121765586,55.61233935337909,58.840177461065124,56.69912201332235,58.81634970792947,57.16373777287089,61.5329761755722,61.990555380840085,63.065619518323764,64.37800174834457,61.49702164186121,60.92488852911995,58.509467882728444,58.305099574095806,58.50521050181,54.011195441038105,53.904792590490906,51.01043593808229,47.88219070987503,49.40287568546626,45.95515525837885,43.686508175828514,45.51068472128205,45.45998170246964,40.77565159659482,40.99814033062328,43.11954871804717,41.05162021454824,36.841861798362636,38.546100564865256,38.89136992614311,34.51708024198697,34.14842992216456,37.46648752905184,39.8913686594115,41.719235198814516,46.60961813491066,46.033459364429724,46.95598320972476,52.12025222570812,52.140591111741415,56.70822600740046,56.90458212538966,56.02973981377182,57.86902773634504,55.488269881838804,60.54758661699942,60.14594620814521,55.35832919866581,58.03969701587629,62.415905662715595,59.34915693494956,57.37737795186015,60.97170916518069,61.92628844599599,57.76855847155095,57.301355443413556,53.02243660241011,53.57632190335724,55.34780935585874,52.682360262563286,52.74663648186469,52.7734125370746,49.90308038232261,48.65655048978594,48.06023336433951,46.03994815936883,43.34261018633319,43.208629839051106,41.75598845360515,38.58922698724684,38.36105514084243,41.78940939030762,39.23621688279238,35.189377838660306,39.040484262621895,42.09973492656423,43.80733620686247,46.883032315522854,47.39164251567123,51.681967749617726,49.888433258154976,46.432544731411326,50.936475971558,52.664106785407895,49.94016418307758,50.486236782998816,56.01922312316905,55.120997647415805,51.23882792652018,54.3557026684328,58.62143700907938,56.5512709300686,53.76030350374373,49.407870762778245,53.499343678730405,49.7642800928193,48.108289942595505,43.77772739212232,42.74394688994662,38.07365764048161,39.82269581445017,42.537598763601565,46.318074439559766,47.08846816159713,46.7445819524389,43.20069191849482,45.488518041553704,41.39031597381557,38.36580825892348,38.99490237359461,37.8190737369001,35.7752383990526,35.142404869830344,33.91663576665417,30.93123689216046,30.69058859294738,29.474007967735236,26.598749454049784,25.884681447827937,24.931968504741636,26.257098329098053,25.069431201968982],[27.112303979636657,29.171122734838836,32.133101364534156,31.12742889226579,34.5228604586033,28.22212019884605,29.057498118507674,27.666042904307304,24.7443574974505,27.73352760473675,26.182563618950997,25.68679918258382,30.824149155373323,29.493061124052456,30.68003530298659,33.04374061392547,35.66261884348441,38.704302511076506,42.62605643473271,45.10712461093097,48.47923569348522,52.557999935790924,53.77249606684225,54.646809642897594,52.128021403441,47.91222260132844,46.321419214041136,42.16803182092585,40.185042242234786,37.829023949934125,36.72203430345484,36.10382836985732,36.24752170719066,40.516246982277686,41.20721167530746,42.02716618718842,41.64389960763213,45.47689651533184,47.15229792244759,53.00535714667318,51.967377460840744,50.704353457652516,54.560312189886936,56.020963390071145,58.5049576473233,60.71804256310825,63.220788656139966,61.1775167615662,61.165545414478665,65.45225726264049,64.83675519028856,65.14483726401969,64.13745664542208,59.920860533531176,59.42964071438239,62.71223518537273,60.75149145266673,56.7614776847324,59.365035130883044,62.44774768512769,57.80788424142125,56.341950031557516,52.59520752737415,54.79046227166727,54.941455693387894,51.03081584790081,47.60518061045238,43.425450175770855,41.5951918853429,37.246030861269055,37.6144717305101,38.27609033980248,38.922503510021805,43.60194257678795,41.866417520535826,46.472584989028746,47.787092031275385,48.276135185986234,49.284105695143865,52.43290862469372,50.47485497041433,52.58802882292334,49.73065265294907,52.174488491850106,51.005093125180316,47.60954575798041,48.64923261912409,46.48137653473645,46.190707040426894,45.23535622784187,42.810963160473776,43.465762551309,39.34007569847054,36.44145357309165,33.381984721700725,30.868896313038732,28.66644071099317,30.885113314849153,29.14669906984324,28.331805245006084,33.93665605114698,34.516070778759634,38.74311043077914,38.83194753376708,44.565983203729246,41.50678790963149,43.93109454200863,45.82930113114372,42.5771028062779,39.81420669441946,36.697970161951645,37.31813029166423,33.15348968397905,36.24600753283185,34.43326749475152,37.11611791484904,38.599982466035264,41.62560635923945,43.03851426469074,38.88971054064171,37.10883450644723,34.245171312464066,35.8900400550692,34.249418602113494,31.975047907263114,36.44308564279845,34.384080516460365,38.57099635800725,40.88860001828107,43.902814512910034,46.20370713744151,49.06770479873526,51.12912435176251,49.348441246634685,48.22254807264184,44.346794006260886,45.09551973511057,43.66421436202752,42.780810989762365,43.578482819770706,46.01961852804622,49.30611907227676,46.11440402117184,44.19508510305734,46.05301086778334,42.29786769892763,40.436664071975535,37.36852054341126,36.66702810538749,32.182522263289776,32.29541603791898,27.61819475482316,29.205165582158553,23.95316745351421,25.200244679058283,29.118581003177937,30.27098656225389,33.28455874256517,35.08001289050486,38.22289907213903,41.58817011204554,42.769228645027916,44.67455975983583,47.78704421520501,51.03077609969195,51.00495884054993,53.166542567137846,56.356361938318294,54.13151706841863,50.663629788245125,49.65671328098096,46.976266581711386,48.27282124516962,47.1036358119626,45.90343420971609,44.660618975834716,41.63095388218424,45.765482299946434,48.1242077491933,49.082781821965725,50.45889633018059,46.34801751633053,52.04119068087961,55.415727597421316,53.4915204988203,55.53377235772246,53.977751854211185,58.407915055564956,59.29775007891427,60.20071583804247,61.650419296832155,58.59412779713803,58.188689163271704,55.79052013238731,55.51455750809578,55.833351591944975,51.54422134588647,51.204197359012525,48.52990518006445,45.02326248241336,46.56523863997829,42.785063462629694,40.80985424175851,43.116156184341435,42.757109899181636,38.07855345632604,39.121958363560026,41.077599180040416,38.45645291558316,34.833002518008904,36.981111297390065,37.13090758571008,32.59509112419733,32.987938450003554,36.52844375328364,38.94282107891493,40.46606970298976,45.69420832641321,44.544286961834935,45.28804308240869,50.28046264126186,50.14737611489291,54.56576385317032,54.28485215894641,53.25001203989814,54.74501629893764,52.15197669610587,57.25317844379197,57.24531589019882,52.576500307807,54.92810342851645,59.56267156741269,56.843153605495424,54.723741906041525,58.20790768236935,59.64732788839667,55.66703093083604,54.894764968627754,50.5835005055805,50.49297773015529,52.098668711119515,49.36548056289829,48.97975728932931,48.809361843505684,45.77081071288931,44.99511133735012,44.36712380630328,41.93317514276371,39.48515318362403,39.81979286578952,38.10311262558128,34.90023718030108,35.2538317916526,38.645938525781986,35.956905139480796,32.269124682142966,36.521707217662446,39.43856249725465,41.29247772360171,43.99164105091577,44.27670517122238,48.64154025454478,47.318302954462155,44.00013911913084,48.22557963067996,50.337387056222106,47.895785949795055,48.295207795727,53.764660521631285,53.392006563537365,49.6464272109267,52.460386727757125,56.88099945996797,55.25504704991827,52.565299384204245,48.403689459801825,52.86162327566955,49.458533337506566,47.649046850971864,43.32969846242597,41.672681453317,36.98567002849146,39.37037046810598,41.75609053593179,45.626583042545036,45.961555613022995,45.10197323821399,41.299727456189906,43.0806677310616,39.01148525456887,35.950031830524686,35.77542345895033,34.43749588861753,32.01285019832463,32.16715406042956,31.14567607930984,27.61236318262047,27.656938977114628,27.26816349190341,23.885833874947068,22.429740601357206,21.037339493521664,22.004225491360113,20.414667635293263],[26.68837861573249,28.283858219223184,30.8444810505524,29.155809519735193,32.27995690139209,26.0204960252296,26.345292214303054,25.106548149362414,21.643671018134167,24.118647989092043,22.35689505592778,22.261676017871494,27.170048197296328,25.45095163856157,26.61970422512705,29.185568397565994,31.666406855847107,34.55304178751085,38.29651152256873,40.95127939282309,44.197578716338086,48.36033076297351,49.44360685270168,50.30294210044089,47.90511727110737,43.6472169216337,42.24203468042537,38.14431984569439,36.234368400776994,34.12403579272586,32.77264599185328,32.608225765480945,32.838243208018156,36.95017429230369,37.62096078823417,38.2008237317717,38.133600218777346,41.67748208732366,43.3885907363781,49.37961584012491,48.12853813187235,46.677019946548015,50.595840014721965,52.13354753781105,54.48813919463937,56.743592399840345,59.19743134856357,57.24242541481534,57.369971890855865,61.672341063484055,61.07175991550721,61.52926868115077,60.504181852408145,56.19013005107447,55.87048842836699,59.02970228596781,56.883522455290674,52.97345311650636,55.63872151582593,58.55500369870637,53.783537075912875,52.3015120469475,48.61213554355206,50.595800762197385,50.74716475642805,46.93273675018629,43.294370144522134,39.192039968733454,37.169315518051754,32.85009105013016,33.10125450151176,33.690204271341244,34.470322619880505,39.167628117857866,37.63184573350506,42.35586247789606,43.752744117270694,44.449764954348375,45.508450656474416,48.67021697488079,46.95206199461376,49.08066593833966,46.520492547960686,48.975830651043005,47.61161845724719,44.14919678920679,44.93570048467709,43.00104365478861,42.34961231787871,41.58935412027604,38.92024477271078,39.54059278172098,35.43038487907525,32.70105987825402,29.530425016366603,26.973925896566353,24.641497554784213,27.40466896703963,25.899333527523154,25.84761841386087,31.01597154336816,32.148175599586885,35.93569977023523,36.42449495394534,42.1222082183617,39.16186553183554,41.97656270913,43.80520080987918,40.644303026754784,37.84282102504622,34.572223641450194,34.64677899756151,30.273592908319014,33.037541513465655,30.803415086490258,33.37303624721755,34.631385530543255,37.57157571013356,38.74353750664252,34.647881963658456,32.841847722786554,30.11553550015755,31.92678715666291,30.546452120133935,28.599662034584945,33.332088715396665,31.947572929928665,35.92092222673162,38.50171088956868,41.446632375042064,43.88637586944434,46.92391434988554,48.64340000988199,46.86027186479039,45.48499162944879,41.441744066720254,42.38657207878996,40.54068351447932,39.392449755879646,40.02911284734306,42.20315052985896,45.35375155237256,42.09810042254763,40.35744161311337,42.241938317775904,38.54657062135669,36.77120417877287,33.890277629688974,33.53835342017626,29.165224329756903,29.835481736811097,25.216953249683748,27.39804872634967,22.603174817245076,23.186241098581394,26.79435778306169,27.445029101367886,30.74077332078446,32.023807262827155,35.466608815969394,38.49590526536391,39.335528555633,41.16623057083456,44.277282281163714,47.61129468679951,47.557973115711874,49.97497871448999,53.13015961997238,51.123466834549575,47.51132339644415,46.618815599768034,43.75046800909676,45.07944677281538,43.972138673430855,42.748616661835,41.732549434241264,38.471650823623065,42.84793436973136,44.98321973702609,46.18405537448732,47.38017638537131,43.60973743165372,49.320389747748216,52.6203373101819,50.50805679713076,52.26484630599611,50.47235767091128,54.88238865912785,55.69172067317819,56.8407665875939,58.40459762197834,55.47949507182424,55.27088382595288,53.03375799153988,52.98463367278884,53.54925056340643,49.278220143305006,49.249521766187435,46.811511079624324,43.32365269429597,45.33768372199435,41.62542589122648,39.35057956813746,41.92102123100557,41.98154527088743,37.18600306735664,37.96710364409357,40.41600211588428,38.20197685817284,34.240957633793954,36.54196937788469,37.1635993009251,32.57614933438141,32.67597555138884,36.61531526903557,38.67891437340218,40.77942798208484,45.391194479437054,44.24585178278616,45.38240448772354,50.327060998419114,50.6237985442851,54.73942491457036,54.47678348418027,53.114313193054215,54.50685117412162,51.629024828236396,56.66277102884473,56.77977913446437,51.779629869933416,53.97785621896651,58.65436382576292,55.85402874052988,53.484387784155416,56.79622324628613,58.34508827257705,54.35888781980919,53.13946969435544,49.1508825057389,48.926438869834826,50.81212361203614,48.44876207736941,48.08432828110351,48.34352676643408,44.97284212421044,44.05703472067915,44.027242986553595,41.59386832989448,38.727102399630716,39.337976792030005,38.106453654417066,34.895733282334156,35.08160026872443,38.922833683843656,36.569475296065015,32.71747962462617,36.98809382477719,40.16463329391332,41.6702605142269,44.26895117980539,44.15030725923495,48.58811348510258,47.50204900936413,43.74748738726865,47.794004405042415,50.09980015799695,47.60709054036125,47.53764688114736,53.19191917880781,52.963371600405374,48.87899680207063,51.43389337054711,56.11805873509832,54.55062993661517,51.63153457126919,47.371423622489836,51.92940570228608,48.43716599559844,47.04949757537813,42.42520496535739,40.79450877644435,35.97639704708609,38.138929627337845,40.35446741235788,44.196924160144775,44.349929955971426,43.72612547994526,39.53953973528523,41.24993789744338,36.86201909982564,34.30190945899984,34.292573917219464,33.43368602094526,30.662148740206753,30.500141986874773,30.160954288015727,26.721460349496603,25.85626378431838,25.99822619953412,23.316469231085303,21.52374155060823,19.763532704507792,20.289197104279225,18.757410296147],[25.783569207993217,27.10887950978786,29.111603909814804,28.016076534791196,30.42966831895813,23.9504106724548,24.054230186214628,22.06483792189686,19.11199468735387,21.967486677497355,20.130037851761244,19.16206959910008,24.531114499454382,23.67019390576193,24.46505998981856,26.609234068322753,29.53896405462308,32.577947859586686,36.8228535505613,38.970543872775295,42.493280578608626,46.42271302393292,47.86942893109869,48.90273987834183,46.22010902565773,42.13100235681661,40.3366017479884,36.189772284545406,33.917418924533386,31.317658526108502,30.29021621069101,29.382077200379655,29.536770961486226,33.90203336910804,34.51385887833472,35.47903320607407,34.96156703773862,39.028276207970556,40.81415103811318,46.54489821221936,45.80052398850821,44.48238725508443,48.212611559535105,49.71507396833297,52.34880266577238,54.656004357501345,57.092577032986426,54.86367931301964,54.92437102431654,59.15282489761135,58.37754346292777,58.60490839950435,57.54801141552247,53.44306270321912,52.77854856922526,56.06558502708917,54.234693295134164,50.180286416244705,52.71702027853539,55.910705208694566,51.39297046603626,49.96136256383525,46.1886496604005,48.642457078503554,48.7316875925525,44.708367787616496,41.61147470439608,37.31443206997141,35.894947393990805,31.489035147457102,32.209761282344246,33.22393299635164,33.405341099320424,37.97311103199342,35.83701352746603,40.41964714721749,41.45257541345969,41.85045093932211,42.714355598655274,45.817964587716915,43.74260756783624,45.900156032861354,42.989731757002346,45.535013281447135,44.50509238061838,41.00445198900772,42.06941662771675,39.74620399130163,39.63663696270416,38.625455301426236,36.385221413738314,37.27835500042147,33.11521993945553,30.046678152510875,26.92440802112221,24.605168447065527,22.384171291561735,24.18180395343253,22.365158061100214,21.561898220603762,27.12441665942937,27.9051445000303,32.03620920624831,32.414916365598856,38.23659359815332,35.48959022701645,38.13164483822717,40.258251746907355,37.32231224098807,34.253779248398494,31.372105267545876,31.608322092764624,27.495669786399876,30.66756101017023,28.693293113525485,31.68209823775796,32.953026139599785,36.34568547290909,37.5719752254472,33.175422644264174,31.735252334436208,28.83280720937767,30.92881309035416,29.17665712893009,26.893578333847778,31.3614651770049,29.556155385387505,33.33419069048329,35.68301448668931,38.28132290725432,41.07533796000542,43.77351136583552,45.680358480164344,43.556188617227306,42.70689740907319,38.868738524919266,40.1989883886709,38.60182049731719,37.85862669050441,38.23990125121991,40.976885104990025,43.979042874215395,40.560106179922336,38.56941094458608,40.094882159527295,36.184274485183984,34.502717330170256,31.219718692933743,30.51515331573328,26.092496611771015,26.263333379756194,21.446946201279225,23.030686799503375,17.971269368234612,18.661868797036774,22.515398623820474,23.65823971865545,26.85144196940503,28.515378315215116,31.952758694232454,35.495534465149206,36.4530863311426,38.77783504021328,41.62472725187202,45.150796283905756,45.56326943668966,47.64103321546722,51.05373783956549,49.04695102131798,45.59860547523047,44.38433126611274,41.51957932284521,42.397000150800416,40.98024666891584,39.5488898692356,38.167627755940735,35.02662600285943,39.07127323026261,41.55337868025461,42.564747138743535,44.17737375837241,40.19385532347369,45.96887088262314,49.38792718336297,47.50701394007272,49.32257035126373,47.72264762789665,52.168252916075105,53.31621305548305,54.21682572009527,55.82797750376672,52.72802107908854,52.57788176309323,50.313267030920684,50.14392546094828,50.73731649983756,46.652228748407154,46.372849715634715,44.087349101616645,40.31815512712132,42.26950540184586,38.315605379834544,36.33319351617502,39.24103453430084,39.01214434751798,34.28753437527339,35.767032646234874,37.99888451506408,35.344029320350565,31.94917218238048,34.57100704946096,35.00317526187554,30.376991442823847,31.122780074440833,35.14258870309379,37.1722373705576,38.96963146403032,43.812589163359924,42.21033276741632,43.17261882937536,47.928864122091774,48.094371781323126,52.06263085998626,51.429044107841534,49.95804044636423,51.08332312632535,48.07368899323451,53.11766925009295,53.52268129388956,48.66705742561476,50.61106201686489,55.45770695273421,52.949968135250856,50.506780143877364,53.739156624750414,55.64276570178177,51.822570420643295,50.435145554474985,46.398463997982454,45.68481319634345,47.3938743075303,44.95381997392698,44.25003006795565,44.34049144708952,40.879003198244185,40.326913107428965,40.24385082072304,37.51893646052558,34.8722909164236,35.83274212083168,34.40654727078948,31.205872272822454,31.85271450395856,35.61876981284903,33.20995539475728,29.703638638356082,34.2179913867949,37.243912188343465,38.82981301398387,41.09950746044877,40.8064112907714,45.26363605698667,44.5503059296929,40.95075824810087,44.74357433952829,47.32443640511572,45.082517757673166,44.925179909368104,50.468129640462394,50.650357946502865,46.740561013543775,49.05213912216325,53.79791078348781,52.597370684968354,49.8106072305505,45.7623815856248,50.566409245361235,47.39898486761376,45.849679152703104,41.3305266730121,39.198522294294825,34.4643251219136,37.15332398253433,39.07607083756738,42.94422520952259,42.7573825635773,41.670975408156025,37.378149848858065,38.65427239008744,34.40102066671623,31.76184681374845,31.05153219799615,30.026342787868526,26.999815554854305,27.54282244617032,27.324076066058623,23.478583362597842,22.956618108504617,23.79006058280241,20.71608090016467,18.30476789313125,16.1931991990075,16.39892131624202,14.544664809597316],[27.000165574218624,27.77481004133904,29.176709514890582,27.46320311944797,29.30716226406418,22.967028146240455,22.28571004818428,20.247736758991074,16.735379740046678,18.81535571652677,16.494292814403313,15.730939614893584,20.976325342228332,19.857890823835845,20.28554066074658,22.602262257471512,25.604951674466385,28.37642957205624,32.55343572156508,34.78203879855847,38.19111359005168,42.17325605240401,43.55125760431274,44.67368917904403,42.10098925801572,38.0106795679774,36.38885152350454,32.32414305885425,29.960609361078173,27.516544339207123,26.039278130032233,25.592924917242826,25.684039214935133,29.877267380506538,30.58067950850566,31.41910790365863,31.260830198932823,35.16456655272656,37.091156442831604,42.91784796433993,42.08215818448666,40.4628086429062,44.194444524108064,45.85815546752199,48.423642626641694,50.847604958651644,53.18154577257474,50.95524615871719,51.24796291061332,55.464877893558736,54.59351578534856,54.947331670293515,53.80642541448186,49.65501978932249,49.065170119489686,52.19412562284922,50.223306194062204,46.202658438959915,48.73434019032689,51.809947004690564,47.18691681872192,45.651975390977675,41.88833728885683,44.19567758886589,44.366666714991005,40.42196018134197,37.1761799641446,32.911333945095734,31.445034317841333,27.01366635433267,27.74571097345137,28.703633452651165,28.8227703907878,33.408211552448556,31.33527748842788,35.94491355295643,37.09965489596929,37.600096740278275,38.57409590651487,41.75423244142374,39.93663281943916,42.21666771828167,39.612689858235946,42.27010103681634,41.13109856555595,37.46749958362937,38.208912732321245,36.00772031100826,35.534426975597654,34.55904593949904,32.102903014778626,32.90654840982062,28.751264566712553,25.813773029469353,22.66440786625898,20.233714183711992,18.00900492288286,20.28618172685745,18.834143020479047,18.90848929583858,23.966431151170966,25.542029378362404,29.140989031181626,30.142484066925032,35.948781551580275,33.490174115397096,36.562784330756806,38.715729182354245,36.015948221118485,32.82155532669629,29.93450873045965,29.472655387923922,25.21260388769674,28.025729680994473,25.491705045889866,28.46361556897991,29.339535485391135,32.76695870541292,33.56861399042191,29.11812205783643,27.818680563239433,25.109951158268146,27.623036832084182,26.17285105012523,24.305408307411504,29.018363497186574,28.031357887437224,31.395134061718764,33.98946610025874,36.335882526713405,39.426372882996006,42.205673843234926,43.72652579683514,41.474078521792414,40.50030534133097,36.53120289010716,38.25526160808707,36.18807073145059,35.209079253298356,35.2597042500641,37.77457431959539,40.49739274625322,36.91160070402988,35.12499091411277,36.52839623772279,32.613182792708365,31.13898448548307,27.979762233537322,27.684764521318296,23.455662974472475,24.24887593881572,19.49628816388541,21.59510236788435,17.202954374108348,16.824269992088613,20.269782185829552,20.89198346633657,24.492866178626738,25.50389493318713,29.443803950173578,32.709520882771585,33.15773289490676,35.60950643941523,38.319030051543706,42.075300018926434,42.6290148362895,44.94554130984363,48.3872354876456,46.68575948090984,43.110363719694654,41.95269684532705,38.83738651217237,39.57781476303086,38.11652114640581,36.53911108642199,35.311648315935315,31.849712516667942,36.061900785282624,38.411692697999854,39.70744826336349,41.27704707446988,37.718562145535586,43.526684984337706,46.88298490810839,44.84135871042365,46.24893878806686,44.36714638041717,48.79647401505212,49.9829369773079,51.151977812940174,52.944778980117356,49.97115550285544,50.11528898411136,48.06614344017726,48.1535805008233,49.0670394068691,45.088143330993155,45.11396451057233,43.177231911584364,39.380005471140706,41.843665763957624,37.93807428250848,35.726176570381156,38.99870942695148,39.15612987111109,34.39437227029507,35.74192759576789,38.419928419966695,36.12290462000543,32.57573251145552,35.37427924491172,36.22994500159237,31.637144310457167,32.20105923440622,36.54174739204566,38.19555021555333,40.466361500522886,44.69754140761783,43.031396303787716,44.33407940386425,48.95340537912165,49.5047682560736,53.11364127966857,52.4154835799093,50.60293598851329,51.53843677496885,48.216130787931505,53.15065667575484,53.77183616310786,48.644100621239815,50.32899520469323,55.23942191544971,52.74428290941607,50.02147787066699,53.01187411152487,55.1296338442498,51.37265109499262,49.43911915980834,45.79156294081949,44.777381139208366,46.74076163531017,44.71577922371338,43.92441504808178,44.423412072264476,40.59653043167537,40.0334352804759,40.59056110745803,37.79694798684409,34.81318585637133,36.183219392789425,35.22893172192558,32.086748764664804,32.68360040267869,36.80997772014293,34.75254068635701,31.250740421924128,35.746886289834656,38.92964311296003,40.185019629607616,42.24642480157603,41.506327605930075,45.99084290962378,45.61955639587652,41.66416785550849,45.16353600991932,47.98792254221975,45.7759261039589,45.113034292992864,50.77167552383025,51.19752080961724,47.01106822480038,48.96987422510713,53.9726883735105,52.92126618332083,49.94558505386002,45.8757148582023,50.7876511769088,47.61503530278915,46.485092225026875,41.723428307521644,39.55297034341906,34.77106469568046,37.2817440997263,38.93639516938314,42.73154251826591,42.27412559499844,41.357364425816634,36.64979190277838,37.70434961244925,33.151775908491565,31.14710903958511,30.425338322847367,29.932737155291843,26.46449472971813,26.858868916870424,27.49365984970603,23.749117857327928,22.2455745530866,23.912970495168278,21.638979685774697,18.796814268630886,16.227138226550906,15.633650109968201,13.734254666353754],[26.397453981983237,27.127377964816397,28.295096605287284,27.175195855707088,28.6655753450639,22.22359416974042,21.602495051065105,19.025578933050852,16.14460971145304,18.709138431370285,16.53511368910633,14.975446617598077,20.56976634765409,20.235842954994208,20.493477658744993,22.38168715332837,25.667555572944885,28.622792748657403,33.149901453615556,34.96748036956446,38.59552115249829,42.372685593962636,44.02393464394413,45.22602136950498,42.426746108749846,38.478245406120514,36.52776720140489,32.42730587273206,29.85010619721754,27.003484590016505,25.95659934314813,24.772789146385456,24.847961998142473,29.281854261966995,29.887213092963112,31.045207369566295,30.423624210523784,34.74792897100743,36.67009282285155,42.25958752043778,41.813423021964006,40.40217789391235,43.98789619694315,45.56369255462694,48.341440309997424,50.75314380503398,53.10804599689962,50.697478385599936,50.86143416456282,55.02401980129415,54.068365838952744,54.22052219145997,53.08637687188515,49.09908569572777,48.25072946618289,51.520583649462075,49.81737075722958,45.69482552057583,48.14040570496134,51.441638456582474,47.04244334687528,45.59434743783568,41.78575675508449,44.468610084083224,44.5545348083052,40.447947944470954,37.65942670586245,33.27351010459106,32.26953319346317,27.840455682068963,28.897639606094536,30.1769640078795,29.8964620943125,34.33020207694412,31.820151964240345,36.30012068445879,37.12469652576608,37.385224520419975,38.16193602324374,41.25568438225143,39.09409704605929,41.34026730851614,38.38756330318083,41.06603234817933,40.200330176277774,36.57326633815647,37.62630526659329,35.11459217565738,35.165801639648016,34.017162022086744,31.96397577086871,33.01660156095858,28.847621439130762,25.628110190662593,22.534032406326805,20.38396354216529,18.26410864379288,19.548939650975182,17.71079168888506,16.883031925316065,22.420141469057263,23.476326301161656,27.498373648696084,28.230088921938982,34.128536719637516,31.746384036494284,34.56650441073354,36.92289637578082,34.32815481009351,30.985721238597108,28.400376830866332,28.254258561318803,24.26569596763976,27.463883819392876,25.32416589895239,28.57671855662233,29.583742684877816,33.28865476015939,34.2721677294468,29.6703639180922,28.600501759986386,25.735077059346995,28.274049053158105,26.478311405003232,24.263844048560465,28.64884213782695,27.13025775132811,30.439859062525585,32.780340948708556,34.937985678827715,38.18338376018708,40.691751848666,42.45109701388313,40.001346066065146,39.439442290758215,35.67198654422073,37.54228750238016,35.80384847642504,35.18954936306854,35.1649328464368,38.12829050151406,40.823953697555886,37.20312279660158,35.183073064807694,36.36199309869569,32.3165287853842,30.852475651010312,27.37802882185062,26.69183007649203,22.39774844851793,22.61803141903675,17.713981071589583,19.185555162719243,14.420572666387324,14.361936614106385,18.13255118168475,19.307783853837904,22.703104057556626,24.2023479508724,27.975058651197514,31.694422825352284,32.38719676976184,35.14443139576113,37.69605172439291,41.499457055351996,42.33188358379581,44.32863480638695,47.92756635409409,46.13727010193767,42.7289873136431,41.335629540704325,38.31429761131698,38.77419363048309,37.110912165170525,35.434102334523054,33.896739647637155,30.6312440087046,34.54273202629803,37.179366580397044,38.24742752750779,40.1240452158963,36.2909981969698,42.12325250882483,45.575913973958556,43.7494090407556,45.322884521588165,43.67253507291165,48.11930043131379,49.52878351136449,50.43462944685141,52.19709385617972,49.07061973248525,49.162631963550886,47.03482859861196,46.961835009212,47.79789155275703,43.92796626525894,43.69266875175741,41.77020357794698,37.80180074291853,40.07359120835931,36.00444169572249,34.069090882598736,37.46122771275131,37.31806258156365,32.64517212613922,34.4970945155874,36.89126020286562,34.22163487060117,31.12900146358006,34.07082881886935,34.686148938015464,30.107196801675055,31.136796241683104,35.40120245466508,37.11559714362847,39.0484007894946,43.55974291318839,41.62261052907217,42.71484409820245,47.22135727687724,47.588001384301045,51.17489488302736,50.252478860832596,48.46171235956444,49.26479358076193,45.94306234591633,50.90122310758145,51.65688091339582,46.711823116888866,48.28941334718465,53.28610233006318,50.98915106950736,48.30052027094408,51.296139210283656,53.58874856764214,49.93539028620698,48.048246561024804,44.27110426674748,43.00748351204003,44.77450100608803,42.59216114355497,41.5921742321562,41.86978554717104,38.07943393360542,37.77605189722837,38.13525760936678,35.16494899055094,32.42751122254316,33.93893608192194,32.74272454050125,29.615101475489475,30.541359251550215,34.50115096787453,32.342141713980915,29.11025103617343,33.72869088226749,36.74894415738795,38.127431713588436,40.00694746906979,39.26161804190512,43.733141954368676,43.52746560758929,39.78502768234657,43.17158601240057,46.10552734066385,44.06205396872481,43.47630747830464,49.00674645958459,49.638317641878366,45.65957925106257,47.54393554289141,52.49765608806618,51.65191481067389,48.82635431863485,44.92099695695024,49.93857750164391,46.993077614714004,45.64863354172804,41.053249422806765,38.58127767118192,33.90867936905469,36.79101511123294,38.31519880229656,42.12193499603293,41.51896709659272,40.250866111832245,35.61526363912005,36.42386830058387,32.078608892028406,29.861544884761734,28.645844505328395,27.90411830613956,24.37881316384528,25.332282471822346,25.83667900280031,21.822855924335332,20.827872629414586,22.76978400150928,20.08222203758562,16.938868749994786,14.239479936273703,13.525102193683121,11.347989515140293],[29.904486489102364,30.63335611513778,31.603734217247894,30.764384107995213,31.868710527501662,25.478802509934507,24.60105246792966,21.545960653073553,19.003390036146595,21.272311205887615,18.739009833814997,16.54566888032891,22.28031687696214,22.395573522395825,21.777676779402494,23.41436719890372,27.226363758147116,29.789080534184748,34.499855576067056,36.027001554938636,39.609911746756865,43.23690292717255,45.04224419741131,46.54132885745054,43.76430784784232,39.98091440970135,38.03139223001989,34.06898597967567,31.08220075608865,27.95227256493953,26.329243068459313,24.98692624305202,24.36434296035043,28.70461933687068,29.796418312207134,31.46576852656024,30.867219352123342,35.64907204369585,37.845033668309405,43.18581494998457,43.1828297203516,41.483607753110974,44.81743352892688,46.60487078504052,49.528107473111284,52.11228662852672,54.289770360122986,51.648130712618006,52.05710302078759,56.090172436100154,54.82059327157162,54.86513414065313,53.55259345922078,49.81260785871684,48.578577080248195,51.72189039476021,50.243736489304894,45.98723256751715,48.12767984129407,51.60491013504388,47.38386369389487,45.619427730847804,41.67023545225977,44.549382300211875,44.96244793374441,40.87118624629477,38.32441880745321,33.902311527801785,33.3345144511121,28.85557812771721,30.18315205068773,31.29928455748284,30.551150501138572,34.91111982978096,32.08583696916366,36.0399007686,37.09840896138182,36.8595203760922,37.89195475143866,41.19072381477576,39.042408011297965,41.64822996673517,38.60931603095388,41.60730476160168,41.12140664418481,37.26287111868024,38.17119056847804,35.200248878472465,35.389143141143876,33.54337329745971,31.735543255026858,32.44050045737225,28.36053453432097,25.05416683731367,22.5878006653934,20.195254034635344,18.897215030052518,19.481923149073783,18.017579555023712,16.584963846245728,22.378901278692933,23.735098955081455,27.83781063321334,28.992227379414157,34.99257548509775,33.130523112387365,35.85707016140124,38.55998710146166,36.30777855556881,32.70326248027266,30.58430417683304,30.35811596128151,26.643138009384014,29.903680804520647,27.65135008507062,31.07729828278606,31.74515942491418,35.6561606941172,36.19007507459759,31.44101669540196,30.759859593163707,28.088725310481422,31.038354767934887,29.324018866860346,27.2177830953981,31.462802116876006,29.972487381679674,32.95613979127306,35.14697637564481,36.86999606195643,40.486151089905114,42.68390228216838,44.4723373683213,41.663024299347306,41.55866763413944,37.954723699423624,40.22454262580742,38.489069978531816,37.999158861074896,37.6535416205509,40.72813080464358,43.10770502312878,39.292824486152085,37.33434608396805,38.125986963701884,33.95939383705943,32.80333403820295,29.15704639041952,28.454368943721303,24.364605513873475,24.34649514397262,19.402050844184167,20.01598913644212,15.100849971507426,14.604766156892543,18.56791920978325,20.268171103733373,23.74512722576247,25.231259722543456,29.343321137651852,33.40303954784376,33.785260074898915,37.08462548780443,39.24523509318549,43.365658412643185,44.63145403496994,46.50937614969891,50.27403045394617,48.6445884236487,45.31563712180512,43.752957094309856,40.64527644612271,40.659179735457535,38.68741172449708,36.677755296866124,34.79929300156718,31.425843062860967,34.8822357111928,37.94449102971319,39.0068366613609,41.39671890876776,37.660987198123024,43.51905587015138,47.03445573938668,45.3716088873748,46.69260346558723,45.00224481093375,49.42332597859802,51.170820414306526,52.07363082669026,53.99344545258466,50.81939907743079,51.13208054454116,49.102247410443326,49.03133325846949,49.9881874390925,46.33351387718471,45.96649121661992,44.23940583092981,40.08705585211483,42.30997415325137,38.075214578278484,36.43102424894538,40.0490414627961,39.654597050987746,35.12100260543276,37.44861041066001,39.6236190358304,36.60108672519041,34.005147045822554,37.0619425736633,37.45242621145185,32.91708150799071,34.3341929228821,38.49461601830153,40.268063963299774,41.88583711401939,46.64165717626267,44.47684823482498,45.363438543723035,49.726820488789215,49.87668022518204,53.42673040350531,52.2115134176238,50.42057867835967,50.98940824291824,47.60611068737674,52.53900195627243,53.56056574791016,48.82348424240743,50.15612806628736,55.27381670829898,53.25227582469856,50.52517363589144,53.41245222839201,55.99480971143184,52.497967026544295,50.46012173516412,46.716428336951424,45.017206776043196,46.61289982676462,44.384703762951176,43.00710517540772,43.03645564388915,39.19268819414951,39.36781525622584,39.6020395380836,36.3041121642458,33.950299218602,35.79637969185692,34.30105715788301,31.24023766553294,32.65271299980419,36.351650852083196,34.03846197765964,31.222719223921818,35.96508197137155,38.73370049413668,40.29475114328067,41.91633384290556,41.13333718937829,45.55920791371475,45.61870220633142,42.144136292247985,45.32591000875255,48.41899428190932,46.58502893177584,46.01505479537,51.39330167650727,52.287636719189265,48.495951939579406,50.229026870757586,55.166929617602364,54.54785102052279,51.84017506539183,48.08358183443614,53.17979839966103,50.3970654943505,48.943675159611075,44.46243962479024,41.78741315271609,37.21533884512784,40.306271194488474,41.7090613195966,45.49367294376634,44.73333654714537,43.22575546618324,38.56935521031807,39.054556665397605,34.83105113631551,32.67192886005443,30.9128844192502,30.03419586081926,26.33058169998792,27.93007861231224,28.5091076836946,24.273746450045493,23.61704691737985,25.952643375081504,22.999231377352157,19.606044240251983,16.795860257715695,15.68559411255566,13.122413821203246],[30.75408154738996,31.657703717525443,33.04877624170863,31.57444189804464,33.234947993093556,26.864748013771106,26.039403986805386,23.60491439666367,20.31569892615671,22.168158266031995,19.475305238056613,18.196424279922713,23.622217769293922,22.780873244736487,22.380775505217525,24.56980897024152,28.055803116194223,30.39840317040557,34.674991072429044,36.740949902421654,40.04300874591207,43.9459637716485,45.39684634120471,46.80452533202668,44.32531607253404,40.34904889867334,38.81931077554941,34.884286330805686,32.15671036919203,29.51019926211741,27.31196822884176,26.90277918818849,26.27133348716251,30.31124280690712,31.572901481816665,32.86271423826351,32.84718691035621,37.13146604349613,39.34042435730473,44.99748143345865,44.50378674207781,42.536748711131914,46.06212786134185,47.973186377384145,50.63297814270244,53.23814387005028,55.39188634430168,52.980845312721684,53.553767156696814,57.66780248498061,56.50039743475483,56.79594161279787,55.46694064542704,51.51476035785721,50.594891914295225,53.56279947823734,51.74824677692005,47.604335745300034,49.844189304649426,53.04727246877659,48.5315941020558,46.6189896944676,42.70564719529342,45.096404838942796,45.661400486971836,41.77941644251659,38.6223971980186,34.34709811493546,33.17814517484064,28.674028835132493,29.583004978177833,30.22089056042531,29.988045329907198,34.57055887266799,32.31735400490435,36.39911767978988,37.95447935798522,37.98634386324368,39.318999257756495,42.75993121631873,41.05053614374422,43.72091352367576,41.097841516446145,44.08011984578686,43.25644837111908,39.34313986776113,39.86837513699845,37.26465960042576,36.78781248609671,35.10903786304134,32.773751107225856,33.08686160973972,29.02005869861036,26.079117301974314,23.582153294006858,20.753980294643426,19.37668011337321,21.232019000692404,20.221596409789385,19.857197453800495,25.156500828520258,27.08414647916948,30.75207714970048,32.1707673608731,38.10377623719903,36.078696052804524,39.08197421458236,41.53635320756189,39.08786639053278,35.66521494873596,33.12991067851149,32.61986688863003,28.53516326725152,31.403549223392293,28.70922377003574,31.80871263634638,32.35159724518793,35.91979800422456,36.23865481781513,31.67128015404373,30.68632222425786,28.19643630799439,31.091992373156454,29.773921046717124,28.02823252960468,32.68802288996794,31.71588422826937,34.873824465082905,37.36782954893915,39.39129429096259,42.78456691372487,45.332314858556536,46.88687403322328,44.335886660337586,43.719551315150184,39.85375501459524,41.88912414657401,39.79413663730816,38.86724005901565,38.65998194899005,41.191395697358345,43.64043650912953,39.8727237430808,38.19350146521335,39.28825873102888,35.26827287446297,34.07273849433176,30.786187098707433,30.5192295265381,26.426155624528157,27.036077240293718,22.167137345616325,23.562128861282535,18.87708279957125,18.213135670422226,21.904251373976344,22.978367250274204,26.709457462749842,27.688737025111294,31.98261135609031,35.53614997440649,35.672433560310026,38.58650915876201,40.97514379214272,45.02860239805459,45.92302322143753,48.19289185456841,51.76458842040858,50.20186616515755,46.66173727125617,45.388200111800025,42.17913554850857,42.572046267176155,40.854455338604986,38.97856265006907,37.467520622841356,33.85680275953391,37.6995326295699,40.42807577710316,41.75683615853856,43.77087212569636,40.31105802806158,46.16640289233442,49.58261888558381,47.657986173712764,48.81811517050225,46.85142417892123,51.26814701345286,52.73169885995178,53.95060919130251,55.896009826166484,52.89445729559146,53.23566225513722,51.2693092140835,51.366131124293126,52.376027368834556,48.54521303904001,48.46066376503405,46.64350957249342,42.68888561897189,45.080468469656445,41.015776738218335,39.04250183126066,42.46789264167365,42.38340611113835,37.70076887345378,39.42815613155726,41.89816389823214,39.25785160785854,36.08216772011987,38.9493671813008,39.56368603570811,34.960412544454826,35.836774582797425,40.06083405108759,41.849073831594595,43.81183715629438,48.36376388986313,46.54988638622993,47.642554801445385,52.2051241324276,52.51172453024903,56.18301685626231,55.26645050151396,53.510976443767085,54.29073738789728,50.95158235081804,55.89840019088115,56.70924399306878,51.765145917570955,53.29317528101681,58.311049850464805,56.022536480918305,53.29061504646568,56.22768305825359,58.55634670133235,54.89992192802898,52.89142056877702,49.22526320369602,47.89268075015957,49.7064272328201,47.59068578279201,46.49353641842481,46.73178262115643,42.88674096740737,42.7256112378571,43.094727900848895,40.016541977487115,37.382086608550615,38.977991908352415,37.69032266656262,34.56369324276293,35.56948599736056,39.45071234611655,37.174859866663425,33.97518848323771,38.61177675582362,41.58204139806057,43.066361538596084,44.98011763913846,44.29066958782627,48.75707818612332,48.53146394742875,44.83133263240056,48.23988638431774,51.159811704747334,49.09145139299257,48.51989191411809,54.0688811734656,54.65228103713854,50.628985444299126,52.53637795343856,57.50861105338718,56.59139703172783,53.71390805896022,49.73059401725417,54.68917272734958,51.6033946565819,50.33695568782181,45.66940057598789,43.37444660420497,38.64032494970491,41.31265422704624,42.94250196464325,46.747240576529556,46.221734564684255,45.12558078682079,40.422512955846116,41.26707742164707,36.7961233803281,34.768315009933296,33.6259930199562,32.955064121027654,29.355358405413,30.284802299134654,30.873747004926052,26.886493941224185,25.75582421894745,27.634737779712836,24.98520456250343,21.964138250348586,19.295423436186436,18.46637130087184,16.136577363557972],[30.9277401576815,32.37003013957517,34.4250737547921,33.23725368069009,35.5821422657731,29.11826729334337,28.947298430363745,26.766107715466404,23.65364142941262,25.999000099290143,23.647291370362836,22.531236748941595,27.977444650511007,26.99602785503453,27.03052427392355,29.27421831443704,32.57426098875648,35.08055719083345,39.251414132457164,41.454801824344806,44.75050361387276,48.71180985211966,50.08680080520203,51.38534991674069,48.92749769408521,44.87388182836126,43.35485039926462,39.35156117070805,36.79699948776539,34.184871954500906,32.188191079334096,31.694357322436773,31.122004396407032,35.20149405748408,36.442738815554776,37.71241980431767,37.5857933629768,41.844100917367285,43.94239791511113,49.633901995905354,49.0468561996937,47.236616928804594,50.831692880681146,52.649195497521596,55.26926865685616,57.780710761166574,60.00999215948296,57.6817679632245,58.118065568603384,62.27153211564635,61.21912506401893,61.495732079884746,60.23008113704445,56.24928299963838,55.36673832627548,58.39906027011873,56.58934393111069,52.45832216094537,54.72452090480479,57.93087764165123,53.40887251415955,51.52147278929409,47.614595633081045,49.94916283871767,50.51073846892739,46.64372547278095,43.3906970160494,39.14933915691327,37.78941563461908,33.30705128597928,34.033315827403484,34.532358942136014,34.573362046150514,39.21016150680585,37.13100398026778,41.21537633898756,42.853542713185654,42.881929625645846,44.232486508356104,47.66107700306913,45.885005090630656,48.48327008866247,45.73402130748042,48.6260440862006,47.78698146984528,43.986277938229044,44.65490876474116,42.06309244079561,41.671831102338295,40.010809893989986,37.68774350483286,37.929617175179246,33.884132830791785,30.974198789162056,28.49140524689226,25.64872803024427,24.20216725933858,26.076975139028615,24.875425708260714,24.083689896708847,29.67562867402616,31.10119709704083,35.10021894467517,36.079128016162045,42.017809359421555,39.69969982933094,42.423775804487924,44.786478123583855,42.075418251021205,38.813476580041986,36.15076606596049,36.1293427542038,32.03078010693081,35.067075055214794,32.67425220898921,35.673912589993755,36.51287164139926,39.92435369263359,40.53137972387744,36.07716004173443,34.84357696693734,32.24617032512149,34.76434160435556,33.34001289790583,31.37965079897524,36.00238979557227,34.53667031660404,38.104561078992454,40.50011110055512,42.83932261286901,45.90853773533694,48.504992551813395,50.314535451977896,47.95467204650799,47.273462964348234,43.42165943040747,45.04030747817097,43.209509901098976,42.31601099947548,42.44431507962984,44.96100389801355,47.68281888469267,44.06941568320684,42.31841047623944,43.635871044173264,39.663820450964984,38.27194364367572,35.00029464590091,34.53878717909441,30.267693746572878,30.571176017983205,25.660833198287147,26.860608381788396,21.682522111984067,21.845015298372253,25.808087537513146,27.132351886642365,30.613584864564114,31.98485830312713,35.926693525227975,39.556442239963424,40.03958398262827,42.71552435121985,45.30700422257948,49.1483296109215,49.788008039326705,52.001448464685744,55.48159207148173,53.67930136368348,50.165613003852265,48.949305040290945,45.9127353749457,46.558758021404536,44.96267207076331,43.25028504213583,41.72352690729318,38.300191587611614,42.12507593690268,44.870511566394505,46.04611060541274,47.98364103006289,44.24860512590623,50.08421653023495,53.52663065020852,51.650211247262376,53.10234834377725,51.2761623882534,55.70884279887692,57.04370835703194,58.149224925798606,59.9517718494244,56.89559805233479,56.99994559747944,54.86911213789424,54.80281258688458,55.554802809495285,51.56947130422521,51.31652693419588,49.16582363098898,45.303065265146046,47.29977296953602,43.25134032975116,41.377624944052734,44.41606491803042,44.09084265765121,39.40920620855776,41.04441834741458,43.2122167051114,40.385940755973785,37.17623026800884,39.80207903984292,40.10562410750695,35.485802267222155,36.32659249373492,40.24525582062753,42.37170654925747,44.00544949869456,49.03047516840231,47.41092056541957,48.25407892077848,52.9922966560756,52.9793763638709,57.022599721820605,56.26106210113796,54.841330315512444,55.85737816223057,52.82409866741361,57.869029489377866,58.41876427621104,53.669211788217815,55.487215159137264,60.4114546866246,58.030419170644,55.5515749236531,58.72012638288548,60.77184422793097,57.00520148504833,55.495342074281886,51.51422046182886,50.56680857517134,52.22176527967753,49.77162124309894,48.83092073010405,48.753680082190606,45.23919597934895,45.00335123321487,44.83410227369642,41.87636433216647,39.48169915697081,40.64505674862758,38.98821225505282,35.807605714397546,36.747487075021766,40.32577625740775,37.740614098140526,34.46277443820086,39.04918765762364,41.90597554170868,43.675885805497565,45.86051418039273,45.61609535497522,50.054531911658806,49.427410856174966,46.00324634422281,49.73952959233069,52.37315553199103,50.20790784324157,50.09876923390437,55.58602764174193,55.839424281522426,52.000035659923576,54.2840375019411,59.02468062547272,57.867302942467774,55.10723630401256,51.06959168809688,55.863599531037764,52.671990126428824,51.10112794345055,46.60112006327294,44.49669607381435,39.76650602206467,42.420022621761944,44.36961778526032,48.234802477405445,48.04071816558588,46.950397308590034,42.60014005184559,43.761613519451295,39.463128526879984,36.946698852098706,36.017337324190756,34.95709268713941,31.770073933925065,32.61768407047346,32.49138808767148,28.52099765195663,28.053669934618018,29.08664748028953,25.90472099040088,23.39018404404331,21.154769850744007,21.0142816438981,18.771168304074774],[30.388236474056466,31.67649448332696,33.80880072854266,31.812483950402694,34.43006042898994,28.188597437698455,27.860821310328557,26.33209672090622,22.554711637523187,24.341073118215732,21.98028142667709,21.79492506299156,26.714063225342887,24.878067114482903,25.287177010365568,27.962705365398616,30.762193535358215,33.14197590659896,36.83091007520931,39.515400590338096,42.56097417536288,46.746350443144564,47.77495791602512,48.88225796798779,46.67535253215998,42.46636718223776,41.309607450975975,37.36123583266467,35.176895754873506,33.10474818719952,30.895615242560986,31.201387699701726,30.92321670002567,34.75621203234494,35.877701860430406,36.61347974098775,36.964623306176286,40.583991631770516,42.58560490264024,48.56853830438455,47.42561642883431,45.48656374199807,49.29030571442174,51.126232092326084,53.459068413786014,55.924811368865484,58.1741190959167,56.12646607318149,56.63424541349693,60.867701747350274,60.00811093948228,60.54653938777976,59.33232070555855,55.09993679803345,54.64772330330106,57.55505198204865,55.37377997479021,51.4261180001695,53.89458784734639,56.76986446988449,51.96323842649365,50.127696402888816,46.35589572566454,48.209961575103115,48.71539988900062,45.03923074941524,41.2628072662526,37.20951934087478,35.25396278208908,30.871849808362775,31.16950496733419,31.398495114285033,32.00089421000628,36.740301716715855,35.24062263377219,39.63018834104213,41.46852606993856,41.96171353755917,43.38315031943165,46.789159925016975,45.38757339822443,47.8707652783779,45.561841513693416,48.312171167864065,47.04617360820755,43.294977924622565,43.663064313271974,41.592263228192614,40.597475119499535,39.41845925450308,36.6084789986824,36.766709409612716,32.746598918320636,30.18810019963692,27.438354445021716,24.501385666739896,22.706328060272753,25.69984970669023,24.76519094817114,25.100009342720696,30.050434985590744,31.973687952952115,35.427231121059265,36.62656270840168,42.411552767471974,39.91353519167013,43.00788325645268,45.050194777748544,42.19690700987071,39.14745315488165,36.065759700241735,35.60871796681299,31.197914756896836,33.73632918849699,30.949294895253573,33.567244843222916,34.30391773405855,37.32599148596472,37.82682144005455,33.638527258295014,32.101201616185875,29.686842554921917,32.06039397382019,31.03137426414685,29.491467462430254,34.421992732988905,33.653392980806444,37.22977046887139,39.948178074950256,42.53051231902656,45.38026994021716,48.35136416093981,49.810720782012794,47.74765854593157,46.48474567792927,42.384802119336044,43.81001956672948,41.57110270023677,40.24447914743543,40.478967147540786,42.44773851020628,45.21679003547196,41.71677415580498,40.229972029877516,41.85489289582128,38.098932841248626,36.65049410502131,33.802300827560785,33.791507858589135,29.617811033484557,30.63481213438924,25.941947169300814,28.0697047449827,23.44944029863317,23.21329939248238,26.72891166437903,27.285498643746095,30.966043908450974,31.759632034235402,35.79940610995236,38.79866145919909,39.0525818731623,41.24700474705041,44.072207800753596,47.76979024924669,48.013982129486685,50.61398488507144,53.86615242878268,52.17895328297587,48.47251426014719,47.5653867878444,44.43648751662318,45.468795810783234,44.17754465412867,42.661110831265034,41.59494141099485,37.98822811781767,42.27579936468559,44.541084681202065,45.988819669001366,47.42067718542425,44.029769205430576,49.80925151571675,53.104265686020284,50.93079724846201,52.21565214521374,50.133837967425144,54.52520843716113,55.52043305270816,56.93290084664478,58.7378067767095,55.89555002521811,56.03806492690432,54.013460918403226,54.16743631905034,55.03202991239395,50.91456131154707,51.04563541262647,48.92342331121124,45.30129225658408,47.64450177200859,43.8423069600723,41.54297561514935,44.48546082536634,44.66208370244316,39.85645934660656,40.79941594916063,43.44534715444329,41.23594183819023,37.38729859338983,39.88095518158455,40.64226199855381,36.031733478711,36.22764146211177,40.344829195790915,42.24280012239102,44.48269387020018,48.89775344833555,47.606306712030765,48.84906988732336,53.68499100063189,54.084369231928385,58.01477176042139,57.56233794794729,55.99533966494987,57.161762950445066,54.04360300073604,59.0313733354937,59.42072482282434,54.328296373089735,56.25340251106285,61.05934261928328,58.389649338748114,55.807045983392435,58.92448394396121,60.760962428248334,56.86808509203227,55.2044312023124,51.470872032258306,50.833203644197866,52.81425126230329,50.6732580407174,50.04939357961089,50.422756464717295,46.769600065912506,46.1001023657077,46.38699502847985,43.702217495989615,40.81264971565634,41.85707603806025,40.71511564717556,37.52140479271788,37.95313431759852,41.912332538338816,39.62859705556677,35.94931783255076,40.35040826940723,43.51537970894293,44.95987234131213,47.3322931261298,46.9387729661509,51.410919173988205,50.650961597593415,46.79711993146444,50.60308486279209,53.15228246816643,50.762104667431394,50.39669587916596,56.08734948906048,56.12837342746581,51.93586920626262,54.21914625148601,59.08308634907152,57.69792145940855,54.69450690723178,50.455678995558756,55.13208955800168,51.67454005223977,50.50046412644955,45.74385632582607,44.00210301358344,39.15335250913021,41.299616597402846,43.31719639722315,47.12817774832213,47.04773807043625,46.43696680626233,41.93166352331335,43.363584499391706,38.781634879630964,36.64390662980261,36.35650311925718,35.74132879136401,32.548857200891355,32.628509159661306,32.85181409102258,29.263019733108443,27.957443245294208,28.839165091619243,26.406059988824545,24.12603076880781,21.92528361320371,21.781603888775518,19.904537127937928],[35.48260282961633,37.10454767798648,39.613004049852876,37.62413824527709,40.55664742866703,34.355008400621024,34.1574372816927,32.683646067585784,28.892607146049077,30.516969637006376,28.024768135426893,27.863593692873966,32.722826806129376,30.703269713234658,30.791945941561053,33.553110633824375,36.427210437901124,38.425857144759064,41.86300136469692,44.70607612940496,47.48057288775292,51.71982129942764,52.56926976468228,53.78868896643673,51.84709113034456,47.64592058137821,46.7897686798527,42.97576811679394,40.74507174552867,38.781684492243514,35.943190770117596,36.62433117202058,35.87890946621941,39.41659500921241,40.9834490991113,41.85127154559529,42.51493234041199,46.1363508290319,48.28981819533439,54.27004542561767,53.10575550156811,50.85305803725908,54.592669317827585,56.62943379722814,58.864340620316526,61.431408815577576,63.548243236323124,61.52284921903636,62.279367614656536,66.46880138073062,65.48398794822305,66.09918874779547,64.76100302298296,60.58422907719117,60.060401560516794,62.758393402713224,60.53396828550207,56.586353265813266,58.8750880120924,61.680501881609835,56.83654315885155,54.66025558773774,50.8422284491706,52.446748995429736,53.32905597031876,49.86494213658954,45.85339308989133,41.95705237393788,39.879225843722274,35.55689059727925,35.68614727565132,35.355011992787134,36.07295278723102,40.815096882439185,39.593846843067894,43.55639361992382,45.95693382115233,46.22975160731816,48.057794737064654,51.68687566656181,50.570323501849245,53.326435423352606,51.16796135986799,54.10325848663522,52.90916314950251,49.01138017950712,49.09225551254342,46.925148988982855,45.65800621734006,44.0694421328492,41.146047696096105,40.71689011746852,36.883155244452844,34.58062590041179,32.35144451843968,29.07244143266902,27.844564070699644,30.94335450003402,30.396040242802563,30.652053614344695,35.639302906954335,37.82439802946127,41.256522569412624,42.69545619111665,48.53016683801183,46.17415930108733,49.23607563254875,51.35029739306407,48.50708125747993,45.43561531252928,42.39345354890691,41.94984723231577,37.533634731420946,39.98760353110048,37.039295319199546,39.535276894440884,40.07642959814108,42.930523377769624,43.07301994127533,39.01004937129497,37.492340331570006,35.331342990725936,37.76227575887801,36.98862934836841,35.63949777073317,40.63393582357956,39.93790936434307,43.556046060018105,46.28843653580312,48.87272782960358,51.716037226469126,54.69012878839113,56.15174021540344,54.065215032373565,52.8044261142469,48.679869199637835,50.064419704930295,47.745116578318196,46.26997148044419,46.50379409715915,48.18838778480594,50.8623727908675,47.351390140383344,46.071201380878264,47.68308760591785,43.97470469544106,42.6501679435909,39.89964690678469,40.01914787570686,35.903779855987736,36.92598766274269,32.18653989592198,34.05451670043216,29.20551197813433,28.973214265068574,32.619819672887424,33.336014835344166,37.09293876465263,37.80377517482125,42.01845541253627,45.02240514559905,45.06919746028341,47.31802845608026,50.07176258307716,53.85476409696443,54.07182576176722,56.797254520401836,59.99755083021952,58.36623339735963,54.61000477496716,53.78824323129198,50.62277243697814,51.66773314308137,50.35821880769608,48.75294056848784,47.644848515005535,43.91341360983399,48.07789505325555,50.463990848904,51.9958625574192,53.54628508933492,50.26454639097841,56.05636502894194,59.34993112150647,57.15860666568642,58.284929961175166,56.06581237948432,60.42775612636222,61.43134152932993,62.99670166520176,64.86836758656709,62.08284425860497,62.2999033495183,60.315485052893,60.49915694266725,61.36461080740535,57.225620769400024,57.35102384512005,55.15902081692302,51.56227062914484,53.78379870315384,49.96473974876919,47.73195066328715,50.54561532112209,50.60573320390658,45.81915634292955,46.7188437290866,49.224904532054836,46.89967781721241,43.076703295658746,45.414882537160985,45.9883159490991,41.39563327938935,41.54180886283832,45.42639325321683,47.530432862212045,49.56781143912174,54.24677347015757,53.11468663136065,54.2021868799432,59.12847283001465,59.29895403648281,63.46140657305116,63.061960749943225,61.690834694689514,62.931987878099555,59.94498782689344,64.9750436677789,65.30042276064063,60.3297828483794,62.33657879525886,67.1255425801798,64.44795091159841,61.958392631741425,65.14108681270686,66.8970321651373,62.962334919863586,61.452051163914405,57.6391525614164,57.08873181995715,59.00215177806122,56.73139754207695,56.07206830053658,56.238581289547064,52.694261770479194,52.140451381819666,52.16283403479379,49.42102315629384,46.751681208239134,47.696681807181555,46.288558293734106,43.081266394966406,43.600734538730336,47.328818380677696,44.81725554058335,41.19850151288135,45.57871291680387,48.60986105308854,50.27630910169966,52.76287098945194,52.61434693264535,57.06093896144339,56.123491194213074,52.473156890631145,56.42207219682456,58.83694936717711,56.41186071935669,56.287018914492094,61.933673282268956,61.80575383004235,57.70844703231596,60.172533338976066,64.9195808314593,63.392299254762555,60.43503995220439,56.1506855843522,60.689538197329895,57.11733855432534,55.83525446876405,51.162239403716065,49.61751764296583,44.78147968565432,46.79540239220105,49.007827956381625,52.819002021511736,52.935306907418244,52.407623620836624,48.04197511680054,49.594036794059846,45.04386226416018,42.79804536159735,42.550317708699176,41.77381584096261,38.67910101966351,38.83563683940824,38.80244265413038,35.19042399772462,34.16792578383885,34.74630063333353,32.064168204435646,29.992885690016216,27.930307347974654,27.89494029190545,25.86725113377242],[31.767227329378393,33.631378799295156,36.61889068920405,34.52713963453543,38.11174890086246,32.100579153789624,32.460336393402166,31.60567167539448,27.822961204401235,29.783440603286845,27.854355375055917,28.21496974258028,32.816022658901126,30.479728137822484,31.49182004013966,34.36546370005415,36.679954688822015,39.12256090054569,42.365210450833246,45.437099895257546,48.29130783860319,52.63197244535428,53.35251605544964,54.203544112799776,52.20130441645354,47.86163004589585,46.94764748997455,43.01037868834702,41.25116698720711,39.51872084557877,37.430215822375665,38.02554385471801,37.929924822765514,41.667156916806604,42.714450967529025,43.16193890333898,43.638997054973125,46.870474200012744,48.67904580917152,54.821805033863896,53.25467967636505,51.43681099807324,55.411226222328054,57.14157589393115,59.237600455372416,61.546474522519645,63.8856112965545,62.12082016952201,62.508087043314355,66.81346698498255,66.21180585161562,66.88520686099308,65.77905482372321,61.37406961179307,61.21841763436298,64.12489299673769,61.737529127147646,57.92193575685149,60.53035332852972,63.209880380485046,58.24707336487191,56.471347356113796,52.80184170918015,54.2999616100363,54.77441449749169,51.257492838875024,47.107848148170376,43.25058960970271,40.78347560096492,36.571336443425196,36.424837899442444,36.323350786449055,37.53542631547582,42.2997033408845,41.33797996775788,45.834146889875264,47.86714048053367,48.59620473648971,50.078020953719594,53.44801405139317,52.1860356870913,54.52203873350938,52.321207531418764,54.886738749513206,53.37343133674951,49.794126853014966,50.152515837973795,48.38169429918364,47.163592227165765,46.24952628156374,43.22034896650337,43.24594301788407,39.30285760909797,36.96902902021171,34.15197729232749,31.193954328591417,29.239787622019158,32.65580077583613,31.66692546704082,32.05295660516058,37.00210831499064,38.65555159409601,42.172260445981266,43.01865744200311,48.69579990158381,45.79431441413125,48.75165140289171,50.48823077845246,47.273745361761854,44.56860141006789,41.150446757393695,41.01596782794274,36.504390307425915,38.905257641188534,36.30565889955169,38.53408514903044,39.537718361653646,42.081805870008694,42.849287895357804,39.03397086176424,37.07759670577077,34.71535725976073,36.48969108366546,35.59936016818969,34.09792060667308,39.02380055986072,38.09564785694953,42.085892315754855,44.83149801395493,47.89394105968312,50.19450776681811,53.418879700405014,54.96111746183085,53.32192071877262,51.64817329876531,47.466223599578,48.24657180759637,46.11781132922044,44.5881500161373,45.293880050841814,46.87021284134973,49.961178529172166,46.77182238340847,45.38162645996603,47.42385916501549,43.89493141721274,42.21498534759172,39.65830082617858,39.67116014107696,35.42595458195286,36.45614677793853,31.906779631110712,34.228548836280346,29.450644026715576,29.792366289646008,33.35072325304165,33.815312144592106,37.30245741802815,38.21289226135494,41.892687587147755,44.607876225948004,45.12211836436176,46.75175496741702,49.914748887716726,53.24390811657662,52.93600679922581,55.67862794565349,58.64220809292072,56.74545790138447,52.99326046070815,52.361846542923914,49.42594387477744,50.979286981530024,50.01841070759333,48.81029311437655,47.98211643094623,44.50360824139119,48.98963840385206,51.010510227846396,52.428327059495366,53.48415473934714,49.995756847086795,55.6806960666108,58.89950511028844,56.62008089614497,58.144059484449734,56.089627285571126,60.447202763364,61.074407145373954,62.530030524882605,64.1493581216152,61.394502764900466,61.2656379599824,59.12010574867762,59.209183453088116,59.81778412340087,55.46418449685794,55.62659988449998,53.12858253634191,49.816408186590245,51.858654729688666,48.27849839110136,45.87337365509891,48.2285356480407,48.42068525538453,43.62052096702508,43.98217597136525,46.502052185514785,44.50272268251605,40.27756184591055,42.30423138532939,42.9504103924121,38.443759628812835,38.13963902772087,41.86542245175147,44.01900287178787,46.19643539251197,50.7387171440864,49.96584999008811,51.131672408288644,56.2009496613296,56.4582078729368,60.758311188641365,60.72735697281211,59.514693008387646,61.072015240819546,58.31283745518784,63.34613597653012,63.29647975830287,58.272211356973784,60.617645053163244,65.19140973873839,62.23293911082888,59.92949083267162,63.280378195644765,64.60584281129385,60.522568950193474,59.41463644905054,55.4791999741722,55.526720287565915,57.49768444973806,55.156868496620625,54.92536954642577,55.18759543928784,51.87879064755557,50.86808701208766,50.779450907281344,48.4343351403925,45.57087009565928,46.011260491553266,44.755719523314774,41.546315595409816,41.576142833152026,45.32361369424523,42.89074299503181,38.93906939742217,43.04812234647606,46.20810636254811,47.77904395538002,50.58763326505186,50.66715342411511,55.069718695342324,53.71514781023461,49.98680801115133,54.20715271225271,56.29890711540921,53.66006189786965,53.73130387494125,59.41063663448885,58.86994390817488,54.73128155620992,57.48208277117552,62.07035582992239,60.219360830413805,57.24021483963326,52.846660772290925,57.14825171789605,53.40043420610041,52.11006569428933,47.484111965782084,46.296738120180706,41.48085066836295,43.18967336230234,45.64770580171382,49.42870779378863,49.87525454329989,49.60744659968724,45.535003848962475,47.51288231777298,43.04741610748478,40.5883359201475,40.9472514893741,40.1458568365663,37.4894610009915,37.04218925286048,36.615207962159346,33.381733695892194,32.40691454478567,32.16407864328306,29.64968746782464,28.20709272678802,26.604294033832566,27.16144453664049,25.586730929025475],[35.571384617748265,37.30430886179428,40.22099502711686,37.66020169386584,41.21464527950766,35.40087613675762,35.46750462829881,34.80233210735634,30.692519290590027,32.06321630965087,29.921194870731934,30.63392454784339,34.894094963253224,32.12061331832071,32.89142320142148,35.96406112730773,38.14077388403698,40.14666533626766,42.97040160484214,46.31396949533963,48.82190171677387,53.25686409517422,53.696419283254855,54.575350694770165,52.90537057620544,48.55724660925713,48.052588770814765,44.30292814362364,42.63174013360709,41.23540277726024,38.54147699309717,39.80056162976833,39.49042347340864,42.85088733053407,44.15263166518622,44.44607295899114,45.41212209233904,48.330408215669266,50.2388887452189,56.464723746501896,54.66985651401575,52.49795812247692,56.471159108761555,58.3861020860166,60.26823829156908,62.651636164120916,64.8502168095518,63.22093794640081,63.88579624990358,68.15826059506345,67.51388779932516,68.38039159773048,67.18920464864206,62.734257749968656,62.720981126492845,65.36941779225863,62.77672019704687,59.06970507723101,61.618788776803555,64.06696566530404,58.96845184806778,56.97056590157574,53.35821083975605,54.44662164564999,55.16643394725768,51.91982407820947,47.4085163830244,43.78675168390119,41.03095798151941,36.961456247119216,36.54409157883235,35.934394100434595,37.408961950305795,42.14432356201291,41.6304073848434,45.92120906006126,48.407067843654374,49.20285258700519,50.98985413596613,54.48943560150246,53.648486689998535,56.145241329181154,54.323622475669296,56.98353882834146,55.34036562058238,51.649835256367,51.59498391433483,50.005552147912724,48.28047304557023,47.306411873913255,43.987624395386554,43.58199535774497,39.823671158636174,37.86160987714468,35.319313937495664,32.13863077848116,30.476485006436597,34.40892783062664,33.883687253268,34.82553819161717,39.38634795777499,41.612932653173786,44.73402536038011,46.02368270842144,51.64846652739348,48.91726164689684,52.126120174800036,53.822799208851286,50.69049035163234,47.98521083963971,44.495908122576914,43.96050703272966,39.34410238204821,41.3728803472976,38.36152964620647,40.3442500387813,41.00872393826055,43.28221237284573,43.58673636594786,39.99082492415741,38.02630754083326,36.022684910157885,37.918991037206915,37.472209566188575,36.42402371079367,41.51494263520084,41.19000201983721,44.99525920404829,47.925291822584335,50.92974180442306,53.280881375194866,56.63627110125464,57.89808519697252,56.28441704695627,54.393138691692364,50.093054716698674,50.95721955962586,48.46113274032128,46.61069356859116,47.20033286604305,48.294166523047096,51.18625248881201,47.99244002479265,46.93032410590526,48.99563388547895,45.60833949262049,44.09390145579623,41.818310965020785,42.21156288579974,38.159348324311296,39.61514337193775,35.15904875883389,37.72251707239259,33.18639082731999,33.069182462274924,36.42824687106778,36.5967034065095,40.29790877597818,40.739962253699694,44.71269442789267,47.10928252932368,47.210396571747296,48.75539524729158,51.86253230456894,55.2683721385832,54.875496554526784,57.90968500211005,60.76022955197994,59.08576491909179,55.207949501946686,54.75839764342214,51.682547097242626,53.295486303234995,52.40767667883967,51.154171773546295,50.51103346613009,46.800963221881574,51.385692190944376,53.26135890374336,54.923613063571494,55.86896929439749,52.7540646604951,58.4117424168228,61.5409358525083,59.099867888150804,60.28688427063676,57.955043893659564,62.24346545923777,62.77373896407733,64.53838603195551,66.27261603691167,63.69306424608743,63.75507849574091,61.77449861706702,62.06496190796499,62.85057960077707,58.51043821709246,58.92186557362445,56.55972887218441,53.32648616201005,55.61979361644955,52.12104326289393,49.54690816633706,51.964711838756095,52.397794026465945,47.564948081530446,47.67024969188397,50.43567766369077,48.68883713397139,44.26086889966222,46.25282814015564,47.107756174152144,42.62724200517154,42.06752247559503,45.8642547092395,47.88470986297895,50.33011147989779,54.55311001085005,53.92543395782283,55.27239507817585,60.34827775160083,60.772713264929855,64.99899939926767,65.04646138602547,63.737390888632596,65.28592523304101,62.42903457333241,67.420027947538,67.39358070605303,62.218272914823665,64.51568368658232,69.07361319261413,66.03816026926384,63.63081932875724,66.8860944685877,68.20031745682121,64.09612733015847,62.779447852559095,59.06021955823957,59.10480228631361,61.238705267914135,59.10085629055184,58.89110593470963,59.339871593210134,55.88811272294906,54.82814283461656,54.996968847738536,52.648942909416,49.63316730946921,50.178124998240726,49.10781307268148,45.903241532194755,45.85159019796201,49.73716870004868,47.40529230827905,43.3902583540554,47.456748990654305,50.6981727175207,52.15677918045826,54.97471899855506,54.93938579673661,59.355179539278694,58.03279003755888,54.13770900421575,58.315063692224264,60.426636173733776,57.72561705408319,57.622830588368736,63.380564723687904,62.80392909171113,58.49609696189516,61.175891750932315,65.84820128620619,63.925473939957904,60.81800267822653,56.34246948063374,60.56828981114286,56.68536940575417,55.659336908117695,50.9092110537263,49.91979000102191,45.07563791874622,46.47904670095952,48.925684771107754,52.63751526018918,53.10141451901425,53.09860901525917,48.88908702980311,50.900705245521664,46.265851639468885,44.13918227451088,44.67126387854413,44.11771258236829,41.324919775788516,40.684181228404505,40.56757126534491,37.4425927915134,36.03776911584293,35.952929584523766,33.80399009359832,32.31109172385785,30.591302757843366,30.91254049874353,29.317624158203362],[32.64783751602292,34.545277292571555,37.79706475991662,35.20021499154032,39.22057522019122,33.6185277360923,34.1204672298002,33.91210813644077,29.90106396073951,31.5393966997346,29.8622552859478,30.89346259701392,34.945830172221164,32.030511634180215,33.47843467132032,36.568481412879784,38.338793331788395,40.70136208607294,43.41489031217754,46.86530502661366,49.46265254792184,53.934692561623415,54.316553577528154,54.91432851950431,53.16261665445505,48.7386299422192,48.14203564406896,44.3059941150055,42.981864125684815,41.72148079869341,39.66055757227786,40.75860555703341,40.928726471479465,44.46085657278431,45.356732140173584,45.372696876557,46.13527972746846,48.794842422040844,50.42861435572013,56.73068697669134,54.67585067742961,52.88029332521595,57.006531079318854,58.665106938119436,60.46498228234723,62.64043285487156,65.01711143993947,63.56482610397347,63.920891890191434,68.26971318664462,67.91408423210683,68.79509738847061,67.78809157286126,63.190655090722046,63.4257808775416,66.24892006311495,63.57431959972051,59.961401530816836,62.740899452607174,65.1212170262954,59.97278920437325,58.30558090640192,54.80594949304097,55.87492415560762,56.259052689825474,52.94986258723514,48.41588184450538,44.810563568097734,41.83607579343399,37.86314712136367,37.28955064946682,36.931251990501174,38.707274566319704,43.42216590463038,43.02867869196717,47.70301075684219,49.84463126262663,50.950097344721826,52.43837373441367,55.720039280790914,54.719980921623275,56.88312672995784,54.99189612861279,57.362593409727964,55.509818328527814,52.08189929853215,52.27921715367978,50.95877650589899,49.346250085900586,48.86364479161196,45.53064444453305,45.51314763930579,41.670951180762856,39.64130004027805,36.676245401110776,33.77694885776361,31.60072794747316,35.63042184688304,34.751260374346494,35.70650080861401,40.245585783442486,42.02371604054796,45.2217781032761,46.03710000043735,51.516300117044395,48.39218575648596,51.48243750150163,52.89461575312377,49.50351647816342,47.0889752592994,43.35776348533607,43.08498326909731,38.45476651619343,40.4524297835293,37.77054966359801,39.55526614110539,40.595144299751574,42.64393965107423,43.47222569766032,40.06497037619448,37.794915429284316,35.62307646352543,36.9866792033412,36.415584027516196,35.22772871270267,40.194040654522766,39.65445458048227,43.71447576661149,46.61626467342192,49.95807657152285,51.884853914697466,55.39663445211272,56.734271022391475,55.459588439914896,53.29125227579938,48.98637712781052,49.38227385002159,47.07875400974862,45.22855424560811,46.18372856345731,47.234668615738826,50.44684534504051,47.518823310062224,46.3452762575013,48.71497856863012,45.46836179157413,43.685692557895756,41.543454026820065,41.817498676924615,37.69579899511151,39.10508335123757,34.832335448343954,37.66422504712368,33.21972392671808,33.5289453585681,36.80623131867993,36.82791899866408,40.27978582832617,40.90521739955332,44.431691575687125,46.62900506272246,47.11403349524757,48.20075775258823,51.59687140884898,54.637303945651496,53.862402058054705,56.863936120047725,59.533124601985456,57.643913112333266,53.80167902917897,53.48245188253073,50.61181185037106,52.58903356618219,51.95719998350425,51.00718924243236,50.55177065767097,47.07202747454163,51.847975198859494,53.46794005282107,55.012710349250355,55.60380245557404,52.317788903165635,57.86870760162449,60.93633044627537,58.45727193036494,59.96806444672,57.799878976314595,62.074581427393554,62.33171757145416,63.973240937446334,65.49915743823877,62.934765224229906,62.71953773177138,60.61232371286135,60.812638788874764,61.38758514953446,56.90637439148648,57.324737818256544,54.73691288368927,51.732883967264534,53.86302209805061,50.56198861736467,47.88769481592012,49.94011810597798,50.45920189409069,45.65705669156702,45.36441243121233,48.11023254149972,46.617588531629465,41.93325112587186,43.670158336314074,44.57166552353774,40.20237220466699,39.30640170228046,42.94467069363966,44.98423313892997,47.51765684881477,51.60797245507283,51.253416012338356,52.6490209780915,57.800075084231246,58.288850334839026,62.5926080455941,62.912914627566316,61.729880774993035,63.50555602264587,60.834699121300865,65.80671341616643,65.50012409970458,60.316583950299666,62.85703884958824,67.23470772232838,64.00685445042367,61.75559073312077,65.12836922693559,66.11516844653376,61.91612698353095,60.9219344862301,57.116631486172594,57.60921535144533,59.764476004324486,57.574777429502355,57.681196810902485,58.190222538925156,54.936914261430026,53.55067018315465,53.62631415246788,51.58512789487432,48.456044720298785,48.622098851423395,47.67027495162045,44.49316434379879,44.082146605363505,47.94696805282621,45.6965241012842,41.476570123757426,45.29981033751841,48.610567258509555,49.98327507851167,53.01857994055507,53.15234705586101,57.50714482292372,55.88383882465453,51.95762184214505,56.311328845435966,58.169534837840004,55.32565855601121,55.3753020213933,61.123851807452866,60.24253563817408,55.93068936038726,58.81568716371349,63.341705484030236,61.18729650221686,58.082977406828775,53.55084170073639,57.57795615785137,53.58397296615398,52.54922188994669,47.8658766197535,47.152059335062184,42.36401687664086,43.52635094483279,46.146838455285994,49.81313424626099,50.52740055092487,50.71109489343175,46.762637565991824,49.07992697566504,44.55685132465682,42.27121958800724,43.24336353074094,42.666264991743425,40.23050645863759,39.16192982841228,38.74210239893986,35.93699009236329,34.6023207754773,33.89844614207886,31.90859590077384,30.90847636258686,29.562381648022335,30.30884058438426,29.06371503516064],[31.143280940851756,33.36488166698266,37.071450461489654,34.694370908388194,39.22190722906652,33.827660641506846,34.877460806153564,34.99793577377777,31.264769630767816,33.29041320150203,32.04887927035936,33.16919391278251,37.141449550668725,34.27233476547102,36.22345336761977,39.24730146397997,40.7613524716918,43.442133300518634,46.128291281104104,49.59087982810726,52.290919649955924,56.754692932514324,57.13125962280907,57.514480583773604,55.668373137768484,51.21155948302759,50.48432805402872,46.57263471843736,45.493219087566175,44.252541519274075,42.74467536592706,43.569231341976916,44.05639391570905,47.76349943786729,48.3755313409597,48.26926121083222,48.77397583696281,51.33185974311494,52.7391397321273,59.046206753180876,56.859024037963174,55.42227447882066,59.6400737320362,61.071271110293274,62.841887255849024,64.83295959135013,67.36408807558912,66.0286750965249,66.09449937452149,70.49321624000346,70.36430606657777,71.20998784016255,70.35421550103742,65.68197010289943,66.05135034258052,69.04616783240257,66.3707901114373,62.805310196704724,65.73542522047576,68.11736136379687,62.97675428015775,61.559220798286034,58.126261170059195,59.24438324904626,59.38345928194174,56.00383144925038,51.528185025193835,47.9172319557248,44.85626041789217,40.956180686521954,40.316127821974575,40.16913195110889,42.10251973303968,46.78170218246546,46.407820141455176,51.30709932542607,53.17830602836504,54.43545106782052,55.69450888231319,58.812071403029194,57.61718244991516,59.523970956833985,57.48325668005493,59.62543562554392,57.6752016476459,54.47746082809102,54.95069593400671,53.75588779515414,52.34695136509438,52.1559519185554,48.894488140103256,49.15918337491257,45.25462033802676,43.11991202478972,39.89679021255944,37.20925605237064,34.72069960030749,38.62542126721013,37.41245764940957,38.13312447340495,42.79311455781431,44.05536944808122,47.4514955288405,47.76699720602699,53.13266091281464,49.66362816511975,52.519372726610435,53.71172136131976,50.077485563980346,47.93117458402401,44.05741935875552,44.18906206458615,39.63191650533178,41.709585258752014,39.451870525581995,41.111320604689155,42.52833773610844,44.41930218893365,45.743030990233144,42.47798851533783,39.99303808412608,37.65013442539806,38.52098617697591,37.754901129301,36.338541476635534,41.08310018219042,40.129051449103045,44.46689735066504,47.24580027843521,50.890887103510025,52.40006761840257,55.981283081105914,57.49706376740439,56.515337997341405,54.19963322539741,49.95786270635491,49.87935167640013,47.89266665269062,46.13937889398899,47.457638436485055,48.55802555056185,52.07107921009631,49.39395422771466,48.07398914220156,50.673455534340846,47.52691788659194,45.50641680428105,43.4108396179368,43.47056472717957,39.26610258968574,40.449960837048614,36.317555871455525,39.1658550513662,34.67426523658047,35.50386338368131,38.807676302583324,38.87719851380491,42.03961847384152,42.97392548118627,46.044656102260106,48.189963319743946,49.09548495663409,49.8375144338953,53.46064989271739,56.16663060839799,55.081099041230715,57.963561448446036,60.48120407861033,58.33648320137903,54.5833086799281,54.34082243162711,51.717371171289166,53.98503352011504,53.54473389375016,52.849028347367764,52.46802438664961,49.249107065555016,54.08772399742857,55.58155398541585,56.95188609129167,57.31820743712983,53.7852060807892,59.23316978268272,62.269629717122335,59.82542910548465,61.69496967080599,59.73981840690872,64.00280873829263,64.06098580046242,65.51921100297122,66.8305775399603,64.24090489601706,63.72582339018496,61.46008082968754,61.5056041542029,61.81055619084871,57.20658869672359,57.52444259629696,54.65789436774155,51.863399454612015,53.677044913106386,50.542275621304,47.889584390977326,49.508196905989315,49.959204554416104,45.245808084484324,44.66927852430552,47.211141039632906,45.825151684001774,41.03587029528223,42.45666344183857,43.22927310195385,39.016315341952414,37.88760203010235,41.19256842159486,43.374649166729235,45.770879433281024,49.94131197546894,49.8671043308978,51.160094642265975,56.388346974092386,56.77363072689783,61.2587796607033,61.835292127738036,60.89790664501773,62.917853604758875,60.527887525042594,65.49431683596512,64.88540967140618,59.82744234174284,62.639044734891705,66.82706088470661,63.45633499290503,61.4440490468393,64.97836430892771,65.62167600905151,61.34360477696626,60.80873178060785,56.82078073065935,57.76596969249621,59.83815437981253,57.47858240381269,57.858156559229464,58.26731555851507,55.31334921380569,53.69550687756808,53.48040455482358,51.718148533138304,48.64593929251947,48.37917177334832,47.370985265485544,44.239986066128786,43.55953277276474,47.22464815137905,44.94410798684148,40.618702625903865,44.172371991942775,47.43502032117308,48.84647763352626,52.11409412044407,52.55305169580144,56.808199933265605,54.81803243812517,51.037214235867225,55.607857691508215,57.14811920565979,54.19309446613577,54.56032442811855,60.21730278977504,58.98793776484538,54.80816790729101,57.97949075175507,62.25721175545141,59.85617965270665,56.84599211721632,52.30429800167882,56.08034917372901,52.01243642050913,50.816219486280005,46.33068309039335,45.89498545607582,41.2305887985227,42.22038589640162,45.069308677280844,48.686780049538726,49.71320971910629,49.994979938437375,46.44248877922541,49.05819517121374,44.76057341529495,42.16989367105268,43.477356571787766,42.72245699225147,40.72472092370513,39.39216951858179,38.47413299069831,35.94742712247012,34.97690109276155,33.544955494368516,31.492414284577524,31.057406916022895,30.15873793475758,31.38189303020278,30.401266838287324],[29.89089368200543,31.83711161979479,35.453935655338576,32.48813712508861,37.14023359727096,32.20171336228753,33.19662297507662,33.891097197366044,29.976840345520394,31.61344940429496,30.651421423827465,32.37603940603033,35.73211782782623,32.43322160596841,34.81682051864193,37.94758331414207,38.9128122520255,41.57592033967725,43.828769584723204,47.52750857291796,50.05267655613588,54.567376724734935,54.706852811706725,54.8357222812599,53.138008957507175,48.65323175140862,48.1247458500008,44.31955033452863,43.65446519807484,42.84039504417881,41.548205021225364,42.725097586676256,43.57592632414568,47.117830089605086,47.45208575691458,46.91232749179828,47.5974114493748,49.592484184186624,50.791576241711,57.18267730935095,54.586243955178176,53.256629319852415,57.587292234741035,58.88738051969865,60.40780592396508,62.24952411499395,64.83018694709162,63.75819917310166,63.74128232328184,68.16020189779702,68.2823673628677,69.29194699751832,68.5681407566025,63.75789588401745,64.47322485171091,67.41832170076721,64.52215260931945,61.16050968171077,64.26318538456638,66.3839729207761,61.132490821832505,59.933687583921525,56.69821977957301,57.51419627721469,57.442800997989934,54.20968961287885,49.52558085237761,46.13007037238386,42.71154320018159,39.068043297708215,38.11798032813313,37.957990650844536,40.2999696869084,44.862372345446275,44.887741124427286,50.02721098397,51.779240729417346,53.43076843297588,54.5503608055131,57.4879405191484,56.4650905831836,58.12554383328906,56.365176827536395,58.271236746015404,56.005878019684715,53.00363808697599,53.385767389474005,52.64567764704595,50.96189626747101,51.289669879030946,47.83000717101653,48.247409896796256,44.42453593742064,42.51613550091941,39.063368042850236,36.58841125152333,33.79732575938821,38.14963321253072,36.98512061342431,38.3038655167177,42.43350608324888,43.80249764294044,46.796251719733675,47.094963899108095,52.20022425386871,48.58199944987909,51.61240277081657,52.49189490245892,48.783029351385885,46.89502498871343,42.77828082743995,42.65941350037925,38.04648902697072,39.695028450798574,37.382671136972746,38.640813805319475,40.09361619044538,41.574083616711725,43.01535790352257,40.117022348411865,37.39207139732324,35.19544236850877,35.685063273150654,35.17612018470034,34.06651529611329,38.787718438202646,38.31380439522868,42.574460930920395,45.503221408858806,49.30769833081309,50.535171444305746,54.352190558082256,55.59753947811735,54.923421092285935,52.17187548312803,47.84710985558879,47.51558481371363,45.3291945936941,43.31404808272162,44.7913640359254,45.4763523528031,49.06001122978236,46.628338598237576,45.471152536896426,48.32259662129589,45.45358748989789,43.352781889013976,41.65059620101141,41.95795219579114,37.95174643628541,39.538956807057566,35.76468682859213,39.150014108732584,35.19960593837026,35.843979942553034,38.73758461162474,38.30339296288536,41.39657938142366,41.998742613573796,44.892286459049735,46.50180445268208,47.36303259138955,47.60817960001168,51.40073840031141,53.828579332875016,52.37371795751109,55.46014372157152,57.730268289643206,55.644785682578494,51.828771114211975,51.84391261011013,49.26914187513664,51.86236810482263,51.71744238623582,51.2647645784348,51.254606996585764,48.072626895918546,53.163322789533915,54.229599594361474,55.71179467217228,55.6218023496063,52.33963607206932,57.61736063340965,60.48556911240923,57.86363405412053,59.689652212288166,57.65487722125612,61.819972864614236,61.54739585837673,63.14679756958247,64.38242980438514,61.97431220117056,61.42544249813407,59.24028466197344,59.424915947861464,59.76983658759101,55.119541039334656,55.72497292286675,52.906418249189265,50.37944354697323,52.421547701927786,49.56030884328835,46.62080755925491,48.103396125147555,48.969183771157624,44.265805637304496,43.11716788389815,46.01019417891244,45.19296061651702,39.99432355160528,41.275025580387464,42.45490333723261,38.370772302063045,36.72272036935718,40.141098411157785,42.01962071835451,44.939404022528144,48.42828296984528,48.61436856561372,50.26021169359878,55.46464499611456,56.25066667356609,60.52584790018731,61.33374674760453,60.24345905925653,62.35005920580422,59.90329507594016,64.75598591925836,64.02556354681518,58.734161956788064,61.59390308339412,65.62812489874696,62.05512194614378,59.98317059278543,63.43291776502867,63.880344568974685,59.5500478807043,58.91390874175429,55.18275328850873,56.3944851610498,58.69669627035049,56.62587952437666,57.27434758676424,58.059362518256755,55.03753571046432,53.07585829191561,53.25077421412669,51.747732369480254,48.32096290674992,47.96328526809975,47.42309492685285,44.35360359942158,43.276944838080205,47.20272757806021,45.2571220716392,40.71557114337933,44.03646555169962,47.50910694233787,48.57476384973546,51.90650206784367,52.16744927592914,56.38543358996543,54.355245189933065,50.24296760239927,54.76888269037567,56.2357528828326,53.144179524329374,53.25353267210881,59.00029796228246,57.63383718442157,53.20053229419114,56.302903008004485,60.637168570618975,58.09472605960884,54.91246026660668,50.27367744352683,53.9028250396307,49.675893410807895,48.87127105292077,44.22917425273775,44.10761423099193,39.463596797835855,39.97575635726857,42.807523295833796,46.296892929460995,47.39996897107082,48.08374930530576,44.50170290546959,47.30088280114355,42.91260441240798,40.67215586433767,42.48698091675839,42.101035854882575,40.18968264361041,38.27713738753837,37.64367239404824,35.53615616134006,33.98293114810432,32.42571488497261,31.11072093015374,30.89356870260096,30.11339495452859,31.328709069354417,30.690726562708377],[28.597079969195292,30.771945242527185,34.770164437106516,31.953329874131924,37.06388405682364,32.517293816651254,34.01722267416228,35.111507900683364,31.51382591533633,33.41672886637839,32.9134662930269,34.7605019941264,37.90615992567139,34.660659335627294,37.51352920840674,40.54893219395622,41.19904510331855,44.12726314345062,46.28347893585052,49.982891252794474,52.57015678521136,57.044105340190114,57.155773186515056,57.04603680633351,55.282099669790384,50.79938719647062,50.16883697335708,46.34141270408552,45.96710059487639,45.23172229001819,44.49141180241685,45.44706826940217,46.62256040293586,50.27853615758233,50.31602397359978,49.61389229720484,50.07388830926073,51.88545069065803,52.83123071789574,59.187415240912024,56.43074405865079,55.474619671857035,59.87408450844692,60.92766306484231,62.38983834472541,64.02209399114263,66.73013070963648,65.81393120098933,65.50348628174135,69.94254878554159,70.31426299982601,71.29180964748238,70.7427799078161,65.85042736525644,66.78749527433287,69.85314766388356,66.92716849377116,63.695290624245985,66.95149340040462,68.98973318748646,63.77733851072897,62.85572593191103,59.72691406512908,60.563317685583286,60.22765351347437,56.95671475746386,52.347433182707526,48.993433655629524,45.4929445911555,41.97865856482294,40.964973752901045,41.01309289558444,43.50056741951913,47.97308489765719,48.04936645437487,53.38553371610553,54.852954622110055,56.6821634955702,57.56222156401795,60.304787505397286,59.12536535211724,60.498870169415795,58.64740325768666,60.29233352462652,57.899282448105126,55.1667297149394,55.79771640028863,55.24155297049203,53.72764908358411,54.38707143071903,50.995280834985664,51.69029773072655,47.842223054476435,45.87515682817915,42.1955271002044,39.957214746281444,36.89614917431654,41.12957789950257,39.68882334634464,40.85985468953164,44.984252358778114,45.88770468348943,48.973706820230284,48.80580337537318,53.718876801088726,49.78019538788883,52.588696632662376,53.195998524082405,49.27269947371523,47.710180136185535,43.45888318515552,43.68535796434831,39.199119731281016,40.83050919441694,38.95513574496837,40.01786374300875,41.82151395983383,43.068716085637696,45.005848283590794,42.32171026862298,39.40324596460339,37.09379063401807,37.04574507702286,36.3852721277739,35.11732154678786,39.532543654332784,38.74158288886147,43.19898170500508,45.99838864708305,50.08548661873261,50.844904373571346,54.74056748932983,56.100655747111944,55.76889572929452,52.823458014300925,48.58452838685585,47.746160673910126,45.867410001855475,43.93498712179997,45.78005111037897,46.4501932923848,50.30932783953265,48.18200083511965,46.91089097873848,49.98933170786804,47.282581534119835,44.965443677075655,43.38513444823564,43.519614106359676,39.52176870692729,40.93786609019122,37.41216535754867,40.84703481313987,36.9856767291184,38.05757592053698,40.879800468439846,40.42018752430342,43.19885861227681,44.029495183490056,46.439258229482135,47.89609384412619,49.14326625246543,48.98266069470743,52.9839311133764,55.02544730589139,53.22471382858428,56.19372209851994,58.25508058638856,55.940599520795914,52.238343036815444,52.37064302331064,50.07351360256409,52.9774462139825,53.06444773246732,52.89713329975255,53.01480233673399,50.11092888210985,55.25807829648973,56.13100814678615,57.45513217549871,57.08099664166565,53.62735812178023,58.73768466194653,61.52888957671311,58.93031579777129,61.08447950791162,59.26161816152644,63.35802844638374,62.86923094527197,64.29455701351996,65.29877649051265,62.907532241597764,62.05938815535226,59.74369812359682,59.799231765153046,59.8858974131946,55.137413070393016,55.69455376824661,52.63357288536316,50.3875736200931,52.14950071669301,49.532278689843004,46.58356972657984,47.59659608813233,48.47732779073015,43.91282711530403,42.36925169926601,45.10602315373461,44.53457388440877,39.20079345043837,40.114234674147674,41.25139404060373,37.40945581896423,35.418547409919555,38.47911630217981,40.403878265440454,43.289006411645296,46.65646988656175,47.18732768396109,48.802480631171974,54.038925379826686,54.80237835491387,59.189804768933534,60.29588341348169,59.41314090190606,61.76261060624185,59.59106486020963,64.38373294896193,63.33849388275526,58.153612422324024,61.266853045988704,65.06018483884456,61.32646402848214,59.489829769482014,63.06073594750997,63.126537840297715,58.732016453130015,58.534605999193445,54.70178766397832,56.40089894743284,58.653293867644976,56.493077784119635,57.45365896249925,58.21612690497642,55.48582237975588,53.249698284031645,53.22481476760626,52.05662139394546,48.64191628762599,47.8560177713939,47.37083768540931,44.39418590590191,42.984191192831425,46.73219777285911,44.858442503496754,40.22388044921308,43.18373616698747,46.62260193329561,47.63076400074365,51.17212128421403,51.68472520900566,55.76382100350369,53.384297525284474,49.37020635668674,54.062052607150584,55.18979869579025,51.9795610050494,52.344452956986316,57.98112345932563,56.24786973735767,51.91831667406037,55.269869001422066,59.34377438931793,56.53848703828421,53.43172944143258,48.792231415061835,52.10844600742955,47.79678119700659,46.92403704480668,42.48435469091214,42.725699079956115,38.265736482577005,38.47924303758672,41.51368469310778,44.89065309928002,46.320745197956164,47.18440625629364,44.029875474138834,47.133736484312195,43.00011448242234,40.55747509699483,42.77979710974266,42.30518773590041,40.85571731635627,38.60121702780851,37.55653198302011,35.84610853940826,34.548480139913366,32.28928960639893,31.11130535852281,31.48660631786104,31.168183102927795,32.783132131190385,32.493070065835155],[27.806902998311443,29.478957900483273,33.10642178856671,29.60776392408495,34.586449209706245,30.507558646971493,31.740759168504777,33.313133793325825,29.52471613731664,30.891713377698593,30.600705322502026,32.99530023972913,35.47723787735729,31.85250543653563,35.00637699243641,38.10214144701484,38.24328630233574,41.07174951829803,42.79875799520833,46.67756111476943,49.07031176737386,53.557378596816086,53.45648083734537,53.14595116913882,51.5302421607374,47.05969637226774,46.63596017897576,42.95612140457384,42.9465738940501,42.632369472585,42.03444999524448,43.35447601567709,44.82272707731766,48.25282535204184,48.056931710825445,46.9619356640405,47.63232028794392,48.89811657736765,49.67668712167575,56.06959513255464,52.963409114842015,52.05270585834141,56.51415495116166,57.481036931732596,58.71669608649454,60.24725695913188,62.974402665386826,62.27247058850367,61.94594912814426,66.38460716871415,66.92867393867084,68.06548362043858,67.59688289717747,62.61344708772192,63.83711305966339,66.81851736195239,63.70496920845728,60.66244999556868,64.04431347330888,65.84066796739859,60.54506569154532,59.80661904753724,56.87535645499652,57.43092520955433,56.91851613553239,53.80955485449982,49.046481803184506,45.92299879922637,42.1431416574612,38.90829006929289,37.63160156342621,37.67922497764478,40.48992087376498,44.797247473442994,45.225520711260586,50.718654805978325,52.06654817786405,54.236112657423284,54.99519584952486,57.566019017911024,56.586404865731446,57.75539713883651,56.2201721107089,57.67252479973904,55.01060902341162,52.43745955482771,52.92321649806923,52.788352425306655,50.993785566535514,52.10928334459823,48.55789016662185,49.378284808966725,45.654625041941564,43.93167474742111,40.108671639846825,38.099541677640474,34.83201343018664,39.433479667469946,38.117704575957326,39.90507429225315,43.422517482046615,44.53911320129652,47.142353464150304,47.08573035819658,51.72688617741298,47.77298772505233,50.80998261459088,51.170266334512334,47.2839506658603,45.90387776731108,41.493715915576,41.33250387451027,36.81915202976847,37.96930135552877,35.953912920346,36.62649115536422,38.36548875259139,39.23100020047913,41.184316168521946,38.855483593993974,35.7735016309994,33.66212626237339,33.32535089361255,32.977111678340414,32.10138885012625,36.5020779244705,36.35111524642918,40.590651135924055,43.560422563454196,47.677894059355694,48.28918867824789,52.3744108394523,53.39540944000939,53.27699467770131,49.95950666294661,45.64500292509733,44.71102414910364,42.536633611543145,40.32294525725105,42.21524962642938,42.46312363338194,46.29986487263114,44.36180233426248,43.287134467077315,46.537195457922515,44.10308738877647,41.78040636358759,40.59739827304676,41.031711905857016,37.30637750917728,39.17482294534102,36.0239408759531,39.940019612425196,36.69214626236058,37.42160880273985,39.78560789857302,38.8188058333219,41.56268317122131,41.9733080884646,44.29203580154302,45.212449639026566,46.300792126459456,45.73309982016641,49.81658227864042,51.660384265843255,49.59045591899576,52.78241407621224,54.64213033581735,52.47548730871245,48.696371888821176,49.057561583101936,46.74389915590373,49.87067045562266,50.19612045873113,50.20385634222419,50.66903384297646,47.765300390982965,53.098598911250086,53.57726093567716,55.045536747040515,54.28266570599553,51.168307346984776,56.10943001499831,58.730553188012465,55.958628108106815,57.96102422457489,56.015194725276864,60.01286326875435,59.25277545576014,60.85497039966626,61.83994177892069,59.642895247408376,58.854227033101154,56.677732370946,56.92213177349711,57.141657975546295,52.41408854014302,53.29277049026386,50.403490772228864,48.360766912275324,50.466448771717296,48.078199186003246,44.853329180170505,45.895691177029356,47.219801782162975,42.66775902232439,40.67416738451543,43.83797541332033,43.80254129049361,38.15611730516861,39.06246814851729,40.66453961063849,36.92786546268146,34.54885854916947,37.848665589693425,39.3663149836592,42.82457001597666,45.428898961950125,46.07911940574652,48.089488225567,53.22594132680651,54.45694382525097,58.511671002115605,59.71384139145447,58.570942114063364,60.88943810018398,58.5514226720242,63.20909923057623,62.17602479933523,56.72627298644179,59.760906750980645,63.46164143535162,59.603898067766465,57.61339298095163,61.020363183873975,61.03346184875018,56.636406599754345,56.147099472907755,52.663381915130955,54.4419564156858,56.94555757923272,55.15358006964216,56.271886442679985,57.44844632348298,54.549609128672785,52.06965735005682,52.55367544984778,51.542598921184535,47.777435213884225,47.0772897357602,47.090056138531445,44.184127455802724,42.503395168392764,46.56363803290661,45.056207095589144,40.30280333937132,43.119004304729444,46.75639345217418,47.3914541774473,50.861921196201095,51.05699302132634,55.11472906245906,52.876519416327035,48.48971732879143,53.00700895394636,54.197388342724054,50.92121332191488,50.87709909787824,56.61439231656647,54.9146676069745,50.290784047520134,53.42183272869812,57.64577985688467,54.831188600692215,51.52349491853406,46.81628356466642,50.091089745966435,45.68063048625205,45.28830342645386,40.6215051709476,41.04467607219401,36.58949959391434,36.38559759474117,39.2669541240038,42.51222203216961,43.86835023364694,45.092579069143724,41.761934499170074,44.91081762978889,40.63116424903927,38.69012661568546,41.28129990117487,41.254074487989456,39.74725651193248,37.02542185830155,36.47894290992466,35.1105104436904,33.10468848312652,31.030919681950305,30.661379111106115,31.02889049977931,30.679043346043375,32.09699176415561,32.0802963327168],[25.549893238016594,27.38895250478788,31.320064073758118,28.01701224851333,33.37512018543644,29.696432327014318,31.412991390817282,33.31669335573751,29.911907261838067,31.582176070082152,31.73764192404177,34.14802594522965,36.46140749883785,33.013488198447554,36.561531348328444,39.50416678710459,39.40256661763587,42.51284600275294,44.24084187691551,48.017819678372945,50.52325526980141,54.923614326602525,54.869588509468215,54.36100684601619,52.61685734922881,48.18518352060286,47.581245865652036,43.87339502751116,44.09230748644059,43.78420911311851,43.774222734341514,44.77689909142677,46.549127753783466,50.11310649719915,49.62016217651207,48.42232707046809,48.80531013586953,49.95956842135329,50.49629303952154,56.80001840069722,53.622031465394194,53.112734208957114,57.60450134345274,58.31832103885991,59.53987713323597,60.86833375027864,63.72405476725082,63.128254029751915,62.49288409123623,66.93781085871824,67.7030932260916,68.77521588403343,68.47111199680175,63.45247326493891,64.80933372491478,67.95078514509142,64.87570263775318,61.9080879508618,65.42125318568279,67.21721578734018,61.99452661382394,61.537989993591054,58.69476076370172,59.350696317810026,58.57113452315532,55.39003419102435,50.802104986149914,47.682198886929925,43.94113283397603,40.81167618618817,39.55849586867793,39.89378659607153,42.718349676216256,46.92346065441802,47.28416477121719,52.945658462211355,53.95519637552254,56.2458259480052,56.738186775628684,59.10399751795299,57.91426162631081,58.798785652491794,57.1275341757055,58.324102792460074,55.591107594420244,53.289050370750466,54.06300007002736,54.055776378347375,52.511888631320055,53.915567870409824,50.497284642997535,51.6305195478934,47.871611186635455,46.04169230917558,42.01238971965493,40.25699816138426,36.75104469210572,41.11950326090404,39.51357184750796,41.099740518387954,44.61009181467607,45.23980109400194,47.94157434579458,47.41529186436008,51.853176994955035,47.61518966987456,50.41100596881841,50.527493463217986,46.46607990642511,45.390493489307,40.89628536058419,41.09305737943383,36.754197737118005,37.929689515006594,36.40312347199175,36.94212190507053,39.04092918016365,39.763488680684624,42.226391335686785,40.04817961596821,36.846329780478825,34.58437213806305,33.75730820886438,33.17839719051567,32.081670109425744,36.118554324530514,35.593129977524335,39.9959408793653,42.80037722481679,47.15279438723275,47.33465926321843,51.455977272008106,52.607332064747176,52.78996865576235,49.3472694165283,45.15515159722176,43.75952230388742,41.94140342487056,39.88495735238035,42.11142525207857,42.45491684068287,46.547665637318005,44.88553259391465,43.64528778128195,47.057920680739365,44.755243882026065,42.232906053079404,41.11744249307249,41.33292522895963,37.6277793600043,39.27614382489823,36.37866442372794,40.29936908481987,37.18127451567364,38.30501051801195,40.57680338919481,39.61778258809246,42.02382396072271,42.688021297798585,44.511403886115765,45.32820107397086,46.8213210687199,45.91762096510756,50.16437912855316,51.645517644183094,49.30523446742657,52.31828202849124,54.01131161497719,51.610004300555865,47.97402999484511,48.40006847147096,46.370592605723935,49.739470769051444,50.25433850375473,50.52205480122061,51.070817409868624,48.46930268292877,53.80293528829319,54.128172335691886,55.41079206091936,54.41671808766207,51.11200828285469,55.881113022148675,58.435379796356266,55.72363830214768,58.060798907757686,56.36066499190841,60.29578963328046,59.37068292316997,60.756367065088526,61.51529615618885,59.31304040950947,58.23121020737399,55.921099054964635,56.02002038662193,55.98731088102024,51.187649593426926,51.99432020285132,48.88997618780886,47.0984424557032,48.93562066769673,46.77401529916369,43.56155450064941,44.179177118688905,45.51318128696892,41.10733948268922,38.77273113751345,41.79031308135696,41.98881614021782,36.24488484277249,36.826264752343334,38.41365493304772,34.91530780402416,32.22500346279749,35.23009107464315,36.74876562437611,40.20969546751648,42.65965905795818,43.58944789271956,45.59033311577497,50.732647760927,51.96465797602768,56.06363063294186,57.53617320621875,56.55378143046269,59.062406535516146,56.96052962072603,61.548558007497796,60.2539270482617,54.899752818097404,58.14585270168303,61.633432582437635,57.64454299063424,55.863466029797365,59.36907486013326,59.060411704128825,54.625628476274834,54.52564097243327,50.94807492082091,53.14652551511661,55.58720398440467,53.722287128016994,55.11304021599846,56.279125126227974,53.647289896765805,50.92926845882252,51.253109572290285,50.54805951681482,46.798231234841815,45.72434621069448,45.81609248584976,43.01500335346151,41.03279850928697,44.94006062697374,43.53933091431112,38.724542316770915,41.197291781994224,44.81038860413473,45.35418897569153,48.98102564407635,49.36495564961646,53.2909094999266,50.775661546545415,46.46538039909481,51.09762930041822,52.00385196559553,48.637554507862745,48.795496007858326,54.42353812960644,52.4329493363941,47.89976966279466,51.23187845174179,55.2334263668164,52.21045389371427,48.96222767508093,44.26885637634969,47.29204998663573,42.82740750905239,42.37906848791812,37.87913227088231,38.597688514427134,34.320267740220174,33.865390843403944,36.91383004865082,40.06060378235783,41.69170789490303,43.04581792490413,40.11518431283607,43.51783432823998,39.5095620021757,37.37423875106785,40.31137053980734,40.20684992274597,39.13443369668247,36.12464126993001,35.20815075383092,34.22997660504961,32.476793939037314,29.77742758626453,29.57656256465193,30.47377439436723,30.537789530856973,32.32512178132314,32.630602155092554],[21.354955079673427,23.408030964285683,27.551126862795925,24.723259058625025,30.235009333749286,26.384829940951576,28.485171235873366,30.295871251467293,27.27414467307678,29.48300668874689,29.88235962048395,31.991840597459213,34.512233629150124,31.503422372667647,35.21059258738791,37.94054701644226,37.97348006303377,41.43282602126049,43.561666915596554,47.04348402328995,49.855065649081574,54.14413077748089,54.375009280694485,53.90095386090001,51.84499668753021,47.44962276798238,46.455068283055915,42.58926174701946,42.68871168253963,42.0695083111653,42.55717183060201,42.99598940405216,44.91938649278301,48.74262167560535,48.06377578688664,47.028074235850184,46.9874358288339,48.43434952804091,48.899274874120074,55.09181756191612,52.17679368306622,51.96501400182176,56.42086428585948,56.99411172906924,58.43781384360205,59.72761559865372,62.69359973595011,61.928709280326494,61.0727148963117,65.53175718026054,66.28829165013178,67.17171221890821,66.91836619963014,61.984754792083415,63.15308438537519,66.51246650529987,63.656760683055666,60.57015411710583,64.09509227743027,66.12420290215996,61.046311894249065,60.740000894577285,57.83423984705965,58.86516026322689,57.92463889953118,54.512669412327924,50.281963536897734,46.95458192369361,43.53651703970718,40.2767005267439,39.30399228130065,40.050366629287176,42.55962293769559,46.78037030101561,46.71608215606322,52.46516136146245,53.129569668508346,55.30577909304296,55.567655873037005,57.83323058240441,56.28848042786623,57.05476674818076,55.05150044346474,56.17038718449112,53.58633580110671,51.380904417998174,52.511996309047866,52.318298415845966,51.22621345534032,52.62469124584202,49.4781772392633,50.9196146088723,47.043126568758055,44.935802134710755,40.75729675701736,39.19010578027066,35.527938209643416,39.41829505219152,37.46396630594407,38.610787347541915,42.33504552678826,42.45589444070129,45.450551381738926,44.51957942612391,48.95663254773617,44.570728156925476,47.11574160012693,47.251422692316645,43.10299053319748,42.05594163949555,37.619173466192954,38.22381114147004,34.013970530426676,35.54375368486078,34.4490988055184,35.237111307508655,37.64788648932563,38.67688840500966,41.525881052983365,39.1071343017131,35.976140501530004,33.387070034768016,32.484428703993345,31.43602812122656,29.861344657237723,33.69998753395037,32.52651938984448,37.13552695720179,39.74966521196751,44.16985507868694,44.29208444516003,48.285797079701275,49.72075222342456,49.871353042056214,46.65425310992122,42.586102253961855,41.109985429978835,39.68221509180103,37.97992620141639,40.30221364311934,41.180234802343,45.42966823446138,43.733257808622284,42.168897196124256,45.51327096208271,43.06686812113354,40.410893863613985,39.025905668400426,38.878070230092256,35.029687089459316,36.27667710251899,33.3925397394107,37.111683706757596,33.95056495813621,35.456963093397164,37.78434253650189,37.04467250923313,39.1994156998774,40.26776051284221,41.78145726953251,42.88146438311628,44.75744453207313,43.963285826722625,48.23160499339071,49.66309865378299,47.45500045724981,50.16067703723388,51.99832414678171,49.37475726120734,45.865725937981416,46.08274874095086,44.18750815127876,47.468125457923506,47.89682152520411,48.197704883673254,48.56886952158646,46.19645677572832,51.403250986627285,51.86210494565524,52.91546829815872,52.04166811096804,48.39402424808557,53.17722566129936,55.81813079497449,53.2735331677933,55.91866029282538,54.48147601874422,58.48497984239599,57.69027872237054,58.77333377615476,59.441485388028234,57.05381330533139,55.80327794680159,53.3306861707082,53.22606106635207,53.0208212049417,48.199808233014174,48.74763562289549,45.49233985708369,43.61929401656016,45.20638004565333,42.975508938337164,39.90862008543548,40.43746609671724,41.551035833995584,37.16061234630199,35.01716405545717,37.813566536943036,37.80654296045968,32.16818048829933,32.75634916538361,34.17443425013552,30.63375965139375,28.082397501534903,31.064030027155173,32.743414692957,36.00201609489999,38.807904459572256,39.59331277058416,41.44273221421501,46.62757566675276,47.72747820353361,51.910910106064684,53.31208347487329,52.411406876787915,54.94078535729399,52.92592045145332,57.56243390784438,56.243010179336025,51.01182901002238,54.31629099767056,57.83285965332114,53.91084543077419,52.2222054621404,55.83482407284337,55.552337912858384,51.119777298236805,51.22571954689276,47.405810936081814,49.61709443177684,51.90377921938947,49.842125721076215,51.2321700818786,52.23949578103871,49.7533197455725,47.05069714621965,47.14505015456568,46.4855486228691,42.85527126481829,41.638956996202076,41.60500841364038,38.818324554860034,36.825890164170744,40.62466525494914,39.17297688585628,34.36635472130771,36.82487020223555,40.403728914573534,41.02103307620024,44.67350396201424,45.16675893799599,49.08730471543995,46.520205031444576,42.329910648886795,47.03582463946005,47.92345105026547,44.5900970833925,44.92173409566133,50.51224346069544,48.55221042117026,44.1517710255383,47.58238230540788,51.53545586705153,48.5800755485586,45.43977494652147,40.78599781714999,43.95402677409096,39.59881534240355,38.82885673217643,34.39005276327758,34.88683002428496,30.570320911984563,30.457831630188068,33.57414505698142,36.854970791216495,38.4746756941775,39.54057855856429,36.73900715601363,40.140902564575654,36.30005807695261,33.7993469266878,36.642001010146025,36.31569960857657,35.44473361429746,32.52488391193339,31.260160477052317,30.296018168769304,28.937854904780142,25.913511980165357,25.484866493307017,26.623620953287297,26.93996242847775,28.999985163314207,29.452667820732458],[22.540113084622643,24.23566449083968,27.85594938530983,24.667925878867255,29.638447621697143,25.23113690140822,26.68498223151557,28.117804002812917,24.579989034801727,26.466840901723675,26.396424408909688,28.523859308479906,31.23344610989272,28.03756871919437,31.387535102731626,34.27727986121782,34.57788924978625,37.807215389630436,40.02325258749641,43.57214019903902,46.3340463136797,50.708176988768756,50.95105478104067,50.70701283819688,48.71711294960063,44.26836314974035,43.39486985295626,39.51345455883634,39.33956055894325,38.678747091368585,38.622744818216034,39.341227653221964,41.003514182682736,44.72581215687298,44.30634076440034,43.37410264961575,43.597174473684944,45.191537397518985,45.92064355535879,52.220919883058706,49.41595918803111,48.793288042567326,53.222120777825424,54.062535464277715,55.56665989041405,57.090345264983824,59.92413781294367,59.01024507101894,58.47382701640865,62.93514419961259,63.43134370167303,64.3614339201062,63.92579364757574,59.01867670398234,60.03756375540557,63.25947995900807,60.37939223524378,57.18916217875081,60.5953034553841,62.6618546867958,57.51249233347785,56.93790430657682,53.92667330904629,54.92206359469762,54.22180852527919,50.83272394697247,46.47300729880853,43.08811148691078,39.68227070208943,36.27103328046143,35.33391264355395,35.907083860736805,38.33263346148498,42.67017830653874,42.58522405322451,48.21675573789557,49.14590322484407,51.20512262439254,51.69283145030955,54.15571211293518,52.78767337381629,53.84248670252193,51.962697244190196,53.357425717929154,50.853505646626246,48.34480713414509,49.19832457460717,48.86058611707784,47.54394695838501,48.674016389266306,45.41143384670731,46.61689303835738,42.74366533439607,40.70028143619073,36.66292776551651,34.887034372121896,31.384359994966914,35.50820029429422,33.8167781464797,35.23271946732975,38.92915261171904,39.58798443812894,42.452458843876705,42.05100057479678,46.72760785261878,42.662397157677816,45.53134453700204,45.9657421246623,42.03947589328485,40.60526121934365,36.245575194117166,36.37758404692911,31.924826174870063,33.43951155082098,31.77415156245659,32.76240387928963,34.80469547137704,36.06987301557064,38.421216122698326,35.76319650994899,32.762538982703525,30.258323334714756,29.923455709856857,29.068036460192175,27.699348346480296,32.02071322740719,31.32284962503869,35.73424965698719,38.57433425238034,42.70645192165453,43.38817426944645,47.35028578427098,48.61195889137528,48.37629588154125,45.31231675089878,41.07612757742683,40.20183358952892,38.32866830673168,36.45971277760713,38.373155203887606,39.2290876182507,43.2102956919003,41.157060245295206,39.722720334860334,42.87323557029891,40.23910863188763,37.78717854150601,36.29017210444334,36.38128581627428,32.484433103496485,34.02777918348203,30.846733961028306,34.66080345004215,31.41695032542434,32.43335658592443,34.8151982164297,34.00956667765934,36.55317987351076,37.319856020792315,39.40108514607869,40.620331938751924,42.052751013032804,41.66526805222329,45.75743389248865,47.631514428683765,45.77989268360143,48.67979364267909,50.75636425007303,48.41079830488977,44.720093210394936,44.82580511514398,42.567261726143926,45.54253663310472,45.73254201583191,45.72826924521456,46.004702804785985,43.287335308536605,48.52176464044695,49.145179317696346,50.408891551330896,49.80212222274589,46.361356645719646,51.36835838141682,54.10074991319354,51.48434960405337,53.74664322973861,52.03833353260357,56.12672093722647,55.56696741290294,56.88197744242756,57.8220386023798,55.421672912263965,54.522274776064506,52.203160669353196,52.2796537715884,52.408070325060855,47.67099992345886,48.32827342232327,45.37499725364053,43.159059966400015,45.157533864673404,42.63036283435638,39.50743692230312,40.64686289055462,41.80561178574814,37.198758321517886,35.49436204378607,38.570512227801935,38.30658736190082,32.7573562918066,33.841991671738285,35.37577092552229,31.49556024380839,29.346233138130955,32.85566721214786,34.43988771684209,37.808321964176926,40.70148059466241,41.05625310693367,42.99111548202355,48.14015125248941,49.3029618447144,53.33559425126308,54.38239572329635,53.19362456882538,55.43104041654182,53.0526244758597,57.76806777618353,56.82750594714516,51.41484726667057,54.41126215029444,58.2261072500673,54.471790668724765,52.466515401030264,55.92687280332284,56.10506177534687,51.73471620030473,51.25762287140927,47.58857801467284,49.216663453636194,51.613558261293235,49.696104544851885,50.73202531020126,51.82376229101753,48.946636442459315,46.52606914393915,46.927100697845034,45.873844267967655,42.14987175712985,41.46562420600811,41.422663531144345,38.501123174395524,36.87623408085216,40.97007633240203,39.45545620873534,34.70865802926253,37.63947694250828,41.30393869462837,41.960672469114634,45.36150380648086,45.50884513867775,49.62079002739742,47.49192356875969,43.11740407799216,47.61988015281004,48.94250836619267,45.73890633116629,45.702100904863094,51.46516391047535,49.96100602945177,45.38436355159851,48.48536799862459,52.79629999816846,50.16060213206249,46.89511056923834,42.22120890893672,45.78982119791046,41.52615537854873,40.904645785511455,36.16778055188423,36.207597243878894,31.616985859260723,31.859159762095125,34.69683662780215,38.126111948027436,39.314741713530246,40.200411856360844,36.792415159662,39.84131309550673,35.60412188551262,33.400201744595485,35.80864517292827,35.652508082681635,34.17830106350474,31.570984486879443,30.89288265562651,29.43889723616032,27.610566305284788,25.479739510337595,24.963975497128537,25.351440331668627,25.091917394750237,26.698829840652497,26.851145500765533],[24.279929586945144,26.283156183411574,29.95065878961208,27.341615424580638,32.0583159166998,26.97277539618758,28.305611151368183,28.985336176814275,25.41908058757476,27.621031413178525,27.029137529734076,28.550643826270175,32.02797188879504,29.15259373472567,31.907248597197235,34.802025077695966,35.77195428778291,38.909208277993486,41.556726224601476,44.949168254949434,47.83422000636044,52.22031933499172,52.65985703193755,52.73948277012758,50.67164071836822,46.21686402255731,45.238240527095925,41.25303248296645,40.567125808481535,39.47818084514147,38.93596817947166,39.4634206621957,40.65512089219699,44.516868192163784,44.491948181097975,44.01637542028202,44.19554071004074,46.39571010751684,47.43598752886308,53.71869815549102,51.32626752632357,50.42023105741557,54.74587160165383,55.81759016729995,57.55368161072778,59.29762142888476,62.02845503553732,60.83101900849608,60.49891538708941,64.94218067950209,65.12970120742747,65.93851074575454,65.32481801814829,60.55698678455931,61.19133408851963,64.39552335909183,61.69751975946965,58.27596556861779,61.467944100251245,63.782377340107544,58.68996953094023,57.78475950988357,54.53718843253219,55.766188331625706,55.38282827377962,51.87831006228972,47.60620737745658,43.99743583704471,40.885826531846575,37.14934133725999,36.483794875143715,36.91763397766984,38.976273678957156,43.51330292324819,43.09023840473566,48.462855579202596,49.67123897200213,51.32023247294446,52.06230531741826,54.79909991894467,53.35348555808421,54.7705968800275,52.66884334801085,54.40443115424181,52.2232267128346,49.40059853479429,50.221214422844426,49.39008792869147,48.21636203412055,48.73198820599148,45.57056134326901,46.49682794586721,42.52521539117961,40.293610581220015,36.51998678618394,34.38886319959073,31.235057936816816,35.0966842502596,33.459306853740635,34.38977431645772,38.66943912422207,39.431505135760574,42.68641901246228,42.48934511616026,47.54084165122975,43.71007309775734,46.511766255037756,47.351331875745785,43.5452227850602,41.72658632591573,37.62082212693759,37.87494720665883,33.37779615527069,35.33968025075874,33.50521451958371,34.96872475812349,36.8168928317614,38.55653218449675,40.550931973793666,37.45599112620972,34.73309980408479,32.14712922872224,32.43478113007673,31.426861264138182,29.833509023462994,34.35135128861813,33.29408596476642,37.74389609926343,40.503398892896755,44.40032254963668,45.52711548527016,49.25003210460243,50.73593315493017,50.08419936163724,47.49145529393299,43.2815489020284,42.83524700373335,41.023529932423315,39.34941358773076,40.965484049969966,42.17941035901349,45.981390731957724,43.57488299905293,42.05726735958522,44.90001158722067,41.92725696665577,39.63280787092108,37.70268999013637,37.63788810979744,33.4935186189517,34.723059404758715,31.016812072445397,34.33174143474776,30.424328725768532,31.4943626404971,34.37107848371814,34.0634124662279,36.85376364011147,37.860492731220766,40.347663814090126,42.15912965174235,43.47099039504636,43.71567411435597,47.58526162579423,49.88285515478561,48.493711148206884,51.27094635569624,53.648634868973005,51.3349385564664,47.65134803116494,47.483023500407015,45.06413094308834,47.62811939486346,47.45309480717524,47.10324413348102,46.981471371058625,44.084416221151805,49.1064614782742,50.2124010762258,51.448873662380784,51.377663258702185,47.753047430064214,53.01158594360711,55.93985777136556,53.46660637946762,55.64332470247798,53.90753907190637,58.11838255435252,57.93204261147574,59.20249609940498,60.30589185780959,57.73074242606756,56.97870807791538,54.63121679729407,54.626233831541,54.805494016236146,50.13526354951163,50.53199561865313,47.59611893205344,45.01863863244174,46.88008088919303,43.986878411445,41.13914925820278,42.562547946654014,43.293316989647266,38.600480020075715,37.597067885123224,40.360189455286275,39.4264014791253,34.29466396286884,35.630833453523735,36.7413937571506,32.61288236682686,31.095828034597844,34.585057590880986,36.51271403414642,39.344633182436716,43.011490767769935,43.03114715731827,44.61056781210833,49.81049425414258,50.561483673465766,54.82340530234289,55.57134146730154,54.48685352674309,56.59237240555138,54.189899736458614,59.05900205520311,58.314092067246,53.08890935775935,55.98192714286455,60.02629901010875,56.50189724942309,54.488421192052236,58.009123041732934,58.47852949201353,54.163455770410664,53.66701726382365,49.76500210915794,50.99447036890487,53.19028695737253,50.998165433821406,51.680568697778114,52.403823443077755,49.4901232821884,47.48110825840504,47.540237602894756,46.118013488386666,42.71873677699081,42.24489438756522,41.69265310125099,38.64178684068443,37.5081450663468,41.4188269676301,39.50791155683096,34.942130282669716,38.257279467929784,41.7480228517102,42.79674652063467,46.11540399982918,46.39210555564961,50.606596585427184,48.583696471869644,44.50252399035851,49.04361394065429,50.52710597291512,47.47263340680025,47.64520697160975,53.368066591941464,52.07438779181183,47.71796499179476,50.84262328450345,55.16567463094898,52.71917423770558,49.606280689855694,45.018182630034616,48.79876242792781,44.69877169259007,43.69248203825672,39.06960619602051,38.71191361245973,34.03487808472378,34.85146428195896,37.67075720684133,41.260267322081255,42.29794172826938,42.737574891813125,39.22986945967798,42.01394470901114,37.76374390746205,35.24692611585303,37.013264733366185,36.492489921815306,34.75609521636821,32.84553214997638,31.980207435938055,29.910387682574093,28.60206289232743,26.810924294569205,25.38124494444873,25.340188817369253,24.78269837246527,26.295378670511187,25.93522743270355],[27.970512077673252,29.510113108112847,32.72520548302677,29.371483456923603,33.73483535355537,28.87682929517996,29.5592763027151,30.387849017733178,26.28518439363951,27.609270337044876,26.68352054506245,28.689451112027108,31.737871483909785,28.269018936920453,30.77955282980823,33.941371393719564,34.71455786838887,37.365867803327134,39.53070801950385,43.261429055510334,45.77127118084367,50.28397282658679,50.40679664043003,50.49744979920848,48.78905393965994,44.301412496118246,43.79472159598513,40.015931990065035,39.44606148349068,38.7814011513439,37.584623675274,38.89966205619797,39.93107089968702,43.39226391210894,43.5743423508798,42.857097194238065,43.616123773964446,45.406074863393954,46.56013387223929,52.970357836878264,50.283839419927844,48.9572872044969,53.3068936574595,54.589316129074035,56.07447626249236,57.91464284475955,60.491299032076185,59.44909538171546,59.443891716095976,63.861165771670315,64.00279177952373,65.05139145713389,64.34408248481331,59.495430577351016,60.32011029023124,63.24114095392587,60.283173429347734,56.98874240871782,60.15388553956736,62.19666632636747,56.92451166286799,55.82533624273813,52.66078371582028,53.43625869557026,53.25274229682564,50.03130368368855,45.34000274896957,41.98234048190807,38.50297194284983,34.92319127727264,33.931232136668044,33.88890106706814,36.291411453506456,40.806199145686584,40.885097434381976,46.153582393877734,47.76458378109754,49.57573622555233,50.58973742756129,53.436564957994996,52.46653822627879,54.03745449742939,52.40883783229268,54.24699302965617,51.88171413390284,48.91837940849422,49.24418572795193,48.67337679024087,46.89404868812987,47.451095642787884,43.940087322091365,44.5037025011564,40.7037646285747,38.867914590039945,35.28060424390046,32.96277684066801,29.996624826918424,34.533543898897705,33.41768809326559,35.12113525874152,38.88751781365502,40.41516800504358,43.127302614267784,43.54657323232054,48.54291366366539,44.9808254194094,48.187584862748835,49.01184061983346,45.38963281297688,43.501771297716665,39.33916912887358,38.9240758212939,34.26311917421834,35.704125224604695,33.23818526629002,34.40960988884213,35.78931167090412,37.224735981661254,38.646280779008315,35.79119385015969,33.0349587107477,30.87450642852207,31.380212480498095,30.97661084546037,30.038373747711177,34.845045902584566,34.75236105019399,38.84101288607368,41.88624896117316,45.61570576006421,46.924869348634004,50.80165269726783,51.85449727783468,51.17262069165294,48.31623397509138,43.934360361863725,43.737952918446744,41.34454443264405,39.2253381608685,40.60608659689205,41.212296806849636,44.73774576435394,42.28162185154948,41.174044135297805,44.03499253782613,41.22244897889845,39.14581241876932,37.56868278826167,38.03457073355603,34.15141065815395,36.01637530523511,32.40345029498083,36.09069165575686,32.531001483055064,32.89052758188473,35.49278886906553,34.75083952320957,37.87103200606467,38.2145728927148,41.141105733738094,42.527358379849446,43.25930249526514,43.4247033069245,47.21136770608019,49.64822993410966,48.20383168584599,51.38085594315254,53.653417432057665,51.68843255835958,47.81749873750888,47.861809498402835,45.19876251484684,47.78603275164756,47.68026177258261,47.24806027034365,47.376125234917765,44.155924217596755,49.34261640749746,50.240974721686605,51.810550380555725,51.595239604821735,48.49371716598584,53.73476454510257,56.54893774856007,53.85190027423067,55.55104358736974,53.44146057595455,57.5796071188337,57.28516161857722,58.96511401097745,60.246388530549375,57.896746835435245,57.446371616094474,55.34982560328045,55.65062650590688,56.14242942181514,51.53772505488412,52.306313368732596,49.66932906856697,47.13518425474436,49.46614245889739,46.64147481863585,43.55428618039462,45.24141970603271,46.34757449914531,41.60129673824922,40.37705538292958,43.569338183810466,42.9640951063634,37.64667146033815,39.09362942436172,40.57082420092936,36.45026273610256,34.73323838503569,38.47254284101987,40.08267732077316,43.351668023167804,46.452010203125226,46.51599122257813,48.406221283188955,53.525462291914394,54.59301209283074,58.604993206448995,59.34362339855783,57.99825241035044,59.97894255265575,57.325217443456566,62.11539105155322,61.520954445712505,56.03808750471783,58.74635007923205,62.82392415994884,59.25544737978129,57.00491428063135,60.31812988847341,60.90084913408125,56.60750390120786,55.6382483105471,52.1241275774752,53.178997577591275,55.63215140760167,53.80554020006395,54.43573515046091,55.485964274424326,52.2669131254917,50.24513697833721,50.80536798867288,49.296264880783035,45.63868408019127,45.48333952168978,45.25264908747249,42.203839078486084,41.06626567461867,45.263480069003144,43.549661066675164,38.968437785301795,42.32967446448695,45.948226153366605,46.78110097702305,49.97177249292126,49.922374162787335,54.17844422809621,52.38988166480982,48.007379829991386,52.34896757691288,54.002488473000085,50.93361371770989,50.69007657070906,56.53442469983307,55.37000638647473,50.73411610822326,53.59297754870915,58.12953282210619,55.723803837710264,52.40490581865779,47.74661174854989,51.52899704401938,47.326009780759925,46.79001698044438,41.930487629531065,41.69119333534839,36.968500568379305,37.44492244528608,40.07969192242324,43.562703863675075,44.45035423935058,45.20318861202866,41.34514042037809,44.03070581295418,39.47801464452053,37.57018075623272,39.43273706432383,39.34547944265737,37.25196310954856,35.172323104703516,34.98507021291492,32.95607095101479,30.87985984845929,29.69450923006798,28.84036090216999,28.417859476462592,27.481036603349413,28.47631458387481,28.005713128496517],[27.52441350188721,29.270288761125354,32.411496128473985,29.812104721447376,33.82253839708167,28.22838213839931,28.859625252318683,28.8132776549501,24.900565663718726,26.794044249441903,25.453569968584162,26.596484422363655,30.546594456848105,27.74538835007991,29.67730691451189,32.66547012248791,34.23224011111,36.98720518984574,39.86443761871132,43.18900040961152,46.0218706022668,50.4354097347127,50.963406249057954,51.41659727282499,49.41987942074282,44.98607701050729,44.10905097325404,40.150731121832166,38.96424726417785,37.65496866036992,36.27578150876761,37.013349825853545,37.637473850993224,41.39240879744608,41.8633606975458,41.734091796263385,42.1766389494062,44.77430229415369,46.20814331872161,52.492862052332526,50.42165635938058,48.99028811503746,53.18020255175121,54.610149650051106,56.48316358643311,58.530164806994755,61.05470685897273,59.604867308853045,59.682374788479265,64.07210436209995,63.87180629730519,64.66896115112496,63.803217803024566,59.167125486296385,59.48094974942356,62.502223435925515,59.88117433347656,56.2900295752301,59.230853581361934,61.665601346797054,56.575094514708326,55.24327162693504,51.80790103262113,53.09051645893156,53.11683253622428,49.631027766436524,45.31996172235472,41.60623873722561,38.70734714567098,34.73116560708262,34.25569414097103,34.40031247204028,36.133749001492845,40.81553031731878,40.21645052364362,45.243765638794954,46.87554509813548,48.173913105529024,49.284738226491044,52.334296426482524,51.06126189531395,52.93010728866747,50.884794900175166,53.03234653858976,51.10346384311892,47.87673125860205,48.37997582205002,47.18024885997682,45.847394987462145,45.760059960941,42.559691401948264,43.0558587999697,39.091896312855,36.872195492072144,33.484524154651474,30.945546842745788,28.274124007429588,32.167247343301746,30.912669158299177,31.86428634880278,36.32009401872994,37.705552702001704,40.94156952683437,41.39569917435159,46.75825415897903,43.417564592358886,46.44720389299889,47.72081389345232,44.2414912902169,41.94690958641978,38.122380240250266,37.975568647911544,33.37004076613267,35.43915057898274,33.0377344652705,34.85050465668352,36.190511378464805,38.31030841662798,39.60121603815653,36.15113004396154,33.77504552594987,31.33874031320649,32.452184465098505,31.6097364619578,30.18921886373081,35.05478829602704,34.322875637370004,38.47051705520472,41.3323595492052,44.785085550594566,46.57405352556926,50.11178747112853,51.503022386873525,50.341808356707276,48.12082712175482,43.849707721574866,44.116046654973836,41.97151095800758,40.26160031931036,41.34887022801308,42.64806222750199,46.046873705911906,43.206572934014986,41.81791070045932,44.28049185231017,41.04101636491153,39.076450879416896,36.8980170785132,37.00584255483771,32.83225170228054,34.175186654275514,30.050006388982773,33.102694128276596,28.897659023809975,29.41114486473853,32.522142698031466,32.40701384427912,35.650102633072514,36.42783081655622,39.62273161088401,41.767642902150826,42.55691334538659,43.46704241932851,46.99473742988685,49.85409573227938,49.00285817142039,51.867556784730176,54.54075985520089,52.5219962281453,48.7381904995448,48.372152677187096,45.60634447662277,47.673394695553746,47.123492333624775,46.334172008613585,45.94552671112491,42.66911554239769,47.533197537323176,49.00749471920146,50.4251218354759,50.84807577562285,47.40799723801596,52.90144995140456,55.955519613307935,53.50548131328647,55.25117837423779,53.26338563636678,57.54971257245872,57.74450653589919,59.20349049820548,60.61308682288285,57.990605618328594,57.62924302918067,55.441397667457046,55.569879121246665,56.064378007923736,51.55759503070808,51.949399709977804,49.32751669378955,46.36318243573422,48.50020501539329,45.261960150690264,42.528447740663594,44.55072258762299,45.15162864496926,40.34332734654661,39.977316106800714,42.8022680896585,41.43934025090785,36.65773359643107,38.43900265539093,39.47568849114567,35.101653946344285,34.14960427429708,37.93900145555583,39.86019168920246,42.55519115662452,46.47629853261368,46.05490258447727,47.56158152340998,52.6802909837462,53.330084051004036,57.50259504625043,57.83932039145816,56.55936457156159,58.33921600444016,55.63754028010482,60.57784858668982,60.24454130090302,54.991809226806566,57.543596781649406,61.88926393502456,58.629181380578764,56.36413187903058,59.73659612064113,60.70111449009613,56.502317993910516,55.509609184913096,51.70489662225823,52.262442913816486,54.44913562999629,52.31126946064106,52.52744603355584,53.170593820654965,49.925370689303726,48.37494229483274,48.57442899178152,46.66828924049656,43.3833561814152,43.48491127544026,42.735588446470885,39.583274580653004,39.00049207606351,43.006239784881764,40.92997874202453,36.60814434441816,40.3798845195357,43.80365380833607,45.00811629012842,48.02479901112598,48.046362378896035,52.40026835814725,50.819501863349366,46.752486044118356,51.064876130344366,52.952060712600385,50.097764380556285,50.03630622003505,55.815757355950154,54.984716434030204,50.61021552283773,53.435800913923664,58.01012733276217,55.9091268587747,52.77760389292661,48.25405916041231,52.367337509720265,48.42774720491118,47.42944594589143,42.6798462865469,41.86458218504586,37.05033005019133,38.28393386762903,40.835255513440586,44.52526818584885,45.16502096735018,45.308928533662055,41.33983408992797,43.67243624363191,39.1744891448357,36.86872596379047,37.957685862174465,37.46038262602132,35.11274987983986,33.84144314698669,33.453481601778265,30.783855295759086,29.317771975357374,28.53859486813446,26.75886953918821,25.84826585915427,24.617203893766806,25.518082557462545,24.58176077944363],[33.2432708074717,34.69108159939277,37.46352454325062,34.365003015552695,37.95751561017305,32.48801949701984,32.44748154200827,32.29477353572859,27.944599448945805,28.94307358761166,27.033498806812034,28.384777017193063,32.07740474506668,28.842357686829054,30.080376685178045,33.30461096475179,34.95474164141137,37.00025934467055,39.46373016057408,43.05371185155725,45.448422207389356,49.9624470372256,50.202842612988405,50.84146493034554,49.26450879264647,44.85374150394524,44.50061885223551,40.80402047361374,39.5147154975553,38.515854378602654,36.081367241804685,37.67567356798735,37.80409144496724,41.0590196663896,42.02385929296315,41.861318139496625,42.980775309488166,45.36459283392349,47.07316216786081,53.41731735573561,51.22947347431691,49.174006364016506,53.28653521163113,55.07201380192704,56.74936719311225,59.00181560074565,61.27123939011659,59.873680325967236,60.43934162712762,64.75503309005349,64.34413906027982,65.35656528496558,64.2913655473268,59.669132871253886,60.010311355859905,62.652486801584146,59.83744582213606,56.311666140699934,59.074430621888624,61.28850591220732,56.05734280609242,54.30630940665587,50.87131393859092,51.70545599697229,52.17257447829974,49.01489296992466,44.29015677778664,40.82236290188425,37.69354941569738,33.809866079200056,33.10040055022199,32.53270464059724,34.42960076892545,39.11519511736907,38.962917054742746,43.60425804077113,45.91080785602686,47.144687785446735,48.744607295307304,52.056135652221236,51.34232467302929,53.57346000879621,52.000809302418766,54.419750414406515,52.456731956164866,48.94887219854353,48.83641575567539,47.69960650612754,45.72182471582075,45.322339037032414,41.787130176494884,41.62053394639407,37.884106404708696,36.10663777424968,33.21882149632682,30.26957466683135,28.17638385106115,32.64122721815856,32.11275625550534,33.701807405581796,37.7408671754077,40.054251950532844,42.79178072552979,44.04440602911879,49.43671495910198,46.53769298986071,49.93543908649661,51.34201374855802,48.13539384448964,45.65347155929661,41.9178394911329,41.12436285036808,36.417189238045815,38.06216053673736,34.957836119851464,36.6061358008374,37.30271409896542,39.2458756609417,39.67408374715705,36.359512593559,34.150602513191274,32.241830618805444,33.84932911231778,33.6248282005861,32.85040551091479,37.978546067887976,38.11526856530041,41.84884400544566,44.937339079774716,48.088755686138605,50.21179095140113,53.79157813669506,54.801712551501694,53.45646383020599,51.160665862651,46.76364347502258,47.43949471494222,44.7380606805437,42.652675398198205,43.35953459810408,44.11641969801118,47.080093208105644,44.06711748987502,43.13088313056339,45.43478574203782,42.27338733476761,40.66750036210041,38.73618760372807,39.367102403670344,35.46861056468514,37.33809575218539,33.198999405469614,36.3548600154416,32.35060078452639,32.06896650681288,35.01573323716116,34.65009714589833,38.30280003387219,38.42246667495758,42.23764979601203,44.13376034085175,44.20245607696379,45.29504598190644,48.579355028428964,51.75012867696576,51.03995093371538,54.26338703816269,56.91687236915572,55.30011462676637,51.352610708054016,51.115448568565306,48.05685191717277,49.95918586942562,49.336288529759706,48.30962842875195,48.024853216468436,44.34027116895952,49.21432560411145,50.66742034694507,52.438354439181865,52.941677947831266,50.04396574343244,55.56700841383994,58.55190319410785,55.9380089141371,57.09513383439636,54.68782152247624,58.907647333194745,59.14754030726319,61.038449094152135,62.70815648172742,60.28258812480696,60.31422090353281,58.40157635915662,58.82285798758488,59.65980062624349,55.27316059169308,55.95164392621759,53.64925276442367,50.632941500521135,53.16942235102875,49.903201609109146,47.049221528366054,49.390342656701876,50.21289577328906,45.36513586963806,44.98432827089364,48.095975452332524,46.85543008165001,42.04819572966504,43.9632216600905,45.20354329206133,40.805557663797416,39.81539264197396,43.774802451757886,45.51097988471571,48.44142142772555,52.05692658768121,51.61168185893312,53.29236246112819,58.345511727590335,59.154603266402745,63.16632953453077,63.408324231255946,61.92767392400774,63.540715465607256,60.602641361901405,65.49572678937005,65.3756830462068,59.95868912596961,62.285945542806715,66.7231062453911,63.50654380113093,61.01864651979622,64.18929231640027,65.35836054035373,61.2115209905376,59.75622753257094,56.27740714028083,56.53032235260357,58.890450747110826,57.032204657496074,57.06727901964047,57.894490108862385,54.35360138609322,52.95872155450179,53.52578760778469,51.41635528764118,48.030383456879335,48.51126475528139,47.90084202532771,44.74008638223525,44.31595677575706,48.487128862222754,46.47789548857008,42.2375762063661,46.12291560365901,49.58366688386615,50.71064569532824,53.57714757051067,53.344155222639,57.74499309804043,56.41445222633599,52.183012867444994,56.30657314570472,58.386832410438785,55.568385717635756,55.19242528448425,61.05157382754897,60.39325597533448,55.836900572723316,58.42163770966981,63.181054436196725,61.16565732294614,57.89208011378636,53.334212180539346,57.479597558280496,53.48236321331456,52.80974301487169,47.89399052078426,47.1168247148517,42.26506016639357,43.30497512878258,45.69463853682517,49.30978961750555,49.78627560079678,50.110761557231434,45.81697848550668,47.963961878986154,43.210135405620036,41.42033772078017,42.39585839027915,42.204509287768815,39.45668119102824,38.26965526147831,38.462422512790205,35.69552270189566,33.695186522511015,33.56725100424623,32.092942770522555,30.75442512847847,29.11150914926376,29.42463029490133,28.197661305543733],[32.08052270167391,33.399655750572954,35.839076434847485,33.08615718966197,36.208226206110574,30.389396502311378,30.109197923489933,29.393858084546313,25.147180409254798,26.324201521098818,24.12436364020659,24.944356768895354,29.097781506068195,26.325013725201842,27.14877563305683,30.221711699198462,32.36116716337763,34.47095456441426,37.42515497868699,40.68591494732376,43.32133612883749,47.72999530995996,48.27973814604355,49.150365041330566,47.33844889456953,42.99420423200753,42.35686118139778,38.56276201059293,36.874951474968576,35.474980899119664,32.98096863452765,34.1923902397773,34.11265936791959,37.546157434799014,38.62897136458354,38.81387062201593,39.718745943070296,42.58265500488471,44.45664890305283,50.68464093496424,48.912045662736865,46.8159367254478,50.80629606360611,52.66358124788973,54.60166663168797,56.98221978132576,59.2171165189966,57.54217333061489,58.1488485643048,62.43109358339698,61.80033922993881,62.64335481718004,61.488253700026874,57.01901722434672,57.03579296518536,59.748290812522264,57.16504857301321,53.461248054128745,56.092460284613665,58.56114795845681,53.47446473932177,51.63660669632009,48.04863020283141,49.264822823902314,49.794723916204,46.4401942906162,42.043868028080276,38.33173561618791,35.65037281559506,31.5231768049391,31.213775477425752,30.91409549160945,32.28365582754855,37.03923709725268,36.36174344982127,40.89722138463266,43.090723996808684,44.027310126603005,45.61191586223273,49.00231903247627,48.07433044794327,50.45666918806159,48.64613725892394,51.239692466966225,49.54742751653534,45.89042223340795,45.89305050619268,44.38698766708733,42.715069253322156,41.97231740025638,38.66721438539767,38.56566821132578,34.71173847168248,32.66406617672587,29.855965628594184,26.837222988119812,24.895126994177254,28.93053117438567,28.346090437949318,29.604741239110375,33.90948223108675,36.22357265844587,39.155059285524516,40.50963409005675,46.06898064126817,43.38847638764306,46.73917469516633,48.422377793984296,45.39647442450089,42.64843332661898,39.171491510101006,38.39694758469791,33.76404469995015,35.717336144787396,32.611432773448975,34.66172271940883,35.287797164290026,37.69595796844886,38.04244436707168,34.33293918006535,32.4178001283668,30.338626154223256,32.373697631723736,31.884082138216783,30.872742858408127,36.00597413593232,35.9107621035883,39.53055583232176,42.520843555803495,45.40028812439182,47.88840276159658,51.234795151510845,52.3686839970205,50.69204919628874,48.804486434502,44.49358508820287,45.56029541575692,42.95297381575672,41.128204299733824,41.57279069361821,42.7907972056948,45.62235202016057,42.350531666102135,41.23060019766279,43.23245082069236,39.81194750886227,38.313050663104626,36.02532310656889,36.48019548237041,32.49253290266109,34.131367281581,29.766632990394992,32.59180768101017,28.421638308083562,28.011290652754834,31.12342498783383,31.04000310828977,34.78134216504439,35.052504441397204,39.06453488666205,41.3689535948432,41.40674773744776,42.98951368723143,46.06068227565886,49.51312019792165,49.23382989660366,52.25389533345461,55.17500554582576,53.58550769521613,49.70191768663926,49.19165981642996,46.04262243101879,47.55714383363309,46.64202395713728,45.37645500300759,44.79416090471623,41.068910993102406,45.73284358513154,47.50577737432329,49.20324833977204,50.09345824491045,47.06896017809435,52.716632446824114,55.82584823308478,53.36235547942247,54.4886664987989,52.150752672786915,56.446120240026424,57.017319615341606,58.77052467324403,60.54128524067373,57.959976179708235,58.100187012788126,56.17823055606577,56.535564665475015,57.44572752360435,53.18113204679538,53.68198006526376,51.507954748125684,48.218974035648586,50.76315466643091,47.26504966205432,44.600181777411564,47.262679314797595,47.87100412515383,43.01374474748092,43.1745914201881,46.17011459751364,44.55946916477354,40.11152432514539,42.312160019822656,43.41342994852248,38.89784186893129,38.384887486769706,42.48784900542116,44.25309226880668,46.96905267383634,50.862989672791755,50.03949437846804,51.58734611822593,56.54734441047446,57.23713753229373,61.174228667787794,61.106490386905165,59.53512754776233,60.930681798832175,57.86085962668597,62.788448052783735,62.92253395569067,57.59056307598026,59.70957958332555,64.32554124448478,61.34010581931535,58.76022901428022,61.87602548475727,63.37091961130047,59.33290445158363,57.69317738738171,54.15957359063039,53.98334540726048,56.22829004449205,54.30958853495774,54.048203187861645,54.74367468014427,51.092536406330304,50.0028855301041,50.54571464777485,48.17394882719272,44.94192601297125,45.72195834135534,44.9472726485616,41.766603148606116,41.69701792871976,45.84605053426778,43.7549301550487,39.73041567147256,43.857955947301555,47.23013289743295,48.45575262070251,51.09326477050728,50.72848906117452,55.17828741359297,54.1381859212655,50.002651187588,53.9624366837028,56.28779070747494,53.648574828078424,53.20020637774671,59.02364228402248,58.702934982938025,54.24546811918873,56.65452537171966,61.51459572293302,59.78941406750369,56.59103939755697,52.14951707796379,56.559074439175085,52.77905577093852,51.95090324485907,47.04177916802706,45.83646561763985,40.94731403304406,42.44500978585626,44.647133375862616,48.35547407277072,48.55008125462694,48.50150548533329,44.03007991283411,45.84790616933493,41.09518270019962,39.24938471333617,39.69880367419378,39.40586288227471,36.39752804303941,35.7073962965922,36.03491476133955,32.918930541581666,31.056590005861025,31.46036823381246,29.67335615678331,27.879828634351124,25.941949105009062,25.984165494366707,24.49370980719984],[36.16050234153919,37.434929504641,39.647004265012185,37.069667295660786,39.78350405574729,33.81849597113794,33.193073626180364,31.971390532634224,27.78560274167639,28.727172618420628,26.060040721412342,26.393627775401892,30.775428881195158,28.28454587072498,28.25235813987847,31.225473305109247,33.86167068010368,35.52227775368471,38.589775805794005,41.67758184601673,44.18779754124207,48.51492797443182,49.13396531618096,50.33375836019608,48.630167232333385,44.41343656553799,43.8807591170864,40.221784069047935,38.12998862520742,36.54448634195979,33.29949071777932,34.642107279253956,33.91528449653886,37.12686883635116,38.74228417397113,39.31646336826339,40.427800915390435,43.62912774981276,45.81495311982684,51.896087313488586,50.461081394053416,47.95275654333832,51.729435881401585,53.87553354583904,55.907479279660976,58.51139650944135,60.53529212822592,58.657205654075824,59.60818750553568,63.781854613655376,62.816857961870504,63.62589697160938,62.2574577507219,57.98725869928081,57.682156389530086,60.188679268068235,57.73519201237228,53.91900297442069,56.24790932351789,58.81280452638026,53.81686080185688,51.57227314521332,47.847955362418816,49.098627276150744,50.05379490664727,46.79088990708422,42.464453865081765,38.75736362010266,36.39067086381016,32.19167080503229,32.08860428255835,31.45978921978968,32.419120986545025,37.154306878017216,36.314153473299285,40.29893438030752,42.930685140290706,43.43363847556939,45.398374918867304,49.053582324483415,48.30084285464387,51.0856322947406,49.32801671159733,52.25858060426062,50.850684387185396,46.91036883537929,46.637734127670456,44.774109516707256,43.01621789408899,41.615195328730685,38.375979587052505,37.75535240322201,34.03173742778914,32.06400657497893,29.872041077066754,26.49907133680289,25.317592950487636,29.076243335915272,28.927988850171413,30.019118689919907,34.39343085986772,37.15918264670437,40.049387899687076,41.90167241762575,47.60175751305694,45.374277510534995,48.76920302880706,50.76864921687167,48.02609326349512,44.989991324535374,41.83051593989664,40.87071614773563,36.33776721949719,38.35257325997856,34.983818201798755,37.23649772453434,37.46070832837291,40.088589430336384,39.85735890669261,35.97745491828985,34.44731768334048,32.58843121493673,35.15416610654655,34.78157387267903,33.8923016810022,39.04722860377422,39.069310955540104,42.424907120156824,45.37698278887325,47.88611017942736,50.785225535491776,53.91941171936467,55.02040302156713,52.98837234196631,51.44981158131837,47.19951108049508,48.713673127333365,45.98683425394192,44.20765036348826,44.28823397184082,45.556315247568925,48.0327682300142,44.508938401896536,43.51140419021503,45.15193281115206,41.59658410680517,40.41107323934621,37.97136318343593,38.50582210525438,34.626156795931735,36.20261364935981,31.665928026469402,34.030459358943524,29.7125664754142,28.899581914857755,32.13779372198166,32.32848108532219,36.28337572548017,36.418853660818215,40.87388232405706,43.44039680200211,43.085195704957,45.18663807265476,47.907232604936326,51.732606138174226,51.869489344512345,54.87643667304236,57.97216323406455,56.58790726568026,52.709189410178006,52.05694143704581,48.73980031513745,49.84643980841169,48.644183084576596,47.04345834514675,46.21082329268561,42.27192475263437,46.635865196528904,48.741571227506846,50.53214938964522,51.85512612865159,48.9936942556619,54.72558769258953,57.898223914570984,55.5161266396439,56.31226346374141,53.83024475132646,58.12002449583535,59.00125603700462,60.85586878973066,62.83261751114702,60.23299637495225,60.64550529013537,58.84638794470784,59.26496808810808,60.353355171241965,56.251954650120275,56.69404321267275,54.71947435803344,51.21441327659417,53.82515851606629,50.13254267622917,47.64233100127859,50.60292755824755,51.04399595041323,46.2084854795123,46.798795858909585,49.70125751946722,47.776135933378875,43.66642536327023,46.053008493421096,47.00849507624494,42.43042486315575,42.27440846352867,46.40483855804211,48.22174988721097,50.72832877231926,54.853030552783856,53.79525405182303,55.211155840208555,60.09531757898816,60.62843275398209,64.54740923006507,64.21497627491308,62.59504717625146,63.779441278195634,60.58915916941293,65.53043731917109,65.923595449669,60.685016159716234,62.579127912943875,67.35270362564414,64.58494166011832,61.90609034666539,64.92222917166625,66.71783156122049,62.78730563447803,60.91529139229331,57.42800727564445,56.82318342942705,58.9849936899574,57.05979421733014,56.46288958949208,57.00706975284999,53.224157998390304,52.51810211956312,53.038693060382656,50.35309168881162,47.3458706757748,48.46401289458123,47.472786919555,44.28700147912937,44.61898109344886,48.66762570790036,46.43540538971618,42.677670941483264,47.00715647009496,50.23600493210977,51.61498817148647,54.05044675706679,53.604602932413144,58.079512546536165,57.28972635924727,53.294706141416626,57.10140495923397,59.62333853613293,57.1400570324431,56.64293236555629,62.41597770795994,62.35386355525446,57.9816550257505,60.23982731760968,65.16991777076596,63.64955157331574,60.50121174407857,56.14280747810206,60.68910101667134,57.026733302115325,56.132410243036844,51.242207507146524,49.80746050444328,44.91963515746011,46.6496757346845,48.726617964209346,52.45977658753253,52.467079166515575,52.21118609081637,47.58822198815109,49.109522680398605,44.333491931207064,42.57346160606053,42.543668908728705,42.186972062391504,38.89322025683833,38.71933315723911,39.219559009531075,35.79367847641016,34.054440549137595,34.964962710920545,32.90655935750758,30.71218054593568,28.479659078818955,28.12830006279184,26.23989800599354],[34.70315813214993,35.61753746130561,37.42359709803308,34.598536791808804,36.93106859525139,31.097777606091178,30.106469380001027,28.910972533140534,24.568376504628112,25.12260342609839,22.338131379839687,22.86598080534191,27.00607474421789,24.397912272167012,24.29187919296872,27.323123926726957,29.882372301026525,31.480917849204374,34.52653071067615,37.62505679748765,40.13732431308026,44.472276915757575,45.097420121783756,46.29136204449343,44.56836568576474,40.355189382161626,39.83587034436555,36.20556389465622,34.129953793312154,32.65413434682614,29.386936151957915,30.911979574693724,30.327671291315706,33.48239299196321,34.9766278938946,35.39732652252867,36.6119735722097,39.65618307364562,41.83715753755589,47.94120430602181,46.44870439035406,43.90595846434307,47.698741560048084,49.84613901851624,51.857319322973254,54.47204864836712,56.48913164435,54.62179545772602,55.597016263537306,59.76845546055769,58.815153714772784,59.663690363182916,58.30954568925835,54.00087123886384,53.78129396346183,56.27182369968396,53.755878352834095,49.97985097158696,52.37510552144058,54.88088986176701,49.847318873864566,47.68286693193874,43.99899057151584,45.2316045114047,46.08790912730478,42.81059623613477,38.4662041639066,34.75239535516215,32.35916155645601,28.151789170140756,28.066221473680933,27.54877173738837,28.489731378556627,33.23989517406074,32.39880550042,36.55278389261045,39.06402755380881,39.72704444902853,41.60166192276896,45.197293516333815,44.49680725757597,47.22062871771408,45.59119235976462,48.48067393645533,46.98387025668071,43.05003977011402,42.70267321670264,40.978751915418215,39.10585012361327,37.90554036673387,34.57688098763746,34.09918009156095,30.339008969731108,28.415027976690855,26.064382792999332,22.756517082290895,21.427755813740113,25.463878748028673,25.430196597764443,26.99903060972926,30.988703473978713,34.00192024369553,36.58864118591305,38.6205345351751,44.222174367353475,42.08694287255373,45.65741501097149,47.613697866175286,44.98650261146027,41.94210616597092,38.78585062072541,37.51625316797734,32.97278751264999,34.791738998133404,31.235630226110047,33.45654366060001,33.53336488773609,36.18234556233631,35.839080013121475,31.939106271864567,30.465257808220812,28.672300402685075,31.394938417465948,31.12991140856986,30.424566191614787,35.61319285473237,36.00538439684005,39.1258795623709,42.16242336248103,44.54590435226709,47.54554688319665,50.703017196229084,51.6145056365824,49.55851627045147,47.95346039542837,43.677712202843885,45.36518511476213,42.457754017566664,40.61567807495162,40.54178066764826,41.761256602844895,44.118846650153635,40.542368131177426,39.59969195733058,41.189446540575176,37.660932623958786,36.54556061023489,34.19546239252313,34.90126978350392,31.16553385263934,33.02071275355782,28.635854242298027,31.281976319231013,27.404600702694914,26.20266385724501,29.124640778153363,28.99181125545505,33.02484031423976,32.85986323413828,37.41704631775791,39.79021796193844,39.25749580448273,41.35255209798769,44.021409115729654,47.89117109755996,48.08767193410981,51.15976393778729,54.2641541986122,53.01293101236719,49.10889651229079,48.466812366516514,45.06596311339038,46.11215521106494,44.91963325677585,43.30654043864501,42.591056090313366,38.58072272355367,43.041820698580125,45.000525643123375,46.890852604419095,48.117963150172365,45.45036009849433,51.145228569263544,54.26405226383074,51.81853933228697,52.47173494659219,49.90843661896045,54.179109963590214,55.05370696816311,56.985495221781065,59.01424038667389,56.4728934774188,56.99264907064528,55.289414194972814,55.81760094873971,57.046492189502736,53.01915938542643,53.60486221502399,51.8204274019029,48.321204881987136,51.185317572470595,47.54618581749712,44.945270942110604,48.08488641975644,48.73475441120445,43.90479714266107,44.44535220133919,47.57398950451101,45.85253838536394,41.69176184020636,44.1971989086203,45.39313356375032,40.841341885076126,40.637494155554805,44.9717669774551,46.5456833126796,49.31653060907371,53.07000642422805,51.924143175352256,53.53859523814786,58.31506545417921,59.100090869707486,62.76542061881448,62.386065007336654,60.54960538150604,61.622094988965216,58.25999030449732,63.119650152233625,63.62699230863238,58.240470005965136,59.98668279789068,64.77528875520424,62.02216697664195,59.19553424014655,62.06866160402106,63.98006022070003,60.105518018891765,57.94095568127389,54.67463178247584,53.91566642643183,56.20707781920541,54.52175430424177,53.91026342705531,54.70842975410462,50.751577918655,49.992150823090604,50.87948681793764,48.206130657977376,44.99108185588195,46.300861228235455,45.60992404506582,42.46854936962551,42.740532179950705,47.00374229378878,45.00708032492226,41.24120994323585,45.55602887725496,48.89049270061785,50.045164735049305,52.343964560625054,51.62177238627839,56.10129797283205,55.52437202553539,51.315297983791176,54.93001044757544,57.597103767183114,55.14777517062814,54.34383278683834,60.16311254271812,60.2718613467879,55.75677225031233,57.78387009944536,62.854691859329215,61.460875361028755,58.221212554832874,53.88622742158651,58.51798127709483,54.91202732074302,54.24581936358711,49.236339229806624,47.713440128509035,42.82638252743453,44.52019928065707,46.39399051921491,50.07564275257027,49.88810718381961,49.680274472626714,44.85292213859344,46.22859719589216,41.34505093009631,39.918866434888734,39.88606087342799,39.81420859143446,36.3475804240711,36.0671246025586,36.999402253664236,33.6616672171013,31.45283442442129,32.778067370125065,31.140510142627527,28.744818275676945,26.348116733225208,25.702246373275393,23.9314659903139],[34.36509678293231,34.95294408925877,36.476854567102585,33.17936393276763,35.31496839705669,29.825948948988174,28.524213352460293,27.685902639326756,23.090701387831263,23.023728115116466,20.25753216457184,21.398691407553315,24.903445805242086,21.81670999704064,21.851888888215736,25.06943686126441,27.219745440576688,28.648346620990175,31.33549416754734,34.67725060006754,37.01396982596548,41.43622258148531,41.865398470883775,42.940145886124846,41.36124388143533,37.10586298493805,36.81295909197299,33.28800272586597,31.46344695394362,30.391916743212906,27.06530625276142,29.113097795935563,28.799563638317323,31.713218479970394,33.02287549037465,33.044460084171966,34.56007911914714,37.11145066313841,39.21029904013435,45.41326572170767,43.6089051735167,40.99397147465964,44.87319302753247,47.009211671526664,48.83277212437623,51.40828141446711,53.414944188091056,51.71800619783345,52.738275062007396,56.92153512136494,56.0844501810893,57.0889949766755,55.7840328424892,51.35584866697131,51.411799491652474,53.80998204264653,51.08099784151157,47.45905156307714,49.982985655585644,52.2606317419245,47.09131579180144,45.03153985041962,41.48568806107315,42.432291539701126,43.17885072051905,40.030838472884355,35.42844849577084,31.874074736474242,29.14275228892183,25.074298298868143,24.72172554244459,24.100038829535652,25.384184918339493,30.123628904452666,29.651816972546168,34.03275757059883,36.53199429003935,37.55182977593018,39.371259682365995,42.86774174049749,42.400614870918744,44.9916166686765,43.684192335087964,46.44224096658403,44.69041989334425,40.83243777656357,40.28385182449084,38.94671166860479,36.709728047512534,35.92635679453062,32.336776970671714,31.926941539076306,28.238658031336517,26.596070554039226,24.059390041902912,20.881580734878217,19.30923291318104,23.98943571287696,24.169100752405274,26.508823457993785,29.833107814929107,33.14883742495324,35.23771619497998,37.44558236125929,42.82743096580265,40.69924229773561,44.50111769689793,46.263561697596764,43.68232297318417,40.76961992319781,37.48319422701696,35.8243052108097,31.22520410322414,32.61256290733188,28.78619476471874,30.722526591432942,30.61567238901266,33.0126899364562,32.50607931171916,28.813209505867906,27.236114783748427,25.66338108582342,28.37564876957236,28.441284004111523,28.136408871168754,33.3866997415137,34.38196313776081,37.27801581736031,40.47555381699867,42.85061934391199,45.78044767444384,49.09015296905176,49.703187106320435,47.78975920388197,45.88388645545302,41.52305759536865,43.21925276988503,40.01655893879601,37.92861612706796,37.793336741878484,38.66085338116595,40.92326786615101,37.40545984966134,36.66649177772807,38.361049564302746,35.01742217001133,33.946233040321175,31.929892980085437,32.97345887569993,29.480645376181766,31.81242583341139,27.753338129600806,30.892257122994216,27.62355305615465,26.079331950959375,28.514750766169133,27.832699665837726,31.894004723679082,31.261524400397388,35.83769043065957,37.73470812701085,36.967871320834604,38.78436213564119,41.49990807108782,45.28779409939265,45.3247438030059,48.61082147424277,51.58217123669468,50.49366144888218,46.51108385809285,46.036743645768325,42.56694626577646,43.749050828129356,42.72660781080386,41.22066790953155,40.816950817672435,36.7325468966686,41.414883803350165,43.01755270379771,45.08227639991403,45.98771327661741,43.64654978853225,49.22753439042832,52.212328491387396,49.603336600749444,50.070875089696344,47.34611834001304,51.54484612519038,52.23676095804507,54.3633194355983,56.41701657715079,54.03606426273915,54.647811132356864,53.07591010307092,53.77880766251794,55.145766829725,51.14291667481741,51.99622252754134,50.36936360529084,47.0190427080764,50.169870944591395,46.711682267442214,43.88922002602459,47.06573366762112,48.05768260095343,43.24198248058621,43.44793401052677,46.88748838978343,45.57344036240758,41.179649289778034,43.669050923397066,45.19116583016932,40.728088173941934,40.236297997711475,44.71416196700844,46.01406519673015,49.17105765684355,52.38978918562718,51.33785137852061,53.23014503709825,57.9368637602754,59.04463132350001,62.47822463617163,62.19964067089547,60.17748223248847,61.23504082530997,57.752973254557254,62.5039625298146,63.01154530696863,57.42301112956517,59.10689853054406,63.821151738274715,60.970426662502994,58.02348230035792,60.760308274622346,62.63851768831758,58.77178689002965,56.36202393997935,53.380898818474535,52.664945559583884,55.16266602102891,53.7782497845199,53.29766547445443,54.43641498815523,50.34924269126357,49.38191096756271,50.67948096377059,48.15203968887807,44.64364188902104,46.00992849457485,45.72024068872336,42.64079711160893,42.673924369185904,47.16689563770851,45.454688948837855,41.58149744252767,45.758066135716,49.23970077862945,50.11508946279368,52.380880138888585,51.432202853952404,55.8888006277804,55.39625447448929,50.91460739809177,54.40118375914439,57.103024120763756,54.60243982764351,53.49930688096302,59.38636786173001,59.51334298538288,54.791542758036684,56.64933608435624,61.826756884216685,60.425625333960085,57.04557983306608,52.67719333774761,57.270324369368794,53.61453561505768,53.283739183208475,48.1366514584486,46.735008003792416,41.86700011983483,43.28318095442033,45.023605853297006,48.599058293456345,48.334052774934214,48.378238958781566,43.404364935262514,44.78419539365868,39.769358327170025,38.76684798986583,39.00808894860496,39.30870666895913,35.791428546948254,35.127142191647884,36.47377638229834,33.420002402042954,30.617429930162892,32.12586225317823,31.110663937035707,28.74452924858347,26.34365645976005,25.532828809688002,24.056092077877402],[30.85111775044595,31.11273192522447,32.277101260150246,28.898820604751737,30.7405293089563,25.343524813575506,23.860762098122503,23.125734213087444,18.45748099036904,18.30646919250612,15.664436512147349,17.099458811873784,20.440934823380985,17.30409044345489,17.82201592739459,21.057447857461103,23.010098010772055,24.869531394197292,27.782859577849866,31.040525596412362,33.659408386324635,38.06612925563103,38.652173465420766,39.580991988635084,37.73227181231805,33.422358442924256,32.839803988011106,29.146545077508573,27.43074543972724,26.332331310563927,23.682398487241418,25.443377344804876,25.6854519277709,28.856244902418794,29.666769731146506,29.472763676350507,30.710868984601024,33.174953362952884,35.099313205947354,41.35970587683576,39.50434744969069,37.21419820313201,41.20159243253705,43.12734652352285,45.02965681843694,47.50007570283964,49.66282753818694,47.962152657755624,48.72348343296137,52.97615876289111,52.2895819930313,53.23167701915482,52.06138175288966,47.552259639971396,47.71211125282613,50.31720178089391,47.60606784733945,43.99387590649665,46.71611489871692,49.0437120339253,43.8922938329839,42.1926006900636,38.7071869344168,39.87853846286429,40.22052742156568,36.859125484050445,32.44987059233668,28.734467615225913,26.041174496375707,21.8964432256065,21.663911771833583,21.694175432458415,22.938351451749668,27.681277648274328,26.9706159872655,31.84174515749568,33.74747207608973,35.035756580068025,36.4299080475128,39.686425694855835,38.94915513259787,41.244677695518064,39.81416092898245,42.36527578672641,40.49515892250083,36.79552312031301,36.522667440378285,35.343669751837986,33.337020267648,33.041418787052415,29.540490624620805,29.760678448833215,25.902757625383842,24.040402025383756,20.898238704643518,18.149301604084275,15.818549652225062,20.602579518765022,20.428954887489798,23.044182073218835,26.130358855525092,29.20952271632523,31.219067251630516,33.19111496691204,38.468350018526586,36.17819871639768,40.02172026154845,41.66392576463632,39.05949743493999,36.22365591415219,32.86635886111997,31.13962352307296,26.518854037519496,27.88208287009863,24.13305560656555,26.132781703082536,26.226102742731587,28.762740768778784,28.655857082967735,24.83151021240613,23.14542289479418,21.290961277862348,23.941283731723797,23.81108406403544,23.40763408944062,28.651372524232603,29.702642264483494,32.53957621323328,35.757034297720146,38.1640093584026,41.04867715092539,44.390486781060744,44.97846439059841,43.13519528816386,41.15846584468707,36.79142984255619,38.4846391032464,35.31651047938688,33.31389014787019,33.205602955103124,34.3006907014864,36.70365137808119,33.20297108976471,32.26775143761624,34.04318320938006,30.66399232313789,29.437175710343382,27.386814195913008,28.378177819329157,24.868621416610168,27.32401528033831,23.444819942718567,26.93434103955631,24.113392854399507,22.527115991722738,24.6474455695876,23.657256151317128,27.61575564080359,26.96381857049537,31.345670265514627,33.13436082841854,32.55853894022705,34.24187383208949,37.083748814478376,40.76328092535212,40.76537825115351,43.97310996312983,46.97367714759594,45.81861255845433,41.85941315685533,41.33772467541425,37.89702677096476,39.13112575509567,38.17058827092324,36.78805045044831,36.48484031955619,32.51859045659414,37.37101938279684,38.79759488723837,40.796607699172185,41.522929651524855,39.09773574217561,44.65307300014601,47.625983412718654,45.00690414216417,45.63995688195409,43.03506547270689,47.27345273991281,47.91115056007094,49.905489461811094,51.883226335426315,49.45516913029268,49.97850446598491,48.36398229545415,49.04635224106392,50.40228412455742,46.40261383625009,47.28660389677644,45.712970116966865,42.38892847225113,45.646128485663894,42.26001050036007,39.35873393513219,42.59537379812844,43.72386839700276,38.93706263722463,39.09288646332633,42.657744231205626,41.5195689897121,37.10285539954849,39.663283538122094,41.35727044462101,36.9643181746973,36.45070600301064,41.05260839066296,42.14990034914028,45.47172927790569,48.403529005777,47.26640046233811,49.289442358774416,53.89125809512795,55.18965143698942,58.4188320140347,58.13365913585605,55.97771047463697,56.99352751943488,53.440793644520596,58.127674293467145,58.653335173731236,52.981272503090274,54.61421257580783,59.3019546635163,56.441809077668765,53.43771815001841,56.11988294961886,58.023049758142136,54.186812961365064,51.67220289477915,48.77640909494137,48.040971770834915,50.60756829856136,49.35235382320191,48.9469013160249,50.27544612909942,46.140888676696,45.03343003260648,46.56164596516528,44.14759577220411,40.456579693306956,41.85883589612013,41.83912590023137,38.82353899360276,38.72317406898244,43.3595570845552,41.880269028168534,37.99540392739776,42.083329699855284,45.63764377510046,46.30419174859075,48.47700533865117,47.34631426602147,51.77830249365746,51.402144100225,46.77629480035297,50.131113519605826,52.8981814300801,50.423932494254686,49.12823013201062,55.02508554745023,55.255421653631856,50.46828324822708,52.18069997680255,57.423208522509775,56.11886852777541,52.70813975194966,48.38707197447264,53.05148164231755,49.49081139533298,49.27041340736013,44.08232414653074,42.56645000399638,37.73416215750939,39.19045909559854,40.75911943493753,44.303503397975874,43.88998926971519,43.9089972605641,38.841149266110875,40.1447555221289,35.101207568589025,34.259192590525885,34.55568293053538,35.053284972049696,31.517120763615367,30.67442961683102,32.286345110128686,29.390366645074554,26.243089178433436,27.993504007312513,27.374553482820847,24.952372701492788,22.54394851174413,21.62456791312006,20.460260174376643],[33.66796859583017,33.68908601226775,34.401416956088475,31.079528590541702,32.26896808844683,26.992609190916614,24.968771181666945,23.818971428833912,19.258006384065478,18.479782363097243,15.3152136322457,16.40603475115246,19.58898152119355,16.6951653535011,16.11591673042592,19.291870138918426,21.66002043733894,22.942301605321635,25.929098195106913,29.025053864049568,31.51226257610378,35.851191973587596,36.50408794728455,37.73794232017832,35.98388306447596,31.81204438822502,31.358314459696143,27.85611478821646,25.763509111036687,24.616076773534314,21.140140053932882,23.286348374511107,23.035129051135833,25.90534492068795,27.11319236898551,27.127330965396887,28.699295585781183,31.310367155253754,33.52739191533402,39.6544689393226,38.059356062792865,35.34233464581111,39.140876022909396,41.33422196922481,43.292119076183134,45.97067236746361,47.92757826275907,46.06036256020428,47.1590232495412,51.30608217076189,50.33203945873669,51.284017041190836,49.936439443764044,45.57556973250024,45.526452398737355,47.92167795181418,45.26306591860137,41.590586129275124,44.099831056417095,46.45261270756074,41.339053525728,39.33396565366056,35.75358472454379,36.9315687833742,37.57946786225682,34.29037692465835,29.91053317661864,26.187819050788256,23.774542195427895,19.539517482878058,19.549552874295976,19.35424458534005,20.13644032742398,24.90194379508833,24.029533240925467,28.575542271586055,30.7933355992922,31.847828122930267,33.52176778680135,36.97905203104994,36.470786828721856,39.08451199515447,37.8423287982619,40.66004688500433,38.970121678390484,35.02146315902277,34.399862327194825,33.030027862607874,30.8003633231886,30.083635571507642,26.52141791370423,26.38311922513155,22.58960919947658,20.868428553294592,18.163290364967757,15.091491176034543,13.42224860883664,18.3018982353024,18.757595003352936,21.728847363729322,24.397138817035298,28.142730430138943,29.778647379987397,32.37749364559571,37.64066326912129,35.86409022077177,39.859477283169575,41.72444129477272,39.48950784769253,36.432872070003064,33.4090270573421,31.278435062539103,26.83508339931947,28.04007314297394,23.930203233058766,26.047704435969898,25.583738802857326,28.31291085855771,27.507825333669608,23.5304818620916,22.33476532332242,20.835310882753756,24.123243492719666,24.225952454978888,24.132651201062103,29.283534192589986,30.73075954848704,33.08059066364432,36.28390064794147,38.22650809538365,41.52059731072274,44.66454832695721,45.060272764017284,42.90244505488236,41.19259003477985,36.905414762891574,39.11921865217118,35.734786315503456,33.74503607622703,33.16500294108176,34.23728678659299,36.170615315803204,32.41433921206451,31.66665326141023,33.030883659785395,29.579879951786015,28.747234498399838,26.673299701069016,27.905341034949352,24.71445459670445,27.324326524488097,23.52638243985515,26.762791451035845,24.27825534439049,22.018772860487896,23.88090303054164,22.83574264019269,27.00490237494166,25.921038110604933,30.77214688576849,32.59506209917649,31.472975594871354,33.62455742935458,36.06316711692617,40.10435161673021,40.53489838908395,43.765575596169704,46.90242479882254,46.050393747292546,42.110038454585776,41.48010530541013,37.85202297395524,38.6510654585172,37.446477421075876,35.75262455364117,35.33432847352428,31.120969672468362,35.761062990714734,37.34377480034316,39.51812673853064,40.54338198766511,38.46645976304723,44.02222823192164,46.98451825226557,44.395847175888875,44.59569554504428,41.79164035498802,45.98874087950217,46.893364389288834,49.04441829379308,51.243302592041836,48.86208485439745,49.71840046322593,48.304538929169006,49.127735976385424,50.741357191336995,46.97319363241111,47.91409672008542,46.66964018626926,43.206264719375675,46.67558814110178,43.20628947069944,40.40321109655524,43.97538672801038,45.10413374473539,40.39953158102341,40.86470922677096,44.46230786955642,43.22616663074777,39.10196511486461,41.847320195288724,43.55886340163006,39.19098131931423,38.928800466108974,43.61214095950829,44.58939297436661,47.8792075746238,50.727824877094605,49.3655622607742,51.39642160814504,55.83342831130769,57.165175997747426,60.192541990116844,59.67278071691513,57.344004488638205,58.10791129424599,54.35984983197206,58.96668655180107,59.77892107431997,54.114916580194496,55.44544951425425,60.2400824103862,57.58499699620972,54.41428331425267,56.888893149117884,59.108972441477015,55.427990204168324,52.52574891453034,49.8598760091013,48.66093135659299,51.23669683853612,50.16788115255153,49.47965867849881,50.864878702804184,46.52530016653781,45.704140902189884,47.47113332749961,44.8364550618158,41.21558466466946,43.016967635220624,43.035981598259895,40.084846855374124,40.26342491165306,44.908540118481284,43.4915290475769,39.8537862695035,44.037998447496,47.51329899683103,48.14721562916322,50.05331572822754,48.68068485405338,53.097488072310824,53.065903095067206,48.44681292350657,51.51770126800153,54.517356084204366,52.20843767137146,50.675985514194835,56.51644729622502,57.065225468367025,52.28676042684334,53.70467909139757,59.06076272457582,58.01265032902889,54.60532486858011,50.40474162146789,55.19106346277235,51.7881044117187,51.666126079755315,46.470182817844595,44.73900997586559,39.9741465254728,41.56569248704872,42.88241725293447,46.366077751722386,45.67541838712228,45.562336994719615,40.29183033349524,41.2220903609344,36.15214215620138,35.650991455058076,35.5377997602699,36.18712957566857,32.345095336205034,31.87707294378283,33.91044041062206,30.88504840688985,27.58333233873733,29.997370379024524,29.445447870813588,26.641515945866768,23.962337290734645,22.521725091646267,21.163364065382456],[30.56165599262032,30.26373020937417,30.593025717616218,27.270726426245655,28.106746220809146,22.94663314181033,20.709540700357074,19.61412894396955,15.021359963822006,14.11343006609248,11.00786230262971,12.42625946428669,15.468997949991024,12.578225182826579,12.570354533816207,15.765466108923555,17.960928028820504,19.832153355315675,23.156934912603866,26.104340956333175,28.951574122773216,33.24951449403987,34.1030818476895,35.17211067893578,33.08890708986662,28.865692296148335,28.031767556831667,24.305868462649823,22.304014503898447,21.058453133265928,18.47605476109365,20.16942447993944,20.611513087742747,23.824603135226436,24.418468294266813,24.211120884930992,25.39326246862007,27.964450516887766,29.981707095373764,36.17634977342765,34.55389756565438,32.23600584981177,36.15250046284489,38.09777155835864,40.168838443716865,42.728193125518516,44.87084657073458,42.985076956751854,43.77486195397492,48.00247676269591,47.191028355437645,48.05573011628343,46.854522123955086,42.40803675414977,42.45225060354145,45.10282199817257,42.48993253933488,38.813080506168646,41.54040004961758,43.9765527319363,38.90318386498675,37.31245145760406,33.802841911025254,35.26407754565796,35.448577935914976,31.905613322879418,27.80588817897961,23.889897594253874,21.58927898148296,17.28459859501912,17.501400783169,18.156845636641965,18.82678319210636,23.508155658010182,22.310611369439883,27.373267736811105,28.86392273676427,30.193066897422877,31.354973347142856,34.52542975819632,33.665494168332486,35.93855947217439,34.50848209901019,37.09787940718093,35.2925742476526,31.517427926564796,31.25722544566395,30.034093574911857,28.1353447324025,27.97085604119151,24.57247251617737,25.202275868582433,21.24694465021419,19.23282832256046,15.773994652068895,13.339234959151563,10.61003731020176,15.531829834708834,15.487525771169091,18.75008998897845,21.164866090768154,24.588878409410697,26.17959555901233,28.480793426205654,33.654553397344074,31.6834988276299,35.708642451652715,37.45775176227574,35.1908311925095,32.206386436803484,29.120065165937348,26.937252198393697,22.475337209193174,23.699057021637145,19.690052249884555,21.946844574540414,21.736889497638803,24.68412915171323,24.38532895526816,20.217649388697893,18.92297868470613,17.03709705910368,20.28853104847949,20.105200917188082,19.853154765263398,24.970581138609205,26.42837187759219,28.71033312213297,31.9181237810425,33.893434894266306,37.149102476202195,40.31441073186682,40.71728005146592,38.622932678264256,36.86280814028928,32.573625720939106,34.791066790925065,31.481175871938593,29.6260239053134,29.076098877418836,30.465479865343653,32.569597318514646,28.82778841431859,27.8168857673962,29.260542160432934,25.731938526326235,24.70578292303038,22.531471816698595,23.66898967842545,20.429001459243942,23.1572267939658,19.55701741878712,23.162954621574283,21.19948497328565,18.917236555320144,20.403456413807277,19.01234914641245,23.066687852150025,21.99266109796674,26.630100268409496,28.38463317050348,27.514184360902338,29.553791091074633,32.14090246007617,36.071603185964804,36.48051240343524,39.59674736325588,42.78316747515109,41.8333433927904,37.929117454323915,37.22405184562077,33.634059938622684,34.47601162053586,33.319849877237786,31.755002128546494,31.41907777130477,27.34331682411205,32.177551921803484,33.594951677206296,35.67442177793689,36.52648292536446,34.304972934822544,39.85682450395714,42.826412026330125,40.24039715795815,40.65925292027314,38.0116558823136,42.269276296438946,43.12951490230074,45.10570716834969,47.2134741867577,44.75799967364078,45.497285985898436,44.01555149774915,44.794403233954355,46.37786881112662,42.60567033488603,43.55068623335341,42.3451323509016,38.89884765652104,42.450552083454724,39.04828958905161,36.18603242720124,39.8137279802633,41.05328849809271,36.395716650552046,36.84046939110257,40.52509776353775,39.444322401467694,35.34325834980461,38.14833844977591,39.998412370157894,35.72992126772137,35.476089877212814,40.234271303436685,41.02062601907272,44.42351309711994,47.01196192506698,45.56157419595311,47.693005226202374,52.014756693346754,53.51137790369886,56.344444214963495,55.81714754225106,53.37661714349266,54.103805908384146,50.30333185721607,54.84990902236225,55.671349552163576,49.94554981213887,51.23456165366255,56.00219894244779,53.34216717638007,50.12954973435006,52.56290823057965,54.80322989553797,51.15544816019362,48.174864781672625,45.57073563816412,44.35263048817062,46.981277364194504,46.019813347153125,45.406556983093026,46.963177231370075,42.593994144155076,41.63542463223068,43.607266100218474,41.09208163455726,37.307728200052196,39.13516717009828,39.4088700319205,36.53487007653057,36.58916418795555,41.34169601344766,40.15226560500006,36.53453608465648,40.60654696376042,44.12517549259301,44.56396378330597,46.373012449473535,44.838667324777106,49.21950069230196,49.29359292553068,44.56445098750913,47.502746262930685,50.556028774228814,48.28299398436128,46.58470939684941,52.41609238453167,53.06319101933154,48.24992027336417,49.5325124430327,54.93310374913557,53.98265714049423,50.56630457021003,46.43123416902141,51.274327133547764,47.988049456575574,47.944752482711245,42.74787938752792,40.894789378196045,36.19671530335046,37.849769314273615,38.98739681359236,42.431355470949875,41.59361091890184,41.426535732081746,36.08470428426515,36.92336572835091,31.8446389694981,31.490413996832576,31.401773315905384,32.237473165326925,28.38896093024995,27.76787092057723,30.06218987709949,27.20923389293185,23.59104218184918,26.27626481023825,26.11616906367385,23.277237967267514,20.622070099925637,19.05248495821361,18.06349365572785],[31.207416733348428,31.0736920691116,31.92974436954725,27.881547919004944,29.550259982161705,24.86726684789507,23.080332148917833,23.09491308920492,18.251978621610306,17.11383323571564,14.837807264397231,17.381413601261883,19.391442280153488,15.399197765739892,16.478198385619606,19.917864434794655,20.927148740169624,22.567852680736106,24.740289038958725,28.44577628914867,30.75369624052647,35.28892711770222,35.51532187316933,36.16185059853124,34.55629554072763,30.162067978854278,29.961533596613982,26.45176990736343,25.317090247166885,24.9784872644455,22.489086644590135,24.995695231434553,25.74565588493532,28.47635543123033,28.908040489035287,28.018400913964097,29.665455079120143,31.22365892230256,32.91659236783082,39.3063590815758,36.883460228231485,34.58604716411755,38.72769095738576,40.56580775350088,42.13108822796774,44.480821546410546,46.66278823765542,45.28873546584273,46.05079488802238,50.328167139143126,49.88968112079411,51.0721356444065,50.0188372953962,45.3131941152893,45.95666237169793,48.43172974636094,45.3896953805491,42.067367923203726,45.00576184397209,46.943034789684155,41.60796848742211,40.144512729561455,36.939299490620556,37.621766358806966,37.72738602139449,34.60504812761983,29.799360303565226,26.42364091344057,23.08934132622712,19.32021800977936,18.50974534889259,18.434888097857396,20.421128260525983,25.025887560014752,25.019108522362494,30.223719320204495,32.02311226313509,33.9011123327664,35.14455300681515,38.16367042508904,37.76905186264805,39.76774474706588,38.82893515450559,41.09050778232715,38.796981686285555,35.319649024252605,34.79026898435812,34.295464801415214,31.771797416549035,32.226484115104384,28.398035108174945,28.775239734627217,25.145820906306156,23.78999723891478,20.417023106323335,18.123534377048767,15.410667868779706,20.93747244158391,21.004321541014022,24.546842823304786,26.594939131520746,29.89237075969436,31.166283208563,33.232104446400974,38.06826170906937,35.71948306872069,39.809020879446244,41.07968890286358,38.49734977806993,35.9712670180451,32.40523571873779,30.196846569789457,25.566776708242028,26.177963588975363,22.123594771536936,23.50529323048474,23.397877414371532,25.36963807869811,25.14606300003147,21.80078800459564,19.78828211413749,18.308413024539814,20.708766243319022,21.173896747951083,21.4686537342417,26.716060685947593,28.673667142507032,31.202240808916404,34.62606756507282,37.09711618518657,39.72401773149542,43.31372341823137,43.47586632215146,41.955214144455695,39.45553578291026,34.98122213900131,36.52729817724858,32.95346195801961,30.534356186584972,30.447433865551325,30.89771721060642,33.246844208472524,29.93718983661116,29.333035822565694,31.38690884550658,28.395454670732256,27.16855881897248,25.76421517162207,27.26028280740247,24.200941638605915,27.309916802043382,24.088130627642258,28.190327028273718,26.243429371667307,24.423118588256795,25.80865169989147,24.053911656648225,27.84773459107427,26.56834963405636,30.750633573815286,31.711151304519,30.878851800858246,31.944154815183765,34.93187779810635,38.35025979957803,37.97157203606034,41.51599125939298,44.240341200443964,43.28239392198464,39.21313899516918,39.00855086932659,35.53232738015992,37.094803422709866,36.486286922292535,35.36993045713743,35.59854892003105,31.641519446539814,36.79032615940328,37.606441762350585,39.81760049397952,39.959899697292364,38.009222139242176,43.31533114122025,46.0515143255013,43.18806548934068,43.61490815349758,40.8105993096761,44.91095240620936,45.18327039829691,47.452874306209885,49.4080908356694,47.24174003819153,47.82869968266368,46.385561755549986,47.30561390560174,48.80113303002343,44.8145046074876,46.09236104594814,44.68946369074099,41.67517496661082,45.25784357482291,42.210129277951964,39.00574934101457,42.14806329586566,43.75843084833932,39.05531249618997,38.622376734757964,42.57130014496783,42.05908152998296,37.317005534730434,39.73984761017164,41.852725467840756,37.6682178642714,36.68026671953873,41.354730420688796,42.08711041899573,45.90200649242668,48.070671722233826,47.158848405147694,49.54042576096146,54.04065315889615,55.75352693657893,58.696981941244445,58.62143307615234,56.28412763492176,57.33866161436276,53.710390310132006,58.21911462019317,58.664682572319904,52.76143549992361,54.37007924787853,58.879728257110216,55.84834892175459,52.74296584322178,55.25653983511815,57.00838020576932,53.17194865171159,50.419440767328815,47.92046003990754,47.38235226595547,50.22125161013364,49.36601037597178,49.2212443409669,50.987416177809955,46.78133267145547,45.33211209188403,47.34274922233021,45.217553159760755,41.17849336963889,42.529441608765154,43.04006831833628,40.15046839630306,39.65855311906944,44.50614038730666,43.40357717583953,39.39115619975744,43.18539299287877,46.89247707992925,47.193286458016225,49.36762522236233,48.01705036932005,52.36268650296516,52.007641141151616,47.069821668580005,50.282003156532795,52.99708557128841,50.43112868505728,48.795845281295584,54.74024686337702,54.89877739470795,49.86205969493081,51.397113982021274,56.71194688049753,55.32891199133571,51.74175646294843,47.378645177351224,51.89377311013031,48.240398742264915,48.489974336638305,43.170399922114086,41.93438869061953,37.19701189492576,38.152770834767985,39.573703448357804,42.921455983607665,42.48244262752211,42.93277491464116,37.77714058509585,39.17427832215254,34.01860765840751,33.768024008413946,34.58832628139501,35.57694598893939,32.1471518856345,30.661049735480653,32.720667027463314,30.361779632111194,26.513273052892046,28.27466012836979,28.550251250607843,26.39288469238128,24.184731490265484,23.228068354482676,22.604052761410184],[29.868981248590913,29.383747696745626,29.93291789918605,25.49677869527457,26.98591579291714,22.87581731120693,20.946220613072896,21.575898043146626,16.772520586994982,15.095141107275595,13.424375750752747,16.744088057238688,17.74221482234059,13.272358838366193,15.245000207287553,18.649508443956954,18.80958998299676,20.658781297553716,22.4405254206487,26.33066294132522,28.61569949474852,33.169930406651304,33.267648113865405,33.598856439937,31.967652778537545,27.5064394541696,27.335050792133032,23.84167134107406,23.24122344044221,23.365029008200715,21.602659884049366,24.205133610803976,25.582998284705763,28.196495376771107,28.085004003948043,26.676393275554645,28.297135951698777,29.232983067917747,30.6072124974234,37.063967976602974,34.25600882025623,32.252229986427146,36.53992362744332,38.140421703956626,39.54108209686027,41.710165439558324,44.02249297688838,42.86511233174619,43.41221776068716,47.741042356215424,47.576451674776855,48.845473749462855,47.96599642793486,43.11512567113421,44.10862044298596,46.649072450029124,43.45426464950264,40.32980142264813,43.50527456509346,45.245409616264425,39.859017217979115,38.7899658263895,35.82177229702691,36.35916690927198,36.05567227481397,32.970397191524924,28.126511157766167,24.923172059376974,21.264243837077593,17.834164292959812,16.720269614726714,17.06818215190519,19.47068409877773,23.82412364967352,24.102281230822804,29.67781592381336,31.00460479994977,33.341178084606355,34.210183434275166,36.89665161199293,36.500674497980796,38.096991000862616,37.3317458825227,39.25012412959767,36.64451665358396,33.46741695914197,33.02349082314846,33.03334742885315,30.440547353735823,31.626300032402497,27.770843917222436,28.615969109097158,25.107389934044996,23.914661439565517,20.171421944638386,18.524372187702514,15.2841629392707,20.90329245906336,20.803108714655288,24.757598306011293,26.15311567500731,29.23957903640925,30.115668497280843,31.952712488858907,36.42145107797189,33.88673589953104,38.057202764005226,39.00233821665911,36.37628709454323,34.139576078770205,30.403783085875347,27.985607181395743,23.392027142069242,23.528204045004475,19.479119532202194,20.424042520968232,20.4414609010353,22.05194353116864,22.1842519360561,19.165234219830623,16.771122071250616,15.307788422424432,17.272045440699724,17.977056064584453,18.630667765374543,23.80274711453535,26.26163928852397,28.62503702947998,32.146263758938595,34.737454210485154,37.08626539839442,40.846642537151155,40.78935950912759,39.5621188048359,36.688998561575445,32.16697013220759,33.50496473038861,29.77152662691994,27.152806141677793,27.199313998510753,27.37978456084914,29.87586428211962,26.774082404121128,26.22058384463925,28.569677809704416,25.847533910776015,24.4581682697136,23.473456930877923,25.170835802396674,22.38880073837795,25.846870201451594,23.18506372371675,27.720933089138807,26.447692444639507,24.66393836373967,25.508684897584818,23.24732359502614,26.739334248323694,25.20656512665905,28.98322667248574,29.372614921081937,28.620267447706993,29.12220716204607,32.328053051694525,35.42902224815407,34.71609307319382,38.3947520647529,40.93679770037494,39.99792332266537,35.88737442185008,35.868557843652354,32.44601148434201,34.314015717136115,34.00212393370222,33.18328579051452,33.78962176167246,30.010330820450985,35.37662864904914,35.722678969701576,37.95763797009232,37.61602586920326,35.838530146346564,40.9437168528908,43.52535396269667,40.529969649737005,41.015481651946544,38.2226373065377,42.25335373880706,42.23047241268383,44.541101888337295,46.3907875692951,44.34426465014465,44.85040142151345,43.447500034716285,44.459300229820876,45.970518606932266,41.96755741075185,43.467778838049526,42.1359929086465,39.360352425665425,43.11252248854773,40.331673226173145,36.93173796067378,39.95923742139906,41.89344181841503,37.287021773610924,36.44407975923329,40.628194045060184,40.57143089876924,35.64650795033945,37.96545643005875,40.36746095198767,36.38216277393067,35.09303452377379,39.79536572646497,40.237449453208484,44.37129722507482,45.978241678232045,45.19211180737366,47.8136445276158,52.20438750189571,54.21412507515388,56.924142814514596,56.99616335817711,54.54139663437381,55.63429382694166,51.98785088259969,56.35782259738176,56.71667965761788,50.67902847269843,52.29437462980631,56.65297217914218,53.50172685317353,50.35784998584975,52.77649639657466,54.39400011763032,50.560605604664346,47.70681417854279,45.444425940006994,45.09579738548355,48.09880633626908,47.498116773807304,47.58323307194106,49.651633553246185,45.45670890832589,43.716410376139365,46.03888362114574,44.18171097666731,39.90105263025842,41.15550417368497,42.06873589450141,39.302090833804534,38.4948586287503,43.46465909128643,42.672966209275835,38.59996210851142,42.13031766267837,45.92582593335695,45.936213314204736,48.09209950365175,46.58984371610111,50.84517112016443,50.501076549616656,45.36342201802983,48.45732007398196,51.11716263115701,48.50347682173004,46.639270808352485,52.587672504674444,52.70239388268628,47.5241217080382,48.93077670130097,54.271547133618334,52.85610191295673,49.173444931980924,44.81462518460619,49.23832144155276,45.57389543354588,46.122737366906364,40.74767610398388,39.657928535249475,35.029897324562825,35.68398342864005,36.95888392209106,40.16266664801538,39.68270940579854,40.38844124385295,35.21224920200962,36.68011578187556,31.500435686877978,31.626736559208094,32.84322857194785,34.16712053556024,30.902991693996384,28.916442866356263,31.257274161410088,29.351892865201417,25.04842283963088,26.779245190755656,27.747548681816603,25.83595011378195,23.857940837541445,22.956071944426444,22.837786875002415],[33.12867646250331,32.343928095932114,32.63790140900083,27.649733066347135,28.91781772408418,25.859275926183926,23.7455858982877,25.05610944964117,20.496770371060137,17.933546675705045,16.785768190797736,20.613752959020335,20.199097130755757,15.316526558952045,17.34848300448048,20.599899169158817,19.63441856235272,20.724984422783436,21.096248255749803,25.515369396138066,27.069522120169786,31.67427790145408,31.142984836690164,31.113326075042686,30.05551000211338,25.64332443760675,26.253260873899663,23.329824287851924,23.544776148298673,24.70318405602898,22.87258632267544,26.373390384050143,27.963731744458027,29.823173070384833,29.51440750662774,27.403441368307448,29.635510775952888,29.38503018649726,30.490037904356043,36.885420609796455,33.392059119361754,31.237253540790142,35.561059421041925,37.11983326881698,37.96222596044461,39.97863198578993,42.18993610956814,41.515374547897146,42.20994250849105,46.46121454272098,46.55679475307809,48.171959462745896,47.391244057649956,42.40347011942613,43.96997065117086,46.180389731753266,42.58098659141518,39.907844529563754,43.204394085820496,44.35663979674768,38.81160857450267,37.908671130137634,35.366971582936195,35.102448420026285,34.67523079800056,32.13019601226237,26.782396060904752,24.322294423883392,19.887971151419897,17.40206472870964,15.385233495006306,15.153900290904271,18.587782767492676,22.403140244929137,23.82650456044864,29.348456771588257,30.766367092699873,33.67317030643279,34.52852680164516,36.948841255059556,37.156885053315854,38.48713274838874,38.45279035238683,40.06950500210976,37.04665206535812,34.162740696687855,33.22745079531864,34.04546276169355,30.74423590878822,32.60402747828083,28.44234212389607,29.149803282335213,26.17340821411852,25.750112413622027,22.28507914899392,21.05003068822386,18.114649331257443,23.968934517684865,24.319832313876063,28.884410441201762,29.28182584136042,32.65285898412519,32.697807253856794,34.74878016853747,38.62079850282959,36.21579766689911,40.558982450211296,41.11461228083798,38.63265477560779,36.76971738264684,32.983553029046305,30.079613090640706,25.753921162662046,24.92118994458229,20.692551850080307,20.618142612255134,20.148968599874284,20.635882367114647,20.264388568263385,18.3583872951928,15.714878607987059,15.30404063654135,16.69051788967243,18.460723837348198,20.16628942441477,24.91762020560207,28.428569509479072,30.263159352522244,33.891885980576056,36.412015853646096,38.427331133825,42.37280815681357,41.759931643352694,40.91384157124155,37.49549471550927,32.98638078610128,34.13438967237814,29.928787687382894,26.76166914395276,26.77134956891572,25.78878899061708,27.984409915500134,25.27776799258264,25.40766284233294,27.998839068328287,25.99146311116856,24.80065147306118,24.791316192242355,27.084734934082416,25.0542560761341,29.00795984024652,27.07305136458438,31.85268520441909,31.246105060777612,29.252661517641837,29.519228558065365,26.73616495563242,29.966560611369236,27.778735502722757,31.286968278978655,30.685797870540817,29.47706624886174,29.21063514831081,32.396682081079945,35.11929249369582,33.93172992690245,38.04513334368367,40.133107033471795,39.56387915979205,35.38486808607248,35.83534901383207,32.43479147232935,34.632277871559204,34.75498255215366,34.22484558414295,35.42948908125707,31.716600538509265,37.166432817808726,36.83619366452138,39.3261002124053,38.353323004084366,37.31566945882237,41.98139668427759,44.202251646027364,40.953878316776986,41.026530575809375,37.9449756374479,41.6692731295942,41.174653429835416,43.91319929179663,45.75981973264828,44.14265907237391,44.80329543448348,43.70277233124544,45.03809699408381,46.73834366039072,42.858477746664974,44.82830544806887,43.75168883334094,41.399359047888574,45.43762921877484,43.07479737528953,39.44581688627163,42.29346702282042,44.695009980979755,40.28152294886516,38.82742145418463,43.31215385228249,43.8851779578134,38.74498826349448,40.83793878638377,43.590664724755015,39.88968760893743,38.143184430327715,42.77261737667277,42.86060049791337,47.41330454041423,48.21138642977357,47.72319512593158,50.667902287291035,54.90685314528877,57.2976133293645,59.71226529305309,60.00840615779467,57.40822399962051,58.52547036013644,54.84479049636738,58.97089076711225,59.251559321323754,53.05227602517827,54.60690732029829,58.71577940658349,55.41992227161352,52.204028156846135,54.37931040298954,55.80527558040736,52.02959294753684,48.92591904629485,47.19297077294864,47.055837519315446,50.30881330249813,50.15755017244257,50.4843893260699,52.949456367999055,48.73161919117787,46.721308533976064,49.477841913003886,47.89520109105908,43.389985997709736,44.5905717283608,45.95382499329743,43.342423685299124,42.21944738419199,47.27511411991455,46.803658971833286,42.68541180852639,45.89730357474166,49.76704607068943,49.46067086372066,51.60195486287776,49.92668112874976,54.03563163977869,53.70505154909317,48.34649759059228,51.2542627270826,53.81061506207395,51.13144848597729,48.95241513573038,54.85760168294066,54.87050127627995,49.494898439109875,50.69302870371581,56.0272940133917,54.51658614516041,50.6832577198767,46.338800375641696,50.47447292810183,46.72817286229927,47.82205054655525,42.4099106440459,41.72128239088317,37.321392298125595,37.334988502375765,38.438987522516065,41.31461090816475,40.85314206038751,42.09106085083495,36.96592262464401,38.50370704736951,33.363618778786375,34.16644833948282,35.87813843997317,37.6354297326012,34.55179033659088,32.05816419688323,34.73154644174082,33.3589444892589,28.637036455292254,30.263296447623233,31.934864704595338,30.311066060508356,28.542953255864486,27.634592904332894,27.79768029610399],[29.68468283198842,29.557230001522257,30.836159905151003,26.08983657393646,28.625995496962428,24.831709391967923,23.715195269034684,25.06510146975821,20.379625847285165,19.300066377419217,18.307792477756944,21.72990195101302,22.704349732225147,18.148610840942602,20.735270765453297,24.075022047056056,23.743055113501278,25.67601382213737,26.840379842793517,31.000533560278758,33.000623971969574,37.57863636856187,37.30765984914979,37.251339400912265,35.89481132842486,31.420626544794366,31.520204364120683,28.169123099027875,28.14498612967106,28.57472068924918,27.151198340179533,29.754301963422265,31.26680280020966,33.85466258898203,33.64692997792175,32.02007400338582,33.61743403656986,34.138061390598665,35.199589623518534,41.67128115220352,38.409277823117066,36.68881120561234,41.07783567915951,42.4649819110242,43.55039130718478,45.450114844956786,47.85584654854878,47.078545786391686,47.42092590129634,51.77035471260433,51.95324023299946,53.35726594981426,52.64481037497531,47.65884142658696,49.010337557104414,51.53980567061347,48.16104810579428,45.262707583751904,48.573614078421734,50.05678435960304,44.60201762458047,43.70012274598034,40.92839379037986,41.08739796367325,40.675500989155275,37.830583472749254,32.75044243711723,29.894526786080906,25.82180033717891,22.833030715991235,21.26013704549734,21.207091450920956,24.231193006933392,28.37716331666439,29.229127098367822,34.76536023781954,36.18791985752368,38.730040944540185,39.58477859433128,42.137020120822484,41.839191550541,43.19188061116008,42.51785370134622,44.1655640233338,41.316489881816324,38.44043680243363,38.068920406381565,38.40134664873273,35.718995115596606,37.178149631711435,33.24272286748931,33.98763739495618,30.608566667581357,29.561594131071132,25.858744231962447,24.177892561928566,20.97373147579196,26.528552836980587,26.206409811525035,29.846611462681256,31.540618153242914,34.201906334688736,35.27242196956717,36.64078718809772,40.97084150553158,37.9957718603965,41.99308202840688,42.583330244517676,39.58166800325628,37.738428323661836,33.64618729499875,31.62826307489805,27.00192908400476,27.02204457091799,23.45715741052366,23.85945327601996,24.32886696729356,25.17927238755968,25.803841646355163,23.496341020084028,20.650480712458783,19.302062961550327,20.122541571048355,20.93793143242819,21.55230589020377,26.549996656335114,28.79032768557495,31.602617954448096,35.123616758744745,38.23979691625968,39.93060656419895,43.9723299824218,43.96247085487468,43.250692408421436,39.904360767512784,35.345567530940755,35.884263577914815,32.30593715206067,29.458717424281932,30.144427401188526,29.78728785164376,32.68061065161251,30.13172780092797,29.69675352226877,32.5328349914345,30.198635352286537,28.52843447563267,27.901141108427446,29.486403161701354,26.62433815441833,29.931245882477253,27.340699589482448,31.994713748419695,30.37168602744391,29.192788408608582,30.29748517663773,28.139047853856727,31.38409532726112,30.148706266202524,33.41475057429876,33.5121654801973,33.15797192463238,32.930757632208206,36.49041718764651,39.03247099358669,37.618736944655,41.42177090604229,43.5564158383113,42.3967590513438,38.271720387187735,38.61448578679496,35.489841450806075,37.982339383517754,38.08891424916903,37.669774223738834,38.527335603627655,34.99950351389481,40.483792212336354,40.55647474103499,42.696846260641884,41.909261238174366,40.03212416934323,44.95391517444451,47.40452625496839,44.31259776997227,45.085207347504,42.39543852652012,46.304180852536376,45.81140083005561,48.132244899829544,49.72440685137361,47.825386617570004,48.00798072529391,46.49717923693211,47.45308078916632,48.69269210308799,44.4567000627545,46.046404125796634,44.357674788661264,41.95367453255565,45.464519651996035,42.949889958099064,39.3875060054013,41.8300169379928,43.89300653777063,39.27399166812165,37.74707658557524,41.943334257947384,42.231790196376316,36.835160726091466,38.73064568849357,41.191998897423275,37.299276086241,35.421151144456545,39.891251158656985,40.421854683701206,44.73031878308737,46.182338487354194,45.91867337802094,48.6164544264098,53.20560378773205,55.24974419962061,58.19354382828407,58.690520967333676,56.47274994206533,57.92694890171071,54.56609945133829,58.95396037901679,58.89300062803691,52.836620251211954,54.84447522351512,58.95135232775949,55.47942607020666,52.57106518395924,55.181284682040044,56.26702942788432,52.243497446294526,49.88402974397522,47.503163505877204,47.87658896523996,50.9193487142298,50.201371801841645,50.70731429181642,52.76385228772788,48.84987208141252,46.724479360817824,48.800771678649426,47.28322462235853,42.933931335432334,43.638322331414656,44.560932642683674,41.76451909607291,40.527509049951775,45.4309588713431,44.59909828976654,40.21001947823398,43.48167261058666,47.36805580797802,47.370847798088214,49.91261690256959,48.74451281105721,52.95118037580771,52.09969990720464,46.939031735429836,50.38584727787146,52.64159300442573,49.76447450117138,48.185627289679,54.16661646711607,53.7380662760824,48.50123974322619,50.297904494155915,55.42532261261756,53.554503171658126,49.81786812146096,45.274707667189396,49.33012462322813,45.337477455618654,45.958787915303716,40.601524900916004,40.10667959777341,35.48846715936485,35.575247508168644,37.243974853264305,40.38415932587887,40.41538358138776,41.579639910674885,36.801390008724276,38.85588386263655,33.79531062685719,33.65363701936799,35.59184194923651,36.79100883892018,34.020176144612144,31.46117841551765,33.23052016329449,31.679553879499196,27.61116962437623,28.247155541296216,29.284847954060577,28.06251483666922,26.54490999239054,26.29761406257172,26.340872973832674],[29.245451114771704,28.7390387580252,29.827407607776713,24.51715242222646,27.166385900402933,24.644488343563467,23.763788346216387,26.153569650387816,21.920638736095242,20.499788512301237,20.540618082165327,24.51688476312398,24.281967632810428,19.578379207029574,23.052919224737046,26.099513211652138,24.603814044441165,26.6356845499684,26.91487894091089,31.231105500097875,32.95173837953609,37.40353314345479,36.77623541510265,36.10076946346644,34.91643554001537,30.530356758046413,30.83816248596675,27.78272440803713,28.730466653766154,29.864966359336762,29.419104511982752,32.073857876009264,34.25362615111349,36.6013382503547,35.7645514745125,33.48806155643151,35.02843808638705,34.550016183915126,35.02374386711518,41.38642171075244,37.46431921552612,36.30514269105234,40.798911995691995,41.743995044287495,42.406345953218505,43.882001135862666,46.45298591227766,46.183494137522324,46.146817544523635,50.48935201166107,51.206243552676995,52.783207632620304,52.38628251048554,47.23161463058949,49.19411901257256,51.74163792876939,48.125408512997595,45.654818570249766,49.263743884656705,50.333875767769605,44.88237690895793,44.56912859098527,42.24617944717692,42.03565611316747,41.07716410570191,38.48268765605986,33.40382685078812,31.050693931585055,26.607912176631864,24.42765799276515,22.421866617618207,22.656838816995123,26.2001282267697,29.74509199450233,31.14946948155445,36.90144803679921,37.78246608206759,40.894225483100584,41.292056602344495,43.32737232979902,43.10839990263025,43.83051155859977,43.46913015581569,44.52797056463374,41.22288738923111,38.946072646120676,38.68767406128138,39.79328086205834,37.02704480813131,39.42352034432837,35.51400240672036,36.70987888335329,33.61138341625594,32.84082168060013,28.91579317348137,27.91037063048507,24.393569770623735,29.80597935454198,29.300874798392428,33.19751373317335,34.18639521755492,36.42703143735589,37.02339517267588,37.932235793617686,41.60222880832429,38.309495022605326,42.249591473694835,42.227571217814244,39.09558315008444,37.8780350292569,33.54650576000963,31.46595653590137,27.12202166748622,26.389343117234127,23.296055976841735,22.733003161234944,23.539860452082813,23.336151373684835,24.66356491195969,23.383447810778666,20.066666799052573,19.017940934670936,18.432981266180292,19.664542732338504,20.7924432704345,25.187461196186653,27.992557638481145,30.61324747054083,34.14334057303073,37.55246767373062,38.49271176856633,42.81648705005962,42.4803898883237,42.444058587583356,38.41613937030473,33.91314752879952,33.730032530627824,30.0823514015839,26.88751794828745,28.088530037705496,26.958892597592616,30.153944034483416,28.34318385886214,28.109572948927497,31.478331762880913,29.83763268613193,27.92549929970346,28.100446807608975,29.84907433811731,27.498492269087446,31.03999194613786,29.295368878265794,34.318612065055234,33.4280843835619,32.474476708369394,33.010383969321175,30.378159143495605,33.05968296784594,31.639620511308458,34.084588675339056,33.26402014945165,33.16542686043851,31.825000505098316,35.70705530340731,37.45129972134537,35.22495978347541,39.21407176550828,40.79937565834778,39.60994474951747,35.51076289373458,36.33840639467703,33.537187154225336,36.70300630870548,37.427411180768004,37.60163172667811,39.054980996002485,35.95451183382044,41.5977392459457,40.93786163646589,43.035504656005635,41.4151814604676,39.82469601486273,44.25274662509328,46.36161340897584,43.094573306501516,44.026966875042916,41.44197085811103,45.089904264637646,43.956579605788384,46.323642405607046,47.61900336282346,46.0232309803632,45.95067177704106,44.49787482238008,45.56474613873082,46.69425115980181,42.41634796553628,44.370262555472294,42.675003599406644,40.86063601443546,44.44976802035935,42.501356763237666,38.67005124649962,40.62167963946502,43.18757978292228,38.81940062086683,36.403610280514606,40.865649246797624,41.982492434580955,36.25175298473553,37.74512980476169,40.61503223343111,37.160403415224174,34.62000275363384,38.90495196717143,39.0069246309321,43.803129811463386,44.27246857506361,44.457440396800706,47.51518189229672,51.952513165564724,54.43475336297524,57.08810935316602,57.97976414612698,55.71092980935142,57.349602083363024,54.12031064892209,58.25109551295536,57.89237820772304,51.7067214035852,53.8564651728051,57.57593202301409,53.82795275060832,51.00154165586164,53.50555651225379,54.13620583774322,50.08840662227277,47.82140128102621,45.80844801480299,46.7754826629112,50.029751475385346,49.6577075837713,50.653828210145484,53.10541277302071,49.37183694325602,46.73092055521583,49.12033978413598,48.1286298484594,43.507255555186255,43.85241189736495,45.32489318642351,42.745630476659834,40.93659332073512,45.880044191647066,45.48423304534264,40.985176304351,43.7082347447136,47.68333585009625,47.262792928610494,49.889643271404964,48.65405475357082,52.64238914345399,51.61383936620346,46.23180057594583,49.58900594320655,51.55592749658918,48.53610289301825,46.75471202432416,52.66356651847374,51.9326911289823,46.521233755751126,48.26249826175834,53.26410433345336,51.15478128417577,47.28610547845481,42.73125969371224,46.38798185847938,42.266769027986335,43.422856954958135,38.077406374734686,38.1363944858924,33.82312299146074,33.10946417158965,34.69200944773216,37.479130033255316,37.70440365366641,39.49732801715435,34.99956281273964,37.38161251306769,32.501335660371765,32.83135680799574,35.59554840018648,37.18423531844111,34.917860833662004,31.538263215444136,33.40681163354558,32.68606924642099,28.271773684512805,28.378403485839826,30.371276812472807,29.78066045124545,28.772361665104672,28.80243486538296,29.454726192623603],[26.624608524192244,26.810961273414524,28.803067346079125,23.985498666422554,27.61825634418314,24.25951564589068,24.176509240272157,26.278577619963244,22.03291492030763,21.819747502109436,21.72615705391564,25.158336962404782,26.130147021879303,21.81740544653748,25.29542155844025,28.417794053926308,27.66855179255146,30.177862656450078,31.248475891622107,35.3348183854103,37.4546740414004,41.92895421235887,41.61396064644398,41.1330397698753,39.66404368702262,35.21513116508115,35.09577644884099,31.676554475676184,32.147851941843356,32.588182172487215,32.15416754973948,34.181191935340806,36.13702260203155,39.02266932984472,38.4036505424369,36.63454305309599,37.74798436961035,38.08600489501611,38.704846263397194,45.12139840301259,41.595679934839936,40.56961406165171,45.06669702089173,46.02216194323246,47.002771050323865,48.53023356767173,51.18954468718205,50.670928356345286,50.492734962929,54.897326153040886,55.508614274913995,56.868155428720655,56.4298338410623,51.339843660200934,52.951866824866435,55.73501940461584,52.36058043228704,49.59722406739836,53.13138063796853,54.572544457803836,49.18694265146327,48.71359689692985,46.09650643060126,46.307532082978724,45.50516244266657,42.61001500918928,37.71911976360887,34.93495699256033,30.83332811591119,28.080654300693567,26.469119249936387,26.750740588284888,29.90378636599962,33.85560685325287,34.716011707370924,40.450049571356466,41.45334725265183,44.16782470838477,44.67043863442264,46.931599662982755,46.323017335325986,47.22900337577773,46.320624996795004,47.555964534679916,44.52707440986658,42.09611279677229,42.20694094656106,42.75231182814968,40.453724610888145,42.32903825827274,38.57998633528555,39.70972118739605,36.27194172283249,35.022749898301385,31.016268812970306,29.604087025537154,26.036866220187747,31.184696578826824,30.27342987748955,33.39337631235725,35.42379481385656,37.21364532291619,38.65131176727869,39.162936463172436,43.29453239950922,39.695619669734526,43.33695734006915,43.500586986738874,40.03980880750473,38.695956648419816,34.261450363267734,32.91913644858722,28.38186716123324,28.503577859437765,25.826255129518678,25.906513423265647,27.201434935099297,27.61885672761794,29.313148801071193,27.41569749432457,24.188030861403746,22.501108762414624,22.0806273525836,22.476564521981196,22.62172844159681,27.204247443864737,28.78138591598843,32.15156025952379,35.52296328744076,39.25436427730483,40.141796023483366,44.40375300464425,44.63472027298541,44.506519196700864,40.78166549178275,36.29251456399801,35.865166015653934,32.798197020549196,30.038796875322998,31.530945395593257,31.154975948567373,34.680585524393294,32.731792327511556,32.038054392503284,35.350626460587,33.276934871034875,31.14240618929357,30.645342527159578,31.817921800526655,28.792552750805935,31.716182437597627,29.340764796667816,34.079388440366785,32.300301364907995,31.951096233103318,33.19545041158169,31.167683853355342,33.92947131761535,33.26187447125781,35.70039505092233,35.650841412682574,36.08801678151144,35.13583356513519,39.13656591549839,40.98697108996427,38.890818702489284,42.531485158207644,44.317589371369195,42.69744213876536,38.69048176754757,39.26239124020534,36.60885032503583,39.73478043381344,40.25057562702199,40.32999005249413,41.350824473771546,38.2999938582385,43.87551821073575,43.70935938818988,45.54724947901761,44.31273333776543,42.0335164427253,46.749509401060116,49.114366384490864,46.0466237064529,47.44806657573012,45.13854648689256,48.98445708156549,48.068230509045094,50.086005539169534,51.27665254686496,49.37918775609576,49.020632914088665,47.24509304274485,47.97231541643276,48.76355062761316,44.26624837682146,45.78727055043792,43.62296866066368,41.62894710600313,44.72711363795379,42.534768840957675,38.87784046684325,40.595587650987284,42.722510718182036,38.18076613958574,35.95802828796186,40.047225029148635,40.71483516165013,34.918876415520295,36.31268355697312,38.80261176934803,35.12872106559498,32.64799583213883,36.782176722522316,37.372240105613734,41.79570118732441,43.06642687274861,43.326091765162644,46.0583902774167,50.7945126692926,52.863005077719265,56.010033818220975,56.963154616635784,55.036029245917,56.89204444360123,53.91324893884368,58.29020014845838,57.73468205574744,51.74541412615548,54.20773887436911,58.002196243429445,54.21406251393186,51.63813663130214,54.501936321225074,54.98062850978145,50.77332559168572,49.10457873564233,46.48418939102972,47.689307133616666,50.68648194149134,49.77334006666396,50.78165202339732,52.79060830839049,49.28959091174158,46.70613907791155,48.45009729828675,47.40152449886228,43.01858017316318,43.03879062209951,44.01236505260191,41.2663389573032,39.504972770747784,44.25593749410313,43.47344252558351,38.820020319514555,41.67408673458669,45.60706384874875,45.54243388017914,48.461422689647996,47.671392045529416,51.75731049141061,50.34955507249253,45.23182557890486,49.02624516744014,50.80142382931981,47.67791572404618,46.46497404650902,52.40341766184051,51.39380898599149,46.19138218700131,48.429300436861176,53.25306004958202,50.92733741918655,47.21130394209452,42.5381973307941,46.20656604581156,41.952651039997534,42.53560258361848,37.292099156528394,37.369689355514744,32.85112476458743,32.42141752108724,34.496107881682036,37.56972159576402,38.15425020782924,39.68045945549743,35.46662323851668,38.14180757953436,33.36645156243049,32.79640400606654,35.49294469076406,36.51189734115122,34.4298205703358,31.24942732208379,32.30643889079066,31.284433112012852,27.59177398413733,26.960596979960524,28.17957988291281,27.846144672103943,27.000763932830626,27.527396763182427,27.977957379428734],[25.545819908466747,25.2392492366223,26.905685605800628,21.62595337030541,25.28304350849471,23.249759867139748,23.40070800675017,26.41430159047935,22.735268914278727,22.25957001658845,23.08595966463815,26.900723431144044,26.820097841503003,22.569225139569976,26.754715590965755,29.545791248254744,27.868184130699664,30.55391766612591,31.047722521020514,35.089968013116135,37.082354944128184,41.36052678154614,40.865478213812224,39.868831168550024,38.42253235842568,34.119925163159614,34.00731460329276,30.819545662849656,32.0701406776431,33.00890816411241,33.557184270194995,35.46602117618664,38.03684285434613,40.771045596680686,39.550842929686745,37.277813629875645,38.20627875893535,37.763621978368455,37.83732782331833,44.07226229248635,40.081690216060316,39.67803036597185,44.21995910075955,44.723208999598775,45.410261612643644,46.5322150190614,49.367315071540695,49.23674219797977,48.63441777112987,53.01369010522846,54.10086019443364,55.54141422320972,55.409109028801765,50.21972701946931,52.305534760457846,55.1681465555123,51.67556769665001,49.260634019895534,53.04804281148341,54.20150987958254,48.89972245272378,49.001813305286994,46.75971198032014,46.80318154217821,45.46629360733069,42.70867266188893,38.000720579174036,35.56986220595145,31.341826739750083,29.205709113664035,27.397591069891902,28.090462056960114,31.472004691653567,34.922919939984965,36.04854817025113,41.978881081098926,42.384387175232696,45.539520169906716,45.56318009393633,47.33049594258464,46.673852111907415,46.97896481931029,46.252659748000355,46.93123870228663,43.55317248783788,41.702177456178006,42.02902545356986,43.191394699842355,40.97576835375915,43.656746834298076,40.02839799916786,41.65111891523766,38.413495696755675,37.31640389765257,33.082403603958454,32.300149335151566,28.43618124157531,33.34689933043822,32.229204237300856,35.5309535509298,36.89913917712203,38.227259831682616,39.253026658422435,39.276971976602994,42.76414719761664,38.877264547617045,42.39914124616096,41.9914681667271,38.43119431449826,37.69247761466229,33.097436774387894,31.766609859954606,27.588243733756848,27.089143292083897,25.011706540025457,24.320320061777544,26.021323514899088,25.645913275524716,28.116602350669346,27.002722232254992,23.488035543683896,21.940595699175848,20.282749702554952,20.8177542581808,21.259876798650293,25.11949404712301,27.070901083968877,30.237815146243406,33.54091736830068,37.5202538464982,37.68443527515015,42.154989168394096,42.13599224777351,42.631742770189994,38.351829565093986,33.98587232734897,32.85386096942061,29.87124890372929,26.94396479207999,28.955427963230196,28.1050303466717,31.949396148474126,30.68618677028425,30.034583311268683,33.755879145325096,32.26511467447319,29.89498418961709,30.030086585852047,31.242032730281135,28.70191515184359,31.74686185026016,30.21375082402273,35.22259641001389,34.22847029323631,34.05570225428577,34.71800307369621,32.28339964378492,34.46601094572784,33.6902564439239,35.30293843672385,34.47798360757863,35.24884997730186,33.341142338868714,37.60422485787862,38.69449179215768,35.90784745845553,39.58105352859626,40.88992263482306,39.16816872920964,35.256104998931576,36.2133384939303,33.93336887366227,37.63111396723461,38.684014754658044,39.31181151779723,40.81935232952148,38.23084845583336,43.88195103581893,43.089791035225964,44.81862505936784,42.86564565203948,40.77582569873944,45.008630094388245,47.06728726464066,43.90163877055651,45.538340369609095,43.42777475500016,47.03707212116195,45.59125003494949,47.52741124700739,48.40403493201194,46.73529694787212,46.08558686378825,44.32407405481814,45.096408630165094,45.73964340153906,41.22274832211437,43.03025827745418,40.85635000929134,39.42434017532153,42.55929232054641,40.91959245193135,37.05035266906703,38.292398831663164,40.88266717926952,36.63539816670265,33.59678133010561,37.91235158148804,39.38352799359043,33.352765433140675,34.364892595298514,37.256674879792016,34.07035035541715,30.996499909553886,34.93549215265639,35.04800898703303,39.93452777895768,40.19846697938125,40.84469966274457,43.922223871815696,48.456057329493376,50.96166326006316,53.76892791991197,55.06328923680789,53.06911390161892,55.06820298355004,52.215298475237795,56.32236708054107,55.50530132784333,49.42338790772263,51.99409930438037,55.41456426449591,51.397144789758265,48.908168767211365,51.665083532939995,51.73028011303196,47.52277592249744,45.96115939918178,43.67659905148591,45.423821662935715,48.587787781102136,48.003694180881475,49.46223507540418,51.83989149952871,48.529251742688565,45.47980975362726,47.5295645330078,46.989346279674486,42.378977275748454,42.07807672987905,43.60234657740452,41.10971833558519,38.82311755942751,43.582086052863296,43.27041486425525,38.59251235019237,40.87652865653395,44.860354773414365,44.35110577174029,47.287509008865484,46.39609808691428,50.24164247428919,48.71798890208775,43.407440461108166,47.056058365539315,48.571480329639925,45.347941064713396,43.91788206317458,49.753111568271834,48.500111756280155,43.15515890938562,45.30614054655298,50.00261508353525,47.49343078382308,43.66979177637209,39.018044298754866,42.3293837826071,37.99372250636658,39.08887903435863,33.86921104707565,34.438700716406785,30.264673207538625,29.078400768061925,31.023603291314913,33.74641936089976,34.49223487512876,36.57722821165937,32.666824681087796,35.621549153701515,31.09063388862352,30.961220452768956,34.39872258091428,35.79268645600004,34.21498525090305,30.30564035544403,31.480629320858785,31.29850500464453,27.305958258197972,26.23966672941416,28.44480298969368,28.683204014211988,28.32421814958091,29.043941166564274,30.080836617875317],[23.84070930233233,24.060045276068582,26.601019574530973,21.79822892191869,26.5014819107353,24.81748481868505,26.017149477298307,29.2820355800392,26.141457591447175,26.556742209326877,27.74392441174551,31.230656615744305,31.52744647077192,27.690312023318107,32.12259659982299,34.774213968406855,33.16923082046017,36.21436536426684,36.88677701199019,40.749271433130154,42.890219859765985,47.05534816674582,46.63163356128156,45.4557197640312,43.88952746980458,39.67226162850447,39.31218585765179,36.063135236421175,37.407476353113395,38.116398029491556,39.15709084522077,40.55322516683761,43.24771943247704,46.278108330780995,44.92220299799241,42.76047357167601,43.275641825520516,42.98632536516669,42.83766776786599,48.93468637996655,44.96967479780656,45.04677421925795,49.58355265845763,49.80636837764615,50.507507850505114,51.37341426641501,54.36013166819813,54.33500999099413,53.34653400386294,57.71864167017764,59.06139942886047,60.388011829850186,60.43746157234214,55.258214804911546,57.38745200617188,60.45328120701251,57.0699293098146,54.680873105351964,58.54770632845641,59.771657502330946,54.581990162034614,54.88854340859114,52.66183791651615,52.859614878945294,51.36101653434731,48.51273232871365,44.01032358735014,41.51551343376641,37.42354693815319,35.24598813404198,33.556929366184484,34.36785929166041,37.67128789469804,41.13796296338822,42.102597976088134,48.084795509308584,48.316138017368424,51.42056609762334,51.28497327341835,52.9410039994884,51.9876641093956,52.0710797496059,51.036677265121895,51.49069932109112,48.13498788008146,46.55793600986066,47.28799830449932,48.38841507795107,46.56222743982483,49.283326303641786,45.828968655598146,47.60930632989488,44.25317143376431,42.91774842858452,38.55832449858246,37.76848355589794,33.78760991752816,38.35383452648135,36.83302218739655,39.52857807938453,41.38697091714283,42.01974434718486,43.513452871637085,42.856938066320126,46.263304729555095,41.934513618725695,45.00071204719301,44.324611226610344,40.40474314063794,40.05527261598527,35.33685304045145,34.79926817268004,30.835272790902835,30.688411123572273,29.42454485998144,28.769059710217597,31.01460908232257,30.588357121266476,33.66467742554149,32.61648944554382,29.07094303434299,27.25086110965097,25.09523076694992,25.09065766308963,24.90189193166964,28.209504606204078,29.14413246511426,32.799858640731784,35.78009889112673,40.19446508454384,39.68366850614751,44.17976792563997,44.52831517852738,45.45005076637706,41.08784058179177,36.939366364261666,34.99218207201827,32.75163463502025,30.188145753249696,32.782194568813914,32.1841501937273,36.3973989012687,35.53971557738371,34.6119753087267,38.490916104723304,37.07742025776293,34.437573291849674,34.44455507830548,35.17433093784753,32.43252414621253,34.90203029875663,33.39208975198006,38.178428047856634,36.852013235178255,37.40170340362191,38.346467030181664,36.25111664923823,38.0883288263082,37.923258808957286,38.953093523629214,38.289686763971915,39.722962428953394,37.5170633635539,41.98205616545602,42.59053944677083,39.42418733804697,42.74767982075687,43.7988617274121,41.619175880677176,37.97259886443583,39.005406193543195,37.22897715739429,41.26023606702366,42.51427678601958,43.441527910795,44.89082066556319,42.68552767245644,48.260370271270084,47.47889761062786,48.89132806591446,46.78439427679845,44.24847104090972,48.313472108503795,50.33983589504487,47.32319483765279,49.530159084543136,47.81565289541705,51.36735844826757,49.71229126310471,51.279549896716574,51.79967985361971,50.07593428160011,48.927821362720024,46.89755204945304,47.35993610653628,47.50662540775803,42.82008801328524,44.388404326997936,41.71476115608855,40.64562148445012,43.1741009017433,41.803900922026244,38.030958521975435,38.49352333555758,40.93923412093938,36.864056262904946,33.32339085401957,37.26546529288709,38.943095622081564,32.73415566233881,33.1550639924027,35.874905454325706,32.98920618502152,29.424566800219896,32.78236165581389,33.07085429832459,37.8406453126214,38.0971357163714,39.30832393865033,42.25912394788625,46.92168690851009,49.2963312783772,52.38930399260919,54.12100369600111,52.52990515893856,54.92779908594808,52.54400639703006,56.63797540770865,55.327035862757214,49.477141622744185,52.50076427093549,55.59664370989058,51.34641365603213,49.28838729187033,52.32462286087977,51.78451426697244,47.44196164879048,46.73591736451621,44.11395532176588,46.63605313669581,49.61180840453615,48.71343811974901,50.580773418977834,52.741891825918835,49.91587656629346,46.567423438156275,48.095763221717604,47.95694788988114,43.50527266401239,42.526914621837406,43.91665586977813,41.497729738349946,38.826520715718395,43.24453608560494,42.88652653712288,38.071208563177144,39.908876455377225,43.81432932496611,43.34398788959131,46.64749245322216,46.25105029190376,49.92556559487805,47.80404960817476,42.73212205543995,46.74248490395502,47.71041390155902,44.28713419559612,43.40812291901762,49.07831352071458,47.198398308609804,42.06237446398755,44.74206183745937,48.98833368582407,46.00596865297658,42.326714124900825,37.62300099062113,40.434108910684024,35.87587862486342,36.752229978209954,31.84150215295513,33.04497197135267,29.112501727134244,27.45550017676727,29.903382999420874,32.513618895042875,33.93115189302546,36.241400005184126,33.132293054751734,36.6278096707848,32.59024420010042,31.829124973686685,35.75871337858269,36.78180724889523,35.89754328949398,31.715748090877025,31.977482423290475,32.19918914008337,28.952280518366685,26.645742179598592,28.683239753031266,29.74910161659141,29.995680614313997,31.376098965817665,32.5758157088708],[21.929395120259333,21.41440767449327,23.18076633002499,17.967889043643872,22.200767594141055,21.301228144030606,22.330392471714077,26.026510093369964,23.27078456085511,23.40437712792275,25.123622933424684,28.764199956224953,28.36056982724109,24.738728426403714,29.503304884957043,31.84995516445902,29.788570121237672,33.00097803604269,33.58239282561925,37.21675518309702,39.44310194005698,43.421734057593255,43.097532429830736,41.75238935890099,40.00680498310329,35.9074349105149,35.34084266529504,32.16114513757222,33.81748980693394,34.69238852649517,36.41638260815745,37.58829639889141,40.66568833786327,43.619785251716,41.86330714974618,39.484542562770635,39.78148869788613,39.16597079159426,38.73872818196593,44.67438139146921,40.636085755893596,41.09890834091268,45.606380024816715,45.58124486517854,46.27410827368607,46.983366406618345,50.074565507054075,50.09798517614279,48.87153130406481,53.22641634067347,54.72325008816513,56.00414440322145,56.18978432242746,51.023117723822494,53.27969276562314,56.43938041075369,53.10693348958531,50.83908655343772,54.81011588665748,55.993512495696265,50.93503221483571,51.58494821365561,49.527808449606766,49.8425941021191,48.00839476252249,45.120096931083665,40.941430710727346,38.53138166842994,34.613536093850314,32.70575627630196,31.115757588326332,32.39939940191616,35.55027824108421,38.72146568810273,39.56262394118735,45.64225286694994,45.371129071484454,48.64298495893465,48.147902582267015,49.4921319891436,48.40196476740653,48.14657242996895,47.140852014605834,47.30480067487198,43.83825362640111,42.56501634253525,43.49072431546067,44.849156372695845,43.22074860727515,46.3657180123314,43.10937493747458,45.295033129667665,42.041951118569216,40.720978297471405,36.225484441503426,35.91820811432929,31.763503225891426,36.01208372805943,34.365551312143644,37.20554289709133,38.51040015361537,38.89447151405724,40.054098144804264,39.177491092535476,42.18425222621518,37.80822021838621,40.86657109586969,39.94816877138513,36.09978254546159,35.99285358264369,31.275992165945908,30.594504578541443,26.883859379898624,26.38135069999326,25.472839825279788,24.50683661833109,27.000142484191667,26.37890320561264,29.956358607183283,29.138687201657994,25.571300342543868,23.706140462935636,20.985123617637267,20.88063099448623,20.793931587139223,23.66077555128161,24.921148904318052,28.30386169028257,31.268290590580346,35.67597705649073,34.96451299663198,39.5171132964493,39.693213648042594,40.802293813484326,36.257175963675245,32.17220381515803,30.068132333744405,27.82041555514784,25.263524761787835,28.02471825210546,27.475036496456724,31.84306946768476,31.208388313290854,30.158083644889462,34.136270301676056,32.94615665313446,30.198999327682632,30.46670070513832,31.191293161370332,28.7994519029347,31.373984337808224,30.45308979017258,35.38696203204046,34.774857264641085,35.231126288887026,35.66241723344781,33.27036404512563,34.73975121587045,34.44801637312318,35.02157709792263,33.95703695689204,35.556713000096806,32.972930163868455,37.50887006621433,37.81893982860222,34.490021714614194,37.7561997895225,38.730061871792955,36.522807078512145,32.90262175675203,33.998489205423624,32.3372207028763,36.51982682042093,37.96335598379685,39.12180745925668,40.78557480182508,38.8522717347875,44.40195940559657,43.31369336026648,44.65029258656874,42.246388146245344,39.82163106447498,43.65464465361005,45.55518294933081,42.52075758988678,44.82450818121606,43.24656482425267,46.71760326663568,44.94118887665451,46.39683326858453,46.818453661936736,45.13118303878357,43.90906468188316,41.8982876494015,42.40337330935694,42.58614186217161,37.9428359217535,39.672283163386396,37.15717668555547,36.24580617999802,38.99302239850664,37.83874748348714,33.940544530777785,34.43816356803695,37.19769881597797,33.26537115017628,29.491151012200934,33.71850995807635,35.79069309584331,29.594319481430066,30.079987497663446,33.14587592294426,30.472517543205964,26.83527832608278,30.379756857498545,30.219009353279624,35.331890333008516,34.95655221075699,36.03351470828522,39.254306035143216,43.690798464064954,46.40841820695928,49.10320127194293,50.77849534017898,48.93868286258283,51.21089480590933,48.693336855444095,52.626189714848024,51.40216775389042,45.418448133980625,48.29578247373328,51.33177210206199,47.08382115063223,44.89404189892939,47.772482569950846,47.29439960487867,43.012942745475605,42.034966377380385,39.67799176202219,42.17390239436073,45.28160997557023,44.681871075802846,46.63698563362531,49.09336003015855,46.21375775124163,42.717763935827435,44.64234105672526,44.665145129864804,40.03692334373568,39.14783021185454,40.96364708449304,38.71755411879658,35.89569174790982,40.44805454813897,40.46301469693957,35.77124170480305,37.41840842949876,41.36563294590358,40.56040176915669,43.64008598355157,42.91905195056516,46.50323697531408,44.641476831494735,39.35037140145635,43.062250523665426,44.1566194951899,40.80035112478235,39.51687422165849,45.19458635127609,43.52909502110222,38.221241068038815,40.58695701386451,44.99194459710838,42.18964458244879,38.38936831959171,33.72968312864008,36.68272670931313,32.232695578654045,33.4673160705684,28.38433088687627,29.465668412635495,25.637427732334128,23.817990846261026,25.90742136800265,28.413870649291315,29.567815810370845,32.0166378575067,28.74816606502135,32.16820166974587,28.145731266330912,27.85092257708103,32.00337459384293,33.39943109703811,32.6051091777732,28.109563431162705,28.816813779766203,29.460874433949165,25.77948588955126,23.7348980834893,26.55464430326919,27.632149281169237,27.983300934463596,29.218073690596434,30.795359284993445],[24.593861121950486,23.95372552952266,25.60246299254272,20.505089558625194,24.59354977188157,24.733502602419286,25.89105606552443,29.89219825967878,27.468089440904677,27.394112846884944,29.33258609682494,33.07688777190701,32.20953754800401,28.61169392392151,33.43433364228509,35.654934507536744,33.16323747320427,36.207350343960506,36.2530816147586,39.90185877168016,41.837240224712666,45.65502260588989,45.06972899978745,43.37902074359456,41.86471302169312,37.968945508944,37.6208578959539,34.779931639602104,36.89423245851362,38.13415609017491,40.100609372054265,41.40685000623469,44.65356811353824,47.403378250637154,45.45608764815315,42.801736217096796,43.153896463609115,41.9953145435636,41.263767949069894,46.97433459961989,42.598358810018226,43.35235065821471,47.803588694176035,47.52813882366578,47.89314532632714,48.29372475722787,51.41009639132324,51.803217399128314,50.37577585791336,54.62690577863854,56.46521646477404,57.86384454410268,58.24350002529162,53.05617123181403,55.67154296420902,58.75314672777935,55.29885333296488,53.34325424420429,57.41131053035399,58.29419646336702,53.29459290501014,54.222805545260364,52.44481794605092,52.47117337046542,50.42373029827377,47.785822044691464,43.61674607740565,41.56201877459405,37.50309803538649,36.02900251350581,34.233381716842715,35.44390784268135,38.81575679660208,41.66828992327971,42.85316637534763,48.89364977018003,48.48247363729459,51.99501671956744,51.35309207074708,52.440974064462935,51.48385116322405,50.915530268748974,50.15433584374978,49.98950802111491,46.31442897851641,45.41355895927294,46.318762465096825,48.08112878367367,46.3515661232089,49.87487350123165,46.611159712383945,48.8654107405869,45.79882691681447,44.678873765529694,40.21635421453942,40.0834978297343,35.948524693179124,40.20382289237285,38.608355514576154,41.56034058256478,42.53984887456343,42.80832082428532,43.68945781180235,42.64284717366818,45.20313036785459,40.76014784203269,43.67560915221342,42.363736168272034,38.52866417075896,38.871817406789745,34.186185029636334,33.53346724521403,30.19422534882079,29.2666827863461,28.68086593812354,27.20422845274529,29.698388873498825,28.426542567761928,32.16172628283437,31.9878654970153,28.395863822662005,26.87613211509133,23.637739694812925,23.808735161705837,24.041276537864192,26.222011351531172,27.710258285088422,30.77961799522705,33.566605746802935,38.02635569942107,36.72416728793188,41.336824397007106,41.283159540532004,42.89794885745865,37.98957516220266,34.138296681638955,31.471469204747088,29.377750609621998,26.73600060754836,29.782321872301146,28.640218816724918,32.99659460134372,32.974956230244686,32.148915712274594,36.2907711650914,35.60131096677862,32.859261162904,33.59922936728273,34.410811868203886,32.40730771307238,35.00425626980308,34.50864436587167,39.45170013780736,39.13383965464063,39.64333744285336,39.853933926060655,37.31275492745588,38.51931528471519,38.109206939745015,38.274277986297314,36.6966586786679,38.361043131435565,35.172499709720014,39.73569998203445,39.46217236667801,35.599112342322925,38.87115363278641,39.30872523520752,37.109071407941286,33.69117048415361,35.177885179440295,33.904169939634265,38.44119778278183,40.275285173705285,41.779052876296085,43.76182766825439,42.095103729884016,47.60313875410244,46.11566537226547,47.413533477144675,44.53523128923518,42.3807641811461,45.760401695825365,47.36004068634914,44.2808961185266,46.63814612840787,45.164370673348024,48.34990371362617,46.129589821454466,47.58746611680872,47.74924778403705,46.35627052133404,44.93471707015436,43.01104854474916,43.5682291865582,43.602983461428394,39.04392916099805,40.99795382108507,38.49258743772633,38.14125976792329,40.776243906466824,40.12051942071032,36.18235521372001,36.16593212591037,39.195741763700596,35.62564331326227,31.24583457328578,35.43239602795917,38.09399908724267,31.886665429415753,31.91595923899506,35.130462558446034,32.95653950839811,28.914685172742853,31.985405674943582,31.50994823986235,36.79751713327058,35.57890289320107,37.157157179998784,40.55063303299977,44.7719990264576,47.74766266752615,50.221160671857895,52.25768966788204,50.48525346761367,52.9175579887488,50.61623292383336,54.280054463938995,52.77623038254699,46.852771353081806,49.842462880322984,52.46334135599096,48.03704745291063,46.03291546508536,48.79940407410065,47.845990314465546,43.61372098165046,42.883278926737056,40.85900971930055,43.872037913758575,47.0393985393502,46.67495189030196,48.9812106081752,51.62816969643511,48.97586581159096,45.195718024643575,47.22096128855093,47.62244446472212,42.96359648140782,41.79162979743163,43.88741142358418,41.84513050438868,38.710895353576596,43.092591967416986,43.3708714109311,38.73407862869475,39.89976109914304,43.7724812160999,42.708060782829335,45.831324036865084,45.16318676329074,48.476819209512286,46.42526396292156,41.15422661435523,44.75566777441622,45.49835809279164,42.074276921677644,40.76416331776292,46.20410045652788,44.193253586754345,38.91069309790546,41.26776816113888,45.36516613160367,42.29972967967228,38.49908355188918,33.95378993113489,36.28761031283669,31.75723338108557,33.46344911015101,28.670982721131917,30.42120905655277,27.14221205956901,24.522784785602642,26.52760016214175,28.501938536047827,29.97735640605115,32.986229966748525,30.277333408811366,33.895858266036754,30.292219614615007,30.29659176141774,34.87747883497144,36.425526791932704,36.02378522265679,31.226361315682002,31.85510134322136,33.00377138040731,29.392899973361068,27.040335949174914,30.20094019349663,31.61974372358146,32.209064920385124,33.523461277754286,35.23976550589785],[21.88492137762921,21.162688352176,22.886013812708214,18.190551100299846,22.584072936703993,23.278012489362755,25.007281792054304,29.177713086815693,27.354375405517295,27.780762944076752,30.09606877205645,33.572639342748474,32.749948601136055,29.63835060858552,34.65601514086487,36.61997971719913,34.14468306264767,37.537883889611656,37.889962533096266,41.204789294259335,43.40041801774727,47.04040450219614,46.69749046191611,44.94921119170376,43.148102418626024,39.3662940915264,38.61682769720281,35.69112073338274,37.81928618541832,38.820906422317584,41.400164088831495,42.14654277065954,45.597420317986455,48.56227120970227,46.37528462621797,43.81779691836693,43.711709818822015,42.706699030035416,41.77582983373947,47.279185074313894,43.09058359057706,44.31868700186217,48.7090708495973,48.17207121400191,48.68066883349447,48.910211949999905,52.16335653550034,52.50286978423107,50.722877280497194,54.94941283830851,56.92238150887701,58.13990958084054,58.662234566148115,53.55604524337579,56.100003772473194,59.40932816176546,56.157550277847115,54.17808560419926,58.29622987454842,59.33442703843661,54.52082586165497,55.68968655916487,53.92008144876179,54.25997816663612,51.99910337181797,49.18352353511069,45.40412649341975,43.21986746393704,39.47386293144245,37.949576153784626,36.404846497112196,37.970715429935275,41.070386084293105,43.88366895541705,44.71844506778149,50.82223372803202,50.04529672124409,53.489331432123976,52.57796467365888,53.48864940496439,52.17644679358157,51.36355024956766,50.29763322839427,49.908238667645854,46.31578665820052,45.680248442750944,47.00664428041266,48.69367593967254,47.43503279087394,51.0506046020229,48.065170226147856,50.62638506703611,47.481662073107834,46.13241704234834,41.54012285577639,41.60910007232007,37.34389753629362,41.12786864431922,39.193379425508375,41.72870763782381,42.814221757009506,42.47144430570062,43.569019605168414,41.96112476293887,44.31404999972039,39.60875392067852,42.15463938601678,40.62411181576492,36.62331527735189,37.286968989253545,32.62204304772312,32.50519781207932,29.486975380462464,28.781575824364857,28.919309499559393,27.539751974206638,30.47627649369864,29.370355196360993,33.65433666052691,33.379514748838325,29.86595324046464,28.04634878980911,24.51659344682335,24.135696428655137,23.850222152797286,25.440381713065122,26.189754090818653,29.43511676328637,31.911563461507512,36.58147780233246,34.82023557141868,39.37346879655352,39.59036394709174,41.470145580259214,36.60512671878135,32.9947148679362,29.8148644229593,28.374289742648944,26.19135624363329,29.586957390936224,28.96915064362829,33.57552205307914,33.74603835220657,32.56069957574311,36.70052570528735,36.01936735572758,33.08404004704324,33.683498849377,34.080873312171036,32.070752250226654,34.22763986323328,33.990984510518054,38.74213162843451,38.553131735953755,39.473072711715695,39.63439760365478,37.254711402136365,38.05425114847305,38.05746658173437,37.65240953686966,36.16699906753936,38.37838365049458,35.03909027962617,39.68454652039136,39.07443337782606,35.1015299331998,37.95586867175232,38.329267455426745,35.756116271543235,32.596463713214746,33.998575784345356,33.11564907036291,37.76942380690384,39.69647617649094,41.42084798690388,43.337488032391484,42.060724672030716,47.4236187024745,45.92527373388404,46.92415589249322,43.96233684009112,41.46413715317025,44.66503586204353,46.24438036934709,43.34249147437268,46.16790588088315,45.0836041133294,48.238716128748095,45.99323670561938,47.047254937785894,46.951403542333246,45.43595675987068,43.64676464140968,41.50599274491272,41.79901308694833,41.489925880416756,36.863998058944915,38.61195733549344,35.83411920272553,35.73080848588543,37.99845039851391,37.57862062877596,33.72939360785781,33.23722325040859,36.23636187033246,32.88681519464547,28.191120562585983,32.18339240655313,35.094922591807055,28.90807395026316,28.60189677204502,31.825530556654957,29.991558653266864,25.70632708110811,28.456026535711473,27.855674798816466,33.17074523751318,31.68726093252329,33.488941381391285,36.88884961601353,41.05922620615438,44.07822794295393,46.531146405470665,48.75554941036824,47.126111970727145,49.71822262301397,47.65733545851683,51.24446157322589,49.504168124581064,43.71687021019921,46.90720972421919,49.32824561706475,44.809006352081994,43.03436280578145,45.93135405518989,44.68050555689413,40.40418714749196,40.14094200627671,37.93601804764366,41.36908776750901,44.40685140424311,43.92398034343623,46.479572502774666,49.06488148695882,46.72173455759344,42.74805893558934,44.57450304530816,45.28306373470238,40.7134218647518,39.17463742165419,41.347622439031355,39.46437376626515,36.0763743714235,40.2469792327364,40.679902185368775,36.10513487288102,36.88270916401491,40.676894965358045,39.48372442148359,42.67843984476367,42.16544729493913,45.31297432258323,43.04801231356798,37.876555000307505,41.53706844827314,42.01672191382646,38.53724247063569,37.41470481980403,42.72801235204615,40.47424513908757,35.29052082447757,37.84314158065135,41.72850395405378,38.499874247162936,34.76493018367487,30.22478192740795,32.38147881652051,27.798321836623817,29.446190605305652,24.777110943942066,26.803251212977795,23.78136818898448,20.853760252623808,23.002926790575657,24.88364985533301,26.659412889590598,29.752876998156225,27.544313635055993,31.41427496441349,28.226138619123667,27.948155945618304,32.81478241888517,34.24229075216644,34.3372141912252,29.357734826039305,29.576170258558932,31.15824777567439,27.934534365878534,25.00414651665691,28.35673539544125,30.245341962164826,31.23792046320781,32.85378555778448,34.81448733745157],[21.020809858987185,19.577432943067066,20.344422259277636,15.31425308334835,18.93442848371761,20.386938913238662,21.805756802166684,26.206518534879006,24.742244434407976,24.87150088237442,27.525080834656627,31.021673256103266,29.64242974769811,26.810382333565972,31.924429173878952,33.59635193176455,30.825219560109414,34.28526442107209,34.60667315355044,37.661925167698435,39.929700229237234,43.385297395952946,43.168986605153904,41.35288561249744,39.382679741234575,35.731421570141364,34.78526245784465,31.93989713216427,34.254874049918335,35.35690099141088,38.418774659743484,38.979919003392496,42.665841620966745,45.52680186876633,43.068398864045164,40.38882620493255,40.114364744148524,38.88801602903942,37.76563380841483,43.10289747158153,38.926005473327784,40.43024329162278,44.75686146644921,44.05276209220522,44.59658596208834,44.74309697551435,48.05740814759394,48.374924304356824,46.44552844422974,50.651083763763744,52.684120993183406,53.844870919536476,54.44516326307263,49.37823397510487,51.96808108329446,55.33377166498115,52.15519125779403,50.251117262561166,54.40990520459753,55.443367543434704,50.76230553765592,52.158870913747954,50.50963042266194,50.975495459158445,48.494457943888776,45.64572101588391,42.181464799270636,40.060006504925134,36.54679743671217,35.23176214534939,33.829118072115755,35.74654137795404,38.62566322325348,41.18494078298354,41.86647076858581,47.96174562255688,46.808324410043106,50.3226733032332,49.15194186055705,49.8311875800463,48.41886942221376,47.376464919144844,46.338467490948226,45.75310404815412,42.11091741712753,41.69154504726591,43.15407732060645,45.00311476340959,43.915018174108475,47.79345691788259,45.00059626943543,47.83919694467979,44.80602208686177,43.481221030884406,38.86561433653121,39.30060559839552,34.99978850272922,38.464389178319486,36.49008169955753,39.133002068948755,39.73376471599117,39.25557330161651,40.036162576698814,38.33007954580157,40.35221519889538,35.69322929245567,38.2709672459606,36.59206526021907,32.72106415428529,33.52990813374812,28.92918589253356,28.605515712976572,25.857654461262655,24.825502883913472,25.267086616698087,23.661913595244847,26.74566418789807,25.54613908742558,30.171196459133952,30.039462151739716,26.623802131925686,24.80493734339976,20.9260237317218,20.43433303980125,20.252846406487006,21.350203345299324,22.465924785156112,25.353470573430755,27.82431220054068,32.40880970103822,30.57603967008772,35.166749266902684,35.1998749758029,37.158776872262614,32.1779127718594,28.61096761530193,25.388322739113608,23.891600916215804,21.73967214580738,25.232389695181283,24.737789639289936,29.43228415480105,29.733130137009557,28.42801767316813,32.57429702403368,32.05816430574559,29.085145444742192,29.884261240285344,30.286444308528225,28.63025675651353,30.87520387750424,31.133656293237735,35.9356536929899,36.35017961618777,37.097742978300104,36.82692168199443,34.22665123352217,34.74098043339795,34.595847014696254,33.86337950329131,32.055293985527605,34.34825633723593,30.76915884983924,35.41703750626582,34.620965728814355,30.594274958664737,33.401756213885974,33.786936311558804,31.216784230160155,28.037269461956715,29.45388768790432,28.621372384155276,33.339731605034615,35.38020056891764,37.24908899752872,39.315148133737154,38.241641632197954,43.53308346587808,41.81840114830867,42.77149397635425,39.623601433204215,37.25344052803993,40.283630599614625,41.77886397733644,38.85970469023658,41.71362944790738,40.72074412109087,43.824629228274205,41.552418141515226,42.5264492410329,42.40409175970575,40.88865300826596,39.1000008656897,36.992031945006346,37.35226499603189,37.152104825525,32.57201114850393,34.48724510500452,31.931144011094574,31.880287735499916,34.448844138960105,34.147229041057535,30.19224465819467,29.894758363859346,33.17676151482722,29.926869590183077,25.17628545343419,29.483569655592273,32.641116625133556,26.57539396951661,26.48282809773832,29.997973687183848,28.27445561477408,24.140947713737106,27.174447033537867,26.16921692259012,31.728456986134635,29.78994846102811,31.2699813255712,34.89682921251299,38.8394801908768,42.13961911181647,44.205716339183454,46.24023468429441,44.31301902160625,46.69692554995175,44.41688220321471,47.88860388623041,46.346941384127064,40.39764631570197,43.362765026878044,45.833337584026374,41.37762633586898,39.38433979697179,42.1047368786077,41.07167145869805,36.86222796817523,36.16840429160247,34.231933093207346,37.46814525968842,40.64582228112269,40.46049330815719,42.98740745770966,45.837090624884056,43.35993763786073,39.346679418971334,41.58658273280102,42.32967569484186,37.61851322926544,36.30042677156995,38.823481124392295,37.07548531482073,33.68590987522763,38.00567371867702,38.73168481387467,34.332362089243986,35.06911792962168,38.883779262796025,37.436662468677795,40.34010922817422,39.45174716345718,42.56498042492005,40.67062164589826,35.286002807695766,38.6048992880838,39.338337229574165,35.980333586788014,34.385449799841744,39.75215900522465,37.865165786389106,32.48825851414488,34.63754718458952,38.797114609835226,35.870202068753024,31.99201964089631,27.49874806658625,29.978150975766557,25.582951059131855,27.567301591412825,22.657571869481774,24.332455782991648,21.35946592731615,18.456884915410598,20.09224178219277,21.927997967140872,23.259247814040346,26.408254481656687,23.86715302883629,27.559196044353072,24.320224150811047,24.57878112017095,29.509945335140046,31.302911550866874,31.360633439831794,26.229154095771,26.982793967578424,28.822440737832416,25.1957358706682,22.7544973022843,26.697156807800603,28.40682094827181,29.36964507584098,30.750540911301705,32.94271336424652],[22.551306921217137,21.25867345421505,22.040331543128755,16.57375714032638,19.94735962344621,20.481453443257873,21.267233545955104,25.44822882761262,23.28350361219932,22.940866760055183,25.217186480716382,28.987797604071947,27.64032471359371,24.29787866722306,29.275663261322833,31.229062303222772,28.515426098997633,31.721287989183796,31.902349354836755,35.293311744377085,37.41812762731934,41.11110967627085,40.74425608841576,39.07565070129022,37.291393702342575,33.43988120878733,32.804509958890364,29.91466692899879,32.11109694461947,33.35751165304284,35.803416189277186,36.8629020409539,40.33990637573752,43.06102561820401,40.858749420553984,38.14119924361521,38.28976585208294,37.05616529263958,36.209328436315495,41.84706064675681,37.56716424604838,38.529751453227384,42.95735779679869,42.57868746363461,43.085590114250316,43.49906903784898,46.68603284754479,46.940623217295816,45.411864903032104,49.690319068513446,51.49124113976809,52.79667548732163,53.200054625368466,48.046618850108906,50.601731015962876,53.784532941990356,50.43788754394921,48.454008761519546,52.55301293018744,53.532192778730945,48.639252177965545,49.738209111919495,47.99576106044784,48.25553222888624,46.01901289791495,43.24835287487453,39.400776919581695,37.28737702219323,33.50042020745582,32.111397535074765,30.5251223130164,32.18273798517035,35.25931913391083,37.94699074220795,38.85450665719724,44.9392567114462,44.14357573610397,47.67555067453561,46.78582470692205,47.70336566795208,46.5845896148354,45.86147741187233,45.045574317904794,44.77288310124407,41.09758436517028,40.30496741669836,41.37033035441335,43.18933581538485,41.67436103205977,45.38876105184252,42.326997933929505,44.887963551707344,41.867183966464225,40.69824550526245,36.166503715057054,36.393282858140054,32.17690536262317,36.092529015877396,34.4175125994572,37.45541694838753,38.02065961392814,38.16712557644797,38.8064121905322,37.69789748200141,40.05921479220782,35.67391112103396,38.672975938759606,37.334193440295174,33.62362478972001,33.96759417297735,29.327607031570228,28.43924183609433,25.23222067647586,24.078885210678365,23.67483173913414,22.087703342593933,24.764927438020724,23.574618878484408,27.683130844269943,27.463050080566877,23.92848234252566,22.277219859610177,18.744023128239466,18.743354618553106,19.02963036327844,20.988544436016294,22.838584828502004,25.64955044546744,28.50956435949167,32.866895206066914,31.696388400479364,36.32564211446591,36.15897540806066,37.687350170480705,32.772752757425025,28.87143429155246,26.37176350283409,24.12065399451855,21.482285724350813,24.536002557992077,23.678635053778585,28.17233130686856,28.081656539669858,27.055449932293484,31.192578668278625,30.51287539626144,27.7058180988046,28.52079373250488,29.32567354999724,27.560569074524974,30.265000447347475,30.159101593345504,35.17309803683337,35.40538752242738,35.73457775862847,35.55091591225082,32.80874167028056,33.794702402911156,33.26364398512847,33.21107558481279,31.449476120632625,33.18058178854909,29.913181412889152,34.49905237265316,34.224525721605296,30.469328103546776,33.71601569332926,34.34580280110597,32.15755879659289,28.638065760944865,30.013766382245425,28.63961584951154,33.14051252506164,34.97100751254643,36.519264965048016,38.56634937787887,37.02329627553666,42.493473403698644,40.89778405681707,42.16197532843822,39.23121806595847,37.11821568155636,40.47652336340589,42.08974362039707,39.00018741082272,41.37218343553094,39.95371780320914,43.18827312407561,41.07614511182757,42.45653274553004,42.676051279127094,41.18634534287559,39.832155517996604,37.91528299608875,38.526065305631384,38.72133236423455,34.189298162081315,36.23249623362192,33.94821061469772,33.46505013349256,36.425977389365414,35.73002234581657,31.704545843618124,32.04312918554808,35.253041268866234,31.67328340654037,27.440794027871746,31.92628379218667,34.64268515751221,28.559347863303366,28.924779174398488,32.36758787021534,30.161814296534267,26.374093149468752,29.84107495561717,29.079875108311388,34.54135690602467,33.14715597441336,34.274233973430434,37.82377615363501,41.88840038268446,45.04616956758963,47.21572862186771,48.96660274175866,46.89416912589007,49.07629537603059,46.50486147557783,50.13216298840491,48.90352390669155,42.8182471679389,45.5534687743571,48.34336311848743,44.041110734924274,41.776175448079485,44.40375411429022,43.809160737114524,39.63724344630453,38.41731860273112,36.5508379111733,39.20173307763893,42.48133138238132,42.33374802656268,44.50520145387989,47.35153530497288,44.50652338533853,40.77169097348783,43.168422225962146,43.49868690821693,38.70929034782661,37.83396145476829,40.19273451323385,38.22805957360133,35.17638117136963,39.74892253368435,40.243879138236004,35.76308592217546,37.01432395189156,40.926928699790494,39.68733443612848,42.51639692238763,41.47247294707317,44.826610769581194,43.18664797657055,37.713587159316766,41.0165129971962,42.10343236770661,38.820823412572565,37.07704435488208,42.62609699223121,41.07066204444527,35.61571564509545,37.59087862847118,42.02741346808469,39.33371917879973,35.41422665865642,30.89540299147213,33.71013919632951,29.394608697529474,31.24462993756522,26.164219079037558,27.37977797090577,23.983872583885457,21.657914147279683,23.22044247566193,25.316488519394838,26.2652373596121,29.120482036091218,25.917057285989937,29.27934342119498,25.47972036869261,25.921292674934026,30.426405262813574,32.29118557133406,31.73610471803033,26.868486641449252,28.053499973771995,29.31623495595821,25.266865184713087,23.489308781499975,27.154004307929544,28.315802116696137,28.822309688747293,29.88503780535366,31.821120101562027],[20.604068471954417,18.737445632296712,18.648061442322483,12.964000007366554,15.533757502288081,16.35506498844123,16.81596656835728,21.142826060705566,19.3515267160616,18.921447432611277,21.579968110423188,25.2335251549211,23.545830576710333,20.638289093079603,25.75225631609271,27.38996980380583,24.599346635667363,28.090017148682463,28.636268165564523,31.665570809046883,34.105051922408734,37.66293260294882,37.63134855665195,36.07546317589355,33.91887270510255,30.104408277690194,29.027571576490367,25.977537749425732,28.113311509236492,29.191139568292034,32.181384070367706,32.81832905119747,36.503491594378914,39.29767583885292,36.86061457792909,34.19492687736827,34.0142127753753,32.906161857562765,31.987100304311554,37.564492164977466,33.529256694439624,34.722332583285436,39.116291383091266,38.647304145275676,39.418916953428564,39.88408711660631,43.15432922335322,43.162686230148594,41.50939304988946,45.829982479322624,47.53226151919368,48.67382619653692,49.07969919420746,43.98679734569687,46.36973925200031,49.71429517867182,46.55316445329622,44.45728211447396,48.55986421518609,49.743044848108504,44.9866198870597,46.215948863410176,44.43622074664156,45.057818186032236,42.670343035690784,39.677905292661976,36.23747079404035,33.95248795685765,30.568232346690078,29.14342029918647,27.895255187989843,30.038983356231157,32.68423639977205,35.269147583873426,35.73974553041583,41.849451262990534,40.666151770968256,44.11815042673181,42.98379672251132,43.77287414335651,42.383050149857624,41.54397784583556,40.53088478344058,40.19748070969033,36.599658650259286,35.86940893371407,37.200242249535656,38.93385510715812,37.77092545883765,41.5665883553124,38.771649050949456,41.65048543858936,38.61916461017912,37.30223436405934,32.69603584827788,33.25781757557878,28.97019582936555,32.40747718356186,30.564975450257947,33.530381547925614,33.81653187882864,33.721578306232686,34.260741473457095,32.9944268862529,35.24474859442067,30.856098548096902,33.89372524047715,32.58759250851183,28.950012300610233,29.240178963033415,24.633378842088664,23.62468294192151,20.52320482097978,19.3100867338643,19.227304150438115,17.712930012957887,20.722307641102717,19.88864482531138,24.439262125054867,23.953726148915738,20.555643888718013,18.593197745452404,14.848618719062632,14.352336763287884,14.419991780749074,16.162132644356255,18.1584835168011,20.841753274397902,23.767637626269842,28.07268910395378,27.10000870304723,31.71909910229615,31.579769941526184,32.93781972199238,28.129190156543928,24.152445201611634,21.87323877914755,19.57256544432989,17.099655836639293,20.168813936927673,19.983537717106415,24.649200709380693,24.352383917409888,22.950863956069742,27.02139857750417,26.199154025987728,23.2690051514336,23.975172914781897,24.630498489905722,22.99800587297461,25.689256071806962,25.932798068528864,30.948909464318284,31.663994751322416,31.906728686860234,31.390822742063946,28.542858355546805,29.27407643397276,28.765631322038374,28.46068153345474,26.685159772189355,28.616576993777482,25.411298799876814,30.03809458157658,29.854941773302347,26.348666995848756,29.45429125333792,30.424201419180054,28.155641455929334,24.54315492485812,25.652916440343514,24.15157057836063,28.54235061115857,30.276986449792485,31.82626559717227,33.828343047506515,32.42831379327664,37.8404047248454,36.252526506890696,37.42312595828911,34.55470464280184,32.30758283152456,35.74347026849546,37.45690752984248,34.41288274304712,36.90452781069446,35.605201641833084,38.96700811412005,37.08020282910622,38.28371641063925,38.57179440812112,36.871723825737575,35.55142022886766,33.55998127021675,34.14133952147953,34.450665344847785,29.904960790491167,31.91423416135408,29.7824985532115,29.05709386676913,32.2782996912015,31.453504536470437,27.383670784221078,28.117000698831653,31.397157178398253,27.774625752072897,23.832479745248992,28.52971489671435,31.160478804675368,25.270081753601325,26.008855330538644,29.572485228822643,27.306473535081974,23.888485023281472,27.706053877107866,26.764291570867407,32.241729250741294,30.893431584793184,31.508297334618497,35.10780192827218,39.044991818219586,42.28157424097524,44.22661984750344,45.65883749518668,43.34323225422014,45.28840619855842,42.47375360072029,46.11836128788553,45.16421180540016,38.96800788651405,41.47373433033541,44.48368560819385,40.339008461028655,37.84094661318083,40.394957893576425,40.198537485907266,36.07638165794326,34.44183718495015,32.58962635517884,34.83166736840187,38.167326396240384,38.12578041510016,40.12701353775264,43.08734044365728,40.07303335650589,36.41894481671494,39.085144590881555,39.312640402653614,34.44068646957267,33.845390234649436,36.379084583557166,34.47706624251832,31.550180754027878,36.26761440679956,36.91819914020574,32.61649522482864,33.97819013986995,37.89298635113166,36.55064628031696,39.10045699084266,37.74188144156764,41.15645823768954,39.89804393639124,34.2961988668743,37.34979815679035,38.7830828948294,35.65791240348438,33.580132515039566,39.23548815204862,38.13836529272806,32.59285569218066,34.2475265005832,39.000861851060904,36.69551067283777,32.73134479965238,28.26538699643652,31.610765711814498,27.57147249417132,29.361851947998584,24.08438979291087,24.633132193571246,21.089979685042863,19.30197114940978,20.43234189799892,22.740399661581343,23.123166473016692,25.631909408726095,21.89329791059722,24.973245309671064,20.938142456350324,21.68909995299962,26.043413882295944,28.149499119081256,27.44992732727799,22.56879295242332,24.249314664642235,25.575876187126305,21.1845075033275,19.988514499552664,24.05353177259697,24.962997760014833,25.416172056665513,26.263800924973683,28.415573270617752],[17.228547120152484,15.92392499398619,16.73027835323049,11.216763641033141,14.97888969360734,13.846548507350203,14.809025174783365,18.690971288742727,16.45559510264122,16.957292827882554,19.286082086728765,22.63597802202422,22.090464726599443,19.223139500060494,24.276460969016057,26.175116618227847,24.24046399999356,28.04348826942705,29.422122235823156,32.45402767204604,35.26626603624137,39.04425276841056,39.309830536843776,38.19144162890396,35.82564869274137,31.776629345151115,30.44155736045551,26.91633901667893,28.286061948896503,28.667763854726854,31.249346793929348,31.569834930752712,34.946684815042914,38.187226523887574,36.10026432671841,33.943793518755776,33.60029807331575,33.446764364505974,32.97640306221299,38.81041670057922,35.297230216225614,36.12147737489252,40.559889709570804,40.40610253201709,41.582129750219444,42.38243061208268,45.60131182602627,45.18785707215946,43.74257733362292,48.14954783865469,49.46615970166662,50.429200397605435,50.61108573553283,45.579096010095036,47.46263564387238,50.93082154689213,47.96041452728741,45.44753068602431,49.397506065082126,50.99182530272283,46.171968965950235,46.989313017810225,44.80235198058528,45.788041474693365,43.7512001138153,40.44457434650965,36.93752201050757,34.14220134267029,30.917750127567043,28.785897277795684,27.806564743284852,29.874808762060425,32.28656122092802,35.41519104910098,35.44072138468788,41.58694895055234,40.72405037788138,43.78145532915392,42.91685179050234,44.11559820910721,42.49080570776017,42.10824612807397,40.630975385522675,40.755969508827576,37.51669096687381,36.28355732751931,37.72442342613636,38.77984721572067,37.835454362446036,40.976470138316266,38.177862001419065,40.87552809887166,37.505280221257664,35.812993187440235,31.12975063555785,31.27615392605941,26.927282052642564,30.357599842220388,28.283615587019103,30.79412130146568,31.96859708942675,31.800281737540473,33.09129049835928,31.819404134207826,34.8235427724673,30.336054638092083,33.335705154298665,32.54803277196721,28.69114346860252,28.4352483252355,23.71571847111831,23.170544199061553,19.483908821984652,19.346328980342665,18.999165004259822,18.51489395664319,21.577643797201528,21.77719239090441,25.97300075566777,24.532142130608687,21.200700792500164,18.654702679019014,15.8977494502546,14.74598335500816,13.809550003341608,16.638423873089188,17.41762822947972,21.00978277353576,23.985660942955032,28.405711865980336,28.0110663489029,32.469446944450645,32.91430484098869,33.70541029599044,29.50941926274931,25.37381270742415,23.5944386229149,21.581649880255426,19.547358720053793,22.262593798029656,22.971120359946955,27.543790687221286,26.52542601881292,24.81121438956702,28.586144058857077,27.00899329458085,24.043469152682402,23.844228818795326,24.120431044983103,21.616430768195094,23.94722566539373,23.330914157582956,28.251299998929795,28.172855117732833,28.712085725841245,28.80734193991062,26.413383243923235,27.51154994033179,27.529628852763707,27.728389091302162,26.980234348896957,29.046243335580115,26.78483683433927,31.351457769533194,31.870020302355186,29.047992601320285,31.922981078212324,33.45430419193325,31.02642092903886,27.392373056837954,27.959971630117707,26.179470262271565,30.068126130525442,31.2465347443231,32.339423109242105,33.76206147459318,32.059786678688134,37.493919873585284,36.58934262883,37.6905121802256,35.54036794221911,32.677562823482866,36.71699373948701,38.84692334470627,35.98294081653198,38.59616439878982,37.296969210237094,40.99011620621123,39.642045014020084,40.710366015992705,41.19486463918709,39.11716672903243,37.864445271394615,35.65529589392597,35.982091103625464,36.2028941405764,31.514636558795797,32.993457931411854,30.535092775940758,29.180692721032127,32.11389703887166,30.66664830593324,26.76370047045651,27.771894986756788,30.473319539803995,26.381071098718568,23.10805779994424,27.542354699546504,29.351401151690116,23.34099995232974,24.38329923991237,27.567519874827372,24.70007930698762,21.580703187091714,25.70701760945798,25.39361123961446,30.49687220542014,30.399770282588552,30.727812580884038,33.95279592506801,38.3004029667539,41.040146175581455,43.53300153769429,44.755556982774586,42.6419773724841,44.62855730604386,41.82416469441885,45.859300650559234,44.97846812505617,38.89206325504912,41.53228394135547,44.91159157240834,40.89131641749163,38.45108915233399,41.3370782967057,41.394671362633375,37.15000086485147,35.79171108782618,33.23481623008077,35.19910402622948,38.28294568622381,37.65258311177955,39.363427983300724,41.858194609681725,38.796618943594396,35.42445338458906,37.55214202773364,37.41779932703153,32.70684157768456,32.119982180668096,34.077503923771374,31.865912430840652,29.196437821177852,33.96714949637089,34.13899503548146,29.62531630258849,31.477758935097366,35.46247648308784,34.56839099977782,37.324406711978106,36.24833569016281,39.965252924171274,38.56101665564337,33.12070760946202,36.61164707789277,38.1678435744864,35.00466983226024,33.40406392618637,39.25380042694837,38.18513429955218,32.80348160036625,34.866284726893575,39.671018714942775,37.37893145236089,33.56373946917273,28.943692264361452,32.684237703874025,28.596033854315518,29.559475367804918,24.185367886208095,24.27161990008824,20.0827392878432,19.199453274848963,20.884064072023243,23.83140307131638,24.31180045820638,26.109552804096168,22.17876835876213,25.282494829085575,20.96345644880171,20.663361509204524,24.572972067009815,26.13030335072724,25.178611760983532,20.664984920415947,21.825540454994403,22.4995764760046,18.43652729702366,16.9352173183247,20.296764389943547,21.12853204417628,21.51054964035192,22.615140608884904,24.591787866458827],[18.183604875913954,16.521136514020597,16.370073351939155,10.988501546192088,13.216890715705695,11.264433211741412,11.068530587828377,14.746385212613752,12.202059390100194,12.26033882661564,14.703444651725523,18.13518584120816,17.361184926617312,14.601843305014986,19.69586690363659,21.486950641933436,19.66800910788883,23.616496056481264,25.404266233558484,28.249724746812706,31.29607370937776,35.077747956744105,35.5999477426346,34.75381262742306,32.16893321923637,28.067097730571312,26.490083684890593,22.75548241438355,23.809311038054176,24.001342942891924,26.645726781780755,26.842893089466433,30.257766101705837,33.513006773239894,31.402584073573383,29.338647804477958,28.94469666647071,29.044322338505825,28.76936983737044,34.71768196192156,31.48473320600443,32.09801811051908,36.52228607162816,36.5435220979922,37.97634359263457,39.02860922797723,42.188786609431745,41.46963042483442,40.217399898631804,44.66328264977117,45.687122494914036,46.57198432956804,46.60277857369949,41.61708145809945,43.255385816891796,46.73826625651199,43.86582739161585,41.17413190886067,45.04844289247223,46.82334718791406,42.019542478611164,42.7222896385621,40.41266565725306,41.64191027519612,39.668734693061204,36.19178080988706,32.85770025443877,29.8563747754227,26.923868644563445,24.62762381936792,23.944391609854218,26.316872474103494,28.33776702657545,31.475360229359364,31.14964893199488,37.284066701668664,36.30578092136273,39.245811709298934,38.35634797823149,39.624986342165904,37.92195791526954,37.69625453655997,36.14627368418596,36.48090085786322,33.36376794052568,31.873080153763805,33.2947248955787,34.16046236277021,33.29649421069023,36.326515825277696,33.61998229969394,36.42900833858147,33.036080579471154,31.267464988067932,26.558425864512547,26.88537568506753,22.511511230338698,25.747751643869137,23.694071839919562,26.423018573638796,27.324597078944652,27.395132562444097,28.528427365496714,27.57714072456546,30.785599535596877,26.55404740250794,29.88626235061625,29.44769224239056,25.855883232352507,25.12602788512636,20.50834350949487,19.406526987703707,15.394116801643161,15.31426518553433,14.508003374579287,14.449860291005802,17.457471858261293,18.306117897586237,22.351231960859423,20.405388336813413,17.24755398371636,14.386394824221508,12.129492916318208,10.604860759253988,9.499243754274769,13.161208031187586,14.494497216478573,17.84155009808286,21.100785754364054,25.158961987510803,25.542940050779865,29.879492274965106,30.23969010335221,30.484421257008144,26.604425159136426,22.258054426363177,21.400775602747554,18.93401360915934,16.93207433072454,19.06583554605454,20.326389575775647,24.67848470619567,23.09852528000281,21.206792598020375,24.733451040222768,22.783917149605514,19.875310961639162,19.382602448241126,19.761464920745215,17.183876266862356,19.8601518981527,19.229312498152147,24.324750594674306,24.609062844296606,24.69005447486601,24.512666886164833,21.90869727779911,23.165186881030394,22.939377335579284,23.49915016930291,22.933098876657155,24.749377332545723,23.0017364368521,27.446801571223794,28.518838621139594,26.304969060104387,29.227810731014124,31.242775455679183,29.05913735921287,25.256461108694467,25.460968717220922,23.20104860048401,26.61928950008088,27.44334357416934,28.215358916180673,29.49165488348514,27.54769493589626,33.03309389415727,32.301564788179576,33.52439639245254,31.69809460930319,28.870268011113858,33.230829989464176,35.544611477864066,32.6676862366194,35.02048829539629,33.55681031947476,37.436125101717515,36.484922643317006,37.63008588696481,38.41320074954734,36.168121145492044,35.272851517604636,33.15885160777875,33.60397717558219,34.18826328546802,29.634877616237592,31.10042681768219,29.028704901714374,27.145839490950184,30.519423048180712,28.67513862611132,24.7958496810463,26.63814277762279,29.256768258343183,24.999439115364748,22.55425956728199,27.115637549775194,28.47026423813598,22.866945111882284,24.544012935834573,27.667913238517176,24.52816922733501,22.167198301989423,26.684320151184657,26.35107296907123,31.233844491158234,31.455857724627585,31.130800343999326,34.2739861688454,38.47568259743596,41.15621234511909,43.46356013171706,44.206890827798254,41.802916467362905,43.40835930491815,40.21939390512238,44.32236955340923,43.912358193911224,37.733221925210465,39.963082356684,43.704355029063656,39.9891839208717,37.208819822660026,39.91857995438903,40.60954245169411,36.516567932226,34.489654745552755,32.04029543452164,33.16574899916912,36.30594382439807,35.80078402084125,37.05886623977063,39.62021656009003,36.158838006943434,33.132606793355755,35.59555899782235,35.04892188935774,30.26921407975858,30.318539489471522,32.28262015226798,30.00824361682252,27.792116993194263,32.78462579980223,32.94177928892544,28.65494914325229,30.93872780290948,34.89984471351395,34.06191487885125,36.44130763651648,34.974137084967815,38.8484674514352,37.99840887730661,32.49444375394731,35.6599346189886,37.73545338892563,34.83162136706056,32.86719009767016,38.79746015361638,38.35824621164825,32.97327079693846,34.590238797536344,39.73142589052834,37.95171878832548,34.15867835796092,29.71001326006753,33.93523546874551,30.222400537025077,31.089536777516805,25.67115780105066,24.95553605676775,20.624015813034656,20.59416720556947,21.753648267527577,24.8343870694921,24.61176869683317,25.8422640229239,21.16627764313236,23.60047100825591,18.798038636174923,18.888861190638362,22.07702194875809,23.877741945126882,22.251984417206163,18.121700253819164,20.14322316398968,20.331076259020932,15.61382304082626,15.540991630802022,18.90942051897723,18.901778676122387,18.77466292640793,19.29995410655374,21.289283032812044],[14.236161379167257,12.973482715350906,13.583818141928468,8.917986253802258,12.367728531461006,8.845104478145565,10.005243189360728,13.23297850884763,11.046313990559248,12.841023114047655,15.14824109204932,17.76139760250927,18.20573119853938,16.187409818349025,21.019346503048737,22.719422836400813,21.715821498213145,25.97035673313376,28.456255670746277,30.98755109349927,34.35402180263191,38.07452009444458,38.911294357956116,38.28985798814617,35.47186682465856,31.410591630922774,29.46554905912658,25.51138179070418,26.004322808894027,25.458152058180364,28.172929697861015,27.644538863266845,30.872299251326023,34.59380893935899,32.63053894781375,31.095706147854493,30.21931533986073,31.15497864984931,31.043071362833157,36.87305999722953,34.18096316830543,34.89133394411514,39.21146007366876,39.24691224489462,41.000895662360655,42.111220021901644,45.293147390703744,44.29973612378609,42.93977841382986,47.370860625619315,48.2445097842825,48.87588530262141,48.86441251864722,44.03281455637956,45.27063028127719,48.95622624263935,46.38634068259109,43.44053802120492,47.190385687474254,49.323240513133804,44.667773256729,45.243401064568204,42.69704404727908,44.35159210776881,42.51003737465672,38.77841923961406,35.72079123929418,32.375886702492046,29.838315091362237,27.110223295836022,26.789909881603663,29.187052606853204,30.84327174731815,34.24798441846363,33.41433995503823,39.46636151241295,38.50767772170738,41.055537217688716,40.19624939369224,41.61431765226504,39.50945334183713,39.43465929203692,37.32781993791839,37.81879062027681,35.079029103095365,33.46926447641463,35.27089623793354,35.55839340504629,35.236316050059756,37.77415971333224,35.32428637831857,38.13845468840027,34.504342648538085,32.309686799089725,27.57721198034773,27.684652984224293,23.32152962197485,26.032527196503725,23.51866895877448,25.34513060923139,27.169692873195615,26.597381182425032,28.590383556293517,27.1281769509911,30.751575865151825,26.25243422015088,29.1783231487376,28.988473406883443,25.098511869931354,24.18617086166343,19.54005460577607,19.428969482374843,15.371626690192711,16.519378456626956,16.33100599775323,17.13489164923659,20.339682411012117,21.847715393858408,25.873481984544807,23.39220595060994,20.526029165019317,17.307156283321252,15.667565259026032,13.42561372950452,11.065146195797194,14.543577261339552,13.891221227130131,18.130743607948975,21.044690368834637,25.320064918715143,25.749234455263,29.86214432424573,30.888057292069973,30.928989443367165,27.59719290964283,23.437878959702843,22.492358169626296,20.870601473534727,19.61196069692911,21.774587525611068,23.843695055032473,28.203395482635187,26.45741492720302,24.20078159918602,27.42137444298593,25.057734325823763,22.087386620126093,20.80841720849544,20.440828405546714,17.164939171231918,18.917694455826073,17.695659734373795,22.437976828705143,22.044652600386044,22.84503150048407,23.234048336756786,21.294283431509985,22.46178642662125,23.14375171205269,23.576916324641243,23.96973879276723,26.332216812094806,25.176358217295824,29.520862981695632,30.74800861059457,28.894571693184567,31.297517797357663,33.564135720437505,31.021199251178555,27.466082304722025,27.27409156312452,25.220695245857723,28.331703395626505,28.828085640069386,29.438598685976995,30.181157070103218,28.382837745318085,33.64804518838615,33.45327408105739,34.35105888971429,33.0192165389453,29.477982553240796,34.081383857731225,36.65375898605036,34.08343446128501,36.86564173030205,35.73047108440569,39.740102675325026,39.11012320110916,39.85702436038214,40.55730579184671,38.005046471992586,36.87422605293617,34.46412643375787,34.51884061892872,34.76261671715845,30.092250774832692,30.98560295394215,28.46668665375806,26.276639224150312,29.106171031471284,26.911554343523274,23.268809319073466,24.99010151056051,27.070948526222566,22.561547528015375,20.545978067687038,24.717116186430353,25.487715620047716,19.82241957430348,21.610158575520767,24.384627379716576,20.901156260595215,18.770671002377025,23.392556792480946,23.520838456784954,28.03255608031243,29.167770791902583,28.677869914188168,31.48777051655963,35.968270253521595,38.25510305431901,40.9836963660448,41.66077841191681,39.513352415287066,41.254450193116725,38.243569801011816,42.60818712350943,42.09557788209557,36.11349257751353,38.585383018498426,42.47057611636009,38.805007663115724,36.23886308797219,39.288668515998815,39.96427614287774,35.76976225896092,34.29012858135516,31.179165105035246,32.38465713392976,35.208729880973195,34.12947445019767,35.3297509294422,37.447141088281576,34.18561854670593,31.2518851440414,33.093813459045734,32.46191707994401,27.88840234972581,27.662546894204407,29.172077693711152,26.72386153769285,24.552118847366142,29.46907737204968,29.311257907522126,24.861577262908305,27.35428751359086,31.333308357844842,30.798564301847573,33.388758330359956,32.260170333724744,36.28070672413994,35.18041403485709,29.884422161905423,33.44322155315257,35.455591928400466,32.50602587219179,31.05222436469323,37.03379508369484,36.486628294552936,31.329181210576674,33.36596302944979,38.391600470535,36.55319783175452,32.949047612353155,28.443635722151512,32.85714710327554,29.165855822246,29.341771366714426,24.00152431261069,22.975294299541293,18.304081171152564,18.99062236351831,20.57020924956732,24.044251176176644,24.02817466397581,24.7076502083156,20.261511271906183,22.866312669500516,18.246864563125506,17.130116272360564,20.10501333775035,21.275390578495543,19.834202529941198,15.909521935000921,17.062497658596207,16.94111378106619,12.889936435848846,11.976959653501094,14.83658911934252,15.129867288279037,15.32954707306756,16.465771804470297,18.551457771569225],[16.23756500051328,15.462916713406626,16.014694653950567,12.503773362656888,14.83323554467938,9.524789249206949,9.575447158391862,11.09418447187574,7.708960576084192,10.174029173045303,11.56161844245836,13.718590118550278,15.406622168705448,13.5565741839141,17.79591636795923,19.69319491388986,19.693724304223036,23.900922717699412,27.076903631491387,29.510728938958213,33.07369045883347,36.912971801471215,37.994643595878046,37.86102841700373,34.96653299846807,30.81421945830821,28.790095030749757,24.609586253378076,24.255624630573024,23.10074050930717,25.091656736507574,24.432905613450806,27.207449814327056,31.177731983408076,29.658515719732378,28.635136687742705,27.819227080676548,29.60398193830274,30.0468530896335,36.02118800202617,33.855911723243935,33.967696011566304,38.21232766232661,38.6748937155101,40.74325915953546,42.25502364533,45.25411189421966,43.853911479848335,42.91235819989388,47.349426083940486,47.73252988097264,48.26594784586172,47.95347058655184,43.244926833562005,43.99156307175489,47.61730379422413,45.19978460297878,41.91135938812148,45.42072400559918,47.85896953307633,43.17234380103531,43.27518321145126,40.38954704352493,42.317967159081626,40.88809484274818,36.973663229942964,33.90632264312755,30.188344857471055,27.9514000434458,24.672119342540974,24.713409048349234,27.0218735145016,28.24031083658593,31.988104695191222,30.712928872099145,36.615119195494714,35.99413963717299,38.125596471973815,37.590491346689944,39.418313449334725,37.2767344094257,37.76194348033902,35.44286676310433,36.50635073975445,34.14704143906664,31.931307393901466,33.56063101360385,33.2131877411517,32.92494416648602,34.75186394507536,32.300837046375456,34.85941202845943,31.021591261305502,28.56779881497737,23.916862099352162,23.66275262818368,19.405216122114947,22.056839940015102,19.531676267699314,21.19568572608864,23.65957483290219,23.539027373414164,25.96382858576223,25.083367990016594,29.45395704929475,25.395536331169716,28.556268430027174,29.10152686328417,25.522687084174017,23.771214150359693,19.46837333640681,19.092472838878773,14.5714322267224,16.49786890930194,15.42980275552005,17.226226777129764,19.863030700857177,22.247672180911405,25.464089739391884,22.18044328603968,19.69334928328042,16.28635476082543,16.104400773439835,13.829864811982391,11.288747135225094,15.687862942532796,14.932170983226179,18.991716001272962,21.966710375064654,25.66922346813869,27.129658407280434,30.87970863970041,32.04657751798008,31.2866387100264,28.67022693747356,24.440240065024426,24.58156056980296,22.709079589082886,21.58521095573912,22.939038083091923,25.392401764059812,29.275472410305305,26.823812653430434,24.562236123777794,27.256700583981672,24.26346740788206,21.607558988395503,19.56565064096986,19.16558383585655,15.261741376683403,16.970980352103737,14.617188753524632,19.289263155670234,18.211207424728695,18.692939825422886,19.58576688457015,17.97748895069304,19.860665969419745,20.639860784316774,22.103931135307665,23.416781533114918,25.307855366659695,25.29863936107628,29.257440545052933,31.356196706580313,30.34531957013254,32.731818799412,35.49177988589604,33.22943280353946,29.614241173173614,29.013471039614327,26.494879550698887,28.818392648329056,28.665255777938743,28.61059298939793,28.80647260330862,26.477376792588142,31.675368243864085,32.148276151130986,33.183029833953235,32.66198910658411,29.01363347635397,34.1365535351153,37.014317551739026,34.55476970100034,36.96438745925709,35.59574865708052,39.829859800301996,39.77927175002983,40.63914127388909,41.707560864687274,38.96497706295564,38.25618038961193,35.942185343128976,36.0304526345779,36.56108725385065,32.088546098025994,32.731766517284385,30.47089441418456,27.617219492652595,30.530910840699836,27.688200704181998,24.375686176910694,26.867557328641833,28.412682116602728,23.67125486397734,22.909389512070508,26.747049863610346,26.526910563509983,21.461663835392493,23.816591827998344,26.090634294232522,22.112491860299478,20.97699340746039,25.752431748377624,26.292783545909284,30.18686261363936,32.25240668925179,31.222668456307883,33.639206451195506,38.14466024178529,40.00454993329779,42.902114493446646,43.087353714973794,40.89837713160155,42.327215357548376,39.07296894992513,43.646365487783115,43.56642674071878,37.71343468085175,39.87079983162815,44.16615078981278,40.87348103745206,38.13751487209032,41.13757585793249,42.39530026105025,38.347142762598175,36.527253497049145,33.27784125267702,33.61843102479866,36.267559412882,34.970853968823945,35.534378755686355,37.32115040607168,33.71911061135937,31.42815148020643,33.11065101806207,31.795536680583673,27.449897927187948,27.860007358909346,28.804624259567827,26.083672687108592,24.70455476497572,29.656820025836634,29.039555086683734,24.763096113174875,27.99642668683303,31.86526495362135,31.771862819853695,34.13793019536231,32.93919341709603,37.194326088643386,36.45778591697653,31.402106795943237,34.8783081436386,37.301146982087026,34.60227302327816,33.21703266254849,39.1890738112938,39.1012178630305,34.16891948501884,36.04790622591977,41.200257177748455,39.728440141094076,36.287243437406026,31.946233556250444,36.65458695230701,33.2198564730088,33.01331151975971,27.806647437725918,26.19042060763124,21.40705688624178,22.93201808232369,24.372570970140085,27.978160777676564,27.617220156247022,27.64324223305697,22.851499911406645,24.785773924374297,19.956156018657687,18.618878787381075,20.27309947601434,21.102092826970416,18.738157459046416,16.01354848194359,17.408847355345394,15.973707533768495,11.99810077714758,12.568889986871703,14.015022379781684,13.023350446076611,12.249071205279213,12.863172243360344,14.482465506550396],[13.139063730023782,12.57340453538553,13.41750215292121,11.112932582163829,13.79061914683087,7.758877730579076,9.204973145501992,10.263443843020552,8.329996010205395,12.12461638155351,13.714886054564193,14.867489618299492,17.083849826949063,16.218150838218104,20.187436371838864,21.67862158246814,22.004973889297265,26.422507057606644,29.934457135892025,31.96218774314569,35.73873406585982,39.36819776978605,40.702612130076574,40.601104793971615,37.48306833740327,33.49024851129186,31.110420495178033,26.900657283340497,26.374487264520265,24.765197757231025,27.23892330391751,25.79806946144622,28.569271557469765,32.818881246926225,31.208669446457485,30.520064422009735,29.14192880712296,31.370007276768877,31.723422359225808,37.40590046452256,35.63207719347881,36.10465715340836,40.20521883985843,40.4921058581913,42.76610901193639,44.18062316670212,47.250787596001935,45.709603979922775,44.50824627568496,48.8905424453193,49.2830962698736,49.58005358105895,49.33926125562455,44.7928713573664,45.30461943297615,49.13816279457532,47.01042542153388,43.632705582146215,47.08154013164485,49.75435233123042,45.30386800556985,45.519622179502804,42.58758565504747,44.86997566455811,43.360791256069064,39.288992628135425,36.65196193853705,32.815827179732274,30.990119271018784,27.669217189897818,27.982878557378882,30.446493302287628,31.35441907841845,35.04681105806637,33.394189386091426,39.17016143742281,38.301570328981796,40.185410494942545,39.47155255271893,41.20285886486483,38.65691317373307,39.027702858392004,36.253495927645425,37.22669585759855,35.14245843668345,33.089608592940294,35.17278572165404,34.51500884447583,34.832171835655515,36.48266199043903,34.41449569015137,37.14842461107,33.25578481765963,30.516075588143284,25.926405001602905,25.769764940596016,21.641739541521584,23.448288457677194,20.47635347319526,21.126052761889603,24.137954716706027,23.09320172965,26.151297853216537,24.54022224330968,28.958723197735267,24.619051881082186,27.265375401669136,27.866502496157974,24.063110441186836,22.347382660528428,18.12386692000446,18.74469454951909,14.618133220237512,17.32316633250161,17.215101301204196,19.300147465273017,22.252199072494353,24.84696471442668,28.370754756587466,25.00209655877776,22.74472168418395,19.210580585929907,18.888967069586254,16.114898547956983,12.873610156671145,16.43759703382592,14.098915657427499,18.652956466736466,21.172822848030386,25.031311496726644,26.319655231373925,29.838639991488236,31.533459148172213,30.760955204259172,28.545129403451757,24.610997185331122,24.500412650271038,23.42190469119118,22.923094732793494,24.45852256944421,27.49846816246151,31.48299295895129,29.14560506639883,26.561808209939056,29.08453039637774,26.005296751204902,23.25386938111024,20.832072662009665,19.721494642768135,15.592939412570322,16.220973977151104,13.764627525448047,17.869195100930128,16.460284829904925,17.866061508391457,19.04594407518463,18.079954786429834,19.450745556069215,21.11934500726461,21.991083803442088,23.88940872410571,26.411564098210462,26.572643978130312,30.464981435573858,32.40188561505804,31.528555562705524,33.40804291390924,36.2635560925395,33.671006804546295,30.338049524300526,29.47296860164472,27.28356619560075,29.46649098504183,29.19310343046775,29.195903862801234,29.054101050895316,27.139662035273833,32.012345327458895,32.75478885263638,33.39955216889623,33.103220976323676,28.889731793054032,33.99724112573284,36.99207012369232,34.8246413985849,37.70213103065234,36.746210615304015,40.98455088379049,41.08004584574177,41.511747004376595,42.40266229428462,39.447139258488605,38.444536765117824,35.8824029190375,35.62370181386225,35.81798659994301,31.303699824676144,31.48505028369592,28.891275518913076,25.899959141078224,28.30501477139308,25.282638497643294,22.225780882186655,24.535685913253882,25.641373555375793,20.81861010644304,20.467692798901357,23.892645523255492,23.227846302303433,18.286744747288875,20.741234952473178,22.69956301313665,18.551489997425616,17.787545521155415,22.551656337723276,23.365502163531456,26.875147716334403,29.544960160196187,28.319617807045688,30.458848582757366,35.06789638620463,36.66531836127439,39.78129763000491,39.902452024625916,37.895965153723,39.41792520600257,36.3368338715576,41.050415090481046,40.86917531987367,35.213443974305726,37.5462476586797,41.88392027427604,38.649047991945565,36.11260624040531,39.34369623653809,40.55407651283635,36.47860836445482,35.11321250904129,31.404784161017023,31.85851203559606,34.22789419066491,32.5123969083365,33.0955851057787,34.559436326326974,31.206310708492193,28.922757072026435,30.11548381368586,28.841189449239597,24.675262495474353,24.791196414488788,25.441992992406675,22.649181695940786,21.256816943350813,26.111581829690593,25.33795190164489,20.992357605355352,24.319037408935465,28.165861060702728,28.24193208603211,30.70543064312046,29.740275102374927,34.04654444241221,33.15290435246327,28.291021341186767,31.985469435955725,34.345245780903184,31.66514602182848,30.642345519376228,36.56828279748927,36.44228059071595,31.749350361505392,33.86879815894834,38.88268178164605,37.43350758374115,34.18691211765463,29.918485759536342,34.730775384464486,31.450814895737505,30.7479015102062,25.73810697953432,23.80842304598431,18.970495093119506,21.10891399366618,22.677952101386783,26.44568204339921,26.160583681464512,25.72086434917321,21.23739631254836,23.228880242365854,18.76308180669394,16.50985674493186,17.950931275736593,18.233716362637793,16.218142280095368,13.678496231535457,14.23454438789095,12.610447129915961,9.470954359282535,9.263448708174991,10.181926446603754,9.531547314348211,9.365360495309217,10.866525967111047,12.900497015748686],[14.679669384494533,15.037242432555837,16.63771712355036,14.952045562463525,17.802766876542925,11.552176052038103,12.715140376879358,12.587446029027783,10.154363524624438,14.06874376498838,14.623403010645289,15.185649628469541,18.605280987115012,17.67698039014903,20.963729098709237,22.721012562121032,23.80031850327876,27.98231298538402,31.76229524487885,33.880790769199706,37.64954845376317,41.41221097869261,42.78007152178794,42.951732479652286,39.91887781919098,35.84169157664732,33.58933878245244,29.32017701873838,28.312303590942076,26.374084108355024,27.99943018968339,26.620914508730557,28.805238104790842,33.22122770944306,32.13248598560708,31.870837308646557,30.65883382834335,33.4424001168596,34.17277617541185,39.93100456065924,38.41124774343546,38.4419180796863,42.498909902755585,43.08561973149357,45.466509557355224,47.10177794995547,50.043482081265346,48.328644072396585,47.4121399967264,51.784189084235074,51.902801506038,52.17276548118518,51.73832813520796,47.27352472114628,47.485518009711505,51.23204455588794,49.172256915276186,45.590853090280014,48.84666506367931,51.68151765386815,47.17814661681785,46.991439195267134,43.8153034114533,46.16538010722943,45.035326963109746,40.925456906935004,38.12024998830471,34.09883241661337,32.31095222819368,28.617705309795692,29.016263012136633,31.14369977817055,31.937465171002177,35.94916085598895,34.16200712121079,39.75758057309313,39.353670841370075,40.89475234309628,40.5579374090756,42.654107065242016,40.16916793480291,40.989738942275736,38.10535731326788,39.48703790277036,37.671749115649625,35.226875413899435,37.10649247470257,35.991545020967685,36.2349762608977,37.23513651921527,35.09286779426891,37.42390450217385,33.37601753870671,30.475472148780486,26.098214573441723,25.379882808914658,21.526392763001567,23.416154336215413,20.552660692177334,20.737694704116866,24.659203555431453,23.94730965430197,27.49754666127239,26.289967833976906,31.201241210050966,27.17981501655774,29.772119710248393,30.806752557857347,27.15269761368,25.04239232547164,21.16066663231744,21.838351045645176,17.655881485260224,20.64024044281666,19.993191927018202,22.40002032746587,24.94487170402661,27.7888731549751,30.75948162624494,27.05219800624431,24.929582840733552,21.46879471142225,21.826114059095392,19.31460261523903,16.296738498814317,20.195162691964438,17.841276966592883,22.278463903135197,24.707363615407843,28.281858918164474,29.94360235473619,33.23123594960992,35.07932095772449,33.9591958287462,32.1339935019425,28.230434326924957,28.44737465245933,27.303056753531692,26.74942476846395,28.02146943732435,30.991227915262126,34.779769956509725,32.151289008705376,29.695012205311357,31.99727648406266,28.644693156484614,26.128060266625962,23.387550137418085,22.31560803218237,17.917486794702242,18.291074150586965,14.863859925118332,18.364529519668416,15.640643637723223,17.19602794738873,19.288482476266328,18.973368402564578,20.899546020495894,22.750082417809082,24.331136640013405,26.80758162090814,28.99366530509363,29.749925686351695,33.41554811559445,35.76787012090708,35.20505132683351,37.1176670293181,40.115135049685776,37.61894484027002,34.268033537759145,33.30700143333274,30.965456242925338,32.82724809321624,32.24237125399514,31.868857465385226,31.355564138657634,29.11290832360195,33.82819194201772,35.07060996950818,35.777637523587565,36.00101913745504,31.732934824012546,37.06498900833307,40.204159399516655,38.1288438471898,40.80758899362049,39.71378951839662,44.0350146208924,44.39211381980498,44.91340072518606,45.96323014547521,42.943057346419835,42.10690109038654,39.57613664681614,39.28979148770366,39.51972480360687,35.08428557882326,35.068224998200776,32.45472401961969,29.240936603428075,31.389432425996503,28.06171568413747,25.347220454780363,27.734858290060284,28.353886223388,23.494293113354544,23.715202975303704,26.68148623927244,25.325988463450557,20.75427570406747,23.23358590564841,24.647609844983236,20.211908286529564,19.91091195821183,24.469095083861422,25.79054689122266,28.745736744108427,32.24247723102878,30.949491167330414,32.693739729743086,37.447829045291954,38.57963882923769,42.059427184394636,42.02580084389511,40.24213113456406,41.73760932643181,38.73891896749617,43.60472367532258,43.50552090151177,38.09359440920621,40.41813293916216,44.88977662641193,41.81676440816007,39.374384389709014,42.686517969573885,44.01293165720186,39.97086254278921,38.7508339933976,34.83715832969178,35.066136732886974,37.20704271587843,35.171017133227394,35.44524678351343,36.45799075660688,33.12782856141391,31.276788260494335,31.962476870671654,30.302493247492666,26.55040835050295,26.777157251525786,26.729681986701085,23.71656252517163,22.855782208122882,27.437657759661114,26.09658685166527,21.789953087832,25.567382179147188,29.259327016429335,29.83791904158622,32.376924732918624,31.716218836087627,36.115020398039704,35.140768409590166,30.653434673734637,34.5207637494985,36.87860298157514,34.26937744632606,33.63418326194092,39.467149291019695,39.33098496713318,34.894755406551795,37.19614304542383,42.079253947407466,40.62675917491303,37.53922447627227,33.307055539312934,38.08536089900534,34.800718392816954,33.74033802920898,28.89936350820177,26.945699287172644,22.095788183110802,24.447119312819087,26.2525195318843,30.08495651495132,29.938246888547756,29.285036618996337,24.98033115897466,26.845275560913944,22.51120655754997,19.9195169579731,20.69991062364269,20.40621138788386,18.133194811202806,16.592649715570005,16.579806720325138,14.050471912368598,12.074403920889617,11.901058992342568,10.915902176016743,9.680610024677256,8.873015886130379,10.48923440588515,11.584084587187304],[12.429237195888318,13.205027288898961,15.039126779601805,15.023834080357737,17.812941028155052,11.623249371975257,13.736089822903141,13.076722200453249,12.284315683077821,16.842399181491828,17.683155281664675,17.383065298789884,20.99438000505747,20.967608510168375,24.03776238799691,25.326658852582405,26.61599573494177,30.969813004866428,35.03205520536926,36.71388382413055,40.683618396456936,44.19700766847137,45.829326132568205,46.02286346964267,42.759530569431156,38.87064886809874,36.25834182967798,31.998846800759114,30.863141383288497,28.526605922736568,30.693181565300506,28.519437275179417,30.70205016814288,35.32933145710942,34.113834437839415,34.17876399562006,32.38333992324951,35.561835594908345,36.17630933255896,41.56494633911308,40.47245534873913,40.89278677207484,44.7712713441797,45.15669898616569,47.74522968109918,49.2667400039819,52.268996921490235,50.409203995015034,49.21673507900359,53.50627100189457,53.63281153333985,53.63900109494156,53.29056071717583,49.031898012893635,48.9893240508676,52.93751162573862,51.20984451628967,47.56279891413051,50.73249704622262,53.802149671644145,49.58838837594476,49.55091254366899,46.359169704861934,49.08296882159034,47.842314917786496,43.585595676393694,41.27183474069085,37.1671990509531,35.814633567253686,32.148375974509015,32.81114309549796,35.14145060699142,35.617015222828286,39.50461437353534,37.34158219639448,42.776707437325584,42.0616699236011,43.34890079901174,42.78780459227839,44.736237300013315,41.82738108139522,42.496963721495725,39.15234025942385,40.40994733658692,38.913625416971,36.68099904889843,39.02883695162788,37.614586693481385,38.51175147546585,39.359080994265554,37.66446930418554,40.20454737027453,36.15987263119441,33.010159961696225,28.754534350083915,28.231975188064112,24.571241528109475,25.51124175056445,22.264354229787678,21.322220301087054,25.672290401334315,23.924053276849428,28.072209940889223,26.085983985040528,30.9291629427863,26.724858474353624,28.65426029551245,29.767934287765655,25.998869141461817,23.955857534576175,20.398558850052808,22.09478242745761,18.535675917629863,22.0967862720202,22.336788461831702,24.93533091324527,27.749269998587597,30.762357886377277,34.04408970370505,30.29421427973237,28.390129646041874,24.823795360670715,25.00675559771891,22.08303428234527,18.580931553904712,21.63013554460489,17.954798011238424,22.578917962683466,24.426945399140084,28.00143845678082,29.483179760437814,32.403547107767245,34.798670520278904,33.64928723664422,32.32920570077534,28.826824285988536,28.836030828109415,28.495473433976876,28.557035801273678,29.95427810873028,33.46887119825634,37.32038199575219,34.820100379996155,32.0639454293441,34.17089067940138,30.780594336481656,28.205553645872115,25.169572961637062,23.43948602724936,19.03367445320834,18.26108758541032,14.947148294470049,17.425278496102226,14.34571195904099,17.05702883849425,19.373919649780763,19.805678508743405,21.06085752775788,23.790028876238942,24.686640474007955,27.707924881964747,30.4840687840035,31.398811917846096,34.93779977010712,37.10241244255494,36.71203301093875,38.076254803429464,41.156615423002656,38.36137637520918,35.349467701158005,34.115619543383175,32.13297479882664,33.793742541439435,33.080460470586424,32.76557883481706,31.898073995425747,30.15126493252592,34.42008099175844,35.93214973627833,36.203751268855804,36.67808220307798,31.881394674929354,37.106327047489295,40.334550144128094,38.609472389992376,41.74514307906614,41.100167810748125,45.38846747501817,45.90864941875849,45.96853036939228,46.829084522967044,43.6019872548413,42.478559989370424,39.72137058548069,39.06650117091972,38.94129315439542,34.55780711711188,34.0154962232505,31.11369219182906,27.786013545669203,29.26955102642647,25.763558011060308,23.51203901329656,25.653038327836477,25.637578765087923,20.84680681378943,21.73524352562216,23.997864239757405,21.954663516979604,17.876069046078168,20.426556212246837,21.254772583138468,16.67579685799024,17.123085844325175,21.443576308188323,23.140884147398264,25.39678991957013,29.698224825524303,28.123906162638733,29.41843373055547,34.21694638177469,34.935511774018224,38.66854089647126,38.502404927113574,36.96682974866853,38.527186941319336,35.7677708998254,40.754946470872795,40.57235573936535,35.49900327360656,37.96697980881069,42.457532595179366,39.53184624049462,37.3518400389506,40.87344641949893,42.173380355776324,38.179527775467086,37.47166030434665,33.104866294796935,33.387746362161735,35.1382847115154,32.615129526317475,32.85143853398831,33.402735431950084,30.42758945939527,28.69180026909179,28.697927668135332,27.053067274616186,23.682833338844016,23.57275144223807,23.016476941794455,19.93063957701458,19.219568353449382,23.511062159191553,21.876534740432422,17.582588401832613,21.54686371460486,25.112194688388914,25.991844282825422,28.590801817818132,28.256600180449162,32.667319462724066,31.5443909672088,27.438941833497456,31.490760932972343,33.767442923231805,31.26291593050214,31.101523981285453,36.75734475587687,36.62924767539747,32.594223678133474,35.11084718228623,39.757493840529804,38.39815807761133,35.61097451428795,31.580725429895253,36.40884175658666,33.407193105253775,31.76436038517285,27.30868750227943,24.983479765372866,20.299913751626722,23.335762592562602,25.175840924729492,29.058542277221672,28.956912191686776,27.737214390489243,23.924974935148654,25.712176139385534,21.97184258334365,18.506399253533406,18.811191540714383,17.73675751502675,15.990117098575833,15.05221020075193,13.85841442960043,10.956630958873824,10.832972336803682,9.793658869952422,7.0930644458789285,6.2917757758814945,6.577862505138939,9.474732674877892,10.88865628904558],[17.58493517122676,18.905355257077357,20.97194153002087,20.8231484227787,23.452539836958803,17.048251475374265,18.301992764635315,16.69589149220884,15.060831806246023,19.240052663168697,18.892516925525495,17.97909432308212,22.730331735807468,22.572500532879793,24.680210016833627,26.258419595314326,28.420886646622698,32.35239574831982,36.67881288722434,38.463151812878316,42.36216487248554,46.02866110691726,47.68591695074931,48.26395486787349,45.149294268674765,41.17363727052699,38.77874150843759,34.49287661292128,32.76297350553333,30.109220081284416,31.06838283251727,29.11709772783375,30.445412077186916,35.14404891608254,34.671600390425986,35.265173313108505,33.8088183936053,37.602921547487476,38.73493030993796,44.228733389869795,43.434509139660534,43.18786474801176,46.98678299704301,47.81940039425106,50.52658120988983,52.38406993104178,55.17290096361831,53.078137047179524,52.35317964908147,56.61915989010724,56.333777277892786,56.343783858790765,55.69848201970575,51.55146920499035,51.13102904967715,54.883475463967144,53.21472408547697,49.3256942884586,52.2069709816069,55.444690935720956,51.16037391208414,50.550126553849786,47.05926153857205,49.82710851966962,49.12553836170053,44.87064037517237,42.3431151342344,38.05816840598102,36.79046121578883,32.726655069885226,33.508413172803586,35.38467128520713,35.650373374109094,39.86402176211547,37.54951646737155,42.64514098217745,42.572567601433555,43.39310362797545,43.37179366848941,45.80912412767582,43.08370699101648,44.390183819863395,41.03046625107399,42.86755966765123,41.69135961527322,38.9055150972299,40.86018617853355,38.89437001467937,39.58759890893655,39.55856674378666,37.761463607713715,39.704579956794596,35.541814568207876,32.26956506809581,28.434351332016227,27.1998001899223,24.078636491734823,25.091375066210585,22.20066576482592,20.821689615239606,26.114205146489347,25.123597050148966,29.62348553852007,28.465931312534682,33.870688068987896,30.274331362852926,32.344014180133854,34.023398331581326,30.621811791120013,28.04081584919106,24.92864167455944,26.215699334290047,22.476839822952567,26.109191084002212,25.499895243096372,28.425198731952232,30.65433422151166,33.96437158742663,36.45753690151728,32.315347250098085,30.6326628723798,27.228525254583882,28.270329303676395,25.714549982948,22.57622702841525,26.219015934205853,23.084997778310775,27.37605116268712,29.31590158991578,32.416129314062516,34.51663820680987,37.205720543488916,39.5667428472331,37.91112361411785,36.997419355241526,33.42950351190527,34.03148312408776,33.312767303086005,33.15828724180092,34.12320548847245,37.478138534482696,41.00922106283204,38.08444912807192,35.549607718935405,37.35806553834678,33.64572661807193,31.42485186423698,28.09913950334297,26.618696703298948,22.05650445595882,21.370364264079864,17.10339088070703,18.81796479046483,14.216978945914972,16.62088353651623,19.98991245507739,21.102736988651547,23.15825711600054,25.767550738882257,27.727102341384615,31.26518594063866,33.39929878890162,35.065822385073176,38.28265036093658,41.063333524087,41.10734794930658,42.64854924129388,45.93626467414819,43.40137186219894,40.26724802658557,38.9476907452562,36.63165266346643,37.86288755567035,36.75251776292694,35.90761267759455,34.64599314165518,32.369297444431005,36.439704404912774,38.5434418166362,39.014398382696534,40.14064084946372,35.49610155338498,41.00652569338257,44.385725585397125,42.699892401153775,45.389222241985514,44.44390344126803,48.83047532686878,49.711330817594124,50.00569756901959,51.16005841688073,47.902238709515984,47.136435545654656,44.523916642499124,43.97191294317894,44.07000240288331,39.84106396015745,39.23677239414406,36.53430137878052,32.937358566423356,34.4054029308139,30.594431638225537,28.67133949883623,31.11683498277397,30.73247519857994,26.02968837941033,27.479156071734213,29.43314212063745,26.78038650603139,23.320114160919033,25.88551550041762,26.227967511387988,21.60622715554346,22.49491093905806,26.484453253847704,28.532719942045514,30.2253616095936,35.152191230268386,33.487497294620134,34.40129708189862,39.190027494336064,39.42723666671714,43.407748344184455,42.954549215070145,41.57860158171647,42.950792193066775,40.176640677224526,45.246484265504286,45.31857817069662,40.51190830843139,42.77630428953609,47.44902538600769,44.79318895896056,42.595441823993475,46.056123526986305,47.63666396142321,43.75098306184476,42.910553311407256,38.536885758353066,38.33772128035169,39.911311681455835,37.22468584331611,36.95525144814771,37.05780945270267,33.97539093895085,32.913903157202746,32.56615137899844,30.33549688994159,27.52022957843924,27.852692124057175,26.562930133116215,23.359171732990152,23.511864433773145,27.348389072901046,25.108001824578224,21.26377612542866,25.632788695847186,28.824392591639825,30.253474559226266,32.71241083861502,32.56832454800085,37.00310744278603,36.01236435457694,32.37020813560963,36.36266039873542,38.74287527369173,36.42079000677224,36.47808579475422,41.98258941549324,41.99511762535947,38.20573982750466,40.712733334222435,45.29112223738416,44.03376070041664,41.37339264589692,37.41567233700652,42.21646690150363,39.226171937091806,37.40711841522134,33.08197362327497,30.76814404166964,26.14624257901717,29.18963004954693,31.111535974871767,34.99542478727204,34.89335979828894,33.558814181741894,29.69061592384492,31.191499899936694,27.375538480489595,24.059329340568464,23.6251053771622,22.266998610573893,19.965469804350175,20.1263291353362,19.083210244870802,15.457152995996339,15.75325608928229,15.615876852292832,12.09924958903076,10.28496747772465,9.13654243629008,10.94574873965491,10.570879936402573],[19.2863838307842,20.02733983232132,21.6319049459554,20.247806439571814,22.61539231731669,16.17693247539745,16.520797062726583,15.15850874828825,12.249812864585175,15.744965125174371,14.975846397067135,14.697481014848776,19.340914855198157,18.50328946173707,20.63469879080448,22.59790132872542,24.648954007735632,28.387585902060717,32.51114891869891,34.61550710309722,38.34510006516113,42.19766725244959,43.65272504444415,44.24648671319042,41.3224376758309,37.220897139138316,35.12270398540771,30.854966925943735,29.17350901608797,26.839632050837558,27.30457314672659,26.05467938657323,27.40927315950307,31.909974893296834,31.525062045301883,31.827772993457383,30.890834224927982,34.34906247672241,35.60401968668533,41.39235404208953,40.26871670589884,39.65700451121696,43.5810305233325,44.605330346051645,47.147119304028166,49.12344426561451,51.835163119150586,49.842297609429096,49.388173489705444,53.7074435675185,53.38770846702857,53.62862007082336,52.8974348246736,48.58121782964466,48.37371741565228,51.93895443866551,49.98535103635791,46.154407556913284,49.10605285340911,52.13760426617668,47.61156288816113,46.876087674287156,43.405077050296825,45.86173693589155,45.251869256852515,41.122507310634994,38.20905319529463,33.98915469620763,32.41042130928764,28.31726493470635,28.932972230814173,30.666558830805133,31.123902201185718,35.4230029070705,33.38782251343983,38.620188890753,38.786133263914515,39.8386183987206,39.993920506242645,42.548128690936856,40.20298517265023,41.64190597997036,38.7113460993693,40.65997845056715,39.211583502632564,36.22568670046533,37.753441174600745,36.054032010095945,36.16735302492372,36.290990681766026,34.102280576464246,35.894010279364124,31.730130348723197,28.67676902295825,24.708560620376698,23.327617689652904,20.016723942314094,21.871065635406065,19.333121876985825,19.116493457530254,23.89902732548895,23.904283221385967,27.785782275967858,27.36874398989191,32.8170098780063,29.420594762331987,32.127162574709345,33.75040364964522,30.487087556334064,27.806267797240892,24.42934119461922,24.785786652349998,20.564042581661305,23.7144469057528,22.313918791331435,25.133839509330645,27.029523429139246,30.25925429942703,32.38343682927368,28.23727177181853,26.47009989077428,23.202573119049593,24.553405908992783,22.37771340638859,19.70934194725359,23.980763465064978,21.980375067801997,26.005739879524043,28.429255479289594,31.45130363951028,33.79718825986363,36.78181424076561,38.6291064235275,36.94331516007067,35.632046142312284,31.736621774280753,32.64469484367016,31.2167620461393,30.58416494715956,31.324621388934958,34.25348154262113,37.626147647479755,34.54622941687777,32.28106948897994,34.16692436529891,30.470830513689933,28.362304881601084,25.260791191630123,24.358917539387647,19.844538292864982,20.15615046994805,15.814388436591566,18.551689188102078,14.590282733712767,15.711471328367839,18.720521988987016,19.066806743940102,21.739768466921568,23.5147876995617,26.116033663454576,29.190309987837818,30.754303888166824,32.36656320880751,35.622669090642006,38.618227363509796,38.610893428746564,40.605418029118646,43.859690139481216,41.641014314250185,38.2295388237892,37.10145118008123,34.44427518347493,35.75256708978038,34.71010955461709,33.77634601431393,32.8217964216637,30.088817579213927,34.56037099707255,36.4107019195471,37.284910878039504,38.20726491513721,34.06640272014905,39.67839295727741,42.979946048325125,40.98700896242556,43.22196285108998,41.866932684798876,46.278199256626884,47.058319408138374,47.767418317468994,49.119763639798194,46.043809496531914,45.584464793812124,43.201553960769836,42.99730321025305,43.46347488698468,39.224501754723995,39.09765965044553,36.72083825171201,33.16488336367051,35.317151920380844,31.626241544822868,29.256883357452725,32.04932536067515,32.27598147674548,27.448917678212783,28.409966834607477,31.065674717142315,29.04347740336248,25.10056513426528,27.75783628381255,28.72968554510724,24.155471709806793,24.474013153752498,28.85534847723214,30.46589265988023,32.89448551403585,36.99128020482736,35.45993729581256,36.863101925856945,41.58425894125285,42.310284443974844,45.950150034551115,45.56725136233983,43.844288552937314,45.09840658451644,42.00061669262342,46.95867746871279,47.176565956939264,41.975967431092776,44.045247353596636,48.74968769581275,45.97853488079667,43.46542852543276,46.695703824127904,48.39141692994807,44.482363814107245,43.05310977296471,39.130754010143995,38.77261446862155,40.73852170673114,38.56118257547765,38.30414590268853,38.94018592303699,35.433495004236164,34.23458221176178,34.670346246227666,32.425069459340946,29.118316739123212,29.843712378450327,29.180278829881736,26.0343179616971,25.975771898885764,30.27738939004212,28.455825519326172,24.522943195766132,28.76405578544974,32.180001468904386,33.203549892284066,35.54439172482414,34.94392847871408,39.41343350329499,38.676910391490246,34.54888187732335,38.30878241852394,40.87274466952161,38.473384951211955,37.96078100644123,43.67819386478608,43.800974176605834,39.584905382230076,41.793790415220776,46.67708323210754,45.42423694130141,42.463333214616576,38.34598477741713,43.197232213071274,40.01616751875799,38.76872901622799,34.05465025239249,31.924187583885654,27.131220658065402,29.709352742609564,31.476538605623464,35.31631732424343,35.045332961039456,34.13354904830851,29.72596987447075,31.184887332370437,26.829136781697663,24.30609277262797,24.187088154303357,23.586644415188417,20.733231459410653,20.368017199601713,20.443651829709214,17.070469527669925,15.70961803403295,16.451359183064266,14.303579941372044,12.050594437522829,10.142192931343407,10.86569264136881,10.396655131070661],[18.63605655911956,18.867284983353613,19.717200608086248,18.716324752413602,20.285927334410964,13.774395884393762,13.834427067321235,11.891247756931858,9.563936498995687,13.54651485954851,13.100499384319768,12.276949073218855,16.909033354126016,16.842871078662267,18.97225862383885,20.492588033485266,22.591907997929848,26.54833236128383,30.926219391983324,32.635929855162615,36.558961419742225,40.20001226169502,41.886195747411,42.500631946792986,39.357214140223476,35.409510619055375,32.99344454991651,28.71279728154963,26.931913707825696,24.34256947423939,25.44607442880759,23.599533333924263,25.235547854792184,29.85824926984259,29.16481427340658,29.546394336258327,28.197191515889596,31.829896623872756,32.99987310489387,38.59322610175253,37.73535843542984,37.37265651436811,41.18549077851884,42.077761341134895,44.77820100986447,46.716674134803974,49.46214796765128,47.34291341992298,46.74218715580271,51.020071774957216,50.67797424203792,50.77573395174182,50.090483281842054,45.87521311720116,45.55230765791046,49.24610562525189,47.47138916702294,43.61756530409961,46.56876033733672,49.72328646484116,45.37912997338163,44.83952002787743,41.41402535241762,44.14824939980415,43.345219229525156,39.09046418151168,36.60792711259942,32.33403472900655,31.15405952818549,27.16363135722172,28.06222420186137,30.193706602164234,30.308823460626744,34.37741673857373,32.008390812566134,37.22594038752873,36.94751713084403,37.95933885865443,37.813454360239355,40.173997418573066,37.54987632239012,38.82315907945895,35.67610432241331,37.531686368739166,36.20922451229705,33.33036377029401,35.14885962405941,33.36112529583026,33.88907655364785,34.140509157964814,32.27026415430494,34.436455378914225,30.31477779772318,27.116717301331175,23.048869111965494,22.14611770691672,18.740805475397934,19.839386708729236,16.908562534453036,16.36276170356262,21.04191564726029,20.559125007834346,24.568328772305144,23.865136305196003,29.304460978070345,25.90290315389252,28.553896367342336,30.27634239890385,27.121374052524416,24.306133700727866,21.09322178686587,21.541625591545035,17.5049223344295,20.966286596530185,19.930618255384275,23.009850205356994,25.019220332522373,28.507788034061917,30.823393116341837,26.58777691849936,25.062092236587922,21.661546447973084,23.044549674191444,20.53011721549197,17.556627717986686,21.489480780021424,19.172975135949027,23.028051876440696,25.30524347006156,28.134634341176007,30.68138706720343,33.490043491336195,35.420615291352284,33.57148100105567,32.52911172686153,28.76893402786036,29.918853394110204,28.686109807360378,28.384686414537747,28.97353235585928,32.33267534108877,35.625413272685364,32.51940480185427,30.03806060073216,31.716890858269668,27.943139327158796,25.827185175264045,22.487595110297526,21.266473789331442,16.70791442635217,16.666455060261928,12.295991648716251,15.02539539256633,11.42932467918651,12.696558845888525,15.46690723816846,15.885594947824943,18.297027098198065,20.377512549234588,22.738674516047976,26.06478025269099,27.84683527781057,29.651627246191946,32.786713783273434,35.801885086240866,36.052797715870966,37.79128712901909,41.19350237312216,38.96376906048386,35.68051768172579,34.33803476559685,31.717327078920263,32.770376317072625,31.587050810747783,30.618102971877864,29.5206441740774,26.97821999541445,31.3257803851606,33.23826213906643,33.95903810425136,34.99865922297484,30.694033323227554,36.32025655795351,39.675334916429875,37.80743168588307,40.15021295443012,38.972748550040514,43.390388821251484,44.32607407241938,44.83469314152717,46.175549264100226,42.996179945164876,42.535336451346396,40.12758080833864,39.855084303820156,40.35045062068998,36.22510330392796,35.984666430678935,33.74981910543929,30.02390553297049,32.25669295886826,28.45059321702865,26.174026249849685,29.26439263575438,29.442146111408338,24.65145359328682,26.024022349605968,28.669397103688947,26.535724776771858,22.919434556398237,25.845775822062347,26.86326021257323,22.352642558767567,23.04924758587367,27.544670908481166,28.94219525970228,31.33192952838938,35.286635160608164,33.435665557293504,34.85628323133299,39.37949761745298,40.19731929353633,43.584343270891566,42.989233618449504,41.08053410037369,42.14343771966174,38.88302920057394,43.81086717700298,44.22174977011518,39.007586082054075,40.88225950646489,45.68503944743536,43.0654810151146,40.44291443321868,43.58162804577098,45.51237616761722,41.71627897750605,40.0792770003432,36.20451446260417,35.52164462344138,37.45849911970267,35.34833953679535,34.94019649162808,35.65804591387542,32.0135147856146,30.908709509932493,31.546396309452888,29.204092721628435,25.820615016672704,26.826515193909255,26.308733530118296,23.211460956392422,23.314931617317185,27.741240068288743,26.114317005003056,22.38831204092626,26.68529678197585,30.07583209525064,30.95265382324815,33.01571269820522,32.13399537250233,36.61381511274315,36.20237656574187,32.02063166683072,35.520701148289156,38.315836923676486,36.07799540146962,35.336786395327664,41.01678502353496,41.45937410801141,37.276628881829566,39.22005778262082,44.20390492315269,43.22912646777847,40.31070130608364,36.355169934424445,41.37950468440646,38.45384777281032,37.228647084411,32.56337909515669,30.06965774073842,25.384285910434482,28.28557025177583,29.721068528624674,33.521765797434206,32.93365024817128,31.73619273433046,27.17504698573468,28.288659846719746,23.981908151847538,21.529256414553505,20.963548317829492,20.44092634677388,17.325881095812488,17.28836331827814,17.73483673906768,14.174011518688776,12.653842537795526,14.261703803319508,12.285664821940326,9.369132664766195,6.993755815426635,7.3921698968231455,7.448828898231588],[18.35108473110125,17.969785260763793,18.241215481591713,16.506062560395936,17.681961648612507,11.342353720535362,10.795643987678936,9.359131470713816,6.261292752536665,10.186785454654833,10.22041341753991,10.203883887901107,14.068758773406621,13.733698713812894,16.470383799247205,18.016225864497656,19.586783684759336,23.707227021427833,27.891687347365224,29.69511842204999,33.59423622349134,37.25792637981656,38.85161893867187,39.30322952613015,36.16114737083232,32.18075808125102,29.78189270072221,25.491527298225876,24.006179065717824,21.73525191119437,23.25577359805571,21.653319705890382,23.786554201982508,28.243891710001176,27.190395616137092,27.135253465164887,25.88477466007681,29.035648819010262,30.031427299494727,35.755549377579875,34.59298565327028,34.344439282735344,38.26995377088907,39.05781229666313,41.63468784935052,43.49621242719608,46.30275267846966,44.32580239948977,43.658049273657255,47.98565608350209,47.801133079923304,48.01468839018411,47.41705722052718,43.06007446743208,43.01692660909481,46.70419872328035,44.75484625729394,41.03847032258514,44.16370795614005,47.13769236028953,42.70311142296649,42.37973621107693,39.11093868157619,41.682202750367686,40.65228168432107,36.445829177256165,33.89168631611626,29.728694181630946,28.376668250014863,24.578106234180677,25.36397517802641,27.71240900126605,27.988826175068603,31.90889789741334,29.72999180154485,35.18750602782037,34.677074152972914,36.04472618097866,35.7038781996564,37.8768595931876,35.356734572686214,36.390931628619256,33.48391063405344,35.13308832461807,33.50707486472652,30.766452006960957,32.54769405907252,31.17422079767716,31.501147226512074,32.28992675518466,30.28312885079936,32.701578831498516,28.660796121664315,25.65434777655776,21.29549653903829,20.77351592476348,16.967453977869397,18.4342451606357,15.513017685077175,15.94575611190211,19.68942904348677,19.41607940155968,22.827700032914766,22.186453913388387,27.378530636011728,23.849049227855613,26.84556954808643,28.299747104476786,25.12924789213049,22.46851895427696,18.943004448862368,18.879309518335848,14.5634172272179,17.711824588339073,16.538004782970376,19.49050827108301,21.594914267130488,24.98247301085606,27.479883536197136,23.381670513149693,21.724285505804538,18.261299588358135,19.472337689642444,16.940189198169648,14.029957019024224,18.16539834475298,16.442720532254064,20.175151075864182,22.735055494829723,25.661634032181183,28.14921650443077,31.206249105922417,32.82248016722356,31.139888314588926,29.708405218367776,25.771892687165145,26.936065222799872,25.401217471508463,24.921574320266654,25.50992341124039,28.761102607609764,32.09459084383244,29.05455996703823,26.59057621379676,28.433249069462395,24.778255127995752,22.548935714256476,19.430390546797017,18.44353845734745,13.94862912693852,14.605830641274347,10.714134634738743,14.531734653838974,12.302491269994189,12.869678612510588,14.698144931020499,14.195452172686764,16.577939465902126,18.15538030548065,20.416039649358762,23.22170108543896,24.953758228742615,26.416899976533486,29.72195677113455,32.62101662950198,32.69429104511891,34.617110074708606,37.943494748198574,35.80484672582236,32.40816286634568,31.18729053505024,28.4755745876366,29.724789076504056,28.73479046809377,27.937337249186065,27.20168642385187,24.630962539242674,29.316369141319974,30.8027301524132,31.671907424670316,32.306758776707376,28.23692432063129,33.80710969154622,37.056064797576035,34.993420582223116,37.259464806315634,35.97854634507091,40.381581525352914,41.123670790810856,41.75908994770709,43.099723034654325,40.02612956514609,39.6085093077935,37.28363500050019,37.18070419909963,37.823345641034614,33.6633234264336,33.73659149808153,31.671993613837618,28.08002702794241,30.747291037709747,27.16185577953268,24.522650166475277,27.731506188994448,28.41356376753426,23.61595514686459,24.517778489663673,27.656439827578765,26.134909100819822,22.17370024802635,25.108072177920302,26.627708371890193,22.2981510299314,22.559654450411745,27.268594599347878,28.244136996161945,31.17728237811445,34.378043465274395,32.61914620779806,34.42755353747825,38.83503356847022,40.08964051799774,43.144382456177794,42.670244746555035,40.507856783978966,41.5410663926706,38.11225592018597,42.901654552108255,43.32173647782701,37.8224417369084,39.616509138441714,44.349942772616686,41.599656006966995,38.79924825004834,41.78828613170903,43.70523455312282,39.89503657619573,37.92509553317485,34.36783967401677,33.72356706456717,35.95247637700833,34.23904467602537,34.01221985903379,35.21131146909466,31.385407094354285,29.970239868579267,31.217145412965827,29.102562295013122,25.277359564581374,26.37761628105972,26.50208639273561,23.555277989813067,23.270480822877385,28.013286043498702,26.857307474738867,23.057238413070053,27.05487587372342,30.613575495450096,31.06593750299643,33.04904917009375,31.829625627107443,36.26294235835773,35.98829592167382,31.426025774185483,34.729585867421214,37.590890892872615,35.29185187723561,34.11779528009738,39.913450477429876,40.407153412228325,35.935411784316095,37.64678648147874,42.80860378267478,41.845578708837536,38.735236988604846,34.721583971281376,39.76140594898028,36.7848111075211,35.97716069761172,31.106538885857862,28.703978533645163,24.008443332622154,26.60519038890703,27.828053547744272,31.541732818908308,30.797788106306662,29.87645620387058,25.010806876929284,26.123792775913735,21.52056862128792,19.643516603330646,19.4994332740607,19.626610387658044,16.393474605007576,15.621286152912775,16.89552968664908,13.90641175111824,11.008930079084994,13.179829218577135,12.604759419568367,9.885182838538947,7.71782799678326,7.521318614069903,8.518998117567925],[14.724401669857235,13.93245838984752,13.769898912736817,12.890235998243305,13.932701004582029,7.4070993201991975,8.142887615745424,7.188716641473556,6.57612663423556,11.286196704941206,12.699347800195929,12.56637626845261,15.370699305493215,15.794397240098604,19.069403102593476,20.012690124348705,20.988006120769132,25.48100278583763,29.57925820687832,31.009823429322314,35.055348481791945,38.423727706229016,40.15740013018834,40.338271636594435,36.95608848628112,33.17940233651915,30.397287615633335,26.159499449511692,25.0784509649623,22.80967483072628,25.585559878929207,23.28939996881799,25.96960870184811,30.44914900150141,28.817354176802638,28.616280984273207,26.71497862560808,29.653752146323505,30.1699347970946,35.54996213002334,34.45226441936299,34.96688793299861,38.817155226296045,39.14349544639087,41.76784293861979,43.307986605750976,46.309404461604466,44.40759918338356,43.21836448390941,47.50919158965544,47.623406364853174,47.65743296452004,47.32460083711486,43.03063744664298,43.08514717029304,47.040523301155154,45.27687159781275,41.697301571617224,44.955686380634106,47.962262824485215,43.78347478665073,43.952189939185956,40.89895176581836,43.663385066604086,42.20155143759769,37.927756685066036,35.8628172263456,31.825071981252286,30.69785414024435,27.269548600712824,28.096697986866157,30.817781137682758,31.0709822386964,34.640253616716,32.370680830359696,37.87730340937064,36.743483336757066,38.23823003943838,37.38859566981283,39.10956011713695,36.18575021109017,36.65811048166424,33.44790662448384,34.589541290516124,32.94854981225856,30.77415928625205,33.1651455499126,31.989658487265242,32.91728583706191,34.19578653464463,32.59220055651362,35.50503290798925,31.603663855320548,28.564517773081697,24.127853692767413,24.206199281141462,20.330492462240375,21.020873540319684,17.67192770573965,17.473144446464318,20.806167355049165,19.172933216257203,22.743817935081307,20.892831576309714,25.629404057294085,21.47755567844225,23.967318499903012,25.074655820335746,21.52759814001973,19.25887845407967,15.511479500838895,16.44879373205572,12.621491316599867,16.208193950605313,16.448070035549193,19.231969789713308,22.026764451692834,25.25265468056956,28.577363856123167,24.815510994502556,23.126697534233315,19.513969631087463,19.824120291901515,16.694919306042962,13.068702625943882,16.145776387049565,13.010428280538456,17.253741036771913,19.429023050575104,22.767442938199885,24.72390601835701,27.75540007182258,29.756193161250312,28.40657845191036,26.988601732059287,23.315052488543696,23.914755081788165,23.169812441148153,23.264229109578565,24.297907479192276,28.051712896892386,31.695516461593982,29.07717847779644,26.238018920198755,28.196137501607513,24.779952920991544,22.218397982059784,19.140680025340366,17.44906960857981,13.059353158906356,12.764163481469964,9.830080294055271,13.494812542869399,12.167903668345541,13.86048842487428,15.05970241408147,14.636448684404018,15.78173796989663,18.127012555324953,18.98914249110987,21.78242368956877,24.462112180901986,25.430988978081622,28.917893818566803,31.222881845865324,31.07352311988697,32.51665359316449,35.76613910961795,33.227545561901735,30.109035850292095,28.762626336403045,26.514875517360977,27.976067034827917,27.200466231303462,26.85252651354147,26.169261875773344,24.366559427151387,28.86394198118239,30.10195498290986,30.519351223872274,30.84170835621935,26.26982390789254,31.593195506860038,34.811019597418216,32.940340192387595,35.855843600745295,35.09792018776504,39.41341761220328,39.99983952429475,40.161359698218696,41.17006835300154,37.970848115546175,37.099672926041194,34.506359563458275,34.092735628576186,34.36207896824176,30.09368709697581,29.89176455532616,27.515959632065915,23.990514026178843,26.34620204059851,22.832302714297963,20.188194975248347,23.154044088352954,23.768268614477293,18.941545441902754,19.873424800288866,22.903390818897783,21.44925790280781,17.441273684126443,20.44129010368312,22.00954706645757,17.783649355130954,18.166459368907223,22.89041102603248,23.739485380021687,26.651219462500595,29.779769265547124,27.90007356029324,29.71865755573692,34.08890297348745,35.43656878058119,38.42249236341684,38.03004337371171,35.88780401991544,37.05224467858421,33.748144492544,38.554198784327866,38.78185120290983,33.28910919829538,35.28096201583736,39.92736823416131,37.090149248717594,34.427083597949576,37.57936336299092,39.32267676520259,35.463852923525664,33.84201978546354,30.01609412869983,29.693075094906266,31.831452199025897,29.95392439265517,30.024617989426023,31.266528804261043,27.691734193782423,25.89723486371002,27.041727225896818,25.298167579170805,21.300882134582544,21.99319530693504,22.367027495053318,19.503644114312298,18.796400085991564,23.653498932660355,22.775389726683702,18.87531567997865,22.63017952414876,26.272324128803685,26.51091312087785,28.533656889779895,27.320001628442448,31.729918873053276,31.345742813020774,26.702984569452855,30.08026225467459,32.86288794334333,30.53442871782121,29.423690359052607,35.22001643133215,35.6671512004213,31.25563877943333,33.049529215594724,38.14715588118192,37.198327111863016,34.170245584414154,30.234374964392046,35.33541909936646,32.531595208227145,31.549104222224546,26.812987252999978,24.17125543913018,19.558588035991697,22.511011231514207,23.62462998520215,27.363011518925926,26.58989006955494,25.407781603615266,20.75036561952642,21.98233289713343,17.670557120593795,15.209408662258987,15.273790757008278,15.275619627498122,12.580626056025553,11.271208945604526,12.181982123632743,9.530663773580912,6.609980827973602,8.513244197425548,8.511156207091744,6.290252609386468,5.421326576785762,6.6499058876004895,9.265596487888972],[14.850807248741457,13.443176661360653,12.792885761159761,10.604596407749614,11.521214684043693,5.295511090610931,5.560779287991799,6.600652045806316,5.371361243355443,9.35533128481566,11.569999972242753,12.55992083196922,14.096678232789168,13.947886614313873,17.944196417578198,18.97399148154021,19.142009776124574,23.71821589648464,27.389181191642592,29.03668524973723,32.95451370539865,36.37536283425757,37.904977238799,37.83184213635607,34.527447242259434,30.694977938422852,28.034049140162004,23.836799335431333,23.277354090253947,21.563477147630028,24.675172546161804,22.8562909943677,25.95672607432591,30.148247895278633,28.209984595859634,27.464685612775007,25.796838205785733,28.0071597433425,28.25965629917308,33.797488316245285,32.20986288085761,32.878341110728485,36.88196021898708,37.064691953511705,39.46297107358893,40.86850604454065,43.954357694846586,42.29991497138992,41.016223372065376,45.369700647698856,45.72809851550054,45.938133287926085,45.726757064321355,41.24603526392772,41.70123015917081,45.608852497143,43.595192458947004,40.22685882308978,43.68780985711714,46.419999917957014,42.11261970520455,42.513682863069,39.66598839237509,42.1356926632648,40.44464188319453,36.29936852749888,34.05141250979806,30.22560973457555,28.770157381812947,25.633873656988452,26.198608620839636,29.024757280541753,29.600009616380756,33.00204254457688,31.10075256894983,36.830219977856146,35.55146713716613,37.46083916821084,36.46678498815729,37.987579349885046,35.2745759610841,35.46483197643212,32.61963799076812,33.47868453899433,31.42174034724798,29.474145596444014,31.755167287464893,31.14265864050277,31.729486806918874,33.604331361255184,31.785716950593805,34.847720822709796,31.07441430953507,28.329560901029662,23.7022293869016,24.049358476020487,19.90265853334189,21.143451762598342,18.02091224133324,18.818901565618514,21.177815840371057,19.897636027914803,22.67710996589367,20.93080879873231,25.2111557245364,20.888867479750107,23.72117969273369,24.360504784613433,20.726647291016544,18.861194904522662,14.646719366755843,14.963202686265477,10.805289866682442,13.73232692458353,13.956664042701227,16.305111055894216,19.34546952309715,22.22444755160192,25.871470328550796,22.445272201204137,20.47590068988524,16.864207787547574,16.629465061215736,13.486786695814518,9.881782696123958,13.200080036356717,10.867236864732725,15.15494906299642,17.746611663966167,21.389491226096542,23.020833384622296,26.466831677047914,28.056957780891054,27.085884079512542,25.0077332779498,21.076998598029405,21.415558486108598,20.294293430552145,20.069846845981125,21.320467573196087,24.80705968526895,28.629518998895254,26.210339066875786,23.433183644904474,25.742926122809507,22.602956498064618,19.84235478643538,17.261234639623634,15.953100715486984,11.87162478275071,12.574609868962034,10.662127101295555,15.156510963689762,14.896424311033465,15.902821407510233,16.31966058917513,14.962848670245071,15.987910103358551,17.60104306845615,18.198117707288294,20.09489804258833,22.74455513100689,23.0380848222233,26.83431721954116,28.847879402686054,28.272665863099046,30.005223281451713,33.057323585521644,30.5644832283095,27.27041902531603,26.186906190553685,23.894010401200166,25.813465348612304,25.420633720680794,25.40007012462125,25.26176624140171,23.479009152427594,28.338700545159732,28.9880013944215,29.58888418226994,29.29667690098104,25.070490205168095,30.22120899702033,33.25103832029505,31.10822525238538,33.96968986286481,33.08618571746861,37.34533468128186,37.58462841628083,37.9226327994956,38.87637738359736,35.85100110668112,34.95698482220187,32.44203322510267,32.234286628764956,32.61670551750404,28.231660065776595,28.466794101966293,26.200144523721043,23.000805948452726,25.81351606740242,22.721222759763524,19.587114914198978,22.448155746579882,23.744103657719833,18.99328646911986,19.002675279950545,22.65467990482229,22.096263175454236,17.55934697626641,20.347627399358192,22.51655228968049,18.61391347788703,18.22453848458655,23.06712074630776,23.450899443398985,27.031013024198668,29.233659077759192,27.64178573460803,29.922042625921677,34.19907480683832,36.028887548461846,38.705541238643995,38.5732191533894,36.2395394888318,37.46692786767769,34.08823959470821,38.69932530809924,38.81747374882422,33.029881118005996,35.029292142818775,39.4943853707485,36.424319329974644,33.629747752824265,36.645346596710766,38.212994682193795,34.28581155303942,32.40508921126549,28.948190296726594,28.907921183451663,31.400181764545877,29.983078515924962,30.38843197223331,32.14727541562457,28.508446739562896,26.283733749983607,28.026138252102733,26.663162542120535,22.270970395995114,22.87069704061625,23.939583006307835,21.312453389507628,20.06561014070405,25.1031579510963,24.702909142126703,20.7275475894966,23.986904320583918,27.7666482071675,27.558926175033903,29.593923318623503,28.139605740619924,32.4205789133057,32.03238279235856,27.008305081593264,30.23709921479691,32.942342994039535,30.47522627560531,28.95342232292835,34.866550828887256,35.20278171989589,30.443370665478025,32.077791047557476,37.31452167651985,36.24394075704368,32.97083339180377,28.90041242736916,33.923001410535164,30.9524789919264,30.485554178655196,25.49163269362116,23.15462316538714,18.52785606355671,20.892934075565407,21.8696635078072,25.506407419161295,24.691000875700187,24.01927959543359,19.082257847167803,20.54635601731168,15.856056914095111,14.15611761399397,15.189680788013645,16.011266498073418,13.54772737756773,10.972002525217336,12.746193456187022,11.26310643149883,6.839022382963241,8.65787732804997,10.573309078823067,9.252290071172723,8.801657482008139,9.463068040146183,12.05244333821836],[16.523106709719805,14.530040247604655,13.22674284033149,9.600862699146031,9.85494050246465,5.52329393374727,4.320089832558782,7.6251291373131425,6.106846602691564,7.9940802052548,11.044174073978834,13.184509020583848,13.064834523301169,12.262521030655885,16.93209401004681,17.973492244294338,17.131453099052045,21.69557857872342,24.79787339557746,26.65259040869867,30.385316650611266,33.82606688607644,35.12193890393625,34.762666311484075,31.557504220788516,27.697573395648146,25.19416495091437,21.104046230933513,21.192011136816703,20.191104491472622,23.65108965969512,22.403485978453844,25.91190409720723,29.694403622636013,27.426972351268876,26.06631515875546,24.69836203261518,26.011725799928737,25.954472597895034,31.623317358582323,29.480303381754776,30.307179279076507,34.452689181689536,34.48064660647456,36.607482630290214,37.86791155123087,41.02638641129054,39.65070676586287,38.29026342522738,42.692210485573995,43.30697574296002,43.722262412020534,43.6389366018417,38.97161809195999,39.875101017330756,43.694526015607096,41.40740390746447,38.30024948954426,41.963955590804474,44.368509334013304,39.94405038503829,40.610891993439665,38.02241463281763,40.15125762776534,38.2001918852265,34.231886938274684,31.821052344019577,28.289925182521994,26.506765764759322,23.791865798135756,24.064839519892256,27.01702775803736,27.91453900511293,31.040081243842515,29.562445695232345,35.470843116572276,34.00640699156884,36.36710177181746,35.20444612229517,36.47488927931719,34.03113780346242,33.90414549428955,31.52258833555085,32.06634236033817,29.55206392402502,27.87341071284097,29.982189967798575,30.027552889255503,30.217420459852107,32.757991961671806,30.738080526951485,33.95373899798728,30.389707400065582,28.02161568935237,23.288159458299695,23.97705694639852,19.667038674478782,21.40844173922319,18.64385940641703,20.445865459563393,21.677422957160367,20.846448811302857,22.655795936416823,21.142156099288357,24.8220383349606,20.487801148771123,23.69192963578645,23.83939893242224,20.286533911791135,18.874462221886976,14.390157081186706,13.76808345790862,9.465059472177236,11.17406182987757,11.28800010934623,12.95399065533263,16.251312130634634,18.668157289921627,22.68016895971635,19.713187676669712,17.45603598270362,13.926828844906986,12.955534862279375,9.818855220929596,6.3729819674450745,10.06905991671952,9.387065863976341,13.258974750900741,16.329470165592337,20.123775007103763,21.440061562446402,25.28920690705539,26.304306560532133,25.729005337072557,22.917385144777633,18.71325097585493,18.857050401798656,17.135967266044844,16.44406898695196,17.88486106527089,21.008792849765804,24.99684615516254,22.803656257236366,20.13190323679075,22.833377068090932,20.073181986259147,17.131314328805626,15.269349928631181,14.54771578185239,11.161756088740994,13.035801417928015,12.309961890179165,17.285098586325546,18.005161077234213,18.32919051642494,17.959987065659426,15.70850962013384,16.573477997843746,17.246773496204675,17.574087939748537,18.31216231344354,20.791913916728912,20.278161065564426,24.38017266954245,26.069900323532465,25.030469078506375,27.14061346061465,29.96527100138708,27.610144438330735,24.096018622267117,23.337859225387234,20.944949892022628,23.358572541529856,23.408670851298677,23.743674473821947,24.248784059641626,22.49408057024102,27.67615038318638,27.642814241046135,28.47518235759536,27.494926049542816,23.797731880306078,28.685394771562287,31.46421120273475,29.00865219424275,31.71158868270935,30.651452743145892,34.81499323402895,34.67502774588516,35.25158488820678,36.17555104525366,33.37919570948794,32.52926478209415,30.169092757903755,30.252458443727,30.837290953575753,26.410607162426015,27.199828541468676,25.19933212426752,22.40807569656213,25.761274942625132,23.1799483617185,19.61930979858619,22.39161954071112,24.41387588807709,19.914827558138487,19.01648715673824,23.250780219958003,23.61712733255797,18.804943291529923,21.317025427414592,24.04181570957118,20.59515472122493,19.539348715107593,24.344384332224898,24.18655960361293,28.373475407688428,29.503991981496185,28.19681617623166,30.934613745101277,34.99868306110514,37.33090915198778,39.59346815549042,39.67865888016611,37.11520618302209,38.33102184100972,34.85206978245758,39.18797721486331,39.25979876488926,33.20619181666218,35.10883179824565,39.35879521252621,36.10719015995212,33.14427165710305,35.916083070315096,37.35207376322419,33.426294816418675,31.14530323882031,28.23919546365856,28.391859093298525,31.26169170798221,30.42761015960973,31.11471656603101,33.419436051777666,29.700044293983492,27.12901080205929,29.53718304807533,28.516229915535362,23.816027543666642,24.43108613724902,26.172987293577208,23.827793238924396,22.19319709582528,27.302994472402023,27.378122645199266,23.470793358327423,26.23677737557965,30.062465666622256,29.409173947298903,31.34969029944009,29.60072384861261,33.68670001104991,33.39556426366195,28.052209667827196,30.98219464811016,33.632880937256786,31.09980646033715,29.07625434916963,35.01828768815155,35.31834995695066,30.235786858064706,31.571386727164082,36.937479229420596,35.81284732434706,32.298030422561816,28.17178810753222,33.05679936605799,29.97910957182761,30.16084768537629,24.97055562076751,22.991147822097062,18.551522832218133,20.14980856920621,20.831536858495227,24.221775838621703,23.276349849527843,23.208930947462378,17.996204046682564,19.563851778128665,14.541499797107798,14.059676780312378,15.954325206249985,17.624691505395116,15.380787383390395,11.906818203356693,14.564596253911313,14.100913621527111,8.924493353598825,10.700552326165841,13.890087469551068,13.023358139800587,12.682911102045026,12.874858207613924,15.365095088618828],[12.459996278514593,10.386708596227194,10.02014841049659,5.352756454562566,8.674387165397894,5.764938758015823,7.944308594685555,11.73754321562005,11.04545586927532,13.24384930312558,16.167359425319276,18.30453399931881,18.337872094392452,17.226532662352202,22.064718908555363,23.22141406416238,22.05339562558754,26.54118200688596,29.163540085078495,31.20476482826115,34.745768802240406,38.15133996848508,39.218028272512754,38.4991992089725,35.42588053020356,31.613566024679535,29.26439176964759,25.37595447017622,25.98679466526718,25.279587786948966,28.859645497575766,27.681492935466782,31.212099125533268,34.991331070430235,32.655404261962616,31.14966589122395,29.733417237101108,30.666652831687554,30.25379820138439,35.72894710519208,33.257821616558665,34.53319463814913,38.70838390573393,38.419159516616865,40.29595764380195,41.202379392287675,44.49915768007976,43.46178431500855,41.731792711210474,46.099013141083034,47.11605878037257,47.55639735636055,47.71421053048003,43.00663203999651,44.204926493298075,48.08758330812981,45.74568561224874,42.860383438721264,46.64284425413464,48.87142208494953,44.48654627271569,45.39686386205179,42.97286057958874,44.90483386029854,42.77705281843022,38.948424658038,36.43053480240605,33.11402989541255,31.00254716619331,28.48733446215647,28.419445174225583,31.175784352798047,32.51905782598729,35.63253840136686,34.504235557510995,40.48946370107537,39.02362066631119,41.541171520787955,40.301976103681035,41.40212144929344,38.94653831030205,38.50494730163292,36.13521949439983,36.29823132576563,33.63373257533685,32.41388907036601,34.68521083881275,35.00083472151638,35.221613540047315,37.98633202989079,35.93251215643418,39.12520637003766,35.57802524785838,33.266938480458855,28.524441072255808,29.062051898643876,24.71847673412525,26.657670375681974,23.829688355310477,25.21939935290076,26.77934374295662,25.412121213719534,27.43177241959941,25.258590840748845,28.483899747655382,23.677212606052752,26.251782889435017,25.795060781522835,21.73198311055213,21.16873440190601,16.463418699476723,16.94075622269189,13.425941938222756,14.797514382425007,15.791094952987441,16.611240729452305,20.259581547362522,21.84283936546709,26.39121584965289,24.028094739057845,21.4113146460696,18.105372269492854,16.067346876066704,13.221449826540583,10.197387422227827,12.456899229998841,10.6788328083995,15.221445761589662,17.832779468927296,22.35039389702742,22.402002796952594,26.47818412537979,27.749976900770516,27.994340010191873,24.7290680936694,20.80982018955391,19.485736384228147,18.555054661139692,17.93390716345544,20.350143965001806,23.052692543331673,27.526959487462705,26.036195852269238,23.421113769414088,26.547481636325752,24.30590765840821,21.171177736686882,19.831850352028727,18.928318811612847,15.885269002118275,17.060072500777714,16.597996977819047,21.100367756773604,21.367100500395217,22.534039797873564,22.51601925207711,20.638932751841104,21.06135450522834,22.159043920311486,21.679329053530395,22.050648755972333,25.067723932415596,23.69302715147908,28.057173136521918,28.899477963487143,27.03470911808392,28.967001191094877,31.259504620632562,28.41756251585215,25.114904945140196,24.728055846295746,23.034256412686606,26.182413829167604,26.77316581911974,27.662117111784163,28.391585037428364,27.145570826887322,32.18030066203954,31.862225046310638,32.42337555742444,30.94277217411327,27.074754143977202,31.464983026080972,34.01512098948617,31.624908243687468,34.86185463585641,34.1476143931926,38.08951039818862,37.4576584797408,37.79216207882165,38.273150225912175,35.58969780607046,34.15700582338681,31.554855297804487,31.377531964167186,31.38642718837458,26.66564027688491,27.371810026803,24.700335794009263,22.56871096530439,25.285307660768513,23.22571239126679,19.536004448216033,21.12200333981382,23.299270759910083,18.879319207790434,16.724235930461727,20.992211890136467,22.00942217967919,16.37105745238972,18.212816575415555,21.180867669000307,17.96367045234484,15.876931693626585,20.542695812188605,20.366137678626384,24.96271102104588,25.817180500613677,25.13095536296173,28.034915510511265,32.37013163220473,34.815154802666,37.33288436187338,37.99182421725183,35.762267394794755,37.50086432335602,34.512185264036845,38.82008857726136,38.25928370877479,32.25621443695948,34.76659978608062,38.60671012743263,34.92867887952263,32.3876196627553,35.490595359358814,36.14349468580998,31.9461992576386,30.574296678835534,27.33917921851006,28.6823518355127,31.474493268381593,30.3980518501247,31.774851426586757,34.000959034347204,30.885424179044357,27.7235335987584,29.654824179232754,29.298775696235207,24.6382207590304,24.224453611581843,26.05889352745521,23.814224789505744,21.368329282311706,26.29841460795763,26.48126835241226,22.17239914095414,24.341073563854614,28.304976181101637,27.50372458065729,29.97149612245871,28.708495036653453,32.64464593170603,31.62016870098507,26.225019504504072,29.669550089173473,31.70479157044848,28.79378701705333,27.20865016980708,33.191203995055126,32.74986234226317,27.58217267476416,29.535026270755505,34.60523225340697,32.89649643878102,29.319424883991992,24.89318745293377,29.488043798004572,26.014999428166416,26.133562185545635,20.82456281412037,19.456148368786092,14.840601817864258,15.860978519312614,17.157879634399922,20.69240700925316,20.465898325118946,20.909314515058266,16.43999453533714,19.105345782023555,14.646719791554698,13.34925589989451,16.698511539584693,18.022626417895843,17.05976281341362,12.631068109203456,13.82479291819438,14.428766741163066,10.342359420578925,9.102043453053538,12.994190256444194,13.741747154342963,14.512440812450192,15.844001890486823,18.420986421022306],[17.151852116905665,14.66084017920854,13.470780462694057,7.829283968263699,9.452750601707946,10.25329128740129,10.74599800066599,15.267175344909074,14.369548694124044,14.58637198274125,17.811966336634185,20.865025623987403,19.264202965871437,17.443201553725736,22.606056835151595,23.7319628739356,21.326108228320983,25.42449359841809,26.955288414921043,29.273665384025062,32.342570504853114,35.675607580589656,36.29360988679791,35.07492943422414,32.29525615627048,28.5782872224568,26.6503684169959,23.208093935806215,24.840359055224322,25.200547550368547,29.002280190166715,28.628727415682288,32.50767342546802,35.6636025863537,32.991427812181286,30.714314921823405,29.781224347419098,29.388077930164272,28.495342768461725,33.93251704989799,30.619136314607967,32.15101637120893,36.42247484476638,35.861372489622205,37.19244421923779,37.78086425789061,41.14653209314478,40.64385425167231,38.788275525082774,43.13962559760367,44.600116419559036,45.366735446487404,45.74299176654145,40.83814629002009,42.7163827820001,46.398138029973815,43.67308173981191,41.25909289079678,45.27813655642853,46.95559921600394,42.47279633156546,43.77246001855805,41.792365961452745,43.14310913207162,40.66871485786085,37.23239205857977,34.50603572109276,31.7758638870182,29.199173802265587,27.443672003050953,26.887707114362435,29.639610635424106,31.478182803222875,34.090263322709646,33.6739546149248,39.74079010672055,38.080352086001035,41.18105064776808,39.75099635424107,40.46973312492508,38.47142702287661,37.58002187787326,35.94374087758307,35.632118258217396,32.37666048597147,31.635166252691,33.57347511774944,34.8246248642547,34.46850649610173,38.06861936979388,35.779938027366285,39.06912444879951,35.892082083119675,34.1421547332629,29.434079629227377,30.33161486061319,25.978982718375235,28.450969387713165,26.130668894618267,28.53062741003279,28.874009163198863,28.071232974170822,28.930314500775776,27.12310229960025,29.463161888515614,24.857863981157998,27.751864931604977,26.628141237547133,22.871280972907336,22.98030655826506,18.322191643959172,17.677558729794356,14.64012860715637,14.070941502689859,14.929920646092203,14.218034954661483,17.899092347797236,18.23157338687595,23.226492858115748,21.92917086173452,18.974733005633635,16.275602280694155,12.862806660785745,10.827453754444745,9.432986158317606,10.845299147483288,11.84298878409591,15.001860732607181,17.91454410750708,22.360865229805853,21.744972824391006,26.248196626611513,26.590030338895822,27.547236281201705,23.237467943514492,19.20525613372895,17.270440033215984,15.492387877123083,13.945572777414094,16.923350535429094,18.515117644870898,23.25293007448118,22.44723222555639,20.229981537653043,23.927592766090953,22.554661506509518,19.380495249282795,19.35372903717342,19.307431943205618,17.453665437920996,19.66344457003997,20.22719964095657,25.071250124862086,26.220765167479303,26.682617736651572,25.9297930471059,23.24415618596996,23.520193259509774,23.538263970566206,22.755138190530232,21.538045932891247,24.146830214157493,21.472597887129012,26.101895816927755,26.219359167561624,23.42256119211503,25.93115616410858,27.61023855624064,25.005229279447136,21.4597977205539,21.816699594218353,20.21879099145803,24.18901241823466,25.537213788725648,26.97374282307198,28.58266228142056,27.46254806448456,32.69933007942631,31.450747786041493,32.29570720851406,29.830889378562844,26.901622994569834,30.65797933730062,32.705821040739586,29.91568849016133,32.85829512468933,31.92765908479787,35.566762100913714,34.233594041717396,34.9328653219335,35.281467960743456,33.07417171015005,31.665691805632957,29.370121017509565,29.645931172170194,29.902865659810406,25.249680061304634,26.8308899741661,24.62747985464206,23.325638778320716,26.63770736267496,25.421006197593847,21.37777719964079,22.646618056868338,25.74334486886133,21.927476490152802,18.633358853402807,23.424985014006044,25.64629046381132,20.045764381220806,21.351862901698993,24.881137748045276,22.44291890170984,19.697510540499447,23.93050203160403,22.9715112945452,28.20696427066988,27.393467025200337,27.230246381363273,30.695497180877727,34.58462397307235,37.699575906006075,39.57318524079167,40.55296826884085,38.05815018517966,39.761914931962316,36.71513817309934,40.53969501429982,39.8932604295706,33.6516354879357,35.98903130388947,39.39247833265719,35.48883316498539,32.794406737641026,35.46450296121317,35.81151449590232,31.69558819530654,29.82356134927636,27.56125419348523,29.263539139358535,32.50659509156409,32.2815911030679,34.023385778731274,36.911871324319584,33.765009986673455,30.250598300654765,32.97593405878985,33.03304050581974,28.132879101846854,27.78243813488518,30.356079921331453,28.481022911795698,25.7380336859237,30.592039586656483,31.3245938962746,27.240136631214604,28.795555658716438,32.68620137098991,31.34608684795402,33.612558843555746,31.999427262167337,35.56579154368616,34.6886948681928,29.034705456829055,31.949158852640878,33.8162171259516,30.886556393007787,28.63989610878672,34.46261037044804,33.92161847489553,28.413142324144122,29.87296051301918,34.96782068795434,33.15336233268569,29.275961292350043,24.889225472803208,29.01801299150949,25.41012323462608,26.67103313986245,21.28111641098524,20.717429856727385,16.841857858108156,16.288003499325274,17.011729001332352,19.836985119714818,19.52690861359342,21.128791894568497,16.683944771369667,19.44127425978688,15.038770968036284,15.623790580299369,19.709144561622505,21.899579813637864,21.11002358264279,16.2292129240717,18.298062119506664,19.664357146760306,15.068002503838185,14.440562880598732,18.89820704338299,19.60202796832363,20.158949456891033,20.930444172150484,23.427537577388637],[14.61884262909582,12.683532751422229,12.937454062302995,7.342265772053321,11.42251555153542,11.442064798232478,13.174154443088794,17.432625350395973,16.323694126339802,17.36035973664001,20.256066212782073,23.165268917942104,22.413350149891905,20.386517888291113,25.52161427279519,26.938520289638728,24.921271166277993,29.03551388634418,30.648374077940378,33.17644392863453,36.216552066831674,39.683209849261,40.21397046620662,39.000643839287065,36.336571354353744,32.52890899913341,30.735521494324086,27.233607746044335,28.689044315157503,28.849784354662255,32.283112367340486,31.907884914389832,35.569083954843066,38.944089624312085,36.505754367863,34.41987070831171,33.50496675641791,33.41363136102762,32.640554159472906,38.12159215269801,34.84109946769683,36.277737447873186,40.578797562036385,40.07980882077342,41.39752767988004,41.97170889069739,45.32943917566786,44.86895868715068,43.00701508297684,47.35360896450051,48.83544388470607,49.586545361416626,49.95287573611622,45.04593992692282,46.87659229485214,50.57392599474946,47.85183037658821,45.379676321641426,49.36822023873079,51.08901662099222,46.547320369166066,47.70315055540912,45.609463621885986,46.92321899687022,44.59713590637759,41.153630908372506,38.203571045478824,35.37740048326291,32.60403016352834,30.597393069308044,29.921560653458346,32.3859680450829,34.43810471810655,37.34111251194547,37.00173084596531,43.11233636180458,41.74372732100084,44.74188504980448,43.501064016398104,44.40058773030371,42.382742476180354,41.63664326041979,39.85146118920322,39.64350525103941,36.491703060497805,35.65700354610109,37.60400903145021,38.647666446178164,38.28536059246563,41.61353814584065,39.21450647563517,42.29884261141362,38.95607158878542,37.079015066240515,32.337722251073146,32.854880251376656,28.46295014728402,31.157194482440918,28.717628835916315,30.743723688319697,31.807301835593083,30.84608414557334,32.24591126147007,30.255142380537592,32.87230646420644,28.07327031956407,30.656164353047995,29.55987400538746,25.516598196684072,25.68837692468388,20.96378858168916,21.039182233460565,17.90388075120771,17.952690052214646,18.751156427724837,18.31151663288883,21.892007081156375,22.214032108626746,27.02040054652391,25.62184738835037,22.528670290845255,19.785827822595987,16.641845881880453,14.769712603203248,13.1284442376689,14.797227035483981,14.59555770016138,18.38333852684787,20.99762386281476,25.690316561745632,24.761015480096653,29.19435580569383,29.909584742063483,31.001982687262824,26.828999308135682,22.973406431132133,20.60599529945729,19.385233038124667,18.002770812010347,21.117880277373025,22.512741774119213,27.28750889798805,26.55981126661987,24.431451255486746,28.141021405520895,26.671880067812015,23.5086796895966,23.222609556536373,22.959446524986546,20.631726159944627,22.393911764680816,22.374024613517122,27.03850271844588,27.4184897060569,28.381094780345148,28.20841236698037,25.938323347760107,26.37432859695473,26.844759668771562,26.176076910543205,25.419539832620373,28.176413994951236,25.666883856048926,30.286402802457193,30.35445039914084,27.440672799857783,29.80007649802793,31.30264498844473,28.476657526785928,25.12594634575805,25.544284868011527,24.21851581463109,28.226729447437773,29.539464191725507,30.941009216974816,32.33858527936145,31.194678837327857,36.39680847871732,35.392100626353816,36.128049957600076,33.81915674463392,30.597971095370667,34.381717842494915,36.47129162902846,33.80564846266836,36.94824876492543,36.12029522365502,39.740865846018764,38.366258906155444,38.96578227988044,39.173435360048906,36.9554599331575,35.31593549974138,32.87184425624101,32.92321576369659,32.81960182921265,28.042574094887726,29.330207540070443,26.63185293644221,25.483358607670226,28.180380969685146,26.98017675516504,23.07171119845183,23.706929848270676,26.512543894786155,22.609893556059042,18.965262143835037,23.435419500847612,25.600234153169595,19.57750944451876,20.45337090292031,23.82893268060776,21.313481995962594,18.02854677442713,22.080402462211076,21.462192828056086,26.71538585110628,26.25901815262838,26.556137905421775,29.892340363841786,34.12757182138177,37.02397591424412,39.3541890211162,40.65443052160906,38.53416028118619,40.596006058548156,37.913008705399335,41.8686121548954,40.84194859621642,34.78124306222541,37.545180497274075,40.796312378219696,36.70771965924092,34.37818336022996,37.362375277800304,37.258397241661896,32.969191160193844,31.886044314846448,29.173640400122732,31.46773314343679,34.488494064710515,33.827752651149915,35.7930824967979,38.34670028687937,35.53443592906549,31.90664998228963,34.01390594343947,34.223072122787386,29.50195075188619,28.602805616765135,30.8276844551298,28.835865128628793,25.852100966901453,30.525147864754278,31.00599380838687,26.611191598205334,28.05151631454586,31.998707880404076,30.850281158152224,33.56092389441751,32.45936290989737,36.03644810820098,34.5844902890876,29.096075063646772,32.5364168772958,33.98535437990228,30.807430840253463,29.1728032147284,34.99231251891051,33.88404388199909,28.489514734605642,30.583318841791858,35.358950726102236,33.07871222730669,29.27350594241815,24.659047724051806,28.514142018396434,24.522410546695173,25.449832869683046,20.043608671866195,20.018574344080047,15.930178510922817,15.020173845205047,16.597755390840273,19.618524107560987,20.084518454640932,21.84138323206894,18.115658141422532,21.462821377158136,17.477642295439328,17.00620880209217,21.375749332953205,22.986063536396223,22.61478529873947,17.710920818799412,18.66030096695038,20.03723495619677,16.217097649709608,14.171066527228795,18.211845078302073,19.56289466802179,20.477196882335107,21.848553992659753,24.238453577869628],[16.075592018418988,14.379821643041126,15.057761014620397,9.876729996114763,14.07409073466194,14.977390404602012,16.83793821274427,21.16617758657779,20.060569890976844,20.880872858958945,23.721012222759,26.800091870381245,25.864553077559567,23.585158586811566,28.747843810725715,30.242357955615553,27.939077772870775,31.859172065350695,33.00536210932886,35.703867696982535,38.483352590319264,41.92373041919869,42.194102902491124,40.71928198874233,38.28025357404159,34.54577208867717,33.020021160801655,29.76141845382504,31.5736871206262,32.06156703105894,35.44475190440107,35.337705404948785,39.03202794519852,42.25948881493694,39.78171073693098,37.486822435786046,36.734111270834745,36.22770535153978,35.267155601492775,40.64751986176001,37.03698408506758,38.613149447460636,42.919671786767246,42.27916904494418,43.310903463743045,43.66736991952187,47.04389731732444,46.89463998789288,44.91677846607967,49.20413211026114,50.94983340338717,51.8245795270743,52.32159522759104,47.361234959622436,49.48548721372728,53.10773752925883,50.24333678192881,47.990714179008066,52.06203883716652,53.543040828695545,48.97689491508507,50.27240885894947,48.35080308325196,49.382143812385145,46.95879505240754,43.71683454197994,40.61474896525766,38.04061470173981,35.002003389202834,33.24630348700008,32.30370064031312,34.58218076866892,36.950571612076835,39.73770009367709,39.758637206341945,45.88286495919627,44.55514726194535,47.74275226520463,46.489532631865856,47.27466322511089,45.421601534792096,44.50537105045859,42.94164601468249,42.52535266913262,39.1971764190784,38.59694203190739,40.447797402283285,41.79158350407206,41.23723794729481,44.79022472298574,42.27836415049787,45.30564598708024,42.057609547079394,40.34968512938409,35.63289936820756,36.117929267396796,31.737368365066594,34.67463115658733,32.34808391974682,34.49261002656735,35.4544309019258,34.52852552038474,35.76809722538337,33.7311572350226,36.05587347644884,31.222884057863048,33.665963212689775,32.25150012121103,28.19383370732917,28.75473838450096,24.0812964022693,24.209485344595695,21.345868562849702,21.014740531995532,21.8622102270474,20.946759834613157,24.432305093553722,24.142048735285208,29.004929730194082,28.106516765348523,24.871249662613426,22.448055800841658,18.915700356244816,17.516951595862764,16.381498477641387,17.608267012332707,17.68410130170223,21.17485141032169,23.609317614049004,28.361141296319857,26.86255377815305,31.362201784356174,31.90782429380969,33.46412184979802,28.954840996795365,25.292407284716788,22.335227853985735,21.238640324349333,19.664682376565178,23.08577447624318,23.821429323284274,28.659222393248,28.411331797221106,26.53605047844482,30.445164916002906,29.37255798240697,26.233709526032772,26.36301709889426,26.258849003266178,24.19391055321975,26.000367205732502,26.128648800629936,30.762736988157506,31.108779877806537,32.138516142085635,31.97117133787119,29.64829174217817,30.020639633115987,30.37511340705114,29.529083626726873,28.377160909844644,31.103091149204175,28.100506115553536,32.76745010671735,32.37455251615839,28.942513611444575,31.369297333097283,32.38665388818017,29.520955728062464,26.308904562832723,27.126529402241875,26.14063206944271,30.50806607631213,32.15866029549017,33.82157945799378,35.46955432129816,34.45958992321863,39.65700423838818,38.37107324812187,39.10802738212895,36.432511747641776,33.444294960553464,36.866262571719496,38.709611456336106,35.99200612387831,39.170934788833804,38.384952651758624,41.7899066549672,40.03012926333087,40.67065784256918,40.661055038985666,38.68916731547743,36.85850452858861,34.46685121302258,34.54851267720799,34.26707210394483,29.51122346927562,30.979314079642762,28.18931147768225,27.599665517599973,30.079620856913362,29.339690639819214,25.43576657025709,25.445134680836762,28.43817894968834,24.867036031569498,20.553118639296258,24.89901226505806,27.58984213407574,21.475844842175317,21.764429829421633,25.21966528841568,23.142441302388814,19.30593617049072,22.82849249266704,22.030069290799236,27.482318705427556,26.357677625844154,27.26997812811537,30.744543647914714,34.90720950564799,37.97720011966361,40.25391902011199,41.951512548702105,39.985687690257,42.274498165642875,39.861315450357026,43.61854221774824,42.26528705030926,36.285894987244156,39.25002194666981,42.115352777440236,37.81126466559286,35.71501619684382,38.676891285054694,38.05721454491044,33.741720617061745,33.03393146011819,30.525774490553022,33.41926539545189,36.458098914342145,35.916170513846744,38.223260171383664,40.853795572362834,38.30817175419344,34.43858670371756,36.48250707927412,37.030138056846155,32.35554913667385,31.10150631656141,33.44714737059764,31.59718056020902,28.326188459593908,32.76873196169471,33.37640510802207,28.957895250424762,29.960433724386277,33.84508419967976,32.54656653511916,35.419773335998855,34.50764449457104,37.84992751560294,36.07998737539211,30.657375005774153,34.13727147995646,35.168514395425646,31.852534510581748,30.34585622226815,35.975177088969,34.40586635634431,29.01774057424341,31.279795502058914,35.74177195638149,33.08465059717844,29.2454345541132,24.602058950538158,27.874056050836266,23.612446560361967,24.91580717787555,19.6523570932686,20.488766195593172,16.881635396392188,14.90655525129649,16.698583289639522,19.290840864938026,20.304535868525385,22.721823756625906,19.703267248110894,23.382684296394956,19.879795358674183,19.55219373580198,24.318923601947755,25.918268850376464,25.943057748339733,20.880358679018865,21.49036932190372,23.22708050360727,19.722575524469864,17.158171842914566,21.156860645195348,22.88746229323778,23.980649273295057,25.495642838470367,27.84187701094442],[17.031809522404014,16.362450015883237,18.35280601665047,13.688190436251727,18.642682241255542,18.541817706183846,20.614520226941632,24.597772160184057,22.89581738209778,23.922001216859442,26.277748431078845,29.422599088391134,29.10404200597688,26.348673796395452,31.38953692543026,33.283968084238104,31.265910340491317,35.02674369444756,36.090844735963756,39.17141464327325,41.800394658299226,45.48287317490601,45.54272548946001,44.11327086999358,41.923920814976846,38.01851823673531,36.81829169539439,33.5154252046267,35.177748041317116,35.65094914977115,38.36952326610471,38.61232023273969,42.00888721944124,45.30206912386748,43.16546422795305,40.95965546425922,40.507363170562904,40.15860237078453,39.42236103768451,45.02143024060244,41.30326551687849,42.50692263189866,46.90708655314536,46.4775934093017,47.40990657949653,47.86182199222327,51.16174801178557,51.08383453396411,49.313889840416635,53.63114383907399,55.320259036362515,56.30540785376619,56.70676906207017,51.67599808184218,53.802381086245035,57.31456725779759,54.31402407789421,52.00664230448021,56.03919636722249,57.47311264565005,52.71872094424391,53.741237308585305,51.701574577044084,52.51494093738507,50.35001194187652,47.19003059756408,43.6481246178535,41.04728470547148,37.65408575124316,35.69627859719501,34.51823611143917,36.35551548828218,39.05175597708133,42.12527972692367,42.40800351517744,48.55286475999839,47.699484553686574,50.84794499183648,49.92455032463382,50.98528069293869,49.32736688618433,48.692143020695724,47.188062304841445,47.00908015896223,43.6928863005011,42.82942988339009,44.43094104853104,45.65045563585531,44.790414841448545,48.06570581768194,45.273859207748686,47.94254028306481,44.58462745347128,42.900710825169774,38.22287279619378,38.25552156583589,33.921140956488614,37.34835809723718,35.14230744289275,37.26249743559629,38.75284722291174,38.11863091602358,39.65269342906615,37.8539176109561,40.55634547629442,35.747023596362084,38.21340608561901,36.980417468957164,32.83988611188144,33.2081528312862,28.49792958972853,28.72452012778756,25.5190698171652,25.437578092910133,25.74358648546047,24.96789250946649,28.173394373328264,27.83168641720985,32.25737227883393,31.293120374796928,27.88893190006506,25.56174795694671,22.387963146228348,21.351152882226053,20.349785494073757,22.244705790102497,22.189647832728312,25.9459200985727,28.42243412533989,33.190168495332664,31.801166605852213,36.26204684722517,36.90852445213327,38.38507993017067,33.948019483153665,30.223067756811062,27.352806700610028,26.149717756559056,24.353484859143236,27.645084896227928,27.96674279828159,32.705443991862516,32.35941923101569,30.735237379674924,34.68773324858149,33.49593606710622,30.444796191628804,30.45595145662768,30.47794596407108,28.051590396877984,29.867984939556226,29.362317576664655,33.96803054609947,33.56200938783111,34.717361989704,35.07195613702237,32.967324391312516,33.75759529394089,34.170851759608425,33.81432954486189,32.94509974252316,35.435914154037235,32.65033739296001,37.30571444414179,37.11738832227932,33.664124774534834,36.2669504620565,37.19499989643553,34.407831265242166,31.171882632665074,32.0860376887575,31.00947088547804,35.34279263328035,36.902375128172956,38.391532518188434,39.92347691984379,38.61591183735411,43.92024237823516,42.84007893594315,43.69462849852939,41.19309088095735,38.188478601673516,41.777199071787784,43.675379016200694,40.928378309523914,43.971255458539126,43.00514913593321,46.44297908874294,44.65706376870532,45.48099053538859,45.52238252444468,43.61681815246201,41.839573878706204,39.47581072701687,39.55597113635109,39.21163424131005,34.4405238918706,35.80736766535665,32.84123328356488,32.23144079069096,34.409259252235294,33.55033336319261,29.778601245199233,29.582942160956346,32.26137426300303,28.5911789479653,24.36348681842711,28.325182692548445,30.717891938407025,24.473627403266526,24.501172139077408,27.59697850136516,25.35399953386713,21.32187548841016,24.511837772485645,24.21733320644024,29.39953516401782,28.791112277684295,30.111201441312122,33.33106717949487,37.75725743603426,40.51233158470478,43.22726450656394,45.14240522246434,43.507249194746855,46.01927583259101,43.842291209212505,47.71038848689314,46.14866795415678,40.34919882324903,43.53934406584591,46.33372364377214,41.95891207958471,40.09468846521239,43.207749259802476,42.3404428790547,37.96953138572286,37.68676706608247,34.973226310615075,38.067617312137834,40.9685641535104,40.137251663026525,42.45554035838348,44.798044250182805,42.37827938328516,38.58506528701494,40.17969700661386,40.65541636150631,36.15181264887597,34.68614533683695,36.60432441617615,34.57823111311493,31.346807064174175,35.61950491513713,35.85432425627185,31.2112749193539,32.305997476689654,36.175604466033086,35.19300152164609,38.405402562213766,37.92211029177215,41.30299135676478,39.11902429262021,33.94594167318297,37.801008743372634,38.54285263173547,35.090824674240466,34.106828293172754,39.657956452320214,37.6698707314665,32.48932072723516,35.17955646334319,39.326375894377115,36.31878560639184,32.61678391461533,27.923271230484115,30.767895402519333,26.25794114354174,27.263791490113764,22.26684976613906,23.60371021552763,19.98715907847288,17.878348111106753,20.265190461382367,22.804513033009872,24.354223605259502,26.80966421639603,24.210618545379706,28.04053558013829,24.609505070038352,23.765280594506336,28.382821691275623,29.5612579418071,29.558191965067063,24.745837224595626,24.754521696502092,26.092440792652006,23.047468489793637,19.96972436550549,23.140503474060964,25.027798838185007,26.084007494012056,27.844008294129623,29.85342549138108],[15.712303475995704,14.46284706545302,15.937231878951826,12.127397454600736,16.85593170699643,18.35831648194924,20.99068859949289,25.21793815662194,24.58754286370107,25.89637851419665,28.772819220106413,31.597183100140246,30.91268551126775,28.860287547699553,34.010079134200915,35.43641717954144,33.19002156262719,37.17144600701379,38.28499592020285,40.88731878611444,43.6454925889288,46.961825422028014,47.209572038818585,45.57579325296179,43.156142939679924,39.563456592681725,37.989954584895045,34.83849383937687,36.73444641431014,37.13752714030728,40.725590539885424,40.373405290106795,44.09379265091966,47.43515524682029,44.89089613389013,42.65573713002991,41.68284036670395,41.19328803670683,40.05705659396579,45.18130601308742,41.59791462747719,43.512988324366255,47.73825659173144,46.8699506190212,47.827046987040355,47.933928939836406,51.37412044839542,51.377262092377926,49.10660414292126,53.29631395033603,55.279687666170574,56.079462670474115,56.74500751175265,51.85930526719465,54.050319789959296,57.7659662800277,54.9915514406548,52.839143024289115,56.93978620084899,58.401310562681516,53.9624271153763,55.42753287669462,53.577740919373554,54.63289154329772,52.09897786952738,48.8820476729911,45.89999017050117,43.376715327667846,40.366674928271586,38.65088844152633,37.692579348167044,39.92340679962507,42.347812202068745,45.119926878327114,45.14791431498998,51.26647420594581,49.85405702346066,53.02868716245855,51.674966415871474,52.342002505489134,50.340442535031634,49.227024563147445,47.515750438132564,46.87186820720718,43.59204509650326,43.27686371994891,45.359209370777464,46.711605716226096,46.38745479682233,49.9796362691831,47.577255468643756,50.66039849402796,47.38475603043909,45.58962292171054,40.85621033347092,41.306283732930986,36.91541051861233,39.684659411168724,37.17670158966393,38.90117212259881,40.137952973590316,38.7266535824942,40.22934281354938,37.69869105316241,39.783460634606755,34.72493932178888,36.635169490221685,34.912889934687904,30.67778729719385,31.71471892598696,27.178075036085374,28.026277478561973,25.59968772737222,25.489563543977116,26.868346537140354,25.942924418344354,29.55114829179679,29.10324295442316,34.13123350583007,33.403087237846606,30.19474525179572,27.796569207686776,24.143369238298593,22.65669124829026,21.30055954440318,21.897583036176574,21.08499844448282,24.66192600390013,26.56599735540035,31.490099375154433,29.249705732356123,33.595315685537045,34.42663708998121,36.45473963873237,31.964280045697077,28.749737415743244,25.047269077182094,24.80422992636357,23.65465709418225,27.3634662457183,28.09479577151772,32.974619793042,33.130722060121656,31.209931456196262,35.11879505374719,34.22858904832172,31.03610929576431,31.158021074852723,30.739885179152342,28.686665344507173,29.967128791185722,30.179358112075793,34.465215238093855,34.61152142473654,36.155485329510974,36.16594819940077,34.134831720879085,34.20892741920768,34.97565160393955,33.65929655896444,32.58017824546894,35.70814827240097,32.483451169164134,37.13476380280902,36.256070625816264,32.52962064184922,34.54442484437071,35.17747234702809,31.981479129576037,29.226931695820635,30.155659717845055,29.769816973475645,34.29773930325652,36.13610459318235,38.053971178619115,39.67156149647961,39.02866858516703,44.0346218857257,42.70595574290194,43.16735987644978,40.33775216706414,37.129842821231044,40.18960301578619,41.882495461871166,39.36897627310505,42.95907460672377,42.53632169416408,45.75703231877431,43.780214438617314,44.091273360555284,43.71482235000047,41.80209118120958,39.52208845761992,36.96505224980526,36.748734814182065,35.93986803293265,31.190496757856298,32.408977498512655,29.18659807971666,29.181767625088888,30.898433331401815,30.63972019683519,26.979497622043176,25.959325403480776,28.812352428787808,25.701090151763278,20.75101955147086,24.512204923979496,27.638537256929514,21.543586831412618,20.943239731783727,24.252131743880092,22.833496520497857,18.37267929114609,20.952338232921193,20.096913297322757,25.530552807912027,23.922355106227183,25.63855349016791,29.058101479723636,33.21605275424193,36.2806396983546,38.69484378601705,40.93165454874801,39.38167239694036,42.08098577019181,40.22621401021699,43.81982062356664,41.91457792318845,36.26549910854109,39.667204795016985,42.037319495937844,37.50280283993263,35.94157902682008,39.10330441037633,37.73826065629135,33.36328666245636,33.656259431017034,30.944693120155197,34.72593316730368,37.51328588013965,36.75111704611281,39.52546649604217,41.96907807104172,40.008340279087584,35.85272198113452,37.39436116696348,38.45424440266554,34.03826216135827,32.06589192359308,34.35579114924253,32.72097888252903,29.040511106030944,32.97171863086994,33.67475851090092,29.280586303268223,29.580536303372224,33.2892402143336,31.891467189579007,35.07095828244565,34.6519505756146,37.65913856526969,35.27526976356013,30.16194322852882,33.88709545234883,34.22539424336574,30.720602039868496,29.782834054520837,35.07780217181849,32.76967742430874,27.644393773401735,30.44345946772556,34.2891778522453,31.075776769471975,27.401281267096188,22.76224542025367,25.281348641809913,20.7217268541243,21.955082862075752,17.10029629737794,18.99740081835263,16.07401785977271,13.087325577717422,15.477896689601016,17.66245140548252,19.630612954143288,22.433286294309973,20.72872105548483,24.881636500704737,22.29102504547015,21.400413892433598,26.53622444307163,27.753114915568304,28.57898170413132,23.450396033784838,23.083550672261183,25.342194437760018,22.774758646630858,19.113253488512772,22.866028432073563,25.368920707440132,26.984566581227135,28.966537484942904,31.358203239235547],[19.22976909652255,18.524855995228215,20.45047236903162,16.7903131140428,21.498839169035655,22.88777133836463,25.403585806342562,29.612303532319316,28.62132207364737,29.726238486914532,32.39993246425909,35.44280257626487,34.77870997868106,32.32161727807941,37.45384492780402,39.099558436704974,36.736425209394866,40.497130505044375,41.22984921552991,44.12280652497516,46.61091586296415,50.01634168684446,49.969835377213656,48.18046812479393,46.05642944587502,42.44542295414739,41.22814268261047,38.23057860206612,40.307986068203135,40.969757177312346,44.22202698631739,44.26683112209268,47.90109249023852,51.12656213285147,48.695272975951156,46.31411275874602,45.63718596380484,44.88340144488848,43.73622936251532,48.91912024258923,45.0339006500064,46.82153345983106,51.09389182765578,50.24824421061989,50.942259920817975,50.960447305759864,54.354877997574896,54.61492252669258,52.40489506882719,56.56310268026917,58.68862214859625,59.65415348696917,60.352881416661745,55.38905486940919,57.80731873802002,61.3843918378344,58.419802942937274,56.412084271737186,60.552804450771816,61.79307151067776,57.23885267630647,58.672290246798546,56.90668294719748,57.632702711953804,55.148018040813234,52.13225729582531,48.835728749926105,46.499931802330785,43.15021090360299,41.55213780724298,40.30906760818741,42.22739994681255,45.00122114648485,47.779231590752445,48.19417402453578,54.323494943852296,53.14793483361142,56.46391745377641,55.25207075971356,55.96110542555568,54.20848208303069,53.11611361723165,51.645072135750645,50.987637453671695,47.56116186507978,47.25497265072087,49.10336944288094,50.644524386708184,49.990764983505414,53.64718835612783,51.01977142418201,53.90573864417411,50.67353673179219,49.043302437590555,44.345268654157096,44.61361390450857,40.25213202029437,43.42726737812609,41.0900421185455,43.013247158257954,44.298617211865746,43.15405139776204,44.578831501662236,42.2374456046452,44.31656676318582,39.30713693202067,41.268036951111625,39.46681215240477,35.271515503554426,36.3741688259578,31.837842656570018,32.535329608718136,30.017999936106616,29.692004420391317,30.74416432799786,29.569137939206122,32.959772419577774,32.107538958642955,36.92064000898635,36.502055742815216,33.1443397654733,31.008201840131004,27.291729805304517,26.25808528011211,25.302734666050632,26.091217463088782,25.6885554332421,29.13023191054403,31.075154979482367,35.95748036904537,33.56717042732186,37.9357932250204,38.58466648367196,40.80382266393654,36.11335019940659,32.92592523488893,29.0985891437618,28.66336960557482,27.196648786324044,30.927334705846242,31.0060484092414,35.8036640587,36.1917924429394,34.586950781678915,38.63397601473528,37.948262833607934,34.829452830284815,35.19792235648104,35.02665640837647,33.005818182740406,34.48466078529635,34.54037347506537,38.90827537992055,38.81162626143199,40.30703926103204,40.46294971590859,38.38324603947465,38.65393896449089,39.243441049292876,38.117155159402216,36.84190952309919,39.73986135233758,36.30637029481957,40.97058975198679,39.94747372478874,35.918850521684675,38.13814993397852,38.42004887996205,35.36202922280901,32.649967423240355,33.887027791951965,33.56863366076391,38.26808873725316,40.26797197589746,42.24222347479072,44.01287882048292,43.2553945247697,48.35523476729509,46.89769571419532,47.48061058127918,44.47620698743033,41.513250159138785,44.441462715470614,45.986165571479944,43.380751914260436,46.81709942418385,46.26578617124311,49.35329513491639,47.10762930463833,47.60481138443596,47.1578381429184,45.483819971196496,43.20016731455247,40.77035680846032,40.65869099766778,39.821460127160655,35.16209777213975,36.53319878390246,33.34096467983566,33.61635751618726,35.21584516720165,35.15269973982843,31.536822373508112,30.26015100599703,33.10582131945242,30.159566678104294,25.06374511642638,28.58173365060818,31.814826189660362,25.773226544979142,24.858678220182142,27.981848458785315,26.746346336792758,22.13150250786306,24.1839419473233,23.442156239362475,28.683718099636668,26.83060421453273,29.064056552318053,32.3968855515603,36.48672106042022,39.50917452459946,41.98442250960853,44.52977903183179,43.189235331246856,46.05275559515471,44.421970791316326,47.88442551506587,45.752055143174175,40.25626714381866,43.76908837978981,45.852844038429105,41.216469121537806,39.859270745340666,42.96221202203421,41.22546099664432,36.90718766865334,37.46482863915139,34.95475989693389,39.026568439344736,41.80191151251444,41.08840758567019,44.00396084964511,46.4249318943684,44.596091762139764,40.3847360237045,41.81164726583584,42.97552636879076,38.63012516078423,36.511108196358514,38.71331858306204,37.08360347787844,33.355473337095894,37.099288144801214,37.72190065357202,33.28804506045622,33.43442163017897,37.046950382079594,35.70203328609354,39.02820289275883,38.83328433711853,41.69080125853121,39.03914010027608,34.12187628614771,37.8975318627755,37.90124798565836,34.340494113584285,33.62638522465136,38.67112131314244,35.9712045509899,31.035319509753077,33.96156610620862,37.41519550301373,33.885770360597505,30.325662345268412,25.840097214937394,27.609184550016636,22.94003242282032,24.381927554381665,20.05668654058091,22.62224612529969,20.14314520275575,16.734597114327144,19.179452213566254,20.84544467079302,23.194169364945314,26.34357010125383,25.087013809183755,29.285420149678366,26.85117203474251,26.051577353118418,31.213116960241756,32.36078392643456,33.21360808702437,28.12374242165311,27.61224545960931,29.778915407777596,27.309186759043833,23.54064262151636,26.963548488396885,29.521388748344066,31.081540387712234,33.10544073251336,35.32442899809414],[16.255574325383645,16.278813231499576,19.173829556972574,16.348266781638642,21.771454611341987,22.3406357964169,25.408018900769175,29.255119604563436,28.374568778565564,30.166429138159625,32.69792904080348,35.36067882980348,35.39513807243012,33.17347873677037,38.21920710173352,39.90670927910312,38.043698078125274,42.03577028134259,43.29084712803589,46.09852559710323,48.863513470450265,52.353318231004444,52.541969838085706,50.985903446422434,48.65949012099723,44.93149668233159,43.46591674739621,40.188704573236166,41.853105660655174,42.05200890009151,45.22458428523001,44.906061637377185,48.372762129867226,51.913124019276765,49.64155847313328,47.61075854315933,46.69601448990583,46.548505648889915,45.598132119460246,50.85922957576709,47.337635569645265,49.05023838730833,53.33567198925481,52.598227638413206,53.57595634447723,53.74559462412301,57.15731507910859,57.146778866221375,54.95246624527743,59.16437203939162,61.09709172049557,61.89147469424824,62.4993902545604,57.597666662572635,59.685900927766085,63.41041743552277,60.627811349574316,58.35930242059034,62.41666546544092,63.95726831642277,59.4198467335209,60.67167283191429,58.66261450107114,59.693745437377856,57.36269263363891,54.11361621747239,50.882948116129356,48.227545081117434,45.05102231123896,43.06064404099705,42.024810673983524,43.96136614109694,46.53923528594282,49.60953729011397,49.68545378020033,55.826512409311725,54.75184185223322,57.79640540866356,56.676447610161105,57.57951103218289,55.57570615766181,54.68441517278551,52.827506396594885,52.37337935930606,49.20581146026692,48.69260390463029,50.73791505221241,51.84218766598626,51.47298902260042,54.743071556772456,52.21192019930813,55.05326316678392,51.61278380174568,49.70098084895137,44.975998076411116,45.03880961223448,40.67996070635159,43.647857849916875,41.08974979698901,42.492645164045044,44.39189790555192,42.95063179492774,44.93334321394969,42.368531953807924,44.804410647745705,39.665099493734054,41.38401030191912,39.830980755229476,35.45214667465621,36.36247526539618,31.853384453803606,33.099869098654665,30.465232085197478,30.80509662249233,31.966910692209467,31.323686439492985,34.84853778637987,34.543938588596376,39.33306706662565,38.40169269768566,35.10286323113519,32.63230333176192,29.302315045823445,27.85500669514618,26.32117781470242,27.37069665955988,26.00285561548651,29.962766878003386,31.75562703718686,36.745514693812964,34.52719937935704,38.720849185141084,39.87093575225422,41.82905372774357,37.56983167710701,34.398807613599956,30.70520646646555,30.647214481660924,29.531983538628083,33.18136120952559,33.86853647104972,38.72767213986047,38.7643354401434,36.89194092981025,40.789044444316325,39.6965045645545,36.512236539217085,36.3554494050345,35.823747103077814,33.35567440170091,34.365061532428314,34.00811580860717,38.067192003414426,37.4410224687072,39.36032306323978,39.92664841768875,38.27622136021256,38.58126134048758,39.66756467269604,38.6125961695252,37.98894851547426,41.140333371427374,38.19556280749444,42.844863228394026,42.12371593383412,38.46061552492044,40.42388749129091,41.043522752302636,37.77105537891689,35.11339493909176,35.990671176355626,35.6255684736506,40.064267913725445,41.76334021710672,43.54016842610019,44.92566385580729,44.14751645512746,49.15896580577623,48.12658603798863,48.54738963166421,45.965780498108195,42.50780828833944,45.71880881248548,47.51312825670818,45.096566853390925,48.77029229059404,48.34954537880991,51.63024626537266,49.70483585331968,49.99142753607293,49.58442013081212,47.6267112961416,45.260281488244765,42.61441049528452,42.232775742446364,41.194226851511694,36.439102892005494,37.338194523819524,33.80174143714882,33.779822058709705,34.90723030971101,34.549266802606944,31.180774096809486,29.77179579286641,32.088286981676944,29.007189519826888,24.266500033524608,27.29696751002215,30.007081354432692,23.98348318754133,22.94077610485192,25.628421375589614,24.236770580300636,19.641404561300025,21.460193861766356,21.290292740757195,26.108507887999227,25.25518158592276,27.484299185231393,30.42503778071331,34.83932239450768,37.40783454362415,40.387736947283685,42.9277891964624,41.9077160908,44.928873069821655,43.51083568327997,47.2052756484135,44.96260650967526,39.701190636582126,43.437068478648314,45.652458439089,41.08162829741163,39.93747892716558,43.34809011258943,41.630187292346065,37.22614198357492,38.2650049392483,35.15586381504083,39.24305453428716,41.73088173583787,40.50046176829805,43.34238977367044,45.33210135985533,43.708601052720084,39.62337207969294,40.45201302705341,41.551904057817374,37.468561811720264,35.084841477978166,36.82430263841408,35.090909681897145,31.40980711184703,34.92177307832835,35.22594498821871,30.699998572154094,30.88279511603556,34.437983015768914,33.41839013442395,37.00622322476292,37.2293206792496,40.172213165003285,37.19224535815443,32.56977400518759,36.75079008433025,36.61351943545373,32.98859094681687,32.87697164575771,37.928112336892134,35.0475294288195,30.397056521897852,33.79888253773823,37.089420094178465,33.45736822887096,30.13050352133394,25.5856122545325,27.505589175434498,22.82969876881231,23.35916683520766,19.187350949105024,21.59362124277308,18.87435875188071,16.050838193428557,19.080948020497704,21.171483150597087,23.749315449081294,26.326359879779357,25.308563919675407,29.600449192700754,27.274487031022726,25.61552319632754,30.542842692799034,31.154613595848968,32.19107643125679,27.387281636796775,26.12294811443045,28.085339038544117,26.3398845787872,21.951797772741273,24.718474914037703,27.598198917362453,29.382415465829467,31.75774605798488,33.882946589578935],[18.44931514379022,18.69621775873917,21.686809095176113,17.96935672938786,23.423318350700047,23.12351285143819,25.67125022050951,29.414552176859967,27.715361820222707,29.137644591610805,31.26901856362893,34.24205783808409,34.41566744457931,31.60741980547954,36.54080355906643,38.585064865174346,36.79101487904506,40.52426020372792,41.58562734948764,44.789434550249354,47.35850843894545,51.10702754754957,51.0699966619163,49.607510489240994,47.53726983185104,43.60975037340953,42.51724980500681,39.215248235304735,40.8058086644211,41.17876767508304,43.66197204261969,43.91279663650377,47.14345044991533,50.55802408611418,48.58676757566686,46.49732360570368,46.05794594500108,45.86099062207797,45.166871917307056,50.766198715181766,47.03817000825695,48.21948680864733,52.630841741202275,52.20556623477242,53.07588015849401,53.46549206134589,56.76137577716655,56.772303121712554,54.962408467895976,59.25769548677781,61.02256005033768,62.01282334662476,62.44030038395265,57.407500548187365,59.53959627482036,63.06084976895278,60.04721705215102,57.732659636823485,61.75528303936137,63.18558377282832,58.39522814198348,59.33803254077112,57.246989435867384,57.98682265039117,55.92174646360055,52.79614035360611,49.09849740715173,46.48262117738617,42.95561381314823,40.884635770125946,39.61146365336916,41.180287481607614,44.03647096550772,47.267533338802735,47.655820827043456,53.78867594339602,53.15972225145517,56.24581954098775,55.459039527169104,56.62690810328543,54.969059191507014,54.40211858697251,52.81081294053933,52.66148736447613,49.3951274783489,48.5182099515654,50.13393755267514,51.24795179594981,50.3780063484375,53.48272787544099,50.614495802165045,53.108702460645944,49.66450703104297,47.922102603993174,43.273631666902,43.02918829217142,38.74667856093347,42.28820468946532,40.03499740883778,41.8561754357065,43.82372250532204,43.06131804934576,44.936490354080576,42.987214452342634,45.804214043934444,40.873164222691656,43.07382012336273,41.813057945528584,37.528278317049455,38.0029618415687,33.33838796624099,33.99875130350859,30.82888660722926,31.0204691014339,31.376107279947508,30.70497873393372,33.877096334629904,33.4932788826188,37.79890598985233,36.840191017426726,33.395177669836805,31.096248006682835,28.054952498942463,27.061138199134135,25.936718603035832,27.817282653549178,27.22122992760894,31.193985359716816,33.44708705968323,38.32679106202708,36.664317204497074,41.02356773908799,41.904852410558654,43.54013050921121,39.17758219524867,35.61504771285274,32.44711517130955,31.607100380904107,29.935058762065513,33.32222494093025,33.53063940560153,38.261598420115426,38.0335582195396,36.46729807397726,40.43516461353024,39.232895422244795,36.17850427270537,36.07914093206929,35.96602933628285,33.33443155344449,34.85061928715279,34.04496550804842,38.40718831513988,37.45039046555914,38.97740881114525,39.73467169108295,37.940997052853966,38.78812877742605,39.48746694403575,39.13952628879465,38.50288849224425,41.11518901296104,38.36213303256824,43.02148228412979,42.725051976630546,39.14411994246377,41.61940953343134,42.35729002609689,39.427535239494325,36.38845639779078,37.36578046908647,36.51578268578993,40.90385684888889,42.485778280222746,43.99976001094466,45.42333664714657,44.14587365236091,49.40609516058388,48.4536292094842,49.2166887538357,46.7645436852403,43.58416236159645,47.121859766023334,49.006377978998565,46.35427035099187,49.56195200497421,48.693747136306065,52.08706000055652,50.20424093753598,50.940452580534284,50.83336895087332,48.95920050816063,46.98044295003096,44.52709456924956,44.43948441601623,43.79509668830276,39.01397074221631,40.16620516261255,36.88653198021537,36.50055206672956,38.11754850537874,37.38885136103396,33.84026964179141,33.07058802301361,35.43363513964561,31.94276716177835,27.581913235086486,30.9609597207728,33.282939715320424,27.095895026299104,26.57199924603122,29.25125056683356,27.251094316112713,22.964349579274767,25.36627965962691,25.45057481751399,30.230162107301677,29.866901613402096,31.775030925102786,34.69713909878901,39.24765588358078,41.70703503647652,44.79381422544415,47.08995453680927,45.91132365179223,48.75603216573638,47.02524994017871,50.88555571340862,48.92811989476095,43.45578408305047,46.98837028600789,49.50512925813706,45.01294690153794,43.56584032078545,46.8752555509891,45.52189737248469,41.11138787468179,41.577712244818706,38.612604081495284,42.211594137718656,44.8819711919695,43.73467424898419,46.263964279140744,48.29644237952596,46.262373209176005,42.40292820707129,43.431914429849776,44.102954362022835,39.87229038739005,37.931563735333704,39.51111212011539,37.49533365680061,34.13573121511301,37.9846209388153,38.00166846605382,33.2929836027118,34.091308562767544,37.79701096278119,37.0167763229159,40.572019601265104,40.63356458408271,43.857012993845764,41.111377191941365,36.33454550207077,40.52442534466386,40.74385253041148,37.15909762000918,36.82515811129285,42.11317650951223,39.5260071672688,34.70494472141203,37.90109604394777,41.50892354368625,38.053757412177646,34.60115699886738,29.976933683982082,32.16622274704676,27.49709810863299,28.15401666508631,23.72343008400494,25.731400082730975,22.49348640119217,20.07979375987169,22.960864560305858,25.262483191257523,27.470624694421257,30.005823991272432,28.2210525242404,32.31286469176821,29.323540803215675,27.92435786638963,32.58421603440447,33.31098897704743,33.68753406929739,29.02555534568025,28.223391371353323,29.556243576409216,27.28983054467524,23.46007277968404,25.941992307875218,28.283521243357846,29.58682784021619,31.719817051129763,33.54368376941959],[12.787432562305193,12.852852529647343,16.01105766115753,12.973586784715621,18.760487788868254,18.46642071485919,21.603107961541777,25.241597051172693,24.27129284941605,26.337612699378898,28.77867755096864,31.264747039111434,31.625745244072576,29.542005831956647,34.50775848653636,36.20047223956412,34.65730726020593,38.7755719626079,40.4263512585364,43.151933402215256,46.12763091501598,49.68942345239914,50.085036320283336,48.77918255911302,46.27898680228991,42.44171543912629,40.79351190644091,37.29515687072817,38.621731025268055,38.527118154973465,41.60300230395871,41.10442349797057,44.46480352098171,48.148075873062474,45.98741442381569,44.174208710503464,43.17033042546456,43.43001193804744,42.69026690959419,48.084839454683824,44.83840970205965,46.35704689861521,50.65858896170549,50.09816772544216,51.326533186288316,51.72694851332384,55.11388907743176,54.817290685474326,52.77866472598143,57.063076793292296,58.72688757803814,59.427587790347246,59.88565663410488,55.0125318461455,56.82310124993268,60.601871938706445,57.92503424929268,55.433175263588645,59.40615826410648,61.170474328560616,56.616839253649594,57.68212078034083,55.487802768496564,56.748885266311035,54.55834837868834,51.13332452737944,47.9646932327345,45.07228890609495,42.073925212538605,39.819806802099194,38.98144249488364,41.010648537012855,43.35650147631148,46.58745198503805,46.37632473637894,52.50055524480721,51.476390158553514,54.32939429602586,53.28498127920959,54.34690435647606,52.227791258657724,51.55259082802273,49.5044914570432,49.290270665196786,46.291102644950755,45.51265298682026,47.59521673258476,48.395267589609126,48.148058870226905,51.147229232765,48.67550325729488,51.49784957385281,47.95245690695066,45.88829718042596,41.16243911402284,41.16011805068322,36.81284055748175,39.64132667861348,37.00707479218227,38.26104506281834,40.38212029271394,38.956290706366616,41.155532071561225,38.67735725778757,41.45161468898628,36.35168641047519,38.19546971006866,36.970265835085,32.562571146250036,33.090412616266114,28.522758438874085,29.787900076482128,26.89472737829868,27.608095845426305,28.641341070216537,28.39751165125921,31.943970902621622,32.12036581919567,36.810774138328995,35.44152758564876,32.227204835454614,29.517385221573413,26.54720448892723,24.82234266245244,22.953737413980324,24.409268111703145,22.735486929809177,27.005016282088736,28.946156313529556,33.913748597228754,32.210627013314834,36.37975011752646,37.70536788517822,39.22433841109825,35.25704313121345,31.882717056525,28.66748350009131,28.47300242528783,27.446589827222137,30.87332233090349,32.02847213382984,36.875537546385516,36.47785761212171,34.42817890381858,38.17647479316514,36.723186207519795,33.53911829053738,33.013774993451904,32.36297160767785,29.607482769015668,30.530257270126995,29.89104871811371,33.929083867596916,33.12961238703541,35.05631030390084,35.754793398399464,34.234173979685096,34.6730441686364,35.895626031473746,35.08856343779878,34.8735364182987,38.006847697375186,35.52555994633725,40.13843618120775,39.86482715830412,36.63310010496354,38.603973969865585,39.67143928233375,36.42484641610045,33.572037067706646,34.129419626950366,33.43785400613704,37.586485779375785,38.974311198582136,40.48579120532401,41.6200871624182,40.66907607562226,45.68823381046397,44.95845821132645,45.399724838381665,43.18983265172601,39.51579928351223,43.097778905179055,45.140245498404994,42.75060199133705,46.367136931138674,45.86418536783045,49.361717323181985,47.790325812306655,48.0890644156794,47.910195391794325,45.72019490335138,43.54675960988301,40.844263441801225,40.44749327263682,39.58464494410698,34.74530177440563,35.48392109578014,31.9687973688768,31.394152821140583,32.70863349525755,31.85620627850489,28.463194611721605,27.600366255061857,29.721815097887646,26.206572483855084,22.005341471572393,25.22317234696124,27.379089295083396,21.205363647454327,20.711965368087398,23.37551816141102,21.352964791100074,17.06055068026025,19.667847351833807,19.807570741275505,24.60502163405581,24.65624832168446,26.228362195685193,29.075548915708538,33.738153335473555,36.11796658155368,39.272336236097225,41.39495397779442,40.21519685536463,43.04220782457194,41.33173818313534,45.3033926889216,43.3851183745862,37.97404198760173,41.564875500132636,44.22890546730907,39.82933929640121,38.42388482247052,41.91452272460047,40.72430795798991,36.268559657865495,36.92862161754066,33.544596022487056,37.09330747436555,39.576307554319314,38.16700817569518,40.67613016625058,42.54943119388563,40.657920604529984,36.802525305066425,37.617367894410584,38.35699623120467,34.22767634312611,32.12346639113073,33.665889073499706,31.716734027628064,28.272981132154364,32.0713130601546,32.15705130810415,27.49340577841493,28.20389733886969,31.930362872873907,31.125933469354873,34.66680421863554,34.75499034506874,38.02066386049338,35.29573371570053,30.52717718410092,34.81329719545159,35.12086534389003,31.55660496668159,31.34923011720048,36.726286906099794,34.29865652056713,29.518022250494877,32.84128224218184,36.56259560737672,33.28269941538642,29.891876193051967,25.19961589613359,27.917250014736783,23.379702827191895,23.49639549515081,18.837980780707095,20.3444105859789,16.834795289020324,14.972801994708872,18.063285989183772,20.81046958680552,22.91735673864431,24.92931568099375,23.20980445071601,27.33314753335709,24.56469936337404,22.609938561726217,27.22830436570873,27.734072926601296,28.443615285321986,23.812294368458176,22.597830939831365,24.181605496306265,22.366097824121326,18.065504137608176,20.681486056061964,23.385440019909176,25.071236222804814,27.448116404138606,29.550752663958427],[10.92581435205952,10.523258817325996,13.319928953580593,9.59878491613355,15.462322361888718,14.36902821821712,17.3668050889995,20.92010708140927,19.832798118072134,21.991009185385707,24.42546810628208,26.837629272330656,27.292946424425928,25.33663702015058,30.256538980179926,31.907662685586555,30.552409199503973,34.75857304571552,36.7079088129049,39.32828650154922,42.46587620009824,46.05486898353764,46.62632777833454,45.52711279399621,42.88075188466661,38.98188550028265,37.17915596779242,33.52495018986845,34.59833618930458,34.31148488597325,37.36328272895783,36.744908393332864,40.072644448698185,43.81332916145941,41.6928917650169,40.00493422874874,38.949878197235904,39.46832079957319,38.88988926643132,44.38499134484025,41.35152761146507,42.700773143273445,47.00140439182482,46.58619643571817,48.010618386892,48.60962888155198,51.95988134233943,51.42845708183377,49.542547952173024,53.87735124225797,55.30790361694006,55.94985116482361,56.2799835878698,51.43393808551237,53.038971533820494,56.832706095357736,54.22993545337415,51.582449101996744,55.487272710070016,57.4037259614642,52.849001455510695,53.78875969729591,51.47673091184193,52.9156078617919,50.81190622054888,47.26037582274117,44.18234899934201,41.12721768881011,38.31215019706422,35.899889354162944,35.245461707976695,37.41427444460758,39.524950948980646,42.81580209759419,42.363406689856454,48.46519230078392,47.4209490033628,50.15046809478274,49.13156453025821,50.28482373397431,48.10156800447192,47.580589899009766,45.43789844760802,45.409339468286746,42.5201238809641,41.52802435656934,43.608585451117406,44.21531693690608,44.039696211358596,46.88369390107407,44.47108580171267,47.32169263932153,43.73342099492093,41.58439735114894,36.8545648718263,36.890706824987475,32.541911507886496,35.238069210878194,32.57304051187429,33.84784440659202,35.96502667450215,34.63605890505905,36.87047152100054,34.55166590497049,37.5699998471535,32.56104271148044,34.63440332196518,33.69293800344872,29.340186290781666,29.49408063422693,24.857077874825904,25.933026299234744,22.783964172230952,23.71553743780986,24.59159924326567,24.658996454732275,28.198589370656283,28.781999578575295,33.3783642844631,31.664373750477786,28.55576861662733,25.661419705059032,22.995306553327897,21.032731839736208,18.91667578137657,20.755701502358214,19.048878787280277,23.485101457494363,25.648201286718756,30.526864235911706,29.370980710748114,33.54633044699092,34.89153012985682,35.994181315223244,32.23459800592993,28.642544135579,25.970302200583284,25.506023185397748,24.50663533903292,27.667963003379032,29.21027733991127,33.991247175631315,33.21124008044201,31.02819582831239,34.629510267273126,32.896732587512815,29.73407043952221,28.947806289317203,28.264592331421223,25.33768285821608,26.32968446654113,25.54843396896613,29.699052801287422,28.96731494463379,30.726338675450556,31.380196242258204,29.830926909795753,30.3854119536459,31.59048053188865,31.016044235081576,31.044033495380518,34.085706004565566,31.980409683919564,36.54119470579316,36.670530162618924,33.8387728166186,35.86829628239679,37.331737959759884,34.198843236432054,31.141554591059858,31.432153286482603,30.391295949553225,34.264212338874394,35.39070909611373,36.669210833809004,37.648543177161194,36.525710944910244,41.57790958836631,41.036568910608615,41.546409763767045,39.61145665332901,35.861698509440245,39.75407556087799,41.98503731672056,39.5758689960353,43.051019905088395,42.42994223487447,46.094891868646236,44.82662710958455,45.18691378067364,45.243725484807946,42.88794115656271,40.96159661062771,38.27745548507746,37.95073073527412,37.355853010547214,32.4923045869748,33.20571864144375,29.872904322417423,28.776380998721205,30.483445559620495,29.187427306191303,25.689476516789217,25.538947183485824,27.631645190604296,23.70980457948097,20.07149688828845,23.65927181351307,25.377904864843185,19.13546791382299,19.376592498696542,22.153103745917033,19.533729815498006,15.75069895570557,19.268589372601586,19.461279897159816,24.28876871818483,24.8561268370175,25.691293391017698,28.55478720344822,33.275096268242066,35.61948029157229,38.71394417305542,40.36927193432064,38.88994707310663,41.41810755954596,39.307959287196724,43.469325572678116,41.96159670417365,36.33306957872742,39.64805174649771,42.737924555740136,38.53405669600187,36.77139076412394,40.21008387455675,39.600995909256746,35.16077257219647,35.22336285670419,31.782175894683085,34.684292768560134,37.25555323277295,35.858957192128365,38.008138651933756,39.922615766401094,37.65019671174139,34.01957072192312,35.07266218582026,35.42945640047265,31.149570390802797,29.502806025745052,31.02428179201087,28.893551668385,25.733503764746946,29.934374608886433,29.93115657160276,25.21659228194965,26.499627275939087,30.392687048424605,29.680226197151015,33.00268390225631,32.748208086941936,36.30809100066183,34.035426198206146,29.031556686552012,33.208918671886686,34.06489179216803,30.638645161327954,30.07857551561209,35.74958888394199,33.91032037043454,28.944997031362945,31.95149198047173,36.15680407620439,33.328601511114805,29.834135932183393,25.09618611628327,28.540918525206276,24.23848477564444,24.26452103648986,19.195582307258494,19.73722945857663,15.558101857529557,14.664200121635654,17.431065352869663,20.645470228299473,22.088522295539498,23.62336337220716,21.017781637769513,24.838052691359245,21.52141483772924,19.5794085258687,23.88041045661199,24.502338413782745,24.729536441666415,20.188493785155625,19.419044048759865,20.629546412289216,18.35590879343456,14.515998771416278,17.311407288666075,19.602548903959477,21.058421231275098,23.263852408040005,25.417768120906214],[9.98009028688445,8.24695891340583,9.932708023177025,7.218397559314451,12.690117810203333,13.660144782501897,17.099917372351864,20.931691377422652,21.083497545343597,23.300992047341573,26.29249339230113,28.410218684247848,28.278032231675894,27.061671395646545,32.04659075966603,33.164686140213064,31.495574552828256,35.862544924961114,37.80032660584341,39.913319970647336,43.153117665941835,46.34874390435065,47.10894340737108,45.81660702821348,42.943950823233514,39.38218355556757,37.214962760910424,33.75240948862011,35.087604152696976,34.786162259541804,38.74974279438401,37.56525224511645,41.24819357765253,44.95377463172663,42.38490675782565,40.627787264974216,39.063099348572294,39.370890585552914,38.37791952558826,43.363341080697936,40.48268756576572,42.5329604405186,46.63593173276093,45.78398357256424,47.23807267667514,47.50933754850047,50.9837779076385,50.5137035753223,48.15044245968349,52.34894181529289,54.04536613241067,54.5008902490316,55.08733812130862,50.40338995224491,52.0694112971192,56.048723767087324,53.67871008621513,51.20495208211765,55.167015236754445,57.09583546420718,52.875565307403086,54.27321404411007,52.18291475429671,53.84793448489941,51.363324102914575,47.7781618571051,45.29208834875155,42.36000542614116,39.94685123087356,37.85307468377027,37.40757391360355,39.97990727186145,41.81602486863155,44.73291309778149,44.05101775943763,50.09293501975044,48.4498782159043,51.226212204957484,49.747464232124365,50.46712556360707,47.961044956934636,46.93589255748673,44.62234103752939,44.10792352758317,41.25383453168395,40.831939396963975,43.379935419536594,44.160884236484236,44.51387777664981,47.72404224841973,45.72385797549757,49.0085573596602,45.56345160191031,43.36315347173042,38.61718106874978,39.15427192538048,34.78958676656394,36.78816356082396,33.878654735975815,34.8421659035351,36.49939712396159,34.40236231354763,36.4729996594221,33.42627591080178,35.731603873079976,30.49900947670405,32.026566224640234,30.569651929776864,26.135862175292935,26.996046669823,22.553435968323882,24.229390565743866,21.978940748951928,22.795655437862305,24.78442442050521,24.650417067109082,28.54253884639556,29.003050817848187,34.154455852167104,32.72264974993407,29.842381821185292,26.94936440770788,23.797981505257372,21.447111650937345,19.07392086055017,19.464508235162903,16.996911202537202,21.171769511658262,22.732729470709014,27.748817133866023,25.773144201827616,29.834516418107924,31.36019126132586,32.97114466888202,29.183768398996854,26.1060985037216,22.683091195959026,23.180742866018335,22.86939131471504,26.36450888641272,28.34950461725871,33.20967516963215,32.890353905097065,30.425049167765348,33.94238606187785,32.535178431615684,29.263239638739698,28.63870289990249,27.53708978312016,25.121495861945494,25.59836463989632,25.742202043517004,29.558521223008555,29.640818366166094,31.669456540604543,31.801618697054142,30.2412360473064,29.98966779709415,31.46889426342972,29.85760186999373,29.603000911447246,33.26053776053472,30.717594849895626,35.23611716153535,34.70565913931555,31.68173965622727,33.11651080595901,34.36454998507761,30.867430521087943,28.271962372069492,28.50556833597969,28.110165988085843,32.116141874210705,33.50337499444294,35.21015753596536,36.300054011182866,35.87608384789594,40.60065954322841,39.76567052746966,39.887021558616134,37.61392387923465,33.69565575578709,37.04710066052613,39.07860652818574,36.90302525585899,40.890821611940694,40.8001722033305,44.247996095880346,42.83498411739004,42.696683821841454,42.381602076972015,39.998030564701665,37.62149365974826,34.75329394448938,34.14236949196834,33.136984222525925,28.293871806456245,28.845479515927646,25.27846174057242,24.71298813092442,26.050486430215788,25.33941581829175,21.889369285249437,20.978003573473707,23.342385798298764,19.942588801839115,15.47017999657192,19.05876034399979,21.64201294856059,15.457578022078394,15.140496213256437,18.369873171841377,16.63682176100536,12.349237166058789,15.50903294806446,14.92274984315606,20.244298850859103,19.74393139264595,20.74610826972996,23.938504153026198,28.397108430665877,31.163942143418407,33.858128161849,35.73190755237339,34.20436213207876,36.850199732709854,34.9434248670246,38.85234998960105,37.093391829856564,31.5021619959917,34.972100927105764,37.73489843400568,33.392225566256684,31.82255390648951,35.2997244159993,34.343332007301626,29.885505698876592,30.360557603697927,26.896987039245527,30.38154369466683,32.88651275575739,31.611772864296846,34.20121323495384,36.311740189321824,34.427594465252874,30.402292215522642,31.551779666105844,32.50666514222754,28.233524173636788,26.13273154677422,28.191974578728274,26.509304181632743,22.843160751168128,26.803296597413254,27.416190328925886,23.01331792203455,23.44549331073615,27.22852437599659,25.972985646131473,29.17760078107719,28.82975699326473,32.059973632677384,29.72071035952829,24.612562854020343,28.60844088236021,29.206275595069602,25.732470130063213,25.04940130754461,30.596033953292327,28.60813185401448,23.568639307731235,26.598518470844468,30.694579128869353,27.804785503977893,24.27248730870818,19.532686756700393,22.995608613476044,18.7626465625312,18.919854698893023,13.729351239713543,14.436894420961332,10.656581874473563,9.14063816866014,11.929538157326393,15.105007992524246,16.729818990350793,18.42021014713484,16.50957644561493,20.65189937615351,18.146647422086424,16.19078207637614,21.11529927159118,21.907981069109265,23.014362679391812,18.063651778170694,17.06421587456721,19.442611502104118,17.540153048046708,13.27202571722893,17.033683328224434,19.87276206832009,21.86792976200104,24.13762719283383,26.718113253395796],[6.841229897794981,5.181096591088928,7.660248106095296,5.208312922993091,11.18589730639164,9.726993054508071,13.53948279731374,16.765215323931557,16.83228450202798,19.746860535089755,22.475996881939118,24.149834772363892,24.781696825457384,23.864498339706092,28.592773352709646,29.739448497281586,28.736939477948425,33.25688950266609,35.83479877025187,37.83356086056946,41.35912082402081,44.67142662679575,45.71453361038954,44.82722723146146,41.7647999322463,38.05529487575616,35.670958149973856,31.886865923480272,32.5884283542247,31.738333904649526,35.425795812363084,33.92960274564682,37.3602133416843,41.335608860687096,39.02149865588515,37.68691478663718,35.990574838999855,37.05421993410204,36.45943011019899,41.63653409632206,39.232221087081285,40.89682586644584,44.99503276203697,44.46267906306981,46.28347612640895,46.91844102094458,50.30750539085523,49.41511847338477,47.33960868049849,51.6139857218569,52.87843522492491,53.19564432023007,53.531326849500736,48.9167131692697,50.12201233933849,54.15533597301704,51.954443684384294,49.12738858484938,52.922968802943636,55.19668906949482,50.950598281007196,51.99919856336253,49.60081594061769,51.594149808999084,49.39320458147195,45.564963521981205,43.13608002819768,39.838157766852056,37.70033708437756,35.16184340544174,35.02372746584883,37.634342353405806,39.11515262502092,42.309186694665875,41.198505541162014,47.16686302038624,45.69304148038944,48.12074382191196,46.82472167896633,47.84709209366805,45.17489205789131,44.55625991268773,41.91474749311743,41.84286806629627,39.313714933371095,38.41264952552476,40.98955860648974,41.21164078073532,41.752257654792636,44.43082450837092,42.51274123065593,45.69298315577476,42.06732620364768,39.603148165368275,34.89054653338394,35.24245481512999,30.945746405430437,32.68953342408312,29.628644789875402,30.210533968113783,32.41534828440263,30.302538060205862,32.883086853345375,29.970526167062776,32.95171699129627,27.805955489980715,29.489001730204773,28.684277503373586,24.237273971241848,24.328367383456126,19.843828311857905,21.670137728324292,18.930679579693305,20.605803044739186,22.30068008482402,22.96668385222295,26.766786342763403,28.03402034888542,32.839433351355495,30.698165160994243,28.011744526300973,24.782516846245926,22.425786267543394,19.67819581276693,16.68383041819509,17.89176730427161,14.662476498383198,19.437839711395103,21.1915028018447,26.055394911559446,25.06491856910712,28.934206334452632,30.796259567352298,31.61109703029714,28.458316633582243,25.12344707458736,22.677402065890373,22.94753712075875,22.800052420476778,25.76288983887298,28.394916914089567,33.08307375407551,32.077156222134484,29.408951865736363,32.603917179962934,30.581854486096013,27.37635996159018,26.042085916121458,24.686256305214876,21.656094964636992,21.835342485581723,21.31709373393558,25.011766396998866,24.619381252205425,26.792385087109277,27.28183192907527,26.07249066719364,26.086670458142944,27.921297022931213,26.808315614428192,27.42025822300374,31.00719483892233,29.364482082408895,33.73605068436361,33.98153107865202,31.72226231561584,33.14215567168844,35.03913599960358,31.678718761562777,28.874963183872236,28.592949053528073,27.670531363319306,31.071674843752724,31.876816517905027,33.07443147146528,33.66337343663423,32.91869293620543,37.62259466925469,37.37534106614304,37.52037852775194,35.951626860071926,31.65640516310249,35.632316625135275,38.06756920222713,35.98575692237203,39.83131581293655,39.600711053513024,43.35833490032253,42.51246604717831,42.40808196908805,42.4451366991451,39.74269525055136,37.7017455481033,34.79379539064453,34.14387966974417,33.398202139508314,28.559465767959235,28.757799889150462,25.27809226156192,23.742149353715813,25.22395279105527,23.59412690817924,20.27178831820337,20.351172138711227,22.10355756391451,17.976908809673866,14.944501355989898,18.450267595803215,19.723123986850865,13.527272735200022,14.317377541978404,17.100778877112283,14.19176795598587,10.925124546373763,15.167044132401806,15.37985361451,20.021381824502146,21.243859974675544,21.251332191983693,23.97279789758411,28.712666099672724,30.94347524624446,33.99745393074019,35.251054649115964,33.63998949897532,36.000301455492426,33.75496348398639,38.084146479171565,36.79173160224035,31.18357099587272,34.419254000836695,37.80814999203753,33.82724037951617,31.987360810421887,35.561257937737814,35.35968074028009,30.956159471785845,30.997250275800837,27.113100466807733,29.651330428667745,32.01690616962409,30.339752691855388,32.32321970718732,34.09042465404498,31.836981617266392,28.287496786394314,29.21112697009193,29.515426442283232,25.275416219290147,23.624713750800957,25.146053857159814,23.04533926957678,19.884061222210843,24.22492147437544,24.328694169182164,19.704602821806333,21.114589161145464,25.07408649477129,24.332134727884004,27.473451091930837,27.059021423310927,30.770659411339874,28.764550670793366,23.69395500342337,27.86392787910746,29.06762596210865,25.790951635460978,25.195642394568655,31.005317516817623,29.644956052694724,24.76296666089633,27.67452121994362,32.12238398878303,29.749923811206642,26.38610741088463,21.77104635997871,25.94715611437205,22.154228508744417,21.577688624811245,16.454890002021585,15.739871727370145,11.038305176717198,11.810696228939973,14.267755290256021,17.980164659185867,18.848814474957617,19.393631774134334,16.51482490933659,20.100159934112998,16.927786268805285,14.19504365979421,18.249839036570883,18.643894089044725,19.144490082345424,14.664086050517904,13.519166144099154,15.01218780260233,13.191003316898996,8.813538377805399,12.166815666875811,14.777193433596114,16.69813685922353,19.102666084582832,21.636677098071445],[6.1370255847839665,4.614617683871431,6.639864231508329,6.1061539646409315,10.753894646850599,7.413533979552435,11.540947921166484,13.911585960149013,14.404284264027734,18.00702402034543,20.549799059731804,21.589039517561833,22.81524531684978,22.484509201075525,26.85564883665948,27.829375873751733,27.398014846323182,32.02681325692147,35.14666508658334,36.85425420939501,40.624167548481566,43.882413911019924,45.222856814929635,44.637648592868764,41.375900792845734,37.68898076839873,35.03473671422022,31.08730582276996,31.27076890667852,29.900975478089645,33.56898217095913,31.593074504437887,34.85304012550715,39.046689086414816,36.85266198346225,35.9183265960685,33.94314990619746,35.64581965054417,35.292790759479765,40.41186453132293,38.51835478946519,40.040521686904086,44.02682611520959,43.64502509266808,45.78255074629009,46.62627871785182,49.94975154919435,48.71386934195375,46.75606575925394,51.01931654689197,51.97870923881386,52.11033688790258,52.30307056342348,47.83833683626828,48.63785374717998,52.75202500095303,50.793932946834964,47.72485301750057,51.360801581724246,53.93485862032421,49.80150885373789,50.67302198249058,48.08145288136322,50.428529774600044,48.38085102474163,44.35590598132792,42.187869829174005,38.63280050297382,36.89742004230984,34.08797847914557,34.29599218735164,37.020336070674496,38.07974697685583,41.37498806857115,39.814759268468514,45.64139675185197,44.147082645181854,46.24572243426182,44.981851447097704,46.13715336275833,43.2241297783803,42.82396668467007,39.83648889458307,40.01905440246128,37.83594962696958,36.68849139345499,39.4211629751948,39.169621772369744,40.0594739872201,42.33005705404687,40.64156925364819,43.83483969687564,40.11449426631526,37.40236163695279,32.770195995419456,33.09798137840504,28.92580350544711,30.149368201391255,26.88387299093402,26.926893663771583,29.531332360262304,27.133235797756523,30.16759473037186,27.154961989119755,30.52737682692126,25.46430650094245,27.06007061386832,26.734809758221672,22.341269760791498,21.904697867241726,17.591749898371074,19.773151765123707,16.971933342217042,19.43707223766604,21.16576484910023,22.502509049602917,26.206476175058025,28.11943948670093,32.68332301873667,30.039317260492375,27.661236602062964,24.22065401366681,22.518528642018392,19.41937254793074,15.920759390066765,17.34172071562503,13.243188394804966,18.25387469480413,19.88552268278476,24.495839491100206,24.176125581810435,27.72088006925266,29.93019205905689,30.16680705921158,27.66866295389825,24.370119547583048,22.632249604386892,23.02375466700413,23.248473726339743,25.75617650987065,29.003796180058306,33.46966843916223,32.03889120332401,29.16289373960175,31.974350255867503,29.534714940782536,26.42965629300641,24.49949218478729,22.76859709712455,19.36461206917977,18.986524760053175,18.080482620065244,21.423348838488614,20.7961730574147,23.240271448088116,23.932887436998552,23.135600391022763,23.12912281259047,25.42635898143731,24.46591946926135,25.845357689289862,29.508175093935556,28.598607853443852,32.73378877179011,33.45739730804971,31.84768477622082,33.03201982125996,35.38021669749943,32.076392277713836,29.309860400807455,28.574110022386463,27.429581148597382,30.250293494079816,30.587751394050418,31.42935088325003,31.55786774281749,30.75728584136556,35.264820209144965,35.49132395912048,35.51939506410624,34.52438091951062,29.871023027067523,34.189294111294046,36.897534267595326,35.013192632273096,38.85427904206958,38.678340981188775,42.599864333029075,42.21663966314343,41.978977866087654,42.19991176199381,39.241277235103254,37.36923842243486,34.405427755216884,33.63108469437587,32.9821603360574,28.25008160431225,28.061973635976393,24.65780110050582,22.448287409590908,23.869766989458007,21.588863555281588,18.536816707238515,19.298898187061024,20.467077839875145,15.947182861756982,14.279060733795053,17.458918531573662,17.65731212549745,11.830464255004694,13.509573899508531,15.80712617743583,12.164726414630035,10.201380259392403,14.922205489484028,15.575232580666556,19.490858066154956,21.817177632691806,21.030827583575174,23.337117752644627,28.122567166384055,29.9545788280879,33.16189325501395,33.911796138715886,32.239138089637606,34.35000186085143,31.896183557993325,36.48096830169247,35.53858906610715,30.02094575688591,33.05153663962782,36.849992303155894,33.19973003033864,31.224545040609716,34.84971924700229,35.188931238563754,30.89733536266976,30.718938048055417,26.525745657157895,28.35085736910366,30.510724842748882,28.507088524610563,30.03322333189557,31.499080266438362,29.055204348843453,25.89096852136943,26.585418557986014,26.442265299499287,22.30846047775724,20.978418643620294,22.09037345362497,19.73870658982815,17.00848105850058,21.560070188775054,21.349016187553083,16.704643175083053,18.813498601457628,22.808091560794775,22.407582747048654,25.378569125857275,24.884157700373006,28.882483002956725,27.196332721409718,22.255252875311907,26.433293515272176,28.07696587609476,25.038990636099975,24.515199563350183,30.381964330783667,29.53782706245258,24.896229476142448,27.650788816243686,32.26185546301039,30.340096565202003,27.18333398294364,22.804484150150426,27.413166031888885,24.066489496944026,22.99089087994582,18.110999900614488,16.394088514887752,11.510703104537827,13.767878259135648,15.797939704827503,19.672592346892863,20.001202282636854,19.623271815212696,16.317742132709675,19.304771820875352,15.975309917803465,12.568765236259779,15.65219438966801,15.609216838839734,15.770029788711486,11.872692746185674,10.425931881655684,11.208022892346621,9.820577638926105,5.219096282113192,8.237441299215325,10.760695535632694,12.823737061307556,15.416412180528306,18.034510356219734],[6.553066806812369,7.180688444604048,10.543147713604444,9.412149226465635,14.41246502628127,10.229015275783352,13.795598922849981,15.712670312626905,15.13845044652007,18.850925610731068,20.830292068081043,21.95430251562466,23.879667746058256,23.0174514231555,27.2629584882219,28.661131297753965,28.56646863281441,33.066332322171405,36.2180429757889,38.27952472616339,41.97220303670662,45.49613287860457,46.70229800113666,46.23742616755252,43.14296486732439,39.240940815867276,36.84698719536912,32.78664813162275,32.766031994022484,31.3596686649544,34.29300376573631,32.68187320402806,35.59399482992012,39.870643261188796,38.06435748861987,37.25253930924072,35.619389992710296,37.5303578495436,37.46295668066242,42.87993888063644,40.89620910184536,41.97284173722252,46.076681539918894,45.967114932595194,48.06654840976907,49.08718338572075,52.33536760376497,51.08538124705582,49.40450101157924,53.73744602282814,54.55392548256348,54.79432274491559,54.83656648515372,50.290448052405345,51.032353456346534,55.02966469825096,52.941255692178444,49.75458293935876,53.33384143236416,55.91319382676231,51.574255107510446,52.11874945459251,49.355787265938204,51.56369852165928,49.8012986424548,45.79898219768104,43.21945044503345,39.5605890873298,37.54717548686407,34.46107302524431,34.53095130874933,36.922027636432524,38.170957817465876,41.78368184255332,40.362669773047145,46.20954763161337,45.18547819134447,47.19730897505733,46.288457917696725,47.76980602834058,45.05781100046635,45.0181786130225,42.111994897359864,42.622166548315526,40.45230780985938,38.94199402077957,41.36913456715583,40.944379006427106,41.501494113471274,43.428610888252514,41.462487761405775,44.30088540283028,40.439874385019124,37.70918689467111,33.11201532437478,32.9695319015321,28.839164494650117,30.552928802820293,27.43742056545959,27.515811657792238,30.69910143585506,28.811370583378622,32.092911319381926,29.56728192656443,33.41257270059556,28.541232141504096,30.349237088418764,30.32310920615365,26.016654811572863,25.225321336376272,20.946384009526923,22.793715812903287,19.478423426489964,21.99167064748739,22.94553785447376,24.40135677931042,27.84596441912656,29.798306858009372,33.983596886479766,31.151275725935243,28.616585245948457,25.18504122707551,23.836076603061134,21.045651770995455,17.784259510257424,20.10710049323798,16.61469548264362,21.625197335727954,23.516191323144795,28.007101527626507,28.001324660646254,31.559591936955567,33.69391421435708,33.734100905916065,31.25171494356102,27.74079825952228,26.24526242036667,26.183811871522835,25.98704633834469,28.37932674868678,31.265816814041454,35.707641235956544,34.05701749194705,31.38624663771673,34.26208646897537,31.636617401151984,28.62135429244927,26.586887147578935,25.131892589988748,21.365055365726143,21.254374461088947,19.492329280050093,22.866397485049333,21.261234487447236,23.697933832701548,25.022494466272192,24.426505766212614,25.052175219660317,27.245943817827932,27.037534778300678,28.64416415334901,31.900224307672794,31.257822813908323,35.40348807414556,36.46494018863668,34.87888981764498,36.38256182138875,38.747322359033035,35.58926285114713,32.62515583442339,32.003683915438295,30.595595736422037,33.39160414612204,33.60360905100213,34.188225086994066,34.20830728606659,32.96472080996641,37.61915499108417,38.0937603787229,38.33452711363491,37.57289682276948,33.02333845190025,37.59353488425166,40.382552073255354,38.3968437431215,41.96895104255243,41.50671635966636,45.530358632970405,45.18862459911566,45.21540751503127,45.59250239035793,42.67604845412201,40.98828360308828,38.1118975549509,37.453359746292904,36.919772824658025,32.18540335538718,32.05569616443061,28.681153577387168,26.391803834981168,27.76181241447604,25.30729593673592,22.397044308880194,23.2147902915635,24.12169774543046,19.568787639985263,18.1495214436288,21.011265739550907,20.760694467452478,15.127534190978881,16.602796423276487,18.40040126439757,14.471664814660812,12.590106751338217,16.95714283481494,18.19514003783493,21.72698943394622,24.681752803310975,24.160235084787573,26.176456957198447,31.164315857126375,32.63040149577523,36.23056954885973,37.020391517451216,35.5915559861989,37.77256383207106,35.426496761869,40.11021058597742,39.14159930132018,33.78096112519363,36.85675909391323,40.68370439158652,37.06172924228755,35.171248131688436,38.83294403217502,39.1334505709241,34.82658256475092,34.74392054717473,30.52099204057476,32.282670780093106,34.37078333249889,32.20026825013046,33.547386182779135,34.72404959424684,32.2595242459648,29.3731719939881,29.719159460858435,29.2839322458417,25.394762495745322,24.14844561953232,24.685040685439677,22.084908394742293,19.734953633492495,24.07164206953183,23.306471563404113,18.496233192313348,20.995312606006433,24.914651963046875,24.982211371370497,28.169691412272687,28.021250157305964,32.081717506234554,30.175843624441477,25.542333383940623,29.936096194524794,31.448683471310442,28.376925552489183,28.216913463788643,34.00419878950996,32.951021339988685,28.46836010856624,31.446310745915326,35.8899523240143,33.77720145094656,30.689328255161936,26.249760647941436,30.60791223794014,27.03777262018327,25.813036267008535,21.036911342386603,19.752193907321033,14.931345285695189,16.781855307836146,19.21921511023335,23.051554778716312,23.699160603584595,23.50465333431334,20.32548296878049,23.309699439316578,19.82417683759116,16.493247607426916,19.141369443303944,18.766244224403835,18.492542239956084,15.225933884195316,13.618583707018528,13.374325873950438,12.313645308117351,8.284903739354041,9.165018941832113,11.356908051848848,13.01841667337894,15.784757572065985,17.87976328368513],[6.327093281213536,8.423363293563217,11.966935093619027,13.378665182561837,17.435953669611706,12.903311375660433,16.573511376730213,17.170076881169585,17.428010208810544,21.84040460641264,23.455042892357202,23.551537557836983,26.338442843305664,26.26688512906432,29.926677369684466,31.05954590683106,31.672930646855704,36.225140009223125,39.91579178641437,41.58570779416809,45.51550029149011,48.88974867222938,50.425455871971096,50.218568249662006,46.91539888521495,43.129194804037034,40.427373184790135,36.29273018540012,35.754942075805005,33.722394647535005,36.64102768819973,34.32177634231768,36.897424962202564,41.46547461585682,39.84926184775533,39.61813160183473,37.53796406739983,40.221401234343055,40.33388292100123,45.462729605196344,44.11881236486201,45.229634810753375,49.12619328226106,49.06325941352303,51.488456738034486,52.60135877425676,55.802320683417165,54.2329764561111,52.51800605468776,56.7598216648064,57.339591225318344,57.289679469328405,57.257420144625605,52.976742531618655,53.231333816102236,57.36992152940795,55.66650885419605,52.25097012592958,55.61270074608404,58.55717662866378,54.464507522550505,54.87275207266614,51.91721451147221,54.571919690383695,52.95700406762971,48.753978595740676,46.56613109511205,42.66103371464741,41.13943297874892,37.79290666561408,38.23022470396532,40.67062161915691,41.4684518137693,45.17749380408401,43.24349500787629,48.839347055257385,47.784234675554146,49.32637975234778,48.43166137731967,50.01259750750219,46.923617674648376,47.05155044001682,43.62783352710704,44.31605922164451,42.65502252384079,41.044851887612474,43.778585026919544,42.74768781783146,43.88673069870461,45.25162528086578,43.6722805529393,46.488062024366336,42.52691663014061,39.45501395448117,35.07509848594359,34.81682446165719,30.986766692356106,31.891021497269538,28.508106594269957,27.426515073094052,31.39688526351749,28.829153331498993,32.880252314,29.94837310891385,34.03486453505839,29.271611145923508,30.440778600764837,30.83269158909198,26.611272393962285,25.551884867133595,21.89627844939904,24.600737864460044,21.746893167405915,25.02952192694579,26.30353686142224,28.311505644451955,31.683833316535456,34.130854614328854,38.17050094379222,34.94628858077706,32.75991170979428,29.201086467642106,28.353115355448352,25.282591549219347,21.651015573390676,23.642528349455556,19.062445090112345,24.016585080291378,25.316233163051667,29.4720924309605,29.716701329171812,32.67343360962695,35.4284786984217,35.0894571144818,33.46395231210934,30.357624687719444,29.139690061693,29.712100264123467,30.090311268641845,32.23502286625451,35.703772143771765,39.97948496380107,38.1280883798463,35.230858449122444,37.69364853625946,34.76503152791907,31.87786875305519,29.271530054214526,27.256704213484568,23.27572156404395,22.08358916850868,19.89752172280155,22.065053896266082,19.673669902061125,22.98908295929571,24.877570256328717,25.226275011652152,25.609832732683145,28.631232654244897,28.314632568565248,30.840876076077425,34.36340174781315,34.398686601187514,38.22143012148941,39.50251837470783,38.450287119275515,39.43789591977209,42.075107251885704,38.77147361214686,36.122496570402916,35.082923092864704,33.820545769312005,36.06385741531367,35.85965780971124,36.17953985395791,35.593959738255975,34.56426671559912,38.70089581510496,39.7747365389652,39.6614625671451,39.54559272721975,34.47878665100538,39.129033640555875,42.123212135500374,40.55361910697775,44.36886740961531,44.2187393787827,48.291155649248964,48.3731323273003,48.02427560003418,48.38323201610309,45.19635444181624,43.42093863947497,40.37883677791083,39.35924946706109,38.568091687907724,34.02168887583285,33.2071760690157,29.64067697642476,26.998565103138407,27.539720833710845,24.651701011234888,22.53126724459651,23.275751588759963,23.08381908232956,18.643400310213973,18.619425057481802,20.24226812489516,18.589156354574065,13.990935657787004,15.639939008089923,16.183521289832672,11.800083848677868,11.525675771871265,15.36021661208856,17.510153107976038,19.58980962191248,24.247165070537694,23.201125311452206,24.334147613067238,29.436300418997018,30.07384887722461,34.19094201577513,34.6479354165032,33.620664334703285,35.794979340019815,33.730874001214424,38.63283111174609,37.703814421305495,32.90470326670444,36.04283035715929,40.01854287510969,36.748132621471065,35.162177721845275,39.04254870992483,39.51643043786965,35.35487688623805,35.78865190693239,31.006251787942947,32.48664516549988,33.99423775951672,31.121943743034297,32.15176749355767,32.54236138446703,30.456161279976737,28.03410899450296,27.344211217432093,26.67017619833223,23.49623774730899,22.003293545183084,21.519515467286894,18.75305449032608,16.90578256744449,20.672283917604776,19.200385065621266,14.400073441189415,17.410537391670058,21.087306503179498,21.876631908978972,25.16415671732535,25.57497448049502,29.704457423345875,27.63704412414802,23.73605054135175,28.39106406416041,29.875455878414645,27.038885804583852,27.650427749798805,33.13029174670471,32.20273669040346,28.41702990877317,31.64282167152238,35.75022852741633,33.865148521425155,31.27808881373426,27.213441698316228,31.636521102594386,28.54512171523053,26.37718029337667,22.307472453765637,20.398085971809337,15.950093819002264,18.924974218763,21.307789557322177,25.13448342146343,25.734333449273272,24.618753266715018,22.020554390293263,24.585310774554667,21.774464319844792,17.492375177134864,18.95460147609548,17.42941706781638,17.523710151032727,15.620658140337072,12.561137412358644,11.479013758442404,12.871130202308736,8.626468433859491,6.281119692294311,9.2169023460786,11.560233722133155,14.944821420721048,16.750842499773494],[9.158375030466273,12.142192957098935,16.317906628131293,17.263825168530534,21.81834665057433,17.175441350092346,20.599728566605172,21.038455688651847,20.59688678492674,24.924713838242788,26.072363066735303,26.2005504916444,29.497683973708426,29.008412419297002,32.49531600509265,33.957037283615335,34.8195185812795,39.224557539270016,42.887992744607324,44.841374393263024,48.68050577867602,52.25287690811413,53.65992902547487,53.523726208258104,50.37317776944987,46.43405326849748,43.95602670851976,39.76771852128783,39.112739647526105,37.07775019966998,39.37363430698587,37.36085761228285,39.58745171263645,44.19709336781238,42.937389343510375,42.8262081603938,41.01868338685673,43.84445006724097,44.14915534159118,49.47221322816606,48.03810922064031,48.847374564650906,52.82401691628529,52.958487116917894,55.33119377048144,56.55066473393101,59.7003972758899,58.148551970491134,56.622644281986595,60.90304654169826,61.401788240328194,61.435788529412875,61.29688489555283,56.955425420670835,57.16603385209917,61.23201309845004,59.437109988125265,55.928026950159975,59.244786167716484,62.20334489880602,57.95232795423924,58.096767985586794,55.00688472904971,57.53360531203501,56.16427174443577,51.9986136201712,49.47920780777466,45.51640416915865,43.76135484286429,40.21539354335462,40.51954205638972,42.62352122670287,43.59505714379628,47.557063855931794,45.76558222284991,51.33017826321915,50.69590595813349,52.13768862392823,51.55315998244596,53.39523182605799,50.46640168976816,50.870198099887475,47.5006397322687,48.412575675891084,46.77480294876881,44.92756970809782,47.431999979579174,46.26544321685745,47.151233257549976,48.20342770741564,46.41314654481288,48.885560794405166,44.826361544807696,41.75037359783644,37.476439582708544,36.77826670841577,33.078033275261205,34.359478551036645,31.15634603041025,30.015614823736005,34.480209322617945,32.30069675738475,36.53631637427814,33.94922089237226,38.29750573802738,33.690041315356964,34.915075218435184,35.4492179069367,31.26574450310843,30.08503021940901,26.477048469840923,29.003168987416917,25.887511230831525,29.112059787771397,29.915252670383882,31.920355952135615,35.11714408491892,37.508531516199675,41.28790812760294,37.983159929015585,35.66929689788329,32.17247860771386,31.51060402997755,28.705461419666868,25.295322636833568,27.753747886034354,23.53889569071933,28.516043451397486,29.944237663482525,34.079662082457915,34.38217502539042,37.3579088148314,40.09270363125394,39.715433961118336,38.05716555187447,34.843610823411325,33.62116945211965,33.97551306677181,34.07222222422279,36.23217643827696,39.39273429925417,43.688662001286175,41.747216619969315,39.01349967742538,41.55517601274967,38.543447659612454,35.71541123781259,33.09355310823001,31.283062665018324,27.129397544802533,26.121624540358997,23.413036165138074,25.43555464288858,22.200595522553954,25.510381933683426,27.956246173056684,28.531684375816994,29.35382214055452,32.288144333870804,32.46270888981144,35.094269567280996,38.36000177176252,38.511296953778555,42.361881387676306,43.801356236645915,42.679490308181975,43.869934700658625,46.45393288915284,43.189368037472576,40.435549026327124,39.520204257645034,38.155852369523025,40.45909511478022,40.21960779260489,40.403782541574245,39.74999768542805,38.442240205251586,42.63892205593071,43.89391853039715,43.9022630286542,43.92673513960015,38.92308767955374,43.68608575174025,46.711820945102914,45.087677038529364,48.76754560820204,48.44743074142035,52.57587095956127,52.641318951274314,52.45899997326313,52.87451991721289,49.726380081187784,48.00753945390923,44.99359205474212,44.01208950236751,43.20903018668585,38.636471332647695,37.84131573255999,34.20938203780259,31.644407574692828,32.009767002367184,29.13964532787635,27.155816225889577,27.705041012752066,27.326338326968227,23.04827951772513,22.939254781791124,24.255220438851865,22.43088050865554,18.10718163807196,19.308484749967754,19.395922304425053,15.260545223923708,14.846643605853284,17.89314050159109,20.49747127160869,22.077472801112517,27.2077339277021,26.543622642540758,27.34519660657704,32.55540386476969,32.77909406675235,37.28949735218168,37.88847409844391,37.22676124598601,39.545467680533214,37.744851613004016,42.664165017258604,41.58930920173731,37.050641656527304,40.31236879643795,44.19078471305336,40.91517884979917,39.52268342498242,43.476676549307165,43.7665482618772,39.58543879467604,40.295542087531096,35.44859165165845,37.0702289096174,38.4663811156427,35.42275006310422,36.40581069692947,36.47483805375367,34.567274196654346,32.339700847500545,31.224337941409658,30.44706319062815,27.642724538984957,26.057319179488132,25.066719427841306,22.266917207369378,20.719294664986055,23.94462089075154,21.998815900385598,17.364691448683676,20.319924343833023,23.67695689272301,24.91249724429035,28.406622111082587,29.28213765529119,33.306083886628585,30.900910238908637,27.453461412085133,32.289551849852515,33.47407307182896,30.606985045831617,31.66392222120448,36.959500122017474,35.70179658349797,32.16164626585822,35.6702814533522,39.490465239628136,37.35124821437621,34.89302055331975,30.813598002069767,34.89108494093378,31.623726245531586,29.257536953302704,25.431614258979575,24.015426777631838,19.749576994985,22.267566573333998,25.007144266427076,28.754091411498475,29.725878163648787,28.819790392019712,26.502470368886726,29.209740150341723,26.400717191854092,22.163007556282164,23.56587008821704,21.83912124787241,21.823752393384794,20.254857387397113,17.123600031159967,15.704693701484812,17.24822130847658,13.286944781022028,10.402055740009551,12.698334459291988,14.491157356978498,17.802146484382146,18.939386585542728],[11.567922409427524,13.677439749095667,17.067375847129806,17.04619947212948,21.13233728513671,15.563306119655303,18.25760990429002,18.265548394078625,17.10082644290703,21.359528731210084,22.081960190754543,22.1793882423792,25.82924172426232,25.181896987610333,28.41036921713203,30.040901245820987,31.191609917049217,35.453780216407516,39.23780002768265,41.28164267922709,45.09623072257378,48.785156314255474,50.188782974020235,50.25077654712427,47.16623903983444,43.14066509061538,40.777718785115766,36.52779139788972,35.60712271527421,33.50460496956154,35.31327285323269,33.53475255244141,35.5543719862177,40.14337288030606,39.11647479619885,39.090378906925324,37.540006993500846,40.528786546043484,41.10374630400001,46.625885315964204,45.237795931732215,45.62512711565798,49.6273454027065,50.01622860685851,52.42669427775094,53.86872145248553,56.90908664499898,55.24038894037153,54.02603741161781,58.35198756349226,58.6246190030176,58.736908087963165,58.42882329388538,54.06408309262179,54.174945882321005,58.09582253001872,56.22439655844275,52.620877680809684,55.849389381949,58.81644315164168,54.45613731897587,54.34535810797569,51.1427369616838,53.62753198271637,52.47158938574692,48.313337908535715,45.63531837861505,41.59662520252387,39.83980112325645,36.13257493866338,36.490918353819886,38.48650066851423,39.364387957914616,43.44083373194617,41.614023083623344,47.11755964956781,46.7226926480735,48.08290886507201,47.71416854786619,49.768900710083344,47.01760452469006,47.721157135140444,44.48317824606005,45.70329777946562,44.07939705818604,41.885678347712435,44.107976710374096,42.81024029250781,43.44645035532804,44.264890015911426,42.3299634844906,44.61083978870273,40.51446288886078,37.45484441150186,33.23443297497474,32.34852303002891,28.715578512889074,30.205146342497436,27.156668777591324,26.28096345911711,30.862967433855097,29.27414409791344,33.45024309204113,31.45921617129484,36.202161235185194,31.867579843443153,33.60342006157245,34.47772291927547,30.496745428293252,28.813979267567543,25.139645155104798,27.035505097809946,23.463331602647553,26.729259892391134,26.89485648754024,29.140709574012416,32.026231242868555,34.66189796676089,38.007201243959244,34.45872553245549,32.239295952862285,28.763448199732647,28.620599726269283,25.954120420820573,22.675821148738795,25.789258515284175,22.169773496862234,27.032870070475518,28.849064682226267,32.746130251587495,33.69580816025204,36.7569019278279,39.22030489874853,38.440557311099795,36.82443180094356,33.317106585807956,32.7289174001838,32.48749393159193,32.320303781820655,34.1012320221189,37.19897246156269,41.283562620520996,38.99280180254382,36.38029737964854,38.78872851815966,35.557684691843775,32.88853879537983,30.117334151773363,28.559078040728892,24.20518992883431,23.586170017209394,20.339243886964848,22.679257195228118,19.135165867715642,21.981661213637555,24.61632836729568,25.108276107022675,26.46115475518112,29.100987483966332,29.972977683770683,32.744392819770894,35.546599092135466,36.092241687086386,39.8341499690674,41.74930903353221,40.92158506719095,42.40842116895473,45.21451229365321,42.25259714986467,39.234362594393566,38.26466020825451,36.466288808392385,38.53005779679547,38.065284532537405,37.930233259169555,37.2073968739103,35.45777026653488,39.80188020104275,41.22051402498937,41.50423693908224,41.7690447356111,36.98741840163524,42.072461556158615,45.20809793028077,43.4309115436301,46.69139785869888,46.035918364017,50.28160873970782,50.537696388167625,50.64889306375094,51.36171961160204,48.22541006909185,46.88957201830537,44.05253315055087,43.32696376585967,42.939000389531905,38.405021616832194,37.84982617576446,34.58523407762878,31.64738470380471,32.66672467901342,29.462278364601744,27.258185357896455,28.615794478751624,28.48867561737491,23.87441084779809,24.10343146098571,26.01419433915966,24.11329695262865,19.735081537925627,21.566005496440603,22.06457233903276,17.606836520709,17.42863492024933,21.170655011418948,23.38651493359789,25.401234983707692,30.13559270177456,29.156923562569535,30.234401360405194,35.3262263935906,35.76032671365075,39.98678497676346,40.250546775795854,39.190989409924484,41.1638389649656,38.881364201711506,43.86752473720254,43.22458702103848,38.38058696297127,41.27251144619699,45.470390939624124,42.318664117685266,40.512335003977974,44.2581291763685,45.019249835546724,40.87892544510588,40.84587555827195,36.26814420409228,37.25685599701776,38.889754417379315,36.117557117026806,36.70616660488657,36.99379209120973,34.49885669622596,32.55885807591085,31.9874026052314,30.689399239847162,27.616477820850058,26.803162408259432,25.929645067405474,22.90599099666487,21.84019922985637,25.603324176013622,23.66183511540243,19.125090515023302,22.700899664110054,26.17242864001045,27.333629022203226,30.459559848706018,30.795149500373082,35.049390574267306,33.217308929863556,29.43336503813376,33.95708288500851,35.656885626166776,32.90974589566096,33.38384559963472,38.91764097547955,38.13132141578237,34.27256897153171,37.35570778474071,41.60801542508234,39.75045449693543,37.06182204212862,32.89382156885412,37.296401488453526,33.99382994774826,32.061365925549126,27.80518600482186,26.123259182392438,21.510954580872117,24.07322690942348,26.525326577149432,30.38783169186826,30.937286391278793,30.057370390788947,26.90931712729117,29.277900276219526,25.82877198317986,22.05658020574665,23.03962210358278,21.668683704283772,20.664653575071174,19.358424119630712,17.23965249139139,14.982023313350933,15.551322068346254,12.912424139792082,10.005667471354293,10.80808218913085,11.641789930165586,14.590981574698551,15.434336924510953],[10.16767345998303,11.668081534377274,14.887170222068212,13.980714285244144,18.321636171238232,12.939927409234503,15.686292357759603,16.429445261900945,15.038721214990124,19.03524465944551,20.140405128373203,20.82389659913234,23.848117959905565,22.887833648247415,26.558351445385885,28.238340609672292,28.905093928942517,33.22493025528252,36.72899587515318,38.905285491592004,42.63376028311168,46.34410493816215,47.610594856402294,47.49129795907249,44.46080273573321,40.41374294751057,38.133620819827065,33.928058992898194,33.34121534760121,31.575320775918243,33.64451776221326,32.129392532611725,34.48491391941543,38.92354360544074,37.645811274597065,37.25250903597155,35.82733629704463,38.34924258235983,38.74400027916019,44.35594434980398,42.64552637769544,43.14886419211526,47.24626038166669,47.52580901834248,49.77896655616817,51.119004662160435,54.21534601800425,52.7236095751353,51.434624217878465,55.79705581028834,56.24642718672829,56.47898968940302,56.2620968055182,51.76838536712219,52.167581541772996,56.05869594009697,54.01239324751477,50.56509519119936,53.943044879628815,56.711843970817156,52.26950784239986,52.344129306194816,49.29312365471014,51.58243229033295,50.242445602165255,46.170477378600914,43.38477500257506,39.49057957660816,37.521052195739365,34.011847208677885,34.19903281286758,36.28860489339774,37.38636807694215,41.3420188375932,39.75546216901709,45.440013558105164,44.90493039575085,46.57134053242939,46.07161093268353,47.972065533607,45.34770041517137,45.84126137913129,42.84056107746171,43.86244482244469,41.955571831277396,39.91931710431218,42.08502632988945,41.16816795175109,41.59551183663261,42.85161740901274,40.77607866623448,43.20822521577942,39.184903470273056,36.302684735506666,31.892057444315014,31.22663772481959,27.338002711646794,29.164935372464953,26.165523083537664,25.931955258685417,29.925787268113073,28.49936102234151,32.2308274641575,30.263820790308838,34.772474040259105,30.28242950285354,32.27427627538166,32.851427683405475,28.778725551459278,27.318405099900186,23.305496409417355,24.89569893057631,21.1764720517167,24.087722618441045,24.26061852051904,26.21781759274063,29.226315461256064,31.607240565500952,35.152529543957364,31.84153719687455,29.446264069506313,25.993631332245435,25.50185019803624,22.88947222389171,19.71468001583171,22.863034943610725,19.631628259793718,24.53596227246152,26.5758191166492,30.678026254223397,31.419290557552053,34.76730319301481,36.9602804548535,36.42891126172499,34.38176616525284,30.72653728142952,29.945588993660877,29.499721562723398,29.139263695527337,31.071696440545857,33.96168995960562,38.1503978093183,36.0162692714667,33.460460508048016,36.08314853830573,33.04526307828351,30.26613927646568,27.798893285163967,26.44333283818115,22.23288685742611,22.08540150440241,19.246803046981334,22.291854513065395,19.500220359609436,21.94135209868532,24.06379041377797,23.968405229076424,25.265274247585463,27.54049425366168,28.250736152494895,30.510969279922065,33.30616298508635,33.42726145122933,37.3500486720798,39.059605961560685,37.94656717437189,39.611721155451704,42.270350493126315,39.340885189636204,36.22086757174333,35.432813620113286,33.62956593645215,35.984257011051234,35.76695426990468,35.84393863612746,35.46608668113875,33.73033097036534,38.33522160175668,39.362838308805074,39.76495335768177,39.62097651228685,35.05181175207145,40.035651665798795,43.04744927921245,41.087658834887336,44.31388613759828,43.58181677143828,47.77683768089382,47.79423457200743,48.02107120034404,48.69245300573466,45.680951606287124,44.329955137985834,41.548647370877,40.96479001168386,40.65940864640479,36.03393967542331,35.782993999161825,32.58500976840141,29.837661480776127,31.230338499620906,28.26600446743207,25.658815746754797,27.01135154729413,27.427636854816527,22.73096002256697,22.30025177668616,24.794316998479253,23.603347852305514,18.62423112058582,20.43143481013958,21.57598232043163,17.233017905306983,16.339903830681465,20.47869319891038,22.23623333917176,25.014536955533924,28.90079841442878,28.106376465168534,29.664952324973346,34.71585777620007,35.648472922866475,39.566013332329405,40.0140106957392,38.70337385184011,40.698938780172035,38.26270810295075,43.13788694820207,42.44913805392204,37.28063161941196,40.16614294818614,44.27833646885814,40.9294175913017,38.97241761420382,42.62101622660928,43.28419146237155,39.06894235501951,38.80180506734428,34.47963558926755,35.65002216687839,37.576426001648976,35.159660481192056,35.98452413566533,36.741488242807236,34.07895914305187,31.787375182131164,31.783583977306463,30.721391490199263,27.185118678249033,26.39389247877807,26.169858241428255,23.249214429431834,21.727298789207467,25.900022474821707,24.452392872069595,19.755355004428317,23.029499966026655,26.751745412560023,27.43428651367263,30.54058257927164,30.547189314042598,34.7858828733586,33.030420835419406,28.78028562925831,33.19567777859255,34.92420933596632,32.040654464379344,32.100635844867085,37.81671741445793,36.99145827584203,32.76410914660207,35.71093135902277,40.15250975706789,38.21206762509438,35.275774388774764,30.945608282466587,35.364640688081444,31.887946844590136,30.397382790130905,25.80842708209485,24.316686743041128,19.535714614642863,21.707596127072303,24.113305843353128,27.97026572494051,28.49054338235195,27.983215085087505,24.583546920900382,27.14261267513697,23.433741351406002,20.04419593882903,21.64931310970805,20.839392692219484,19.81097190168027,17.68974669324775,16.129913214564137,14.45023772839259,13.887856788433906,11.124251686285463,9.738338194687556,10.721984968196995,11.584216884461108,14.341281848557273,15.674823605248429],[12.322906980100809,14.37359418038092,18.16318573433571,16.794372089610803,21.633734630645666,16.540219158625845,19.105717523091556,20.008131106394277,18.017369389479153,21.62174004190201,22.381026331707176,23.358982721498386,26.521477426661885,24.991299013837743,28.607285435033337,30.632015959564168,31.300841817162578,35.418940469147785,38.69166229573636,41.21901510260662,44.76505574704597,48.66626358446525,49.71177559121016,49.568149780278524,46.755589963281345,42.572915350925925,40.59737907840014,36.41420917690298,35.891341799183756,34.32086847455574,35.84083963630253,34.80419233572038,36.93422496205248,41.292019804999626,40.272575698337896,39.81902047663987,38.75169482837729,41.151781342501074,41.64279292373607,47.444275065243446,45.49229617106459,45.74448277086538,49.943531687444946,50.353382831586295,52.45675363767054,53.83668969828334,56.8950510719705,55.5261306239338,54.38405871127747,58.788131818883166,59.25505671193016,59.626112134869544,59.360593875385035,54.76716749153024,55.28016441596035,59.04540142785535,56.82406440357497,53.40018477730515,56.781875045642764,59.42996052922474,54.81365598361336,54.709843005969034,51.619468864034054,53.65047857136787,52.48121214096954,48.5273011166874,45.34964964412318,41.51290514717957,39.19120612362623,35.615696782903235,35.54969189319681,37.27573185236416,38.68812922761336,42.82092415592999,41.543382006447516,47.24131174891113,47.091933292965386,48.803241786113105,48.567468540698556,50.6466702390896,48.272635089659786,48.93077418794715,46.12135342887515,47.25570021505544,45.23815439444132,43.072064156977724,44.96550779537645,44.11301435717656,44.16980920578631,45.31540299457298,42.9594288067443,45.07678488802718,41.022185062801185,38.263131739704825,33.924614622977835,32.89563226820833,29.086788233528715,31.470147563076047,28.73699165201905,28.7427193209737,32.89902732652682,31.92095682307107,35.59469811536297,33.951154921199425,38.555580371360456,34.1283543509016,36.235390636733435,36.78403167463139,32.694785448348846,31.272569471508287,27.192877299843136,28.56041269666308,24.653381578852724,27.290246049449642,27.04221908877168,28.795573662214988,31.637336472938376,33.77474516629943,37.101218433119314,33.88846989643781,31.300422590795705,28.0037281042048,27.52265075209335,25.285535724302026,22.481451461497354,25.950902361264433,23.207265278340092,28.090318158562724,30.278106215707123,34.44965897886605,35.09003945851832,38.568755247890046,40.63420709360569,40.211156736742524,37.94196334103297,34.16597863318452,33.24390717824119,32.552087312929004,31.847556906687995,33.864480717933304,36.29772383250033,40.52153899984293,38.41380280780473,36.085972564856036,38.873005041020534,35.893310066608045,33.15319972915133,30.866586929973682,29.809957614574945,25.595416352286048,25.775565004039336,22.73279368668542,25.836426519586116,22.64112274905724,24.88941508103389,27.281109518448712,27.158076625049045,28.793416652478598,30.812903888411455,31.865323804910933,33.96081894882522,36.49490412142001,36.50316758772578,40.50542523751713,42.235625798052695,40.90373146678555,42.829809305198175,45.33541940683104,42.461077671724254,39.22487516817381,38.65499044032532,36.79465352007472,39.3418320867564,39.22352692847114,39.28642463262722,39.01282564438306,37.04990080532027,41.78845798765116,42.79103284750796,43.3577061165014,43.14270949752381,38.75185870875362,43.750368665061266,46.7149155311141,44.630683362636894,47.71018464140001,46.78802092317522,50.97785673841514,50.85559022542247,51.29110524889178,51.98728916936658,49.089835481815925,47.7745949453699,45.049136356590246,44.55810981874849,44.260583628597466,39.57477785158569,39.46207889050751,36.20429284797459,33.63480492223018,34.98642131771603,32.15170218720728,29.501334531600286,30.61338954995118,31.08400038377447,26.466389028915827,25.670428608717984,28.118693766944517,27.076985435028032,21.987592471355782,23.420872594515075,24.474827641039738,20.28601452948093,18.98982119356915,22.73858506134197,24.67198269135297,27.417461825751417,31.323541728036144,30.93931788844604,32.45102180439117,37.61119955960397,38.43799207041272,42.565043214575546,43.23549176852559,42.122628021388884,44.276284321256036,42.00431557156042,46.86290192415878,46.00382220211387,40.89679335387329,43.92015404658266,47.90593023495483,44.43976503122799,42.59658676887052,46.28484600491213,46.71529712893035,42.43353607692451,42.34331701200001,38.056250895931825,39.48143713211433,41.433712532962026,39.00131668149071,39.92065261168784,40.605780259996806,38.03782393830676,35.72882023568568,35.57936737792811,34.55980904363959,31.127650673062806,30.19623452308537,29.828738334693114,26.907912919473358,25.361592293175654,29.309536332446097,27.69431767004154,22.97450891205285,26.095336684987288,29.726360899364767,30.548736155012,33.85836563108521,34.123361821378914,38.2906692507262,36.252005540454476,32.13822972886975,36.71184090383247,38.188514878532175,35.18874689316847,35.46636281384025,41.131332538299795,39.97884767308747,35.77839779359102,38.942839533370226,43.21824643294525,40.9957036618528,38.05114724713377,33.6203300030105,37.73725609303233,34.013060846607345,32.55285160524632,28.021791108376462,27.04156142571982,22.339130186135066,23.976711786398223,26.688668266583022,30.464475405429376,31.32920586831434,31.168354423035417,27.975854283716554,30.772816597621244,27.043512490478797,23.777806988837515,25.625857677680038,24.807595609974697,23.816955486927263,21.644537710972703,20.01486755853818,18.405248111556883,17.839390058084643,14.964112288656587,13.524150178157377,14.516055139368618,15.116444538681765,17.671816291271316,18.522801344243142],[15.326805429877467,16.525399887774142,19.494262441885216,16.935926852673827,21.303329334474032,16.03217751172976,17.66785598962199,18.66713814108057,15.704849037669327,18.63651153578266,19.068844900841324,20.574278265033204,23.554070505677018,21.42902767394293,25.02251005464179,27.345119613841945,27.92632263626937,31.813124031964342,34.88787371911539,37.687800948306425,41.06250037717018,45.11900649334521,45.99315532106684,45.90368374023776,43.27551359295102,38.98840686158418,37.29601098428755,33.14537859762271,32.63166303119647,31.32687643954724,32.35810904377601,31.91061340799421,33.97531443359153,38.12363229037773,37.23788691911542,36.59498516437027,35.979499179608226,38.141434556148596,38.78155910190882,44.81161824895358,42.63694747806527,42.506214509391505,46.7839118681564,47.40273534960102,49.384051822530054,50.90893844507682,53.86632137141649,52.54540688507739,51.69455409094157,56.132289024416366,56.50390646613666,57.05996274163259,56.6845415574903,51.98551238605868,52.61966046103203,56.190194060068286,53.75381845050253,50.36565952336241,53.75238663142945,56.240739604291754,51.4411067753005,51.1767032542496,48.09277480932462,49.86298615182434,48.824964658236134,44.995143383687235,41.49574815420117,37.7317704221,35.155580136287874,31.571965545804236,31.338938861028353,32.88913927939977,34.475944189972864,38.66879912461553,37.640036437814416,43.377403084897054,43.474248070711695,45.32172501941719,45.27426082181165,47.47777557958334,45.44014247149767,46.26740543775966,43.81251821826998,45.10421783042608,42.91605888726535,40.53281111244508,42.03105595618877,41.342889815848814,40.91933772327209,42.105630220277384,39.45344388945469,41.3837854523755,37.368976506201214,34.821120786871745,30.47610791087957,29.31699941725317,25.465460251337987,28.468991215686582,26.080800661272523,26.865675612192973,30.659389823663005,30.469029894804745,33.69298297102364,32.709229171199084,37.41853103206338,33.247953486459735,35.897352156008964,36.52679185637603,32.63749198365748,30.993976633959246,26.78759301259707,27.328437342917017,23.020513235247904,25.258704647632676,24.26331855309627,25.925097153786993,28.424859638968943,30.499601411452403,33.42956716057604,30.211251275242404,27.55268359399244,24.405692416794317,24.2185558927742,22.36980223106427,20.03023654649321,24.131907077622554,22.45281324444951,27.040929522762216,29.656340841371247,33.65347606038755,34.665178856817285,38.335427439767706,39.95768877910646,39.38190844009987,36.87728181424579,32.810246508656526,32.30443884859519,30.91217519605771,29.755573354217937,31.50091024361439,33.54725012866223,37.59004592299264,35.29252521251594,33.22667023586317,36.04147946020257,33.05422259011092,30.453783226614288,28.347603009936947,27.790373085511863,23.63693139063888,24.577917705966197,21.4170814262613,25.107274159099248,22.173956185643025,23.59441485811258,25.795147196104754,25.196132920846612,27.314557820809064,28.68657348725721,30.326511093434547,32.1128580788476,34.09555635258934,34.14829570826957,38.12791159640857,40.12962918769197,38.841053480376125,41.182200976343594,43.71788367540255,41.179306161997594,37.67286298273481,37.234017654571325,35.00816988198385,37.53341255070737,37.40314980546386,37.31577554046221,37.23520690135767,34.86392950047533,39.8618980349662,40.733372443574765,41.64815470453274,41.36896702204841,37.419289869466795,42.54753337678185,45.47764953685106,43.150021830008754,45.76921485942126,44.46446873953803,48.68073519830344,48.544613624659156,49.36269842177604,50.287797031984354,47.53413466157204,46.55942484813107,44.063284684184055,43.89596792706723,43.988373344850196,39.34056774194137,39.623283329940385,36.73604548545275,34.075131576186905,36.07351680840291,33.20280321240168,30.246376689233124,31.868184961817985,32.777741932923725,28.02298319907375,27.112218532006874,30.159534468486008,29.424517145063593,24.176708035212204,25.898692772793744,27.423627922647835,23.205031070165077,21.797536548965372,25.95061211403692,27.44825897154633,30.710074792095657,33.96000866057855,33.50278206248993,35.37805629166008,40.40408366829973,41.58074094705395,45.372798108445714,45.92545678415545,44.45612007080392,46.384938680850944,43.74315937129706,48.5425778269447,47.952323562301714,42.52587028231304,45.26537031143977,49.380715411576205,45.91867826654249,43.73236742474899,47.17669207790924,47.86448504933874,43.61269557451498,42.86630587069854,38.993627633160536,40.06150240113113,42.32309833273939,40.30719151732592,41.064822131352685,42.12456550784656,39.1048646570048,36.8583589813233,37.35272559092931,36.113568756971155,32.35228781008687,31.9582158038425,31.95518628981097,29.000439234935694,27.590166440659196,31.941285453837917,30.54176599073594,25.890170721039578,29.182018122639903,32.93427702512487,33.519891743465976,36.57783010134753,36.37152595390759,40.626850080108156,38.98801473408344,34.509125703845136,38.78092051266951,40.571053948033594,37.60826895749118,37.31670722150695,43.15802110595326,42.282650861771465,37.738505734935586,40.5195216298151,45.12677975933375,43.0468564804484,39.84963403605905,35.33217246343383,39.58115465839896,35.76833184129793,34.85690690680179,29.97328321260946,28.993438592733845,24.147962697595904,25.485214357814666,27.91663800982566,31.65191200976418,32.22206219426408,32.338503573565866,28.52460679641714,31.127438194295337,26.86771958780423,24.344533464061655,26.17883016946309,25.93109981504724,24.275078931296534,21.965990620679413,21.411383126985115,19.643658676684275,17.83014306440331,16.120465876849742,15.488796296644596,15.543305788510079,15.328584144254753,17.129123451896465,17.8048538843401],[13.614011416900635,14.200449962002716,16.685167721945643,13.841578445676207,18.05728823249468,12.894672433267969,14.608758699948808,16.018908185059036,13.304184574145932,16.294652949157623,17.25823020449793,18.940821985467156,21.40960102139369,19.46661877095496,23.423641243886724,25.528087026067073,25.78055725961237,29.86533305297712,32.91822062512463,35.5616935649087,39.01702860847384,42.95422591045161,43.896205750877115,43.68996928876423,40.937484861735506,36.72492236079058,34.86436631883472,30.719930858212976,30.39717078320086,29.169868294491653,30.77519225231815,30.12921815811783,32.55102884221134,36.67532061582747,35.4538161395399,34.634445594194304,33.82520794773333,35.783018173858224,36.2265030578678,42.172838051757566,39.95748748689996,40.10652020292427,44.37812706399079,44.81914997002952,46.805228128821966,48.220411574828304,51.252705501291594,49.96604345432704,48.93777987809255,53.3697182691283,53.858172804859784,54.38172075351409,54.109367804150786,49.40281206660646,50.13536940931433,53.79010864469503,51.379664111417185,48.07172533901493,51.55084170296426,54.01049570632043,49.28874542529087,49.274926014126194,46.312046310918895,48.152415265392285,46.87043146780452,43.005167416493165,39.718188804336,36.00302089308531,33.53299041410763,30.12630164449895,29.95556803283894,31.831292996547987,33.34647291157698,37.33812549026025,36.241208722542304,42.08256944068658,41.81314259720952,43.80998258154054,43.48943421806706,45.46658894468756,43.31204452972446,43.882688515160844,41.41755078270622,42.49403804381424,40.216880454655666,38.04273277251484,39.71860384345916,39.21574420373592,38.94772210438757,40.47678407823572,37.95174523798292,40.20100471430527,36.25119626786538,33.713922407503986,29.2096345379508,28.445448655068766,24.39113694382386,27.174511953730043,24.618861102403894,25.549753344594354,28.914301597366663,28.461495691955378,31.486108563398858,30.25583995774741,34.73011607936408,30.422702625775482,33.0855601409069,33.539345869512346,29.614845822566693,28.12157290520395,23.802899617796967,24.32923704317541,20.08691218216022,22.25073036969666,21.566146263496368,23.149404900150138,25.884058659826596,27.93504897049245,31.202346015175916,28.085217284364752,25.415397092043385,22.155864630347054,21.66132618826223,19.5805588503511,17.060209688991872,20.972518976511424,19.25431805665234,23.854786441852024,26.482266610689784,30.558801776919026,31.45153130351292,35.184867852673804,36.751822305660916,36.29070066445267,33.67489452200208,29.624268470563507,29.031129597568018,27.707362249385383,26.652862078999352,28.485990370692114,30.69869163751141,34.82730966441233,32.64271615026323,30.444921642442623,33.311837792594915,30.42057482986827,27.703237438764464,25.68199285983982,25.041096844273902,21.000966383441824,21.995291925776684,19.250729824336744,23.221478286727407,20.940062587032926,22.33129155173164,24.077761114027627,23.1934715627979,25.014463681303386,26.36442748215506,27.632671607997136,29.207340486946094,31.393699918566984,31.222321976301984,35.278568924440826,37.0980975649327,35.74064231016203,38.00008088598831,40.520871949465274,37.93418668645486,34.46167097177202,34.00630170716743,31.852306992805953,34.45972383198829,34.43565889552123,34.511432131645236,34.567328391799435,32.39319536991676,37.43226817557838,38.08796933613286,38.934874089669385,38.44728557050206,34.487804253704695,39.511795589429994,42.38805072505121,40.05153803445031,42.78749666910006,41.595406587495106,45.777106843260334,45.57112298574812,46.289707148855996,47.14235954573203,44.3862009311366,43.33932591169869,40.8236350194584,40.65407155138992,40.74579674300342,36.092121612366974,36.44098781738919,33.606839695910075,30.99827199179545,33.15069340176521,30.38511708182925,27.286171196966652,28.961079286258947,30.09417949841269,25.34301795558013,24.268197149583507,27.562098121021663,27.11489267583485,21.735059224050445,23.55738759769887,25.385375979505383,21.25397345230921,19.72909755989981,24.121481669099452,25.30654852396451,28.874295238961473,31.69547521225024,31.14390837130948,33.23594847826279,38.14890571499214,39.59648023047323,43.12941521892542,43.67240748162457,42.019319269206036,43.89355869240785,41.145922648702275,45.86943593444753,45.31282532667488,39.74964604168543,42.428450617882575,46.5222429641133,43.03067151695184,40.752447360889384,44.12870668795645,44.8487777807691,40.61048011400633,39.711769930109504,35.95109652617702,37.021813336189446,39.3883724053338,37.54792480648657,38.40125540393245,39.7020569126927,36.62084170393789,34.20111257323222,35.0001109743934,33.90319583927886,29.91953046334413,29.556427189425772,29.922167516899172,27.064498366435117,25.44852783204549,30.003791752103258,28.92187075862767,24.269545854277133,27.419003493379297,31.273180156562077,31.573419690907677,34.51378226996549,34.06231638112694,38.29531892570497,36.808796118206395,32.104788339656494,36.224037842295346,38.10726504232391,35.154506472465094,34.58920219902633,40.48775543538699,39.73588417049307,35.0503782347514,37.6581794717211,42.38876422244908,40.40839330373734,37.12874997048369,32.6203417839165,36.98624214513286,33.24387271308806,32.51775081585899,27.506195568419663,26.393270231588883,21.517806342574996,22.876690065921984,25.110903289655973,28.84438566293025,29.239397590641946,29.373483433585715,25.40038685727831,27.980729539909134,23.6594875222097,21.308030634595003,23.352073581972263,23.383244083405266,21.780218140118013,19.092380437931794,18.855514940214874,17.423596594987192,15.095804002030683,13.463895240118525,13.653906036688376,13.804582440958779,13.775742221652406,15.554469274971876,16.760457088610295],[16.84560627703074,16.809231571409736,18.590982581752932,14.605159062679403,18.32121523272609,13.76327020033458,14.480926377554143,16.381040465336667,12.869475496641492,14.640839212024838,15.521017750992382,18.07884453247707,19.812628970543255,17.039554174735226,21.220127541948095,23.611603857724038,23.404000371955007,27.229956956147525,29.820562137816914,32.82788452193569,36.02245006660781,40.106015621184355,40.77193344696519,40.4704253513699,37.95632491187563,33.64483106866647,32.14774585223824,28.114700286409416,28.073698251214086,27.366910635635612,28.64752247997797,28.73577567948395,31.240023122075783,35.02431252402317,33.79901495967657,32.58781662082154,32.283809896497566,33.68691291862226,34.13012616006335,40.27756879021865,37.650648919172326,37.541140703398135,41.92407612042991,42.46829061705281,44.21389487632476,45.66568569960093,48.638460899818114,47.53652377133436,46.70509931071867,51.167764223865326,51.70352139966563,52.45938898288929,52.15904299600857,47.30409235716493,48.325413537409425,51.77746434032028,49.08306025974714,45.927714871317924,49.48495943238141,51.665873246641816,46.75184249042069,46.71163922953501,43.86685364764583,45.32452108202533,44.052321837122335,40.38552842701888,36.727138339869,33.21637657188465,30.336673359422875,27.102968874028647,26.60960197231624,28.331322265599912,30.208934414332997,34.153637039582215,33.497000286421965,39.44610513665256,39.33334880088503,41.62785014743538,41.40711807730345,43.386891374301925,41.623468120014394,42.20433643783037,40.20657735499796,41.27603078294365,38.704577716122195,36.47969617521308,37.753841600932276,37.64291004500712,36.817670567971895,38.63376545705946,35.776786345885405,37.91009705256948,34.083735764922274,31.88642540113421,27.348539062704262,26.59969293072579,22.453082548438196,25.96451116017965,23.831291867998488,25.71031346837154,28.38508041015893,28.66667738360894,31.02170390130995,30.355910849857004,34.66977267863717,30.570522012114214,33.69202180440109,34.021035312942715,30.28548006530632,28.822437606829652,24.38860322343594,24.062920729384086,19.583726993167954,20.99393953255403,19.61150612845177,20.774929503537756,23.22107925157307,24.921601596867824,27.942375771995213,25.068818540034446,22.174226989505968,19.153464611315503,18.613024261877452,17.093892097810137,15.316904287422275,19.70412727800153,19.341764583829118,23.490166657989665,26.50240491903418,30.461321753758494,31.44614356648013,35.41401842096684,36.45907844224368,36.07069580904945,33.03447314161538,28.746283590751627,28.324754593098916,26.302205061730803,24.683956940032076,26.39008753924989,27.986623790003367,32.01462829837368,29.824370865631344,27.958549364618026,31.00463053638571,28.306764712879975,25.67935267619484,24.121639892043127,24.102081536166878,20.386186767040115,22.267554694847114,19.808834905520712,24.337448817651627,22.62437194373373,23.210767997400268,24.51519781969361,22.986582132766657,25.099290151148534,25.654016135256526,27.272044170854677,28.20815891901975,29.86873956509472,29.4129037785525,33.52796047585786,35.38943986148294,33.84183875632007,36.55727835196446,38.937920803865744,36.66616510067943,32.95521084076402,32.77513539635029,30.36969646173635,33.149080044795376,33.299855625709384,33.39924451543109,33.83286001025966,31.375415863807234,36.691202210843564,36.99609686889098,38.18056215518306,37.38667571885368,33.98065918345728,38.94535398328807,41.67096220213012,39.05765613864667,41.37783906722533,39.83374954190277,43.96190834625515,43.560445064642494,44.668096754160196,45.65387524711312,43.13000774497782,42.3352622937675,40.061499355894384,40.22562708852689,40.63355138049607,36.02591443215372,36.84164475738681,34.34470439577442,31.884695818944547,34.58015074302309,32.01011683136029,28.61124197248971,30.501751264543522,32.13890976917801,27.44257187107798,25.962538652014146,29.755298975369186,29.82897450443391,24.303217883143642,26.124364743739815,28.383219008954335,24.454337740449436,22.612860889361333,27.104227281642633,27.86019142965366,31.90843201822939,33.937106857205706,33.51893011471677,35.969757882387185,40.7206367364603,42.54023751282844,45.74245784587867,46.335539400293335,44.4208291106585,46.17762700171917,43.20866679645267,47.77562650295875,47.334098125783186,41.515275575934574,44.00020648884067,48.05041555838197,44.48804043513571,41.97655094473744,45.101707789912496,45.878791541313205,41.674521355539234,40.27465342533653,37.00358248767389,37.96653698442764,40.6422140324411,39.268212302349966,40.13862053291336,41.848195534685765,38.491754011842666,35.991413707326664,37.385684064227604,36.29435741531913,32.02899689812926,31.97208298092471,32.77399552405132,30.00785274592012,28.334098238664627,33.10449463668383,32.31011892540439,27.734374285891374,30.76520773602998,34.68337182346418,34.69656434826964,37.476063889754535,36.67896797806968,40.868609800606365,39.613504928008666,34.61915848288595,38.45808723732184,40.456870616062275,37.496807439662184,36.45471944896323,42.42434102854477,41.77068501318392,36.79600236711299,39.087028846890014,44.00310933202689,42.04640828975997,38.54468545804873,33.983359028464314,38.27925640942316,34.42555902169539,34.2870102211255,29.056276223711457,28.182834397034423,23.37845120037926,24.16329246464323,26.14893960186829,29.69390755674218,29.93607833667292,30.52292655888864,26.19046221441621,28.694788039667536,24.02702127184244,22.559329799636362,24.85153774022979,25.490804194402173,23.561451888236615,20.547896931775867,21.23271671297011,20.048804387165873,16.683463061643874,15.900869294637538,17.003354785231153,16.741952797902965,16.264663772323246,17.316342545548697,18.44869063415923],[17.853531178067367,17.357485381914138,18.813092906917074,14.000555378336093,17.72985179157964,14.402043621991309,14.971624192827376,17.736405538226382,14.403420112833793,15.290477784954387,16.644031450038035,19.818535934622076,20.50317567927324,17.30343237469504,21.89514234709355,24.266304986752107,23.27914529140703,26.983446910128194,28.944668132848527,32.16853007912394,35.11190570894474,39.186035196021464,39.576224105256195,38.955732297416255,36.61430746024456,32.319545347183684,31.062522094879206,27.23461331998973,27.791504997942656,27.673405200661033,29.22149629152646,29.710928246759668,32.522627946988365,35.993065421959045,34.49959358840324,32.81397330694512,32.7189546512685,33.38225087098503,33.52910766350972,39.67746644688941,36.56914022990794,36.64245038733512,41.10761097128559,41.47322890419171,42.91895799298357,44.17184625507918,47.201550506044825,46.41747108399968,45.47071572022921,49.93400435891308,50.752883150236464,51.68010213361368,51.526166530679454,46.54087698251695,47.97143837570265,51.3448966002513,48.42962405771421,45.54662011319634,49.269037645235876,51.136412084662695,46.154862113786606,46.37162231257081,43.7862924139215,44.90377576043215,43.397577165248585,39.93993590042425,36.12534754457137,32.9415580015606,29.715094613306903,26.91563772255181,26.072375644898276,27.79561841601935,30.075988916623796,33.755956102514574,33.558107463318386,39.62774884604544,39.37061655856121,42.04595334188618,41.67582175278271,43.4157809081093,41.86756745355875,42.1453255460873,40.50278880764456,41.26453718530227,38.352860796826775,36.42644787324694,37.58496111116491,38.016140852035605,36.90512973385284,39.26646514932241,36.27068103109809,38.51508050400581,34.88601794020646,33.00482323446872,28.41212949912152,27.939123503028664,23.69953377463912,27.504007372404107,25.55913196546024,27.96999647590342,29.934035373944152,30.320824016796863,32.11166033202737,31.435776073205506,35.27911859302824,31.102127531901758,34.33123796397735,34.24688257623186,30.50506859218688,29.45344259695851,24.862745899289358,24.20921651714787,19.882191908730178,20.515009400562313,19.17552927084168,19.604723459620494,22.133709601477868,23.15959296864027,26.451374347061865,24.169776190987594,20.976076601144232,18.221408166063082,16.89975135351964,15.788669078475255,14.612857839449676,18.73804619325501,19.20254815097155,23.06665336586788,26.204428798770827,30.303466107218792,30.84896255045784,35.06758172298616,35.7513526066608,35.78853634778796,32.211237219737065,27.87811897193882,27.052326362042106,24.774986850232477,22.776310859886806,24.771906280983167,25.778068539121215,29.957340763310786,28.14926560958315,26.492274420299918,29.879899424335328,27.629662075293318,24.91781831062143,23.999771817375777,24.320951046706313,21.103187891567913,23.433985156129427,21.664934508582974,26.49758838600016,25.452930504989173,25.819467569123972,26.607911467314526,24.587987698084525,26.4679676988342,26.578399157533504,27.855651807343662,28.01111821835291,29.60755902838735,28.434151328035558,32.738612887728515,34.173693429830585,32.11067295101373,35.07186136954847,37.10558932727423,34.8964057862462,31.116977977122847,31.3004055727655,29.005321844859285,32.23398728993179,32.79572981425221,33.23406906472942,34.13489220175369,31.812868076848243,37.282924323847496,37.062690816624674,38.34799457659668,36.99072913790074,33.954827665240735,38.60196000465366,41.0796082937281,38.27788029650117,40.543637625002454,38.93611017370033,42.90332033647779,42.09865142355171,43.35553811592923,44.223185692595045,41.938203893820884,41.07753521623119,38.907896001235386,39.23925204517592,39.67907925488908,35.04727164108509,36.229128423987916,33.82186153880323,31.780936952817882,34.692351460357905,32.54926652560844,28.888470838752355,30.514531739659752,32.63534633880252,28.13011755670719,25.91053680875645,30.041119254450223,30.82706746077079,25.03551221077281,26.56736319381126,29.23394760805504,25.675504408756378,23.26303390858115,27.656912985454948,27.999322724410604,32.53010527203283,33.68923843483555,33.60671452910377,36.403271929322244,41.020194413223436,43.2294871497199,46.15793377466478,47.00961211757081,44.98539732115639,46.82053852821927,43.86629355816821,48.22618416357516,47.63951350278815,41.66088594279163,44.1755592372335,47.97984863249788,44.223198426761634,41.68766734568575,44.67805505091258,45.19790327585111,40.97500240529278,39.48139521466149,36.573667348104024,37.87788501333191,40.779407524258076,39.76458931309748,40.939100957168655,43.01178533051786,39.68932878395949,36.85841188293238,38.62863701903556,37.867769926686236,33.372375172273394,33.18169454604605,34.46263301901167,31.88404770836065,29.831673802450542,34.663088134097634,34.23598043744105,29.64330249946852,32.25586465068205,36.23474398224827,35.89304558194021,38.67623996382294,37.73679630012903,41.768205703832045,40.47022853842989,35.25028962756002,38.95045560465375,40.8002014347295,37.74126889771486,36.42880895757236,42.387423295884695,41.568790189192086,36.38008430808932,38.55630252458818,43.465669525886895,41.35796119912688,37.69099348718124,33.07493536052867,37.12925125395953,33.12892053334179,33.49748011945298,28.16286472358058,27.728770450775592,23.11835941041524,23.173259716838366,25.061592052449285,28.362855341629615,28.696935525106472,29.835551055606956,25.56382342587547,28.283220226467737,23.62110185881568,22.74823091998239,25.684932065751994,26.769690808342624,25.099207288734462,21.460860638819835,22.48253911105826,21.98278021828035,18.13736061269801,17.202615883862382,19.258465681936617,19.351276857309987,19.105134567588642,20.04961326653541,21.448483703113332],[20.397715469257374,19.251221641244207,19.578839803715884,14.492385600720786,16.743891552665726,13.788107769739462,13.08349099755081,15.894199035054466,12.288353204468395,11.945486386261559,13.435129304851444,17.127586158183682,16.92124243224015,13.400475217834183,18.1730682421556,20.48922646925792,19.10416989815886,22.71552399073799,24.535807875038827,27.774993708347065,30.68394931142273,34.752487878395826,35.141287120003625,34.54914979428584,32.192294572093196,27.885446763716086,26.6713744071375,22.875887400694864,23.54700625196363,23.722500897280053,25.341519241616787,26.119219891364533,29.109928986605645,32.314313713145786,30.665334960704087,28.726663138737322,28.834058210228456,29.16646719514501,29.320339669143983,35.5347905061346,32.32816339866961,32.26047875401503,36.74207717161709,37.17116844799089,38.591048785109656,39.93600055096532,42.91605434661711,42.105105224194624,41.30191407729758,45.76970724591793,46.5139300647297,47.5175969420469,47.31721574790319,42.303227783657405,43.80922304212084,47.086021788321176,44.087639934397465,41.26009586217252,45.00752259079759,46.78138056484678,41.765090384087436,42.03146000401362,39.532256389210765,40.58303043107869,38.997602897109665,35.57916419776952,31.776988562946155,28.673323484329934,25.44189496637709,22.815326224838973,21.97097300705605,23.94012121232231,26.15344518723957,29.642146918149738,29.487171599962913,35.60245049973708,35.18343708247561,38.02305655836616,37.56335961028184,39.212392577398305,37.816324924780055,38.05966732237239,36.67909204962271,37.441107371960015,34.409364894538264,32.4389088740938,33.40128522675144,34.05705994459745,32.735897777036456,35.352707036813506,32.311049591488626,34.68618146664482,31.198911268054527,29.51230103041813,24.898283660457864,24.749897032807947,20.460665652502062,24.37536481395403,22.6802568051882,25.738755177113894,26.924136559750323,27.75327207088299,28.93501627313877,28.68872724283129,32.357334114316934,28.49402580830097,32.09386605923312,32.05358744841311,28.655440434708826,27.463814346251688,22.99698924921241,21.53717936975516,17.1471043208334,17.202089195100214,15.27601918539596,15.532947818791344,17.816646068166282,18.875724596221254,22.029690162844624,19.750062939283715,16.537284510059195,13.821441390762352,12.616965917538183,11.790061011991243,11.247902173981215,15.760191668951512,17.428920689057207,20.62345610854171,24.019979033464054,27.742505281131702,28.684290996101964,32.902859120808564,33.17978698272723,33.025418541973515,29.380032473546976,24.91135284183357,24.660207672502356,21.77452070809798,19.491189980629933,21.06777925583111,21.95152850373146,25.916842588284034,23.895631345309084,22.351933729557203,25.693430005509384,23.475266654715867,20.87763815131837,20.209982298975145,20.974015995961643,18.137405446254693,21.118691936821495,19.744977216932714,24.866632345606323,24.57466324857256,24.257606665949893,24.459838138171463,21.91696850949448,23.872021940469846,23.345192137782714,24.846919725527396,24.590872528726205,25.743110407842387,24.573319961959925,28.7954398410549,30.439300343794944,28.567543523613978,31.770576930106362,33.92438182736039,32.060720644117964,28.122500107311712,28.296178008431315,25.67170535904388,28.733657896525912,29.259801589491534,29.605530131914392,30.708458006281706,28.215290028724482,33.791971167041496,33.35701948300848,34.864922394466305,33.42009936041361,30.810129248694366,35.452338176998886,37.869994755571895,34.9275948334762,36.81168823690972,34.965793439979514,38.93627881432524,38.19233473239397,39.675661491218804,40.74145297441483,38.54013735062351,38.00358187133167,36.05990999120959,36.656118745461036,37.474048167788936,33.02660073715826,34.49219547703788,32.56566424161135,30.41656342986662,33.859069725959806,31.714013395530866,27.95333590024664,30.102879267560375,32.48956987151019,28.064130867347963,26.0677209987279,30.495480064270218,31.401344551079678,25.89369333090468,27.736832946733657,30.620419036559134,27.154413027175014,25.0454103307648,29.630809677947063,29.611282584497015,34.274680502139255,34.99353702777942,34.59915716074618,37.57113739764086,41.90121696010787,44.35246491858207,46.86311844321841,47.466413721113405,45.09864449853221,46.61856071172247,43.33594300862904,47.55725867160292,47.30801564820947,41.16810758073399,43.29256793566375,47.205395981486056,43.60887217956053,40.76007811633936,43.439078509591866,44.33414020761256,40.27760129189868,38.09850572150306,35.63963247841102,36.4168189149954,39.514266211435036,38.91773026994954,39.87632941579871,42.26584400028812,38.61152073574428,35.91252248020319,38.26276808168567,37.34784991864697,32.6838560008433,33.013376922287456,34.62273940323872,32.14659680701334,30.29645956254832,35.31165365370789,35.135378661886314,30.802854855391946,33.48881293937133,37.444741507131845,36.89490198500875,39.298187790275726,37.8937937183992,41.910235692494744,41.11274874509327,35.71559078681929,38.95986687966619,41.15542304912978,38.28806574372272,36.43689744582139,42.39570867864035,42.031133246593534,36.70963983084762,38.35798816587759,43.525725288061516,41.776898609881734,38.018444449021764,33.55623962421841,37.796336264860905,34.034157601171636,34.764171346187894,29.355415266817317,28.60332369664561,24.126381336790264,24.276756038149266,25.59073138814192,28.7338677222004,28.533160585330933,29.635390007123814,24.855180229530948,27.078893321822626,22.129601966979102,22.107036474354828,24.746299253898854,26.342522139109782,24.221193301347068,20.67108592588945,22.682969411518698,22.16808927959737,17.538308586815265,17.887235244164323,20.43949332759864,19.905704703170464,19.239967953339715,19.47098986532663,20.928662448495544],[23.20869577260378,21.824235927430365,21.94826079515529,16.374154137020437,18.42594465109252,16.98421910577936,16.19114754452914,19.54297055102976,16.283081076889577,15.032709418057607,16.675819475096656,20.741073797585145,19.497735999490985,15.58981060707123,20.35817075877904,22.629519356120294,20.35431765358223,23.478463129537158,24.24149475155327,27.823209796883297,30.220475872222224,34.26944208916179,34.185002137834545,33.17038749029256,31.196288299879342,26.95233495588635,26.26672255322753,22.923846335078515,24.39138773936843,25.40230811202444,27.04345635680225,28.46724011372432,31.625973369553392,34.32890159217164,32.50095004955417,30.01069137365227,30.5315460365903,29.868991369758586,29.69076304895584,35.830503455608834,31.9703076529721,31.998284476606482,36.53309298147481,36.7954834764736,37.729926287370404,38.829377151258434,41.8140741669765,41.4710234715715,40.62562844506807,45.05134396423727,46.133916725364124,47.40950784109993,47.365546677618276,42.214606193107066,44.25646067615634,47.32604557620441,44.01097905661562,41.58035543718278,45.47603284069774,46.77736065182604,41.67058891181041,42.18569081900198,40.04624793149025,40.53535770364472,38.741934326633064,35.713487895354746,31.627735962786854,29.075023735961178,25.33776384997951,23.397816510540824,22.004149851232274,23.75385248472662,26.552598945302616,29.632195280533416,30.213841192666088,36.33159165796663,35.88255764532608,39.16527447560239,38.629551626816074,40.0160993539128,39.02725110110955,38.967190672973786,38.14684069220512,38.5761318567523,35.14809034641222,33.52742281015876,34.18340423135729,35.527407225482605,33.72179664990127,36.91306481478225,33.665412929641626,36.004059696853936,32.844569733466244,31.642116752381213,27.15737049835543,27.212920423257675,23.053580904378805,27.306865964438476,25.98158890782908,29.54392546825613,30.006007718893393,31.079343229779944,31.58768378229635,31.475102780196302,34.56031051186844,30.773507570489965,34.45566152457922,33.973747464483296,30.687364367895114,29.959120668038103,25.48454796569912,23.63156733188589,19.63734373987397,18.655859266033893,16.703308579567434,15.812950799127123,17.86249405904943,17.72475231089883,20.957285190109992,19.7048935527137,16.172523684744146,14.232484145608518,11.991259137019876,12.271681743310783,12.986567858255444,16.757929880521207,19.538077982539434,22.129470246448864,25.565338377243766,29.277180829193867,29.709466188366747,34.137668021081865,33.89442269029876,34.2431550981689,29.98228342014126,25.55794304848138,24.869365166155575,21.576200620439167,18.67054011523577,20.500395969986116,20.208099488583695,24.21962482614881,22.77389080960532,21.741040503452776,25.473294372007093,23.972027250488836,21.44801734588349,21.73935382234543,23.015647654806216,20.934445472118988,24.304796707152427,23.579805088567674,28.80350888369238,28.98475843003545,28.46041461613263,28.260751665643983,25.33048154456823,27.07748241539636,26.002551554393094,27.20608504853598,25.986456546446973,26.84710467146001,24.788032749405872,29.106402551047566,30.20810770996927,27.663084872217723,31.26590952965393,32.88530316495104,31.243497256632708,27.237468905395747,27.967392241519434,25.486323785810225,29.053795803648146,30.095986639939802,30.813003039195856,32.48328065833114,30.121770794785526,35.766562656972624,34.70907260576902,36.38630071997699,34.283405850129505,32.30024825870385,36.463794645027896,38.5147935488164,35.340422591996884,36.99309355477133,34.987177484185096,38.67286720882418,37.38697964854078,39.17045397347757,40.121048502130215,38.316308409227055,37.78552266570634,36.07030153422755,36.935756787935276,37.84232813114224,33.46957695167012,35.41125716972871,33.6747189697951,32.07124367850085,35.7086510787741,34.074455024570376,30.119219195132462,31.927233341355148,34.788006692725084,30.654383475824762,27.923720364492237,32.58963585078154,34.19897254630614,28.52858582707365,30.00915296124518,33.21558467330019,30.15165733692525,27.52341135067097,31.877815771988203,31.4775864106681,36.53717888518009,36.3459949502201,36.36243579020848,39.64786577494755,43.797763494540725,46.61912319458892,48.84260101264065,49.73673989798142,47.28638630371488,48.88144951474272,45.64954777032108,49.59916892980449,49.19348009553271,42.94285804188234,45.06696304851501,48.653805082599405,44.87231120862046,42.024271289144274,44.48938639165108,45.07157703394932,41.05279168496401,38.75368453735797,36.816529481776655,37.95898556572973,41.27997049487438,41.108202983175815,42.37194607253907,45.11388820645811,41.527398302306935,38.53754823261646,41.236914705760555,40.64954952925812,35.834178215764666,36.02467161633143,38.04584567078161,35.75981793637144,33.58932689742922,38.578498495915376,38.71080710057181,34.38158369971391,36.66134113476539,40.632660232270815,39.77224492472257,42.180971060264234,40.67642274709647,44.485302964436286,43.62833990335801,38.07754428933293,41.14484000895231,43.13783747487283,40.1918536737654,38.08522559774177,43.94370319508415,43.378892541316965,37.89020367299486,39.380240032050835,44.463555091594635,42.542847870585504,38.63908903664644,34.19070288648655,38.03051224536517,34.140515032280476,35.4788254662508,30.08183075928612,29.896794079595555,25.777897517313804,25.06577624134231,26.225166683688123,28.94662599070284,28.8710568563955,30.64745154410668,26.081153687509282,28.46954669254197,23.69207931245717,24.377283655787295,27.581100718369612,29.555118054806517,27.723041502371544,23.725967420394838,25.93558415334002,26.00266801122989,21.19348926628776,21.306540943493633,24.426679937010405,24.217018874236828,23.734457738396287,23.929756723007266,25.465258204746625],[26.76898914342439,25.2257017234199,24.753464000179182,19.427423869940114,20.224795146829322,18.50498836527381,16.528207124068327,19.1789977064446,15.53153213813608,12.95993824293053,13.983550391879007,18.338744186060094,16.489644557419513,12.05445301625691,16.395680714713613,18.79892387408623,16.37652139515915,19.005215975078503,19.579356908023623,23.399922121893724,25.661288074822167,29.86970661623665,29.738769260637426,28.979174551812907,27.113449279532805,22.740800002811355,22.3401949296436,19.05138523920824,20.358501846748933,21.685574235754427,22.699148567079845,24.777157264322124,27.77596014316401,30.100474443532104,28.426641463315992,25.792961621092733,26.841132430090283,25.998981921056274,26.130262607888415,32.430783135542214,28.590064859376422,27.98647428981422,32.53007528536291,33.14820995948185,34.09378152929034,35.51579415285475,38.30346350921748,37.80964205682499,37.43161425853543,41.84929977983351,42.61518532714288,44.0063331428029,43.748802031165944,38.60008952298468,40.56649400738947,43.401216190299635,39.97025144991671,37.49239817193929,41.29205389251914,42.53114310447276,37.287091308456795,37.55369943867228,35.374997264496066,35.71875806992781,34.1102870622796,31.152279951148422,26.822736614983487,24.30222787458325,20.40899251074227,18.506764876028143,17.003416391344505,18.775444780870775,21.5806742502243,24.625827813821726,25.344981212245173,31.43665147330533,31.157857313250464,34.50543926696948,34.14674150348449,35.673876199254124,35.027765956777046,35.24791871613722,34.78694126976692,35.50232798965826,32.084638157863644,30.11233655678948,30.26397614426266,31.66584958573675,29.387481226842173,32.53481392011963,29.08427112752677,31.27018729117234,28.253019026361564,27.339811243240487,23.02365128297281,23.161168057037404,19.197252729472492,23.7853543538815,23.007055019749213,27.241105690489775,27.07319335410703,28.982289861321114,28.912088468886303,29.643578358331034,32.78279812257993,29.615974486050508,33.710990262678585,33.56479198785036,30.784990742649843,29.63021328935679,25.512268127213183,22.80497430301464,18.764469307878247,17.36221944607593,14.228117455329622,13.344403489143858,14.402992003943055,14.46033274508303,16.734419318083397,15.274573851127577,11.754773425400336,10.228362513653568,9.079023716980332,10.394952635124069,12.192969046865713,16.399073386118392,20.220595128920092,22.018909526326798,25.632015086204884,28.65988570499993,29.867170325132307,34.09127564861868,33.476264838273984,33.31302840516068,29.30510289288585,24.792622255576916,25.147109677150247,21.16009012350678,17.997286472048312,18.8439192620454,18.285169132202927,21.627092209917734,19.57050983005006,18.92170369631218,22.340265579346873,20.70570190706268,18.620861069262787,19.07452788143754,21.000679677123095,19.29528870310638,23.252731419348393,22.528599378047716,27.762261443873463,28.288844485486905,26.972077381524986,26.44193757267689,23.18488046258356,25.312255993033386,23.477062725121215,25.419719422186105,24.05446851846482,24.000425977704015,22.43414238203974,26.389144712292353,28.128609224957817,26.168855698484304,30.078151043650294,31.974780031259055,30.902196871451856,26.750452731080895,27.336842647076924,24.321496458834503,27.31808165259393,28.056008799330662,28.358351057442192,30.05516981988215,27.23211694696278,32.905047006839986,31.867210009396576,33.91106886150739,32.05365955786626,30.63181166405238,34.92801871766448,36.99415947510514,33.71434406647759,34.66663953614637,32.20233652192675,35.937084672026096,34.94441765957421,37.12897216541359,38.48301920467352,36.754225231704275,36.80066504094229,35.41739504025216,36.58928497766922,37.991797886012534,33.93144513021181,36.029177258142084,34.83709299647578,32.91650323100259,36.98572391527598,35.12586795039649,31.260691181148477,33.73188659288708,36.56756056832159,32.43701842705323,30.334042148905137,35.054123871572195,36.36835367867352,31.111760359086883,32.989969172959405,36.14330287560684,32.94399295287041,30.836838414044873,35.38786768048555,34.942489913490036,39.85884696276452,39.7671759721103,39.37196880669278,42.618542707654434,46.587374739034296,49.40489904814094,51.40461736402268,51.925173382380216,49.21276038058278,50.44035206460601,46.870591301639124,50.76824120284878,50.804640352021835,44.50613513306313,46.17993711940428,49.994641570465575,46.50669450193992,43.35295289995514,45.51239208099943,46.63324185801291,42.833490271972,39.83923756006926,38.254186335710436,38.61108854061731,42.00786608674285,42.108021287865746,42.934880945454914,45.78749714235384,41.82106252799078,39.22429115324885,42.30056519549583,41.33074905987656,36.52776178843147,37.352163097516765,39.3786562115813,37.08299008490102,35.36410604716492,40.45735943539526,40.57741150358893,36.50096568315076,39.096367532226076,43.002499037052004,42.18087403077405,44.242487442484396,42.38999777868132,46.260321832514045,45.90481245094319,40.33922071990264,43.03803763564256,45.43322124929545,42.72614356764172,40.2696599112214,46.10205416938109,46.0478001038583,40.56571608615488,41.60224713043833,46.90795121814071,45.39880802214648,41.50460913986052,37.24300555488256,41.316953390335684,37.702602422198595,39.113679348629155,33.72185949551679,33.09413005552673,28.998643397054074,28.70085554490301,29.45760228350293,32.125253735008776,31.540027775906154,33.017158800824454,27.99157671092463,29.71191647060581,24.711320944253057,25.959582068838348,28.430038397338258,30.638650663469537,28.17944520753297,24.7543211269024,27.682543957611372,27.30986910933448,22.136014270648776,23.471705968548154,26.3975046995489,25.428053120253242,24.37040722171196,23.846667837259265,25.09475049832884],[30.26197929440158,28.87359862062479,28.722864128295225,23.154465830550006,24.350287679158956,23.143329789857635,21.44530589218195,24.2554923889925,20.586770405121392,17.95714958327895,18.676294040450784,23.043487338068843,21.089539000897492,16.466384885596455,20.232279394609975,22.75489487014733,20.07305333393533,21.882804114446763,21.339748072349025,25.604942062603076,27.119590571877488,31.366162337532973,30.60860722523178,29.5580486409989,28.363473814828513,24.101746056976996,24.53870092898884,21.85957628086469,23.613913262986994,25.537180798084847,25.928257129416483,28.750767588897215,31.524307311281937,33.376938847512044,31.897893835481018,28.976255766990093,30.58979915187274,29.07534536914823,29.1161915414076,35.28907156715121,30.943783887553185,30.088698458619145,34.58768948526078,35.24931028835971,35.65837956316034,36.9400522136491,39.583449707944446,39.54919951643707,39.36815480431862,43.67577518202906,44.63384734154895,46.331569992822914,46.110418531282974,40.89827811840715,43.27038520134484,45.75838425393773,42.00554252142768,39.880450371805146,43.67842664005444,44.4359430127756,39.060475763190794,39.2842516964174,37.38269113595409,37.00512234441374,35.49722915158867,33.06919357153144,28.229606122963588,26.32511483355687,21.827402482165645,20.52914086704194,18.35531899326703,19.294913216000086,22.862666054911646,25.629367574056293,27.277773715110733,33.148981834753066,33.283435412557054,36.89557847119202,36.77016873003459,38.26234043513037,38.1720144298997,38.36997878715166,38.45871976186398,39.072405902933404,35.435258907576575,33.600667037844175,33.265538005269754,35.10459090719533,32.215704536743466,35.51792007590374,31.757004989025425,33.51526838574691,30.81671145445632,30.405826000228764,26.43074545687583,26.356644473924256,22.75640362712726,27.797194950198037,27.43536018415859,31.914951746946763,31.569479171588565,33.82830438619797,33.4494913922181,34.429596058814276,37.31625694171655,34.278026766819046,38.393905712779805,38.032370523926396,35.298972900703106,34.38508987555267,30.262205669262485,27.465954878661115,23.63165439794074,21.82708600507746,18.68974031951687,17.182897655753592,17.697259868678607,16.64112309912282,18.204147483883023,17.808862505119524,14.324196432073228,13.919710760235066,12.533819075229163,14.666553181551674,16.93530499678946,20.63596411755847,24.770889291534086,26.37762375431591,29.94891339498191,32.96666627197484,33.82670498397409,38.15145183591624,37.2076921611095,37.37139599065966,33.01037120734708,28.60761701807358,28.62227618573569,24.455938463028648,20.89137430049547,21.827679144245412,20.01238193735434,23.02978865611734,21.50343555327343,21.587714650212135,25.11946416878628,24.095108800530117,22.293050350668747,23.354011957106735,25.593977528579735,24.22072945161444,28.26880566310897,27.59925722647996,32.81864754230576,33.21373097237835,31.825818583566644,31.356060995898478,28.054680160704415,30.24476190317072,28.13543862966466,30.101418536819757,28.27003474054826,27.845436499016095,25.81371274349165,29.6408185874845,31.03761811810591,28.604403696098515,32.84372448106033,34.22373286420666,33.42648148753327,29.29545148450281,30.357798658767933,27.500126151454428,30.764422711660103,31.81821371272857,32.27826689934338,34.28453714968272,31.439929984851823,37.07013830753356,35.71305770954303,37.934576856786805,35.730538318351286,34.82866138375705,38.78286766677784,40.56423026223099,37.136225489393105,37.75430816835208,35.06519406562387,38.489732787388704,37.07600190326934,39.63061331125641,40.938624092694944,39.61310486873076,39.73451375923461,38.58373779846651,39.9641810692905,41.41071227446413,37.42865816199542,39.81998908056607,38.684665537691465,37.13898999060519,41.2139347556191,39.640438935112584,35.6860534282728,37.838492781406025,40.882893511459045,36.86485900270154,34.27880855664966,39.06496398936934,40.72749310770714,35.2534608435045,36.83751553124571,40.10342739985862,37.043503156244135,34.535386334104004,38.90174472220549,38.381188828650366,43.501333562781,43.00285019535912,43.00541082441976,46.39317480832144,50.362864775264406,53.32596942098313,55.30258931696166,56.085947129634825,53.42165135508023,54.777444816971695,51.309014457745754,55.07630044801539,54.94194435683094,48.612005332958205,50.3676733390285,53.9439288683198,50.29912299066813,47.21811657687718,49.28090902798854,50.09600327203661,46.29749559184398,43.365502487073826,42.071165931389324,42.76413036144169,46.261818753623196,46.538030766196506,47.56573934404606,50.53849135442188,46.65074004482034,43.898688650592725,47.03116655177937,46.22420705768739,41.38130709841626,42.03438796022277,44.153149933109724,41.881489177672705,39.97425598551754,45.03142297717475,45.18735269533207,40.98997214568249,43.41667631979513,47.36001215694478,46.46475348234477,48.667735826707684,46.8982326320213,50.676255383130936,50.13496513713725,44.521867007797226,47.263385582447064,49.43808015294215,46.614460490806756,44.158779500830136,49.92835091036872,49.59559558551924,44.03763104345614,45.12094324926741,50.28329687619203,48.53114649126575,44.56083929073183,40.26337786860025,43.9419762969614,40.142381119402586,41.89258135443984,36.54605897136058,36.4449267222156,32.51570736327278,31.60651265588026,32.47117974322265,34.87133285299907,34.563344380159464,36.53778480013114,31.8018690085472,33.746752607140635,28.919953542710317,30.341888801815177,33.17023443369021,35.429160017866586,33.14835664335352,29.518581353624995,32.28290211730651,32.09771665512625,27.007428708163516,27.903004869737625,30.869659597539613,30.14027751715702,29.16035612809024,28.754044924276585,29.859512740837136],[34.32887350922898,32.59195552957667,31.646726698551873,26.35225014015271,26.182653763769622,25.2079048120886,22.5273814476622,24.740390359040152,21.26833572244768,17.495473230136657,17.779643872523444,22.039959738305523,19.054507662884618,14.580990809047439,17.31574210219043,19.525588040957288,16.377370211410977,17.130051939414056,15.722415213305085,20.189248551649385,21.271121614708054,25.55285708916774,24.624961825336076,23.736046604638155,22.770045619798953,18.520581474434394,19.50801123339953,17.322385851206583,19.19728639998839,21.79044039190062,21.696345415985405,25.26434967870231,27.938336269437972,29.060074987098005,27.572325150935036,24.30405174341663,26.544892966038937,24.38774679554277,24.599245447902632,30.673827188971938,26.262652022372485,24.778088978719374,29.183709022237895,30.140877612079567,30.413611957675798,31.965825187765166,34.362106845650125,34.270864372598034,34.58807412917704,38.800586818843065,39.49204565372856,41.36274520269165,40.97061873836192,35.80819763835025,38.22706392616521,40.39097109516356,36.483155614117024,34.478689636718336,38.19736428618664,38.73304474924024,33.27116516789529,33.40673150498898,31.67466218291989,30.99213532266357,29.514307696954425,27.33389779996778,22.31886231708404,20.804978143059866,16.121852340850293,15.526030164693003,13.078773997109629,14.125174770904245,17.71162770954881,19.921175322592493,21.967598418199767,27.669036111094897,27.7469353137896,31.592608678776568,31.489435493506004,32.89828604767452,33.292954622078554,33.593600876165375,34.283616365121524,35.015172519426194,31.34289437832224,29.361460780456767,28.395933649135067,30.580249730889147,27.123815899435968,30.66817285566572,26.80458624439367,28.513041530511064,26.265713387844052,26.410214708679632,22.853870782945414,23.216237817249223,20.127043773445546,25.05841402512272,25.369240516292948,30.467664200110022,29.039405235649188,32.0311179702094,30.73938627004897,32.534647556457806,35.085536182709724,32.831119462329696,37.252480201631435,37.09148493553787,35.022381171561065,33.864218853372904,30.274158551118617,26.63821596345407,23.20242779544036,20.782462093413404,16.888169761835293,15.124762807114449,14.226237462523525,12.913721977015612,12.90161453464514,12.982046794172218,9.922120827840853,10.943716612089302,10.758813218097147,13.92131154921221,17.146071969398406,20.495394426906827,25.603830417346725,26.144104293938764,29.708268914960914,31.86714115879121,33.37173432183555,37.38597809268071,35.924582094350384,35.66886959443012,31.568403884179943,27.30301294560586,28.33678900639742,23.587074265253236,19.91261528598621,19.703774861945508,17.39855187129945,19.295103158762398,17.283111611809275,18.06629654958578,21.078751891812562,20.29636709161447,19.2051513904167,20.77886356311468,23.70365758017813,23.1621883099468,27.636524594566204,27.376510660926947,32.405197252979285,33.503511296351654,31.348391980752307,30.26498218718034,26.608269489954136,28.851230282085563,25.874041755351662,28.265991130329876,25.992501495682237,24.504794365986005,22.798859394188366,26.010171595360134,27.885102093644868,26.07287923695325,30.564849924870515,32.112515727946466,32.040910740471226,27.905435266126407,28.861832580469716,25.591148381309132,28.177303354055084,29.015619241328377,29.148814519766166,31.330357616932226,28.22412583194796,33.667056279042306,32.09374613437866,34.682555646807515,32.56603412364746,32.524137752438925,36.31164577382118,37.94534936421587,34.437878319215784,34.19462726363919,31.032880570622098,34.34131326821088,33.1444660049078,36.16325611855884,37.87389611444537,36.753580417633465,37.52447415340058,36.83109231613246,38.57566884985023,40.56227439476535,37.05338323562308,39.65962083891568,39.205389237315174,37.49214325433522,42.00289185851121,40.374894741680585,36.55237479562432,39.281880930720774,42.38516664371596,38.54623650521251,36.489931827875786,41.32586636827828,42.86696570580358,37.89841635711167,39.81221119750216,43.10073391294451,40.080415901387454,38.042137333418374,42.54882771157277,41.828877828025846,46.86170915184772,46.20330890634029,45.785657518804726,49.193947754355264,52.84075205004556,55.91089492364947,57.48002806579678,57.88578811979423,54.89547324027635,55.82489799587818,52.02012357606454,55.58873868318528,55.92660750831119,49.58274631607787,50.79415895720844,54.496799087993516,51.1941341743261,47.799463817480756,49.42138410961736,50.788710315939824,47.31070994511028,43.595301034944725,42.84570894017686,42.7362498120608,46.31341024757384,47.02536324618108,47.656493862307464,50.84354523896562,46.63187197136101,44.240830758560186,47.87859894771398,46.807863894705385,41.99852950889761,43.27400762248823,45.55727172559442,43.4097177069856,41.88242114298009,46.982904730754825,47.29155899993657,43.452708640784365,46.022129120953885,49.8557163275613,48.86469129989076,50.620236429179556,48.4128607963653,52.13736854768213,52.185324478244276,46.55701864988825,48.7653754843744,51.33249766419873,48.80737696069671,45.88544055648086,51.52530864524871,51.769816211945184,46.24021590007956,46.72497297716164,52.07891676068617,50.82284626898548,46.87845540592187,42.867746667915455,46.74207227907173,43.323741005842294,45.245452681126636,39.9560316266124,39.41118640319711,35.65483328142723,35.08091819126866,35.40975254210656,37.64162716196318,36.747823309258926,38.4542431496547,33.363104782056254,34.561320683559664,29.71960965895235,31.870320051141015,34.03223337795614,36.62605375974796,33.89685456856466,30.77492879634233,34.28498068622641,33.92116921582242,28.533797132003254,30.538697878320317,33.56190282659081,32.23949650641397,30.867645319100824,29.797308719993815,30.747578746775726],[33.154657995756764,31.834818053514805,31.416321194851683,26.26848186728965,26.711230150633714,24.580923333625915,22.038086592291517,23.74350313881475,19.65103648813252,16.285448320356338,15.806002407922847,19.987415224358664,18.179654861162085,13.302378689137461,15.779006347913327,18.60505773057358,16.565267146411344,17.571959689562227,17.279289022920715,21.769198942377525,23.230780455015484,27.746657980236304,27.122881452970613,26.772696819369994,25.655120645069008,21.249509323567153,21.935846278110358,19.223474073727406,20.10884630659682,21.92085115770419,20.924301783547417,24.495661420626167,26.68077365860232,28.219238842625302,27.297806780440315,24.613801887726826,26.854338115408282,25.7718659768785,26.517384608901693,32.8361725142671,28.979722480395935,27.09440513528165,31.49191930703077,32.80083335068565,33.46522655145934,35.32111031557524,37.62650329318979,37.13978397467423,37.66953126726688,41.92873240719594,42.25103993028799,43.95169996683008,43.331688533772066,38.26318087669151,40.17128426590485,42.39231394531417,38.67298960160572,36.25430569509295,39.75501169022902,40.679217588142635,35.159618557181396,34.73641149034629,32.52044778105105,32.154056719199424,31.214661817969553,28.742995817349474,23.541237283512938,21.38990210013851,16.79228590068155,15.028667286170208,12.778621804728852,13.343378232816427,16.889186106402065,20.071612912253393,21.699116285720855,27.45603910441462,28.174198702468935,31.547601637274123,31.91585488994842,33.881382422084044,34.12953285215134,35.00045406244894,35.26551395397862,36.50622445426678,33.194097972207565,30.666443648953976,29.731903423508264,31.155217045366154,27.788919874267165,30.473226067875647,26.431484068430724,27.711944580826838,25.024657853596086,24.84216326025321,21.222070271676053,20.855494357517486,17.723269752446424,23.19793325148803,23.534809435989608,28.47644204237593,27.89076991325398,31.134018700219585,30.495179782877916,32.47876465694856,35.76179095722393,33.45221979170553,37.88393690854748,38.14778583816646,35.889239370258984,34.29842744535557,30.61557833110581,27.279409955730298,23.31840549074216,21.736092445731,17.493206060997906,16.742403665702692,16.024423708817253,15.948175974692935,15.686965507328791,14.38689028494823,11.484745824909373,11.607710830873136,12.591198469675762,14.997458092072588,17.466058168358227,21.709581083499323,26.045754124668882,27.23670363952353,30.87260659377655,33.17975802250102,35.06291433176691,39.024536329562466,38.02163203402035,37.37100149356433,33.68823997524838,29.256772401644152,30.477086848203026,25.981751527108628,22.61026416848925,22.432866162010423,21.027091074054656,23.08156517133597,20.53382753278719,20.880553086981273,23.6189924592812,22.043864693478376,20.89739954532547,21.550121473050435,24.19162787692318,22.855345878575125,27.149947725547026,26.04015103116938,30.99585717421149,31.327180034954118,29.171079930261207,28.69083634691542,25.400235876418982,28.192190489932855,25.5509455744545,28.612565890838688,27.256627939080047,25.871352367312756,25.056487690301775,28.251301697795988,30.701941539110912,29.342537619709265,33.60731816387663,35.540862234966795,35.202052323389935,31.027646107524514,31.63427481297072,28.225567042633656,30.522818903517795,30.90786338328037,30.627887247353883,32.264399117658456,28.776791403417295,34.27212943471517,33.38671958222162,35.94467289662234,34.4928599503746,33.898676450968885,38.21955048601,40.20738470087255,36.84261316147497,36.75829055069407,33.62679971933159,37.21201673526886,36.4791803857656,39.32294800237838,41.14703900858963,39.70774769458561,40.45506549464579,39.536390554210584,41.06019464250601,42.92988918887491,39.23177898402578,41.482507198186724,40.73376868302051,38.613049135505506,42.926195361998246,40.865494802825545,37.143927046967086,40.03202226635463,42.763071392260535,38.60480925987028,36.94578583249958,41.62278833028561,42.6226992670009,37.601086708858936,39.67792451393733,42.70025281695319,39.30449018788451,37.4824095353131,42.11095899770349,41.792220238782875,46.57650500043494,46.695747776257534,46.16181353749903,49.330585534715425,53.271549839200745,55.987271400473425,57.9713087284876,58.263088566823406,55.435504067842,56.418189668574904,52.630194752225016,56.50054517360607,56.864018183555565,50.580684369559734,51.92548032064437,55.88849294402731,52.6254633070924,49.28499227511102,51.1873933339249,52.66339954158089,49.04013513639056,45.57840352667958,44.30424776958998,44.081124541486645,47.49285489809532,47.76350887361974,48.18441683262963,51.00953352669834,46.744031466752105,44.58709598705036,47.81484032789357,46.437474511823076,41.76726917103246,43.078770262265245,44.90417296807072,42.51733699058136,41.23828164587277,46.34899050713272,46.273171990598115,42.317532748598936,45.25287606322068,49.108535436669726,48.46135827052636,50.36969933569745,48.384074260633106,52.326572872426965,52.246329492373185,46.73949950605746,49.27424613099381,51.89948652478306,49.321454879594015,46.74059666517161,52.53669359769488,52.73713462144266,47.27944615826829,48.09239508800428,53.48304392553821,52.15405031132792,48.266531010106576,44.08841015092181,48.17739046014753,44.62080846804867,46.092784489056264,40.71159118449699,39.995350144113,35.873427698004974,35.6949690740433,36.3823178516459,38.98856793306245,38.245481047287306,39.63388146798078,34.434886933838804,35.74078962376117,30.683786989819456,32.16867550806115,34.017838813421434,36.21661707469006,33.2252852893337,30.465404999097515,33.65353336643121,32.73794866049235,27.597560597172915,29.574309752157834,31.95022400373558,30.39098798399781,28.766684029735135,27.6878603097595,28.282248228995094],[30.450791464597764,29.45337568796229,29.67283515929889,24.394255991494592,25.839343146797955,23.432948788139065,21.6183780649269,23.686847141715447,19.42836462415731,16.99017907227862,16.8092355412743,20.99503837045172,20.01085129017519,15.130768596409077,18.316521565909056,21.29468664147778,19.56022993777923,21.265432155033047,21.42997275235486,25.780780165064716,27.483901832573256,31.963992182522205,31.41524045134184,30.90988014824856,29.66607516558889,25.24387011803716,25.61924389771981,22.63057923981065,23.51590436673371,24.89967351262485,24.291543419955378,27.290704873604554,29.52716075435702,31.567988585785947,30.650940868062445,28.204454493941466,30.001579328110402,29.311540882582985,29.91390151510978,36.29004066449861,32.44034088029683,30.98295481668967,35.44886254897217,36.554973510334506,37.282749128221425,38.95338512007513,41.427838880038614,41.001007217401565,41.20108197516674,45.5282031397635,46.03936635651118,47.64027490628694,47.13805349483223,42.01892435337841,43.91823445227127,46.35919737792344,42.72800489299061,40.239468978980774,43.80805539204139,44.86789460521082,39.39703687035086,39.05216647344205,36.748400090767106,36.55869630567848,35.57972993979254,32.97020987196154,27.898647774416233,25.5553020972284,21.108015526961296,19.02415543687297,16.993124281284427,17.498388448240295,20.964100270456093,24.392466928456425,25.77690257942621,31.583653530837452,32.32097093285835,35.53543311373661,35.87752370935013,37.8772348511008,37.80513855730371,38.59018564589749,38.46177953390183,39.612208248262405,36.31567987085649,33.90508479093484,33.39202654021535,34.6059758775234,31.631615003828383,34.16510411948686,30.22559950843379,31.534658543531393,28.5716426952468,28.002397140369194,24.134862440871515,23.45064119729165,20.000827997373648,25.464173934072633,25.299799323030417,29.729152358980592,29.968895061085814,32.67176416736169,32.69852420166691,34.105385064250285,37.627507510568364,34.78640692161838,38.99643703377956,39.13729955533499,36.424736880973875,34.98566660786961,30.945908500229983,28.21553808299349,23.983951822058245,22.85902677807638,19.159656377731068,18.560070096099114,18.74888527622326,18.705343611120362,19.45604927552646,18.04481814256465,14.84639770215168,14.140495311676995,14.247947756899624,15.99411306700494,17.767594435856612,22.24126736094847,25.848983913805114,27.78928916525383,31.41661208912965,34.298683003166786,35.75720382429667,39.9155707765087,39.27287998839527,38.89612015807364,35.050514137061356,30.53651391292754,31.091610398412758,26.99261251579216,23.703239635220108,24.24348155970806,23.094418483523615,25.83528488462512,23.614167300654373,23.562299942455375,26.66183577536203,24.978120845065774,23.36798623291772,23.705972840305485,25.866538108369024,23.945314699891995,27.901608348032696,26.45293368721801,31.511197392792475,31.26329744224085,29.68862683228277,29.704188289461808,26.714407999446802,29.469589451561898,27.46831028147889,30.22570003185282,29.182156970285188,28.5126434304551,27.452654443216947,31.052580538968176,33.173014148295636,31.40068981736335,35.516604598277624,37.339552462563546,36.536416276798384,32.36448322219922,33.03955239903432,29.898322333001207,32.639379281516646,33.173225228824805,33.11734000346601,34.63693764935622,31.341366042064227,36.947565486812,36.20510636559526,38.51083276614014,36.99670339650789,35.828744628136235,40.2592844907073,42.3462171220609,39.03307305215431,39.51323568778286,36.68435952478403,40.3478479347977,39.44801689826613,42.01097372162112,43.57182683964409,42.00268818118186,42.325213242663004,41.10695790440425,42.387054657775316,43.89267449517492,39.8800700579877,41.968873300261414,40.75020005723804,38.72654317702828,42.71792795159236,40.670905244042416,36.877888965515105,39.37210712157998,42.02403431203995,37.72714917570585,35.74604960892473,40.354250753375126,41.38324946808192,36.01697794426173,37.873253967981206,40.83875724638739,37.37991053782287,35.257764698320436,39.787506957100355,39.65946469879393,44.45907338894729,44.775144235161825,44.52429375444992,47.64597692025115,51.830085435052844,54.439899650993354,56.737590204724526,57.282133104540804,54.699542219376305,55.98112551668812,52.433670804005644,56.454300935794045,56.493194041586,50.23425971661888,51.96004551932454,55.84578080006386,52.355244906224215,49.23781373296798,51.448358131351526,52.5554324886611,48.71438869327112,45.801013725183545,44.13513457273196,44.451286542757245,47.7934370441267,47.739314337836255,48.42045739847861,51.068326871322604,47.03423080069592,44.64511565051918,47.48447732868548,46.27132571992217,41.599792511186806,42.47385438186439,44.13879204629331,41.64622990537367,40.12514759524864,45.194481855399374,44.97053564151789,40.75222705908741,43.621633373297755,47.55004712822023,47.007574319344585,49.24252047252591,47.58746041572044,51.577881090564695,51.07427157102964,45.60186553050043,48.528214488680185,50.88000425354529,48.09677664378856,45.8733756024407,51.75588879593159,51.55292527688609,46.0978094556906,47.34239579508046,52.59078380288206,50.92008602338379,47.029847370301304,42.65869208321292,46.61520176669556,42.80154178936751,44.10491012768673,38.699416064751034,38.274348161147124,34.01346584762807,33.65300643514636,34.74131547837368,37.480779847112764,37.15010006298594,38.687681806835904,33.7450014154262,35.55650513282877,30.51804701804719,31.445897660545164,33.72031222884954,35.64294671577326,32.957030747281415,29.883636482367237,32.49869559343106,31.65033345749089,26.774802402306076,27.943771300332724,30.178529416737387,29.024604029144783,27.662279110120107,27.085765974716843,27.736168269264184],[26.68495932443274,25.85849942900451,26.328538682664774,21.278303887751864,23.120533136691982,20.044235530585773,18.55799405877284,20.515135151778203,16.138573014158833,14.48364210597411,14.430254547021672,18.44853545763544,18.250503812411342,13.627176822364977,17.296946791731163,20.290553680520162,19.0898647297151,21.569937398146095,22.711236495230583,26.681920344695857,28.967380813937563,33.397206138153926,33.30148514860597,32.946607409235,31.2262544981464,26.75273403279878,26.4691893666567,23.005698458748803,23.48306110459308,24.176339312492786,24.028076679744782,26.229559839175945,28.54582163716551,31.174600446587984,30.202570309118013,28.14688243076922,29.35831614962689,29.406909573779803,30.053914046590595,36.48963848855287,33.04538078088851,31.90835416058625,36.39954297251816,37.40483816267572,38.52121473986676,40.206937524356114,42.83643685702611,42.12047492575208,42.061315108883846,46.472700311053174,46.91673415551898,48.25452208938762,47.76344187745246,42.69982608854545,44.274022286083834,47.03653884728004,43.68922656626999,40.9168433795759,44.48175449111243,45.94710470878581,40.60154341697706,40.283546417774886,37.730331677950836,38.124144106797324,37.09654501838216,34.073407736221334,29.405933937248648,26.552248512629593,22.605353762606565,19.9359966813081,18.479292985096023,19.486482868133734,22.35528190953569,26.106886474260445,26.72488847468282,32.6682009089326,33.17934598674876,36.0882484928911,36.29999797082766,38.375700824674254,37.77839428966787,38.58976959593952,37.879600190268675,39.101404543567696,36.022498542121205,33.542740424609036,33.53750364349666,34.28215175252618,31.91815270492532,34.17686363368593,30.50430277478039,32.071583165602725,28.744865189785077,27.617989507161287,23.435284366596324,22.662514559962137,18.84968606120008,23.985289097800255,23.29181141890717,27.20339038393723,28.119100271892194,30.326004392589002,30.987405076811093,31.961091639743483,35.825263668005455,32.67635218969828,36.70543967592982,36.983857646347516,34.02290222495201,32.45921367574032,28.299394094340865,26.047207148177836,21.575349171328455,21.133965718765058,17.781929979339182,17.82943988232011,18.687979042508122,19.4149576347525,20.887034669182867,18.731064863186184,15.54576820037641,13.86505656263355,14.006178623478736,14.768571006692657,15.6268519642315,20.45145439340649,23.205905789985298,25.711956558999574,29.283042425665816,32.422273661506935,33.91796973138918,38.04204069809256,37.85145804276357,37.35740841934791,33.764819289065116,29.208989581581005,29.662400820989937,25.99787900077665,23.119664781469947,23.915436461277114,23.70396271853919,26.875244403850594,24.48112586914778,23.809346291777988,26.894921569747307,24.744420666172804,22.809650195674543,22.491912185511737,24.127148151600785,21.61615401672968,25.202591233676657,23.390773947690622,28.420583183170773,27.807051619320447,26.614753747537378,26.963315548241006,24.27492574555312,27.025212368944818,25.61520055577637,28.272687149440472,27.839696596189057,27.749541869117692,27.00458544257167,30.78882639804986,33.00302463869209,31.39762901273061,35.163778753980324,37.2628579967706,36.05602437136491,31.932751268110533,32.30503552858666,29.23858415638054,31.93525426195571,32.278232904601296,32.174370270034544,33.348476300584295,30.15139053062503,35.76927006229208,35.39542514922826,37.44005866958448,36.21505506081398,34.396010451132746,39.10548767834314,41.43762996022094,38.29436531430574,39.25911985266327,36.740380639427286,40.62888760367523,39.96157532127967,42.12790734535989,43.59152804582377,41.693035545317755,41.76062179792745,40.24245347825877,41.23472064423598,42.50374156433214,38.30889848311671,40.06100268225986,38.543657789459495,36.30035513402377,40.04363850150648,37.777455170260374,34.06949789783501,36.55342409832603,38.941773318019195,34.494615432467185,32.74552163797842,37.19340543095072,37.91449109182568,32.5485038809319,34.486049861615896,37.2775371111394,33.656353238874736,31.691087319666703,36.27375013185887,36.36280504892911,40.964160657704866,41.76235542215343,41.387669872521585,44.335320485176055,48.662940356404675,51.058360671749625,53.57975737084458,54.065754726609214,51.614437567059525,52.967400106400106,49.502728465171124,53.699329946557846,53.68498919472775,47.5097904209846,49.38308141512516,53.38978237553937,49.91317600360009,46.894322284345705,49.34131659488503,50.46157374474058,46.52079001526314,43.906444690158,41.80423261187356,42.163051509364,45.35010604399227,44.95529227607007,45.60545072977275,48.013067523302986,44.06999713724281,41.715304418869785,44.23224766705422,42.96183411635293,38.376049437471735,39.12911869264686,40.56249835805691,37.977355944997164,36.50385977730178,41.539466520319365,41.15414244657979,36.87983011401735,39.868009401286514,43.79186320440756,43.40878396734457,45.73295696596355,44.24124081782534,48.32175270845545,47.70263666151286,42.33449110576739,45.46408602293806,47.80772786644302,45.00485430950041,43.03423968109811,48.978240704653615,48.74134990741583,43.38713950472899,44.85976544454759,50.09238031286642,48.40355788513717,44.5973105031735,40.16337003833336,44.298795078549865,40.483724977996346,41.40765778776872,35.99559357165753,35.3654201740728,30.915773418263466,30.919425451399228,32.194899906708464,35.19259152282826,34.929845594109246,36.165652333224706,31.23361059825079,33.15257562209359,28.07778922961947,28.46379474852877,30.6364745647592,32.280152392758694,29.62885906648411,26.643463104984168,28.945339400745794,27.90976761558656,23.257319176552965,24.23383995072606,26.191907471560217,25.06655773837256,23.757885565801516,23.39510059637253,24.087991569785707],[25.431289149363362,24.604166901884305,25.37150874449808,19.991336853200536,22.512394875929512,20.21406605114445,19.427955992278367,22.17058538834267,18.253050938214393,17.03984664430829,17.75371547125487,21.793725933551915,21.287939834660833,16.885855979784147,21.057598757669457,23.81612385439673,22.08240415907369,24.74710673020554,25.4409774223469,29.413599297950263,31.565971824275138,35.87131880421607,35.57825409610678,34.7968971320602,33.158080796096556,28.780028360520987,28.534215458149557,25.229985099341803,26.30579448314838,27.25778459139773,27.78448419231986,29.775686855944386,32.41011468037864,35.044162231593944,33.759192076536486,31.455353068335803,32.45732511702068,32.05639231144215,32.27998804826884,38.59358626553849,34.777941614539834,34.16204061654403,38.70179717184813,39.35125200796061,40.22291228261422,41.562199011271744,44.34697595538266,43.96896719803785,43.54691920267649,47.954940299648754,48.800588853226564,50.19472985297785,49.94343583020405,44.791143630144695,46.71130096068143,49.558254934806484,46.12396152600244,43.592571099959116,47.3343045726996,48.60221177726369,43.30364954642697,43.34959157316036,41.038733938398124,41.264066576627854,39.92577680247888,37.03434756852228,32.43582608053502,29.861277209105552,25.779015751054274,23.551008307299863,21.896583440062972,22.9421122554229,26.077360310703316,29.52312457450391,30.410923333781707,36.4062990834516,36.65262090845518,39.79488572168264,39.75744084557878,41.53922883585867,40.87864671380828,41.28220693289993,40.60375351918205,41.42425941983402,38.109890809566,36.07354369042544,36.29900397139258,37.408450945735844,35.16282932643788,37.859890207868126,34.2708688575628,36.039657510746004,32.8173114406771,31.73749675682278,27.465744934708045,26.91347815904638,22.993940278830987,27.890424122169406,26.923862795114527,30.60710572031652,31.504676707284105,33.169251827358565,33.856868345220526,34.265729370257816,37.77977653037013,34.224774503565534,38.03271422216654,37.86467818029956,34.62320929659218,33.561519118743256,29.146778503029232,27.246127255606094,22.970340138605128,22.29025437787538,19.66831043594445,19.12314688741672,20.535211557784734,20.5367717667451,22.774133366496375,21.313763123600147,17.85173531334099,16.23383397582405,15.052929333649098,15.759945658364472,16.55615693998587,20.83203572726341,23.445537796647375,26.178618388099075,29.665180848708186,33.23903950466969,34.008177307961226,38.35910121790229,38.15838771359251,38.233780688535354,34.179493696835955,29.693699848847885,29.320443952085302,25.894254669251627,22.89798380998336,24.369057388699908,23.774728440552444,27.388336812232875,25.644654710474253,24.960156065490825,28.477526162421036,26.773573135828357,24.546675984930417,24.625093934180754,26.091499104013273,23.712983421474277,27.12940832626232,25.710051759230293,30.838208334737075,30.324460588383285,29.619968091208438,29.90988090591868,27.19553404348198,29.50843323147759,28.338857371425664,30.279445487019647,29.432507642160022,29.82643668048179,28.28070635303879,32.38048760450328,33.91208423173769,31.616160658135414,35.3811449523276,37.060075728288126,35.60945180883595,31.55226230865791,32.26181670506101,29.584920353993983,32.883955051166026,33.68278866037183,34.054563480325456,35.521898145732884,32.72806129594189,38.39245607313177,37.64878843722461,39.52693178448717,37.778763090342366,35.890542219197506,40.284028261617024,42.4292416483834,39.23492175844076,40.55566019749003,38.26243200363112,41.98955760254581,40.856215098251816,42.90396438850268,44.05080226831863,42.289703590824026,41.98873683236372,40.36744794497622,41.292821612559834,42.29072047132889,37.94142507593071,39.81169113758988,38.042915014879945,36.25004042095157,39.81116386744303,37.92982443649535,34.06836255602863,35.97857636474567,38.60090394342799,34.28513665480839,31.811257325605748,36.32500238447279,37.56220198442417,31.84996543149483,33.372969232154304,36.34596628967217,32.99620148684599,30.458245455044693,34.81031267947618,34.75879913428982,39.62704936155443,39.94756879285348,40.019245228936164,43.13279875707767,47.48662859499158,50.063907496260725,52.58527212140126,53.4514668108463,51.12852568308081,52.7558152160865,49.53358105892056,53.631165132477406,53.25397144167923,47.05778185336843,49.219621353271194,52.921834320753966,49.17227694967814,46.350568794610574,48.88772231781126,49.51957141127173,45.466084293517184,43.23706336572428,41.157742309668194,42.18319568639328,45.429364646804785,45.06526246661197,46.152681778483185,48.672969286381615,45.009510774202866,42.24036955246811,44.693918887037086,43.84607022619037,39.15814829391319,39.42653540195901,41.074771007195615,38.59050262412625,36.64761322071272,41.616431667406594,41.40333363943009,36.95495192606453,39.53640901002582,43.51749227553292,42.95061285641025,45.50261344893923,44.18250429765254,48.1237458623543,47.15275408018651,41.71780811035436,44.99805668175474,46.98785224705161,43.998011948048,42.13270957363241,48.03904107946752,47.3854787582718,41.962323954416824,43.64436778742638,48.68553126660738,46.66334565091382,42.79827161407495,38.27198805576409,42.06343556494916,38.03960705087058,39.17638634628732,33.79358798485289,33.68823670410984,29.391571540158466,28.7806209310255,30.238819984889634,33.071875186591654,33.1793728148345,34.88116293912995,30.342511670372684,32.73761835114614,27.880879809834987,28.22802088845723,31.131217792330343,32.81670923264879,30.716581992293268,27.1103549624598,29.058438359297508,28.601608134195963,24.051680225215677,24.130631449518233,26.526396787668883,26.086130535933943,25.296246764246433,25.43666949807209,26.47399472957159],[23.20297449453544,22.92372712201313,24.308367963004308,19.479239853914216,22.579285580167458,19.022872505273995,18.64956819842343,20.758932349594044,16.55889730460591,16.383756141890327,16.63376241038994,20.14093081545223,20.94225889544534,16.87118852477769,20.785883384650734,23.697018575506558,22.92170986278407,25.907592600954043,27.493418288662177,31.235571789052344,33.77571675326235,38.13616016879278,38.20029372902139,37.78866398599097,35.88568539913283,31.43852628844562,30.814560675023102,27.147435091444148,27.503129998858785,27.690032483244114,27.927710728051466,29.422160300404176,31.715093798937293,34.82672298861334,33.872065673843984,32.146971978924945,32.84949255346949,33.39532772217919,33.946121021913214,40.32940778323318,37.06129043909158,36.317718701115915,40.81326352892058,41.6368357078448,42.89656399218884,44.43957522507654,47.21377330419865,46.46199627340391,46.092111880542,50.5380077691008,51.09803758425277,52.27054877069941,51.871550798822966,46.83563850009287,48.27936487168332,51.284477813688234,48.11273110074997,45.223080602801616,48.80547671196311,50.48397162662721,45.239189030571794,44.97921378286978,42.310601853278925,42.97882772910238,41.92186267773803,38.721966744991825,34.27300696419199,31.215290683964874,27.51424132896321,24.606976993003464,23.388358811442195,24.41168711805795,27.09539984719308,31.0130863492484,31.31065985971753,37.244905380843136,37.71146574469644,40.39142799515594,40.5521641585838,42.65696541036628,41.681030272517226,42.431974596545935,41.25233885507519,42.413237717879,39.47028013303885,37.09761787780701,37.547277787552964,37.984464917723564,36.11428879482697,38.1444075821279,34.67650878491534,36.30023365438475,32.744070371935415,31.218040713910227,26.916922011282725,25.916272283654163,21.99270731789974,26.72531562952759,25.487861411164133,28.565161883543954,30.4151264103143,31.90114388741987,33.34612927897324,33.646880584085324,37.74487895655874,34.10525827033303,37.75140155626406,37.97192934375862,34.56961614727622,33.1383125129912,28.74152995168285,27.35686871714375,22.796786513450503,23.066214953114113,20.527097684236896,20.88929962802894,22.479970787566927,23.376748071078993,25.528281181110696,23.23186409337181,20.037946034683582,17.85185795368379,17.45928545653967,17.3669340557654,17.182864900730188,21.897555306815516,23.39269128189484,26.73277558020139,30.114948649514034,33.76827099216423,34.85623331676164,39.03487406304585,39.35023744892014,39.05668207878085,35.5161358200932,31.020574621740852,30.840257170167618,27.84226537293692,25.32741307205051,26.725750082782348,26.995051902561055,30.649572312121418,28.494825514817176,27.419410095852083,30.64791284262203,28.356255489903404,26.0816796861985,25.340784063498795,26.329395633315542,23.24317296587853,26.156103752550326,23.953576075929305,28.817884587162826,27.474571773999823,27.08938278157518,28.038948626059746,25.881659127370785,28.46856029326446,27.894452583760014,30.15533009849802,30.227262148276107,30.88800958974758,30.089527521794015,34.119041975622395,36.06652292570098,34.23770206128518,37.67279960471447,39.73363248486753,38.028205413665425,34.03572804300569,34.342196982067016,31.618042154554214,34.568507340740986,34.95251717127357,35.008774164664764,35.93734992296845,33.01134547202722,38.57603104113354,38.452559047597326,40.16769759219515,39.02335260732659,36.54840230347379,41.34640955197464,43.80786925384069,40.82663182066959,42.38848171723638,40.242766443434476,44.20400500436742,43.49513672912289,45.285725502434644,46.492088346908986,44.40210034010937,44.03234201960429,42.179772007267296,42.834313936159525,43.66883592031817,39.20716825648137,40.6284821888589,38.57297193301392,36.37718044204491,39.60923066082433,37.302105398333126,33.65885426178914,35.67887257952108,37.8036661698885,33.23800137068367,31.315925835433433,35.501041162454555,36.07637854329522,30.450718024155595,32.143810981678506,34.72269720088054,31.002259138977593,28.82045750566864,33.237402021740266,33.667146748422844,38.110935226104836,39.37248623548941,39.24125157411749,42.00664474726799,46.61260436692517,48.75925978565813,51.69424596780976,52.40155626202515,50.28486356897134,51.951545101647206,48.80325254309398,53.173447685986055,52.82193171866282,46.78857772126106,49.07045053325052,53.00643607548837,49.363492531560624,46.64584114295905,49.44962210761796,50.21557871532381,46.07977627716803,44.15999765524969,41.53197998048563,42.41467636813426,45.410160922531325,44.5573101890541,45.43131818953634,47.520648979687266,43.90309346830749,41.385045726231475,43.32430565250837,42.207869449937974,37.75295485960871,37.99199759847249,39.11466621213619,36.41935954636705,34.746570021290935,39.629242727252155,39.00579143899122,34.484652116986666,37.419200753616764,41.36548902767287,41.18476591860494,43.86734248245967,42.81944581062837,46.93615980859487,45.83671270480026,40.631530452668656,44.21495825349969,46.24607137775697,43.261331017953815,41.81143061082317,47.78479909480497,47.12901043364542,41.901851285442916,43.89577874040941,48.906177100919486,46.88797131048939,43.17366410746996,38.58412389262794,42.60316214478471,38.581665578923996,39.11480490265146,33.76805526994021,33.35921622667824,28.759035788782676,28.761237939413995,30.54518571037911,33.74111748924644,33.94643531026576,35.15459715272466,30.628760331261887,33.04044723318786,28.147702336746306,27.68734244583793,30.16536993910067,31.332802365835406,29.09885959568079,25.95398175405745,27.37945668413983,26.34733058328571,22.32432678930263,22.208744783751417,23.746434542101742,23.161833264055694,22.245982610043594,22.596485893166264,23.337631648922653],[20.54799343959144,20.137397986529923,21.806374794722593,16.661841502618664,20.60759489581686,18.280434906259643,18.86318742550203,21.978854563795085,18.660104227521302,18.91880008839977,20.211805522470623,23.739636596974623,23.92571084118419,20.23882240984262,24.812632974127954,27.33645622297304,25.864443543027946,29.18333573405307,30.39875381713615,33.99609446066015,36.515773784264425,40.65804828077755,40.626750360603644,39.72399615827374,37.76360934278197,33.473277782168246,32.70353080853988,29.17924731944747,30.216883953944958,30.656958894203235,31.95272344364979,33.0392985324274,35.85269668273787,39.00056561762627,37.52329041411347,35.48965612045137,35.7942317385135,35.827998230991255,35.81714714985538,41.98035190576831,38.37385194137786,38.40045946118714,42.92746946210431,43.24237328097367,44.29861854766032,45.39276092734949,48.396846139228366,47.98607239664833,47.06838848365142,51.502711774207164,52.56149367687184,53.72210254544443,53.655134659816184,48.551502597303404,50.36779743253657,53.55503970881451,50.36527518908699,47.74911277604269,51.56134048938406,53.070894927480964,47.95762058752569,48.240936537511026,45.86536270779406,46.48849447195912,44.949686659789506,41.80986906067749,37.621120264269486,34.81480408626168,31.09661780360345,28.67170845390784,27.349525882167935,28.687409491439062,31.524100803630905,35.055950099007006,35.48884602049247,41.55918695113882,41.49766282575953,44.46433885091865,44.18248795472986,45.84817465356955,44.66265269021003,44.82588082350889,43.59371579907235,44.19287870785624,40.99935960444222,39.24069177718186,40.10545824420613,40.972986550210344,39.40639906318623,42.0547616771881,38.7928885522462,40.84671038954788,37.39884703394546,35.870823749780754,31.38032063022959,30.840839372213377,26.70245960702774,30.98787946870759,29.357348781761534,32.148157633548074,33.794090417315054,34.46434766922925,35.886591870110486,35.365953533065436,38.91771004413945,34.756853449013995,38.04041857477533,37.6548509464853,33.916519525283526,33.188842763353854,28.537573479333343,27.6760274344105,23.512797337269372,23.51219381473807,22.034717994398918,21.76600272011904,24.08023209334322,24.297940471933316,27.4718948815808,25.856349556706682,22.41508541773329,20.191341093220323,18.369394758732188,18.00459008264223,17.608518474744287,21.402389535585225,22.534082140054643,26.11240628802763,29.284251327345338,33.45862503218078,33.58123193516294,37.98152058875905,38.345865684474205,38.779481768345065,34.73927038948514,30.42227180053608,29.176992645747028,26.672581503490573,24.22621982228515,26.449938197379506,26.54517295981244,30.73365080980502,29.343250393183403,28.107290691292064,31.778406813783604,29.98852157073209,27.339220536411645,27.02542095617264,27.721394429515566,24.891034494377877,27.514651248513395,26.016244582561285,30.9390377265189,29.99137618338123,30.229610766418876,30.90915607817034,28.67058206645429,30.552487161569392,30.29944109145581,31.51211894123203,31.075210528836852,32.439438188435105,30.69120541709599,35.07877567591364,36.15131281372848,33.55335717291722,36.81973785861607,38.406290993386,36.31720122131821,32.503561969853564,33.13483738380852,30.977345545027045,34.6072986053889,35.532781004339405,36.205163569794436,37.47400969555701,35.15538842744415,40.723082618162664,40.12732227138533,41.560046296141856,39.77045427667997,37.141358382127954,41.49291450168576,43.722117844259046,40.745822428039475,42.852771169507434,41.09858960897896,44.86496537869369,43.639794304542875,45.14491884987871,45.912791697849485,43.933821678643234,43.040965937371894,41.01321811472677,41.51269792494969,41.94694125479954,37.316087542383315,38.814531936620305,36.42629793238545,34.8297559602192,37.769924636450526,36.00635029303592,32.20940667839374,33.44102988406617,35.85976576132099,31.546765624159594,28.6762555502744,32.905634091807585,34.20797636351199,28.201879384939772,29.318653565924954,32.15796948947835,28.90142683565521,25.953626809007957,30.03154232175547,30.20509919739488,35.0055860676957,35.56450561408827,35.9835368151896,38.97068925934697,43.550958960071114,45.96445904847391,48.82930859230513,50.01443352872342,48.04994492244146,50.05190036519405,47.23423791673349,51.43439955386957,50.61793184409273,44.59577298147462,47.232140595648524,50.75130158263985,46.786692620767354,44.34568165923038,47.26157165471406,47.40666300100933,43.15085417242355,41.76983173918684,39.15047144755884,40.88944025719813,43.923607862182486,43.12018849446532,44.574416646814285,46.82383407974246,43.61309125342686,40.5466756969117,42.42388184026238,41.91947977291377,37.352262630940416,36.942446019685306,38.41722474237713,35.93422381392455,33.61093156444676,38.360807603910914,38.062071868768086,33.394029253745636,35.68170588790436,39.66847318376483,39.17506733473326,42.09876970655383,41.24093714667388,45.12251575250954,43.60180799081985,38.326851514730876,42.044709593029125,43.611040238507755,40.414568958720935,39.08747796645336,44.96771738352361,43.80395717642692,38.521933840609556,40.76403603622404,45.506014581999494,43.09816594330209,39.33914126355392,34.6674433670099,38.26968537647115,34.03218779695322,34.800839043617756,29.515241780416144,29.746736434463433,25.403826275665622,24.627608012351935,26.626965957827423,29.611396674638225,30.27925760848239,32.02221759602535,28.076326655657116,31.072883035281002,26.572267919400527,26.04684286210858,29.468700187158046,30.716381759147513,29.29834092804242,25.339542194371383,26.307433861293866,26.191872193614746,22.347093247866315,21.036884793698096,23.328639189773895,23.743032183982997,23.626971884820104,24.597402534190014,25.922261045158177],[15.250865913303839,15.461066671706524,18.10280921971514,13.84040704357604,18.869240333862177,15.858453419921252,17.652140203631703,20.527652351428905,17.85858235142565,19.570364883866574,21.07940292737022,23.82858688765343,24.907250302859744,22.076207755859286,26.658318602778,28.927741536702104,28.03431670459094,31.877072061459604,33.85826946958337,37.00116935857282,39.977520475640446,43.97976282640213,44.369268535413774,43.60913630126032,41.244515830653306,37.017107266729674,35.66556659766778,31.859122899661603,32.500825336942505,32.231786864198874,34.02400816634599,34.17292728694847,36.98057412189247,40.642071733354314,39.11903862040474,37.55084937302294,37.180119156243734,37.95861944155914,37.94654416396655,43.94979502129861,40.861202647180924,41.263243539296674,45.70747146223394,45.87803637654883,47.303514929211595,48.3610827718031,51.48973440698883,50.80438264669128,49.58720629610197,54.02820425553929,55.03735430968359,55.88331611527075,55.860112566277856,50.90180138870257,52.354026567608145,55.85893125757838,53.02645609637204,50.171115654727984,53.929263876853874,55.837723980037396,50.9375109855474,51.270370009150994,48.69761363991916,49.877381673779766,48.297369605121546,44.81651744332122,41.09553722891854,37.913681626689474,34.71869527059512,31.925855109064802,31.078021460002446,32.726451294145754,35.061405981327965,38.76654995462261,38.545693541057105,44.60311922288375,44.306453296722445,46.921132583101155,46.48644342677244,48.165761769588315,46.42694775942804,46.56227915529396,44.69094129380366,45.28862423990265,42.425196545447236,40.716090821888535,42.150831395165895,42.51757784968899,41.67613187100684,44.005276987772305,41.12602557113724,43.396689695906055,39.70222614006414,37.678811263489564,33.08206197776878,32.51662578958981,28.304301031215754,31.845624676086334,29.63706527887841,31.43777285232168,33.88859393191676,33.684240967019356,35.91213057502873,34.66333945931613,38.43390326882372,33.90587177211119,36.67167071117003,36.37539249992418,32.30913540371329,31.60377941213431,26.948519010675465,27.10755287302184,23.070380272001156,24.027260406390756,23.410752675842886,23.796185914411463,26.653786094778198,27.511084929347977,31.15059313880357,29.02655038351723,25.81212743156805,23.026775872081046,21.313021504072367,19.95125381321466,18.35539717251159,21.814058786017384,21.231457230872365,25.553613364073737,28.33701885612278,32.80854022569059,32.74685855532969,36.955057255111576,38.000432554742304,38.39434213303363,34.792645636502165,30.689820038391243,29.134007309700202,27.54610303266848,25.857309116280867,28.33441064230479,29.431036478595928,33.865950378296226,32.41037784182191,30.616733514415063,34.11482135368818,31.977254171997537,29.105252099502486,28.123971419503494,28.033452350378887,24.68919798454955,26.390003433030024,24.602264183282422,29.079060034712,27.599734529740346,28.692273511055774,29.821404007359515,28.212967932624462,29.780248291946158,30.459950058090108,31.23858666872422,31.567263962803626,33.68528945957869,32.275884775544945,36.699250670596506,37.730273725525805,35.352581553202064,38.02062882094166,39.82972867425729,37.240981247648776,33.69746212153107,33.94899637606513,32.10243348920626,35.59259724677818,36.315773171883095,36.991298163169155,37.81546899559106,35.82641820197662,41.16419220240057,40.98445318026793,41.99622200109518,40.54586476912502,37.14165132185742,41.623648055594074,44.07150106252806,41.41807416477683,44.14172548015059,42.85420184571854,46.75122870193761,45.77987670070008,46.74756749137609,47.325809234928485,45.00194567194612,43.72804708293672,41.33060744311228,41.380289215702994,41.37402006613209,36.5930625672765,37.51779016589888,34.62445031103198,32.881466073463656,35.17773677907624,33.23510706852285,29.698896138711074,30.581048978021578,32.4967398801023,28.09994679300994,25.448180586791814,29.197050083717805,30.076825091826198,24.04650210886479,25.041608003937576,27.50995917390073,24.10531232509111,21.200436974153817,25.169205475931665,25.79583574598287,30.217208806701056,31.594130819639922,31.97555799943325,34.62202703923268,39.4506758781084,41.48616297977638,44.76039366545747,45.97916945696346,44.34197556947848,46.549473240463804,44.02556677176439,48.41912754916503,47.39308630253802,41.63129271705459,44.57790563099001,48.12886895596766,44.17308288644895,42.03255375986495,45.30936859680729,45.314233577019166,40.94936236532948,40.25398831057126,36.97195790102316,38.970206887739415,41.66739762607192,40.30149792203676,41.82647326547647,43.63880375567782,40.778960810980315,37.70501936810633,38.90971931048787,38.4917896769573,34.187751650725815,33.330061063940555,34.40187571735992,31.85365352788024,29.4462918471797,33.961373962900545,33.41660033735734,28.625782777282193,30.890874633369968,34.83684278174931,34.59667933945246,37.77412247853629,37.3413197596971,41.25933857894032,39.38035998997234,34.382123852249336,38.494934250815724,39.859342226044774,36.59671252600147,35.85281996351727,41.704976033776745,40.32432855460387,35.31830769294073,38.036249102670176,42.568399703388586,40.039036934238986,36.498985607709216,31.785771841344534,35.49432616620784,31.271204371852956,31.3140566802114,26.17364983277548,26.237214096460885,21.703854984191402,21.451025419184827,23.91948339001434,27.239252832275998,28.20001945404103,29.47463044656159,25.950601879307733,29.202657306421614,25.037203733913493,23.432870326658076,26.81737216457059,27.44842233743664,26.48592166245953,22.64990354790546,22.602920778520456,22.45421083382179,19.55195956213906,17.13376586387975,18.8626883920405,19.898661152037135,20.32112545051741,22.00897952872091,23.479146602744116],[16.91149387174554,17.9226387474926,21.011675971111107,17.5227611163748,22.3412499211417,18.065625468920295,19.636620019417556,21.50355815712505,18.30389776064645,20.40043142320214,21.05338372737413,23.34370477622281,25.51637183334714,22.667735284523086,26.630660428746324,29.174833685127652,29.095848360976124,32.7791662649971,35.18135283059392,38.393353121047994,41.43693620837868,45.60820746712811,46.097374173561214,45.71291309164733,43.38023544999029,39.0281526491051,37.73228250568075,33.76519279154401,33.78958086713109,33.097827874775795,34.04922424580029,34.248912506502805,36.495761249105385,40.33254745582957,39.342569555060145,38.22770866118446,38.004574950166436,39.452105299471285,39.89162197599295,46.04566728273604,43.304167379322124,43.18384792670401,47.59847144134545,48.138333186784784,49.763243797222934,51.132950628371056,54.115643116695786,53.15670987324665,52.288913797818005,56.75055391981635,57.39155033003999,58.18714202248159,57.91637714456621,53.032145295879374,54.10931096987812,57.54106170475341,54.79249115016776,51.660801318957894,55.20818711406722,57.33951282947179,52.36344716004815,52.221154196297846,49.343655303762425,50.64014324122507,49.499485529447384,45.92729318481006,42.03191452152603,38.58555935225841,35.46916857101033,32.20404730337381,31.497454297081248,32.795529704865615,34.96320684878642,39.05586574829797,38.64006834019195,44.519713519027256,44.73201613127278,46.967094726221625,46.94396517543421,49.043126513031496,47.34532093348396,47.994486352691546,45.961556950129435,47.03913059067656,44.474256254700066,42.27623683297551,43.52201477835088,43.35860809090049,42.45382580228385,44.080345977832785,41.11132258560747,42.95720702802184,39.086073638035046,36.89760737791448,32.50093971758279,31.369532227769668,27.419540042951557,31.086683933651965,28.993473387758193,30.466359731502713,33.69136549948657,33.830806941623315,36.53416216866211,35.68554710301494,40.05987176047379,35.79171502714702,38.61433349652631,38.846363445168365,34.881143332120175,33.624011770416416,29.164512336158396,29.359907671543542,25.026693813340735,26.540765846411567,25.37055625087414,26.357035149703496,28.828808821095272,30.21503155705557,33.20901542074132,30.5390759645298,27.521676340858686,24.683463322404577,23.92538414175443,22.599076635627384,20.870638483582557,24.94153122490069,24.067912293393757,28.512185390011908,31.317244156818123,35.5343419315237,36.0885985049341,40.07730487993445,41.34027266542669,41.21115380429259,38.097866595560745,33.918875052812034,32.957740881265586,31.26544051608794,29.636711585142706,31.677246969185063,32.9771127899837,37.147427882255734,35.197759758612236,33.44280257517684,36.63593631381937,34.053113468658374,31.393503578372943,29.9002235322148,29.77176758005523,25.97159792223149,27.47905086830414,24.796042073410373,28.92521396416894,26.469510367045988,27.57482686027095,29.405478314932765,28.291864255639346,30.396013825678594,31.258702930540075,32.77967644032744,33.82209213042446,35.638364321448506,35.01578929359832,39.21359940210419,40.85411444334336,38.99277198953614,41.67643502112963,43.8168653700179,41.345977005862004,37.73092135245296,37.72200901206136,35.57666169986581,38.6030554160964,38.88575500913121,39.093418345328416,39.48312176483995,37.09743402834005,42.34952461786776,42.734649983020255,43.83039967692772,43.00274132966967,39.441549176638716,44.32166924532176,47.01655385700915,44.449447297304545,46.96102670439057,45.4973954149981,49.57121975256791,48.99404688139752,50.0584189890119,50.884385966493866,48.40386304527175,47.37354531296674,44.98410131617979,45.001674044284066,45.105333496325656,40.373507378472475,41.04248147207744,38.15570987927563,35.950562530115434,38.12055096385892,35.68412965899661,32.42062825562702,33.66972200089514,35.06599306072155,30.4479544244589,28.633923233840992,32.01205886954625,32.03867618400988,26.342119454816274,27.632548823774933,29.555735884130872,25.692123333919227,23.46119896040652,27.429206726642324,28.626684868216486,32.417153607543185,34.84952241445951,34.941953290708646,37.15953809149813,42.168594031359845,43.69473823639188,47.356993246737986,48.30184492976892,46.8203902292423,48.93581727932577,46.37966301544494,51.0098600902812,50.170843821318485,44.581245082760546,47.46079757593205,51.295995081896905,47.553915554283684,45.405234019912676,48.7803904760586,49.08486670260498,44.74747083673372,44.044150347445814,40.47430789282821,42.030175120774494,44.52816150717988,42.81289876721642,43.93323713892254,45.32213917363151,42.358996264543,39.74148930879467,40.52925881271141,39.637893987593316,35.63513506169309,35.014068279806736,35.434927608101034,32.62212643356361,30.76053723525094,35.15869159589075,34.05636415952179,29.27913265829399,32.11111683259102,35.952593735518306,36.23317508436587,39.44355763709737,39.223432782214886,43.33469516667884,41.47889891402487,36.7850054422331,41.06818399183794,42.588718225992785,39.429540359332606,39.004431830385556,44.863166497538884,43.62815020248559,38.85842159788181,41.69552519629892,46.22700730446912,43.81774050183783,40.442510954745885,35.779528034828694,39.653757794796334,35.53086459418746,35.087113515395124,30.097167268414342,29.803310388665817,25.093849828057145,25.512554142601516,28.088531346751708,31.601257883295048,32.48347740048021,33.277422833391405,29.624495988709064,32.59974338944841,28.310174374707447,26.26392366650025,28.864648900645555,29.016733497932208,27.61528000595893,24.60303410171953,24.269817198494376,23.1811943643054,20.829770518984045,18.76677347795821,19.105260004559035,19.60316486435426,19.57074715600877,21.235156847283275,22.06363460478181],[11.015030577201497,12.427800399644306,16.161934254650618,13.769023771988381,19.138177735191707,15.014938425650609,17.747643263933714,19.713086032243865,17.748629789565936,20.827800153771477,22.174384656202474,23.871683988125437,26.067654558803735,24.1635871250633,28.362909662975145,30.38171339562223,30.301604357114712,34.46283911143119,37.24331702000649,39.930357650958015,43.31570947751596,47.19552360673087,48.02206088127885,47.548645899373135,44.8333386468861,40.67147479847861,38.823728112570606,34.77583441512492,34.81915847651276,33.755703095166524,35.7168150018616,34.976018270399635,37.5497228473722,41.682553457591474,40.29613026439063,39.34533908925716,38.387497989421604,40.087734482856014,40.24494939287768,46.06135237411971,43.64783272275856,44.18530769558876,48.4828677903916,48.66303434901446,50.50792219329332,51.66009160525583,54.81403446930062,53.74967898902137,52.4136294633568,56.829767354156296,57.61723633055073,58.13377791959544,58.04851136216279,53.30715122288389,54.24255115061637,57.99347160099098,55.56523220095633,52.40139825941194,55.993031014700065,58.35618129343492,53.67824949356538,53.894591848559614,51.05870023079153,52.811073357577676,51.34528938818217,47.540732935264735,44.26178077322438,40.687113375302026,38.06572506383169,34.85564431709436,34.507368185697736,36.33873842298431,38.10456449184435,42.01039023328995,41.10719791597892,47.01704204852493,46.63216923865164,48.75875209267039,48.30031661494042,50.104721781593895,47.86721636599707,48.157268056398145,45.64162222579368,46.413369426429796,44.029345650166626,42.20130730116839,44.08195245374925,43.7796999665663,43.62731247867725,45.39708306019051,42.91268910250343,45.249915996843775,41.333590395827514,38.82562520846319,34.288933997629016,33.58851494818572,29.507396393973586,32.22290011740941,29.551131416114323,30.201777362102074,33.603693033809826,32.646750226539524,35.77019446366388,33.99156537473145,38.12649320604702,33.47116166665712,35.70027707800533,35.75098366749139,31.53189317353315,30.591174251455858,26.18898685552951,27.33677699404931,23.48677462500979,25.523620523896728,25.478066445216054,26.658232334154885,29.722350757867524,31.326909601518427,35.04061513456201,32.313012351743076,29.45145059793689,26.26462413052551,25.06801242575357,22.974677420528177,20.422397256141206,23.631721392003147,21.36563895678393,26.207967994430774,28.5266045659921,32.993316565561415,33.09821921105465,36.89951593820838,38.665465609215836,38.73465244652357,35.876263302480545,32.04367223676984,30.600007385528347,29.818646769284378,28.886483640608162,31.265267576654796,33.314480904876255,37.742345923958,36.02355559111943,33.788800950986484,36.916881125162234,34.32934927578876,31.424352610838934,29.66547511926821,28.833651817158994,24.97332637606792,25.613447815584788,23.287247546024528,26.990276722051714,24.696624333743912,26.661841226744222,28.41614390893103,27.66161315773214,29.03867953392735,30.671525325616194,31.287484986391135,32.62979382902375,35.2608809460073,34.53682602271751,38.78887476544601,40.04540962326134,38.185153351193755,40.26695469538734,42.439113407866486,39.524067442176325,36.255707052913756,36.00493419122379,34.31774385062614,37.3548188355439,37.66547555177563,38.12139085721657,38.32718348802349,36.54277200179942,41.51496018554398,41.95552402377246,42.58426083586976,41.75013653203824,37.61902667201354,42.320430473021325,45.052612384762945,42.785260902119155,45.93215784299387,45.017575695036484,49.06584666558128,48.533524101682254,49.03833282138615,49.56587738763863,46.86850749878074,45.40095145479921,42.712553867025946,42.33513197781524,42.0006685516777,37.21311134009495,37.445277336315456,34.17524883202129,32.05217438171803,33.63672593499219,31.276902160633163,28.234379687006996,29.007690866000075,30.092699719317206,25.58464413084437,23.783928596268016,26.74229678769768,26.66061961952817,20.96912039264615,22.066158309526568,23.78452267130878,19.98507513881584,17.70528803613156,21.559834618879446,22.96036050333005,26.5240981495465,29.33939119276009,29.381138063898515,31.4073168128321,36.492741847571935,37.87852285570651,41.68129899201553,42.706362194351016,41.432060081586634,43.72449401250145,41.451183290252594,46.107939356616754,45.03799813499848,39.667523011087724,42.79502093707239,46.517230777274264,42.76397646459973,40.89460689861207,44.49939064178054,44.60149936747641,40.23248076927146,40.113967269761254,36.12508237676996,38.027553698029486,40.25916749152476,38.20815541241365,39.54969279097735,40.72048369123953,38.168437669028386,35.36713168537352,35.714474666856056,35.14417808271989,31.305528090092068,30.16169525735916,30.501664592944227,27.79616672881226,25.628345942898196,29.80629373217883,28.75652992864938,23.907165382514076,26.453149780150202,30.276301468500172,30.55228017993885,33.9194026413991,33.97120032785142,37.994902000144926,35.867905686702045,31.34664345141995,35.83764361464123,37.13883342242157,33.94716415643666,33.89940322163714,39.65252452625105,38.25984902095406,33.722405423254266,36.84285543736037,41.15952270498723,38.70722135020806,35.52748379178683,30.934338353847405,34.85919003845795,30.886188147196663,29.93881805867261,25.148208103944203,24.66596894401355,19.981298515353448,20.839992162893147,23.61362489296307,27.261804303759863,28.30311161603916,28.733335127226386,25.59027889093457,28.758869943810286,24.988674541520606,22.17824339015814,24.937275234403003,24.685730117040745,24.00782827626691,20.864069734580134,19.618642882935063,18.96013409443869,17.510851711378876,14.212545497931446,14.455311391316496,15.957350118301298,16.84069349814104,19.257524263889522,20.6385717757151],[14.402646718757108,16.414640985339926,20.565149234060286,18.23678465515322,23.763955583953894,19.73110740748482,22.29947165038746,24.098922417319017,21.736783947783508,24.598027624478227,25.5165780806167,27.282763246665212,29.778548860034135,27.474399422810347,31.462826135576734,33.7750133486649,33.831138496921824,37.76063532349151,40.36706123348244,43.352856610074426,46.560784030162615,50.611060246828075,51.24091724432213,50.7831296887544,48.29075957908792,44.02142078339181,42.46578184099907,38.45062818371126,38.4646998556171,37.49630248927384,38.8690922959746,38.51047182321363,40.78850932358395,44.873508317397565,43.79511058507365,42.88037940496357,42.22838445958396,43.93263617210428,44.22753036081752,50.18924425524681,47.62940617252843,47.89173502952394,52.25388882591947,52.58660603000849,54.31184270842817,55.5193948280242,58.61319207941031,57.636958182737416,56.46460318763202,60.901280216209415,61.667856727015426,62.29485296565759,62.14408177794784,57.33999469005152,58.318141011151766,61.951832151857545,59.392836572598334,56.22071237466743,59.77773640780804,62.06308012264503,57.23825136824377,57.235424338846826,54.33339148718982,55.8635427287468,54.61496810156366,50.92112056303946,47.28694734979399,43.753668777291516,40.84523111427646,37.546376949084106,36.98451438080186,38.40259360897393,40.43290505555656,44.51992768512584,43.88181238086955,49.73909318201909,49.772852393351656,51.86956011332617,51.70115580977968,53.71247922172815,51.68942066036241,52.1878267513072,49.795989027312096,50.72291875817214,48.30769070374335,46.31842287735575,47.95308461787742,47.617868459975924,47.163206738771194,48.71873363619485,46.000166161065245,47.98532423764206,44.03614257238682,41.61765585880215,37.212530162439116,36.11818946372185,32.1985336815946,35.33189892065239,32.89016815030463,33.58447366331831,37.28594415587298,36.67415082226732,39.878255336707475,38.37146635178921,42.67209927711699,38.1018458361938,40.3671738928109,40.477830193119644,36.26047825423059,35.277113706458714,30.901966754260673,31.9626581281805,27.990698994702754,29.921035781335085,29.49818736285471,30.57938720814308,33.418784067435645,34.844848273957794,38.251694290337774,35.585039174863006,32.611755962330705,29.60894443989137,28.547087739933946,26.821967123473303,24.594938975340025,28.04808993487817,26.0661439952436,30.86746959884608,33.23992647877005,37.703821609993064,37.783679036214664,41.616385174546664,43.34369030540902,43.44251887106644,40.50755080473617,36.617678077437844,35.11370154218445,34.17514295416882,32.990499303736584,35.38006717393444,37.027342421638956,41.42296347805378,39.7035974344062,37.69237010072453,40.90039506567595,38.326263361656565,35.503275026164786,33.82253447691561,33.192686961337984,29.27260541123277,30.036323037913608,27.391574579318302,30.97706540529996,28.144093188162778,30.06784792415215,32.18898964433336,31.569366616556184,33.25588958181814,34.78182148339465,35.74722114420881,37.10107944633277,39.493972958016364,38.789734134142854,43.05118345677442,44.37815172754839,42.39288597662012,44.66442526630846,46.71511633105038,43.85618537383949,40.52645645626067,40.43398703992582,38.7042352343775,41.82649940831739,42.158510269011515,42.5419711394341,42.747142858860485,40.751269878008046,45.78034207984725,46.30107482971812,47.050426361888974,46.25902916630297,42.23107214688703,46.97627727896768,49.69649559752417,47.364334642494015,50.37972052089719,49.30589919350794,53.35131591480151,52.742552071795586,53.41962020472858,53.97739527221122,51.36695244241235,49.93547882190265,47.28937001104499,46.95979753286738,46.60610628888555,41.79764131984269,42.06788452433401,38.72623151997237,36.70835963404711,38.14558110187326,35.82492847372254,32.85941761378314,33.430790646666786,34.40016521014627,29.974165148572236,28.084853212029753,30.80867150920545,30.646462966902607,25.045075245720497,25.837570669107812,27.273410667280768,23.586807179933402,21.218887415820873,24.55196049254919,26.22919098053851,29.5052832874534,32.53894832479605,32.930166974887115,34.76794709167631,39.946608319366966,41.094923113761325,45.17150082763923,46.374715248580344,45.359239312308915,47.801541570029364,45.726467425253446,50.39808322091264,49.170289522082186,43.948467561067346,47.211350181243034,50.829251023744234,47.01610658379202,45.30411108603696,48.97046268753672,48.865978764784835,44.463494261715425,44.589851397422244,40.56843985599838,42.657667849744804,44.83146704208344,42.66434355806564,44.03413579451798,45.01983018855288,42.590797397877594,39.856586520296815,39.92250735851938,39.32810856555224,35.6818304788644,34.40838996165971,34.45322453966197,31.705472572006624,29.630205168122867,33.525001406904,32.2065233090908,27.36733106814495,29.861225111993217,33.53567809861195,34.05489558708168,37.61247830853249,37.98644017103281,41.950565394038485,39.53500787025752,35.269942600721414,39.93392481253656,40.9842258023125,37.72569442217162,38.00097793817745,43.638672748807124,41.935302444793145,37.549862923829245,40.907902799437714,44.987450827574264,42.28196324245226,39.18358711177288,34.5763447531213,38.14801920703705,34.012043766870626,32.98117460788174,28.422130379895126,28.385235611154386,23.893814451716025,24.38095683194865,27.404992480020784,30.914849342447607,32.2907959412195,32.927174274685505,30.07215200291759,33.372347424590906,29.673068974738072,26.8351647162062,29.57930276293366,29.14589686267379,28.47976383792726,25.53657706692005,24.054380174016295,23.220071442017005,22.094550017799293,18.757048910384537,18.408213368350804,19.858184458794334,20.56685597896902,22.952722066369514,23.873149900514946],[11.504112047516742,14.088402819761223,18.86242423141359,17.533606282389464,23.41410628298617,20.143987451457466,23.46578679681334,25.48983207307284,24.01661782913422,27.26035978490082,28.66347459628521,30.19521227758608,32.4946366998449,30.66233289952384,34.8689716106026,36.86994328370784,36.74841017196828,40.92777714718428,43.583688463467425,46.307206076243375,49.64478865691424,53.5014659582514,54.250042796714105,53.62110543672227,50.95409619924585,46.82791195888594,45.004408111615156,41.020771328642624,41.217521729086,40.16374306681808,42.21843268527822,41.366767289983166,43.90309765425236,48.109472855537625,46.72746339667092,45.80919907320571,44.73050099327873,46.40349926254486,46.41621358034412,52.11189208599081,49.63488944199844,50.41156765417576,54.7087006814397,54.72359011902365,56.485718523788165,57.44810224283732,60.67368522635332,59.75599223738855,58.19613677793914,62.58006605830879,63.56920400670585,64.04937113575575,64.09350737533079,59.36748473844824,60.38000201974596,64.20171857192754,61.802633685913136,58.70839857978779,62.334820622844745,64.67295102446718,60.03991193759793,60.35079060389508,57.54985203449599,59.267596113405844,57.74762841943532,53.97386340806319,50.6759638203903,47.158509181042284,44.44251512600102,41.283644837927966,40.82313072594662,42.52037050637049,44.45292652062895,48.3799884748053,47.583367061574315,53.49445151144186,53.13721647707228,55.25897481702447,54.782098264787074,56.53768676266925,54.21182949961677,54.375472580163226,51.74399433252678,52.355229243076266,49.980257401189995,48.360728094160734,50.399262841877515,50.113983576894626,50.08645722758103,51.861189411431134,49.41250582429575,51.71408568008703,47.774510504472225,45.228875235380556,40.72980244233459,39.92622666823035,35.91150952332961,38.55023874296991,35.79488888121182,36.03413576054703,39.724829647066656,38.36981017249277,41.74523208270957,39.553757652137456,43.512206525335735,38.63898406003934,40.388154185214695,40.198403359699135,35.79660241691568,35.26177974396426,30.97235663481807,32.72082564066729,29.233461934408535,31.29605487986401,31.669185674025975,32.65640302699827,35.88108612297844,37.21266965760404,41.142755048692244,38.63498789154034,35.68046425792815,32.560762150671124,31.02267300128036,28.958269463157308,26.395334412177807,29.07463081399349,26.289924519254242,31.221630604661563,33.16361215437694,37.83594864133182,37.31512537949544,41.02058724918486,43.05868457282687,43.51657490753043,40.625957860433644,37.07308424800136,34.97198654932158,34.74691227151333,33.98221727510015,36.725345415148624,38.65075440993364,43.25371682295866,41.870761094735535,39.624187744731536,42.88416586316167,40.47076466871078,37.47385726118032,35.810144280633956,34.78178925268006,30.98844490819421,31.213125656038912,29.008761671122105,32.259910048277604,29.658024542159254,32.154204671328856,34.13835949299319,33.69434931532608,34.80832101057061,36.77567307094803,36.99299827253735,38.34098325283952,41.297404910339594,40.29186118639173,44.62452017194758,45.48637461171899,43.29018055007789,45.14986484138818,47.026150170073514,43.826019368513045,40.8188638313996,40.702628031044945,39.441812392746094,42.7245776940632,43.22692232724828,43.911106283848746,44.11150738207762,42.61078182961639,47.442623286155886,47.860247701757636,48.2767646849395,47.30590394138868,42.972669062174916,47.41478218786694,50.05024307886268,47.92018548807954,51.418310754567,50.758267688626034,54.6923385518264,53.955492420329165,54.23871481410352,54.4842804720171,51.81773176919669,49.97933357397382,47.13250559984492,46.51063974778972,45.733711424476844,40.91084214653688,40.90185458653962,37.21468488549819,35.53645834154386,36.364843847671835,34.35930444960629,31.603518688234832,31.450827485251647,32.21958629893039,28.127893903660674,25.919945947386058,28.130287213525595,28.143156768443436,22.610202478654937,22.81566686724508,24.004134971179447,20.758073863270646,18.03094007759996,20.69679654778206,22.566409977480948,25.58970771188241,28.736876047757413,29.464588142814524,31.115659109626446,36.32890822013069,37.36300053071354,41.59681033557871,43.11020636795629,42.42192470762141,45.15313605379931,43.50722705586895,48.083363865379084,46.47112535405849,41.53617134448035,45.11473714134183,48.422308276292426,44.508824386560825,43.18375341511701,47.02879763065517,46.49206663462061,42.07085443315234,42.90288558589551,38.629720504543556,41.290458409288995,43.23249741415018,40.83685021585428,42.56131630959722,43.381004320118436,41.46280105013675,38.47228134744324,38.10878327508242,37.980926402072626,34.54658200309719,32.64044735660006,32.66344329637383,30.140551702384254,27.6621331746094,31.118202623331108,29.9112057142712,25.091922592978744,26.96306488667926,30.5029110222285,30.971426806553755,34.77221398036268,35.549360958215004,39.26777233623339,36.39550965831959,32.41043716630278,37.27994127592975,37.865708145927464,34.515364166334805,35.27078283383203,40.66218404549771,38.53858589932557,34.44594457300555,38.16931316025209,41.833675602609965,38.88000088438879,36.00053077609274,31.490621577602138,34.74228834889746,30.645501630959433,29.22398956349514,25.06795485007551,25.3292071478413,21.204268048103422,21.58722649665734,24.890158647961645,28.27727003743923,30.05601213846472,30.64612958581699,28.591239565183113,32.174217135066506,29.11534844986503,25.81099882684558,28.882273474999266,28.15532468827429,28.304429889811537,25.175275049142584,22.87565065490206,22.69393099618685,22.38867882221026,18.01103900505572,17.7071384890422,20.127960620030887,21.593702786498273,24.43178459266491,25.703662388527555],[6.256275182926595,9.25020577738795,14.317401930706955,14.457411937121524,20.151652423523597,17.55801185425129,21.505556521301806,23.56442288072727,23.219101584294126,26.858872963814797,28.788092939851925,29.927126781692564,31.945937225751198,30.878454939380525,35.19394345814089,36.70494252056928,36.48098999324886,40.94121870397971,43.8218545299978,46.05159865970025,49.61975044842033,53.160072375041416,54.19454882520742,53.49664021983202,50.525469815968556,46.633537860759525,44.372227277261864,40.419263866544014,40.667399890367605,39.398677705031915,42.309146569630045,40.75395146191877,43.59899575629618,47.91524027845185,46.14521802920743,45.29864432431146,43.64566534233163,45.399825227029886,45.14585186172411,50.44280403668046,48.2684357850213,49.60484018040499,53.73538024178115,53.43596942307995,55.359618312788896,56.13019698778071,59.46423699400419,58.4605534313995,56.52341819739221,60.81330320784016,61.91646887802175,62.15817935460917,62.366229932688405,57.808169848572106,58.713799935603966,62.76882755471512,60.65830461714777,57.59012719290854,61.23732475355207,63.72917866419005,59.3993501587337,60.05569298086546,57.355475611045065,59.42975284387583,57.60438305179869,53.684966946059966,50.97024873688929,47.41804420508939,45.152001783092345,42.131868371843915,41.966451129698974,44.1290091098986,45.70534310068067,49.38356408586423,48.20907892014767,54.1035005228722,53.17779149413667,55.246070945950535,54.35262413971315,55.78388879495264,53.048571006130985,52.85224216639476,49.9008807794043,50.19203036950064,47.97829574628116,46.73794981595889,49.26942423132738,48.949943217143236,49.53031100356324,51.506561422741996,49.493008814880376,52.23865648735184,48.34717806143303,45.6265214658061,41.056741591017236,40.716678905095584,36.62671536419854,38.48957612226664,35.37072754535515,35.11466756917699,38.610645165563675,36.4051789015851,39.889662955478634,36.969585250017275,40.51395171765612,35.4417264114611,36.64643085115288,36.23903198624998,31.74887700414944,31.577173136808074,27.49946663597765,29.956315184295008,27.09154565866548,29.40249841162787,30.68113411591724,31.751621354457868,35.33074767034114,36.80706368229759,41.22610403679856,38.73524125482339,35.98385138398723,32.69049446816266,30.870298801412517,28.301433275109694,25.268738138301593,27.04816165966635,23.28919098898417,28.23609572743927,29.661816856744863,34.38213576022349,33.46399806770625,36.91363788116332,39.3096513555146,39.94441768116896,37.32115507261001,34.17864198456871,31.75472055918688,32.316861908813856,32.186272521092754,35.07865019724525,37.603718396996896,42.279507803988444,41.09418122298136,38.501366562241486,41.61408455653732,39.27802324263773,36.16702981048321,34.388397304575456,32.85388173118477,29.256751728246037,28.82624297943361,27.205650155588618,30.055144396607066,28.007884723788216,30.9776267130678,32.61514928550433,32.32766971240734,32.73789606342222,35.17778875714837,34.566158713139714,36.01815968553642,39.56286559390785,38.46070568778528,42.72653236913438,43.236088682503926,41.12031837523457,42.41864366752089,44.312714501980466,40.81921583570921,38.18092826274846,37.83423209046444,36.98764901079087,40.17811695776988,40.70832851220214,41.613821216849246,41.712624121018905,40.781216396691505,45.29392852519641,45.66435676891771,45.68737339436822,44.669339802133344,39.99273750037147,44.14779340194287,46.74612730126932,44.901675478620604,48.862265617668236,48.676617634066254,52.52255215030816,51.84036393133781,51.64697138915859,51.647362673604995,48.83490403671826,46.67245635661677,43.6312845650965,42.693429517179865,41.57618909251619,36.81300548714006,36.43753176528175,32.52303638679408,30.977896256750864,31.297309099832336,29.466262233686155,26.959510915915008,26.346765828328543,26.875962334586415,23.040243400277255,20.83134966363912,22.5946055833774,22.646971396450297,17.223873574650664,17.15006497442875,18.209080800131424,15.216604320651395,12.330514564183623,14.846513863070273,16.831971151121905,19.73633176152607,23.120754939156864,23.701277739430967,25.2506364699589,30.474182741098502,31.527437843071247,35.73264745514895,37.280513974398716,36.671210539102255,39.50053958899083,38.0570860970714,42.57732282515183,40.81345589302247,36.052790885086864,39.77069444119954,42.95499214609894,39.07416457720518,37.95881156558491,41.92604311465493,41.27457375591438,36.88959547049757,38.14052957035408,33.60433457267572,36.50098099058254,38.21281711479658,35.635778890262166,37.569136279086244,38.30057023321351,36.75094555884188,33.57633090087288,32.9650134920172,33.2165460535667,29.915082865657112,27.561635084077682,27.7017086470465,25.42213262509374,22.57592711715186,25.802251307200805,24.867494754068233,20.094542949563905,21.465793972168605,25.006354825533823,25.28722517034553,29.149706242657533,30.050814588188942,33.62985612689231,30.612467718318857,26.714106106283214,31.65377323251159,32.085043637160084,28.738216112323325,29.723995520472617,34.99365571757715,32.837044004931606,28.933524442751903,32.79565587091778,36.31155343458433,33.43200801060309,30.726263896139344,26.3536397028402,29.740379185807242,25.920898690103304,24.031404476398492,20.078612332701038,20.00813959517781,16.057924495632964,16.987144839138434,20.290655046060543,23.726071293244267,25.506313457745883,25.67757621628761,24.15679913492945,27.76590941866243,25.329352350358107,21.542661742895074,24.699742275582874,23.73203635628735,24.634291219661808,21.42553596639276,18.43485336364682,18.956123490632805,19.42138589493006,14.248593483863202,14.217418314661698,17.513464281802808,19.71829667940694,22.869909560421238,24.639363021198783],[9.630060628523104,11.804200115569465,16.558827854976247,16.006918477664485,21.947583693464622,20.42742234924593,24.296211429775273,26.954036964887838,26.44526955140267,29.621229626702444,31.729269894743975,33.337313819888024,34.85784649186749,33.38794748077241,37.97626182219534,39.59641084584621,38.90172333568051,43.26640057634009,45.675095134098726,48.129593439719905,51.47418724787638,55.03734580365631,55.80523812095774,54.82727224811177,52.04780611011392,48.1693485723469,46.144171741515514,42.357500699692395,43.03978139633944,42.190515910447274,45.16615168590024,43.9732334814219,46.99136820267473,51.13124431833432,49.23207862877196,48.046010542111205,46.59417547394416,47.812028190126654,47.336861054545444,52.64453321324731,50.04842805892405,51.53531795621663,55.74210976384091,55.290706589714965,56.92827091604515,57.48988469924056,60.87477209330186,60.189956421337776,58.12563026214453,62.40269747253228,63.7961581733798,64.19241501596497,64.54364116087565,59.867304308714374,61.13415569724839,65.12729721133579,62.81534956337011,59.9725319859228,63.76271064300032,65.98700180767761,61.57437116164032,62.406964133666804,59.88968505566621,61.65101463560725,59.67937156855288,55.94165377435362,53.02153472356736,49.708757547853985,47.10978523382973,44.34692392553672,43.88496762713652,45.93355105747488,47.876843218733555,51.44535493675943,50.66703686400115,56.67583590405482,55.74978592109568,58.10853323095435,57.16725666997361,58.463537869620396,55.91768418456908,55.50719774632615,52.832904914120675,52.881006059758626,50.38106250794372,49.37900231959901,51.806783139677755,51.89453782791727,52.207534514256174,54.55214543571694,52.35731316761125,55.10862559760159,51.30566526742553,48.79596824386263,44.15292955922345,43.86036841422074,39.66510949674003,41.91806168527124,38.935922187763246,39.10388548122529,42.24769765359393,40.19826744461627,43.32965154883259,40.41735314239351,43.62599271374884,38.44932097623641,39.68895815316638,38.87276786335571,34.331825797846435,34.59414180583453,30.375962620216313,32.63694367761677,29.858282463803242,31.626519718712437,32.93318292026524,33.48742525717717,37.11557636064166,38.042221711321965,42.628365216019716,40.59454482089884,37.61721853031433,34.53275348215497,32.209840522820706,29.95030388791741,27.308963448233236,28.852712944088598,25.635941008096452,30.393007347160744,31.852162024353028,36.751631674609996,35.27013514246748,38.93023437351522,41.062984793189116,42.19776993938879,39.07463000780802,35.97047613539156,32.98336879576937,33.51835797437395,33.13734111360879,36.358227533879266,38.34339629571232,43.148428904343675,42.36712384796126,39.965586840136254,43.36589631707187,41.39698035908467,38.2158153240307,36.905200490759505,35.62115303716232,32.30838194972853,32.238823386252335,30.970394626880523,34.134131465064236,32.393250666078,35.16293727631217,36.57554737262403,35.94502783079238,36.30877558060217,38.431518308526535,37.628394292179834,38.49075866119577,42.01436279939921,40.312988149243196,44.746237848278724,44.8184670377791,42.161473170894006,43.60127946389298,45.06191954895073,41.52953307408649,38.94458634930233,38.97889875678255,38.372674439058244,42.00929632808635,42.926621240219845,44.14122909238092,44.611942827528935,43.76719625884837,48.434213099320914,48.40028114227019,48.49199096114142,46.98462551843576,42.58001534934896,46.42085058873701,48.77401965092398,46.79359648937667,50.784793234328,50.589851332986164,54.26819159841278,53.172965507071986,53.0603198185767,52.8653023644418,50.293805139287215,47.95538670086884,44.964563924005525,44.104489292812886,42.86019754640045,38.06343218025259,37.97153098889837,34.001006431076185,33.04577103075703,33.348873631451006,32.080242871746776,29.388572741051167,28.208110755756525,29.177699969130472,25.710385036085928,22.52885153900352,24.419513282157777,25.380575154606824,19.78903706818608,19.015594996430465,20.422728049129315,18.24176320469655,14.498552149648885,16.21208576054573,17.7016707902162,21.054853933655917,23.24723044796593,24.679882720641245,26.524137292596016,31.58409791913168,32.97361845503949,36.99459969789463,39.06918229638111,38.571762669857165,41.642049759295624,40.44438048801314,44.69421757645082,42.57135225773274,37.814854908077685,41.72282442481865,44.47113774799318,40.310503436441806,39.39292386182544,43.302710433216234,42.09519746743863,37.667267347352634,39.2238618446363,34.97432589857813,38.50608460747649,40.353443056397055,38.04845775705805,40.39825598969924,41.392098395533985,40.03493848218825,36.51053580633489,36.09669262425763,36.766794917973456,33.34857622408429,30.72546476878542,31.269243887124947,29.23186814195221,26.00592412005803,29.060599007205127,28.48612696038806,23.833379244083073,24.516580034765056,27.940392991829217,27.856696526812968,31.81025707715871,32.77841482578368,36.04378332887184,32.72801389721708,28.80379456470174,33.67614546085943,33.640552132020005,30.121524135675276,31.109291224019113,36.19262591549874,33.495551000879715,29.532250478788864,33.539381941044645,36.73668131258894,33.40182894811217,30.62901266430346,26.201626268976128,28.904427527812924,24.74853542082531,23.27312166045027,19.493995115300027,20.508855919685985,17.112959933374707,16.709969656133968,20.246095331446305,23.24994844316073,25.57749491836862,26.49955294088337,25.51146776915498,29.49897199323061,27.283885680301136,23.950290901867774,27.783579355344457,27.16900016314961,28.340886854501242,24.60448825172825,21.86141147032452,22.98173295056724,22.981738319320275,17.757762313426838,18.559533109582254,21.89943715257315,24.063000910465725,27.077752081243574,28.909992506020554],[10.141234475371625,12.48843934266903,17.122268339768276,17.9229626263494,23.45937744336446,22.434721093454954,26.589022781570648,29.058082206058817,29.18132883614051,32.62648742439664,34.87732161404312,36.14954951228993,37.71125149835073,36.67641253060647,41.212449763729374,42.594916733734024,41.96617428911224,46.451678593549076,49.01327199662867,51.199282223767206,54.6646456738788,58.05385919252047,58.97977726326468,57.97491114553223,55.04440781546677,51.30693745315537,49.052282020553555,45.29442151540503,45.94902269969622,44.91588305191367,48.25683335871782,46.641176458679546,49.718003822312276,53.960134390034874,51.9319751388009,50.87776967842147,49.08498296956935,50.44554751940346,49.84410273323554,54.86980398663072,52.50536036273233,54.30962920705152,58.396687318730386,57.76073463356961,59.493025671971,59.91953354791784,63.358058856931265,62.63060584387654,60.32111643619397,64.51283549150547,65.98301096793314,66.20951831068469,66.66751801427256,62.13336232356849,63.292943285229555,67.42609403659058,65.32335509383125,62.48464052489331,66.25199066342955,68.5917141086943,64.37806246249181,65.36924951498924,62.87832516238684,64.85668110497157,62.7624529973869,58.94164713815946,56.335739462992535,52.98326274899715,50.63147809012414,47.88910714818557,47.58266480855485,49.79777340334026,51.56041683468685,55.053360861314324,54.05748194960619,60.019573049079334,58.854387932930194,61.111176689451376,59.987816848196346,61.14111884316462,58.33616400915172,57.75360218993774,54.83399805241419,54.71204587423956,52.37746690325977,51.59915757808286,54.32849640933747,54.31293550859985,55.01372645723597,57.35379018032814,55.41660382985372,58.33974973549119,54.53366826052223,51.888152281827026,47.261950056223434,47.10744407485719,42.94375037667014,44.75168460536097,41.57518595368246,41.28197683711203,44.50937716857539,41.917176624292196,45.24204870976383,41.86175071101946,44.82012798492411,39.56074672980029,40.28338154931892,39.337651083461346,34.78728445192963,35.33253983081846,31.418880931249348,34.240455565375996,31.92984624941244,33.89761297955471,35.71230958461576,36.347371198728496,40.12729858657989,41.13531534349573,45.93531821289914,43.89366881078402,41.04297692015194,37.883915122470185,35.4801415651127,32.985037287622724,30.109244046435702,31.101283120035294,27.23986487403561,31.909532314498083,32.902915242745706,37.755960844177835,35.92318355487486,39.273916329657744,41.73453350170339,43.02831411074937,40.18417452205739,37.468999633382325,34.210446660838514,35.37823828339758,35.4331597799581,38.73739068268759,41.03951286739328,45.85972683705288,45.22434383369228,42.643171762124275,45.92604272513743,43.997892212987765,40.782522218641674,39.36579454401547,37.74580343970309,34.533968728344696,33.94822655946234,32.918161838044924,35.605638894801444,33.948938627558334,37.10832100193293,38.49639457703161,38.13857200600558,38.10754107395554,40.60811738071497,39.33283478719395,40.360972895643116,44.245606656950166,42.53987064266521,46.88335200659946,46.70986365370698,44.095443870683994,45.101145560983426,46.49974372709652,42.74397690082686,40.51035970533252,40.41113387546086,40.16541255610107,43.71012259540262,44.629205773695084,45.965401689332445,46.29891076455147,45.827476273337545,50.20680499925749,50.230014038365496,50.023766301028026,48.55476150370298,43.89429362961119,47.48266346509635,49.790024665311385,48.07304160900418,52.40470632096829,52.561702483845835,56.14939455391039,55.0869933150611,54.61463049564366,54.203175536489944,51.54885441362421,48.929788597648276,45.793221389112986,44.64329588592306,43.03670415133467,38.3607084446728,37.893438381953246,33.6900764058897,32.97459290433179,32.58386024342408,31.561239166436398,29.286346614118564,27.486068021724705,28.035089422655936,25.071557980240133,21.97693659627859,23.00985969916927,23.911568639784427,18.908127582172384,17.504429002660117,18.326126127996403,16.875305072181856,13.233463340650237,13.638766399913012,15.452319165536323,18.04518054127523,20.62027624571442,22.317467178887465,23.72788021916539,28.738466532734193,29.84069798835972,34.056740384154416,36.36552335246574,36.27305323354878,39.56906025365406,38.843318344616726,42.971963580109175,40.53506088362305,36.23640910568123,40.37196193963967,42.82889273148241,38.713159465975,38.22473130944592,42.27215811946828,40.74571564273592,36.40601093520342,38.66761301492547,34.16572093201107,38.050963024711315,39.54851511646239,36.963749142673535,39.51717196090206,40.21203237603979,39.39090118526889,35.81383626866032,34.86483384216957,35.89998170421322,32.884330711014876,29.755183351302207,30.120884069292302,28.371516804977638,24.986738817678514,27.364135243177053,26.853760937303424,22.508922262282468,22.4847790170966,25.559513368974297,25.505828551607028,29.604307781927815,31.037713780569494,33.979427954536334,30.245948785405073,26.85157763724744,31.835086890869352,31.321103363413172,27.827314483607587,29.436660235649725,34.10199389715912,31.050659760210674,27.622403478862058,31.96022413707975,34.623218007204066,31.145922580757897,28.76794104251204,24.647689483035496,26.976645947789226,23.114146982972734,20.955484885106802,17.99575465140773,19.141559755163076,16.50604553673934,16.305707470823222,19.849460459749103,22.577131176839387,25.166430382155063,25.773533009911525,25.68158412282136,29.656427443241256,28.169473455585138,24.449834063282694,28.165552546451522,27.1765877423895,28.996907840449836,25.4992098215921,22.087662636668586,23.589428081006908,24.46267154295059,18.887751395117185,19.390383689702816,23.16278841756696,25.70844187390533,28.91039357713527,30.822224632815015],[9.195076448603741,10.30448412925819,14.276053787544155,14.874929002242158,20.209083575963394,20.1846351968569,24.30831227406648,27.224751077631655,27.644923957663515,30.784552612088536,33.387770436649255,34.866130140574626,35.80741974059876,34.856183320504584,39.57886954808849,40.77746047661751,39.74946612611412,44.241843354670735,46.58320390182852,48.64664712763968,52.05175015622366,55.28306504870648,56.181455418964326,55.00981305976366,52.063075387220614,48.469578411779366,46.17340996428486,42.56723190750418,43.514581993845866,42.70963394183303,46.46763849390521,44.847794828098976,48.207963298519665,52.291749094955286,49.97844058308251,48.682938080426645,46.827822550932986,47.80043139132993,46.957587953979846,51.81461137184504,49.31887254647363,51.40205918965694,55.4405601125774,54.59966076614279,56.22644713433559,56.48274465118425,59.96694212836889,59.37233970610086,56.8886054130937,61.02910977388627,62.6796246462936,62.92643614162791,63.51726162181502,58.988692001658535,60.34154900305788,64.47592723174886,62.351810195737535,59.69353948655833,63.54129383042891,65.73896959512278,61.617480476222916,62.87122028023501,60.57241297042846,62.4933750302473,60.16778182617365,56.423941046287226,53.98509001927222,50.803617699067026,48.494388303591535,46.028996351768804,45.69915511504456,48.103150617385964,49.87033829925609,53.10807693048948,52.183533364443136,58.17644712978287,56.71819584722766,59.16368533458398,57.80920029654868,58.70814744507778,55.90864992150775,55.037037800418986,52.25419151228101,51.85641146773642,49.373583149253456,48.88460148588716,51.690228338530325,51.97684939301963,52.70788737617957,55.4238883839609,53.560605078729424,56.70554182720812,53.035433349150395,50.51078753930453,45.821880999870466,45.98668641389281,41.72894168178684,43.46012484212904,40.28600436804998,40.27778067357105,42.94851385576081,40.26721607861536,43.2018282716845,39.68084660268067,42.22448089765271,36.89198428558282,37.62091863830288,36.33914785807813,31.79001100225665,32.6894919291809,28.713791612123362,31.44534405841359,29.414128142128266,31.033060006544794,33.17096362646098,33.51334912434003,37.40654018298061,38.175731363952785,43.21805196129946,41.4629527940347,38.62827907052228,35.55692579375824,32.79156610175735,30.28459726858357,27.51392772647625,27.993441410362774,24.295558601962004,28.735418076769246,29.65356467887152,34.578661910779225,32.38138219886583,35.84701697941138,38.12506633302255,39.72133610100347,36.613180859974534,34.00967029257586,30.437251986338342,31.7484689572466,31.884028946290968,35.338390286239495,37.59377098176912,42.4389019429463,42.06768929228964,39.47432605750974,42.81694024882616,41.15683083385573,37.897378916305136,36.769985635124314,35.187411161578396,32.329638116223265,31.88570221659378,31.425353717952465,34.34829283016581,33.39290829910896,36.34215719776435,37.244542870663935,36.542746893401954,36.2255297855314,38.52805960564354,36.85263717172608,37.43308750554604,41.42950364403948,39.332634171728984,43.70828636393113,43.19458048110193,40.36723576992039,41.29771605281606,42.51708160151704,38.7206316780492,36.58802826741953,36.60027436866888,36.55915332733738,40.28325924599673,41.435111492808176,43.02205647230875,43.612642403485395,43.372255734789505,47.75317575495623,47.42951171942977,47.19086675078174,45.36739376084037,40.874845748601885,44.18222228464972,46.31865658632546,44.56249446194592,48.96517125171353,49.22717490091873,52.677495010623645,51.427688737299206,50.88929211429325,50.35156194319122,47.80083157737188,45.07403101278605,41.95981724967077,40.846250103405424,39.211207661400806,34.52814120004059,34.25050612189654,30.090597330225407,29.68903972413659,29.49540215300984,28.83449713838223,26.315848540317056,24.308786152475758,25.380048091392492,22.558518617407444,18.73060177420242,20.2252994498672,21.98873767732328,16.619542195047952,15.011971135600316,16.64282051501185,15.586150859507752,11.200742398319148,11.942452411523513,12.847671155135222,16.58115704002245,17.799969357252284,19.67162746702669,21.723830025590193,26.579716140499677,28.348302457662285,32.05662033684585,34.475338705158705,34.042089676501995,37.30164706746811,36.41991539165865,40.378607095590716,37.924665031072166,33.331473218122355,37.4325674738009,39.76585158081188,35.48321500897879,34.87631983709888,38.814633630268226,37.17750023661651,32.789816802237354,34.9103236341916,30.654665725649558,34.778284617342116,36.482999842917295,34.259933908296134,37.05743814035814,38.19127393350822,37.289551630825194,33.404379330029734,32.987993614810456,34.29399625524629,30.9530485478594,27.825855808667367,28.84868760044912,27.294304320755117,23.54872250218524,26.22497551900633,26.287636642575244,21.980316241431137,21.625146069376193,24.88951335437603,24.23883276132854,28.158449414525702,29.16389961443223,32.0223694878749,28.49216079732384,24.603694740195238,29.35447598069652,28.892289643221098,25.296936319500873,26.405996500634547,31.216006020644294,28.19531659106673,24.344114426676406,28.513403258120317,31.382562755535446,27.875333728711258,25.208001863309192,20.902831282223115,23.337718046170895,19.28230256105407,17.610334386554065,14.142400525198934,15.589715600840655,13.030041261059516,12.178351617110414,15.746795456390618,18.415803802934757,21.062305973538876,22.025846851658752,22.01675773461619,26.156781610705085,24.812379346589818,21.471684403470714,25.70472080306908,25.181211772580955,27.183314729189533,23.169265706400246,20.165192258201262,22.333734332233757,22.65552229021862,17.141076670982326,18.78531624880199,22.589336490796132,25.191481040286718,28.204970981629625,30.441227762227598],[5.1632101337873655,6.531799220129646,11.118720440406456,11.792002548566032,17.277552051593517,16.392528562601125,20.575792221449092,23.244987238228276,23.66137977223454,27.018428466918213,29.53366052495905,30.82531925324201,32.00236464538414,31.219505907134,35.81289668922986,36.981006271159394,36.21318946100554,40.759660820941455,43.38734558175078,45.363378161115435,48.90316873702721,52.17131380308148,53.21951090172083,52.253523089599874,49.1983599362886,45.54566532906636,43.13194959165681,39.38669407735266,40.05472320024532,39.02474569020514,42.69117211491721,40.9379130347034,44.207595568783084,48.371002341300084,46.14788429104442,45.02206951624301,43.11661159780284,44.398240292285735,43.73707983145927,48.69266562316354,46.415709319886545,48.30551544451755,52.33808866426199,51.660153954942245,53.472781120143445,53.92991118908708,57.36919671748788,56.54864996998358,54.233937640101665,58.423351187692624,59.83670119357606,60.029375165046815,60.482606259535736,55.979484150444584,57.11610196453316,61.25980450233543,59.206516954459495,56.3842682135552,60.151349586308996,62.50423750956396,58.37216740292356,59.46758157406939,57.038541410106156,59.11822791005852,56.91508597259985,53.059643382169995,50.68179555941902,47.34511543421191,45.20244066823728,42.569654721888995,42.405639762855444,44.87565277336561,46.432787491418345,49.749379610365324,48.607012616031064,54.54772850773186,53.12790100322311,55.42131450650399,54.13137445761175,55.15255857065419,52.29347115469223,51.608350837255095,48.70892654499694,48.52544266738917,46.17393149113358,45.45112667354407,48.24957044989771,48.302712028446855,49.10704033648698,51.60772420501377,49.797682840737245,52.91973856449477,49.19951528438316,46.57920494797615,41.91843088539768,42.059869642118954,37.84399843136205,39.423964693690436,36.20586580569908,36.095332474076415,38.89914808363385,36.2593119626632,39.33942362912385,35.935603715578665,38.78669293019844,33.511836406361994,34.420788240873186,33.460177967190745,28.903991896634764,29.40322165744582,25.357208192258657,28.059219194679827,25.811518140362118,27.74925213796938,29.761127305822946,30.436654392604314,34.28652019806821,35.43327226674992,40.32992376974798,38.252183896694724,35.53492172836589,32.321749867464554,29.89739548507051,27.201215111795804,24.185848952485994,24.974402407447386,21.029863311565364,25.708393260647945,26.78637178752997,31.656425775885626,29.999258198134793,33.46850170467417,35.8299832899168,36.996641119286785,34.127980782387134,31.322829371605437,28.25520547526479,29.362331531540995,29.545252755152106,32.74905000722517,35.33779713515627,40.10654107172488,39.38276461517341,36.68504654345633,39.87161401605156,37.93169340859894,34.710514521240654,33.289084108832874,31.6235229821304,28.546195054211875,28.027344154902604,27.33713196317285,30.256278575991118,29.205187689618192,32.13310612401911,33.106652719281016,32.49512300340623,32.28894194122347,34.680721285647344,33.23904398622869,34.15717372501896,38.084136910993976,36.395635558390865,40.706107234278896,40.59575789153365,38.15298881726705,39.13979022973874,40.736939877613096,37.038762204732436,34.70755180020551,34.46501368760405,34.09929434580497,37.546351738649925,38.422414738789136,39.761368823384636,40.151228509847016,39.73916609251818,44.13080297493475,44.048582562445446,43.86315094947372,42.355534689483804,37.73530175699877,41.38262909407868,43.72989118569978,41.963400856522924,46.24030402443207,46.385881903930446,50.00564864836931,49.05276744167935,48.582082536308555,48.277221663106864,45.56022821392822,43.06776465478928,39.9552159989335,38.89465584789248,37.507422941117014,32.763799073516836,32.4221362295489,28.374168982341903,27.388157831388256,27.531556093557146,26.32330800300079,23.70745248965276,22.401227875460982,23.359569159938516,19.96220346651119,16.747453397041667,18.630366094271096,19.77684437005452,14.061506161157954,13.299768360375285,15.061353060264505,12.99131812024313,8.907123376032708,11.227182586224087,12.42046726296503,16.276281565358637,18.379239563726525,19.327447143808005,21.391254268957468,26.44856475101308,28.12160237929813,31.87588902851192,33.762652065070235,33.02094867105181,35.995932979168764,34.68102297668369,38.9265092520315,36.89704349455187,32.036169444210024,35.90271474536177,38.73796054883688,34.636273101368914,33.65030631764188,37.59224258904209,36.56125337277929,32.14528553981194,33.67771023716068,29.271695889372545,32.75672436076805,34.53587467200218,32.22616469738653,34.64883662814213,35.76019257655676,34.46685895548484,30.804938659346107,30.520442703906113,31.397277250044816,27.900495072516996,25.1521453361403,26.045367197321205,24.20444809182879,20.689485435942824,23.875332224241646,23.725114396925054,19.148189101129258,19.54947880187521,23.136568132263683,22.68319842301293,26.49240729864867,27.199214038976624,30.478505783283918,27.372763882536493,23.16772699853732,27.960784224135935,28.12083993303994,24.624120042675422,25.40772070812334,30.629513936956464,28.240663041583005,24.135888725250794,28.032404246337094,31.468725068661982,28.429787589284516,25.610366675395042,21.176915440562972,24.46398973629386,20.592449156592203,18.88734386408258,14.788640709481625,15.068281129536226,11.438029700893724,11.823495416158329,15.228332800801631,18.515024742493768,20.52233614445452,20.969489641077807,20.05150488258831,23.964116299749577,22.107605325070136,18.510584636256812,22.423862786132933,21.839384581023005,23.46093661434161,19.58499526058037,16.639077194665777,18.433720129239727,18.680041269038554,13.169162622831921,14.719550781202324,18.42932124926472,20.987774046697606,24.005952628742325,26.26443411693533],[7.5287352284629785,8.3298900308702,12.517080072542331,11.557265667218774,17.45291266428057,16.669479616198103,20.549751546788084,23.61726440433597,23.460517138528665,26.409899324492034,28.897598663093863,30.63905746492226,31.575619932040244,30.292912534324955,35.04943597823477,36.43901772865479,35.41569754866424,39.83627204327402,42.1462180401011,44.415204908534214,47.77158131648555,51.17381838353027,51.991761560730794,50.91700385415772,48.05260530586536,44.30409192568217,42.159018097572044,38.46636433093458,39.3511807498856,38.64073664445541,42.07027108281531,40.77885295124826,44.07638712560342,48.09274404025498,45.9086356251527,44.541164249757564,42.971103303857724,43.91284247712443,43.2432111082749,48.403472486209196,45.76914390658251,47.50179987643026,51.65410106724959,51.038147214349884,52.653057988599755,53.109743725277966,56.53631864533537,55.891421048429265,53.69078610053111,57.93451273119579,59.42545095682311,59.80672109643975,60.24855421755089,55.59306867749927,56.96640723515728,60.98391455116871,58.69377513298676,55.96816643463312,59.81507213639675,61.968555387652806,57.660088339863194,58.72214271428193,56.354688546161434,58.1444496608568,55.96135542574586,52.244137895527004,49.5529824834652,46.34804121910134,43.88216867408057,41.346005561047534,40.942582555400556,43.25143334694433,45.09558759539297,48.41846345580461,47.602621164215016,53.63014187073091,52.37785676297383,54.869928559728905,53.6883701930192,54.752011157235444,52.16100685055913,51.50530352545518,48.90515157589409,48.73655793764235,46.1424900609776,45.36549702399516,47.89908603156355,48.20538536761898,48.61430394134812,51.27710270535392,49.2054118566427,52.208817427879566,48.52636078096969,46.09084554457949,41.38545429193537,41.44641060877309,37.16126283475739,39.229209907806464,36.210848895447015,36.608199517193064,39.212710076717364,37.04262311434529,39.830756208742436,36.785027037492334,39.664665657404875,34.43184803507088,35.72744586539151,34.68721286181236,30.153022652826756,30.630813058950956,26.330225037614206,28.49337330162387,25.930976436506302,27.45966676095212,29.09522734596044,29.47208460585002,33.23719285064949,34.07200477668237,38.901737593737536,37.03488863386415,34.119952176295186,31.0493363187282,28.445530333763237,26.060927992359492,23.403514519489022,24.51036845819369,21.358216836073424,25.98139990951532,27.426874681272306,32.38048818310779,30.73050197052169,34.500045778445525,36.485545416375025,37.765226349547895,34.47223663245467,31.408045701602074,28.286539578358205,28.89656104998751,28.628684597181135,31.92837447513789,34.03019649502136,38.85392683896029,38.21338366119337,35.73244614507109,39.13875298881962,37.33757528284676,34.109913885215555,32.98169460497634,31.68443182462481,28.66230580980165,28.6966790688187,27.96390734057715,31.351147329603137,30.333000818157107,32.89579685928237,33.80959657352121,32.861716389615616,32.93708757167197,34.90683326163299,33.741629133008225,34.271014496296104,37.912669439201885,35.95473634957074,40.40424320006864,40.26910146941711,37.54217293134189,38.91087592438346,40.34195868633802,36.79388666582066,34.23686279313177,34.27829713523585,33.76271952709968,37.48096186643417,38.533256192740325,39.92066399408981,40.575192426028096,39.92815003577124,44.58825415158965,44.28919457415955,44.348985054128136,42.598266430527566,38.300639988231005,41.97502561335621,44.23467196458871,42.221445163964646,46.258943963090026,46.14839089356424,49.753237917726565,48.58545175443344,48.40876142483942,48.165354965636226,45.62419653048095,43.254063566039264,40.279286773700235,39.46693086906233,38.28254750290141,33.465621315194156,33.53369772804353,29.66352637626461,28.800551214897286,29.42404261205727,28.31731535394096,25.361855322822933,24.25852483698616,25.68899050252138,22.182664754021715,18.544484047545232,21.029264360879374,22.571514392625996,16.59731713029177,15.98130293414296,18.145845172471187,16.03425039195492,11.842509714981801,14.347539453415633,15.096303309029302,19.382827271033626,20.66287490213715,21.88189314290199,24.273510326502656,29.201388573898466,31.14502892437414,34.69013986261794,36.66526033373866,35.75299396027868,38.67286228805793,37.189787229920455,41.355277790559974,39.37384243222286,34.277530029023175,38.04745793245332,40.843723801228755,36.61540864912497,35.453463995886736,39.24328104201793,38.16125294289249,33.702306751613776,34.89443396642818,30.846335412590893,34.354301336698256,36.4185399595732,34.440770878080365,36.88530891268296,38.28687585805852,36.73444508629038,33.001152180065326,33.14540639193297,33.93688683270637,30.171952019705277,27.693554403958334,28.824803933923576,26.90493434309747,23.43228900653683,26.902423674899655,26.81168851007671,22.165688804534415,22.755090637253044,26.411816066099927,25.8431616616892,29.55625834873652,30.01844093477539,33.32010332753215,30.36171982814359,25.915555818495413,30.53413932530512,30.76619489817967,27.22707075567747,27.61893300465472,32.94073923360701,30.52763261851796,26.125633456932047,29.827501318467412,33.40353262139428,30.249375064758233,27.18221219677503,22.589169490120895,25.69405598814862,21.495253234159936,20.48636874417001,16.067436463038273,16.875862697936277,13.1713078943021,12.590249613588695,16.008008438733558,19.18027405841454,21.2652530665863,22.335612182023425,21.044077592045554,25.092280365079006,22.81050669558671,19.79547111938108,24.027235589251696,23.869465467121064,25.090024883036378,20.87688850855937,18.612624979426027,20.277401484085157,19.663902759510357,14.532847806816765,16.528882880327473,19.85230770622527,22.070355265989438,24.88441171668257,27.08421457445542],[6.839891964820578,7.853878188009167,12.122526403432307,10.41392106891662,16.426087691670908,14.27355588477218,17.94098589359824,20.730104304497154,20.07413096927787,23.147812105901902,25.36541290455961,27.076437047292274,28.383647621407455,26.975704941239865,31.598436124218207,33.14573140845652,32.42793009845169,36.82468129768869,39.35732824178004,41.719927898113255,45.13934128530738,48.6935870583659,49.56323946693666,48.71375171438461,45.844824850339165,41.94945064186126,39.83856336152628,35.98507471546563,36.56590424640527,35.697438304639824,38.736987739417366,37.55262511350972,40.659554348192614,44.735437994715085,42.77315110299293,41.551054446525995,40.13027999718686,41.362824388223686,40.97216583298875,46.37213169103147,43.84982935916869,45.19477147013598,49.40168731112453,49.05473081422744,50.79452508648092,51.511416505550066,54.855782254323785,54.02261005630582,52.11362613739398,56.43440926381527,57.657208180915596,58.06506126474537,58.317502063953704,53.63024064318377,54.82598962218685,58.77829458943608,56.46110954205966,53.56133700340928,57.325053245267334,59.58324433339229,55.158464846691,55.94737800481894,53.4118399743113,55.24246303570391,53.280476039525325,49.496175503468606,46.659131711783814,43.29917307124329,40.83674849641247,38.06844694058882,37.73205612348327,39.95947207648875,41.719338476908426,45.220714522069656,44.311554939841805,50.31179291526201,49.28938686383707,51.6522962802697,50.67588310558007,51.97535946466609,49.46148860614401,49.1176733477798,46.50880665376579,46.66597631235397,44.15125185042175,43.00497983730412,45.35960860225061,45.441082547725664,45.71274989686308,48.092655568811,45.91899970069193,48.75612446111631,44.992429917623795,42.50849595568095,37.83338688548053,37.708571386814334,33.46266779069602,35.663551111523546,32.710103140490055,33.18062469896586,36.01356115227586,34.1909230741347,37.10222437438656,34.44293771694233,37.78367529284926,32.70779656279697,34.368690392599206,33.740074017594196,29.27698711476977,29.205106860018486,24.791459215310116,26.62764625672699,23.57620322268804,25.350318771719568,26.48557774018864,27.187900057593023,30.78337354023787,31.95786401538153,36.470130251482104,34.25923775356273,31.376313032443832,28.202284663501487,26.05388911237374,23.653382454707604,20.904894010262367,22.746793859066003,19.772521969577436,24.603999195199773,26.406030591539498,31.236090444868037,30.28551062612278,34.10131306757169,36.030879599109156,36.8203278884691,33.6958554032814,30.303476245739304,27.83779807251432,27.935705311240696,27.468600687233366,30.443653947233482,32.65153091645149,37.366527505896016,36.30148637356377,33.841430122367086,37.14421699901267,35.026859716748696,31.877115609351478,30.481893402705396,29.291595309727263,25.94451187111963,26.16097898114335,24.929945497504278,28.4798501957203,27.12716841766066,29.509441282505886,30.64062712674172,29.729604696622747,30.196812990316722,32.08861235615048,31.487180668500827,32.332469857613106,35.67972784548676,34.17786275841751,38.58045036548194,38.97369500474195,36.60585282478848,38.22229978246989,39.999612606701646,36.66853531130074,33.81174745996685,33.689585300635116,32.706780671402946,36.1649003305132,36.92632217862264,37.97882903964203,38.461970317027074,37.432429260417976,42.21750566947636,42.18419102225611,42.43306611087112,41.022508248917326,36.73004598431734,40.82810811063146,43.296842407729734,41.186980530409365,44.92854028142603,44.54020789650386,48.338035919722245,47.440304972252605,47.49152234122666,47.550983460380046,44.90905498411334,42.88168328705825,39.99121033381436,39.33746709823392,38.501471792162285,33.65887617480355,33.78216351294949,30.141448827722407,28.698030863850462,29.774833941575753,28.10757293031202,25.047183260873897,24.787699925903354,26.119441943015843,22.086722757994995,19.200950489756366,22.028182421205734,22.89376403945557,16.85618325605247,17.118795409166026,19.21515769375236,16.22433457134144,12.793154533273832,16.244038945515037,17.249089972722963,21.337478791857393,23.313749639383165,23.876116018498514,26.174819328054074,31.193022820739554,32.958750301706615,36.5709116866043,38.08968757961657,36.9472290640744,39.57740013276489,37.69596017726646,42.09656950799319,40.5348338371416,35.24634301076438,38.734746672052886,41.97491128405465,37.9431920383846,36.424762327790866,40.14852582432245,39.62758907944132,35.18736666188764,35.754033900789075,31.697418515501383,34.50296746878278,36.66919069890571,34.66867373103117,36.66615764152235,38.02793935062479,36.02322107116284,32.617787837569274,32.91663748296682,33.163637485056825,29.27752832298155,27.34394383154802,28.239054767297567,25.980831535624244,22.955802223618708,26.860513308746967,26.43514239680397,21.61567217284779,23.068026945140538,26.89576102310583,26.62466380684399,30.181561545360445,30.388707495931623,34.05069594070275,31.50288921517634,26.905712517000975,31.476383891216305,32.250251845969146,28.853688707362735,28.96507487222273,34.55812030620977,32.67210638747079,28.134905138840768,31.54021959450136,35.53885115427791,32.75714607619017,29.599402135816117,24.975131204078053,28.595306677753943,24.533286274847168,23.5685329661943,18.86095451128481,18.88860205110786,14.52930352231448,14.808383399964136,17.897787706376587,21.404647498857695,22.921188558090762,23.644691828065653,21.40694434143187,25.11938987259742,22.142380452407547,19.127439091398042,22.870017153927073,22.716763356950587,23.219627816127776,19.26467446572685,17.3907655184035,18.255927377221234,17.237240451964613,12.547445389449821,14.17585632081525,17.000027107110178,18.8669377931833,21.592861355716433,23.642574871037414],[11.565604359698945,13.051157684797563,17.23625316022747,14.73687283471761,20.722387350484077,18.22066383213241,21.33396918906702,24.0608278518337,22.464559974332865,25.145705403961806,26.89517416146962,28.975049004069124,30.50637863942208,28.369084434828373,32.92096297636011,34.91629311032277,34.23045223028619,38.3559739171915,40.59701450711455,43.43604203513341,46.60644013104297,50.432934351995776,50.99969743056491,50.14559803217951,47.587834920688536,43.498345626464534,41.82210065271449,37.986010646126104,38.59851621225576,37.97287872322398,40.271007404592744,39.728925381310866,42.57332739169675,46.542743998138114,44.90657732071385,43.59141466343809,42.67907752292842,43.77469268271264,43.569656016515275,49.27900126767254,46.43691258753153,47.34668063504241,51.697983213386685,51.5862453486913,53.12653642502435,53.95227842389301,57.21464931678898,56.525365132107034,54.898534634671734,59.28291718505871,60.47408480562948,61.09917658864685,61.24547388206998,56.406775710697914,57.74471758616905,61.503158417276445,58.920944390004244,56.03445896824143,59.803362928825635,61.894565190949734,57.20490202644412,57.72943041135606,55.13810146692182,56.607568516915634,54.88553902523897,51.26289882850479,47.884350261824046,44.59995504873268,41.67483364733389,38.827836632126036,38.16637915739814,39.93907909139475,42.100922032379785,45.81100577427855,45.312563390043394,51.34243826032464,50.82148660404792,53.26593302213773,52.642193928664,54.196374327986035,52.04748125691076,51.97038803225454,49.65173242116843,50.02821541840283,47.36060228891129,45.95078737681089,47.884283865564484,48.04351519171768,47.776017696398675,50.02187435397687,47.456013587549975,49.90046994293959,46.10399004251165,43.793740326356776,39.179257207576995,38.6382016490062,34.452965567329535,37.36941592546978,34.735892455997366,35.59402169723755,38.61765972654353,37.46551197604142,40.3021915185158,38.19842491207265,41.81482754991913,36.89995381455738,38.899446353124546,38.38827082664356,33.99611569083784,33.7254389255916,29.210910985887768,30.5372715256858,27.048474693236923,28.545877632698886,28.917662843887197,29.447042715060693,32.72513069629319,33.63897974243854,37.749066489739455,35.629651806387244,32.51544675874524,29.552581217312824,27.551321001019843,25.696207874613545,23.46740853569747,26.00745686514339,23.89927458789763,28.634595371898712,30.77598314991637,35.558291085751044,34.78604590088616,38.76561942226352,40.4211336646357,41.17412617035496,37.805649808886066,34.15491390385409,31.821119005442714,31.32969090408882,30.294273532916193,33.20967559590244,34.757447842615626,39.42957731139904,38.30441814789836,36.19457547148006,39.670467253600464,37.56811805759471,34.51535168533481,33.29570292299913,32.55109010637295,29.08702455409335,29.810926464178138,28.10701482290468,31.895687959656286,30.012329744286834,32.09289579510477,33.555337126321305,32.55573313345542,33.58135249185862,35.09840198926165,35.1378468143378,35.84919483255143,38.71530290080101,37.19781291272354,41.6652070625478,42.24350415490219,39.697313073600164,41.76954275855129,43.41095757490562,40.300908470214594,37.20500139404608,37.35520294044292,36.12598691076349,39.72719978930732,40.531383158299505,41.455617480284126,42.05166516243395,40.59470089304256,45.623091979715426,45.59342147319476,46.1416678420932,44.712018786585794,40.72109219104108,44.961588930587055,47.406873295985264,45.08151605792822,48.47614465040521,47.726016542563066,51.54989754329112,50.51658128040537,50.95162491104527,51.14454108086222,48.67272484607087,46.84224306986808,44.109569555661764,43.68293958717937,43.028835196940406,38.16735718645782,38.5583695110405,35.037207920009166,33.63814883205906,34.91000923988207,33.22058857357489,30.077875720309677,29.92688405250283,31.329380440140977,27.260777869154023,24.334929680477234,27.201472336880588,28.01764361280639,22.038424303179116,22.213538622403295,24.142136950701847,21.12486553025788,17.76576327911573,20.814826192970067,21.978817579135693,25.893741023037947,27.841916207737814,28.76031745137046,30.989662861657365,36.037604806417555,37.67843403358662,41.44814921791094,43.0993383516772,42.07436940439799,44.7550693102472,42.90153293896225,47.30299999572626,45.70400580979,40.42349458119669,43.91376142463329,47.107106272782794,43.013241398028015,41.493162915240774,45.15509755860115,44.53032227349435,40.07447902663527,40.564569243330865,36.69934509795011,39.51227474331265,41.77973706008526,39.85098304570761,41.78160538228569,43.115248887755314,40.9978134151885,37.70362502729151,37.99586211378307,38.06408190351562,34.20276676286712,32.42009606422431,33.10771299814057,30.70888979872036,27.90464204574092,31.74850531477365,31.047051059395862,26.183802403241234,27.825002713640753,31.5707358381826,31.51952658552006,35.174229781203756,35.51412424680143,39.184448304714515,36.51967956531211,32.04456857864649,36.66080711374717,37.326424947318635,33.88841391377155,34.0768492441172,39.61782013458692,37.527323885108665,33.007791709948414,36.46424808836102,40.350023118126686,37.35344833506835,34.16803406946085,29.50643168796893,32.73419967741913,28.43257296023246,27.71069612033986,23.13758401302274,23.710522604617083,19.536669290760543,19.197861941321626,22.3740753087308,25.64842073804217,27.387424388159733,28.519734420704037,26.223511737870066,29.96201513663451,26.70517600169045,24.038716186860555,27.69810348837664,27.59009147836152,27.68503880296649,23.886677031967903,22.28860422724503,22.64461602281077,21.34297780413281,17.17497448817353,18.209889933295422,20.539700399147033,21.912704236343856,24.46412790610771,26.060889426573482],[15.037773212363525,16.271411022965154,20.04879090512124,16.761749724576603,22.487482537901716,19.718793057148815,22.23217204592972,24.947345346296064,22.644775634966763,24.83698735674815,26.253196918367035,28.678508225074822,30.185210327819533,27.50578718840861,31.969549629204824,34.2606351987919,33.54005011828937,37.40492398389334,39.39512338837304,42.55956597485237,45.52023088503984,49.525216671062225,49.872634800568136,49.04611987465376,46.72640610813082,42.51636908371369,41.1767557450942,37.38562133499213,38.019801051722524,37.62666715281736,39.372880006191586,39.3723195724663,42.051109560891945,45.85357525976021,44.43159157112398,43.00115271204112,42.515268824527205,43.44216883060358,43.38904806109174,49.3191728769767,46.24977676379085,46.78121651205515,51.21714014838088,51.311193233423076,52.706456306008995,53.653605627571416,56.822747365385666,56.21423376915809,54.8599561236073,59.28236546225476,60.4013737619541,61.2049842823398,61.24514824878988,56.30332454745123,57.74740763055251,61.32011186645987,58.530334442031744,55.669598444204915,59.427405678314116,61.36915597079422,56.49016654035455,56.814829574823165,54.20876864243263,55.389918308080034,53.846882642063136,50.369224031864476,46.61343892462148,43.419944185462775,40.18142379184656,37.329664839533784,36.43800600388344,37.89898791221091,40.32443815576764,44.12533507276908,43.94013069673072,49.96171705426734,49.78345776015678,52.311687777239975,51.93575221711828,53.65624397610184,51.828229711557995,51.95199645976202,49.92129033007385,50.472319869404664,47.67711395592218,46.051820116797465,47.61530018894184,47.875526091128634,47.15872192580959,49.34765803370374,46.491825083950424,48.658810217853876,44.89397075995349,42.77524339971346,38.22994663017719,37.45788426617882,33.33543863293486,36.78992019710597,34.46462520220612,35.784336008149154,38.72454356086445,38.18555204882519,40.79903111445736,39.21994993120832,43.005401684279825,38.28627248944716,40.6659172346075,40.27052531928827,36.001976099039865,35.516638997580905,30.91551705657669,31.681401753285805,27.857150571221446,29.06589836801102,28.794704505841963,29.190272127203716,32.15530303251279,32.90423480376281,36.629714661614926,34.58018054174426,31.34583958338915,28.585203428690797,26.766606117246546,25.354522026152782,23.583377104988003,26.664682415755436,25.36907102209743,29.935297003174718,32.40634509092822,37.07527463922355,36.58902449098524,40.7135482372537,42.06152312310418,42.693128342504515,39.14303031288799,35.248282012773,33.201106137917236,32.125296187934815,30.639046544443172,33.38393814149767,34.45619547386531,39.00597096092756,37.76531595702221,35.94271408445423,39.49210932281286,37.40198420055396,34.470407908734124,33.415408773705934,33.07653630864754,29.612581098323957,30.841886693190744,28.90262560037659,32.981119687413695,30.968487480118753,32.606150029205864,34.128867845942615,32.91886819543225,34.36411685891453,35.45399198164866,36.01355403693842,36.547722859873836,38.95192089221959,37.463219640448926,41.92978188092382,42.72699418453998,40.14801294566611,42.61242391115723,44.23023982633946,41.38840355884937,38.053853135958576,38.36603397067334,36.84567135213886,40.47388312464983,41.27448774466605,42.06206188327649,42.7786495051911,40.962134564714134,46.18441758082673,46.11197072971563,46.94302139815477,45.499740065785865,41.835556485870775,46.207673255060634,48.63910700991154,46.114704073929715,49.13398622809847,48.04621839438507,51.89320071557973,50.810795721047754,51.59721771094464,51.97068320752185,49.6321143888823,48.0656966257088,45.511703142982185,45.335410037195786,44.96034087477224,40.11064943826548,40.78454706637222,37.49761926790864,36.01308600331893,37.68164092532325,35.901213376255015,32.5929342125648,32.79476967765891,34.391906608762554,30.185090716012134,27.30246789335044,30.478074310662176,31.302138833085646,25.27846603533634,25.67857847712784,27.735170536810337,24.5592524004531,21.330671354130025,24.571947494017458,25.624217562076975,29.664073051086596,31.419545621172023,32.315159691295236,34.66283793837948,39.67228787183057,41.392402709052966,45.08176120284416,46.659369140824126,45.489212884298006,48.05209162146943,45.99634295090561,50.40725576421437,48.965773556052845,43.52213768655007,46.855620494550784,50.14577063733739,46.05540692219101,44.33839950890375,47.86253931952274,47.38144755498126,42.936217070969796,43.02908752765199,39.41862725401057,41.99724924681881,44.4468051031168,42.71739874837973,44.500688631137166,45.972540030402214,43.571996814349696,40.38490343109451,40.955091681518496,40.79575896706882,36.79900166982099,35.354922683583446,36.076086564955034,33.56240511577465,30.95848777382121,35.00562870583937,34.23506082320458,29.356135770135797,31.27938953945063,35.072737688919176,35.05182378154115,38.61188275628314,38.76684199326349,42.53258776730189,40.05525782857623,35.445199729431344,39.944332553723804,40.78529666595728,37.37017999287375,37.2979678869988,42.93569150516556,40.972498439247516,36.28862830825789,39.5482238074947,43.5992517183551,40.64639027556534,37.32663433480733,32.61713012426374,35.83682231810828,31.448409609802376,31.077956095071762,26.359635563334013,26.987581481759307,22.731920373051345,22.19205365994698,25.20051632521492,28.40826904652662,30.00648900964321,31.359472751346278,28.661314873842592,32.282403580150806,28.63656953374565,26.410216765581858,29.97310388232052,30.101597332240807,29.715546479847625,25.963082090647,24.9157334827777,24.92697015900494,23.05224807568374,19.561705999444765,20.588640764308703,22.343836050484068,23.224439597749708,25.43617605146497,26.767859081229954],[18.138250506129985,19.28916701791501,22.764806953666067,19.08177618818034,24.420578548117263,21.15729751383705,23.067310294999594,25.520438942790047,22.562982267549017,24.364947526112193,25.307414227863518,27.909132951378457,29.580334880813567,26.47432019618256,30.68442559665979,33.256713599034576,32.69090669757601,36.27671511433105,38.15994247510081,41.58355778079993,44.38471651305845,48.5607114124241,48.76618481577073,48.07413818841333,45.95150301916729,41.62716370634495,40.571420362815026,36.791588700792275,37.282460753327676,36.9855395871145,38.08013048399975,38.54254459669165,40.95309440620096,44.626645294867785,43.50059365769575,42.08170093339708,41.98476817362014,42.925268694704954,43.11234290553132,49.23877700134218,46.095102727525116,46.17555463138549,50.65558905738641,51.017008347376944,52.35344724372473,53.4908529543551,56.53529729868624,55.905748745965155,54.87734794401465,59.32622730415891,60.2735745390892,61.20471858164744,61.089047405766344,56.09764072143641,57.52073254763224,60.912772068745724,57.98601410118532,55.08034899355789,58.7635338313431,60.63898168682084,55.60172540480392,55.64502854122313,52.96037569748894,53.940099723884444,52.65308566155729,49.27636266104908,45.19313531427188,42.01953712739301,38.568915420087116,35.616984847632104,34.581317864147266,35.70895527046446,38.28845016721091,42.233376803846866,42.250000936859195,48.200663023759446,48.411715012414824,50.91231650685406,50.83102916091265,52.778398958507616,51.22906027552966,51.6415405103327,49.81883468994807,50.63143127590642,47.8169085890353,45.89547272326905,47.10101240694059,47.317516256018095,46.219831667954104,48.195628541558506,45.09557808966685,46.93724990367485,43.17999934713603,41.19953969101085,36.781667497752345,35.71628927374931,31.732071291644925,35.63373394715556,33.61604984340133,35.26763979528866,38.2421709323899,38.301659927167854,40.795122281970116,39.76159296722544,43.80317280432617,39.34023783464197,42.052132811545974,41.89132084446239,37.77943812987125,36.97264890344761,32.376342398803565,32.66311704085881,28.524502013624993,29.61283065003321,28.672689024365337,29.11085898983799,31.693319792379704,32.460782692526934,35.67499296456149,33.542355572642286,30.287994091272015,27.699264680210252,26.302810336208214,25.27058399497066,23.86378719619581,27.516997597007368,26.83829580174165,31.24740204761539,33.98757191432884,38.460115761357386,38.40269092459013,42.57059251867897,43.70954454816968,44.07804008231862,40.531232852152215,36.4264814687501,34.826627147786354,33.23312935146801,31.41284778238789,33.85456296391365,34.61994865632405,38.96187548753549,37.47304269648832,35.89668675562136,39.395241357458424,37.20353448935675,34.446481445899984,33.40562860433705,33.40038828850081,29.8713256655758,31.47871579193332,29.193080124507222,33.41550678706763,31.165012433849075,32.38791862257905,34.056672713991404,32.76393537097082,34.65735124095847,35.40726451565415,36.56492277645975,37.116293820377905,39.043094260421256,37.79891333743493,42.17779995641012,43.33147843442103,40.90848499227122,43.68740106803131,45.40338604994262,42.83781733698779,39.29084827986933,39.63798165751282,37.78202446675023,41.269606991656076,41.937110894612985,42.482142146399475,43.189561707703085,40.98707023340816,46.32533051371688,46.35059293582529,47.43759664985739,46.150204852091136,42.737566687440555,47.31067810870773,49.79299072215949,47.133861111918705,49.76628164863843,48.35253968729677,52.25968719735838,51.266233709870214,52.367226806157284,52.97265128473255,50.69759904262145,49.43853357222884,47.04649268593475,47.0759344165435,46.98664731902905,42.18044748523339,43.018959331290155,39.96175179903225,38.258541705711494,40.25475787076944,38.26109208101175,34.88604869177438,35.52164206635464,37.155686977837085,32.77718352332467,30.183052266973146,33.54205237160159,34.15390055541163,28.191341324185363,28.89883200686324,30.954337764352378,27.52435346153602,24.595693101158087,28.072302303915436,29.149010036780364,33.1605589872933,35.03133118342337,35.74749037766117,38.10299781818229,43.11384770173167,44.798665879520286,48.47770941294499,49.87479876529123,48.57565299206992,50.979136014729285,48.70584044977542,53.18217198291272,51.9636542059957,46.40716157888814,49.55426419641491,53.02707180213331,49.0203432087836,47.10113020359082,50.51639338614457,50.29405585839802,45.87950729818919,45.57343613119272,42.11408312291986,44.319788114623044,46.8758064604755,45.24748534270976,46.78226425096465,48.28793635339201,45.60048359584744,42.627552532345135,43.37212262777118,42.89791309358081,38.849922858447144,37.782939069627346,38.40992138822832,35.752956098451705,33.45272333985323,37.66647770516496,36.74140853610215,31.87513664212058,34.17257403709743,37.99273893960636,38.09495038377792,41.54445281376337,41.543934936169634,45.446885035557635,43.19190870351275,38.51289278367867,42.92145614356988,44.00264598614056,40.65334784233433,40.3912060796352,46.129060319064905,44.38406836308026,39.604912806735776,42.68004013246702,46.918835996160944,44.09866940596,40.70104667442741,35.97597524789191,39.3213605773283,34.939515748609374,34.71869542421073,29.88151160098453,30.34385270222483,25.944548300048677,25.52509323172212,28.36346184902522,31.597966228501186,32.97184891640862,34.31657700182426,31.195487813431637,34.59598571770417,30.590506136121846,28.646340286573377,31.90336497639798,32.14130387733843,31.243746025311758,27.737144487598844,27.126967408972178,26.66373100789401,24.4179234157451,21.63473883406953,22.412296175841355,23.554535818524343,23.923251607355258,25.78780265428945,26.77355751097093],[21.760176645646588,22.508182878967784,25.499963115543228,21.18610272745536,26.10948770548662,23.17163594995442,24.4848746622591,27.10336667911292,23.717883617583322,24.746650382949902,25.50098690803609,28.5510169094752,29.782948711387288,26.145471555222866,30.283733206026206,33.055607586538756,32.19746860856738,35.41596852860067,36.80097280033911,40.540099853332755,43.01113552592211,47.28834030348552,47.18815538705796,46.41334241865121,44.60254885203939,40.24520791417158,39.605451245016305,36.0193752492141,36.72765185927238,36.856115560473135,37.53884871852119,38.628978483719635,40.987314783293705,44.33972038850357,43.30410746055661,41.61814327545033,41.97841785255523,42.479657771972505,42.69087829694112,48.92295696449103,45.44769270926327,45.25379139372226,49.77997901407272,50.25470295345793,51.3349029293008,52.49493179912624,55.44272735997977,55.00873567756929,54.19256743467444,58.628492440081594,59.60897932128846,60.75518363594321,60.6038647502859,55.51779835406715,57.17695617309365,60.345356106852726,57.17509168485811,54.42529232224512,58.12940377298047,59.73381308657732,54.54671481750113,54.51351332656387,51.94487475382276,52.52288279490378,51.316342569155765,48.18772281887106,43.75483931500319,40.83436731334488,37.02059278103202,34.282372833288306,32.91844358815692,33.724059548238195,36.66645266470337,40.53319456914572,41.01653698897273,46.939229708491105,47.393770876336546,50.09857656503388,50.17421196294861,52.15195015314944,50.98489984652342,51.4500167667439,50.03647593286229,50.873015263497756,47.85367665882515,45.880663460306366,46.701313360425395,47.21256485741449,45.62175214942223,47.743214417829364,44.365252403190496,45.988901525361925,42.38428926080138,40.7298454090911,36.41062439254771,35.274639673487535,31.37543920380066,35.80047180915818,34.16000130711834,36.41253914881459,38.96538070074414,39.589697512199535,41.63031134183419,41.053241805070996,45.00216069497437,40.736412678764395,43.7674712940643,43.549701142211724,39.59425146956433,38.776370250980364,34.137146814147435,33.85113152379679,29.601684339383784,30.167210117330004,28.718454065963428,28.79086358831936,31.02084616561526,31.38656421431438,34.234362118431704,32.42737786455119,29.05700745259518,26.848123769999912,25.44852434002179,25.00829419898141,24.255027132865518,28.111676267400508,28.360209011143244,32.40985587229513,35.388442701826456,39.73024375100022,39.7548357879237,44.06620756500558,44.805951825102326,45.21901532279856,41.384962548085376,37.1434150232792,35.680299748838436,33.56540002726968,31.298051151160262,33.60863131271413,33.72991839083862,37.89691002421695,36.468396018822176,35.2650234389642,38.8621780664042,36.88387280653175,34.274205533629456,33.6190617586167,34.07820344405336,30.808863103251323,32.956278591563844,30.78307377798581,35.29918633932094,33.29700726419932,34.011315630442134,35.46812673027918,33.81599840810277,35.94034715161206,36.14593476129537,37.59936145100435,37.71501813826394,39.183399687673365,37.743083276792134,42.09839871183525,43.273839797812215,40.69099272711855,43.84035718425339,45.38942108156237,43.118367736070674,39.413609378047184,40.012921558361356,37.98752320839074,41.579645835763365,42.37570758522754,42.915299513715816,43.88633893399808,41.45879142310972,46.94966072219209,46.737249548205,48.09158984401349,46.60104762663921,43.64998310501032,48.15693570511981,50.507210296712366,47.64353187177341,49.89827660314349,48.1860312865581,52.00402087500901,50.83680858611635,52.28522169793581,52.999583111435406,50.952030735890766,49.91322775555015,47.74089513377683,48.04040976956778,48.199191086238386,43.456600842430014,44.64535484171018,41.85048508726541,40.248764844969486,42.62342095406053,40.737510899552106,37.17418638314846,37.98569448837681,39.94182767459558,35.574318883590635,32.776964642083755,36.46060227723056,37.36074866630886,31.318357102270983,32.08200736805489,34.400113565164865,31.0351840604555,27.99786351027613,31.576113971125167,32.37334608688251,36.67847955019955,38.02337699522063,38.81865987094513,41.40844348658311,46.30622557473378,48.23462981660112,51.69470338130652,53.113402297354945,51.62853523417088,53.94191115054143,51.50038913315886,55.87831608447998,54.753107254935856,49.01673331622969,52.01672044967592,55.46284921065289,51.41186474929052,49.3239979674236,52.54646544876451,52.36249866523118,47.98409437109346,47.30769674464967,44.22451065153831,46.33459583472679,49.10515281432101,47.799117412585794,49.31845922850156,51.08997401572277,48.187833546295245,45.191393068749996,46.329285169232,45.80916072400944,41.57617167178191,40.74861481849916,41.620322955930924,38.97832252816974,36.692796344296795,41.08249775728501,40.2979328137952,35.4548701505989,37.77192279152837,41.648384406092326,41.59360990573019,44.9318505403619,44.69297286271076,48.592160151726354,46.50979112207156,41.63290598260928,45.85208154317235,47.030205454805255,43.68278725150702,43.08720745824742,48.87069132319746,47.20050434562356,42.225345779236434,45.06260259208514,49.42280881515102,46.61840152908465,43.067838146053,38.3258675118358,41.574841104476256,37.12303295427627,37.36294821898859,32.40629624850739,33.0378212557545,28.70511950047701,27.909152449999837,30.536134587497962,33.587279638954676,34.85320104156447,36.53073223831165,33.172414147614006,36.4916626712677,32.27058871748132,30.90744500575909,34.25589351633942,34.852658801988674,33.686065511038876,30.0503848527401,30.00575468320033,29.56789363147279,26.732279318815763,24.500281747840027,25.667562273730077,26.465651208103118,26.51649862736334,27.985046292553204,28.868245006026655],[22.3772819337694,23.0399253382737,25.67701681296512,21.409219756161313,25.765873390743,21.961937023294194,22.69582520912768,24.716394239517044,20.844890122090074,21.755961201228658,21.95987720382079,24.885646989989024,26.549830336556962,22.838013295248096,26.577288477600263,29.505176844218976,29.119266578256347,32.211007829243044,33.93342246582087,37.660913016124,40.222580895766555,44.595268580940356,44.64060742184593,44.200952895403496,42.33768338758013,37.8968597868308,37.23806845502053,33.52403367289822,33.775162905155156,33.66377183094127,33.80726677799192,35.00253016113931,37.052630563956015,40.42978354763558,39.69051231831339,38.25077992335508,38.75674646288931,39.65471374388776,40.206364026748695,46.55186782404926,43.364088341693595,42.74843744994456,47.238445953532704,48.01072164976388,49.28613398272011,50.73861593374405,53.56136987249625,52.85020745038764,52.34680261753491,56.79757035313773,57.43521011294615,58.542461782437734,58.17931292565318,53.161391825635654,54.52603000759595,57.620511221439195,54.52111214395379,51.56545734740536,55.11211156128671,56.884512483328216,51.658667281445304,51.30704876352624,48.5376242423961,49.24522355847657,48.315867872335374,45.095187533732094,40.61284532151536,37.48873308174676,33.80557941579485,30.748597597853074,29.54683781416431,30.25850721316773,32.979771589562034,37.06900770016204,37.33994237907564,43.159223281172984,43.86406439187723,46.33812381648409,46.643489253772586,48.87617813242501,47.761614428436104,48.58108591178381,47.12902096934462,48.316386656078386,45.493356999182055,43.143076045893906,43.780373961140015,43.967871744039805,42.29849648270627,44.00918013781951,40.58395601791203,41.997660771758326,38.31256120346641,36.595297326081074,32.392003267572086,31.00928922654664,27.24895349137518,31.794230924124875,30.32579468523979,32.658312132432165,35.375311921059236,36.42295711519165,38.522773713982396,38.404186729900246,42.71017909438373,38.75820378602984,42.01955603359798,42.21274080134233,38.466078540192974,37.16692373552505,32.674534604932475,32.07787518679422,27.57023507555909,28.36427256729024,26.364244378685672,26.873723907762677,28.762861301426515,29.627971778345376,31.96813002853348,29.68088612660121,26.49974441917901,24.22623182194806,23.61661842428066,23.194642146702794,22.441967781633377,26.867722162964014,27.286811270954132,31.23770798304354,34.36893711138728,38.393107845827984,39.08323908244408,43.25677764543362,43.99337668547547,43.895301942654854,40.41508042050765,36.03774772666615,35.28585641823679,32.863171362937045,30.59318379097059,32.414598211217246,32.795201337829354,36.68968518357074,34.75173487919185,33.55426509824271,36.86218148876701,34.528461389515655,32.11475790339267,31.131870663780965,31.695738121506082,28.235566960675225,30.50880777888517,27.898729220756742,32.36838349253669,30.12995719949241,30.4845293432174,32.11218783659218,30.547288280736762,33.067727256285345,33.142342408130304,35.1991971578854,35.687108900321775,36.7899155872422,35.97636372457833,40.11861040150799,41.864231900022915,39.81787516877918,43.03708988518809,44.96600488879736,42.90722061948032,39.06266843534376,39.39565220613593,36.98841177272139,40.13033968247428,40.55396289728272,40.69897231004587,41.417425746643055,38.64476143912869,44.10601368798123,44.22561900890263,45.722213410066686,44.67777066771468,41.76126448791638,46.58525290524128,49.11744188932535,46.26849709573619,48.220343860689965,46.299784717383794,50.27078493602178,49.48765766764664,51.066159772482166,52.07156733919987,49.897272880705444,49.19212186670904,47.10488359949788,47.48869668265866,47.924122678460336,43.27147467481566,44.394404443858036,41.831970528751555,39.76534239363613,42.391789313744724,40.093610302313465,36.60770313750462,38.04026634126167,39.81926490060229,35.23004795128801,33.12516867241176,36.86643087702717,37.24764922492622,31.449166246120658,32.72475100272933,34.926719088521224,31.17488228518308,28.734895815323085,32.718736687576744,33.63749250647133,37.755918977618116,39.591377073334996,39.87029511582464,42.34648143138114,47.253614576239634,49.03341893500487,52.49299878374837,53.50197513596615,51.84227770940655,53.874866266216934,51.141564293950616,55.656438231481296,54.9106325011435,49.1197063019344,51.83842313448441,55.6308091509097,51.82234408882853,49.486308075735614,52.63161063963844,52.956892697905275,48.65268455258034,47.521885991293274,44.41523326892438,45.87253113393741,48.632207015438645,47.30122509454074,48.394880174805074,50.07899573328037,46.85969788064654,44.24181949751095,45.47273887194718,44.50742392453383,40.31740370320258,39.98132653889022,40.64831066998624,37.85104078835577,36.02648744643119,40.580682673132316,39.59990881126189,34.85782177369897,37.68643891683636,41.56918573252894,41.70401259780368,44.82298617854442,44.373675872285965,48.47115750660795,46.767367861026614,41.874584751978766,45.96543472818832,47.55680188708059,44.37743934749622,43.607087265099274,49.51121944356686,48.300706505400164,43.307078055829514,45.90852772244608,50.55391793050721,48.10388158026961,44.54633748669352,39.84058640918201,43.53561237152525,39.27051592635872,39.36338937945492,34.25042151025801,34.27395668831173,29.66594113231491,29.524377611299034,31.92610543020997,35.20420005343384,36.03268521168694,37.284608359044476,33.388224682590376,36.28942183484939,31.733132022202668,30.424043613315142,33.137706484188975,33.71351576773706,31.96782539346621,28.84415369067053,29.180784727053556,28.114304021388403,25.081647986301206,23.696658715474385,24.446278042807176,24.522565476178794,24.036463711565712,25.117933292814072,25.66359492978796],[26.433631048872456,27.352094196899625,30.333057249128295,26.005638406340395,30.649325833606962,27.331581686953477,28.193274189314426,30.404693137019834,26.535331032341947,27.18347330081602,27.295927896369786,30.356750301749763,31.850781454590575,27.85398528038837,31.448665954540637,34.51113504764667,33.922715263367024,36.67228220117463,37.85918700837234,41.88200492911632,44.07137360552458,48.51375709880296,48.19706050099041,47.59695302753042,46.10700654234057,41.68322502234676,41.44917700586026,37.969333533577924,38.47400473439903,38.69718246040306,38.476699995990806,40.13372117309172,42.04875588314543,45.19237735187795,44.60475809101048,42.99891833516102,43.83822978173887,44.38295504838294,44.889819437953264,51.25883973753305,47.740803377456594,46.993776106659226,51.50952161939567,52.3078542870033,53.28261949392969,54.643420043138356,57.40380000817091,56.97419856317566,56.55640861286493,60.97430961352604,61.75482296621496,63.049225511220065,62.71426931588958,57.6191400249598,59.232816735956405,62.14708043286202,58.83531480932968,56.06065908504257,59.62272435266205,61.12407863508842,55.782863929972706,55.36222046048596,52.712084748733105,52.98625824400704,52.16644132394764,49.23116466460435,44.39660650501533,41.56901378938586,37.514664203527715,34.7030433295657,33.13918099988817,33.34808253800176,36.49398204093242,40.504389818664656,41.30471213680194,47.00594055284183,48.04633509493484,50.654888083233054,51.15629174357963,53.426757619696325,52.629327336621216,53.46344724068151,52.29508388395369,53.44193161461191,50.45269970415029,48.15491267786076,48.53311652358232,48.95419412600522,46.90958781284618,48.67293299410276,45.01392587686545,46.113111063133026,42.57285035279961,41.13386772798543,37.113994726270064,35.538958682798345,31.989106624085892,36.87777992064943,35.664296403245324,38.15674384317922,40.81952080568262,42.08317796909959,44.04419235542748,44.04633786844635,48.25087414684036,44.28636731215654,47.55424446007701,47.58341035046048,43.784660635839245,42.67503555388161,38.12148554021674,37.48410430203456,33.03540293433025,33.52878804878855,31.441245406056886,31.56971495076831,33.278999063680764,33.62487117793666,35.727609083946746,33.894465714672044,30.608145713788854,28.736035079230057,27.911291164328635,27.932974749056857,27.569166497129487,31.827176952346118,32.51160748927884,36.39023973769352,39.52761070633644,43.6469552177064,44.04299573085366,48.33428469984538,48.92142113316287,49.08580687301832,45.32106065181167,40.955052726484155,39.89161954322767,37.382453360664634,34.85228071458476,36.818900973381695,36.568183903624714,40.40204883220772,38.747777010864176,37.879525149467334,41.34526116046858,39.29426492186846,36.94793831262027,36.3038788895062,37.08112564338213,33.78476788013842,36.181038439676236,33.63324458438421,38.094237930677146,35.730014577379094,36.07569121632891,37.77181881230943,36.16536015248093,38.73979423497996,38.64425599350574,40.72367959862731,40.91877317910599,41.86279546389128,40.73158050087531,44.91091808998619,46.445352814925606,44.0412174415296,47.460670154850376,49.060521356101724,47.07138709018247,43.227657255101924,43.86639855061176,41.56888350755208,44.97010570430994,45.61262176782966,45.879937866526454,46.793833484362096,43.978731486476825,49.49788590877471,49.43917567816572,51.04223829069875,49.764458530653464,47.07679783603137,51.74483360381189,54.131489457814226,51.17245950395354,53.01517866927443,50.97313769368841,54.807107764835585,53.73413795867833,55.51051649151674,56.44854294106202,54.49234362319126,53.751051332251194,51.74217010909731,52.21181591822422,52.595248996898114,47.917076527840955,49.20215544722762,46.56677800005552,44.797720545686296,47.33476780474735,45.265312113239126,41.72399389410797,42.809217764485645,44.695313288706075,40.22180704814526,37.6946657108367,41.381852787610626,42.03008214098791,36.09111937936574,37.00434993889503,39.19492213132931,35.65286744617959,32.849524984153625,36.45423111722432,37.3958522180813,41.54664761652501,43.13507432983618,43.86666010053355,46.368858495205785,51.31260258657013,53.107701325283905,56.67017264113757,57.980304162987274,56.4868817080635,58.715200718450625,56.16748042205243,60.61406060681611,59.629038287624866,53.872701177173354,56.763092213675826,60.337269219660215,56.35669687665628,54.16919908752505,57.330157800279714,57.30945953236849,52.95792426652375,52.06376506819422,49.06052595392587,50.900456556349255,53.70143500690995,52.40698341590657,53.709684996729386,55.4136612086915,52.32958011072893,49.562157141235566,50.70787529879141,49.91107477031117,45.73810458852735,45.1657743345388,45.83307602288324,43.0671770029819,41.068752149407345,45.47814239845909,44.47302484681329,39.65850647337318,42.25520584585418,46.098391330593934,46.23485520542717,49.54684116105068,49.30317308087629,53.298102453684926,51.2998492565404,46.47285812806618,50.68997230790932,51.98497554577527,48.67557963404146,48.069808356755075,53.88864981244036,52.30401611514307,47.33221391488453,50.11579520791052,54.53748423970605,51.774196633864634,48.21449689369861,43.47498608000149,46.72699743978763,42.265533111291106,42.51778330867033,37.575487454744646,38.15831172996286,33.76673562785041,33.06631951189589,35.655520190214354,38.70165002550779,39.890180839020935,41.54009983388229,37.98638731079131,41.138142494105615,36.72396154410919,35.48341884923778,38.51398296719926,39.079596044490266,37.542783243942814,34.24572868182559,34.375555742282295,33.51063551949953,30.627009063673118,28.855632163838663,29.592337307708156,29.951348970897875,29.594415657180598,30.77007789771338,31.193944936242488],[22.674866101841463,24.085548209045168,27.66496194833857,23.985109019897564,29.1956395253197,25.704468500507083,27.298206789337222,29.459023655279697,26.070436814066944,27.580427937070457,27.995443933286893,30.62980264311811,32.56604921779681,29.097715334835602,32.915106570198,35.76991140237329,35.405040225348934,38.62787719292135,40.313538115741615,44.026168011877125,46.58446522063886,50.924844985622805,50.91442582457037,50.32101986041071,48.48402454152594,44.07887724177158,43.38447414460825,39.68294202223256,40.05483881372875,39.8573641570133,40.19937631454352,41.146563640343274,43.186900652175716,46.71777370805366,45.97323978136488,44.60820387381007,44.91448413989935,45.871842433811146,46.280808447386896,52.551341388233794,49.30928451684405,48.96017288804296,53.46377833198358,54.07305825899211,55.29134755749845,56.56434417751321,59.4773323792814,58.89726248528248,58.166742048304265,62.61649990812407,63.444563559713,64.51368986386052,64.26465905682802,59.23435658962227,60.662347525309045,63.85646904674975,60.78414274621888,57.86696199933418,61.45920894809273,63.23347794497673,58.041519404236816,57.77361447782736,55.01977230779155,55.72166765569127,54.74455667513656,51.532566148380994,47.06612539209478,43.972711408607175,40.26112441756677,37.2425418235172,36.00080126271645,36.609191578062706,39.41978623921419,43.511207503657296,43.83027237224652,49.6278112199369,50.351869369721115,52.79041161042989,53.07516814707466,55.27484381907854,54.03243204092159,54.73976530595464,53.11523853392737,54.1676157137494,51.34784460659719,49.17469529252437,50.02199682341734,50.182459191987185,48.69250450389313,50.38190752315667,47.019759681740794,48.41185463193763,44.683036651961174,42.86833667124825,38.677681302932065,37.2009536911621,33.48660352565091,37.82240825697517,36.141473255123145,37.955408959259074,41.11108640546351,41.67991736901891,44.15858922169632,43.56858676381489,47.831400015941945,43.56609046209739,46.44503313763829,46.44947680458806,42.421624622890505,41.42376089991927,36.869333007364254,36.91118308524229,32.59655619727873,33.603191123346434,32.14652017462828,32.571678954440564,34.76659535847089,35.43540459773898,38.10099182159502,35.9940178408447,32.7401274956929,30.425420527437144,29.400753696331098,28.78651999016839,27.732953585817246,31.716413437718256,31.40416437010038,35.70825963319734,38.5740725174721,42.92515036896023,43.07725044017777,47.25880361461627,48.28479421460545,48.524129554249264,44.971581305587364,40.76161704211889,39.37010114518725,37.471483880648194,35.38785429539537,37.63817547489352,38.008491101471584,42.14707838041847,40.538777692866034,39.25196736730359,42.715267613500416,40.49351663571191,37.917370504895565,36.919694642679026,37.17965527117085,33.60435946460477,35.410641887906166,32.78040617244716,36.946845209970746,34.281971775755636,35.26986405997559,37.21756889194398,35.996272829559956,38.27441914741133,38.8068894395069,40.46468160207544,41.06111257381348,42.59150160506701,41.52244281501378,45.811595123460044,47.19621251287925,44.81207934290321,47.83630106630592,49.52427138564021,47.150285521771224,43.491660469141095,43.93465872069004,41.90029987243332,45.32213363310524,45.915787152300524,46.27858501584429,46.960939649242526,44.445404708526915,49.835108822599324,49.97426871705169,51.25897948563809,50.10167665246895,46.884595650681106,51.574890985521414,54.07315032714841,51.322860167008585,53.66109315679332,51.98637411118586,55.90118786440472,54.92057341801138,56.290011743581616,57.035987606399985,54.85501213352083,53.78455922380812,51.50743284136095,51.663058642905305,51.7033925609316,46.920775191057054,47.844248313007945,44.85714037668465,43.09307566371013,45.14790439929336,43.05665172152331,39.70775042992384,40.44494308950356,42.008481923032996,37.58277236072681,35.11708132990146,38.41297351609647,38.85119495884139,32.97097730995726,33.679764241031116,35.570959002730866,32.06645918542475,29.263812727059957,32.587659303074126,33.8291918441954,37.6497516701877,39.71307548060737,40.52072415968125,42.76393641206856,47.826593492175036,49.35216673380696,53.183995554816846,54.5890645743804,53.37569530146811,55.78487065679085,53.515444956105945,58.04023894417195,56.844444268276,51.32007648264824,54.45346800511041,57.9632182678646,53.9672391623572,52.04167128083372,55.44217780335255,55.23312327079076,50.818925005217096,50.46550649351253,47.05087442490439,49.16900127762924,51.73370119669705,50.07624829585425,51.49612706051599,52.90320224123658,50.142301911862916,47.32272693998013,47.9806599118493,47.329488288058094,43.371240523480395,42.41590046447226,42.822626385314486,40.0687968959855,37.971845498358135,42.114785912845285,40.96400342918267,36.11468453395546,38.57140460765806,42.321670604413065,42.62128375696997,46.12036907488353,46.22504379375041,50.16825365214092,47.86171553088292,43.29527320746818,47.76295662647264,48.82479191358937,45.47274951680185,45.309059439230936,51.02954835829119,49.218713650968965,44.49131044156794,47.613627635025935,51.80297518762131,48.90857291820423,45.531510308511876,40.8064001272928,44.00536641831117,39.55970860382567,39.347160379862636,34.613276108812954,35.21066834141525,30.847831062220912,30.352850927606696,33.234093209620916,36.399635389580595,37.84342907844144,39.260593630714894,36.11187356019902,39.46195052651586,35.34981518289666,33.4731460816941,36.54255896278565,36.705546897621424,35.576914802318235,32.32749793751597,31.75215188623115,30.960441533790583,28.771919779866202,26.25048026638071,26.582573199543546,27.433977727768703,27.496939780445427,29.18039878224681,29.74103954697606],[23.314347823126468,24.554045797168165,28.100441077541472,24.22244072981428,29.55819525531688,26.770338818133645,28.496442627019814,31.095338935641074,27.897417733030217,29.206534770470412,29.94115924836663,32.82363479556616,34.2832081011488,30.71842795872504,34.79706979446094,37.589348069516674,36.80588746435369,40.01780990073528,41.351120601283895,45.13167336777223,47.54829896249717,51.83270222875834,51.65680406016949,50.81577161821549,49.085160648892355,44.74377507911914,44.158034844209936,40.60265008989634,41.34052625912581,41.43031345780828,42.0603944058661,43.10799563255877,45.38027820467203,48.79420169043274,47.83634949593352,46.209389174669916,46.53734080698955,47.08363696991328,47.26164810197888,53.466722474058535,49.950014157664484,49.82173187662484,54.35193608369897,54.77947647283983,55.79561833742397,56.871998958801996,59.83776152813177,59.4961083516452,58.60630404110482,63.03061395723704,64.10708371542124,65.26052114339224,65.15510166336385,60.0622861627774,61.756402958313316,64.93820921037533,61.757226668155056,59.029843778300666,62.73715151496327,64.31948505131814,59.12694586827564,59.078920730869456,56.50710437984575,57.02310581656131,55.85449001269083,52.768723879685695,48.27041837552748,45.38403301788462,41.509935847166254,38.772127403361985,37.35106348575849,37.987291248050745,41.017795070632154,44.918116116140624,45.48664699460532,51.36327092824698,51.93610521932676,54.60582370509925,54.74562109473578,56.75613960284221,55.57818330793852,56.03838903715318,54.56580785652699,55.37097782220947,52.35857978701984,50.43921852844034,51.30747069117093,51.787717835936206,50.2211457954023,52.26763642775276,48.871930197862596,50.3893219222022,46.76283947258831,45.08482118595641,40.81797888771609,39.53794270991128,35.718232220067,40.11971828802248,38.42898640058478,40.4222893967194,43.26328182376989,43.71939425363195,45.97455019364215,45.21744186226455,49.17989284475241,44.78030717828132,47.61154954026893,47.31222723675346,43.22141826010385,42.54756774595534,37.90247070152901,37.94447803523476,33.78879601242026,34.47196817216009,33.22805348857299,33.272227326404725,35.57860285926392,35.82923109858425,38.7247937344877,37.015326631781626,33.624947720785464,31.45138156770169,29.94243198253667,29.472655055867207,28.611905136600523,32.261840977993096,32.140931690115615,36.351160799042574,39.17820322550167,43.666686869432226,43.41168211305354,47.70972309007817,48.59833856940827,49.18840959729814,45.32593448200189,41.185706989838344,39.393939224289205,37.550365373846844,35.36402964290008,37.86368959842851,37.906027116987055,42.14495694138226,40.887436573201356,39.69541038681749,43.35423619301336,41.43391236673197,38.7797756297683,38.113868615434356,38.44757562268484,35.10506223796223,37.015107919332905,34.75766368497977,39.07954767346195,36.75669184569504,37.776505134565596,39.469564752697835,38.031407510785705,40.09807070507906,40.52326386780017,41.85227477783098,42.049226108342516,43.67993334949737,42.14233745884829,46.54679919569909,47.555138044797566,44.79413395382659,47.85925147779722,49.24962691432041,46.83664741597788,43.244527392581986,43.92466758372071,42.09741843542571,45.82129428552233,46.69702482314918,47.3233156429159,48.26261672011664,45.9228589990634,51.37496735020015,51.19986691258348,52.46712541304107,50.940840359989714,47.85821614296668,52.29649493587675,54.622054595348246,51.80753450934274,54.22803911368165,52.61350836501608,56.389582068045236,55.10548537798399,56.478804471507644,57.06250598293245,55.036902107122415,53.81865105501386,51.56362932210089,51.748168648672596,51.68899004648533,46.894490418260936,47.973955949739484,44.94604175684313,43.52996493894327,45.554825462038664,43.79060950972789,40.333250445510956,40.730737087789606,42.534461917350306,38.287475776558914,35.306397174734656,38.67477290066748,39.585411476375356,33.54852720648397,33.94564158530512,36.02758876660592,32.84280492971401,29.61813998700028,32.706010454011206,33.71966468027153,37.77884758324615,39.26460249593087,40.42473651862011,42.8396515769887,47.81690029844308,49.5624888526502,53.26481597361114,54.9380982658774,53.75182276059631,56.29777180265953,54.153807196891485,58.52893054175374,57.1253649980535,51.58010026728965,54.82467789702121,58.08341786081275,53.92779703698061,52.10431968004326,55.46816051627376,54.94553605355707,50.51553340391185,50.32076090617251,47.074034512508035,49.570930651659985,52.215962627727784,50.713065137783175,52.410070484978625,53.99467736762065,51.36630715278767,48.281145469167,49.055516216984614,48.7006587247744,44.636108647514426,43.45695141966575,44.133384695654385,41.5146037765023,39.10730623048269,43.21061314770363,42.293508305283915,37.41341111166681,39.50565522978124,43.267472727297374,43.34072518323663,46.90983480238162,47.03197131032055,50.82368873360756,48.36109953458915,43.72731906030725,48.169595539886416,49.00164293294635,45.5574575873792,45.36071241032354,50.99727135879694,48.93337642582827,44.158657741298974,47.31889561575317,51.35764817128531,48.26012504341921,44.84508208354051,40.12179920003872,42.98774149955694,38.433019343780764,38.48752619581589,33.84092367676057,34.87676143938903,30.757726664839176,29.7172711526497,32.629408146990116,35.55713597399758,37.22421737667959,39.01353041700044,36.146643605712164,39.706402338650854,35.765372953302474,34.0818447044287,37.581189175055044,37.91446875141361,37.07441838443274,33.439836313737054,32.8608514061568,32.52586797963323,30.214306476511876,27.396050408430867,28.220214648126902,29.404379848121934,29.702106379364356,31.460033452605693,32.25643776352596],[18.31365619152835,19.927168538589953,23.975039687317167,20.869205899426415,26.658075488652017,23.96868920212605,26.452397617837924,29.0768360560464,26.591460384416536,28.67571790669024,29.848543631573758,32.31242290467259,33.97529222290527,31.05386556366233,35.37869943368411,37.84714282314692,37.172859281607664,40.861079439419115,42.66234665479552,46.0376537492149,48.83376726764242,52.938656898385034,53.10802521445579,52.248748374822796,50.12346584730729,45.866301277150924,44.760868525272166,41.03326846002428,41.697307497103544,41.40418082519291,42.78532807534693,43.053703107638015,45.55742359422094,49.30676729409528,48.07081515632776,46.632466372484416,46.355579599268204,47.2279321304213,47.23310051766784,53.23755523085275,50.02799709392755,50.4047298302701,54.87886700755976,55.04575968166569,56.31325970252894,57.25614835275506,60.38534757771456,59.89191119637185,58.62253820545437,63.04642663028919,64.199575461624,65.09609518699385,65.11719565041453,60.126588904746285,61.64837850732923,65.13171437759695,62.2323211319361,59.40620549514737,63.153746230650775,65.00007831010896,60.023462361269395,60.227893134608486,57.61162362546027,58.59072765519772,57.17765727250995,53.81380646985531,49.80345279657867,46.68897567000304,43.22772191432139,40.37424940195754,39.30205671078323,40.443195951257856,43.094062950281774,46.976048576191694,47.034102692783634,53.010584140471444,53.115680454466776,55.65524451314439,55.46580102240503,57.30026495526084,55.63498258795331,55.86258159711692,53.93758121387338,54.5538875654401,51.71235101638709,50.02173038521545,51.42153405737283,51.70569865401232,50.7710390443059,52.859419582377434,49.837477390642555,51.763358034280515,48.00201364467982,45.974102492126605,41.52400677491821,40.50622045455991,36.500976806782255,40.22917188589772,38.0523426991982,39.398734163003574,42.51299761420726,42.16237252678615,44.82225677365854,43.3768074440878,47.23427774637281,42.538227866828514,44.91128905141872,44.51026890957798,40.22256679971072,39.760440121349895,35.16937642867427,35.925446078345864,32.05862575877779,33.19264966556746,32.727652612281595,33.0189949825648,35.83213361557611,36.390618904968115,39.90733271082222,37.9801232471014,34.673285541725406,32.083949025512645,30.313697819475582,29.170562500066016,27.619390218698555,30.77773922438806,29.617376345204228,34.1572212850804,36.629662112265024,41.3167360761542,40.73870507140267,44.88345474767288,46.20428546005175,46.918713712597345,43.28624614624101,39.3885997901086,37.232146818355076,36.10005510154558,34.45848221848825,37.23542552751026,37.97494492281585,42.48745076354855,41.320887681776505,39.67780202695861,43.29490512775225,41.26751918922657,38.38903004844223,37.42386104507925,37.20675786736681,33.722733786960475,35.00316474185825,32.89356039076105,36.89941507354025,34.56619046767765,36.21644856126259,37.95683876209189,36.82817874190254,38.43482709375552,39.47139761002948,40.201177078528346,40.70999663743659,42.98287904094588,41.445045042381736,45.92222652958772,46.697079883840814,43.97312675354022,46.55260222348576,48.01991986261359,45.21001232664272,41.87467471513953,42.33134983883545,40.83800343553782,44.559170195643325,45.41561025576656,46.19608512796254,46.941218079000095,45.01934057906781,50.28003302247601,50.221146234179805,51.12075538930825,49.653162512919664,46.065073031640985,50.42081953646047,52.814130664055064,50.24669162876307,53.199305576615785,52.02316230727995,55.83462940151894,54.64160080891521,55.54001827523518,55.894979867537714,53.64838687194037,52.070195535170384,49.54652569405402,49.393762169538086,48.96737092830989,44.11241890459096,44.81504334131094,41.45765920206671,40.10715856591482,41.62797165692862,39.92713719054205,36.67635707173408,36.664262026807144,38.18637444536109,34.073762487697216,31.087628892039177,34.057914989262855,34.87748174169319,28.91979909669758,29.059575108824706,30.91151525756266,27.87914876938565,24.574281505111045,27.36359938838903,28.582181815278112,32.39124085769072,34.20874598942079,35.427011478053956,37.636500930169674,42.678763550616196,44.242820677320175,48.11315910463003,49.884404184151535,48.93088783238669,51.63861196047108,49.77212129109011,54.16478406683504,52.55303167830053,47.239676987801005,50.70322447841629,53.85698357690055,49.69762682205306,48.1388613911943,51.70815939665125,50.99906654622682,46.53823864399204,46.87930894967947,43.261082965208026,46.05156492804606,48.45383875627274,46.647055842508635,48.50634816411271,49.860912039235515,47.590233022034916,44.401108678064354,44.76136464566627,44.646129902226185,40.775586280055684,39.181205027457466,39.727212995763296,37.20665254056061,34.61006693894952,38.43824290427051,37.517834459382065,32.64577285397983,34.45849717554919,38.13320453434367,38.249444307662316,41.96017871025586,42.368282000276004,46.05455915155029,43.32396932276223,38.91549970501964,43.53877586701668,44.135640547808535,40.66364857007999,40.85170690860599,46.36087461090117,44.10708676957295,39.57032085304888,43.01918834528039,46.82692491718973,43.644659350132876,40.413924491074184,35.73630210979454,38.58209153619428,34.09498975667668,33.6865166417172,29.247411614052158,30.266211137223923,26.2399589313785,25.405284182945735,28.565327804467216,31.590686197743157,33.47405649550281,35.00258119781392,32.603782352444206,36.3358207391421,32.80402271456623,30.53281801501341,34.12377360441189,34.1190927889084,33.80554430910572,30.14462910767535,28.88148417309737,28.827851517963577,27.20189252493711,23.590050059589036,24.25454142470161,26.059866711442872,26.90222282088329,29.146591337031396,30.2380888795109],[18.773828490892857,19.288372159860202,22.366676768979072,18.16849950774825,23.534650020592498,21.780777313888414,23.793515950712,27.068639195906073,24.537320038433535,25.845017670925834,27.402285591756172,30.43616259416036,31.117893660431683,27.91787894508224,32.56913718017788,34.95340122485351,33.596404665885494,37.16392486704994,38.44179875212588,41.89809636701881,44.4779810325232,48.49992110043186,48.469036852339194,47.347523514355125,45.3505286470988,41.1794343601887,40.25173790971502,36.751942233566744,37.91027386566813,38.13482251586963,39.831857421114854,40.427857806512115,43.284956029095575,46.71324543318065,45.15763870150635,43.263666024531396,43.16655732672634,43.342456540113446,43.087669730242794,49.03934350200441,45.443706071223644,45.97309088903921,50.46804624960951,50.48081943706655,51.493250529246325,52.27862374344749,55.426367678094365,55.18602252516836,53.85142568255002,58.2444006655108,59.61054926786428,60.66216599386673,60.801786354963916,55.724225651415644,57.60893700807066,60.99159255882994,57.90916955974315,55.351540132358984,59.23567565811754,60.785218389397926,55.79217268670079,56.27197065777922,53.929924580449885,54.63921037346245,52.96762494046392,49.794981560204704,45.75990702044137,42.95355282909661,39.304312550667966,36.884089592693506,35.5943846301744,36.87454382062707,39.74736708437732,43.297802521160264,43.68066541393477,49.754180686732326,49.60183959166179,52.50635720247053,52.10748121492586,53.666383329088724,52.20405358111517,52.134549208893986,50.58883183710796,50.92757089545544,47.77906360680967,46.35106136791661,47.619783247955496,48.42413342346475,47.242708053207025,49.88929330896442,46.79036826638639,48.917637214992595,45.37034168497712,43.63303888461273,39.09349590379297,38.45972706785495,34.30412031900123,38.235936114987965,36.21970810597527,38.23451488218982,40.50234279334598,40.36644997071826,42.356999088574284,41.0402340723691,44.45565046892508,39.80605303039688,42.445722998157414,41.721574182876445,37.55914907179195,37.357128229155826,32.64081721094717,32.844646264835475,29.071857259667603,29.49004583351447,28.98384219775203,28.70156924733788,31.496270113194413,31.52612790150947,35.21298705709622,33.7926116865391,30.345351586090306,28.008359802333548,25.70011207349749,24.89757544175835,23.87483307551189,26.81189658029254,26.59402287447425,30.7094140811402,33.37530305064045,38.040164133652446,37.26256408555829,41.633664247017535,42.47083836235551,43.46142404356,39.35800816386919,35.397371283822004,33.10387445968861,31.593993835122934,29.61269991276908,32.49651031067734,32.73711135325723,37.260063604868634,36.3995856622961,34.9554321077738,38.77357852225034,37.14538272240568,34.26005364121971,33.85042401903906,33.98839412817018,30.985365183752723,32.81442263868901,31.328934005736677,35.82330177268531,34.36625744631193,35.536755727101415,36.6267765176544,34.88789436057134,36.34651430713841,36.839577997805975,37.35795232818194,37.120171695280106,39.21865690134128,37.117532856681365,41.674735816451374,42.13749087059838,39.067268718528496,41.893212256459805,43.09763938095782,40.47376161580115,37.04958842497994,37.80525694014467,36.323720991382054,40.33087535181733,41.50857923162701,42.538086376629806,43.7283375809464,41.88135160873218,47.2904992572288,46.714766667040784,47.76348971670059,45.7981392458864,42.67526564448593,46.753594081479115,48.90760125844486,46.13937822257958,48.90363115152925,47.61878976647029,51.26525179361658,49.76401097960288,50.84459991295593,51.1641372988618,49.16238676767577,47.65512318699224,45.31669672117028,45.418735271742264,45.19434679067279,40.39030265948717,41.55176376382103,38.501063986500036,37.42781148624383,39.471979178254706,38.09533400635533,34.49820086789181,34.599475866549,36.75964845154505,32.73594327715786,29.193420055515443,32.80041784272473,34.35405465539903,28.14944463019846,28.364706284512508,30.89301236031719,28.084527014407502,24.422604123734388,27.588624603661692,28.079010862835393,32.65982612661371,33.28696191266971,34.5366193877592,37.30128815554829,42.08099823713953,44.266932696936465,47.5675420415849,49.372141267787526,48.00593706374308,50.56692027755252,48.43021452009776,52.59851601388294,51.09514981840588,45.44173090504144,48.70060605485187,51.7522389840101,47.486616759421324,45.67049391222901,48.95763329644617,48.261071192481495,43.842889733056325,43.6726853088073,40.601387129640585,43.39960051175008,46.13960672921504,44.89109004353402,46.891232145537344,48.79954318036873,46.28922444778329,42.85573454399564,43.95610679080431,44.000535438689525,39.723776825832545,38.35903567010239,39.58684829204501,37.21880956780876,34.385940835790905,38.58515903684058,38.184639865473955,33.344912209291095,34.98153061361927,38.83000115177745,38.428529158910685,41.886593698023226,41.770017820921424,45.39209003426111,43.00690966879164,38.12341687208081,42.36013620893258,43.12955584684718,39.656668131342315,39.16211150965813,44.77390562498951,42.709993987635265,37.76411959341576,40.772568227762164,44.84348738912665,41.76177843968603,38.232502223400346,33.50440114207503,36.370168695660844,31.815280504914853,32.21035062456685,27.403581371200126,28.57462338933822,24.617107960796503,23.164205123643896,25.935854164164702,28.741135893107238,30.39747675061618,32.43619533842853,29.715681497555597,33.43182500305736,29.717269322907406,28.291588736164034,32.322145653664684,32.991571783121366,32.56882252433759,28.35441540068395,27.94167889093855,28.374874579043308,25.756658382655687,22.65436128028492,24.542959747982753,26.159124805743776,26.883387112309478,28.741467889868318,30.176988382325753],[19.358430219472947,20.4697169077086,24.21515270288044,20.952540133293613,26.733861236274823,25.412182854415814,28.068489163528657,31.337235117145166,29.28800849317488,31.05644751274015,32.743855232676744,35.50769109854027,36.40180657995083,33.473950587635585,38.156535623202444,40.44402133089212,39.13773423769278,42.836534676057724,44.15787587360868,47.51460620901255,50.13797213347185,54.07714165026657,54.06281771696674,52.8202948267035,50.788883624357894,46.69909953987161,45.66747278104022,42.19010870680964,43.410214062867475,43.51701115685875,45.45919940595084,45.76829331958261,48.657393746551946,52.23437198240809,50.61735819835326,48.80131216480724,48.46502494371484,48.716541253969496,48.318917945601626,54.116891295396144,50.55278067385594,51.38224566843789,55.84415901134515,55.67201400990294,56.66552394899685,57.26442105508919,60.490847287755834,60.34393087946073,58.75398523876037,63.10540655552599,64.65228304099227,65.62707845137015,65.8955071478593,60.8539714912522,62.76812354467351,66.26908808676465,63.267658992276644,60.74889994197951,64.67097447898969,66.25036090176538,61.344225164750604,61.95363503334317,59.6363188451646,60.413629547898324,58.650141172268576,55.4519296408515,51.530468163085935,48.72060114799538,45.12909715638571,42.717027789131095,41.45824626846533,42.742427568711484,45.61334077806103,49.16235735138171,49.49658834770275,55.57608831975176,55.34204806575676,58.211089918874244,57.724887080944946,59.20623970801068,57.57098324873014,57.35253152851306,55.621504337096674,55.794813554024294,52.69050701750561,51.46999544324519,52.97969640734982,53.748463377591186,52.807155914917765,55.463574995411676,52.47608778343345,54.667776647974314,51.070412425776524,49.21545345937817,44.65169252671858,43.997959695247225,39.83815689668776,43.542019560915634,41.32174695814475,42.89601163190524,45.46451333804836,44.857076863958355,47.14238646187292,45.36678012377237,48.65142108370437,43.76528360979441,45.977691669871966,45.04969949499904,40.70459733857093,40.832928648546215,36.18278184113498,36.98935984265417,33.514233465467775,34.13834137326369,34.143989590932485,33.85972659469209,36.87838317671341,36.826684758526774,40.77462247814004,39.449160250912634,36.01261327697582,33.61771418739374,31.09538287312556,30.087279683356073,28.7873317008101,31.22280920208475,30.291399733810113,34.57651234878969,36.883632231010694,41.74234015322821,40.435131792587455,44.70252827582055,45.82164189500479,47.13967326776332,43.06126197119758,39.38030355208671,36.52747353507406,35.63188479702298,33.95968352035654,37.14344351328537,37.4849407846301,42.14225821551356,41.57022912979537,40.01126853891733,43.875903338702095,42.343620764630685,39.349933921452106,38.8926158618822,38.726417336722314,35.68443207107106,37.05402467647407,35.631234595511046,39.805643586885346,38.12194900847158,39.80163475691526,41.07882768487352,39.625515353598665,40.81354205627015,41.7118479711924,41.8194853377541,41.68949326059623,44.18606305898391,41.90667825789313,46.51947363423467,46.62669834160917,43.326359862316764,45.84591755315813,46.814901757069876,43.89817406457815,40.770289757427165,41.57614835065292,40.51262467259501,44.67860514046424,45.98847295310517,47.21852720949375,48.35560742025464,46.8046519942254,52.08432925758438,51.51692872188967,52.32696521383328,50.26858820174897,46.88028659627924,50.74754929925438,52.834794588870615,50.22442411634965,53.367663422332974,52.37934818777096,55.93395024970694,54.28369793765511,55.08799560909253,55.128546942483666,53.12145071939433,51.24959700811039,48.743763091837394,48.59167747398911,47.95083724989814,43.12194395341246,44.0416959606459,40.62887721910908,39.92025188165117,41.3340211083768,40.251006004032774,36.876735688301885,36.23582323562288,38.16309166916126,34.46716000169756,30.607607564582885,33.64166926029176,35.33100062158553,29.241519841575236,28.801365709095236,30.995709995395963,28.660138946433435,24.676284436944705,26.94977252317669,27.64878595053251,31.869350228591653,32.50743753096702,34.344516805193805,36.86154759951763,41.660302431383286,43.63891026603027,47.1889581781832,49.41584407511453,48.49724884429952,51.40872970219487,49.77796336746773,53.855706183656295,51.89694931836564,46.59595492532886,50.222327359067556,52.90440722606646,48.500148539192196,47.14557038211446,50.6278441289902,49.3693405507058,44.92216077741812,45.5763595422849,42.26696635543407,45.706928691302984,48.2056634127757,46.68790762393607,49.02121063207129,50.68041622186937,48.675112361848534,45.0551328121251,45.62884744734654,46.048549959371506,42.04342876151135,40.081990631822066,41.130693888176175,38.9105973791908,35.80824844828427,39.505956976706926,39.063210949814064,34.26007009429869,35.3605542103868,38.99363833461541,38.654877148273336,42.403498740700286,42.80243719608146,46.161724757097325,43.21463413411364,38.727849404064635,43.21724908140307,43.40422983277856,39.815838450848446,39.922920462065875,45.21355242516052,42.545697505529034,37.96967558946614,41.44418052398003,44.945522433374606,41.4415769114191,38.172098720140234,33.55444126363112,35.77933272065074,31.1443823385438,31.2277383862807,27.010455681392894,28.82769588539135,25.37906557077601,23.531136319598225,26.681180339530535,29.21052026246137,31.486630278502922,33.64252408369193,31.840774397057462,35.88176744769871,32.77297805880616,30.86310595459874,35.13068042600207,35.4303431814975,35.643880040577535,31.40245430581241,30.172250362095987,30.952986989403954,29.156873833726355,25.174638518607892,26.732627965810014,29.012541890601554,30.210229479661457,32.50108402006748,33.97430726036682],[19.64437882758346,21.179293373540922,25.30130052314472,22.750786421134773,28.687028420427755,27.419126936875543,30.42976373020163,33.57214985987698,31.809243356362813,33.92455750220924,35.64431936202429,38.167423011967905,39.3001076971319,36.595223382840636,41.2561616431376,43.47691067273563,42.30981171390675,46.126180182094274,47.60460772640178,50.85842136032962,53.579175532088236,57.47585161752338,57.546580568893205,56.304549433337776,54.18898321442683,50.1285236190609,48.96455668794575,45.44109766734662,46.59148941917745,46.52586705652821,48.59739080608311,48.65355060777072,51.52290555062616,55.24018064982422,53.61749957910332,51.92896497031116,51.39967517186159,51.83179865843633,51.40307000808614,57.116463501735915,53.675980189929035,54.65366461976181,59.08768524669185,58.83854315561754,59.900295852840046,60.43931930674685,63.70948599949379,63.53265276437448,61.81068101212544,66.14529110931765,67.73427313845652,68.61780841231477,68.93254966616952,63.94136336029277,65.77722590498674,69.37551596826796,66.47661191607375,63.916155724014736,67.82987458219046,69.50382013821091,64.666274425519,65.31172721071508,62.95365423662019,63.86076385367119,62.074833301803395,58.801083947007186,54.99040961613944,52.10183025815208,48.61586928282457,46.12432555001553,44.955027233201406,46.28061104858963,49.06599558117516,52.66514772409973,52.86399078404063,58.939547808386344,58.65702011705626,61.43509725291924,60.90781853075845,62.380747626030754,60.58513530905152,60.328562343105716,58.40875649006928,58.53966881800612,55.53160736199937,54.37832561150897,56.065476938091905,56.71010492421241,55.98103374951899,58.55426344132657,55.67124783583024,57.90492786319046,54.24205200520067,52.257427107547976,47.68400502347362,46.99872206410135,42.84719494100881,46.3458693319515,43.97471282776834,45.19904487865375,48.028911596804804,47.109183411527326,49.65106015852867,47.598156106401476,50.87296069044837,45.87171994699276,47.80109141343091,46.83525668871347,42.399982029704105,42.645093162964415,38.08408004698988,39.29112031198744,35.97245925930014,36.832536486518116,37.119401454370745,36.95668463383848,40.10748015751946,40.15616592203808,44.233486132146716,42.83155364829661,39.435703570149464,36.9351731280499,34.40435878821247,33.19791004874021,31.64918887728049,33.87000184506283,32.412934011354274,36.82861135643421,38.90495034397408,43.83354441628082,42.32007664587327,46.459900960022985,47.8234575817924,49.232995941614405,45.294690711728705,41.78246632175068,38.71682015549987,38.21006658947406,36.786321917916084,40.073856348244,40.62559962547216,45.348434262130176,44.83676802314659,43.15001771239707,46.98138993423962,45.4077199053994,42.35654802283963,41.75751841572541,41.35762573651432,38.22696205099555,39.25664297748367,37.79647397395093,41.70593113517296,39.82302694940532,41.835041038504556,43.273888700866245,42.06436246054965,43.10785078395016,44.31301147531989,44.22232622172727,44.29121911923718,47.03574862141768,44.79117444486301,49.40576237362639,49.40395176420956,46.09651502929155,48.384236494316355,49.31822957937276,46.21871373024069,43.268943659908345,44.00577585475182,43.143840147851314,47.300716101212075,48.59881619466579,49.879238042803756,50.89538416578886,49.503513098761815,54.67019937530198,54.20577757986939,54.84974327780346,52.85143837105424,49.23090634922972,53.03621971381277,55.139001319717366,52.66590537452537,56.047529754439296,55.25054687038547,58.79574572261973,57.15781469452422,57.7597143057457,57.6683545867847,55.59228948180673,53.526008505776645,50.897410331032916,50.55638504414284,49.668674516172885,44.84224428432637,45.528652649262,41.89687300616022,41.305224350814115,42.29105968604997,41.29659060040794,38.13037108432514,37.113382820532266,38.77715545318152,35.26952624007117,31.417977203310492,33.99973760293237,35.59793016627011,29.70230621080293,28.928325212452773,30.790078198915737,28.706288246027817,24.705304332853757,26.394341497014192,27.327473940808495,31.137405315759597,32.02197646671418,34.11075843875435,36.358675962510794,41.172041058292095,42.90681126397966,46.66668871262765,49.08137986825379,48.472936531707184,51.5697462004702,50.25507650863934,54.30953263957485,52.114480666497414,47.09208971246337,50.91858684681265,53.42852089731978,49.00884050394951,47.942783893803124,51.564052113937535,50.04652506520034,45.60471133812646,46.76493870259745,43.23454334163827,46.955117164177466,49.24740883911136,47.491117474439946,49.950348067949086,51.37257356903038,49.68230772917732,46.03247564963784,46.201999110853414,46.789659553422446,43.02067950568095,40.72969353590332,41.56812680538062,39.42693254314856,36.25135870611061,39.587328588165384,39.052190571314355,34.323350319555175,35.14674733687723,38.596476330537236,38.37667776701032,42.281720742921955,43.032879070268955,46.24275381528368,42.9708176151824,38.816036906809096,43.464794213115184,43.327657398600515,39.715541604504146,40.260417566962396,45.328193221758276,42.35106794691426,38.09084897519187,41.85485489107736,44.99739973075357,41.3046720739154,38.2641304245889,33.766371751545364,35.67157616120636,31.08668336179382,30.804733225777095,27.03371302033207,29.07562143271184,25.924751876610976,24.08686821476527,27.428261124512375,29.846675544352205,32.417065052761835,34.46334331730967,33.18232369222154,37.331806939249304,34.57872099441033,32.29133914497663,36.54593760917539,36.54398350259649,37.10211402799685,32.97753524920837,31.2194633669016,32.10090148366946,30.88769377973909,26.45896180787062,27.663229153469448,30.278728325151214,31.731326990985245,34.2699805114764,35.72981681456285],[16.29031908070085,18.024628660517465,22.350061172726324,20.04580541245483,26.079857058563793,24.352218632300733,27.496146196763313,30.4231803123763,28.773977453143456,31.19639937856502,32.90110744637298,35.18628621701166,36.57648929603525,34.12193754998875,38.72231939953572,40.862365469044704,39.94147369030823,43.903081054644865,45.72700003346382,48.81448151580987,51.73857570008087,55.61647862517394,55.90226634353388,54.82322384777583,52.513899360970264,48.43047459307254,47.040819205590026,43.37050133990195,44.27898960803776,43.942856417161344,46.09274204792561,45.865050340097476,48.692752715378305,52.5532916640588,50.950791510505475,49.45575626332328,48.73999533283241,49.50004269488743,49.16768506620988,54.8755381168854,51.70335852696158,52.670358575820025,57.07370969671715,56.87456068282652,58.14732553601138,58.79642588645871,62.0754593841366,61.68203875234037,59.97525788362511,64.33445978991189,65.76568730804392,66.52385847116706,66.7744484091808,61.851052101954586,63.45978032780755,67.14667452368741,64.39666564053147,61.682572834014806,65.53312847068614,67.40599269671073,62.631820224946225,63.216306620876296,60.73950534202581,61.90120341003412,60.15391870570791,56.71806589782282,53.08074015740005,50.004310719707846,46.74739087140637,44.07236353701073,43.11498068246492,44.60114307921101,47.136311192754064,50.81997012700638,50.715743756084464,56.77431662568452,56.4168653521401,59.028783627058885,58.47595027543463,60.0010731358712,58.02982856171463,57.85656956291612,55.724386384091005,55.95973436548595,53.11727279403183,51.86075457710221,53.68069101935821,54.0844402081695,53.58029489028381,55.9749723928342,53.230421535852884,55.533100267075554,51.78895168848635,49.63844634488738,45.05351102031531,44.38143516019496,40.2287732818516,43.471662147462496,40.96889966369836,41.943352068620655,44.95906825098496,43.88142189954056,46.62997338708838,44.49672515488483,47.92559399075617,42.93011128008342,44.805692437405625,44.02140853075517,39.57112205214505,39.63727988081318,35.12154517975353,36.492122257225944,33.13690951259782,34.313417931927766,34.68098999190634,34.822189100195914,38.04974367746975,38.464057917374085,42.57508694616119,40.85810858264312,37.56861718658297,34.860002346845725,32.543620940920555,31.05136605709042,29.187945606157985,31.502807445202112,29.654347521498195,34.2409730534161,36.28277103763599,41.17957659165532,39.904519443089704,43.948879219348434,45.50754886123117,46.67573214948801,43.003536931942605,39.47221439176799,36.631394259448804,36.228620006550784,35.00643343916552,38.18355781781,39.17018076774344,43.903700316124834,43.151493783745174,41.26998099928782,44.96139031352825,43.15583913758281,40.08945479178048,39.202721306519564,38.612552715468546,35.31292674621688,36.12921427037805,34.53017543074104,38.2979393522864,36.30246681307276,38.442320359002814,39.974695089744394,38.93653993822495,39.957790023675614,41.372407833689124,41.30781348974633,41.69985068851685,44.54848037350007,42.61186082100062,47.175088637714346,47.38972664415909,44.37870906286698,46.53279119901454,47.745247681578746,44.58501105692276,41.61123278757563,42.099689425068846,41.13776466121662,45.078270006699334,46.17194830795952,47.314470342877094,48.12146912550487,46.72953087832268,51.81369890297956,51.567923419521115,52.134218298565884,50.39301684389265,46.55494354608552,50.530761205191226,52.78347172321411,50.403930326614315,53.853809404338826,53.11651626746864,56.78198694961618,55.39262620169429,55.882127328612135,55.87530098697709,53.6162446584213,51.59162714361651,48.88141937037284,48.45122449221477,47.58346247238971,42.730714244347965,43.22611463700952,39.55738755566892,38.6748982522361,39.631612849797854,38.37857607820062,35.29064287420695,34.48801731337967,35.95074520520448,32.27282644497743,28.781332538785808,31.318879331300987,32.56052529683359,26.684265404705567,26.148011895325304,27.90535462849417,25.527131745905063,21.743802752680566,23.743626047910258,24.895120695540673,28.609551806442177,30.066363622239223,31.78863019505341,33.931367825239825,38.88426553965565,40.48085523519907,44.355933991103186,46.52854506560097,45.868050301877176,48.869364633753186,47.445206572838615,51.64817742087604,49.61226514465621,44.573466833641945,48.34240937917291,51.08419141380266,46.78355993502533,45.62842250427175,49.32546974194951,48.0848332400815,43.62317144295641,44.68396134635983,40.92982990304736,44.38285426562491,46.597752491144455,44.67832792133713,46.96215597313958,48.2541063202169,46.49725034054272,42.98899072900876,43.05099217071399,43.475248915074395,39.75996378190364,37.555393413164104,38.23471271787965,36.00636994845179,32.96146376194491,36.365058368983334,35.70206650462877,30.93146427118747,31.993404554610375,35.50276767017253,35.41787977845328,39.30242182029874,40.031927598498015,43.38880872864671,40.22867516264631,36.06058589939628,40.780291335428544,40.852674920070484,37.28672883110714,37.85873619837526,43.0613666301935,40.32351576851531,36.05125486129143,39.81726290919972,43.15311292672331,39.66083360556455,36.62428194685484,32.06625982978524,34.42010852119666,29.92429350784698,29.31628492836337,25.331920429072284,26.891258913059264,23.413513947904217,22.13648949013647,25.530854700798173,28.28105387414895,30.645174146022097,32.304672193900906,30.791360172180557,34.831645586331796,31.983321398886304,29.417851168032108,33.432981538338744,33.273114812713054,33.75700497319288,29.817772430720268,27.92791601386901,28.617412308628424,27.58768337412321,23.113614303184708,24.07700148653397,26.689189763862537,28.17782957085191,30.796636594241217,32.264998684431454],[18.351312660761334,20.830652545675388,25.56046561827281,23.72823584350066,29.749949648276587,26.956086417526183,30.029560996849813,32.29605450197556,30.3270788198181,33.07568327835952,34.24286885828914,36.17143780767277,38.36520548735907,35.9059821255613,40.10380404595634,42.437581111714216,42.11519947270273,46.00460518113855,48.16800328849759,51.33132633430998,54.33597685407304,58.3765308961249,58.74508281442305,57.95663803230872,55.6509893952639,51.42739699139167,50.059402556375005,46.216196537286294,46.66324648118023,45.98663891397363,47.53142243494188,47.301088615270544,49.69330884939368,53.71487069574316,52.53096680817562,51.40293615761601,50.76979846037911,52.08088332541018,52.09702840306975,57.96993061153961,55.06127602842262,55.63085854785742,60.04600108946154,60.135537896071725,61.58679052269741,62.49163911276968,65.68272845165194,65.05754683446501,63.6129582969952,68.02058090129361,69.15904467811949,69.86884685830617,69.92026502333196,65.03872055967312,66.33184498030919,69.99015575063478,67.30922492125701,64.34762070416599,68.04056836029913,70.11890933889241,65.26530810769499,65.46535353117086,62.72682894441226,63.99446327121879,62.59838122032573,59.06730427381162,55.275891892382404,51.97389631296139,48.76080672863222,45.71473854058995,44.85347646527609,46.07092710964266,48.49636897749923,52.49114820511377,52.2357019555749,58.159559475829745,58.211829687460046,60.51172728255997,60.288348871809866,62.159308216498765,60.19016019809863,60.42784878911354,58.12183843851968,58.74428609363108,56.13762644432751,54.48628312537301,56.19298287872692,56.15712829507415,55.63105067524417,57.460165286601004,54.654347758131244,56.61951581270873,52.730229330013856,50.43660343291542,46.01765326932987,44.91082064801493,40.98107490484771,44.262552365640985,41.818928484870575,42.441125092491056,46.11515970884571,45.22092387928521,48.41065822081793,46.52184042662762,50.45974081223089,45.61215622262216,47.50436150328147,47.15529458729504,42.73373734022741,42.35003592924414,37.95180025839161,39.41136085691521,35.78420355111943,37.417870547048196,37.401964469721676,37.99086400727765,41.01034914448304,41.83646863151007,45.5349209271081,43.38477527221454,40.19043957204028,37.39195456712354,35.69381888437088,34.174717363548396,32.15155989081771,35.00365001425678,32.88474957211397,37.67945235658336,39.77189925938582,44.53418622272734,43.754776803751696,47.64546665517866,49.43597166341373,50.17287147835181,46.88713042260308,43.243783302725916,40.85808718162436,40.34975538220272,39.14411511803422,42.03875306431144,43.221949561456356,47.83467537097795,46.675005500748924,44.784573276479875,48.295065534917455,46.113618804507425,43.15795363427722,41.857711754405,41.20406683432608,37.51153800376297,38.1379889739482,35.86242346773473,39.29944951518912,36.490943619367926,38.7571236811996,40.866884329970674,40.264742430198815,41.655698639064724,43.2805753615676,43.7476722635577,44.73115692454152,47.40734683100221,46.06649897129488,50.51490050868006,51.221950028327704,48.599713864048915,50.78845207526127,52.30744850933537,49.20058403683631,46.11876033200951,46.38432239044234,45.1549429437103,48.771568888937345,49.5162482893891,50.29853711940079,50.7459401134439,49.054975527224705,54.081790306201675,54.310022343279854,54.92282821949725,53.6881527140981,49.650535326714234,53.99117022461733,56.47850803143943,54.16527951792636,57.49835392076927,56.62779496802413,60.47465256344278,59.40356785964747,59.96081450272235,60.15558266210057,57.730704150039664,55.880425470447264,53.13872748277071,52.65957091338178,51.8620371277806,47.00510824410131,47.25490478334804,43.54317550731252,42.235010029176884,43.04429438022342,41.340212939550774,38.49317945320297,37.994192234514244,38.95054974465224,35.067599801203095,32.33630542204384,34.51147816936243,34.916086464527964,29.365918214242352,29.09862542136805,30.26165673524986,27.467580484778004,24.368175600824273,26.30592892962712,28.087444880248846,31.04048728276411,33.67131893474259,35.08782662974415,36.73508608410767,41.86610382447584,42.87911309831739,47.19623994749149,49.128144073623965,48.69398838051498,51.65058406003914,50.26151555617207,54.69854978315616,52.790029709333524,47.955433465463145,51.7074710073389,54.70196362753469,50.59420673481018,49.463848697253844,53.28849709632837,52.30224300210551,47.85186451069516,48.9506914331424,44.88017499233585,47.97211473370957,49.9897693716896,47.696187243508085,49.64219023431447,50.494185870603175,48.715913252538606,45.59503400388343,45.18542791952688,45.22206134989071,41.823477340752596,39.74634331519403,39.776447419091326,37.32445241536142,34.74748907615817,37.952704574365356,36.72412931027253,31.98440998876721,33.512979622926096,36.86383538870634,37.33804679235297,41.298188217226055,42.322193766502366,45.83862195904261,42.62287353500903,38.821925793914204,43.744353488618856,43.91576631016201,40.451312302584704,41.39851493687252,46.58764132415348,43.957582380989585,39.96582153191776,43.87532746118902,47.178254827333745,43.79987001472354,40.96036860357136,36.470554819504805,38.99741620227185,34.655058241798294,33.51353082531536,29.723932908119906,30.852798929182665,27.170802927340343,26.629016602489173,30.084236748755433,33.06309061043331,35.3074991118913,36.48953532622497,34.81106881617521,38.64690275533764,35.63991985588315,32.64834739980652,36.04756895289421,35.433109853503026,35.62369240015407,32.32632581684128,30.11663187465284,30.055110533070756,29.56049375420167,25.245053681568287,25.045706251357604,27.36589074306302,28.621069725697925,31.307637915076757,32.29288710119883],[18.228149767851633,20.92369843377641,25.634706400152925,23.93389747474167,29.740468917008698,26.025300141290703,28.86970434948325,30.569000900482415,28.340655692171495,31.288879751548983,32.04440347583681,33.66051180062915,36.41929830512321,34.054604219212194,37.89468421791405,40.30619473628447,40.473298457347674,44.31143408946489,46.82103498564914,49.93893202145692,53.05450263743927,57.169576896168984,57.68582050826919,57.185951340690956,54.81532664753156,50.516148299515095,49.09053476812102,45.108226278483215,45.13540284441248,44.155128393142896,45.28342808138009,44.990837936669784,47.063676331818314,51.187658598398826,50.29591732770746,49.47405896168725,48.873176490375705,50.64432913692031,50.9553760319431,56.92143842743101,54.3059528094774,54.549526997128886,58.93242300433645,59.26564651907622,60.9156012336835,62.06676215100298,65.16759749445112,64.28523327285275,63.081562332423516,67.51714225816724,68.3563424394191,69.00060899040957,68.86852776984904,64.05396204190549,65.0455392724548,68.6726988091766,66.0898945230735,62.9172413677803,66.45596390298617,68.72684781100358,63.860415993444455,63.76625985644221,60.82343695219178,62.254691321403236,61.117934373005895,57.48099490203609,53.683937849494704,50.18042167792224,47.12885461038075,43.79355072558893,43.108565136214004,44.23668853493865,46.43228583361208,50.62146266794911,50.130540352718924,55.919217433881315,56.200083710698216,58.22586427845732,58.21361619306588,60.32778158873394,58.33783984683487,58.90421274772527,56.46512548473431,57.41439056964058,55.0271693878556,53.04241423877962,54.661351569544,54.25691394633237,53.76054786283437,55.14513504229197,52.357651961717636,54.122985991934044,50.14285311936358,47.72411643697582,43.44224032472665,42.084583430842805,38.33142769805581,41.53774706756471,39.14391298043737,39.54649266873251,43.61279246907965,42.91453536671305,46.361165171690445,44.74618927838625,49.079551178418654,44.436588692718395,46.44349069945029,46.50265622279572,42.18669074866111,41.35144818843262,37.063525179119765,38.446294479515615,34.59581389980113,36.577185745363565,36.2302066414822,37.23278471238701,40.06087454502283,41.32109367925812,44.6773063054272,42.114184085695776,39.07697029122074,36.17749577446332,35.04817479342899,33.448592415114454,31.28123603355477,34.57653276112115,32.349474573233834,37.22556491992617,39.41585065876547,43.97810861463261,43.7643450404812,47.53109327911992,49.43178322771614,49.7059350858299,46.77629181571013,43.00955075865843,41.172790701470184,40.481264136562146,39.31007143777106,41.87327638017311,43.33104781970357,47.79192517025635,46.22059238260249,44.28332281594998,47.568092576450134,45.049317807696426,42.21699404775929,40.55671082614013,39.86729785144698,35.90667685847681,36.44255624160974,33.6718671201751,36.9023680391721,33.603445693488105,35.828010445860045,38.28358927107683,37.9595523271747,39.647134810025705,41.36411520514483,42.29380534403902,43.743518099269,46.22193438884581,45.445484105496654,49.74242450752002,50.933200852246465,48.75628569281863,50.97527255043107,52.84574546306715,49.8519095090156,46.6386444074433,46.653647611446246,45.1189785877149,48.370388770193934,48.77223323034627,49.21077469509897,49.35894579242575,47.40907418015554,52.36675865445288,52.97670420761457,53.65198879996511,52.87113194942528,48.730336455915115,53.39760094847733,56.092316258189896,53.82301103517845,56.97962019429145,55.97591370931783,59.98466946410215,59.25984041479929,59.885569941938066,60.31634253358487,57.73444269747077,56.1248783066627,53.39932847254253,52.93936018010913,52.33067160148497,47.49690062044229,47.61225084731641,44.008792461944715,42.227301818607,43.159320758378655,40.99694661869669,38.26376936199906,38.29211691920537,38.96482857414629,34.803011357107195,32.78759135675592,34.940080583477204,34.679844252022455,29.330902511463382,29.568096640105363,30.493926654864772,27.17824061251235,24.727894266139,27.10475410372158,29.176248197477424,31.83125944143254,35.232854942639676,36.11479422141401,37.558410103930186,42.797856582041916,43.53047147360135,48.00248675612563,49.52750288875051,49.01080592767549,51.75006606479281,50.13976755490894,54.785412975343505,53.19740291990043,48.34940289967498,51.91171992739006,55.266554283649,51.377982824229264,50.05801964345473,53.89606652853049,53.36487433411604,48.939653342917936,49.72041994748297,45.49417378463755,48.0319686540551,49.9837219460788,47.524604467797346,49.069155218409996,49.70677935650658,47.6984758134661,44.95086507347103,44.429042709358335,44.01967773165892,40.74441433339925,39.02426856847671,38.676681474146456,36.00655948517689,33.89503673455916,37.20051680903893,35.611887419167836,30.888766905554668,33.0183014533929,36.37498340545573,37.187029325187325,41.03185223040158,41.991952075086544,45.747483388265024,42.796149505367026,39.0482833271787,43.98040309264974,44.52100517873075,41.1928883053856,42.10733168558599,47.4420030036782,45.20948298335579,41.22952358612163,45.02020250845466,48.58477167424096,45.5128051113328,42.68196589427391,38.17932260645527,41.180601230481855,36.97933325731256,35.60237042736191,31.623647934033457,32.12595745380965,28.070091383882556,28.244002409860915,31.590712504846827,34.873996538165855,36.76152620954618,37.50193014009646,35.347396062778316,38.88105434084739,35.58165752137099,32.4169188851622,35.22838573173212,34.40988552712873,34.15643546678089,31.383437692275535,29.23541146838762,28.490225246088972,28.140101748582246,24.275345788834834,23.336968994921364,25.173397182877824,26.099217311554266,28.696229522423145,29.344741945520074],[20.599076625639896,23.645272920017078,28.65277321673454,27.706860966233016,33.666498676167386,30.463773139190412,33.72625733290656,35.483795556504546,33.7156606282181,36.88857715594287,37.82420026633301,39.2766999697856,42.05099598617182,39.886864532333945,43.8031064325874,46.104079011452775,46.22628092159111,50.17183565633813,52.67725209401649,55.71921340365354,58.87265786907623,62.92001470406387,63.451432521191094,62.83554857405261,60.42140993647577,56.179623451335786,54.66436761469835,50.702768735713825,50.830633257019535,49.79620831200978,51.18478730880288,50.65606360176669,52.78386119165257,56.99954847308788,56.024241848044674,55.240798760656595,54.43189905931691,56.22123387694904,56.390393784095664,62.221707624833286,59.6253826496648,60.13722639615371,64.50157457322017,64.66277631756778,66.29588303498767,67.28411402148834,70.46738888038057,69.66101661172308,68.22862996706458,72.6378611306244,73.63252960027644,74.20553741142832,74.18954039538572,69.41075842818452,70.42237152155614,74.15908328324517,71.65398501108695,68.51581553779755,72.0903889089946,74.390424685335,69.60320909749773,69.63965657942579,66.72860447191847,68.2224481673878,66.98394399561911,63.32159131113449,59.628588611759625,56.13576097873445,53.11825173463076,49.828904574076695,49.147910158692554,50.31054073251219,52.528398947461575,56.68682993924629,56.17001923835314,61.973285884348044,62.14834180870262,64.15948823984233,64.04719324440481,66.07183033617306,63.926449163998406,64.34223190547958,61.747080141315784,62.53596647421578,60.184219710153045,58.39847838636848,60.23051649651623,59.82018234026381,59.53689384822077,60.96635685044478,58.290388320772756,60.137168102426784,56.13910161529066,53.64291420929657,49.3498444262413,48.03556810733449,44.28370996025176,47.269323804629764,44.72430290287752,44.76871614504405,48.98857340563342,47.863276720683295,51.506951787399,49.4869474064274,53.64650035939392,48.82865964487304,50.43497680468559,50.316133875222675,45.88906847025319,45.356385362036754,41.184852805129815,43.04220655466966,39.489375258639186,41.55567216327494,41.62986951963557,42.55629731249266,45.57945168860841,46.7264633640186,50.340222041451504,47.896619528786644,44.83213091927899,41.902779588376326,40.50549107132613,38.78376420531654,36.47402592578022,39.33800391061744,36.63855096568919,41.574935230380035,43.455541346393915,48.140441072529846,47.48158659597064,51.12036703220789,53.2584976216852,53.80560513008933,50.916166763351356,47.39693860473396,45.11372452800857,44.89991479082389,43.950567289855286,46.7635354145362,48.28071975734253,52.87822312807995,51.547291415248644,49.5169332615014,52.86458323476703,50.44965364416661,47.51956365523849,45.872186911401556,44.955106537019034,41.039411947827105,41.213870342786194,38.611480810298865,41.5162697874041,38.14779192422263,40.782748898961046,43.30458146577652,43.195172858701966,44.59319965818034,46.61650737540696,47.14972176738872,48.64103540872807,51.44791021614952,50.48473663453003,54.8344154998473,55.717072450996184,53.343886109183074,55.31327344520603,56.99774163010514,53.7677023210743,50.796025170029324,50.84995663622807,49.654782984599734,53.04122834182459,53.56300905540278,54.18358313876394,54.30059046358587,52.63195537087897,57.45240313795421,58.05223253754286,58.51320767441452,57.64482499415028,53.29483756254146,57.75501625855341,60.38535106508585,58.26129706101773,61.74259180427239,60.99557860852409,64.93247654448442,64.07883453976753,64.46292251845706,64.65797178000525,62.06705305333624,60.14986209405659,57.28649091107452,56.60617117157633,55.644593919270285,50.82628824224405,50.71491747889899,46.834725307088064,45.36889315418991,45.71197137355768,43.82289079649087,41.35561692984982,40.74336608234617,41.13884756717769,37.37108413353259,35.18916310989671,36.72032484720466,36.49510077198457,31.486928347393356,31.133125250927336,31.601238810391518,28.853421406483378,26.324734651073115,27.679280591684986,29.988171846825118,32.00603671719786,35.58188091110017,36.91118294678971,37.96972409095474,43.13468371494346,43.5276284818145,48.24792427543454,50.117037706698014,50.08917910499299,53.12211641141397,52.03357436731963,56.55860487068819,54.5709497224595,50.15742212305219,54.015189302592006,57.01751669996716,53.076194201936914,52.20159976432978,56.190426993036525,55.19308378777432,50.79898244529915,52.30907830174003,47.888474146360586,50.933816716575514,52.622915866090814,49.91047617611828,51.71962272133224,52.06835447863662,50.58279297651723,47.7258757130424,46.665825889643436,46.60611111594173,43.6820255430846,41.43065778351342,40.86369847234501,38.40374900895152,36.12067978162219,38.79510752708333,37.14793983448184,32.64032875970735,34.17672926024504,37.17087400343817,38.11266149418709,42.16479001988306,43.660359709213616,47.098449944678705,43.639014113955845,40.428826924327936,45.524428233055566,45.50966860281795,42.16075622361144,43.68392877878705,48.615638693879575,45.88107761277431,42.38291107653881,46.54604864065207,49.525405296376995,46.152563852713946,43.65746341162754,39.371039652528204,41.79081112149168,37.68008500060977,35.9223171404702,32.64628987712095,33.58957576262258,30.104087412831877,30.05500470571553,33.58788881955729,36.58871851085351,38.91313255242498,39.668358723069765,38.31760724114238,42.0488409216622,39.30007774651317,35.8062790434672,38.755913871610126,37.6183591898583,37.9590357259155,35.21639580311121,32.422011986174205,32.03032834246046,32.398387369370674,27.93593703354447,26.783373236888075,29.1595321232686,30.497294756793845,33.360525974324986,34.05499137042853],[17.349104662031824,20.76581958925967,25.866380082399054,26.042912872753515,31.777762931510537,28.5058150776421,32.12521939766364,33.53538007017582,32.450827448858234,36.14827792551434,37.259433737578455,38.19158550676616,41.182845235035714,39.66928536014015,43.5200828718439,45.49466660654166,45.853357079041395,50.05373402116344,52.9870394172953,55.6194155065127,59.062990587057776,62.91946154261568,63.784233174482935,63.26665274859438,60.54094473573705,56.4162026439384,54.48710442497775,50.43158402986326,50.349315893214154,48.92387457707573,50.781832954897276,49.587448153819565,51.77041902511545,56.20440585740055,55.088711230953734,54.57568684344985,53.27921384220346,55.459792048257796,55.58539260684931,61.160173405223446,58.9897339401693,59.79211198633312,64.02182215042811,64.05376032466225,65.95286396802163,66.9169306541373,70.15533066587759,69.12482211081891,67.48778075525968,71.8435222983068,72.77067716225943,73.08692868028555,73.11131419960493,68.5137862453402,69.24728896139472,73.18114693752777,70.98863066435737,67.73218903354646,71.23856803254293,73.80620107787752,69.26110692069186,69.41838560389353,66.44599216110787,68.36778758714004,67.01723121150818,63.13671544741498,59.911067416729175,56.23105485972631,53.66054655987126,50.26908962998892,49.92992618627701,51.452740451777224,53.26127827511149,57.37886743825305,56.381437000704224,62.13796612111065,61.968172237654635,63.759816833964386,63.42201317743996,65.33581654617156,62.79574680411874,63.112566559149506,60.12278479345907,60.84906489814255,58.77889982513498,57.10526998654291,59.325610393313355,58.630088473944085,58.90677399350898,60.21571052298214,57.91842134407316,60.034451179926144,55.975017448147945,53.205820605723694,48.89842863738426,47.790768642992816,44.03939177802107,46.3356016559497,43.46897911436773,42.86582268397765,47.30192817486922,45.53645186654635,49.52572492683752,47.03261478224408,51.12651300724286,46.25843929091912,47.42166533759064,47.3874103611435,42.96513789650186,42.45671033612767,38.572556154019395,40.99858423243886,37.79272394386852,40.297567740903595,40.89220661222905,42.1375439411907,45.37918020356636,46.895053887572146,50.77125565304994,48.07377991196738,45.21623483783085,42.034429636804546,40.69846313398593,38.51034263316378,35.72088124048213,38.19200333977455,34.656697665223525,39.664730047773936,41.16653981395172,45.76281926926231,45.08451458179941,48.395583158642424,50.93374957501743,51.36673078736037,48.93750348466607,45.70069101962881,43.43425344836416,43.77146343885585,43.333633160640154,46.123292494658386,48.272169299415445,52.89911925804283,51.50392376659498,49.14690077359228,52.27859493829239,49.710739108230044,46.73278426265847,44.754886247933115,43.38322038937797,39.41003239558507,38.956803477627716,36.43418611905699,38.80333698020478,35.40848374439445,38.53056835978927,41.09851796102004,41.37583609670433,42.39477451683729,44.9334482666889,45.07791463674017,46.98470982302858,50.184760871759934,49.4740866172709,53.70344923693915,54.565556765143704,52.484282552422286,54.00007579200017,55.87806519677365,52.44042309478604,49.71254842985591,49.450878267007084,48.442971481492094,51.56286108001957,51.907129344281465,52.50697389875651,52.3310062342881,50.98334118862405,55.48533677938535,56.315594533878304,56.46152539686757,55.84856086157961,51.1132569133121,55.521403457885775,58.24419720779627,56.4099685653953,60.20880153717284,59.802580273522274,63.75738032519489,63.15209291299455,63.1500675445592,63.25127088211122,60.43949001807785,58.35908569111914,55.32768597521865,54.36438910317936,53.17705278565295,48.449256437918045,47.90828477769519,43.880021252972,42.293866765876075,42.15131364916472,40.16331276544485,38.08544757328782,37.31849984063268,37.212706301785445,33.626507349033155,31.961597042805526,32.886911774556054,32.162092529890955,27.675193672874705,27.269955486510604,27.188245857081675,24.528867626522686,22.522541028751913,23.484301225723648,26.18946404899072,27.473968075872513,31.884658665605507,32.91288843918066,33.523179621079876,38.69234789816058,38.69781988671073,43.61456823194781,45.32996574431854,45.52080881230118,48.5610201373955,47.6810990359802,52.24349710030722,50.239908169829434,46.164598105152365,50.06433103361415,53.08398254187774,49.341765717214756,48.662596153104296,52.7741665387065,51.8545978931485,47.54989772103845,49.389865334106624,44.63932942583849,47.6087472284333,48.971891232864984,45.92369000143311,47.6623095045751,47.65356922716844,46.47929721945946,43.765690962704376,42.2162115897148,42.21372825015478,39.661626318003464,37.18436498261245,36.27455461333892,33.91210367439534,31.735170142507492,33.983098338239294,32.17477259736362,27.86694747688458,29.281654096058148,32.04439383015669,33.22946528696532,37.29536679260917,39.07665865253327,42.43277772392968,38.87228163695063,36.07182084808344,41.23844738957951,41.15189600579115,37.940432921592354,39.85911228308413,44.586764579466305,41.93322679618015,38.826869138866186,43.11007032560201,45.90574181635415,42.710064819857614,40.503938333508174,36.43326414305182,39.00899196587531,35.24068561742908,32.86836786681991,29.937749390442285,30.433839547812173,27.119272880997542,27.753030378899048,31.24186022761119,34.32926219312795,36.56101327780578,36.74652247898338,35.72441625564067,39.29039836667967,36.95274425676344,32.957750272996535,35.53580756774065,33.964401716749975,34.67379905991103,32.32753037562364,28.939813121971955,28.55818710766839,29.796698404767984,25.04341311592095,23.328129000399205,26.042419756777875,27.760903731825266,30.892554580767445,31.709935529237363],[17.879256094975695,20.88455398825244,25.916896760241,25.52091153846924,31.49199497495023,29.0454507218675,32.70178817111871,34.75857932233919,33.60951198010553,36.92746318722874,38.341631313661374,39.77150271191236,42.162217524230435,40.321692251976835,44.52896762317154,46.554901571791085,46.385338779098504,50.55086083634373,53.0397256979616,55.84671266917947,59.10049601390432,62.952049023392966,63.58121929517849,62.77813865508617,60.206443675367574,56.11063192685152,54.364511986882,50.46144132957703,50.82290803853047,49.81230994183914,51.8887037386552,50.997969477866754,53.472868654530814,57.733125185201736,56.38586807029498,55.484658877435415,54.33777477026026,55.954217401541726,55.8304260674759,61.414146917285244,58.83323753431412,59.82549331353434,64.12990503666134,63.98900986702714,65.62521971680727,66.38283173387694,69.67930649536935,68.94862958897174,67.17146388521546,71.51841323200674,72.73502581286783,73.19953826471567,73.37599445420469,68.65221359103117,69.76160137630863,73.65054010356899,71.2564932617411,68.23605733593635,71.90858735035533,74.20371721360111,69.58789443301588,69.97671325950213,67.21236955356139,68.84592250724965,67.28996863114406,63.573326661493375,60.20040751798735,56.75842963839965,53.89654677931751,50.79269414615637,50.19074991225385,51.69677912309164,53.83581633584963,57.79444335758271,57.16091540405834,63.07030043864401,62.796374696894475,64.92685865853531,64.465261925882,66.19075065369698,63.812282225926374,63.86087957979264,61.14465268522733,61.59492078379101,59.217086331933004,57.802476118949215,59.95963656665699,59.710887080163204,59.75411768722095,61.52913998604017,59.07564331265342,61.29734913330017,57.33737199762589,54.77908528346945,50.32979727470862,49.38938473373244,45.45002739544341,48.08594404646228,45.29206768294563,45.18901378159382,49.14539145671425,47.47206630169103,51.06203310325016,48.51931289636546,52.27112328531053,47.24491312760973,48.50362106601408,48.061304083386446,43.55152338944309,43.438218595909774,39.33229669713849,41.57484131616525,38.42597474821704,40.452451824410986,41.13883296180788,41.917554828414374,45.24746365614387,46.274343892450446,50.35901067833734,48.097508820114314,45.03686936374292,42.01935502658518,40.184649904949325,38.21745951884198,35.71906266949431,37.955882664609334,34.846664480095576,39.74259311783608,41.31110888101379,46.110679434416404,44.949046387426904,48.50106894884515,50.76952791081881,51.6534830892211,48.72838238672781,45.492604862451856,42.757310485672235,43.04576320757247,42.40341899132305,45.472460737101095,47.18113980960028,51.918762295624475,50.89497357707705,48.6861728796965,52.08360163602067,49.86420155725105,46.79609498592618,45.256395980694414,44.09394554679348,40.384504233889245,40.28538335533484,38.18847205976592,41.01539223994541,38.13526804911303,41.049059773442025,43.24787141179644,43.07937074789772,43.98645982445574,46.21635783748961,46.10032505918347,47.416440418801294,50.63755767697182,49.33842684035413,53.74067535684715,54.18825528141178,51.62659912743067,53.27469092041404,54.78222277573348,51.33008322692825,48.632193998412596,48.694749095841196,47.87968761328313,51.40719207594198,52.11927297703515,53.032313071108966,53.24574887566645,52.00403640852401,56.702375930149344,57.08515153402304,57.30204751836279,56.17720633686405,51.694816884009505,55.828800233984296,58.32781347950433,56.34111209440634,60.167727635937005,59.75245252391649,63.55494909965633,62.56178863674553,62.63930350624949,62.571036403617796,59.9816180755357,57.758267704015054,54.781346129583454,53.91623185597438,52.66195800413223,47.88447522594055,47.642006369443855,43.5945055053417,42.47629055662956,42.457490252925965,40.930366001914415,38.56648160853584,37.413023996648214,37.80991856678154,34.39229139596784,31.850130035391704,33.087845041168464,33.23358481574515,28.304343794973434,27.47909901289523,27.917165859494908,25.703246958644222,22.832659413155408,23.60630462864275,25.82697095418579,27.784806051226113,31.05261270681738,32.685665234493335,33.72797567536271,38.79139873905119,39.283711899076195,43.92875655710427,46.07732207053048,46.19369540419185,49.40827480241169,48.60134586335578,52.94913208697768,50.68265500259733,46.44036784834805,50.47279261326732,53.1681813400628,49.14465225394328,48.53001442179828,52.5653296358381,51.22648491377211,46.86419847641771,48.8185285560539,44.35882008496933,47.83628112864244,49.41307474688983,46.69091349501932,48.82386970645601,49.21546971225047,48.08012685968041,44.95039321803051,43.78642341731597,44.172018617777994,41.29644879164564,38.624590217981535,38.28414297727738,36.08542430129901,33.410200451810375,35.82105062369921,34.48751929119735,30.060722671557176,30.96990261377182,33.87417743187664,34.5649626281583,38.70359781186883,40.34980333017007,43.5302236916165,39.81594192350669,36.72536908732625,41.82485627078313,41.462964743750135,38.06464811753188,39.79092776819778,44.49475133546321,41.47429574346728,38.157506580404906,42.47280330561602,45.14161320619207,41.614076130159226,39.26266280032873,35.10845641072815,37.22798386725368,33.19971372445362,31.287618760903307,28.365315955294818,29.58671431546549,26.532230319881386,26.268466075678358,29.854904895868994,32.64323235863114,35.20301706680425,35.99873406777118,35.24492989748367,39.12939581145688,36.87573699096308,33.26306499727967,36.527789577945995,35.37094221763814,36.298182239779244,33.28330535015109,30.1535196495943,30.40439265423386,31.054419000298584,26.065482756957184,25.343939000709703,28.307742779094767,30.133138000003683,33.21210638168875,34.32281172628885],[17.573137527691742,20.342562287963066,25.219919551123986,25.176986317843877,31.06363183116556,29.37101976854581,33.24016476937007,35.56961114422744,34.84133496731702,38.14427600641346,39.89110725273594,41.367009113038165,43.3971006009995,41.72566087380928,46.13337844476128,47.97937284986872,47.536028205450236,51.80197310591454,54.1806964669247,56.852697240649974,60.1159840182632,63.820834058463625,64.46393963672756,63.48696781487482,60.85551437114327,56.884521998172005,55.0348362555193,51.22706294849903,51.819945704893605,50.90376659054244,53.44025964484215,52.374934808422665,55.09880106326684,59.33711693283175,57.72433833662101,56.68941702716883,55.353985557393806,56.75050491329991,56.38733886451272,61.77300372283766,59.14030519453908,60.48440211451631,64.74131095505729,64.36581217739322,65.94129552503074,66.49535535616923,69.8682482983408,69.25454796395883,67.22186878072567,71.50791433486567,72.92771975288956,73.34534134525687,73.67954068095484,68.98904735466043,70.22650371106873,74.1981184593094,71.85172949463006,68.96259110251482,72.71593023131285,74.95173649997449,70.45265155480013,71.11028593237404,68.48795398444207,70.15092603158945,68.36123501582298,64.65726806212197,61.475827459360154,58.12867698835891,55.326744607301805,52.409546156809455,51.811061854883846,53.508562457533664,55.6508623087203,59.43758973987617,58.80320658670926,64.77660252772411,64.20636250883936,66.46019171727018,65.7580182038245,67.25018148086338,64.75665310484176,64.51586055716305,61.77655989544526,61.94587259473649,59.510254495582814,58.40266713570267,60.754779565065,60.690450123025364,60.907354770117514,62.97260731769776,60.645951797410845,63.106923821024886,59.20490143675724,56.65495976354745,52.11451168420239,51.431614507375855,47.379777864859825,49.83388317000475,46.91638480895138,46.786864880571684,50.479242315484974,48.4670833449763,51.93829471313065,49.047631866995445,52.43207827619451,47.26966438032676,48.27395181809778,47.530035616414736,42.98260526521965,43.24985342117131,39.204058380188464,41.67533202869391,38.860366556570106,40.752199889127,41.865663337252336,42.44931631280922,45.965793222307894,46.80575279763775,51.20659638046332,49.16639334351268,46.09493529672496,43.08398129500747,40.88901931102461,38.828548501193524,36.29350964990904,38.018858907518705,34.73295808224503,39.513596635915654,40.84207208350132,45.71581375552923,44.097443207730706,47.59375172776593,49.90058270812824,51.11338827903297,48.096360349424614,45.099841594145076,41.960727407926335,42.61298429689203,42.15762508798687,45.4349243635036,47.16915934670386,51.98987961368506,51.258703216282974,48.97650334781616,52.43345904841248,50.42877172829947,47.27608370185142,45.90122205696902,44.61784116927944,41.131970005242344,40.89801276326454,39.23146795918952,42.02932343650776,39.564953800567245,42.608439973457315,44.53046041244865,44.2662782217448,44.819950430954414,47.12411721679004,46.523565795130274,47.60941806404069,51.097117962579475,49.46958882085646,53.90839612056241,53.96965379663503,51.19307317646801,52.62294023512692,53.91368113564847,50.31415236195536,47.84740354070104,47.98266484874519,47.49234756825525,51.17305546790123,52.082516527143724,53.25035995972221,53.59336341321153,52.672642061311905,57.28744824462309,57.447285351948906,57.50256305993451,56.117417193059474,51.61071419496944,55.43425212235212,57.78329648434078,55.882206120945604,59.94409350098429,59.76416174516835,63.42766536061767,62.25962549608988,62.1332280030113,61.839345231852384,59.30804270245413,56.839253192380355,53.804186180768966,52.81951609417396,51.32916831326516,46.607737251204234,46.31525510469672,42.15782523884402,41.41283713785173,41.11038788206257,39.96582624411809,37.67282100021398,36.01978299438395,36.481943801180975,33.431687478552014,30.49012806717543,31.491346171471903,32.074768821657386,27.25029245394658,25.952555375270755,26.410259452403878,24.793950483021327,21.585821576153585,21.72638894470606,23.747311308182233,25.680283228049966,28.435897383150767,30.45944286185707,31.519433474908148,36.42284743663334,37.051746462386625,41.569211360950376,44.02668108831811,44.28346803539046,47.66770588263971,47.129555751387755,51.271813000533186,48.73262796583091,44.65181312499151,48.833976851900225,51.20055237104459,47.08139838268496,46.71174485568485,50.75293805182397,49.05271894398233,44.73359052997359,47.083322949375216,42.670324635788646,46.5675935810943,48.07007119350781,45.400890106879004,47.83820719564857,48.302443696701374,47.46975341033902,44.09692057086733,42.89360512021236,43.68147938193808,40.84363267127752,37.83321809606512,37.73564530185996,35.795397059770295,32.789230078004884,34.94562279789309,33.930916958447916,29.643360278931997,29.938827079005268,32.717029597783146,33.13712236241171,37.31975863790987,39.08285130607783,41.98347640259398,38.04083652986858,35.07246878564883,40.12228629775998,39.4022106163767,35.961262524372124,37.84408966951672,42.29433097775707,38.96043536862905,35.81613032010286,40.251063924512366,42.58615380566901,38.86668780453424,36.64633844246149,32.639470696787704,34.348242907651986,30.378225927561154,28.419951988777303,25.90566361246798,27.52548830478795,24.981040837634612,24.348945457827636,27.938394148229825,30.426940485953995,33.24242367561786,34.18315822134585,34.00227398306922,38.022107259068136,36.206776781839054,32.61520870539137,36.18078650125573,35.0755791404784,36.46901564037539,33.20770939948646,29.904729948223395,30.721109960502616,31.496811716604306,26.19617774684338,25.93294375790351,29.274376305610478,31.403072435923804,34.56447005725509,35.947011029784626],[15.610575093285531,18.100708911812177,22.917143412586285,22.01615467689874,28.04514824901072,26.224315144210376,29.86498093252182,32.40505881224685,31.326332360600983,34.357585110406575,36.08996872187186,37.8471325648619,39.67677181134705,37.73877508026228,42.21862776571876,44.17076036159484,43.58181680426573,47.75706299140775,49.977888233696504,52.78910341934445,55.9537086957926,59.72725392996774,60.2635598524094,59.274957840393824,56.74012354385792,52.71719230437865,51.01118016210883,47.22820918758547,47.90326791416259,47.17031639583554,49.56737505913977,48.78935212079845,51.552944896614775,55.66928444686111,54.062530462220245,52.87326917033098,51.756017742248076,52.95501183914306,52.622831445609656,58.1470368647714,55.34032228497598,56.527516950228076,60.843242133039446,60.543353953345516,62.03637910351264,62.64844427583255,65.98476708016122,65.42197228318757,63.522967109986055,67.84790631795842,69.24674382321729,69.78285927611732,70.07474586462374,65.29962585765527,66.65160828118263,70.51707588473366,68.02885104218727,65.18672030602254,68.9679628442563,71.0861936223149,66.48527469967297,67.10268406158082,64.51754694749006,66.02176092080725,64.25513693978257,60.63025122891775,57.29389964505855,54.020664599743526,51.075366283665836,48.22095720619218,47.51606999807922,49.158709263084084,51.41458887754803,55.175320429461216,54.70033944833026,60.70828763830709,60.21146242910963,62.58385260813874,61.93898218644037,63.45672652517948,61.14518011081094,60.94741647850451,58.417931923077994,58.63710429694698,56.05822092456097,54.86680976382919,57.02706791885155,57.10982923073734,57.07106092520958,59.24088078410732,56.76467972505354,59.175313670216255,55.320056137434136,52.900360438048104,48.33265923133402,47.65574584568665,43.55590542107613,46.28647025847347,43.50550545170826,43.78290331604795,47.24319754712064,45.583870813627584,48.80539163690755,46.2072066096368,49.65677939282578,44.543024400555694,45.91148909982901,45.18399005511379,40.65409713917941,40.79921360461042,36.54138555522318,38.60160282310773,35.545100259998485,37.21925292222876,38.05166672113475,38.519790065255485,41.94062165958869,42.6814569209641,46.97340610633533,45.002416696837734,41.86269376133958,38.92913283890707,36.725855149596164,34.830320349729,32.49074958206516,34.47391038262562,31.670216923357785,36.43586653191116,38.06005009408892,42.95977820752322,41.527072230790566,45.25172214862032,47.288560116128934,48.43778954298634,45.18803681477063,41.95498386382155,38.97256879352985,39.21440667449269,38.4865783663211,41.707632554397954,43.22487012031567,48.01470551688288,47.23065955275478,45.07228248928649,48.60233940852504,46.63134244169163,43.5062806041789,42.270532380272186,41.22838980235187,37.77182962038227,37.924433807348805,36.248000778239785,39.438236905549445,37.13269686602016,39.84104407885955,41.628571505496474,41.07652900389266,41.82194742224388,43.80857446794508,43.433312172350846,44.299981283333636,47.55201538168733,45.85428673831004,50.34146865841091,50.50865493450416,47.68765409155275,49.3945349709218,50.70823420023751,47.273055795599255,44.58562413638187,44.81977103604566,44.11378948997286,47.868168295360775,48.816250950491465,49.94849898245249,50.445056327869544,49.32487187234112,54.12865577802243,54.162006929907456,54.41852611965183,52.93112030749853,48.652458781126185,52.58424915403534,54.92735380211644,52.838016117464846,56.66222923519506,56.2599910228709,59.949559847580964,58.73569532304963,58.844942442248865,58.68976431516154,56.234000379963966,53.95823558802656,51.03857061445435,50.27001688136608,49.047302694251314,44.246349160116225,44.25009092978955,40.274086605616,39.405070656994056,39.6425348612211,38.3871366085113,35.7480135108961,34.4965151483952,35.36094340837142,31.965898049188773,28.8293752363645,30.510952108833308,31.317261480709544,25.958380674343225,25.033924517459237,26.069342520799072,24.0014657818481,20.50948443294895,21.59044926855067,23.301307112387168,26.08640798609813,28.40189951942499,30.229269517737844,31.78071120268186,36.78641396153329,37.8335689686899,42.114021416581984,44.40100542191185,44.22292382245057,47.429889346890434,46.464159270727876,50.685583965418644,48.396024475881916,43.85807512451449,47.8649496685803,50.45913976327176,46.26427533326467,45.52375790257859,49.44563000034909,47.999579376166885,43.59248183985456,45.36621022297037,41.17205523375271,44.84121279159233,46.64726268416271,44.26076378356234,46.60559329059228,47.41431035068825,46.14964580995318,42.728016217747296,42.05832664258358,42.65301304121053,39.417669812846086,36.76033043787426,36.97450882971524,34.86663876438649,31.840938002291182,34.60215287594059,33.708799402515936,29.13573162981954,29.845960298508707,33.012494665053595,33.232875273308736,37.31133135479283,38.61101461429042,41.77270988112013,38.186194294473815,34.63805129794809,39.59557434535814,39.27704057216261,35.76141922126297,37.07114517415242,41.922290532493754,38.889126725640054,35.20312356804657,39.3719931652271,42.21315598845389,38.61508236178972,36.009313128974995,31.70445089322141,33.81520212496661,29.581903543810277,28.14702554585787,24.881373210952667,26.396141750472406,23.32489533236655,22.523676727254177,26.101233664732682,28.80250885809835,31.409443689592745,32.59057189493623,31.787175982838498,35.82490432038322,33.54136597589487,30.290275331282746,34.02871683633779,33.28691324462738,34.28398466459547,30.746500150576605,27.97696610759988,28.705670825484713,28.77169664433222,23.73389611902754,23.926235679812507,27.008595013355112,28.90582485929168,31.891424099090383,33.32475415393073],[15.389830261634888,17.203979004099732,21.567895223567163,20.7334099128428,26.59017244468397,25.89902682195686,29.655670312308768,32.653083620599084,32.00776343881563,34.829078138207294,36.98820631692891,38.91945004899642,40.1348145062357,38.31921313768088,43.057217795004455,44.79747040729447,43.7591102326719,47.98969560112509,49.952906116880804,52.63038251043329,55.73464500657054,59.31914806045108,59.81138169759906,58.57267923489679,56.01892818628723,52.16923464458182,50.40669446461239,46.80102156586035,47.84639032421005,47.34807502898,50.28803951637819,49.422293666657644,52.5203093001596,56.519554389745146,54.56727516242128,53.12359140309805,51.864350865586694,52.64312404206817,51.98884699812219,57.27598180700565,54.30972209307398,55.91162998939093,60.170593781430355,59.581621820729545,60.93207722638579,61.28048056047698,64.69752123592221,64.33442899643926,62.149995052048226,66.39344138164994,68.06871770592396,68.60432058813693,69.09370734360891,64.33298636124256,65.92135748151227,69.83922038386488,67.35007775572791,64.72389014777266,68.62209759632722,70.5906942368441,66.1129622104553,67.07901550574633,64.72064105577039,66.1733809964787,64.10401777443914,60.55701749868444,57.4207350604881,54.33887088636837,51.41962805261473,48.87822555000939,48.127697762757016,49.986159011782135,52.28943526244846,55.777896029461445,55.388976775709246,61.46694770369362,60.60763587541549,63.19662090272,62.25661818334467,63.45931314564467,61.09372073191775,60.51580172632361,58.07599194543774,57.92332637061024,55.19774138466087,54.4052256567777,56.72651963763749,57.14400057780038,57.21372645322396,59.82235064340425,57.456715357089635,60.149885674842125,56.41845946183642,54.08954659325449,49.42244237072478,49.09541871194156,44.86151987693873,47.457734169097655,44.603373126686435,45.03308257244475,48.001072345240765,46.06676476626776,48.97655626495086,46.06172287226531,48.99795522802908,43.75446301623664,44.93938785423663,43.786801050518825,39.24172065755741,39.87987530073255,35.63851797797428,37.78978783440684,35.127063647874394,36.4622511234672,37.75754719537353,37.868663526596244,41.47484803810852,41.8757594036359,46.532760637815024,44.93593744215037,41.77270173984481,38.925630200790145,36.21726223855081,34.30338794544615,32.05460891215333,33.38599027392088,30.628019029087383,35.150538835906474,36.564181693930294,41.551108111264405,39.54363510328315,43.29463535893234,45.223828281810846,46.82550744457601,43.321779829299224,40.334694190269474,36.839700553202086,37.40031145228023,36.80319099859583,40.289321096691204,41.70261878909695,46.57161351935735,46.1987546663045,44.01905228013491,47.6546087217326,46.02993638133993,42.82137272031234,41.91220940726078,40.83540765604184,37.752330217942834,37.91077468695285,36.84966782677115,40.148845527556134,38.495417432876,41.19096769575672,42.52952124026475,41.715918134412206,42.06177998580863,43.97240684345511,43.03330235367499,43.44338682864272,46.9301428697135,44.72504832136488,49.265726516395496,48.9197169900274,45.75977446381846,47.291432679774104,48.2809519482276,44.72729200115265,42.275064591374885,42.682364069093545,42.35129086353867,46.35895214370206,47.61624540208579,49.093891992413006,49.854843480772814,49.092995899140845,53.846282273085244,53.49963986632198,53.63021389071489,51.71983249428553,47.552742906148836,51.068763767688964,53.177896634884945,51.117886402864116,55.14199368683172,54.96214863449977,58.45082789437937,56.95610063813148,56.89767177283293,56.485109010449705,54.166874056835766,51.63812038727223,48.70563296749802,47.8834047420585,46.45989265938466,41.713427182917314,41.81786708307981,37.797330693515825,37.438205145967274,37.552794112510085,36.821385654775376,34.118048482701894,32.34272054727372,33.5348399740401,30.53835039201324,26.70409077278334,28.405772232171184,29.99916313898102,24.584973021804572,23.160835186301682,24.5555142929861,23.178064115210127,19.100472214978584,19.725346253214198,20.86264534000942,24.099891086373304,25.26924762145973,27.589904613986818,29.455299520260223,34.222253608951036,35.712321969586164,39.629354993952326,42.26345049781948,42.05430024091011,45.39446567074613,44.59488883819104,48.53567573520113,45.9923146182188,41.45937979881227,45.572095485679746,47.79074857951464,43.42171441955834,42.843543497210085,46.69210754204707,44.8425354455088,40.46047617146936,42.50209593088124,38.528165121399596,42.691692375436034,44.548184162891054,42.41207689169878,45.138550105899064,46.22686321246161,45.17912936837241,41.40816412128217,40.968647471594004,42.02693664886985,38.671855965586616,35.74050358881381,36.4591775516579,34.653451454133986,31.195685877170458,33.87033506246739,33.4939757142733,29.047372665819402,29.097932820830614,32.2365112903931,31.96167276055144,35.99807708818601,37.20493151952554,40.07306953465571,36.37809875904779,32.72109118131489,37.506718062297935,36.87953910821595,33.28213913006643,34.48244084417089,39.14983945864254,35.82489627507082,32.097585378632196,36.272575161553384,38.885545425967656,35.068037344702006,32.43505063931393,28.19039310936987,29.867971879259475,25.549084327615684,24.4193186600068,21.346162887619762,23.478162987712658,20.96374637259878,19.395137155009305,22.94207697928572,25.251651952216818,28.152213369412383,29.731615446779127,29.47391066751366,33.70487427035268,31.84898098942217,28.870688037576894,33.110065431249005,32.64681205464533,34.093493060431186,30.108547354535904,27.419647157000863,28.898274693101804,28.785187904687692,23.548976177475105,24.6115390200597,28.007346078205927,30.159855273872484,33.11766150651075,34.90248196406359],[14.858629718744965,15.934523958434408,19.7777830256138,18.507715817260717,24.209507040764343,24.203654606939608,27.85072739510545,31.199583754826527,30.673779078452416,33.20013338425988,35.60349590256906,37.74537230807579,38.47174329584705,36.64151473567913,41.53179329381708,43.16617130148782,41.79426962031562,45.99919735876616,47.739382179453735,50.37034239733741,53.39288255763959,56.87641791921636,57.30805357155919,55.92560935203526,53.39632096528213,49.64374127422649,47.9027661094467,44.42851434376646,45.72670252310514,45.45084016678528,48.655088780852545,47.85744551654752,51.16194716748561,55.01725419200345,52.86278591191122,51.206194088886186,49.957843909464025,50.394466510340045,49.56278582696068,54.750436212152415,51.62842563543712,53.40576636797269,57.64106450662315,56.91611638661281,58.15187874382017,58.3762780789138,61.819525459280705,61.58546225696378,59.29997061396076,63.50746670821647,65.32283795014273,65.90598802906284,66.4864010205706,61.70782482253762,63.475802765628984,67.37144548492832,64.83002441484858,62.35385295341498,66.32193881242678,68.15329365516203,63.71815474459045,64.87309409175265,62.67129247184459,64.03367873320283,61.795698718110614,58.33296167082582,55.2759121680601,52.34795467410777,49.41332739352267,47.10137275518442,46.296725983548384,48.273376038267024,50.62010361375325,53.91153380443823,53.62674296859814,59.734834332196634,58.680315017820085,61.43735599927842,60.34224105880376,61.36110599923493,59.04642324086744,58.26294998066663,55.97801488287323,55.62914970958404,52.761455973416034,52.170592352825835,54.49665461344852,55.176038639288635,55.20465121262236,58.11328277406672,55.76721063834651,58.60717872275407,54.98766294670746,52.77755682302369,48.06366446890577,47.96526824774262,43.65652535604338,46.259716158584304,43.440022199192796,44.144355013359906,46.67861284092282,44.754912320520525,47.33561987312647,44.38872517074806,47.02935674975183,41.76755502869979,43.02136567588432,41.63369172982062,37.12130564030123,37.986468490679364,33.68356440122875,35.659070338820534,33.14753908859379,34.15275773816327,35.600183718016225,35.43914635287706,39.098034276296865,39.25579771047771,44.074065786717554,42.73502655706543,39.554379933005656,36.80767604792682,33.80168549444104,31.95321711406843,29.86807740211444,30.89082990054884,28.43415057536332,32.748045058741546,34.17397765772301,39.19169456269926,36.95220810843262,40.81906413101112,42.53419353503957,44.35821506545906,40.604137225644926,37.65871300131373,33.9567002294156,34.50214228182085,33.863220038196225,37.46493265171225,38.72942421938681,43.61598227193726,43.45953178302001,41.32120149321109,45.03225956101491,43.635873741750785,40.40539384057944,39.763488318251085,38.78422429040374,35.97421999642031,36.32263941578121,35.6508186813214,39.17090820786181,38.01105407053023,40.50988268837248,41.494737185398684,40.39134667730307,40.57835776549787,42.27539801366718,41.104863564000155,41.128981679627685,44.628922205014376,42.09919780021919,46.673791047261346,46.077850729261975,42.715729714247274,44.268772664805994,45.08909527876323,41.55442328222697,39.13525923259193,39.685010418523184,39.470070922694084,43.64355084305514,45.09532608262205,46.754375730030695,47.74205117167421,47.10625405150251,51.89399458110247,51.26313187104906,51.41279848743332,49.213653463118426,45.240680300662405,48.551906511900185,50.51675943534642,48.388066897716655,52.402519923513154,52.25018047128784,55.62864254148427,53.960163561629344,53.91312502795248,53.42309773696179,51.22028803363117,48.649164775711995,45.77343110620281,45.03345417176098,43.64153181474243,38.90147860845329,39.225168706618675,35.30480912885934,35.177872515138944,35.52261248895143,35.04314034582658,32.13749190923415,30.29781334017642,31.901422167093695,28.988372046352517,24.678364163251466,26.7684475501858,28.92789764903058,23.291785393631844,21.821991927089094,23.73699420760217,22.550167955633068,18.104591906314013,18.994497072719724,19.546231637776096,23.467211589396793,23.684065391830437,26.111884242779123,28.417038261737684,33.03569929222414,34.99867123131348,38.52970241690078,41.220874285186255,40.74538626562413,44.028730275688034,43.0848171901705,46.88773317803465,44.364831953256335,39.60577571281072,43.64804649931972,45.77656396338791,41.296155629360335,40.597535541522646,44.31776573014846,42.40285514178293,38.007521234408486,39.85548901260767,36.15343040086507,40.44179862071054,42.48441326428202,40.66457680337105,43.53662841279295,44.96453662029266,43.81404750040132,39.84572234168159,39.83561114958352,41.04476632537053,37.44098393258943,34.577251073016804,35.74967568322555,34.05393152687328,30.390212848553382,33.302596022037605,33.291287034974914,28.84801606117163,28.747645327137178,32.02508103869321,31.367765981073717,35.25962235558533,36.13664221813668,38.9557735932612,35.448027209942445,31.44412101585882,36.01773678957825,35.46006740815055,31.818227274138163,32.59943528049003,37.355524875600466,34.087240499729766,30.04808979401279,34.022307411412534,36.794799516941154,32.97081073278201,30.108840421386116,25.758260394727994,27.439482086579996,22.96028831375795,22.365137273930696,18.957049962586442,21.35307297412037,18.91750744986585,16.766859243242163,20.217661622184483,22.393643086171245,25.30952338578437,27.254872938441377,26.963093885051958,31.279383269631307,29.44445190140849,26.864590257532427,31.448625577464917,31.35914452106779,32.846894664598636,28.49821190588773,26.201548157005817,28.06341700483461,27.469664907199693,22.371355085960744,24.190790805805836,27.55834021131394,29.70654636106946,32.509159832003746,34.513136257885506],[16.974133909735073,17.474748316436408,20.72908482754474,19.05100289168611,24.456631748646394,25.18116652131247,28.63830244473071,32.300349984650296,31.801758595077114,33.969713008924785,36.53571648312986,38.92067583956585,39.19158579320646,37.243058042660486,42.252898747797396,43.844172583834755,42.12134603864323,46.22936964064869,47.636711233709065,50.301132123926024,53.16077556780689,56.56453517893975,56.84838591800995,55.27107029272471,52.856609837602456,49.20300389287659,47.58691465005229,44.2962830588831,45.89859109001505,45.91262981008919,49.26961932032063,48.646712218539285,52.110123232207094,55.79393187031491,53.48627357035145,51.59024022249531,50.43249320083643,50.460468036878595,49.44352813523391,54.53415502453689,51.173125463596726,53.10257160117415,57.32309863014553,56.45827476576891,57.496236411091175,57.55453136593037,61.012190183288475,60.99254579132568,58.60629965855864,62.76135208245732,64.77408810566254,65.44889404282884,66.1413096417978,61.32863122208147,63.341952085827025,67.17809823114376,64.53552800779366,62.254371555420455,66.30050840822435,67.93167886030078,63.51225097848055,64.84569158722461,62.82184764596646,63.99953014228699,61.61407218292874,58.29534802225846,55.22752620675724,52.508138895250006,49.462964787797425,47.41016549781207,46.469642339364384,48.455855244309596,50.946898894037986,54.047265432972274,53.979347498746904,60.10931861024531,58.94215939715257,61.89488145096005,60.69430900256304,61.54559199214627,59.34715078349045,58.364046714915496,56.292636373148795,55.737238010218434,52.69392079456569,52.318932595999605,54.59045132935798,55.57635405085736,55.479027598834726,58.687061615626334,56.299774713997046,59.2129294131676,55.71429650332104,53.66442079158814,48.93043209370542,48.984508302581546,44.632684624523954,47.34813419806564,44.61603542146711,45.61018219673591,47.761853136089286,45.91281929511073,48.16339684287728,45.22838049342679,47.560617583939276,42.3018184248315,43.60305720676031,41.948816219298266,37.499047022964675,38.629806400701156,34.3047713526315,36.0707373394592,33.71574172187844,34.317556928675145,35.83931809248308,35.3254462655745,38.97497963325544,38.76252235322644,43.68330713874862,42.69923560468624,39.46512190779136,36.90185444043111,33.57678288776819,31.92697353421093,30.13226135259535,30.85902422664994,28.842808547829126,32.86666795067621,34.29054704816041,39.31044814162743,36.758470921127426,40.722805185493364,42.176039660872796,44.305227294087125,40.24870558199227,37.383725051825465,33.40111431805683,33.907234652914696,33.148380841753635,36.88992013901982,37.8118426316942,42.69499492666759,42.84682468525376,40.84053006202394,44.667479157651016,43.569568002196156,40.34014223679881,40.041240402854484,39.22315308208767,36.708342946981105,37.28194790480192,36.947108836246365,40.654872325490004,39.86703657447746,42.179387195392074,42.88821410376706,41.5190783880047,41.60021558341403,43.0494484522665,41.69336296680991,41.277166470723934,44.73422134592556,41.80838742386953,46.41651248105514,45.50016114181396,41.827298914482625,43.437875331817786,43.956332889688,40.46440309821418,38.12163964601596,38.91718945242581,38.87421462024447,43.27386563128239,44.97843529465641,46.84611192673095,48.09896004061608,47.57186317739161,52.399659052606694,51.455112913162395,51.64370478951562,49.10304322627062,45.39134525793129,48.430438811305486,50.194200113226564,47.98609689042326,51.96698269296234,51.826016147718526,55.04279763412338,53.1071851623926,53.104003073324456,52.48924310439699,50.47811739399901,47.83730972234809,45.05191110295426,44.408101490204444,43.006388590819896,38.323370471031424,38.900071587620275,35.09243374822489,35.32883474889562,35.81510429999025,35.68608306753363,32.643742769033786,30.623299824308663,32.59741000093208,29.906269846461143,25.127981253821208,27.44117684484394,30.15958794028703,24.495915920431997,22.872374749519693,25.121186698494466,24.274603626038065,19.616279531541394,20.413479023532272,20.429008019610013,24.71366031270065,23.90022397751142,26.62397430070363,29.23413007477067,33.584708137563,35.915773831297386,39.086607709727765,41.96124156512164,41.36558711445543,44.65699165438589,43.7177534932824,47.29933574773196,44.68735766945374,39.84811447237765,43.85934127681467,45.74388165133971,41.14188614923234,40.448960310580304,44.01249927894352,41.859848150153454,37.50485661976512,39.313442654056686,35.96624895866271,40.499483511133725,42.6856196337716,41.18409276604022,44.25117196424905,45.9603409829995,44.81489579399655,40.65762723966239,40.97387622148013,42.38353198095872,38.63137324217177,35.77137450011996,37.31028900279977,35.75912974874389,31.931482457459314,34.896486581630576,35.18750761872633,30.832386397393503,30.488767380902246,33.757645303064834,32.788442029195686,36.55541931191332,37.24033521717884,39.89169532419386,36.45504777857474,32.30647562866031,36.638315545448656,35.97328518188965,32.31871438674115,32.814006493595556,37.46453054319551,34.08687685781252,29.91888989135079,33.71916190081326,36.412164820452574,32.47001878475788,29.496659132492706,25.192316585693867,26.49164193779913,21.902730323864798,21.936023758198722,18.579248067617993,21.47238955958902,19.425937653919334,16.528830088108325,19.756632044454896,21.515667356444542,24.565337655961674,27.007749381562245,26.894180204317582,31.283592886512725,29.57508731067685,27.465479196455156,32.357648224635504,32.59486635989445,34.148893240846625,29.51445050461122,27.569513283186726,29.749547216337373,28.770710630810708,23.865055481859496,26.2260040823469,29.532368442809428,31.641357394436927,34.29226879707881,36.42007236372028],[18.997668789839764,18.869802940270464,21.343891089095948,19.71523641159939,24.53163125741383,26.257584381701175,29.59621084337671,33.51369541550248,33.3330214436522,35.22750937652185,38.04989421037899,40.53618641896023,40.29783528045817,38.464352061526725,43.56841320302516,44.9713379553215,42.89339310447654,46.952612599091545,48.088005327433976,50.61535251504122,53.363872363096434,56.56751233549779,56.78966041624565,54.998312777074105,52.61720646216281,49.16582322431939,47.54997840726059,44.485603744203196,46.39908110039363,46.639911811213494,50.367220192107546,49.71962883977542,53.40058750865521,56.92937643646009,54.37333641911044,52.2731573935797,51.04382438332579,50.680050896864174,49.393972386102654,54.2186934940691,50.725866058825524,52.98498791418235,57.11173275921357,55.99928242446676,56.87591219284383,56.68811107879495,60.180612300998234,60.36283968109348,57.749530786459346,61.79416170134434,64.05212725358074,64.74071331550333,65.6084832393143,60.838606942188036,63.067319999711344,66.89797388716437,64.2556182921839,62.198905814343874,66.31280815727446,67.7781359007429,63.49271990803293,65.11260384204496,63.307244084451085,64.40580179494282,61.78656780073492,58.58397238445943,55.70142107112904,53.193314230518425,50.192762903877046,48.443607246015766,47.46485841075671,49.582914400446555,52.09252091852681,54.922592522037974,54.9512546481967,61.06872895368635,59.62759418246885,62.74371488383752,61.31935346006796,61.89885875002662,59.702974401682525,58.406918665922234,56.46868001061495,55.59806424447484,52.43924597448375,52.41693215829829,54.771888805940264,56.05410519818442,56.0151735642733,59.5632979790565,57.275034274464,60.3744331033817,57.02023621861372,55.082764682091494,50.33586931568714,50.65649838963575,46.270739630735136,48.86769130870899,46.14205649706908,47.27324034462088,48.98848811183276,46.99303506859587,48.9227046298173,45.811729015992725,47.66787863678497,42.40108307372582,43.5596421307944,41.54943396329667,37.19738416237718,38.738488336367844,34.52618593975476,36.25713709034165,34.296353056403525,34.53443020576233,36.38413394776532,35.5384696622388,39.24254560418854,38.69629847146164,43.82888944331216,43.21540166405966,40.02151393109564,37.615474100746994,33.933259074418885,32.35728078317638,30.753355886339467,30.87751771680475,29.08288670071015,32.704438324355166,33.925914955481424,38.8960619700808,35.863071336873816,39.80169432197203,41.0669163105503,43.59835981614006,39.328072740350066,36.7364730325623,32.35242888077845,33.09932901953546,32.44075493081027,36.34336075474637,37.08382583069252,41.94084085253645,42.49069790765491,40.530036510895,44.396507104677205,43.64873240870522,40.4172155806907,40.44516592409375,39.652621300641655,37.53298648053839,38.144675220422045,38.31146900253323,42.04933082041041,41.769153833900255,43.99884831820846,44.34938375168158,42.777449257500855,42.559405285285955,43.876541669601835,42.100207803799776,41.25008021455164,44.81247923677991,41.45852795223787,46.038653753047384,44.65608559879914,40.689563737957066,42.1452145510371,42.30998775497519,38.77813539595516,36.69271575300011,37.68598075890095,37.99765835943606,42.57908458930123,44.55968259950674,46.711118549119384,48.20420181069134,47.971942516323054,52.705437917242534,51.42246398831848,51.5248158515234,48.61674105601062,45.10955022753631,47.7195384714936,49.22908494679492,47.04947266662875,51.128757009128485,51.165140485589816,54.15057197120158,51.9530695940815,51.824876501575744,50.980270481908164,49.14886215106068,46.318656850030386,43.582862928036775,42.93430256195305,41.392280730107544,36.843059935407,37.57482094000377,33.849142788115515,34.594476831287466,35.03452478718859,35.40723544549239,32.35124326506826,29.947245828703007,32.243977462159954,29.993600845110613,24.73040967233148,27.061739972053882,30.436285300708914,24.961654584079323,23.03676003049598,25.55394629229477,25.302337316272222,20.498603178034895,20.934898651056653,20.303040139688537,24.839328647055826,22.769846150179152,25.857236189727274,28.742566020661815,32.68680370079411,35.42521132415802,38.13124729218166,41.245608988080456,40.57458648810745,43.89882694817679,43.07798040343687,46.336617391308316,43.55936586034064,38.75878537720877,42.763379900966484,44.27054526508994,39.559716348987585,38.988725109636384,42.38470017867742,39.87770948625513,35.61788978800336,37.57588883686375,34.59224659951962,39.49423078092412,41.734582597226925,40.552131814961,43.89689743626303,45.86783936616094,44.882019595321616,40.49883573266275,41.08086026945337,42.832065354578916,39.02632478284632,36.0573550886701,38.009803723959735,36.730529751421685,32.68767862706567,35.53844178222603,36.242251138865456,32.11416508773868,31.31228335237951,34.467744726863955,33.10097123441113,36.68791039917862,37.21386178445793,39.558388370616356,36.16461350312728,31.979273677823254,35.98266088023504,35.09118068307056,31.465389241255767,31.729829551140302,36.11481995320577,32.56674757679171,28.390203048270997,32.01615815256257,34.474186655855576,30.398498516289074,27.397460966533718,23.270893129501346,24.016668920315936,19.414973853339667,20.089670772264068,17.046109361429075,20.52472609908747,19.214265315668882,15.54769884340341,18.40139171299469,19.518583155817602,22.766177802486855,25.677032572301346,26.06706667621258,30.487392866444516,29.206481454559615,27.53737456521157,32.709488910904504,33.23085725770317,35.05565635660103,30.190592086801953,28.4819255580854,31.14646918168119,29.99369776536987,25.236164109552742,28.145675373991757,31.495754648272325,33.68711851279161,36.222207853293305,38.54511699159415],[16.172175723076222,15.276512477613974,17.03558572918093,15.350505605322917,19.825022601198057,22.050401401053822,25.337758355980142,29.342855021636364,29.512054956735273,31.358220475773052,34.39135656821425,36.781554220243116,36.27780557728884,34.76004405498671,39.868006123416514,41.038039798826276,38.892663472895876,43.03877118653525,44.30799228015459,46.58036496637393,49.45173804775497,52.51756993754774,52.916858243176705,51.175628910707374,48.61348196592053,45.253931060494196,43.41339199298146,40.34718286922019,42.24747766106202,42.42199722244683,46.48221916292452,45.596529011004876,49.40531511585994,52.90926759692479,50.191456924066166,48.103538023309554,46.68256789319869,46.32892641601575,44.9682763359753,49.66254249321417,46.32470176126798,48.75005340526783,52.80297019885107,51.61877927122857,52.627042071618604,52.45187550283459,55.97705020828613,56.02713219061417,53.345095493241224,57.38172370756712,59.58993275875547,60.18187904310236,61.058054542050996,56.358502007556126,58.49145986184765,62.38747091850243,59.86813794753747,57.787137288057004,61.88004686938111,63.43223921321598,59.26834634254458,60.99516475157938,59.21783624594249,60.49918924974787,57.775045760238356,54.49187346357014,51.89433350726731,49.35472751317031,46.61425598040614,44.924938114310216,44.12660092202788,46.50538356191723,48.76530257066188,51.463128057952034,51.26980880848068,57.347477786580875,55.64902935155114,58.727862582698016,57.134169814770075,57.5881736615963,55.2576712010268,53.8522584556328,51.83939004896363,50.884244929916186,47.77905757898795,47.85384421024419,50.35706714032384,51.631288417539245,51.803107477047334,55.43142209543505,53.3308691418538,56.62072026577318,53.32147589598442,51.34644678055267,46.599761640174584,47.16499339441439,42.773923560300666,45.05251845409254,42.25759372680878,43.37012413797097,44.80826117635115,42.64756628463817,44.439287300885496,41.208162335251146,42.894027417736105,37.63084008680794,38.77697835525984,36.70944103225837,32.382015906401456,33.99396407708813,29.813403501431534,31.553387450223944,29.80364174420012,30.010120671374008,32.15875061042114,31.34677855557891,35.16747668906046,34.76775601508219,40.07397500917019,39.39395804423688,36.34199023685334,33.856085796714645,30.118343557637044,28.311401843069245,26.56741324766478,26.328732843448893,24.41488125472948,27.92427630454725,29.07453915943066,34.03389609987675,30.993038739441126,34.95195447690141,36.224505536566085,38.720342329216976,34.48895490260308,31.938416157992343,27.55351736844259,28.45397120982039,28.023544399775982,31.92281159431016,33.02064260348229,37.89215901466213,38.400590667850814,36.26586789937121,40.03130818229059,39.27624231354697,36.02488378379666,36.02732563217961,35.11872048837546,33.165905240784085,33.709566684600894,34.195949400297316,37.921912540941214,38.07500104544261,40.21091622927911,40.27410081534394,38.61348122004645,38.168321145655476,39.48764532612683,37.466029161079454,36.55609842276717,40.25173948826449,36.90357121866921,41.44363430304373,40.03656292973162,36.20823472965637,37.519250051506496,37.84925074657775,34.245288003687726,32.1611156365295,33.00611757636446,33.34225346092771,37.849012496601034,39.80410747371458,41.99464843656471,43.48590469090615,43.406014876799475,48.046194769276426,46.71643606608873,46.74413610258059,43.830590190629806,40.28070672889461,42.85564549489294,44.389162425584594,42.24882519938943,46.401381191526305,46.53933842419629,49.54542016819917,47.473031641212664,47.227779928381786,46.409779935317744,44.4693553931982,41.64154596584945,38.85585766510463,38.18409489426856,36.69816936782439,32.09421029639497,32.8353935760285,29.158755161014724,29.82521632738452,30.486247017552895,30.84882026454557,27.671303499653586,25.42206075150459,27.9561979760509,25.645254065429143,20.242097888999567,22.968635184014346,26.56800424422785,20.981232577736154,19.269893544862313,22.221965160662947,21.92870446072277,17.107709067820434,18.112851754966776,17.035727462870376,22.144971663698968,19.76722778020158,22.42826890850444,25.66289075860549,29.60647096359742,32.662488197263954,35.101280234147836,37.93666474788013,36.910671544928235,40.04682976181364,38.92815704868776,42.230349402186036,39.68591692305322,34.601633604000035,38.45827860615291,40.180567834270775,35.49309026394738,34.65365006100324,38.01843757364873,35.812824295163956,31.48134397049573,33.071634681697454,30.09217087830335,34.81512122833419,37.17426357631355,36.13771803745196,39.429235483167396,41.60389871951222,40.44178473913573,36.01754718832775,36.93242535964384,38.65924718344575,34.68358667902229,31.889375393040993,34.139935439775165,32.915921168646044,28.836552497081897,31.953311889526493,32.897005655530364,28.820744029837424,28.08991156936081,31.397546160465552,29.801386059011335,33.17709489998087,33.3233237559711,35.7808515251666,32.74290321482731,28.182434121459384,32.019360818809425,31.483491513392416,27.876993817799747,27.681527324445938,32.36586333806461,29.222672828515925,24.64045663991482,28.029548366253422,30.978875133189494,27.19683184187209,23.90184528152232,19.51267975159068,21.014586432271443,16.33041155073743,17.233111412684373,13.340465319446475,16.474476630532887,14.9252102436719,11.093044989071302,13.863942464002466,15.292196730061066,18.293008381853205,21.187909112428514,21.266240545716013,25.676240652289508,24.362474115256756,22.867295001388165,28.144501793368608,28.905751146413714,30.730408349676786,25.72823799195421,24.329144062061623,27.241229099245615,25.83847759861822,21.312286375728508,24.75992208359729,28.010914970604325,30.2130212346514,32.605588782464544,35.11880164594213],[19.692455870442945,18.555890557130418,19.841181520366593,17.206297916073684,21.25081038168081,23.878219260972607,26.665368470138784,30.95445294184289,30.78639943355086,32.04171999094411,35.07978271546451,37.86599566240611,36.88487557893805,34.989422191311576,40.162683465433716,41.42065835782282,38.875810713302364,42.76798008035823,43.518712638837215,45.99038499211434,48.55618822459971,51.6183351034569,51.72537400451341,49.766524002205905,47.47124482828407,44.168308862631086,42.659484980810866,39.8389634174811,42.10046738612865,42.719970233033706,46.65867675812109,46.23425777063413,50.117699961420804,53.34756751315918,50.58150315287141,48.17611703960979,47.083171742174464,46.1855605892086,44.700861938793,49.408711060655065,45.662252421873525,48.050492981697055,52.13138850249233,50.903540462950815,51.59590859908082,51.29722194843856,54.784435628752036,55.13293943466244,52.49537974651398,56.49715969818733,58.88595180421765,59.69026207511769,60.629440239018614,55.830880406918006,58.303555561603225,62.02326537220851,59.27031787268677,57.42712167503687,61.599844239958365,62.84001922156734,58.59151960413412,60.411357027389165,58.83050826021586,59.74927750175843,56.95227782695529,53.91664818338905,51.11617005066498,48.87083348954058,45.857230281591626,44.47744965987652,43.41793869063822,45.65540170792519,48.191990518645724,50.69925900149455,50.90655870107512,56.98568125466013,55.33722133637451,58.671049845280415,57.09299740563283,57.44940081048119,55.4262544291294,53.91636705423324,52.30382025307139,51.231218586691696,47.85754479093788,48.044240703859984,50.27454561867862,51.940873798497215,51.7320077215327,55.653356704816524,53.364246461951836,56.58822291138562,53.44731919309526,51.74429130742004,47.025289079483464,47.642781225438505,43.25503123248629,45.893094224310424,43.34306532544358,44.96404260082107,45.98896096805147,44.233513328833396,45.577034877014995,42.66422017919101,44.14926320106302,39.021073458389765,40.466682803280776,38.231963465765624,34.067837106974785,35.76531029945327,31.507785926392145,32.67243418649111,30.872293890603554,30.48760079170547,32.35407563069262,31.062779226194415,34.69702247948623,33.757479397337804,38.98403304191453,38.77389021569113,35.61086563823052,33.45525769166173,29.43106218967735,28.09653648289161,26.932925063929737,26.67999290621553,25.75686550119608,28.858892088027428,30.240943757936314,35.10761775829442,31.973194065250027,36.12736133019107,36.88941246121422,39.60995711725032,34.93487982722914,32.30222819553973,27.8269424532166,28.247239470355762,27.365017634401564,31.331134642891946,31.713556772412385,36.51996009841131,37.34623069976028,35.53621557438917,39.48142094529324,39.082909519564424,35.905541408355894,36.38756244878825,35.88394704848962,34.2351014858605,35.28301228147393,35.94269956530967,40.00173971120028,40.395357799461216,42.15277676146019,41.99914395526217,39.976693651053566,39.659227753760874,40.49662032599127,38.58903857699202,37.11421254966714,40.481279813130726,36.70484226249568,41.28130150295536,39.64295708666013,35.41999643763145,37.07118205043388,37.02788312330749,33.66866316782967,31.492799530340307,32.75030532462395,33.08137296082933,37.86558144971438,40.09868311808129,42.42919521904112,44.275050135538585,44.09738474862466,48.887679763524396,47.20144565314751,47.44315250660962,44.15796211837132,41.10218621530267,43.47598565264736,44.78296940419883,42.42029876465112,46.28477143916003,46.22074739313299,49.057067644991,46.64304010309888,46.67813793632409,45.83844292900696,44.20963613242932,41.49025047898842,38.94050772847922,38.56782254047898,37.29875302445334,32.78474035866489,34.02093804786472,30.688290242175118,31.609635913084556,32.72979457584841,33.29964553946865,29.892305341991314,27.835636890776136,30.797585896139772,28.531472593333536,22.922852959782816,26.063556526980634,29.96556367299063,24.333611817274996,22.814500918542773,26.010439515039685,25.671168678074064,20.892543383319307,22.138791037486488,20.804432673661626,26.080515388763338,23.044590695256094,25.74598682782546,29.213446719565827,32.87705921433533,36.205994359396065,38.29045897611628,41.168094748538614,39.928721476402075,42.94223377368765,41.6653442291359,44.76837995044418,42.3021744236497,37.052814495135145,40.7123070811949,42.28896295100837,37.5413470442689,36.53403759314993,39.60180043733844,37.324975380795614,33.09279081295274,34.24944337334802,31.872506681248232,36.57142312618341,39.196935229178386,38.609998049059286,41.9320518985367,44.44093730083236,43.07285105463334,38.58527587602581,39.96999417141128,41.67649363457983,37.48676756210371,34.956190902199126,37.48476943676148,36.263704029042266,32.216680404396584,35.539323243352165,36.610465286284814,32.52978151548282,31.908205284115635,35.26366686125188,33.51951011851632,36.725225671849785,36.58433144013492,38.98875305225738,36.18796503310978,31.449000668407322,34.966970623095456,34.52279229354535,30.986174231095898,30.321333877402527,34.94274262013005,31.90500861207832,27.151623548504105,30.10495488312371,33.10874598097295,29.365423399578795,25.910810704610537,21.658956188743396,22.78995206756154,18.144671359724406,19.98195918040705,16.17531723191543,19.447322015000537,18.039234476545378,13.831683197714774,15.993092839147941,16.907384963548925,19.70388881332367,23.19914757354568,23.00474989863243,27.314727907616533,25.795714762839026,25.065919755218232,30.491315769294296,31.669978748465436,33.20934758736287,28.003648890763465,27.23775341847058,30.117127948695394,28.07102687759149,24.04619806436951,27.82272392124557,30.76510015623645,32.702792898054206,34.832818095366704,37.3201593824065],[21.08691443218746,19.20979892641727,19.328549891245117,16.368116909953287,19.291902847280586,22.90753127587186,25.231400030227487,29.713643195701323,29.80931956839343,30.593436111233395,33.851631148393345,36.73203528936588,35.10827982637627,33.381501400119134,38.542911684992646,39.550119254545876,36.63435813848599,40.40683935936869,40.89105121545959,43.155359955057264,45.61088623719324,48.442876743028755,48.53370019939679,46.42390477904935,44.12613483285796,41.04676768403926,39.516675453018316,36.95003130402799,39.50115218922235,40.37695218588553,44.65832192274233,44.245590084563155,48.32320605052417,51.31378463790097,48.30819524724751,45.69365909069265,44.57352484866702,43.25098907187154,41.52777809343703,45.976168164336684,42.12003723445805,44.774860555767226,48.74153729769394,47.31814413226437,47.889335462728994,47.423767756028845,50.925526174169974,51.39994558582888,48.62355306121275,52.54010554360488,55.07873637523717,55.90683900805187,56.96135229460541,52.20795002073265,54.85958310331527,58.536890960666476,55.78365007306229,54.14458643648179,58.35716602471104,59.44262336664029,55.331949308526326,57.40437713683422,56.042217775870995,56.90588711406788,53.89676437768613,50.97706963241041,48.42207149154414,46.39902539746141,43.52244707927882,42.48531794577287,41.45084591027986,43.872716188691975,46.314355559828876,48.48425680544865,48.733469028223205,54.73285291925183,52.78342413968186,56.25602247135241,54.45698453332147,54.54137695085345,52.56300778735243,50.780301328396654,49.36586240453776,48.03173748893646,44.537525946963996,45.02336961837736,47.269651337541575,49.238869125844666,49.05365119480183,53.30123621180863,51.1384874002035,54.54662006502686,51.60514774824473,50.05586409048923,45.38965872954142,46.33243895226253,41.98078950687709,44.44241353416133,41.98265020076899,43.85384449029552,44.2748599797434,42.53404697703247,43.40045998177075,40.498285023163795,41.515958457476636,36.51528547282113,38.01913481293138,35.52310959248929,31.578952237351803,33.53468849592329,29.402330945111018,30.22934288765198,28.809457362047514,27.92013115284599,30.023476763368418,28.374974404468848,31.982841568493072,30.74382609402265,36.129925951941594,36.27372385570206,33.243023545467786,31.291261435810593,26.978860541916355,25.750221380231647,24.894186295795734,24.010689184900066,23.673464290030125,26.1618039235303,27.48167702082499,32.17778964532474,28.803890748743814,33.01379249284045,33.4027043813215,36.375540077801126,31.439846596255382,28.965153379402146,24.29773822263024,24.697928021079978,23.83769301033759,27.873444650454516,28.09814335119497,32.83156998996642,33.979843643496494,32.22095689948161,36.15218646592241,36.10293039511861,32.98188948306651,33.83788825313164,33.459336348003205,32.316306376754966,33.55265736250592,34.75742003513382,38.89774737333268,39.92941638054748,41.390897183375365,40.77021207066546,38.45529664148811,37.889974956013454,38.426652202195946,36.20829777501781,34.21247583778452,37.537665476789876,33.376520272989445,37.88249108326269,35.88825743096909,31.452612150361187,33.07129753071069,32.79649984417927,29.50145307294529,27.41745788686904,28.86755164861574,29.3972370745449,34.31524993508056,36.78654878435253,39.335929598130384,41.45243309811736,41.490475866862326,46.189292379716925,44.15077440071531,44.39477435413077,40.77158084792441,38.05555848008189,40.07672318424169,41.16006076457366,38.741411797907354,42.546670817046135,42.551531829835895,45.201949754049494,42.602956533007685,42.61745627081342,41.68271208519822,40.21294222865371,37.47480655447012,35.046929466948484,34.819591229373565,33.66848274617232,29.26677953448946,30.85434126333341,27.857129127484736,29.06744528610099,30.58474363727417,31.45834265770135,27.906802082104072,25.980567780206126,29.414740407346482,27.375940820735696,21.570995233642762,25.12348046518725,29.467375628149668,24.02505769619057,22.72543642556153,26.298226571938994,26.135319739842465,21.56421230011305,23.106694331353168,21.20608979617049,26.774302219204564,22.902674409628585,25.303362804946847,29.118728239817546,32.38894577086594,36.151881257883915,37.653405140455696,40.377894316886426,38.75245534284998,41.52153415184115,39.996034716634995,42.862422634604336,40.59018827435177,35.12499027896443,38.49888623735803,40.00174048844194,35.26493265768958,34.00685440696266,36.77082659437437,34.596591418210636,30.467650795558175,31.096825938290177,29.270459012756408,33.880790276607726,36.73296642334488,36.644959150097776,40.002838771421764,42.90931270945472,41.38499348320643,36.8123839223768,38.77633552019493,40.56069341508111,36.188339001163484,33.9331532678877,36.9288702610871,35.880855057586935,31.839167315358747,35.32724961360847,36.759915085926615,32.89407677847791,32.22336890881407,35.58375396619842,33.50609913756646,36.33480721324206,35.711494281878075,38.01106827062749,35.669480732405894,30.662361498174516,33.670941989066876,33.47606397641753,30.09403217266787,28.741388462870407,33.352712798708474,30.705014029944554,25.669887900333496,28.016327566249647,31.2981570203649,27.863967700881677,24.169929001793715,20.030869432595445,21.314793522748843,16.894367588981044,19.596741548219992,15.586776759407584,18.608697648305874,17.50433681583617,13.055459196995766,14.29613552620255,14.759212985189443,17.089643383023333,21.02125937645785,20.61971813793557,24.72816557857295,23.30993989154588,23.40239800300281,28.933417742810306,30.601952052568844,32.07419076704757,26.71063325699153,26.63238696874724,29.77764250346396,27.233917548479194,23.854465637344063,28.221379742212324,30.879775197769703,32.69185069453604,34.50136431439467,37.14664391366092],[21.515832442225765,19.664961708057476,19.850662792741176,15.70469844087534,18.729962857698652,21.711536863249457,23.510986864010693,28.08105363299025,27.526268053954283,27.850394035006953,30.920380931334456,34.14757133533204,32.40661400764826,30.188113497363414,35.351533266728396,36.599572770793195,33.58170858805451,37.1625583584336,37.419642694562626,40.020010565777994,42.319016763262056,45.37681092651743,45.27320472083988,43.204601377823074,41.09277581843921,37.81544375889608,36.59051274724798,33.99768105130979,36.59443708360845,37.70725881736269,41.53486269498104,41.61728544391386,45.58939391299051,48.43351854114757,45.597875844626735,42.848081510297725,42.14078689910926,40.66503134642285,39.11894863648808,43.92288508107849,39.805010832187016,42.02142684991789,46.14043880819086,44.976521657861475,45.45092441681923,45.19325961392944,48.62435107930682,49.116034859995345,46.68324619094497,50.71910300715974,53.10750508784693,54.13134425696158,55.02203032770249,50.10676650289825,52.83878438433547,56.34641879079549,53.35564015424488,51.68337944247239,55.90399610350063,56.87872125513748,52.522407401788,54.37828157861,52.972299174224865,53.585628408725455,50.73827171759205,47.91458538502593,44.977675738820125,43.013819865184956,39.83987188531028,38.82025875192618,37.58658470922199,39.81497352177892,42.47285993977787,44.69886642184054,45.216035805959734,51.24764006152289,49.58098253704565,53.153191308232074,51.57824625271431,51.84516525146534,50.173328700783365,48.63252634925015,47.49211607331062,46.40800835007693,42.76143176928544,42.93524201806073,44.80120931921823,46.859352232454704,46.21998491456727,50.43976474546772,47.99622336045942,51.19267268887129,48.27922297887348,46.90287255081748,42.26815843750497,43.07546929448143,38.748999191544414,41.658063405388376,39.4568662783219,41.78980958262272,42.10322255209508,40.96861581323112,41.632580069057965,39.29565803353585,40.635785599548065,35.810622689519874,37.86498621056947,35.64913719620037,31.783942172811077,33.29410054784307,28.933644054434737,29.09297811088243,27.151933873116114,25.98050741880104,27.39589426260261,25.578226425721564,28.952141654451324,27.53664941995102,32.662403320978726,32.86863380661434,29.673753494195747,27.880964616736033,23.59042567085211,22.772666052381638,22.367668622918977,22.166010773753598,22.762981876967732,25.26498315988411,27.148749102723304,31.781986830068963,29.029930499005268,33.48988002474235,33.55242070962862,36.16460492498677,31.04354339124059,28.064156887632656,23.95540478254748,23.380520542864023,21.83232355269217,25.71900855967452,25.437845420228523,30.177714585930012,31.112688645747347,29.61464917797017,33.703328647620154,33.599915712023304,30.548796649141032,31.558856460901044,31.612811062803743,30.400296574028552,32.197974965662794,33.136951454380544,37.645822454746146,38.5704429031855,39.621918303255214,39.02633493872314,36.4670471770114,36.33342928385527,36.43883597262443,34.80908739650803,32.676547536163326,35.50094809969625,31.40118923378589,35.992903766333136,34.39597909333651,29.980504534152633,32.2209915914154,32.12456138741404,29.205707707128077,26.584311364383193,28.16146118068123,28.11241251441126,33.06712822068902,35.46534245686364,37.79864591833006,40.02240379477669,39.60097823539081,44.583922864424295,42.544835666890236,43.14241317617155,39.57836819646036,37.16223252092629,39.5409881261833,40.73053329190074,38.01933482172412,41.34646526748442,40.88040345790665,43.67350555971711,41.101816655669325,41.60185641652739,41.00986305062004,39.60489059629496,37.30828548783051,35.08622258751443,35.21832257807696,34.57342988963465,30.1026060102061,32.008211206211804,29.327202417202308,30.03783864701969,32.202132847154004,32.613225587283274,28.790798237687714,27.671002003258813,31.193566948355695,28.61744155362528,23.196619099358987,27.261704798239283,31.18680261363844,25.427335082447254,24.733799291287752,28.39855250276544,27.531458351932706,23.13224492646693,25.457968385296443,23.863093803655193,29.539654121273585,26.39083547671678,28.31769707507351,32.14024297385608,35.65308690635856,39.3084190282425,40.9454644525107,43.33197466188868,41.47129269049375,44.00945469905416,42.06347987268491,45.149527754117024,43.26012358137319,37.49515209891029,40.605012809903684,42.532669906230474,37.91679147610287,36.23486616610294,38.88150735903641,37.259683516396954,33.12209642695953,32.94414930720981,31.256218997124833,35.20897151582099,38.30765789804529,38.33001402934717,41.32503639746735,44.3338883651904,42.31154937834512,37.951609259380355,40.21822153560831,41.545643314107565,36.93754815639979,35.1814160260028,38.09252362904747,36.75102107708482,32.98320511965256,36.92542659703105,38.11751210876252,34.017443155306395,33.98689354533221,37.583377556923864,35.71671091395955,38.515548656842086,37.65262379396002,40.31496487510406,38.277480386279514,33.00656329859507,36.05109303271613,36.34748673765425,32.99909107810416,31.354432932898266,36.330821193651765,34.122062453999504,28.84510889812004,30.939776179558777,34.706616258453195,31.577522069018517,27.736549135060066,23.455702708922573,25.325705727583752,20.97288985001537,23.522812646506747,19.02007683500283,21.359480515336962,19.373811258523553,15.553155955014427,16.815636642129483,17.87455924251852,19.573796613322173,23.287614068803187,21.74844661199714,25.644136117691783,23.33863687087853,23.783052737791085,29.136483450125123,31.020726154258988,31.818735345726772,26.455570785893023,26.956075838670493,29.593069341988652,26.37844535023899,23.54901649670189,27.92081452215942,30.108141004364853,31.51590524343788,33.05850167660612,35.551862116958326],[26.236869050134757,24.272332983141368,24.058441408349672,20.245733646092972,22.46280104536891,26.200344550835943,27.735027472465962,32.3707264772873,31.98242461703463,31.90545944092664,35.04326557602381,38.39005858046434,36.13797108038615,33.921317002772504,39.00981769803071,40.115588286228146,36.69026924846976,39.97391118640845,39.65333524841933,42.177029277159875,44.11583574230879,46.90543774137417,46.54309814643726,44.13315700138563,42.290215645951356,39.34882689332192,38.37699596728884,36.254477652166834,39.28493691542939,40.80638088376033,44.79716894086112,45.07686132598487,49.17687143967869,51.71690034881513,48.69869683212274,45.66482128560554,45.068324178174514,42.969283659696,41.11310120892882,45.52726062136773,41.108729827732084,43.619387201714055,47.5729171885193,46.13331362436149,46.22160821769609,45.603794698268594,49.001581153878504,49.90636347092488,47.27692315718624,51.10714333227766,53.858072584849026,55.00755915095444,56.11564806769018,51.25977475982001,54.37332727017054,57.732637811862276,54.64937872964703,53.371849699712186,57.64711277709022,58.25982901983145,54.04989060539586,56.22259232652303,55.16281861301316,55.471231483914124,52.39489644606914,49.88752453502912,47.05731856098791,45.51413990408541,42.283855373517184,41.74616647384761,40.34685869689575,42.52044042439798,45.31571914686037,47.15067868444557,47.991073594879616,53.90313505826843,52.054814863969895,55.858238923019826,54.11510993193726,54.06702554048058,52.58664106356791,50.70232055267275,49.91350054962826,48.4643396005714,44.63302354914126,45.23604795633426,47.008094034981816,49.51923197956015,48.75259228979706,53.36007747359494,50.94603821831534,54.20583430582422,51.543234768108704,50.418307260993245,45.880878013547665,46.88831594372579,42.63645609611749,45.55577892124299,43.503659176278035,46.054077957923965,45.89501143128925,44.790968478820524,45.01319461126322,42.669612307847174,43.440826617908385,38.76939427221332,40.704579934287565,38.10765183192607,34.51023492055771,36.435679793523775,32.32105885349556,32.2829622697188,30.798018932065162,29.108943553057692,30.65486142900474,28.354359250838915,31.50917657746013,29.456815966691334,34.54373426834176,35.419443232797136,32.31934839265853,30.957205301212017,26.39209144144547,25.978692064363386,26.058610349330532,25.255620633148254,26.376536258492912,28.195036562047317,29.834638102699337,34.19823730001706,30.937988878825553,35.28492005287069,34.91383723578419,38.03763191684502,32.62419601625876,30.061595846240536,25.599261652300367,25.12093514707266,23.52957042556154,27.435291967673994,26.44669686347897,30.907525685166267,32.521216292327026,31.35061159908046,35.44622310501756,35.935671475650295,33.0356213422364,34.57864144186816,34.82651844693361,34.13696515089249,36.052165533565315,37.41285297895438,41.904730802491066,43.20774364745934,44.1211629660623,43.232284730037264,40.47421593698637,40.13278669913571,39.96408046810771,38.02455788313131,35.29552078598377,37.99167856841851,33.335534201750654,37.7655190890657,35.529326940853295,30.63301312886028,32.811830064834375,32.00475410192403,29.27220936059578,27.045672041581227,29.08425504152409,29.498710869165965,34.64917066607722,37.43832277911656,40.090130690903635,42.66670873771139,42.51504931296131,47.354559405444085,44.855595129367515,45.44192287049469,41.381607999852925,39.47288118604378,41.215020002146105,41.971207955388415,39.24862408906615,42.47224677325137,42.116245323655534,44.48176197383052,41.43195426288913,41.93694441474897,41.04794558746475,40.079935305144545,37.64632895562572,35.66710305576723,35.93878699535301,35.22698319355338,31.103490741897176,33.34529888151055,30.971620568713515,32.348111387750166,34.47696623058855,35.474589253588256,31.731973533090358,30.243838720421195,34.03446454027452,32.001034770208626,26.288596079211924,30.189459391765876,34.632123661478325,29.213114382901075,28.217903132029008,31.93197979066349,31.596579600333545,27.157471099104395,28.986455051721542,27.006496343613126,32.633994015214896,28.442044226305878,30.731804479503577,34.68032290977133,37.67947984226231,41.651841942569234,42.78864386811146,45.441773774100064,43.555835839599204,46.09656105273734,44.324772249563246,46.953918818590516,44.896436277640625,39.28489738480108,42.29401742783244,43.68258572356217,39.01044858280497,37.490259497293785,39.78148118048382,37.707373632410054,33.833803137037215,33.71520096256975,32.73807089807966,37.02865888750871,40.17983042918753,40.652765699582375,43.907878283357206,47.18084379579903,45.34664736292816,40.82337187552402,43.34617623181338,44.996760741620164,40.41599330367983,38.58695656068374,41.813223388324005,40.73116912444499,36.8367304816886,40.562809934474465,42.06260812352901,38.19007807069173,37.7483441179668,41.16642375720305,39.00896979557372,41.629134939566384,40.6695980190982,42.947771769593764,40.95162791423879,35.79646116205926,38.418475709776985,38.42657564717892,35.19356138049712,33.332243320663245,37.82959882350794,35.45674075522898,30.344968929035105,32.07700553882537,35.422047184518654,32.21918885888156,28.465967886390004,24.658928230577704,25.619542016636633,21.554873703744796,24.888443381388946,21.083783307776915,23.93299169268701,22.82660105723265,18.514906544160237,19.18477778151312,19.228667231447442,20.9703134084097,25.212158671391606,24.32173090962873,28.023533572336884,26.28722651362069,27.31532458443069,32.748015408528886,34.86229621616226,35.86799303858295,30.45519568020598,31.138620971006993,34.076728300571375,30.820665953855702,28.173443537693664,32.72581395896939,34.93714314757517,36.36489389463833,37.79263015660141,40.33503636136151],[27.10950069789845,25.133490191196216,24.863333378925958,20.25784302177529,22.307735454183714,25.51135633253237,26.465646105174137,31.085033674950793,30.15312206776426,29.552718571489923,32.477330583691575,36.11768255163735,33.67509756772405,31.03702298424354,36.039491515036964,37.3256413022193,33.76952300403026,36.7842622895842,36.161328406389195,38.979005725117965,40.71192794242056,43.67785590482603,43.10568317254433,40.71623647956313,39.08707811596647,36.0023577051951,35.36775198709528,33.300325461529475,36.40584762442272,38.200729592151404,41.75428857008004,42.52705464683404,46.5169106860224,48.85256414104017,45.986104922692554,42.80606130410626,42.62278278784746,40.31503606897707,38.61234051009285,43.302866500334524,38.63419500872312,40.720733824978616,44.78525191788134,43.58657519119933,43.5537211710765,43.12514038504947,46.43509134755447,47.372984341725335,45.08608404489866,49.00638150791328,51.611755274015024,52.955070624198996,53.909441566532934,48.920991754439655,52.12508182731648,55.29280568858989,51.98531058654075,50.71205142174046,54.98139835583026,55.45759980397023,51.03799389840544,53.02273836702192,51.96080458429973,52.00168447336907,49.06674985255326,46.692747484161444,43.52645029237793,42.10202577277735,38.60611866264329,38.169486585605824,36.57023169186151,38.55162748789158,41.54334652133866,43.35454525822557,44.48256540685923,50.37740845833823,48.77474667461349,52.68230971774077,51.13673397203059,51.22726652569716,50.067723706342804,48.3925282392112,47.9074173837084,46.67548603871355,42.7091026655305,43.0452868215896,44.426290824110986,47.056906542628965,45.846361509354686,50.45032764736236,47.79262292762263,50.850101682764304,48.26823838896719,47.35203706298981,42.89582908746135,43.815427005205656,39.64226721122553,42.93904554792303,41.17580398395782,44.17133518072292,43.82151576530445,43.300695828028886,43.262339960275284,41.475673381022496,42.47888835622789,38.03866290038673,40.45979900072547,38.11993284961934,34.66004790732304,36.1883547381768,31.95278341412934,31.27042173639552,29.396487307140806,27.39204020273709,28.26588186444423,25.75877317624336,28.58553730757548,26.282557126018055,31.045576429559315,32.07863209032268,28.87369349903503,27.77140159532195,23.25697056706773,23.3491881877681,23.970371623802876,23.725816581462254,25.76639649898887,27.457363415294022,29.559364340124976,33.766936663050984,31.103691184805648,35.617134868109,34.92328234501121,37.692070841661035,32.1555542905514,29.18396002444426,25.326601767238607,23.92696179286547,21.684842011525532,25.34248662843832,23.759039168749077,28.1336062211007,29.583439068165568,28.733255178416695,32.93546606219521,33.43759359813654,30.66683475717553,32.41460561891342,33.102064223950975,32.44448624568675,34.87271960697327,36.047349346503836,40.818177241368126,42.09482543660149,42.584529891962504,41.662549980966716,38.67093772923611,38.69890080589545,38.08220365367846,36.67823335423157,33.78242586725931,35.943237507298385,31.34480343787327,35.78611584132063,33.916809407740814,29.074850489148297,31.84323263589671,31.201117486870917,28.895135992204743,26.18937781246159,28.337660004454328,28.203908963060144,33.32361310187766,36.038118525053974,38.47980745227006,41.16954535854655,40.61073476928456,45.6615067780916,43.13507802827369,44.05658116081432,40.04878983934411,38.49147419217507,40.51192343601707,41.33997169485623,38.35898489319464,41.07698449858623,40.26690637453706,42.72872986488057,39.7067857619355,40.69231972584427,40.14481572316931,39.26168729737233,37.28443790800266,35.53490357761108,36.15354727083552,35.933020153520175,31.803140232974656,34.31657981804581,32.26693933184903,33.198531595821,35.89073277055976,36.494821408261565,32.554537981221,31.77687439361589,35.63195906574996,33.182974422392995,27.844071824503818,32.14324164532355,36.23495478113597,30.624718261011445,30.135714644317815,33.92594803154826,33.043639175046785,28.803943958525295,31.251876133061458,29.478509007570292,35.20252986351197,31.574463566691012,33.441057924285126,37.40910728067251,40.60076656143543,44.5011156204237,45.72750663485524,48.05863507481259,45.94257200139149,48.25511973051003,46.09721955506845,48.90443698254869,47.2142365175999,41.34268446968028,44.08802519370277,45.86273852019398,41.32327185619946,39.416655298567086,41.583983354955514,40.04613791941964,36.18242148219938,35.320913498451276,34.47922283820648,38.13659134928058,41.49427152999946,42.08721167796037,45.00014049489015,48.373111463356274,46.09505799869672,41.78654098666427,44.60075955592623,45.8477947309002,41.08144072767278,39.720856166355645,42.8906528466061,41.58298173637608,37.95267715885082,42.04849428719385,43.36847228153198,39.34777136033911,39.43500008435037,43.03601300033629,41.037710420603744,43.593804388444916,42.39652224120644,44.97540093494877,43.28203419258908,37.899496922351936,40.514038996546624,40.969091508588754,37.78017585392897,35.6456411401571,40.45552167735179,38.499353078197736,33.171261562742515,34.67271685714343,38.462410637632665,35.55503967160034,31.667950087828167,27.723283320995964,29.254382746489874,25.223296472937562,28.40126111782086,24.141864294193212,26.4298580842175,24.66817845801151,20.862873982297902,21.52406409685869,22.05681713994882,23.27707905708048,27.27705174629718,25.452776087918,28.891051915193337,26.441977972817668,27.82166692178428,33.01363864598996,35.327644549357636,35.73819401027699,30.403571062714363,31.627572075495603,34.125294294801385,30.308440984600402,28.258611940877472,32.78758139490947,34.53289155029023,35.57299944983851,36.69997438359788,39.0861571974111],[23.989169266028213,21.73951539013014,21.090719014218866,16.36833637481909,18.166934738652674,21.470493041946483,22.402257466123118,27.04159361474982,26.334564881603818,25.8743400449036,28.96019897581248,32.441721887229775,30.024050051645737,27.676345880447833,32.74231392853565,33.88704004930616,30.45549370181754,33.73707360832373,33.54725534435796,36.15971617226099,38.22167324560984,41.19425201472709,40.93545070678151,38.739982789022505,36.7660024939242,33.58972483132543,32.57440887365362,30.2524024428131,33.167931579598,34.70003430020831,38.522497287921325,38.94855826189645,43.001377265624924,45.497700702773756,42.562354919770186,39.53456292877088,39.08764574514777,37.090256913599454,35.43422852892577,40.19613362491674,35.79855071012991,37.96813939104702,42.064899653479316,40.888656129776926,41.16926196246336,40.88792217889921,44.277030029794226,44.906981708982514,42.579189451368286,46.60165056331854,49.03003053802854,50.207745000117995,51.098830676039235,46.1305302204284,49.084114836513045,52.42707119711105,49.283610976485306,47.7934292524063,52.04706867341309,52.79535111611208,48.41726564880486,50.37196577334238,49.155532734269215,49.54451478534016,46.601386505878324,43.96774985825801,41.02373611505174,39.33619977247487,36.10969520146945,35.46464329119902,34.12476881324788,36.391158813394945,39.08457516486519,40.99573344045496,41.736351339414426,47.68306490753542,45.91750958557766,49.67753060375416,48.04324728938769,48.16577318418302,46.75018934874199,45.11207964351097,44.35582125073609,43.19117597960177,39.347203084645564,39.603705533221294,41.21218636319394,43.61862173443877,42.69862778283521,47.19753820793334,44.70346713432099,47.9212670529463,45.23626105596961,44.131613572599925,39.60895090637031,40.63347587989046,36.40831804380534,39.40509739173695,37.485131311755595,40.31009091078745,39.99095429360867,39.2702522841352,39.34873879527834,37.41829807164884,38.50867939805792,33.9919820331594,36.41502144860887,34.178028184436236,30.651093111492155,32.07924597812451,27.805220837254286,27.195257686784107,25.328413897220177,23.46957998858885,24.591408924737937,22.283701969603356,25.390310651953666,23.503073020585894,28.571566554253717,29.21472856510472,26.07221643973323,24.6554464452935,20.127331883858766,19.793756288894627,20.106654116470768,19.742372708166055,21.601524995561725,23.398287826178134,25.54598567166727,29.844624681812558,27.35053174199615,31.9140550606377,31.40682836106206,33.972040826656404,28.565546232245378,25.452976962494418,21.679118509548243,20.34202134020982,18.28257555253991,22.052302604032974,21.157121100888904,25.79339873568322,26.92226899837132,25.70082278803883,29.862343527109758,30.094939620708466,27.192625887093953,28.69768006946013,29.18548464740585,28.456249669949326,30.764028671749017,32.01978919184212,36.73668210882631,38.14368194713771,38.67108485863391,37.67828342611926,34.7359045986616,34.64861658839184,34.182852915990765,32.67126712310487,29.964969455007733,32.35149321376061,27.941493007234012,32.472403709732504,30.807372083991382,26.22407409062761,28.874240421798714,28.66613973128228,26.144899173766813,23.262197827494777,25.115972379350982,24.84123943993668,29.887971420253624,32.44704296998874,34.821679866551165,37.359666999635365,36.84465291219899,41.87799895941849,39.515211325010455,40.34666712317874,36.527641447392135,34.67928840678655,36.924201972363434,37.95451292332356,35.019629719460035,37.9234821407398,37.200061911688806,39.88679923859238,37.16233252060103,37.98289625286333,37.53972745885333,36.350674272430226,34.36894212495715,32.44103523687887,32.95706466841709,32.7716144370187,28.467375175027563,30.852279714310672,28.745425046206154,29.382286955599938,32.207959301250305,32.59652872648749,28.607622278208325,28.09959982045957,31.936321975480556,29.32867367044937,24.180308861323347,28.655657394467934,32.58139544477532,26.987825328866585,26.77033033352274,30.622861645415668,29.576508998013164,25.550326717680747,28.327767643085846,26.54838004287869,32.30857223771478,29.003717704547284,30.461033905215473,34.436022272015315,37.71821125710251,41.57403960222682,42.83340835662991,44.90462440343656,42.65662063806299,44.846432464303255,42.505346260941224,45.47471723463851,43.975821618506615,37.97590633558781,40.64987250586947,42.72268685084234,38.26410543524481,36.17435833980501,38.44516862107872,37.258547384215134,33.297285471453606,32.206408944449265,31.118810225903363,34.50492555335065,37.88048696806755,38.38359391544754,41.14904990495062,44.49863504185572,42.096385169743606,37.86222368736325,40.731098626933196,41.848403126337836,37.04260843678159,35.82422566637861,39.00180362204332,37.66694090843099,34.129493971466815,38.347990427222406,39.67075830126584,35.69359758045623,35.94069484898434,39.58963133272457,37.61444629637732,40.069740489320935,38.73142736976918,41.45546663203828,39.95452523778869,34.45601795435198,37.06407625386686,37.797606589663104,34.65100849032072,32.38282348151106,37.42514451884021,35.77688911171251,30.30895099515737,31.75128225004911,35.89001573874754,33.21887065046832,29.24231300380786,25.139195251896453,27.318904449980383,23.329409836715072,26.25506376306652,21.61935024666026,23.371751535112654,21.295385191474825,17.882484040471077,18.424294542864114,19.37275926850418,20.25091789081034,23.965905243723473,21.678003112270503,25.071886055062997,22.39260327429697,23.77905104624426,28.906979719879924,31.273076352433623,31.60493756830632,26.278579343042892,27.667422973306092,30.152700796660138,26.2456993075004,24.395896813163095,29.064652769075305,30.702239117580138,31.73881229509323,32.813706895892054,35.29453357588572],[25.74400402957706,23.182511458069566,21.89434154571656,18.103749386929337,18.997216129197554,23.525524019981287,24.610320792861298,29.246775343340833,29.300676869405507,28.92923282977032,32.287621327695526,35.5037386264951,32.744210097340265,30.966045803842793,35.955141391484155,36.6961616563126,33.07035102558595,36.35360372284894,36.06220116936459,38.192982148631465,40.219437536824444,42.748128630766445,42.586729052189746,40.167066221278,38.10410926763329,35.37359007687945,34.13435574021429,32.14991161365512,35.29991779057148,36.86549178717287,41.31874137290788,41.34966883627278,45.61806125295334,48.02220377783387,44.76161281803872,41.674054954090295,40.86632317115172,38.58810270834997,36.53539787837727,40.675751925274746,36.36787510254278,39.20058897005979,43.02251575889113,41.40513450103926,41.581776961252444,40.890737110393964,44.34563912341563,45.16462344199704,42.372903963635856,46.17019732522962,48.94068586779512,49.99433865656269,51.16869159947975,46.39349119356837,49.49468941988711,52.92158326435197,49.97012858880793,48.75054218233114,53.02971265078324,53.68059220715445,49.66006440816153,52.05126087547644,51.10531264508093,51.60361972689903,48.3313820251316,45.77877211986752,43.37851130635041,41.89400109807278,39.03107605253231,38.698334876463235,37.52548129595644,40.0336249979782,42.4900636536023,44.04410725760353,44.64587577386239,50.453808603675554,48.21718754644514,52.014237073973774,50.00900210648473,49.71641064244577,48.106642931068365,45.99016629306402,45.209663065414695,43.5541399659544,39.72571283151749,40.57945551144327,42.51372149992615,45.14098036231645,44.61803441142169,49.42005406863511,47.27180391917928,50.786374748802466,48.26562091612921,47.159655556023424,42.687892978157834,44.052108047761855,39.86865782326388,42.35246401184943,40.296362388965846,42.88073127071479,42.215182147684885,40.97439530446178,40.84439093523689,38.42408434418708,38.78715066273923,34.254909950630136,36.19216248770045,33.45104119684803,30.091163041392065,32.168792565149204,28.263290710089635,27.980702717569546,26.951585980584596,24.9216150736039,26.856901762471274,24.389730700266263,27.60526698136663,25.538034131573877,30.89255780757875,31.87259812042662,29.03000447043094,27.714539550282435,23.00185712401459,22.442652022899765,22.621938131023462,21.072427843312767,22.577212646970974,23.76266000901368,25.287738412424005,29.42605367003654,26.087421472897987,30.432041760537615,29.810052747098517,33.017204553574636,27.50499153706697,25.087771683722302,20.564668189959537,20.130441768494762,18.743868939635334,22.699118371331743,21.97102287561955,26.438093690223454,28.20302443507579,26.869487608420286,30.848898960039875,31.533362113676404,28.665721375369184,30.40018636140223,30.615997065071856,30.393595487571574,32.319055553692266,34.20510467297756,38.6114676220466,40.522967604900366,41.22545603608165,39.901488227056056,36.985271801116326,36.323023339626964,36.00293552835968,33.70326856335686,30.640395584255767,33.411070149796075,28.547088262177375,32.888137093420944,30.41531541739576,25.493117604964304,27.533736653726145,26.751464000359825,23.978141274274083,21.76452598237237,23.8229478714565,24.381693801784493,29.55411717380678,32.459040383083895,35.26194619231869,37.96832149944984,38.07779120229095,42.74236788877391,40.03810538631647,40.548170472776995,36.31885148208709,34.57745757475229,36.08178125312768,36.73742937771486,34.01581071016647,37.28100150232046,37.066190408119844,39.3674145758551,36.34327450979435,36.70962790561012,35.795479544698445,34.79522821985771,32.35434062565032,30.40257770404557,30.76044683471299,30.210539219223914,26.153010660584652,28.633066329354527,26.61197472740507,28.04004855759169,30.567669733388538,31.676871479910314,27.87783692462398,26.71340919561253,30.790012055944214,28.910962145653933,23.355386263691067,27.55103042006687,32.12079915388015,27.02270385607929,26.380340718046465,30.3020513273639,30.0211439697466,25.985631371209024,28.151246825042968,25.833323847917953,31.544295906628978,27.097301086049338,28.804966146202933,32.925534502665045,35.638813550008166,39.847530845317245,40.546556001506005,42.85365686234732,40.58459836915581,42.80297172940735,40.716003992318974,43.22452346165612,41.49674317101946,35.688715531213056,38.349800065119496,39.871498691929304,35.33574415297657,33.478299224085184,35.524653370064875,33.84118286015732,30.06535836402527,29.259799470453046,28.668257264383882,32.59758666903383,35.91869850796544,36.76819133389141,39.90875638390155,43.46322864478342,41.445056365058335,36.96204116989733,39.96809953238118,41.5837329818482,36.90595516809528,35.42016368049109,38.977148820109726,38.045433094665775,34.27956316909684,38.132021075657,39.8984906413441,36.29191350785451,35.90154429969287,39.29556829737551,36.92992996359455,39.149147007339614,37.727757632168185,39.98167603096126,38.51441980172357,33.16198065717676,35.31444956433603,35.722550205036065,32.706291430603,30.23131619347326,34.79324169398392,33.018983406534964,27.69826091697109,28.8167044757439,32.59346044514119,29.907477645398547,25.99252299378733,22.311783040651235,23.86198640184593,20.21397066146108,23.816821909119298,19.774799650277938,21.907975237157842,20.89773484102352,16.95711422974045,16.769721378520988,16.704183036620762,17.608850528132027,21.829555847259197,20.486565320051668,23.80322247646164,22.113929421676858,23.86941691431811,29.170219221361876,31.670691995678126,32.580156228461576,27.198053163630203,28.501656608721724,31.593535019634018,28.023617563442702,26.077554397125954,31.021889964285982,32.92773781863551,34.253624285534215,35.37983998383603,38.07033057726223],[29.801130049287405,27.368041214590974,26.20681119464437,22.109240102932354,22.898593674418034,27.220722817609808,27.912563156143783,32.54384379009594,32.22468603693459,31.349837291192635,34.53052011959257,38.030853907035144,34.9597290376938,32.807563833242995,37.67655665579513,38.525223062613684,34.602879155542105,37.46254004102143,36.529927073347295,38.87663362086627,40.44938614841747,42.932863519525036,42.37723911377439,39.71109194388033,38.07513790920104,35.48716114589273,34.75234103312403,33.156506154720084,36.62588172726008,38.651840321384356,42.78536112285662,43.34820632456345,47.56954226300987,49.64295898829771,46.4275375633596,43.06339372834958,42.67437587652356,39.848339132625725,37.727182975497634,41.79284103621119,37.07443282585122,39.74902530275893,43.52484775083636,41.90656681568484,41.66586523760161,40.83406855215226,44.17129042644085,45.36530469642772,42.705666373807944,46.39113887284882,49.33636854207774,50.64548937010821,51.865463901576334,47.045403798531154,50.499780584947715,53.647549560160456,50.44754034492248,49.532317758870185,53.832015122861655,54.09385119163323,50.01417839013857,52.4627485290191,51.75907050271575,51.79423052233433,48.49931066292156,46.306294582875495,43.672445357667314,42.58333870076643,39.43327934049111,39.47925267138727,38.00822086179235,40.25464126275492,43.00379341818186,44.30742442448945,45.395301781816336,51.09925092125722,48.99355952586519,53.01990344518909,51.093536166905,50.71687128841404,49.51091020929007,47.34409005561331,47.04245693484414,45.322167193171225,41.281626029164784,42.21027285332977,43.75134234390232,46.75890294294697,45.78117661211608,50.79904087997614,48.45357986034122,51.80240268733373,49.49477631955302,48.708119097031556,44.36334877863719,45.713655178616904,41.635423517055095,44.47342394806388,42.71958085858757,45.7220670018516,44.74699205800075,43.95714022220196,43.43988048798548,41.42591158357106,41.649520252725196,37.38537460993379,39.55262281138698,36.78303736403295,33.67752163784644,35.70525539673199,31.863991919623714,31.08720037628758,29.988031037229028,27.518980213212494,28.962618893005814,26.09330329860549,28.86351926946861,26.173087248730873,31.146050081457886,32.70961569121741,29.83877916597942,29.012087970111555,24.245203536244027,24.34985355943146,25.176147622547816,23.835425845945057,26.157558886935522,26.97644495510136,28.657689587368587,32.4991650273908,29.28237026791682,33.59527306096957,32.49343434825556,35.773498176661214,30.05195329056435,27.66097124962876,23.419851881414733,22.39212885920858,20.486282401235584,24.172710456887504,22.39085205203064,26.490281224811735,28.64798329526773,27.857202505792273,31.895228336817386,32.99178269280601,30.35205100575157,32.5463245641903,33.202945238029905,33.23441954081819,35.55871539587104,37.437481765673375,42.018631853101375,43.97918307668815,44.37715805496285,42.96317730930676,39.81829162090149,39.351774588086954,38.58830077815752,36.547510284977264,33.06421962508781,35.321861748841826,30.18288117898767,34.37844329775396,31.74335467918453,26.53409102616638,28.964157986987967,27.70583333247402,25.46965750099014,23.269532422672427,25.74859156413088,26.2318012148844,31.452083571805023,34.54257753972077,37.37304959750748,40.363608538685455,40.32294039442697,45.040417724098404,42.04608797917581,42.795941654486775,38.30323524266489,37.16501096010913,38.43247883743656,38.82336338895673,35.93316336602024,38.71384252374156,38.22998457979101,40.25643909410698,36.871379854482434,37.620798450898675,36.72163577113759,36.16199518058712,33.96912728093973,32.40102108101554,33.09847661880035,32.81967098060947,29.076093859771298,31.897452435582064,30.263163828740204,31.813555186518723,34.55361844426636,35.74811773130565,31.92661383449169,30.914249782541127,35.07648819615662,33.2379344155416,27.752214542391403,31.968886767229005,36.55960118956998,31.46661519670951,30.857637189088983,34.77429543968713,34.441364299584606,30.37616278313043,32.53645796885646,30.2469598251726,35.9444849860753,31.33360140927428,33.16101177946162,37.29150028653074,39.87071320020955,44.14509855109311,44.69595019673474,47.05580330127209,44.738975973562084,46.88324652940486,44.75850189335686,47.08435821430232,45.4087546940994,39.6343231099238,42.11732350931172,43.468414170476045,38.989177764175935,37.09459752290389,38.83701348241594,37.10899751982496,33.55840676391113,32.47306757301821,32.39878315583248,36.17873374021665,39.597486394198825,40.732276231980535,43.829076341918274,47.53199782305781,45.407607820878745,40.97575143089239,44.19074437409865,45.755241084359305,41.02552971717423,39.70865327152723,43.316390876374825,42.36148452435063,38.661152004779105,42.56582812886845,44.3249566891086,40.688223874340444,40.369846831732154,43.771242941513286,41.395926403038374,43.57141365886237,42.07454507612601,44.26821498036169,42.88154278786389,37.54552507612379,39.540657042942314,39.93374079048661,36.98233477394962,34.39023799407876,38.77108678158057,37.00956299992508,31.777882612663678,32.65877178031008,36.2706832561242,33.61941148187586,29.779583689049115,26.35078377067456,27.469958397345135,23.980884567560725,27.82392797364205,24.03991272414042,26.32359337848312,25.372113437264716,21.39113009693105,21.185737211725165,20.875789051610717,21.699485472094366,26.000682143883196,24.617203047115307,27.678744458609707,25.900051287501512,28.006931070831527,33.18639202258909,35.82858111688348,36.50409633565039,31.167855679651133,32.7281440484948,35.660769514707106,31.818467218777123,30.137994053037705,35.04237412923014,36.76672901967726,37.89043280972303,38.843189591306995,41.41761340104871],[28.69282179514563,26.0814399823328,24.559607373188854,19.964077570203052,20.186676438867444,24.21891485591295,24.323504706613484,28.88174256275468,28.35781489199516,27.068659847078735,30.187585546947357,33.77932555214685,30.463905014895673,28.245135032469776,33.026406108257085,33.853986202155085,29.845368402478243,32.62542394706546,31.686057249249743,34.07940277414881,35.69992858935355,38.295502818993995,37.79488828863327,35.25289581461803,33.52642296080263,30.786299041266975,30.050746950604267,28.383482573675927,31.853213639488867,33.97480203363558,38.00131501769811,38.71632783429926,42.91155061456295,44.88484826062011,41.70549337892265,38.29658290464674,38.05356072092522,35.190696920256265,33.17922483830701,37.48790866838435,32.72093511199204,35.158147183690986,39.04219790135107,37.607514629759756,37.48288743390116,36.89875216945606,40.2385570202832,41.24586767448281,38.81785162744958,42.65980161388292,45.37111803117116,46.72304110920341,47.78297023857008,42.85930180401531,46.23821300365108,49.3577957608641,46.08642375875888,45.04200607970057,49.339783779149975,49.67008546404959,45.45904875541166,47.7766539586355,46.991616490892056,47.057873221264096,43.830083269881214,41.569923089427775,38.868315064125724,37.73083429116075,34.59320873773593,34.65462983959391,33.21995971215608,35.55222893235596,38.212061312496445,39.493851688914816,40.53894663006118,46.24583749225078,44.164371714044954,48.19150409116278,46.32236383331772,46.03552943430973,44.91257432389157,42.898890772061286,42.68515578813311,41.15114914183186,37.06437830441533,37.76628008134087,39.14887601770211,42.14877412148375,41.022266363836806,46.017892319170784,43.62061622348323,46.95187720562648,44.67597910266047,43.95202618529424,39.65586548011962,41.068242825155515,37.05347256694155,39.920841272150305,38.317075887302444,41.56921303545387,40.36494828650542,39.906347460456495,39.17949752988128,37.529173130241645,37.92022723714827,33.84225768688409,36.399507098114164,33.89456862216138,30.921128189837592,32.577076041432655,28.689240634862504,27.37485746196221,26.074650625378716,23.34026670039334,24.433639807401313,21.434937086280378,24.078759728612837,21.354898641963242,26.330941029904235,27.85423902433415,24.99603943218366,24.248518880260185,19.472926019586424,19.779066967741375,20.960787357117304,19.824525620466247,22.91172023857074,23.5121131171282,25.567611397212758,29.255347095382277,26.653550270712977,31.10799178190898,29.816572424062088,32.66717137452602,26.91848901087601,24.119682382563514,20.48330224281113,18.64999136150003,16.266234785973076,19.81320136046392,17.891388127481974,22.13265001395949,24.016309429422904,23.25528074617746,27.36603986162929,28.374714568439014,25.777839721052697,28.072044842146035,28.985706124481553,29.119513350224608,31.78143269302346,33.65031687547926,38.36649777949914,40.47538726951851,40.52602421619682,38.97301123568318,35.65603504781917,35.35922399905113,34.286084235899615,32.55858832848374,28.977031695967543,30.91679951221292,25.87373439042446,30.127413688496585,27.88346226027249,22.850427272520974,25.739916880120244,24.92632216946386,22.93337345814265,20.160734350139556,22.567661197884803,22.488713710909675,27.654293447813316,30.613749340722396,33.25501198798927,36.27683568446917,35.97190280655392,40.819379583862144,37.86194677670198,38.826703731029276,34.46286369108201,33.47978588833141,35.079799074389456,35.64602669882912,32.560684192461714,35.02946601976888,34.22609974050047,36.47870587249397,33.309089058452315,34.35642933159923,33.82618318220189,33.12517504985615,31.331997561411917,29.852426818502916,30.795284416819477,30.98421964418383,27.150805311030282,30.125863482282053,28.776282084221894,29.774632367742132,33.067661500783665,33.823557228847754,29.850066085549024,29.602956838005138,33.788199483393775,31.577544079715082,26.5773607737869,31.163171788247265,35.35932802501293,30.22950977579761,30.181592653925673,34.1625681815281,33.353798856722115,29.64100708165065,32.418619313417,30.27102543240346,36.01327486711966,32.028194504619165,33.25606845337834,37.38324731601029,40.13522222715197,44.31717264831104,44.93635849016405,46.85504703443157,44.26585805855211,46.12428012065416,43.568548698073236,46.12006112694156,44.88652574512886,38.843777915062475,41.033081692835786,42.89168813795528,38.60388601836733,36.271196905588724,37.95749278920279,36.93576805024528,33.35364180413273,31.47831669629196,31.381614961528882,34.412343990666315,38.004438708304605,39.20574621632222,41.91037351468417,45.68716659644702,43.129597659396914,38.942414770221106,42.44956928883381,43.61171865995541,38.73451457213,37.91375544049954,41.49317057623093,40.37746047795525,36.97550002237125,41.20865289505939,42.850255695733495,39.18720439646565,39.35544081067124,42.89247715864702,40.64718661536979,42.66740760941977,40.875518556806234,43.37280354385453,42.381510994020545,36.82490547029299,38.76049343699633,39.69511366118385,36.83483419402313,33.93537231426221,38.679933588275254,37.47483978763058,32.01688467871382,32.651725149116174,36.83396643727433,34.595802908976246,30.61902089843462,27.01196071004977,28.98931696207889,25.56502678706907,29.092100964336915,24.779654966770032,26.286661528171894,24.716506677761817,21.412414118379083,21.08106703732492,21.373797592186857,21.542481785335017,25.40243586452465,22.99685742727413,25.713428535439615,23.261950589087636,25.75050918727401,30.610649125124752,33.466732101840215,33.618038749147566,28.41906674785701,30.55949680023261,33.141439625020965,28.82720165525594,27.85488327017526,32.79915404042259,34.05255797609119,34.85583087167149,35.48909870061497,37.99902526411369],[26.308400657476184,23.245226850257723,20.81326629934174,17.10043233534628,16.148333843997055,21.315453831725947,21.623354825496826,26.110629718473504,26.585621490945613,25.74049733235324,29.247564938613976,32.29918857834419,28.919705512451323,27.647479731599653,32.40172015162373,32.7168970163118,28.868316445198115,32.06615416705014,31.783504571440634,33.453775131951595,35.55802320752258,37.79612687529703,37.86438763523543,35.47763536088993,33.16633140779812,30.675829004639066,29.145832480839054,27.3465686667312,30.621866271471472,32.27441862314223,37.17181216324158,36.99188825571978,41.40667603408461,43.59791633691333,40.0981379860708,36.94183039148979,35.95772921024066,33.44163614551001,31.190230588904598,35.05479377427574,30.85705331782829,33.992155785247526,37.6702806030201,35.90140258989386,36.19862904652391,35.48893142576333,38.99542043542785,39.67400833182815,36.772149161034456,40.563670322656634,43.29480235867235,44.26187244039274,45.468768139915774,40.75756767980739,43.838733137470236,47.31428170244583,44.484378835209874,43.31262080836515,47.587347627300986,48.278901363726966,44.442167242758934,47.03517202966195,46.20891151188899,46.90058370549199,43.44483545298095,40.85296002827075,38.92596709978833,37.52545019134786,35.099265961227246,35.021275393775305,34.114122405477055,36.96089636638504,39.00548625748796,40.21860848449576,40.56182118736982,46.20595689371039,43.568598567148,47.35094580504207,45.08415212027197,44.53901213383229,42.83330160136949,40.49634391075986,39.77896506366385,37.9366282211811,34.08840238901125,35.17801770409402,37.230919656471386,40.00147488969154,39.69377241593158,44.6962045371395,42.830503866954295,46.58834617134316,44.25931234882636,43.21669130269882,38.877670589347424,40.63395011009663,36.598059429432645,38.60181924775362,36.622860468430844,39.31534189334993,38.007097489971414,36.74666083583905,36.125884761190854,33.76598154372548,33.68643991337211,29.417607199984626,31.488742786899913,28.671992678698178,25.695407093366715,27.8122080811354,24.200876577252664,23.404224806746424,22.900654110331587,20.361021130706472,22.63499291080632,19.952429330701197,23.127322313212552,21.056666862235385,26.62319067360056,27.721056866775008,25.247425580289747,24.058945197852452,19.31005296277121,18.65935252131368,19.088873162706733,16.662780954974828,18.94225593343788,19.15979441948216,20.64850785449573,24.383910214945036,21.18130789211724,25.545328038075677,24.49885581836947,27.67098987612211,22.00673802454665,19.654720356932813,15.28767585099809,14.594203070679376,13.36125523318985,17.29973619001635,16.894259941453896,21.32491325965766,23.198306618689134,21.69293068876787,25.508641676400256,26.428317248721118,23.651300052283123,25.662131140331766,25.937022308764625,26.337644439493157,28.374862595633644,30.83894426208797,35.14166824809275,37.74574348554106,38.088179839354126,36.253027792996846,33.12499793511023,32.16319703803499,31.54893083322067,28.946705506869012,25.428846835095264,28.154292574576502,23.060113466277052,27.283395507609654,24.616861314964254,19.698697566850875,21.719037821881976,21.09337706154255,18.371011343465653,15.964914010661591,18.05977167123232,18.63514190366333,23.829804303242533,26.85586771235057,29.78897063909364,32.675070617811414,33.00922496444939,37.49269411666258,34.543570959932694,35.04190353535717,30.631692839818683,29.18683552945431,30.484740047096466,31.055195629282856,28.257134760192844,31.450663493159837,31.29804101927737,33.57517385728151,30.629358976510346,30.937223360119155,30.10839185004378,29.04606678578647,26.7397413723941,24.8771124341984,25.45721541028791,25.30182786620154,21.343198946244293,24.199010757211646,22.787910313194256,24.070370734927902,27.25098630695109,28.32925218693177,24.47730031061738,24.005580002711227,28.32539728337775,26.540588779937096,21.519199779079273,26.016335049324187,30.46671350939131,25.84167296232699,25.778773321298885,29.800502055905095,29.423634800893495,26.03803808268275,28.644031517005455,26.14024392588677,31.74994969978284,27.39415147889871,28.27434578922183,32.4494480981858,34.859489970009335,39.1985433814033,39.45877153948327,41.23959151198707,38.50875996205496,40.25800759550044,37.70817353175599,40.118373134579855,38.916224220306674,32.88327212977909,35.00709929131207,36.81614337898951,32.560654486734414,30.19488610362375,31.8871628177836,30.912418502863638,27.32661737082339,25.414022320109808,25.33806915943949,28.501844878564043,32.059288175087104,33.378226395714,36.22426194246313,40.097450656550585,37.74333738749069,33.43138817462722,37.05436172096283,38.48037692982712,33.695113562423934,32.78656855700274,36.64249671210313,35.83080056819591,32.36747740507195,36.393942668441525,38.36948918069165,35.08577331513799,34.91578668605807,38.26697017192363,35.77416674056348,37.489227092204196,35.50152259539235,37.79161412289073,37.03610383595762,31.508687774364077,33.08201224742418,34.08902220853092,31.40046584536558,28.213149762067843,32.85383995947501,31.93678740491425,26.47839721101837,26.785205849037023,31.11413319180656,29.18672086525443,25.201113128497905,21.786855799805807,24.11540593159356,21.121514053956172,24.684750445561093,20.503934952824228,21.53201732371732,20.471741686676925,17.435967827420836,16.324721570433834,16.345571573982323,15.943064367529788,19.727254479832368,17.50040156746815,20.059865984090344,18.224645233148436,21.012709553793975,25.90197236343667,28.879622262022764,29.475675723067024,24.290274577510186,26.470401593287523,29.527102053607265,25.532400414114544,24.66163199193938,29.872415870709382,31.258255457246296,32.33881446274859,33.01647609182605,35.79322979145833],[30.449571229055618,27.54208189855216,25.380497787920348,21.768486200845565,21.091432991718925,26.26015567834853,26.562329776043395,31.050089480344287,31.370431755513515,30.286513848740498,33.68467790454188,36.91092935887517,33.32490455247433,31.81474925461342,36.48039702079019,36.83961707450321,32.73190708545449,35.551267498336586,34.640944316753554,36.39412125263379,38.03319150795547,40.073390319476715,39.76907425118902,37.04121105528606,35.15448242462294,32.97453693837742,31.891989565765662,30.58528453093727,34.20096215709337,36.2499201941755,40.99132239503907,41.1668830077106,45.57377572780437,47.479024578931394,43.95026088819199,40.553033989802685,39.83386125240513,36.76348757512951,34.32392301611965,37.83988453194719,33.30202258866643,36.530790301318774,40.04096397977195,38.0871289422338,37.899476520571795,36.83914213959213,40.24480703570708,41.414295926746384,38.424325495081376,41.97275440236103,45.05798317803623,46.21589538679349,47.60805545573595,42.962338442280455,46.44011076872347,49.67385255505573,46.69392440119495,45.93634320119265,50.22681462674845,50.496899115452024,46.757181153809846,49.56286308882558,49.062733218508164,49.337247164140045,45.75543572165588,43.55249126974897,41.563129777874956,40.599255398419054,37.97618796702876,38.30585862294977,37.13853243692013,39.762939150446165,42.06666189294878,42.98499809506644,43.76416875068655,49.277515279984584,46.64819223809624,50.644388285726734,48.34741776886486,47.59052559390483,46.19131220623574,43.63937451035795,43.3403685618507,41.25080634303451,37.24711993557411,38.639916506102125,40.443934616476014,43.61691785352021,43.031087546336195,48.29628188125218,46.34856323140778,50.01902826163144,47.908907579633194,47.13282329448501,42.90558548973868,44.68124909057019,40.722951164425965,42.94653017321867,41.1585745904378,44.06575528385543,42.52674531530034,41.4431290201535,40.52641904140555,38.304717948920164,37.870624842519945,33.81643507304564,35.7900361610265,32.7480077504925,30.02607144166729,32.37517968582048,28.964003747882483,28.04875247750459,27.701785754223156,24.897637322997458,26.933648073866927,23.921547836168067,26.69949845295889,23.993182896787438,29.224777584086176,30.969471854075906,28.514275641860607,27.77725886710661,22.958258935541544,22.85265996701259,23.715551438609953,21.3359103319902,23.880855528172507,23.80629093671601,25.10971913744202,28.52593056640556,25.016063466349316,29.135800406882705,27.69641939027621,31.257732394859985,25.474679550990817,23.56685182281889,19.162776051111972,18.474695780193457,17.069439908594862,20.70587866529102,19.24730325799514,23.16092250738544,25.703053858644957,24.732978436625125,28.504925071036705,29.963576026638385,27.429431540473498,29.864519962086575,30.39660467002293,31.056058729091855,33.22114130145515,35.750378225228445,40.07171655163041,42.71162008699558,42.977330490177174,41.08346956746241,37.85104204415195,36.90400203637675,36.053489182134996,33.43794422053483,29.54374596180256,31.950910439943108,26.507137096433652,30.461571698625974,27.285701100107225,21.955516739517734,23.986432404296647,22.47173647999429,20.178224546646362,18.321296649538027,20.92791581671404,21.891399799887612,27.08813370356782,30.398510832958372,33.50409386822317,36.657869526447776,37.093416439066694,41.45575821824328,38.1594060607632,38.71590397425167,33.93641203966242,33.057767931900756,33.77558847296452,33.89857866109882,31.10719483965348,34.0159742597596,33.867795389314225,35.65300964729429,32.18526265186764,32.61933066716102,31.509640884243673,31.021569017216436,28.674725562211247,27.18281457017588,27.9427149195147,27.734974669269924,24.27349168143185,27.363299314055737,26.21877741476672,28.06759716743194,31.03868305384858,32.560021397257685,28.856088388066766,27.98017665857947,32.36321846031898,30.958490763401738,25.69836408937926,29.923670715378336,34.69511059979405,30.184753547076735,29.7694843189536,33.76080334719043,33.71216281784966,30.095209766891415,32.28246848731056,29.633431366622176,35.217224738120905,30.174477064679568,31.525961542322648,35.73746358662079,37.82367504537043,42.34100036233316,42.30955900794948,44.39683045165727,41.758131523052306,43.577659446847186,41.27405713795695,43.287283330822554,41.87208000553297,36.07897283366732,38.16672060998362,39.424583777171435,35.131405223702714,33.02160071981571,34.38275674271772,32.897005340761645,29.608088676966577,27.92061864744699,28.479578321587077,31.98325356123165,35.492774002447256,37.110173973951674,40.17016111918306,44.15900458851498,42.01856409952239,37.616476345345994,41.279913209803,42.950646782798074,38.252803258671996,37.19615158812726,41.15592464864885,40.480292709404736,36.89667008014592,40.71892758875684,42.82021614333825,39.592499914522385,39.12822556092334,42.36627167546677,39.73189626722906,41.43793972219135,39.52565091383035,41.5017398171176,40.63051976240687,35.2797116677784,36.645285320167396,37.289248149540924,34.648070322914,31.489427039342456,35.64861871491841,34.44081612983687,29.222244996334208,29.369076756465912,33.157773810238666,31.058212552624237,27.221899484590995,24.22030399091891,25.57728126822084,22.75031898298229,26.852042527593827,23.254589892814074,24.940012942634176,24.442335139674505,20.857434709150137,19.740406599577046,19.0101126159675,18.97843629067026,23.16791082451682,21.735701795375558,24.2042092334429,22.880192292709435,25.742654649870946,30.66331202945685,33.63816690961861,34.38649038513853,29.209676514015754,31.257017430511087,34.42745739949217,30.512299264243598,29.463888656464725,34.642816185799205,36.15531529254655,37.26104036131303,37.955310704480965,40.68359383116213],[33.865525134824836,31.15415549001779,29.324186678522768,24.983078893238076,24.5489525835114,28.975941042902868,28.737412934034293,33.17783189735863,32.77210965964415,31.030374036636285,34.081158576284615,37.714306641715446,33.877674798596146,31.73223551530865,36.211919156732236,36.83535773250769,32.462693845878135,34.71935666149924,33.04912704090564,35.25463930581856,36.33469558259431,38.512196542699385,37.67795551694855,34.75663212014034,33.44619838882807,31.246249139970647,30.90982341059027,29.957285970785993,33.84520081836629,36.44317312324071,40.50114371396957,41.494710016333535,45.730862953446064,47.245787258412605,43.92492694342672,40.22672764767227,40.19499212996461,36.588098748080036,34.27349176933136,38.00294129104873,32.928105284151336,35.59286321492735,39.171779798764895,37.4632667693064,36.817674115899244,35.826168391027856,39.04135406918687,40.55497780871458,38.01307108056332,41.549770954058694,44.62791188123623,46.169066757813226,47.442942872477396,42.64618130107261,46.46339658993483,49.299425383607705,45.916916175409895,45.390822269080125,49.68255226795629,49.52853505656572,45.53934415282561,48.197170341301586,47.869814040647505,47.53168249072856,44.07754300242104,42.28424639074345,39.781277517117445,39.22996553386405,36.13649675901405,36.83332026757448,35.25982086219301,37.48314493744769,40.18814167846126,40.90619714746945,42.3228241195971,47.73609006984322,45.46259358641004,49.71088252974417,47.67955776354634,47.01359763434845,46.21333305306719,43.85277705069546,44.163142103779556,42.266810696757545,38.01653019603256,39.17436218847404,40.31307326229479,43.836445720693156,42.50427284171312,47.88141980071203,45.5565887476872,48.89361064146692,46.998306182011895,46.62530588927735,42.56708109624473,44.208079040188494,40.402170148773166,43.21623802170895,41.87318736086428,45.384192408343935,43.590338812777574,43.3032952047194,41.99920502965568,40.53076648498265,40.303129954531364,36.60907688650014,39.114282297991636,36.34502092391385,33.83372527199896,35.75482558301599,32.2431519116774,30.5872081112632,29.770663023780543,26.541898454617083,27.597465216267498,24.191055469766187,26.309943291765048,22.910467962463148,27.478911721462072,29.822982170146524,27.264806587361555,27.130895961795055,22.395579012865383,23.207769347029153,24.905750626982343,23.290597151095007,26.913133013362714,26.723658295253877,28.529279313792994,31.67000130960808,28.836737240725498,33.02554084846159,31.126389918013327,34.326815562457014,28.427009104461963,26.150217062462097,22.592298149343698,20.69344789877513,18.312440923435066,21.418366916077677,18.515387184318932,21.97488690888782,24.682508880136957,24.483457727258447,28.37810790780033,30.124198879512697,27.89257064792337,30.772429554900068,31.97031998218501,32.717268760179294,35.52092926418264,37.76754743811317,42.40967360502749,44.916147881122704,44.713146082959135,42.832687047469086,39.31920022337427,38.86293208612453,37.3997508320781,35.49014128664296,31.29526643185487,32.845460082620605,27.35231867203479,31.182843512003455,28.31133226633161,22.914017185968433,25.808136199018282,24.148756523800007,22.755532111376652,20.47380971386882,23.378758295832128,23.691165498123027,28.789135907842155,32.086191465915455,34.95747040281745,38.34764805350492,38.27664363269669,42.86154402452914,39.40500699989449,40.430597477441076,35.597419995644216,35.40105885066207,36.26784640617104,36.30804232725377,33.20235671821621,35.25993707693273,34.46751985257019,36.133092969781444,32.435282301874935,33.64415775846018,32.892974256669866,32.816388594517264,31.121812311564337,30.123698801252786,31.37901631143287,31.738752096514272,28.494021676240585,31.857156496561128,31.069311942755547,32.55045951017245,35.93459337889555,37.12364665629916,33.28075139839679,32.9426606700179,37.30661228638668,35.53476351818978,30.524769271875098,34.98069199429091,39.46274978773137,34.67909202434937,34.52914501621644,38.53655655060556,38.04360851029143,34.39489029635025,36.93354084343872,34.532017685420726,40.21247096744143,35.566081200271356,36.88263066270584,41.077244518004136,43.36483644407712,47.789839458407805,47.90659595946778,49.884576195179854,47.170671623907,48.8736811517004,46.34637392471817,48.443572705159056,47.25321946256523,41.354494588409516,43.24297604412773,44.68429182061054,40.51211570937058,38.197591226072205,39.37453944993578,38.20327304888643,35.027534618371966,32.85158457693517,33.615108518860055,36.59704292482673,40.24480219777095,41.97189475454437,44.74733843649812,48.79583855655574,46.2983208333764,42.10426962560177,45.950678388225406,47.27913610053695,42.44397999839188,41.742280301312746,45.580990450546906,44.67385757343442,41.2832565665117,45.38329132684171,47.26704253657077,43.8254217338222,43.77468487285338,47.174130641554385,44.71316784270175,46.48402872221011,44.497211984945416,46.690342124086364,45.91976267663842,40.455617209770466,41.909156666546075,42.76171084440928,40.10166492673911,36.902048719901806,41.20336891354971,40.111609514232434,34.83384702200887,34.9461497140332,38.84245510653077,36.79333471984345,32.94638807751175,29.8554812594526,31.25852232350061,28.283104710399112,32.29023815016646,28.47368752319723,30.1268503701626,29.112047927685797,25.652198954160003,24.88377654548126,24.514235775045407,24.463838688063216,28.498601075128807,26.469285100765592,28.75097640759657,26.772555475832913,29.817516024552184,34.521425421152685,37.60184755824364,37.78848484817111,32.70088649340394,35.104940542611374,37.822288336138485,33.430655437506694,32.771785435933246,37.81731933693454,38.97249433051417,39.70391066621121,40.13820748967576,42.639729702691746],[31.197981861975542,28.151791103795464,25.57910171652692,21.41083041591518,19.804589162906517,24.47477962851635,23.770927693702653,28.028200324801464,28.03759073280432,26.16364647573965,29.38512959407456,32.74915248478339,28.627652700940633,27.038435161891258,31.40911697462288,31.67003948822204,27.29308956607597,29.761279597085665,28.535930313915223,30.298495516073025,31.796554191708218,33.86984859832292,33.50941116055711,30.816993326044326,28.944457446664686,26.721369349200494,25.797276347878377,24.673323715192645,28.480824548645685,30.886913889219976,35.44147683841911,35.99017271681217,40.35516770423617,41.930603586007294,38.42106359437262,34.831860539713404,34.44836935423769,31.006107536690205,28.61283332247129,32.336457091686796,27.537049959430405,30.481987675667018,34.079330042579684,32.31559766728796,32.10188740689982,31.289214298304678,34.67205721422312,35.74782789391712,33.091551708170776,36.808283797603465,39.667462519424404,40.99031810769665,42.203034496236256,37.40071180617816,40.952012825631364,44.036243343419486,40.865535291038235,40.094218846318675,44.39962797903379,44.58576575198209,40.68489878417224,43.40611779538576,42.94466005071881,43.09287104263642,39.53324673960764,37.403251967381514,35.35190013483052,34.54280864104316,31.942024519181295,32.543946944093,31.37329759184141,34.05621463350762,36.248576630331655,36.92437239481653,37.80031000166758,43.21102055582398,40.5732737710264,44.667298480335795,42.41674177527407,41.67298779762583,40.54452453490518,38.11050603569934,38.168871379748055,36.24776867636132,32.073482267940015,33.26836578509477,34.70815947561151,38.08877258858299,37.15640143350883,42.53649696701008,40.50857823483091,44.13253650428324,42.21051982689707,41.670940518491335,37.61731878706466,39.54462687303465,35.77949793041382,38.05550839526512,36.61352416766326,40.000201739732795,37.92284284026757,37.45153248900828,36.00212990704713,34.45210244055916,34.08346053976467,30.47960185334925,33.07026992815996,30.385457635433767,28.051195947757698,29.86476729722007,26.53019736952497,24.6179760805856,24.12320835370346,20.702215301228357,22.129950194867362,18.733498991746295,21.055905878318253,17.98207766273229,23.06973551402962,25.101964542856752,22.813892721908495,22.476347800024634,17.724287899018044,18.1640454378551,19.812577369268997,17.583506349320395,21.55956438045284,20.830276855372123,22.65169259471219,25.578371183339378,23.045098853279423,27.270436723389036,25.292468093446402,28.250312857444484,22.35975045840033,19.952777006026153,16.686796384834746,14.485207097197264,12.189097977952661,15.392244683467926,13.17951513459749,17.07460379479065,19.57350736968611,18.88854574765678,22.73161651797553,24.384250175746615,22.071427562282793,24.938852084565188,26.019414490779056,27.077436472901983,29.827641374017574,32.42452649537699,36.91155217262876,39.84353000099887,39.49920088348438,37.31961822246276,33.76716527319316,33.05996266243547,31.566773191266776,29.41719575456641,25.115861597508328,26.823004638572638,21.302078447070716,25.21253495450921,22.411807583165068,17.13795735739508,20.062928402241315,18.974129649173136,17.396841632297342,14.651923132319789,17.395896288062886,17.51004423363811,22.638951250500853,25.892789915084958,28.78502767968036,32.150836392754535,32.22716184872781,36.7214968068985,33.28641624379602,34.236470636718515,29.46795284046847,29.16741733062354,30.1687681592638,30.38444756053132,27.23249274083776,29.44426262382956,28.738254141169985,30.68888403311485,27.333513392428053,28.37174611206452,27.80894518637506,27.33274617999656,25.722716072611494,24.58499858736268,25.895530547720796,26.544382462659215,23.187402057818435,26.622658104671128,26.122709055512324,27.218982234313042,31.020530832423084,31.969062106593793,28.11873786677712,28.380341969788184,32.75891264242292,30.92166389273733,26.45138764226318,31.078616598849003,35.2736365798854,30.816911304193628,31.141060258564668,35.15330762239303,34.49522214331181,31.378406912349522,34.294047473938136,31.867140940920816,37.43012236313788,33.189938569362766,33.80553233062781,37.95956034056905,40.19745475463683,44.57305887836257,44.572708960512244,46.0731471893424,43.070204843702435,44.446770026036155,41.55572710193229,43.77087782211255,43.00636502672328,36.927653243711646,38.494315721207784,40.37025910375835,36.42843782536611,33.71921330264939,34.83930284823996,34.367151971851534,31.192718876334965,28.28338224671529,29.041775675081617,31.336893565749456,35.09351369923284,36.933846951296424,39.397922035620056,43.5361489734341,40.77381978942876,36.77400182145471,40.917611746214504,42.01690835924606,37.1455236697945,36.858635798886844,40.78324416890787,39.91381031578388,36.79607888115415,41.02057468957284,42.96508129723774,39.7486272259531,39.9333979191134,43.31088008718834,40.85715352663975,42.30960554544764,39.97890345950444,42.30749431483325,42.0178463346664,36.44421747789445,37.63267929897549,38.99382747215167,36.53595172833715,32.9661143726333,37.47877069118367,37.03742156980074,31.63928522817954,31.369761053452635,35.797009225436724,34.285857434863345,30.373269054322954,27.279161631501523,29.556857551917783,26.873723072235336,30.555959549308746,26.44435076420451,27.192087627140253,25.95120008362837,23.275498540449917,22.05685682632137,22.053174273668265,21.17790981741102,24.650047451767286,21.859299057282065,23.6165902871229,21.396121232161303,24.946255717446256,29.255227164694716,32.56462173949825,32.51447378940645,27.64732958904449,30.57496941209355,33.2002174917717,28.62359369203711,28.687988670580168,33.8327216742433,34.63254506107865,35.2295409698695,35.39494359364552,37.979147040343726],[32.457844826788936,29.264581957133895,26.349669113920207,22.789652886462008,20.70492688014614,26.00556794440081,25.461243948630973,29.637571318472393,30.164535925535347,28.469029044279285,31.83107072761912,34.94076204746881,30.712132594390432,29.577700403275703,33.84441673336424,33.816333500888305,29.438618078899157,31.91114836662148,30.729852190501152,32.048120432270544,33.54145824817252,35.21648032329817,34.9916845504763,32.19901615597889,30.240292956555823,28.43598605428945,27.287103207682673,26.426006799674884,30.269006689641184,32.59114134669818,37.566282673345015,37.75744997106251,42.22716789230221,43.75404431161387,40.04098477521013,36.49072576960914,35.790945731646836,32.24228182980031,29.575950112019573,32.70060023912817,28.103367859391533,31.58330681783905,34.88407760317787,32.76415662261941,32.50306056624413,31.34916227848056,34.76015032549201,35.95034054218735,32.90502996774155,36.395019791081204,39.513252671785004,40.69846001133861,42.140618016189165,37.55293555238824,41.16114588762142,44.309982236178215,41.354275768148874,40.78814599375443,45.067411482902806,45.20883618587828,41.651709423861014,44.689081007206134,44.421891964604974,44.706221695602146,40.93394110599972,38.85974431478119,37.29919183065417,36.609119723612224,34.36358112941883,35.11711037983299,34.1230213996144,36.95331535930769,38.91436409395783,39.36510794863186,40.06426497074156,45.31319535864817,42.3390136628192,46.38598311850959,43.8671255056569,42.8123597970497,41.50465481131061,38.714000127587624,38.718504192433876,36.41981153168866,32.325193884649025,34.000139892813785,35.71882362724102,39.193901258147115,38.63239986154428,44.15274056258153,42.431377724059494,46.24968300513777,44.44146483152509,43.86756257459954,39.880761967213196,42.014512073862235,38.30297225806855,40.165371555837176,38.60966976609526,41.74943816463249,39.48108774251537,38.60352590207964,37.04008083437755,35.120470942429684,34.18937355808728,30.634529772820915,32.81969056930954,29.780976489115428,27.65511201689681,29.921521409689532,26.93853531305389,25.307936599691455,25.451448437432006,22.054037009376824,24.087254726738685,20.77637711357865,23.15051396584753,20.18717215271648,25.31837606675218,27.44393750602517,25.4418405960642,25.092112198271725,20.418447913825148,20.557711816019268,21.926525220904704,18.962327271177966,22.483339299816826,21.314911199463545,22.59457295644363,25.279901574852687,22.14073971916897,26.100029867463537,23.97418094757907,27.42983570315292,21.533719377964225,19.81631698409981,16.055531193231417,14.736612802155115,13.283831516681103,16.428518244334324,14.667343518457772,18.15896223934084,21.079744771299065,20.258256408944234,23.772854988212643,25.716002907625338,23.48432010122893,26.390358925223385,27.19272147209834,28.575383700620105,30.969188481446054,33.96159759010465,38.16897699952649,41.412108138598505,41.212656483514344,38.837344183561775,35.36813910659589,34.246550060149325,32.91757008621675,30.19384290694551,25.718446372970377,27.730948244673808,22.000078480585547,25.63283260087454,22.1574344674939,16.693137134564598,18.928244165295393,17.25551512718328,15.479848090193663,13.477591306996333,16.403814715761765,17.337837497905472,22.426928308149517,25.916580915224785,29.119022580912546,32.556423995357136,33.14192468190498,37.271876470910286,33.61874095940428,34.28137348441578,29.235782189277774,29.03410266183175,29.388639059651915,29.27107692982531,26.331146036308702,28.838660296477542,28.61167374273932,30.201724339725416,26.632096292238995,27.2175417051945,26.226698325278512,25.927430904305293,23.922049281484803,22.805242898709007,24.02321226849075,24.440786288202627,21.390579873930655,24.94393702464241,24.65521196827776,26.308292338452375,29.911789665151165,31.35263263476429,27.703500815616344,27.590595104177,32.072739897995305,30.758616721937024,26.18289377919023,30.55669543047715,35.073051411290336,31.030871316959523,31.142929544711716,35.13693109413109,34.93313545936092,31.89382952645886,34.45399334295915,31.749192232313636,37.18161004317609,32.34822682240827,33.0013975094722,37.180692431444804,38.988334724009675,43.55352663380576,43.13296565320999,44.7094961248153,41.66332147327817,42.98583897604527,40.24199632266778,42.093724819499236,41.245732003601276,35.338030291989924,36.79486216187664,38.286876075135986,34.37723355993518,31.78585841036111,32.64651801113173,31.92868701285396,28.987879454785467,26.101930852194457,27.364415172607416,29.90134477449854,33.604985820110436,35.74610067527233,38.417548860708536,42.695153459366466,40.19892273958998,36.082511355078005,40.33435192799911,41.74745664502337,37.008708362569024,36.589688571838415,40.74266457426616,40.15316050318629,36.942189299410536,40.89730036489513,43.12064068187024,40.185862631857674,39.98957051121786,43.17113267222314,40.48724623214794,41.72549391331608,39.31039953125061,41.302024351737536,41.117536759846274,35.69273627944887,36.491179965877684,37.69176834517176,35.40048887617797,31.653980917225798,35.77019553851771,35.38220295106417,30.16613857606155,29.532262565019856,33.716350753632476,32.35805156461415,28.56540611997073,25.899284049214508,27.821961788687332,25.57077715413395,29.535676644303585,25.88045589140558,26.68403077121553,26.083088817685258,23.29527133725151,21.622863621532883,21.02725552156154,19.960393108586526,23.54813252073869,21.363277500852323,22.88906319895606,21.437735539697577,25.209099194098208,29.508723477236995,32.87703653144678,33.201420125296096,28.38557177158725,31.233809515117557,34.20384030296883,29.90813138864768,29.90678156931337,35.16054135411014,36.12180355424284,36.90592507003508,37.12034181471229,39.82418247157289],[36.057545108596166,32.9605227246179,30.23314613212674,26.48174069818243,24.606991096151816,29.707799531231377,29.003173091324182,33.1526721201477,33.400303883110816,31.380306865406173,34.56724160835694,37.86437260240812,33.43937470212801,32.02551014239932,36.13091239821861,36.17449756202463,31.592663477325715,33.623774848761016,31.822817703484098,33.26473769204202,34.26085194779232,35.7866940261781,35.16636712477723,32.102155789885515,30.620007376821995,29.087291509051717,28.466439571261596,28.077225111333355,32.17200962973334,34.88704628085345,39.54657375673554,40.18494160329357,44.57792327818768,45.779190265166896,42.11693274825309,38.346360627658996,38.019755360273486,33.97011051066476,31.24129638805065,34.13644894379429,29.205651394696975,32.544983774302544,35.69695124267692,33.538006051889596,32.79888524166924,31.427570375591422,34.674197909994525,36.30150072665967,33.36513826738434,36.64606294239092,39.976919137972736,41.406484632622444,42.92595392510404,38.37601188167454,42.33468884006977,45.169687113069074,42.01294098439332,41.81416402420698,46.07325924273164,45.79434358385797,42.26853843607065,45.407559684042006,45.42998399181315,45.26377038955365,41.4485231886316,39.78017782565527,38.089649746478784,37.83349139737284,35.39172892993949,36.539208779935485,35.30092207603079,37.884504365229965,40.060549424251874,40.21417359863629,41.35213084358909,46.4276526210165,43.54252233156869,47.778000932676406,45.31099386104541,44.126822981421846,43.212364454537855,40.34783235426046,40.82837105735361,38.44469573305514,34.21528592397548,36.00431113696253,37.336195425488484,41.16234932921921,40.21078272121072,45.91196134628587,44.06265076612788,47.72335389859001,46.15173770605058,45.87626896031561,42.047575454558526,44.17492319814009,40.59117360952254,42.708135014832806,41.4129380734804,44.850706290533054,42.339282454239275,41.815357323762676,39.94010366037423,38.359669031238255,37.278537544286905,34.01248983285569,36.301570294410006,33.25974363840539,31.369768726272714,33.598339204024526,30.712851840133517,28.80060639903869,28.884302193480284,25.255964319296186,26.8450543119331,23.284850580675553,25.175674348107176,21.677381935554518,26.283368690765872,28.98811143285772,27.037979455834037,27.152272921614507,22.5492728836681,23.238389790402913,25.05065414704035,22.368215182744777,26.286335778223773,24.97419540638194,26.306575272989924,28.698122468689668,25.68017590956542,29.462967513375,26.988785732706916,30.469644429337745,24.587558727702728,23.034116103895244,19.64488801661727,17.988467062556854,16.19387706751626,18.851881591706626,16.03914033346175,18.838212377831915,22.217360846664796,22.013340268950422,25.43295120558085,27.792907741383196,25.856177522795797,29.11233379309226,30.25901088622068,31.8160993340292,34.459211308826866,37.406196677463996,41.70164690726242,44.95021188516532,44.547218477041355,42.1223930728965,38.51509868268404,37.544918900358816,35.88841164246848,33.39179781965302,28.650326702193823,30.159977249303033,24.30448837467423,27.63416107538392,24.00321179673719,18.433959395499418,20.90985062788333,18.64891538296641,17.631595620999168,15.928386437372591,19.11174540464303,19.998185457824235,24.885789391942353,28.469750373175476,31.648204349017057,35.28887214384981,35.77647617965091,39.851090927800094,35.95326963662297,36.800781049532986,31.567725387867576,31.961533243585382,32.006091116977004,31.580640444739682,28.582433119999493,30.54492949633465,30.101190314360625,31.28727312361918,27.336305413348697,28.28015977921633,27.259338822519126,27.511182816393543,25.7868704860322,25.130910208558976,26.623445945881485,27.228286037044672,24.612107742966174,28.315814517676372,28.29717528230217,30.091812012354104,33.703809189039916,35.25167819433444,31.64817021763163,31.514589852077023,36.01114138202103,34.770070392842875,30.157974639401328,34.48433086130356,39.06539259820008,34.996843017250946,35.033214181363206,39.03206184523775,38.84892174034587,35.693360479409506,38.18358194144325,35.46939583509295,40.93175362580409,35.88546870178886,36.730565649768494,40.92520916731377,42.619954053193794,47.24842932722588,46.700753905221006,48.37059534282272,45.333133407909564,46.62536323838263,43.92787916444277,45.57685969109523,44.7225756326911,38.929873097467954,40.26643380123664,41.523260014917156,37.67994707382688,35.1570939510465,35.74817995700972,34.90366929981977,32.20385357152275,29.270430774403703,30.930324306507256,33.42205081668012,37.11833651327827,39.45840017665836,42.122223094308154,46.4772625707043,43.974008714659284,39.90452980235577,44.2443443361992,45.66481152135797,40.93785719248812,40.57503640209894,44.74793357119841,44.16136107666447,40.95966974243623,44.90417361857892,47.13356670285646,44.17245490795912,43.962511670469524,47.138133421905465,44.42948480928086,45.662334367753395,43.242307810817344,45.137558195189065,44.957771460881105,39.58656655763627,40.286962080278336,41.38835446690775,39.13290102060998,35.376910641283146,39.27913939312677,38.81732590937355,33.71704395190324,32.97436935304106,36.908567719502486,35.52190384963606,31.818979530753914,29.338176503478657,30.82891240744596,28.63654618908635,32.81313530816291,29.347063402252687,30.425269953662326,29.913059082493366,26.90466515529306,25.329666128953328,24.531269307668275,23.637744014165285,27.352720143578143,25.352571707437654,26.793271119891106,25.382258472805812,29.212832227388784,33.45670307415308,36.85727905827143,37.07787986807183,32.30232302366387,35.20482420494438,38.09861200886081,33.68855158110137,33.73118520264958,38.954116085644365,39.858483262134506,40.53696618533845,40.66433129943007,43.27806072871724],[35.529377269819605,32.45530810375731,29.70230808806182,25.524321480576738,23.43430238326855,27.921208074803925,26.65656377693501,30.629962313424453,30.509887522387213,28.029215792383475,31.00885650138028,34.431559991908486,29.811509143971566,28.202791935250097,32.12077551089179,32.22014105504104,27.53374358862002,29.33377967075397,27.34088941400465,28.96545579775082,29.89093932466176,31.624520690262724,30.929804513330883,27.94252884059142,26.479165232542393,24.72356381468176,24.294586727036187,23.916664052094248,28.08086950606815,31.014368791685456,35.360513846890306,36.345710079273424,40.64330621356791,41.68768963927556,38.141045258408695,34.26990607354545,34.26700965762909,30.08386599931117,27.51960704385006,30.818621939855667,25.65696125634307,28.57153743264722,31.92335539733663,30.05462186103651,29.356151226130578,28.32693726474532,31.568649200197278,33.03990013120379,30.49284061363501,34.018977223805216,37.05849206835266,38.6309988683741,39.920568128033345,35.16587674051484,39.10842756411412,41.848917505003136,38.48862277892287,38.15167784107974,42.431924349980385,42.16229326867065,38.36701831127652,41.297016079599544,41.2288571604772,40.95941289921116,37.257225664588084,35.57971168224201,33.640730631873474,33.408053756614684,30.847645792910885,32.081661252129294,30.786794455051776,33.34191457218741,35.523458757649266,35.638121109953595,36.88368691905028,41.965087174906486,39.2246442577264,43.518471101206615,41.20263217656552,40.181592504396725,39.486063555271194,36.87214989916799,37.55515266508344,35.46383367336697,31.123654206870878,32.55577095708311,33.55602756695982,37.429482326154876,36.129054683346276,41.805978003024464,39.787053623508065,43.3330708714753,41.8118913015122,41.672534298332145,37.93115552534634,40.04467630474966,36.57320044729968,38.86234233669093,37.810824262353,41.57512557791365,38.880422242914555,38.861794194287356,36.77229467509136,35.72810871587937,34.95930505637774,31.934897485097373,34.712775282022,32.060380070262184,30.281238619919833,31.99636260209196,29.0324542471992,26.513122081411346,26.258206577745877,22.363060205368892,23.326008893691434,19.585447532936193,21.103299200710115,17.35717708700479,21.775883076556905,24.616941481223147,22.694229917268657,23.073742890332625,18.6111755257072,19.741571611725277,22.057186208355287,19.814978117915135,24.543931119685602,23.09983130306426,24.900121414212755,27.10768357120984,24.930427785048522,28.853315125386963,26.22848061902758,29.09157344276266,23.235071993944704,21.120652335455866,18.653707418975,15.87094137152095,13.320598934631903,15.541615425667862,11.99948789417298,14.843612159815473,18.040718622161222,18.115021359144738,21.673892819638944,24.017064962241708,22.216173070067086,25.66828890693401,27.224461541789722,28.846287975211684,31.90845803256244,34.687044257033946,39.13566169973745,42.37359283585393,41.597358933960614,39.127135676187315,35.352808303457884,34.69617073801298,32.642057428844396,30.676551744361014,25.851961277764943,26.808163752975453,21.068874560082936,24.455349868204074,21.401409434740263,16.024950610707087,19.352980241493455,17.732332981551185,17.207549171472696,14.64251569078252,17.72789541715537,17.72359646864635,22.49840094519931,25.893570625654448,28.773932211533737,32.463175053094766,32.515169173861146,36.8039183762807,32.96603064509054,34.159931023212664,29.114138271106196,29.756777951628784,30.29071122773273,30.113193099982656,26.8318564892421,28.260338939069943,27.25818895940144,28.750180049025385,25.01838721007188,26.53865325752986,26.087744468956107,26.19036668139968,25.094645503922376,24.588434158506974,26.38403621366789,27.536530367738834,24.79877459052312,28.550129944734906,28.71245609118328,29.828917922354677,33.907405884979205,34.90799818402294,31.17245370053608,31.769809206748704,36.17329577628681,34.477742179000785,30.340985223078963,34.94071804664424,39.05416233620288,34.85310179391381,35.34227406141985,39.33331119689723,38.64753527539691,35.72992076706168,38.716175180697036,36.25023718763702,41.7395680365814,37.40092489345008,37.860910630848885,42.00000229122542,43.99581958820616,48.44053148217033,48.14431912511167,49.472356794593296,46.2871196923185,47.38940952299888,44.32948008401699,46.28730259194576,45.803359446307425,39.79075679471109,40.9373875545475,42.73057382516081,39.04950833545022,36.17578595803712,36.82180961545269,36.63118740166029,33.833665072581695,30.329917342206468,31.75308341331467,33.5110892295503,37.33006452786169,39.5894078383015,41.83279950236465,46.16038493435891,43.22361822403913,39.439255167068815,43.9296307789519,44.899554138784296,40.05393077461347,40.13738677351361,44.15286964549107,43.34088857989345,40.437177773599494,44.6825730997621,46.688219453158,43.62108952411092,43.91086723439983,47.23349743184816,44.73975737315799,45.949348185369416,43.378112075498464,45.61743265487553,45.66826994029385,40.132274820571176,40.95132228272997,42.48807182926907,40.23793196234996,36.39634023671375,40.68469554469554,40.568857673699426,35.2875428301759,34.563531803157254,38.95186321230838,37.76204623513999,33.95057128465609,31.17789345980741,33.33119422872316,30.957755254328486,34.77081391229692,30.826345072813528,31.425190323503784,30.27376195642269,27.767286613618854,26.361478662201165,26.1880164084667,25.018427170635444,28.31367517965051,25.41431783169778,26.608065579098255,24.440599660986674,28.433894898439384,32.31824198421381,35.81677938190796,35.46996672222348,30.893827244647195,34.224268020661555,36.66678708367489,31.869975555686313,32.49443913398658,37.58907668707179,38.05829824394515,38.39518086361215,38.22882325732982,40.693468637735215],[34.17371218010962,30.85088344853679,27.47692780311039,23.971443147834087,20.895271644890528,25.933252871454656,24.608740269370923,28.370774161658563,28.983067582721336,26.736222206454958,29.957428181911062,32.92673117200087,28.19034476305692,27.387924546272306,31.197308464724124,30.834728207762087,26.276355625374745,28.379030625686156,26.983262723384716,27.898775856754245,29.278502075956467,30.65889692219231,30.538480992070816,27.748804166309583,25.682073018201528,24.186048130757854,22.96442459990305,22.51250495128912,26.512168045097965,29.075529013110017,34.16102032607842,34.40686461083743,38.876425653132216,40.052003943050174,36.22362457576788,32.55694167260055,31.925726071821746,27.969213689400934,25.147489278800936,27.999413590236408,23.330688232979856,26.957421337675168,30.10715903338496,27.901228724547273,27.620561043677707,26.483466641428027,29.908295070961543,31.039428179879998,28.030271876419604,31.54845114305176,34.60422234480853,35.832100066871675,37.254020509857156,32.665125223358,36.36076641870868,39.43265717534162,36.46615977650498,36.00841653354717,40.28181223886909,40.346866410801375,36.89174103740219,40.07353688621703,39.969055868426295,40.278442502080445,36.37923914510157,34.391256397904705,33.193321044674974,32.72083638436883,30.839024822875253,31.942990728442542,31.131066081988916,34.121161988806556,35.73685410587478,35.790201171534385,36.39280723917152,41.388768058215646,38.147985050467554,42.21766982351125,39.54263800479818,38.273533696718935,37.07187899467685,34.14154172510436,34.43858243778676,32.03796027402582,27.855801295467483,29.688067115348275,31.268827948811403,34.9872256634123,34.40045200144441,40.09963302457939,38.56086043765261,42.473603045639464,40.92959167476517,40.53994577276748,36.803334854704154,39.22000818906495,35.775904694880275,37.32650422638444,36.023841015768824,39.38220683128773,36.49099411746554,35.90198007912077,33.75940729341976,32.243532946953934,30.978591882647915,27.96537478996337,30.434087663066304,27.564079344392326,26.018937274134604,28.01648183997702,25.439987198301086,23.08080910444903,23.568063057434934,19.693122337593792,21.536468895497983,18.036117391584092,19.895287323966755,16.775870903726236,21.677608974322517,24.09288564137592,22.570175147165905,22.598975852890522,18.266281016132506,18.666958978133017,20.502501986762407,17.249824538547895,21.640196397978098,19.552337306718403,20.893593217942474,22.799683103316934,20.34593129011081,24.09044426334346,21.365682789695693,24.45368323775191,18.58783813893647,16.93083129259125,14.279277651420584,12.056559407995351,10.474847597591815,12.768980100408141,10.679253661610284,13.642386879255504,16.835109024361486,16.18321117581313,19.40265940383097,21.77255639227701,19.89058278394327,23.213028480257858,24.3283414304147,26.334849469036154,28.966919605492034,32.252670195784624,36.33645804881401,40.022430616192544,39.370067852797554,36.618744578372684,32.962989031253265,31.7771106233902,29.96958471383274,27.312618848169063,22.370279415051684,23.86266392585768,17.964058091039327,21.260213249946936,17.668735040293342,12.160630586835591,14.866431864403273,13.311577669376806,12.325367947612822,9.888918259007825,13.023530375887301,13.601618777186095,18.448090532666182,22.01260862482604,25.194089820198815,28.86511429807241,29.475249343692752,33.42051485403327,29.49691408503454,30.33506842662129,25.137581575063546,25.613563986106747,25.78676469829371,25.537004670023272,22.39758922718485,24.372258957875328,23.927156463531123,25.442783182400632,21.87340042304194,22.74336233170254,22.051802652506485,21.852211891307388,20.40055682987018,19.70341869415104,21.419695056466242,22.569914438911965,19.934358380087772,23.7663438964933,24.23648459304947,25.46155351091328,29.606127707576405,30.783966298429586,27.229595195117763,27.91938153278641,32.33367037962126,30.983900941901542,27.167245446252622,31.607839812692838,35.713968945773395,32.05248152130479,32.65681246006059,36.57536446455431,36.12950010357809,33.61196980181259,36.51396407462593,33.885899503031844,39.13548148885587,34.722611137094376,34.78371894245406,38.854179537124274,40.53149339874642,45.017289134289605,44.4041893920449,45.4936262252714,42.14525399491448,43.027478173170806,39.87898576062817,41.68201083588664,41.382911108146594,35.41492097893501,36.31208222053818,38.12879905457423,34.625562208283746,31.615111567421636,32.095572587517466,32.19007377938958,29.545873330340573,25.650156539458408,27.33501999556329,28.81221561463927,32.63279012676193,35.11639482862445,37.31700636907151,41.7560327422051,38.88548450321384,35.13460278525174,39.82029523014164,40.88975709762985,36.15062420037319,36.353102077841385,40.54577284616014,39.96762158445003,37.16431767190252,41.24330075926336,43.46750675415119,40.75723121693421,40.89288929098637,44.034120379378344,41.40847021586482,42.28544209941742,39.490327320725015,41.567716449425774,41.95379666148551,36.50953958011169,36.91832160758391,38.63418727502098,36.630831849702815,32.516233009686594,36.64049311092069,36.94303822951135,31.779020388371165,30.624715538827477,35.13530131545559,34.375147951711625,30.661189190188637,28.19612841537656,30.633513154492338,28.733478378444598,32.41967040858097,28.668667865320213,28.74994880865829,27.916231234595106,25.864721639449975,23.95155373219771,23.64703327512082,21.894474881076768,24.785448735424655,21.879910699935962,22.54148703476454,20.823954289388894,25.204060585263306,28.79645446464014,32.42320685836984,32.259136829010046,27.889503231097635,31.392063620239483,34.03500257749565,29.443800553074414,30.379829622934423,35.550109004502886,35.97754437881178,36.425525813330104,36.19063759912147,38.81360948758836],[37.21376321416889,33.86875652460113,30.474598956269627,27.341530105865694,24.359464988329783,29.833941815299085,28.81151610962237,32.60090194537631,33.44643237460744,31.347767922827124,34.61178233370802,37.51023462050333,32.75863317120624,32.06628246217946,35.81898699148951,35.35885024941097,30.77719086449554,32.7095935516188,31.05525676135944,31.754163700542946,32.83397662912671,33.804502211641136,33.53800919261451,30.511515842870807,28.72525887295171,27.738649888339967,26.685243501917316,26.654537851905715,30.729553584023474,33.35316721769634,38.541918880657384,38.72071761705702,43.20584284124912,44.23218846978694,40.30844380291077,36.60870809664716,35.901807833892924,31.698922973868143,28.665551926798976,30.79421850526155,26.21678193866566,30.182170715252337,32.935172561468605,30.39775422036707,29.762828116866594,28.125707267907472,31.42711097677578,32.97001264513835,29.6413865622754,32.72465941690702,36.19054879279793,37.41111885540327,39.123473041423516,34.82783680612459,38.75077564140381,41.680734497701,38.83525234583945,38.800024598988756,42.99775918086989,42.76707005053757,39.68228892973441,43.1783449911556,43.40195545435267,43.553948440288444,39.48448291502808,37.8003628938612,36.89631502267818,36.742633255207636,34.96809365257879,36.327663614507344,35.470258829098604,38.37424193824354,40.01427170221724,39.806980059797624,40.540279174814515,45.323263709543625,41.92002241214752,46.027445789539016,43.19057220179303,41.607832856929925,40.46129421809403,37.195952225046824,37.66137927190801,34.88043203572013,30.77248091687111,33.09121823142129,34.71586923354287,38.63963444116273,38.17570321331904,44.02191780850664,42.648903243804725,46.59333174172345,45.23028511465705,44.93900053902729,41.30400202009469,43.801903815074226,40.41339026456078,41.84306539658729,40.52740030596676,43.76121935866818,40.75424136452981,39.92891296180746,37.67723249534824,35.923081297398355,34.13238799166041,31.236838218230734,33.26240826767334,30.03240628405208,28.705056481724558,31.15957632806476,28.884157657250306,26.868515261679395,27.758743121071152,23.986798304148888,26.09954289369302,22.64334122459655,24.397172142744168,21.162673597635358,25.76284581398029,28.481172228808074,27.08517848967792,27.248520528350156,22.935512799635152,23.330490466171014,25.02476454038529,21.51349491081463,25.398337446059816,23.184455853354812,24.016780782981723,25.692416102901802,22.575474967182032,25.905614339519524,22.99850948085376,26.671263127634003,20.941679043565763,20.134659279207348,17.016198657165233,15.803502178263315,14.858214694642857,16.97981299702342,14.838651794482317,16.9932815049671,20.67421022848927,20.25993050073676,23.105941740693293,25.82481613968316,24.132681011944452,27.504398506756814,28.46643492930351,30.637694680974327,33.005710642629516,36.49229785693291,40.39294021300893,44.2093176045232,43.70132449897818,40.873068278441835,37.28984999984225,35.85509098704762,34.159894724686005,31.13091076742664,26.088513351269313,27.676423216324473,21.698282671241127,24.52733665770186,20.26107925033628,14.728493057371306,16.537487167381492,13.805555903344723,13.024444812076188,12.02940170063509,15.300854722928007,16.800447491272966,21.33949879468512,25.090453288370945,28.506266502283296,32.250578012771626,33.27449822177121,36.83689866434851,32.66508079526427,33.27256385543849,27.791808898241605,28.565411144753558,27.90651768725827,27.121761427439242,24.285482689611605,26.311279347238337,26.30622607967129,27.141358166714248,23.12477984371826,23.636241582928683,22.34301539139959,22.741099101485144,20.90582519093974,20.481923929483028,22.135484505393162,22.96146147542113,20.93025875243675,24.84523161852613,25.514765503270574,27.479489670210878,31.234442410641623,33.014744204350265,29.695331001971443,29.78940374209525,34.28212509004154,33.485207497281955,29.373352791447623,33.49564717847747,38.01757479505458,34.6288981383332,34.8585465021434,38.763346880200906,38.80219975928471,36.14425588745102,38.590049879772415,35.70346595079168,40.877121423093534,35.71256083045932,36.07345348940227,40.1791307212249,41.40288070385127,46.10540524896705,45.0579450512923,46.39358153438155,43.10020079786127,44.013385567873414,41.1609811138974,42.46874594350354,41.95091596212134,36.28315895145653,37.120963275230636,38.300055013331715,34.80248382753975,32.081483375919404,32.19462888833696,31.7614576626714,29.481325792213138,25.851344915350587,28.207047435914788,30.148782728789378,33.83810756830408,36.64445897314231,39.15064876296141,43.70260564193758,41.20763388325577,37.30495243069721,41.999216336754664,43.458954119560104,38.88623251068482,38.82620682357563,43.206777780600284,42.8892823189671,39.90756910972294,43.67616798868066,46.15063472572504,43.62844696258189,43.319138746578865,46.274751279132836,43.41722953449153,44.1811174738451,41.41915968599932,43.07715152926293,43.41936642282411,38.18791028872978,38.260484593564286,39.61652720417767,37.737749643511776,33.572374234581716,37.13530390926362,37.27952499307609,32.394224795976534,30.948032936186372,34.94120265902814,34.18685444361155,30.664810031277266,28.704085115631084,30.39720501107052,28.880638177239597,32.98106622851197,29.807411663464936,30.289602523109266,30.13540753545544,27.66699640271975,25.51411574961251,24.501582451972066,22.881017564461285,26.08867203109794,24.096846427438685,24.726004325746903,23.849878254841514,28.20708627010171,31.929581402846708,35.5200149057166,35.77495202451085,31.3764001919249,34.617241132560615,37.59793285278592,33.295066839663214,33.90438958657973,39.15773308178612,39.84964633732536,40.49594511870395,40.39358353853124,43.077909844136755],[34.728220327232386,31.374859508159357,28.00159020070446,25.190270922871687,22.393127008541715,28.200059478946823,27.65218869337605,31.584883049993355,32.6892850468208,31.079426752157175,34.53040737906535,37.307923486922576,32.89261650921503,32.32863513284918,36.35395543374506,35.93850636218426,31.57271171001992,33.95184362513535,32.801610269720214,33.528114747999915,34.98556072917731,36.12616432761811,36.09387371180554,33.232666206722286,31.172243781971762,29.92649855573627,28.52106602717126,28.038555276341004,31.88276378540819,34.12315387232309,39.546498283834204,39.3383469040243,43.89207781442159,45.28046657350729,41.33662430395895,37.84471851852588,36.79738984124037,33.09697062744726,30.128290246762646,32.42508805562519,28.160702601714302,32.236194660431245,35.10617252363994,32.57731784771372,32.2701432511227,30.720392214082995,34.11577652587293,35.40428157834638,31.920523842607217,35.08462025095943,38.478044011251825,39.476802079410646,41.194285145979485,36.92435625071157,40.56861727355667,43.75422883401652,41.09661020351076,40.80008887918396,45.000997686025165,45.08014503067738,41.994793284391505,45.407701070676374,45.39961093781678,45.85847703707886,41.84364655683514,39.86282125535844,38.960313272129696,38.44576376889407,36.69265690255123,37.66947356748509,36.91536089011119,39.92594943428875,41.54801750944258,41.67160214182226,42.13781278818081,47.11747092045604,43.720527535855624,47.684266583963044,44.83528944165593,43.3792625433919,41.88585068196026,38.66826908051066,38.66098045595791,35.90689311608695,31.956874371027062,34.21995614262811,36.2247612504047,39.815589772191586,39.69571635261357,45.36513655815175,44.05198316662561,48.09054848220576,46.47512636523018,45.900924604369244,42.06653460478561,44.47956694674544,40.905042338178994,42.224416756293486,40.60558721363065,43.489806821794645,40.881618943560824,39.602572879569145,37.7946698058513,35.54767516200357,33.872009553098614,30.555205414043247,32.26792641761884,28.87048312032978,27.18972053456816,29.910805398655096,27.504553458011124,26.075077026538782,27.016081744556697,23.621721467836952,26.221069637204018,23.03399730891566,25.31598501146584,22.51534558768892,27.552789102946818,29.787376211566,28.200409535565925,27.91045831249495,23.442612964880627,23.335483532113095,24.49454318897697,20.78617113557332,23.903047871582626,22.05735581493575,22.662931021982004,24.793441864214593,21.121644161670318,24.569733092316795,22.148666367562214,26.108171569136275,20.373242421030533,19.623690536543833,15.668980030067383,15.33285889881818,14.88255515426742,17.62222046325363,16.397926897137328,19.20704497927643,22.508204069461534,21.583911919371914,24.565724905001954,26.8636567199621,24.840762725042786,27.803104281184304,28.339563967274366,30.196941131970135,32.2041239793619,35.676397984098394,39.49434738180736,43.174788231466934,43.036069049363235,40.368064662515955,36.98445769797962,35.38555724929452,34.15864218759597,30.82271018076577,26.135244427840608,28.357549562661006,22.505027486622975,25.634962668840345,21.410088867802735,15.966051241742342,17.222061187716285,14.80460418699441,12.971265384502583,12.161824060973728,15.165223402415577,17.05483364154074,21.818288987200873,25.51306133231487,29.018900538796743,32.52844520891508,33.72110591949861,37.32000023601077,33.39605944304107,33.72900755850008,28.394320464648995,28.46249809239419,27.94211127053369,27.357391882468946,24.720908996646067,27.455662789391955,27.807703544805417,28.898955437871585,25.13695965416645,25.153614186002233,23.654691098361145,23.62413633833822,21.217118567591413,20.244899650634256,21.41559192287096,21.668844744135694,19.243727959670817,22.95163769176584,23.162873024293752,25.40903987015404,28.829257657999534,30.811386697964537,27.50335717275549,27.131806930879428,31.651632231045358,30.997997763127206,26.58152443961767,30.57974023915944,35.31727918444205,31.932187024604886,31.923794276367957,35.821213968138856,36.095074375575955,33.32628346250813,35.530951107151026,32.55179665591709,37.70609059821328,32.32323634520365,32.841361267399435,36.970445981434764,38.176819808709745,42.92018811743419,41.91294232317581,43.44080837331352,40.27689261816906,41.39850954119971,38.758133249002455,40.106576702943606,39.30436180941106,33.65566250732816,34.79870532846084,35.851868777925176,32.13119512508489,29.608879157292268,29.996005478211064,29.170766929615173,26.674623244400856,23.57258852499156,25.639065376927636,28.178778661432784,31.7942610620044,34.39783771779039,37.187751107615945,41.64634533268216,39.41392399981264,35.28629167881595,39.74313871827171,41.446225958611976,36.91733999635491,36.500220053802195,40.90180131740267,40.66043166072106,37.474993957298096,41.096381539085215,43.64013330969517,41.12685146849904,40.56405457012341,43.468821870374306,40.54211048598229,41.40557224663306,38.804355423678416,40.374653467518804,40.48159165380487,35.29368597489808,35.47966972149149,36.60375309151562,34.632312347353036,30.60014138924776,34.148534978673155,34.0345063617669,29.138491930853757,27.874046128011873,31.77491375842019,30.816643541125924,27.262895096991773,25.275818604363323,26.852297581538977,25.3254378724216,29.481833603844834,26.44159249514743,27.08248439907677,27.196145651319643,24.55222434890046,22.320922054410644,21.097535526474005,19.610328925369405,23.03197155488129,21.482816685712187,22.441224974510376,21.92139715420612,26.005866056205477,30.032410222515686,33.484662657901,34.126595076453235,29.551887567359245,32.42792579050686,35.677475152207336,31.680515899799666,31.837917822050766,37.13457562071536,38.13564794924781,39.039317930362394,39.19814447347355,41.99650615637298],[39.34397299434072,36.13678096574993,33.116827950673134,30.002696075338257,27.71872731317836,33.330226099202285,32.752274301061476,36.77563918072642,37.50431084728834,35.60742619607047,38.895442879533604,41.94921773736453,37.385232428828616,36.40140219095913,40.34731523185753,40.09020155507381,35.497555635838694,37.42444621319912,35.56301001783014,36.5102841681683,37.37213946962844,38.36058501702533,37.81682273668872,34.619464399552676,33.181816904799454,32.23652822346159,31.48970733688057,31.500444774261652,35.62936902214174,38.30934704050021,43.33225706144353,43.66541822287839,48.13217078757867,49.18760956086184,45.32440068694323,41.57771201547216,40.98057535913962,36.733238489729786,33.71803630987401,35.767152121225664,31.107427478478417,34.97946808188363,37.6677210124941,35.09446816845789,34.167583497937024,32.31705051477381,35.46979713145791,37.35528448202108,33.99756368376413,36.830463049947724,40.52165760532633,41.82428395270661,43.64987473699206,39.46470916394956,43.5476224003171,46.33045173014329,43.43489925939034,43.610605268408875,47.77856820748919,47.32290897040477,44.28891169575815,47.81757397793526,48.159609846764354,48.04374374910489,43.995644438403325,42.5227159827483,41.407826004777014,41.39379133167167,39.33722789467582,40.727730959846156,39.64352591509521,42.32668800749856,44.27284135362396,44.10360747879145,45.12618454940948,49.93657023902765,46.69109847128304,50.88494943137077,48.124655424159464,46.53563886785358,45.51888890566316,42.229290210224,42.77106386526097,39.93282430633882,35.83934835776133,38.2117981578753,39.75335348446397,43.739118639912846,43.13913025897899,49.003812501107426,47.50086057802488,51.33109314143174,49.95994011541351,49.717583388350484,46.020534777848944,48.374521979280104,44.889846742634035,46.59247910567503,45.23701421035359,48.454354563051865,45.67298439961538,44.77831002813386,42.70313954999538,40.804074523713574,39.02910642181747,35.965936770101386,37.76507172411392,34.36192103582994,32.846415152310485,35.53727979952372,33.13575142305142,31.489665847674406,32.233867734273346,28.632344371737137,30.71760291625268,27.240225552111937,29.07431262351055,25.658732980709356,30.13566604245546,33.008265969197176,31.382660928707747,31.558235766391828,27.068878251145108,27.55147410708114,29.161009617178266,25.86755912892974,29.353851887674892,27.580463581961975,28.308223946177378,30.26296103737999,26.68571185130699,29.940164253253446,27.241644591530367,31.231694295396146,25.563265460943768,24.920772517112237,21.2843477148174,20.536919483678847,19.544994420884986,21.943046426670907,19.51666928754049,21.62701834210566,25.41306365429471,25.19319445618687,28.135691422083106,30.85519808288548,29.108821541312913,32.42555316701439,33.33656597954019,35.26466621628886,37.55485961810362,40.90101961534164,44.87522502959697,48.46562737655868,48.174413258123685,45.52317959678028,41.996855899716486,40.60848928887668,39.06799100775812,36.01704677960285,31.098719992705302,32.78865693989669,26.816167229701968,29.650933093279495,25.301586569737466,19.789389099789716,21.32006981866209,18.199505204137903,17.34148845955848,16.87677400976902,20.087052421315835,21.83592527070921,26.385346631261058,30.15384157679822,33.61082426572118,37.32399544958187,38.37356394972912,41.94646226384459,37.773856095984726,38.31048034664045,32.79182501040185,33.481317010261,32.62840500065429,31.67667516428264,29.02704445297107,31.119505735372158,31.230873492283646,31.787728058989433,27.545190003608376,27.96581921076664,26.364339909092305,27.077084601371016,24.99177888779735,24.58907192829544,26.00274434743832,26.34907765886658,24.447885210420313,28.20200097321562,28.56399389225284,31.02304120926947,34.30225298286884,36.446103842856594,33.17787466117048,32.61162933252281,37.12985967681586,36.55532924669674,31.924208889524337,35.84099055185737,40.73446229857772,37.210896220835345,36.99059390436276,40.904304856001545,41.25484992363121,38.20540666010028,40.239297367095794,37.24190890210625,42.46417189358219,36.723359103396234,37.648042158743586,41.801002927369275,42.883175854976145,47.701204736061165,46.57516352266031,48.34809904652092,45.294671591683645,46.47935197738891,44.02418328738102,45.09812221544753,44.15258664699899,38.73039783191361,39.84297737502357,40.47660758487967,36.78726466385828,34.504189293225565,34.616824847260226,33.41316196454572,31.219411023854146,28.380805899827394,30.81426330473385,33.5100737355626,37.04606705873298,39.798468633233654,42.67029853434085,47.16474066424718,45.02236520807959,40.891042607438166,45.332471534712916,47.11878301668003,42.61539204949914,42.12490722546687,46.52580414218473,46.28064690419978,43.01327610764198,46.588421380442696,49.132667117789836,46.52968876790455,45.87206858264319,48.774340416833475,45.80918418555617,46.75470138639382,44.255254348947744,45.67043968075239,45.63700466275068,40.552891375995415,40.71471069189366,41.565685922963574,39.581234197650154,35.67320690993408,38.89861724687766,38.50257346355459,33.802035997163465,32.55721482892544,35.97027779956206,34.82345090041718,31.42217618430061,29.648147116889863,30.48185643110189,28.95393743740216,33.42545189142982,30.67267750448768,31.856230089210722,32.10782423904736,29.00597334456302,27.002930727737766,25.498257603962053,24.464526989371063,28.186056268430907,27.00920429027198,28.096402804377465,27.59492904840247,31.585162672898996,35.7118661484536,39.13829147346232,39.74755224254955,35.10598985720707,37.9039070703695,41.12565561300469,37.03077519168683,37.02534181040357,42.31613548562959,43.37220805015382,44.226966475436484,44.38237053541645,47.09576079237823],[35.5061032384394,32.27823883583222,29.16408839296879,27.15308984713759,24.9914040181563,31.200644288631565,31.491857855647087,35.53648131305646,37.000162916480214,36.06064358630857,39.674711401453095,42.286462737803994,38.30964408792144,37.869359786560224,42.13263023775051,41.75843942188553,37.62274840371865,40.308992162469416,39.441123052829276,40.131694263268706,41.721550146661784,42.797410429715285,42.84103047265236,39.966532626806476,37.889309643696656,36.690611202925076,35.13761379775905,34.48911140989434,38.15263361560818,40.058942779122276,45.69188369302154,45.09662107815896,49.69289796412431,51.36227020488312,47.37668653773798,44.08010493698523,42.688914626659106,39.350467841901434,36.35352821089954,38.366366643203925,34.46007039496963,38.77107749778116,41.503507031661265,38.79513407357902,38.52866464803068,36.74769187677785,40.09806458354324,41.457131570776546,37.66437383706705,40.55212960457333,44.13169944942141,44.91592978592646,46.81747183518129,42.81393352639436,46.33152948571424,49.63811383453137,47.24406532834368,46.99095187549572,51.131539452843896,51.29381819601158,48.44727179251537,51.96663998712229,51.949305192363134,52.55712945242358,48.50687084872486,46.46663416346575,45.684893749940464,45.03749989020058,43.301959500623234,44.06062321730393,43.32895800817928,46.3331789523114,48.020389501176744,48.32813375226948,48.67484327027871,53.7277239209554,50.28066876358093,54.13287642279398,51.20193796586733,49.69066988112019,47.91744056019749,44.56251212359774,44.19986778627789,41.26023553262242,37.568769867504614,40.04291184121469,42.40399279298546,45.77642659082676,46.03926591324539,51.59902995539719,50.41944456967887,54.53445167219681,52.77283628657937,51.98111553339461,48.007573917244365,50.33437235028961,46.600099145596594,47.79196039566246,45.85523733095742,48.25636381053501,46.085569445226064,44.17904998294749,42.84135093413813,39.93020875683605,38.08428196662603,34.43529174001459,35.40437334531466,31.649285707878125,29.736109956094182,33.0179890855625,30.72302543464687,30.27663574589441,31.435956060594673,28.616440646996026,31.730828553490763,28.863061589645067,31.528173042937254,29.010801301357134,34.21526790777356,36.20855259237431,34.47469123396509,33.854481293912634,29.2843440088124,28.759948335009494,29.299914137526134,25.467456656807922,27.274864086040196,25.951037997641233,25.951303517997484,28.38065048775,23.774081067755336,26.82490642530906,25.034037406736957,29.557437503638848,24.225791173060532,24.11159276756179,19.29109796755272,20.411546081236878,20.63023465503568,23.698532070355977,23.052079138657874,25.95494706960942,29.19340407536702,28.030668036171857,30.933132097247142,33.01883502050825,30.820105961818825,33.376194946775456,33.398792662731154,34.93729840961518,36.34600823269239,39.814711597222434,43.372359254577994,46.865096004646674,47.29077980976362,44.83281211669402,41.77128921494312,39.886306838663046,39.27020733173741,35.46051005133126,31.214316244166884,34.062066677717674,28.395747489791148,31.4833075512629,27.03040865729759,21.854640058467854,22.101322914928893,19.43217890130508,17.00225593781211,17.301398900074428,19.827020708644774,22.416464278793256,26.99453661048171,30.62005704886138,34.267901832331965,37.51175686608937,39.10454237928284,42.463194393627894,38.69824849735269,38.59227487617293,33.33853233229135,32.85666283385234,31.931575457921472,31.194284575080104,29.095966287831857,32.48452798275042,33.447010021638626,34.30318852488466,30.561645543977974,29.877491413120516,27.79411683077561,27.76948260877133,24.61819962306532,23.323788387510284,23.76769859959451,22.94693615349809,20.73635237219009,23.89658331285511,23.56430571048876,26.74345903518624,29.11770450286919,31.845215254546073,28.889461492187703,27.29034999826946,31.711906801546565,31.765733029692715,26.77655578736462,30.10055746303664,35.39988065950726,32.308553416113874,31.55628919058398,35.30465386150978,36.35569012125487,33.30526226274283,34.62537043485833,31.368592725405605,36.28777174167359,29.9180082473354,31.09193699452065,35.1764966903178,35.8912131763893,40.82064489902457,39.48794941305371,41.59995318144938,38.803200452496114,40.294673269869335,38.36345495051467,39.260274531518256,37.77414679340025,32.64137690057224,34.20106800656145,34.34475622827947,30.36659697517106,28.615110975577753,29.054965298285243,26.981628164143576,24.636416608296955,22.98371641328139,25.114618259875925,28.919889861943776,32.13459593862856,34.619675614671884,38.032892080153836,42.33335129462727,40.86436178150272,36.391176897871524,40.35867587272603,42.71664134266295,38.49848280900623,37.32914328142604,41.79085936981547,41.866585991816244,38.2906143179268,41.33889498984548,44.1295862909833,41.80277046941294,40.481451733505565,43.093359270555055,39.92020904580961,40.85952553391122,38.63892713853673,39.64401961567141,39.27927313550229,34.509524565460225,34.59346326665445,34.903786826386494,32.93206674268718,29.26638426707117,32.07321005826705,31.26608502468668,26.83526655967143,25.69565912891606,28.635376199566934,27.264921818052503,24.00629346381346,22.627243124484252,22.905860750193348,21.81748368641425,26.42781914998449,24.397268828233496,25.82112057651693,26.99770384621348,23.721893358393668,21.366781878817346,19.103525564980025,18.277803814161267,22.193441993122295,22.366776044640197,23.7779172541125,24.415705737187114,27.815066028811305,32.22469986465168,35.318276008201934,36.788225153057034,32.07526842223265,34.10922825871521,37.88655306709145,34.614084478277285,33.8517475558894,39.11278442820236,40.739676132748585,42.11636517471805,42.723682068632634,45.65842837297616],[34.5859460713202,31.53041392518911,28.914718026935788,26.187398225488025,24.77295262527314,30.595683179183826,30.91808161250552,35.212540790328056,36.126628226588366,35.064300437037666,38.57729632495344,41.53191015786575,37.65929806892061,36.6633451650394,41.11006042750851,41.082310423255294,36.863434566105,39.5126635567452,38.4273394470593,39.628024992978396,41.09201131278874,42.54097869232438,42.296251323031626,39.362194337988434,37.51579419467206,35.97532817167929,34.775793030630574,33.97797520933501,37.74195440872482,39.84113345723058,45.04467266637551,44.906123492882415,49.431296901090626,51.1280323171284,47.33016669544066,43.90033325711827,42.89401831488751,39.492412142371656,36.679578307284345,39.283719688524165,34.95471367109962,38.81407404136874,41.8542978102444,39.42336568992127,39.020591367873976,37.442223342265194,40.784453456284155,42.24018886055553,38.78249233855088,41.89187178172759,45.3766143804764,46.408215886747996,48.13994277951477,43.85466558029286,47.50197418967618,50.694734506899024,47.97136591534922,47.63159212282972,51.85473271646226,51.91689733792788,48.68959896811686,51.96314373489797,51.83744883065544,52.14981046620262,48.26203865661937,46.27745874044184,44.9231106079615,44.274049484160024,42.06943279859865,42.76503553812302,41.754461779890626,44.52452896986115,46.574758138235275,47.06310956771689,47.74833273001146,52.97923047101428,49.90008253795613,53.89808397179947,51.24085066920271,50.0019055750842,48.49880269227813,45.43466945469147,45.23724796677726,42.60447684067189,38.703233491849616,40.780535337841336,42.81220362426695,46.23393919312539,46.01738894146468,51.54325139557519,49.98186385105961,53.875964250892594,52.02065897003145,51.31663264533744,47.24730037457839,49.335166135491654,45.50681634786562,47.239984001527745,45.415011726323975,48.115991017887154,46.167815801128405,44.67801397522433,43.450015273547145,40.879055048658195,39.58423944434979,35.77936957007053,37.19460425077553,33.68884679293906,31.437491584292875,34.372138650253895,31.57769236630397,30.89166347999283,31.397222689803748,28.493106589722874,31.087156461207215,28.04106529890519,30.675019326532155,27.8751669357824,33.01648930038405,35.10483147343222,33.04435024152728,32.49418111404442,27.76165065991266,27.55330883227145,28.34322808171048,25.135752223163504,27.35525991319828,26.546643704626362,27.116312949165533,29.96764235453026,25.75398557818317,29.27629068300965,27.538913774026806,31.741038188071457,26.122901914941604,25.26766347677173,20.560692945795676,20.838184226120934,20.258706670895993,23.560946365908308,22.241956236658297,25.457436699296398,28.61370508840595,27.693293045792124,31.002233076873452,32.976299431206535,30.67608245911362,33.31429770535856,33.64112122398003,34.848071012799146,36.64619902419901,39.7182521003101,43.655520558417635,46.7732188913021,47.11843268120912,44.898392368687176,41.715869941492194,40.256490664802435,39.468998397230024,36.18334545177131,31.96742981277583,34.54073828642496,28.832582892500685,32.26636096100926,28.225799387661738,22.807681968961646,23.91928095066187,21.491059227589723,19.27495692924985,18.686807004863326,21.436242946137146,23.38232904842473,28.298995903089168,31.886404544326474,35.35351912533119,38.65276547610615,39.74455268300769,43.55062751797291,39.88129914927404,40.10277977907288,34.93377435276956,34.43308310479983,34.107115550102115,33.63420880202385,31.1999886789912,34.275520647143544,34.71746227679594,35.842617034793506,32.03147802464232,31.924036115525418,30.20226087456249,30.166551599155,27.388597216151737,26.12446160680427,26.781991096916805,26.236789518380924,23.555567059770084,26.75197225050039,26.073931641127512,28.802692236743173,31.39114685413855,33.695944175236384,30.405645983127705,28.990555547808597,33.43692464222035,32.91560953469859,27.658883394633122,31.345867421771672,36.54083536821347,32.78804175248493,32.05776126544709,35.931956061530954,36.59455116564097,33.174002344134635,34.74976610475758,31.70697758140856,36.95404888836272,30.931699376525685,32.38256069826239,36.556198101749494,37.81855646939048,42.62155465924198,41.81465541341504,44.04824101180398,41.373255689645255,43.067530692271646,41.059873441511144,42.35877784399512,40.808136296360765,35.444390969000594,37.272860481710886,37.750550840192176,33.59395391602635,31.78006233780814,32.57477970220827,30.57695174234919,27.865059638197607,26.3280141362394,27.868515439335024,31.681857096539744,35.02329615849358,37.17637849946114,40.51452567306942,44.70682337726303,42.999268821536205,38.50425095008401,42.33447877235488,44.46699593849926,40.03434401258203,38.84266373335363,43.11692238459315,42.884577216396586,39.23461238692456,42.586941918511656,45.10668288679428,42.362697840965886,41.32387795762193,44.20026947837416,41.220418207878886,42.53630354364951,40.4981132991991,41.85851497758486,41.18658158815021,36.18978815153511,36.836114589998985,37.1588097824106,34.86525279806038,31.466354320255867,34.7652452713542,33.62340946803518,28.890959791767255,28.35506249681275,31.49408075150335,29.670453299012728,26.183237923716682,24.145576980009736,24.565605863460416,22.6797906005429,27.271491748648756,24.70298529146683,26.50360826840386,27.090885036947558,23.450113159077784,21.653711511037656,19.85133673708093,19.5606213461257,23.796813096846176,23.458235948872726,25.404819643534356,25.25263504097742,28.435497102103028,33.15960493008969,36.20873129659139,37.41406100428359,32.43637803614642,34.43081036666857,38.000838067675275,34.44381788723943,33.4610508754612,38.71581033707862,40.35804043451317,41.63957463539143,42.308069805536995,45.15326634033658],[38.33117387036454,35.36786196651893,32.924829138427725,29.93625885008323,28.667738365947695,34.31962214537419,34.462540839089705,38.77756391313363,39.428419338851704,38.06420027183787,41.452356955052736,44.59882111536272,40.53358831816758,39.278888046871955,43.625679008803694,43.669977322105986,39.256124472825064,41.56108379307846,39.96882866232919,41.286202755302945,42.34299810091523,43.67335854465733,43.09386261599655,39.94178365484721,38.49920937057631,37.17449589359951,36.40052320620029,35.96491391722257,39.94966864791949,42.387119347953984,47.338481236579945,47.589357590154904,52.0665489038103,53.493172959452075,49.732061768240236,46.1020020027373,45.41461179309068,41.583376264207075,38.71533974729984,41.15072314285177,36.53592532736475,40.27655528306566,43.19575073023709,40.73366612873395,39.9265446475778,38.16285121761373,41.34708699196297,43.18230593110129,39.821867555375704,42.73077911411272,46.40133735896413,47.64467793027101,49.44539466807269,45.20011586032937,49.15235156936139,52.06999939528598,49.17466614207264,49.154869349712406,53.36062286170073,53.05337175036662,49.85817098891343,53.21596675876523,53.33950455567472,53.2579528558333,49.339293629347196,47.70272206009829,46.22707663120919,45.937020705310466,43.55389109923191,44.568091538537544,43.34506990577681,45.903837691367265,48.15009572647002,48.399252185160385,49.46294524866522,54.55903491977123,51.562564916616374,55.729080343380616,53.1186505689519,51.77201662915266,50.60711453668139,47.47882807291779,47.69009660869105,44.98440196062389,40.95267306812421,43.12122539883171,44.82828762208533,48.55554411965764,47.99821188897395,53.68840438447303,52.004392947214455,55.76515945841902,54.10424096604711,53.653845457473466,49.70083085301754,51.781382426484306,48.04227598796784,50.01884736625941,48.41186782865738,51.39716325574502,49.234748191419115,48.06258141297304,46.5587233850426,44.28571885428866,42.878750261597126,39.30236596044915,40.85590260438185,37.35549551304562,35.29834231222867,38.17363501020268,35.419041175930076,34.42864249107058,34.849793744433995,31.693604787413964,33.92495216625232,30.6336915292078,32.91837259444255,29.686287859825764,34.447233828701386,36.99127261607358,34.95009274364488,34.760798762560654,30.03713211106846,30.26753974284553,31.45159877126109,28.45428833898086,31.13921108303232,30.19175037427648,30.88141081535641,33.51038094294058,29.44814593902719,32.86777708748284,30.80045607083071,35.00234429916397,29.342013906026377,28.538060898170443,24.148705688922373,23.984694795309725,23.037058899405057,26.05851987638396,23.951308524628157,26.704905733753705,30.189138505122678,29.730173274509422,33.00276671303146,35.30905501917124,33.21870004221511,36.169012846389826,36.80352920028936,38.16105966136899,40.219413844124475,43.25912970582051,47.31650323513051,50.44443595600614,50.60107586960862,48.332791545110766,45.00292680949548,43.68510365191101,42.596441857885004,39.50839381039271,35.027664922253315,37.18979612450565,31.33455638319171,34.56889620772096,30.405351968096028,24.87305063904185,26.230326199724587,23.35522250549195,21.771576449606854,21.30081968504815,24.29679764489778,26.14780536145315,30.97466989781231,34.660458487305824,38.11930340624089,41.612430412067226,42.60548301267065,46.40067508589322,42.51011412251285,42.90249882630879,37.555932331577964,37.56090156258259,37.00118232265515,36.27268390531173,33.76654322669159,36.37662726789295,36.627940055550965,37.416305948875234,33.289713030545,33.48280481260258,31.735781239585734,32.17502651914248,29.656429897761797,28.798875585298656,29.72178427018599,29.390397223272412,27.08288678772252,30.4338876309687,30.024086075920927,32.799940095586855,35.45628063151084,37.80523202753983,34.52381562075908,33.17402407649018,37.624841566920296,37.1162134652435,31.86426337864051,35.5435138625038,40.750812392615956,36.944302401080684,36.185668645075424,40.05839122738542,40.69396978798702,37.17274306084559,38.72103045140413,35.7093006388858,40.96702641423024,34.833653676331345,36.442801079415545,40.60176338909065,41.77227078458151,46.59509700666497,45.687352227431184,47.99868276871347,45.34541619724514,47.00259345621147,45.03184154753835,46.14967565394479,44.607351826539706,39.368596204720454,41.06846908617039,41.33908649318222,37.2793723133709,35.52390102579642,36.058858170401,33.98297059602838,31.53224650773619,29.91118751065281,31.796632345699987,35.49046276410383,38.8351064482518,41.1636014003356,44.47003404892768,48.73201167187901,46.99499311813641,42.54936760283457,46.47064027649923,48.58735217040592,44.143705628905465,43.02744214852822,47.31279024847745,47.06339576072119,43.430052773871296,46.799346281837806,49.30724558279737,46.51963671694833,45.50124244004071,48.38249560534719,45.39915712823733,46.71656392821109,44.67474596233282,45.96455034778175,45.300801695864976,40.35913306528493,40.92927916136819,41.177473079884294,38.9258833762597,35.53853756588623,38.63829898884466,37.44210778882183,32.8590953019895,32.23293821246843,35.11299240447895,33.284172178328404,29.93720699409645,28.08324503519858,28.11062239805972,26.295425503764704,30.984495707680562,28.587091774855335,30.591398446082056,31.165989849651815,27.389030350090636,25.739683179492918,23.886901646326624,23.722676548300242,27.975227755079615,27.642088755783615,29.493048393373442,29.24512292910593,32.53837610212132,37.2191481091462,40.32314063662711,41.394423199107685,36.42397015646388,38.51831311970897,41.99882422108396,38.281556675490094,37.37090522746825,42.61516854614566,44.19101605033862,45.36733606137808,45.954425569497204,48.727358271627466],[39.82151509043786,37.11304852385625,35.150780827996115,32.43250336981431,31.88422511312639,37.49418776766119,38.141449802882796,42.57125181969315,43.205626953625114,42.20316190381978,45.62083948956943,48.78821797637276,45.046924171633854,43.65632823804371,48.19222441239574,48.398777387040006,44.10146806420891,46.56702530660586,45.066559505052055,46.55050741129522,47.64001584009898,49.07441240598392,48.43172203866736,45.260060836664714,43.89330560748149,42.46905663075287,41.72862526761658,41.140091536478174,45.050617582571064,47.363437414953566,52.264664930640244,52.46657432284064,56.93545622283019,58.54292020885182,54.83377624314928,51.26792065037082,50.526383299304605,46.88109146458582,44.060736838410165,46.55902612330362,41.98997662742052,45.70757119189746,48.66515664821099,46.20418156899823,45.378810083178394,43.56450168802455,46.714866591583046,48.6199632454848,45.206032838457325,48.042230399714946,51.78573736943678,52.99558250062201,54.843590623102145,50.64186850406579,54.57199391057896,57.520098902968165,54.64972535000931,54.62019818759176,58.825638867962844,58.52695988204673,55.32273136655418,58.64423782833663,58.72017729021462,58.60495705406758,54.734884975097344,53.08577295763878,51.45774240692851,51.08696025886285,48.535754702159494,49.38887968065791,48.071816673621434,50.51198628322949,52.94262251783028,53.377381271844236,54.50755426534735,59.71236603575952,56.841487279215364,60.99950046146231,58.4511673593389,57.18007856918679,55.954234908316565,52.85384359877273,52.918980902197376,50.21885676788404,46.24873648457824,48.393542513442405,50.18769613466491,53.80871414603484,53.29064226094355,58.90361582549598,57.14414273905267,60.85554951194116,59.0676426514193,58.52253761110971,54.45242719715023,56.3726646385106,52.50962446754604,54.62918430287522,52.88031658626474,55.68722282693824,53.88870032664314,52.511622556700765,51.33130001977035,48.80514261572362,47.514103873096346,43.69594532704563,44.99250508315845,41.40030139944994,39.10195680109058,42.13982875876245,39.27951961539592,38.751307008668135,39.05516506504931,36.20393672980853,38.52687464705292,35.372269304487375,37.84738043099155,34.705913450726214,39.51917024430175,41.93693252872183,39.704325757434205,39.349314150761764,34.55945112638812,34.661073305521974,35.574356833872805,32.7576737341179,34.84819260347708,34.3729084680299,34.93441763275393,37.850841567590976,33.466285603943746,36.81064367233346,35.11078698305358,39.47780247087813,33.94158024331401,33.21353486529627,28.46824467269105,28.738534076110394,27.903435262226022,31.14409746238326,29.181414374748673,32.09357154632178,35.491274065185024,34.963988966218395,38.32883245212272,40.476797829394414,38.25248117093222,41.00189577225466,41.45725833207873,42.50849895586443,44.360631727124165,47.22160863538209,51.25740559772723,54.08991741935148,54.56372590234453,52.535845901073124,49.36227847442377,48.04923539462574,47.25293800393352,44.09608941647063,39.874987758401716,42.28787340098643,36.50971477728897,39.85153459043137,35.693990086999044,30.196720373490397,31.331199511037752,28.440625909776507,26.61023342712628,26.350093374182407,29.20051536000391,31.195867878532127,36.05790242994951,39.70317239297251,43.18277480604298,46.55126516607463,47.58614308182245,51.415980349710296,47.64885711071662,47.91415615461099,42.635807144665904,42.3281506352025,41.76650217348077,41.054884894315975,38.71714683577387,41.58061302830847,41.98358133691074,42.75286669201054,38.617115469163544,38.62977715586009,36.70242018542272,37.1197913119826,34.347129413446176,33.329416281708184,33.94762164063897,33.16011854841301,30.836621627109544,33.850456908357735,33.020428660095746,36.092328410189886,38.17500654286209,40.76003609901125,37.60458087347995,35.625379554917885,39.92526207240825,39.62154520171158,34.0199736516145,37.32373712124737,42.73890042184748,38.896156883065245,37.6650376389948,41.39945311497615,42.367104099327335,38.54482064156453,39.55055373905348,36.53754938403309,41.65225226601903,35.140186683884274,37.336704093959014,41.39580892433353,42.45627204364875,47.24614214716838,46.38467261438408,49.14747106086282,46.86149730439118,48.842453513647726,47.34222293463403,48.32040709767758,46.30910963305223,41.41379496543678,43.46681429604657,43.27695786558434,39.0569636158612,37.81812262359931,38.515895731123116,35.723471020963444,33.30125574040296,32.66710353771869,34.30561156008232,38.671632486105935,41.77916209301673,43.8637544274747,47.48877195954512,51.56342914140635,50.22312651822013,45.59494218357423,49.10428952494074,51.52196270608701,47.224204062484866,45.636650090918174,49.8234025087553,49.64381238025859,45.76699172380196,48.84794283115235,51.360737999549585,48.53503516482637,47.148238299959814,49.9105707342805,46.89784301499471,48.43082022421885,46.76542172785219,47.81764576435913,46.69048821562622,42.02568082389036,42.77748419572961,42.4653802785692,40.1100765969229,37.191896799562144,39.929328002512165,38.10083883781213,33.86012122932867,33.630685635864026,35.81562734611669,33.5119297508487,30.42275176948294,28.775438049747,27.857091787662238,26.04080287530459,30.83297883469855,29.046683293303545,31.731297898278978,32.71898011214468,28.488334906848557,27.13193926714035,24.91625888505775,25.46047050350583,29.94114614219843,30.43011572534005,32.6874061338932,32.78294437010004,35.544150701829835,40.499522713277386,43.32754074904009,44.780622879912734,39.6780731995654,41.20735142580784,44.87675382865789,41.53519534160933,39.97110831147634,45.0997373569349,47.069082475571484,48.490388263642,49.3830289774381,52.18048101840399],[44.905388363597766,42.14718215083635,40.028121043207214,37.333470492916575,36.46653622279163,42.15959464198678,42.56772049639713,46.92257508682795,47.57661424381366,46.299031523883315,49.662188590149064,52.859563217978994,48.82978599201204,47.47133667592412,51.816794359259255,51.90646358854852,47.439034236632004,49.57205296841798,47.66799607089459,48.996270170942424,49.726778238416536,50.83237878920585,49.99333588846064,46.63689459307998,45.58355630239514,44.570886237389985,44.07982981400476,43.92963863763216,48.013154396684946,50.57821687376518,55.45111989517194,55.82219414026566,60.285393854798265,61.58670991943637,57.81448696576434,54.10348601433625,53.49897522835681,49.43816910807179,46.47521438439669,48.49992232583159,43.86686510345865,47.66910500051691,50.33357060935278,47.708701610329044,46.509786341255655,44.39423757066479,47.355662946202365,49.610112377062734,46.15434242858328,48.635106787003295,52.60781082932154,53.92552326065166,55.93120172813122,51.948069864020326,56.11190601025668,58.80863177471416,55.93588242999175,56.29750502551474,60.42124419184981,59.77288239094102,56.8227374629228,60.35453125893534,60.76041021152562,60.376784117745736,56.399636773634505,55.1004997253142,53.6589590358444,53.67063324675065,51.19258391082817,52.41683733298558,51.03540786367662,53.39463327854665,55.81887479128096,55.89624315313466,57.2361619667573,62.18340606748583,59.2053554755066,63.46258319313142,60.81894995375307,59.28880249985644,58.28777215954087,54.98294324583668,55.403000830193825,52.47596030608069,48.48296693241524,50.91091884583952,52.526706514931405,56.44005555490335,55.80929985042667,61.612852563694275,59.928615742435724,63.61501877621891,62.091513276362456,61.77419254046074,57.87890162540024,59.93054366292966,56.210176102558464,58.29271654822296,56.71437723201672,59.684678649522276,57.51937932429373,56.270819935284614,54.72977526167055,52.35439752371632,50.67362944956414,47.17626299089356,48.42812192280698,44.73780351571629,42.797590761425326,45.921717880592496,43.32145945045033,42.56414332707725,43.09831287404775,40.00161817654849,42.23423680190162,38.90588382548339,41.06521747247679,37.64862087661495,42.11074054261607,44.93843498439999,42.9035634895448,42.87320508258411,38.15520433728794,38.516605526796596,39.708233704264536,36.74912488732342,39.166675057902104,38.281840525857056,38.728737311393225,41.23919447729268,36.86220791816649,39.91623391213278,37.851534966868236,42.32196308928207,36.874080180974175,36.49025633851758,31.997142156915228,32.171387016400494,31.331937682248302,34.232365519107354,31.86632191519072,34.19330315724653,37.92148307614443,37.71699149135783,40.84640816591891,43.377342591399774,41.407179372008585,44.43852640820497,45.06440270933953,46.44967482956202,48.39868835883902,51.450387030125874,55.44250570863219,58.51081345946883,58.80605918926505,56.5799615720219,53.292625306897975,51.90749781934646,50.86629295899993,47.65299592703073,43.13071948322226,45.25439772667387,39.3481569673756,42.328508718203665,37.88404663141722,32.4209703762854,33.425385081600695,30.06003092729175,28.77687512373872,28.935775924875564,31.911679498575168,34.062559080326544,38.6847196688982,42.43526700679477,45.983999156656374,49.526055231321514,50.69853237823944,54.30196061224902,50.25623630263389,50.54527743253153,45.05761875455204,45.283566703855406,44.21978008093395,43.131960303856616,40.880112191898,43.38294835461764,43.82730276926701,44.11229804501301,39.726893796453794,39.777165195869316,37.6895906676745,38.60782848971567,35.98277819616729,35.37846652394807,36.177856787409866,35.52508132665187,33.7746416559931,36.935630974588946,36.54789434649672,39.81381251117755,41.92689510606229,44.7180077870268,41.697806340395154,39.76773196081408,44.08288311593988,44.02827518687509,38.56990130241357,41.7627698814176,47.22581778965517,43.63118031596119,42.41727465739754,46.11800815891128,47.210927573656114,43.49303729546084,44.41604445637468,41.324553321709516,46.31155613347927,39.571091798386284,41.72397863662802,45.72813707663005,46.43297612064849,51.28807462391305,50.06331819764721,52.80667996706538,50.459227273115374,52.26959149539432,50.81811678796137,51.4151170398704,49.48408006084415,44.83320456038322,46.58970859275833,46.0546311788867,42.06903933275933,40.89322158538171,41.15535857943285,38.317969529415414,36.35811150996401,35.515376478384724,37.75095177256285,41.91071034664561,44.97182682426017,47.40078430188152,50.99632352137344,55.198844883534136,53.914930407148134,49.36503657262814,53.06586239670707,55.54976624723787,51.32415690248097,49.864950061245324,54.16939959193718,54.11421351350866,50.30283266063751,53.29069169280656,55.92982944124804,53.26020963329268,51.79077071033602,54.44345012343626,51.33210447329637,52.663196384113824,50.871452269702566,51.699675397938606,50.772141414864,46.25139228642204,46.64447506856848,46.2986854205543,44.1569773815171,41.090458437448945,43.41783306891155,41.753203015865495,37.801679268682555,37.17645875205569,39.03734606442422,37.00954358816996,34.17968368011871,32.98965434450375,31.748556752895706,30.386295236414753,35.23135427154686,33.78152269274463,36.391148785553206,37.57799377192081,33.43138278399916,31.903648612927658,29.505415680626825,29.83620998363488,34.175030947872735,34.765740298241326,36.67751073100912,36.967315383538036,40.011919465415694,44.782309680956075,47.72717340054984,49.140341535193485,44.15041074843536,45.86896308347632,49.549062348782165,46.124831002815135,44.80188715257914,49.97202572152533,51.82990054497689,53.17821478578528,53.92810078184421,56.70056306241421],[43.55884312022008,41.05686435386351,39.4332142297329,36.76921147158588,36.61804683004501,42.10831573821759,42.92172825344324,47.40106845993616,47.9135412637988,46.96199058806945,50.328549637721416,53.583928765062645,49.92663765013829,48.35968374427008,52.93133372042894,53.25087117534069,48.934556613424455,51.317460779787595,49.635118851431415,51.2480594304917,52.16034523658424,53.582441867753026,52.7512019189252,49.48029447307041,48.350133777411074,46.98741942623712,46.45761439876554,45.95893168388935,49.922111595582265,52.320044495155706,57.07394866990389,57.429034274482774,61.867966809891456,63.43817717196567,59.776554217806854,56.15543390607629,55.53080809823178,51.78718759997387,48.96906203939407,51.40751200194855,46.74887159096446,50.39548478191396,53.30157253760546,50.83209471922497,49.812831984273274,47.89374597619508,50.9353135833414,53.04252001425282,49.65604407907577,52.33922323372109,56.19678669873092,57.48474642982044,59.389632530016755,55.244039304181115,59.302405431433925,62.129843392848215,59.200207279583225,59.32107306956692,63.509852348894256,63.03571192576263,59.85651672246631,63.19560637038551,63.36985958717736,63.04405564917201,59.19469014438453,57.71265364112256,55.957563561319056,55.71838295276415,53.00419084730493,53.92434372664909,52.462523501046014,54.72776169359622,57.338613706228585,57.75417497724385,59.09915988956707,64.27909273978081,61.52228748784335,65.7497638924277,63.25845751589114,61.97317269509385,60.87544889947205,57.759595066534196,57.94176248954194,55.20570367163434,51.2135930926855,53.39125203081269,55.081971042577464,58.78643643557771,58.13498006704682,63.77856008343208,61.92614862246307,65.54067846883827,63.78491576200767,63.312782892855175,59.24371773184353,61.07398206145146,57.19621756202927,59.49820022020249,57.77815087403309,60.618642479931026,58.90905758900683,57.56805282806535,56.42758273253804,53.9048112112753,52.61216716392077,48.783425108380186,50.0050241942127,46.36981921251645,44.04730035212558,47.13801261912495,44.253961307376336,43.82340761869111,44.04258740734849,41.23630587014286,43.449001898460736,40.26586281967265,42.67488985293683,39.406218844422824,44.04710266583382,46.59934001381105,44.294225809555826,44.02037105905992,39.22871496706924,39.45151425810936,40.39683411266752,37.75294394112885,39.748218123874196,39.42917038385609,39.972627389924426,42.92172692339165,38.45269009315433,41.70560628343023,40.04486760791746,44.48345500504789,39.00066043584204,38.337493105433424,33.56321276743408,33.86005677558409,32.94511911841536,36.16163180469067,33.96883724147963,36.73818274787861,40.21523374809237,39.84996770903554,43.22756237525236,45.44135307949845,43.249187543844364,46.03175887196952,46.529775742069575,47.4990046170474,49.35676318216649,52.112382489543855,56.181239964803645,58.86249078420078,59.41828297024927,57.492685430277824,54.33752407369932,53.087704989047545,52.30647052702501,49.19996429026424,44.99113369457886,47.347807903188496,41.55086472370509,44.849301103806596,40.644081006835364,35.13568246581475,36.25623279087344,33.19471367023856,31.51242124661611,31.39227252746522,34.263105437072966,36.288947186653,41.11892253043645,44.782901015337494,48.26891039099555,51.6599392948714,52.67741295463589,56.5106670757869,52.70654009412045,52.97984699697161,47.66007511545815,47.423023158103085,46.74974407687062,45.9309131587833,43.65356450620886,46.43247113395537,46.831951652010154,47.43439315606431,43.17089724702385,43.21972850355223,41.19821554929746,41.8168758037236,39.04193851381358,38.12501915294222,38.70566750737456,37.79352061212575,35.63329485351001,38.53847995881724,37.63292792534792,40.85435925448921,42.67080483935878,45.38751953868593,42.31643476876057,40.06452309503632,44.2603969985496,44.07726248758809,38.34702334963781,41.422001838184535,46.91109823250903,43.06134196757274,41.58159123302867,45.20341002769756,46.33533419001847,42.345511842698855,43.0284710144376,40.06493655042233,45.03771900625009,38.34454177726603,40.901120777083136,44.848915595693796,45.78131984798434,50.516230503887094,49.6336800474554,52.668104509468286,50.61003034381969,52.736294364757214,51.522873154425035,52.32371668520978,50.07268645550917,45.465173252975355,47.62615747644633,47.086793784745424,42.868105695131845,41.942206050593484,42.594135266330525,39.419566465825255,37.17145224201073,36.99889618358539,38.659027999668155,43.275207245222354,46.246790141218455,48.27974329260036,52.04331910111192,56.03644569937849,54.905645333970575,50.218793406963286,53.541562142250804,56.108753325200865,51.897706773315875,50.10420642549589,54.22950084733532,54.08481658558995,50.10309924252182,53.0175299390347,55.519422996610594,52.6712792810764,51.09668336988739,53.77469048446083,50.76001860437821,52.39685199427233,50.941458601323596,51.81852564915309,50.4512638155702,46.00391695431021,46.802714744237186,46.15196906344697,43.789124657799775,41.15347962954558,43.5664943798545,41.39043326471161,37.475330790238495,37.408178653153485,39.05998701617795,36.54030327615883,33.72740008087058,32.31775268533259,30.737654865088953,29.02357054641785,33.782413526826694,32.4574647889462,35.52763968940694,36.71395731565135,32.27147328961013,31.13896775892288,28.77116435996671,29.67714248095497,34.19833167076148,35.07591472570185,37.462837555830326,37.686507131036564,40.234262250867914,45.28059523397318,47.98530227880028,49.573503145198664,44.42463826188788,45.70801576394692,49.42184154110364,46.216553425417715,44.36328045365128,49.3989100361742,51.53344435775007,53.03007552850523,54.04019396585898,56.80801858817973],[42.57982668593471,40.31097894783222,39.178199966101786,35.94172287474085,36.43180599760785,41.39354318266269,42.19917809256441,46.78436086464821,46.77231461979873,45.73556300645736,48.919748989263624,52.42921341699887,48.96078504311237,46.90720992002391,51.55518125558222,52.205902212772614,47.91951515921541,50.239656188132194,48.42830746036492,50.50302504175457,51.319837515743565,53.11122749641916,52.05085440443814,48.81643388986776,47.88217390765056,46.182027920580275,45.9596485386581,45.29250501604054,49.23671221813203,51.74072958155636,56.009914680863055,56.777861004143595,61.08622643096234,62.68798147414948,59.25847649308176,55.5799275536432,55.30725570051462,51.60921003010678,49.02067945321478,52.006469047012864,47.06222523983246,50.228429616055784,53.40901342467172,51.250948390472644,50.192297181315695,48.53116258804808,51.563193383464316,53.662019133189716,50.6189362611137,53.550637527562564,57.24168272003149,58.717412366859044,60.42525659107037,56.01916311248626,60.114484195975095,62.847817917007504,59.64522662980588,59.620282443232554,63.850428158160575,63.344967912043856,59.80149125378397,62.83364927529354,62.85420823697698,62.28611432790964,58.65933475580223,57.202138900007,54.90401395729633,54.6250187557244,51.500789303403614,52.30434490532814,50.602795874736586,52.58468213406494,55.51465268461435,56.139745480510975,57.77369982074726,63.078091191926184,60.729337140549376,65.03220129617186,62.8448358911829,61.866446794276236,61.004867425845966,58.2159018174389,58.500049045394746,56.09651794918705,51.96275544668931,53.727359292537365,55.120949065740845,58.78876088620096,57.71209106471675,63.228341406097094,61.025260553880464,64.37910048267494,62.52852801183653,62.12889887724243,58.01487654914698,59.57246124580288,55.660260719829246,58.45087431861348,56.85703532539615,59.937921153526716,58.475949672276904,57.539813091362305,56.528973767142105,54.34101863814476,53.57966614843189,49.63355978205054,51.25051772549512,47.870047837492436,45.27878345238488,48.023971677516236,44.74920112029542,44.11111809076773,43.760418197469306,40.96362432276897,42.66372529866143,39.4405534979391,41.7594946584472,38.375014501565246,42.82227786046532,45.35042020761191,42.78920888860088,42.56870281952281,37.80350440053597,38.296571711691826,39.418058200882975,37.41621815722819,39.692594326950555,39.800051186422735,40.797475551140714,44.05077492873744,39.961572106763896,43.597370246223306,41.99096681605419,46.129209414536156,40.44449384015266,39.19235273968878,34.59791681795695,34.28106524769636,32.81189393901695,36.0949645570942,33.487811362242795,36.45032393961601,39.695507658833925,39.518317228089074,43.16713535776942,45.18987719799556,42.9427526028099,45.70580807642566,46.44798098272369,47.0927624028734,49.26354088678538,51.606757038651104,55.96831059755473,58.26109342751008,58.72398961227145,57.052392710174026,53.83290717747485,52.997609422743174,52.08017390794666,49.493264304463246,45.39523036794637,47.500274936037485,41.80197180900233,45.35782681495983,41.60387778489032,36.025679608239514,37.775857820702115,35.022959180909666,33.40496850071513,32.63159147848792,35.577720605235385,37.077278534737296,42.09727365158092,45.66424203643848,48.94330012027636,52.32503883993288,52.8741114521134,57.08596281362465,53.43319950079176,53.993636151079336,48.819284241603924,48.51417548725862,48.40952599967115,47.8709771869199,45.30872940791784,47.86077277802031,47.81021758194373,48.719220483260585,44.50118725790272,45.023787274592905,43.35703056336612,43.85232507010387,41.360323197404654,40.394211055856665,41.133099108785615,40.46350333635075,37.85931736341033,40.82728646802682,39.67869742593909,42.464103010752034,44.533567713862396,46.81911633442118,43.4698911123111,41.487984501910006,45.68320193395317,44.9522621876296,39.13555575087585,42.52987967178947,47.80928698614545,43.41070478638841,42.04461658144335,45.734298601205694,46.422888252747455,42.19747066135918,43.18423901877323,40.50246423318097,45.71605990374818,39.57000548265248,42.22136612675429,46.21857619883007,47.71272119957352,52.290154761016176,51.940669007519006,54.975700493915184,52.96417256086786,55.22225371447474,53.8356368013369,55.079717685357956,52.8642194877234,47.94213917347801,50.29811240245028,50.207557727223175,45.83057578000282,44.71318798345543,45.688110320261565,42.754428229705034,40.11770171460406,39.82214626644377,40.99771712948472,45.513993890833355,48.64140604690961,50.38973959378387,54.02727523347754,57.931627325544305,56.517047124338305,51.8505456524305,55.08232362974185,57.37556440617767,52.97109109885136,51.22991386171339,55.15169294376203,54.70072082066512,50.72509348498095,53.9397769414574,56.14785788753666,52.92670442490297,51.70230669443172,54.6314661265967,51.84561867848774,53.80270616250879,52.47043893832672,53.73696868468067,52.16431549491628,47.47754476393217,48.77321446474976,48.26154301977178,45.626394568133165,43.1610199125749,46.11929332935575,43.7972026451893,39.53861071871103,39.924592565249725,41.968265778337674,39.16861145445442,36.09199018953051,34.06004407834434,32.900679463653006,30.50067135478933,35.0567167872011,33.1519267429472,36.358324840394204,36.921064252141065,32.36509445436267,31.74025707911449,29.904461248171245,31.078159994009958,35.707395385755696,36.03706826009629,38.76193415788504,38.317996552440796,40.663736822808154,45.864820486135635,48.51286811090878,49.80349962847147,44.516849897583036,45.781694386061936,49.21513016559592,45.78695706135528,43.81068659480998,48.72930000530235,50.810629030973395,52.17366460688387,53.21725120253852,55.85199804114798],[39.36490690375978,37.2888560958567,36.54161348242048,33.2900671252145,34.353878688555874,39.03608357112599,40.14104202240183,44.772880647898326,44.649955392908254,43.91421415546695,47.084928019667316,50.58460980002083,47.47763370685283,45.313511216957615,50.12318100908513,50.943684372194774,46.86076309561818,49.43815925701934,47.95569229263264,50.22011436109262,51.29501769770144,53.37749504983705,52.43595800695025,49.36056852387264,48.24132064538747,46.19937454858821,45.83536031586271,44.795582078584104,48.549025940531564,50.824918409799835,55.00394814835301,55.681400172898066,59.944200631882595,61.81460711041149,58.495761111190205,54.95861272777292,54.61870834787884,51.30630083735703,48.88416820419801,52.25975033408562,47.386722689352716,50.40547754352329,53.815257523473136,51.816658433157315,51.000901262211244,49.56117478890934,52.70472056296011,54.5635942923814,51.58644986437302,54.75368070672669,58.27107356195402,59.682405972223066,61.267800745811876,56.72241557160194,60.613988680435504,63.51558453977497,60.311293664303214,59.9860768712535,64.25278973457397,64.00482962347256,60.26114969732822,63.083089571464114,62.83235927977548,62.4344084054721,58.943548823618606,57.23661579390611,54.72444786490902,54.13704611722372,50.89447753503185,51.353598923587285,49.663647822057165,51.632999873169226,54.62716661768749,55.59301801631422,57.102326455428795,62.6025898322667,60.42577482843409,64.63681182957374,62.580366172450574,61.84970440817605,60.83943303848118,58.26577870767328,58.27231808000615,56.08415694061719,51.99784860905987,53.490770191233224,54.98839034448773,58.387002222407794,57.35932645015404,62.66569035897186,60.36036331655523,63.66896426370763,61.58675945891705,61.003331124353096,56.749544696695374,58.11875191510115,54.08901913811809,56.99170556434712,55.26229037463729,58.190703285382625,57.13861092454112,56.12370909578638,55.48350681075106,53.19318143155656,52.818834759343005,48.61600846694813,50.24761386457067,47.000085293200485,44.09373269260338,46.71678519598128,43.207666726070855,42.82045641761302,42.18081163563474,39.68374594079003,41.36460157866604,38.34486317073261,40.89871334478854,37.7789090882218,42.40610215440398,44.56602433006347,41.805388207165706,41.30665883359211,36.54167081722185,36.83998269934454,37.69481900338028,35.99584575402117,37.89416366641705,38.491539370253534,39.60274647686246,43.205961932756075,39.17152143411259,42.98872419486428,41.73997965281611,45.739977811300605,40.07565378896807,38.533608021973144,33.81102549702599,33.5572366315981,32.05714436735354,35.57561582892639,33.2877930079831,36.67608057464752,39.583136842305485,39.179364368140675,43.003408981663085,44.66385438701261,42.21977469758791,44.690648792982536,45.293319845054995,45.55958766638136,47.63410351209323,49.69855613493652,54.09575387968553,56.05619425932049,56.71549248513556,55.3044795405816,52.225848530418006,51.51727022094244,50.83795967856187,48.38219563203991,44.62888748007569,46.936963304332494,41.43223901479775,45.25648918635707,41.80657214886777,36.288202841979675,38.1270342412706,35.764461756629274,33.786835094614304,32.71006741835962,35.4913392904101,36.811578222920524,41.949233202062175,45.37453891190671,48.54545449098765,51.73956400504383,52.13019879749767,56.53128759125695,53.154597399591005,53.69984725390668,48.755947386632954,48.002703965091484,48.326297012040214,48.0896369617582,45.496576553047674,48.29677690833976,48.20071253912846,49.46532392466101,45.462571416302325,45.95405665860281,44.410581595588766,44.55746087795591,41.97903531835569,40.71759697985458,41.28422513140715,40.47683351482156,37.4760076191694,40.23149943875664,38.672607418113195,41.25604068160312,43.17972971728587,45.259576768013766,41.845681437235925,39.76416055703538,43.83581730881999,42.878623234699695,36.95749730412435,40.33668811576034,45.50592973788893,40.86521031578695,39.4062575240261,43.04053971486244,43.6202105332923,39.24250569215541,40.18980081177649,37.677344902479945,42.917392842874705,37.07108784752564,39.88663674821601,43.83710289814464,45.654207791070164,50.0791556473983,50.11982749479328,53.24450871180565,51.395464171124466,53.848713338021625,52.52634915366056,54.064293043618456,51.71523571260078,46.71680619504019,49.36168862301478,49.47843259688329,44.94428521969809,43.88800670217182,45.24071135266142,42.26273110075421,39.30523118653677,39.34599148590758,39.961372204421984,44.6697900837476,47.75630796129534,49.13890686138697,52.80675038506986,56.51503325559273,55.1237105378849,50.41516142757304,53.3549547262403,55.601219238023035,51.19373105974821,49.271921257794126,53.00032219112889,52.42299437401598,48.38185168049631,51.612295548900555,53.650791408420666,50.261156799140274,49.085382994198916,52.08321597653561,49.438637495902114,51.639135299999424,50.532327156565316,51.95843685581323,50.10713948350678,45.403397369339544,47.08110376412756,46.48778939277457,43.661274647154166,41.4982371851078,44.709252332135655,42.12585601344619,37.76827979271451,38.614751952811005,40.74300370541946,37.64223970004848,34.47684627882793,32.09170410678222,31.045732790256025,28.221705129661117,32.56843936448837,30.49361583534897,33.89980717218015,34.2645037368061,29.5976304125564,29.342850394656644,27.75110959543601,29.295232723391564,33.95497933680582,34.28834812683947,37.358452673709856,36.73668646970876,38.65800322407319,44.00525008644949,46.45046902312752,47.79495250666316,42.43666820123472,43.39059429452367,46.765137417152836,43.498735451913966,41.1666973086074,45.93600765137193,48.174406910410035,49.62564140848572,50.85117255115623,53.454878073513775],[40.02624626325618,38.25612854757167,38.017979546529226,34.62540707890021,36.29325149212741,40.54213700705335,41.811759201822795,46.463845782573024,46.042371745577164,45.42021846178574,48.45470435820957,52.054643730375204,49.225571389598265,46.77731867442366,51.64406258448558,52.69973962727766,48.73488654099251,51.32434604594473,49.85191628060302,52.39477385169967,53.446189525337175,55.75323774314277,54.69771214360831,51.673814706138,50.66709780180545,48.421006367542994,48.20828855084645,47.0202557227744,50.68430145646176,52.93342228191123,56.79862635780592,57.66215905483211,61.81646980605836,63.7745529730775,60.62577918374709,57.11822291462531,56.936945888296016,53.762353292436366,51.50023422742849,55.16371372334353,50.20617785119739,52.95430430711437,56.50377853621518,54.680037505264806,53.85968497139866,52.5531271821345,55.67367329963701,57.51958677133922,54.71335306227279,57.97311974209095,61.40343992153169,62.88835235699382,64.37605598846034,59.72690956440403,63.59482810780122,66.4680255141412,63.148437158906525,62.72284382920803,66.9998411153985,66.76305477924379,62.833714726409525,65.4581303254931,65.09165493154369,64.57645387207957,61.247809910449604,59.538545822672006,56.703155843377445,56.045525825305155,52.55572982807758,52.863150762968836,51.034227473419996,52.787129618576415,55.99041007661158,57.155013112305625,58.81284151021984,64.39233116710932,62.49992984856137,66.71320716871001,64.85650934596477,64.33062966718184,63.411818998977644,61.04164953831972,61.033130895138044,59.03777726384569,54.926610915744696,56.18147016443766,57.557587035625055,60.86078085090234,59.64232396248564,64.80676321552797,62.3005803260754,65.42904125315091,63.24671589652595,62.65647509492623,58.360309363531584,59.4992866265488,55.43434488678777,58.63182790558715,56.9251646917351,59.882758701255895,59.12793504684805,58.26007459346576,57.82582929670142,55.638115483635346,55.59656533579521,51.28377765382726,53.021933383715826,49.91266461650288,46.815847147669594,49.27476818294886,45.56291486299317,45.23219465063657,44.25445382651616,41.91716213917839,43.336274776081446,40.40420360017366,42.94766879704567,39.87002749546892,44.358473008949225,46.404618914877574,43.47441505016086,42.933522700384984,38.25133280914772,38.625694928027684,39.44828748620512,38.19291209709581,39.99183196746657,40.96808325491139,42.256863180861494,46.063529301361584,42.17638395221683,46.118982469930486,45.025371265047745,48.88528190217143,43.214669951276264,41.41961343216767,36.75565502308777,36.33543829920385,34.63418990212201,38.19065895102698,35.81465459798057,39.30834650005799,42.01402866221503,41.66776257116374,45.6127661535562,47.090017918832274,44.59369955780387,46.94196046112816,47.59553321859563,47.56821789368586,49.70714806151814,51.44737978172975,55.94899407221517,57.55014566000562,58.278422432982715,57.121655586975834,54.102548107819075,53.6311504541792,52.999578554772036,50.82357124567525,47.265903390914566,49.514756252082506,44.15026623113069,48.107196923683624,44.91770121671337,39.43326886554766,41.482320851673975,39.287560334519505,37.28586743871049,35.97905300770769,38.71496081298716,39.80859243952746,44.99231065953358,48.321385194887846,51.36556968947714,54.481044779773576,54.63598078723073,59.219504044482946,55.998440221545806,56.64072978394922,51.83485300712231,50.9371118088109,51.5562528680738,51.47479959953911,48.80927735670703,51.57114889630771,51.304683417446824,52.72278312212858,48.77667346821463,49.42426520282133,48.007400352817534,48.07632446430321,45.57031029394609,44.24299106401447,44.79029932271777,43.97685630430293,40.78725028367714,43.438687562624935,41.651297801679966,44.0547392619183,45.89736868438851,47.787947406915535,44.316962250710496,42.21097443417855,46.15431587497606,44.97413937615278,39.00766750764169,42.357543420581116,47.378670059454834,42.49064659432388,40.9545738737611,44.49483350367165,44.92221472847472,40.3792072869408,41.273571991698844,39.003002908500214,44.20762476261665,38.69711156321003,41.71912242077774,45.57419637556055,47.65056777278087,51.8952808118859,52.27254984005124,55.52119636613608,53.854810975962735,56.470158566352566,55.23082278833606,56.95336874857323,54.48664392750161,49.49406986319608,52.333555243642756,52.54110342829827,47.92412522599878,46.948476461799366,48.51072901572577,45.4722522473362,42.36575918798876,42.63998743211174,42.92057138837535,47.71946246816704,50.775912617312024,51.90582802622164,55.573602875344015,59.12710238620739,57.73261525742036,53.02009837985617,55.725898336161826,57.90136846141757,53.48621261334648,51.44706664457786,54.97213554705347,54.24916592779456,50.175474062819696,53.42791141436708,55.26636578280542,51.6843281118283,50.59391219428452,53.65265668950528,51.173752535191134,53.61427776774357,52.73440582125418,54.28062320679266,52.16405792088664,47.49711701732478,49.500427834976946,48.79569543922727,45.82374672446822,43.96587423456956,47.30144721621874,44.45967657182808,40.12411455823572,41.3382859548544,43.405141246350055,40.05369370132562,36.91557703244831,34.32612965440785,33.22920838178737,30.118100382793806,34.19336589169417,32.07987173313664,35.69809515084479,35.830021733613364,31.09461011773077,31.266438134573615,29.929760508004453,31.79123170452146,36.42861655492945,36.71892119774623,40.02935841427356,39.173681114097846,40.76248131368536,46.19283830500913,48.46730959287698,49.76459310608208,44.36407838960004,45.078950305112414,48.30322992447843,45.10880455246602,42.497177842482046,47.057858233160566,49.38542088593466,50.83533364669066,52.1886248104578,54.6877830776443],[36.48701818661593,34.897719886771625,35.02668568413018,31.30874847480152,33.48900059558157,37.21244585050093,38.546455943179254,43.18770680345152,42.456912157171445,41.940467310025745,44.84565948547175,48.504772049337646,45.97857955072213,43.305106692510236,48.23030092417471,49.498941875684565,45.72540271000321,48.42488760312573,47.169259577584405,49.96253225265481,51.16967670136337,53.79073678401448,52.78226300757773,49.94470479128625,48.85007421890036,46.26079575441699,46.04108267637022,44.544373029180726,48.01183199395816,50.12429775831859,53.70220263007039,54.65816310304348,58.69237720320886,60.808354189478344,57.846839863472916,54.44748315905562,54.36308243311107,51.49992500390961,49.47535743849264,53.57952240604069,48.63347651686084,51.055887750712664,54.82945802003785,53.26860609261274,52.64505201810978,51.63883903725667,54.80702931231994,56.417577566576476,53.836586903223655,57.33813923700504,60.51520120768783,62.01002336396494,63.303233385921985,58.4891275115956,62.17843872247044,65.11773786739943,61.725619370504134,61.015682339286485,65.30114394055795,65.25950980396021,61.08048828151772,63.41521446700517,62.79198881353486,62.34493120205134,59.221375906475494,57.33696750367803,54.20470284799921,53.30665549199262,49.65149105115151,49.66998620994125,47.80426646485483,49.461630250022964,52.755065485266975,54.21859064725579,55.84217773133827,61.553075222662976,59.92434299659775,64.0580333497968,62.41234011026916,62.17819203769252,61.25115462824322,59.185582132851486,59.03924987984123,57.35424442691065,53.26165138900143,54.140823057944765,55.44801308745187,58.517124040481356,57.18301771961608,62.10760954750194,59.43334705129032,62.42186824222841,60.068833860176554,59.38758159755515,55.02763532969922,55.94934943680191,51.84060883685557,55.25309955368923,53.54430213325999,56.50990989926745,56.07058696838371,55.371730540773115,55.18524320044103,53.14925285009634,53.57962630840331,49.15266907809236,51.11167685733606,48.2681208248554,44.94659173456597,47.08991691916455,43.12377287045641,42.772849171477645,41.375169414673394,39.23758090364309,40.37130752174046,37.60670239565061,40.20786950151742,37.33900683901028,41.8036717659942,43.5327524050415,40.428335546672294,39.727705650379555,35.15538801909438,35.51072919777543,36.24994480643489,35.50547403182537,37.25374621693089,38.64880619279752,40.22479431241089,44.27013061322421,40.73595472124659,44.9074319886574,44.01720757821022,47.548708709143085,41.889962320422256,39.66401309395482,35.184908718127524,34.466463271388676,32.531096578404835,36.14723552876596,33.8919816486291,37.67155597687977,39.96964195277124,39.538598533739545,43.627005967100274,44.75487617626894,42.1578577015764,44.27694684492557,44.958909210602926,44.58320892190949,46.8111813252851,48.19374991006335,52.811369342641136,54.07561745956741,54.8101727862071,53.8940048300105,50.938828739708676,50.74087604612967,50.16199086769188,48.34621735631321,45.08366817517853,47.287664083990386,42.19109257176351,46.35532033294508,43.63074280163785,38.29042504012227,40.64012896100986,38.903329730624776,36.77715626806529,34.998058450231994,37.58840971917632,38.27619407263451,43.49488742720596,46.62514914862365,49.4514943748237,52.40928665089074,52.24532601069028,57.058475405611425,54.11189117726839,54.87812526227588,50.350216222794394,49.184226170301315,50.33182073643795,50.57445257302563,47.78132943024537,50.534574044127886,50.03524764420413,51.81718422762767,48.11826145335126,48.94161426533079,47.80538582683104,47.580527763675654,45.22159137960498,43.72964398882028,44.27497977669364,43.58246597243679,40.01555518152916,42.5768135906597,40.55419993588793,42.51357515660789,44.49554248017824,45.96616968161406,42.343324499281024,40.5035502466932,44.35212820490732,42.72523457380176,36.84418557349752,40.39823303993857,45.12164298493117,39.88232150475041,38.51596669922102,42.061060240251734,42.08382096070984,37.47472173534075,38.684315030249174,36.68687055660514,42.024926323551455,37.16356366870967,40.07629558021949,43.92013132421556,46.47081692491143,50.53010541942973,51.36066442222237,54.478010935782386,52.81595294426847,55.480300942714514,54.06601239393544,56.19504017801295,53.830099350435724,48.59402000190328,51.56209858411564,52.2261437408654,47.54043934733838,46.38205186051427,48.25105049155647,45.52365447245122,42.09285949556894,42.25473787574574,42.03535330201996,46.66088584658301,49.780307121497245,50.60678272159611,54.1073128169593,57.51566186162271,55.90828657912004,51.27804964447284,53.84757169864301,55.758978712423996,51.254504547558774,49.28166646384998,52.58489141650032,51.62316080386223,47.622630546974705,51.089527660653715,52.66710736991712,48.84183665375496,48.08220210759202,51.320660969145486,49.0673408520817,51.71373531383908,50.914874348634385,52.80085254247973,50.59384101997327,45.75759853537457,48.145672496562476,47.644722442429135,44.4985916182663,42.77339913835938,46.58248498690772,43.76539792625499,39.15338782523184,40.70371472895827,43.18784330761264,39.74208021993422,36.38850737776086,33.28604550009209,32.79372214339941,29.190041404659222,32.92928112387263,30.241304274468774,33.74945801753936,33.30434787046268,28.678965655970075,29.259472945705376,28.48750066486105,30.45593933117314,34.98721488710285,34.79689311189284,38.32060946233557,36.969874558103335,38.27332018053125,43.71538159569524,45.87330921770174,46.948970282997855,41.538729345504635,42.18180834852552,45.14267233051717,41.88327687126071,39.18163976009838,43.57547870964667,45.84611162057944,47.20953837194935,48.60930162636448,51.007121696205125],[38.10311184915856,36.754871577964416,37.18461936694799,33.99595000185927,36.47973832237367,40.24737120678317,41.97413644067763,46.59177925637485,46.0539645100905,45.898199573802266,48.8620564378794,52.38304820035582,50.100694710503376,47.554220342030995,52.55884409900719,53.82084858375209,50.174416563374834,53.04296153677623,51.97181310806647,54.69810497941958,56.01734413656746,58.60849835805466,57.68136009054775,54.842295952575604,53.66675338848991,51.09739783439475,50.734438814988025,49.15223076422716,52.542118541852254,54.47933090003984,58.1974753242435,58.92485871139892,62.981456282211575,65.26261019763906,62.27386303950694,58.975777871062604,58.69747454232708,56.011085072446896,53.947945485586075,57.96069989530539,53.14400800240525,55.73732740374665,59.48154316113723,57.82138347849079,57.25773744242476,56.1596142684477,59.363125482073116,60.96897246463254,58.21904718398374,61.665431885009376,64.92689901618024,66.32102743050261,67.69490804514022,62.948308374160746,66.58038637123217,69.61968956118761,66.33574793662811,65.60577771392538,69.89321068397409,69.92728862419546,65.82923340937631,68.2202875100576,67.56550689554022,67.23476847632324,64.07666791107793,62.11724235417896,59.068935784934695,58.07333373331553,54.47558834326356,54.36698050973158,52.56113874819873,54.24710051403157,57.51498582414249,59.080020034118164,60.591023447897335,66.35006087693239,64.67966243303822,68.75326497813609,67.05784378574482,66.80573233127294,65.7136471313346,63.580871078021076,63.24432855257239,61.47706686999791,57.470843863288565,58.44533669299019,59.94969968062811,62.91403629531873,61.78552889048865,66.66178190895107,64.05968400292585,67.10329057792904,64.65584203542232,63.83978641457656,59.408409924054595,60.28271951617548,56.10694067592649,59.41546868623968,57.53632643191391,60.22381708420402,60.038549915224266,59.02727984542687,59.09085915560173,56.74343452493467,57.134232290185466,52.54856291481935,54.20155523028139,51.24883797919925,47.818302541705364,50.14911608031252,46.23643435239423,46.31011063456835,45.025459939415875,43.147408973751254,44.55347687548353,41.94617287927947,44.72886189834633,42.02193951054141,46.62636168289626,48.215586332186156,45.095549270376836,44.22107035643021,39.648048842955866,39.756996729341424,40.18591264618355,39.32461036602161,40.49798825609084,42.088750718649905,43.420939474989694,47.575060318085605,43.73542423389588,47.75807986989013,47.12878263792305,50.83723081522661,45.31252534537153,43.30143954608764,38.53786529466098,38.310131469274104,36.680609476030206,40.419386791791496,38.47074235625763,42.32027843180864,44.64394828406857,44.05119975665707,48.1115701734114,49.16906543986585,46.482301056132,48.431315991572795,48.87002626034733,48.359880313567416,50.28729433600998,51.6376332844488,56.093282760888684,57.200991609494395,58.24417184423448,57.47035451818715,54.70129743032155,54.37105031127407,54.094792243173195,52.06164583184802,48.98666857409915,51.48354088731452,46.41355237811607,50.59478419222007,47.725947291710426,42.3882949783616,44.41095807035546,42.5899652347962,40.23729286712786,38.74778399110301,41.241068479565364,42.197332434719,47.40863594833402,50.543383283958285,53.45105724218314,56.303281111707285,56.31579546434796,61.045172507335195,58.17132930708297,58.749772618295594,54.24102975400181,52.823552567687564,53.85225073909233,54.06895224315138,51.45064357496033,54.49533223378912,54.243185074678124,55.981160271045276,52.27054261513376,52.82246027588252,51.477649190607316,51.21371685840666,48.58365438526893,46.95821812914919,47.2607232106916,46.219675774555846,42.70913723104881,45.010401435424626,42.74489476429,44.955437398172265,46.444197381209435,48.13428924811377,44.70964439058494,42.37492420469548,46.02923980193939,44.68054877789038,38.67170485875348,41.77912537717919,46.595009327863224,41.5337097562262,39.77868310541332,43.09352382505471,43.480287466602256,38.77207918845627,39.39566291821601,37.43481091471682,42.453485139475035,37.38710786109652,40.70622800522005,44.35506796514818,46.73729136427878,50.68916765519225,51.539069898930784,54.975373185020295,53.64389102564887,56.531931121180534,55.524667172964435,57.5020160532826,54.792225833270905,49.912079915023696,53.108485442218914,53.40613008460437,48.668786192865994,47.91947058760854,49.8833770117244,46.67909950505084,43.326279977337464,44.187939634694715,43.823748813208596,48.88969664991717,51.78373034055964,52.434323476060875,56.16372423862315,59.39532532915553,58.16391008398981,53.42656250264287,55.64155987494266,57.82080055151067,53.51690379659518,51.1703515245337,54.37577797638685,53.53893786284465,49.390580833568656,52.50480992805042,54.10502244885463,50.37104596345525,49.242122096004735,52.285096789490545,50.02128065634455,52.77681787120403,52.29638169836835,53.92508455198178,51.37789305275808,46.88318779423109,49.33798322502978,48.384694965660636,45.230878219905556,43.91864124864967,47.34531303665116,44.0874508303817,39.88128442822084,41.69263668973423,43.58969534165862,39.86111737233497,36.82282730770011,33.997985782237095,32.796126046355106,29.33853257947694,32.93650480712575,30.927335125799605,34.84522277663628,34.85064216063138,30.06703203263089,30.79467933567363,29.728862956519183,32.10506516682151,36.623938759841664,37.130714700924734,40.80756007423915,39.884311391022436,40.812554772186886,46.338530176042106,48.25110177699042,49.6992595380426,44.30077889981785,44.46590713603544,47.60179095541136,44.79004306297993,41.62221890545174,45.838483378547856,48.43475658186721,50.03510263210532,51.677431305453304,54.10530922616518],[38.500183204125875,36.81905490627997,36.69385126458003,33.85668412749509,35.700975720937215,40.08958403776284,41.754761607539855,46.37682743130003,46.27724790547862,46.07827748835283,49.248956543875,52.63194784600725,50.04741418610889,47.8678733067675,52.849444415976286,53.822928911722414,50.033652294034525,52.92586252138923,51.84572917269448,54.22610952750195,55.573036327249845,57.866506762096144,57.06649838330888,54.13031571066747,52.833263810608486,50.53871239981654,49.98100486392396,48.58183810485336,52.09348611958355,54.04252252296173,58.202387841402725,58.6528564848229,62.86841569390925,65.07738758264244,61.8536538546032,58.521897799478985,57.99996700692709,55.152626850583545,52.860508154669304,56.467476715397204,51.771353123119326,54.76060369398725,58.314069977254825,56.388986540260355,55.80487733390241,54.47972282802689,57.70701016366167,59.375724635456244,56.353214663062865,59.63506836136051,63.06160403485111,64.34725981499358,65.8871229276926,61.30335011244018,64.98329958353128,68.07277166273578,64.95304328016006,64.38179446186734,68.66430722953278,68.66717806630591,64.8325339225941,67.508927216245,67.01915025846529,66.8256532715694,63.44149741612549,61.4968839420318,58.86038773188228,57.95866572840869,54.65150626051023,54.72908835505448,53.08160435148372,55.02644448387703,58.068470109805574,59.39417538461845,60.73540673014836,66.41367560794357,64.37391139317641,68.45477721583002,66.48775310982288,65.95540153084535,64.71814062317577,62.28630199222799,61.932238092372245,59.87519285371263,55.91243404265648,57.24081110173713,58.94930559591828,62.034870581097145,61.188272312787674,66.26078761069543,63.919190185371335,67.20481160749051,64.8673350872624,64.03878520450644,59.63034846702109,60.7854112449917,56.620638072072104,59.556158826647525,57.59759476704923,60.18260295096365,59.68547848781895,58.38479610035812,58.253769240464074,55.66137224346488,55.59175714805983,51.08157327291108,52.47873641426573,49.28137892740927,46.049444358478596,48.68984803962437,45.04542541588131,45.201138171399634,44.38644350364792,42.370427057940454,44.19559272754286,41.49484159150555,44.34498320052664,41.584777812185166,46.397581644477526,48.13775311980245,45.20573624223916,44.35517245551624,39.6415030896612,39.6075357210043,40.00092137166126,38.53523091102992,39.648969222774625,40.83161789807986,41.847565966044,45.79587371570102,41.6157459876267,45.42246380028917,44.68598891195828,48.67104981939168,43.18706091543376,41.584715161114964,36.60905825577965,36.775030173610965,35.483705274459325,39.232111883678144,37.438963356602265,41.16817609602495,43.78214574093571,43.09626728168646,47.01166248128591,48.30692164552318,45.65584413531606,47.733549855433175,48.04011570956426,47.866874981103784,49.62535920287414,51.39513275460335,55.68481529648874,57.213304021064104,58.27454512836288,57.21241545388315,54.4105591313606,53.72853435680464,53.481339710593865,51.00410341475409,47.715182054978705,50.383282944231105,45.11057730066781,49.13307618193306,45.859182756283474,40.45637325031879,42.102081810467695,40.00539556181561,37.61435980617773,36.53897829521416,39.06953037513148,40.421353125477054,45.58717766353899,48.866241804882954,51.98009579586888,54.918026775461406,55.29823617051174,59.77326597205895,56.69901017062897,57.091793789699814,52.38387569615994,51.08214510724163,51.661299692971596,51.646340555103635,49.186208522445966,52.3756052055009,52.4237803421154,53.91754271039134,50.10237547325594,50.367479916619885,48.77259856309342,48.625712872353596,45.79969345901466,44.22201341512407,44.45393143129371,43.2653254855744,40.03233218944305,42.367462124384936,40.28887881966298,42.878338626178845,44.256308542902914,46.32224720174066,43.04234071245206,40.49381664825262,44.26090578611871,43.338957331047986,37.27643228457034,40.24354858516003,45.35227700692219,40.66850462348579,38.82182983600182,42.1920270197536,42.962221318799266,38.39020603007659,38.821026092680064,36.51325673277645,41.476747054207216,35.76129657241003,39.043655872008756,42.7615988662187,44.69917446906665,48.87574790993736,49.26014837621308,52.71989050953289,51.29303516452591,54.08181450086525,53.16291785532784,54.8035666768581,52.0665012857995,47.34344386731211,50.3961911462761,50.365468593663536,45.696935517523094,45.04891521290327,46.77002623099728,43.37387096171734,40.25973496155018,41.17032404085707,41.20175470637904,46.38725782933023,49.227506891928286,50.152604220011725,54.00942886523586,57.3885963629135,56.330552414250576,51.52825899901054,53.91409082259847,56.326858044383506,52.10188937994193,49.73529245793714,53.19511078373549,52.60913861165349,48.41278667544395,51.355571100612394,53.25312247719634,49.80084894781058,48.376615085821044,51.26126257181858,48.74417551826644,51.23436654209654,50.590160202837254,51.9289111988174,49.56710837197031,45.163787196013985,47.21120614994913,46.16986629906782,43.195508327884006,41.65638446123006,44.72460751094317,41.56373021380525,37.51308240586111,38.960958055420136,40.62578883756971,37.05709231388908,34.130676130402136,31.718454888847173,30.1581955639852,27.139175162040125,31.1198672069004,29.5027655288637,33.39610254961276,33.940388735665444,29.0973044410892,29.324365021744196,27.741716074286888,29.935861261033295,34.53393491802263,35.43723039533963,38.89455856639601,38.45801551212253,39.680419387230415,45.17634468036753,47.22965187944288,48.90428864849372,43.52567000976848,43.817102573813806,47.249282288572864,44.49187817877504,41.48766380410826,45.95122148716944,48.57038752540799,50.272139880469794,51.84504453321003,54.43030869370494],[32.85824228243748,30.99813287310045,30.720219883496803,27.631903644961227,29.465191943948142,33.78112763633564,35.39653256808837,40.02423857180198,39.92192454007965,39.767228477412,42.970793343192135,46.304308817715885,43.78593295398004,41.6763134937451,46.69485486491215,47.6560907394652,43.974718341750894,47.030787685781114,46.24684008335762,48.613201417847165,50.20838094727856,52.64497818330025,52.04911612260081,49.29339043158183,47.74093801555246,45.23640376108882,44.46676513343664,42.818971849718146,46.17817790171568,47.96311286373816,52.159733585402954,52.47856947645559,56.68594232384505,59.01555269061231,55.820032399244894,52.5975415804568,51.987792993905394,49.399718595342655,47.221629091807884,51.07550562779141,46.49991873144791,49.401123008241214,53.087891693834756,51.29423273990632,50.97990762007806,49.888802821137986,53.21147150199495,54.58519987552076,51.64792027883001,55.139993979411244,58.33712118859177,59.54594213829888,60.947886660281036,56.26815646620662,59.7343510336004,62.96052102095347,59.883678987968345,59.051002529506206,63.34226973395279,63.594567237061554,59.64958170721384,62.189516689647334,61.49869085443501,61.54229253093941,58.22704551940099,56.04897210403382,53.417741440936524,52.2757837305473,49.05661980743701,48.93021077686757,47.41164498681481,49.50358304417928,52.40517070154227,53.88632762667358,54.99152162094695,60.755201933341205,58.71132283531424,62.68579750966627,60.74796837965914,60.3514400356865,58.97686625228796,56.695144161016515,56.15470237571935,54.27398721375032,50.36208612975877,51.483421350436295,53.27183150998737,56.1563747648758,55.4067610063947,60.340990334448115,58.02511082911304,61.35583767048433,58.90741896331504,57.9547139207325,53.4975716003055,54.6542582878921,50.45633408563772,53.30259494062042,51.28658409326905,53.828690046543514,53.402029360124374,52.10632897014053,52.07832464298022,49.51791874873885,49.676897081871154,45.10241194385777,46.65185462350133,43.62000473508584,40.26651280121505,42.71731637273604,38.94051566932107,39.05350557263996,38.09711415242691,36.1727710168891,38.00146716340996,35.42517321057214,38.41585557241378,35.90086520817603,40.88993368773268,42.333106646141786,39.372381507473925,38.33132853042031,33.6325571036879,33.42476893283415,33.691439239844705,32.31447697189027,33.40450764678379,34.73481697873994,35.91033705526856,39.997707897603576,36.05843658618267,40.06034774499368,39.446850059221276,43.18486311729046,37.69974472675153,35.81089441104621,30.925940751523605,30.95980149533867,29.634961958923146,33.47719868824266,32.014322702191976,36.03466462884831,38.34592049989728,37.444681523895795,41.41679586929561,42.45635566340876,39.70715950052976,41.61234471494612,41.861165659333345,41.56497360820049,43.33872038675399,45.04696945914273,49.375116491411205,50.90392657383769,51.918979163970235,50.865489488142686,48.07754636962074,47.44547585792461,47.242797663675354,44.8641905723132,41.73880357951838,44.47288871130978,39.372573427468744,43.539399974545596,40.56151507488684,35.29504809219159,37.07813539141311,35.414818108659944,32.831424794854655,31.3832494929883,33.76166362542005,34.861984511199864,40.05288629693042,43.19068505618578,46.18430988867709,49.005469308512495,49.26251217329566,53.83254411703618,50.93971459632152,51.36541967234485,46.85527941432246,45.32417533698969,46.269646891590945,46.517428715321074,43.97243295102482,47.23684911010185,47.1926554765215,48.99957566647253,45.449818873206716,45.74800860293386,44.37372673320138,43.905924279491366,41.16442524411292,39.410481464239055,39.63898782640156,38.59076158679931,35.01481193123133,37.342901419756934,35.15534268518602,37.38559609585524,39.036996103918476,40.785545773250114,37.33848012284502,35.11703095974332,38.950970048230396,37.69058316425458,31.691785036638112,35.006834695264885,39.96900062422731,35.05616961793873,33.48628859637829,37.02913290025029,37.472007423235574,32.94388870411549,33.8556025995084,31.567365489202146,36.838766485858315,31.502635114666845,34.437529255191876,38.31096657669649,40.61144658193771,44.798007255910996,45.401050493988166,48.56287354240936,46.91610791183577,49.60697895306927,48.352638087960656,50.34389546822338,47.85894922451644,42.75734417871931,45.796542415723,46.28627134492074,41.57589750758753,40.585066781364155,42.5158578209965,39.5860413688967,36.15520555052062,36.67526696045957,36.377133494614256,41.29539483296688,44.27033118619422,45.073717160960314,48.74404227725241,52.12573908784809,50.79310009440531,46.06238274511646,48.54562031856042,50.71875243583534,46.35673605963098,44.177895039660804,47.61528794505766,46.888286610485046,42.778716425023966,46.00010112651015,47.81326121507986,44.243532270161666,43.12595189886939,46.203173480339046,43.75911438415272,46.26450661790046,45.458983211752454,47.122496179625806,44.92593943423918,40.20318369122204,42.41539233894113,41.76812283206806,38.69128668646467,36.95901644990826,40.57242422594114,37.71408393145237,33.19364445295329,34.70927923430356,37.05276890586405,33.60497007397735,30.286664865231373,27.33273966310362,26.68435543763417,23.217294939741286,27.149911446206612,24.717940611789817,28.30281639050093,28.376256596659488,23.628633916037483,23.900284008809848,22.744065949781607,24.79784032157369,29.380241907354467,29.726796284606042,33.269107877498946,32.46559069128233,33.68326118683541,39.178050571603116,41.288377001472966,42.77249698931096,37.37171061670574,37.826512768684864,41.153427437037344,38.23005612341627,35.376471978987446,39.9309425193766,42.414762368633674,44.04120105404055,45.551661386136075,48.153088299725056],[32.595858801215314,31.195846769805144,31.650882654863505,28.537368406265035,31.202067862803606,34.88888331225935,36.79754743812631,41.38883280238653,40.98122414170456,41.094134897646875,44.13301420329303,47.50362435557925,45.43216151712231,43.06042074981282,48.14515853939154,49.371316598079865,45.921627643865875,49.06504645451978,48.430084328713285,51.074002195457545,52.73153597773736,55.43333375001047,54.789737286388956,52.14434152695358,50.6350410204084,47.87434018851459,47.18571015797054,45.298925844110855,48.471799573753636,50.118871654177866,53.981565643497945,54.406238709033076,58.47016853139726,60.97627550959473,57.98934852087352,54.876980924288006,54.37041315631987,52.07157405306898,50.1028180324258,54.28597606566752,49.70477569114295,52.320385735825795,56.16792589953018,54.575553018196494,54.33822678287155,53.4214930675678,56.739140683575506,58.02486130314759,55.25132075443338,58.86556679981979,61.93255687658253,63.169466931163825,64.4531985959516,59.67132449249688,63.035066447885214,66.27938639520579,63.129400444264284,62.120339376620684,66.4088772114709,66.75768514907264,62.620452445810024,64.91477645810065,64.03502134975837,64.04756545230877,60.93032173212554,58.67334671468069,55.71948653786225,54.40909565867521,50.96676723734368,50.57082668442899,48.956502359829194,50.84345339845564,53.921760882654226,55.699957951697435,56.86739495151119,62.73784654450973,61.0061144999223,64.92105388033944,63.20716564572742,63.07161258988166,61.71994346310012,59.69353003519922,59.037926743402224,57.400082329718025,53.51988416061508,54.34652956307675,56.06540230661823,58.747487109685906,57.87227749205587,62.57250136876668,60.06787169097714,63.2120421132806,60.59609613961302,59.56044153559349,55.03752761249202,55.90424796241797,51.65482468257876,54.77329465903451,52.724548444405606,55.18446687802617,55.21157786805219,54.00061579426411,54.31688178108614,51.80870400530778,52.39694567886107,47.67152368944462,49.278061211693746,46.44342345387032,42.848776814186756,45.08619603708488,41.0983864113824,41.38941769208331,40.03990615675805,38.42804244691349,40.00352027091486,37.63596848552755,40.66693225331966,38.329265707609096,43.20059824856325,44.388494486734146,41.242742637304744,40.05928168298135,35.51185788986349,35.283060951404565,35.38388459539623,34.55356649714074,35.33645126740623,37.19197180884611,38.52786148033381,42.857702116237526,39.10896608095799,43.20203866919161,42.86327166120298,46.400366386585176,41.00336094145506,38.850344777605535,34.05615451008721,33.99319893585225,32.52890068753328,36.40444459429218,35.001372825671226,39.17243518771045,41.18682681482282,40.26749202651782,44.345561316285746,45.09217999304445,42.260169396442805,43.91537754910133,44.136896948174,43.42557995827702,45.171358971786574,46.44726397292,50.82508883794428,51.85820628217845,53.04131800913743,52.34632288775217,49.711962024262846,49.33842223008491,49.297463875789454,47.226414788724526,44.45042777471125,47.188837477817884,42.33988533347782,46.654536726082334,44.01330268722793,38.86044663508717,40.79867809776062,39.38333080552867,36.72124547436344,35.049515848776835,37.29895657401364,38.15235445748108,43.33972566961751,46.31225536885609,49.133244598271666,51.786100297205,51.79302911184812,56.54197943592865,53.906337824035084,54.39390383828504,50.11951692020671,48.3180967505837,49.63605326424393,50.10208848647219,47.52523529118587,50.81652547643904,50.63324886118644,52.65151814598799,49.23347300753507,49.63447370900736,48.39143852872586,47.77343692200062,45.07672306959037,43.20103327032062,43.34650275473274,42.24232068322388,38.45332590077518,40.56546683816301,38.063023886632735,40.04124885979516,41.49654548697542,42.98675049810272,39.536261060533796,37.25318010956118,40.83320777741626,39.31691606672195,33.33761068637219,36.509550777725956,41.210200573542295,36.045860087643526,34.3515614705329,37.69851004150382,37.96836231795169,33.261780349788324,34.03576141988684,32.11399584044368,37.25020701212589,32.4563827591425,35.642485925940534,39.3237623128711,41.96027577295329,45.85069341553135,46.921441363449176,50.22579778597608,48.8548307701035,51.755567745650254,50.648060326026396,52.8763890485939,50.23514202180082,45.206715436341085,48.50078076007081,49.1038271313684,44.324742698730624,43.476179424370386,45.6916859359959,42.69538663857927,39.09571505804965,39.97986564299944,39.19923133685983,44.21933829525859,47.094241763008405,47.51647431889112,51.173677888989296,54.29424227271046,53.0127768332477,48.30583973404489,50.40644461093455,52.49705181381913,48.190838338095865,45.82624546693354,48.94800083161434,48.05115149622079,43.916716561612596,47.09757150196759,48.63375855738685,44.85133399152921,43.81621572507473,46.932730410139385,44.73201000928646,47.54713345382438,47.08065896378486,48.87707467742368,46.320067263136394,41.71617923134883,44.35756119737978,43.545904274243775,40.30225024783308,39.039749325141,42.769433964888115,39.58236186335531,35.165550912966054,37.18493287155504,39.4058448548992,35.65784763269472,32.436420612292885,29.257301761955876,28.559505108424517,24.768353213790878,28.193459938745512,25.775110194104844,29.598201577997678,29.385772508593035,24.641847093826986,25.528012328124518,24.751295228019625,27.215655709229612,31.642998217225944,32.00209439269754,35.824028160023325,34.791841362249855,35.4715488747846,41.01154072807114,42.82743611078851,44.30299031692184,38.912580341464135,38.95820685390845,42.08635196278367,39.38238708656222,36.1022274882869,40.30796637048619,42.95193011853806,44.62232908409762,46.339798709934364,48.814116938256845],[34.658752803046845,33.3191155557984,33.72916562180136,31.402025590887707,33.925947687881745,37.971500529393815,40.18366371552354,44.711311529681645,44.736276421503554,45.14033146559725,48.32563173184066,51.47638721378625,49.458948058984994,47.4151664706249,52.52672505830511,53.58020318234736,50.17255746244462,53.454646269383154,52.95985231947565,55.35236395209633,57.1086898847841,59.61459366453515,59.103429367727934,56.401117929572365,54.76945396672744,52.186218120490494,51.281472932052466,49.43854673668069,52.60559879157684,54.10520170089043,58.32201852384409,58.39217733989628,62.55066141244589,65.15446268690869,62.0199965681576,58.985093215187696,58.175086882558446,55.945429401350665,53.82072606376076,57.68245422921161,53.29334705135287,56.26640036820565,59.973625111558704,58.15133714338935,57.94855119643633,56.826219267927755,60.17990750148899,61.49806626565981,58.43504086662516,61.90055969118353,65.12726370683268,66.21296995085912,67.65815798086847,63.03568386627964,66.37143039623628,69.72621316407435,66.76624141240994,65.83148470496388,70.11256498929515,70.50846273738566,66.59293239095558,69.09027417281948,68.27820891036122,68.46097824249836,65.19408718928642,62.88913058918647,60.23714409508429,58.90495287270755,55.6742183059627,55.2838129409728,53.80516039969497,55.84542106597708,58.77945286949063,60.50188103585729,61.4879936345774,67.34243500385733,65.37337843431878,69.23515180355416,67.32989700272933,67.02209829450724,65.44761198914199,63.199131286373905,62.36511340123545,60.497086960547115,56.73063991310384,57.83859942155959,59.839280127668765,62.49142081934851,61.9547452823809,66.71257920185437,64.42095926698421,67.74039920221422,65.11092702420288,63.955364277889714,59.398014381697585,60.37726203268909,56.09266762870502,58.89898878945993,56.66290578564429,58.80032588211521,58.88107063325495,57.22322744170966,57.65805744487452,54.734253808599476,55.02098848396496,50.21548650878303,51.375214501123025,48.31417349695815,44.75137134616327,47.33123113372374,43.58123560201067,44.31548445791915,43.352548244549936,41.905219616654875,43.94271688011275,41.66754439715296,44.86312737822829,42.62755572915537,47.70050994316316,48.86749550439181,45.82460388721169,44.52854087423362,39.928338251706506,39.42907005687019,39.25266533532518,37.98064377055769,38.20147411179509,39.97992919924533,40.892219697186555,45.17132584109078,40.96859123240785,44.76317353785164,44.620867752949636,48.456169610358096,43.24566084079226,41.53929957664563,36.40779820312992,37.01319254062835,36.01642181062513,39.96526189150522,38.892875223005674,43.02519668465294,45.22357905749274,44.131835733658356,48.0873766461175,48.90936453089368,46.0369670180144,47.61143666165182,47.542332388713334,46.90928644767186,48.270411423924706,49.749867870061316,53.850768302568916,54.973278410791956,56.4512598287969,55.72571903496374,53.25853063229648,52.56396970193854,52.81588080513946,50.30497854509174,47.59366721843447,50.674664315342355,45.757075067028616,49.97429067330991,46.9907651983518,41.83076443488676,43.25946725426932,41.6259444616541,38.75891365947737,37.591361850375016,39.75662101004064,41.06553684556331,46.186570025273014,49.22805827180335,52.22452197119352,54.817384704046034,55.19287857242884,59.702118006525815,57.030035718165024,57.239613177918784,52.890260294673844,50.930852965760465,51.87970563736977,52.19238280975433,49.87932994697513,53.50283426367813,53.70758861805498,55.54457308014366,52.069489571716986,52.069082415148,50.50683508716962,49.9157136483825,46.875434226349,44.91020614174632,44.782821560376014,43.267745513907904,39.71185967125568,41.566034436963676,38.9437060274959,41.368805354127375,42.25035290594785,44.165523472884075,41.02748587410038,38.14092673554534,41.553930050376856,40.585526540130324,34.5092139137956,37.097719637414684,42.02669309222919,37.32205339093177,35.186543938859096,38.290705091937554,39.17184393722667,34.500878348037965,34.52635666695764,32.44853985727522,37.15911281090057,31.785033597195138,35.36511778924342,38.85257093115897,41.03753035330693,44.92586569211368,45.75122852991646,49.39237154296085,48.31616712260695,51.38152690554038,50.74632752753505,52.62591856877083,49.62408155045998,45.075789640049926,48.508805537198434,48.55580503035971,43.78471677183808,43.41997294043973,45.59167292154436,42.02288135564601,38.65127116481287,40.27962938148977,39.56679144051247,45.06195979618824,47.66114281068636,48.05321364397296,51.99296376657092,55.00183705686644,54.2035260696092,49.378155256470606,51.205814103429375,53.69081554833315,49.656510423932616,46.919978167160124,50.07154849832608,49.45455821307506,45.17097950002664,47.86833189724266,49.59493381571571,46.09993945485528,44.51472919244574,47.3132615644283,44.96360579175835,47.72035018848478,47.49013828212779,48.84458395529269,46.05326530372636,41.88574631412943,44.346229019438496,43.015915938223564,39.88460874495215,38.93803948474568,42.043035306304965,38.458197807264966,34.590659298444415,36.6733294636746,38.1326735116944,34.18422512451291,31.387870589060466,28.77145295396302,27.094530321188163,23.752106594500972,27.206703456402128,25.81616693127382,30.015229081240985,30.615749107210082,25.757177638255527,26.473225858803172,25.086590744666328,27.837984276132442,32.22957950037568,33.531508821881836,37.33150898253604,37.012299885052734,37.491128299957545,43.03784415709854,44.67802898073941,46.641409066408144,41.3228644769107,40.97325594377886,44.42061162051461,42.20905475692579,38.613370968095886,42.74668706893636,45.69532146916612,47.63745271868354,49.5329618501424,52.11049572248543],[32.117914617692755,30.393093169696158,30.23570971760725,28.08974010822595,30.061116583029605,34.56491566893865,36.69041047442388,41.203037569161836,41.57489053735746,41.95949655946245,45.30372922214386,48.31022918411292,46.09446651910022,44.38076723166416,49.46259240978872,50.28276011725659,46.83534443002761,50.19754425731513,49.84490144689089,51.95700093441521,53.84724366724394,56.19161809854257,55.8784129690145,53.20933245570448,51.37036211999118,48.901828666017835,47.74889658373,45.92799810972194,49.09152715677146,50.511313625975454,55.06325183710036,54.86092693855922,59.12282969423045,61.71661418342156,58.428380341228745,55.432010290181424,54.39787749042532,52.18496014535631,49.95501370241811,53.61879303084564,49.40400799741077,52.61616734666735,56.2298631886858,54.28514756059261,54.21012073586868,53.047806965046696,56.45225435513034,57.656638067812274,54.447589535633014,57.887090727014495,61.10735825408019,62.06966180685092,63.562396584627834,59.027593966078285,62.27342667396095,65.72370954994607,62.917496595275054,61.96964067029061,66.23592504773326,66.73295260021061,62.96986766801237,65.60187986119087,64.81657201699917,65.21664185674486,61.82852624957931,59.42862396629214,57.09680878674297,55.72482289362155,52.771789498419004,52.425366613888926,51.13383664587773,53.42650595062909,56.10974087100587,57.71862771605123,58.460058422091436,64.27093199897448,62.032703326342784,65.83563616338742,63.74785896137607,63.29794101144352,61.55294847344253,59.16290999514399,58.22546354294909,56.23063418433923,52.53816460319038,53.8045868611916,55.992611508828105,58.62587624240623,58.351246684506606,63.17335416405018,61.097413313183644,64.60759043202489,62.01985972799695,60.80374811514478,56.25993255590137,57.45357093361869,53.181055467784915,55.64799847672404,53.33619061868224,55.37550690261372,55.23871523217558,53.36986945439665,53.69746379494616,50.61049289161545,50.65348475221243,45.8840015037182,46.91948212374539,43.753552111183375,40.28615792982099,43.01331576683501,39.416572922397634,40.198371730495516,39.542301109056524,38.04692858005959,40.407585654286486,38.144394515873834,41.44186406132576,39.31521641325929,44.59019344925955,45.71224307452954,42.82076259729183,41.45703180085748,36.798671573125986,36.100052207387236,35.82498547945286,34.12422919131678,34.26141738216715,35.78592010459619,36.51635203105468,40.69724922138181,36.35237579532711,40.071319874118544,39.92213901084231,43.83801140936712,38.677944999764385,37.15543354250045,31.91653706065277,32.79475074901594,32.07720787570002,36.050949687289446,35.30141553205376,39.45277345627405,41.694145035365636,40.42515044512353,44.26860669170426,45.13249290619413,42.253511543466736,43.82663238748984,43.62191548353111,43.193229615226734,44.42390184606045,46.202741311293565,50.18536689798213,51.64814509133498,53.099528246885605,52.147082582925286,49.6623079078187,48.71998920635829,49.012922062229975,46.21382115049957,43.43221118691772,46.67128973134686,41.715664376003225,45.863042904989506,42.738321492299654,37.637430213986825,38.8236797117863,37.22548317941147,34.222350536609675,33.19895414131317,35.28338553184376,36.77142869266876,41.83948338603672,44.90299722790035,47.985524947549465,50.574237428326796,51.16954068843475,55.51749259472761,52.79279913042474,52.87520431137853,48.48962844890333,46.5007413749285,47.29060911882245,47.5639832946747,45.3381710447522,49.10699640291539,49.49570714381851,51.3061888026774,47.90599209489259,47.70051264930153,46.068456378503534,45.393925383670705,42.25072682777324,40.22412355444606,40.02848302484521,38.46222439362416,34.9391927360885,36.802200074583006,34.25767986931132,36.80313190129081,37.741586724374564,39.79659401892629,36.682616007470635,33.7883232645412,37.34588587642254,36.5451717944941,30.44558823387337,33.11780345152216,38.23071691974587,33.70903309855442,31.652524886142793,34.91878234426034,35.936798374278936,31.40727978704795,31.557151491037995,29.173536739094537,34.04531998607366,28.289447845224018,31.64358543051746,35.31041262121119,37.33528446830242,41.45687990225303,42.00248409882953,45.491869371893415,44.19217291474324,47.12243691466929,46.35553014432133,48.16347375544718,45.28330156850961,40.620447713746294,43.93660251116957,44.01667059844593,39.25627439725867,38.77530201692235,40.877228320365504,37.40404842589417,34.027188918793236,35.49456505555872,34.91016866122327,40.37457916205414,43.009181090799764,43.561891583439504,47.508441315286,50.65156946608372,49.831131570628095,44.9867747614595,47.02221428885745,49.56326406155782,45.508511693089964,42.863604360141814,46.223604973641,45.732694819314275,41.45774973268644,44.18251631676249,46.113934655753695,42.78373251681773,41.13333436424949,43.920918625471934,41.39094532555533,43.932827864143526,43.460359473595275,44.76706548207101,42.229916217138836,37.92972629392814,40.144189770513286,38.97162559357943,35.91898290798882,34.651146875592396,37.78905773930879,34.45350569557669,30.40633581930222,32.22981932230468,33.9063477148965,30.14138440696368,27.172631401741445,24.569607150232958,23.100500460017983,19.82981190874544,23.670018435668027,22.131375238775835,26.160498838606905,26.97929816043414,22.10691260159565,22.397332814879054,20.760734617329163,23.317902612346767,27.79621351317608,29.155073028559315,32.82715785797749,32.726513879302495,33.43603182745068,38.952831902980314,40.74255331844399,42.78184886908666,37.47688961134378,37.326273101414515,40.95669336407204,38.69643275640877,35.33458512705308,39.71756712191392,42.594311676837066,44.56314709973782,46.353368102077866,49.0541285171831],[28.681242143695883,27.092593808115097,27.29054918834723,24.841577903401934,27.347102008965077,31.392681635652643,33.624057934852445,38.138898985194594,38.27064449988301,38.791057660633726,42.04212644519619,45.075418530417416,43.136628082342675,41.26772601474611,46.400412765367435,47.38604640274034,44.12104624247689,47.593371943302316,47.4564179977112,49.75019779391738,51.782069799892504,54.37331634805476,54.113754447172305,51.611933441958314,49.6927643245577,46.95262348335475,45.77404034801239,43.68670171236221,46.66246448428199,47.941879825662724,52.26770424330144,52.11289241836533,56.274403449492254,59.01064941941215,55.87878189403539,52.988650862886445,52.01967105439277,50.09216029873649,48.06932414540499,52.09924815636884,47.91282803375372,50.84835996645435,54.63830967529631,52.91757380361824,53.01204796482336,52.104189853248336,55.53781314430305,56.54101041284074,53.53008603384604,57.16460792190196,60.16142806583598,61.13231649897395,62.455933286950064,57.791306394750166,60.87721187069531,64.3786138954769,61.518117088032525,60.330995718839056,64.59661496314048,65.25924136329157,61.29892560835201,63.687547239523575,62.68717931044652,63.15865908053356,59.943606523865746,57.39534254069139,54.84213617656895,53.26075808336734,50.20345984290665,49.603914027376476,48.311842750474334,50.54558940464769,53.265859064158214,55.12031584936773,55.80131566728849,61.709469834381444,59.68107195398486,63.40319214571202,61.48845235175092,61.28243057168089,59.52409523235856,57.39648688997593,56.335808059285334,54.61475984624723,50.94644851220662,51.88553758596956,54.02060196937978,56.44170136633127,56.086170672708214,60.69476315128125,58.493414837231676,61.893155506543714,59.16171271956214,57.856319152915006,53.25837865719222,54.276300035133254,49.965432613307975,52.58224956015646,50.25151615524204,52.27716483036998,52.42186018550231,50.682262398913466,51.23721744490791,48.27378820911129,48.74410953846413,43.86805027607592,45.11008620937111,42.196172750776626,38.5139828289543,40.94212848150178,37.09748046920097,37.879639013841725,36.847656068950734,35.557875992981856,37.70233082642923,35.615370176170956,38.98308185439145,37.07902627140778,42.33616697943958,43.16169511140331,40.144258062108946,38.61553905544851,34.067075764403725,33.293318944513864,32.88720189143172,31.62025481009138,31.65067441316562,33.58955986697056,34.585226358187874,38.99638600579497,34.99495051166056,38.93356296903143,38.967824202110535,42.563265109091546,37.42233137433242,35.50150628086314,30.442545650632695,31.059721033912282,30.162882777415742,34.18447823489127,33.59493697543821,37.973401677158975,39.85268083026457,38.491939349383735,42.437841402522864,42.987200585057856,40.01977786677788,41.36960641952421,41.16756078614984,40.41978093450994,41.70923001714611,43.174215909728936,47.26052985849155,48.431009136879204,49.90323675726663,49.160088355607456,46.73821942605284,46.024597060563785,46.38176763944517,43.889567316573974,41.385526107339395,44.59695185160954,39.894441374704705,44.21351180772156,41.50728952438398,36.557244480866814,38.00592507737959,36.82427916307379,33.739409276301366,32.28560667245418,34.22388825793011,35.33721080566168,40.41887891168466,43.2948675246382,46.17755896319739,48.619160461711765,48.93734262228272,53.48053293475979,51.00349238950603,51.19376060944238,47.06398965836918,44.83481754593167,46.10729096557503,46.674053649979236,44.33274100450401,48.076274880585494,48.25800807619915,50.37795079740326,47.20214264501983,47.15824986255403,45.785911677588054,44.86425464148906,41.877769616106605,39.72027066704458,39.539748235316914,38.11780539141465,34.245595588195776,36.03000450216244,33.27001810167062,35.3582919265392,36.457301726563394,38.08537959978607,34.80641880859777,32.18718476629751,35.66658230545142,34.398524280353364,28.349899138481792,31.269503153008344,36.10109594670766,31.183260819317187,29.292471305888863,32.60541742287362,33.209670933357714,28.565324377536946,29.065885278841932,26.93902820284576,32.02314951245402,26.95081206719284,30.169582927814336,33.85415181607002,36.396242157950674,40.33878546083811,41.34563920782657,44.67242551905967,43.350255659289395,46.30951580688287,45.33987843777132,47.554794357211776,44.80859074499162,39.881301974841605,43.30174692726818,43.859672490813224,39.052705770745185,38.35485864304232,40.741494459120915,37.6354477471533,33.94809756963761,35.23095832184858,34.160535187911954,39.41569420999157,42.12320614928167,42.389999110374895,46.161635607530414,49.178003217162676,48.13259871574856,43.36527966034644,45.28834939118182,47.56750120377671,43.40831956785947,40.83147114110792,43.99191610303749,43.264328394231285,39.04229703961712,42.006577151282606,43.69282925330941,40.10402236401253,38.78195216078322,41.77559709762855,39.458081672883544,42.21013918432686,41.79798620930092,43.462923427895404,40.85441875463811,36.346195797709576,38.955484602314826,38.02408513106211,34.78872347063947,33.629091753928584,37.28513745684753,34.02357436554549,29.654814313240703,31.810535109438597,33.97005152665786,30.161785376751858,26.946995951309034,23.75012097004148,23.06294035306032,19.20835987373807,22.644423849345053,20.353300654910367,24.28140551184787,24.462255488882523,19.62856145604659,20.39819686861542,19.42651635862265,22.10325187806011,26.471536566739914,27.305157066969446,31.20785165016875,30.612287769232584,31.028987004762467,36.58692009447802,38.27193302548963,40.11056146844044,34.7717548063072,34.54237315077504,37.95217136856457,35.63293516293933,32.145055402028255,36.41155837731639,39.263705533431,41.17883742612272,43.027029274780645,45.657642708511965],[28.82534351335239,27.755155753355176,28.686847299440434,26.530081679203303,29.75281539040858,33.2343613429268,35.821664509759394,40.22778823016187,40.21649619066583,41.088627043268815,44.20992716239899,47.174583236902,45.69290246035388,43.70984967772925,48.87966290769015,50.04496937349375,47.03253749037341,50.61839438384155,50.676574583630774,53.12820598439755,55.252071021810956,58.017415721928735,57.76860362883888,55.361746173806274,53.43558936109064,50.522845521323,49.34507232623076,47.058449831511986,49.843603729171555,50.934698774249185,55.050669893378675,54.86735717766733,58.9081654799623,61.837598482717546,58.863352979659304,56.1186545505419,55.144904669484404,53.525032919488076,51.65538435443428,55.878878043207614,51.765015935092215,54.53989725823465,58.424667723237945,56.82576253616695,57.01123848785989,56.20994565987569,59.64955760102598,60.56732245158979,57.62417657148289,61.327306301827036,64.23726876345685,65.1797456527611,66.43586220712581,61.73569428824736,64.6996472873683,68.25093912159738,65.39322981863086,64.05889264665859,68.31174900070691,69.09045202606715,65.02676785444349,67.24857041801421,66.0875913201403,66.60203422914547,63.52600199303168,60.884649372241164,58.146800430141404,56.39809668136499,53.22613364826102,52.374215218270244,51.05509627097593,53.154717335348415,55.965025001402886,58.07407202961665,58.73193259300566,64.71959618722889,62.90223727744946,66.53447948719526,64.76831984858673,64.75320965930028,62.9415330948993,60.99135603670794,59.761045119989184,58.20877652674299,54.62034021371493,55.364853932836276,57.52038938433169,59.726823226027975,59.37307097857914,63.762653765077424,61.46841242563906,64.74875262572652,61.85911082089253,60.431542038682856,55.77693436111495,56.55981711467565,52.207839757513085,54.95016656129913,52.532550836716155,54.35396027357163,54.94976055484947,53.149529381134506,54.072282156498915,51.041902869231805,51.82756707715379,46.81545880961593,47.96867762046997,45.20414552031382,41.3321607047397,43.631178221422054,39.69343160923141,40.7733676543459,39.49976280483215,38.56760857674201,40.604454935272564,38.757960214214016,42.18998400004348,40.49393146456109,45.68566563110139,46.261652474855,43.129515486182925,41.43830055742003,37.048977811149264,36.173750043148495,35.52857754146581,34.64363384790612,34.21485155214818,36.602939819438745,37.613862052600226,42.19374507525399,38.28504485888542,42.18839306233169,42.53502735439056,45.995952290024036,41.02926313672651,39.0053765328916,33.99100731189427,34.69199784556809,33.80717115327829,37.84273982029136,37.401011120796056,41.87872276788502,43.540768434863274,42.116822113540174,46.10031689242887,46.399284650318826,43.36104270821088,44.44420855238839,44.12438589761641,43.01539810031763,44.140834043932045,45.245026167654814,49.25635831318812,49.970089373420194,51.69580870461132,51.291585541838664,49.09034009489404,48.52201289246763,49.128331773091915,46.80358813326329,44.66871750822558,47.968734887329425,43.50665118472625,47.90934858597691,45.425516588391666,40.59784768504113,42.04332575308441,41.029083594395026,37.84216582233833,36.3294124013709,38.122712303849625,39.1287710307024,44.15538944260656,46.880866429849775,49.63767535591706,51.88753468269104,52.08303229611802,56.696930409516355,54.466454763482915,54.62824738204598,50.720361790653335,48.201585659376946,49.71301040633337,50.44083026692113,48.15473099130086,52.00197597231207,52.167059980574706,54.43107748012672,51.36827411325792,51.30542186258128,49.968985792340945,48.92000019583868,45.8971637926498,43.616258522064584,43.28863020110013,41.7194539799226,37.74893745776271,39.24138103446828,36.17990510921438,38.119194675872876,38.85171872361642,40.32488019877478,37.17211971836882,34.35341495054943,37.48060047234183,36.132487339696226,30.168310994450213,32.717574492977676,37.28546845128476,32.31492307153634,30.183193151890226,33.17027942813511,33.782768874273096,29.023716407033227,29.12607389990485,27.37131641928227,32.112093128802606,27.523095714702905,31.071355433835915,34.44850664673726,37.19389588658581,40.78403240570515,42.21066365908654,45.74863244088386,44.79505684426857,47.98884970835072,47.30258740060344,49.64789636581112,46.669820720188355,41.986836911720545,45.66827258711207,46.19187709460816,41.36372821203615,40.93938417551693,43.57061194703396,40.29084616178865,36.53763321000966,38.34826120546996,36.83806400335104,42.259995504936605,44.76828813194511,44.64631555329447,48.45188606076061,51.15481070107544,50.306657952408315,45.5647425492749,47.00985510503682,49.30498018904118,45.315994227718505,42.46416861418102,45.28887949315182,44.482712623105336,40.226064000322296,42.97401619202955,44.424696061312005,40.73817747414837,39.33827225460028,42.25143531662129,40.15841611961242,43.18777712316466,43.19364234238694,44.85534797217532,41.83403608008602,37.61646071943638,40.58576302830542,39.354783298960605,36.014032720366856,35.44057536199071,39.004928045506524,35.340705253519936,31.286806087623663,33.94353056094083,35.75485823250515,31.642704009584108,28.69218087530174,25.483890244160083,24.507942847911707,20.540025520762764,23.31605436101532,21.40306397900935,25.593671417382005,25.72234839366361,20.993300676538382,22.334061565238436,21.612061002375786,24.68812864908706,28.783235480450593,29.87761391978732,33.97812160952944,33.37639530606151,33.20275921247369,38.731987590275104,40.05170952196832,42.01565123626193,36.7710992494158,36.01015652925788,39.28780285047701,37.37593522147497,33.403222252292004,37.24598989191398,40.33597703831912,42.372911989896075,44.47340091740511,46.990186482088774],[30.007277548386146,28.586957604518282,28.820885186964222,27.542102510144414,29.941792667950597,34.2128055266779,36.86731261897087,41.18980412228283,41.855180804172086,42.83253440769706,46.20289375771053,48.888077146670874,47.16335983305662,45.727566310449674,50.84917137325036,51.64275285258058,48.556425624538804,52.233769553327264,52.39596039311145,54.38984441256269,56.61495244258087,59.0218255922547,58.987790436397134,56.5081745990799,54.38423514343845,51.79013092489742,50.300216849706196,48.17629920809456,51.02299963065099,52.01049819284836,56.70468846375813,56.05545033498876,60.27313694055731,63.19083443809462,59.93860184675539,57.23750272071213,55.862722021803066,54.191201939089204,52.06193946767127,55.759485865407626,51.91558697529903,55.206930492400105,58.846653781074025,56.91804075721875,57.15616266718278,56.09106233283048,59.569943534257476,60.49694630628154,57.18104668788277,60.67918917432153,63.767708275787626,64.50624229782989,65.97010378072173,61.50887084858451,64.43754348167933,68.1083339702212,65.52464086542865,64.32842751797777,68.55311082306355,69.37454618066461,65.66451386590725,68.21745641022703,67.21270637283202,67.97485231386852,64.64147816041329,61.963361739504734,59.76354754321771,58.06430304715781,55.29211154185023,54.59388112491053,53.506372626447664,55.919708509383035,58.425639083809784,60.29737737333331,60.676978174229845,66.56644829154239,64.30070798386775,67.88013878892238,65.77686954098468,65.4369218717065,63.35245378746214,61.0440070264779,59.66325409078001,57.7508678296976,54.30452154555169,55.4868579138607,57.99287831844638,60.24382822979326,60.353716113017,64.91065648425493,62.98244770548391,66.56597731876548,63.769376420343704,62.26008162335798,57.62895759513983,58.73141814819037,54.39551508239889,56.59209488330822,54.00749555219546,55.53700259536186,55.86963796424025,53.54704993975576,54.36831569956257,50.8793588519006,51.087886353369505,46.107954439824645,46.75076855998148,43.65671562446781,39.98110763983206,42.75046443828071,39.227665843352234,40.658331278076204,40.05764322349437,39.12211991457021,41.797444317663405,39.955620754449875,43.523933690664926,41.88820694837341,47.34578090848326,48.00114759636908,45.11516012019185,43.38377794426522,38.88725431899687,37.72867000210537,36.89078178578401,35.20073311354248,34.36009236234944,36.3101793264344,36.763125601378675,41.11522300405456,36.663616912231134,40.17800420082897,40.61315857291246,44.44378810998338,39.682888227836386,38.2796421875725,32.92067067290135,34.39756922797721,34.11924962568282,38.17286137065604,38.13405816410555,42.48979212471577,44.431366590201826,42.803663653728066,46.56184053261128,47.06558792184134,44.044820777485945,45.15788326839831,44.53487873077663,43.77910974044411,44.505534265593234,46.12146757213144,49.78509495333755,50.96492719511585,52.853255891789374,52.15264910227848,50.03092577189789,48.94958539626577,49.7591709632796,46.78788683984424,44.54592526617655,48.20093036567174,43.58871446920495,47.783013784841835,44.81665111057677,40.01446079821314,40.81522726977924,39.553009805362514,36.16751770325702,35.278141692771925,36.974208863169736,38.559145854585424,43.455472758941454,46.29690546959675,49.30346780488687,51.55323339574914,52.285176774001556,56.51365770293783,54.129116506434656,53.95455373275347,49.88983090117219,47.33195809861111,48.27388512415599,48.75688838591417,46.783955594785105,50.971194819227506,51.62375021381474,53.620100527704466,50.51455194029499,49.95692146703605,48.26407600278187,47.25091794559826,43.86709704568662,41.5262167262063,40.93261160516914,38.969925095389534,35.338093304667915,36.637598997097314,33.62303954336641,36.14737561289916,36.40663546258713,38.47137442093032,35.66030043035665,32.27322559221925,35.39562714264074,34.80182360227337,28.762054277451785,30.797250884852446,35.79233050242683,31.525580159410072,29.05906347149336,31.957356576790925,33.340777650089464,28.822379047509877,28.28966244969774,26.03471392088154,30.457817682032747,24.773739097184144,28.513586398130595,31.87351156668077,33.91348468040565,37.77705274915311,38.593227214249744,42.338797975373225,41.44889231720644,44.65358572205756,44.3098655581875,46.17793650116187,42.96475698588299,38.673797826334045,42.33617557936531,42.28536174600967,37.493183380080936,37.4471303675974,39.90271579283423,36.127727842346566,32.65735839138887,35.01785693678694,33.80328002810552,39.6255207412911,41.906886828447824,41.98165530987733,46.066309693232625,48.82818972893986,48.42037228955171,43.559209373987315,44.99834409878824,47.73667716445993,43.98907918958364,40.91216248172892,44.003191835002966,43.61382350699942,39.24665136727082,41.539063831535515,43.40693265897041,40.2032445206159,38.19179180058158,40.75397645521579,38.306115967906955,41.018656949898016,40.984607445835465,42.119759412208566,39.15138502822274,35.258951083061085,37.729219943917144,36.12020724094656,33.002974591044875,32.394477428379304,35.28848848432789,31.465214060597646,27.840513488795068,30.243615342632648,31.429313518874352,27.294585024351292,24.655739726839766,22.13957665317173,20.204481470935953,16.8669441885722,20.132897256473132,19.311030494274075,23.689709538252945,24.93022243697841,20.144049479960053,20.77751677145292,19.109417217460514,22.22148975141554,26.336539119864575,28.42134627270838,32.286772820687254,32.58952256815042,32.56069075350788,38.015924389790506,39.36160842999655,41.822146748091924,36.68345230096365,35.83544669331341,39.57422642810065,38.00925358814,34.09572101903515,38.123107301159834,41.35502804273025,43.61278891058884,45.7038522012598,48.417637604173706],[27.592796224182575,25.74982014177489,25.410650346906273,24.03841934337779,25.936513663612956,30.56998177402051,33.044963779139444,37.386374230751784,38.23441962457407,39.09058556264761,42.55748256658555,45.187310010479536,43.25197406440124,42.01065025293232,47.088040712257225,47.7256294186346,44.584940136660464,48.27727198467745,48.50771689473975,50.32949551614316,52.62729251364919,54.94539571424772,55.03355794940768,52.59978405899179,50.34711766702545,47.81273460153474,46.18127593798643,44.07403973979158,46.92010985007228,47.89117746936514,52.76846285903208,52.001386542618455,56.28175389609978,59.14745920668354,55.805386068802385,53.10552837233587,51.63685047861168,49.944331742834365,47.76910719030453,51.38723205566583,47.63076015534323,51.01682881764708,54.61238021070409,52.64954030875837,52.98077987275405,51.94464411132458,55.45006656975768,56.274933167879446,52.93346121643404,56.44900317138581,59.48042751172192,60.167042918259284,61.61808086880939,57.18095156438088,60.053585273291354,63.76485289916505,61.246565475440676,60.02439668620766,64.24001140626788,65.11987628430171,61.47385297455164,64.07656541241018,63.08634131843036,63.964385106013964,60.578748820585616,57.84869780931078,55.83511985528716,54.12259188849564,51.52884617758449,50.88125706325296,49.91433339315105,52.48757527627085,54.818831320654205,56.59201827973955,56.83054172145477,62.67195803282211,60.249594262750854,63.79981262927266,61.59981742286179,61.18512278431086,59.03566270139555,56.66912821162659,55.26948860943818,53.312212120439135,49.885233754287235,51.1235387778137,53.698315546093454,55.955526592622135,56.17601573705682,60.77746076621685,58.96749766373299,62.65659588993954,59.913307554530654,58.401409289190994,53.801203274167165,55.058828939281554,50.75420169836505,52.753122835194944,50.16824246136156,51.730200179818546,51.83423886434814,49.47568818591373,50.147044763384436,46.647537781226056,46.7288748754072,41.794425742080946,42.48509868764926,39.35082102452987,35.73535027779475,38.54561434117941,35.0664558796983,36.396284376645546,35.96014536444177,34.921939768461655,37.754456248301445,35.89544927756319,39.49769732536001,37.931810704673936,43.485378057162634,44.115319861138744,41.34055777900978,39.59526908720277,35.07613267418343,33.81893988012288,32.9755210089537,31.013156914460804,30.26504500773389,32.0024320974635,32.42172065991629,36.722331599413636,32.26317423611626,35.83316441226917,36.193529320972345,40.01545620899488,35.21704713662516,33.83476043792546,28.459544402664218,30.00094096125772,29.85230326954141,33.8987536790686,34.06269623320796,38.4272557682021,40.34687747297107,38.61861556030129,42.30736979626779,42.82916828593002,39.8183005325392,40.958962130172765,40.308763740211795,39.72240709348896,40.46192306463866,42.30005475943231,45.95955292296145,47.43715330960695,49.19242418364811,48.28472372910843,46.07907653624903,44.87488563469726,45.61650812843078,42.51972770002255,40.17798451112322,43.868833732972355,39.23810516138282,43.39928818055783,40.41503287948159,35.672665948934515,36.41061200021725,35.255596278925395,31.80686112607683,30.88793144124804,32.52644492824479,34.13420201506076,39.00778090469679,41.85261508349728,44.886440768403475,47.162535954672194,47.973501598867,52.14335041185433,49.70935646097827,49.515992815103075,45.429337502487634,42.89875523396559,43.8173637870106,44.31398949243272,42.32647358454929,46.5361297799314,47.22452404128981,49.25143775618974,46.2309624159824,45.62522117037104,43.97777302183588,42.88237399021537,39.51445631701279,37.14194186232933,36.57659676649193,34.70363241746555,30.99036145278792,32.40041703640869,29.47934949210151,31.981426482727592,32.51741138842617,34.58018593190679,31.651790492316405,28.451219307502832,31.82099702489073,31.181492502556775,25.089575342241474,27.46899589878607,32.609499835707915,28.31625700129463,26.08519465741038,29.275577674301758,30.56408702639451,26.15049153699622,26.047933737398125,23.516935333870787,28.317839452191382,22.43965139462443,25.795080395480753,29.45126057024334,31.52175691329933,35.63872252024874,36.27137520949916,39.73664306726579,38.49928610224092,41.5167352447696,40.85280422188663,42.790138757603906,39.82482408375614,35.206955704174696,38.71520756523581,38.90738112908367,34.10169220653517,33.74343124953579,36.15734773137056,32.679488922302774,29.08829911363396,31.01229102965679,29.88708984359547,35.544748896331356,37.98554712687248,38.238106327269136,42.24637635752684,45.20301355337948,44.585449044323724,39.72165367153687,41.48634935345795,44.14521654894993,40.25187822891768,37.39083388026851,40.699412716188036,40.325735697692984,35.99969292262138,38.52281835426705,40.53010924791312,37.36181673333571,35.493711412589725,38.182121324496435,35.60053227252137,38.132626793290065,37.757718443914165,39.02382753299418,36.394362772999045,32.164362371974086,34.47056050689297,33.22168647460867,30.12041515321955,29.038095190026674,32.24482066307717,28.823869431200105,24.74303378763844,26.869165997392155,28.615304175781898,24.73263761521733,21.696078216583164,18.89991849808937,17.638015652552752,14.103326318642912,17.85871064095843,16.36172147716554,20.46852496800178,21.641440254736846,16.802663093097998,17.03540289242479,15.294941978481523,18.171125703630437,22.465556029678527,24.287485154790076,28.077865346172793,28.352567572034186,28.624386740352538,34.09189837355471,35.663519820286844,38.03335444528576,32.85060034520766,32.343845320300204,36.16908769364226,34.36670108830662,30.782572324737167,35.103840516028725,38.16266348348703,40.350734549501375,42.28291029527194,45.08049914119014],[22.893806788162394,21.6119736724899,22.386792368487022,20.751253681240883,24.020170479269474,27.528662662459148,30.4104055396508,34.67580760988604,35.06849077492362,36.35423517686495,39.59344470332023,42.216261020019026,40.97515751162716,39.435539343324336,44.59222688133176,45.58095160722695,42.86276125861633,46.75449649315305,47.38365383945582,49.55868826589767,52.0767196102062,54.83131649938727,54.974092981311244,52.82380153165178,50.49641256393628,47.501199970486134,45.87204478761414,43.29725372171607,45.75780102264075,46.425488170103144,50.8209345367409,50.12584650868988,54.17641895691831,57.34683406734075,54.33505473913196,51.87108388582441,50.51814635490687,49.40186084742141,47.621668258407055,51.85765731003041,48.17407725155044,51.044428372336476,54.92556368088428,53.3569699602055,53.94305020524749,53.31399859212625,56.8368739588317,57.36150402669219,54.36233046528962,58.16216301949793,60.837320738684376,61.54016224394542,62.71532959250645,58.08705815780431,60.67869470975429,64.45702416699221,61.85401382576915,60.23507407488896,64.42808706251776,65.57788190377023,61.60247738956923,63.76049056158041,62.39084330312757,63.36291675372587,60.31143893122378,57.35096320157943,54.90994944000473,52.82727752914021,50.01566286895341,48.8751795028432,47.88531051053593,50.27840481193767,52.71537584734504,54.970814259625215,55.12899523092131,61.135464395619366,59.14890510225169,62.53359279413056,60.67855267152757,60.72073148702088,58.55243217889234,56.67112622342277,55.030572782403816,53.57261020237527,50.22782699208635,50.876473924952045,53.35238506683865,55.191245540477446,55.27047740182886,59.433833457247914,57.38326803235759,60.82679610830407,57.79858588827918,56.09959654416376,51.39988141039009,52.25896180162297,47.882079270279434,50.17949911457672,47.523880614415255,48.94559409618189,49.73744844273834,47.551647853671966,48.77100964856491,45.44156650514889,46.348685872869666,41.2073060337919,42.16533565769392,39.522399052957915,35.49896242798133,37.7472233682076,33.8447445906479,35.34092564728193,34.17786264611749,33.67365016048313,36.08721967364699,34.63992151745627,38.345722305385664,37.2136130682274,42.647503568862064,42.72415484384527,39.715939034287295,37.65518045679906,33.42397161512739,32.01189690652736,30.83026962586193,29.785432466331077,28.59158901710319,31.243535780773826,32.08633302368533,36.794405204350376,32.967432758115045,36.81200679473971,37.592749602779485,40.82626068227128,36.18700448267526,34.15910629103656,29.166754566649573,30.30385781334956,29.870394220810724,33.936444483927296,34.35898796121017,39.03815351044804,40.325680479019766,38.47193341707246,42.30699285435824,42.24420334741928,39.08971768199727,39.75008341218913,39.04978207901765,37.76723404139811,38.498643571084564,39.62718165188805,43.398092286652556,44.14673836276197,46.08997428284887,45.70686862830067,43.73073297843834,42.9669569148466,43.94463659482979,41.43007880361205,39.723082830736715,43.380228491087856,39.27779804787101,43.70141301640929,41.462821584143114,37.02755032300859,38.16863215866958,37.668938695147986,34.14569556289751,32.583383818778486,33.939373721334206,34.90664065716769,39.72731876436581,42.199356295425076,44.84813721013732,46.79825043900071,47.1145474557734,51.6020431071503,49.670918266238644,49.63485761071755,46.05746990406757,43.05547790181172,44.80894595933064,45.80433339769544,43.68016685985136,47.84287187855232,48.198454746475825,50.71346440150052,48.0596723718123,47.712475416208775,46.46573202480159,45.00060512065796,41.89035126013254,39.320662416284456,38.73369142600002,37.038289365030145,32.830500636846764,33.9593003622169,30.59772771870137,32.2651110969894,32.83165948797243,34.10755502854645,31.017084468095355,28.16547560082672,31.15263460410048,29.706530021912542,23.787849810493075,26.310575772305857,30.793860635785567,25.808409411286465,23.678972374663587,26.731109607246317,27.34580857589148,22.619023746375632,22.829153813796612,20.988767083794855,25.93357535574809,21.575405286212167,24.900215344655727,28.353939721275182,31.38192016470017,34.96431128086722,36.57446963947046,39.89463304347474,38.8658596721572,42.047992094729146,41.25025230192545,43.86185818720751,40.98805533555023,36.162469302039355,39.94261599689627,40.82167803164927,35.99639893846739,35.47571876957297,38.406724887249496,35.42029886280101,31.41370995580108,33.30619847496099,31.236002552082663,36.58637399585851,39.00051650943349,38.589477186719456,42.320131093131366,44.8808342055149,44.0373417235781,39.33286783368226,40.62309340666215,42.874851401045795,38.932374473208455,36.01491169656413,38.786855930652884,37.98791330095534,33.719769545829166,36.48794621543262,37.95404728636915,34.29962947028779,32.90314480295232,35.87656459888085,33.78242089597412,36.82808522913125,36.81707747281934,38.638557863761655,35.647519272812254,31.295059951618004,34.44652612837856,33.39798075202716,29.9684878051854,29.45053248868362,33.36481394729117,29.854818518640904,25.546395681272575,28.465175621936428,30.69058849329132,26.647738499711842,23.487341834451776,19.813091453883906,19.682803693092342,15.284850883540246,17.68651337598211,15.14003673344815,19.215271042078303,19.2220662604979,14.525263439395092,16.085065907405056,15.775963514940315,19.013916790647773,22.823560178341264,23.911740184644785,28.141678158772965,27.613955717096516,27.028716078633597,32.51964248111167,33.685765578220675,35.816039109447445,30.646549182932976,29.656135929635,33.05137643936946,31.427486851595717,27.298577787006415,31.17097421106881,34.37074547132991,36.56722306053176,38.75566739226702,41.387042651161536],[24.646549324757988,22.726696025477878,22.560745287094797,19.938195252710834,22.27403876632041,26.417563359843516,28.600390327887474,33.11438005302122,33.37683982294203,33.94738859240152,37.275319636464964,40.20320753123084,38.26238549905035,36.58415968542832,41.713534952310454,42.6038010042705,39.435913516235544,43.051209347726086,43.2022391467638,45.37100541233512,47.62194198574217,50.246168107028986,50.20353990269194,47.869951931300264,45.71284319602856,42.88024448300088,41.462968063354836,39.19829564645708,42.02116726810931,43.12774129266472,47.58055053184945,47.227354239398394,51.40624837946743,54.22361961468985,51.07223159285342,48.291452777967116,47.18183898616124,45.47733877388275,43.52555895398389,47.656371262353396,43.65379020137442,46.57150577659548,50.40334652438708,48.75539651899172,49.09145063759349,48.352657476635386,51.841575350116706,52.58316969333293,49.615490974294936,53.36704384991831,56.172459147915504,57.044504294899404,58.273924665641196,53.593532095625015,56.48083073008632,60.08932150951852,57.31994021485653,55.94600804134691,60.19246604324835,61.05954115391116,57.089705295375076,59.40508730940557,58.27491727794875,58.98246614563865,55.797999213401255,53.06615845749733,50.63866310230125,48.87379092718515,45.999881667177924,45.26094188947319,44.14555016069542,46.56267989661185,49.0684091787325,50.98756454074039,51.40521141095351,57.33049904034744,55.21913747480425,58.828279881771195,56.88349662261615,56.73246618373794,54.8285108661797,52.779867050095945,51.55227170361597,49.933909659769284,46.34731191239893,47.16803573108242,49.41393224955078,51.66508425205329,51.468020375665745,55.97412967957389,53.8708873821918,57.35443053303447,54.566316832724176,53.15246372760117,48.53730816086522,49.62669448325628,45.309552887111835,47.72856953562219,45.32924708827708,47.28495394386797,47.41130413722743,45.60761794103998,46.20926390347799,43.222867445952936,43.80555974479799,38.89355060921613,40.22430258808968,37.42810322264398,33.677881852571865,35.97893830001487,32.06675670931487,32.843071851488546,31.790201227125753,30.594753998255463,32.85882108946561,30.92150180641148,34.42563273528252,32.81092739327203,38.2146667883812,38.76755624057332,35.80861721673022,34.0992395583661,29.599558409953005,28.576656813582503,27.98360179438173,26.654159970554755,26.572826783690257,28.586241884877083,29.657586171919643,34.15392247227696,30.344882756494652,34.40588560944859,34.55113929515454,37.930777033019694,32.84846462733285,30.75069953276777,25.78319872456419,26.39589560528527,25.608789902733562,29.667981243989082,29.52465316935877,34.071800616191986,35.679497349809935,34.088647258867894,37.99739314412218,38.33671296330379,35.30293416698427,36.4819542752342,36.17434537535336,35.382778422317884,36.62935539554633,38.14307090206401,42.22289727342597,43.515917364552514,44.93814017154132,44.12216820987267,41.70747094131057,40.95038112281015,41.36258080099719,38.86153416409333,36.49213209189226,39.803138303160395,35.27477394153889,39.65487629746102,37.17680581567541,32.43641691251876,33.888820585688265,33.103065346537065,29.870902409820584,28.174564138241678,29.89985996452843,30.837129225839934,35.861886817077895,38.59906370789561,41.39086090101486,43.72203129208883,44.009654435028544,48.56571939271403,46.22349218101667,46.40030980361791,42.440663217524744,40.02089790512001,41.54282306611116,42.307774151377835,39.94380686390104,43.760396592171745,43.92554723348962,46.2617058884797,43.346879256040594,43.266265942369266,42.06310311843934,40.87925280893537,37.965191629881105,35.67031133194003,35.465856624749115,34.1656763111261,30.051094957442746,31.80443876423305,28.99099713589625,30.763814158210316,32.127942480770955,33.50028914513628,30.07971561008565,27.777003048932446,31.354948003796853,29.81942329605784,23.82941665106072,27.120990720732244,31.85878551195649,26.782094151029582,25.199194678886506,28.73303930414628,29.062405047831586,24.516761330519667,25.55005244428793,23.352727558209136,28.757832428680832,24.00079914052214,26.745920486860136,30.603548070963534,33.3967726956547,37.38728634545455,38.47502480564817,41.459258439906364,39.87673887261749,42.681089358395965,41.3778495199083,43.85181689648789,41.383661787809686,36.12781086293811,39.463233924436366,40.46951753536157,35.68735264083603,34.65176791675595,37.16469017227633,34.534992528909314,30.630810471066415,31.486703070018407,30.169009498712175,35.12456350718958,37.94912162361141,38.16624907239559,41.76150906156535,44.823005431457496,43.529813344121614,38.8275167103477,40.90954050207698,42.99259918194986,38.702641357539406,36.33094150234663,39.543080863010104,38.730776242579225,34.589610757879235,37.82154058258788,39.50142541768143,35.86281538702948,34.80592962138526,37.96628177920159,35.65972810815786,38.339633624675585,37.69557831007805,39.62946836980125,37.27412375480916,32.45031669745552,35.11074011600961,34.60096987446255,31.330284894509564,29.888019161708648,34.01769341273904,31.16280844403962,26.36257070430116,28.46039824474065,31.27514746495009,27.72576067699877,24.17294362006367,20.512508561918644,20.8699496418378,16.738961581937318,20.097606414402364,16.89707711768377,20.363459338821684,20.097275443293228,15.365348444854812,16.06688009133706,15.565477985883573,17.99522064500174,22.30138233793684,22.580770183904573,26.525055865283516,25.651528864226762,26.11105192701845,31.66825550444987,33.45681490532256,35.151797801613036,29.78572469764732,29.77025654415499,33.15651903263009,30.667730867539348,27.383814856491167,31.838630557502675,34.54758157589126,36.40997645747353,38.16776823161689,40.86183449472234],[24.594688226020075,23.364339157844782,24.334110452339402,20.919875256714104,24.46224157061529,27.292426704280974,29.48911482712906,33.97128660786285,33.3679544605991,33.936897449989395,36.879093578845065,40.094977783890016,38.62791792249445,36.2609868332282,41.42136192473503,42.81134550633129,39.84562984761646,43.35372808525651,43.43259220422688,46.17520491678293,48.30825475915182,51.37004901821751,51.07399505599049,48.85775579051817,46.96191838616045,43.743849321286746,42.7183104006653,40.238071548140766,42.89969783689228,44.055401843652504,47.72674528572062,47.906563553069006,51.811131763053965,54.690809830802955,51.92733508532646,49.16473017264622,48.51960377017125,46.98526402506609,45.393586442568136,50.10587425405079,45.87092763686229,48.133294624864924,52.22549205730957,50.985665075174346,51.265137105006005,50.8309574953605,54.236309624180166,54.96326705749474,52.43725345005578,56.37278654047402,58.9605426055934,60.03914658364295,61.03079757108877,56.13109389383739,59.00477736543435,62.46619967869821,59.42112067391401,57.87617800088246,62.11453381002402,62.95345908348282,58.59888141564275,60.48877429269918,59.14927722614854,59.577483020206785,56.73892367220158,54.04886230160377,50.95991272283371,49.10442253278912,45.734873185874896,44.74145285421011,43.337767076332405,45.32072998449108,48.21799463919553,50.490201982892756,51.232411257564635,57.26867538955759,55.74963143801593,59.37385649282603,57.86568955061236,58.133139483408705,56.529527186492054,54.94000952752509,53.83802786312818,52.6659219200157,48.996395745116715,49.27776815824004,51.11875097822025,53.23692726469617,52.522120654289026,56.74157933878743,54.203795672826544,57.28111337039043,54.34806666893724,52.99577317556279,48.35767421105621,48.986012362332374,44.654459783463224,47.746038125946086,45.52523078721233,47.72154775591336,48.31268997593965,47.080156535711886,47.92344052974564,45.44267002691364,46.737660938880666,41.82206747542857,43.60725312563258,41.241934924196094,37.30527358791287,39.033639520830256,34.7416493255794,35.24324252838963,33.363906203071906,32.33442355392315,33.75443380894265,31.927199230308528,35.223362809710416,33.61393682428506,38.596196185687724,38.978672171198994,35.70828482307645,34.01853942650495,29.765012747460446,29.092445864551358,28.669768430934266,28.50231751767534,28.719796933422302,31.338930465664447,32.97735259601527,37.65186762561157,34.50947275439526,38.813920044196585,38.985405689864486,41.89839908583431,36.787605347018975,34.081279972767064,29.651696342370848,29.437434245887676,27.978704844215482,31.897744410130027,31.301792467366578,35.91502838674563,37.11978050550602,35.78793370264086,39.90256175396674,39.93298691915244,36.90692754187198,37.94443668602401,37.94706115310622,36.63105313495999,38.244418354899516,39.01686203871286,43.40327620421973,43.9819649277729,45.312278873215995,44.9692964003232,42.57613290237218,42.45816546146283,42.732653959854794,41.04551730504817,38.96728772096762,41.85821541824355,37.649495027625065,42.20305716528835,40.34371901774846,35.70541154262428,37.79281987246131,37.287070945491756,34.32590499746814,32.06138279236884,33.80504556659516,34.08482538363715,39.109888509695935,41.627657605514784,44.06717961194973,46.30001466548724,45.963443005435366,50.90423970756132,48.83507657348537,49.35227791535435,45.68162545987386,43.249930918491685,45.39291453007615,46.42780005758874,43.816545020804554,47.25424444120644,46.90810974394637,49.51576401952407,46.69991186417421,47.12180403221737,46.28529890233318,45.06910198391478,42.540957188126775,40.32379290011929,40.32309620814737,39.34078595780946,35.01106124978838,36.775400144769165,33.87312829681036,35.021980703561255,36.598737513845975,37.34447717791283,33.75090590166632,31.93522219186384,35.24769938397922,33.021372703583495,27.33501058424828,30.786436980084417,34.887905476312724,29.243552928516724,27.904977644784317,31.253670972506466,30.841311376956074,26.120368676131584,27.539165933202877,26.064583926776187,31.41569484474407,27.909025648826,30.643260850799717,34.263890012127064,37.66683702633217,41.21226382183999,42.9765669907763,45.89072269530315,44.47374193898656,47.359881144220616,45.938504393541145,48.82509815982023,46.4490822972668,41.084122350034164,44.513765871316174,45.92329259397258,41.15943974900685,39.99731397264535,42.71121101799677,40.37909231688071,36.32016515790233,37.00222074135596,35.300351562236095,39.89664478014271,42.772084145658546,42.64096079497959,45.957234625895964,48.779069885276165,47.199081904695866,42.68965126747079,44.51836974984236,46.17382303896764,41.798056266651265,39.54998650961095,42.297052608802645,41.059477700437185,37.07931209744017,40.58091233156492,41.72928645328145,37.63248570083488,37.14073828059637,40.53321130188141,38.69169763757523,41.751747186666506,41.36498162658887,43.71570481624021,41.131743065957,36.27123270733703,39.48442204806119,39.11880820354891,35.67040701763813,34.60163637195003,39.10486054320756,36.17223939507361,31.34204133148791,33.84432219251368,36.829572560315206,33.15953366781183,29.634435975620967,25.629720029759337,26.32822924315623,21.881792834886824,24.447978828751573,20.86020215118201,24.17397724655541,22.88047312542611,18.545356644566787,20.171455558051317,20.602898020412358,23.088971095364307,27.031148039791944,26.56261567756418,30.661096432301623,28.92767029489155,28.953968512652537,34.41357154895088,35.96787750124579,37.17526566422764,31.85332253477304,31.687614819062645,34.4487048816275,31.80382833671146,28.31293737029051,32.281761817373045,34.890764937450996,36.52780860427944,38.37346291298975,40.77753893640229],[28.574041202410562,27.395173111103453,28.307463367587275,24.84772049617525,28.147203626001932,31.140287729001166,33.150796880966475,37.68029367259283,36.956923136528275,37.253488882579965,40.14172906811645,43.51826825050138,41.83520403132797,39.284679223538745,44.40334621553292,45.83487444469456,42.65986396116637,45.94018087266597,45.62074848988643,48.46647116557143,50.32154422329999,53.31930499959559,52.77688849470218,50.37432740976405,48.74268160793294,45.65135762181441,44.90447984186004,42.67560349997802,45.56668613789599,47.00042807183919,50.562761483078866,51.020991014662975,54.935798800249785,57.627392180269965,54.850107602488826,51.90517469743565,51.461246558260335,49.56593101539784,47.874071215666554,52.476703624942765,47.99556742429095,50.26229488794933,54.30440013931624,52.994228335721544,52.99752772907801,52.405354697690036,55.74873185794044,56.75063994696871,54.21856837121832,58.05153825302839,60.8209690031912,62.03717021965079,63.11100464748816,58.20594509545915,61.3280356733004,64.6397958803539,61.46255932797927,60.143512819168194,64.40783550914993,64.9889850408544,60.636365947353625,62.6168278412745,61.456349559273676,61.59441948898563,58.70627477885287,56.24896213732869,53.04976956481483,51.45453459853423,47.91353591319798,47.16998149939067,45.57706329079474,47.392157465074504,50.490220505701444,52.59543307901117,53.6485080595235,59.62661555703318,58.155664287746674,61.9366504136447,60.4398232129408,60.611747088617015,59.222444740305384,57.5316013890965,56.69805622597433,55.406573618590166,51.59915623908796,52.01646696057304,53.68274366346819,56.0621211768827,55.11994951741597,59.51536687584419,56.87729885755522,59.8796849797327,57.078167242860545,55.915243287810114,51.33803205480935,51.97362664462773,47.689524090064644,50.973605704755066,48.90184881659418,51.314825975130006,51.71109528406656,50.65407726150277,51.267081631654825,48.91612499168221,50.02554373714722,45.20905945436034,47.03539974211354,44.533525461486846,40.72513637916195,42.57455562939854,38.34043391404101,38.63877305162021,36.83259681185871,35.51690938329357,36.797263591826805,34.70162512598829,37.798796919716544,35.802153066318716,40.616988518400056,41.37989965395077,38.09456936484802,36.68687144255822,32.340616780269656,32.00650445634268,31.926600577694764,31.688441203158344,32.31588600755091,34.66162690175808,36.29387561725487,40.83943544014641,37.54900946679118,41.830915992257104,41.73510732743946,44.85237035325184,39.56355031906281,36.972803210511024,32.476834214811916,32.12153483433004,30.480344436223266,34.34948427607361,33.21345744035689,37.626967029559935,39.14181947878958,38.09172844333391,42.24799639048788,42.57178713308657,39.64926805399072,40.984520454163764,41.19303618642075,40.07561987871271,41.868637104393954,42.72863933024099,47.19434893041889,47.84698424474864,49.051911145392005,48.6324764504554,46.10602364730604,46.021386218873175,46.076078986439825,44.40232872283892,42.01833253869276,44.714441323311014,40.24728025577635,44.73057085796543,42.63287469725949,37.745921029396015,39.93809200882106,39.05392839607054,36.300708154015155,34.16799119317592,36.18268757698711,36.58264996786189,41.707369398451355,44.40854409191725,46.95622806727199,49.389467935864246,49.06350767496899,54.01148040686761,51.71445564562573,52.3135941430492,48.39988016276031,46.29536951531302,48.18330988041093,49.00293570602085,46.33083026728884,49.5949816199831,49.18870824833043,51.578586947149375,48.48229467840917,49.03489405426874,48.09934163668948,47.16670914262626,44.65621291981229,42.62506260298419,42.759220654868166,41.80795378609266,37.670915950302195,39.63885267896028,36.918196017807986,38.33815194601886,39.94322427332265,40.91532499528394,37.33076307053252,35.41098474300809,38.830670754055184,36.79113203997177,31.00965840398322,34.397911753877935,38.673873084475744,33.13338942605529,31.689279058317315,35.019199603218986,34.77130654812072,30.030410641251407,31.236581126388565,29.67802660862239,34.93944693941381,31.04282665340791,33.98890102376445,37.61733894128107,40.79077141747136,44.43000737834127,46.00213495757814,49.0806392587019,47.697143790440265,50.6016090370627,49.27691696049451,51.948081088524305,49.47846901076497,44.211436870860545,47.59070531696232,48.723055137367716,43.93981697234831,42.86966760979548,45.38804938169578,42.81803546119619,38.92099593067837,39.619444502610534,38.29102739181003,43.011733699084765,45.92571511135968,46.005885767994066,49.423592165651314,52.35961782369901,50.833913949464595,46.26687929327749,48.20633585576832,49.96736173390263,45.58594709568972,43.33110903038756,46.174788475954735,45.00405219140541,40.99028198096901,44.417218448460744,45.64113706070677,41.59355390231145,40.978443966659206,44.298434643830895,42.3775898674453,45.39594457649171,45.00288881684551,47.19168999148569,44.587668978446054,39.81112737747416,42.861964921449,42.335699839007155,38.93840384211204,37.816930604987185,42.06423473967323,39.005666167408066,34.31659455039852,36.66060100616389,39.36615435636347,35.62926449198005,32.20876615610379,28.487360189627502,28.620872838482782,24.37218151650705,27.257947808053014,24.10845041444213,27.650394911953416,26.678079555381938,22.196566703722528,23.601405766280212,23.60560002720662,26.092669206977725,30.251972447080725,29.999618737707916,33.99989424491677,32.40358035989143,32.7068005584822,38.19024935986974,39.84831114622251,41.05560175500263,35.705436688529836,35.65450927193801,38.44986722576265,35.70535786879058,32.32311168066244,36.30922258492825,38.88065819259351,40.45824091414181,42.234360920788404,44.59579966836883],[31.40545908567537,29.846404376424015,30.13729483037194,26.18416131179153,28.712384347387555,32.05702492459576,33.4760955250361,38.094743866749404,37.24811978983494,36.91636398753289,39.79633523234047,43.40802614121312,41.15286562213774,38.45898506191529,43.46481648380889,44.82326212026604,41.27077347324572,44.19933960621776,43.34390427323131,46.21354679985964,47.72318161150259,50.5795733953853,49.788390922713006,47.18874602163749,45.826405842075495,42.931255139254716,42.49557850425075,40.635425676804374,43.85271651915133,45.71315275849327,49.22214529964959,50.04649530577845,54.02064524757283,56.351246398123564,53.49128896821734,50.2651273792814,50.09821307409702,47.64396724136094,45.81597087773638,50.26483448239868,45.48509193506838,47.72949837360786,51.68335932906636,50.31584925633115,50.01235644449778,49.29403187933127,52.551095592520895,53.81868578911122,51.35823266565874,55.087176659815796,57.989520173046394,59.38779085848043,60.51571085562708,55.60038832668516,59.013889211915384,62.10858417298825,58.767740756627575,57.72864357991447,62.01105775664864,62.273272831568136,57.94372204312162,60.05739334756352,59.155315146394535,58.97067837400043,55.98335371336443,53.81605104789769,50.59436043796798,49.3640303707607,45.7293781741208,45.408417268651746,43.65302746620263,45.400951940769446,48.60792149371119,50.364496745124995,51.73922479235618,57.588181206748025,56.05490343092301,60.04251231748017,58.497085799008694,58.49121391200943,57.403712371611874,55.575526358258465,55.16594487699075,53.739103347442835,49.73901615473419,50.31159069558521,51.703430270212124,54.46897258815157,53.22607838021414,57.909352641769885,55.20967971941071,58.18989440518038,55.64394437045543,54.78025532681802,50.33163137993963,51.14174790026528,46.964935117663714,50.37463264044608,48.5711156017941,51.42673754026135,51.26090178579654,50.559854311878816,50.63773767997895,48.61986847233051,49.432697240506656,44.88618341285877,46.970831733401425,44.36999804839845,40.85471857051111,42.730550488284756,38.582851333320825,38.297090351657694,36.609180379444155,34.72492737724332,35.7731181429973,33.248700319627275,36.028706835337914,33.52185617810019,38.13676208152381,39.42371588964027,36.21104532642644,35.22543813459335,30.732860654938577,30.873613550354676,31.385702525187796,30.976082228265213,32.529371849326,34.296138541587325,36.06593757491338,40.31922227792135,37.10001594533939,41.43436981803301,40.80620533549195,44.01177519354697,38.452816718004584,35.882137014044886,31.557440047180535,30.710344493565024,28.721735622363912,32.42876278858986,30.59554292927769,34.726593338463715,36.57448751169518,35.88987828426056,40.05748963767161,40.7893453902735,38.054438873246866,39.867123876198754,40.45139516347344,39.77058389895577,41.969620082975425,43.113352592945574,47.763022652943484,48.825097822274074,49.60661739533529,48.850297046660714,45.9924954936761,45.93089100263844,45.49468344426295,43.87975894277466,40.955571358273204,43.25389342750339,38.46134233904435,42.81025462419007,40.51350953740732,35.404723849531635,37.88076173269704,36.67500487993874,34.32741869631097,32.155032051578594,34.49615521125458,34.854883683356654,40.05013071580193,42.953692515350156,45.58821985375101,48.337035142050446,47.979141603808785,52.928687053043156,50.28027987945094,51.07108133562835,46.85365534148792,45.32924065226897,46.954415882678965,47.529274640094016,44.68887809491955,47.553803942898014,46.956140292147566,49.10983930507732,45.75122283258916,46.58727694312989,45.68797728210072,45.087967553309156,42.80468838026456,41.091949472481836,41.562203518783306,40.94261464542492,37.0261686048969,39.436312166780574,37.19599689177041,38.71572538326063,40.81616071212432,41.89315120205961,38.161912709234414,36.598604325020005,40.35209228313999,38.34385360852771,32.60053742252279,36.35557019789348,40.79109531304309,35.30368060852928,34.156512826141835,37.734051955858874,37.39664208858619,32.80861994128017,34.39059175756829,32.584293100441116,38.06126683632982,33.81119439637734,36.46949815216824,40.31677417750442,43.26584777274872,47.17575266496229,48.355948198339135,51.25154878020132,49.532700290236555,52.179289843047464,50.564312561783645,53.06259516037303,50.85440144006621,45.39081640144277,48.429368296691194,49.559738758553806,44.857948776870465,43.495910602001025,45.6472185156213,43.29388192865463,39.57487426760468,39.586488943022545,38.87494711775239,43.2758102220157,46.428611864940265,46.977387737549506,50.293861818670415,53.56687737648066,51.771308168706334,47.2394063638806,49.70798614191817,51.376901835364286,46.80979617600205,44.930224249623244,48.064111202435704,46.92263642550817,43.01254266618323,46.67572429984735,48.064822055969195,44.0827026769366,43.62576695679922,47.01776342059667,44.93715696967084,47.69124236274722,46.89680062480213,49.090742245619495,46.89966013770283,41.890958339856695,44.56319633423951,44.32962854671618,41.07109259748057,39.393869209201654,43.65377121531281,40.990789891759775,36.10307230566215,37.88814047686524,40.83985690722172,37.42716756446121,33.85739097185956,30.284845162881666,30.54629160813307,26.557836472861787,29.955272016006653,26.630972358845217,29.866219327923705,28.873535505706187,24.445763847181382,25.314622190902973,25.12114870748207,27.073119342149695,31.419886461649384,30.74050427153189,34.41292354392755,32.65232969987016,33.69560312373092,39.11032279987535,41.17558517913705,42.08166142440355,36.68719912706446,37.29752979100485,40.066325361396615,36.76952326265362,34.03779428739704,38.35104360485506,40.55962005560662,41.879011310135176,43.30985744763023,45.675689627004424],[32.7887178354264,31.548610633799086,32.290302980506944,27.945904346548954,30.897258823190455,33.528186233023504,34.80688008814546,39.339207082136916,37.95621843441163,37.48587624208532,40.059657933150845,43.85541488858933,41.810253127947725,38.67911337966381,43.594273787545156,45.250324428456366,41.7991093720743,44.53423197763638,43.52069246642143,46.752589739957926,48.08962771549912,51.189252224470586,50.1790591891923,47.651970479199825,46.5426097722962,43.45919216470078,43.359928166446736,41.455377495791296,44.58487258364363,46.54203304576085,49.478800085423366,50.73021283053824,54.497231864153335,56.768797532262816,54.175495334440946,50.93309399376466,51.13050750253099,48.704353189477445,47.10886304376898,51.864840125472554,46.93293004614758,48.70924993020887,52.781730609446875,51.690048017138906,51.2999739179686,50.774642474941665,53.92900192102539,55.219311348291285,53.089222146182294,56.89559232295448,59.65057829966072,61.20702462062005,62.1767173612391,57.14921686973629,60.58020750011424,63.514389730180454,59.98188804911666,58.88767762550083,63.135659550657486,63.3163061925231,58.76073813300162,60.591157435988016,59.60544153308156,59.15782436073577,56.41736807088043,54.35815833885424,50.70443610359284,49.506324750708046,45.54645985334696,45.15213325455424,43.174799791788665,44.565249922513786,48.046394429535965,49.949113704213886,51.61699947956876,57.45947807341769,56.33615621999279,60.347322138992055,59.100888594996974,59.34219354717376,58.52288184221175,56.98591097388706,56.738405719572604,55.58461256162211,51.53226784458204,51.778487897711905,52.84198110505716,55.570023746198274,53.933448291570166,58.444262778113625,55.4588492461643,58.129062564698195,55.56445761392468,54.82191264666504,50.43337357632964,50.96260350945518,46.852013567338325,50.703035937413034,49.09823343506185,52.17670296526544,52.18842472431415,51.92675604724937,52.04972584023383,50.424415333575325,51.61492933492709,47.14183519006994,49.5226805003608,47.17274139850955,43.61178790386794,45.15353698654221,40.838719119412914,40.30527434060716,38.177973340721984,36.32325266115924,36.78979621689856,34.30287006980683,36.824434731411614,34.27229933480491,38.45774910701884,39.721115664977084,36.37197673294735,35.52110448390951,31.273275721283962,31.742103189081185,32.469830279832465,32.726325372262124,34.56777843745534,36.55534507795385,38.639957555673135,42.91618294134263,40.111589612405844,44.565378639513284,43.895613482852674,46.81440438455615,41.249462993623695,38.35391088344691,34.41185571366196,33.059090527419634,30.67819771055778,34.188350641688515,32.006187047162065,36.03478922699806,37.63217666410596,37.196295537042005,41.428234338557,42.021075030994645,39.36792480025756,41.15128563288084,41.988662463464635,41.08021057482356,43.54872265726583,44.288141787571895,49.11077083062142,49.8105418645667,50.43392542169349,49.908669571979715,47.02584098736607,47.3643374302955,46.75129345048743,45.666080232975276,42.858832521209386,44.802878785843234,40.22154079672149,44.60031841308064,42.69591407770593,37.69836611763154,40.56220860925233,39.51989596846854,37.40176314046213,34.917541119826154,37.259328725714816,37.214887455042856,42.348417672192085,45.112994870608524,47.51646298825277,50.23179328338149,49.480648455731114,54.63302695974149,52.11553731029362,53.14673650310779,49.09453808630273,47.661529797844324,49.61554880048741,50.32094132972421,47.32727534422261,49.8778054949581,48.93156019251572,51.20674465975995,47.910323909789916,49.09896383770996,48.452316749077106,47.87266552085655,45.8734489759911,44.250551437142,44.871479014760254,44.47662707887871,40.47110579444366,42.92047593483848,40.68622843204461,41.86908291136902,44.147075026445535,44.89044384137538,41.05868815217278,39.81130196660544,43.46420327788512,41.098608182105025,35.55035140798935,39.42694452683037,43.53748549530346,37.7976300697778,36.83669925236145,40.33966612490923,39.59968988602261,35.007750287660905,36.838525199371446,35.35988599228515,40.817916035287894,37.15858400860917,39.751927075498045,43.51266068204287,46.7541315255083,50.471414867110305,51.96043101762014,54.77960672950978,53.09064525727987,55.74049608398458,54.00484974193825,56.72025842848221,54.609280047323935,49.041015780723995,52.08523834970546,53.45922497422145,48.77227909767678,47.29126509828493,49.51854385292076,47.373442007184,43.5716758064017,43.404273871603635,42.53786629163419,46.69186504999951,49.9027303039473,50.318473722175405,53.45429682977678,56.639295494274975,54.632839679338666,50.23007862597833,52.6376376412324,54.03978910087718,49.40811524322541,47.671328916394835,50.584038892348396,49.213336201447056,45.43658589596403,49.274523620159265,50.39103963090892,46.19172093943802,46.081168791017056,49.59883450983478,47.75172528946119,50.65901711584963,49.935826866224836,52.36464352118448,50.12238216877046,45.05418095547771,47.965470685707686,47.86493505611201,44.52866464586313,42.96092101501884,47.44429088701949,44.80194122957255,39.843175245828476,41.77622621894844,44.88355630572415,41.4461810091779,37.84150167818248,34.07659833518967,34.57098745469064,30.419927203973938,33.51808662549429,29.959914506072195,33.068046502454834,31.593194927084806,27.39795536922543,28.5956095619794,28.805721408913247,30.744042866706888,34.93157044841761,33.83026996183247,37.52387676886678,35.30204536790738,36.209560474181174,41.509795204010224,43.49856988855045,44.070040753417906,38.75017602890097,39.38971493471614,41.77531883416102,38.32785186841099,35.65737885252408,39.69367242108926,41.73149672820652,42.83962460936593,44.224747037910774,46.38114242479252],[37.398534626905835,36.03757516160512,36.5069455017798,31.947824246758408,34.433938909579865,37.18651193442528,38.04766679920733,42.56670959019155,41.01228827784123,40.05219906714794,42.49875740890808,46.47735828664068,44.057763229118734,40.735540152206,45.453894846511304,47.11266999952426,43.3997915496766,45.70840762374249,44.117658285084445,47.441055870286945,48.337376462227525,51.314647935831665,49.95933582271447,47.24431837733284,46.54778724268604,43.68270347353417,44.017472765423136,42.513439217984796,45.89511182238864,48.24800309717008,50.94711923173967,52.63198977541872,56.360082667555034,58.27440633162487,55.69961497023343,52.22109671091692,52.76257167013049,49.836463496817494,48.1713286967788,52.765168036239245,47.548723494022894,49.18711145074969,53.14225850370655,52.046997021367886,51.28780163999998,50.63834063090184,53.638508152923876,55.25010110717953,53.2633675807578,56.914947799513286,59.797280709734466,61.568467831279264,62.57365675127442,57.56478459720143,61.285475982369434,63.937027728312806,60.21842725579183,59.429571448478804,63.6546523239868,63.46526847188274,58.920808299392085,60.81117771715259,60.088091716445746,59.21164015687026,56.460260896317635,54.771984227356505,50.99693226389373,50.20888745747494,46.086568695932925,46.10015266709583,43.90220634523279,45.05143784809874,48.71868466815169,50.2989903747284,52.39085028408927,58.04336822467549,57.00460224843364,61.199647891895886,60.0000896715404,60.1225310469491,59.67348744053027,58.067806914403945,58.260204720116796,57.02349930692753,52.81705749002974,53.16562284389608,53.88844659969276,56.95965292856815,54.95442362309973,59.660073852536044,56.55714797309514,59.08163577760965,56.777294997871614,56.357197679477586,52.14475158004867,52.72818229555309,48.77544301063859,52.828644752070794,51.51255184505704,54.96002712502431,54.57454003204222,54.68121950931121,54.38503848613618,53.097047107188615,54.07444021185233,49.86256978041478,52.428830693858664,50.01836619185467,46.70570631928929,48.25624653652636,44.03709863877404,43.06935610533296,41.01181073382542,38.74882034154165,38.91301654815285,36.10822865882601,38.22355343731943,35.20545884340836,38.965879798984375,40.74544342495573,37.48835113499921,37.098935952101954,32.883614934634316,33.844857999719146,35.08275432845952,35.30172974754961,37.81249119840227,39.3700959311471,41.53430049306775,45.534269151074135,42.80140464903844,47.231773931560056,46.14116606935571,49.12284717605442,43.3975979745172,40.56844168143964,36.834011722915406,35.09699656407953,32.43440927379127,35.68096113474773,32.784718778087715,36.3717686024743,38.261896508195925,38.274062295596465,42.45167242796369,43.414901935678515,40.997785003569035,43.17572140288258,44.36008230395034,43.77383131559721,46.55809985410801,47.42920681796923,52.36581116349275,53.270996008587716,53.570939012663764,52.85718150103776,49.74720202468643,50.172039674355,49.14993803717178,48.203567356042775,44.99528741567655,46.514406651420835,41.725053419581656,45.9100833561609,43.86789794314828,38.73267641668501,41.83590583541466,40.45614873270227,38.78425981617726,36.348502001402046,38.956334402010015,38.87681316189217,43.98663182894682,46.89344716723826,49.32712618406397,52.29087511859403,51.46697624054026,56.601850085960116,53.806112411053725,55.02646609296722,50.74605757744026,49.85468256865482,51.56018207984152,52.02628037490994,48.9132437966114,51.035795248502026,49.88393745985829,51.88582906764802,48.329520690742335,49.82181779044368,49.20916258269504,48.998992312108655,47.23232862748594,45.935076505775996,46.83404125469185,46.686850597959484,42.94046756576958,45.69350744518023,43.82197015156217,45.11898079178162,47.66800813830262,48.518050181694036,44.63245648592201,43.56541132378774,47.394850890267044,45.09688442910031,39.58379639961099,43.59675800687685,47.80796199361377,42.13218129623925,41.28569914846819,44.88197811277263,44.1319778410298,39.6137232380213,41.54561302644932,39.95079503435745,45.46698924449831,41.54781368839856,44.07996111445193,47.9324370895052,50.995190297993304,54.85883962905456,56.100863579371655,58.88003772378474,57.03966440911008,59.555236337194714,57.6988517330464,60.24192422654834,58.251152632673126,52.63495271361901,55.46059588562211,56.73336013445967,52.111443801504045,50.51181645125611,52.445814904742,50.357056469852,46.743517751200415,46.199668720213346,45.8108599200848,49.78077469767062,53.12056836500122,53.86135800242888,56.94738750398997,60.342007945556645,58.19304654483224,53.822435876011326,56.54133716975387,57.903608354265444,53.183524682991255,51.66391564417937,54.73110717508422,53.382285546240695,49.67194701556562,53.60538237062304,54.80545177241003,50.64594049283646,50.5980680442375,54.12994825045078,52.19608252929924,54.96468985099984,54.044312167547524,56.425433567873824,54.38520300487078,49.24321913802173,51.91199363138486,51.905993165785986,48.66275823836467,46.81753741544251,51.20152754872552,48.71791659341885,43.738632121793856,45.33639323001901,48.44378535040766,45.159762454581234,41.5470812033119,37.97455798062251,38.3240931286868,34.38662951496309,37.780529531784616,34.30621316009288,37.3438505332633,35.9512374265229,31.763525983046648,32.67757927967743,32.67834981941513,34.35399526202078,38.646436356712464,37.39856555330999,40.8454078682834,38.574471596180764,39.93819491314167,45.151107762445335,47.369095070434916,47.74089016051026,42.441677609389956,43.4562181322634,45.785952387598265,42.029676110515126,39.759873170710776,43.90516484575155,45.71095714905892,46.62520075295808,47.77655119622477,49.866562784493944],[34.059701140092294,32.86628579037869,33.62097441981868,28.747124066386213,31.611160492149235,33.66275024745978,34.469689204186864,38.87141254262023,36.96402925163799,36.067257655396425,38.31972813718928,42.33184432830275,40.24023608477577,36.704182453564975,41.41766243337461,43.28581014806544,39.82786723185328,42.22676061417471,40.92258897408786,44.461769483568695,45.546907480631006,48.825387887688755,47.57988233964049,45.126640336411036,44.298999171769765,41.09371773652081,41.385234927153704,39.55412789304948,42.6554744253416,44.826174876057884,47.18758014176492,48.952035438024176,52.52098302101017,54.58272898478779,52.22238498015866,48.89865408499365,49.53244928406126,46.98373097837215,45.6028758377385,50.59575153834355,45.49540742912433,46.76594016511583,50.907186709702415,50.10189335224124,49.59190675889851,49.27868252467977,52.29478135674537,53.60568241184605,51.86779778694343,55.72654926361894,58.29901112363228,60.03971188260139,60.835232185005715,55.71905628888376,59.18879479920033,61.898129572387134,58.163215866454884,57.06628694100171,61.2566474279101,61.301490856883845,56.54970269776033,58.12221512598567,57.11861448272375,56.36787773325217,53.85135809624297,51.962242879885196,47.93507785870158,46.86823631446315,42.63240612395641,42.309646700160904,40.110604253754474,41.173646600486556,44.88155587120342,46.786083575313604,48.78271116557891,54.54276053496833,53.76721354540652,57.83228450981492,56.85179028337862,57.27757187212594,56.8042091030238,55.53448118898678,55.57223642688774,54.67750381202239,50.55268397573445,50.49660854768159,51.14425516985856,53.92324974811923,51.832388710481965,56.238168558255666,52.99659454026278,55.372208127637066,52.897355094039355,52.37619536095661,48.12809303210253,48.48895373470869,44.52207728304741,48.76515595812185,47.473076485724214,50.928883479276486,50.83938261908858,51.154380779502446,51.087878230679905,50.009420674084986,51.45994031537668,47.22362223755214,50.00693201054287,47.92612638149714,44.48282756308279,45.647311782253766,41.25736851062986,40.21681279331313,37.736760468217845,35.70831786394129,35.50260096914489,32.94416626633595,35.05515201294466,32.360478883067955,36.00990576657868,37.37418955346677,33.97670330880716,33.41332289292859,29.435933752100535,30.38579487110277,31.549110006295056,32.38054234679452,34.87088914647229,36.78890238865563,39.23101289615839,43.34943850294065,41.0923768329842,45.65009285286628,44.75652996936372,47.32003110982298,41.73476923652901,38.517297051346794,35.146354740206135,33.09314192000063,30.242628312600864,33.40926803547447,30.749576845709022,34.5456508461686,35.90264017672737,35.809379423531844,40.042243878386564,40.593185292830356,38.12132146045934,40.011420070991164,41.23091302031643,40.298856701175694,43.17636610095059,43.660557235089485,48.676744981759505,49.25914305567995,49.50190420079792,49.017529213328565,45.98517045109955,46.709224592553944,45.71714583879008,45.19398319023939,42.341526728820554,43.75723040943031,39.366629118779606,43.67956307432883,42.19023493401044,37.35932819436893,40.692361374097324,39.83508835164707,38.096653598882014,35.2482097511438,37.61456511765501,37.08698540574315,42.085773332607275,44.713444661515894,46.86298187565775,49.617000610758,48.45894385357056,53.766354243392726,51.294167313264296,52.63296016026865,48.7135450934522,47.576676074921345,49.802031760825486,50.59192199853039,47.4022149766692,49.468886992201824,48.096375054978765,50.45224117524962,47.23983332040305,48.87036966706669,48.558250380576155,48.04328939565181,46.4693327068251,45.04116734305916,45.9331052471598,45.9384848662527,41.92419100171296,44.547770552849485,42.54404910909962,43.3342459176567,46.03956993536041,46.425923535122074,42.45378363763011,41.77769623503442,45.45065616007868,42.72530596066662,37.502612007912546,41.67974413835662,45.47030781194578,39.57200405911096,39.01989324615573,42.568405427758826,41.35603134394826,36.94255938992778,39.28022396350566,37.98762716033109,43.52966766280029,40.3679646049473,42.61818380568813,46.39749935931539,49.84158630597638,53.485911304517664,55.09349756061624,57.6390197462745,55.76414057432528,58.23451652249492,56.17211888045435,59.07197157541945,57.268364367739835,51.47278910445169,54.31874715856115,56.04632859724329,51.45931819886895,49.66024838226343,51.81897926824895,50.126360296053505,46.297787688960085,45.55864096677735,44.742779859498896,48.377885851251456,51.74115279877372,52.21351566114272,55.04540902892606,58.27954565883719,55.89531414597782,51.699394672049664,54.30789155501545,55.34253930403396,50.57799223179507,49.230925394184645,52.04989775751411,50.46972257987406,46.938351297077716,51.0788731186469,52.00757083678864,47.67454057445219,48.03484449771476,51.710096798225585,50.02401107783101,52.89820241742329,51.99804100846026,54.70133529373457,52.693931553406294,47.43309997338081,50.37727913715889,50.65127915810717,47.330779305610996,45.563755775730094,50.34053999240288,48.02833969737402,42.86035214605496,44.652976829995,48.15386665581744,44.934468875862876,41.18619231559476,37.25029445702011,38.25297407849003,34.055349212115836,37.03843405331927,33.05501539055695,35.73848714406082,33.73667162904845,29.92698684335598,31.14497528474039,31.744019141019745,33.33379803614909,37.33386436052827,35.52553981824836,39.02085182684532,36.245606288330144,37.35006458753476,42.40279888241341,44.50372568215566,44.561807628686296,39.37683149468171,40.405592326356924,42.36707998782289,38.51909418577311,36.33639070796984,40.2493819266276,41.87027182372697,42.61678474485516,43.73969019670916,45.69229098165748],[30.692036465915912,29.20068777809789,29.604039642367425,24.949884184621443,27.589323100672285,30.21185289681236,31.2159837497899,35.75136396125478,34.336624563396164,33.667630130564916,36.26991770868054,40.10168919806224,37.88736888787746,34.77760928276239,39.680941778725824,41.2809507074807,37.773687543473436,40.50609080381509,39.53039437030645,42.72763797965882,44.128990296610866,47.24949344999572,46.31852435854769,43.85603285443653,42.64535848606346,39.508051511343915,39.34781483499248,37.403951249410596,40.52950815767399,42.50956756756084,45.4863761593411,46.74071460806406,50.53291344974143,52.76179897006132,50.13916853402623,46.882411190190595,47.09039864266077,44.65629804604749,43.09020909941907,47.9148273113391,43.00585363772361,44.728018281326804,48.832634515917306,47.79571416488603,47.49273848909252,47.072636275161834,50.24786502761647,51.419242145125956,49.35811757102831,53.233846582414536,55.87636134440097,57.4205881408393,58.32562204125311,53.27429300459894,56.64004534871472,59.591588072658624,56.06791397297382,54.903440454631124,59.14991300779555,59.395741663049485,54.81495250561077,56.62228692258617,55.60113653515627,55.23435374475629,52.486526619665455,50.36201108133357,46.75329452901036,45.51232259447188,41.6156821981298,41.22974044339205,39.30726727555688,40.82098941812952,44.21023745243542,46.08574378372747,47.66726510636584,53.520588521077904,52.32870221426912,56.33015157185713,55.05704201803978,55.30345665227037,54.474707881051124,52.9739491079227,52.73873076025613,51.64322706174568,47.58813515795626,47.76436199859507,48.80271257158601,51.52020304516678,49.88184586485349,54.40392684639197,51.44747019268931,54.17258633515205,51.62485922824854,50.889975975975716,46.50983553541762,47.13031397393175,43.02908714290412,46.821997414332856,45.26047471993488,48.447844536585414,48.290636799495516,48.13273448750805,48.13079157803877,46.634332983845304,47.848238676221136,43.46525500643727,46.00559395692035,43.75137996388307,40.26432546281441,41.669411773073854,37.34952899566276,36.581160587740534,34.410574433892535,32.43458068023027,32.80481713808908,30.270798613743235,32.76726596429299,30.234958406553233,34.47035165579203,35.694645883548354,32.35985699117079,31.513650537688672,27.231822604927192,27.74802237116886,28.60174407875426,28.89801770781726,31.05068441377809,32.916598953629446,35.14031675247839,39.34175458946083,36.77795842082702,41.2945257114225,40.53360054259968,43.27817526433861,37.70727965645804,34.665721263547795,30.950805698967578,29.322032085220208,26.805533269326506,30.25591203631463,28.08973150955005,32.18180372696097,33.65567544961769,33.19362886812967,37.433334125858366,37.98383213164581,35.343402443161395,37.15983920994306,38.08227692595818,37.25250098583106,39.85832776396481,40.66599991372172,45.54993260856414,46.421933722800006,46.86636221713613,46.20826991437349,43.22568320633456,43.58727551014022,42.83866853454527,41.83343447642141,38.971283267232714,40.81013326788292,36.27479659464204,40.66396597253013,38.910901969956214,34.008638282687706,37.01641899496312,36.17351845702578,34.12235686217026,31.424256110116968,33.71850905797287,33.47037658230013,38.56454435499453,41.26987447960269,43.60322581516454,46.32880295264347,45.50488479116157,50.68272472520187,48.172382654606324,49.271966742293856,45.27438789207019,43.90138877692791,45.97503443881752,46.75275576890196,43.690055424408435,46.134384703929776,45.08701939824316,47.46187272635556,44.2832846505846,45.55633989742985,45.05882277513677,44.39329323810144,42.549159418432794,40.950184894034315,41.669300489590285,41.478921353179494,37.42283572175138,39.96173953292663,37.87313315819986,38.830286099864445,41.408959759428235,41.977415033747995,38.05245848715909,37.1714786281143,40.908768082491136,38.381067926663675,33.00967007723636,37.15160112406783,41.151011714951125,35.38393802601545,34.73199929615637,38.36617031513776,37.403746284014304,32.97870660200409,35.221371826925434,33.697430991565106,39.30467876211157,35.820366105894884,38.04136060636895,41.894083195623715,45.19675777325674,48.96348025454986,50.39930607798953,52.94814459686234,51.036912349607064,53.50341441040792,51.49851836476937,54.31288717926292,52.46127520182205,46.69814603595277,49.56737233013392,51.21051750754128,46.60714009879968,44.8597355896499,47.04231644917803,45.27232847439132,41.43396129488276,40.815628940127866,39.9777483000284,43.7760741216191,47.095715594780124,47.59650327871135,50.54776869471789,53.821028248400374,51.582383674241555,47.282172644437786,49.90946484205545,51.12881934702951,46.39620707310076,44.92912912021282,47.90619988657205,46.48226903170276,42.83690582515462,46.88216423219677,48.00914098934209,43.81718056048865,43.943944203686804,47.555844691555194,45.706396506643415,48.48012538131035,47.521770202690334,50.10460703364674,48.1410746654628,42.882242459904795,45.703503816257374,45.93508456674188,42.651196318470305,40.807136046627036,45.51828212108294,43.23562732612094,38.05850286349362,39.792412726021674,43.289790839066285,40.11238043334423,36.34510961982021,32.442117898113764,33.48500850137208,29.33750266387854,32.441649916773514,28.46010577102608,31.14688424918547,29.37298827604647,25.427679100444575,26.46254137152925,26.926117332318345,28.503229278674265,32.570626825872566,30.963606843531444,34.50399043412425,31.99995931133717,33.14235735920495,38.32710808111399,40.474141964803245,40.80859798324849,35.51824494683372,36.50275494520104,38.784036214164516,35.05271043487252,32.76109563502271,36.94655017626617,38.742026222885535,39.70342765071514,40.90923735470626,43.086159452789474],[35.73042652861376,33.93768626796391,33.756515969240766,29.07296983107502,30.825008361562695,33.999199366633356,34.50742525048639,39.05358232038114,37.72113257109443,36.463087873795104,39.06799264165302,43.031794010045516,40.178281130729026,37.075730956106334,41.757102859722025,43.175800122798364,39.238806756380455,41.499347463007,39.81399666733384,42.91619972041002,43.819732660542655,46.62533164613892,45.35766815523496,42.57296936263226,41.76422080887433,39.03632181620915,39.271204834773705,37.916662689701596,41.46115372196773,43.93726676733566,46.943143677194854,48.52998943457105,52.39654704953722,54.172456606141,51.40841003005409,47.83228249115704,48.29147999218617,45.1397740960779,43.327647713822216,47.747273135152426,42.51862901953291,44.34885899835708,48.2308088320999,47.01485642418882,46.253452261884064,45.54094557281945,48.57794575119537,50.18235895551073,48.1073008458277,51.73768380772298,54.65179987231048,56.3979662809395,57.45178090768237,52.47826570288048,56.24792412766186,58.91424897891322,55.243573570980715,54.53251838506662,58.77961641376709,58.568783414028495,54.13338164316232,56.20706287679373,55.59471833696939,54.80956022723502,51.88100357400706,50.19006302728683,46.68163384691624,45.98286667236192,42.06264713974562,42.288447995006266,40.20156072140873,41.62257383768663,45.09151571569897,46.43315645729717,48.41094451695472,54.02065975648813,52.677631251633926,56.921864133487034,55.52274945204992,55.4516262501284,54.963094127584135,53.18578957111576,53.461187552764244,52.08279263866245,47.840362345140235,48.358565884538905,49.12629960345484,52.34613291934031,50.44141165609449,55.34562528077618,52.40478237839712,55.13030596210748,52.9470702097701,52.57593176326379,48.39840244940482,49.267702899207094,45.34319793257856,49.137692324679534,47.85139251157232,51.40412886042331,50.59750757405673,50.6822301104166,50.074814991437016,48.81418826128349,49.50920832908247,45.45208835418829,48.073373443271564,45.596895535262846,42.49337657319575,44.09571726495628,40.021142679828394,38.7904456690645,36.982651677889905,34.416325699272484,34.707102826082156,31.69489698450455,33.770968628501336,30.585164868186244,34.50946176827236,36.48903163597159,33.364360537218516,33.08901850320048,28.697473779721445,29.72059322897128,31.170337161139432,31.014899265872454,33.94047639954987,35.0631948357021,37.20986121983482,40.99579386056159,38.30316012769062,42.708932957258746,41.37735421635131,44.370586718287186,38.58038299692197,35.82397956958783,32.193051539688234,30.298891170384195,27.600082166931028,30.78830023218085,27.77485922777987,31.31848770563218,33.387160220717284,33.41124989213346,37.54979282369952,38.71591113736772,36.35774038827001,38.75527803732448,40.01351848229635,39.77332691728328,42.65155073353512,43.873654156899605,48.80204604044369,50.15653215396287,50.25739281338582,49.20910640915932,45.93709773169005,46.179172920019504,44.970077518750394,43.84344591276888,40.349908976295104,41.80121421906304,36.835277713015685,40.939414340859145,38.74910806454207,33.56354898223407,36.700132781374435,35.27778488671722,33.731470309159164,31.27005447705598,33.95845355807722,33.89389865048425,38.998402242582436,41.99155407640287,44.50737094963124,47.60207692218819,46.91286085112034,51.945278978005426,48.966940202918884,50.187616410588554,45.770041114426355,45.10414545383079,46.637555127520116,47.00559346076894,43.85983152779208,45.89029989185965,44.7589371921557,46.68428137862953,43.098056797144345,44.596867564954174,43.99752810089858,43.8361458058144,42.15381340125978,40.96104306043646,41.991017654099345,42.02784277650789,38.39041636883508,41.335246109564416,39.760586389258144,41.05905860100583,43.906340217360345,44.80360249511314,40.87752284491678,40.07340476494919,44.088751844901196,41.862060660410954,36.45786181487764,40.691014958042516,44.98514597709614,39.46729963965229,38.8610952633161,42.63752293709541,41.88861975851764,37.5727559996076,39.78839042836913,37.95005282829468,43.61661144705843,39.48941852129607,41.66420180485044,45.666680717124876,48.5648995058788,52.61696990516018,53.558585739717586,56.092330010449544,53.96512240941157,56.24060204092718,54.142120016623174,56.598239808654164,54.86245177912821,49.104516970458256,51.66286126778655,53.035523348084986,48.52465385571262,46.67980140178287,48.412535781545195,46.61917232835023,43.094075707037035,42.04177626279699,41.95689345127845,45.62004372518617,49.078518881540575,50.09834911469523,53.07291947580452,56.67145832926055,54.362723809066374,50.04677210111453,53.12215124824849,54.431673288428826,49.63092513653315,48.38251702056139,51.67930683465063,50.417345230523516,46.79774409456644,50.85702204932652,52.24089652894388,48.23316750571732,48.247062384212455,51.796141839174965,49.71180197600403,52.21192534901622,50.95563676276872,53.338633704502115,51.677269019937015,46.37047908816512,48.72684772489505,49.0127417706349,45.90538342847825,43.63756231612328,48.077831087442966,46.00637315648671,40.85861781227419,42.04949752182038,45.45657172457752,42.511125522448204,38.76736571541932,35.24678378420679,35.9664423007222,32.2094418947532,35.837705328408035,32.12570712274029,34.782781138754956,33.395232855106855,29.357291913373256,29.836367728106666,29.79259541899592,31.007694405570682,35.27892222081204,33.711753286723294,36.87546475228799,34.574335117422045,36.42032532363035,41.52356639873915,44.01566191888472,44.26687340351035,38.98712885318547,40.453493672891966,42.86542152332625,38.82390895078971,37.039810244916296,41.49861633253718,43.081010758442815,43.903357848651176,44.82317762658151,47.0316139283666],[36.610795948818996,34.97901200087456,34.99606919416324,29.89670853926776,31.78213135074364,34.25050073291891,34.41662030053787,38.801424191097304,36.93733844780003,35.372177893111,37.62850834878117,41.771837299717006,39.0044687455086,35.48855698711684,39.975118893564215,41.645802753056635,37.7847151259989,39.750462611154845,37.849014260744944,41.30134883829253,41.994466683438084,45.03906163888161,43.55366756692427,40.88775642157417,40.34539889926203,37.43015995222831,38.04464906096904,36.688592655463424,40.130568137582365,42.74807800577324,45.12924113409712,47.20094066958872,50.83735034608106,52.46661914525323,49.97819065908939,46.37378958409499,47.25386586165927,44.09500911111266,42.55358540870651,47.27638366456738,41.927360641658254,43.19229902618245,47.17598095205742,46.29552673286943,45.467014255880876,45.022660367490765,47.923709679429756,49.49314388729068,47.84383383600543,51.55618484309227,54.236848712680676,56.147492466087705,56.99562539964866,51.92430559460136,55.6691951715885,58.13847929965956,54.275665928282066,53.49552135336951,57.67978178664289,57.389173972794325,52.721937184071486,54.47767828144899,53.78784814897981,52.72925819950871,50.070507504185834,48.50664033839796,44.57366348650231,43.944261076705715,39.72301866666843,39.942813663365826,37.63587382452409,38.70225043204264,42.412491519497365,43.83041943518643,46.115812723000914,51.66923866053757,50.72973202468838,54.993550603348886,53.901681801585454,54.0770911940025,53.9038590913183,52.45414145972618,52.943783812542364,51.88264627032225,47.606999528878305,47.75359016604556,48.12400462076792,51.31198460520513,48.969290393633784,53.694693569350605,50.47930605644564,52.88309139355621,50.74070195361897,50.54798789749018,46.49399370709065,47.137553187149905,43.345987404730934,47.54356320709872,46.53561820433232,50.390427876408374,49.61299777813737,50.23522391711511,49.557760308221845,48.806007848076405,49.85898786675608,45.98591416417279,48.969092360143705,46.80621219880322,43.74782289174083,44.941216201575244,40.76340744743019,39.14582159516644,36.92508671457367,34.31656449630588,33.925312882519314,30.93606311989609,32.62680327255787,29.390762493308088,32.747061041090035,34.734759128825644,31.53449633031194,31.49292925266187,27.435061574941983,28.88707462704904,30.671399322386666,31.187531770078298,34.56381234807991,35.77183890126191,38.26483920939114,41.96103762252123,39.834627701645225,44.33372555008945,42.91104421932465,45.49817897433848,39.76227146672047,36.65380709735539,33.59553773680262,31.077666052274598,27.954243388745628,30.796083430619365,27.41377693130582,30.75421928392432,32.470270226341306,32.80136588301466,36.93970204538274,37.96164700412187,35.76028367130518,38.16033706117449,39.74508349899566,39.36852774398117,42.58473710513619,43.45810108661726,48.54552070697084,49.66788586028244,49.47060394050562,48.55329748615353,45.20373816894907,45.85748267617347,44.360880176464924,43.83160710079694,40.42705251957629,41.39640560232938,36.72290720039168,40.786376657384174,39.10860198324717,34.17282662167365,37.75003861092977,36.61882419743416,35.38235022654237,32.53993616038408,35.16095706116608,34.57662331049402,39.50912913998193,42.29850534021397,44.512933607560974,47.57028451168481,46.44271734182048,51.64479774240537,48.80429564458295,50.314105756763226,46.11899273243034,45.62771923189822,47.52241485638094,48.044998334224566,44.73280752506516,46.33341705432791,44.77745342622564,46.849398819512814,43.41951504893063,45.33880474426858,45.098458117876525,44.92437919715952,43.646540360189526,42.58201523996858,43.8100055839217,44.178384164501516,40.47488486717109,43.47627281635858,42.00459288525304,42.867629671278735,46.016513157743795,46.51561565184484,42.48368367706562,42.16625531872384,46.10790701697397,43.500903372001524,38.412073519128036,42.84864730225956,46.77492983099192,41.072203370926765,40.79114966431953,44.5437030543457,43.34077802335845,39.15354493352368,41.76543938569267,40.1870421016997,45.88120511231399,42.34479244693548,44.277996529971844,48.237600428149,51.406494043135375,55.310976275089345,56.48751379320729,58.80688939654885,56.59279298399355,58.76415833128669,56.41800914445588,59.11054169794598,57.60872234455421,51.67689467568609,54.13293676323558,55.86279264288338,51.42762831336322,49.3462009964292,51.11324616650532,49.712985524044996,46.11114395792359,44.67731735031421,44.46896243080745,47.69027807331209,51.239123639926326,52.185393340689004,54.875436281314904,58.42919540218789,55.80477967973083,51.694078801888054,54.82745494992384,55.7823310028468,50.89412921883841,49.94293121840441,53.06020931304887,51.57205978637461,48.17441549930614,52.47778127915256,53.62013584623159,49.45288384914038,49.901261987309624,53.59147437239868,51.71785714535729,54.26588671174084,52.94783538553558,55.60907567314189,54.060376621721474,48.62518772726636,51.128406819516016,51.702844352399026,48.56698527781045,46.263697989557755,50.99538587394041,49.12831719569196,43.82945250420955,45.04857325411138,48.77211288554504,45.93518100947393,42.09284687124415,38.35533865764796,39.52001783506977,35.628175754765635,38.99988217389943,34.92308390268824,37.26785437451081,35.35337563918114,31.668721803859402,32.33526616362613,32.736224359240104,33.775158141663496,37.813147334316525,35.64817960301302,38.70520334657663,35.86886235087298,37.71179424387002,42.58015935265923,45.07597195057524,44.87178790795745,39.74459810604934,41.432427938280014,43.41011266522369,39.09811861646865,37.64227262329248,41.881128863025225,43.13055304160521,43.64398793873672,44.37738170526995,46.362450628483714],[32.131114625474844,30.354717832459322,30.208321271125946,25.009948348849818,26.834352440906322,29.23271891208341,29.396144736399236,33.802675235180445,32.04149493079104,30.605388420709296,33.005872725548734,37.070592266746544,34.369842761374,31.007132653607613,35.65839030308701,37.26543563728744,33.5010261662257,35.7984536310674,34.3540963815842,37.703050974582126,38.79951066923325,41.95091673468294,40.80535101655988,38.3230683746091,37.355186002166995,34.22346269590276,34.43708468448804,32.742000119162434,36.030900729559356,38.39940289959458,41.039577586268926,42.78873548350169,46.50586779312483,48.3619137180103,45.80329447064392,42.33728924104691,42.961979224353485,40.133677969361536,38.64514434621814,43.54970785741727,38.41242708632838,39.76901397968578,43.87684318527524,43.02282241174356,42.549380267215405,42.27612101707831,45.326316254598666,46.55582532204714,44.83338803985475,48.72527200320458,51.234348360306875,52.97037670552732,53.75054338060214,48.640695994917934,52.127236103879376,54.83286172291572,51.11734064499868,50.05498503856565,54.268073248549136,54.30982051641169,49.61737793715753,51.33624546437081,50.42758283510976,49.772713638880944,47.08658211932825,45.17580323043051,41.389143171205006,40.41061978971547,36.367749438184845,36.30112004963095,34.2107001629346,35.608810837988365,39.094924415066956,40.72298697704344,42.602671826248496,48.32811054637863,47.23119724738539,51.36774788510411,50.19151742370708,50.44004594985259,49.97105732560436,48.575924097044506,48.75303493198459,47.779478689851715,43.59934057052873,43.63237324548318,44.24727350333449,47.197316334219664,45.13480715162941,49.76422765671175,46.666528144483706,49.2585511387541,46.93566480795894,46.50844214585783,42.3127980129653,43.02448394525747,39.104925682938536,43.098995701659916,41.91344564290361,45.61197282000129,44.94183673470366,45.38137147056669,44.87198883896348,43.98036103429743,45.17930145294336,41.20028056338935,44.19234293750602,42.139505428128395,38.987834527790476,40.06889861252211,35.83013828990924,34.2841104787038,31.98936064188719,29.518433842063576,29.258387122126184,26.410432420565076,28.39180037030731,25.478065190380267,29.26441142655571,30.852687490490524,27.574508373638327,27.196721860532833,23.01466062635606,24.183292652385088,25.769883222968485,26.329557298937043,29.586167858561407,30.941794009216046,33.50474738736598,37.312898141223215,35.342414815913315,39.90359392515389,38.68051345877308,41.08541073457596,35.444763317132896,32.163628844073116,29.171083773372757,26.64593322015312,23.566567261633136,26.556449798673796,23.681746765948233,27.45125917879859,28.858919121026343,28.82508527985669,33.04031169698519,33.772024465998754,31.39520688892284,33.572267434811735,34.99760928364631,34.48934892476594,37.62221980180553,38.49529158204526,43.56192496643777,44.722986566256274,44.59215250551146,43.66593751089369,40.37023628687865,40.965816089831186,39.62588169711426,39.044603496313016,35.84120219868239,37.029324329194225,32.50485217060736,36.73650159275023,35.266660217669816,30.491568025224936,34.028086520262775,33.30442381440084,31.81043467836496,28.747051528196472,31.144120160303846,30.404734000407306,35.33774364357507,37.99233050658352,40.14321769786806,43.0518135542608,41.92762917328543,47.17212477260959,44.513197130766585,45.94262153237551,41.93184921250248,41.116021827824895,43.27305705971541,44.01694254249629,40.728941121229056,42.55551996152372,41.071767621804526,43.43050430701753,40.272808965481374,42.02814503021611,41.87904904643586,41.37037628678816,40.05062926885916,38.77970413429688,39.89803103226665,40.26924791088517,36.36543510710696,39.23810167443737,37.66697428785319,38.268855919804,41.489912755686966,41.782886942297324,37.72080472364325,37.60299342437877,41.4902106568817,38.72978753303038,33.80405143368556,38.346412410211876,42.103479055767586,36.388663256308966,36.30087352723561,40.07736040850359,38.72005047009511,34.67101339866341,37.53113883074778,35.989200945553776,41.710903128451946,38.483056046947674,40.131638009508805,44.08147516192091,47.3731980976145,51.21129415392472,52.47723861680022,54.59720139834592,52.308074942008524,54.40844563196319,51.932778019683745,54.797572655258364,53.429764528520415,47.398262835804374,49.83864769589125,51.83575264455639,47.44504535946066,45.23391957523822,47.14062082293494,46.00834637791153,42.28163113056211,40.72494009069258,40.24382600063332,43.27615897647251,46.82264946936233,47.635164194419275,50.203688168182744,53.69511280868508,50.982183045838866,46.938236076102946,50.054651840978806,50.89342948605274,45.98915264840039,45.1269055758574,48.20185971541685,46.67127775477331,43.35043706204948,47.74190008677419,48.849661052504715,44.69348889723615,45.28336864880235,49.01627805962043,47.19268914227125,49.69642798935605,48.30978054193192,51.10525697414251,49.66729162151688,44.154912864438884,46.70863596496503,47.48737170967001,44.360968993080114,42.01094011717738,46.95190769677685,45.28709887920751,39.86967997666374,41.115055084819886,45.11972723629835,42.41868306185533,38.48901637820134,34.5731503924309,36.24266804225482,32.290301792953684,35.458485406276196,31.06051099186453,33.05944877647366,30.88033416404393,27.465257074299043,28.127981367355428,28.85117128682649,29.712515653575398,33.54069617581627,31.04583724701266,34.095799289982665,31.05683462438119,32.833083351288685,37.63738862417226,40.126924304507,39.85447508652042,34.74636364541361,36.50766845072994,38.43520343427011,34.075640214232514,32.72726899593942,37.023962175877756,38.20408146579389,38.718512192692586,39.43887028815346,41.496210518035824],[33.15270837595113,30.995963257529624,30.225278819833093,25.38682723612629,26.43730884787359,29.81574641414764,29.945455523457973,34.46297310090205,33.2951018597483,31.79017175787552,34.51777698132617,38.43451581478622,35.26219937522873,32.37702854238545,37.030093780213186,38.24447932564545,34.183252486279855,36.48735673584869,34.891288537651334,37.800335267080506,38.85345883564835,41.59560885138143,40.52114610794007,37.78738671696409,36.73300586446172,34.00112597125376,34.02810720102285,32.65867302669929,36.25493129246446,38.74651693498944,42.01571704676249,43.45438206135632,47.42127999124692,49.15009345108914,46.24994285206936,42.654960118669436,43.00173198803281,39.80484699864604,37.934951979536464,42.340695186931825,37.17335069889996,39.11459573717193,43.0064215224512,41.75900477832196,41.1511614436293,40.51810242926582,43.63652789235694,45.06567369265043,42.96388613412413,46.682786058776635,49.499141699647026,51.1749811933572,52.19745497766,47.21265920143729,50.89710520228592,53.651019121183836,50.05097409459775,49.25951006750857,53.526254298785716,53.43760991292012,49.038897251792115,51.18795837889379,50.556198130080666,49.981355950819825,46.945381377315215,45.11939641631676,41.838208513971914,41.07463404974319,37.37392878898042,37.65679791155139,35.73902053203914,37.46604823233233,40.68737458584299,41.92268691352104,43.66837632763743,49.2871987681335,47.69604394315285,51.919196248966344,50.373338204304765,50.217136139161795,49.61912051820995,47.78088549173793,48.02336655530332,46.620547119401984,42.38342460145968,42.93037632991449,43.77679741471142,47.00870657723579,45.24003358470313,50.22909533458522,47.43511112688914,50.34698838699975,48.199748587096565,47.7994082577746,43.62933028595557,44.726597082114395,40.81569850288644,44.350345348068025,43.06638071692907,46.6739221832597,45.567500301622104,45.646877156041704,44.83730499226412,43.63025902054827,44.210917638221154,40.27797796135286,43.015695484793305,40.59206933391206,37.64112848872519,39.16080510365655,35.177499944510245,33.67847527702128,32.00191727051605,29.22079761906766,29.575568523626554,26.448992094121355,28.546073339691844,25.34773757945529,29.51173210261233,31.4891571555758,28.461061191080052,28.185094218204167,23.661828110207455,24.676870645623715,26.282587950906873,25.893913099486245,29.215987446261224,30.01091596457959,32.23018163615079,35.85237092527163,33.37652862491745,37.80557038647225,36.335676303385185,39.17706479842488,33.37847324049452,30.54078704126583,27.14447490481635,24.978229727450024,22.18551554725059,25.32991408020541,22.37104434817312,26.04618008976343,28.082015454182148,28.00191127193685,32.138083536773,33.33331812712575,30.980594908832227,33.475099347823324,34.781680727263186,34.77248830002921,37.74135938272363,39.20342424215713,44.117049605793525,45.819904308483956,45.73186790681007,44.42576836676466,41.03995619492146,41.167699446395744,39.81983776203943,38.61791195707319,34.97957363674486,36.38311959287407,31.375116611731983,35.4779548229482,33.34035890206677,28.218898616657146,31.461564625226664,30.253474301166317,28.755822052454175,26.078406504435435,28.72831833660566,28.506415245682234,33.583441220860266,36.55888187837379,39.065116293869494,42.20032845491707,41.55197225135473,46.54022305267294,43.51340183558889,44.75106925859737,40.33737038385855,39.752898477913206,41.32441104931731,41.74082916326161,38.54112369411623,40.516948795961255,39.355262919339566,41.38167228782996,37.91866430156304,39.42800593744856,38.95817808519183,38.675643500817536,37.12582271743092,35.95134763424462,37.08697339945736,37.355807261754116,33.70896589341748,36.76955849056189,35.43229929003918,36.52269521704773,39.7117688399176,40.47630009699063,36.49485207697282,36.1048033315668,40.220996662975516,37.92513007387205,32.78157062098473,37.25721076896742,41.44864070862732,36.06133607420915,35.80593552101875,39.703887160017665,38.810921614424956,34.788275779398894,37.38879867814547,35.43824002578188,41.19004230656717,37.18515211926801,38.87626698266365,42.959797655444305,45.81868132764822,49.9426679564752,50.72867287012612,52.920833473569054,50.519180216695794,52.54166828324463,50.142149418782786,52.648171432918986,51.233244776605716,45.29405752984358,47.59658508749399,49.245597378197374,44.87463173269817,42.72076101366689,44.3533018339206,43.01942337893657,39.505239678253346,37.885819541982656,37.90801296334878,41.12338333972978,44.69460920916439,45.87046614525436,48.63475108171574,52.358552597129936,49.821796691643314,45.62975748858749,48.99784744081661,50.14169658390969,45.2640626867392,44.341260738121974,47.7622131097834,46.51630992314286,43.064256173938304,47.290598131555726,48.756119956137326,44.868802851828775,45.075019738865464,48.66338414688641,46.531183453025115,48.79233130904284,47.22573570257871,49.7153171394162,48.438731865447586,42.963943341755076,45.104005803123236,45.777295747273094,42.79499734728281,40.162269655241246,44.783959298583596,43.19153652730791,37.85277166948526,38.716705861913375,42.55064592190074,39.98245551828287,36.097251186775225,32.52155624088628,33.86542589655027,30.24436368970667,33.870908172002174,29.795264574511616,31.8849211890102,30.30053741891014,26.632520596166728,26.760778101938712,26.913770441114547,27.590868937287947,31.665304600938043,29.559115701103533,32.43007644936523,29.919654039038406,32.159037235328704,37.06795704769459,39.78163742284057,39.818386788190985,34.61880708843527,36.53652084270695,38.90232072042252,34.5799529586384,33.33380579895859,37.998203463338406,39.29566374492265,39.983401451568554,40.66378926143394,42.94460402809097],[37.40269475049142,35.23719704790369,34.339235582508806,29.32316913823939,29.996588315253895,33.19177544749234,32.83420170443121,37.194068421708636,35.750416521972035,33.70214968799734,36.16788330635505,40.24489369378099,36.741794077322055,33.62534258596969,37.94236756357454,39.18364298730447,34.90939021141156,36.64389627485895,34.37447863392221,37.4195101598804,37.93377280882928,40.57182781173576,39.085862739541,36.17777559948738,35.63779995439047,33.12917730431781,33.731709719120545,32.83920058767787,36.64651365758212,39.572416915382625,42.423038151053504,44.40548618576067,48.24622774441761,49.54787982905344,46.74350040596808,42.920521578651744,43.72661140045695,40.016914445463236,38.156174107297495,42.419214927152716,36.95680129983823,38.586678762958485,42.349196387392496,41.19258615862731,40.17557003862654,39.4899851660451,42.393599457258944,44.14266046028573,42.32275250215438,45.88863969569222,48.75525184508124,50.691422344565815,51.6892304153694,46.71810383658703,50.68362977089578,53.07943433244749,49.2500609076418,48.76599116577463,52.976487318090584,52.48487650061955,48.058858788358684,50.19762359531917,49.83073373673135,48.75751389633322,45.76791109696921,44.370461292167036,40.90226717350944,40.60728995955677,36.717005659424885,37.4584343905614,35.28954142182595,36.70327073946913,40.11651919581975,40.988579139965175,43.22384445163033,48.59505872353458,47.160285423453736,51.559416635517984,50.1269160576192,49.89412471048819,49.762058009365916,47.942380966707354,48.70536787604823,47.310147611015644,42.941721790207865,43.494515351225054,43.867115134509625,47.43311864759275,45.18852152360019,50.31648549232734,47.36953927444006,50.057798757379715,48.21345706869663,48.19179372979656,44.27270879870794,45.388384475114144,41.71471573239443,45.486264196455686,44.57776314811294,48.592311894832875,47.08413213314888,47.67018242436246,46.41358897149715,45.70402742399525,46.15388551468208,42.5988197924192,45.58861155522423,43.23558868396692,40.59764053863851,41.97697642901417,38.13463252303173,36.118670172328926,34.43925910103594,31.28779021883187,31.12904559066445,27.73638746932812,29.21763510800366,25.531671658519144,28.992068741000903,31.546312375909125,28.670538910052038,28.983079555922995,24.698726214083564,26.343753010223278,28.53370203848525,28.30046916715426,32.32458430779014,32.694950818482226,35.041188840892076,38.27516428754237,36.10172428491579,40.44737903417442,38.54563460828574,41.26998243254307,35.43066451675431,32.6186608337412,29.72110189693532,27.01648303578638,23.88066643539443,26.497796196225128,22.65948376017591,25.653479794378445,27.91048866268401,28.439348520921357,32.436876870846866,33.995076712605076,31.99321251169582,34.87657556807529,36.615760227693,36.91333606811493,40.23820700458679,41.72291835600088,46.72091666517318,48.55674834516065,48.07499743652348,46.61778353852269,43.02450208016414,43.33740840030012,41.51030115854408,40.62494962843376,36.65052289954734,37.436576073178244,32.36878482770763,36.17230612999052,34.06951075978263,28.97337482389601,32.56672570258775,31.117877272951077,30.256455760556,27.56599579266403,30.413531738466066,29.98592586593114,34.868808752709654,37.88397742361153,40.297085024749656,43.643498439918964,42.81126091309406,47.76487431634685,44.51291620978213,46.01716525298492,41.48110278521069,41.530782811533655,42.93012533801104,43.141594410796436,39.8050830099411,41.16187950862173,39.66068025097739,41.41866044036027,37.76307173127472,39.72566243866911,39.42157563142162,39.52594255107745,38.385816268093514,37.616254788551174,39.090519804482504,39.72370436729363,36.38490970499524,39.706220643261496,38.77931850041725,39.82116090471388,43.30583923654713,44.03709835962509,40.03935436794045,39.96558427246369,44.15500707370866,41.84141683261909,36.90195077664387,41.478695659674614,45.5998457662242,40.27962683211719,40.20635488762492,44.13027375559075,43.113178197036056,39.2187707839287,41.97350529286336,40.025406711959604,45.78363064712335,41.768200091525806,43.334702007193684,47.44448011284842,50.21098246504246,54.38971067020578,55.025856404725204,57.09870515173762,54.54839346076422,56.39508395321646,53.824024497337504,56.22186744176216,55.01069434525176,49.02845326976213,51.066747291985465,52.72539113418581,48.48738601278507,46.169168796228405,47.5158984229128,46.38993866727153,43.071452281695635,40.99198702065308,41.42648037904789,44.272402537024576,47.94724859890411,49.39535274327103,51.99145083477269,55.864301958222704,53.12010215532362,49.068991817411785,52.71152311254518,53.7009091208202,48.767605290649655,48.14520465484215,51.62086489364894,50.344344597217514,47.05033289189226,51.38939255310484,52.850358421243634,48.98727822804758,49.36516117288989,52.97849080185049,50.8468677485784,52.98142085337998,51.23174041462718,53.740197208129196,52.6913837543927,47.162356305491954,49.109150635841246,49.95027690127593,47.068107274315096,44.21326851926648,48.78508748791786,47.413854609739644,42.06878759072693,42.63942950963201,46.530669281163135,44.156359533647716,40.28088922840106,36.85027964399141,38.17937189765667,34.72473258262235,38.46162786677839,34.408484532585355,36.3511859595703,34.71464498052892,31.19757778051431,31.17944270020641,31.281945960150303,31.695346993715585,35.70290449220287,33.34464970732253,35.88838103959419,33.232641380268866,35.83972613175038,40.50525899269128,43.39005159906444,43.112378235170056,38.063975938991504,40.34809927164377,42.511440443893434,37.903244583732395,37.12284757801944,41.75326385059527,42.74197790674569,43.16495930394478,43.56867453275973,45.71030706319454],[37.01717657208439,34.780717396872895,33.70762845325618,28.522408640733136,28.886866842644167,31.820481661976093,31.095519383722056,35.31529957835789,33.71938816578829,31.373539142276744,33.714023145507774,37.83589627589593,34.18432736561051,30.997467638259977,35.163463295548546,36.40147530330542,32.07864591464136,33.643298244242885,31.252141764753734,34.36688086783232,34.81892199828937,37.529742296160414,36.01325067199878,33.16660149481865,32.65421746195244,30.067035961036204,30.790896347742173,29.939023857801185,33.7496597966382,36.78695335981535,39.46487621299535,41.62420202376426,45.40407978504754,46.58186204609601,43.83283008776694,39.968806151511195,40.940350805104096,37.1611863001966,35.395759633774034,39.77802166656339,34.2718266443061,35.66854768502967,39.47775684784571,38.469340533211536,37.476144054883704,36.957500473092026,39.82777635913938,41.48489124721951,39.86524768766483,43.506456005867186,46.212672717911936,48.199171741958686,49.084111911721926,44.062513482302485,47.99448206050336,50.32428811719426,46.429031886581086,45.892733502156,50.084768927497926,49.59562308254204,45.077953123423164,47.11797820924652,46.72451917592589,45.60727016809395,42.676051715598994,41.29191953784585,37.735696123937544,37.47760762206988,33.551993758322226,34.37354060618609,32.17736673131873,33.58524263695067,36.98226674843564,37.794263418020165,40.08117448728594,45.41838654570949,44.03388721675619,48.44897054675197,47.078763935565036,46.90369759871587,46.888170904832094,45.18500257945797,46.06398806356556,44.80219785585783,40.419413065546685,40.81591303485875,41.01142027195916,44.595784051973006,42.19097297864959,47.298854446933326,44.29884655063523,46.93324230680209,45.14990733300001,45.2199282882213,41.38178804326097,42.5256772730587,38.94332821508357,42.7590889082707,42.00390820792127,46.19420203537467,44.51704121131024,45.36715641176881,43.94710261273876,43.52671668766916,44.0646440035635,40.69753034405222,43.90196789605844,41.731711687148334,39.22553637927181,40.36732577359945,36.56576565241477,34.22464000202521,32.44385031193635,29.15401354981504,28.66578735472722,25.210637247641976,26.438512611362786,22.659797448223927,25.90432261692367,28.537332844865386,25.703053554730804,26.199615499287265,22.0459110364436,23.960000529026466,26.434464588149293,26.40041462078045,30.83783354222005,31.043604351245676,33.56390232198797,36.61875412174689,34.84652645703169,39.19821404175742,37.18090035884982,39.618123264442886,33.843209794446054,30.85569547579913,28.41942586856499,25.275694404249926,21.891166084720627,24.21667880774899,20.136030109011575,23.007930356558827,25.091663413502655,25.78297362634786,29.756262801205104,31.296720094423254,29.41439470078566,32.38001603033074,34.32480151424347,34.70899044835823,38.23499927804816,39.68456539868264,44.72044173516681,46.63198123863276,45.90883023444143,44.37064510730648,40.68504047577805,41.12969091766068,39.07482878053494,38.44392863966723,34.42855607803966,34.90938462053211,29.970086087179126,33.711397981402655,31.894600301585015,26.991006929990693,30.855960041315193,29.65779863987906,29.02596641232676,26.074615049070488,28.847572468761893,28.073437852453562,32.803600973211715,35.69976784305911,37.95096067632045,41.305968062239664,40.286986809541524,45.279033024103626,42.05371428212951,43.71233155296721,39.287025912634206,39.5037008138461,41.06776244800614,41.360431648812686,37.92906317998593,39.0085204890615,37.2719034274488,39.12981761912196,35.61290257416239,37.80622653163716,37.750506062060516,37.80801202167195,36.956868215641855,36.28486556411696,37.906800853072816,38.813051636948856,35.48870311150782,38.8662895912484,38.12115999869451,38.86587184370068,42.61665900130623,43.111330352097475,39.07844165864882,39.41300834264692,43.5803098760319,41.09794285724358,36.4655135420961,41.185435375165746,45.074272176157926,39.78632111506789,40.002361656248375,43.934713948710765,42.68000765712544,39.00284619577248,42.05360033418499,40.1774428148904,45.93432096570139,42.23165389719216,43.48918260760459,47.58518264755614,50.42365321846345,54.54917396880326,55.20845707637565,57.03625977381539,54.34154503617009,56.020028896171546,53.22157269422476,55.723835273523,54.76409113120869,48.66535576195709,50.52491830647198,52.44693829931255,48.33368142088306,45.79266247334962,47.09038054576929,46.34868987636526,43.035100349377174,40.54916686496601,40.98789365407161,43.40147217404714,47.14379076343636,48.63198982784717,50.98932507794042,54.88597630558927,51.909456213034304,48.03252244552517,51.82289809107539,52.577679645849884,47.598344239392006,47.266983843002556,50.70582541319264,49.350772119496405,46.25208387073385,50.740387382266654,52.132082882178466,48.283567577244646,48.92358725520185,52.589373200169995,50.53345104411924,52.56610209758472,50.65849737944727,53.31413658172218,52.49166400023906,46.872305975306205,48.76521672424798,49.89134728890338,47.0731223500502,44.064702061719906,48.79808643408342,47.726370108273784,42.282709747515845,42.716774068527315,46.8863637910458,44.73189193223337,40.792965173554315,37.289662158756286,39.02955353914856,35.60844623949441,39.20722080235614,34.91376470825996,36.47843063544827,34.56850561182228,31.399391861384057,31.31083720845514,31.669544105394824,31.779951315625286,35.54602780376091,32.72291773485455,35.03620438848307,32.07534777068176,34.85494073216333,39.2664391494192,42.24172386082968,41.65706090769754,36.76443699474298,39.35071273159935,41.28410521030403,36.45496346675742,36.101798183536346,40.69205448740357,41.387388228245946,41.60079991577014,41.791576075857336,43.85431056093836],[34.83879321552509,32.32623278512702,30.811325067111937,25.920196214828803,25.785616452835495,29.37752692445896,28.753593416745442,33.07670134116713,32.02304140252765,29.86783926016472,32.568052600487775,36.47947432889814,32.65380686531251,29.96609289112853,34.29494952263981,35.21499178484933,30.814711163487637,32.724802251257096,30.686152287569723,33.36397670968654,34.161232092423816,36.64599839826631,35.49280538929719,32.61840588522311,31.65518117953119,29.200591871936126,29.383811092917114,28.456982231262376,32.34197257600553,35.20067597985816,38.5760165198908,40.18166868532799,44.203919688720674,45.53669808750479,42.49137317866094,38.684265665215364,39.18403883059737,35.46389983905139,33.437770219202584,37.58333557063396,32.24642577959861,34.234429889285046,37.982591305447635,36.66232803609355,35.87513244609512,35.183141327559106,38.25125955376095,39.7876693169691,37.75369595810057,41.40730223818893,44.24733953558021,46.02361970335165,47.06598063844267,42.10962302395777,45.97430180064907,48.56679957994519,44.90099621962566,44.32816471546541,48.58783396001811,48.29311530092917,43.99151284768258,46.32465085794618,45.93807795329892,45.23704704369746,42.03576040444499,40.407994069018294,37.36293999632221,36.934354093197456,33.425373692114796,34.192574383781654,32.323092688765904,34.20495621843666,37.22469467437406,37.986304777761575,39.810319470095166,45.21563045689056,43.364147180654626,47.70929897799795,46.005454651120566,45.60171840964209,45.20189616491455,43.19930514157295,43.81291253875201,42.278347240447054,37.93388446073085,38.65318635334822,39.28700965801976,42.85188465711615,40.94955705664515,46.21105929057617,43.536496276704895,46.54580893006628,44.702683059596296,44.55535790100655,40.599118644446854,42.02345001763255,38.32501927096178,41.64243290775639,40.61928661614807,44.53466253557481,42.739081179338775,43.09684428251337,41.68236666518134,40.82610709667503,41.03089202281191,37.54174072390952,40.501690265184024,38.10465690656907,35.622137682713344,37.05210031790138,33.37464561225632,31.234195185893604,29.87048387859746,26.527944240376154,26.70638525870192,23.203990117369347,24.849379473396652,21.18698056096865,25.16626429684969,27.677556683733904,24.962921737621745,25.168088588285265,20.659893932176725,22.11066504352846,24.322931848005673,23.567648694361832,27.815299995303445,27.7798657201878,30.052210158744618,33.11564401582856,30.986624150843287,35.29484926820137,33.29526523645467,35.991305111615944,30.145413406575898,27.38698642289454,24.575095978105423,21.79695220523924,18.724578535973077,21.390909312068672,17.743766691403884,20.99478043174632,23.361303373455968,23.632219170094167,27.628898590822274,29.26772045095093,27.210647548247117,30.185581911287738,31.836759726467843,32.42968717107287,35.690092328130326,37.5370010153178,42.41792563708815,44.66564555903338,44.12346892448055,42.37618859298238,38.726894021409954,38.76199234930369,36.92143153571533,35.73037266745408,31.58952652792641,32.51648519016865,27.296280836715063,31.11994194521383,28.87965052648181,23.751093324557754,27.304410915911912,26.003859749022514,25.079635050777807,22.280249790807375,25.10530942400154,24.690640778762514,29.602954328776867,32.67086368572253,35.18578302970156,38.57633091033532,37.9586105022799,42.79670373997821,39.45795830832674,40.861238311373384,36.25728273566502,36.30803901850111,37.62321327120421,37.842259600668186,34.51256905188264,35.99391354081806,34.63107627672825,36.467279392975186,32.90085918247339,34.70055117223095,34.40381242013337,34.35382786393383,33.19838447020548,32.38921619428429,33.89461917483709,34.650633807063684,31.338794046490694,34.7334624649444,34.02318914216114,34.986071369785435,38.67859931093547,39.40279262483165,35.42812157094678,35.60788484730352,39.868169088425475,37.642419958559536,32.932240251866205,37.60290543464731,41.690982343179066,36.633369795779544,36.78928817291708,40.77380751703086,39.78707752650217,36.19104585172396,39.12557819091663,37.023866836469864,42.76018255355189,38.73685453012887,39.90144073649967,44.04450506546053,46.66296626235082,50.9095154162588,51.330705050144225,53.13607413898049,50.377232937248564,52.00837162503349,49.24843622644188,51.61168405970137,50.63599446353481,44.57805317657742,46.39240722005307,48.201235929902886,44.102982945335434,41.5783279206266,42.81578401062478,42.02757775004172,38.76624704375172,36.268544430036606,36.83679387668405,39.35407675328623,43.08534411119932,44.692252287317224,47.162408925211096,51.14304295905416,48.303671779565065,44.32827037903731,48.20420284661078,49.14802075988404,44.206163944105974,43.80199733938761,47.426583343220024,46.25370787852778,43.07573146515487,47.44735941625322,49.05279453955998,45.394730911149054,45.80205321863009,49.369286018349,47.14546951043819,49.0215796318777,47.015744880134726,49.51656881972458,48.79968426402171,43.208218874837186,44.885249976861544,45.99509635017032,43.26848533740548,40.112702931516324,44.7227742151188,43.754228247687,38.340703084470825,38.58499320636943,42.746683045469894,40.721162257642305,36.796557126655884,33.43782615075966,35.201697409858,31.983945242853277,35.70893885776246,31.521350480383262,32.97868574775819,31.362216524689675,28.182658991802928,27.760543000817442,27.907986930089184,27.828393082382018,31.62408807386987,28.960629643025598,31.18800167340955,28.538748332757503,31.523051494914753,36.00646510379902,39.079031243743515,38.754426246345766,33.79231970032438,36.41734300979979,38.659639056494825,33.93498560030174,33.586054374574005,38.41672434589653,39.239101627105846,39.640037666814315,39.88048743452992,42.153312992026294],[38.93070890522148,36.459810156446856,35.005643350252996,30.339116486810216,30.253286782462272,34.167133756200904,33.69118801509664,38.04709357532994,37.099559494130105,34.947850619167994,37.63549454952208,41.54856025774046,37.626042676413455,34.96253444781372,39.18513742627611,40.05201961170863,35.5471920918922,37.2051859472876,34.77719333833638,37.35553179851044,37.776395771771476,39.965172701702585,38.54113542740223,35.411197588980656,34.83051582135614,32.78548234922683,33.24678001088589,32.73868690276692,36.79123675780523,39.83647074257559,43.19726699402798,44.9215609858358,48.9445092048076,50.071903559178466,46.980042929290356,43.05296524318968,43.637032337885294,39.56338136769395,37.36338133013571,41.067599828097826,35.60943242761146,37.755972454373975,41.24495159421664,39.72252302593796,38.53957130715266,37.497290338377006,40.4182452090368,42.37895957981595,40.234628203724526,43.58162681371973,46.732848796259184,48.62557824267187,49.8512413141897,45.04499703527726,49.199030916169505,51.582574393784235,47.87331418678478,47.68712688154015,51.90931046230023,51.25810979540508,47.15407341491653,49.696825634176086,49.623138478440595,48.60514067018501,45.3022099312557,44.034595392423014,41.089804163732204,41.0384661235181,37.5223572762084,38.611298254179836,36.62560214746868,38.31795538423875,41.43723266171313,41.90616926316689,44.010419796112046,49.208259997514546,47.31848172984441,51.77483753918683,50.00715883174362,49.377854297059265,49.16996335336693,46.94350873865778,47.827772545114506,46.04001748326811,41.64396975567459,42.68326484871153,43.214772620891054,47.05131746175975,45.0608991363782,50.49735848288683,47.854338320053415,50.8085993570003,49.16978685906859,49.203401264044516,45.36647645986609,46.833083529044764,43.22332607856395,46.555409862258514,45.60715634651959,49.554320933201744,47.60420862983875,47.9266644531049,46.33831260102008,45.42524389221391,45.27881173968681,41.88066869192833,44.65400440693816,42.0114892019921,39.66541287018781,41.38392737959223,37.85848643183401,35.81176328763064,34.71536074186613,31.288125540199232,31.606928204400596,28.012596389465283,29.48116281105578,25.58202600952577,29.23169558860021,32.143749726508965,29.58190021428158,30.02860335403445,25.586599509399164,27.117948808133043,29.34630339200795,28.317981316413142,32.44081346971216,32.21687945158562,34.234837329579264,37.15253996238009,34.633094468310716,38.76519375847018,36.56040034263852,39.61882755916872,33.717753120209856,31.38096678612218,28.306671990975683,25.881864299226585,23.05527630260708,25.615127113864354,21.680187880754193,24.356546175863517,27.21266019401962,27.76492092563407,31.569828841962188,33.59147868370084,31.703149400828984,34.87944558745984,36.54496615121346,37.337802449812585,40.52697301144716,42.52364508016879,47.34733309512926,49.67867615745951,49.175125278221145,47.36194334241929,43.692184112396454,43.60548527532375,41.71951883296776,40.3283987087676,35.95723917431665,36.8312475970494,31.39061936170341,34.949010190084834,32.241281375301234,26.914170639065116,30.218282696755885,28.266767790429494,27.580103393526024,25.325265051607715,28.391714450392712,28.42166223461356,33.297025886936744,36.5727417275208,39.269320080809514,42.819391690861686,42.4136738246461,47.066441406685314,43.468897197775384,44.81819591663138,39.93395068274912,40.31615509067942,41.118360424462864,40.97989071118936,37.7394790721152,39.10752226714362,37.88150776933036,39.253660161856914,35.306801599212626,37.08140547192116,36.501284417987286,36.900004129874766,35.64067705070193,35.06615350402951,36.61898678323051,37.24818182472962,34.277781962882734,37.78734547676956,37.20421926356825,38.638003179956215,42.13241971743088,43.25144513772011,39.376165055154225,39.1673910218786,43.51568671190435,41.62553215056503,36.64843058221113,41.13250459722996,45.542723817932384,40.59430029816232,40.4504646091014,44.43787465407251,43.78209164686648,40.00936842018774,42.58307405553487,40.31703127280637,46.032362614365994,41.43418209853166,42.93386167085691,47.11681953865478,49.458172241265814,53.86096725909475,54.02700383942725,56.08358833985098,53.39818994075854,55.09823439695089,52.55370745169401,54.592792521913836,53.423993206711074,47.557929485035785,49.369677854810796,50.7272067814796,46.59582212409506,44.289258030544005,45.296220613993626,44.094321004175896,41.060598576939235,38.78891377150053,39.780906075403536,42.628108486744715,46.31212630003523,48.14001453580593,50.832110742917955,54.915990875762866,52.29458078932289,48.1891190174632,52.09451178999312,53.300030800983095,48.42073808116861,47.83535798657229,51.59631476891101,50.57287824378727,47.24183775959627,51.43177378219045,53.192602465067324,49.60655492211024,49.70555740928246,53.17178647289775,50.79210512764799,52.65061053976224,50.6972217235579,52.928607645958365,52.11363734542303,46.64945183306785,48.15370447731121,48.96733982102533,46.278517183844826,43.13165439170998,47.371427320038585,46.181374148392685,40.95865895961039,41.083949779676104,44.82767907240457,42.69251506456245,38.90429093424607,35.86385136721433,36.95456786549215,33.916713231834116,37.982170431813586,34.24581381159744,36.12905757600435,34.98577908278753,31.414322039592165,30.89431637582944,30.52703790248094,30.649909866077788,34.732930804218455,32.65863834642562,34.89223501553035,32.71174012357625,35.76418357056627,40.37910223967777,43.46481299715531,43.38651488868816,38.36161362361586,40.84175144328186,43.30844467842166,38.72470273580852,38.152691943577786,43.03927146773871,44.04749692054284,44.564133521232215,44.87701418465549,47.17604142971856],[41.12888928242315,38.63296213289221,37.055580041957526,32.19720372651327,31.801838810638547,35.41946012158916,34.49622120327037,38.660793669854804,37.479460123872805,34.890633566077994,37.34147925051706,41.33564997849206,37.17430055867492,34.375311174293095,38.27748171623277,39.14206348846513,34.524889319429974,35.72736752557927,32.83567152698406,35.49060798655376,35.52581002166431,37.65354737849269,35.95481345637145,32.75225260705236,32.532096335939194,30.631505283342985,31.522317925462392,31.35786245772708,35.504763616932166,38.84888332030032,41.847149161541914,43.97585768046429,47.867562948534605,48.66086263299642,45.67044697468977,41.60563112887008,42.55419570984368,38.15058248586059,36.02209484637788,39.67143667445602,34.036428093996676,35.84314863225063,39.24538416947119,37.868965439680984,36.43458469565181,35.45367776390591,38.20175592944436,40.312945611250456,38.47833826436036,41.75575761761797,44.834434433276385,46.91929718751259,48.05745530884751,43.24864596153293,47.54664253428462,49.65675973765951,45.776178711483624,45.76100681915426,49.92020545489095,49.01343197489212,44.8605118310451,47.33990737581755,47.42677804746784,46.07600225937105,42.83998438604096,41.863795599834084,38.79093226611296,39.06518892347076,35.46191449413703,36.882780158067156,34.76160973009186,36.258434186817425,39.43668295936302,39.623631159123434,42.03593079626109,47.02220125871376,45.25206761725969,49.80488995779355,48.14279576813305,47.493486379129266,47.64276924601679,45.50196530267573,46.77188424189233,45.07651864012077,40.61594486150736,41.563176971024276,41.69696311189121,45.73192048999301,43.372929961290666,48.859661747499956,46.11585269828096,48.89477275453842,47.48919165053721,47.80179073390886,44.18578462068781,45.677121312624415,42.28331877410301,45.74502783944734,45.104515868400874,49.36027655468512,47.094216178504205,47.858545764334266,45.928197165411326,45.47791133517407,45.317267035848154,42.265618098504284,45.30080556098987,42.830972198786384,40.741577053975,42.21958246583154,38.804723991118045,36.30020320322908,35.141117652587475,31.469716569312876,31.311240686724485,27.58016829501982,28.5245078017319,24.3402715038032,27.37223699151545,30.663571590050474,28.271543135274104,29.161250747606076,25.00313079520039,26.996507388092642,29.661351429677246,28.8520431262999,33.536955618924104,33.015595387224636,35.19945403324572,37.78283127006027,35.707550321469746,39.77526054711727,37.2788581929999,40.059784520477315,34.22284034468557,31.805295475591358,29.330036799559885,26.36591984094754,23.245716608090426,25.27835093125377,20.73961508079517,22.822970659460896,25.70689207851662,26.73256120999642,30.379223181473495,32.60273525824481,31.018689864246426,34.43746991998482,36.45378811425607,37.45820414754271,40.93834925170206,42.906935459432795,47.77805074902861,50.207725412720286,49.35183270401341,47.42005599378561,43.60195361667371,43.69847460185741,41.42187902266057,40.37220736034769,35.821417261456325,36.143605799174864,30.79543156317371,34.09387351458803,31.603607957387894,26.474656482302553,30.12869243448087,28.21733853812875,28.080958778043406,25.674265859078623,28.76177458244268,28.447853058193104,33.05739328268146,36.25376542686071,38.77495693812137,42.430884656739636,41.80808835226755,46.43485965009299,42.73868009160711,44.33348756249423,39.474992102772234,40.33116156035543,41.13606569755834,40.931644063221384,37.57003153213122,38.37365639936142,36.797593041501194,38.0489876467329,34.08563712235938,36.2885056823961,35.98041667274654,36.59023826108649,35.78096234483099,35.514592740329654,37.347079161209834,38.35748546623042,35.57805181125502,39.233286251680376,38.973072822748094,40.16943212545218,43.96839858111045,44.90139824113223,41.00589870150776,41.21714362809358,45.566855348317006,43.54766002703276,38.873098110053014,43.48919480750339,47.69847781274271,42.78904462378891,42.911364152125735,46.909588100077855,46.029105315121726,42.440472338200514,45.27647670076747,43.07718233212661,48.79780495350455,44.427420179162716,45.681479340737916,49.859980237693534,52.223036685996114,56.60234174460061,56.73313756404752,58.57292359285022,55.73066141158255,57.23579773376404,54.46169739343591,56.518311599142535,55.6194181315089,49.667435275463106,51.230067325874764,52.76912454404553,48.79753668392058,46.27008972586903,47.10218305464362,46.269267488714995,43.34238004425982,40.58722820568664,41.76818231096004,44.13165211846464,47.898202223901244,49.875628284757404,52.31570425992939,56.475975560830555,53.60073342423937,49.69331277947308,53.81505390401127,54.782964362937555,49.85641159852542,49.60637847925431,53.35302112698132,52.25724612595296,49.133214600237935,53.47195407577232,55.17219612493496,51.597683057345385,51.95547596230501,55.47117404458907,53.15307562489939,54.896794578477454,52.764919690209055,55.106333777307185,54.53892399082526,48.99612676957988,50.38892128543979,51.46623775025974,48.86178215956421,45.53153637226449,49.85451244901676,48.95796068789487,43.67495137478967,43.59515890268118,47.54089136225402,45.63354820295742,41.815546625168594,38.779562703456946,40.13470375845943,37.16655246534738,41.164921120163896,37.26793244512058,38.85853082361535,37.49041236140501,34.200408797024025,33.61780266327562,33.42482277767359,33.2632517960667,37.14189516077995,34.65000937447462,36.58275553468266,34.13266516899388,37.43563466605765,41.757377415685596,44.96627698176771,44.53393235237927,39.698934313809666,42.52552207273396,44.73414327074601,39.89088157692276,39.792074881804375,44.61535235980295,45.294623114415344,45.549319619381066,45.595549418865446,47.76466523800627],[38.94150312530885,36.24219309093762,34.239218369588755,29.431527147413934,28.386595647408313,32.026988460090486,30.74072390046208,34.749140174649746,33.74141738419199,30.950516639541764,33.46007883336039,37.33414621857325,32.91556639009597,30.390974634511185,34.18893382817164,34.83079314856938,30.12794828648087,31.356682916254986,28.581837715853926,31.011465612115497,31.238333896570634,33.32227252206806,31.867653310807714,28.728886089116216,28.177211751142906,26.244226189124603,26.88977585189821,26.72477687908032,30.921514759371657,34.26874937035242,37.52456178977928,39.47731263507882,43.44682099518958,44.21443415481983,41.09762400954216,37.0343885568342,37.857228901978836,33.42635114297326,31.239723665941916,34.909671455533726,29.319290968005507,31.249923943366205,34.7015774335663,33.29961754206673,32.069916565936474,31.206868444522605,34.09006198594935,35.96335455267493,34.089362414289695,37.52213696714977,40.47448953805734,42.47138045515108,43.56376262122979,38.70182352103038,42.89539246597976,45.13817352804878,41.326925734342346,41.17940073732941,45.38063368049371,44.651337668251614,40.50115388973035,43.050562786441496,43.074451215336865,41.994641121822845,38.64355410265511,37.47239661822281,34.64200573791739,34.812016826337796,31.468475649539595,32.925656883740615,31.017459188072724,32.84590773649752,35.72114149056865,35.8258241130995,37.94765146284737,42.955444013976546,40.92685536174268,45.440929857938414,43.62991952631461,42.914549298989115,42.92255616604176,40.73476732587373,41.94612131149007,40.24755831698545,35.79201376721732,36.74573678555157,36.96830926781899,40.99680371176997,38.79255746850191,44.34593906393713,41.759574643899484,44.733595186268865,43.340026305436325,43.59538276701017,39.99721534077608,41.699400652864185,38.34434625259603,41.50948916825454,40.87062911530671,45.12856220137221,42.609924841988935,43.36570786866281,41.26096507716862,40.8800403522718,40.63209253256186,37.73732763807996,40.87577465597588,38.510972233598025,36.60231501154963,37.94780453785913,34.68102663373625,31.919195615582165,30.913167415645766,27.06767706946516,26.934913779049474,23.123938851633024,23.99967723469883,19.77935057857016,23.043536030095282,26.345292350392675,24.11601669080062,25.038011579429302,20.86738166322705,22.86989123714696,25.684048675909963,24.65719213253928,29.677047199623658,28.801384952426023,31.027992444132156,33.37267812650606,31.60560512903723,35.63533136536158,33.0268373763822,35.58276210755297,29.80565972981884,27.316319999782262,25.23771884252861,21.951446124587182,18.743660664397282,20.55043637776299,15.933779295389407,18.078655579764224,20.979332947914635,21.941003219874585,25.568828466120078,27.84415095343047,26.305241010875665,29.82647452330254,31.896522128535462,33.13852515637501,36.66650422303751,38.82488891297777,43.61009133916397,46.315943862846616,45.30257554467439,43.16059904590069,39.28095121242092,39.27502665527473,36.87631806804568,35.78400247414019,31.123582276430305,31.351747511397434,25.985563941383802,29.258504221927847,26.85983746826383,21.825193099558618,25.659860278342485,24.041506211349287,24.025680609103368,21.357797256627663,24.367572398912966,23.81924299859513,28.33441739800097,31.484044710421006,33.96567030664076,37.645031499816156,37.04893642704401,41.62441007294247,37.902968607194055,39.522635895609405,34.70010557535078,35.64191565736587,36.5170905082475,36.390707918564104,32.96733847102191,33.691791919422215,32.053231712462505,33.458331165489774,29.64956205757125,31.894489694864532,31.768569537569203,32.209829833796874,31.58011334882247,31.335316329148306,33.27565560219475,34.540963366358895,31.781830817396816,35.484982277013586,35.4589724532732,36.39051942121006,40.45378776102025,41.21142846981713,37.334549366386454,37.95401578650973,42.28833267327248,40.21861542702196,35.915273671949514,40.629487227932124,44.631260396556236,39.92497483212776,40.35349091946407,44.353146038848806,43.34540763712727,40.08671542775548,43.17808165971382,40.96734367280103,46.62846180540448,42.51176556963108,43.33740563784615,47.49046009140869,49.82508343360206,54.171627114393665,54.2257079758283,55.747583903245605,52.71667244031387,53.99465249922762,50.97831951988525,53.09830197270431,52.49621865060671,46.44571083319595,47.77244533665499,49.58804239323921,45.78711471921056,43.00670678659509,43.76703708225074,43.39874177578045,40.499110484975915,37.261432173820474,38.47836612077622,40.35182054746874,44.175200596940265,46.23828045014288,48.43966931205972,52.64976592359193,49.58362765860393,45.847099389246324,50.16289131778031,50.94937133357499,46.014911753834795,46.06847570568423,49.847615874099766,48.76531850988291,45.8462691184454,50.26852694709551,51.99157249865578,48.56007702258528,49.09471711287042,52.59858808407047,50.29700601438948,51.831671392636075,49.47624527055485,51.90572119825203,51.660668006259044,46.056591026942186,47.27393836769072,48.68166976832221,46.211525160405124,42.65149237550359,47.093859682319824,46.61452095659063,41.258907668316034,40.93455322696222,45.204115826071245,43.63421789266811,39.76861387342068,36.72712959363778,38.60082136855203,35.783886169760656,39.62363328927695,35.522017781587685,36.58988360355216,35.065381124667546,32.223853170064714,31.39934462384598,31.416446828313113,30.796847565411543,34.34319565641771,31.398856521950403,32.97864508775216,30.359523851958794,33.950983087646875,37.96490850465354,41.309165931487186,40.66796080227701,36.02122810980616,39.196688671462404,41.29401832345733,36.30313322681428,36.70534612292713,41.56967949341877,41.981360989626204,42.10695061022127,41.94118268507633,44.13691311215023],[39.38528107599357,36.573381479150186,34.420999221327804,30.05308715302907,28.924755856628227,33.31445466361438,32.45396235207841,36.63783013684913,36.140756512706346,33.74212521836059,36.563500042496045,40.25877275766477,35.86174111791531,33.716730700338964,37.706481790599035,38.14510274684253,33.44798773475393,34.96916806359611,32.449403958121856,34.491823841089115,34.88285292839197,36.635630264995534,35.38010942027179,32.13209351752548,31.38868976741721,29.774380517477994,30.02734662487103,29.89784042917597,34.13175036154319,37.28346972163204,41.10698883303112,42.575029975785945,46.73347269629355,47.643600973378106,44.28919038305265,40.29245732609433,40.67503754434194,36.274330489205,33.790121872888,36.979318130190606,31.58023350092939,34.170987758928206,37.403104081194414,35.586160056308216,34.3514052596396,33.0792169217238,36.04773601313021,38.062121899381324,35.67225148491113,38.888192159959466,42.18497368875354,44.01128560578332,45.38405548061122,40.71462370050791,44.965135356925785,47.35967628137339,43.78838326641655,43.80415877947936,48.02253042472648,47.304813814659994,43.492815656478705,46.38069098739057,46.536556420763056,45.675259710314094,42.08885671200804,40.87276784553464,38.50641109992647,38.641744857402074,35.600786006111655,37.01679703247327,35.29649058220041,37.33302965983911,40.03371173002479,40.09353760061648,41.95661613716614,46.95069977715555,44.5831068774437,49.043085587685994,46.94888429531495,45.9584947115989,45.66507511216083,43.10153947738747,44.11051201464635,42.01551767857465,37.61894097925614,39.053966258755274,39.70371530224905,43.760342726144145,42.02628613398665,47.71493676906916,45.41057370028927,48.63562562625529,47.216257270387395,47.30620103143208,43.61087869592777,45.46176365742466,41.989400300250075,44.80605856696057,43.88791455857978,47.81137157174067,45.32202023080221,45.50493412449753,43.49644496412764,42.54596100723147,41.85242666617534,38.763433808904445,41.451402095079395,38.676526053940755,36.749408920484086,38.6123844513731,35.48322250874333,33.19180999233243,32.66331226049669,28.913376283048628,29.558370577463688,25.80165261983715,27.121409938004273,23.087164784746438,26.85005901230925,30.046497072323596,27.89663847040021,28.516693851124984,24.080797943718135,25.553850911921163,27.921303345834726,26.179876641067867,30.622496995622587,29.64494507882162,31.422189886236257,33.841321565565316,31.312115909841573,35.20184673672755,32.61429418359136,35.76086343568497,29.88711068016103,27.934121550781004,25.07932514518692,22.651685062017986,20.068028034609334,22.321336451632664,18.2997771953967,20.570626950663435,23.906459580934694,24.48671276605582,28.01848891663297,30.465121466040724,28.771048815848435,32.23950902926962,33.91096522424299,35.27113779912293,38.40093189564314,40.89477427280727,45.50706684857501,48.395158351878564,47.71727174807844,45.49148892661264,41.72504319814504,41.292691903309844,39.23550128088244,37.47636847729912,32.718842088781656,33.515972464293924,27.82632898751646,31.07111004168983,27.934418602073734,22.532234070986824,25.692480708710715,23.451549036388265,23.107953073727018,21.100429856270612,24.307253263293127,24.5664304502728,29.2859453377074,32.72300567856652,35.59022863030909,39.31691407620859,39.25049030850343,43.583954500652546,39.68897065468575,40.954086074817354,35.826325767846846,36.62621742146627,36.94996427505363,36.54017223075739,33.33955746740904,34.56757510475044,33.501923285650406,34.59335853299917,30.497034884786753,32.18290620197556,31.508040017649705,32.10976656910523,30.93441955579681,30.61031295458354,32.35312293201094,33.21618674967646,30.633502144754758,34.35810335211204,34.29102708095253,35.8323268606706,39.55096494101385,40.834346213672525,37.086324030715794,37.114612062111846,41.5619859226058,39.96096523871659,35.282224565515655,39.758531296811604,44.20064403444767,39.70344946008357,39.75809032244872,43.77806832256988,43.271741998907544,39.859608693519576,42.504304003066316,40.01665202600147,45.635658636757015,40.82670786325296,41.92928137230127,46.13529345417146,48.12036237583583,52.66054956123962,52.39573679311274,54.17767720796551,51.232588884178924,52.62001675974794,49.896224772568374,51.682226491073465,50.80298105138782,44.96157437042798,46.374377701788674,47.69928702487359,43.81090161803211,41.30409595917552,41.93620385301467,41.05987763425159,38.316289701700676,35.4585763879419,36.99008603019674,39.41074157758881,43.14574824614031,45.37107827191279,47.92981486968065,52.22262585582346,49.535100593641836,45.547222432357536,49.819944228102194,51.03143648210445,46.19849323277727,45.90444880082607,49.89522337797904,49.067509737964336,45.892444439582235,50.03449915637815,52.0241268591513,48.756512080914746,48.80773607479912,52.15185842621112,49.611455197818344,51.08876891234995,48.79819964922405,50.881744656485786,50.51761945101735,45.06563679349863,46.07260728608762,47.1346807283048,44.715860267175366,41.15423687737542,45.20695455889799,44.50969410742988,39.34309413616487,38.894608273403,42.76634588194897,41.11335866461968,37.37338927474511,34.66270915688408,35.967481108025346,33.40209222205982,37.573031112948186,33.934376156818864,35.34704884002418,34.44355314442028,31.211777015875413,30.13507964389302,29.5758688139217,29.09065709733416,32.942219765237944,30.734611152051922,32.40783105159651,30.481911860970186,34.09984333983004,38.3934520754546,41.72976029359626,41.61045299171829,36.79012404805795,39.69065868389202,42.256506970122174,37.58143977642081,37.57069476793195,42.63298908235421,43.42117510845678,43.87590681884833,43.93984460596408,46.33569242768501],[42.275426968803046,39.56739539478376,37.61813861326952,33.30511434829029,32.472186666113515,36.921262171255925,36.24159250019447,40.489616465173654,39.93832761643363,37.59891728519596,40.380883422822436,44.13564450934432,39.796987988946576,37.53194121110807,41.51691654084826,42.0297599233944,37.32478830683845,38.72067896354403,35.99052685214299,38.092578229940585,38.24396821564656,39.89266900409303,38.42368460854062,35.05878397245319,34.62062596641535,33.18450219535783,33.667782196064884,33.705628154655805,37.9748431856926,41.20661651880132,44.89637277561925,46.500933433961364,50.62063751549591,51.44626232275381,48.13163623974566,44.085856709930546,44.572489104599406,40.04234888796087,37.53243946754481,40.53017866406001,35.08327627407259,37.644620916937924,40.73728208531345,38.86756010433881,37.38022558030906,35.92863438052354,38.74803511423476,41.03465745155187,38.645668103013705,41.64024652344078,45.100722010660576,47.014380140984606,48.47370794997631,43.909154279231444,48.31487462989822,50.54677436192665,46.93392311727991,47.17251834525032,51.34412871667021,50.39582161563034,46.67568580099954,49.61488893496659,49.9302420587926,48.82277744898161,45.24933452427715,44.27058176451289,41.84562213681054,42.18093950077397,39.031238392904996,40.56496505730933,38.71217370732682,40.54450908103162,43.40179951427457,43.37092453452851,45.46562953309669,50.35805069119758,48.0830661837892,52.60220748796009,50.54769459537585,49.4933465410451,49.35156412021227,46.72939426861992,47.88888234690752,45.70740569903102,41.303848888295896,42.845758938459156,43.393481644879515,47.55920375394442,45.711131366390745,51.43658487448309,49.07945276191289,52.19794421956534,50.864005811636346,51.05785406706923,47.40898163238815,49.194315092575486,45.744392718625456,48.69526268778194,47.81894549802494,51.76979099688296,49.31102645311532,49.5080472163517,47.491186627190736,46.51959035601274,45.732949516637355,42.643920930425864,45.22240492064534,42.333044470252815,40.40506891673353,42.40785384429083,39.28720489560616,37.11990907116575,36.6064098720378,32.89967717092706,33.533260186398124,29.77699481874606,31.02823187979522,26.916255278301406,30.423644468074862,33.77041642370577,31.60830383439454,32.321160670888155,27.923206919452333,29.45969031658443,31.801325602448113,30.107350430847028,34.384220862379536,33.49315703832554,35.168405999818376,37.60410788292929,34.84851245648004,38.650241267153426,36.038461860292074,39.37592286703034,33.51245482208662,31.74987061845403,28.70801387135131,26.523619992399627,24.043255141021064,26.292059629823243,22.18683784869864,24.175033279294063,27.628192619233687,28.368396161888818,31.816389264319195,34.3722436615603,32.74280171384533,36.240532604084585,37.91593373233136,39.24983516629198,42.34937228550615,44.80996469549631,49.43677628613117,52.245819921099375,51.6305413851472,49.46131980060705,45.70629119424577,45.28506535922441,43.24257964975576,41.45708981627598,36.674029137771875,37.44866512144814,31.72985082827581,34.853474989204265,31.556976625479848,26.135648404352487,29.108274097911863,26.53251971223593,26.281805933157376,24.620319267715086,27.885112415722137,28.363013620160345,33.03752510461151,36.534885329798435,39.45452830915866,43.22091956579974,43.20705077741178,47.4798422482002,43.503601922782345,44.74754707457149,39.52670103858047,40.441466496253625,40.53823232713515,39.95222984953782,36.833461804604624,37.99977168000376,36.99739678373753,37.82405962623399,33.544029085174316,35.213877021498035,34.367129523544854,35.23735663148994,33.98805208459831,33.776206505989805,35.487657035010876,36.201179564169124,33.78984103855869,37.50588961567999,37.40558463719645,39.217892534126825,42.736488442508865,44.232692439439106,40.53295439319032,40.25957794346235,44.72317437213185,43.274147409045696,38.37378909405247,42.71990181467536,47.34783757615538,42.8247538994969,42.648512976275235,46.65548254366478,46.323186604992955,42.72368216008821,45.12617945414968,42.58907315276559,48.2036262860467,43.08139733011208,44.48257821666346,48.696838680252824,50.567371153142396,55.17106433199536,54.82324939795591,56.826367320771624,53.993527539710186,55.48866571442237,52.95725217892159,54.57005680529518,53.50195864879067,47.80969648955796,49.2994352524958,50.31466406391457,46.37208719583784,44.072128799014536,44.62142258945441,43.39341506008807,40.766963409944886,38.21262489663557,39.90066597073486,42.62091758205771,46.29223869511257,48.567990203145,51.29364133571276,55.59627558612748,53.07427358781144,48.987628915929605,53.185762120586695,54.564029338448016,49.77127591544402,49.29623300350676,53.315577061375606,52.54046531000166,49.237601421344465,53.268741543596896,55.30517967308056,52.015200346058364,51.88201249468796,55.18366062536168,52.581231366791805,54.126327015881635,51.9480878306735,53.88076812065259,53.356543120815395,48.00016627934174,48.99834566405339,49.806666002053746,47.364132456475836,43.91218707181162,47.7385840075966,46.79217279242533,41.76633072272647,41.36298485476177,44.90028205907502,43.08264050471381,39.44856350726452,36.89764838918268,37.70064400167098,35.177171895826156,39.52432669422203,36.17308006827164,37.95170269084702,37.28888743248453,33.75121726804138,32.7488473509176,31.916048992684185,31.701364147434138,35.76133499788406,33.9687931830192,35.77100644715168,34.081671237571356,37.58738234311249,42.02773440206265,45.30638221423933,45.348698452238075,40.44657938454674,43.15602800090823,45.83274918542821,41.26329047975884,40.985114069831035,46.041622004190614,46.992761803087326,47.5301439363849,47.69553865941982,50.085739589443165],[39.71069129568004,36.99157727268418,35.071614007444126,31.0075819583984,30.335397327942164,35.0620823999379,34.751161823244075,39.12342951639911,38.83045016286435,36.88136898953373,39.87258316394722,43.51226021725019,39.383061740652046,37.29620682366667,41.53789953571738,42.02296008829919,37.440726966187626,39.258690014325765,36.994710157867424,39.00940818112884,39.5587694143189,41.288460104597924,40.11876181045632,36.864835008632774,36.03751886342845,34.42763231938688,34.478189178377654,34.17053694259305,38.322022274650074,41.2511097898663,45.289182442396,46.48734251242891,50.72346946206616,51.86460621586717,48.45463709945093,44.55896747889113,44.68541912043625,40.50428436653237,37.948673800633316,41.022706351143086,35.786737362992945,38.64353060912758,41.83559001421678,39.85885380999238,38.675874921491996,37.22806659043799,40.22678478234448,42.29107311130028,39.63065818455803,42.729945468015124,46.19670705688655,47.898816025953764,49.409622032136085,44.84023306875245,49.05363651031199,51.57563943739575,48.14414268861967,48.16678147875475,52.394529777980715,51.74371358263356,48.054027630492726,51.02634745418026,51.15508807006676,50.40956654649803,46.78498621015664,45.48750030691141,43.19367727619615,43.191249212498214,40.1517288860425,41.367047160853865,39.66897631933377,41.71499520435678,44.47643489483178,44.711731143100444,46.4759217235321,51.57001345129893,49.169477005234654,53.576692964344446,51.42028222801924,50.40150639333978,49.895853754230146,47.21564196832456,47.97661031967917,45.73403604797734,41.415960487208935,43.015313662567706,43.95210631284912,47.89458845927171,46.418630085562675,52.07388218409106,49.83054888179534,53.12687164627956,51.569695209375986,51.490103658182285,47.64630241980407,49.42819281674261,45.7956198341742,48.57483503651438,47.41428932989651,51.05966888462948,48.8750915013665,48.65201797749833,46.95061847984731,45.549885477913776,44.77801845886194,41.384032757161876,43.71189772790738,40.681493211493446,38.533646310006176,40.74503661530926,37.558260868066874,35.811924039581776,35.39056992626276,31.92166686336851,33.00553495257441,29.40462164504983,31.121272013546147,27.314114337147377,31.37902681540223,34.34391570422124,32.054249524863366,32.36250192872876,27.752549057451304,28.849506946730543,30.780883156914406,28.850961978221367,32.594301571404905,31.93258368706881,33.43253748914368,36.148624244867825,33.00908975156241,36.853977891176385,34.53774225261318,38.09929314619746,32.21257549958324,30.52888136516065,26.964996831414894,25.30819177570762,23.148260492239032,25.84685134215704,22.378041399423992,24.927979046352643,28.278211949035693,28.552702053612848,32.126517931942196,34.455374394186094,32.55162782119725,35.799286557026704,37.13598012091311,38.29290921315049,41.10206763896798,43.60846421256247,48.15410404616392,50.905548409944934,50.599423113548525,48.518341352939544,44.91173459086572,44.3039372099297,42.627142790567504,40.52262250277565,35.933003550159675,37.22284478184734,31.467589542933773,34.82778680660995,31.385804316115955,25.842713330407026,28.465664479424714,25.945090251587473,25.117169726716284,23.582550562226128,26.775739451589082,27.557994586295603,32.44495753534375,35.98082337821997,39.04029676293858,42.67975156166026,42.868105032260104,47.14945761927669,43.297238814383654,44.30438487436167,39.10357198475966,39.54239600889851,39.66707701590121,39.179211117020834,36.18476598618591,37.905228247593726,37.23188969584215,38.228686362251544,34.04713617209311,35.29009383872452,34.221006143574556,34.81494653732004,33.13772869221098,32.596243666480184,34.02243876469027,34.37743640179688,31.770598252512947,35.33269672452691,34.94272483459113,36.95147371174782,40.19808247881741,41.85129862799859,38.19010270832058,37.564660344846246,42.01582687952572,40.70073342316504,35.58440741271299,39.79794336012963,44.582410409218355,40.085776961267335,39.70266202244859,43.68836345549371,43.565090920880884,39.86902190316057,42.04704767078094,39.43653485792314,45.01627392880613,39.70602839013859,41.26300616152315,45.47297273107291,47.30435780646656,51.92412394810082,51.59024448007218,53.74727016008813,51.035670136363386,52.68183982885014,50.33679864138314,51.94528209105591,50.662028638806675,45.03863266272524,46.73641990829725,47.622163593396245,43.54727380179158,41.4255199047496,42.1438789818622,40.62259461813844,37.889163792592456,35.747280835974586,37.247353590082795,40.3708960726108,43.961887865099015,46.09754471589249,49.02810179737555,53.25483683816368,50.95480879703984,46.71124287637289,50.72149371210799,52.29903859008176,47.563440119809364,46.8136138835578,50.846374699468036,50.149710777935034,46.691124467559604,50.57869250530516,52.6788906191653,49.41844806842096,49.06041213889723,52.30090771177334,49.641330292174665,51.252299190960095,49.209586181161285,51.04414512970981,50.33825886955085,45.05688727458866,46.123992205960405,46.7300465270309,44.23461917259796,40.91987746884543,44.677364072419316,43.518814256562116,38.54297052647692,38.29000580570968,41.68415918533121,39.703784027900525,36.089252796940116,33.54975981834483,34.1749181382324,31.63380703912516,36.03177844316615,32.827189471801134,34.78831015327885,34.349899186382004,30.63405445505493,29.61883929406197,28.617746115919598,28.590911904768696,32.792766451095034,31.364845877329945,33.39098642276129,31.968734345516637,35.26571378320875,39.91749675754945,43.08800415692491,43.44224203159216,38.41359222089238,40.8369563728404,43.73826254726371,39.418402234940906,38.780719330426386,43.884084341984504,45.096895106307585,45.85983168965399,46.23818435342615,48.745113664048674],[40.01058951914719,37.5597240978212,36.16858518845804,32.007305361995094,32.10093252121782,36.55676277795753,36.58896113207966,41.084166232315894,40.54260917456066,38.82496949492678,41.74953668430947,45.50938950991781,41.71925919359741,39.32439762865734,43.73391810578285,44.488467211696644,40.037159142009514,41.9639352292508,39.76519621681581,42.10069609605031,42.66695548747116,44.64899752196307,43.367342176848,40.16173643191395,39.4440765227434,37.590746825624755,37.76209208449792,37.22699370809609,41.272789559988425,44.12067526130375,47.89934600297138,49.22701162948533,53.389301504333915,54.689673042314304,51.43270192342757,47.58397919275505,47.80884815862457,43.83403055085428,41.43265116499642,44.7997730652274,39.52310046499363,42.14654521677378,45.48806671971004,43.662283264664296,42.490038404662066,41.14227164482623,44.1144763267823,46.17878039380841,43.63324529998005,46.79321934349742,50.21270562366502,51.9528078138443,53.4016334165331,48.75756273710238,52.92935811980691,55.45066205675117,51.9391798093968,51.85805121983134,56.09342877406772,55.470213288349385,51.61642812954168,54.39988480899228,54.39967482307013,53.55202182768926,50.08764925132755,48.76605531868296,46.12532862445557,46.01128031022589,42.67913103261894,43.68477390811968,41.822955429444484,43.6490306093841,46.6783390394143,47.17352626424332,49.088267262203004,54.31423965720482,52.20263536447946,56.61138843230467,54.645931611760155,53.8368768230966,53.36890755607651,50.87143520764832,51.539624346326036,49.45845250530372,45.14083138767741,46.528260373320116,47.41928135412999,51.23054697195108,49.61884462439983,55.127605712757415,52.68006471730031,55.81555226284318,54.111730772618195,53.981601902053086,50.034108396519905,51.56578501114898,47.83081603456205,50.926263706016215,49.71516400259532,53.33093958908417,51.529770116273156,51.33530284826575,49.93679684006365,48.496962737813746,48.049391518307424,44.42564714033763,46.748260412048175,43.76472476357091,41.326199938324024,43.49834420572835,40.06277934270855,38.55565789557346,37.800899854399596,34.575342945323754,35.5143116764816,32.0308564851759,33.87158826772862,30.152905296244022,34.17078881178886,36.96317196735006,34.41721274647559,34.593629997149804,29.97189035808387,31.05811251722188,32.84051580133005,31.32597836094072,34.75194342448783,34.6096767206698,36.21292240924897,39.271686874678274,36.058944139917664,40.03248378549715,37.99656657705554,41.55527376175353,35.66004829461988,33.781288882726066,30.010311557856998,28.447383115918385,26.1862312491812,29.095961244418877,25.68894775793553,28.477674041870188,31.58524061627247,31.83430064768363,35.57817616680659,37.66004276469761,35.6215453602586,38.675392377184174,39.96838346188481,40.74896448441745,43.542082689380806,45.733560032325784,50.39267377811329,52.76048497276042,52.63119434291256,50.83790374635796,47.32094365842429,46.90287811477302,45.38697450491982,43.46229316130544,39.12904965695534,40.51829331602644,34.893250076169245,38.45119045999993,35.221178576468,29.69596837154367,32.36725948208074,29.984270173542317,28.92643855779951,27.292363710209102,30.398607810428448,31.0933755931894,36.08953286648371,39.5444434530755,42.52676297599496,46.05433326291983,46.06915730063831,50.53952512036216,46.86511094927389,47.89408206661671,42.82269724401161,42.97311396248126,43.35685278742736,43.01713818554017,40.02383079443784,41.87437335161067,41.14136119481318,42.283512433649136,38.15713893299667,39.422223407391435,38.36677660105542,38.854807298659416,37.07833720892462,36.3694996161087,37.63777937110787,37.77491511956945,34.9413887661366,38.32356056875088,37.55278114106974,39.56672308850339,42.566297267380016,44.178701936753214,40.468020327636644,39.56509097481191,43.929040432760864,42.49125930563096,37.11697222823026,41.25104304092051,46.06678994441416,41.29417093994897,40.68022236685899,44.61401729533996,44.481929268873046,40.49677044798172,42.49800205000824,40.022458636744716,45.6265680393373,40.36064006758096,42.29386229184671,46.46657123986231,48.49026365117779,53.018718702776205,52.95852305326934,55.38173527705205,52.90541251687844,54.808776043123416,52.670602739000344,54.39794271012908,52.84253151287392,47.27572516611772,49.28332192288284,50.09175267056759,45.83903489484519,43.94050950738927,44.91062103593809,43.053099624568986,40.15307275991333,38.54933704488536,39.68887314628779,43.202914110383055,46.72025305883855,48.577012401357045,51.657526801717516,55.72685852537221,53.550882077371206,49.19410172717746,52.90405325633267,54.547886602622754,49.814196575360356,48.787434788501216,52.66676086059729,51.87201241822439,48.262951126117535,52.11261113642318,54.07974608223951,50.62088864701249,50.20250156237963,53.48856004510373,50.917717812955125,52.80656695266314,51.04844202006862,52.91784585676344,51.83886865001256,46.611008566627504,48.01472055540643,48.349517462039465,45.66830329756549,42.70433783237432,46.49689514088508,44.904445592346875,39.96961913348276,40.14707294935164,43.31838018036814,40.944434621337166,37.35859223538148,34.65974665108462,34.95357523824042,32.113013278707555,36.461940495255284,33.33432400965566,35.7397340278319,35.254931405389414,31.225345489764383,30.61384011071816,29.647353108250535,30.140018293403656,34.52924183014264,33.3592108434913,35.796880580861355,34.308335966258426,37.16872670326679,42.07159752676502,45.03794826901936,45.50683945890215,40.32754618019532,42.3758364567512,45.268238709251726,41.093874004322934,39.97244290371863,44.944678130674134,46.38458146122275,47.24568215936188,47.84325192806276,50.30002687137082],[36.73457069232095,34.492156722951364,33.53627582896382,29.241083380228588,30.011693197159328,34.109547378303034,34.45298081219496,39.02829388708822,38.29887993339403,36.89554134413041,39.79876589165684,43.5908287942649,40.215102076748366,37.63403614049661,42.255534951312804,43.238735381946064,39.018033252377876,41.2480040313037,39.4333424345718,42.026129880679164,42.89302627172802,45.23523653032343,44.085883988121395,41.08511071249772,40.16086203351835,37.884059261426415,37.901613089958346,36.905225411663,40.721185142117264,43.31151251983909,46.952462576409026,48.209852307868026,52.316155718355105,53.925400287889495,50.80939353794933,47.11961326019273,47.28941367769642,43.768191933044484,41.57892214121347,45.41524139041232,40.228849787638616,42.65056550460843,46.25991540402544,44.63999512359124,43.762675641308505,42.68941709814457,45.77138615397072,47.546910528991965,45.09588857885447,48.511785643354216,51.71423495681449,53.375674564770044,54.67430495228148,49.88221758294074,53.81210342784346,56.51399762868401,53.004462379323904,52.57357081453221,56.84418068668729,56.513484360380495,52.42749093192155,54.94834585433535,54.62819037883306,53.963952788332826,50.676605340359586,49.06887437328286,46.14853607213688,45.667679573537974,42.163222845461384,42.75056282117891,40.87673659816495,42.6668181304047,45.80627473372765,46.72252363636312,48.51284147786425,53.97700530062335,52.092040156904204,56.39693653719375,54.601040393073475,54.093672280636184,53.467550957283,51.233040557552194,51.587700027843646,49.76934306594833,45.50874525803628,46.562954166262756,47.55866503161507,51.05243193573057,49.47515083555856,54.73227220869231,52.14406482929241,55.21063445716098,53.23259031091237,52.89690185286724,48.77854722439336,50.07562477238922,46.19177111911004,49.46705225627741,48.111367677618894,51.5881972850211,50.259608824228145,50.00943525616769,49.03295800754229,47.50167614752779,47.51892294984559,43.60448623934262,45.968640761256395,43.14467521146717,40.34949800551452,42.36200789283541,38.63639048895618,37.38318664468383,36.24706959433143,33.354872904779825,34.221093698158555,30.965436229042776,33.086976433058204,29.681352704353863,33.90846308785613,36.24635614438524,33.42892550425363,33.27244038577337,28.630286157159546,29.518363541768334,31.022310943881415,29.92864230341669,32.97964370943808,33.422221740300564,35.19450035613986,38.66139740931831,35.537003380816365,39.722600147880065,38.088997339179045,41.47652270154393,35.608948407969876,33.37210962131935,29.473523911612865,27.940428667148634,25.598282527254003,28.79901185793951,25.775888011400788,29.102199431252338,31.756661408871633,31.73582703498655,35.69938418127494,37.33176943676908,35.05524834187821,37.76423663580129,38.918373707529135,39.24088843089865,41.9649925790793,43.8136936382757,48.55272522691354,50.53051994255744,50.60093933314177,49.11100972043354,45.73591447158138,45.49551674583369,44.23266471985746,42.49531278273499,38.56075786428778,40.169416226808146,34.785933833323035,38.66690163872504,35.822361696227574,30.39465949826652,33.16358759673893,31.247967075340185,29.774102234938923,27.789227679248196,30.685908271854714,31.147381403361095,36.2752250364285,39.5532952663536,42.39655298757239,45.70597508213798,45.51284516533575,50.218115648664124,46.869012794100506,47.89176420434531,43.09624954589956,42.73285815795956,43.61946496362364,43.62524262674181,40.602812514911385,42.727898442638754,41.938338007573314,43.49044656194773,39.63288659479329,40.85503498046227,39.93566522211913,40.02820712513811,38.15466552508719,37.114659374604614,38.18466220445107,38.167641523471346,34.8994706690389,38.04476370539587,36.82951166739788,38.5972364873236,41.461913988590396,42.824890049104305,39.024435989444164,38.05456586128635,42.2889910207154,40.56584263006325,35.09094204142236,39.25054799150266,43.92225357034977,38.84983902691839,38.179307454634845,42.067520598105894,41.76051360455631,37.61014601848874,39.64473031647406,37.37398780607228,43.024102326827936,38.13773289334172,40.20318221008521,44.32741562775731,46.70666166371968,51.06377727749232,51.4161272920987,53.918992045070866,51.607224633085714,53.707896228275985,51.627362347608035,53.672294210799166,51.98456719758986,46.33523955075589,48.64126220481916,49.67307427193361,45.26338625776591,43.42494657068597,44.78843158420522,42.88831428847506,39.664781835235146,38.41036308425291,38.94732295880574,42.648997114397076,46.12542522533479,47.58584040106494,50.686501501959526,54.54497829079628,52.37619494907102,47.97957571480956,51.3827869371773,52.95440620189381,48.200845776054855,46.999377557670506,50.663515430593904,49.70988734110012,46.039806623278764,49.940592448054566,51.707728460380096,48.04268067778694,47.72220823311411,51.102609845828376,48.69668894714163,50.84778881995537,49.32052600109724,51.380009488965946,50.017382253128936,44.75684233446325,46.574241400541744,46.84460531905253,43.9643810640539,41.309873170764696,45.38220657351752,43.538396233221356,38.495247758026274,39.14609400820827,42.41430639466223,39.75189759906911,36.075536333478915,33.00030244877277,33.46681736812673,30.204301643867076,34.30017065709722,30.9293578329525,33.48915745796328,32.70675624602134,28.59394326790496,28.398757633421177,27.763032539487575,28.612328431398886,33.019773296321176,31.778287726838,34.602540272298604,32.85415002343589,35.251272507337454,40.32211049484934,43.07705598294307,43.56713797538427,38.289404103755366,40.028939145352744,42.82662877630154,38.77443007966152,37.28154957013351,42.10456701075256,43.689192290931125,44.61931840023212,45.410312118460844,47.82893260709969],[38.63704319616738,36.506352531196235,35.71535574116662,31.82704597312246,32.81122668564682,37.14349298016143,37.83276586325252,42.45382078354741,41.93070502775694,40.79969355868565,43.79292037570914,47.49740089093773,44.24226034809162,41.77729456073844,46.47565681179987,47.42435697790525,43.246785795070736,45.57800799285189,43.82665601423971,46.32020694730509,47.20321326589279,49.42848639526821,48.29584667211475,45.22762240828314,44.307260868105125,42.158176113710375,42.09307645481773,41.124254105793305,44.93972902837524,47.44106529883986,51.25037515217631,52.332941573660776,56.49170174599441,58.18191289448353,54.99942108375291,51.346222632915726,51.35532093637159,47.86816755733727,45.576838757768,49.2041213414571,44.098498000785355,46.748300593056825,50.258768631216356,48.478324606423385,47.554475246712194,46.29409789587075,49.37148640170488,51.25617983377295,48.60162504916778,51.877568131571586,55.250096290476634,56.847491421033695,58.277430043264445,53.5895917714119,57.55923046759095,60.30084221029886,56.881866679416774,56.54697516424708,60.816656035928155,60.45412274731552,56.50723224873432,59.156823984423596,58.90251684161835,58.26755281199491,54.90391665326057,53.31897172122169,50.524387969770224,50.055040890696326,46.60892775710734,47.177623933670475,45.33106729517762,47.128942025612325,50.265281052677786,51.18329619818729,52.937428936380336,58.39838648104036,56.43409661337217,60.727438694086416,58.8466496787752,58.24117411262384,57.51184843640122,55.13132782481729,55.39714437616974,53.41417821635001,49.2014916331042,50.45122170096297,51.609519796568605,55.10575352391226,53.6969217995389,58.99056466941001,56.484189362501255,59.611917417059374,57.61173249434578,57.209763969687884,53.04589895993613,54.34527483496644,50.40682258704393,53.59204615703884,52.10492387990286,55.38668876196991,54.179893839155845,53.648004543305134,52.79939091097092,50.97454283284667,50.82461149398525,46.78987648732782,48.8568461523482,45.83673884360228,42.988807125975875,45.27240206397492,41.61784169242794,40.72122849233442,39.77152477178922,37.031393786657105,38.20338769921442,35.02499351088126,37.29411474067525,33.95740134030578,38.28431130546856,40.60547244471682,37.80082899315813,37.54203724417758,32.85554682273695,33.54109969940295,34.79754768037239,33.48280768327378,36.06321803872583,36.588728616385154,38.09097867041884,41.62489121110911,38.08724511261076,42.12738622840832,40.623413999959496,44.305237306654874,38.49015672284602,36.55590647193197,32.28385239548262,31.28262475612466,29.272001515408522,32.600170010945604,29.798324124538652,33.089566438338665,35.89776304309359,35.77800994831376,39.684580940566555,41.36903389952102,39.040169168955835,41.68018755196561,42.63281420994684,42.92583644829745,45.40286097485016,47.31863860053949,51.94199434008511,53.87878535697811,54.194478801572586,52.75834676607217,49.49556986220627,49.08651432841219,48.04626587153016,46.03110310894584,42.1445108295957,44.01360964928076,38.550380952404716,42.393918865018804,39.26147637850028,33.754448712625525,36.14846997267308,33.95969636323127,32.31869841092533,30.751054607532893,33.64673578660757,34.49235059447899,39.64009953198262,43.00694388313475,45.99920516114103,49.28782464624906,49.32499618417294,53.915269007560894,50.525429944513014,51.367804318618184,46.47425661269404,45.99571698313155,46.6141900151853,46.48160040211421,43.62755732959914,45.99651510959944,45.479136940852825,46.85881095638762,42.880380635603075,43.83210028228413,42.6287929472169,42.81387364354552,40.64895462933236,39.55301299451155,40.434191649575986,40.08313001306466,36.94807408893576,39.95776228032827,38.59792469982035,40.74986150982814,43.2102350019687,44.90079403592998,41.24954498211218,39.7719730291779,43.95363423302514,42.551755609397134,36.83207442816425,40.66491429862525,45.579379356259466,40.64364329938317,39.60083041602772,43.38874613986959,43.46073657433742,39.15376325083375,40.70107613806175,38.336129998463235,43.8351427028386,38.506902997406,40.95985538040223,45.02123886296938,47.17301600414554,51.5699643649545,51.79973051403953,54.611490287053726,52.51467346152154,54.790589005527885,53.0520138065416,54.86818956764948,52.868455120482224,47.49727805059147,49.96514128795892,50.569455405450405,46.08509857443898,44.598382983721706,45.944070281902626,43.53285441434513,40.42964941115058,39.74816611927919,40.35335381876994,44.52937777222552,47.85021635640613,49.290707828683395,52.65863427246196,56.46384030938761,54.63178970438347,50.08116698277256,53.28484970945409,55.15860381861639,50.539276286279026,49.006792006524165,52.699360706327944,51.89508672292904,48.040830860978204,51.66144869140668,53.53591187971239,49.95424003786341,49.259261392340484,52.48909553040503,49.98204916655668,52.18785755712095,50.861925117895645,52.64735458583087,51.03781030527714,46.009945688771424,47.79067560863535,47.65673353264868,44.777811659834384,42.35027327373122,46.04609747871049,43.83548532549856,39.08319640458377,39.837996494018846,42.58539146521269,39.69251819752452,36.23283949043887,33.44640242136562,33.19416345150795,30.082850621842255,34.31952957740902,31.51426337516893,34.521612969948514,34.23290953311866,29.805929171010668,29.63048370594419,28.560269324073587,29.765472436503988,34.34042859997729,33.80742857401297,36.77196617795991,35.50567605763695,37.69151727166599,42.920833248219715,45.54140632655308,46.400856970800525,41.058971838551116,42.43915455451617,45.485366797974,41.76099323673443,39.85783783454495,44.6520047081994,46.54047915282301,47.694121991569794,48.687055625217,51.171912906391356],[39.96758657165074,37.47597155742756,36.00191266618054,32.3531207034447,32.40407766657186,37.29799636294585,37.67466793340061,42.21166924546826,42.08123140518531,40.7064279847035,43.836545654027034,47.40550718422439,43.697886586723456,41.6239764930065,46.15290293141977,46.75254546160103,42.36686408355477,44.54888301270336,42.63179805027293,44.70267233434541,45.48116321562757,47.299163498719125,46.23808351254842,43.03054961873156,42.07670736621045,40.34422443375966,40.175943312164904,39.57245001264443,43.57218944190545,46.205193682799184,50.39895263285508,51.3087626046888,55.59605190900966,57.06106473619413,53.64351210180135,49.89889090246757,49.75974549817828,45.934538042433516,43.379268090150546,46.47686298453854,41.430977557297055,44.46794430691119,47.70141808504786,45.63738353623639,44.58719552558995,43.054044415492626,46.10692201628883,48.134312191271746,45.24839230654093,48.302116099903,51.86786451112457,53.419785944543065,55.024403478159655,50.52046391805359,54.619163255550305,57.31382813992311,54.02250209259448,53.95117477331714,58.193636007841995,57.69132574704444,54.0517665809562,57.02787210843736,57.03782430606216,56.451441047488814,52.841090061332544,51.3851749264865,49.068165075396166,48.83169346525565,45.73605275037733,46.640265373893065,44.954882335200125,46.98900242395349,49.84684887880585,50.37485368468573,52.01651540510504,57.279386896739496,54.918561116517196,59.246044043524655,57.08111313074525,56.125437301155145,55.365721676128615,52.651714081974625,53.06986425393994,50.763995636960615,46.556475046247435,48.212449477035925,49.456968803430044,53.188407012484674,51.97457089249679,57.51908738136413,55.29223169945033,58.63374389985517,56.858578817243625,56.549910075249244,52.51304363251583,54.14815731539083,50.32058105945711,53.110336034107824,51.66302134096171,54.959790429496806,53.24753002998227,52.583924635594464,51.339233332077214,49.44845998197034,48.73966119847072,44.962793213051185,46.89346967855706,43.66473879797053,41.192422083119624,43.70954056312754,40.412952905984376,39.34311341902926,38.924341275840966,35.879415918757935,37.357260950082775,34.00099441459578,36.14921784242375,32.646960508251816,37.02042922587003,39.647498972264955,37.15573046102534,37.083302322803675,32.34471118244381,33.02844321745961,34.43299327168549,32.470041371993624,35.315075791413314,35.17058269864974,36.40368089465061,39.517094735701534,35.80142765612815,39.59574076606904,37.73662722979392,41.63804222990784,35.82830719931535,34.33690226780121,30.0875513989657,29.2440389550771,27.496153070448955,30.633415814780637,27.772273615716475,30.693547840450847,33.91982583913471,33.85312158172461,37.51682180492074,39.59711339134064,37.436809140354725,40.35215335293,41.30761084941143,42.11196224425364,44.5410690939949,46.93485685108114,51.39681168280153,53.860788534067126,54.02322381709837,52.20167708782391,48.828324982424945,48.094584749154855,46.898694862554365,44.510467048705884,40.2474940596721,42.07843634224635,36.36643062408691,39.9115495332653,36.31939063861536,30.734575441044907,32.84885241631836,30.251249189764675,28.843726051999983,27.697479949861584,30.73957593189474,31.938591139893525,36.96430872158338,40.51176002764373,43.69934109371048,47.164610131018364,47.547198401901426,51.829553350338614,48.134115366453095,48.87211818398171,43.71085770257062,43.62301902569931,43.69245870477598,43.232478976332125,40.47204315981721,42.75536102975444,42.45226096180854,43.47470281734657,39.30909692266796,40.10270726592544,38.69622604657369,39.15379137647513,36.958037777222614,36.09643716003645,37.09652230801927,36.83525570597146,34.1220080751017,37.34858870781824,36.4534364520017,38.88872300030945,41.48826878169524,43.4749491939266,39.94352019743546,38.540355734694714,42.88110901889962,41.84182711394449,36.26564512009009,40.08298927272882,45.168874643210216,40.65179968933074,39.720498029411075,43.58365142271286,43.88368051248909,39.84884156451916,41.411263939758804,38.75070241381321,44.20282505682692,38.438379309651026,40.60389738198206,44.74004095406803,46.45814806541626,51.0746444582508,50.78627502084273,53.42703113447075,51.088564868519136,53.10158249463106,51.26355261619702,52.73716169823991,50.92563759046986,45.617118353193135,47.73412127997778,48.139103278380645,43.83833787129626,42.245614628947116,43.18003473997604,40.87337426525153,38.09929191433849,36.994617238317346,38.23537980544617,42.19677170082346,45.55497269183772,47.43353719517367,50.77804404222647,54.821328576007,52.99912939784592,48.48781732393999,52.05231902904889,54.0250622269996,49.443073207861104,48.11403733153091,52.08739939884634,51.504587797426936,47.72941397313203,51.281449981980074,53.43273160147566,50.152061702342905,49.32928428461713,52.435114034303425,49.70747052201121,51.54717526814924,49.9024909364699,51.46972698910488,50.25804823110817,45.24542091389071,46.50105386396148,46.50733633496604,43.886126291619,41.031898493361844,44.445433829103315,42.62730794169368,37.950034221987856,38.103230753761636,40.846874455394044,38.371604818008464,34.96816248008608,32.59675929121765,32.33336261657596,29.755177843103866,34.28560555164319,31.671339479301484,34.34761245134445,34.418341006684585,30.169646937955836,29.387723293693266,27.945860541175133,28.622324523532644,33.143418842744374,32.67077914887324,35.17432657318388,34.2702315657199,37.000849237662194,42.031489184383645,44.905914743396536,45.800261924413114,40.575682589870866,42.32603451156674,45.54540655796723,41.720168581311285,40.27436234638501,45.303943447962176,47.03297067069857,48.154370881351525,48.936104869792196,51.52918193491717],[34.65678273876838,32.032612991971654,30.3883585453152,26.662909775512176,26.608283748023606,31.505349204009846,31.901095230857617,36.446199209803105,36.420258162453486,35.201726473659804,38.430847603967756,41.89285002146992,38.310787139837956,36.390171033915884,41.03090395631032,41.596748370588664,37.35426562775174,39.85438617929135,38.40680339820443,40.435687876314596,41.62873568550639,43.64439282363809,42.91079858922494,39.93114769060872,38.54780897972428,36.50990213937676,35.95605629821804,34.96372601452497,38.77963884819573,41.14349022279588,45.5124473915811,46.137656121643516,50.461788758917926,52.16981842124196,48.74195826823046,45.15875488362757,44.79638811337908,41.3596515308002,38.902316687632045,42.315958824733706,37.45462144076855,40.50763512239569,43.94373204993801,41.98272625368207,41.34632911351062,40.08188210878837,43.323177302870526,44.93359395347794,42.038470978292004,45.38664009623955,48.70227196497999,50.090584762825564,51.56409424592107,46.93689764900074,50.73867268387651,53.697704449115555,50.50911567534465,50.066048128913415,54.350367697995736,54.23197548533923,50.46668691371184,53.30689035617808,53.02679802947748,52.82743943941651,49.26524542350435,47.43196928673559,45.15572529170062,44.53950060963796,41.571030669099216,42.15491436498447,40.662729113972574,42.93563279045935,45.60828420142194,46.39405850534786,47.669460008868846,53.106831152204485,50.69339456066278,54.87627549938954,52.70299432555303,51.90798879286886,50.86520313826306,48.2891942187176,48.359448784758314,46.216777902301544,42.084576758446545,43.538264506277564,45.01210389078371,48.45705073271172,47.477224192425446,52.86066982676005,50.697117872760025,54.156298637782314,52.179265721505175,51.6407881679177,47.48282232462299,49.12199050593796,45.20283201240748,47.82765162098949,46.22239877377904,49.3578073101064,47.813506495201636,47.00166966819595,45.97311286286392,43.96125543992905,43.49174682373898,39.54385445170943,41.53664945308486,38.436156083539885,35.77878070270836,38.16710417510426,34.74074408221453,33.75358424161244,33.24446401315047,30.347419481442717,31.985640854197328,28.78740942866011,31.2343911627587,28.072031705703207,32.85090858259078,35.049000152777445,32.48994536387565,32.094869923913066,27.292374577734726,27.662737302618584,28.833457223703736,26.84008576111208,29.53895869576534,29.561485653613524,30.895504916547978,34.22507655268707,30.644597024432784,34.64220667345527,33.02355573637965,36.73137042461533,30.91388976663934,29.137549173684903,24.827348245136932,23.97877307871599,22.27640829826661,25.670861993880226,23.351599508562717,26.815503537275745,29.691159690264122,29.230735318081578,33.020914706567964,34.761164310018,32.39789768542837,35.06785152603759,35.85481381163081,36.496018292697684,38.838154343623174,41.19516395248239,45.64047594467084,48.08340345750453,48.310884067358856,46.52788370128554,43.22758498479252,42.47226744286657,41.445755287720495,39.04344036395059,35.004607105704125,37.082402094085474,31.516464084026037,35.31711655925329,31.993905234906556,26.49429414463075,28.670703213270063,26.606203026907078,24.772019902497256,23.213111775439373,26.072619316616038,27.086720865427687,32.23266627947115,35.65070447226819,38.76492778265085,42.06756307628936,42.393622498268336,46.786638150210145,43.32321142205932,44.01230221863998,39.064604357177856,38.55988941878477,39.03486554340056,38.90094379099533,36.089787890591424,38.661774362238276,38.36880042121242,39.81690007131766,35.979779877859684,36.66393684872819,35.433898666058035,35.41695477235094,33.1625654999641,31.978443443971898,32.865140255053205,32.62212100810904,29.48484778010778,32.627454892920504,31.53239109983506,33.652197480533395,36.404414200152104,38.120677959067955,34.477789590225115,33.29996852086267,37.64170442502506,36.35433935900471,30.872943057719013,34.89826913876539,39.82129644719544,35.20036231887751,34.48049684742722,38.408505083758726,38.49491267032776,34.57413572379886,36.43957301285478,33.82789534906782,39.390522620292785,34.01257413351585,35.87497383680031,40.05613970274541,42.044069688971604,46.59207151322584,46.52590882752988,48.94499385414443,46.50174206768195,48.477896710550546,46.43203461841861,48.2288344260439,46.567022350038975,41.00052787557866,43.17526638520875,44.020824648632086,39.672170779851825,37.85066795371465,39.0618056858492,37.107966511147765,34.01576548799251,32.7154674787466,33.53425597718108,37.33672343248219,40.7678888193804,42.44821105764763,45.666326280675385,49.64545421075639,47.663242147361345,43.19341885391961,46.74263520809563,48.551151731118736,43.899737649464484,42.66122625539125,46.57791081730956,45.902605298532954,42.196777652570134,45.901586235169745,47.97604271926534,44.648531755953655,44.02420770495864,47.22922840485762,44.582908157017236,46.4381220567613,44.725023171820375,46.533178847353504,45.40211504421261,40.2092967637437,41.62508369461904,41.90367077550711,39.210185815848774,36.28559988241995,40.117723787707874,38.49919181192549,33.52228626857998,33.79336972538477,37.04192778897712,34.64069800830054,30.990110331335412,28.219355965461443,28.696673620573442,25.84979537819223,30.193302018076157,27.049682520942103,29.380106269446323,29.114918463051314,25.07766354359502,24.275867279763187,23.205306285466058,23.702786141681973,28.13127337472456,27.219871959331698,29.810529035594335,28.6341044920717,31.3186656281512,36.34785837001732,39.22384800536499,40.03331499381652,34.79884014121184,36.619813496596095,39.78022470035973,35.912742693611996,34.55699985358046,39.62409783190832,41.28170297149411,42.39576744925749,43.17401435191926,45.80829691187273],[34.37736115696019,32.12269831841761,31.17339259324042,27.60982893737344,28.543199660271867,33.140379913983544,34.09886046522222,38.73246304212729,38.57002246406671,37.798662925009495,40.991090446546856,44.471102547052524,41.37681806916661,39.252703654538834,44.090735345398095,44.903067654317866,40.88911608012561,43.603549873593046,42.37303413853302,44.64800920055194,45.95627069845941,48.200622717571534,47.44585276796831,44.538833122474514,43.16927903428951,40.89904600920721,40.34701644725039,39.07045360365667,42.70730229859935,44.86346487382318,49.063876506710315,49.655851430103354,53.912698493700766,55.88085321278882,52.58968459128555,49.132882442583806,48.74031569279241,45.6419142351494,43.329816497852306,46.9862521677873,42.18566514903511,45.10002365483881,48.66790700933819,46.81091653016088,46.25575265634916,45.065641866055905,48.31591513816364,49.88021883814817,47.00966789608404,50.41274801234129,53.6937000870696,55.04873099411254,56.48555650100289,51.81697169374356,55.515133848151144,58.54861378120026,55.35663111169784,54.76805158424977,59.059805585894495,59.049958639479726,55.16628565020838,57.84492486451516,57.395507169454284,57.21283976182911,53.78799343387491,51.852885443397135,49.31633140857408,48.502894441830286,45.32185661220446,45.60259523638799,44.02152593165938,46.134024389153204,49.00680043813412,50.11639517850511,51.418382417210395,57.01313342903214,54.83831174795159,58.96481513537312,56.944140833863024,56.35366458499371,55.231572492046524,52.813643408605785,52.66560359085154,50.6607374029239,46.59438065727752,47.86935892495489,49.4169740524328,52.6441435075491,51.672389421562066,56.86219160839193,54.56050523674858,57.908911535596815,55.724971017263634,55.03973862231935,50.74193452457173,52.11802673277492,48.06339113394294,50.90484420847542,49.14759292209786,52.082985665789195,51.06060028038941,50.10423917089824,49.52186081569578,47.313755418424286,47.16981189040154,42.92572047761236,44.76118289710979,41.689922787741786,38.68949571416307,41.096016770598965,37.45419643122016,36.9347192965696,36.141409552814316,33.66332165741381,35.29673308125879,32.343746031280425,35.007372894272564,32.07120369184677,36.88003763202343,38.787057460944425,35.98894376449358,35.34105026570673,30.564967103015746,30.75568980631114,31.572670528384368,29.965240668629928,31.993604231852586,32.66928866308076,33.98497551396583,37.699222301791664,33.95250024407535,37.98917324589696,36.80684142688224,40.54241087817596,34.83301316299422,32.96254178470567,28.375936788687856,27.868590866842116,26.248937374307573,29.858564023443456,27.804107042924983,31.507214316292313,34.131502217083415,33.543309664375464,37.456680995649684,38.88938700313795,36.35417492709601,38.706287368160616,39.30527081224539,39.48549265222615,41.63573364479238,43.648199320736495,48.1070229459043,50.08693979942952,50.651117771489865,49.22853781983882,46.13053001258573,45.494398688014314,44.801063830660844,42.47777735069022,38.833704844916845,41.15749100178495,35.786097278245386,39.771953501119384,36.62509849713098,31.199505424286773,33.259015894711304,31.335368402341977,29.196958554091495,27.67320719307941,30.349125580234876,31.372373143421832,36.56869320809797,39.871648161244714,42.922183378723936,46.03116682783509,46.26955679347422,50.792928725509334,47.573546917522414,48.18531718311684,43.417272249595044,42.481208000157864,43.186949259154254,43.21452749512033,40.497135465100854,43.33385355329469,43.101425977375456,44.69561141748105,40.94445607158481,41.516240340522664,40.225188252032424,40.05373551310368,37.59767086039851,36.18035517747942,36.78949266408507,36.18117503672135,32.8369147748477,35.63536101445643,34.02478457608665,36.21435398443442,38.479417468977275,40.21497704391711,36.622330631102606,34.951984958552885,39.093455927965586,37.7819761302135,31.99433232552432,35.740730142952614,40.71487419428524,35.87674254307768,34.7537854811221,38.53756819679626,38.7571859440747,34.48850576819216,35.943704583250835,33.48313449633695,38.968672114180585,33.574304618200685,35.98501398344539,40.05513004757915,42.20965877049391,46.61428629293098,46.86491170420932,49.6638940338472,47.59201243674201,49.92058999244338,48.24244833338233,50.12859600782899,48.06210327835837,42.69095326099676,45.2837930007684,45.94057374701716,41.3945397490677,39.96403229981995,41.50124820088389,39.0436548075379,35.78916401386941,35.34879589552757,35.673859990913364,40.03711150176592,43.27988947997852,44.56577094751842,48.012521539740554,51.73346685564157,50.03433484069995,45.42201101805924,48.49153142915461,50.46616478288255,45.914822732755326,44.23425326860507,47.93531661933401,47.20897274728867,43.29293044144775,46.81252474971727,48.753399099073505,45.26083676675069,44.428487529177076,47.606694979673556,45.05379449041149,47.243987926478766,45.957408838966856,47.71361142594912,46.06159644828159,41.05511057388039,42.86797367089961,42.69997863309666,39.80114877220851,37.42429269226353,41.16930510502991,38.93268960041175,34.138161650502624,35.00101932365829,37.815543911349316,34.88434876789219,31.365116907666533,28.48683293348889,28.383760693210363,25.20627248709263,29.43778027788163,26.587262461564073,29.57137423887967,29.425742846249417,24.96996730033139,24.703740249883104,23.57970521543426,24.853817806389383,29.444188027313587,29.107539266498506,32.196915699619275,31.141085875015005,33.148055058659786,38.45130254908376,40.986425059432385,42.08069644737243,36.71920762504643,37.91651213290257,41.1414294853074,37.65102356214348,35.57098173984638,40.421281693932194,42.46338608042441,43.79567375516517,44.915361173820536,47.52030025834642],[36.81423648850856,34.380696977292736,33.02022135856978,29.99700331282272,30.342441852798455,35.490738219348685,36.44926858248615,41.01763259982588,41.29654913521971,40.53745132330103,43.87725441129001,47.182859659985105,43.85633175189996,42.10457234098836,46.859020205439265,47.39351119876063,43.275747029137435,45.953676642901044,44.66516204096857,46.570492129559625,47.83077871782623,49.713714550123896,49.03896440968722,46.00658619806021,44.59814348395308,42.697147918069824,42.002402737047795,40.99118749878089,44.739895371861145,46.911389704220056,51.50072699813666,51.83375982412256,56.21222365205267,58.081489507003354,54.579459265165724,51.09825269797826,50.47489175319984,47.18661737955241,44.62571189617958,47.75386357009652,43.08824530687258,46.43099916963855,49.73328327293722,47.5694081704219,46.92038051533613,45.42200147473878,48.654091943085426,50.36416056726745,47.184982499395716,50.33377012969384,53.8516781269466,55.106475615561884,56.755812731601054,52.30458471652746,56.090219661731226,59.13151035562574,56.11539378794303,55.76225095486356,60.02619089003592,59.919571480714694,56.356933887212,59.34702555340613,59.11673066537267,59.01010282580754,55.364987188063175,53.520401956552945,51.41382018411648,50.758630073453304,47.87128572226064,48.36693962911377,46.92203427554684,49.20729958987144,51.87874182405385,52.722197379924076,53.90771624628879,59.36066777822462,56.84891503658676,60.9787925463762,58.69646362100415,57.79437761654799,56.560226911635084,53.80839144199117,53.681433881430564,51.33357745858491,47.32855756072817,49.02672760733387,50.76472609000375,54.137782952612724,53.44296344075812,58.820605346174936,56.78437415261118,60.32896560171352,58.284967703129766,57.6130399841469,53.37849417775477,54.99533706647826,50.989175035985284,53.47084318055833,51.64983834409236,54.442112879846206,53.14492301936467,51.88085253866964,51.112945725748816,48.637861217545904,47.96291391221258,43.82822895684063,45.319545838716934,41.95726846223082,39.20794483311055,41.98594389878295,38.69154553659877,38.32103149532792,38.06480893435656,35.49269018463661,37.55625081912096,34.547619425932304,37.215225793677746,34.22817963747837,39.12483735254355,41.22079806837528,38.65628772380931,38.0734352197879,33.25238571449006,33.31140396531754,34.065109537912505,31.840118698685384,33.70122616017054,33.92978365888658,34.824426516393366,38.256143075801845,34.07643124645804,37.787744277036026,36.47334101613038,40.5777369653386,34.955759991097445,33.65452667628087,28.83271582298131,28.865488986993395,27.700703493602706,31.235244731489647,29.328302706674457,32.74599382407774,35.73503445225563,35.10461939571399,38.79013555774063,40.51928678288962,38.07274484947712,40.55356398427737,41.00002670234039,41.52981815313513,43.44888112358645,45.85646565815689,50.087800484151124,52.42480459793378,53.052602678041005,51.38866919843021,48.305423435767736,47.30701798733975,46.67181748141035,43.87762403517782,40.02330588321168,42.512425798984026,36.940441010655874,40.67428372565546,37.01599879617782,31.52567693221363,33.07099073734925,30.696814351073282,28.567079587597405,27.682220383947474,30.41707145602625,31.979508354399123,37.06617669110641,40.53924688542545,43.82542652139146,47.02362733134842,47.68465966633892,51.885209103675805,48.43791055015305,48.82849725224962,43.82484775128649,43.06196396175423,43.17255386297324,42.87239377428946,40.37302611270306,43.35124627332134,43.48856991529037,44.718429828874534,40.78885892945314,41.01635560596901,39.37111174800564,39.426197760347556,36.71370923788984,35.39898457880251,35.91750237488876,35.08913417210689,32.16917105511494,34.98767353992275,33.60885197310115,36.31031026266308,38.33740082228267,40.5527026363597,37.19570084897587,35.18822476500643,39.382571461162854,38.620829972458374,32.8055956244849,36.24282653859054,41.51003161945405,37.15246082393698,35.838788773854674,39.5710686836177,40.26790869269024,36.14000234122892,37.21438570310117,34.46063140826524,39.73819067893605,33.66985398870073,36.138499688297024,40.19271015351673,41.803007273953355,46.398793122495974,46.138450833616645,49.041908431084764,46.95941162420715,49.21952745894629,47.74493005568857,49.18516733070601,47.01414910045865,41.931105069304905,44.38335290792925,44.54446167007334,40.084886846470745,38.868697536115135,40.08741664133322,37.28990494230114,34.38711418874218,34.11740899615537,34.966341887742686,39.53762950283538,42.6652063047391,44.25586079953128,47.88621072112005,51.72947190741506,50.310891070584546,45.62529287646308,48.79676978935362,51.077026741244566,46.68043934836695,44.90505084568351,48.82709402336566,48.39279918634198,44.418563180328874,47.645442343542065,49.87775215229678,46.70683580090738,45.48838403822154,48.43291447027287,45.63812864991694,47.57044936555425,46.199185306588554,47.560289353264295,46.03012844439556,41.24589815099431,42.60675737947986,42.22350692120333,39.54339522794334,37.02429730806558,40.22466364128737,38.0057939403144,33.53186231854715,33.99807214534017,36.36942279074285,33.5868881439259,30.307361786141477,28.034277320531878,27.311278625712152,24.7459524354357,29.31043858761399,27.127287575564377,30.159634782633454,30.709865459123012,26.225174749940006,25.467709540353265,23.682554003288242,24.798558715884674,29.431928365618397,29.72804698458469,32.53954542214953,32.156153884033614,34.39892707471304,39.62479151922799,42.23348543519047,43.63118017876295,38.34995974824139,39.55214245927038,43.074587259976845,39.77647053139836,37.76726452179703,42.73843109959934,44.864636124219096,46.32668239169054,47.42505589602171,50.14588261791548],[35.27686054793278,32.60086688388931,30.796025899727006,27.846979831760645,27.625851863642538,33.03198281210865,33.80287918308106,38.30481584321416,38.80614531214463,37.96837073938455,41.38769212315287,44.57580163431993,41.07943803329865,39.58380870032,44.26423490404758,44.61413924788352,40.47039619483573,43.17807496365878,41.99881264676983,43.67740150703912,45.044777663027226,46.80929589973139,46.3022375184856,43.31631508368693,41.72685733661379,39.90873032691204,39.015656502368145,38.031299640313435,41.77323946604617,43.896796242210264,48.71063311985292,48.86072970455659,53.29693211471966,55.13745317511264,51.534333955804485,48.082328693910895,47.31142449437886,44.0236978343611,41.38985786253005,44.385527148939275,39.84110329424112,43.352026278677116,46.59325673928633,44.35276694245315,43.81883449077467,42.3180078626636,45.60459592724468,47.19844495495632,43.928251004427466,47.09243218483445,50.57780204476494,51.74684434848632,53.409809403944564,48.998734481051834,52.71347188874002,55.83059296322154,52.917066765351265,52.5325632109992,56.79055698546663,56.774861864729935,53.306321208293085,56.37787162589116,56.15422602158496,56.220249718188825,52.49716730934497,50.56988752297789,48.70789236720433,48.01734542741156,45.35885248044467,45.889517767212325,44.60236073012411,47.07567998941431,49.530712905687686,50.28385201196488,51.27219773332474,56.67704263953321,53.9714244603139,58.04820522061673,55.64078983365048,54.64443541626165,53.29423390680278,50.453690648594744,50.26832682823201,47.844315319891265,43.879293012777474,45.67880433585606,47.5354518117729,50.897634045035794,50.380551739436704,55.79549616550987,53.91822306889071,57.59302767771159,55.58862144178345,54.88190825674967,50.682363866698964,52.45673456912187,48.49124209716234,50.71487940534786,48.87124131013839,51.61870891669947,50.12780008963093,48.76894490561361,47.87773098600666,45.35123374653147,44.50329296897011,40.4457671454888,41.91580699069786,38.51362800164547,35.88991312837438,38.71540247228108,35.55570037724585,35.10512969218866,35.07962061492567,32.41634725583391,34.67553300617422,31.66323644367755,34.36294754951184,31.458979339501415,36.49081220638973,38.54793803645278,36.129813192883894,35.52122390268572,30.699795281640057,30.637896232732555,31.375735657535216,28.825548393023528,30.77517207525838,30.708086518641814,31.51066390141971,34.800869985882315,30.607052602816925,34.28766764377453,32.8766311100994,36.99844100931863,31.374699775942528,30.179365624279853,25.362248402023425,25.482719712705602,24.49831490219338,28.007545044660247,26.329492846775846,29.751540809711642,32.76679752421922,32.00536518848252,35.594512650645605,37.3680301060107,34.94029671801365,37.44782552903767,37.83578688252551,38.56116383692901,40.431927855261804,43.05594077610445,47.19808006640957,49.79148552065428,50.33952006769596,48.496524915564386,45.385024187863245,44.23142227921282,43.568827484533884,40.608249515172645,36.66172269749616,39.211138749925965,33.60466088389352,37.27690037359891,33.52484580848588,28.061071012327012,29.480199863301138,27.14211219229317,24.93944323977428,24.10240909405071,26.82111885186436,28.48405288464718,33.53734914156471,37.03432829491325,40.372788820758004,43.58685162450114,44.38138772407052,48.47042623365151,44.97516070772419,45.305110450459416,40.26963664551055,39.54006045999709,39.555600049266225,39.23519609583254,36.753777945093454,39.79543032123741,40.03074398710749,41.269228405051784,37.40597006557128,37.517644536001924,35.863212055580895,35.84452709720401,33.10198181804742,31.766356362021053,32.308007613587044,31.555250364579596,28.655479682426275,31.577069123279863,30.37577080488488,33.07094482388558,35.28460450680183,37.514249660382355,34.15694170767847,32.33557847155386,36.63040882948901,35.922588801406704,30.25327169490998,33.81002822636187,39.07215803651524,34.880348301698774,33.76390943706272,37.574054714806515,38.24942409568756,34.34069029466218,35.614877844573535,32.74290202360272,38.058998773314414,31.990953899884826,34.11437212164356,38.240046295119484,39.76820865661818,44.45074632093698,44.027144437032874,46.70144637462408,44.410112541078455,46.49283709470134,44.82585363574997,46.25543439498464,44.28860369587765,39.07469904198661,41.34754409901472,41.649270735876925,37.26230648469831,35.83657789069012,36.95912095191872,34.42733952593822,31.535859024766843,30.871870332119837,31.88665905021724,36.23585633828875,39.44166253426836,41.190722824711436,44.729434037383264,48.684353766888655,47.159480083539464,42.525508426298344,45.9102379545483,48.1369204756837,43.71322198841504,42.122475130543506,46.16629288589209,45.79010113709548,41.91122120577239,45.20215666717747,47.5315728274653,44.48770964268384,43.33743715990375,46.279130958463,43.417499394515616,45.15628308834955,43.558159578053804,44.944334302353234,43.69389174388325,38.80300558958768,39.954977970520204,39.82084577032278,37.24501756429922,34.423132004103735,37.711132077122386,35.84507603006631,31.22638232406608,31.39149213885469,34.071203307687284,31.582967645001872,28.179007937301893,25.916757941854094,25.629836371931724,23.226107076154825,27.851861422943287,25.46058946474449,28.09348377829839,28.638956705815517,24.39253307380518,23.27730381668381,21.483613147152948,22.166499160814254,26.726678207213105,26.802337357822008,29.383538379806122,29.05297667622679,31.587101038973877,36.68390747399072,39.439598632004014,40.78008112207012,35.57339260603854,37.034632567830684,40.58859470635463,37.19564420399603,35.51038329748141,40.60543125282057,42.579181707923574,43.99076193864389,44.9549666289,47.72967400893738],[30.756912064414873,28.26156028734602,26.896156339546806,24.001830698884955,24.5625948855334,29.67769445048933,30.933702659341865,35.50110075446475,35.94802247250384,35.60216819543445,39.04077548886017,42.153987234536814,39.1806895750065,37.625952287554654,42.522980921157895,43.06230912473082,39.24507060883529,42.3440807270995,41.694269854903034,43.56349166304732,45.31493797322459,47.434314570687285,47.13335643810174,44.40059850832154,42.539399712779066,40.289102039533226,39.1477203749384,37.631101536183294,41.05077212915414,42.79213410289119,47.536182093900806,47.472956286626804,51.85153057349439,54.079453276069984,50.61578099429866,47.402742375342875,46.47555875185002,43.78734847639882,41.39490260464329,44.87321386789815,40.522230492387756,43.83886610508642,47.345715861610955,45.325710748045296,45.166202901524336,43.97856013574869,47.3815812513983,48.61154158553056,45.43669182245764,48.875352834481966,52.09052156066404,53.13316625348518,54.62527316666772,50.07963588953283,53.46781467867071,56.81238978099209,53.952532588504134,53.15501717782468,57.43170435209977,57.78749793021634,54.10328282144013,56.89266806735821,56.30182365686243,56.645928144258434,53.11087777686751,50.83390179295296,48.755371868164495,47.6241276030667,44.880968152492095,44.91933019353682,43.704577498444905,46.20094321845629,48.672884841150015,49.881604358611774,50.63016715734588,56.272711984096574,53.76443445436078,57.6751331546847,55.42359762129439,54.74990642568781,53.156186756256105,50.60543901628785,49.99284105793042,47.8665539214612,44.0242081119062,45.45343938788434,47.496032268112174,50.43871215692472,50.06396008218585,55.16077093544469,53.19912347339412,56.83688922864176,54.518276082022915,53.529560732435165,49.14329598083643,50.68738344187783,46.5620552220368,48.849158626827105,46.778619984864164,49.24780503271251,48.33136821349902,46.78337951702055,46.44024583166607,43.70839713678269,43.38784720227804,38.95953736426349,40.39465833489119,37.1797943614902,34.093608765959026,36.76644614993579,33.28884860800466,33.282407194043856,32.89327874320565,30.72639392695105,33.05215418898637,30.40009157966719,33.47438150765549,31.04768232428304,36.33185514280096,37.80656105999545,35.15473420653539,34.10217959694105,29.312731909037794,28.863164314484166,29.11293797179673,26.9250237208664,28.175651925156,28.850933652631788,29.76661718682717,33.575983050963885,29.452861962317428,33.35823909075841,32.54155939818128,36.42790944031629,30.926370734653148,29.345199867127803,24.337712343828752,24.67177982202511,23.757294378019306,27.59524009648789,26.551663208891313,30.53593339940846,33.00550151543498,31.869529524893682,35.64007327982814,36.85751137631623,34.150296008979566,36.17473048998983,36.292013531421865,36.47197997189976,38.13020600687923,40.39933705021008,44.54965502793338,46.71951873182488,47.57863117082359,46.0788585944526,43.19481311672071,42.161658466760656,41.895645103732,39.05905717810569,35.66306381432664,38.55856879740209,33.301098448419445,37.31456086149956,34.03310874687252,28.786945070759977,30.237193385503016,28.549705396927866,25.830054992306824,24.588135599442467,26.943442671265043,28.34594161995681,33.483897921952824,36.72450741468555,39.89058422710878,42.79085728090387,43.40704690247803,47.70784278720235,44.6349598831322,44.90083439085616,40.24477359201191,38.82626040987221,39.44314067773706,39.5650785428253,37.10209555513821,40.509920256820145,40.727081806058585,42.4444645678455,38.95511799823686,38.975717817968054,37.5013371654658,36.968070805361464,34.11566761446109,32.34488681631479,32.58315160494359,31.59793230975371,28.130514448452622,30.653736362052086,28.80793725198219,31.20076786459541,33.159528440603516,35.10344929824183,31.665872457720226,29.661008291947283,33.78368352930187,32.77338069559365,26.912254607144078,30.46155221986247,35.609590426823615,31.084121085998277,29.826780834451096,33.599189983966625,34.15997779686945,30.036888412341142,31.27613812263578,28.575547021303308,33.97993942816866,28.277352857727227,30.594458563249745,34.689899959026924,36.66845235180675,41.160547046410365,41.256868601141484,44.03910951688162,41.96019939106018,44.30924335665584,42.7370163824472,44.5777419699522,42.42643350655925,37.115888001388775,39.801896963031034,40.40029580411218,35.80924588939056,34.48489758690522,36.16244422807046,33.586733785151004,30.23864979354945,30.115122012794476,30.24566662089813,34.881261324093174,37.997192710502596,39.20084565912878,42.78801641963837,46.45730476299095,44.990112391927724,40.29047486182058,43.254171676964255,45.43844987714296,41.018489509411076,39.15216383461559,42.94968663714291,42.42065091713389,38.428543068411145,41.73770289633531,43.86662150191289,40.61015640566977,39.495350379807434,42.534220409149,39.83703065576646,41.89784862633653,40.59803624349169,42.201868754175855,40.576013502037064,35.642077317269234,37.326203869863086,37.08709417330672,34.24108063798888,31.833609364339008,35.49780790927507,33.28533907647318,28.49736089474839,29.340044424062068,32.166140564812025,29.270109885105192,25.713405931327326,22.885235163926726,22.87614608406468,19.817151509354293,24.172760608278097,21.436571264812983,24.3376035374279,24.627875033526184,20.172707708884005,19.533607423154184,18.091016498766674,19.35284402387772,23.983489227708688,24.09988794610823,27.22981060180452,26.688625432431152,28.565603288709916,33.89956316924256,36.36366408093889,37.83709522309669,32.513358464230265,33.51276102957434,37.05017594509447,33.91937936707649,31.70639942178262,36.65348301120239,38.874269823942775,40.44562718158505,41.67946633041854,44.45298148031316],[34.87718423013949,32.64667724562601,31.618544839782803,29.187585560917825,30.043347030560415,35.16589295736043,36.68638224257194,41.232601249755646,41.74800301742065,41.55054594744742,44.97904686218463,48.07653440036229,45.18848232877458,43.608744984659225,48.521039584892115,49.08267290287183,45.24871615482058,48.28839589959946,47.47969216781523,49.344743012960045,50.94159612327522,52.934440860620235,52.501774595628575,49.620582139678056,47.93866871615875,45.86315967062929,44.8454900064044,43.49283972503149,46.98948723862236,48.77808907245169,53.53541154662837,53.47730274549226,57.86461269516424,60.07279334322611,56.58093402405756,53.33505056616833,52.39386187580256,49.5901657194647,47.0984654252668,50.31832920500328,45.947124808421904,49.39949432943813,52.77592999965257,50.60637044181166,50.24541705243786,48.81843937327616,52.146709351158016,53.62338612131916,50.30193167316849,53.52402384171488,56.966479328408184,58.018994120796464,59.664238868268264,55.24774134990788,58.77203783712099,62.04890110096818,59.216443143487865,58.62514781443249,62.88776105667122,63.07879041106879,59.52996436897756,62.457338545051954,62.012558504498664,62.222065112601975,58.61737257242495,56.495844850730336,54.44769199731293,53.46376764062017,50.662940940878045,50.800031875176735,49.49598958246305,51.88194671244882,54.47227489303513,55.61233682270465,56.504057785851344,62.104185775104085,59.58277581405242,63.54668862947976,61.250183216770345,60.459483046137436,58.89845815611192,56.19919931012243,55.64417518279924,53.34233955651582,49.51947454858571,51.15856823605233,53.22278941290382,56.26714067108576,55.912766352841516,61.08805347331383,59.141167082497184,62.765979961136765,60.49012056318214,59.53626101796399,55.15421789748405,56.668130788628766,52.53149882506211,54.85413751628967,52.750191566756094,55.11731897089387,54.27599466596344,52.574983798961696,52.27979632828111,49.376164145724005,48.85169252041589,44.41884580275782,45.55268627349804,42.15978078646167,39.132927968116704,42.048078902394046,38.72263740359731,38.98358475903238,38.743146493779335,36.65910258953932,39.06877924570454,36.40441896397961,39.43004220326339,36.87320016348897,42.04975832366394,43.701992500536505,41.047033883759696,40.071514408181635,35.27659177912877,34.881765069304926,35.08994646867209,32.855174659400205,33.80479345312289,34.49850882502412,35.15104621145826,38.877729706813476,34.41774427460072,38.03576281156713,37.26936049431459,41.43615086882639,36.05845222893934,34.84874225109533,29.676038448080643,30.368696085503757,29.613027750466735,33.38852384250964,32.17768650138167,35.926989720076435,38.64831469250179,37.637544455615114,41.337236769623836,42.721277341701395,40.064969594087586,42.133220589653284,42.182363915847944,42.37359523243149,43.8654767080893,46.14349096507904,50.17950365951132,52.25847203378524,53.30941751031103,51.88130009573228,49.08618046329062,47.95966457162146,47.812053923956626,44.80976739561671,41.404374440959764,44.3683649203522,39.02004853204948,42.89735236999,39.32022974444025,34.00102818975622,35.15727867161776,33.051735390053466,30.41307636198316,29.67708795194342,32.08936792152716,33.8255307805804,38.88912403978982,42.223294591517444,45.50714889961345,48.43249750481122,49.23181217760806,53.39431348471142,50.2249499471533,50.366445110744216,45.582783218755615,44.234143667763774,44.47529547231845,44.35761574120677,42.07814588598089,45.553287664738974,45.97152943879359,47.39421706721148,43.68754148665854,43.54018988008137,41.76995720712779,41.49378819614142,38.43867098730052,36.76259784042934,36.864155270660056,35.55726094939193,32.45308866627614,34.807988748882046,32.918843140138286,35.76179500282189,37.18478216279455,39.52403875219937,36.35302959096151,33.77841523752256,37.72895178026761,37.162829565965495,31.163992128678586,34.16148232842853,39.50870339385496,35.25135922016752,33.530050132186254,37.0622879209349,38.09722463236855,33.84045764546332,34.37993567388646,31.640785930372573,36.69105543139519,30.446831485027744,33.32275998626175,37.228962433050356,38.812993215293375,43.29941509970848,43.191552786355174,46.40476411226758,44.66054011708011,47.21207309581851,46.13509234086263,47.59135569899133,45.03868641586135,40.229871537185524,43.05527846946503,42.99817506732962,38.397965417448994,37.60428581949685,39.14971400466294,35.87651011246858,32.842490226138,33.493162600324666,33.831508316117,38.95489021906694,41.81584181850994,43.028429297038514,46.8972370810087,50.470228217185486,49.43819539950967,44.627843460342184,47.318730115441795,49.84880156592246,45.65564763326542,43.42979383926672,47.1994604087295,46.8557633531765,42.706641681145214,45.60397336438112,47.82848549049325,44.70989272483491,43.14079349642796,45.932360054028194,43.14572145269167,45.250549449272604,44.242765668395016,45.432938288190016,43.49327122978062,38.98641224519249,40.56362845366366,39.741076656858354,36.96376005257821,34.932440888071824,37.92254305806837,35.194692136844104,30.992462970923388,31.929531610138447,33.84253391191012,30.64712535731582,27.55598497097933,25.344523976212667,24.049860587833564,21.399294392966763,25.862913773442056,24.189751982240224,27.683556933009672,28.64211552949819,23.939282372478036,23.410528501212937,21.38773963769737,23.111769639792055,27.75679108755404,28.80771571908308,31.954420331991123,31.97085045025793,33.59260354210747,38.96176470760789,41.231289816497736,43.06067646553276,37.770270036205204,38.356986866014125,42.0718115754495,39.31536934378303,36.70384526789642,41.49229521277279,44.002195013602865,45.75736663679667,47.170410781759955,49.945323798616855],[35.92757595131423,33.34271626028068,31.57577895169512,29.623331224628927,29.488169056581043,35.19419196329259,36.499243752055,40.89569762833289,41.9163129418706,41.62095614724818,45.194826857193455,48.0594520513828,44.84157656613472,43.75178121461544,48.49831800931832,48.69244690803804,44.76836447251295,47.762523222281885,46.97900301296122,48.37050101537859,49.99152366953151,51.59406774903519,51.353862805787976,48.432615491307,46.59895038240305,44.89311101578709,43.62958107552569,42.52572800075306,46.08141860514723,47.846884320299196,53.04850342005933,52.66230925317583,57.16801020098861,59.24512190640017,55.521934173559906,52.289094371253796,51.066865163074084,48.11795781445943,45.39217619244037,48.05396767790227,43.92819657716018,47.813264839998595,50.90326461296232,48.44988873905573,48.11076314529933,46.45183903145293,49.77809844457453,51.262923836021436,47.65377125760282,50.65336601091762,54.230975646514146,55.12417281493157,56.94056766409682,52.763426516740644,56.27873342511553,59.59901384085517,57.00550337895906,56.58387996367657,60.7946903256773,60.97669435752849,57.77823480159461,61.00015971253449,60.7420637612656,61.13946969556588,57.31834641957208,55.2215537080385,53.7120276612156,52.84138407480583,50.45850212605813,50.806215397070055,49.72790077599589,52.376789731354805,54.6375200002564,55.48196312509839,56.13654094700721,61.555136949123764,58.62624287239328,62.53774423291043,59.94522995424323,58.83176854319023,57.10686675754335,54.083184790570286,53.51321213273072,50.88602775584113,47.17463104573083,49.224373438747165,51.510983234606776,54.65217810734024,54.6505860964747,59.98345867222484,58.38011404747276,62.243792084465206,60.13149003083816,59.18099338568593,54.90596357456159,56.73459155105089,52.6969772069196,54.52986243762745,52.38724389406805,54.62168772922067,53.37574296067646,51.38481164453454,50.81445731744591,47.69097000885906,46.582246000024924,42.35287011781451,43.18139961497629,39.535086581716094,36.86791601902517,40.10637825963966,37.2206815032867,37.50934692383077,37.89176597614673,35.66200598111156,38.514582075485926,35.81954697295494,38.81982226544691,36.30069627002137,41.577821847371936,43.34761433232312,41.00773127168951,40.093122090684474,35.31042445818361,34.758561258670895,34.939703127269695,32.00571493734986,32.92203602323109,32.98138769090899,33.20391207092048,36.519505184248935,31.737173407903295,34.99566330538668,34.04604351073099,38.49728195524048,33.26521657112273,32.64181769454248,27.374289374508688,28.573066321502594,28.329766294468772,31.945424478808764,31.03561527869993,34.502062091783415,37.479513230979876,36.357602006510234,39.75583391397118,41.396973926109276,38.86213102554462,41.044105117259924,40.94229084707337,41.585041189423755,42.86342090839766,45.62839118582413,49.39265148875113,51.984149909663756,52.97962087975675,51.199705635053206,48.391847091426264,46.862306222969984,46.713872807123174,43.231101784922245,39.600440713117365,42.70016995649641,37.22570060394982,40.800104925479076,36.7854319991901,31.53365596866888,32.13069498022552,29.72975524756466,27.072082777790925,26.946974622160464,29.323455994667853,31.55415017867119,36.41433116254764,39.86299183101682,43.34494036840718,46.33496350459173,47.57521389810066,51.354333946760086,47.976653244300195,47.891067053013806,42.92866942659761,41.77183711628241,41.4302132703526,41.01834764975334,38.96723327868542,42.57554122921212,43.37271490747716,44.49070470455801,40.74070176852228,40.21093426737187,38.156240604661306,38.0038970859954,34.733227053994575,33.139625044967886,33.163153609441025,31.720742210952622,29.055411606995378,31.476354821702984,29.973147958942928,33.240499247286145,34.61231429112328,37.36875303184939,34.428595995550424,31.76746228402405,35.82738910753797,35.78905541037194,29.975806079826906,32.795419153794604,38.34298146629574,34.68289859048378,33.026391232409885,36.565102843486365,37.9502282736705,34.06644987245661,34.51048121771596,31.437772356356646,36.30703146245369,29.53247148885539,32.07381265299196,36.01107903390048,37.010228125773295,41.7408298743052,41.00183299542274,44.063267629728934,42.10100205941182,44.40385039668072,43.32265520489744,44.358076763874834,41.918544731520655,37.263916450515474,39.772942013550235,39.39106089160466,34.954631130982534,34.16868442716239,35.31669464146762,31.97254179628012,29.302573478819635,29.76626151227072,30.7419720871014,35.81307748217719,38.6230712991312,40.254160725403764,44.17490796625984,47.948278437991085,47.05517630340918,42.2607228379654,45.23801892177417,47.9584686720605,43.88795977776799,41.784510249919485,45.839234572344324,45.792186460755005,41.71903163110446,44.42622318815016,46.97633954856928,44.26086887517993,42.46384755378858,45.045800967766674,42.00237589741093,43.67746016064271,42.370330382617595,43.23485648893953,41.69586056048449,37.30075183258048,38.25478507096402,37.491246586559356,35.03503054499906,32.58019597562786,35.13143526330074,32.78770383542023,28.76813881308106,29.01677035748886,30.792279679393342,28.05418392759377,25.09060120490598,23.516117186755555,22.06350969683847,20.251354783441766,25.030100466296272,23.772561629713195,26.839286427125288,28.36233181870818,23.959618870802885,22.668385773212222,20.082185466324724,21.200182070274288,25.734767036293096,27.13099599673956,29.774833718306144,30.409030993329615,32.47920845643181,37.602184267082166,40.059012357391026,42.05008867611147,36.940148761782204,37.79061318220885,41.7297604136257,39.02938121045054,36.82690366253564,41.79401449747586,44.18554243453834,45.96298140780326,47.20972922736801,50.10090447201514],[31.115464538020802,28.34848852592561,26.326807109949705,24.339100161011846,24.01692362425459,29.776671431963607,31.085277691057573,35.45599714288638,36.58512914120557,36.4215717930608,40.04466933860405,42.78699526473163,39.68636764481165,38.758167654241596,43.5284834497894,43.68399332676787,39.922382228677414,43.13351564018669,42.73636079586127,44.07793827254,46.00568147825939,47.76072930011242,47.770876498252974,45.06984151437091,42.930706275115824,40.99799581416075,39.44858263840014,38.042254621792026,41.393545358330364,42.91859916080103,48.20731994464648,47.604351130133324,52.10531360002599,54.35453033558443,50.656861335542715,47.577002037626514,46.19642142765204,43.59315929230647,40.98714941087866,43.915690016103014,39.96993768781198,43.79485089380075,47.030376724632134,44.709650986202085,44.70786898195675,43.313136369109195,46.757178500526145,47.88434276188303,44.34259840394274,47.59077859710751,50.91058222727134,51.69296891687694,53.36157453420615,49.07975826470722,52.33096563900368,55.83233309614192,53.30846085384078,52.57559105292905,56.79382558583562,57.279214426465224,53.967840419942256,57.03228834917406,56.5371745971824,57.22167886728241,53.484393108910375,51.11038720141699,49.627354039777245,48.46797490626189,46.213242142909124,46.309102079987426,45.400914791238954,48.20297208984406,50.28564693602965,51.31550915539901,51.681476842630346,57.18835969621292,54.256170008637895,58.02828264334312,55.463699385380096,54.505672002038075,52.5846777020152,49.72009574702595,48.88002370110881,46.433088404638056,42.796166563455884,44.631927904312654,47.06997216680501,49.95299085874176,50.11609560388241,55.27558401056415,53.720188240943756,57.637959898237696,55.38739067754899,54.27078623157964,49.938567705156714,51.76156550083539,47.69263119100261,49.373574007155405,47.12725156888144,49.23664632830273,48.11576141057396,46.03673763422548,45.636866343172784,42.44899696498055,41.57671969886873,37.202221370684605,38.12606445913692,34.60936289501408,31.749146724467863,34.8606533490002,31.842124188755896,32.20354233727667,32.52217745537186,30.453201453333087,33.44613883287139,30.947748589596006,34.15379313626869,31.990573581614044,37.48031203620439,38.86898931585161,36.53020362137009,35.365236113489516,30.641384779238013,29.79688858624032,29.73413233725958,26.752713136415082,27.46658129063121,27.666595824236765,27.966511732548714,31.49616570827464,26.843264527883942,30.346155070380064,29.620475833608268,33.86336063616816,28.61618113266086,27.721429433916747,22.386317611233608,23.672149873439366,23.574264260363474,27.33972278821063,26.98682803140936,30.79605635586699,33.41016133202664,31.97383352316865,35.41121959766191,36.73594789412681,34.06340017955943,35.99965724169109,35.7461495482748,36.25105615445621,37.44839114060762,40.183766556165295,43.93288788046351,46.52338065757074,47.537660733129435,45.779492404142566,43.031760512801156,41.49597875316762,41.47811363335368,38.011063921774415,34.59844644362096,37.88644070531775,32.60770395405351,36.36351381230738,32.649055929682376,27.559363369435097,28.206790256557145,26.354766328227687,23.3182454802507,22.8045282955113,24.952338469251327,26.99925044073965,31.913128703887207,35.212065387193086,38.59543556096836,41.42919902397441,42.59006469593551,46.46270642767338,43.305921848224955,43.20515772132617,38.46349554015221,36.9432234488263,37.01200608478696,36.92511305900739,34.803913542693664,38.61774153143354,39.37463707522203,40.87286254925385,37.447059295555675,36.88399655945684,35.0578474687014,34.471108305729295,31.211132657314856,29.317716672535642,29.255602650861935,27.876123845491016,24.713532877074336,27.089709059989218,25.36119255800937,28.30759348745252,29.92066237317374,32.3893028370891,29.27596143209904,26.863461449037786,31.016744175653134,30.67784683400352,24.890872633098652,28.03817411959889,33.476981786358486,29.646830759770392,28.241858175749552,31.930303132974245,33.05551560685499,29.276407134062346,30.124133790697968,27.055036115948838,32.1629696002386,25.776276981074872,27.940146885945538,32.02402601124016,33.396094515709855,38.114899699745244,37.63994926223046,40.41727305425607,38.25866440020198,40.50348433630955,39.10037493980463,40.54276956285731,38.319815231315694,33.245991669467024,35.81070268488065,36.00505413264099,31.475200011503993,30.331196784763378,31.797688187611076,28.93315693099035,25.8207397331763,25.9327546029569,26.44768825815294,31.349558920095237,34.30776530849633,35.763345151431274,39.54285241880973,43.30482970926869,42.167335020398234,37.39748264672417,40.43903397794249,42.95849454592304,38.75615709340081,36.783593887327456,40.825189521528785,40.6602304954483,36.649212184857085,39.59656521930584,42.076624952436724,39.27426134878347,37.73092223975879,40.47629054270549,37.50116839967686,39.1998936529715,37.75527113174661,38.94634422260197,37.53461412704838,32.820788045951176,33.96637557666977,33.58593623587479,31.005235218983927,28.36077029821854,31.524815804864947,29.4648488071692,24.923857907520595,25.286915330029004,27.839494014226293,25.198830061850046,21.786528864031094,19.585996898750924,19.211594588610797,16.936241286708487,21.631993215200847,19.57634339023439,22.248697441450677,23.411004988016956,19.176466878671732,17.743124242801922,15.475229679657218,16.36631691659071,20.96783092497258,21.88098941431037,24.653702014252417,25.031238885327312,27.091781128847288,32.24409101118597,34.744878346358654,36.62739421149871,31.49392343261513,32.45959683360423,36.35173049829946,33.576111034470415,31.502213482663127,36.53774716301712,38.82738604295262,40.57369740719515,41.78558555469811,44.70393843795942],[29.376126746065076,27.028161187952136,25.8354578320834,24.002973081748774,24.855782938922093,30.096096168474798,31.98248578490632,36.40930408861325,37.33521857424833,37.63950921977002,41.193049129734774,43.94621408852018,41.39962123215485,40.23623377797911,45.20069745873334,45.63586381386069,42.14305771298199,45.586663010047324,45.45056997270993,47.095218800953845,49.17905651884017,51.249345545912774,51.25162526692497,48.6611060644336,46.50412395284477,44.24132809995881,42.70229960365364,40.94227441696339,44.07746348715065,45.37163004531115,50.421437682261256,49.80369309507625,54.20418324283807,56.7500366271933,53.236297557388895,50.30925543050782,48.93469004649889,46.74418574216052,44.35734198863131,47.6835806693105,43.76988446798526,47.33800182508543,50.78293675411975,48.657544613618484,48.788130191369035,47.575353106550345,51.04800966563231,52.05552533137252,48.63708019282058,52.034056634105916,55.22203507344171,55.98920851859209,57.546193199368005,53.156753082099804,56.25648724942728,59.84208402858516,57.27815550133597,56.31322626331091,60.54376711159589,61.19362085967392,57.67871020842082,60.50254896441444,59.76546366149227,60.49557515632325,56.9388322317166,54.40851506179368,52.59488468789873,51.17700685057653,48.68653389956362,48.42433391473437,47.440350264852235,50.100313362546096,52.366595001254765,53.77339357029506,54.13538616620923,59.83457436023209,57.18785885390767,60.88404451632748,58.52227510265481,57.84988466666351,55.85502584617236,53.25167963275973,52.16905669074701,49.9788760713787,46.40890340119209,47.92459656602501,50.391221732551266,52.9947468757752,53.12248853819012,58.02749024668509,56.297091577540414,60.08279488983801,57.58532958817059,56.29531555307498,51.812670387108746,53.339382504805165,49.13277678563867,51.04912017270706,48.651359732499934,50.5507712678876,50.0325959429085,47.865973320058465,47.984402836692205,44.67591394832525,44.310578902092736,39.63328608579681,40.49303667273465,37.1613502478652,33.887212584273556,36.844574191353246,33.5304245737311,34.33545610202962,34.21419866570681,32.61888992504806,35.483998955724545,33.256747755562834,36.66479877733791,34.741467213212985,40.26543379180602,41.3129478362026,38.708111546163224,37.27128188230177,32.596859701297404,31.593322397350157,31.185636522185405,28.76067306477432,28.81771937849032,29.829876642210333,30.250162976277334,34.221491637599414,29.662187461647342,33.2612062334291,33.06121834266054,37.10037010179522,32.01757235155085,30.812372881635767,25.42519776155116,26.766300966012086,26.553097716629146,30.504961517536586,30.317370846650373,34.44237077631705,36.719358935778224,35.172329275161836,38.79051460519232,39.7236463285672,36.86697274703299,38.44031238345981,38.03329767596346,37.976912056054886,39.011085832709334,41.28480340045791,45.05848648116884,47.08844795792912,48.44552441187499,47.1124928361664,44.594232198909054,43.262298737453,43.58403618901541,40.33999169950052,37.42665215865656,40.889409797775585,35.896380902845436,39.89600009960152,36.56058551761299,31.59725961618421,32.370309496551265,30.859198633857478,27.633349905213507,26.851769772626636,28.78132234296966,30.564737695538543,35.51381656597517,38.604926371124776,41.81554561398068,44.40088769648845,45.34381825648462,49.41947069545344,46.60393764038427,46.493492937992144,42.054100874702726,40.0471592355422,40.574208771689634,40.7839818753057,38.69151259179924,42.67294263135829,43.34779009479026,45.11976679603933,41.863903370957956,41.33596984252459,39.616569848572965,38.797326357246284,35.501923431321046,33.37671186309897,33.08624751949433,31.471996284804668,27.993049236447874,29.91662157097543,27.560460844957223,30.292356004330777,31.41229628072491,33.678834950553025,30.59537025676827,27.786239970634526,31.614228781658603,31.07845945881273,25.03974663351637,27.902008517523186,33.25330056231811,29.09616059151165,27.287909919224425,30.80035201444791,31.97115102465923,27.809943500945113,28.261471064349752,25.424730371718294,30.482831850578314,24.27393207373819,27.054938115348694,30.992226982429642,32.735794736128426,37.201488468859914,37.27435224182577,40.41574406997192,38.694574793555724,41.33922923151383,40.284010411758054,41.988170775335306,39.38233138771653,34.485017079422185,37.542658870720864,37.738689007974834,33.02797328529383,32.26356353181707,34.21704770588552,31.00998822946451,27.620875729791205,28.650168565993862,28.336572319509663,33.66337859555044,36.40015399336588,37.265847213619004,41.17828235770923,44.568521528591226,43.657462846555255,38.81144264788305,41.251457669450744,43.834591282273706,39.735363524602015,37.322883147327396,41.02753394811498,40.733275374916076,36.53775716524965,39.334198733659626,41.581586306651076,38.54648319004343,36.86875028636684,39.62976196161834,36.83566826198068,38.97079044076638,38.03967711365551,39.296352285859584,37.27074048430007,32.73277905168126,34.480913199343995,33.673863663869774,30.799042246895677,28.89133544828561,32.12869558322056,29.36211546512664,24.96921359626275,26.226167463486863,28.407698937333684,25.095295797445246,21.79630575012803,19.226316425638707,18.382392441848605,15.395664244048161,19.82574458234651,17.930009350186,21.382380534110663,22.509919148118733,17.835518671127577,17.211161766458304,15.14853320138359,17.122044444705423,21.731965039101866,23.07096024964615,26.43775543005211,26.694729026635596,27.888617230807714,33.282382503158814,35.35647435318921,37.45609318707225,32.22607127955377,32.49532027995879,36.364973613575934,33.99099390947718,31.15134243986936,35.896829517038306,38.56735057806847,40.52026241439673,42.08629423545356,44.95005128760285],[34.0977814002062,31.825390341910612,30.576116858815432,29.167752231062668,29.761518170522095,35.20688351234005,37.08833097764298,41.447127112160004,42.5609232729231,42.819877705125435,46.407657278956194,49.115212167463234,46.41490487772833,45.366902713766216,50.27041987170531,50.58382733004419,46.97070841284614,50.28749039212345,49.93312873692099,51.41682365406419,53.327144810305526,55.13638815417709,55.05947512110382,52.298222793108614,50.270845093329434,48.30632099358735,46.83359945775536,45.35917965848372,48.645076888420725,50.05278076384606,55.26058233671263,54.60019096572457,59.060027628068546,61.480535704728815,57.84604787766067,54.84376193835881,53.41000912471896,50.969913224830144,48.39253527728481,51.28652467147735,47.388126104200886,51.216465541066974,54.443871550028305,52.08100389058931,52.00117258781345,50.48557585152861,53.88572377350823,55.14020354722168,51.506659817927236,54.629356623479445,58.07968391251766,58.824101511608276,60.589576169097384,56.39264655747011,59.64849655704369,63.155376495957235,60.6738624947248,59.98890324688332,64.19010369904998,64.6463912681019,61.37504799034595,64.44211029911536,63.93407790141172,64.57143745841967,60.8584762612025,58.50748823005872,56.904795189152345,55.70631747273631,53.29480561396238,53.25973041528732,52.25215421213023,54.910844581622385,57.180883444887414,58.370325123229286,58.81908788500196,64.40452053320864,61.5877399989404,65.3473222587842,62.83211786626609,61.917094377238364,59.940956124261554,57.075182150432845,56.10932626007776,53.63642284094763,50.08804418248976,51.949125263752705,54.462768884290455,57.25452303543329,57.46999113543776,62.549070896601464,60.94103040019645,64.80144790868077,62.43804113937462,61.228146336649864,56.80593889944548,58.449583069421315,54.28431358846978,56.08474682773958,53.697442432452725,55.547601865497725,54.8480026931127,52.525046601517914,52.48527184730138,49.03048683394435,48.23591532355242,43.69712823665704,44.24737930221283,40.675917407119655,37.665183769598386,40.91832205348381,37.92429232260465,38.8203955816615,39.050397292941504,37.34835930067412,40.36859454126005,38.02389514507556,41.32357384048984,39.196680395289235,44.6528833903819,45.985602327400876,43.49217960915042,42.217703306690986,37.49852230297808,36.59184980576177,36.28089723784661,33.56464459803605,33.603657330300784,34.27796788082841,34.37435616642538,38.04119442602112,33.145681591250685,36.35501965477875,36.021284501083954,40.389365003367274,35.42998036132627,34.73518324765124,29.26171113190624,30.90820999428846,30.889717627024073,34.70987420828075,34.32808135545495,38.1343778784586,40.77481838889129,39.360389748095855,42.831570300687545,44.07016130293254,41.33118576666854,43.07985367501353,42.64834771725389,42.84567569513617,43.756149105915235,46.24964957567471,49.857674625260536,52.05967318834129,53.47194981185478,52.01747422912876,49.509275713473144,47.972465410920925,48.29160916147986,44.767614874620776,41.664512335539506,45.14098363831132,39.96343703195918,43.7229431006909,39.95592212472843,34.91045448993024,35.3202202267878,33.306356377422674,30.237427290115324,30.057723231750842,32.09523655175085,34.296309760834795,39.1250315673544,42.36945415372591,45.757253408909975,48.44346790725382,49.68238176264911,53.50441832127083,50.47310741846133,50.21690826723739,45.55908531987854,43.798017820816405,43.75403929012973,43.61186662160494,41.72691165877805,45.726900926996294,46.665209774504525,48.0432366934222,44.55009575650884,43.79729460260658,41.74529987474345,41.23798656085297,37.75513248612029,35.80978130717774,35.445981892732426,33.5890395125009,30.662193951091282,32.53707287960095,30.42009200431652,33.67160444504182,34.39813294062912,37.14988848555612,34.38623989757418,31.181310813797896,34.90033043786691,34.95256074936849,28.984228163497882,31.31926599543382,36.853838079717164,33.215727635117176,31.124790197707853,34.406682102943314,36.075015216027275,32.02587630215071,31.89742140368514,28.930288146483445,33.52980879005759,26.700779426509456,29.75480534865668,33.489615228833664,34.573684148752335,39.11251058206758,38.68516228086101,42.1077800711674,40.575769453990745,43.24319034273334,42.59731795795412,43.75065267405358,40.88602605436392,36.52482580470011,39.49689518199051,38.97042437707153,34.37515790335753,34.059146411627616,35.65460438111479,31.85597998067873,28.978568560930924,30.49658438843095,30.733371842045344,36.33410194463042,38.84455248225137,39.951220287077035,44.07508572879815,47.488428793190224,46.966934742788645,42.07885876477846,44.45885263476419,47.37489926540533,43.515343045300796,40.93169725269012,44.72999437916703,44.71020100684971,40.46913897879287,42.85047887980221,45.30545293564077,42.5758662517011,40.468785159154926,42.91432868592444,39.95143209640815,41.895531461203646,41.054524690868114,41.804917297255685,39.7388682255732,35.6519225047534,36.97576802185701,35.71839712149598,33.09944284097899,31.30894918341309,33.70148839667134,30.7073911854045,26.99773587630724,27.94315595876565,29.202699866290605,25.89388250972853,23.157539108567697,21.556593185875812,19.427777100703636,17.398384486044016,21.952157041386794,21.27444134255823,24.90113668245479,26.754877647556103,22.15318759072186,21.284341252012627,18.594369670480926,20.511294186385527,24.96502523907564,27.07912514698707,30.140813076736,31.019593749146665,32.31234864281039,37.56829297899749,39.60518264220296,41.974601158642365,36.87318214819112,37.02542383764568,41.06817054017694,38.927578512001475,36.05947837688114,40.7465099525285,43.52349218430388,45.57586155322928,47.15969634676413,50.05542165269722],[34.48983564702206,31.882304942054535,29.92867715951695,28.90708028845286,28.574978984644584,34.47753604087252,36.12493290322929,40.317319849486076,41.859416247964944,42.02215349785751,45.712927576544445,48.201526974594714,45.23233682719528,44.61862295883373,49.350138876571584,49.34570386002928,45.69080433897482,48.968689222536604,48.6795871998901,49.753127333613676,51.71229663608121,53.20758527255453,53.32596503193774,50.57840299408521,48.39483233153705,46.71817554064869,45.01407335950911,43.71996550697324,47.008720209669065,48.364924737285826,53.92801132061667,52.97576247031566,57.51597728531939,59.82730854191279,56.014673191296005,53.0531007073088,51.373217677467885,48.862262975995236,46.119822684161925,48.55878192935636,44.91897738777356,49.07943652222867,52.06796210456547,49.498608799796,49.490164525146376,47.83270798301537,51.22919185631481,52.42553043574091,48.579424737030315,51.53671862391066,55.042691797727024,55.63231585693645,57.50940051817217,53.52075656093792,56.71203132763305,60.26761551673981,58.00866943066116,57.42298190386817,61.564347997758375,62.05481405524554,59.07305173996754,62.353220636719726,61.972876382978065,62.799836279219,58.93457635725894,56.57822427027748,55.43570499741254,54.30401770776998,52.26928113804031,52.38456903514687,51.58830361716878,54.470116465625324,56.432254972407684,57.38711171126275,57.60571169099742,63.02688222404483,59.87887535025382,63.56378317214532,60.81292590217107,59.649467915395604,57.519481346554095,54.41258869497173,53.40442595303076,50.68808501522122,47.26456572368427,49.43648507389848,52.14424977854957,54.9727089962607,55.50362617391933,60.67481909716727,59.36780887854025,63.41962231195484,61.19096382829746,59.975730621124804,55.6600946078181,57.56722608767226,53.50480988152967,54.868510313061925,52.457348255951274,54.19002868251052,53.14077174349316,50.58392132545536,50.312220519631126,46.686606326539916,45.411439156306315,41.062512043055015,41.356786974299055,37.594613449420066,34.90520534427959,38.410077770065875,35.812627802059815,36.71963033740465,37.48288377745686,35.67891676258845,39.05945115523505,36.72817904084016,39.99659702822821,37.96283068720721,43.47777699377963,44.853272538932394,42.64198783586581,41.405927285324125,36.74535419202759,35.69367228791543,35.35081361407341,32.062065880583276,32.07077216203718,32.18352770218833,31.9078008471695,35.20108250691783,30.069075678711723,32.95864469281336,32.49945569071368,37.06662525694495,32.27617260203137,32.076019892519646,26.573759830196085,28.66898297582705,29.113925345703038,32.760694366890284,32.71488637184387,36.28569903365915,39.06081123621388,37.52601256590244,40.714455606976315,42.11875146945987,39.489905717246174,41.29533221287731,40.72480958746523,41.30193949915052,42.02586810594026,44.93052113985355,48.29420576271359,50.946788997015865,52.28109513251893,50.51899021230123,48.00571123771852,46.13254253815696,46.4494767463327,42.53822066352616,39.282457637946976,42.8706213001184,37.654104655499054,41.1462785122151,37.08028081468231,32.17662683352801,32.091422416407795,29.937483119468197,26.81481485928007,27.130287361388465,29.059432980637894,31.64467363427903,36.250084269125324,39.544616301099886,43.066796304082416,45.773918292847696,47.375044146679194,50.85950089879108,47.691134085449356,47.23926027228069,42.48237004939067,40.84954849781609,40.34975160189631,39.9976258006052,38.31869731412404,42.44530960025839,43.700247484953486,44.87123358459823,41.41381244765762,40.328230919468176,38.07630270776775,37.606282499361214,33.94966498863927,32.03409314139767,31.573141424460218,29.592272538488473,27.015467583294548,28.920548911599536,27.142342086755626,30.731745484563394,31.45218200310246,34.53849857355738,31.973211319740688,28.761512215373106,32.588861298735935,33.079052943384234,27.345862933252373,29.5671694902352,35.23463991022437,32.13751622951463,30.19592942875805,33.49884277610764,35.403236958490965,31.75145114568185,31.660585515654066,28.416248784933643,32.87179760498656,25.67422690467072,28.279993412048427,32.06004502121119,32.64371527906613,37.4143685288142,36.41699783823372,39.620469623846816,37.82303485701761,40.22576832735628,39.50005976819004,40.32372046842423,37.620137653802544,33.32222758236531,35.98723331772564,35.25325994559986,30.797098999721992,30.420788542779846,31.683169739595385,27.88842078474644,25.29202924883407,26.582533788332242,27.360791364463413,32.86844042059798,35.35153416031573,36.83219126207665,40.96792933458246,44.57042158912205,44.12125309792136,39.2680939498519,41.9408703040374,44.979267423876244,41.21239900221703,38.79510830391438,42.84913665152325,43.07472400154773,38.94305147905433,41.202593761992894,43.93513239914695,41.563039304325294,39.330521602631094,41.61405699833963,38.436448134789536,39.96407376479934,38.797462017431435,39.305417809111866,37.672416445820645,33.62956087320686,34.37474707676005,33.26691414654819,30.948826692966858,28.690590115153054,30.76408323715558,28.229355789865984,24.600785954998674,24.8517374372333,26.124589630121076,23.316393093963754,20.618040203003282,19.584063088656862,17.518123128089012,16.335023355474178,21.141910179360384,20.705044958741038,23.761742319460335,26.036829500981156,21.830724819229303,20.225676469009365,17.090556302579586,18.31450267645571,22.608819540492437,24.953229785112644,27.52279505106339,28.92422475317683,30.627990361507926,35.614967435656936,37.83271473457711,40.29573430163729,35.38544405882839,35.825206561484,40.02184566851616,37.898334126319426,35.47049370654113,40.30578660221937,42.91814961156635,44.947698301321594,46.34908282009159,49.32411128965573],[31.192319621977614,28.406387946229774,26.164354283457786,25.174368138290188,24.567068493713478,30.559519388435973,32.163260857585755,36.307398447841436,37.96606768173901,38.18977916250819,41.90993394594413,44.29094905577836,41.364629901672686,40.90616325174093,45.61179045060015,45.546421731246845,41.99915281132698,45.395407143324476,45.35664068613291,46.354096850885824,48.50486874382992,50.06702823131251,50.360631449455944,47.764298584473956,45.37921908650696,43.589885270865615,41.68864215832149,40.22501770546562,43.372383125835256,44.569012015358275,50.206486159808954,49.09684599612843,53.63336776690474,56.032408471022784,52.22664969498259,49.36895767636488,47.57404942264714,45.278556371934265,42.60622417364126,45.179112236668644,41.68220848750785,45.81583560177867,48.872615041194834,46.384043021273904,46.598053815134605,45.1094087696253,48.57527832284358,49.53407322247409,45.73276213666646,48.841718583427735,52.17143812487205,52.68551961242845,54.462787772718386,50.41458570209222,53.43032351719823,57.10113820587741,54.898927944305775,54.117234804657734,58.25517163380894,58.94354779525615,55.907375654635665,59.094189689587004,58.572499452051964,59.593652392261376,55.77872164633325,53.2512909725727,52.16717598802163,50.863941809471356,48.95329427225891,48.929769571760865,48.26504551030664,51.256193941378896,53.06748237707452,54.10941148538528,54.12388516291348,59.57021851422289,56.39890815730629,59.98368833875977,57.23726954261212,56.15647617222473,53.89824720963009,50.88212297704488,49.70545718589292,47.09379486830362,43.728005537635816,45.77880983223272,48.58942255980359,51.25395101904924,51.90935494015639,56.97059168850927,55.72073144099247,59.81397499357007,57.519245432038794,56.20676592161986,51.878563655981246,53.808122551287646,49.74981337413061,50.9706801742023,48.50355411339482,50.15608174443527,49.13723870695127,46.51899989776689,46.321663459881805,42.65460198660112,41.491509212916114,37.06847576743804,37.42001839745606,33.725177860552506,30.93158764316648,34.37788564950666,31.729774524217483,32.67587809479912,33.460910277357236,31.752088847964107,35.25376191170235,33.063036477495636,36.439150795422535,34.6556268903848,40.278167801012195,41.41145528729826,39.246414041574084,37.86598522115942,33.28154893275624,32.030964240833825,31.528572783975115,28.14717456962205,28.013682267491564,28.14090263409259,27.869399697889957,31.26677923567785,26.1937947756357,29.239363058725292,28.912400594113354,33.35683570579474,28.560362974446974,28.22843151694238,22.684782986965896,24.90838882535315,25.5201712697508,29.21389639524513,29.574037643065825,33.311930785439756,35.84820044646554,34.105733957664995,37.273344753378545,38.48456182406842,35.790410731694486,37.43811373937025,36.75965279756529,37.294610337329665,37.95252941074095,40.88555471120647,44.21986417344793,46.93032078032499,48.24869432529685,46.45838282105745,43.9758591254391,42.068648049241254,42.45720884432849,38.52610203031059,35.39586375763815,39.10523841615518,34.029154999286945,37.60211595684121,33.72166575824375,28.95995173547046,28.86140766785361,27.07826292793617,23.70047404931096,23.805652422783332,25.55237969345291,28.04801888027696,32.651887166614706,35.84521908398895,39.30847678407174,41.91706507819401,43.49131274319368,47.00945278216539,43.97139520177159,43.5025909692521,38.88399405867726,37.029195085569185,36.77297172702751,36.6275451623391,34.90697038676464,39.16933672556233,40.409833159721124,41.818571336761764,38.58763889987649,37.47134737095351,35.37377638283235,34.612900179390316,30.961294741383828,28.841704387599624,28.323201605374976,26.38982788124873,23.464616031789273,25.366214084049872,23.456582678309502,26.868731825964936,27.80274971221761,30.723030717873133,28.029158248095236,25.000403364923923,28.955176948770383,29.262884040561694,23.550023742030064,26.039512986597245,31.6727911993193,28.49077949054448,26.765137119050234,30.212578510613948,31.935672696709403,28.403908535096033,28.647668113370063,25.358261131967406,30.024031163644654,23.058631897463755,25.306139442336633,29.249009994498692,30.091824174990688,34.91062967914378,34.058437056440056,37.00600072850573,34.98931475568796,37.31117313158854,36.28753863176412,37.40726501006861,34.90851402650365,30.22527901552605,32.89823587613056,32.62136574292621,28.079104652381716,27.369515788028433,28.84642612529724,25.447162466977602,22.488622596953324,23.424683489918813,23.932488893257833,29.32087077650756,31.94737271474904,33.363830117051336,37.398864574636434,41.04568923131279,40.388177977279526,35.544938636598765,38.33892585986269,41.23071031113447,37.347066254015594,35.06161401918125,39.158345122770186,39.31460634952783,35.23801288654883,37.6960810110782,40.41345881218308,38.000502184393,35.96135077121449,38.3753532312327,35.21446835283796,36.716345139626014,35.37897367732437,36.134806531868186,34.66432600953974,30.328275831882475,31.155727863039584,30.394410775943534,27.994063779171757,25.47803097225943,28.053285439594983,25.816611302893907,21.70050031765113,21.93810432933534,23.92178636852829,21.25446096848689,18.115920681865376,16.59043458432501,15.476953553469116,13.971459946927917,18.816088632368437,17.729056479731412,20.408974705410728,22.479740116514566,18.44745855570797,16.59286571889334,13.563458931902533,14.502813209080337,18.898591054497572,20.93596287941067,23.541381700588172,24.838125773131875,26.60327156585398,31.586606934271494,33.87853641768198,36.260778382485036,31.349393518151782,31.930573548234033,36.11036774177078,33.91391484519255,31.652842710927516,36.562848046261536,39.065372498469884,41.05555715291192,42.39837253369423,45.400915050803015],[29.122708697541682,26.02420573608977,23.19227067329114,22.031405639041722,20.63797036155617,26.85586604548537,28.109869616630835,32.17898227161505,33.970053952109666,34.02044826497989,37.76915854323164,40.063530674493144,36.95057238672969,36.70457406949258,41.290460690743565,41.07348673404652,37.52546586093145,40.92486724494278,41.018985559237805,41.84588682925974,44.11202567499262,45.63754110273436,46.09226743841563,43.6194792085076,41.059752573661605,39.27126709069613,37.19263137462473,35.69485847251759,38.77963511416085,39.92684141662594,45.68347535374483,44.473711975288786,49.03292233716849,51.38534508321458,47.534365330857526,44.707642518805386,42.83866769507062,40.5835325207708,37.91642027799218,40.50970400393431,37.12059913693961,41.27850983526524,44.33504181927019,41.88510517300826,42.268360983672025,40.910946953687365,44.423082869031084,45.18305829750991,41.42433142230617,44.643571289367266,47.822615214343294,48.290585018476214,49.985763412570556,45.900402718717395,48.80592198463641,52.539631695065744,50.38140419126665,49.48709592315558,53.61595155739236,54.427581817808225,51.388124588464855,54.546293993289474,53.972100029888324,55.1400257939502,51.32992469310157,48.70326098922504,47.77024315334543,46.40255826389862,44.688191861528814,44.666492649423816,44.14884500564624,47.278368606068796,48.87959001745824,49.86307759569046,49.701695268318936,55.09176212578983,51.820814227191605,55.3436356387227,52.54966101771146,51.46204110300241,49.139088581892956,46.14167483358924,44.9218566317988,42.346046523656476,38.98964535055468,41.006347817391905,43.86890927850523,46.487435615811144,47.23105522794718,52.27641158269756,51.12144197774629,55.28076756987821,53.02184414106994,51.700722027309304,47.42754846871357,49.47893290906189,45.49083273814185,46.51856704251628,44.08637125223491,45.79429273213002,44.55374077729959,41.983548378202315,41.62721071923331,38.03622815948433,36.828644430881326,32.466466088357485,32.99532031961187,29.334101020918688,26.604850108164975,29.98581029705778,27.36483462050382,28.074279860109694,29.00972689908911,27.173434151244287,30.791052717465462,28.63178434756108,32.006958217880964,30.388535046422184,36.060328496490776,37.078446756176774,35.066149813459454,33.66443805321776,29.17218497439308,27.810675451445473,27.31922365179321,23.664588829016733,23.757748176987644,23.54681897815889,23.305689005145524,26.633656521363392,21.66857021229618,24.91360587298118,24.446043194969267,28.792139665871797,23.86916581905663,23.44863322413546,17.92793934010717,20.175605520979357,20.978419227203105,24.616014030365708,25.326745587120822,29.091970134824315,31.474185882519887,29.580698329514725,32.657159831091825,33.816028983862495,31.13784899086475,32.781747354507196,32.097879261150354,32.8146446938496,33.537657312069925,36.65690651060528,39.99628259544564,42.971890876778225,44.08482833181429,42.10195657389666,39.53009250410541,37.55779623517759,37.829048686892335,33.85330891174644,30.625923553286675,34.33974002245419,29.301053214856278,32.8707656458577,29.080308398311374,24.430739325444296,24.335351497724158,22.858354202589776,19.321708104183177,19.222825206664307,20.862428558409597,23.304820414242414,27.90333664185171,31.070345385994525,34.52064513206258,37.14536443929601,38.72457323266028,42.23635848800499,39.19151118928353,38.756498584126085,34.15942132273679,32.30562857530855,32.17619635052483,32.148298806471445,30.32076834868815,34.59905696181151,35.79721220367228,37.36628923329729,34.31614188593578,33.21516776793462,31.292566210986077,30.3240221464932,26.75903749278026,24.54005850476254,24.12033736381308,22.447771348913367,19.229988810849314,21.40806956208355,19.694563208208685,22.873225549841226,24.40208501935742,27.108068702974006,24.20263722656724,21.727596550748768,25.953181336549033,26.01594163903918,20.525264362791578,23.52739618570792,29.023355441518508,25.815330753965892,24.5981869318587,28.254375440341438,29.620686825752976,26.390816458947555,27.266623965458084,23.962001026914194,28.844135091219492,22.374306243840046,23.884124236442286,27.987972940858434,29.0361412901925,33.89153348399732,33.05579856363838,35.50736112040008,33.07781863441651,35.098022916577754,33.54472989057354,34.91760489057574,32.88510862082349,27.70358313710967,30.107094558431537,30.41814827109038,25.94396733755145,24.619102016495034,26.087481716238255,23.45542602736557,20.26979493903446,20.165670216559796,20.740807458502314,25.625774773404736,28.55305242248874,30.154551067678277,33.940204327544876,37.79253701295292,36.729838874055766,31.972309193998804,35.18363339626755,37.803878089020415,33.71627937835117,31.840011787351724,36.08277216434466,36.160438987995356,32.26814546754526,35.069293360050395,37.798169817408876,35.390139313057205,33.72604960224519,36.305380214255905,33.16197958684724,34.47228452865023,32.729015808074735,33.79721514301805,32.79161315713396,28.060762840213048,28.76431132256468,28.652486338774985,26.305998836177487,23.212329255402132,26.365679033999175,24.853536928246527,20.19746719750988,20.024519011349895,23.00509362971012,20.89731329502313,17.35328750833155,15.392862420970136,15.799973096728056,14.214119785002872,18.78370337658126,16.781091815814687,18.559162160521637,20.153081128363386,16.629662163832478,14.296964470421642,11.692836892848245,11.602580577826732,15.9589768355417,17.125105907003373,19.47442785977206,20.53795517388802,22.807277987195704,27.659421727210464,30.239527859624538,32.33867217464291,27.466767326565574,28.56739802073767,32.652036360389005,30.130637209468592,28.42993652126839,33.512369324574095,35.685657474232,37.49995776610035,38.60847929702261,41.63846414189813],[32.398585968068474,29.39051209130188,26.48364599831726,26.218132841438102,24.62392783440014,30.931103698397624,32.35109469696302,36.16442036564897,38.36904314605963,38.618829325522526,42.401363667751085,44.426073911994045,41.34586272841344,41.4546989761378,45.91157150849085,45.47831295576161,42.01272975158265,45.389959617238766,45.537783539886895,46.02833720305233,48.28158174911336,49.479370169669366,50.051636448109136,47.53930938851708,44.945616445298164,43.48643627428615,41.26864726885616,39.969255440409846,43.0012238248221,44.018139437262725,50.04251721183314,48.50110518289202,53.08214713591145,55.41128267137148,51.43430953321618,48.719352705387166,46.5670693051476,44.34174522411051,41.52415555422358,43.51657283358841,40.47290313589596,44.975815962227536,47.71826556189115,45.00855508073836,45.3739084878997,43.7462919821472,47.187623105294286,48.01279790898843,43.95542012197356,46.84875447494925,50.195862643387336,50.461996366868796,52.3617081341059,48.61065072239298,51.45341928387019,55.21170925231032,53.34930442886445,52.63673300730177,56.65759432648696,57.45942759144119,54.80334447324878,58.201378177534224,57.78333561221265,59.09297285625102,55.14372207384909,52.56999283288866,52.05275403719721,50.76820742263004,49.33639380201655,49.40794860603029,49.02036726829789,52.23579374304545,53.6687252048707,54.49766768608671,54.18329928434108,59.41723267588353,55.88873709016818,59.3130338315568,56.30762155334891,54.96538952083379,52.45766346961699,49.18808436156112,47.85223952530078,44.973947553824594,41.86022165018487,44.26157954333745,47.363693654280304,49.957571227399384,51.075980975184535,56.14637959241226,55.2872618969838,59.58335127441609,57.41237518191077,56.03942141817726,51.8493145671883,54.03639517975714,50.117296406036424,50.77163823994319,48.236944988077084,49.61074107662605,48.304377830057255,45.308020769139475,44.95554486833603,40.99720102478996,39.27010474452479,35.068799859023294,34.95788383304076,31.044664938429506,28.659990374629825,32.428521206504655,30.374988192082984,31.51081760852503,32.97418628267749,31.32434313308215,35.26748432091471,33.24237278055843,36.57322778646428,35.04559895546819,40.66460491760926,41.72884148195636,39.916803602340714,38.524564045766255,34.13804557084792,32.65144626781597,31.990975977872903,28.020244120984543,27.580452479534525,27.093125898223178,26.234170596156694,29.112572977916688,23.735543582641238,26.20681031807788,25.905193211958075,30.570803287903715,26.197018662553283,26.600590864838686,21.123357112540557,24.09183530379336,25.405348173582112,28.783649596148486,29.717621619359633,33.128418711054366,35.69707081007047,33.76192140342826,36.504952233231016,37.80779838028436,35.25682027259522,36.82721484315123,35.87787713079969,36.78750176683773,37.07166402773724,40.426227379493305,43.34049068669274,46.492346656210074,47.817506950886546,45.74154438132628,43.37252711645602,41.03938352831492,41.556950183128684,37.13893398065331,34.007527427693056,37.92212375336378,32.96928090499605,36.158455402954466,31.996361783425684,27.60932025024281,26.72481261862099,24.90597189221465,21.39955637984658,22.250843296493358,23.655818918042943,26.645741870702196,30.807273498050954,33.9552327567178,37.53149986708533,40.04717797956268,42.10187026775723,45.13688456377038,42.038800453057966,41.25152174475306,36.631487915257495,34.79443413567401,33.96963095777493,33.604451697510214,32.261158248895384,36.7809019664587,38.495285144641784,39.671682608235585,36.61193455765899,34.96492204500483,32.60669937274075,31.789469459993047,27.855075398510007,25.685247789578106,24.880323807733074,22.614079561919723,20.200492895620883,21.919906270340157,20.373612479748484,24.26702400830005,24.951154420084922,28.33982680180722,26.059047586918158,22.90681297041409,26.81807621925659,27.802360061139066,22.566593125804438,24.63015527354435,30.30446254994318,27.979509764818886,26.373296410051584,29.65280420144846,31.743210196218005,28.791119319464823,28.881048768481314,25.380434172090624,29.593829356636405,22.36229832755828,24.044032254919205,27.86551750508621,28.002841030476485,32.99116424119754,31.444459158371664,34.158642379434234,31.9158186476384,33.94689742705104,32.94916237441697,33.61886065096388,31.24173645272458,26.775262871744626,29.11272211276296,28.48773448014724,24.12519558229449,23.467001607661857,24.5686585990164,21.057546964991058,18.48050684680408,19.38165554312081,20.521788998706008,25.889488790490958,28.35122162837178,30.15462232277988,34.241186387561086,38.02234380405247,37.59394603635754,32.81466596316941,35.80989479592546,38.91057917200048,35.27232921417265,33.10017040117866,37.41779412803742,37.921771742537345,34.00850015942161,36.14942054354327,39.17729391322493,37.281957699356155,35.008212657935985,37.11368578581808,33.736721206118666,34.71871036686116,33.08727815936521,33.446425221363846,32.44761115147715,28.353272593913566,28.430055555394866,27.747181967969517,25.78851563699691,22.831600677293647,24.82321326733778,23.135033554176132,19.353641715473742,18.68203653628728,20.523723557388518,18.558046026835054,15.675554187252953,15.148115393751027,14.072946994789293,13.9510229815726,18.58830816561535,18.13164204837575,19.996539629074434,22.668568637756817,19.374980085877652,16.782978493584206,13.34827486685544,13.292913219192341,17.072279935775324,19.64760145400703,21.511277401039788,23.668127803512533,25.721898925299815,30.22382255627299,32.58913355714447,35.1781315450289,30.643765588013128,31.384414119510392,35.709385689464874,33.75971604633582,31.934791420330097,36.824935889818384,39.18282426824676,41.193294084351,42.378611015309055,45.44657531549905],[30.978419160248272,27.699514612073408,24.160998805959792,23.988330535807435,21.454526747675963,27.928623104752543,28.980833184843863,32.57510659541066,35.04227944826793,35.16598016438125,38.954825932682525,40.77864591377211,37.53167709202896,37.997293140677286,42.245453576964366,41.580154916655104,38.17995769643563,41.54556706784847,41.888320062471536,42.08426055435393,44.47490200416945,45.545281976403345,46.35008181651083,43.996408514921,41.1890250938995,39.816550961313304,37.35026863987061,36.05739247317498,38.95900725180101,39.852623071880195,46.061484537467656,44.30249311503718,48.894879977435174,51.17052626426314,47.12445856795024,44.50116080030415,42.177291566660635,40.0481045521881,37.21438475913514,39.06063939476724,36.28067389869682,40.88590028132312,43.537754275398896,40.815869564142766,41.396578240754906,39.868675197998186,43.33773829256364,43.92267430677557,39.8414642481343,42.787972112449744,45.98345827524758,46.130379677479176,47.980505743758656,44.280797296021085,46.94674587440845,50.794661271577155,49.07199083256273,48.25682073093878,52.23065788658189,53.19096509025999,50.630323097559305,54.034133194283775,53.58229511472011,55.11010368673167,51.15183341476772,48.471451638008624,48.242269175775874,46.89254188268111,45.77573393975095,45.851597463999425,45.67741840603575,49.054365182369146,50.19094713027447,50.92474502332495,50.35734215472927,55.4689486948514,51.776340869946154,55.081682934031484,51.977685888552685,50.57497111968349,47.933193877235034,44.62820410064189,43.18788530929626,40.27816516071651,37.261661513466244,39.7171039704734,42.955425829324405,45.459337170186444,46.79504201415415,51.82169945874508,51.15669712515597,55.550197607262724,53.440274948431295,52.0367167164875,47.946464500838175,50.29310241782141,46.49028394536738,46.81147452281337,44.29210401627647,45.61965974516106,44.05558208732951,40.99395104870954,40.4721225912763,36.49527603253004,34.56950323462554,30.489481156123528,30.387219876137713,26.434320911335554,24.242206985205666,28.051538749040418,26.230940548232056,27.226901722501612,29.04105396677661,27.3410044668058,31.49475950709284,29.597484153698844,32.88595486655573,31.626739816784813,37.232826520218744,38.13733661778525,36.57236320595817,35.15561214808662,30.973383638921415,29.324733799524655,28.61005736070949,24.27580802572214,23.895112378660574,22.90363648763152,21.846943112258504,24.46494475121199,19.07047033484238,21.525645315738203,21.119914504959024,25.783817574875073,21.450724631132545,22.05599195069757,16.674370819403624,19.974703621293237,21.729179452171767,24.88067590375399,26.346069230481994,29.641554215190432,32.030260740667025,29.90047049649456,32.400150181485195,33.64833603033294,31.168472383290595,32.671637267900266,31.620512718524843,32.78998386194013,32.998484092612664,36.61878317536216,39.39309670876609,42.883617389060376,44.02899676028395,41.71969466678743,39.3246528831406,36.818716802029634,37.28354489474617,32.693935154023535,29.511264661125903,33.49670848967269,28.671579007927576,31.72028309793558,27.5867852606249,23.49180391718559,22.306458754930887,20.821539402086447,17.082986976558978,18.04615257987967,19.155835096512696,22.269613427766398,26.225842731953797,29.30941910210885,32.89465983639184,35.37335151263415,37.57371614839447,40.453821253922186,37.3553953659215,36.49549936474985,31.916945288488883,30.052390659434604,29.180446329772916,28.877354845940317,27.56048871806708,32.20887108735343,34.03673858980746,35.316661388585715,32.506418120087396,30.702449333815412,28.44076087997551,27.368253834924737,23.399005808808734,21.065198201985005,20.21996842589762,18.05580076738228,15.475139792932742,17.416751139686287,16.197334751596575,20.047408451232315,21.242648049139053,24.561187477033112,22.22279925752623,19.58958969805271,23.72331229730433,24.66719985859415,19.866728939416497,22.24716271116668,27.735290018604324,25.64829313248756,24.5611085215253,27.940559333864588,29.77041136810676,27.272853997580654,27.88508236165683,24.383469873194237,28.630622984311113,21.9293722837724,22.755578884650802,26.64558008975324,26.83719962983839,31.851652329316654,30.19864026309772,32.34350816894095,29.646019625109247,31.296318563108443,29.766619353694033,30.59087321802943,28.72753972441558,23.801718313918574,25.770063128218244,25.685835097386953,21.446158546095848,20.1244877044669,21.1225616931926,18.44540676282094,15.708754782841156,15.395116329451366,16.838065166121137,21.69192252443322,24.42772669431924,26.53131730013807,30.385723698757783,34.40774864051592,33.64378211589637,28.9659085075669,32.419804233917986,35.30682219600969,31.548918492839785,29.805925632002882,34.302121980118855,34.82014274315011,31.145714921506702,33.512493091665675,36.608870479954504,34.85712996825327,32.88970183405323,35.06312969349821,31.677049977217866,32.34768590989731,30.258189435733538,30.827168117152052,30.403801950113742,26.01092607170476,25.771790392403123,25.772105880575747,23.990082367267725,20.36552040680522,22.796678246179994,22.009922074080997,17.81527528327381,16.472446261153106,19.347529116103964,18.171638492337202,15.001933828736874,14.282276913949973,14.77844754506061,14.779870521427766,18.948483716254227,17.81058142373646,18.61200749636408,20.953394198502462,18.405806455151364,15.310064601628278,12.31287573607824,10.940804792420868,14.277459127727194,16.16791693692966,17.45270450129954,19.722368139300194,22.29902736939512,26.468129278830524,29.10152846274296,31.479282480556332,27.13934276052982,28.380931519590526,32.62019515676226,30.482528304383322,29.29277072714355,34.267981516837445,36.27885434762932,38.12652136060437,39.06173319452736,42.149304353735786],[34.24166493098375,30.936085789454868,27.484816320760984,26.40665179339653,23.821647452726793,30.27775632315404,30.832750588035356,34.614492437653574,36.66457778045728,36.166550402051854,39.88824198419506,42.07404446141564,38.3268053286773,38.442950231957255,42.63550329687574,42.015545437824564,38.18838285645049,41.151863737021856,40.8352345932893,41.13703921139195,43.08953434875675,44.017546077988364,44.471615385722,41.82807873264941,39.370262175549044,38.23449768359827,36.18524112682005,35.34379995921291,38.67687433439083,40.122080804092406,46.14881026927288,44.929459603436555,49.555882292750084,51.44471723229131,47.35827058086973,44.369701715832456,42.46653035751226,39.61293156863047,36.6003635038437,38.30430137799478,35.010507825105506,39.62222260918966,42.19990247433229,39.370685900512335,39.493668354651284,37.728286012912356,41.12970144866738,42.143490587948236,38.096982669083474,40.913128506927144,44.38504044962021,44.81567964026813,46.77234533745381,43.00342722720765,46.1390361725498,49.707199654403894,47.70842591303724,47.272561465774,51.31949882649519,51.831383156627,49.249397757006044,52.82381411318722,52.6821623769481,53.76423804984574,49.68329191990467,47.3716820247221,47.02871392317979,46.10902997951906,44.79093665095616,45.31176778867155,44.90014371357775,48.138263575631925,49.47945848467867,49.88405216010812,49.74699209912575,54.756816056012404,51.06724977670328,54.65262812273435,51.543934316260035,49.962981798025936,47.74420367728808,44.283445773783384,43.439493298599594,40.376082316384164,37.02744020829373,39.66736906106167,42.50335490032052,45.525283961225014,46.39492946855592,51.76754547629309,50.93726854642918,55.24889948161999,53.389552423099374,52.32943180600436,48.346286456282776,50.775428873226126,47.04885683161738,47.70130322016987,45.50047691165851,47.38108980749752,45.345035912508074,42.83588233251581,41.75387336359377,38.30123555928484,36.18280149036995,32.44275281793353,32.82529325320727,28.878750433353403,27.028726283460927,30.655718830997234,28.75488487258135,28.92874188063981,30.602420195157997,28.22635684887432,31.942063801076557,29.50778500603116,32.42940173519972,30.50585887073498,35.89954758014649,37.4326512298145,35.88430522947545,34.929197660584045,30.55947044604063,29.485394507019237,29.45855083610606,25.189086423932785,26.03523167184739,24.60976497388109,23.979930923169285,26.282336946991073,21.20015742505634,23.81383775849294,22.478695503593002,27.22927143811845,22.38103401622201,22.87758535583035,17.783222920713584,20.089490994944974,21.224527131444166,24.239729392178333,24.691854534366435,27.63747255054995,30.5660071947693,28.926390600176983,31.514784414353972,33.323686499639024,31.054701833071455,33.18141508200925,32.6773652827349,34.217244751406426,35.02549620918883,38.71374482528276,41.82862133094373,45.47500814364943,46.197709034915434,43.69743858855532,40.9304184526972,38.63948625018634,38.49424866694156,34.17197046743077,30.302182005112638,33.69777154249044,28.361987100002843,31.29379467166449,26.77893477154009,22.12390320060086,21.416997555740274,19.09992805812958,16.01468486607285,17.00484164192208,18.885263466644655,21.979982659559184,26.183438933482012,29.62932542072568,33.33962038518386,36.276857181340304,38.31315332905559,41.30435254342226,37.744980718340614,37.212333872312755,32.16486460224005,31.174450999214187,29.990146279038765,29.28797775743747,27.634920110598625,31.659449006553217,33.18726527562532,34.09248600059549,30.743457041760454,29.357265587894318,27.032574921177655,26.599960233904213,22.93273615292094,21.21562643100374,21.071983658943136,19.608882535409478,17.513745366007406,20.261111717253836,19.82648199161831,23.453380739193513,25.321204433162006,28.447530034840607,25.868548198666094,23.84325247807419,28.133554060237685,28.75623363901224,23.97310941739629,26.79566492843758,32.183571586764984,29.739009509939386,28.860638197843645,32.410613805493924,33.89803702917563,31.199404821789802,32.1553716853297,28.736182495421144,33.25970384148158,26.645920129521315,27.583745498319722,31.539147197846138,31.817007032879744,36.79671733369782,35.12257109315157,37.19176945996381,34.38146893801337,35.82819452088041,34.08375702568725,34.75012275256939,33.16166306562572,28.235288495338214,29.793242383385678,29.678482130049577,25.708605630140283,24.141435279734424,24.575507552512573,22.243325555858362,19.985632746400015,18.699337393500137,20.945901344500147,25.089111925079088,28.075055439408153,30.594787621251143,34.19337639151825,38.44168864117502,37.33853507786186,32.81079540513202,36.654144937633184,39.29839591892609,35.349064122133534,33.9909047261496,38.53669238213449,38.904459096125976,35.33500584191349,37.99890669874155,41.00871479178632,39.069647230985105,37.4008393663246,39.73372436345277,36.41096172509642,37.0848170293196,34.836003120841994,35.515684021594545,35.27188871098349,30.761914364008828,30.46782061620137,30.657377219063527,28.91466382696797,25.16050485209288,27.570496748191598,26.930425450058184,22.76744843986821,21.26310454980835,24.043372131714506,22.964187536427957,19.89041841808591,19.074207742887403,19.309475681500686,18.960202779813052,23.409360655931824,21.94053501630049,23.00110420057722,24.819746610735304,21.946747736990773,19.131192642756403,16.443084877225306,15.224261311815965,18.761425433704094,19.729288233514403,20.83412191690503,22.39164458669791,25.5985628389266,29.775629023824294,32.72078780782785,34.62098805910815,30.162889251424705,31.92966133896014,35.949437837472836,33.20554882554665,32.37934869210962,37.533005861095326,39.29078983395641,40.87845522907453,41.581620628449,44.60808203067333],[30.635470617834823,27.17100193677269,23.389470566328846,22.05241265572511,18.907840250885503,25.34664345019498,25.61694929233049,29.344944515593188,31.40983046131926,30.848512049771887,34.57273023972457,36.695406353826236,32.93737082368768,33.174861927832396,37.330413456276126,36.67729992999121,32.94700528544666,36.05755223216315,36.053220912347534,36.34910684611788,38.56856866650241,39.69942951021312,40.353705590165916,37.93912748298133,35.21710838162785,33.81455246183185,31.528098205869142,30.39325895118277,33.56107742777731,34.85206820978651,40.90597506906706,39.596188755922064,44.21861631111255,46.216346273903575,42.170020700717394,39.26686676863789,37.30571405247918,34.7089494159047,31.832292163398805,33.94955112616876,30.72383097231329,35.181301291735664,37.97193789218137,35.35399410788799,35.81460193339804,34.41063027650694,37.92620623480213,38.56231414810615,34.71078918211173,37.87027328913356,41.01550237295279,41.41386814931876,43.14974090135313,39.168725554377204,42.08771195236681,45.80261657277478,43.7653911335987,42.99302371564827,47.0775756326175,47.860929524465355,45.059853501208636,48.418310539921514,48.03215071723734,49.320349466866816,45.35764532828362,42.79275740192259,42.38718625303305,41.21393272570733,39.9814489333614,40.298617435370026,40.02643073771281,43.37406021900564,44.55940610294283,45.11607797043429,44.76433655169539,49.85664487367061,46.21970759040089,49.71489987394976,46.68086248364421,45.29693839634056,42.969093121792376,39.72297957356465,38.6939999560256,35.87845772226715,32.499709791384845,34.8399401296427,37.738306298888176,40.56343953138822,41.466612132489864,46.701524030277014,45.84428169298083,50.1692691853183,48.200064136518215,47.040992675050354,43.02429990862687,45.45029846474966,41.729141111221864,42.30432365198424,40.085714131659465,42.000203032279934,39.973848886816796,37.55586988524276,36.51482588206254,33.16077477504677,31.34744977982574,27.471023883174777,28.21581773981386,24.45695314676118,22.409594046127214,25.789462597248903,23.669965047989848,23.611928514206802,25.210335383604175,22.810957862099404,26.595394556195764,24.292070124256178,27.33774181509531,25.743028648178598,31.273781734593996,32.46860015014932,30.9543138756672,29.832874646993734,25.58651409038306,24.305950756327057,24.18126790579606,19.801462627389366,20.82640609365072,19.27469113777292,18.871281055077993,21.393252034442312,16.58103241071361,19.764544756179994,18.457293541878844,22.901507482537717,17.73908791161629,17.731757955994702,12.54403509576443,14.787905378675166,16.099157264223162,19.209355638786136,20.25211063910873,23.530363906779616,26.029102841542272,24.092775863732637,26.749324236161446,28.256975732072483,25.86389957138882,27.839165725058432,27.302306130093683,28.80797011817612,29.71697619148928,33.40882602720017,36.61833844040344,40.32097322873063,40.895871777055824,38.358206468423504,35.53713829787051,33.31579107614093,33.12658055796631,28.9156600735511,25.098437626273565,28.58868128554651,23.37186689773588,26.56705892506955,22.438703298901775,17.888948887729086,17.472522634217523,15.981197601348427,12.409933131173188,12.584496156944786,14.270007452546638,17.06919698478366,21.482571613271684,24.828959889063054,28.43956150925692,31.31655930535793,33.156537599795556,36.37325790194932,32.982081283131656,32.566957433318166,27.68593104063385,26.400927789918825,25.829997907745224,25.570641074195482,23.631466492873205,27.764511791833183,29.064735819798123,30.48586790808738,27.494856450566513,26.295819553599152,24.425489661289216,23.460621234734607,19.99624530192403,17.93433328585668,17.90780218721116,16.880273226991484,13.893011860353617,16.935877247740905,16.438572914476307,19.40321631940134,22.023364911877444,24.582016584392605,21.631578715829338,20.356245326028265,24.826544156135466,24.86822684124214,20.345648930465565,23.76452567961629,28.812392982093783,26.100751479163513,25.758617891882803,29.464623759719775,30.4104584645077,27.93883788628662,29.55943990201873,26.31918661594503,31.064648278769287,25.310645214339637,25.648791137434976,29.69402058896201,30.52950322575858,35.36125831452165,34.12253174811242,35.737215664198914,32.65730168168561,33.94450884324669,31.632848836688297,32.9110422329921,31.76206295254883,26.220249369217402,27.711567991021457,28.557674443362977,24.592006420042388,22.34527441539235,23.14734693103539,21.843538733889726,19.042017257032743,16.72186994757089,18.389511940312513,21.8824895355652,25.24246579131523,27.61518834851985,30.871610003862802,35.1856209575902,33.54841521153142,29.113973548981566,33.21773923077504,35.44062380271643,31.203291817535693,30.231033162753047,34.75594185190397,34.88560547138913,31.49752144114541,34.60758254776247,37.44740505054164,35.3424584788004,34.185315037261375,36.77627595337704,33.63100354773732,34.33076338598169,31.835631477238476,33.062258712429774,33.06998629795355,28.11263457335399,28.080771114607597,28.94223122955536,27.07150531681991,23.03444263324627,26.35979379026485,26.217449361689695,21.447777050565083,20.056745408218678,23.94133123758261,23.085411343855196,19.589685002079488,17.949482940340413,19.69287840926352,18.78034345151641,22.732929178909416,20.256928200619612,20.547947072193377,21.57516056991036,19.266477988412444,16.37900139344879,14.573537439232764,12.618060732521348,15.865964238631111,15.498749483395246,16.492561927097768,17.40621138508287,20.99676739290006,25.099820486776242,28.261858673104587,29.7841006449873,25.305266813876752,27.515049587603425,31.318524810290064,28.24516435117955,27.87633416258161,33.093285538964096,34.547650829034005,35.95211105066167,36.487119771768135,39.503523281917275],[29.49298776396125,26.16316073594531,22.917543562405573,20.55861258281081,18.262168348654278,24.3707613643472,24.63420879590526,28.753017432322704,30.149068108687928,29.37673750245649,33.03709762641404,35.61241206829598,31.885347462890216,31.45273499361385,35.86882031498883,35.60741195469636,31.699041699449264,34.77388532170264,34.478190153087716,35.354031020561614,37.4209478375783,38.96102094962206,39.27842928459329,36.75635652999503,34.283910269474774,32.50467688587151,30.617614909738776,29.33399591553502,32.69905714827639,34.27967271261624,39.87935391894139,39.130404186544595,43.706088758991875,45.70951048950728,41.84858582631689,38.73835080785232,37.248747392660164,34.48366475910709,31.776583005218,34.578306937595386,30.77850567414802,34.7627269072539,37.913979458343455,35.57741855643803,35.8361321778925,34.61797939509962,38.14175448271621,38.938625796339274,35.43681344828817,38.83822056548579,41.93012957188961,42.63583611953205,44.207445603736716,39.891309061105446,43.02563930500553,46.58958565630502,44.15035683085587,43.322632868530484,47.52329178965646,48.148991257306136,44.917225784766316,48.04032233979865,47.5623100982048,48.49540978219004,44.67624001320395,42.189033079045714,41.14132042415821,39.9893748783153,38.21537509499551,38.49660056866222,37.903258306918204,41.029182919481734,42.62475281691073,43.35903587543033,43.402011225701536,48.71489547913824,45.46056741853276,49.16096766673711,46.41540000221889,45.3111242377045,43.32266789556874,40.376478630271805,39.6057166820574,37.118676562993066,33.44233962980884,35.35218078598633,37.83979597932556,40.792939163999215,41.107029758256516,46.36664751743615,45.06255009351375,49.16147204176192,47.09882590372028,46.05890855040203,41.914908698034075,44.10048827459932,40.24814283720699,41.468095313459926,39.38993603952383,41.718977773294775,39.89229821533666,38.009725822446,37.035370553171646,34.13547920197173,32.96536438488627,28.93890665481354,30.29151054880728,26.86399938822413,24.436017532042552,27.34308409010096,24.562904461942225,24.102262337245442,24.86357837754001,22.240259127130525,25.412863675647014,22.79152973609717,25.845409975068424,23.841260777769367,29.408410144845305,30.765792476620874,28.8615486407963,27.82452749672764,23.276750573757134,22.36284033776285,22.593316887130612,18.879049722792715,20.61015626776849,19.68741804687064,20.114668780399413,23.16324969937546,18.951377252244164,22.71770435375203,21.363410612481626,25.36704274733748,19.80565759340906,18.783187053751593,13.773222006769224,14.649952651368018,14.819413144169697,18.363628958306045,18.52804236041939,22.25356807472354,24.75226987237056,23.09794552770985,26.30038387682508,27.754804091657626,25.222822633657167,27.394261575533264,27.28457341495337,28.436290237242574,29.898647805771517,33.14577297469973,36.86877104720715,40.16487785893869,40.60927132470246,38.31540304259472,35.29370701007627,33.58904067490379,33.12778660538924,29.5570673257139,25.670532781255453,28.778644407833646,23.38784468078311,27.030731736312553,23.315999888426642,18.308878252077903,19.07987646476954,17.674523171916057,14.568401143908105,13.55031192977764,15.737645004877255,17.67733604931483,22.61357450371047,25.980063419830095,29.3990737522176,32.41150462101496,33.636494222894854,37.40970770589173,34.06567182207625,34.08132361870794,29.234078197778345,28.052290487311346,28.16733873593176,28.15519319266798,25.76871404898266,29.417295353886093,30.065454820614924,31.74498168145931,28.56956926041844,28.097061737916665,26.611970219985565,25.772714241279274,22.824734371322116,20.96826449570399,21.3383672992619,20.76730917555285,17.405437470976803,20.496961515672357,19.63291416868618,21.969719386213065,24.86760657850389,26.877330074277896,23.48819843817728,22.475698465395872,26.976412279522474,26.274799385833294,21.36019780496263,25.29235846534575,30.235820309046,26.654757635962934,26.343823472496023,30.24997645625943,30.712534596046545,27.748275755475582,29.720705368714153,26.702084291093726,31.905071806585457,26.494204030031298,27.212488901118146,31.388117008798222,32.85849021780774,37.558654694964716,36.907715592829554,38.68801528688216,35.768464312148716,37.287228406112426,34.9107775515336,36.60821022355012,35.381714645087385,29.639977729048095,31.41728589213458,32.57279378094969,28.445936011051845,26.19220461222096,27.32303045406838,26.040027195445656,22.926014871827746,20.837985636627035,21.84576170185742,25.288346932746705,28.767009619761183,30.755533430311846,33.89312913660681,38.07273085817876,36.14164258450949,31.70981637774368,35.65599441724441,37.592535131951884,33.0880300204857,32.111369284689616,36.413363366360386,36.16141167628082,32.67773129979674,36.18145309151851,38.69938135469826,36.07516002414158,35.26764650097819,38.19077570172076,35.267320620447556,36.42103851882334,34.14523895334426,35.78458719096008,35.42282764630606,30.199014594643312,30.846397319101335,31.69084316112871,29.436277172471115,25.74754698739875,29.599082118607804,29.01299032504315,23.91709899482928,23.27801208088805,27.265387965664395,25.839743222422054,22.09117696998671,19.667466241760295,21.453619286562343,19.57372026188925,23.628282703268095,20.462688015381133,21.279565644815875,21.546544756071953,18.685657502515948,16.45558949747071,15.199779897317068,14.022077779051438,17.819609486619647,16.730367981281034,18.49363406428596,18.23353080990144,21.623076830258125,26.178518272185737,29.32352090809254,30.481998784706047,25.618214229172036,27.84697965183756,31.411709837007848,27.89560095745586,27.287061832544634,32.58253038797709,34.04532708329035,35.327204410491014,35.91832401242212,38.85458621305126],[28.83131532019389,25.421463712170542,21.937640770398822,18.99996601731617,16.028068585893667,21.775450514185515,21.326737704270545,25.34496254006305,26.529380419379777,25.288820325693067,28.874896083676017,31.526396155061434,27.49563003541555,27.05647832353757,31.33325002930087,31.017761600125777,26.995049999081246,29.981536053831363,29.68634639268651,30.56539084256169,32.69575733045704,34.35104419506958,34.73402289231176,32.34368177059199,29.75085872012107,27.821658763419247,25.88085024735706,24.5282251840855,27.9266022936285,29.631841205022937,35.15801869533098,34.578265941219044,39.143922807365335,41.030445895176,37.19400970068007,34.00630067189602,32.67456791068357,29.817281345907933,27.188848507371922,30.324125873285038,26.396167379170755,30.16823468431843,33.473032546091865,31.33136891236619,31.726627568253726,30.799676894990398,34.35747048043445,34.94469130932595,31.708561985811283,35.34763269614394,38.178338071643424,38.96881025253714,40.34931876506142,35.84951371078618,38.93869380910868,42.48381316787276,39.91675456027062,38.935495050508905,43.16654273999686,43.85955087202271,40.44024003317398,43.42167634878575,42.85303413926558,43.80468899232141,40.05284393131086,37.488905128869796,36.371575622146786,35.175135662765044,33.44536103291167,33.759175052992326,33.2268773561891,36.42791991427721,37.903293879217344,38.593839962384884,38.594108063154074,43.902081782317154,40.67559773893536,44.395506744875036,41.71236256155848,40.708318358273935,38.82176536122138,36.03383252803637,35.38301796081832,33.101550861766015,29.291932640892156,30.951060759683287,33.27102395275016,36.25888481505802,36.38874683575855,41.65888452896759,40.283922489124606,44.36293979227515,42.340171959667124,41.378397456713664,37.292564622399055,39.54813797800037,35.781349399915854,37.02676388668469,35.12225737460525,37.75653082939113,35.650001191798935,34.17031276502877,32.9195932122585,30.45876041112888,29.50074734843208,25.65846907003998,27.593822596624943,24.502245980495246,22.211729497867413,24.618399880628573,21.720599021289154,20.49478253695598,21.07031288840826,18.0251272885027,20.92547149716539,18.134314311849188,21.071063375666583,19.07913847732469,24.675779196612055,25.986116005732192,24.178905824560545,23.236632534339652,18.763029509139677,17.977011473541996,18.574096669930366,14.842747786514767,17.638785658029786,16.299974503689928,17.2780603119008,20.172236964786784,16.81386613418043,20.912052850644013,19.218462895663528,22.64728610045956,16.839929112522437,15.125780941747871,10.813773976961002,10.39506123598572,10.093574841304111,13.637332500160255,13.878207014838837,17.809149925782993,20.04301164506101,18.327335070753534,21.637886421315443,23.04698394386536,20.53195246892199,22.889963684358786,23.088134649307378,24.43731591619364,26.331129981202313,29.595327497933248,33.5057897144113,36.95718275197028,36.995929751288095,34.54175599820446,31.295306532128407,29.782773814434634,28.92293664783287,25.68320262959839,21.546191218929543,24.319211644315686,18.874443326673703,22.68768295161278,19.356322810854778,14.363561069256543,15.88617617240265,15.14824431128616,12.344033803700622,10.146160395524007,12.410008189537347,13.593340784218517,18.723820542839853,22.04265736876164,25.308737039484313,28.440494157214133,29.348405481385434,33.343982628419454,29.98463499288505,30.297545396585736,25.510791011734515,24.537753950367456,25.13773464900151,25.382078005077037,22.628201973536147,25.900244428837112,26.11339341985248,28.128764812398302,25.168136162738307,25.13054581591671,24.162468715856477,23.11590122295884,20.739614492291242,19.00358515925824,19.810775951466717,20.019640044433874,16.469870662680364,19.824820635899815,19.359143403398974,20.80495093086864,24.499483554813377,25.838788630438106,22.206239068572565,22.268613519484497,26.73790213329321,25.466311793846042,21.187108918683226,25.567630197494577,29.937316864099238,26.218269347456822,26.55670068987601,30.49311755767785,30.326908300044714,27.700775272305727,30.356619760486616,27.621633450915105,32.863601354868294,28.359130143450813,28.496284750008844,32.60200230625749,34.39889788114528,38.88343309456279,38.469005133544876,39.7617700783635,36.59626304751242,37.808496539489326,34.91501786296228,36.95750597514254,36.26438649506443,30.221681628615897,31.659170934247694,33.50334031248362,29.644971655799594,26.858239792577134,27.958289512022528,27.629901518907992,24.489594216405305,21.395490872901746,22.253095451456353,24.60406715745984,28.328312951566172,30.33835304795246,32.94465538098725,37.190282066958815,34.6797227301365,30.558313468442975,34.836402591587905,36.23598812092932,31.519228891291306,31.157098516304153,35.36775259184928,34.87053054227096,31.74383220710664,35.664526170579876,37.96946973579353,35.24519434904374,35.052262774100065,38.162296419839855,35.46411971494737,36.522943211943705,33.96662956753559,36.03090651286294,36.056766190965874,30.59364750469119,31.296452134274443,32.77298037147037,30.58031547115381,26.67795589073543,31.007904294400095,30.9874034696538,25.69422851730329,24.946358767495575,29.539732282714876,28.493260230763624,24.66939317576,21.945573173124576,24.6251641843036,22.59720572934606,26.127264091746497,22.341129156319326,22.41160430588492,21.79807615295008,19.679385548783518,17.614741448204516,17.309051214419814,15.595892812804177,18.671392837437214,16.093243960854444,17.389694843564367,16.059723366691774,20.007037850685595,24.166961758360653,27.581375925917474,28.058982367445306,23.342447746874278,26.275036243805236,29.379406865579984,25.297582542697743,25.502432695747547,30.785449951659913,31.721933722420363,32.627279352726895,32.860514959716085,35.70731480965978],[28.110116576655,24.540964173372284,20.470532828498364,18.801622608312783,14.972742628776723,21.264295832645356,21.114382762143105,24.756333763013167,26.809774340756814,26.12187482957181,29.834683571570658,31.896142350492955,28.09025089594503,28.462613603810645,32.554671989628474,31.85795412380353,28.222816155368783,31.4696418313902,31.788411134301406,32.07284407695601,34.55755500716584,35.89267186667088,36.745591273930124,34.58880855940544,31.61575426489342,29.942275294125746,27.420708344045305,25.975517913230178,28.956145614099814,30.095149463381166,36.16358209933395,34.78236286928895,39.399396988125,41.48815101729294,37.48777982382793,34.66561442657393,32.666679849770624,30.330612133721733,27.617244042957527,30.18404449286282,27.04574595012797,31.282940941770867,34.28246608566391,31.913108244215927,32.70871562609801,31.69601679177067,35.27991119569431,35.535654802567926,31.936429451905013,35.41117869206402,38.19240473023114,38.57078646120384,40.0684202942962,35.89272210468234,38.58427658255569,42.41128377248124,40.333154848140204,39.23043551576275,43.33437971514324,44.37418090652014,41.35975584720995,44.48367685254529,43.85641415144646,45.33772476237329,41.51032252796104,38.705263335322385,38.233950890753206,36.80967958917879,35.673556977562555,35.79165904892382,35.668379831871945,39.119364752201044,40.13411435906209,40.831495480363444,40.26550801300816,45.426628764559936,41.85065472450077,45.25367080728474,42.30493463630394,41.12725874997911,38.714186480921406,35.70755561389532,34.515485554066665,31.985040876357132,28.58002573372024,30.570690048465984,33.50078258106265,36.12397403012528,37.036551445890474,42.12765047882933,41.23750877981388,45.56715706897919,43.49911937330411,42.254243067725895,38.21304832902551,40.644025829921155,36.940878632814595,37.44003318488534,35.225051564422785,37.21479889597915,35.16019109879224,32.88880492721016,31.85475369161106,28.66484994656848,27.20771948480639,23.228489121009144,24.447167300531262,20.981823510399625,18.76688724091862,21.75572954871054,19.384583715894934,18.943274624227403,20.43173179543705,17.94942876366501,21.78946229260329,19.63081247640349,22.791011911286656,21.590812325021215,27.214832947326695,28.03620282658203,26.583148987345034,25.29793839378457,21.230557438807846,19.728380396020416,19.52624705834842,15.005477225874182,16.38914183574062,14.618427598977684,14.589836747861346,17.33264987263131,13.082995361864668,16.896274198949417,15.607789010736537,19.500341503576514,14.04435187886255,13.284272940486014,8.110032827439179,10.07441623236666,11.623498496492621,14.79800191809916,16.58525728147722,20.167236580306298,22.11688497062215,19.857290975983393,22.570291398499833,23.72821648293828,21.206660461346754,23.02580923366868,22.48745990967718,23.983509545818542,25.06030962770334,28.756440694877835,32.089113242273434,35.864944754918625,36.237379358514346,33.639655211628195,30.73227561926137,28.608711544240908,28.320587416489612,24.27281409398821,20.48893886119049,24.035175029614383,18.976566666207553,22.460533329721738,18.863638186745515,14.571388649549966,14.595808971167255,14.2012944058542,10.436181829963225,9.367215736576767,10.67643277621269,12.894521409130462,17.517194821659473,20.70345124556907,24.16007734098814,26.975161315479355,28.561350182085807,32.034793189389504,28.825854623894216,28.57459022257972,23.912697622187352,22.349575411288907,22.51499614164128,22.756541532365027,20.505333392750625,24.625331252066236,25.620205991936988,27.58488349240956,25.01978700902989,24.08594805560784,22.771910742505625,21.28557974918506,18.234356493834145,15.93925935872372,16.11129182149746,15.720639403898724,11.986617208837815,15.176399834785421,14.704383824500368,16.644756425099704,20.09341604434868,21.894246686775606,18.576127352469513,18.310659922139465,22.80897652997467,22.17439191651735,18.142816204221482,22.111966495025655,26.623521905973586,23.676297102687876,23.957328874575236,27.73037411736873,28.055049715071473,25.888011864121278,28.18944147266692,25.234157138308145,30.073612709836407,25.343671518341225,25.084371156332445,29.089773438656565,30.436591214249628,35.00462121092986,34.198720808381815,35.34257443684685,32.06127944832802,33.14779730844741,30.30720033874643,32.1525834723679,31.476441280310087,25.501919645259196,26.846593099575202,28.59675408348382,24.791906120224823,21.97735098655287,23.064406799110976,22.800812736278704,19.70102156971578,16.504146638722624,17.484245377607657,20.00663054710189,23.659649434678258,25.828676479850103,28.61711596705719,32.93697304922605,30.730414809236844,26.493792986934615,30.83191478795118,32.548069249769924,28.042306990511605,27.552083381751963,31.9833535347085,31.844400802050533,28.721013433732736,32.27853298893605,34.892658275258974,32.634536271064405,32.06206695861617,34.88472924145061,31.979730675245463,32.68471906530831,29.96867028155914,31.73513906422616,32.014384345097056,26.72373097526066,26.949461044158905,28.469079120398273,26.540668921424412,22.366543828718633,26.4425825207093,26.78236674560994,21.666091485157946,20.442336821621556,25.12080146741604,24.50578399364654,20.836423217835545,18.57937829896415,21.504928810009137,20.180193203858472,23.483123869653056,20.18554878073079,19.67821848322256,19.76327354756796,18.2041915475739,15.461875019779097,14.786589542170304,12.298469560154187,14.838585349987802,12.773421917545257,13.51529052756767,13.409993805508396,17.487356179251357,21.387273297547644,24.782531412885547,25.79265677330488,21.347995401447797,24.110594591879934,27.584998725643196,24.106839403850923,24.341031565814273,29.56766283289952,30.63666449281561,31.799297586408866,32.10843343391818,35.094053741568324],[25.62481324058149,22.138541416175848,18.424142931309653,16.7834575056293,13.869281901229801,20.254531257284135,20.79117737323588,24.715126898013633,26.6457755401695,26.431346693149425,30.2002109000383,32.34299056167277,29.015608602042168,29.113096365286598,33.51763613470498,33.1081826798756,29.661728539809946,33.17870180286317,33.69072614709807,34.32365811098723,36.92219979620668,38.563055922923624,39.34738753209504,37.224187536057364,34.29245976036854,32.29950074073174,29.850349895463097,28.06131686082473,30.898668413855145,31.849163150749654,37.7302064793813,36.346268067655764,40.914295934302736,43.29642070739179,39.44478779608646,36.73269138238691,34.75140987039838,32.77804398947922,30.26565859544718,33.2196629819163,30.048910933694998,34.03399167028571,37.23704450804437,35.03397294944033,35.86978437901131,34.96471126316683,38.55864981876946,38.79862439000606,35.300845234015796,38.85584512078337,41.576461050496725,41.96705365498296,43.38750319713134,39.13381326304652,41.72969474593239,45.60705156005454,43.47533202923052,42.206798887991674,46.32915293108017,47.469291223266026,44.2743415263021,47.205562521945275,46.386315482022766,47.8638002028954,44.17772867667718,41.261557452714726,40.44321409347796,38.803912718962984,37.38420482277107,37.191521971672394,36.957777907427264,40.30604819839133,41.541675493791274,42.58127382206232,42.05542032167089,47.431203202609424,44.10981394136572,47.47985421913502,44.71012225717029,43.78311512099088,41.32280023620442,38.54662688609747,37.144213845198564,34.84534249543167,31.502769361076545,33.19317031917925,36.13248685761484,38.52033813874703,39.37338842379066,44.265704763020516,43.191239090161616,47.41739207557735,45.11569371862001,43.711142095451066,39.48104382604831,41.65728188856876,37.76251266765862,38.51750733496531,36.11926259619121,37.93060914163714,36.4509456585125,34.04068476115878,33.54059884694797,30.158059955358112,29.209421980067713,24.826976789446856,25.919158301769503,22.554888523175734,19.7527932645009,22.725602769414245,19.910697930718143,20.0859860389166,21.071084924395016,19.075198031128167,22.868642148536818,20.900105912395567,24.37497413090286,23.29025443285825,29.059456790011733,29.627161338086836,27.829776344217212,26.256172556175258,22.033702363473036,20.340831700963868,19.751759349340258,15.697166533514103,16.252775162657603,15.568559798178972,15.677491200207792,19.151892671835075,14.785643326334707,18.73237599996747,18.162647017673727,21.92305084531689,16.71167747043708,15.590976803191165,10.152553868217234,12.225693776607656,13.402331509565833,17.02169717627479,18.730984323738603,22.73134516187807,24.46847295892486,22.159093939011708,25.159267393719247,25.949410775534833,23.188552515339335,24.65891354346437,23.946722493464627,24.815935867773323,25.727934031607155,29.0388418102557,32.4774738420166,35.78945685328997,36.523827241005684,34.29845185379791,31.573387817155634,29.61232464678814,29.70000533213668,25.81826207237075,22.565256119815093,26.33258444781956,21.524586259167656,25.295881835468144,22.07201524539799,17.832981807236322,18.052105971815152,17.75130666598605,13.953339386003693,12.767086871210626,13.92555328626801,15.79255771894694,20.461880925282152,23.424156681711437,26.705263230348248,29.267314356270745,30.641622712005265,34.33843201777445,31.457959195884445,31.18245027317811,26.821974078003795,24.73194077357567,25.330962078440805,25.823712187643434,23.669048270004676,27.93025001038435,28.84758003012564,30.991639075980842,28.49761820695069,27.607650312178375,26.303593693346123,24.727233956952432,21.59427293101802,19.11329667711721,18.941610066564326,18.05657721716454,13.974362659353064,16.55445618732671,15.114422332190761,17.12900529443851,20.011685813138072,21.81136837015142,18.370673481809373,17.422152463341263,21.917394416122733,21.123638621316264,16.37810013601506,20.395095854510927,25.188781020595925,21.78774683323111,21.694194017250812,25.563883556682093,25.995729207781224,23.400556220494753,25.515346521817275,22.524990802530166,27.586070145885415,22.68448228418379,22.86383100413007,26.98687460962822,28.6400986808596,33.2102528850068,32.75707191566222,34.27133032526403,31.278527440745766,32.78335726803201,30.25783734124501,32.329100408315,31.20262155055658,25.23412956999149,27.16740626025912,28.824060847587262,24.660991640386978,22.224170667546872,23.85089955786295,22.97134595076584,19.44717989568214,17.386489059367527,17.506724772959416,20.927897082252656,24.394559128778983,26.021674494957068,29.12012675864413,33.17201540484199,31.222491685697427,26.74785702115732,30.581201869544447,32.478710955548635,27.96910548549857,26.946034370243623,31.239665196854848,31.008820897690672,27.558966427144483,31.07984794858239,33.61110896077335,31.098155256586807,30.337129597372538,33.25423544777447,30.36631440945616,31.459336261575604,29.119028679822193,30.94883388842417,30.677327317633093,25.331116252771935,26.093857527925085,27.223636610725162,24.950954216760657,21.195406472120368,25.492529507097792,25.192457980568687,19.883325988391693,19.377616944630272,23.92854582395238,22.705883947433776,18.846757625634627,16.10257194496146,18.954941889704465,17.128496389802066,20.526098603130635,17.045589199411307,17.026995715083473,17.16852346620602,15.060236291051433,12.464328985294165,11.73347001304534,9.826966052505801,13.122579496052813,11.589511312579306,13.45272432012212,13.346506158464825,16.5926434477779,21.139450664431273,24.2225281204468,25.583564622266532,20.77842427859156,22.91371716860134,26.6038614009472,23.396133304502165,22.816924419000998,28.075926217759065,29.568405046588268,30.995398919521076,31.673826738957395,34.706491885154975],[25.518314181984962,22.138154176310927,18.591052018444238,17.862281293332572,15.496462990273148,21.9227800597063,23.072280100814385,26.892204094026354,29.10300932406295,29.370634169716567,33.165724164542205,35.105080277287385,32.12927581255385,32.37195722667794,36.819990155838994,36.402312365157115,33.16687873344549,36.81285889367144,37.49829043074038,38.05520506585759,40.72306570388961,42.291549024747,43.145368155534726,41.02178998180871,38.064736031411805,36.14121215683159,33.60654777193928,31.78037893348345,34.47192133215841,35.18789256414788,41.162607005204535,39.4971564470254,44.04138700931266,46.58765515175508,42.7324002905156,40.18927353713332,37.97899906895936,36.26258426300714,33.744686918220594,36.461015044721044,33.54626375407268,37.67625049087458,40.76630456522967,38.45469950278868,39.32737625837847,38.29163460426076,41.87073038129044,42.120021627356685,38.439009825634066,41.84435810594753,44.65088010748157,44.89099491831008,46.413665033666035,42.33767987913535,44.81391689091703,48.77434937794344,46.829907035034196,45.569123134963505,49.63636813718903,50.8569479622662,47.82594878032737,50.81639135172652,49.984943122084616,51.59063878603111,47.88588191693827,44.92645714488208,44.23293606572378,42.519161227247,41.1702432867211,40.85661034711598,40.671902151426764,44.02068323269319,45.24044145700318,46.36939898063704,45.73002548308903,51.102340901953355,47.73743697615566,50.998851911506534,48.17434464061706,47.20924466154732,44.55909529825896,41.711965399513446,40.07246909157991,37.671768963519156,34.54213736264825,36.36335886617673,39.51904731669418,41.73498863220906,42.863251474985184,47.642614807141655,46.696165933768114,50.96325865071416,48.58625568077219,47.03789276087446,42.77143942718561,44.89317168039072,40.954179973473515,41.5471311080194,38.95681766526019,40.369470639524096,39.19773644040243,36.350181107556494,36.18480327589224,32.374618583559055,31.306706912065057,26.787981369533338,27.281562295884495,23.730969069627562,20.815497413505806,24.151292095533233,21.55892062941457,22.509469346923698,23.68732485804005,22.184201373643027,26.208687546372392,24.499847424697155,28.078703363767662,27.15160944503532,32.92800737567939,33.3746014748534,31.557535548628774,29.833330108756368,25.665867966092975,23.78046643234927,22.81261145840941,18.821403950458045,18.31217293009364,18.012586438113612,17.572544520254226,21.079055789004233,16.177078334977484,19.64728010491518,19.623649560310813,23.65556339430563,18.933731335832142,18.378811983825774,12.782459617559905,15.703831305476024,17.203461463910955,20.75356856980828,22.609463488530444,26.529074682713844,28.311535166756627,25.93552830777693,28.801499785458873,29.50016054517968,26.721767803482,27.91416046717419,26.861711628252397,27.52455611534334,27.93478328156248,31.198490685932256,34.32992580520822,37.488613805227835,38.62621911201654,36.56317115870047,34.13301910086452,31.969586401421772,32.499559252100795,28.34045031046312,25.482386229609336,29.56410628648964,24.968358302718396,28.58942636012188,25.23278794829887,21.181027234994698,20.815458720136572,20.30745632740867,16.31290807645338,15.878539695112279,16.7916990500807,19.066505272829428,23.42977948008068,26.281795554367154,29.59231392193436,31.92190411139347,33.56917737182912,37.019467164921394,34.2906594293908,33.71415745750094,29.485113268329343,27.065022964527497,27.377465131550068,27.786035558950843,26.021033717178216,30.639336785900078,31.929884121642132,33.922105672055835,31.45529918850359,30.158303121538925,28.53892297243986,26.948150309079264,23.412757459164222,20.754045341385122,20.08036548516514,18.45156497128252,14.539186064660358,16.510632941039425,14.510749323939026,17.247146628273548,19.182545491770142,21.552114908487432,18.47980620384452,16.459954757473497,20.851582768424624,20.668631950131704,15.51585219554961,18.91521537225196,24.15916117378573,21.095156277962197,20.41609445111635,24.155354080688248,25.228864247096904,22.522678436261796,23.939197327157455,20.689122013882137,25.562382674833007,19.913668413846302,20.47136131577322,24.611332119671104,25.953546396856474,30.690914972267674,30.045804873250827,31.934233071993777,29.17222307158883,30.960726431307684,28.917292151674346,30.75802153918366,29.150074418699287,23.463910822247986,25.775454646339732,26.91182632447952,22.50070750709561,20.588179079544272,22.421925879036724,20.727702785425,17.088938608503145,16.219966828507786,16.112895829177706,20.563357533470285,23.687702358018658,25.135650202561052,28.683072694665547,32.574925983082366,31.195554763279446,26.497519039290065,29.91431553413728,32.28791025556072,28.063294396387523,26.46330143062554,30.779428808176686,30.808648664681655,27.09740030758334,30.14692818381682,32.87224975911351,30.554422344190424,29.210405584028795,31.892579401376224,28.811374935408143,29.94150546353095,27.871059409552416,29.311056052988295,28.702463074638626,23.619932520427046,24.330441221910952,24.904498218363653,22.590422579291094,19.061336429979256,22.971947923180192,22.199303555522597,17.037782423528963,16.70122300088184,20.814464217954455,19.27730789567253,15.436986164953874,12.926544476459396,15.273089688750902,13.71456118523859,17.39716705820327,14.572264244643257,14.990795295211681,16.137836884504654,13.663976915525422,10.739207069561408,8.965387471329027,7.360908239583323,11.234287736474997,11.479301225660365,13.689331291846857,14.743752730017956,17.211476534151817,21.89282983321883,24.611990444486455,26.627540728676237,21.883290568189235,23.278464302724277,27.33870420236297,24.821048228682002,23.578236174395588,28.69701249274468,30.62480153572993,32.387652050359,33.36763693841028,36.44753484674882],[22.60579345529974,19.352270975403812,16.340634615382047,15.196215816357112,13.940839360157847,20.04447498146721,21.63377717016459,25.7032589411975,27.553026155378856,28.09334751238367,31.853468149524183,33.955765331689605,31.37595919322499,31.243783270569256,35.93497443796293,35.84130987304734,32.752054219281234,36.580885457598654,37.40497677108157,38.363160406985145,41.11996959795124,43.062801447663716,43.824085865903825,41.77709896515077,38.8659045223471,36.56071264535026,34.144269298552096,31.97747626505671,34.54751973169039,35.17162853279065,40.82459532793878,39.32648267967803,43.78592638245124,46.55373695275632,42.89780213859874,40.40548460228238,38.36249515326407,36.92019111920081,34.648757718244816,37.92634734012706,34.852591865662696,38.59588719829393,41.96760101898148,39.92693520647882,40.84927653314025,40.0467387554146,43.64241613643082,43.828060071597974,40.39826897615307,44.00528751781618,46.654642143005546,46.99777327697569,48.35109286015651,44.076426190473086,46.4903422590489,50.454264229235314,48.34286729020267,46.868157274338884,50.976692840803416,52.28230974015969,48.946524287548854,51.66070696439903,50.604851398631425,52.14864657564813,48.63596349869519,45.56991444616005,44.43184166214314,42.51292897995021,40.841885831492,40.23617725404242,39.92364962032652,43.135372920688134,44.576011102051,46.04099385036147,45.48882650036911,51.07236453166515,48.03684983232421,51.2977477668247,48.723835384171664,48.07868863531135,45.49327145249983,42.97118661026494,41.24583981599802,39.18975149269588,36.009291504221494,37.397673889939185,40.41682117389827,42.45051841999209,43.34748022455008,47.93230217935067,46.71212065046397,50.815608198985345,48.22549000532481,46.58193459832147,42.158549511317304,44.002896743073336,39.91384327293329,40.87381566044968,38.215522383648384,39.64249192949245,38.96051612550862,36.26435736872715,36.49754455741208,32.800976766882705,32.406110687912516,27.61177132920072,28.3731651464497,25.157668968026645,21.757697674411602,24.703642472246912,21.547688749183934,22.650487376706177,23.12197974516554,21.91703261376917,25.641026938228997,24.05799406503351,27.822852425606275,26.996000612648103,32.82312434462003,33.01995055927887,30.88676019567908,28.950141546917198,24.722565405368993,22.77130599001238,21.602416196833133,18.266973971094547,17.466083999339304,18.147045417575903,18.22028189111459,22.316149920498077,17.88066588350071,21.690605903457516,22.007354171140204,25.607555387115486,20.873851689380416,19.60297506137728,14.161992556602682,16.483129088314747,17.45178711475017,21.290608927887142,23.030266474446442,27.33730102754947,28.80921599780563,26.424050711955434,29.604271098065716,29.948448879513432,26.97495827842725,27.93011909406609,26.913713603881487,26.999312872273403,27.51774032778659,30.286806426007416,33.67530111482119,36.32220925673959,37.624353209479615,35.92910215456106,33.56702336092541,31.753456441260642,32.4227734376849,28.698207684008317,26.214924787146987,30.269758608485052,25.87550720838597,29.84294169791997,26.992140244803913,22.926791536460897,23.127562581828453,22.929510659110136,19.028842619883086,17.927751106173446,18.844097063174107,20.50562193079156,25.050300566437272,27.711533922453267,30.778617704791703,32.959227768675376,34.176197997900275,38.002200470485796,35.56600744693931,35.169367251710106,31.219059795531543,28.482934322310694,29.470963414227707,30.221665209595386,28.282976660204348,32.78381420222079,33.73374185839895,36.04481749443625,33.67342254814608,32.70146722342839,31.347387809641933,29.629841549238662,26.334543928871913,23.62909153284211,23.00913251998794,21.510175226617164,17.256097092260287,18.938191699450982,16.37061391653287,18.46422725164179,20.284071593500336,22.118255148462666,18.776346327767662,16.730052936537437,20.960449988236505,20.12695124869802,14.504964351833477,18.224729704379847,23.365415410017363,19.516019916693992,18.70464204284422,22.583384537633254,23.340660936017944,20.151502987166865,21.743026021081977,18.680406818432594,23.943685254718474,18.70942511216235,19.64353904098951,23.850594756161584,25.86843130885638,30.396490382062048,30.421537862781197,32.49054228429402,29.997128263895675,32.09448345212957,30.129502444401496,32.42333910830285,30.64119642134395,24.883073560603474,27.606050482221313,29.03127300792531,24.475385809062818,22.706176857538058,25.010266612418672,23.279699841387,19.322449757078658,19.003723739157362,17.974871562205553,22.506955397807616,25.55938480584231,26.407148917961766,29.907462285282055,33.498829767902095,32.038583440026116,27.317161744419526,30.310413491948303,32.516700922794946,28.171991876228795,26.339148289573604,30.354331242134194,30.076381651028324,26.19653629691327,29.46802010805486,31.891944037293552,29.13157790196881,27.965416984978685,30.905769704264728,28.04508246214167,29.668111824198682,27.953855131085383,29.751579948540947,28.652426851473592,23.409069548100593,24.9008653787013,25.351211454802765,22.63225234899305,19.670118852319682,24.072749887793524,22.782164873018022,17.390835314496435,18.04060315168968,22.16232146962565,20.030480890074383,16.031606641692882,12.6172555352678,15.206442162831886,12.582665169020435,16.069714234322934,12.455250340907723,13.387958066456894,13.89607675444257,10.818590904696174,8.510898124286722,7.47801759488595,7.106074198062874,11.382023656660733,11.250278157446328,14.444279988353301,14.655106968374097,16.36082525423382,21.52742284744656,23.992362458220786,25.950336548651368,20.888601880731066,21.88692584772605,25.867316229332065,23.33913113673404,21.495621929508896,26.601891703711946,28.761662185645108,30.610025811256097,31.836006457306095,34.885682925745776],[24.07098147895515,21.093808329744288,18.88854909772381,16.511596459384975,16.311488750178096,21.89541238437742,23.326811683308918,27.735314858440734,28.834461732973896,28.981501775214323,32.629430650254335,35.24383219960529,32.52732307594879,31.684146436149135,36.557990980313214,36.80751996237618,33.41356860028948,37.020633787819186,37.31172261410117,38.755030215077376,41.17816747399231,43.33245895285101,43.67811360706005,41.403981644034694,38.86054873701827,36.41649329220659,34.50124937052982,32.457500067632616,35.36330485686827,36.44455980007788,41.65833283059299,40.815669512035036,45.23858545035956,47.83884890059266,44.30500505779364,41.508877401438156,39.98474325348454,38.0892175911517,35.83763676121366,39.434569517019774,35.76347041978851,39.22034662858619,42.774883657276725,40.840379956119925,41.38557405292347,40.547176994387854,44.10543431295945,44.63634933438412,41.39943342460569,45.064945741029426,47.85846423346822,48.52037457983221,49.85188277309316,45.36172297332629,48.142892327294064,51.87973408995504,49.39702137411038,48.090549119982406,52.29960413617999,53.278537746254,49.67364731056747,52.32332655484353,51.362562843118376,52.43597626965044,48.96680987350623,46.14514031317461,44.495085213991196,42.80173303939066,40.61446079456018,40.17352737876507,39.479301174712454,42.417345319889165,44.30880531459878,45.77542326056658,45.74039669373933,51.434260701821934,48.69014701607782,52.22280393093401,49.84798329406219,49.29763069511263,47.13294098096093,44.7090315864724,43.42539859288558,41.46210984156629,37.956318360255125,39.20536253102643,41.777405339777516,44.1422037080838,44.43333527725688,49.18959483809227,47.57888855358014,51.46648182553603,48.91947118102281,47.516942957982565,43.051215030851246,44.72122167617899,40.56354510087642,42.18183340858672,39.76718551054946,41.70821186466117,40.99927918379083,38.901441131058824,38.94126121487363,35.759779351047094,35.61162219890463,30.920809435472357,32.17114188594765,29.086965619683745,25.726184233250137,28.3655235273427,24.87365261115089,25.35911695572357,25.210647887156455,23.565374673745165,26.592768747760992,24.53850601488145,28.1171577434332,26.66387971028001,32.382579049678,32.99921009358452,30.550381773301307,28.890208406520678,24.342922023034184,22.97744349617632,22.404701258574924,19.72121064854507,19.998346326443777,20.876435696922414,21.5877355013101,25.70629605527004,21.630905637048677,25.67614503423149,25.48623328156343,29.051883084912653,23.8717036166873,22.150681842570986,16.946382052582805,18.056604582021645,17.98446228126612,22.007246721090105,22.616922376282766,27.03437383414098,28.7802695772471,26.849317820932374,30.41970793415321,31.01033005437179,28.060537297915502,29.438962687119698,28.967689783984746,28.968400224099643,30.113586082315077,32.5500076131132,36.404926686144655,38.7579679122463,39.82927339692407,38.272493322352396,35.64368800619344,34.2921237836592,34.52061078162349,31.340421553686884,28.497309129834644,32.02477401621223,27.276311270931572,31.42957332394688,28.5726816444604,23.959009629066472,24.94106139980072,24.29803968578077,20.845419972612454,19.32926271107037,20.906473594103964,22.222157517679353,27.164885633984742,30.041221276629877,33.08174798792308,35.56176543025385,36.35570774999968,40.542162110694214,37.9053386124891,37.88640779531019,33.70025172538784,31.462597672882584,32.55738537114848,33.17799974647507,30.88855283993951,34.883685663550956,35.37755005507869,37.61605108460558,34.84096224482167,34.41316050684129,33.14987449325412,31.823854466062315,28.819189278514497,26.472724969304355,26.308560079926153,25.188321449415376,21.094439961185007,23.220692335659866,20.951447934871684,22.889726805265624,24.96719698115791,26.587666031112175,23.059905106543148,21.291642117396755,25.46078155965215,24.239182718839075,18.521370159996454,22.400215446625978,27.39466428661067,22.961563330884836,22.090872163453213,26.010987345152913,26.41458343344188,22.71442598593433,24.439809448591845,21.632693324315348,27.15127282827729,22.013457305117967,23.50221115437239,27.69725290350268,29.957402586764314,34.39820985495271,34.66298367452664,36.94872374571376,34.60661670405883,36.803245293611035,34.87603659626152,37.16552155565886,35.320694520004196,29.62027256255023,32.33519228334083,33.64169398114852,29.06868562903904,27.357136481705357,29.478341842319104,27.589258145454686,23.776820945293935,23.351190043408714,22.676226537792196,27.05826939064739,30.21415832001903,31.11693262001172,34.531045961715066,38.12190191563649,36.49178778030575,31.834006103414787,34.81727378851804,36.84408005408174,32.37057841825975,30.61970498894969,34.458608425848126,33.927865410587394,30.03365945194592,33.507587698007654,35.68089844483567,32.5466573061488,31.616291624294146,34.73429197093938,32.04681801805967,33.957128418040256,32.419924753754145,34.33267884327302,33.000432550850554,27.761392084087348,29.526990023077516,29.82421826701505,26.962750929738664,24.27438182012822,28.610124619109136,26.962264241831555,21.671494399434824,22.549292986610126,26.327894737729338,23.83141647491353,19.89412843261966,16.428635295384037,18.184142415506713,14.99477569903863,18.81040289453961,15.089597819592036,16.919464234943128,16.867230079034748,13.028043022426441,11.797910928111001,11.005925541856673,11.593251289359717,15.991313821394565,15.489849071471513,18.770299807574876,18.172859004460506,19.934434337943976,25.2511104949968,27.735731831281296,29.300238028287968,24.027667030519105,25.112836985260127,28.783588674073453,25.805100173907757,23.801333128322447,28.904959214071642,31.040902315742404,32.71452301227429,33.93600542727803,36.862955371806336],[20.826150973895242,17.826540367308993,15.783519774293547,12.127703315353626,12.395730946247914,17.281531978748784,18.512307183553116,23.08256708990728,23.675215051705628,23.766407739296227,27.332399825713484,30.12037803668698,27.612632129314097,26.458092019344043,31.445955348708623,31.948322000844446,28.726690733526667,32.47924307609098,33.05244457772372,34.812804992481254,37.423423785582116,39.982397655767926,40.37578798038182,38.374412063199244,35.75058793445219,32.86014586859535,30.95392468932438,28.47933125707255,31.127262222168707,32.083976075261255,36.92458296445153,36.27660957066671,40.58042230170086,43.32342946444569,40.0187755190527,37.30713266093628,35.99180904442486,34.446769760784264,32.55893333490397,36.82803485911668,33.13390282703744,36.025622884678086,39.877014368944046,38.366573160826086,39.143741266902566,38.76606129645321,42.31426936668121,42.53755094682061,39.73478026143501,43.69482207525567,46.081811282546816,46.81967204450764,47.841575177278536,43.13224469667387,45.697342292197284,49.43620686964745,46.808801622520384,45.15178362568329,49.35664953118138,50.53376465697556,46.586353551675366,48.83336852293925,47.564992902078714,48.681945446120956,45.49134295124306,42.47938847077813,40.4425587298751,38.45918405104936,36.09078178255684,35.312970260131216,34.612302714796655,37.497984475084955,39.42921589654449,41.21816324556938,41.12873946933366,46.97426018152828,44.55406000053523,48.01363136277927,45.921085603363025,45.75531461497372,43.66717619281448,41.6954703840897,40.33956784373147,38.87035120632084,35.34695403568593,35.988063825833564,38.35618831522032,40.45656126832133,40.49417479849622,44.974868771423054,43.11872815803265,46.83731536753921,44.10925305023888,42.63569276468488,38.08452970243657,39.545958912496054,35.323764552684196,37.23475860348119,34.86686200862749,37.00721665831287,36.5514411190147,34.86354869610312,35.09513982861447,32.324026931359484,32.93475253417956,28.173081893813237,30.034937588657268,27.507842174024074,23.89382377415952,25.8002968166935,21.784154740482364,21.87738298869839,20.911563732263083,19.393460796262204,21.922073278128583,20.058461189396382,23.75441318419158,22.655774395596513,28.33363567247791,28.4898213525737,25.836113747019144,23.930863382630232,19.49053221348065,18.00984321310319,17.34684836032992,15.45993409090263,16.108347108054605,17.659846466339573,19.17460229153206,23.625981273652613,20.564855178063198,25.024707133900957,24.95635553821561,27.72753777310689,22.57273962970253,19.899231755546808,15.448625170171335,15.48299518089425,14.791101426821562,18.85023594711463,19.687755254526543,24.452356878382354,25.488114334220406,23.448102587911123,27.2226851794887,27.284960952171716,24.19250512600495,25.28871262329247,24.986509843116327,24.52209342618166,26.044315828881064,28.02545395039658,32.24025914485884,34.286819622098164,35.1599621463936,33.80185455605501,31.092068569055208,30.198922262923798,30.30968791521531,27.78498311587077,25.27197938313887,28.569819362395283,24.24464368532123,28.706323961731936,26.726065529447915,22.485837826132784,24.15936433481811,24.3384741869054,21.099984347025902,18.61168228272651,19.893857036741124,20.198572676143034,25.111785359716304,27.620902274798265,30.24463107195606,32.5536263655619,32.750056161911644,37.354811402517996,35.069304856482816,35.36434461677407,31.60773088646242,29.14670069938803,31.162888310098882,32.28112881664114,29.709338048350848,33.39354933145935,33.369982799606476,36.12033521931061,33.74621887712011,33.76828739057932,33.07554058128053,31.43037421097763,28.96361277968238,26.591814860240746,26.64338059847728,26.071002168094974,21.575644728041816,23.6511543671509,21.334954567526715,22.122571346972055,24.817964971123814,25.465205806042274,21.557617048820674,20.83510428268798,24.842524709038244,22.616853585134585,17.371788184145107,21.90381264096787,26.133682083731244,21.048501682101797,20.895057045398115,24.892933851897787,24.317148647506293,20.712759953145316,23.43345178320083,21.169050196751115,26.870982901491406,23.206757735710113,24.11579736505404,28.198186684875736,31.165102475138713,35.20752223893584,36.091991607926055,37.9314966820507,35.479293740639015,37.530457777033774,35.13527711243576,38.03581849390838,36.61848221206512,30.567529557085336,33.19131090619183,35.33239229464733,30.92391945391921,28.756324647038227,31.128346053793315,30.11052671952713,26.078367735587708,24.976978630975395,23.671307484596074,27.15352459425341,30.471777051400444,31.01223573388043,33.90404536354773,37.34512057391643,35.132727741624336,30.75470627111102,33.754819538854846,35.144508027794984,30.40291893478746,29.091384444441587,32.61670020242733,31.620726483731573,27.993446387615837,32.05005168821256,33.785084614949945,30.242593686319786,30.127953007120414,33.60786740844755,31.325640851493844,33.42122775538925,31.81038246320457,34.375858676041815,33.18118247871776,27.620166968052708,29.874621672907146,30.78430065332882,27.804687400508328,25.179758246990076,30.254823431192744,29.007083130862906,23.44011463491818,24.58728810401657,29.034661096016915,26.759266227552256,22.72036656084455,18.675240933421453,21.58577249649925,18.03976227473601,20.883793801255116,16.1446996656302,17.114618595971724,15.461020660018589,12.437115979781678,11.99061830108006,12.96806608255577,13.155871447857232,16.69135423888981,14.391385942537225,17.795010305756367,15.690190705299829,17.28972428482067,22.559125164575338,25.08340526291535,25.951769938716623,20.572832236630166,22.038578060496423,25.15791142250098,21.59892442235748,19.894701162205628,25.011601160282535,26.794184923279474,28.178071446916512,29.283093490311984,32.116308501186865],[19.671480358812442,17.241054812642695,16.512328369512474,12.485179675034834,14.720895361399432,18.424560671073586,20.16998114828759,24.7700835490449,24.75933307178564,25.159202965082407,28.4865065245168,31.463357715465268,29.52207218517573,27.82348075491007,32.96259619562738,33.89037197695423,30.886732410545857,34.65696999099958,35.2236822146387,37.43805329990716,39.983138474573146,42.86096669759823,43.059131186506384,41.08998575922949,38.66664317691062,35.49852745466443,33.87728486570035,31.21782211625525,33.73073767951245,34.645657434728875,38.949229216330366,38.59543561088303,42.707761370340066,45.607934580576384,42.581209537544126,39.929257494354644,38.87403508718022,37.539079283085854,35.89706254372122,40.523370901917836,36.68985570470857,39.18416213791229,43.21049172610124,41.92509873684017,42.632145057569005,42.37768738070774,45.87730004929495,46.15669827902661,43.56414789615481,47.599751295890485,49.92480964094392,50.76930443255314,51.688232576909904,46.87157632625949,49.432080711009974,53.095172743916045,50.31478784971819,48.56251939584409,52.763064836766596,53.9238214334984,49.74309065164637,51.727326108389335,50.30625496214896,51.24597733126211,48.27526241209971,45.28005541475597,42.75905972571893,40.67545000295457,37.90195871111653,36.86871025446116,35.9346302297485,38.50748520823467,40.78586524937727,42.90643114862105,43.042420913327696,49.02784225370976,47.02915409646127,50.48961166387975,48.694469409340236,48.8222504624119,46.88200523005228,45.20341599795611,43.84862198535617,42.65597938199132,39.125238998067985,39.43455447123854,41.591023868468525,43.54892660319265,43.29373786322563,47.545738035716475,45.387072418999544,48.83499420411997,45.93510297262781,44.42847768375021,39.788252717574295,40.8608151454763,36.540565302550654,38.953222684110294,36.59586522025945,38.73653311997337,38.84562179181266,37.3759137899034,37.99445902667107,35.39036990052608,36.52634327079983,31.65638314954005,33.59040538184643,31.303687147455552,27.453933382462147,29.08101136661449,24.80877818689591,25.09118606053777,23.48763093107219,22.35110651589253,24.300616952055897,22.604643774294512,26.224022078697086,25.12130695643784,30.550780445492855,30.56507038549098,27.588269667967452,25.602507556990698,21.277234842388644,19.998718699418188,19.27514636846147,18.45735971518682,18.78391536349319,21.12882772423236,22.86147474462021,27.51011923866844,24.684476239504352,29.135724149831944,29.301250601128114,31.893950865205213,26.865722288841813,23.971854881605044,19.75566886369214,19.5240785062954,18.410309101711874,22.386534763119826,22.801533705621168,27.628787950055543,28.475562166126092,26.632636667570928,30.575234633666522,30.400808246197606,27.276123686973516,28.16549644084398,27.95874164589351,26.9239594303142,28.505530469386994,29.82473515643145,34.18797296598061,35.53225049100587,36.60056442402149,35.73584915959391,33.18251260600137,32.71395281821029,32.952922263653114,30.936757176190813,28.81673113038196,31.944079425830203,27.878648124737083,32.44777238926702,30.7969135862473,26.57048376272061,28.512201145030584,28.67042126519162,25.537954020237994,22.953775662799472,24.280385162690774,24.33191473896575,29.20938824267233,31.5630804709911,33.96613715001074,36.12412942174205,35.95791702314112,40.78351256270522,38.75211120595016,39.17789167511259,35.647524555765784,33.04593013207214,35.38549135435205,36.63605677830966,34.02755745136055,37.586900575176024,37.34214249778777,40.198348952309004,37.81850564451776,38.053789242730474,37.44465539108198,35.8306772483029,33.44331287452379,31.080336078280443,31.09771516228411,30.432855645559492,25.88434434994022,27.724727647751237,25.066776810407404,25.700422107395006,28.009647016942587,28.42694295492406,24.565982977004868,23.59480105276618,27.258966635360803,24.735858511112966,19.356617997049224,23.650000773518315,27.660121447863872,22.077946073551384,21.621173313577245,25.4635900505455,24.66291178358877,20.54543738235545,23.138447222919666,21.2717306308092,27.035092690699667,23.797879278611607,25.250630473519156,29.18920717826308,32.57859344967366,36.36267438086666,37.772897980050956,39.900491466397725,37.809505638095445,40.169825317822365,38.03479043409158,41.13082395093885,39.435015933169836,33.534917307546465,36.50231870192044,38.600719042882275,34.06541789063837,32.190978766214265,34.82702766711042,33.495391428758815,29.334940561052854,28.867854869868086,27.13634913137419,30.901400343786644,34.04756377935625,34.160006680343706,37.0986889652417,40.220861652091855,38.12838343549814,33.76285839465785,36.24764203402844,37.58358878646984,32.922280072260186,31.302664969596236,34.427840255377426,33.20134760395504,29.46548052337588,33.48595225883271,34.88016525122029,30.972248574403242,30.92973705067236,34.51595202543557,32.4974834644564,35.04819992587922,33.906078794828,36.588523381747805,34.86552402702992,29.44075046269748,32.26181298449813,32.83725987216879,29.599938323991264,27.61451086316775,32.72853872687633,30.914530625349126,25.4714861473916,27.29682461249423,31.4097216625071,28.619623858665125,24.667663517121206,20.349538829255714,22.845779365385887,18.725223201521292,21.26695288092961,16.45129219926513,18.16801220109127,16.13861282221914,12.610364428244766,13.353052153729427,14.62660827770574,15.816751592916408,19.378104140165657,17.496527250633832,21.309790022789652,19.035034342469864,19.719228040497278,25.09392850198512,27.172181617628425,28.042124382291835,22.63342967186489,23.42326803225551,26.291647435895953,22.987550344619336,20.4782689881154,25.215603272278678,27.30293163920679,28.76547937501769,30.191501593847015,32.86841906421021],[17.436983955495673,14.864257222633055,13.936056448329305,8.94614758308198,11.316533176143327,14.21175419252611,15.713978637696279,20.323095655643236,20.070568568614377,20.511582438072296,23.813315294262676,26.77085717735839,25.01497466608462,23.315538783845877,28.46894780539927,29.463607142471883,26.716315897554576,30.65530047136091,31.64597955173964,33.89165627099376,36.68587325368029,39.75784620180805,40.1535698927696,38.49420963321064,35.88644316960779,32.474212390810045,30.685402146323153,27.67886737298988,29.837602664690486,30.49533123397914,34.63990003375734,34.22135466653975,38.24528963899142,41.282925316294225,38.39267954487925,35.9148541683847,34.86079594816407,33.9451199468305,32.59396127251181,37.565010220900525,33.95742414687286,36.09804071598957,40.239528703508924,39.243157241968426,40.2447595914865,40.345116523330304,43.8154523972073,43.74334432524123,41.42854404465532,45.61995713035078,47.58068784383824,48.37256887281399,49.06590036344456,44.197716917943325,46.46222680779826,50.17100700146096,47.4277148696718,45.376495126625734,49.51348949920171,50.921328189909275,46.61268643047271,48.318121541518906,46.64896096089522,47.792153846398016,45.020373614431975,41.81260003594114,39.22169433629339,36.84745635816007,34.16521787332797,32.81792201845294,32.04858871751243,34.705903724496345,36.80045254709165,39.141704678095515,39.02447300703412,45.05473078109708,43.18242999942102,46.48057249984975,44.82430630307337,45.19674068156073,43.191080144349456,41.827086994119234,40.306721752590214,39.46529238440458,36.05391448540117,35.94388413122386,38.06195875464202,39.70614449420425,39.457758358166394,43.43300730981659,41.239976933977076,44.63738305328488,41.605815597175585,39.97117856850735,35.29434597787799,36.290515509878055,31.95032763676767,34.350077325768545,31.968690635424018,34.14040865602874,34.39782068857763,33.11442197159877,33.88927265340758,31.522884288045397,33.15399870353233,28.314097741033628,30.603951656082923,28.76610090205393,24.85688210992889,25.91242932834592,21.413942473831657,21.45130289824642,19.327782213744698,18.45606188291034,20.11921324388612,18.800731537032203,22.516885323969134,21.984129508345305,27.329972297832136,26.801392273660323,23.820791508523335,21.527640775770525,17.49588991765434,15.886472204487772,14.854226344939343,14.694893251069985,15.083316834020822,17.875380743762634,20.072727286090668,24.777058603329284,22.779737197695926,27.33215479701028,27.64264406000324,29.58358025951921,24.812180808658024,21.4079668962487,17.9691952666973,17.1855761445846,15.933224739826542,19.663166354485742,20.641774854727505,25.54452948033692,25.720325075698355,23.66651803500226,27.546321605690146,26.874412178021185,23.686887188432436,24.191019934780005,23.97816800756963,22.600719433452003,24.34197235777654,25.37982052647487,29.904849698492832,31.1477491446548,32.052770043988474,31.25905966346505,28.696763777993546,28.47635222595126,28.70681381631276,27.106230690499853,25.373242702826794,28.39272792769051,24.856806639720116,29.504392385771737,28.55412629139344,24.880822563496622,27.044838475341905,27.89111653105696,24.886135787667047,21.83931236255543,22.739297601713616,22.128064558990832,26.710143928699296,28.66894860887778,30.70960560509747,32.62955243978273,32.11471463893459,37.10790847613227,35.411167407717066,35.974242296149605,32.8783378152418,30.051696671197853,33.005631773693565,34.622644318722266,31.938497928721464,35.32729106941414,34.8327297036273,38.04790013719764,36.11613651168106,36.50931859612682,36.292349330981395,34.37496814025447,32.35020272325041,29.948587038045435,30.035987434265508,29.724044994008356,25.023809102369043,26.729890869962084,24.160604004809556,23.949197091525548,26.68408922850911,26.394512060868436,22.38727516434029,22.314201052889285,25.784600568517774,22.638828145595053,17.978019847016213,22.616952502263338,25.920265909392928,20.170031363248725,20.45815176313467,24.256778396818618,22.722093149874716,19.060053447693686,22.475087802348963,20.994220069522576,26.646629330873985,24.532933182041294,25.247872173399923,29.025293544684565,32.718681705062096,36.222711227045856,37.89063129281566,39.52435899961439,37.25641232272503,39.36970413792451,36.83634261712642,40.30147582924111,39.03537535310302,32.932162702337585,35.68796076734212,38.39549097024481,34.09232727319724,31.84760473404266,34.570664845889816,33.97444133015239,29.761269959050843,28.705796863475545,26.631001656270726,29.57950479069874,32.78618782210459,32.703010564391384,35.1745584206847,38.19500222506889,35.669136767826366,31.60374674936077,34.16630690716313,34.99380168406449,30.200060548320447,29.04021837533238,31.954952814483406,30.44471950034973,27.04604669745109,31.461718967153775,32.584845558621865,28.54134922116602,29.160897587351684,32.929286073897046,31.18919003410122,33.67231923181153,32.34295914787281,35.44741785355173,34.04529854438081,28.45091541063948,31.39643506617365,32.54203896489576,29.384493436394436,27.290877728502473,32.81857296087284,31.547443707797694,25.99766326956871,27.734305691331482,32.35941127378779,29.98143857129241,26.018080212364907,21.558040721651313,24.950343309550544,21.00839069270708,22.878220997858506,17.6284725873509,18.245096157302548,15.197097533589565,12.967569283848428,13.805938020202039,16.02647961806442,16.518184322626947,19.215905521852783,16.092301104950103,19.6472792971059,16.419619422620134,16.98761982028418,22.033174012060943,24.153108895353316,24.43998402449493,19.122677863941583,20.341933032028752,22.714057737547726,18.94803652085235,16.959009858338636,21.70299880205185,23.357684619303328,24.54791388420832,25.797544026215768,28.435790292987132],[24.198981474942013,21.472425919618576,19.771423149579917,14.835813621003863,14.974483416353728,18.562602978787666,18.58162279932131,23.152510098423118,22.63066018467207,21.581218297295244,24.813076774717278,28.266555130752476,25.237951177661454,23.19212823035865,28.131234195244748,28.969387670586894,25.3005725167358,28.553415850088122,28.411657894455473,30.749884607139965,32.93293329320899,35.78984484899102,35.733828321072224,33.63259945351522,31.421768387599595,28.290801995082077,27.043418438429782,24.737721867634924,27.739451540257267,29.37293661914009,33.497134019368,33.838598372244725,38.01685018734292,40.341897363579186,37.23780682865472,34.129092691256744,33.62249381979766,31.4660952209886,29.748296594671356,34.50207323434419,30.164419442409134,32.39349634344972,36.471952382316196,35.30679664614051,35.746492255419305,35.59643401198282,39.015649578646986,39.43999575047934,37.166275085635945,41.26141527628948,43.53210730261473,44.668424786656395,45.49734277908689,40.517380646091176,43.40312929617319,46.7762595873617,43.682240855576765,42.13769671136327,46.39498436873668,47.22097724551048,42.89234683100409,44.91602356138085,43.72698507444556,44.283504991465925,41.24224381873708,38.52055073672114,35.858629880968095,34.16902553066834,31.245767136789837,30.759603124509905,29.63787935052934,32.237562618110786,34.586279424650364,36.266530624314974,36.781614013032524,42.65518763365472,40.607374555268756,44.36748093002868,42.57107407859592,42.573257582535135,41.11650227055475,39.41537353344454,38.7274346292989,37.54753509646984,33.670866061685096,33.93679800495822,35.555844189652554,38.04427139275099,37.201988442240214,41.841518243381024,39.509618345145924,42.91761350339234,40.36026822021176,39.312358765586424,34.86589669221747,36.220356631986824,32.08896576123892,34.76627237090949,32.950870379413196,35.99969151883607,35.109874572766984,34.53797414063583,34.18356577375792,32.476182917192155,33.392982864602125,29.13173635415675,31.86557836151285,29.744299113976922,26.528368128095785,27.750787840758225,23.613821381830515,22.34675258500335,20.641887984761983,18.270914666469125,19.411456362464843,16.856750752178606,19.97469184587765,18.117177136172202,23.432470661958078,24.076017002906575,21.14217165199882,19.78027595720264,15.08691046469142,14.736656788295447,15.434920183499816,14.665252537466351,17.576592543386916,18.68140709870762,21.08401135479323,25.05759385380239,23.06138686685944,27.68030808728411,26.844510193452642,29.098851639954436,23.641955925031326,20.288405104878876,17.084686600068782,15.020622339101937,12.665148763353404,16.369933106320488,15.703355018975621,20.460020036026755,21.41387378290142,20.041570494781723,24.17891698791102,24.45477246078579,21.58198842497576,23.304321863250006,23.97931324337519,23.692352232852173,26.300621298909103,27.960290539773318,32.718529719223795,34.71029212821922,34.80715820980152,33.367098901863976,30.158392163902636,29.957272945338083,29.124433918071613,27.58722168518456,24.546384543033902,26.74408597894907,22.264062094028613,26.791888741993063,25.293177679085485,20.907219670943768,23.793377076699816,23.98607202042648,21.68124864947648,18.385757156286807,20.12075365785195,19.43788374746578,24.419796033066604,26.939603075969675,29.268857861152416,31.92817140334574,31.398269527978833,36.416266193826516,33.92584221815162,34.86731343709449,31.029702326050582,29.423790658220764,31.757758572028248,32.84690996489778,29.778523317999614,32.45847190993254,31.595844314238512,34.409243214486786,31.884588318169367,32.82083867390963,32.63792317199734,31.327514720213664,29.668260739407273,27.855000676711494,28.61690744504015,28.9086559561829,24.67072584144296,27.30145309737617,25.719474090656448,25.94549862929063,29.439368558243753,29.57449175436125,25.487523930928354,25.828484189982706,29.805617958973215,27.086982338403235,22.56335379896471,27.384393423469966,31.03695521658231,25.777531335871448,26.218106120852028,30.15596689261385,28.854349449650698,25.472621910026547,28.797480324985646,26.926562178305986,32.60688249446991,29.574400783242172,30.234780983720267,34.23203674455248,37.34644592465189,41.251217974865355,42.218897133580484,43.75424213472163,41.09199306173079,42.839170994587406,40.014656001987234,43.005442816451286,42.04644413475347,35.81898249933228,38.00022892370437,40.46841855549054,36.300798134897114,33.717141100234265,35.72445901448474,35.298130896447965,31.480996852432863,29.383060729013714,28.594495719946146,31.10411728834468,34.6843573052247,35.50840130744889,37.88217657234782,41.46450762756731,38.63796506391172,34.64770548655613,38.056418266347976,38.853865670522,33.90743015129138,33.32290241536675,36.688824723051546,35.3651304918752,32.18091023974529,36.66362553242411,38.085746909048375,34.3371218948902,34.94652536778826,38.61140082245708,36.59887897509418,38.62688428639029,36.77418379782892,39.64458086941852,38.80106439980855,33.112463383524116,35.2920036662223,36.6480345560705,33.77568798543199,30.920442282019096,36.13033766888998,35.27490885136533,29.66494887849564,30.47385519419099,35.15670874230702,33.14641267134472,29.101166017313318,25.14371190827319,28.094176078558007,24.583339809267798,27.407592834725747,22.544519956129697,23.246003139264612,20.90774704694501,18.43447564185632,18.271150742264116,19.48508601298579,19.290098860880015,22.472293847326718,19.136918371780386,21.851011953148383,18.659300962081662,20.903325988783227,25.578786494359957,28.38098055276469,28.217892495459765,23.07784767595199,25.397848620472214,27.68590182243026,23.194681540393194,22.508838736445508,27.41926246459977,28.44134004778596,29.139542997277026,29.718383426644888,32.248152920978676],[25.097076715758405,22.85638025476503,22.03095690220016,16.636773488787686,17.91114393194462,20.30553695968838,20.322705316875915,24.795362815319393,23.428867448129278,22.241645304895314,25.05693329635656,28.85662089031628,26.181115812816184,23.369751974354596,28.315815416808462,29.643252021630996,26.093054547758264,29.107643619494528,28.709219309116733,31.63519600246738,33.57335050658934,36.790674582152526,36.40410376552898,34.34858198102158,32.50052974875469,29.081325642049205,28.35462137317537,25.985900248338762,28.894959250717946,30.68211321775029,34.00510068066627,34.9536753481017,38.87028179705647,41.15497567765237,38.39952222494549,35.250957402879855,35.25408492261742,33.12691849010558,31.724005464092144,36.86553073442788,32.2980388340757,33.898396507599756,38.14312246324483,37.312241632762586,37.581291208332466,37.62807177765328,40.91116533699362,41.43347967070418,39.555223031248694,43.710115841274494,45.85342561206264,47.196195695003006,47.85832711241709,42.75854759562999,45.69347775408906,48.850438236333105,45.50573153595626,43.92364690900135,48.145195421052804,48.83917163037382,44.217183156321624,45.902068925755884,44.60965375005789,44.808417906465564,42.056352423721854,39.4796202883806,36.18637696663618,34.52955649989069,31.066590452657763,30.456103175390773,28.964701269616963,31.118566940046602,33.93369983202447,35.863784327246,36.80648138250175,42.756776471225194,41.244534167788714,45.07177852704575,43.66165059171008,43.98465720921934,42.88296940189457,41.550759106949734,41.0798949094695,40.24373031972374,36.30928601297151,36.162575407342835,37.333651795591194,39.784628621903906,38.40086537588787,42.83563746651034,40.09239762409799,43.112945154491854,40.49017606458607,39.58321233648986,35.14926206019934,36.10793595700441,31.977442774794284,35.344635507547046,33.765975339706216,37.10790512331201,36.53442534789465,36.52263542156221,36.29457282878781,35.07415976262127,36.49055274552829,32.3263212449342,35.33152453723464,33.50995431628994,30.226808087493655,31.067910259169157,26.744705864136137,25.298410345497768,22.934709090201316,20.724365572003425,20.906264729676494,18.41591112515907,21.11925187937736,19.10290896821977,23.813799790100376,24.46613110552091,21.197268380072334,20.012385142582186,15.57552644835686,15.86355357422698,16.912433563691952,17.398691085292832,20.463771120558032,22.032317616770843,24.743750214796247,28.725376890829242,27.154481284251638,31.795956934795562,30.97384739896578,32.94244071160883,27.576305183862836,23.957447132480375,21.221767434553552,18.6947322608023,15.840914229812416,19.116689578686202,17.718322066142598,22.267108592182577,22.936287459591767,22.00960638055827,26.249981386432456,26.352025887971102,23.608836153202102,25.27180912332192,26.29892931029467,25.60118682961027,28.537276500272323,29.556359038315414,34.550154064034984,35.97141971372668,35.936932913817785,34.86941780318004,31.65705726997271,32.02645955012561,31.00929698562093,30.215120933277976,27.411945648841765,29.10842438384241,24.94914678322696,29.464749052239195,28.44187004229054,24.181877152205985,27.492812645479727,27.700125952302496,25.721160512031698,22.26383135631342,24.046524301527896,22.96052330912936,27.781135491200793,30.11002715124966,32.12611318632487,34.71466625237744,33.66962225112935,38.9345020076751,36.630705526909985,37.85902228727113,34.245049564648305,32.76613875410626,35.43042190584727,36.619197281093626,33.427392383973284,35.70346246558382,34.425973364266085,37.3138932957788,34.800290533398176,36.15697394498303,36.19983564047692,35.007594490927616,33.63999706843033,31.97289659970251,32.85970560407909,33.28025845412519,29.04224171143489,31.622077446599498,29.94585990638827,29.93675268704539,33.38234799888906,33.22884808052649,29.11431654207141,29.553876486993623,33.33251765601948,30.280560697122013,25.843056564754644,30.62903185595526,33.98903061074445,28.38110622394355,28.824683971306158,32.64480680106253,30.978425834718593,27.403543154823996,30.835351500046162,29.325806396976354,35.01416292446544,32.4437768905793,33.32677714868858,37.22320467438081,40.655654941723995,44.35682247927698,45.69562493604456,47.3196858185523,44.81548695821225,46.68038132150068,43.887108492398674,47.057904558615704,46.04831572417766,39.83220897165361,42.13487233807324,44.69178606592403,40.48348971796306,37.960472223380975,40.075960384181215,39.60491322093071,35.71598295664194,33.776963936025965,32.79744385019591,35.27359491090575,38.81698910929053,39.420403869820596,41.68342141860721,45.087853973829006,42.15760683196391,38.28588894452311,41.46450845257155,42.04342924670202,37.093439200174274,36.51533488530375,39.564903708616384,37.9850046386107,34.877398773104254,39.4665439501688,40.56228110792568,36.52035360461267,37.41655757165213,41.20503997750995,39.44968452673367,41.747242138876956,40.11876021664798,43.171165622091955,42.09478058282703,36.43147016879914,38.96141944493206,40.24886599201338,37.23212286586575,34.6868910506,40.0077916066587,38.91463505602747,33.31942942151264,34.463334060495924,39.05848663277249,36.79927462858358,32.76298825502615,28.620408725641155,31.409505659326992,27.57550141253286,30.22969247338665,25.269568240238833,26.263618420749463,23.5345690384536,20.981346587626273,21.43509183688497,22.880940576267122,23.11202399752809,26.296303083501503,22.944265403545373,25.820400529578382,22.298397917135862,24.0739432374231,28.657095550597163,31.2248260537217,30.763213006357528,25.714888797755794,27.81505528816008,29.660355654376758,25.104370701137835,24.219382462347024,28.737783376308375,29.680654667484706,30.174119289066866,30.79109590185721,33.052436627724774],[28.91538702561612,26.677160420807628,25.74875847815315,20.44007433180602,21.317148393233023,23.961591201479706,23.66762519014669,28.060984280118436,26.597793582311564,24.932477445886743,27.59071704061018,31.546204477594994,28.46892201959533,25.479541062636702,30.190859518540975,31.498631464427607,27.612715327745917,30.143205756730286,29.03442356983761,32.070836939274955,33.532681002847795,36.62048478964991,35.86126704339404,33.523255810949934,32.07828112842837,28.878264036978525,28.631193757781606,26.75400557874519,30.03953520988731,32.3049217527115,35.43320165910423,36.82484887826766,40.72215848699541,42.630055778299486,39.85452678472343,36.42488470136322,36.7698819294147,34.03300243396477,32.482526844645975,37.419662005814544,32.47562891245359,34.033711256762324,38.18173826748155,37.281664081608426,37.14064538625985,37.00460795352605,40.18440201589105,41.08131647013196,39.268540418102575,43.290097193726176,45.634567132665836,47.19244305108458,47.93821854271213,42.82412253554588,46.1213642505933,49.022505641204624,45.47182700894038,44.23049036158713,48.47267652600524,48.77644110798187,44.15811950851623,45.975375967409235,44.97309378032216,44.73899089170217,41.90278871038221,39.69655753861916,36.28308029989909,35.08127638992217,31.413338381293833,31.294371927508593,29.532954795799114,31.463429054100875,34.51682925594086,36.08807717659745,37.49771591565336,43.29302847458653,41.80906891316678,45.865866688909335,44.45733072718495,44.61139164794862,43.870641432873505,42.39780296106876,42.3899779299196,41.395919421393586,37.27063947525025,37.31593839783481,38.16060181435327,41.02849987803559,39.28044052075519,43.985376407183736,41.1339363352688,44.04630611895736,41.69397959616845,41.12306495245583,36.867098224076656,37.90226314873596,33.93627273041484,37.49309225710049,36.207311107651215,39.88051816203329,38.8952699152328,39.19899180947193,38.52886758856292,37.593067196308176,38.69037287085386,34.79231622285773,37.8856617319278,35.92004135654065,32.90883641453777,33.87619039414368,29.72965328984113,27.922814394061593,25.776161817758357,23.10193417240201,23.022738121022474,20.08970700471713,22.285167816746387,19.53611386662863,23.873741268267686,25.24968459418008,22.062245372828713,21.49131635834966,17.029444853599173,18.011940318704113,19.69310619495155,19.957990215496892,23.635615698327786,24.654416597942582,27.312703998439652,30.97502104824811,29.304555350853818,33.88212661220816,32.61093297314269,34.77537214766455,29.197399872129118,25.76745684659105,23.093386663505793,20.270875083964366,17.11281412883328,20.131673970723945,17.665521838455707,21.80581186063831,22.987215884517212,22.61409050158508,26.85733460083793,27.483742268279403,25.0103847617301,27.198724083530323,28.58917507929089,28.30851742745954,31.4934388188906,32.689229071951566,37.71626143377338,39.3286739889131,39.035641362213084,37.785821555786754,34.37885712279734,34.77512173644427,33.36049423853605,32.61678608780789,29.324259815107403,30.593486695117427,26.07759482623446,30.388870337037684,29.06190982112207,24.483800525737067,28.056031337105328,27.772555315425624,26.220128502985382,22.86761950331769,25.060296183531236,24.073090308253487,28.95288352727384,31.523501462045953,33.65170823867174,36.544596393820676,35.50429857138651,40.710211385957074,38.05708331325867,39.44642986560453,35.50847342729108,34.62702862633029,36.91273702772508,37.792595794905395,34.48464178259583,36.37104106659276,34.92494410126028,37.4865909838902,34.61588842375848,36.26427159493296,36.269126521990664,35.48738040497356,34.27685746087128,32.936556601391956,34.09368379800627,34.690199190339676,30.73926819918548,33.642028451931395,32.300155308915016,32.58435213893531,36.16407836222107,36.26131304909463,32.16067336417328,32.55604091725036,36.50227479861121,33.6657115214982,29.13062170902539,33.907316183605936,37.48586609080763,31.995169118286025,32.34550934864097,36.21781884687134,34.71574527581745,31.093131590357398,34.37606746062703,32.7152254817199,38.444856855526766,35.42497379324814,36.45755973359397,40.44272618122194,43.65878866231803,47.525900103387706,48.61745481111031,50.325070796586104,47.7437927357928,49.54571814909517,46.74526682985688,49.68078828382759,48.68319732352334,42.489080069953744,44.63957746722077,46.97341920644473,42.77997428184904,40.23942141711019,42.07031076596831,41.49407574907406,37.787243833072814,35.636254147949074,35.17687095067835,37.65025340543622,41.286395355699405,42.21968095101877,44.52812620411383,48.12272451901522,45.17236666305584,41.28471435886786,44.70045250434107,45.34988012294831,40.37965431724983,39.891429222188265,43.096109207490315,41.60215495772249,38.491964552996116,43.04533494132669,44.25699837544982,40.28752073291107,41.08158279060603,44.8256227330632,42.95235849207389,45.15327927108456,43.417751547600254,46.32611141519143,45.34058474039079,39.68178711438565,41.97731522350834,43.205684479795806,40.25352454237799,37.52368740508713,42.64600078055894,41.55455384618403,35.98871998719549,36.87233395419676,41.33408852400533,39.099089060237105,35.072353532906575,31.14178162201114,33.55066681776877,29.840134266318188,32.88456746382254,28.1524815255651,29.38460126327157,26.980199779207073,24.15219030703815,24.38167774384867,25.395113036769306,25.582085947891912,29.032319849891284,25.87165349862632,28.5471579492977,25.227121430203702,27.42504989503363,31.96063767320501,34.69730389307505,34.19147137523787,29.187828382137596,31.487445597736613,33.37550178490332,28.70416080264821,28.033019372255694,32.58540325520282,33.433634772590324,33.81825264067655,34.27415392207143,36.464273595240655],[28.56224419749229,26.548177398326562,25.878586057652498,20.256541159048744,21.332824147364164,22.823372116178408,22.112688106934158,26.219456183986313,24.099886939787904,22.147244860594338,24.41282959459004,28.555068690936437,25.706472737968937,22.229860609769595,26.836716651259415,28.468549543284848,24.797093181972826,27.20825357571758,26.208232124579325,29.64061437626882,31.138681860779915,34.602003060516665,33.81976074119749,31.79323302112263,30.398627802795126,26.816397421868125,26.763428372862112,24.606208442003922,27.577147724554134,29.803194585353516,32.27828150947417,34.05656694034664,37.70749803495883,39.62195769748951,37.16086206772556,33.81815501146813,34.51244480644863,32.06164568244679,30.930786988077298,36.32782310260709,31.462265226642963,32.34278795837801,36.66919370890448,36.20441387571989,36.21628315719596,36.4977298629554,39.562993239177594,40.201472123826335,38.85651845240324,43.019831939119825,44.98026412231372,46.60287779999628,47.07432721476957,41.877844279264245,44.94211074007356,47.74152303842828,44.092676888571916,42.59155753707956,46.7445718716889,47.1710712057645,42.292447490659306,43.683180494899446,42.42779929443317,42.14499040246942,39.64024618239976,37.35124483976196,33.501409152126,32.1059248691894,28.16611506351566,27.768065039129855,25.87882804716959,27.60302100382245,30.817422998975754,32.68890063239189,34.18410481442069,40.05349301502465,38.980936219360295,42.95920101011179,41.885233755716364,42.40880146380476,41.844667448467135,40.82814029415128,40.84868180972335,40.31409554974926,36.265157745170235,35.76163904882538,36.28296391959017,38.90509810893592,36.81747927169886,41.199060733056086,38.07837174218042,40.71470661997452,38.25698019755649,37.72165445800165,33.49350696813551,34.26092478403546,30.343337589341537,34.30755822427442,33.23577626217139,37.16181213846167,36.34903036006686,37.18812004371427,36.599990876576264,36.19179736387271,37.84357845259858,34.125472736090074,37.584326571324134,36.09476957746011,33.10833976634348,33.49701521790749,29.25607338535089,27.09867648994718,24.3583492627535,21.843251143117236,20.871267532751844,18.176290736475043,20.028828851663874,17.58860048433123,21.395489485704886,22.381256901141185,18.989651540997926,18.42927634930683,14.414391561974966,15.806120022408182,17.7746337187604,19.13870659251193,23.133987712752106,24.41005915277731,27.45796482873181,31.015542184620635,30.138390976853305,34.722104101354,33.542996115745716,35.09301970579402,29.799487699432508,25.948146596466632,24.108764040157375,20.693991416101184,17.198733641075645,19.679772594591732,17.26447276828231,21.27143004412841,21.660867443115784,21.415995609901284,25.622314560662208,25.7868886032544,23.415242880988366,25.35766928480475,27.031980709671544,26.419356375647485,29.93248385778666,30.618071561044015,35.79185465964034,37.074728918706484,36.49480033909604,35.449291141524235,32.01932975084691,32.9215533531581,31.29302439890692,31.305663028578095,28.37485759679059,29.176270950400276,25.269497504030877,29.564602617269735,29.060442074065822,25.055573470105855,28.962111138084946,29.244269766160123,27.92754399293951,24.205743174151063,26.06313674365257,24.396672697959985,28.895447041031666,31.05073838164801,32.71527517674941,35.398033962355754,33.814831473480986,39.227085427411495,36.91438690415265,38.57374367151719,35.096976079131856,34.188521887575796,37.04106518149044,38.22337131639437,34.82201076251639,36.33788510302293,34.47467933899651,37.353218277301096,34.877361219871744,36.85124956392643,37.283727020214826,36.317625106703865,35.527202794755425,34.230405626035164,35.47929146380137,36.369216928269736,32.34428868750537,35.11707224203043,33.812923267654135,33.48040680322917,37.27438383962266,36.820688344727074,32.69347956049833,33.67285193147793,37.37608273806059,34.09830858807586,30.11396083067677,34.980277614896664,37.98071740362638,32.385959625175964,33.142818006903305,36.87703862649081,34.84140663761599,31.497469202860533,35.19407532153505,33.89940742927421,39.510259665910915,37.315283605658436,38.02122683290946,41.849340542737174,45.35977468310444,48.94877889618459,50.35841663239769,51.7860540649056,49.16666660462768,50.84626520534981,47.813941216924185,51.04836794676719,50.317339169501196,44.02580096792376,46.0774144664402,48.83955205339546,44.791516995679196,42.05145907954862,43.986752012839126,43.871088250515164,40.09214135673255,37.66431994796522,36.9010932219264,38.81940702809302,42.4503985698102,43.170443400068834,45.09688074791392,48.521878662889286,45.253719615693825,41.67528610776652,45.02689213913347,45.22886232867335,40.23926447254853,40.090854707034886,42.987093715167894,41.22888304993225,38.44271487927552,43.213796755042274,44.10295013564808,39.9995945753481,41.317070836408675,45.172051241812206,43.59580516295819,45.83388801724575,44.082084579928726,47.30269011607206,46.43642561666269,40.733839837972425,43.21836480522827,44.76188765964627,41.81584436418941,39.16310672350365,44.55742343150442,43.69972015165793,38.0834405244713,39.06296144784063,43.799219163388514,41.70105222450998,37.65993086803175,33.548510778334624,36.43279927306589,32.63782397626404,35.24019851827036,30.22161236934936,31.015440675370954,28.01553883210729,25.791060112061313,26.285390923784306,27.84359453209142,27.869013013025114,30.850779635138295,27.07270469847745,29.57325806656688,25.64647218596654,27.629326006916063,31.737600335215767,34.36862143666437,33.31201372563467,28.608760962573598,31.091870785861587,32.381698379124494,27.476996872246083,27.236993120840015,31.41687270737646,31.834218073538203,31.850812996897147,32.08921336345935,34.02352548325885],[25.58408739340628,23.10298159816468,21.65501687283159,16.238782853934364,16.383780255785794,18.625142170342315,17.838520913064468,22.137808091016208,20.769114037298333,19.01689177136598,21.863707439344818,25.69052938123158,22.551499114367044,19.85529638937542,24.695612929381724,25.846290928367285,22.112208551622626,25.082120106909738,24.721293439830273,27.529597672303897,29.56902155571428,32.777806291788394,32.535999983937124,30.60422544390422,28.582369935432688,25.108516480445424,24.250538090732697,21.83310551796978,24.776794832818837,26.667321753901287,30.102935096288142,31.078502826837784,35.05506844715091,37.20415401887196,34.36868811678582,31.15408692631765,31.195524401251276,28.975426263500527,27.608493786105868,32.846515404625684,28.322958999513666,29.819961175991455,34.096159566931775,33.35307240361848,33.76082302724626,33.98685382592868,37.265600675964855,37.594162180746224,35.85329695703143,40.086079109797105,42.04411198404141,43.374993480016656,43.94168308710962,38.82842197773861,41.66992517358078,44.81678143774704,41.48737314397256,39.82545367690061,44.030278361434775,44.79315547213693,40.16039219719069,41.82938868964334,40.51484208215765,40.82903170312968,38.047982282872475,35.38919781786983,32.22098056689827,30.52895328775223,27.237045669467058,26.71096621959392,25.36389452438854,27.77008346810533,30.342417851438768,32.13946634430731,32.92699558571343,38.85201222421555,37.18608663074414,41.01476321128323,39.53614492687394,39.832113838343396,38.740525159085365,37.4442236253573,37.046171949921465,36.288854540044476,32.340580314496236,32.08774357261392,33.18688596160595,35.67046231035524,34.26359541292836,38.76739187135032,36.09025733361288,39.21919244687247,36.675405724751634,35.82241912789213,31.44290173784413,32.620527401405504,28.56498009894759,31.766418757074106,30.3158056263235,33.88857142729577,32.89876071917143,33.117961776894916,32.56405237283591,31.638512089900356,33.03016610453947,29.127299112722486,32.42172151289706,30.7941235958429,27.785467041158295,28.346065113582473,24.158726119539516,22.135080024264997,19.762572096047695,17.171404957695728,17.067898449936344,14.373442729754327,16.986638852306772,15.008930979927925,19.844950558978397,20.44067375108409,17.26183619620771,16.134153863109695,11.559421240727684,12.041745799370803,13.608050816700493,14.13582907008515,18.10825494312095,19.176682378075,22.130689194471124,25.772210691920726,24.76833762172724,29.370589540340138,28.330390154894936,29.924335571254492,24.644993814288423,20.803201614730078,18.79644505276855,15.580062504400594,12.367516575889145,15.314979383928907,13.998934236988758,18.592164634686252,18.937754330800995,17.953423599525212,22.189559073480847,22.23572712603732,19.546562065429686,21.360195043546934,22.636240999713635,22.22335425385436,25.47204457718828,26.685070745771974,31.719905855200523,33.51252491815936,33.09893731974972,31.72902961638467,28.30712740682152,28.699263306557686,27.336894647904764,26.705013034450804,23.721177644115627,25.119916928095325,21.04580235931568,25.53759829602851,24.838869228965468,20.892373366883984,24.451813190121612,25.05100384747587,23.34976210654205,19.585828485480036,21.185729115261665,19.622482565953604,24.24069737962006,26.43340178408649,28.299475746520258,30.94044545405704,29.761203478106303,35.05478533006713,32.7166831399567,34.09257311403851,30.56380039791262,29.29718950942778,32.12008404374323,33.39448302854054,30.102962167024597,32.09650595011906,30.616533781355365,33.64606570309596,31.35395183670289,32.8710594818743,33.193268680544335,31.90246771403161,30.88218477000006,29.34447813398341,30.42414573240973,31.234125933419968,27.11073694379552,29.79436084532028,28.51328022550355,28.118874127152786,32.002062029442854,31.587397848371303,27.463034355821538,28.564623397507056,32.33970306406868,29.18663575364776,25.326237203561977,30.261831804943803,33.317508029048646,27.98893904844363,28.90353489592987,32.71082901712352,30.830794510235847,27.754753783078495,31.53502196019228,30.024994581507375,35.59132137181826,33.30342033507186,33.64863065574309,37.50224229034486,40.835689278103,44.508453692020936,45.69037266658006,46.92247417495115,44.158838776410484,45.702173020400934,42.575078374812946,45.77842779474164,45.17084495021555,38.845648708290106,40.784797835404994,43.64214487402842,39.68253135435238,36.83499416011517,38.76582672911135,38.86216917444021,35.10344748271823,32.494883119474906,31.684062275742136,33.447293676476974,37.08871104606061,37.87113931769504,39.78575983663242,43.29951695824256,40.04512240781963,36.42628187345051,39.93778424670309,40.22230011191403,35.211850560089914,35.131441122846766,38.23361691739141,36.63440067504241,33.846311466642,38.60186722956687,39.71052847728918,35.83780282896193,37.037824198770814,40.82000439514525,39.09212711285023,41.094846629824495,39.13663228066205,42.30465784554504,41.68459931951142,35.94276647390084,38.194108415409445,39.91638580119604,37.10409608271156,34.222647191243624,39.630841786129714,39.08040205251901,33.4474110120726,34.19381201007997,39.115170941759786,37.30506123207994,33.26705898590455,29.242649659936617,32.50721748485839,28.983017462048533,31.508417745817773,26.4440263575113,26.752271400191347,23.84220581839656,21.975218365848463,22.043384957755926,23.672833323714826,23.2568090303541,25.97504579268958,21.94390301458837,24.25828199063142,20.34488855828423,22.62673257313616,26.72434040160012,29.5433593128014,28.633162980150875,23.845930452944827,26.59942964528724,28.17735066919338,23.216149488891897,23.256287908627538,27.812503601477076,28.238910464238156,28.41681331482502,28.619234191090456,30.854089492591893],[30.202974546718387,27.5089477617379,25.565402844066853,20.5104844179416,19.683483438922174,22.796227446223007,21.620876255104122,25.770382262927296,24.726198586188648,22.387604771005034,25.181350285950856,28.991840892907106,25.078707293717727,22.603112100480384,27.010370189018694,27.815745984825245,23.510541706696436,25.829544380224835,24.502697731918293,27.085306892349493,28.540410964099532,31.31729435537828,30.72429032341064,28.316041145076497,26.646979258928614,23.69104810990588,23.25134992283406,21.691036111536118,25.309389192126094,27.866130865847254,31.4750451832292,32.757634177468866,36.839755837783585,38.42281375903515,35.3485524311517,31.728896465810845,31.99643426470122,28.785581922666097,26.983007097560847,31.667428945222905,26.660872096564017,28.492125399864562,32.53036870372435,31.47292686927808,31.361342204435626,31.204779434084127,34.43589171788404,35.25892701293634,33.383535711159915,37.40905370688311,39.73857783040558,41.27966247841536,42.06585235241946,36.984319125333236,40.35440553122864,43.24769327733591,39.748454445568385,38.62231688256179,42.89021627032616,43.1476667017888,38.68925541630533,40.78237503951757,39.97428914963329,39.86849804506165,36.759251306353406,34.56573283899846,31.63025767393573,30.623816915368696,27.38766329755331,27.716349704131208,26.21168787930404,28.584209656734973,31.18133496886797,32.25460590760039,33.462168853748054,39.09141679164313,37.113619821547466,41.247761307955855,39.523995951379476,39.355515386711204,38.603882581232455,36.86654726043022,37.07073025106222,35.86859129539335,31.652180515391528,31.94673189457226,32.794089445295384,35.9562651248548,34.31779196748931,39.36430753680796,36.79019393804264,39.99987215569007,37.91722233478303,37.489056094570586,33.39739892962176,34.93288320531306,31.152978817532457,34.19634815394159,33.063307632404104,36.93787699867021,35.14234151620023,35.52761831120851,34.2137658835373,33.4757326483141,34.079552982263124,30.59320383619041,33.86474869940267,31.883555159039485,29.382934287407878,30.312996906883935,26.560628901266796,24.085123428624524,22.458047653595923,19.093752076046094,19.10118577315335,15.681900291503093,17.624008153497847,14.46281907100848,19.116219929270684,20.91140814696495,18.12532924940216,17.916059448451012,13.251830627333652,14.513679701775231,16.83448509483098,16.315569848589163,21.053969236377043,20.990020802780982,23.649693928437042,26.69909402181634,25.37832064478243,29.8150276638901,28.043766831442976,30.04863095512938,24.428548403507776,21.059915890394624,19.021966310294037,15.52070474375097,12.039367909872679,14.68823789056366,11.803236981165815,15.942463943194007,17.36677819958212,17.052111375661966,21.244504991273942,22.289141831192556,20.000990319544268,22.71633589959517,24.37086537300668,24.86433071752671,28.268361590303392,30.077637997879194,34.97909488572125,37.350288721631934,36.62993681829077,34.79112296012506,31.11006487075044,31.220221142604522,29.352033512678883,28.39319962303177,24.51296736627954,25.46796060817059,20.628951698558843,24.772838019501386,23.31409430268929,18.7681831886716,22.597262040466827,22.448582258106352,21.319431099548993,17.74488342221917,19.991417977683,18.756949647489964,23.528738689897928,26.209384650970854,28.416950735367855,31.576075724762127,30.702351974513704,35.73041655371218,32.73746394851569,34.20898963044341,30.054345232791384,29.702514748300427,31.73709442570873,32.471918142037566,29.055436439431737,30.617397852397918,29.080991856841635,31.57391584366225,28.717647764182885,30.490334221182934,30.667318641795774,29.941323406899116,29.06230358157211,27.987697049915543,29.4571106383476,30.528471150708977,26.894139395393132,30.090988033620462,29.41768078899946,29.55536137912223,33.65462863892825,33.741730656181424,29.696209721064623,30.70409337635866,34.78419713166828,32.12798518272303,28.136756810274452,33.038697195620664,36.51564711714527,31.554889552793124,32.33549002819805,36.257356355744896,34.782280237809864,31.732324342212177,35.258847622679205,33.37683034605505,38.98706965564982,35.88264959749053,36.30179984974174,40.312289937061266,43.17529550902795,47.166990342954925,47.80427820719249,49.07457494751565,46.11235679544305,47.47420407519387,44.308394334389305,47.0646190012309,46.540832911922934,40.262632815372015,41.875346259742564,44.377692176825825,40.50471842148164,37.58307665140076,39.00950992026189,39.04171475813,35.61884191003797,32.555929596037565,32.638036828088936,34.33243885595768,38.11432397921384,39.50790133161619,41.50712173629894,45.379125286289145,42.148045450637156,38.4862419074573,42.457629776781715,42.940719889789605,37.93404241808333,38.0017309856746,41.46908841998499,40.131990983570965,37.325610786356954,41.9561307844271,43.38862357735903,39.78304945930691,40.69896672421591,44.34584473771917,42.331888621578436,44.04363139215293,41.81352393737428,44.6744860139592,44.3310756980847,38.6050200569677,40.3211939464957,42.0144716267233,39.390637997359775,36.09014803386477,41.1366802452662,40.75409319997115,35.1788206232014,35.35691371391899,40.139247042751855,38.535734896399276,34.52225440227975,30.909009758049315,33.75126349775192,30.580299523131817,33.69389956866107,28.98087989258763,29.46078718240864,27.18219183379371,24.978450041838787,24.47899701390842,25.410987025590305,24.708482401487444,27.74683425562358,24.022479704705837,25.894364248172778,22.50187929190164,25.604456136504513,29.610724243318565,32.76748160376862,31.946405885466675,27.241763420046965,30.352675231158543,32.199728706607054,27.167079305380703,27.569340888985863,32.33576516690775,32.68411119394618,32.82039461534106,32.78202575647165,35.04180198678118],[31.92724409921158,29.44994606607528,27.75321216423593,22.442221512853525,21.74616396678932,23.836982575059782,22.13040778856412,25.916998581949887,24.20167555898005,21.29420930885215,23.589018796398076,27.644324377045642,23.686938507500823,20.653281373526198,24.754041052585865,25.839531259188725,21.512450773817182,23.355337757787467,21.620864617421518,24.710685478757206,25.884329170222443,28.99593393221515,28.12828845725656,25.86187418434693,24.50615349488364,21.24711789506341,21.369259248387053,19.848698700216254,23.40111229962345,26.25350901433261,29.0686404611088,31.034824806811493,34.8542879867604,36.18950416428951,33.415349754022316,29.69355710141355,30.558717036196082,27.243343006910326,25.808479426471067,30.869579122115034,25.707829582991476,26.729771816506563,30.910865466902308,30.29600577798369,30.093256194588857,30.303128338776943,33.33136350434188,34.10257333555605,32.80420688812673,36.90013156713529,38.91942548022012,40.66562166628966,41.19869922133915,36.03062833563324,39.3665139388616,41.97838153196769,38.24157960888089,37.05387142464335,41.23658978648279,41.37500586106726,36.632704074338356,38.365290503134915,37.47764348714622,37.045553614006565,34.2121289915119,32.16448091939755,28.68665665642849,27.784738631091013,24.132227198116233,24.552612433497856,22.750407741173476,24.83260420283316,27.70965843179446,28.809146549108682,30.402702681306074,36.018767646819526,34.45277593502668,38.667650034893775,37.279795769728,37.38607272377843,37.05786651952646,35.721530292207625,36.25505029438377,35.45975658405433,31.219524627781944,31.026721442142126,31.300692167729984,34.47521146078291,32.23477915359988,37.13526938248826,34.21882259052355,37.09860187909328,35.09440877763828,34.925737375969895,30.987849739061787,32.339417063959324,28.731823458530698,32.259231287071856,31.534286557604677,35.85588937050679,33.96299512961932,35.087948330167954,33.5851771700623,33.57788804425818,34.5790011341852,31.45807610187194,35.140260976300254,33.58887270027568,31.266845226763493,31.66180375212632,27.928109693691766,24.930705489926495,22.819675214079986,19.39749875099342,18.26440757552001,14.833647344635787,15.970391443212717,12.570311930159592,16.357020366421576,18.305820538195498,15.374993194858435,15.6805260313995,11.507986761677396,13.735991891439342,16.734576367251897,17.255383220256594,22.532693415489636,22.4856841691345,25.48685521865207,28.23227412720511,27.705021383438645,32.0643242633959,30.186876252843295,31.61781162179649,26.265059042927387,22.597251071483438,21.527897777902425,17.353156462651786,13.458417458066597,15.150390410458646,11.6023759708232,15.16196779978145,15.945474276818835,16.22478322432243,20.35000023563415,21.225167974837188,19.262433434768642,22.04502286722875,24.232180433711093,24.63494770091461,28.49678678012217,29.8895042576993,34.92889568116681,37.09032985111688,35.933471039732886,34.18134845304134,30.37098525595441,31.00674763808518,28.67862365892065,28.554062006290007,24.800352454223667,24.947183178082813,20.615322559603648,24.559329256386018,23.883736321540237,19.903695231734297,24.203554856491554,24.406853602520542,23.816211981595202,20.002982965236175,22.032352264679556,20.10912883816269,24.38044678823114,26.70330395920098,28.441485704560623,31.541261104032856,30.085396360370005,35.27832778357081,32.44519616140996,34.30860772476338,30.488967392413656,30.472105264812615,32.88608620209997,33.76453888233844,30.21240433460888,31.10137379162107,28.990437337171844,31.611612049264053,29.010310285287414,31.324601832543223,31.96422281442012,31.288405409158628,30.984995359177137,30.15700809355941,31.847551935281057,33.29530447287827,29.772763779384675,32.938491675717714,32.441207338485555,32.11109837375719,36.43597370304651,36.10171170877583,32.059053345488515,33.57992418406421,37.47978939015341,34.501999387204904,30.972780503239438,35.93502226734528,38.966303181416386,33.944745407881555,35.03573602533482,38.85177327392884,36.957780338921765,34.11102743289812,37.93829020854028,36.33031411035134,41.867462118130405,39.31968629039764,39.54443003282133,43.44730531018213,46.50185077266151,50.30970788002588,51.14137321948631,52.199529707974996,49.18421899919914,50.40959008046408,47.03444878255108,49.96207430920183,49.691582341626415,43.35703046871358,44.81101955240661,47.606781207085824,43.887214006359414,40.79537855702793,42.19138880175286,42.597049894374706,39.19966484528271,35.83559840531618,35.83888199609375,37.00072341952733,40.793120232536424,42.1157862117258,43.758098188552076,47.54235768812419,43.99793191761755,40.64564437894158,44.64617989323995,44.729879431793734,39.70956757792474,40.14028872571952,43.37136094287422,41.821584646518296,39.321632653241416,44.13297246949092,45.3068631462927,41.60790811745352,42.959465747420474,46.68964316508215,44.90534666479791,46.621614000607,44.344405051748325,47.430740406858256,47.223035176887564,41.469171137382,43.276096119567725,45.219174949300275,42.61938257718396,39.34524623120431,44.54808035485371,44.3513605361579,38.7531746344131,38.948695069333,43.89276709955966,42.39507319096035,38.380472563244666,34.67073666518907,37.74429576563366,34.49873141690761,37.38299572382257,32.49371074237993,32.74363214975277,30.049590392542097,28.212964970948736,27.933617694751582,29.19174066399535,28.416316930294432,31.14998461987666,26.988325231793976,28.63288901627113,24.772358790014522,27.78598278277299,31.348684423260938,34.46010555138981,33.08887059802892,28.717478835818998,32.06477953664157,33.36160304359551,28.07462696294033,28.961771538734254,33.38682268442594,33.291699723900166,33.02318663073961,32.684399297267575,34.651210665475155],[27.26038800007331,24.99069834545344,23.671829490384788,18.17311364538055,18.13944236162805,19.19122455557296,17.640642809886515,21.446414634089674,19.36329347837768,16.910381915644493,19.26300577598582,23.35706471475437,20.128030644600265,16.869891457101662,21.474609899363514,22.89436448254005,19.168343390452296,21.80982908357275,21.30229473738307,24.523442309183885,26.45574865502887,29.984633094595207,29.62837109286859,27.94217160917666,26.068477426808123,22.281526115764272,21.766891220993593,19.241585736153294,22.01351653905025,24.099280602435783,26.824974594648193,28.385966668838964,32.12591466286758,34.09221188740938,31.53242857655519,28.268503539902614,28.81889138322271,26.61533754120793,25.63624595784718,31.261732091808785,26.699529578795218,27.45647370398204,31.865297551093928,31.56471745072342,32.024372725375635,32.653304081439416,35.75061166537423,35.90669913607684,34.68950464558807,39.005221530102176,40.601445789884714,42.06070926307173,42.363150002809505,37.17195498909642,39.911393247618115,42.84454917785384,39.34878654564978,37.555695841596645,41.67258566415447,42.421070743001756,37.53901282284804,38.8426449916702,37.38523129166988,37.52837659526479,35.0260906338596,32.39680701154593,28.796307999307228,27.05953713530017,23.469230736949374,22.874671100848506,21.342742048748395,23.59464993149707,26.323348485631733,28.242365034322066,29.223770871329624,35.180790515544906,33.864434886699534,37.709566714990984,36.533665710795376,37.11715448486441,36.3478793160632,35.457874700099254,35.29865925994734,34.96453767063426,31.030423767669454,30.270259455457307,30.882892554160808,33.29517709401962,31.394801376985605,35.709223724402214,32.7419394693545,35.60634244921071,33.080215440304784,32.40683844267744,28.13163654259673,29.155811177888765,25.227052458448807,28.86408258908503,27.79478322553254,31.822664084853788,30.71079817738866,31.672265816811045,30.921040670213543,30.74381200723799,32.54782694564973,29.04540581744068,32.77783965567022,31.627364794341048,28.87514449265005,28.8376883360831,24.744209700035345,22.09191583235223,19.230750869467713,16.55268488203806,15.204923154484787,12.550118393207008,14.463042881591345,12.546549810481304,16.70648702335299,17.11692701002239,13.75895561569664,12.89827554105935,8.769477454450916,10.22419871396738,12.618521450185428,14.311347576351334,18.967916252346434,19.906944220538747,23.205107570693045,26.431036175802184,26.32587988121911,30.80102884412797,29.627955809152716,30.588757012172387,25.620939243527904,21.48288432525571,20.590018120423775,16.625584046596586,13.00903305096899,14.955391703708875,13.285653961051366,17.423685485309235,17.014181226831198,16.4046436161321,20.5455146379189,20.298831803932398,17.88567296397572,19.69436960754631,21.506925069023083,21.015744991864917,24.77180857120806,25.577187177938086,30.73792964403526,32.38571891043358,31.467518026818343,30.141647740815497,26.568232319008576,27.495978965214,25.648707770244556,25.88011906910515,23.047649880667294,23.653801294143623,20.153744474546055,24.464773216710526,24.58540450257725,21.253821553984142,25.240002470120782,26.25422629191864,25.06700669060938,21.041287064781763,22.398933103249448,20.120591682085312,24.20207819345337,25.999108567879293,27.37125941451277,29.919678900658038,28.15248175696435,33.61303360994356,31.47299957740528,33.22399237060778,30.074494408358536,29.110919889839625,32.34242914877728,33.78769777942677,30.37185724255469,31.73331746979211,29.727932823628954,32.93692295098052,30.98326581116512,32.96106997392504,33.739096075834894,32.435081337904975,31.987147648415466,30.684912916556495,31.993187971880378,33.22510065076719,29.25460071155296,31.921919735365574,30.917291217043868,29.997230304675394,34.16028989442279,33.28397227399098,29.209013263296878,30.951939569510504,34.50858680193026,31.059517301487418,27.853901528387304,32.80544559205442,35.31751155242479,30.071820777046085,31.392203729810753,35.04062080948716,32.7207288402461,30.01841025613932,34.117957984883525,32.89384919840063,38.28905376150485,36.621898469451914,36.64849203804397,40.350777456936356,43.81289115079035,47.27502545180928,48.601702051560785,49.53032942416528,46.67328327487365,48.00406415526438,44.617687864056016,47.97980416785792,47.70624125170369,41.33698233191021,43.03168293618575,46.22439365437842,42.48479944874239,39.41740742733444,41.26838967897444,41.84469720065155,38.16197748063897,35.13036327604989,34.3001839520528,35.38107217820663,39.02889426488596,39.77630196807718,41.256457133542355,44.6876611075243,41.07372877809883,37.836462870479366,41.424231370235724,41.24730256524402,36.24518089891769,36.636786067586456,39.491828377874725,37.689955142620214,35.30616280904788,40.23627537705968,41.084372721355955,37.19090120436562,38.883846009210934,42.71364067704209,41.23082616991949,43.151578166077485,41.08555119058143,44.477346778051704,44.09927482422359,38.35970109501277,40.61097712839597,42.661884238168426,39.94513959334417,37.03070318149767,42.56129030612794,42.321222861510705,36.70587996483277,37.35777687244357,42.47238431756503,40.882025744580055,36.87416555280899,32.83957316486358,36.390035180962904,32.91447555707071,35.17825176539281,30.000245632761445,29.92670020408387,26.642240086120363,25.326925163998254,25.49324976491208,27.408837948110474,26.767023282765905,29.0568973298702,24.529307182503853,26.42943379888584,22.051644888762638,24.335202261669885,27.79962314537796,30.594639603318345,29.032629933216175,24.71568737372575,27.826118941060386,28.752077273095654,23.49509987165389,24.276435631547184,28.414316795263577,28.25314901035771,27.947576178412437,27.752458113519765,29.67434906091943],[30.13171438719512,27.371392161714315,24.95585322658766,20.15065068446482,18.168089120619815,20.38597149649559,18.114345475678732,21.593615602217078,20.46915093935356,17.39083104545351,19.97169879494584,23.654252399114185,19.25274078818577,17.039287726582913,21.05308821787816,21.606990347602014,17.186669283965944,19.466215615281698,18.4766544817355,20.92853152959507,22.770271954521778,25.73622500884811,25.54917952958181,23.613632398164,21.47704678365577,18.17099657370841,17.357281157304296,15.44108977939489,18.895865638778158,21.485604403888146,25.101111119069284,26.40543177501006,30.466740667983558,31.945148346932655,28.862502760135122,25.269896334348477,25.61290639318312,22.554777293795574,21.028032034569215,26.149542773105715,21.4103349123066,22.789716904584907,26.98625521263606,26.33320372708149,26.780464408660706,27.252807311629603,30.409544417563275,30.580679036709117,29.12164226682446,33.36424195888028,35.1109077320492,36.53916824294604,37.01700442298747,31.89490145544528,34.86193210362336,37.78924986784247,34.37519200946101,32.86744136120588,37.05038223908971,37.64175555995195,33.06073441814263,34.912718792905046,33.84987015444231,34.100198458603835,31.10443984375941,28.573077838702638,25.749966609508892,24.430213224735727,21.510393951671787,21.75039954419011,20.580788649909614,23.397085004018333,25.472769564136115,26.53542414016384,27.307164596522522,32.96590653696532,30.86067057685541,34.876231145796424,33.158361447414826,33.14782012640613,32.339775126720035,30.8863017335545,31.05043476215397,30.221184253556977,26.100444713397675,25.91973218717905,26.634670842612294,29.600153298049225,27.934966697347303,32.878178546819576,30.370605916473934,33.70085891098718,31.623113684878017,31.180945141388364,27.18213707840357,28.960704603532776,25.349763666205245,28.112234407311206,27.195694430976673,31.31815135590721,29.080914539557718,29.90778705087376,28.251908649762402,28.102833914743123,28.983679825991363,25.941034080590498,29.695453350282396,28.271486620041415,26.17893614246012,26.411810685720738,22.934059415080966,19.637513731894398,17.8699682053996,14.198809388286927,13.405125839869552,9.895074327049905,11.384042545021309,8.564519976492626,13.394566408970995,14.689993914322624,12.110917937794667,12.017878098042488,7.693282553325512,9.486899218491487,12.552888914360496,12.4111907054467,18.11554956104143,17.448401066232314,20.46002694690882,22.88617808727767,22.82972007455917,27.067406017693223,25.234125457102337,26.281135792157315,21.16605368440888,17.34348825082238,16.96142713137738,12.460230432672265,8.635205343903719,10.028196500338128,7.839388358368906,11.930749945888962,12.016332155605363,11.467042943295958,15.606577880192303,16.186210474140076,14.034580592368254,16.79553191158492,18.87973951016438,19.666149036472042,23.47007530566205,25.307600493638883,30.135473387529974,32.83846576723058,31.55740620408132,29.42780745990077,25.56473243197511,25.857450890625177,23.50956901253947,23.093745431834915,19.255893187489114,19.585830194562593,15.331219263245984,19.4229725772294,19.044134388873896,15.613264888947525,19.751168396780532,20.715791056180088,19.98955686388375,15.946020406751913,17.432613303474763,15.099486963243077,19.14303705994299,21.273284428712,22.962385525498156,25.996425026606175,24.697470178144002,29.83269386759928,27.042043818121105,28.801465992284783,25.131762452454183,24.921104487793492,27.53082594569479,28.63324378626276,25.132042804176244,26.197955641748003,24.228466182120314,27.18492096684239,25.108713570539663,27.102792337949754,27.92633800972013,26.796293336508455,26.593695883393384,25.623775545685234,27.262398060971638,28.9136449619383,25.43327581479075,28.462005224777194,28.233231643209084,27.504527863248878,32.08589911298512,31.531204542782504,27.599865928715406,29.663715283056696,33.45480339298026,30.525891666750276,27.64117977263986,32.56774315388189,35.288266044290005,30.755293090638112,32.231676298750656,35.952469701069376,34.03223512015532,31.76623174946856,35.76220551335841,34.11257611544625,39.391794470931195,37.13910154446247,36.77280654695189,40.55247158301498,43.43713566699491,47.16749576433435,47.8139558937119,48.45947115337491,45.24538131260004,46.16427903034221,42.541018121784816,45.49837948710527,45.589019211381284,39.24245171970687,40.38014597087284,43.477383568267285,40.03982819243445,36.70135968101597,38.00952330340348,38.98629516917188,35.705572645698254,31.858864437974358,31.832589042505383,32.320418045958725,36.10587883231538,37.49649913119542,38.83132347589353,42.657089362355734,38.926403275455044,35.79975515424516,40.03363370409911,39.93150250148919,34.945715728712095,35.767525375356975,39.06259743493161,37.60991312513329,35.397996156640104,40.2143624693543,41.48041554450521,38.09758835349376,39.57608647048789,43.19254087915013,41.39971754879023,42.76565747318969,40.201876926652005,43.3204238918843,43.55513900220243,37.835459520883454,39.326150688608685,41.65830264136652,39.30910496914442,35.785366914820095,41.00333502297947,41.36029429922798,35.83391094236592,35.68223843002018,40.89630436222343,39.8841466999498,35.94726890803693,32.40947668299989,36.01812854195839,33.157784031820086,35.74479319789657,30.860692415857837,30.35411945533182,27.645762463739203,26.570087679185217,25.87531312823517,27.31840902110389,25.91134714603032,27.99897799020382,23.346563131372296,24.376277662970896,20.372045660012862,23.77602985927191,26.789512856325363,30.08554960178484,28.500800654495492,24.46311064464856,28.310283604545365,29.528839807701562,24.143180427979765,25.82888907042332,30.303681325327688,29.86963883826719,29.500893619693425,28.870406574562786,30.94725479246134],[32.70121882736635,30.14665904273742,27.98236908706931,23.13859318364411,21.353193880958532,22.779725341083218,20.15318207744251,23.137082815257795,21.444086413125323,17.816919559766244,19.76282331821723,23.61650573577586,19.14944557577772,16.402649001428525,19.923443097286462,20.721831721692624,16.26963423522509,17.890749509737315,16.40298164362178,19.343470935608007,20.842742738710477,24.063956675806104,23.60587358560719,21.810264448196317,19.997148179125517,16.500837756825153,16.328092132812397,14.60069200052538,17.943758713397095,20.89762880628129,23.649335779446417,25.695400054025903,29.47151474556285,30.621798245026298,27.81995903582694,24.10020266164395,25.087932831601556,21.838416497531917,20.684847473050663,25.9570976897556,21.121642639970396,21.702912378272423,25.941525843851004,25.619717128769665,25.944651832997643,26.612201512043995,29.56710173117194,29.780794038031072,28.720023627955452,32.93851789463245,34.46225641491555,36.09242541387227,36.38073543698343,31.253040023438675,34.271688487605154,36.87174371078347,33.27100283444455,31.8385181775062,35.910903972361375,36.316937389570946,31.55487427174624,33.117500657269105,32.04953120042048,31.958803540061417,29.18689500532818,26.85635737578209,23.561709188717977,22.397731276532703,19.087059037126863,19.49287832149327,18.056136589437028,20.683112734094202,22.98236592316693,23.968415809655536,25.127048234310504,30.741971593910165,28.972344038658,33.08879693674107,31.657820616459823,31.844929443571427,31.49700810289095,30.36613426988263,30.931528198537425,30.45746681164856,26.33567128122507,25.774807005710365,25.87787860465981,28.90993581419475,26.634314947962785,31.473324858836754,28.65802467101855,31.68877605608499,29.741888252408174,29.604089871915633,25.805257703939045,27.460304359216842,24.077946709438066,27.279290868866095,26.832538334436986,31.391953682942326,28.974499718682885,30.53514858207708,28.622180368920773,29.201499750857145,30.328351764265673,27.719464952098768,31.718628798543733,30.61907835468367,28.801024659357882,28.655387967515207,25.36780356435099,21.723519562555875,19.692953821552784,16.146627053064886,14.178319437071055,10.977377463992504,11.100638717845449,8.172310046987239,11.577449911249225,12.972537170912478,10.25042943014834,10.996051503366274,8.009878451445275,10.874119881588618,14.37635839637371,15.143513574852406,20.900408094906176,20.18158037553402,23.248799609299944,25.25098118841038,25.71637289972382,29.732998823861568,27.740914914852056,28.41140149099147,23.62008189092937,19.878123704017693,20.155467054623557,15.531723465770304,11.875283334168307,12.189328511457756,9.286441502569152,12.17524297004017,11.736287356667845,12.024902701322237,15.741618717943524,16.243882328136998,14.666358768139089,17.44480477279352,20.042425451902844,20.813378694629936,24.936347859207494,26.39566131779817,31.2308667189868,33.769965855390566,32.06179843819974,29.98690735420329,26.036666437396434,26.801428046669436,23.99597049496523,24.373678343814944,20.687100045303385,20.118201833560573,16.49183361549451,20.069828108551977,20.287298853513445,17.311862520576927,21.676212216462726,22.610695665662757,22.449920711458176,18.509248868162388,19.975475562939735,17.380732832105906,20.80172420536758,22.615588592260973,23.86172684969495,26.832022296297254,25.048698429382302,30.19083315584984,27.4969758000842,29.607567881597916,26.21713790877472,26.486254514188257,29.18476861236789,30.260831875554214,26.723043315917447,27.096851936731746,24.660264836463465,27.530197865869667,25.64008738671888,28.077300030950564,29.216058579168784,28.3039882908809,28.550572385944587,27.892869755478543,29.73596336043615,31.664435627525013,28.456666919695955,31.47215850311493,31.443955922731167,30.52746689500078,35.18658370913336,34.43042035033223,30.59262156272289,32.91547764129857,36.567016126617844,33.52613523373185,30.948578527889435,35.827920260062655,38.27929571705284,33.7873703127975,35.4062618247791,39.0273688812831,36.88953792383983,34.756120208380565,38.860987046399394,37.36648519005809,42.576655344715384,40.57441734291792,40.144173736310904,43.84912936114597,46.78995305481103,50.43099952584044,51.11539545247867,51.63510157627612,48.39485220495011,49.201159766861636,45.47360267525353,48.44678670926399,48.71105123286792,42.39670651995275,43.37365626829715,46.566764456282705,43.26516182891945,39.85474921334934,41.024765006972046,42.206874066893576,39.038251865454704,35.010523999202896,35.08955290086673,35.236848698678656,38.982345657112006,40.39597064010607,41.477686500256596,45.25128890474379,41.32852666789368,38.47159107230013,42.73067097387641,42.35647163864883,37.43152277535119,38.52195186640603,41.63983666383344,40.07231750825135,38.108796237446,42.97920383243734,44.0764265513535,40.67992801159633,42.419841034163184,46.047230260720454,44.40064644906192,45.7348678161664,43.143384917723225,46.34309214976978,46.68711572968491,41.00744427939504,42.486640020102534,44.93774193155462,42.63901207956324,39.13006603246481,44.33555980638223,44.79861807173585,39.31360408392908,39.1120396374182,44.33396697947503,43.39719958386821,39.48364677945951,35.967278787227315,39.55976884636545,36.698148607729124,39.24796190606199,34.339520852341906,33.80409360462337,30.95820320015763,30.000074654478638,29.41954433405988,30.909711176514485,29.5113562534611,31.50205564812868,26.77442972272539,27.616304263402352,23.52361081719903,26.811051242462398,29.4360562087581,32.654407034369335,30.678954021619287,27.01976884609755,30.971908689463362,31.7720641332697,26.30420320010824,28.334895139231502,32.48340217449435,31.696058864502383,30.985957040792236,30.073618243818572,31.87608200632914],[34.841036968644666,32.37210885723931,30.23540236597637,25.380014548440602,23.517451855788583,24.43737577472477,21.441447565426497,24.003735650684384,22.037948720747654,17.99837451340111,19.44652516519042,23.262596468998858,18.64210326078327,15.794540840375648,18.622089969445334,19.422150739695265,14.915016972258986,15.748509320989154,13.546138318903731,16.853704845516983,18.002421622846274,21.426026013569757,20.75689824304586,19.09628234040684,17.5376346537255,13.820066653590583,14.260155696412411,12.870610284840355,16.231307921929684,19.585278610996973,21.671339598639246,24.320792886799662,27.86151208459207,28.613096908682643,26.000208135333597,22.12561250045439,23.677827601928342,20.143357105210853,19.2651689700974,24.686355821682326,19.75934295013654,19.595762020378725,23.888575283342387,23.956568177820376,24.155449550750035,25.192083067819095,27.907851273869525,28.059741130571318,27.609757669381693,31.817047087662626,33.06636843413324,34.87289985648765,34.955164538524976,29.828327725386213,32.81330466025618,35.0988765505653,31.288530932144386,29.86986855950206,33.83014614996682,34.060439488966296,29.103143150241667,30.433428108243334,29.3840765612649,29.0096023751942,26.389936532693664,24.225505816380355,20.57612751086138,19.65859554899017,16.10828393692542,16.941192707075388,15.310835726408632,17.805630591548326,20.105497143002616,20.852955808649202,22.350348496632563,27.863194460477413,26.28714560835328,30.52486029384488,29.291505651720882,29.606573681342226,29.668182922678415,28.8117085594661,29.779689912727463,29.55987180585227,25.46567248629829,24.57867461134599,24.101159309166793,27.25153796833295,24.439944312357028,29.268558038900046,26.253468257942504,29.06629953276117,27.341881466143008,27.537634838142104,24.028486539063014,25.694783109637882,22.641915829830186,26.003918312284842,25.996044835977035,30.891329271473722,28.15672549956319,30.32353016656507,28.06985885595816,29.29510616749169,30.52487027094003,28.400747552670772,32.637179665122716,31.839309738868543,30.300861353390765,29.816408186211124,26.72881688370169,22.707393231442605,20.59047812410047,17.005933596149035,14.31828296134696,11.243158326392791,10.259799879648781,7.169928969687028,8.71698022233941,10.784835462321425,8.488635568050649,10.286447874093005,8.456006887791165,11.68886099339667,15.469873724447952,16.623071787562097,22.620544453229186,21.704977426003598,24.85649026772949,26.444486137766418,27.480720301835184,31.31214428787161,29.17373563759721,29.40511450358432,24.93075098924471,21.16364044658304,22.19845945131181,17.26756113517781,13.585835109195779,12.973193554599803,9.716275126916143,11.503925711657216,10.419107925941635,11.453580523946643,14.766029789461982,15.298331446642415,14.280012397722748,17.2100501475678,20.236090539354503,21.177648388927356,25.535220888596058,26.822439842131786,31.592807695552963,34.1126304797772,32.01199620211224,29.874975456145165,25.844191912175493,26.90511726777304,23.652643667153335,24.61868312025445,20.965274150378537,19.57509790724245,16.460787999809494,19.588650377363106,20.437318191432784,18.127817530517124,22.696115602952823,23.876205511778824,24.194567011905566,20.242271260464847,21.50011521061778,18.495716030766673,21.29694899136662,22.78938810195842,23.631947213917275,26.5768066873769,24.40101818249349,29.505326928695148,26.865222140477023,29.288950690057273,26.17424486921836,26.893388938793986,29.71816110655171,30.822990345833414,27.239414064366816,26.94895015030402,24.04825364672627,26.920485729916617,25.275042762852113,28.14242125292242,29.663183408710047,28.84947431310169,29.61264643785421,29.224642243015342,31.24416747543004,33.46708372836365,30.457131567786956,33.465577023612596,33.67126827291498,32.49132230258928,37.288065687277786,36.307188245160575,32.55255855345035,35.21320136120959,38.738845229022964,35.598031761150544,33.379159670844146,38.242443202997755,40.417801851786415,36.02725319617353,37.84008829931513,41.37855222286382,39.04894171769606,37.11521660343827,41.36314677169704,39.98741599010681,45.11016581887019,43.37749507915929,42.787296148695305,46.415362760168335,49.38048115211745,52.91226374734615,53.65685174203651,53.99279375263555,50.66793638047335,51.31084416609237,47.42816918890487,50.4380584907607,50.92826364568233,44.634049242293344,45.4159460518939,48.76393887346043,45.63357921163493,42.105153434749155,43.17749037757926,44.636869679638764,41.55672582889873,37.26663421407753,37.40833412901176,37.11236230306738,40.843332701830576,42.29293083717897,43.083784043593276,46.81207893067242,42.68901261202824,40.10900409347258,44.43763276939011,43.799071326799655,38.92425520850835,40.32292146092965,43.310068078311325,41.66698581193575,39.96452561135981,44.89072732342931,45.866731053832126,42.51595597092182,44.500134446829286,48.12630275053312,46.59733989231154,47.84383092431621,45.16528239129755,48.452529079554694,48.97683425782814,43.32161440921553,44.73914272625857,47.37463238102619,45.15556519959725,41.60659390984015,46.83551072162092,47.48856670298697,42.03049147974815,41.7401962030333,47.04764047887182,46.247807866361725,42.371811463778556,38.86933921904567,42.59005322418661,39.750141273301686,42.204186864374975,37.2432602052516,36.53742397612966,33.54180995070357,32.808316562854344,32.26589233118765,33.87219174606487,32.37525835529158,34.159300387531346,29.224641384925306,29.81125917424788,25.56499016397285,28.865487600751575,31.08178382491052,34.286575388764774,31.96810296794056,28.648942007507543,32.78283805410452,33.24332370624531,27.69616363470055,30.126700483968516,34.02801229886064,32.9084937627261,31.9143612872297,30.708052660833246,32.32303299120232],[35.51074087561026,33.15490555775609,31.088635365789692,26.317444279281958,24.445121076742993,24.803896279346063,21.57948598419073,23.7278244491963,21.52734397406457,17.309600422080738,18.29528789150202,22.015782201544972,17.512950867462717,14.589968291534923,16.83594676727362,17.74010333702701,13.495044232488146,13.8457682433556,11.574881695691092,15.238395828795328,16.375357676929763,20.09596950062233,19.488056855576684,18.271980652239098,16.729106068967315,12.768819553016645,13.42957859790512,11.957049066777758,14.827173741047531,18.170852631280727,19.578477576808936,22.61805105513407,25.893653023306214,26.511656637026334,24.15594141611281,20.355821960841,22.262406879539157,18.959818653771677,18.5157579506925,24.12429168099711,19.467592428243577,18.641034674221434,22.945318158387508,23.4596318908572,23.857384098863527,25.2898611042843,27.809727785059923,27.668427842214914,27.619618628144853,31.802079380992136,32.647119651575295,34.445742917022706,34.26915350475858,29.119283725325804,31.91586275064419,34.13629580303337,30.281675560785065,28.646234019964222,32.55815787564782,32.92498766920972,27.772913749153997,28.721722279767267,27.471147377266433,27.084204639150766,24.765504452047416,22.525172207886477,18.531953081446673,17.46712290695241,13.692730122149301,14.48748729031901,12.768793768479604,15.256315358684056,17.520728507443042,18.379505118752817,19.925975488687115,25.46082186114397,24.175693226254904,28.355953902780193,27.375742105328364,27.96906819150393,28.20925110666459,27.73752749569534,28.78050010839497,28.920249229869114,24.984459449341934,23.66389059408882,22.861031549519225,25.789884889234195,22.68095548452319,27.23603015619242,24.036291375257324,26.64460192327762,24.925094478390637,25.237865436329802,21.888274036482212,23.460620648389522,20.63164891755322,24.14230279217283,24.425738377789102,29.482658620763576,26.712401996416787,29.311071443131908,27.014131318797208,28.687197277751643,30.204070945411008,28.34171785149403,32.72601034147303,32.25145550925699,30.829227813389835,30.005233484860824,27.029075492408978,22.859331947431027,20.566608009111537,17.202704389347133,14.003935093999539,11.389152938662951,9.897613185055098,7.5465484555288365,7.741903615704525,9.233277625324433,7.389283987126796,9.512523557913328,8.812352269576227,11.971837377048018,15.691627195548593,17.275554775436145,23.205813034187972,22.324963414051226,25.54787701680797,26.929913809089737,28.444969521816706,32.150873735503076,30.103187238067996,29.91897332843062,25.793444052844325,21.942412991873194,23.480416545778176,18.48608158444945,14.94349107559211,13.922097410079672,11.252252346923106,12.582780804080747,10.712457067177802,11.794445066667233,14.64871860866719,14.762648930444811,14.05902233712673,16.687509510468047,19.87294541757426,20.71171472980104,25.151722059625726,26.162446083630904,30.84176289118077,33.24562206344709,30.87469122135682,28.797381546620333,24.801614816412396,26.158271727658953,22.72129743991346,24.23342852046336,20.90822421321037,19.08643036455804,16.680339111699972,19.528769935153527,21.021630483214143,19.348359479784325,23.850315794562377,25.381056723981356,25.796257535131527,21.815960326929126,22.777310712736092,19.495397200109622,21.813535132800315,22.917464760640563,23.35686362674221,26.075881370985144,23.535052178262458,28.639153237292632,26.277718089492915,28.867273756859735,26.19189966856431,26.94154827949373,30.045731917052645,31.318298199803845,27.781569008697012,27.208806366789595,24.08043086790789,27.092544614651583,25.906354458617155,28.89612828819154,30.65581867982205,29.71978272725322,30.736174559630072,30.375522645242246,32.39599574631941,34.745036489192586,31.760327340800096,34.63317784994356,34.88574373282465,33.40011775092966,38.236390809228894,36.981705419864454,33.31128098646006,36.25318784758391,39.59737116979898,36.31559378884388,34.45996980343347,39.27275128684364,41.12324529539511,36.82120754758427,38.81979147374839,42.239305498166196,39.707642530963724,37.99393815097781,42.368346930888755,41.151826320530105,46.14233581249129,44.785971817825896,44.022213763960465,47.536777445447626,50.58523434104754,53.978340978893705,54.8186661081917,54.97533499519043,51.642915985729466,52.184690794491,48.19561547127621,51.31926534809105,51.97744058001976,45.69999079772878,46.38734302958549,49.93344763292245,46.93137431978772,43.32827790277,44.422245663986835,46.13312569962694,43.06639632550369,38.667797997271684,38.66971279632447,38.040201634864054,41.70709329862221,43.049489880581795,43.58966615075071,47.19453891869243,42.92032379968573,40.587322643193914,44.862622728925764,43.96641542153162,39.164468072738,40.78640346505149,43.58485731926007,41.846196273553886,40.38422693642606,45.3455059742387,46.16430531215961,42.84332261049231,45.07020736531395,48.68993021881385,47.31364782150234,48.51663136715206,45.82093186136403,49.222646597612574,49.85320634654194,44.24407401875036,45.69043186547351,48.48365823675846,46.315821202028104,42.81471055189152,48.107308083560895,48.9031307907,43.48047904678974,43.20783652843853,48.6033438643659,47.89996881331613,44.053489606137504,40.52191936507185,44.42244587399357,41.59341165229456,43.845213070660606,38.81768291051361,37.90468626994522,34.72575881734698,34.28402739109511,33.81846232087734,35.610118013359646,34.05058809056619,35.58551338432754,30.458608726260792,30.89123352301723,26.479879335210327,29.63343557345882,31.48370365221984,34.59308846843296,31.98657670822773,28.995307165207606,33.200285946619516,33.325494459542185,27.784866302824838,30.522250947590564,34.14080374307333,32.743707550099714,31.520866119606826,30.11151241363169,31.541073701779343],[37.01455673716029,34.7725407274888,32.82711506797585,28.083455537990694,26.324013350977285,26.28589268252249,22.962453879984363,24.78941362917254,22.358992868219957,18.037547805295205,18.551369363742946,22.17322164274171,17.860855124338542,14.846055639732974,16.435956084904777,17.468552837709453,13.594981211520276,13.286441024264855,10.885844096269363,14.768841718235025,15.622811747019826,19.49160182096625,18.764155861185976,17.826590153601675,16.56013663186203,12.677723087186273,13.736836375739976,12.46631500069031,14.822725489400398,18.15939386241186,18.720434489229863,22.258770865953096,25.20125990151486,25.582596993885872,23.53908758055628,19.811698463888415,22.145510189427615,18.9703505274208,18.89902410937742,24.48573008911688,20.007339617277403,18.564340878413503,22.760358034129627,23.60564233426794,23.976162781766362,25.65008057993802,27.9866731142244,27.733947338954103,28.080524591729624,32.17923408388546,32.739652971134255,34.61559657838795,34.21249746817532,29.146761108202078,31.768169567557667,33.84575747869868,29.94200255740624,28.201289109710842,32.036348269585915,32.41297873954608,27.11212163219483,27.716224716915022,26.38523930013204,25.800505492836155,23.780257781736214,21.672745191079674,17.315322564671877,16.285753980819553,12.221722277009842,13.054510140953262,11.142112646901014,13.488693813336756,15.790715145148445,16.67662309437071,18.451559694873385,23.898344615361257,22.98323310534638,27.138462867594697,26.44770299049779,27.26810070146877,27.812054105556708,27.679414329847667,28.91689551688989,29.34667284336614,25.54146133331189,23.914636151082355,22.709686639127447,25.500689942291636,22.01684334485296,26.298577183089446,22.881845240770357,25.184345125870777,23.5536399993095,24.090244750633673,20.98996654162313,22.421153861218997,19.89787191858942,23.609646193339696,24.23638888795217,29.453115361334323,26.652321463249955,29.690208969968396,27.324464757953994,29.42370522161832,31.111302384960656,29.538057001698288,34.000267688887284,33.753053957708445,32.44869988543455,31.404050396221127,28.539242033704564,24.299025758469675,21.898437765222123,18.75203836969521,15.182198519212058,12.981481839530156,11.060299908921351,9.109722017441598,8.318580720560705,9.378711133663044,8.123078851421177,10.33520514563474,10.414098359747245,13.589174125605766,17.215257608293747,19.133620448957856,24.93130899449607,24.096126352976025,27.32126910826349,28.520466041269927,30.317804646363427,33.90140351054892,31.859567150952962,31.429408138274894,27.55600709467292,23.745516685755867,25.555020381015456,20.590099561853048,17.178119200540984,15.90638918085967,13.298241314218979,14.015943317522545,11.921404062423733,13.26879476846323,15.644902766070091,15.585075866748697,15.242070305852502,17.616586014407275,20.91793526722037,21.671622622025698,26.142071254696635,26.887383298210136,31.471166159224584,33.716984623227496,31.106792091333247,29.119345517240816,25.183911188442256,26.816583398476073,23.211076349263653,25.20444143725215,22.142961955608925,19.91232765113386,18.065073039518314,20.545979894255797,22.423913359386457,21.11887586770456,25.586457739804572,27.18687376564937,27.777405405114212,23.865482340176083,24.727755445813415,21.360317342769854,23.306851057481946,24.15196453167833,24.28158292305096,26.829036774683235,24.01033187687801,29.015950163205254,26.860334433061702,29.594321425548916,27.238789843294395,28.140133542416763,31.33912578446866,32.65080249284273,29.158765360161116,28.26174569756394,24.93286795159879,27.949323441158548,26.9450883832772,30.11792739489596,32.04642340374861,31.161894012948515,32.39438508574292,32.139615269822855,34.20196223039603,36.64782531596462,33.741322803660566,36.55798547900176,36.86450317245966,35.237395348648825,40.07466858578581,38.67252305626508,35.07369014948777,38.153897270068725,41.383325748807195,38.02526406546543,36.36707086181533,41.13532373811437,42.79263172357582,38.52972041758358,40.61337156972263,43.95417397852843,41.291381495391754,39.67911922492313,44.116642168026566,43.00832439650059,47.928844796847315,46.777794221025175,45.958294249811736,49.4074307700977,52.5010444657978,55.85692529317093,56.710186598821046,56.77241042929174,53.45453524490904,53.936914315256075,49.892931516555365,53.06198613545825,53.82127996735985,47.56985235395271,48.18877626525881,51.82614652588978,48.90106140637952,45.264610862443476,46.33132346374633,48.17283907560986,45.144229110300714,40.680728358847404,40.65615003299519,39.83766933798986,43.45601586012663,44.75333921447199,45.13227799776281,48.650417235904044,44.28778758736109,42.13450341688777,46.362369703680415,45.291086400238,40.562445509160995,42.32415310635001,44.977837024076855,43.16973015444914,41.871249924059065,46.843480980165495,47.541855613429725,44.227944783178316,46.61633140084139,50.23098199181013,48.96354746117897,50.15337099029609,47.46407763370342,50.925324687868724,51.60768115651348,46.040201785279024,47.5080212886263,50.37457200622127,48.233506349399285,44.7728792505427,50.0785424298106,50.93468482260486,45.53980934384782,45.27918200269274,50.69447974361974,50.02618777668338,46.19191838428139,42.65094320285466,46.58496869794963,43.75196149754929,45.9258960813875,40.86984812418851,39.90304131422025,36.625281901390125,36.29440082748642,35.90288536196743,37.76579919631392,36.21942323980508,37.6644417800312,32.48171559494897,32.84340766126712,28.37938763918414,31.40733055397815,33.0246960976517,36.04267095039527,33.2447681099841,30.499605767930557,34.69874805905986,34.57696473468558,29.080570475823933,31.962429146859613,35.34390350772652,33.75931984532477,32.34118686657885,30.78579894316591,31.95490704838226],[38.38999676091766,36.28601969499349,34.58304867371525,29.705609395523542,28.30325355657447,28.030678625993215,24.81734856273156,26.626807080479416,23.906857973712867,19.662134764973054,19.90772700582686,23.602107394056876,19.65192491301528,16.324370686511966,17.758257459162955,19.06930420386918,15.554395946587192,14.983124269708217,12.29784906538896,16.25533692047988,16.554589164691333,20.42660858779257,19.297028539769443,18.355901217425625,17.658343934014464,13.97118774555502,15.596389491764704,14.627096116527337,16.807798178097226,20.078602674752524,19.991230968350305,23.8579067411527,26.47759196907189,26.702018582255533,24.986671649099424,21.366993713563197,23.981634095257345,20.844235589420805,20.920071797420615,26.359962139907456,21.85785759508505,20.085010563249433,24.124161936126452,25.152597982817703,25.27415047746224,26.991462980032665,29.14539082559371,29.03745528247124,29.64112053391585,33.62216160592395,34.151776252970805,36.16139562358674,35.70711216002691,30.666532969776394,33.33038594098463,35.19011002931269,31.162063112347195,29.500148480763702,33.22706498498415,33.42464143183165,28.027500510156287,28.38759263201412,27.121108946822673,26.104907910989322,24.37139524870283,22.61435976455138,17.896626178976042,17.236153772167796,12.948372864592692,13.898827820542742,11.546226629360087,12.93577981725333,15.739643115216445,16.62986732620901,18.97981200876692,24.131785101657414,23.743116772606733,27.87250115581355,27.495035787279956,28.4551732003953,29.32633462235114,29.384313989031615,30.813799841392992,31.35133694606918,27.618012358155624,25.899469901344236,24.40430184242994,27.164644198129217,23.37897724633432,27.40315632720678,23.803893226201026,25.646368699295007,24.153828417300648,24.905553051561323,22.036117231945845,23.123246560930912,20.79215019065292,24.861047468361157,25.672844768444865,30.94391579393643,28.3354134544551,31.599336210695387,29.321355975010327,31.585366511617977,33.387898628278954,31.877028091058254,36.34462420705053,36.15383061707764,34.80914364433173,33.71685611250207,30.787277579448055,26.61891717758597,24.05559402900302,21.074121883604576,17.37175937808787,15.326400489187272,13.39202059851706,11.565507371288202,10.07472837570791,11.409727329588469,10.034649142038898,12.184257937925873,12.401533371960376,15.622633407820144,19.170841510824925,21.3886405109734,27.04531006137492,26.4346435640642,29.68968194567018,30.949820220970096,32.730017911203255,36.32789096921282,34.29390721189033,33.86979997054299,30.010307365495848,26.2108855876076,27.931911795756804,23.014663047262264,19.581987569060555,18.41138155302277,15.637902271015951,16.027866465844134,14.122316042223442,15.711337866959466,17.910398997694966,17.902905920821343,17.66803983895378,19.909908467519447,23.194428857856366,23.745032747410278,28.214422231539157,28.688353291586253,33.295855540455044,35.26843063900705,32.61111853158846,30.831942589276597,26.985788053544212,28.830863600894965,25.249830422281022,27.46362304514294,24.552678276559618,22.222411249015348,20.516837642843804,22.84803590381908,24.73043513823949,23.426026536777872,27.91383969072992,29.379286604472885,30.05407938725928,26.184574688450958,27.129048108074596,23.819870814659758,25.734534895203762,26.552431459888012,26.602697543835312,29.081389939007146,26.145810482935016,31.08715429596631,29.02228911139983,31.814819864202345,29.55427443413107,30.531925860886005,33.71921927260107,34.99463276709659,31.50963221354514,30.447416883035466,27.016327926090227,29.88670642145902,28.86637762713958,32.19567894565612,34.13866363405052,33.385978458016545,34.68772654542315,34.50061198742262,36.5888157114392,39.025153823505406,36.106976244348274,38.936281088472164,39.18443773946031,37.57117976331502,42.36300847096192,40.92877402809543,37.31142967586477,40.33606190084916,43.54469486056328,40.10679371824997,38.3807587016963,43.162247231104175,44.790193244581104,40.39691100736931,42.44679090334452,45.775227211911314,43.024077531978755,41.324613110612354,45.77914050109802,44.75335068233708,49.700157811427395,48.62333027083474,47.904198538817184,51.351830603201144,54.53772542543609,57.85385684072331,58.81715912911981,58.93633310758845,55.66638489773708,56.20243766175316,52.18703464155692,55.391856703729275,56.11030713465382,49.85263821634404,50.53250437274737,54.15153520046732,51.18189365000328,47.58515254860682,48.686826465562206,50.45564822506509,47.39474107914597,43.00737217178967,42.95074880880901,42.214343310410804,45.823934898356754,47.06801789991836,47.45242668386776,50.915979432714664,46.55200738316347,44.41862303061056,48.554636109178375,47.44222915279563,42.72444315878505,44.44677502210363,47.0074047177986,45.12504883786694,43.82858109158613,48.8244286855726,49.42553531351413,46.015277820024856,48.47129608282207,52.12436321640329,50.92551905399312,52.213041959830065,49.60180052279675,53.10500493027766,53.69495324217542,48.121489229612926,49.70141330137672,52.51935972728248,50.31802206800886,46.93754760810632,52.27843587869398,53.03245099264698,47.61205577433537,47.45687649095447,52.84443039810175,52.07615580501075,48.21503281417114,44.601818396628225,48.46859081306755,45.52402158758614,47.70942005093226,42.61612091307059,41.77278413791648,38.41386169978408,37.99284108018337,37.74164289024158,39.63516175089805,38.22396633729204,39.75884287057826,34.61916456537101,35.11339394599894,30.614056704131904,33.491283065861005,35.16567666275392,38.094025200386454,35.259285514228836,32.513840530009944,36.58097608383109,36.35429805213219,30.892170515586972,33.62641253041029,36.86955402779325,35.28159691201456,33.79319889829772,32.26897476636492,33.247284772573906]],"stdvs":[[4.5107205539243935,4.580628099747898,4.8382525848956,3.6477275298703895,3.469048714817782,2.7604836723382418,1.6091726605890515,1.5135128234935582,1.0357315568797691,0.923216353983353,1.085511867461224,0.8363373946774625,1.480775889939524,1.7212410173352006,2.0179392346898695,2.132352344675572,2.7284623906667904,3.367395703618668,4.200700002500092,4.207563938916115,4.6700826136867954,5.018547920125032,5.126690677714234,5.371272734666703,5.07411591540915,4.901492387115137,4.589039768876193,3.9285501557662315,3.31739845676163,2.538926510991615,2.7236193377872078,2.0497508058575034,2.0254072961102203,2.604148040496761,2.702210682401276,3.193131027052988,2.6232072535941913,3.6523508438752503,3.91117322807601,4.007036293356579,4.6860284884093,4.6835863916049085,4.731476939087864,4.848528710421152,5.334600426262804,5.670800830206149,6.167235683838116,4.928160580586959,5.203994625755219,5.536877741706358,5.719697083292233,5.819994034043159,6.391991671334301,6.638783492576154,4.42838523965016,4.953784546890516,6.038434616879671,4.256958476026077,3.4954030950337036,5.4701919804809345,4.993282940842121,4.612607470289181,4.174919640160288,4.597026946854594,4.790181865092769,4.447314027215545,4.444161797247765,3.9093941743230234,3.991563411191817,3.4083466652078918,3.5015575489268866,3.5687347465041115,3.46804521820309,4.081474758703515,3.6020514204915197,3.9126716701858397,3.928511415639945,3.5849899291504816,3.644496576305585,3.866889549491264,3.347778675966406,3.5645880216813817,2.7959684647994623,2.942341899071353,3.4321255586706854,3.1702816347335627,3.7290085447409784,3.010633151989275,3.598375298127523,3.1299602741229995,3.2661709686732032,3.378316342768443,2.9417752232414958,2.4692482920654277,2.232961766891836,2.036761910324461,1.8347233582229563,1.5679883030225945,1.1220617515685858,0.8498297599499405,1.173866013535668,0.7901295076768668,1.2243116545879793,0.7162706341103572,0.8930608202657149,0.8690003951985512,1.4200721730105033,1.659520093845449,2.5387099212657316,1.9983794922917593,2.270862925026979,0.8238966692786968,0.8111715786075249,1.0043539131211996,1.8256377738585763,2.60310737704319,3.3638532838786217,4.690796669673439,4.470615017667895,3.6747538396741373,3.4114998448095375,2.6595867751362854,2.65480903565703,1.8143806726169602,0.7999956917053314,0.7487036403227686,2.418890094804179,1.2972073088714515,1.9092198949878365,0.870169715653667,1.863302998132091,1.7296960994949568,0.5693929755511036,0.5188616372669915,0.8531141021010816,1.1609780689055427,0.7681611878477784,1.9455822160655365,3.081177797508874,3.9164250836232672,5.116085689096126,5.582174984080448,4.927145105140351,4.430066883787568,4.391560383982246,3.4947766992312066,3.0893981019986962,2.0074186288928138,1.1471512153456078,0.7367511569202562,1.1198201713768283,1.2754249499946169,1.5025458953301427,1.703556128155033,1.2867587262510753,0.9125206755239096,0.7739393319119346,0.7637472553430819,1.1193320704808452,0.7699793926311479,1.6126559386225077,2.7635923019366815,3.580939032098738,3.75580370349254,4.108536060383078,4.932537599648942,3.704143489415201,4.1698496969599175,2.9879742735897095,3.7922955326464445,2.659448947116082,3.250895425407574,2.889710999799214,2.4540906318419733,2.353355808454627,1.6426473131631807,1.9670129787891497,1.8477123553338217,2.550375103707863,1.946235098395611,2.4965500747624,1.1293769611725661,1.4094940332420909,1.8123397664393033,2.3934463076508887,3.5337418040690767,4.031854606362282,4.79008688146213,4.744308831747337,4.220279748806221,4.324825457359491,4.027391056628471,2.9920742242598832,1.950661488667303,0.933864886663977,1.2881401570260271,1.948540383415251,2.877892703990777,4.244550065492361,3.911616952391643,4.650146719594498,4.375211151559934,4.408579927952014,5.418078432989302,5.301173471474335,5.1239432986036215,5.7801063332260405,5.853729543940703,5.463137006952069,5.467072776160427,5.830949105839124,5.818194637639151,5.370957082458719,5.467337529750585,5.768489695715476,5.8878125303781665,6.044405607335853,6.166415785324142,6.154529258852424,6.1306670246692105,5.9830068705497625,6.103990378280371,5.862389757977552,5.320372481645938,5.313386792573679,4.94007282178019,4.626081067839352,4.38969105169728,4.808624256927123,4.913990907453112,4.227997251251258,4.216715073713045,4.550545524933566,4.266612798751534,3.626820479686241,4.060349109573864,4.647851492027374,3.440448689928546,4.599625140580951,3.392846366141225,3.706226238651298,4.322955348657058,3.8283926221753726,3.9768859778742067,3.4774440983765413,3.9593882241437903,4.44047552502118,3.974878680088612,3.9065987948009266,4.670681581301371,4.610583122961854,4.49963686588306,4.917170382261193,5.137009887153663,5.000078100143336,4.985089395924582,5.455651842984202,5.530092984625975,5.6996346767430754,5.456770749931373,5.167371189707551,5.224491213764921,5.690680975461019,5.742451906025331,5.383831764666055,5.697165369279977,5.929270101149671,5.684378149411673,5.43652363154927,5.823515103993956,5.951304047704524,5.412515930487619,5.329217701966716,5.723326122787222,5.909565821543057,6.15435497665327,5.987872191090591,5.922818659818449,6.010153194699768,5.913751016223458,6.107447188027417,5.7134893703420495,5.552923093150253,5.862557652759552,5.821826222726783,6.017381281278314,6.12497664316841,5.643759198495982,4.570892034969947,3.624342982354635,4.4589593345229845,3.7342041143789055,4.09372242640853,3.1708916908084896,3.47901931568551,4.435038219185736,3.7572506097075116,2.9107620442856232,3.953665069628204,3.8939240766087084,3.2786538958472926,2.9109186654830403,2.560625430508309,3.126493897174899],[3.271988155610065,3.3264277497106276,3.470612986128407,2.796416111946682,2.5786113832830724,1.9862002409764894,1.1222296115067296,1.0113942122450392,0.7747012066789842,0.7168504766066307,0.813709579671587,0.7272651327149381,1.1319895574167684,1.2192346649035743,1.4070335715154088,1.5193539760611832,1.9223540642936237,2.311195543033349,2.826106002005552,2.850602659796395,3.134546502068427,3.422764693218459,3.426842586759371,3.5968022338485888,3.364621321575144,3.2679543535012083,3.1146990237401564,2.7000415939320046,2.301692805441992,1.8239842984393928,1.888271715697731,1.4987455048341227,1.4691186413813373,1.8321726756578505,1.9249095283007254,2.2376063800027834,1.8962389134567932,2.543610301461904,2.7184504723890526,2.800898585837846,3.1931937122930374,3.1782939678664692,3.2226830161650626,3.355362099110132,3.776200780444504,4.16924228528281,4.652124383419597,3.4816137907122275,3.9642743551980097,4.370135038729593,4.379691328790556,4.657447585757546,5.112710687383783,5.214802906360353,3.344880500047066,3.6737858341803182,4.613752186026153,2.986290231266707,2.363985580990703,4.104379440161971,3.524096383108432,3.1879229457418576,2.8530854518445485,3.0975587743950155,3.23855510092364,3.033143131902273,2.9914246419429027,2.6370411698771354,2.6740096517653122,2.3331642733421596,2.38181871642705,2.432376335889399,2.322197535989786,2.7618528358600463,2.438114868650417,2.6953820895399634,2.679801513598249,2.4655960819184704,2.532034418520799,2.6876224122886314,2.3813897896922707,2.5481133313574507,2.139976470611388,2.2244539159016132,2.5309687314910065,2.301954496474509,2.620136793187559,2.1671667759224134,2.5008578868733644,2.192516841564059,2.2463906476720457,2.3282763716497126,2.028058931811245,1.7163635449218917,1.5642964831472237,1.4269022490005279,1.3107783207701054,1.1563158426802767,0.8718259264407797,0.6677051355761777,0.9614057075191175,0.6322503992866135,1.030402239604869,0.6098614098251126,0.8242962503619259,0.6968220110465247,0.7992429574936672,0.8656307481788028,1.357285600444585,1.084145306878325,1.3306855445761467,0.540896571870579,0.5706037435056586,0.8677895789463581,1.396886536460318,1.9291536634774276,2.3857982852115205,3.391949660100263,3.010380088029338,2.51890557107886,2.3361358602750926,1.8471369361413328,1.8797491919202294,1.3479520768289273,0.6363860436381834,0.6347557310187175,1.6361836805941201,0.7555124937257331,1.019237788116473,0.4897997222110378,0.8611206975236894,0.7704685457305291,0.627128605279702,0.6875129484993333,1.018010309276539,1.2544225262762452,0.5630121474792462,1.9086738756268826,2.68494172000433,2.960796201308984,3.5372866823752593,3.7474659373611687,3.291700770631826,3.046273665417227,3.037756250006889,2.479692386054591,2.257241420997843,1.5319981292086653,0.9877232374105537,0.6429571274817975,0.6825596435483493,0.8600250192006992,0.939732147394936,1.1181843190364753,0.9513228637574471,0.6441730209500387,0.6389656830522489,0.5773565853167572,0.944421389845898,0.7504202789965498,1.3528082846617067,2.0635080137055333,2.62804824222119,2.7142651416413495,2.948409514588737,3.437212301024061,2.8221664642828053,3.1557115356319514,2.562285744088603,3.0897906167011073,2.2798149499253193,2.5678978096845353,2.2406895211210793,1.9534416633140774,1.8481865385665013,1.3689238245506923,1.5457076461518413,1.4930560306243899,1.9854624011368127,1.6065254876341941,1.9682750429138183,1.0986044868307572,1.3143353521680772,1.5973464915964843,1.9561526953481208,2.6449256712254763,2.866005228445572,3.5369005861098266,3.4952214139706705,3.2393222933714734,3.459201537791452,3.3530013433723886,2.6650405520602147,1.942067261053781,1.0925430900797142,0.8196659161931331,0.9452832766127433,1.5023594115820906,2.40626170992464,2.227525314123917,2.725889155706786,2.6028020019603377,2.6575180765549873,3.327350225427205,3.279359578391392,3.2659667398974843,3.8051946562543013,3.7759017497213194,3.529631371766611,3.6917190065727468,3.9570083736440065,3.911946369179378,3.6645986592594233,3.843493773993872,3.97909214989549,4.0190714120120505,4.087011419569089,4.140499336255175,4.043420483878681,4.015469957893494,3.8367837059321053,4.044380662661234,3.7408490262438368,3.270794470544418,3.266755684695683,2.998577553234471,2.7882138776654544,2.619579287519726,2.879891050663834,2.9567292077474576,2.477149807111238,2.470253296780839,2.664562749016217,2.454606118562247,2.1279647157926833,2.3779564488712204,2.777516672977653,1.9454969363484471,2.658880435931855,1.8626688134278402,2.107619033145697,2.552324310601864,2.2650556024347295,2.3580204485086624,2.066428069049845,2.341356598496336,2.689418258697426,2.4096509837660864,2.3783063367584574,2.8928531388118985,2.897343629401375,2.885740294415855,3.1766934277318626,3.281630500892012,3.240352718736263,3.3089200311496376,3.589601236489022,3.597384955537201,3.69504240968065,3.4497410399585355,3.2067071409782866,3.2151291299021008,3.5989016982914976,3.6466519916862103,3.307801616992252,3.562173599598126,3.7666195974817143,3.5190406920477537,3.3428153635536755,3.7042671694484515,3.7949050615620483,3.316886268949161,3.3114926655604244,3.7075006382758096,3.8674927320021304,4.100943051279449,4.142905112265732,4.212283094139588,4.136323899236489,4.149662445430905,4.15056577939163,4.016688443506376,4.059302958496956,4.171471340701937,4.069306663543868,3.996213642847636,3.8875351688672506,3.6052736968284504,2.711714233989849,2.3117147583041917,2.9355275246196237,2.33085064236389,2.59325761219631,2.037943472895616,2.2771819832154376,2.9717890390332466,2.5095169937393247,1.979841806065103,2.7821158430880346,2.6968094476975457,2.2650617188669444,2.095420763981748,1.9337529645548888,2.4884739147737105],[1.1166857826995804,1.1185539188512248,1.1419392061548248,0.9975478916524376,0.842834277954967,0.6932518433343754,0.5155651037122919,0.5057208578079196,0.5141091278654445,0.4641202207775586,0.4779838437193701,0.5285702280442058,0.5629541982888691,0.529412421609096,0.5543966502447946,0.5865464055182045,0.6784552354122084,0.7482708677468125,0.8608020250443681,0.8719673816430792,0.9709037643033649,1.1542834581392136,1.1849427065359297,1.2934675429379277,1.1572806773493085,0.9978183762173126,0.9462309930052655,0.7996701804805855,0.7259273095801517,0.6252031744366893,0.6550561120218125,0.5666342513844062,0.5709064141301455,0.6471126854128105,0.6570767371828634,0.7391279376037648,0.654915162352006,0.7685438986490736,0.8077939918602642,0.8905168569208396,1.0357171904059006,0.9822121775629321,1.00261691033631,1.2582743835191665,1.7735554235330226,2.301224553805446,2.7465931335685423,1.6209086836598423,2.4724937546557277,2.977328706375615,2.482924115919562,3.0080845728178365,3.1580633682000663,3.058877619275952,1.87998009847732,1.7564568443913746,2.5748614395895686,1.150631610011172,1.1365335869734852,2.305721488255855,1.4529728675431446,1.141368277015938,0.9322316331785615,1.0185891872385955,1.0735053684134106,0.9863409282434605,0.9413521052809405,0.8044375723435783,0.868598414323146,0.968043256867491,1.04733070216118,1.22586384922805,0.903294954876323,1.1311174525570775,0.8285506232155266,1.0992355691066138,0.8606826733391615,0.8037391020962377,0.835537058985712,0.9165066134980288,0.7923655653945453,0.8902031230059773,1.0965869583762466,0.917156224700379,0.9791863924004536,0.8142310444149526,0.8466572455535496,0.7783065587624596,0.8055732226929272,0.7501653719787593,0.7401300084313199,0.8843172952902311,0.7537016223358852,0.6141853367630634,0.580650905688826,0.6112687689450274,0.6271486643854444,0.5413772922104367,0.4942306617783248,0.5930206148764389,0.5329018204286182,0.5085419969495095,0.555467344216394,0.5283734593768756,0.7314602638035256,0.644351653669982,0.6508277181755108,0.6731299031237618,0.5027194034602952,0.5292894973220181,0.43213131281206546,0.44947942869661933,0.45941588260602956,0.49893101818314356,0.6133807069046201,0.6998269582304183,0.8368436242173816,1.3173475063864828,0.9445524008759572,0.8023766886053245,0.7983980984839552,0.6672460741664635,0.6848187686148401,0.5760312820393184,0.454785018760296,0.4252171874476335,0.5477455179965571,0.43804106212106586,0.4328974656513283,0.5710007124387925,0.5426865386520117,0.5737090031488392,0.7647953926478525,0.7006263192768549,0.7774300943747757,0.9019834089758026,0.8479521549365031,0.8951315562743282,0.9032954998032955,0.9580240430419499,1.0581631606893518,1.1977269387489464,0.834027329211753,0.8004987226362081,0.9124842058096921,0.7638860142433688,0.7536659761012086,0.602264597732221,0.5158011730962792,0.470576504229645,0.4665497232004176,0.49061739924578673,0.5837575052000009,0.9266625611716957,0.9181194956281621,0.5213148655632025,0.49800773029769274,0.45710530269514926,0.5082477458118265,0.4957614211034124,0.5622581357310266,0.7509179401353357,0.8752649525691147,0.9268457589073371,1.0020330489609266,1.1168027926921371,1.1935737720963857,1.4771215728977054,1.5257532721260676,1.4204621502976544,1.0711398929115707,0.9411336419553855,0.8686650476105287,0.8275205319845608,0.7539857750739338,0.6395579478667188,0.6748313086624784,0.6768304076671179,0.8461210578522143,0.7506963651696761,0.8319378796618039,0.6574637240692415,0.7544363403950837,0.8734384665527622,0.9292451183559455,1.105839068522425,1.0969037081040227,1.6793451869902605,2.1294731293852416,1.7959421225171341,2.1805661921435098,2.3298218535361253,1.943291647062383,1.548317876848342,1.0822748770246653,0.9126742626424734,0.6590063468960516,0.6570409835724068,0.7203184424657673,0.6598952989434668,0.7362123121843418,0.6730831411148699,0.6677838605554562,0.8591849892425363,0.8581519991109399,0.8669797550920507,1.066835294223094,1.0457919339878718,0.9701792869322702,1.1083266228664563,1.219216818592237,1.196396017380232,1.1461637773957547,1.2965523414660658,1.3023141399566982,1.3108915405809847,1.303547686304209,1.3392653063661206,1.2222586617302797,1.207954634485626,1.2349987839242866,1.757462172683691,1.3665767091593635,1.254064873447179,1.013500056703864,0.9111839745539051,0.8788420486833581,0.8909733946357558,0.9160534022795878,0.9349814302298652,0.8707590237198242,0.9920756540456134,0.8956351362949546,0.7910974394252718,1.020021716344746,0.9800744363427589,0.9700416391441447,0.9613730884029752,0.7912965254761476,0.6669365148088532,0.7375417538637097,0.7847525439719021,0.8183405473642855,0.7748397668994436,0.8164751511634573,0.7257805943273491,0.8009630567211945,0.6992364884362339,0.6998795937713097,0.7510442500476803,0.7771993416820708,0.8439490052356013,0.873854787000878,0.9000258649358658,0.908888721146591,1.0105871090068375,1.0493822442712428,1.0274259434516906,1.0670114057587745,0.952285680075135,0.868010627943919,0.9017123137197852,1.0127178870521603,1.0282385189642411,0.9461378957731605,1.0433011099177742,1.0995400560186797,1.0075131784515128,1.0249178693229335,1.1964930799712017,1.1532106604948305,1.0122915625103808,1.0979159513619268,1.3414406125107528,1.4062045537138983,1.3509440975051792,1.7354819175017984,1.8169419309207746,1.4437377447617983,1.436935770219393,1.302442896355745,1.298041458172464,1.495173164500677,1.393154609914637,1.3754541125226272,1.2397235216472888,1.1137639712168423,0.953931603958934,0.6871843805565767,0.5933288932187566,0.7844926633475032,0.6034030688748968,0.680461690476118,0.7582042888627499,0.6303272567056211,0.8687848282682282,0.7278108658407411,0.644069513704094,0.8792839388273296,0.8473107460930652,0.7766641294547293,0.9310123673311929,1.3143218153581624,1.6938203621544081],[0.47506935331883055,0.41310606169906033,0.4392718338063396,0.3503226950027137,0.3386140342086467,0.37113939004577323,0.414656260915646,0.4092999506524478,0.45000616294019646,0.4290181763807383,0.4363230692256661,0.5205687835709549,0.4529898602366152,0.4655500155757181,0.43129080276120624,0.42385243218030527,0.43975048431711605,0.45103146263432903,0.5027457158948705,0.482276418139778,0.5259493882914981,0.6777896411494772,0.7447635545526552,0.8538899328890798,0.8205910189715243,0.5544958724494206,0.48738933014152747,0.4334488834686003,0.4186730795746485,0.3563802481108759,0.4003442172129464,0.35844847162868126,0.42143533572929304,0.40803626888707983,0.3610985260055103,0.40443644027847875,0.35494099114846034,0.39315095776094405,0.35067698340682824,0.43783207418580533,0.7160176304516229,0.5307093504359738,0.5246266929408849,0.8398682242617365,1.4535255910296416,1.9990684515084054,2.2045116489900716,1.313401346674556,2.3010271537150437,2.7484868244355996,1.8972069036802577,2.4946502719314387,2.5713190423435766,2.5529141787690275,1.5700281931608429,1.1921000803416884,2.0125855720060546,0.834754684067035,1.360417576782776,1.7142472531274981,0.9007117705214175,0.6913025542922345,0.5240064061817951,0.5801165194747685,0.6535324253080256,0.5409932111879411,0.518531852002932,0.43316282891201263,0.5716894698059289,0.7575511723641798,0.8692338355287653,1.0295686614208968,0.7101043301738094,0.8689340196701474,0.5449035934544988,0.8230837285071249,0.46492468987806057,0.44435542711236187,0.43905467905812345,0.5180670116285778,0.40311730428841347,0.5179419323582676,0.9574540944426373,0.4921530824312189,0.49259129455094586,0.41336942528796083,0.4109700175596018,0.46819499011020005,0.40736838172767437,0.4344550157967529,0.4091496600931317,0.6052635349495471,0.5144439104908819,0.38236710844346344,0.3956188036876685,0.46431462311142924,0.5215933265978114,0.4239646130437759,0.3959562418594517,0.5024811640047121,0.41174530799114284,0.4191167388727061,0.36611124178307486,0.3981576059134275,0.6185620057697687,0.529165176798703,0.5232122807101593,0.5119326101378281,0.362249802614406,0.4495163929401422,0.32385088708319115,0.31383626502162243,0.36904141030839166,0.3585547462014954,0.466020645254039,0.5067172676989264,0.6441641950271265,0.9194491049466589,0.6128347418453799,0.5036819000866573,0.553713499806178,0.5096146633336117,0.49894010386761034,0.4836629754245961,0.40443387264270075,0.3138018421842493,0.4889425714314003,0.31680291519163417,0.28320633968973363,0.35918733416341464,0.3419965895968138,0.35122548227893896,0.37196509984366105,0.38180440027154744,0.3521678880822209,0.5059661986778966,0.5369527694827106,0.2765183749757692,0.3312469900366588,0.27381975843751777,0.4060650388711115,0.5045435804383895,0.33537480112562706,0.3083303345660598,0.4392573610985298,0.38615520688781935,0.42436782902886316,0.3724039611370922,0.31834731951054485,0.38544150962231566,0.37185347287574466,0.40811636703578114,0.5397914876611556,0.9075397308558191,0.7938701600534435,0.4325182747384179,0.39251173249597704,0.35146130177815904,0.3492926740485097,0.34176041730638257,0.26991612079199545,0.38572750406456685,0.37069571088813297,0.39204801924587007,0.3921457938374979,0.49904865222905254,0.4734195990106614,0.6452280668904508,0.7691436619070711,0.7092480458867748,0.4373987496484618,0.31381065542175307,0.36553546691257005,0.3966665150864276,0.3610506559529509,0.3534641676964366,0.40945645174199785,0.40435683342797546,0.4412206690515728,0.38677878459107135,0.42891399539719943,0.349125522761484,0.38725492071780226,0.43755914014863834,0.450779927431008,0.5993442088522427,0.7439948566337765,1.0967321407887898,1.9462077951633239,1.2651671913366889,1.3948043513860937,1.649568902474235,1.2636046603109516,0.9532892118387994,0.5531045582956956,0.5548608443966823,0.5369734476914972,0.46413885208057043,0.4932538195302181,0.4599056314249148,0.4256443809954804,0.3580973009735414,0.34210427926770387,0.4081773877494277,0.37876066152645566,0.3791539916382811,0.47425672116693873,0.4563743836956802,0.404321206581063,0.4658261178724573,0.5129566718998203,0.49283494900738195,0.50073086357467,0.6255718767693836,0.6397741057803511,0.7208884646992736,0.676138369514625,0.687376511133053,0.5723480836335594,0.5289538973159827,0.6392254628577023,1.6598741944422033,0.963637144276135,1.0791767755166919,0.6610935309978861,0.6260141477194339,0.656792420558518,0.7077500511008102,0.5829210243289168,0.6223986836330355,0.6965632117094599,0.7424138655781487,0.6305971572242682,0.5292672554695247,0.8811930142345661,0.698367928887751,0.6890743333093721,0.7927399622710204,0.5022414612120837,0.556464197265487,0.6094699578174623,0.5970191725048557,0.7045487182159658,0.6002307354761008,0.6908680911375159,0.546023583547738,0.5514099567990907,0.5149100294462916,0.46899427445701086,0.374930342274171,0.3923710592026757,0.5019866534302363,0.4000053971638393,0.40288957724317365,0.4170350218691237,0.5545764976887821,0.45196755023914115,0.41976278353911795,0.46572372810362606,0.43477513082805347,0.4444815988401097,0.4825817026894214,0.45870286036143865,0.4642937246474759,0.47859177391319724,0.5167543237938239,0.5381927854852938,0.5205040651352908,0.5699683560954801,0.6644520487442159,0.6282621632746226,0.5944770595662386,0.6884216246854692,0.841102387262445,0.8944572392091606,0.8223442543581604,1.2411525435490898,1.4413568248009734,0.8268769383137057,0.7653879325830321,0.6647011877572131,0.6301308974086793,0.8961231525415105,0.7434146350486303,0.7306119477235617,0.7664299910749637,0.5881777286721885,0.4936747064325988,0.403015813582138,0.2752497808061731,0.3151756546467761,0.30057754353010246,0.2989493981170238,0.6042477897618668,0.3345284524506044,0.3514454516978905,0.34701535083335794,0.39800772280324226,0.33730142028439214,0.3784230836397599,0.49070309086273944,0.7211228397024435,1.2771043266379194,1.5553918713248507],[0.5336370697619934,0.5220736537449714,0.5257287246860158,0.4463597754554271,0.3517806461633395,0.47227329372358795,0.4727431723268784,0.45546009701377455,0.5113225634016003,0.4153427636495034,0.42835703057462604,0.5035308732890104,0.41732834285889525,0.44072672258067663,0.45137074392211324,0.4200371750446521,0.4175996410535903,0.43187990786178065,0.5095498154474537,0.49195729193876003,0.5488648040704052,0.6645808513620657,0.8150084671421828,0.8856258690331305,0.9055368771610964,0.6265368747019827,0.5511236600311402,0.4727114804729017,0.406693548104543,0.3638029775407031,0.41342718647522453,0.4031165538459869,0.43859830561272606,0.4297435854951019,0.4033205869286734,0.4196881392636461,0.4111606535673977,0.4564212213798172,0.4426584199450923,0.5463022189529808,0.7736894115141316,0.6117737551177203,0.6058837892837903,0.7904564680288623,1.3796115035689582,1.8797068838083804,2.1693885975928655,1.234433975892915,2.2297110259273776,2.608560851482312,1.8361742843236084,2.435100206143234,2.4407823174985372,2.3820987333231822,1.5426801768314613,1.106883068822397,1.9255252624103427,0.8499121154918305,1.4297556531764533,1.6861334715787082,0.9401404410420348,0.6952111632516857,0.5237080814887083,0.5975523635726149,0.6439878164748501,0.5728275052748407,0.5574986371428252,0.45740490444695586,0.5804005161762114,0.7274945958475578,0.8721427160782154,1.081983191541726,0.7812470475708049,0.8386933619425697,0.5739557840457578,0.9095926367361775,0.4853992926432555,0.4574619714594144,0.4690441819965673,0.5434912704905094,0.4417155145106102,0.5643925387963197,1.0529787631079868,0.5362909656107375,0.5808764551625183,0.46533022006346975,0.46139521913615944,0.5527822536691894,0.42886712426019147,0.4757427435143423,0.4441822135265496,0.6266489870429681,0.5280049026774678,0.4205819593483781,0.41900749426596595,0.4953377166461303,0.5224941446611565,0.41435326231318187,0.4042921246409827,0.5582522158746477,0.44542449076466617,0.48330987555762445,0.39680929275490834,0.4601528987759245,0.6517285115860681,0.5610823517791018,0.5853047768368601,0.5664764330634783,0.46988051061257613,0.5142649878587181,0.4130055749057485,0.3887856181120707,0.3870776287135387,0.3625369762188183,0.3953227057206282,0.4353746078629143,0.6127448714827765,0.7257652026270288,0.5707755820704757,0.4755311571310528,0.5160107265862669,0.4466378490972717,0.4468816216696547,0.3579558465715345,0.3650428583433821,0.36746455992080523,0.3432363926306913,0.4165764428043082,0.4159153962228919,0.4562052936801004,0.4544915684801982,0.4665987476697717,0.5357578526874666,0.4954170581398063,0.5099229930014638,0.6001545268241254,0.7239770228082401,0.4671181052494666,0.40716053193051827,0.41603105514077,0.609090008342231,0.6828139978279729,0.5488606315022251,0.4958330771429833,0.4988679414656955,0.406665238113762,0.4080897426517583,0.3842364662140587,0.3402936820824722,0.41212525112178805,0.4500798302731789,0.479365865782075,0.5643166618474186,1.05454735398193,0.9543742203958535,0.4845729399908532,0.4173232258401131,0.41658920110258973,0.3799415360484011,0.40354950872362794,0.3702487416673802,0.4150261914258457,0.436849088155541,0.4739144676724358,0.526954698062116,0.6182803187854505,0.6299929376823173,0.8670970921592837,1.0269753268753252,0.8835157276654801,0.6113412958653602,0.4739424935372023,0.4937876723712095,0.4880588946411614,0.43370829643542186,0.4183238655258134,0.43764249751173434,0.4644563171076913,0.48308438580550794,0.46620276599341404,0.5251176888472988,0.4525032657706749,0.5088555424478725,0.5704175830012777,0.5914473127231561,0.7548078353181166,0.909488412797469,1.2129513927416702,2.059778169182039,1.3568273846476466,1.5814680348934222,1.8156627101551643,1.4318002873188675,1.1278840604936153,0.7347368041730907,0.6961412049781568,0.6089003664475082,0.5193499199246322,0.5365518972229508,0.5026742293762949,0.46060874981443506,0.4286273960021143,0.4238220426065464,0.4655621131993021,0.45619833613546573,0.46730734762879617,0.554158334317969,0.5530757982647676,0.5249737382110352,0.5859032138206619,0.6338826365980416,0.6299646903335893,0.6503783396492168,0.7536480271590438,0.7955342939008267,0.8501563338464256,0.8109094842959695,0.7556354280065761,0.6369703185120044,0.6120486208563264,0.7690307228724271,1.59409118150058,1.0181899793255669,1.2538177464195264,0.7168740146042556,0.619951771247655,0.6420106217261858,0.6642500851512934,0.6234053720844663,0.5824882440002419,0.7509468617191869,0.8373424097491171,0.777590248981703,0.6284931736132504,0.863529163346965,0.8314144269303833,0.7355030324081439,0.8339002303013792,0.567234377007854,0.5398517408531507,0.5793219855566024,0.6183840467597989,0.7155139544281239,0.6508442677291276,0.7006851398194165,0.5772651431627682,0.5900314849835437,0.5387366751535044,0.5254170549783459,0.46817199937476106,0.5109492070321634,0.6039660160016898,0.5505578455977218,0.5560830995030603,0.5727402200651988,0.7056328245413679,0.6159196955552485,0.5872707188055079,0.5871932733146434,0.5288929878160553,0.501154931199523,0.5290460909582465,0.5431116731656968,0.5498805940395517,0.5519746008173158,0.5836858823943093,0.615476800132189,0.5726048328232919,0.6155647834416336,0.7687027441544757,0.6944052454052051,0.6746548282717761,0.7544944138071029,0.946351301077949,0.9244699324549364,0.799130577240484,1.1794215921545332,1.377265186486348,0.9129899539741698,0.8526686550232829,0.7211202675194079,0.7022723693221619,0.94364671660735,0.7395074854523626,0.7713743718446895,0.7815836250301984,0.6235981295631389,0.5109142715524588,0.4648140423669987,0.3893403453341888,0.3944504483123014,0.4010256828776692,0.38147268279026086,0.6397621308134113,0.408307682175381,0.4089695336466037,0.42116243215278926,0.45672448824733936,0.4228668662634222,0.4847444916878334,0.4896838152591898,0.7223998832628425,1.2333442878706204,1.4885334244894317],[0.5674662680749522,0.5267980831679153,0.5609718169493851,0.4425335590564845,0.5232640927368027,0.4172514891864472,0.3542331401504474,0.36368333818639087,0.3921969230338467,0.3640863961619364,0.36295567795495814,0.4504940085998891,0.38148961249219226,0.4184127972832511,0.45748520274578786,0.4112891838007779,0.409740225444321,0.422815538517913,0.48219756823016874,0.4681280111147422,0.526177518629576,0.6459965012126159,0.7389529393670111,0.7696571293467118,0.8311507557006299,0.5830886584724018,0.5045882610863135,0.4227463391335959,0.40841015100137784,0.3744270003348756,0.42365949794902275,0.3836764463790919,0.4250777083419046,0.4461008905630109,0.403427643626228,0.4162813781785788,0.4194796004073895,0.4480721810215605,0.4010049113010136,0.4675530766694299,0.7268021239006192,0.5536502895795243,0.5451714877656771,0.7139744035601026,1.3570434471556765,1.766161163144346,2.1333765344351123,1.0389881526466318,2.192641022004045,2.3509760897080785,1.8224665563138693,2.4194997921587076,2.489079244291084,2.391979211196473,1.5326354835772258,1.0760701933963002,1.9381092105082476,0.7964091382507564,1.3485963727642547,1.6222446044437904,0.9280452127220015,0.6850796107209541,0.5201440941844544,0.6167668816560048,0.6405274495652208,0.5771959938494814,0.5585773420168983,0.4488009398579554,0.559182988000475,0.7242687004462807,0.8895701993263642,1.0850488807979206,0.7880588637330423,0.8303809412020355,0.5869692409238487,0.9228720460762312,0.47454478877210043,0.4664088936484457,0.46548951492742685,0.5256872977476841,0.44969580806816245,0.5718515995992924,1.0629736760822275,0.5151269919364301,0.60927071838,0.4271903677754719,0.45691421965829376,0.5221270580184144,0.431439982887768,0.4621654936377602,0.44835201885796494,0.6370813567643165,0.5430443988714115,0.4287109287840937,0.4239423604666675,0.5066102824382767,0.5526026752197747,0.45388630598156915,0.4312682450279566,0.47786706590296707,0.4109418251311065,0.4220834195729948,0.42354267949549645,0.43583275481947564,0.5790324541431832,0.4894685335776943,0.5258725415298028,0.48624410869628193,0.39239856470722956,0.5520857962814664,0.3301715109718972,0.3383908050641458,0.3336470730229286,0.33238114873303093,0.3794454441230521,0.3774791622479802,0.5370192366297653,0.7075647425353281,0.48357722326296965,0.42977559839415874,0.45331379480059864,0.4019402196317142,0.3569565362536103,0.31541857403994855,0.251327439549007,0.25351016622968053,0.2757033606278613,0.33513614711588496,0.3840483038109151,0.4292272173626036,0.40093630361739674,0.4000301029260722,0.4430469871546599,0.4398723405160733,0.4389382141480337,0.5235365187666582,0.6772569712653349,0.4419383582411607,0.5370180015839433,0.42445329523507624,0.6593528666272038,0.6230680412153627,0.4816265320267535,0.4654742822783724,0.43112342349373717,0.36570032437283634,0.36295740532559645,0.38460471337274754,0.324875201415729,0.3604438761677393,0.37265739761821304,0.45527480868888437,0.558316402540986,0.9087236941280153,0.9144086370011043,0.4289852799326532,0.40091661356490266,0.3580364128750586,0.3786648298986551,0.38128975556113615,0.3501821039706386,0.3933582003945771,0.40906997148807794,0.4614786172112505,0.4704617017817602,0.5977931237029473,0.6056825432509445,0.8035280450001334,0.8966066969070553,0.8753612160024272,0.5703679425454511,0.44797223506758316,0.4435044346860518,0.4324167359811093,0.39510170781511883,0.4159214262627661,0.44887675131897137,0.47948009993800816,0.47656945346108553,0.4281656587673085,0.4717662901730989,0.39004033773029717,0.4307487323803335,0.4616419391262487,0.4880045225184902,0.6773741228111475,0.8150723080609841,1.1821045767569955,1.9268413878452177,1.299380162478415,1.6341787613120813,1.9885718583378202,1.4563135707599755,1.070895779028617,0.6650640290001161,0.6465056698765682,0.5967705534800979,0.5156151496368819,0.5439767348039439,0.544549528561524,0.5192317992714943,0.46879443575234986,0.4596350314407253,0.5165511807178318,0.4918516445940451,0.49067183641849377,0.5965922180266211,0.5566956192711883,0.5171260816423733,0.5707271707318804,0.6146203986411789,0.6069814998499966,0.6251538206966641,0.7431760303283641,0.7310222607844777,0.7705801986941834,0.7613907506656611,0.7118104500113254,0.6182982255236384,0.576606841537275,0.6900230529791682,1.7870770422393822,0.9886220508929701,1.253793154654691,0.7274923982656507,0.6444688130428831,0.6693693245790777,0.7098600485558643,0.6058826010317816,0.5855262810803457,0.735592284905817,0.8278241343421912,0.7431379151363913,0.5892580790676274,0.8844239971238811,0.7692272794909071,0.7125670148484695,0.8183160587438444,0.5726524508511358,0.5850967992549779,0.6291185775683503,0.6733736812866542,0.7634521480125411,0.6622212188510269,0.7213869263254817,0.6219388292766724,0.6047994512506896,0.6093283382678836,0.5454782839539111,0.5050824506973709,0.5361568330839958,0.601649585005057,0.5326451476208007,0.5508116293778453,0.555220953745713,0.6614913383396951,0.5943997735583136,0.5706123857007107,0.5563286918437202,0.5216159404501994,0.5280464471832861,0.5366988190150913,0.5209815097914418,0.5318998749852772,0.5560055922237878,0.5590060335920453,0.5857232456637458,0.5694521534859303,0.576486249824919,0.7174365633400025,0.6651638800280177,0.6543314148633611,0.7382454033867091,0.8774898803533439,0.8820513474325605,0.7377923987394626,1.1189209248656338,1.3225431122431253,0.856295092037127,0.7910653930956795,0.6780111909146275,0.6648502265864956,0.8879616192381619,0.7083128110969448,0.7083102869304491,0.7678031193747443,0.6209177661527917,0.5600283462809776,0.5005816471622638,0.4790711773066167,0.46301779903731677,0.3893204921286995,0.4058431068000363,0.7345575446829047,0.39651890690077773,0.4714470519496116,0.4162793476545652,0.3973495778340025,0.4637492309555674,0.45502176764208707,0.4712465506182464,0.7547164133644484,1.5194072191400603,1.7735651564484682],[0.5706972711786391,0.48049744792214616,0.4566682447376401,0.34728130463770596,0.4183775054173048,0.3637170991501103,0.2926676222738463,0.3018733762971794,0.3755109645194069,0.27168269729106664,0.27002637559872683,0.3897039203841139,0.267212692983182,0.34357854563483065,0.35222044122060714,0.29905131712269184,0.2953409024276666,0.29552401630971575,0.3566225481733862,0.35481467776978975,0.40952806373374256,0.5479134078843105,0.6438080707443196,0.6979701842195783,0.7214161220921534,0.49440371990547183,0.3927867036153994,0.30376423102333344,0.28205819762412,0.24557485043723667,0.3135667939829229,0.2797040862303224,0.3387274639780811,0.3407679156898041,0.2652504454769411,0.28986553613902505,0.27772924642673974,0.3160349801491324,0.270822348905217,0.33767514488369565,0.6147518077148696,0.45695750832351556,0.4335125334549664,0.5789546729037687,1.3091108081332645,1.7171409913115827,2.1059738778937844,0.9297611957456898,2.190272128587337,2.2214698696448587,1.7573249989814943,2.3663653423189213,2.4675273558752853,2.4161099477168153,1.4624278354151354,1.000070734304294,1.9072063162306252,0.7169417342945201,1.3072668622021697,1.4675061316655877,0.8656078034937067,0.6091854285341994,0.3941336461220151,0.5614264688612632,0.5255912740301739,0.4733540220622712,0.49029469412131377,0.35220129992117677,0.49505797315815797,0.653730925507784,0.7946947557754028,0.9946760984211136,0.7554756228077,0.6786904092200474,0.47823071532747113,0.9504769932006016,0.3514978428937946,0.3282228597704705,0.3356205114446256,0.3908571536758788,0.33009680428637217,0.46580313074477686,1.106660925626272,0.3830188597009035,0.5114705577379983,0.325260892828253,0.3356571830767148,0.417389442459756,0.30071282403198074,0.3624799474516755,0.3420748278504877,0.587744779274106,0.451308213446433,0.3266691701829494,0.32237716731902394,0.429599734872591,0.4587963662647968,0.3653389603473767,0.35015554254629494,0.45620511669185987,0.3246293830731317,0.3597476704407149,0.3146559241784683,0.34724131851649637,0.46468175972579123,0.4291084547991323,0.5058178504142933,0.392525595578093,0.31894977970702965,0.5120752591458171,0.257461622608921,0.25583339536969213,0.25613050609892957,0.21601170377247284,0.20833776604817908,0.22387841006988637,0.4173402860594365,0.6342552633156106,0.37158041932686003,0.31482199298877356,0.32504688659265446,0.2599274147465128,0.19706325995738178,0.1356862224583505,0.19976694757941196,0.24443685394118447,0.24224207108225107,0.24403301299082547,0.2844770183713987,0.3396082483645745,0.2988925160246852,0.30996875113956734,0.34586720073259064,0.393645234402435,0.365532593372671,0.4394505069763062,0.6612554434732537,0.40687788733477226,0.5610818853129795,0.40414778466776086,0.6627263592398579,0.5892186575678973,0.43041519382566423,0.4221695879893599,0.33949494495016325,0.24452413585148372,0.23367890931554494,0.24931535722230244,0.2208526535535075,0.2867023644635455,0.32541797436822045,0.45315914790019013,0.5924420344126703,1.009631742631179,0.9909345870394229,0.39487830326758094,0.31739568485732406,0.28198540724440374,0.2627370233234051,0.30077664531454684,0.2757309020702499,0.2880116204519111,0.3300344143508997,0.34988744699170543,0.39869477074095294,0.5321535202586489,0.5502669192077126,0.7465407586396096,0.8427415031331567,0.8392927162678884,0.5244460861515727,0.3999384965392905,0.38515707536594473,0.33990682663918315,0.2765435064648493,0.32610762662084003,0.35535900771776024,0.4376091288896025,0.3576764660459739,0.32822897523298256,0.36509838413317347,0.30335978195468205,0.33276304046948313,0.3930552672023595,0.4392022038642377,0.6168687634715706,0.7547941584485921,1.119013948819965,1.8546396809773018,1.2152838112400668,1.520385294201328,1.8816735689628699,1.3363160934780445,0.9736245561860805,0.5522373433680152,0.5109071981641676,0.5624314214789129,0.3894127074104005,0.430832236802057,0.44658416520842,0.4038703157129865,0.39325429068895423,0.3756454135836274,0.41111610005515814,0.4049602203429715,0.4298365532603596,0.5214888539552466,0.4656671374057214,0.46820312398871694,0.4976301618560465,0.5217513422745532,0.5305815438920916,0.5708913903972467,0.6871726450406386,0.6652619622580447,0.7136673011813723,0.7150048318233718,0.6535996836986304,0.5428831141704521,0.5021744783597714,0.6256957670411053,1.8990583054606989,0.9519695673573658,1.2749070903032689,0.6395653937559351,0.5837690915040749,0.6376986432113907,0.6540186519562453,0.5462398389772621,0.4911943712244078,0.6967771065990527,0.722221978132463,0.685489133355946,0.5121257502202435,0.8525070621014995,0.6705265814592039,0.6358528219584215,0.7538933990703259,0.4578539326688716,0.4866678899987881,0.5520673114656002,0.6170228896084204,0.718494009596682,0.6328598866688677,0.6850409315400611,0.5824011904985623,0.5281930096096564,0.6073634418839231,0.5143240942088168,0.470227648673417,0.5371350254690845,0.6259569401846905,0.5163088002462384,0.5093932664569447,0.5476688147491949,0.6365424197906603,0.5302138992698486,0.521443604380148,0.5025527715763188,0.464874270432256,0.4606719536019435,0.4580071683564942,0.44926927034767444,0.4492281603453186,0.4685718710166756,0.47278376785289583,0.5086118855966157,0.47961511754329583,0.4945319391471849,0.637849514923255,0.5887524468569066,0.5779432375602817,0.6438924003161188,0.8490355874993365,0.815852994892022,0.699061450995632,1.0095541919442352,1.2215633116056572,0.8522096637380923,0.733147715692264,0.6099475230871867,0.5834988366089146,0.8382624035439555,0.6276491361300278,0.6451848271548747,0.7003624659876554,0.5398854516611121,0.4610169105322225,0.4060209755693102,0.39792437860971525,0.38296284141566167,0.30831616365768927,0.3293500056995276,0.745911922836991,0.31215017944511325,0.36832396804574913,0.35392123659220814,0.3268977132764903,0.3836902457357002,0.42383026317993533,0.4320791046904806,0.7167677046722764,1.5416034616734906,1.840681844556848],[0.5548026205155685,0.4411959557122222,0.4141593849331989,0.34308285996255566,0.39902634007501736,0.34083991445621353,0.28474026540702646,0.26362464070890784,0.30206487966360446,0.23832568516140448,0.24321842280796985,0.35018786156837745,0.2791248354386201,0.34321046947069395,0.44274500236699105,0.36645669333365183,0.4297852162627714,0.4413737059547533,0.5306787417714702,0.5432526185739536,0.5846029472333728,0.6703183035467722,0.818679171835775,0.8960555872987135,0.8386387152567988,0.6913460938815528,0.576454981764137,0.47228277488514575,0.42053485582858774,0.38153530115940065,0.43433732213698123,0.3569243174250757,0.45091050340232,0.464790321156417,0.37749856277187377,0.4427810066775988,0.38917007824845384,0.45969188554112606,0.4637421313402232,0.5046623780388825,0.7328700381667588,0.6244966095533688,0.6038178133256237,0.6434836520670035,1.3955756331209253,1.775189996735537,2.3272973744481122,0.9750370444325528,2.1083384967676198,1.986137650919058,1.6550555766228474,2.1622867067929525,2.2449712947363136,2.141340670346287,1.4203317445803065,0.9147429248208658,1.7872505104406422,0.7074900325075839,1.3226379937274577,1.5055889613470959,0.9121832111083287,0.6619146763866578,0.5410954423248185,0.7078195386208467,0.6517949150551849,0.6106674167218809,0.624186371364856,0.5059710646221756,0.6367035344754395,0.7269161995996022,0.7900230370222806,1.0082579074801459,0.7522538525824208,0.7610411949458121,0.5447621700582793,1.0563524008415321,0.49986448297133235,0.4948213143369712,0.48949556641094855,0.536179966371343,0.4622487591752874,0.55771744136067,1.174434672826321,0.4874886671280549,0.6007673514538899,0.446261152102728,0.4625413362777601,0.49491544237343627,0.4624329438196151,0.4782206568518182,0.5038444687141084,0.6813980113091467,0.583536747077861,0.45267204872462136,0.4174985138658304,0.5310581853861392,0.5212292406316358,0.4165604547874446,0.38177282694551723,0.5053934777041567,0.36398699429511655,0.36703005664383753,0.38501614769899634,0.37211359044335374,0.50844311338955,0.45680916901936475,0.5160685257735278,0.43994383352720795,0.3519030418568185,0.5190533854502574,0.28333061561736284,0.3179286986704196,0.3068370456727972,0.3119154802087512,0.29865387243866576,0.37164893093750134,0.49549401889960265,0.5539654148788352,0.5259384872729999,0.4560671742010408,0.484807857387938,0.3976905896792621,0.42305825703182554,0.3073952936554331,0.2506116778604684,0.30345440543958346,0.2572982107219688,0.2879510816714961,0.32399027439624967,0.3987969631746903,0.3457082343384756,0.35536807056465836,0.3898300355837939,0.43038274789218217,0.39367283721027213,0.4344429692729674,0.6473594253524009,0.42699497869104425,0.5323188610096831,0.49173947084719455,0.7688978474926254,0.7768470306387038,0.6300651777848019,0.5787174627127821,0.47183873850208186,0.4058985242528338,0.36938367689933943,0.3591574588969472,0.2942135572996004,0.31123815919745834,0.330561183613944,0.47955155950366324,0.6217709450175366,1.0642669831884497,1.0672564817106196,0.43218501986892166,0.35685647468691606,0.31735697704430504,0.2983028903073101,0.3365843786730703,0.376414230936975,0.38916395549708,0.39375610173778,0.4396911857298885,0.4605703272253114,0.5810424001037664,0.5569577150370573,0.7684316978671378,0.8614110537493788,0.8446416169115329,0.528600661877831,0.43572206369000827,0.41886009378019995,0.3772305172019999,0.36305941763115473,0.41264731751078854,0.4325665601595766,0.49164970208714653,0.4268265264995773,0.3813121311880626,0.4340085291692758,0.36887507904757894,0.40271643527144935,0.46429416264784634,0.49684348386319505,0.7473015809452103,0.900012832206988,1.295023449986161,1.8805010068549917,1.2705215012629079,1.6460720979716934,2.0299972259618815,1.4123543702778663,1.0058348993113073,0.5949558809600495,0.5754470329199433,0.568106485550774,0.43186713012816913,0.4615574077651077,0.4585008270665401,0.4076389441606576,0.38243735646430593,0.36642469265305516,0.3968442514329501,0.3839645007718732,0.40894168378091006,0.5086007342960687,0.448971591932902,0.4495351088556671,0.47072756335948784,0.501670203701362,0.5133744870345345,0.5553594794634347,0.6658744820759057,0.68037510255137,0.7602138815181888,0.7258157282200477,0.6783327419617358,0.5366067925916713,0.4930057089540565,0.643440601771876,1.8884618140450504,0.9543149876572508,1.2611236413027527,0.6206379239417382,0.5688354610090536,0.628972401965469,0.649724391080824,0.5386903850718014,0.48639433469615745,0.6987740375558559,0.7318798169391518,0.6889432905703115,0.5223999507428237,0.8595260611602275,0.7093848642910155,0.6622398581645045,0.7776357602215839,0.4784642746558877,0.5142340677300786,0.5750765699978178,0.6163990030686731,0.7279077683485425,0.6396485681255767,0.7107877127425273,0.5858127197440046,0.5102256117878982,0.6333502066793834,0.5189096345454285,0.47587969334345304,0.5672334652543035,0.6656288318784631,0.5344330713972903,0.5217054353012395,0.5845159186726943,0.6558218251465303,0.5225958602844359,0.519743195808348,0.4909945523291831,0.44997143124817685,0.44281681274443807,0.4325679781147923,0.43460251660215693,0.4298011874857776,0.44430597454978743,0.4511970023443208,0.4914410832685455,0.46958811860572236,0.4931970255877288,0.6424505000881944,0.5849136446807881,0.5942449222966671,0.6578586677043736,0.8784815714480031,0.836718415208889,0.6921022391258282,1.0189473116274113,1.2015831013959442,0.8787508515279437,0.7604989515712276,0.6267458800702311,0.5769352564151959,0.8358512545209809,0.6300278666995192,0.6770629251536073,0.7068490383474605,0.5363253845419665,0.4573586101105318,0.4149375990984682,0.4037170814273848,0.36200469145268804,0.31722595921545066,0.3397284665464865,0.7843566127922066,0.3140558226889798,0.35211519896041554,0.4082601790709067,0.34744557789069724,0.389844502508389,0.5021965506372349,0.4789783805766891,0.7600579141730818,1.6944498772051046,2.2049620305252975],[0.5726137877893217,0.4138394993975472,0.3619224671563501,0.34215964334030574,0.3621866873854564,0.3928052285577549,0.3661820116104945,0.2941475100627854,0.21244954585181147,0.2077077774259606,0.2012297455817647,0.30494044816215266,0.24590983488448917,0.28612805536986746,0.361901938328031,0.27612075652422136,0.31953674261751874,0.3371792604148582,0.41215680767733714,0.4123185958901035,0.44994277418663314,0.5484170409471345,0.6566584935059329,0.7265927508379246,0.672318162730859,0.523945760458162,0.4472068443518347,0.35898334442372837,0.305222791350289,0.2964687882503592,0.33943375120938196,0.30040439062458124,0.3885970805242599,0.3715867747927459,0.2933077257501117,0.3372223191361083,0.3171690281740136,0.3515948996495895,0.35177322634637054,0.38942522118025635,0.6226157346841354,0.5032527363403969,0.4689578130407157,0.5642670225223881,1.389835366757639,1.7246938066633626,2.240705832440348,0.8659038908380222,2.1461792041411294,1.9007712982362843,1.6577464814182132,2.1453941637046383,2.331865669158279,2.2974634283378412,1.4190689274965826,0.9076984759398905,1.828262567452232,0.7374713466995909,1.2669984284126254,1.3286791433337923,0.8648204998120941,0.590064975802433,0.42565590326923797,0.6166222843096518,0.505183319273954,0.4803827523346479,0.5619250859212159,0.4117875049996593,0.5563149253996995,0.6660290159467565,0.7559848870771542,0.972587098204236,0.7847367758506368,0.6417856605626656,0.48282513566629637,1.0196271616612886,0.38524722476175094,0.37619752188513533,0.372068005527781,0.41471293917067575,0.37627970714377895,0.4704379509583464,1.1790330315175743,0.43560412154575434,0.5541637405388441,0.3685247384655974,0.36300236792216484,0.42994695547164596,0.3472829246653027,0.3907484521716717,0.38085936843493295,0.6105549519343235,0.47993548694153987,0.3633368082212377,0.3425672744338499,0.4553490605487946,0.46255503141841614,0.3581207586984361,0.34735616679607306,0.5032835088009675,0.3525349649484666,0.39828976835591656,0.37731342114535504,0.430748346077213,0.48861112216345254,0.5037854154506499,0.551123915149554,0.4367027248965324,0.3814348079356141,0.5667011381914795,0.34817507588031454,0.36593931816827036,0.3646659373061639,0.3400258559106095,0.3018236473676291,0.3125194308267,0.38029893915099083,0.5352021603937087,0.39031968048993976,0.37130815497635516,0.3358174457804169,0.26811908374539817,0.28198146870031104,0.2654345063412561,0.2900282034214513,0.32368398981877855,0.31463727267707753,0.3213896798409379,0.34019009768550057,0.4058865701771508,0.3464405941961474,0.3554091575966746,0.37267766232040284,0.4607446986490407,0.3975118385220811,0.42443536856754177,0.6337080955591667,0.41087956989934227,0.5536541875967494,0.42693575738483575,0.6701561750514254,0.600975267765476,0.49822081911054605,0.466843244904492,0.34529620241449144,0.32194603905884345,0.3036546510060409,0.3156730285353319,0.33232296689306334,0.3548190932823043,0.3901453159291821,0.5241699226977231,0.6342514711290046,1.0369992054615218,1.0722439350981159,0.4768655838776837,0.40545666506151773,0.3798933038168356,0.3146288440738733,0.379943933755406,0.38443818744865876,0.346151366891531,0.36223779218785784,0.3899167116099672,0.4275434555586058,0.502875481817068,0.5105447461915845,0.6503430450404384,0.7296674948647219,0.7773687092329675,0.4974736885558538,0.40034392247352524,0.39972724913040375,0.3742946288014011,0.3378095838130301,0.39420380795624776,0.38877308388581006,0.4827721987228238,0.39066678774733726,0.39768645576824563,0.38511379340392254,0.3750590657066066,0.3830457548867597,0.41002129671544996,0.4541088337643813,0.6465526903489567,0.7840948075830892,1.237562779191041,1.698060724237532,1.1081386417742427,1.4890996771312552,1.9768478221080967,1.3052797136682328,0.9204118368501134,0.5307447097828705,0.4907620005697412,0.6079134960470246,0.40914037846158446,0.435015257796475,0.46608058876345065,0.4067574356573288,0.4104271001304602,0.3863985379458696,0.3807306732501696,0.3947467686504544,0.42037307815474384,0.4733691260222902,0.41107884350893004,0.452884407568325,0.4466910167442411,0.4599725875003775,0.4746116097180299,0.5350117002850393,0.6407778266290522,0.601733931781691,0.6492278766650831,0.6780211921946925,0.6062256671564077,0.48668785434336015,0.47171937799931046,0.5649991920413222,2.085520838140421,0.9115629986355291,1.2351328330468223,0.6176081964742327,0.624078063604134,0.6675063679502278,0.7089713965290728,0.5661698696130337,0.4899549379645456,0.6980140161344734,0.7038610686392055,0.6471896846720971,0.4916978815594627,0.9134128226299242,0.5925958435344254,0.6072151060618459,0.7280675738526426,0.4397588043796251,0.5176772853146748,0.5937252873383734,0.6476811457760762,0.7695289242817417,0.7248686237828936,0.7673323188185849,0.6307640152389278,0.5630574291733981,0.747488367354304,0.5920183343336292,0.5421278333188543,0.6529676155341424,0.7331147817594967,0.5743623284812037,0.5714500699713877,0.653733071807704,0.6662250383087737,0.532798743246299,0.5424736708137511,0.5040070668189452,0.4766056568226784,0.476787056194539,0.46149088231180296,0.4477260972284319,0.4429110950189276,0.46772897631108135,0.43764919478483627,0.46234137152503474,0.4376830844788382,0.46399753672714716,0.5810207228228855,0.5444489354999039,0.5281799516814987,0.6098518878168777,0.7865761595709023,0.7595215394135912,0.6582779565835702,0.9597046772157909,1.2065384514199546,0.8317093180529928,0.7044677211533147,0.584514037272692,0.5424161818638963,0.8170805444939055,0.5938545852950379,0.6048910612834819,0.66691442511965,0.4795512559492571,0.432054131719872,0.4054601975324137,0.40378306188218077,0.38517127815880764,0.382306757121643,0.4134404498591474,0.8725625984021755,0.3640552460724473,0.3677109226601563,0.48491486406464945,0.41043464010647096,0.4053119895976439,0.6030092903184991,0.6159961856594776,0.8538481649183475,1.8994054347286051,2.445521144441852],[0.6073490436456156,0.4058912743262486,0.30791524260428194,0.3334259167496467,0.2961290624715626,0.336592410291575,0.2780757289333907,0.23048171386900873,0.18783040981397062,0.12250390139701477,0.1883472760100448,0.3001659040980719,0.19144347892873675,0.2652241310661813,0.3505744283367866,0.26346095648666495,0.33293374083657273,0.3710876913442711,0.43776424469890335,0.4230497386510879,0.46187519908163,0.5524357353801914,0.6251063223740387,0.697301700740501,0.6310581954992123,0.509656197919493,0.43761063031281866,0.373182357450373,0.332423461526425,0.3064986980587473,0.35353276283232815,0.28977852940425186,0.4043189499420225,0.3490708279356893,0.29805942563346394,0.33584447067194234,0.33229170442455386,0.3612023557322155,0.3465206403678992,0.3727900510505706,0.619684368669964,0.4917764830917548,0.4445533944897671,0.5418208633479031,1.352857361032766,1.6816895091645847,2.1462242508719593,0.7961395352717524,2.1824058593524347,1.9012087892119869,1.656154630111319,2.1638420582661206,2.4049829773788134,2.435659965139578,1.4533007655817294,0.9306642097519168,1.8451429303539166,0.8328366229699798,1.2675031522961446,1.1728102366123643,0.8463367562907818,0.6068497364356124,0.4311097367797558,0.6860189771957926,0.4932609052783432,0.47509756767175054,0.6194505586959976,0.4731717291425796,0.6127541103700184,0.6651455059914718,0.7763677871446357,1.0650913673727895,0.921379394464071,0.6603309306632187,0.4917373148601674,1.0617208829609608,0.38051611699692767,0.37454623064336545,0.3550525607509123,0.4112854540550137,0.39895072189271263,0.4762134344449983,1.2143850057588377,0.4486512633315814,0.5206774819279029,0.36200154285562036,0.37395341469937765,0.43822891411458903,0.35244357789006625,0.3984169490636105,0.36071323426577784,0.6007891387333736,0.4329701826986435,0.34779211883578964,0.330261474334072,0.42329782735355775,0.4196423728839147,0.34695104309873553,0.33264477873716936,0.537223403148094,0.3423576665991124,0.40116451293064526,0.34233007604389337,0.3994444114216455,0.45193593495448864,0.4458337517395985,0.5624266646110515,0.3735998189792075,0.32260983422319006,0.5574217024753566,0.30056678061206843,0.27090252594226594,0.2660879560634278,0.31359161392994944,0.30629702471216713,0.30829750896616803,0.388629760582433,0.5605349645772236,0.40450422443155487,0.4350639893047155,0.34728119774137833,0.2911105189789678,0.2888518140580574,0.27148376275548736,0.23555534742727421,0.2587889187920888,0.2525369365934511,0.27313346758023277,0.24794431795933713,0.3428383526956873,0.27850061429827017,0.2969867004875769,0.30505389858434767,0.4400356399970638,0.34807247597423563,0.3810900076152752,0.6386969778174783,0.414565534228621,0.5934908480126018,0.4009711472569057,0.6487417147865877,0.5631840482611703,0.48265753593045546,0.4199472385226988,0.3249807780896704,0.3239020898317977,0.28952369791017296,0.2985730413898729,0.2797240582678221,0.3047732786755236,0.3689104277461734,0.5262750760441731,0.7135807962936037,1.168579307003494,1.136646746248596,0.48702431598926227,0.360276932376855,0.3507485742916167,0.2926762579738586,0.3376445242916562,0.3217429620927104,0.32807587063114846,0.34819319497806,0.35988719192193097,0.40561084871618946,0.4695197243573007,0.4737090379366508,0.6027952425829286,0.6973918274878734,0.7546047282449643,0.47296767493322567,0.3814432822992123,0.3727893666348884,0.353402992441184,0.30138214824729437,0.36100908804660997,0.3681155324376407,0.5538023114139907,0.3584535725986174,0.38972532468901744,0.3544040500861057,0.3230239630275336,0.31855088028606854,0.34544027892046014,0.4042303687130366,0.5915760504867316,0.7178367443230738,1.1670688059302203,1.6400257407090948,1.0333042835015458,1.3704847300562326,1.823382921413516,1.1843025065204065,0.8294107176095284,0.4478402071839595,0.42266153238548787,0.621448486292914,0.32386606583478694,0.3478768540220309,0.38864546043693227,0.3431868188766753,0.3778261505170081,0.33748184612389015,0.33173856287219083,0.38051340451814647,0.4055523169738223,0.4323916765061372,0.38811900688122786,0.458278655540857,0.427838139285909,0.434549645067521,0.48032148838392563,0.5423572568429389,0.6302337677339884,0.5943121187533127,0.6295216826824725,0.6839799010235672,0.5957875978683198,0.4771340692907456,0.45887973646368674,0.5086146726676495,2.178021675857143,0.8604896752774274,1.3152903293417386,0.6003675767631259,0.6161390409344006,0.6692202596902076,0.69487919761985,0.5503186171229015,0.43609525112870196,0.677810193538763,0.6435691341026919,0.6579418454268025,0.460484108755544,0.8667626303947631,0.49902286147709984,0.5443791922428385,0.6784894066195393,0.3707634277986277,0.45435382458800916,0.5446481912313964,0.6134035460650065,0.7372417556901808,0.7723041513385088,0.7726645589980877,0.622568019482245,0.5779702082677025,0.7590808665325509,0.5921076105288509,0.5552838001237259,0.6915597353854971,0.7683422018339203,0.5929665201842462,0.6016505067271403,0.6971274143116137,0.6837525634720653,0.5596668767256174,0.5845846014597117,0.5319115315978822,0.5072402464627567,0.4841789208707245,0.4588519542139557,0.4592379431624506,0.4373664161196377,0.46577732556178925,0.4179438019649965,0.45196096823298026,0.40224675025513446,0.42171362481735164,0.531722602614416,0.4975323533767199,0.4784306655152753,0.5466704430901712,0.744882970662147,0.6899164638436028,0.6087990402373545,0.842990844052032,1.1177538199965598,0.8332183090010182,0.6537853466983418,0.5397174656260881,0.5035338571391503,0.783183679675002,0.5485970999973644,0.5602541919577843,0.6268939445657393,0.42543987031164765,0.3588123992346264,0.33896615980100514,0.33389867947982893,0.3274030070066484,0.3633771258194641,0.4225885153774481,0.8564491202633755,0.34308221508288445,0.38216534489331466,0.5240635468217878,0.39706260242876573,0.4179036359254065,0.6869360438389873,0.64041327935814,0.8951145366465028,1.9516458339202756,2.6043949643787605],[0.6372519763742165,0.4241750357375986,0.3162511530944464,0.3511223056059182,0.30302913771889634,0.34162136872507143,0.2925892986321395,0.2547157739455536,0.20618221437657033,0.19958311012962965,0.15383770550951795,0.29991592737666833,0.1974946929520544,0.2354475266250733,0.4032834508460839,0.3308925578051191,0.38993075634965013,0.43487053049864494,0.5109800436973103,0.4826711577549136,0.5269135423728933,0.6013362257879383,0.6810276515254157,0.7684850612260669,0.6377079741314553,0.5708221078462616,0.49004738736907283,0.43392385781880405,0.39827340189708427,0.3754044052309537,0.40826460095896927,0.345676594428527,0.4686666313562676,0.4018618666308309,0.3475211453259994,0.3976104832861797,0.38563334354241363,0.42285974795861786,0.4228269558652146,0.436177399345604,0.6280452334971145,0.5513172142137944,0.5174449051689048,0.5563439909761907,1.4270554789857472,1.701359783216913,2.2741741797901254,0.8518994443910805,2.1450069403810215,1.7363883967854234,1.656947431012359,2.057651380422464,2.344821525910111,2.357524822438842,1.5083239105388582,0.9323070416229792,1.7951139904679112,0.9211430144476622,1.246388884122953,1.0951095689267976,0.8843626608672063,0.648620597564069,0.4715431777216309,0.8069539367163653,0.5547630697545192,0.5214866711937839,0.7073094944783407,0.5547655544236866,0.681376618938937,0.677242490860664,0.8239474142434686,1.153706114103141,1.0037072305192574,0.7492248824355903,0.5303455590277494,1.1366891580191107,0.4348595706217213,0.4260400215751689,0.39797105914497866,0.46130160152773725,0.45949290437604035,0.49951453301169807,1.2284782250581938,0.5069676991086496,0.5645143567614821,0.41016527711617684,0.4283322532410564,0.46633053498583865,0.42466849052303557,0.4355946601455317,0.4152974246775683,0.6350613228970914,0.46987822460449835,0.4047709772957126,0.38110197770469345,0.47778683264370453,0.45710836152468115,0.3938851120461417,0.37420103965732254,0.5960092183250987,0.37805600317121413,0.4295018947375087,0.3741490160646441,0.4230479693212617,0.49499434225768246,0.4598910017721812,0.5832220141106598,0.38419152249729016,0.34114035012932736,0.5761265037488259,0.3308543387982964,0.30431363462947686,0.2932906752645773,0.3569502909976717,0.35853346897653415,0.37274232401302304,0.4148733072446912,0.5458480906543817,0.5429963707126895,0.5439738494465354,0.434129074414255,0.39289817578151603,0.3814898847995452,0.3138478082760096,0.250056558244741,0.28936178074819835,0.27485002311524903,0.3067774074573083,0.28014461944620866,0.3750439404170815,0.3029182805072353,0.3258631229738672,0.333195199146397,0.4897888065233838,0.3680031134880222,0.38265192709736734,0.6195747895321877,0.4422276945449971,0.6159025460178311,0.4332465576392715,0.6774010812419298,0.6344842260011059,0.5352861276591082,0.46084483552850186,0.3747784562048557,0.3840795258518659,0.3524016382092763,0.3614417896570361,0.3474005803007938,0.34107596426528447,0.3875260124287045,0.5614967936594052,0.7498100000078306,1.256916231795626,1.1922201375228902,0.5173058491547957,0.38908905793209825,0.38559919490792327,0.34681289103232477,0.3739479692980059,0.37932758697016783,0.37964866769555133,0.39867554862093746,0.4151244686364999,0.4677753464665157,0.4993476419274106,0.4948031373123656,0.5924360562059844,0.6550646518948978,0.738364414032394,0.4747727948853194,0.40374120297510574,0.4120779736954836,0.394488315060408,0.3577715543571036,0.4171361183687682,0.41505679169555065,0.5945974716554745,0.4047389674306106,0.4469540017785589,0.3917067432858416,0.36026297513406685,0.3627130314060787,0.3755753017069665,0.4343934240156974,0.6254851544502025,0.7436940001210137,1.2832066525808492,1.5871298441181876,1.0188615998053216,1.360668018686004,1.8606646921299257,1.1570456532359756,0.7946244467150462,0.4561755566228849,0.4403199798188447,0.6469042048940691,0.340255754482865,0.3557727760430941,0.3970728139647853,0.3663792939758072,0.40589578230921536,0.35568186816692726,0.34810705268830233,0.40164460344885883,0.4201122749584309,0.4361979170617478,0.3985116837283364,0.48901947906325416,0.44162533865679626,0.44581229327537464,0.5045801376503596,0.5665779347321637,0.6525838453056897,0.6195394741816973,0.6364891609339028,0.7154396937218687,0.6039577448576854,0.48750977568075876,0.48070879461922544,0.5167613172786837,2.2486056227140105,0.8658456660721401,1.3324691458791038,0.6183746736380669,0.6516819284937099,0.696308300455237,0.7410364795402704,0.5724762349851372,0.4509275613927469,0.693299678944186,0.6560153422847312,0.6494658827334561,0.46435886881612987,0.901437429224989,0.4832651527165917,0.5354381465851132,0.6743698365347058,0.3812907193140046,0.4769316550253799,0.5811136168949536,0.6449906656453653,0.7697669324714832,0.8333656276563106,0.8153708545941734,0.6539521508758145,0.6214569133986683,0.8314702944998871,0.6321445346907117,0.6020388983649353,0.7521536375236882,0.8161639695763061,0.6281809522990187,0.6569241671307766,0.7650654473907557,0.7246908488740883,0.6111502804276137,0.6487100388096236,0.5804076265975526,0.5576016650294074,0.5272562814277238,0.5048995016799868,0.5025508573932514,0.4605832885334968,0.4827289825753072,0.43708313466678156,0.4675512339632033,0.40855604158786163,0.4316224414035881,0.5314872147317109,0.5057206544728234,0.47494086180845513,0.5578347869868895,0.7302525689028053,0.6833325397756579,0.6149883291702979,0.8530972846190336,1.13223388027398,0.836983081720215,0.6602333354680807,0.5463598310544816,0.5123770779547143,0.7870722719264602,0.554513788317504,0.5632909671184916,0.6316277875909371,0.42529933224008165,0.36872428747455577,0.3483848053950054,0.3459964681241964,0.34919766936883995,0.3995269227316032,0.471351361615019,0.8759436594931634,0.3671357491796068,0.42235998891035775,0.5857703897155725,0.42286784643111164,0.4492586876805712,0.7785672811216102,0.7163578320732711,0.9851967986454157,2.0665466973569955,3.005464356971223],[0.6235935034247827,0.4640462410131361,0.3808261528577071,0.40977850498411694,0.4266803859104495,0.41205820532282156,0.37915512312175176,0.3228815698338003,0.28903916550852976,0.29757268195728054,0.2700877276662279,0.39872833357994497,0.28169964050451435,0.3021480727944387,0.4052955783391453,0.359954921130598,0.4252744549146645,0.47082058700009405,0.5900141797204049,0.5437533226303822,0.6138762093805366,0.6821232928114732,0.7883886889315679,0.9074701835318436,0.7348446021001047,0.6842500001762406,0.5952742168584607,0.4991681896559808,0.4295338649297769,0.3956699001783824,0.4544253456297035,0.3900576366264974,0.557519037861619,0.4854273750084062,0.3928805130706158,0.4301297475857329,0.4111609955423404,0.4577429669328229,0.4903820935372145,0.4967076533229867,0.7090031252617648,0.6265987200278887,0.5989747867282756,0.6296295882807296,1.5859929305577267,1.896533409152697,2.5931793859029724,1.05439448291308,2.1344741027132668,1.721234540360394,1.7334979203493297,2.0180094794622603,2.240321039979403,2.201188592445019,1.4526718687482816,0.9302518562805279,1.7927543342943093,0.8789146702358684,1.170341938573094,1.2523549745385887,0.9765349596070826,0.6997499784822502,0.5394629813214437,0.8659663603758693,0.6510713304102342,0.5896219959433194,0.7578950943557915,0.5867922862159379,0.7665519907731404,0.688659310880054,0.8238393146236328,1.0692492169888035,0.9168985392365228,0.7875785597476715,0.5530447211431901,1.2134663047996754,0.492419872172351,0.48666020482404426,0.46137811398936407,0.512825212241192,0.48306118200156617,0.5362705706131145,1.2118193436603715,0.484618414757715,0.6188024402524718,0.4347140050839644,0.46692965396369235,0.4918435610475333,0.4600876877727835,0.475954937861646,0.4884048660118385,0.7108942384248531,0.5758494528694281,0.5253847540574014,0.4662216395318937,0.6159830894520073,0.5528065945430366,0.49031926100627105,0.46854042014584774,0.6477233862469233,0.43305941560357336,0.47968719344774013,0.43195204724669667,0.42704099740117596,0.4811971962931744,0.47662969999659727,0.5670014188799234,0.44616698047866293,0.3993176989041609,0.5924431100500641,0.37661073125747657,0.3709916100683146,0.3729539192872572,0.4211050068615236,0.41663117386676074,0.480270898444464,0.5109171196428772,0.578296843798115,0.6860335876631677,0.5824989951232129,0.5427346394573737,0.5203896663948984,0.5366749191923352,0.45141248716186233,0.37215899035318306,0.3945278022977828,0.3605921806453061,0.38281544252486527,0.37456227929433833,0.4351418952469295,0.38954512390100965,0.38700923573086443,0.40987833876657925,0.4864448621390701,0.44266811608478707,0.46580686510597646,0.6704111472415448,0.48812713716339334,0.6513042502771451,0.5556868280921518,0.8096812509336929,0.82456609653172,0.652521796097212,0.5877265271114702,0.4771253945831622,0.44709367318326443,0.42956316752592577,0.388758198282917,0.3683421080073795,0.3665895687955411,0.41150161688397263,0.5731419621846722,0.756613528371665,1.2842313931329707,1.2125626054770553,0.5803151943202178,0.45513365552187,0.42308011190552136,0.387430320833912,0.3861327820228501,0.41545618929215034,0.4171258404275544,0.460485153057346,0.4743559966752132,0.5185219072642853,0.6206366998085534,0.5836922027010985,0.7379976368060471,0.7935178974330517,0.8683732591804108,0.5738100983245313,0.4927214035292501,0.46546171525271113,0.43587602290660243,0.4034604405510009,0.43909735473085243,0.4358211094734471,0.5770974971488294,0.43502131009128836,0.46077800056743845,0.43646458605845956,0.3913857233443038,0.4228405379159944,0.4393975356375586,0.48268427796796937,0.7042048268198532,0.8250905185431733,1.4035728620661194,1.6501671807779672,1.085389783077193,1.5235711176780677,2.0693590043509524,1.322804902750262,0.9176399307965216,0.5717951679247606,0.5264227789595511,0.6440120349535635,0.4419941816708126,0.46049799633601546,0.47421747904758427,0.4234126726402319,0.43590318697339125,0.4083859927184883,0.41578553682258806,0.4341820949562145,0.4526437460926703,0.501049281939747,0.46387478434209145,0.5124443859073009,0.49410758199146315,0.5069403956195,0.545024942768622,0.5932928252613038,0.6850007558760732,0.6691495979400534,0.7008011261862082,0.7232157871809474,0.6654736863625899,0.539122866169277,0.5206942089909388,0.570261545435066,2.136944121405334,0.8960008130301901,1.349996766092919,0.6619555188933661,0.668335772087618,0.7011289720074213,0.7423691952003326,0.5957166400233268,0.5038935333539609,0.7114062305005205,0.7117132215047811,0.7101110209307393,0.5319880894707322,0.9019576544953248,0.6028427957842891,0.6441209622357608,0.7479863365043588,0.46760076399566064,0.5383858228686571,0.620192522247113,0.6571733657830233,0.7857802566790825,0.8213063401312626,0.825849739291766,0.6626412400499235,0.6228030206974332,0.8239058290901682,0.6378481405787431,0.6073429947028267,0.7462726449031627,0.8169297901201871,0.6406279831408418,0.656308484475568,0.7606822878732653,0.7314081143201503,0.6142624239188026,0.6451731785449503,0.5798672831531726,0.5566288056650771,0.5327110796407855,0.507967022996065,0.5021061084916225,0.47887585731341054,0.5068453354508273,0.46267880281446555,0.49026733100142666,0.4579239496176046,0.4780150678710424,0.5853823551982541,0.5686762000985432,0.5576930747821299,0.5964147080013922,0.8285945569954065,0.7749365921059671,0.6624387751444832,0.9238738571495255,1.1465492764623653,0.8959871159570267,0.7319736934357377,0.6077223833333187,0.5601375396136091,0.8086526542659224,0.620663595497129,0.6585129313866555,0.7004994606249441,0.5168122301388265,0.4755569372973015,0.4497967372534326,0.4442028932563716,0.40384391618273424,0.42502986135522014,0.4776029009544218,0.9043730587347278,0.405408230162538,0.4289029392913152,0.5772223472625194,0.4432922453017178,0.47346528945170546,0.755154268374712,0.7012954559541664,0.9955391611942896,2.044767418657307,3.039649952238023],[0.5979415714375076,0.41870391907406956,0.3376691572608372,0.3777829168615694,0.32564703694748176,0.3664251553111121,0.2846666617026687,0.2684350505067357,0.25149769770622,0.20512231560477362,0.199780721294491,0.323297310579992,0.21685704050910917,0.22302555945281322,0.3889225838132865,0.31930471943509603,0.3584992125880783,0.4181912446530401,0.5154714647174614,0.4689579171210252,0.5355817944069162,0.6040856100005743,0.7106752759711258,0.8094795770561362,0.6658596987698396,0.5835568374915325,0.4898449422796852,0.4083051576078961,0.3624487227745823,0.3415830616387017,0.4138730003884627,0.3444519114494122,0.490421949691362,0.42605945488323854,0.3505282477253183,0.3762707199167624,0.36698673512496555,0.39312806617151624,0.3875875864296912,0.40642384042431495,0.6209812783369615,0.5387842058183675,0.5008730494066423,0.5538683592576009,1.4392833828876321,1.746736789771721,2.3440885202763795,0.8682344382210049,2.141522042123233,1.8005803782255172,1.6693068709768266,2.1090919742598206,2.3543378704858133,2.3462277577454365,1.4779514773322673,0.9204931521031325,1.8029991592037495,0.87149330794679,1.2300787266885513,1.1517232532330013,0.8895701221774718,0.6384027460599934,0.4809527235773123,0.819276689574982,0.5614075853653816,0.5285752797843948,0.7091035415054686,0.5516929796223208,0.7168659920329973,0.6827258055880159,0.8061412561983745,1.118232703435231,0.9779262527787982,0.7798895365787506,0.5334176891846906,1.177860150538286,0.43917337382932903,0.4414423308825539,0.4021403891009038,0.43918874144602177,0.43182757324126564,0.4885071927194209,1.212277480948843,0.4734720384373722,0.5490293359740316,0.3903095158495626,0.4100155969764116,0.44855431298683884,0.40606973078475667,0.4458562568162632,0.43288985048453194,0.6625703354100488,0.5018820489213615,0.44237373423721305,0.406478310037647,0.5095835444782484,0.4926655305527885,0.4151779311443264,0.40592388576239846,0.640817098517278,0.394685829315002,0.4658427683444833,0.36738679393420987,0.43350414178844143,0.4901585536444487,0.4759669167267254,0.6132073471423177,0.39457170857616713,0.3643111102068268,0.5727766289907898,0.3277692183029743,0.2845609108579173,0.2680846515885797,0.30356053093336405,0.3049678648973842,0.3310998180920662,0.39366200756451714,0.5244645450734976,0.5563685965495521,0.49411511886387,0.4243385665369205,0.3571362873341538,0.37456386440441225,0.3047030540093955,0.2606963785106389,0.29893657785034633,0.3009877315198828,0.2959594039386625,0.27547413370768364,0.34531368553591923,0.2939469925055796,0.3109924344391837,0.33719275171773255,0.4728114863145867,0.3810144945393929,0.4213505832712181,0.6980595138432124,0.44013539768134446,0.6010456424094057,0.43476116631521694,0.7020499484586155,0.6779058185188929,0.5445782501579702,0.45069717104262064,0.350555869219451,0.35071542811688416,0.3144586301320502,0.3258551851332672,0.31908009983940483,0.32978573269977923,0.399850918000486,0.5698949135647435,0.8569883647937843,1.3828199111202546,1.2448716810638087,0.5651944122121558,0.39965643497088116,0.39209741416993826,0.32740265724172346,0.36818612711654014,0.3560722425930166,0.3447442545385949,0.3788535828644878,0.3898848376753726,0.4357750187578635,0.5285352966836913,0.5249507523700385,0.6849312089630979,0.7904647166941752,0.8372920803239006,0.5251229508287529,0.41664582279717166,0.39832946216292053,0.37645299525793186,0.3277348040929468,0.38781848186240636,0.390474040005113,0.5730199523962289,0.38659361710036194,0.42355607331763123,0.3754118762667332,0.3465387857814091,0.34761489976351156,0.3747281563077762,0.44108373095841746,0.629181456342568,0.7554790154041576,1.238422016403834,1.6596639758721325,1.0793162754938026,1.4311425732852643,1.852633550621599,1.2241476378329157,0.869423852582527,0.4824360029141104,0.45014625528761576,0.6291852824037314,0.32952137567599177,0.3537872993999603,0.3741348469680718,0.35101852146393536,0.4087478110632318,0.3532430325359828,0.36186041382669687,0.4226926444801455,0.44297240778923214,0.46614081076749225,0.4455762565823495,0.5129698848000445,0.4758928503771016,0.4960472806493875,0.5480479082138524,0.5960689889120634,0.6719020821046351,0.6666775047828221,0.689591309730822,0.7441046307191453,0.6686464849339827,0.5378176787271977,0.5317462759848411,0.584497146839919,2.169850782977352,0.9030741651608591,1.3671163758934337,0.6104080201235345,0.6156414682076901,0.6809074738415728,0.6868025004210404,0.5845277935829715,0.442045194961289,0.6837070810901357,0.6342553831688976,0.7009043114007666,0.4802299654629764,0.8394836853188574,0.5496342440863454,0.5767556240996282,0.7197196954039271,0.39215746308038385,0.4412596520968181,0.5206305350208236,0.6065777737530207,0.7323855745689333,0.8242685885551625,0.7836872955563272,0.6241472467201222,0.6140737561160473,0.7908084875969833,0.6306085999122453,0.5921505872489016,0.7483409085336477,0.825232612354121,0.6475489570299292,0.6671381917450181,0.773696513648218,0.7386981098727018,0.6292303159991633,0.6580115928335044,0.603460095723271,0.5668092293595433,0.5283481916307132,0.4906837774243803,0.5216646352985918,0.4827961973810059,0.489682384977636,0.44823473461726004,0.4887870258610524,0.42493888639324046,0.4408604160395647,0.5775092642076893,0.5365424855282572,0.5268931718447251,0.5494394806872788,0.8423905388857352,0.730172975750334,0.6445653521439088,0.8279698050817619,1.06217212184113,0.9188798933089835,0.7000908228795297,0.586078171910134,0.5336654256526571,0.801232303705911,0.5777951656691976,0.6165215477806971,0.6572661179874446,0.47242316422156383,0.3752423436374927,0.3502661930111778,0.3377253002116735,0.34342956862661206,0.39743666998950433,0.46210224851060994,0.8660844364695495,0.38051607776713736,0.44498723515837846,0.5762578280608404,0.4232189402247119,0.48339185020572834,0.7716150339437778,0.6854275557791604,1.0093070686013326,1.927805431294918,2.864053810646921],[0.613062015828052,0.3759836021917657,0.3367163087357621,0.37819147287684596,0.3016721060285473,0.33135402261503105,0.2536575032701729,0.24457245315601367,0.21025110746874354,0.1962589476356266,0.19897369375591034,0.318478541421117,0.2133909500227797,0.2502995970568739,0.4121855441830022,0.341400135097097,0.35767700935557145,0.4170205698147748,0.4818826515542685,0.4425071960436718,0.49622299686000915,0.5616262942247416,0.6246426974578604,0.6891116641537144,0.5908009968548624,0.5019816181310011,0.431910573690187,0.39220355770997617,0.3660897882833246,0.3584658935293302,0.4084758146824546,0.36019491927585295,0.478231798772375,0.4116573170647044,0.36582042593183206,0.3726147005661347,0.36897019016734356,0.3779226568755345,0.36135231999312256,0.3803185320336133,0.5967481906816126,0.502635781227665,0.4558052827254161,0.5333392591372828,1.3050200236356015,1.6170797801117636,2.0748360118361964,0.7487222835029173,2.195124365492582,1.8106682390562125,1.6269256536620353,2.1293862720349863,2.4123079484482624,2.483339755719673,1.5369857215288416,0.9510981079862721,1.7936840097149125,0.9348136496653211,1.2747316239567728,1.0015337582829957,0.8144706953347703,0.6133705039273136,0.4443452385768636,0.7971396539969127,0.5176063830255494,0.5039308162458085,0.6872003256053107,0.5671801807504685,0.7015172647746679,0.6968016998889195,0.8611566795677661,1.2146567660805496,1.0626458580675266,0.778838791946925,0.5249252808167543,1.0895152031443305,0.41565976376671204,0.4241265300630396,0.38434087256915384,0.4393155221984931,0.4376600895060566,0.48623538147741197,1.2342056740606866,0.5205935650957845,0.5062868970561276,0.3848367352991576,0.38523912847416053,0.4442744927816501,0.3868609787858221,0.4541787544965809,0.4219957094421807,0.6151278302717637,0.4604967942607843,0.4079870102741991,0.3966964387329752,0.46644566311643604,0.5161862676659847,0.40830571749611844,0.3994445842565703,0.6284286144827694,0.4048326461864538,0.48931156253171926,0.3828222975035897,0.4536492195345551,0.5180462770637005,0.45855392286265545,0.6369400592351502,0.37929636795719157,0.3629120474361794,0.5846562540735522,0.32503443053487224,0.27703474184175275,0.24579992705070736,0.32582877876707794,0.3133069554822909,0.3135752383079739,0.393318904203556,0.56142553275701,0.4653702819586935,0.49875784494048436,0.3912357327880916,0.34213919108738855,0.31856765429765893,0.28257599123222454,0.2514898398524799,0.25278389056579437,0.2833811732647141,0.2919041393841982,0.2652056657112709,0.33647177569157305,0.2879844252080082,0.3217081947717136,0.30659007068485333,0.47719009751185276,0.3513183331852653,0.37113855962237774,0.6472646948919242,0.42215728102494227,0.6104767775065384,0.39845261524127285,0.6565932955585949,0.5542977464842932,0.4859419688385801,0.4180076177043274,0.3252515006169306,0.3354566333022022,0.2963639667166155,0.3227019651454675,0.3200043693388549,0.3300907520078428,0.3979543816311038,0.5742425894963585,0.8588774338407765,1.3458218511825026,1.2324139636861553,0.5709779166431953,0.40861769211342236,0.40217238074189005,0.3439402687741672,0.3905385102520312,0.3373272069022283,0.3324137371855099,0.3440996517364538,0.3454957004303243,0.41305293381086705,0.4555921819277261,0.46043473857189027,0.5602837960131007,0.6549285821371953,0.7342260615681286,0.46695987136608436,0.37545471555808824,0.3779213917545773,0.35725738047164374,0.3127163884444536,0.4000801989067357,0.4010847471210049,0.6243263378090387,0.37919353649615634,0.4414966005633457,0.34764301852146373,0.3357987096763524,0.3236431839911782,0.33087242940819983,0.3962037403667986,0.5705012845697736,0.6947140140450359,1.1778399768031615,1.5595224582213059,0.9833892309753741,1.2553584814070804,1.700875149144325,1.0647878512032987,0.7405656827149553,0.40954626559669094,0.41497523616644644,0.696940714526975,0.31780201344925285,0.325328263328595,0.37782693596982847,0.374883230603539,0.4340917660941326,0.367651634625731,0.36387867732367335,0.44259407575834336,0.4502210189140902,0.45098476696028966,0.4268847871081129,0.5171505549010526,0.4689217419083945,0.47673056079846277,0.5331526202437,0.5868984786408915,0.6745511554798918,0.6287931877848257,0.6435389119187795,0.722729809705744,0.6277657654970175,0.5113795643487173,0.5208519228890961,0.5487781867647803,2.369838744390088,0.8705666250003157,1.3399253748438222,0.6196008614869849,0.6839968180129714,0.7362292897600783,0.773219126490045,0.6229432748254231,0.4695230911360809,0.7286815384150659,0.6497353790854044,0.6818863274137774,0.48380868888434103,0.9011286712063863,0.47614510797310944,0.5471267242863616,0.694950524281778,0.3901521529399188,0.47609229554128896,0.5828896037739146,0.6643744425215122,0.7745507739535511,0.8756827860193025,0.8197346564274111,0.6674132943073734,0.659972030790742,0.8474291063916487,0.6612879155687057,0.63308766183479,0.7822889617528969,0.8380694493877063,0.6564862235338046,0.6944587146761506,0.804009587544389,0.7576453122617332,0.6464025967160268,0.6850125285661957,0.6124447847550086,0.5975925393708116,0.5642495108341317,0.5427359073835608,0.5454821214031459,0.4943397372917947,0.511172625791182,0.4637393114639203,0.48789432746272016,0.42321175364971214,0.4533126338848753,0.5430744294275326,0.520822401396975,0.48788824253176244,0.5532773982167534,0.7812698919700132,0.6867698303714294,0.627454965594271,0.7917604719639726,1.071916112368565,0.8669007479251611,0.6685065619622946,0.5653633207953817,0.5399082274945901,0.7974109504791211,0.5717924670065819,0.5677634117801658,0.6186153484546515,0.43742405658291267,0.35777372006532737,0.33106619032394285,0.32054018450463717,0.34662698110992296,0.42443718826241417,0.5194540728798478,0.8912641554827936,0.38988419994812196,0.4866500166741999,0.6383443722987645,0.44298858994911244,0.4916682850130407,0.8367267688663625,0.761411573919045,1.052667136832829,2.07362012595971,3.0637425415895296],[0.6387197835356796,0.42929018487388615,0.44959719001705417,0.43070125513560176,0.3574221541380905,0.43881103465881277,0.33822061684965227,0.3801752016398913,0.3328699591013086,0.28963463159194286,0.31489731696514073,0.4500324044217328,0.31929641195360464,0.3673620573830476,0.5085182020131336,0.4458049732704691,0.47034300866561796,0.5638856293991511,0.6628277139890022,0.5904009404352747,0.7085896442183109,0.7395691689859945,0.8166053717771599,0.9050515085139896,0.6939291422147819,0.6625436244517424,0.5593025460228561,0.5038101970980862,0.477282653678658,0.4410834275863994,0.5489258658964403,0.45578331034494274,0.6002077010502027,0.5477980656886227,0.4785193184755081,0.48818709827272655,0.45398974613510185,0.48750024023383315,0.4834841516152116,0.47692389618232317,0.6426528907738325,0.6344059205191761,0.5964880514801574,0.6012761558008992,1.4676851444908452,1.7351915643268703,2.3293597219913083,0.9017103753416094,2.185209324678933,1.6843608621600852,1.6820972651765471,2.0580370510191863,2.3604015760609065,2.3877871690172414,1.6306482728692115,1.0237207618419284,1.784387912164893,1.0931513728301412,1.2808366542340626,1.0157604906317503,0.9224836391392964,0.7292776482161052,0.6150558915036761,1.0144831302369222,0.7014648438241929,0.6509715300420827,0.8760738390464514,0.739626955344685,0.9112570432908862,0.8311047265841807,1.0520938045705772,1.3956886186385202,1.1855449590555038,1.0361034749751434,0.680932683865732,1.2517991408196283,0.5775477908784248,0.5806051523765198,0.5324309599615105,0.5635120314240061,0.5409438087548935,0.5822390061382499,1.2478561239608699,0.596795109402795,0.5855238346370785,0.4675026226286325,0.4934925162855709,0.516945732379206,0.5193485592398166,0.5536663717825134,0.5783713735518663,0.7768107852808048,0.6146812986182936,0.552810585756201,0.5237644905972678,0.6074022728034459,0.6343195280427539,0.5105260925067062,0.5032200530867598,0.7708314837297161,0.5045568771988014,0.5914007552656151,0.46881115440004406,0.5432916657833529,0.6196753454737951,0.5357806589177951,0.7353173466569749,0.46460333616190674,0.45213693234954505,0.6553778773047584,0.42322308086514965,0.34683303472696003,0.3154604845314779,0.37942635786226026,0.39166408049654683,0.41498542407224875,0.4969770428741008,0.6364294895061182,0.6966094466266249,0.6526847284397803,0.5737363721311546,0.49691919446142435,0.471596904274794,0.36429897775061815,0.28538683376297824,0.3012649815033364,0.3562245717480423,0.3577395213577566,0.34220745129769686,0.39117864455279744,0.350868742133349,0.38575485675432963,0.3678416666098972,0.5179343499561104,0.399129847216354,0.41534740244765184,0.6813545025405293,0.45292541594846053,0.6303134314608676,0.4770506196523816,0.7424934784316004,0.7173895136889168,0.6127239507294608,0.5046285719491168,0.4438178194676745,0.4522553542419861,0.40194906607467823,0.40024149337293236,0.3823154149461295,0.3823093060687923,0.4842491107398835,0.6396288831355594,0.9901391434514824,1.5691766191254612,1.3026823335706312,0.6937508069391545,0.5130840907002528,0.504044970715766,0.43713476218968766,0.45269805720488693,0.40762149539749964,0.40783029103558144,0.43243641969061614,0.4287981636503911,0.49333661066364076,0.535733655088819,0.5248612938866793,0.6345414649513783,0.7012599765226278,0.7857928243915269,0.5190785674768768,0.44386659722849786,0.4456744637666322,0.4200511586424057,0.3877719209366127,0.4640350862429036,0.46783401025464066,0.6871006142626429,0.4457403153244795,0.5221333981300837,0.39878735994463776,0.3917292366231527,0.37863488576501936,0.39399890951269306,0.45053554350612174,0.629850402942098,0.7539676593329465,1.2795118255108868,1.5684319268061133,1.0208023434361566,1.3282113257747155,1.7636216399445603,1.109609437822455,0.7792606675501932,0.46162299023224973,0.4682775179259568,0.7209247250172554,0.39074145483619205,0.3944249202969412,0.4566794913734993,0.4791866628934819,0.5578834362006071,0.4696832521141365,0.462857317187527,0.5662541611482236,0.5704118656861039,0.5320376240718913,0.5459130774778941,0.6606218933526506,0.6044316521890248,0.6063191075309081,0.6815670502199647,0.7336093229897034,0.7674082885118869,0.7416973498830247,0.7422153151790314,0.8248900535645188,0.7280840828811149,0.6211776239595543,0.6640301991912103,0.6795974292362325,2.455635103606188,0.941913413198946,1.364846742885339,0.7121339716857895,0.8006474211019108,0.8454252328143684,0.8625302842385894,0.7379853954528613,0.5824402543808187,0.8019411401088871,0.7128208318059737,0.750023530781911,0.5538812016364819,0.9226725062820471,0.5305948507986344,0.5976510289930403,0.7381208118378876,0.4678343653138186,0.5623880745137262,0.6520284920255657,0.7470300372693991,0.8669817788092108,1.0197716324885195,0.9321674919658656,0.7771449577445075,0.8213912290750308,0.9949791042167236,0.8055915093002987,0.7727741350235265,0.9533659164230552,1.0016275226161275,0.8147924058968106,0.869102863178584,0.9986574502453682,0.9296198916428488,0.8116053927632754,0.8604926657927181,0.7721789586505934,0.756554195357214,0.7188915896241016,0.6943059873450552,0.6965963770763762,0.6373049963752667,0.6479515557249403,0.6018166022482174,0.6122957248189016,0.5319600882798655,0.5566736529561651,0.6512426754562938,0.6103227846617475,0.5652924621246477,0.6290039388176241,0.8538865381594459,0.744846130794997,0.6824579770718515,0.8323087780449592,1.0826302348224404,0.9700575565730705,0.7347261780560506,0.6438138643121762,0.6144059661834724,0.8421574885511078,0.6237909357696942,0.6254054733516433,0.6596712576754633,0.49747701900746266,0.40944469133538036,0.3941107515177986,0.37849099868532643,0.4284661594778199,0.5491884271096136,0.6751478554041496,0.9724722791839302,0.5189398786076317,0.6640278314851751,0.8134882732349801,0.5782278397820818,0.6412723470614042,0.9906590282794953,0.9555804457124863,1.2864204558073358,2.1043472767181473,3.376954641433058],[0.5954480539561643,0.415818144365704,0.3797819166653324,0.4158090797058488,0.34919534951774794,0.39015487125546866,0.3033664079963687,0.2997828188514555,0.27367193019162794,0.262375296937446,0.29004816311319376,0.4058942702434103,0.2857552954857299,0.291465612749097,0.45442228255481615,0.40611496411729464,0.41006165225961605,0.4948075347624838,0.6008027163947581,0.5409950510646487,0.6448440262838132,0.6853400356466748,0.8064643399071034,0.9105445959337131,0.68670998001646,0.643026899830162,0.5226716826299399,0.45758596418258707,0.42205126907689944,0.40752406016643494,0.5094123070661699,0.43623846397740373,0.6047955013920688,0.5397311043723689,0.4560127996625373,0.4550246167066031,0.4291647835593953,0.44634738833221727,0.432350662610885,0.4344915151848026,0.6017773257936219,0.5954104908024676,0.5615600095496661,0.5509268772268633,1.4563679127705067,1.7550605141553757,2.396269285236795,0.9103455856055478,2.1538989798936634,1.7040997498923476,1.6528178589277112,2.049612057286714,2.299070222446427,2.2988265657315248,1.5270309119884566,0.9463799040250352,1.7521808179483234,0.9905440250503005,1.2555550527046422,1.059508112920559,0.9063881304482947,0.7014885509204274,0.5769762651087679,0.9839879233920886,0.6673469405815938,0.6103210174095424,0.8192709602082417,0.668794120955248,0.8509634137401252,0.741116135689088,0.9487321663540306,1.287782326260967,1.112121797903563,0.9793388173891082,0.6271573090908212,1.2652664822352149,0.540441625045869,0.5515220875562581,0.5031645328345974,0.5308260388504702,0.5134973242197571,0.5392892573839653,1.2457404063289386,0.5462965960402177,0.5471701558142572,0.42586564863058507,0.452004133865537,0.4985032907711689,0.49411015968727606,0.5427329748446079,0.5487572565745411,0.7530168682343388,0.5898013903330773,0.5463456463729237,0.5033403782459343,0.6026461751246409,0.5956069219239806,0.5149288020672911,0.491760826466559,0.7306655280411827,0.4778929744117465,0.5339080658663239,0.42713513827967436,0.48023428755411746,0.534765529736077,0.47728686845595436,0.6607518718964567,0.40531508894197044,0.4032755285370517,0.5948472912143132,0.35991580661842243,0.3062884076062699,0.2848128062268355,0.34646419023962216,0.3665843371860858,0.3857454720100156,0.44739778873164565,0.552781553642689,0.626643255900136,0.5597311496099586,0.49503256157751696,0.4271674592902657,0.421850103627635,0.36009322703856655,0.30041791307372834,0.31385150367133596,0.32743753416684346,0.32586019613829104,0.3028850011824448,0.35748971101025895,0.3201317736161808,0.34090145287102913,0.34573570277842075,0.4869472876875212,0.37710572131282016,0.4045463922457703,0.6857164993871923,0.43873211802727335,0.6021536528112514,0.46553939814572926,0.7397841140788127,0.7354594032249243,0.6054397529325058,0.5013082194381346,0.4076906623636094,0.40349607272786364,0.3548000369743433,0.352280817304628,0.33880434131723897,0.34527176243395946,0.4153403017681924,0.5722201684668136,0.9358409259162344,1.5203197550082501,1.251866920947352,0.6241767087117471,0.45580771466706244,0.4304503145044042,0.3764586788822238,0.4021860736478214,0.3651915551397535,0.3732876331699524,0.3955644033809122,0.39856136988775914,0.4534169907333836,0.5367558334077435,0.5098690846170739,0.6625095546649338,0.7485453900441422,0.8067291508008986,0.5081199772149512,0.41821296835599825,0.40081483367641335,0.38260674248681226,0.34836800517090283,0.42526373562363057,0.4317481552232901,0.6581237431836279,0.4134080008408262,0.46971910655067634,0.37964807776637943,0.34814619122708274,0.3420839474469176,0.35549174532250105,0.42717286576296126,0.6183978688107855,0.752962826712938,1.2775807530443894,1.639660337891221,1.0503707850057116,1.3885032765129828,1.8030263465944667,1.1599905597382414,0.8172231440274302,0.4667198355795184,0.45705031062481494,0.6597881205307959,0.35153284829413733,0.3778073666805643,0.39728993726436385,0.39527743642523927,0.4558401640376289,0.3908201348230553,0.41001729366951084,0.47501868653066326,0.4873177444395068,0.49870880195568934,0.48644924048314064,0.5613767496025384,0.5237221394266116,0.5438078181893027,0.6064863351321691,0.6476764040097881,0.7134972651378222,0.6992189405496889,0.7124454049431045,0.7809724592223557,0.7200202362947269,0.5722933214805224,0.5919357873642699,0.6331983277632451,2.3049756490485596,0.9251798995429206,1.383715860939013,0.654713150803332,0.6957290859801668,0.75303199876308,0.7598348978159536,0.6579446148742603,0.5002369947234057,0.7501591340769291,0.6396973825383084,0.7099330845008126,0.510063569863189,0.8805153096626442,0.5539019052116697,0.6018043295179393,0.7164479701262035,0.42718896103277715,0.47995262292929586,0.5698810581359961,0.6602804615603486,0.7785252192176748,0.9165332978664814,0.8348307491357569,0.6757284553019626,0.6898745963812188,0.8815894807553272,0.6853717843946937,0.651802892297187,0.8370135618086201,0.8997524460480643,0.7124959462176641,0.7572525204737376,0.8814767362567517,0.8218957126099818,0.7139725842676743,0.7580148834202319,0.6738072696234133,0.6457052843923099,0.5979696189979978,0.5732389993009481,0.5963019776292878,0.5443303279534563,0.5551669778376321,0.5170961102489108,0.5415302146324662,0.4757719081656426,0.5006438403054665,0.6305034733046119,0.5841503929382689,0.5571227898456418,0.5898168120492526,0.8759061465096091,0.7430478933968709,0.6823059954777216,0.8609888363369407,1.074127368283695,1.0135871151299782,0.7432550190563793,0.6239495986524405,0.5676056911183088,0.8411673042958258,0.636317872012369,0.6734171867530411,0.6965476947842942,0.5250798196776749,0.414792052492773,0.3766449076870543,0.3601008120468156,0.37998942425154114,0.4458091336584098,0.5399034023255366,0.8903390870863324,0.4249381925370872,0.5401434877181295,0.6696666866945985,0.4686939791920227,0.5346734107546834,0.8597600531041321,0.8011768514798842,1.1602914056522793,1.9319411284215247,3.155854995244114],[0.598794996137298,0.4147076906400357,0.38957191954716963,0.40941259282715564,0.37182215196138957,0.39871550398823924,0.3074847987770956,0.3437794518287795,0.3204433597715768,0.3040913596570116,0.3716911622926797,0.4706767544895573,0.36186400314911826,0.36449019646603326,0.509105821376062,0.446175239973942,0.44396253084533605,0.5194249389345248,0.5924766345689081,0.5500941128281553,0.6118788840575564,0.6511690547186375,0.7547810290564932,0.8183786372293081,0.6911808496851582,0.620576835705042,0.5298844093203601,0.4813016462197469,0.4595073201648872,0.44262619698101296,0.5507953149552568,0.4775188341900673,0.6089800927007846,0.5626502838694392,0.49288958382744436,0.4940778331888419,0.4668847625515385,0.4749301458555571,0.44351600130524216,0.4587013104030596,0.6414401381117185,0.5895305708734794,0.5502876147512485,0.5723763587614751,1.3790077948521442,1.7130578715819227,2.1904770367154245,0.8147107090830833,2.221442492699648,1.8774563151785209,1.667502524503678,2.1634159918982108,2.4272834335285283,2.4749213343033127,1.5780585031380043,1.0009058136033577,1.8058892828073907,0.9881899212324072,1.3165608383143832,1.0504197711861782,0.8894636522055647,0.7090958817783505,0.5903652274482353,0.9262699312976252,0.6055261112683122,0.6019658201273932,0.7921551761116096,0.6715553613653289,0.799025726097675,0.7688669659907804,0.9308106697010103,1.281482647907985,1.1388124781053606,0.9133184117114678,0.6509836210766042,1.2266400443611714,0.5573995632867029,0.5865083677713883,0.5343456068377425,0.5452227714435914,0.5251704067923305,0.570679276568984,1.2872896011955524,0.5921303512569648,0.5622128229977309,0.47464739008156626,0.4867220774898729,0.5260858497227833,0.5080274342146357,0.5705085093818545,0.5785288403082316,0.7662188688176436,0.6286974934270612,0.5791582975388863,0.5582126872896549,0.6298915065473111,0.6521442378768775,0.5440913457587292,0.5138387661855157,0.7018388864067455,0.4946428623954767,0.5538039700646836,0.44804194098119327,0.49714936168804263,0.5399987566128603,0.49904777238719306,0.6840840603388998,0.4526998561571653,0.45710511213598304,0.5935816850425398,0.40049363791133047,0.3491976079280815,0.3316478559101377,0.3356339107152758,0.37677776663243523,0.40269346975380077,0.4862032063075083,0.5832386739504958,0.5480000719010318,0.5571639704766738,0.47219032136938366,0.42078800867683486,0.4068555716349739,0.374478120651627,0.3255580764477809,0.3601443699162687,0.4088670234409895,0.33277062948648933,0.34112637306122373,0.3952976038695428,0.34631895518484385,0.3898893452085518,0.36163008180910877,0.5022965914539526,0.40164859199362957,0.4278519542969696,0.7159427730347107,0.4336435780728852,0.5984081752528595,0.435301823821348,0.6822710192814788,0.6494858220936205,0.5723484765057979,0.4983908904470824,0.4109627370260504,0.4186229934439013,0.3765407889968095,0.39516322626827205,0.3745343052066386,0.39586532714183476,0.44894301990132734,0.5773704262704115,0.9892973097189546,1.495574608588566,1.2113760886932654,0.6131763674723999,0.4600801333043667,0.45262753021642016,0.410209615250362,0.44715578411796286,0.3909017234166535,0.41490781613727995,0.40692827775415946,0.40342402375260916,0.45093558251066324,0.529867704613725,0.5146389192752938,0.6875166349295445,0.7946016823147888,0.8358806855010482,0.5331956751663304,0.42202662097880467,0.4113822409938164,0.40190540888076076,0.3835642148800403,0.46304541617298944,0.45888456262339344,0.66773987658035,0.44860528236548614,0.4914169048557039,0.39053727489826223,0.39101883681573124,0.37787793722514,0.3959049250032685,0.4462700170641686,0.6386556412421421,0.782280037035253,1.1904382372496953,1.6516470888926051,1.0370627047670455,1.2979068171127712,1.6857296242409416,1.0998257517881038,0.799580923593126,0.4517595487586478,0.44823122421472283,0.6722164715846642,0.37145263106092197,0.39959627052416946,0.4196339633054758,0.42900249104456833,0.48407530301282675,0.42629905125734374,0.43556113718682965,0.497807442120026,0.5031407162173015,0.4970625427003222,0.5023049882626857,0.5877140218199391,0.543095091329769,0.5756345587160224,0.6367460749006566,0.665070187196323,0.739040992452099,0.7282254046618135,0.723682846665734,0.8061984989038293,0.7296181695174434,0.604827185013264,0.630189935672808,0.6396956553381422,2.280157656339448,0.919799738057279,1.4390335515761012,0.6868424724946204,0.6973725935782138,0.7488909201539898,0.7490004920165384,0.6803104437166222,0.5184078251891887,0.7450157813448443,0.6562003138478906,0.7920011298121248,0.57288947785479,0.8829306857868832,0.6045670620726256,0.6222428776003531,0.7184757947412964,0.46058966130223833,0.48856882032118115,0.5580442116538825,0.6649519832499843,0.7568531277378654,0.9208830467452149,0.8048666880040636,0.6584703448484199,0.6990325104152968,0.8711545886529894,0.6944996739225135,0.6551312859541768,0.8420998070417055,0.9049414789295591,0.7219855405669187,0.7638520665980095,0.8719901614369595,0.822537585334808,0.7300427617599337,0.7724202472468554,0.7040382755947417,0.6707401637961838,0.6131818880906659,0.5872760119610108,0.629154327565355,0.5762026944660164,0.5835774491376898,0.5596985434784072,0.588864455671227,0.5002206956997468,0.5141873554278509,0.6546836255488961,0.6009497167414208,0.5686165468944658,0.6159387074781306,0.8774930532141045,0.7479374609990727,0.6947093472696322,0.8308199457061851,1.0493519770271322,1.0125426664491084,0.7551750654447715,0.6290858488444737,0.5923319808292213,0.8437981601993265,0.6564087989840969,0.6846629312855304,0.7140218470105414,0.5385261397645795,0.43657847608387484,0.4120493365742381,0.393602631809393,0.41180371567566526,0.4527470945433473,0.5299120442490202,0.8470719391328614,0.4340577727750306,0.5725700780818316,0.6581101289367016,0.4661680937240368,0.5608316419410349,0.8692752579932257,0.7761301304098893,1.1225330644866949,1.7587617293518245,2.8079080063590123],[0.5783687273133901,0.38714878690627996,0.38542781452962216,0.38146160051099587,0.3349759183588628,0.365074917632279,0.27381603746267924,0.30547571858739847,0.27737147428425063,0.3166518401580709,0.399823043079334,0.5044058870633569,0.40603329099636604,0.39462015318229643,0.5860410957401111,0.5250091164678284,0.4948034478012797,0.5843819992874686,0.6427191225253412,0.6033835942078897,0.703454447841524,0.7235599112279396,0.8135338800792226,0.86574970284478,0.7021243925897739,0.6564704407833035,0.5604599708387729,0.5249531052384511,0.5172820130621136,0.5033156420333199,0.6195557312213192,0.5438413165942886,0.6887508453649407,0.6514267871749876,0.5690858260705878,0.5581503681301796,0.5136438520477833,0.5306767643994729,0.49229006549736487,0.5068374296978277,0.6526084715942178,0.6207242554756218,0.5998025587918534,0.6029905031279148,1.3853235163740556,1.686341875002314,2.197916111369466,0.824887863088529,2.2146591399905615,1.800369060095965,1.6706993719463696,2.16269418086281,2.4613510958097895,2.519595211512648,1.6767351090942517,1.0830559206801638,1.8349575141746524,1.1316635119705298,1.3175521913028498,1.0237112592253286,0.9328524517237933,0.7720136130397522,0.6701757293860195,1.049076168280093,0.7133201768775244,0.6813204829772833,0.8753087482782833,0.7659481622434863,0.8945717115146635,0.845904245013378,1.0158455412908418,1.3951650598580143,1.210527156397764,1.048998082426709,0.7284298374206659,1.3031278460287437,0.641924292232346,0.674750518235211,0.6102169603871972,0.6102681615051517,0.5899988295757425,0.6233143106904182,1.3016774609036577,0.6605103886336957,0.5991811075544644,0.5212298868591891,0.549164866136063,0.5777268736319187,0.5831296810876622,0.6563236125556144,0.6626467013395018,0.8358594279824385,0.6996412605206319,0.6695999594653989,0.6329623674032304,0.7169983303486005,0.747242285402435,0.6124966315347761,0.5769095741048961,0.7725520212332992,0.567396060261626,0.6179111955390831,0.5158392402306076,0.5356848599960224,0.5960109874509361,0.5144463589130064,0.7309102623503031,0.4593149099426457,0.4676072682733183,0.6132125972015993,0.4008930558417662,0.3389781615959283,0.3173087562890772,0.34107713002270623,0.3934691570280088,0.41934111877480545,0.4978091770095072,0.6076438254196831,0.6008949989820398,0.5977265469785126,0.5087619339649062,0.4499411682946232,0.4222983781443754,0.3788303686721479,0.31878821427847764,0.32562836034855236,0.40433101126994764,0.3357151007956138,0.3314248750034504,0.40478020730929576,0.34271939281079355,0.4112124351532484,0.363898555202136,0.5436359513832644,0.39661801918642114,0.4149273861399548,0.696004272198134,0.41209764396648224,0.5892531019318873,0.4311944121759116,0.6950334549774705,0.6674313350480915,0.5935300764196846,0.504260379629422,0.43887026838606585,0.45939730425917924,0.4014578483706359,0.4285991206915372,0.39524240197113686,0.4124973595365372,0.44155450908861965,0.561079476482271,1.0212682309259218,1.5337621100043854,1.182199909166412,0.653885107163256,0.500656915624386,0.4764461115797727,0.45375920660708025,0.4833365075867425,0.3961481154678181,0.44334734837420864,0.424020296625112,0.4319160403828929,0.4735280645959545,0.5058043680903374,0.5000060029801504,0.6481383464702524,0.7479198145209762,0.7915995300346506,0.5022125481770932,0.407634486163734,0.4215670381604123,0.42438847603910845,0.41342199671123697,0.4920558317554652,0.4986394061851686,0.7194964038995396,0.4916730624607092,0.5348731072437181,0.41666878581752764,0.40474842364774744,0.3937929160113968,0.40284471433828717,0.44239998850226,0.620122182400076,0.7573004145110084,1.2086228047607537,1.6308699818972385,1.034622557565108,1.259580554479543,1.6031444379265076,1.02993727763596,0.7494635122446853,0.435951307038469,0.44241116582889817,0.6899090313368182,0.3788170625611267,0.3794879514549238,0.4271214734514983,0.4460185608538073,0.5041682868574449,0.4335852534567492,0.4421478510649599,0.519933634517806,0.5129275464635916,0.5008643453100533,0.5185719127379743,0.6063967679760646,0.5493066992057937,0.5922885496110255,0.6673659768814243,0.6787424280552312,0.7531861192027665,0.7667169332904229,0.7531892571495357,0.8626566710555155,0.7932424937482538,0.6440632284644175,0.684495321599396,0.699482350743189,2.390024261537377,0.9942676724102649,1.4772624353326071,0.7173874220224183,0.7435449119224955,0.7851460149505305,0.7958663555340788,0.7272090221418123,0.5587194532331632,0.7782618333674688,0.6640477339594074,0.8196273498420827,0.5867982423514965,0.8981162874265584,0.5825473902122824,0.6150904213200483,0.6989380568186867,0.45172961344087187,0.5293470983031437,0.5912606641313524,0.688515924376924,0.7934650997732878,0.9799059193650765,0.856499419616935,0.6940585926370835,0.7571448650973713,0.9391179328696588,0.7311867307016678,0.690873913756439,0.8980395979676502,0.9418963165817655,0.7444540197674006,0.8290313022119731,0.9525256604958642,0.8626001619017649,0.7700770247566177,0.8339968796443594,0.7503483331136016,0.731015764688739,0.6714588348167921,0.6491408324056047,0.7014775598554512,0.6117741286938093,0.6277886468941226,0.6107028699134777,0.6293114559373794,0.5263233468465323,0.5554610314151912,0.6852819568768261,0.6271586261000816,0.5659464531967012,0.6375160119338192,0.9021733509492088,0.7628511069575851,0.7189936509080382,0.8323161223312944,1.0262196372870893,1.1002590247719326,0.7915825923033576,0.6606239019728307,0.6157499024407105,0.8549128937247793,0.6702082251576645,0.6929725833799315,0.699454937419166,0.5329987294464464,0.41954337623014726,0.39299136257802336,0.37152481348712885,0.39976185882694465,0.471282228172125,0.5674378564330774,0.8508920690054024,0.435404831566479,0.6065602608870148,0.6726560919625137,0.4503328892289152,0.5566598358001895,0.8866141539393644,0.8000462187601423,1.1699672979757958,1.6298078378855223,2.8479703059727326],[0.7249844429087262,0.5464208894665893,0.5289621865552343,0.49711619102140486,0.4309931638301666,0.43124716056443896,0.35453847415549883,0.41624681778388256,0.35367537195531823,0.35181848136456534,0.44059210219405326,0.5536452941911241,0.46013770848713953,0.40655474586338436,0.6560973850401012,0.5901871931924956,0.5270794280840729,0.6165182697502793,0.6534703863853585,0.6251741945681261,0.7049161986195468,0.7368853723498844,0.7773185499071574,0.8125810311619835,0.6881078570241472,0.632536393378937,0.5571747062567097,0.528186105327645,0.5512528164364098,0.5582937134437069,0.692309197496696,0.6479487476979464,0.7711780192405054,0.7619150039052326,0.6756290888638092,0.6226301432848742,0.5939108686763034,0.581228891034163,0.5302554225457397,0.5552595016196218,0.6944821582067051,0.6377210366445725,0.6309396657393738,0.6837584530460554,1.3441466134574755,1.6788901484800018,2.051517832727672,0.8223825763849942,2.3248102884169506,1.9490123293445958,1.7098150201326632,2.245098623923727,2.5883651977087685,2.6832407131430545,1.7863600952299148,1.1661161848229722,1.8613413951455235,1.2261523805343737,1.3817961882204886,0.9950014287692851,0.9285973304145935,0.8344806269866872,0.7493070585940663,1.100499185344764,0.7191685670800329,0.7067814438730503,0.9062307538544337,0.808747819898567,0.8968391616311024,0.8820313958814241,1.0344987301740285,1.45710996012651,1.295643568956311,1.0883260159279156,0.8077736092329674,1.3714148846170422,0.7229408115489957,0.7761213180144375,0.7001319637305267,0.6723175661977838,0.6677976224635873,0.6995330513658262,1.3515716399534663,0.7665852152190545,0.6331918264821509,0.595471219185897,0.6074300960289458,0.6586002999313967,0.640289686968903,0.7642080217863118,0.7477938392364751,0.934759114972672,0.8092285914075524,0.8001502977536644,0.744036100700645,0.8309443339491813,0.8515401091027844,0.7128235757808726,0.680410391890686,0.8378098932937,0.664687592769686,0.7216858459440665,0.6163053027172909,0.6000084801179315,0.6616602820251373,0.5830310558511638,0.8343224791044982,0.5879613261397784,0.6006507975940726,0.7124997732529811,0.5073592649307235,0.43658132661166826,0.4053339554370133,0.4071130359252689,0.4247630227200821,0.4405020813518072,0.5179364594117941,0.6113686912748022,0.5468432991664113,0.5954924107733576,0.49941373452497445,0.4425594554433484,0.40481554112977536,0.3899655887092413,0.3802090523001062,0.400780889257122,0.5238809463444047,0.43018170626872626,0.4370402236863449,0.5053996945859499,0.4704336388778851,0.54268032493594,0.45375791348426525,0.6274143947418316,0.4691776257998555,0.466070466860676,0.7255875089810312,0.4655985166889938,0.603956717133908,0.4729167084547571,0.6960829609624762,0.6005298571711385,0.5881699151337404,0.5105639955552852,0.45027000328175865,0.4823444375490281,0.42497146286283705,0.469686552959827,0.45383557185308565,0.4793662660965093,0.5092664535606751,0.5813070234958748,1.078627798778097,1.4586143520196007,1.1057062051581463,0.7132928942894684,0.572069215724461,0.5565922530181959,0.5173169315127502,0.5742331057749427,0.452980606480208,0.4896724448665759,0.4455419065350752,0.4627470630619985,0.49141719671163486,0.5277847394897524,0.4994627470127777,0.6227007722243102,0.7241534156774012,0.7474347971094519,0.5245760272433768,0.4525182397758916,0.4725722604854264,0.48016529488842713,0.4794455730154966,0.5453809374859844,0.5473519887589547,0.8151020123581879,0.5525865852093358,0.5951163211628652,0.4883164392696461,0.4865897644266837,0.48106538385453884,0.47603475793504696,0.4935601871713521,0.6350183955821943,0.7675030790331889,1.1487621894597457,1.5836830883201776,1.0486314605438654,1.1532251571164864,1.4504635369092758,0.9325711304461756,0.7245588297111816,0.4951337061052326,0.5627450662486031,0.7864770447154577,0.5215279525038774,0.5215890755679016,0.5578350315641768,0.5997705404515582,0.6506345155292417,0.5694929848000692,0.5838982961901023,0.6669245509854242,0.6437862633391133,0.6276805209300799,0.6760550313294745,0.7459153151771166,0.6946354539586777,0.7542927959413548,0.8286824140119966,0.8132999298122963,0.8956367049321657,0.9358869581494325,0.9078193863025908,1.0313022555211753,0.9432267079258625,0.8224804927633544,0.868977627649361,0.8783877535134142,2.5577101272071547,1.1072511981356294,1.5269086386284152,0.8474124328217223,0.8875645278761867,0.938115788182319,0.9246267047289277,0.8856495454511908,0.7240484423561997,0.9061195683751747,0.7971049531269824,0.9478599110713126,0.737555275105594,0.9838615039600311,0.6741923135138124,0.744957794573664,0.7611433027146388,0.5925547791374939,0.6392007483599467,0.7027597545122698,0.8181033394179382,0.8897804636180879,1.1210379359603722,0.9685913768414934,0.8140877656722973,0.9035077647228721,1.0544249172150046,0.8589773616249078,0.8098972942424665,1.0030919986528795,1.0204986268193588,0.8536097019954991,0.9599441525261725,1.0743577892065148,0.963532050668703,0.9155284568715468,0.984479494513172,0.9032697856171011,0.8880129590076552,0.827514253963936,0.819558853744501,0.8723962791242741,0.7700223185683689,0.7853428720401842,0.7883536187042834,0.7915809014904749,0.6789485652896097,0.7170594715864363,0.8320786524795022,0.7737649222180449,0.7012691754795191,0.7918062056848777,1.0411997622315894,0.8728653627097183,0.8414874753112667,0.9296630467083811,1.0814134521324192,1.2550613929460905,0.904957829823354,0.7843296178801247,0.7664951351593605,0.9798078488213567,0.8112740384016259,0.8102281219703339,0.8056230196227506,0.659117520356209,0.5346197296394065,0.5101765063219469,0.4729462576619959,0.5095859583401143,0.575610540605472,0.6647195347817224,0.8358439785893907,0.534816469098753,0.7208268400839787,0.7240737085658244,0.5194831823612086,0.6146602891832412,0.8929693417759331,0.8417878722577723,1.1173320648100302,1.3909371249202462,2.488423524404025],[0.6001494317461185,0.4939874235309746,0.5136906184923931,0.49846976716374947,0.43706803657227294,0.4440014734799404,0.37119517718415573,0.43012228246915984,0.38272849150076127,0.373245449291606,0.4415457340094662,0.5402370587078907,0.44921323454852663,0.4126522802071186,0.6059106159978719,0.5535666542331084,0.513785337912045,0.5866106736048653,0.6351647448365629,0.5928271366014891,0.6881853010244721,0.7114516455034315,0.7892037312514778,0.8680425179504501,0.7072040227697379,0.6562312172047148,0.5555965272499972,0.5138260276134305,0.5246335719391966,0.5244223783976282,0.6340842412750235,0.5967307349564432,0.7118314427601035,0.6853952547989606,0.607632934310596,0.5768879598792909,0.5567724847871588,0.5380998038562034,0.5170160488735727,0.538569812735603,0.6866667523426833,0.6164382190286308,0.6045422012138234,0.6350254918797029,1.4101960517264949,1.7238205952365362,2.1968084316889067,0.8340077244411586,2.2416429156927267,1.9161597156082721,1.7275235824897917,2.216729119714162,2.5488151749926633,2.612949738360075,1.726571292470696,1.1170924168323724,1.8778853049014452,1.1633537254862172,1.321915223458475,1.0409350275378384,0.9397532326882844,0.7860513809146239,0.6841035217098703,1.0387902594176208,0.6955564452858857,0.6734984370597151,0.8616805879773045,0.7489237975140847,0.8688176905468734,0.8314744408704582,0.974787489211114,1.3625177182949788,1.1779216014509286,1.030229303658623,0.7269399700224713,1.3381939384133443,0.654269841162982,0.6920578404324647,0.6271744828161756,0.6258358758984126,0.6315998288894934,0.6597566724509578,1.325067992617898,0.7233877885055323,0.65073578946478,0.578134354287062,0.5659249881610988,0.617508841562385,0.5919888214533764,0.6839202760084809,0.6774283937894626,0.8521599702457512,0.7245967109198655,0.710699705394449,0.6627425289534974,0.7412540479269016,0.7613816840590903,0.6499407246295615,0.6285523296456782,0.8106081785891881,0.6234053429413865,0.6956418952913752,0.5959045681729219,0.5986124734575887,0.6349901933359726,0.5649293822976716,0.7888328195877131,0.5561200365044917,0.5770085676552924,0.6547779448730826,0.488937868133574,0.4182789507539393,0.41104216909685953,0.39672019337179115,0.41594551459634427,0.4300609265672164,0.49452341832688707,0.6239586389484948,0.5762953979250833,0.5843853657583562,0.4941408448623487,0.4356834159902112,0.41506584763201954,0.3906753095084417,0.37199811585982967,0.4175755374917404,0.534214321301531,0.43557291027848805,0.4391051134398382,0.46999350987502103,0.4448359177461197,0.48714642121509333,0.4445816825575546,0.6018864830103791,0.4950752524743189,0.5148174936013595,0.7842047783985255,0.47644218757556617,0.5814170994169021,0.44754648371582034,0.6840264803856515,0.675899559409683,0.5815543895844234,0.472235359190188,0.44092142604337037,0.4816285838090402,0.42374812699584186,0.4633423551452538,0.45566063507051113,0.4798155972277088,0.5074334803581554,0.5908215765461726,1.0644915744775787,1.48735000295745,1.1268439328400373,0.6999943823791044,0.5574374207176439,0.5424399838587696,0.5084574156499925,0.5718537120618103,0.4752275505540928,0.48157329846067487,0.46002570253431185,0.47039805344552205,0.492315490458764,0.5852448821065055,0.5722989616348371,0.7142853452334545,0.8395600872872463,0.8450140616883617,0.5815552574246206,0.4824928660371211,0.48317625986822466,0.49328299752152377,0.4734612741972527,0.5389331069426018,0.5418036751748229,0.7917558876949917,0.5373185172065107,0.5978981065420395,0.4797387916715695,0.48739915260180156,0.4828564383029498,0.48789833225311574,0.5132393733196045,0.6289111006885493,0.758354612119587,1.16603114843661,1.6401491020741745,1.061327614242964,1.2391890493288105,1.5495448859188696,1.0492385568343303,0.816972890396647,0.533085780386226,0.5404843804036117,0.740677814702517,0.5055910908582278,0.5158308815471013,0.5369048090262055,0.5721142839587495,0.610364821276164,0.5434225224260981,0.5643504330784086,0.6307066317078869,0.6116439898919285,0.6317169261804918,0.6480841740151886,0.7079918012462606,0.6651117005735292,0.7292934662989208,0.7935552935407649,0.7698634836319513,0.8434836024800069,0.8893637775599345,0.8794088388701132,0.9789508883486906,0.9418523595057754,0.790432456100486,0.8332275158297051,0.8523650702618947,2.3301296037758603,1.150751598467125,1.6000034918678014,0.8580059858448988,0.8611397177123521,0.893312931715338,0.8794995242296763,0.8757248614142906,0.683016573441106,0.8215754992709707,0.7493434096901904,0.9500088335411624,0.6966564997598753,0.8986335893783531,0.7274036475612445,0.7410726157762839,0.7991789636821175,0.5781319434157502,0.6186107308768769,0.6735124690931195,0.7623506003532511,0.858521488887242,1.0861656344235537,0.9249510447454995,0.7836439394169258,0.8698327356711737,1.0206949761873876,0.8246485115045373,0.7762452128786144,0.9838976758246368,1.0108299433616175,0.8217564751600868,0.9227541715639751,1.0411041095529578,0.9454862349344898,0.8743764068481662,0.9423558594744956,0.8638017992413254,0.8436482850957959,0.7882670964805355,0.7783215479816399,0.8276322272852256,0.7330378450685286,0.7462100769281089,0.7580177672655621,0.7706122502956965,0.6724998358481673,0.7133597863522938,0.83678001642006,0.7723398927044078,0.7100945976701414,0.7726605022641563,1.0489025801898737,0.9044792366058927,0.8608831953382363,0.963239263369796,1.0951501515700235,1.2817965142602887,0.9315486672214082,0.792632993155176,0.72569500845535,0.9426707311166963,0.7992498734818654,0.8267504748542436,0.7887916028362743,0.6775340822993294,0.537107437585,0.5037897208796503,0.47215309168913294,0.509580722370639,0.5376766183054114,0.6150620412343439,0.8334966618280838,0.5080503354938134,0.6711432268347757,0.6654865313805663,0.5004860456647902,0.6115310563102087,0.8380615335841639,0.8195604578396649,1.1293809813683946,1.4245860815764915,2.43101586207814],[0.7285902279696772,0.6574224970360538,0.6668718709814536,0.5995128382332487,0.5092317381999776,0.49285529371889086,0.4033241285590877,0.4639200407576969,0.390253024200303,0.38304400513166337,0.46289262421589805,0.5717495525053758,0.4784160452088221,0.43480477698522485,0.6386298634891765,0.5914148517518989,0.5333361626505967,0.6140692736222072,0.6646957349323565,0.6289202324658935,0.7144637542342301,0.7295237882582838,0.8029397391920454,0.8638491827742326,0.7141599082254408,0.6641219787905394,0.5725770706291821,0.5427561886574263,0.5580619618263605,0.5754895413205197,0.6740219282706054,0.6425341618267277,0.7665620307711758,0.7534975908698082,0.667542251201837,0.6241502659152341,0.6064850357713643,0.5830654619406603,0.5468596346729512,0.567971709347672,0.685191750998489,0.6547027994850381,0.6538101602523444,0.6570113754805915,1.3345544291165663,1.7054877287676005,2.0958359753018088,0.832063958981595,2.2964928050868667,1.9715508758517082,1.7211582355417416,2.2615989617223033,2.5679746355666713,2.6689541740588405,1.7697243702787235,1.1654799422300117,1.8382967393979919,1.2110255934919827,1.4211974436962436,1.0098907474027945,0.9262899837477526,0.8257724122795684,0.7367035032099676,1.0834470079044818,0.7303884759893933,0.7164762392304387,0.8949885880594034,0.7997551524322464,0.9024607981277475,0.8666577616809648,1.0264493824821812,1.4271842798052121,1.2404920485156328,1.084918547627003,0.7777181014550855,1.3537600880287248,0.7086051008502315,0.7681849276848626,0.704060335332922,0.6973667013251926,0.6887557311752547,0.6991313182914863,1.3394957111463934,0.7705333330762265,0.6531086469445221,0.6043117105271382,0.6086465536833465,0.6635511296252358,0.6504312285186069,0.7595457696819934,0.7386705802943769,0.8781196677883685,0.7935288994134695,0.7866255231950123,0.7224559816906112,0.8095620766065449,0.8107156133475233,0.7083830430170298,0.6759631183568338,0.8608068811885199,0.6789057961366776,0.753123632186133,0.6573244691079028,0.6355297857236567,0.6734478039306339,0.6210853885525748,0.8712616131170178,0.6336688005049229,0.6552380126899531,0.7188579342545905,0.5501448816871184,0.46268528958292243,0.43559247059540507,0.42712899344180527,0.4431429441208185,0.4472212354372137,0.5294479664100443,0.6458521500461982,0.5830517847287549,0.6181680159930322,0.5116833123395111,0.4646513849537477,0.4180047535962702,0.39336101067832,0.39036576177917204,0.4328908794207056,0.558301224431701,0.47576254036868476,0.4941921624712616,0.5316657889205191,0.51397835701339,0.5496512148149528,0.5012874681003863,0.6675693422099597,0.5414200640034547,0.5523527962914162,0.8016470464685381,0.5239726299358852,0.6282442762077501,0.47392502605485387,0.697898512860038,0.6664100006367054,0.5942056099151034,0.4998689844568999,0.4686473631726183,0.5042226942781934,0.44653471381813425,0.48417706910728114,0.48993247966580844,0.5161545446691129,0.5395164753113947,0.6031689543520445,1.0966713647233544,1.4279396855139304,1.087260013626691,0.7388684563561121,0.5927455694315473,0.5792461056507555,0.555810729110016,0.6202290793915104,0.5017607893645866,0.5177316647565067,0.4825073089677096,0.4928691014097977,0.5219242876295572,0.5992996131955601,0.5868644636408056,0.7182763518270936,0.8451947213764445,0.8480554904887224,0.6031674767677264,0.510563575790792,0.5131642156955607,0.5266654000308721,0.5223154875872611,0.5853316871388826,0.589848516436765,0.8533850680225367,0.5777645366851075,0.6366304749479695,0.532723562792129,0.5443183508648618,0.5437348774676581,0.5440543753383894,0.5447734525621027,0.6526940531846988,0.7915983608231371,1.150738804142805,1.6255704456220668,1.0843001577494649,1.1596157919800625,1.491581604561249,1.0062292658352447,0.8158222076988338,0.5788587588494261,0.6104914426560772,0.7957394573023797,0.5887504550362169,0.5979715510567516,0.6055850981267787,0.6760281448795369,0.6906978521532311,0.6234763248148232,0.6732845336076769,0.7361114654939989,0.7047273992784254,0.7341602602423245,0.7880570450091654,0.8249936729580897,0.7988512858183586,0.8998192533133852,0.9734210052635386,0.9177751434959852,1.0180850628562892,1.088720106243155,1.0619682719800472,1.158046850139928,1.1338679087266827,0.9658672482020718,1.0262266126174515,1.0327082177546847,2.3762018661555544,1.2962399172824124,1.7269135790890007,0.9961530064883162,0.989241817323142,0.9897701530233457,0.9867898435677076,0.9969773050456098,0.80981826278133,0.8905507571913943,0.8454026016375679,1.0571954726508044,0.8071814159166371,0.9831020515461775,0.848117921273315,0.8508723975477687,0.8915174665800485,0.6854562187158515,0.7103816585482845,0.7451876768962228,0.8310020491302977,0.9002155026330481,1.1903731643658002,0.9793204130696447,0.846070640226264,0.9709369054945406,1.0960967507609674,0.8810625493722103,0.8588432236307747,1.0599077844284297,1.0565981830082567,0.8992840681965828,1.027205841262095,1.1311096714814248,1.0313882901230451,1.0170977573811366,1.0946316568012688,1.0176095440579231,0.9832242945625641,0.9027663315287465,0.9184043652948256,0.9869165641921531,0.883552352286141,0.8808098904251914,0.9247233778582519,0.9367432828396662,0.8135991881706052,0.8704180527142105,1.008433044257426,0.9291547769712188,0.8393487215497,0.9174098930328629,1.1817261983109202,1.0627187268531357,1.007732162854314,1.1226027002879995,1.2116042268218203,1.4263501471603712,1.0933143717824207,0.9527894978572687,0.877730774790396,1.059807131507091,0.9238648785999461,0.947906058037111,0.8497525816414694,0.7753503502209244,0.6211538477509638,0.5817902918292439,0.5263267447590225,0.5786247429601004,0.6095007489404742,0.7064257915641966,0.846336915149601,0.5676509482543989,0.7774647289875691,0.7228786200813704,0.5364174048283743,0.6987772416546801,0.8948364530719228,0.8675096459718613,1.1294123097463296,1.4011302284808618,2.300164637724939],[0.6355884020590801,0.5182667473396367,0.5257000422968493,0.46108401412384137,0.4762374124209885,0.48662625561151507,0.4297332837026046,0.48706418355365455,0.4299195359252767,0.42182944621345503,0.4847808518776175,0.5830548646377607,0.49782294988442966,0.4520686182607059,0.6267833394983147,0.5882325986155118,0.5418862819086148,0.6112687350468266,0.6621672720128915,0.6204801997207967,0.7171585209193602,0.7479271518172739,0.8245218123937159,0.8975356064300762,0.7253680104261597,0.6734278335661368,0.5780926023454805,0.5485722518140401,0.5571617006509132,0.5735571789391529,0.6574103837550884,0.6338896153435655,0.7564568304687272,0.7361884932198695,0.65292130559606,0.6108613709654063,0.5999666903329071,0.5808350369909343,0.5435381295298943,0.5599592605181063,0.675279098744925,0.6608680222754383,0.6461104286224203,0.6352938435344324,1.34309939705988,1.7214207063158253,2.1514536907392263,0.8373866986466436,2.2697028118591502,1.966010421317234,1.6909954689549982,2.2558997515470383,2.5196284461975056,2.617277379055861,1.7153259191301375,1.146080414898838,1.8368962768322221,1.1677903497865856,1.4022701493117693,1.01647756392103,0.9212566397570614,0.8171571932471241,0.724391363484063,1.081842082046023,0.7351461296322541,0.7118942031720848,0.9005020052612298,0.7916632838176503,0.8921822258619315,0.8502574226463674,1.0069656385919175,1.3881640464349545,1.2253863577467135,1.1060438079148363,0.7670487915049419,1.3528730057397715,0.6922687557287293,0.7405152238771798,0.6860796353206655,0.6774177010081821,0.6766075284272672,0.6900409785558314,1.3369164941652665,0.7308514680299719,0.6471651739572771,0.5949417832438942,0.6045386395200134,0.6575355526756415,0.6357005155365019,0.7329311761223408,0.7132135757290526,0.8691717347542562,0.7620509898083553,0.7629025270673871,0.698934008197727,0.7807877004634189,0.7872452437750128,0.6944220815380985,0.6735453367224675,0.8708115401806118,0.6787712872597162,0.760824185695691,0.6627499045638265,0.6343189646513355,0.660830346302069,0.6194957428432734,0.8683784038909337,0.6166440756727666,0.6415539433898578,0.6961912451737304,0.5414078992122451,0.4722857320720955,0.4622490701786231,0.4728693087914659,0.4842432352964061,0.4823453638919086,0.5533696128149547,0.6644582029028191,0.5996363266191075,0.6204444948022853,0.5216882653927447,0.5003014800514274,0.4841808128243651,0.43469275598799817,0.43616062088388163,0.45930902348666064,0.5589065130124302,0.47815783521630995,0.4886244314527736,0.5285647945271643,0.5035917056758532,0.5391561084606671,0.49026028534715377,0.6653883983307329,0.5159344508302097,0.5365471070588529,0.8168885231399968,0.5398071255801759,0.6471239753534802,0.5289875476403711,0.7702174841599482,0.75287786661104,0.6483588571345336,0.5427161286281224,0.4840341258377808,0.5095790530157795,0.4738387023826482,0.5057215601795599,0.5013815864406372,0.5280015236276996,0.5502249417830386,0.6143059259997163,1.140895782105972,1.4069194415133592,1.084907088542531,0.7518666312688674,0.597929450228908,0.5847464585850818,0.5591513777550752,0.6286162181245917,0.5001991898735297,0.5254171092967298,0.5085404782835052,0.5165623634322704,0.534954639742695,0.6350092372073431,0.600779690089178,0.761170220419194,0.8753955060485865,0.8696116545993995,0.604540746542843,0.5218681573627,0.5254553453898541,0.5219253781188451,0.5260846272933613,0.5999290246596898,0.6014826597161376,0.8470603768272766,0.5823998658105123,0.638302527298631,0.5468966424701082,0.536863733751479,0.530962558163565,0.5513076413393871,0.5618504774985753,0.6867017896104117,0.8107051068525999,1.1409705188763346,1.726515263818821,1.156089184919863,1.1946264352652123,1.4801456913228712,1.021975569531956,0.8345082726951841,0.5732810784294584,0.6017573289566346,0.7418181654148496,0.5564930841454053,0.5723398985508644,0.5744274554913749,0.6293895451341908,0.6603722018184239,0.5899875575958046,0.6112641905945654,0.6785003745967,0.6401340641802152,0.6731007678107226,0.7103170781521432,0.7443882706567416,0.7004001750347552,0.8004407061355296,0.8503857710201916,0.7826544180933461,0.9017592817934575,0.9887237390459258,0.9757518391704534,1.0344361451972293,1.0745099944694763,0.8977658554688958,0.9309637538817161,0.9557752346118902,2.268533897492911,1.2915547328747516,1.6424480046014547,0.9181593132890987,0.912357490029245,0.9232888210231217,0.9473997998248949,0.9343070670844,0.7598440582125572,0.9481736790500517,0.8048194858690594,0.9846018401052867,0.7887758362820607,0.9597579440499608,0.8105063092382438,0.804936432389677,0.8123930939126535,0.6318601747370287,0.6545316089654387,0.7121570897168747,0.818224001765474,0.888125736229149,1.1555632679087,0.9564448398084511,0.835980729268246,0.9342488223689899,1.0734148789366598,0.8523179830903262,0.7988218836344075,1.0085513193070157,1.0113764796077165,0.8234722340904131,0.9491888331600217,1.0643058689489064,0.9551754529362647,0.9146771101911993,1.002300393289953,0.9257382594334342,0.9058166489893535,0.8373391007071355,0.8522988619507785,0.9086990413657337,0.7917545957877501,0.7887178929112,0.8332681372970695,0.8430897255274761,0.7302278657208261,0.7832669212374027,0.9639486507093782,0.876074963756472,0.7764647923396257,0.8909587385308928,1.161811744834757,1.0173325221481124,0.9838894166934059,1.1195043572149144,1.1878342561900157,1.4845808016972997,1.0610213496468877,0.8831516951147959,0.7972769532814333,1.029972332552376,0.9114380139322846,0.9493146622520827,0.8755851903010629,0.7587468652871544,0.5879049817923112,0.5584614102262386,0.5081626797665174,0.5491694725695815,0.568129263455681,0.643058519819494,0.8086802467755183,0.5343966364129251,0.6542669860223204,0.6584033523874262,0.5481824293478693,0.5652493731185186,0.6977105081822277,0.7937955408345397,1.0230717682125379,1.2631726786053177,2.2042490225414744],[1.5027400764349046,1.4408169670812698,1.3139584527298769,1.2416350783868675,1.0581135032554914,0.9687703251543749,0.8070046855171715,0.7475300814270013,0.640368894456661,0.5900989206068761,0.5976829066925423,0.6803686858997807,0.6203749434930879,0.5677133001290819,0.7060512160923105,0.6797458650798607,0.6575848039936311,0.7030221281657408,0.7420944261793738,0.70001182931889,0.7869622564892327,0.8203134219297682,0.8494270646533898,0.9514775370014467,0.7876956080191302,0.7530767525700544,0.7076781139711888,0.6772356234701838,0.6625116528263856,0.6722635917123851,0.7484699691787277,0.7314759422048099,0.8547360699814678,0.8546776461126675,0.7477965962916896,0.6999575348316591,0.6869102929841343,0.6946404717034236,0.6894480083888639,0.7179822343340163,0.8946642516874375,0.7427601844591306,0.7329022904721129,0.8375399847867446,1.4739924160121234,1.7929305511770288,2.202813820115879,0.9206819177598713,2.2813833773525194,2.0434840663306266,1.813050550085601,2.289962412611342,2.6788223807499687,2.7751163290729233,1.8826554554257018,1.256480701330873,1.877865287683214,1.276958150208619,1.5064550755098565,1.0755560371756667,0.959182730489054,0.8926253148490452,0.8031183281555689,1.1438014197883033,0.8059901594669677,0.781053909510279,0.8929204492189253,0.8291571914450983,0.9533555039368307,0.910884776031721,1.0650906898960673,1.4539301301724268,1.2840499350545147,1.1241234459701857,0.8541607529241396,1.4631101464051899,0.7873177232250422,0.8822341830414128,0.7821694075570129,0.7542745051020908,0.772641769628153,0.8216296914166495,1.419961590603516,0.8818042793674293,0.8079946793495006,0.716529641186277,0.7156882610393043,0.7274300204324484,0.7207067110547778,0.846889337637874,0.8196470208106849,0.9909536752930975,0.9047196642265497,0.8990315331448967,0.8077071182912721,0.8987721615769517,0.907874558259546,0.7892908956633514,0.7585131831368747,0.9209006684991445,0.7665160463996963,0.8221977121574987,0.7436497930074089,0.7613744552598877,0.8418007464063781,0.8170578938230624,1.0898916569476156,0.9439666234900888,0.9898501394364497,1.0006472437153988,0.8867760271999738,0.7756288693829575,0.7502892082383379,0.7256943918653717,0.6811059475888364,0.6965794309674684,0.7161202729564207,0.8790899958531235,0.7462869125903733,0.7513308630186709,0.6749783077741915,0.6508546259989861,0.6964217155129008,0.7043806002695786,0.7478547683684679,0.8455318904869827,1.0077562885499336,0.8811882461475529,0.9132394414448917,0.8602997209530032,0.9612647669494921,0.9446888487363228,0.8995553330668149,0.9470435138067249,0.9196798174917925,0.9139998422661914,1.1713908554350443,0.9420820194086673,0.9900722470309582,0.7681859668334761,0.9085398157483593,0.874706798078993,0.7587874716391197,0.7157245486379885,0.6955107392278889,0.7092237241466374,0.6814323226971032,0.6766496751567025,0.7102756049656328,0.7374052917997633,0.7576206194725776,0.7671720102748366,1.1742108620178202,1.3615468998935025,1.075507713752326,0.8154740212962766,0.7015483376803608,0.7093971192368412,0.6829367032160165,0.7881672694218249,0.7492928584326133,0.6975866918040822,0.7300209195228632,0.7093218253809738,0.7765537997228247,0.9373376213889281,0.9371884283227018,1.04402654849575,1.1826716565221054,1.1660736662337667,0.9787488996145352,0.8733914022217794,0.8088072670955965,0.7857123376368673,0.7260961818468628,0.7309337698764755,0.7122578454068761,0.9753492506000342,0.7204046171929414,0.7821587828329549,0.7534584933350705,0.7871978809906792,0.8284740458417521,0.8314752881520067,0.8205272431409216,0.815850519277686,0.9015486845885365,1.2794243294447065,1.589765978775609,1.288275433830259,1.269000171179683,1.5134632441366045,1.194631608348735,1.1117236301953146,0.9847188095731867,1.0480250111254785,1.171798249544537,1.0667291701269814,1.1214900669343617,1.0560611101824828,1.1352178866263511,1.0808847180273569,1.0603605537873821,1.2022670961322877,1.2046873332415942,1.1734500194926574,1.3014055628204169,1.3476443609006745,1.2851438965472952,1.343048368653161,1.4918100970746213,1.5272993640066306,1.427309250592114,1.5942918303113587,1.7077866942146485,1.6833231908202153,1.7341704914517542,1.7582500276460453,1.567184592519558,1.5921587119964717,1.5729888510236059,2.4678959595889425,1.742845814774621,2.0456345231564455,1.4498368146826681,1.3962716686142524,1.3513396772625812,1.3468796706246373,1.4456701892819714,1.2634177495477301,1.1678961938259012,1.266664250053496,1.5017692274109786,1.2350374312640198,1.2922092330562092,1.410424940181148,1.4130335872297834,1.3973802035434173,1.212923197548832,1.1311514350817224,1.1231515612300345,1.1608028778619852,1.179923332335245,1.4313691239341613,1.2075531694813109,1.156985666417254,1.283337465500455,1.301130961998479,1.1434674468320947,1.1955076791504144,1.3155022525628095,1.2854956074574309,1.2509128338037523,1.3434970921853016,1.3837602443661041,1.3562331932191778,1.4315987721254886,1.4748689846478729,1.4477897545029115,1.3806317119538547,1.2828251113303397,1.3335762583783706,1.449217403607751,1.3813677409123386,1.3478302264361397,1.4424036468342087,1.4805916884220773,1.36367043595105,1.4114841534005802,1.5891429111993076,1.5275516204041806,1.4187474567103648,1.5092571329543256,1.7631223076835227,1.6966281176937206,1.6459451583308216,1.8087025511085113,1.851105273589112,1.9701993867370868,1.7490280039456199,1.58000343248993,1.4898351768691354,1.6494101717456684,1.5457754579465828,1.5850513902704397,1.4251410794919395,1.3728854341220136,1.1810372014682968,1.1036353894885762,1.0207927257449647,1.076115207133481,0.9658307546308393,1.034194806262925,1.03773534501709,0.956348142336063,1.161580557106759,0.9921711658994848,0.8802419933407047,1.154872108885463,1.1749511636679157,1.1064744341923003,1.2366416827590332,1.4282031174669132,2.2012285375834786],[1.5458772634566162,1.4727083439545772,1.33268231058027,1.2504218339526554,1.059332272375217,0.9325388644164977,0.7912238689222352,0.8040914734814194,0.6900742328836411,0.6536354486198075,0.7200206946885502,0.8749399716718481,0.7653888222760006,0.6703806106365442,0.8659453460395657,0.8582746660736154,0.7844504965207143,0.8324158349081233,0.8282623868427054,0.8243905303119856,0.8711408162319361,0.9052091051722234,0.929546253920543,0.9458747765579374,0.8552545163739106,0.8039431371901506,0.7843071176250374,0.7498988183868864,0.7857946344655667,0.8386260592352286,0.9431046640351184,0.9539644397044955,1.095679597631566,1.0841345638885915,0.9596016395025109,0.891509355279705,0.9001330841645732,0.8271329928786618,0.790821847537677,0.8159512104681467,0.9576801695291015,0.8456614073403299,0.8550444885192622,0.9506225804690501,1.5001877353397437,1.845728103329176,2.164422818314946,0.9992794743017064,2.3186970706336982,2.1396096198765946,1.8131612242077875,2.316354727555112,2.7141113968198205,2.8196278750815367,1.9190991280692158,1.3357844001609926,1.8886346479892806,1.3103783724874545,1.6667876644977884,1.162782842260167,1.048637153343514,1.0213237509504585,0.9731859078886299,1.248841002056468,0.9072048280214051,0.9065891206088997,1.0246902796925454,0.9880758566448236,1.0274005293454689,1.0204455137088517,1.1270344612421501,1.4620116276029507,1.3684507780707598,1.1718034613165784,0.99199920639625,1.512024337958969,0.9616237963547577,1.0826978318563545,0.9979096412816454,0.9572203085252985,0.9803404447706139,0.9804048672968133,1.5126149115847167,0.9537690657996831,0.8854010520791052,0.8504962602178523,0.8590258833117632,0.9378473181804368,0.9045482017478425,1.071578648168225,1.0246432345981813,1.1507033917843152,1.1091279631615867,1.117080795124183,1.0328438076933257,1.1105239729219187,1.0895266782654056,1.0362467206554724,1.0017112593312238,1.1517011762753842,0.998405278396637,1.0238502753847303,0.939857685672356,0.8846016322739743,0.9109073683212463,0.8994723336353674,1.1178785726816574,0.9694609247236603,1.0055032794177954,0.99550074218498,0.8935995073015381,0.8049161184228407,0.7783259323499532,0.7460323678642766,0.7144925721126525,0.7040736492729713,0.761528053401993,0.8817330761916053,0.7545396542853562,0.7889711954801918,0.7055547541853912,0.6744107452213758,0.677616936078963,0.6977124750740773,0.7419920129542615,0.8471751752135168,0.9938680464311815,0.8747177085290516,0.9183054990615914,0.8893630140834937,0.9722925946403989,0.9600695673139713,0.9159814007301413,0.9877288699559038,0.9288510666091824,0.9126479890880482,1.1572500599138595,0.9366841252506534,0.9611138218220177,0.7658365983900149,0.8728219465256876,0.8396893151446179,0.7727681591766603,0.7309367906317494,0.7349338301785654,0.763403413024315,0.7260532036185461,0.746740945766377,0.7808446662849639,0.8067591948542134,0.8408385453220864,0.860399838946719,1.3310721613072696,1.4777710159466126,1.257958215766641,1.0287431749210794,0.8854638213106177,0.8707573838107169,0.8364122752330424,0.8947177900701841,0.8168020877286656,0.8067051941383694,0.7675322222681297,0.7661916247922874,0.8002579319850134,0.9512287620746316,0.9291846760771463,1.0328927207689331,1.1813505243264761,1.1507960182257013,0.973345232636547,0.8789144819578024,0.8162955359798553,0.8389108632432993,0.8224620438286784,0.8721666382271949,0.8551483016999475,1.1288794945682235,0.8592948343912848,0.9026877132138474,0.8518012471352223,0.87692480231699,0.893582779125816,0.8803898763514811,0.8576265658396911,0.9151948610790307,0.9984691609698629,1.2960740422147294,1.644111317997516,1.3515911404759582,1.2384250360885247,1.4877486809995972,1.1885251112852846,1.1196515299274696,1.0043974500490285,1.0831550004267592,1.195565199813013,1.089358346568361,1.1393869662567295,1.064496437000254,1.149080604374648,1.0962372459456955,1.0711593107369073,1.2082735005002143,1.2076771136875135,1.1695541091623585,1.3114100201262606,1.3617721657666126,1.2805131932944769,1.3469491481935667,1.522272832054775,1.5524838358165989,1.4313315194468827,1.6398589822404932,1.7657709330200742,1.7388409322389728,1.7782557365686953,1.8329943196781369,1.608368523896249,1.624890349990171,1.6019020198514824,2.4210592163244264,1.7727285591837623,2.0745107038597466,1.457936665688911,1.405916200565619,1.360578813931725,1.3757652899004833,1.444146764037659,1.272742200519227,1.2005754506854034,1.2770597158430137,1.5075137908397507,1.2571941678128173,1.3019466822061743,1.430446325875911,1.4377792481414224,1.4054810510684779,1.2274951034872712,1.149565842788449,1.1387497018132606,1.1937792865080334,1.2201545443807644,1.4777377805068483,1.2449977702499924,1.1875917066347836,1.280861619840602,1.3438824296948197,1.1727068462909227,1.19195751521901,1.3033995955906474,1.2820924057627603,1.2231752579059891,1.315495571180218,1.3482323738669042,1.3346851816318777,1.4189585304808228,1.4586299734568895,1.443669863142913,1.365585210020054,1.2745502325195208,1.329799731266635,1.442269811895432,1.3776767778843957,1.3431844939611255,1.453110382326452,1.4958392488441887,1.3755911868859672,1.4229232564118612,1.6212408933060372,1.5637252039834089,1.4447955009326572,1.5415509544604815,1.8016502657077504,1.7429032157922089,1.699455579377618,1.8930045208655635,1.9270580278092957,2.0471871348074604,1.8217154287414163,1.6344005977961795,1.533359912387903,1.7003569923666435,1.593880869456689,1.6381877436032657,1.4563664614577068,1.3899358001026465,1.1866785107364253,1.1078156477024372,1.019318516729127,1.0723877704863507,0.9577361512807766,1.0149550047569853,1.0229372884186756,0.9452547254599245,1.1296009096887996,0.953275996494433,0.8820183563058435,1.1233504163746626,1.1158463646691084,1.0480937410644195,1.1373512369344894,1.4834844066309427,2.2441181711906633],[1.651907663586449,1.6691976617672595,1.634004600642629,1.5125389526472395,1.4366549237567978,1.3722622863216578,1.2273436557669222,1.2051710259096424,1.0090673292727281,0.8943712563157304,0.7972069291599916,0.879429171349992,0.8983661360095999,0.7948900101393312,0.8807653029626236,0.8963259995534689,0.9144442743566749,0.8851646072360395,0.8610921519259207,0.9237195723516956,0.9161820864145942,0.9951578464100662,0.9712258855871717,1.0388514970709395,0.9907526592842388,0.9036877053190265,0.967837754429639,0.9530277507632405,0.9351277146678951,0.9626044000469993,0.875685696765086,0.94209834534718,0.9467524137992227,0.8899952225300918,0.9246233322994875,0.9237868016800606,1.0049544608871395,0.9887442427756514,1.053308006780898,1.0920862258534294,1.2459825044431994,0.9993691381958563,1.0305697724581713,1.2007577497678237,1.8356658679418287,2.025490914647998,2.4827844186009522,1.1512406746681494,2.1629169878996426,2.0813198437701,2.0350934587124385,2.3112821690834155,3.0595737957579163,3.0600529359690647,2.107268447033083,1.4102268731230714,2.183889913074625,1.4729118437628472,1.4037142731234407,1.2111313089876001,1.2212704903788494,1.027115838784431,0.9175950068008962,1.2067629332431706,0.9276711841412787,0.9228538046176543,1.0305084475113844,0.9430126881270088,0.9775805111700496,0.9635540622940739,1.0452412920077716,1.3753690308904947,1.2909189313139668,1.1043966173483561,0.8914421878471539,1.3761455709001158,0.8632640953076041,0.8823091018619164,0.8848706825472546,0.9153293970987143,1.0129355393210455,1.134618845845015,1.6237562370338705,1.2937593033338675,1.2315707273247114,1.0823609884224104,1.0135421529151047,1.0709251552064147,0.9203518964330639,0.9189857196982425,0.873850740370243,0.9893818364929706,0.8430132433632705,0.8539776845910043,0.849452750597425,0.8425917669752458,0.9007309582576067,0.8856167484990971,0.9420667114837249,1.0887347213716754,1.0182576980547615,1.1912797123461802,1.1110561935714205,1.2314282074389118,1.280458432445105,1.3258822970947772,1.5000820701668771,1.4560897559715618,1.4792397782091473,1.4752994079605684,1.379375101515078,1.2738652990975692,1.2103196537544263,1.1426737369889746,1.037348579192088,1.0065092742810924,0.9869464233677352,1.1053969057490178,0.9342665624907588,0.9321962198734318,0.8528349816836016,0.853403214845705,0.9106177428681476,0.9906813023218212,1.0784926907598222,1.2235545761232909,1.4225576942730247,1.3425996064354848,1.4057231893360547,1.3826822262421317,1.452686396637392,1.4454140293767892,1.418566239158376,1.451167057184065,1.4216549582556195,1.3948564049302594,1.5363598005715757,1.3100849074578858,1.246093313433541,1.100878793536003,1.1094669727466142,1.1035303962941558,1.0171449223243048,1.020284049943287,1.060393101214995,1.0614822336936862,1.0639441009518196,1.069935731769564,1.1673224354686211,1.1632643421569366,1.2437376942712564,1.1737046431420886,1.3614398325137396,1.6590654663074185,1.3184004509754936,1.1102860623883561,1.0740611054534668,1.1602352484316172,1.0860912329426398,1.2602162092718026,1.2523709610666145,1.1497439334565245,1.1616976284827722,1.162620697738993,1.2080916380724323,1.3095521150298688,1.357433660135833,1.4181392403791733,1.5465870476539323,1.5007069708632006,1.3925969182957758,1.298492715585165,1.2647030522368223,1.2944312774091822,1.2178382231413716,1.179224215942593,1.0971245553034459,1.2366871607882253,1.154938011307849,1.2169414831932857,1.2738531074888209,1.343189710561281,1.382884786902161,1.3548579667042158,1.3170369096039756,1.2415653561193183,1.24698976791548,1.5897461469433616,1.6279256933144144,1.6080171304476931,1.6057724117168126,1.8912022314795518,1.6363828629067805,1.5800175177940892,1.4814467552613884,1.5121892350576094,1.581801344163751,1.5484514842593646,1.5718921951892728,1.5402866327563642,1.5899135423281296,1.560250187255562,1.5382109686371572,1.6181222149814696,1.6239327804794363,1.6125561604751677,1.6474111193506382,1.6812411381180452,1.6636845224957941,1.6805379012339443,1.7357376914445677,1.7717849696088945,1.72686005566344,1.7734354682835514,1.797216214124506,1.798359838799642,1.845634940575059,1.8534295925832105,1.7660357616408768,1.7808562124784704,1.7832378630700645,2.5044940561710427,1.9523454331331618,2.3244746971183607,1.79835419245249,1.7736466839446305,1.774410192183168,1.731571637692372,1.8169042368245547,1.6728959741589675,1.5303204388775338,1.677461809015175,1.8778151924480413,1.6474417546032947,1.670564225540625,1.7831871633675611,1.7489454704887417,1.8090583059377898,1.6304245367820989,1.6226534948160882,1.5912110931775716,1.5987451598019746,1.6257756125725342,1.8356626793046393,1.6497119367980402,1.616254345026629,1.6821599932056988,1.689414077355947,1.612543959903596,1.6433424500232288,1.7064028733293082,1.6898956992007916,1.674420725169431,1.6979358470545054,1.7005392441008946,1.707784709612888,1.7265947985416707,1.733856617773561,1.7302027935108297,1.7043910731560916,1.6765631258250346,1.6948785480852493,1.7317934822635328,1.7145202791734613,1.7271415087992366,1.752452142534369,1.7646311993235662,1.7104512419358207,1.7402298533825473,1.8049726272670052,1.7608530362168562,1.727484255435585,1.7581651087171706,1.9133967670530867,1.874921794321098,1.8078347769812604,1.8849696694044504,1.889740473444673,1.9962594398661,1.8186346150683432,1.7627529320264375,1.6927974011404259,1.7395161822668923,1.6985065958293009,1.7191743646406077,1.6451136486259876,1.6811293997030516,1.5515861066128904,1.543709841573519,1.468322603127891,1.5160523893288262,1.4612644643268449,1.5063246125797856,1.4675830921688968,1.4348056570256675,1.589742516601786,1.4318051702782726,1.3381899936113377,1.5640367483703306,1.6114745024445565,1.4779093793216749,1.578389003193086,1.8418667193553326,2.209593230348597],[0.7284460137895103,0.711182540090485,0.7697075215238599,0.6719720782988515,0.6617621179330457,0.6659214452935626,0.6284861039051617,0.7298146132092378,0.6178147030426538,0.5584191298792831,0.6099832689779973,0.7343637789182892,0.6593402745500773,0.5743789858009537,0.7738215028588811,0.7518617147724393,0.6915050415032887,0.7276691038534038,0.7248065618086229,0.7445886856132129,0.7732608462175006,0.8365164692797155,0.8384770453361821,0.8802895304851021,0.7938848630499344,0.7140702057305084,0.6986389875704042,0.676964446388067,0.7120351871596569,0.7486743995229196,0.8086851943160223,0.82003956802403,0.9082412165550543,0.8675982456423267,0.8237052105556386,0.7826139267096132,0.8017567616595197,0.7439500773335265,0.7378766218628674,0.7638246473716086,0.9059676051756549,0.7697903881370067,0.7791078702869179,0.907908661991542,1.529769136943841,1.8117841357422035,2.1911903378280058,0.9360621423170379,2.2381299531368497,2.055040481324817,1.8329858406587844,2.2561898027118796,2.8128300416274823,2.8569074624717183,1.9101816502620748,1.2618076469632953,1.99071057835361,1.302981103614033,1.417668765515809,1.073965457463825,1.0346547583223618,0.9219177822673096,0.8383536889494086,1.1487150280703058,0.8043115706984293,0.7984567484351612,0.9347208266765425,0.8673474761710142,0.9190592569668742,0.9306662965825147,1.0344908089155795,1.4005967401002375,1.297695362059666,1.0886022769250376,0.8666357447808385,1.3499230420233934,0.8049533879313262,0.8656390937915257,0.8128721992040988,0.7986596028733443,0.8498631170603373,0.903557790608911,1.4687982922739142,0.982439916226264,0.8763502277538839,0.7977368211968932,0.7797662088044954,0.8762388200079883,0.7884354880525551,0.8785634240666483,0.8454417543461988,1.0023788164342449,0.8713424671238972,0.8759120064749469,0.8375940173405747,0.8826057351574255,0.9022256329305806,0.8516662095870401,0.8525651700840057,1.0120067858453201,0.8769062369216307,0.9597944118905345,0.8627541796526406,0.8783239656304749,0.8759945210526944,0.8440669995550164,1.032411345633087,0.866033504942383,0.863727505086747,0.9270409430154585,0.7735029883995881,0.7166045029732212,0.6865651280935279,0.6223881245754175,0.6277129984274372,0.5928330167723619,0.6752576050281357,0.7743553733115757,0.6626376317579399,0.723970727075167,0.613365468162168,0.5824411570888379,0.5222395640794364,0.5400522363300935,0.5701936041560434,0.6428767154202581,0.7889284021035882,0.6949501474171571,0.7314028291240429,0.7754355723135692,0.7433212929370163,0.7788868615384648,0.7386070809167166,0.8877396753645855,0.7685048848287847,0.7589078140703776,0.9330761486400658,0.6786463399312308,0.715364356871515,0.5883568268934465,0.726432919761012,0.7095103066290571,0.6788874675476492,0.6178258439116271,0.6594690577287272,0.7047761750928656,0.6466077523242154,0.685601268695288,0.7309703350260395,0.7523569188093895,0.8044934387535222,0.8382238741488813,1.1826927854816667,1.5417177984272754,1.2271702402500795,0.9285760895512503,0.8312286630960187,0.8315341531569725,0.7832499627245,0.8569144048382933,0.7639481115960026,0.7552894121243683,0.6718765750749129,0.7146007424920723,0.6865220249053533,0.7591874243188013,0.7498010199155151,0.8247875611733793,0.9439325346480681,0.9286706001765551,0.7588829107638585,0.6925779453394245,0.7122577422922026,0.787551134717972,0.7834122478864528,0.8078674559397526,0.7929807067360315,0.9993513547418776,0.807588396428099,0.8449423792055709,0.7981106130984915,0.8317409145058283,0.8309857299219515,0.8033556467696286,0.7775136408372408,0.8177168113374756,0.9042714115521829,1.2640641334445308,1.571420182242149,1.233286133623987,1.2110857311489638,1.4912726974364923,1.0953763722193246,0.9579345643387992,0.7901936251145866,0.8100490736955634,0.9369503638082441,0.8004719903533261,0.7931299518616998,0.818152764569943,0.8538278745450766,0.8780081147525202,0.8175867470228938,0.8337579224781095,0.886304299884457,0.8689807277084451,0.8469604718027683,0.8889014680542948,0.9390633617209666,0.8941144363131126,0.950005870327478,1.0166481246118506,0.9775981730935276,1.0348417108133252,1.0823301634642588,1.0655524565097059,1.1650159545672136,1.1314915482739174,1.0067375515557064,1.0531442393313326,1.0696940420251895,2.408723423098787,1.3330881854840486,1.779620058748819,1.1028446675021575,1.1170457485559493,1.148050116789421,1.1127037458905893,1.1303444969522043,0.9512819553887788,0.9636271431277545,0.97765576562451,1.1842598173237127,0.9379987303122964,1.0750068970999367,0.9795859849177334,0.9694852890024693,1.0597006356559138,0.8504047956336248,0.9147920684663666,0.9273373674538576,0.9743155311580951,1.0621090317117658,1.3357805095170736,1.1524792274601028,1.0297618916645728,1.1238396465457183,1.2385177046386353,1.072738716805663,1.0193746801265027,1.1889380277229167,1.19340940366191,1.0342410376450275,1.1204494110986611,1.2034795386740444,1.1190672683814413,1.0769415249620307,1.138767001668971,1.0760209799408507,1.0698811417689063,1.030606517693736,1.035169241259975,1.060726697546891,0.9873323397502634,1.0128792244386216,1.0178444318359463,1.0118373086967074,0.9282157710622965,0.9745552815367163,1.0579744361277064,0.9890672025938914,0.9388497773251717,1.001886817740903,1.2172382580081456,1.1094277318605734,1.0466683464596291,1.1287410463151941,1.2102720187491918,1.4012104248823225,1.0945080375814398,0.9883492557277487,0.9285581582143814,1.083676939541637,0.9685252769320126,0.9820006123387278,0.917072969094559,0.8826162547787023,0.7641259832807551,0.7746275981678784,0.7289122371699792,0.7616902849639073,0.8066486160396267,0.8838195863301369,1.0006120876325202,0.7704472969913368,0.9182486281633001,0.862905334606535,0.7393982074478209,0.8210033262845263,0.9940413964083391,1.0231964006902645,1.2641161341362699,1.5765705012966715,2.183212610122672],[0.6424591309750471,0.5199397739413645,0.4777468838585102,0.42931831723476105,0.4165572050387628,0.45090294188049335,0.37651405844043173,0.4582987468037093,0.3840953826498477,0.3484492582603668,0.4180645225166481,0.5442022959384576,0.4296360457036031,0.3855713900454846,0.5582079519345404,0.5151352327916295,0.4739475372342171,0.5212732441369228,0.5614913736232885,0.5304223472318188,0.5867534146499847,0.6448948295723046,0.7039351895758871,0.7712349781016035,0.6604825492241803,0.57266889908785,0.4972891697862323,0.4566223027105704,0.46103895231917885,0.4885377191332066,0.5730333014578018,0.5551585239418684,0.6744023744093334,0.6193401203322001,0.5472808381732069,0.5206352168961225,0.5263900880172533,0.47776854178253875,0.46098441967499765,0.47514131154604694,0.680347660341272,0.5564560211457976,0.5425634574136637,0.6327992296106631,1.359736687061213,1.7050888590965392,2.094344230145709,0.8114366540231475,2.2360175709064594,2.051492738514367,1.7063954294215333,2.25923342886856,2.5969435003641266,2.6396448926528593,1.672698763247963,1.0675901276775548,1.8662055341888093,1.0292679594032117,1.3376264014775214,1.040551980071349,0.8909210250871231,0.7205816085112692,0.6000643916549433,0.9330156271032151,0.6217239175423345,0.5982484397257263,0.8001787764431274,0.6841523260581516,0.7870735752683522,0.7805769841368824,0.9453856336976281,1.2950362883499118,1.1725061976211537,0.9436148216257718,0.6772187306712039,1.2343416865833805,0.5664733985109199,0.6089730056901155,0.5440807336047934,0.5509602924273125,0.5649956088058176,0.6213711595247766,1.3194172298321214,0.6659940856859773,0.5994323115391916,0.5102199439100203,0.5124820358209454,0.5990531247535444,0.5293493567428069,0.6310954856864334,0.5998029620361701,0.7902576219771423,0.6489997840289499,0.6387704135686748,0.6037561654585076,0.6841503408958893,0.7202648589956236,0.6182821712302687,0.6027167283681564,0.7826510998136853,0.6045736912188361,0.6834559788605608,0.5640192241328701,0.5948527408260681,0.6072070680639217,0.5732341179549346,0.8039656558606538,0.5708514667352032,0.5808382188775396,0.6861328704224505,0.4925778723030103,0.43663999883095594,0.4115490602431854,0.38267059918479723,0.3967089952441024,0.39931938659625327,0.4824822767791716,0.5964140633176163,0.5345367242742934,0.556147543327694,0.4679254166477094,0.41476869862190624,0.3604918897509756,0.35815872819461003,0.3607713211251679,0.4265191871868762,0.5920026763694138,0.4258383490457214,0.44844368497357834,0.486997522823535,0.45950893890627786,0.511085709159612,0.437169955644991,0.6132605342913824,0.4719081475615546,0.49140549176552883,0.7755619459844436,0.4625666199259083,0.5689115504166294,0.43096551896531954,0.670108838952861,0.6260864634883176,0.5465881723216955,0.47599656204159374,0.42475500460759863,0.45194157801179696,0.4047556601307655,0.4388250418927617,0.4511570433938427,0.4792656018614278,0.5252412234012167,0.5890566430956995,1.077014427682986,1.4723023843944318,1.112310776659828,0.6732827683378086,0.54859973678116,0.544474723345194,0.4949455421710558,0.5806615692720337,0.4680198402180934,0.480168717130176,0.44102105330129776,0.4496681672558484,0.47197730457007153,0.5866761088814559,0.5357390989774037,0.6864099828251813,0.8097180357691398,0.8038177282193066,0.5421394954815292,0.45176369262395477,0.46032437308185964,0.48632788972055707,0.4795756206497901,0.5459990829036536,0.5319267451974045,0.7861132407504255,0.527161173072828,0.5865939034020196,0.4954597574582069,0.5069810015748395,0.49894938661750704,0.49858894716932295,0.507853264816791,0.6166823798759155,0.7393745258705006,1.1119481533371225,1.6923438543839875,1.1473169605539972,1.1677759319225378,1.4112787867258991,0.9842732901069083,0.7917603809634832,0.5225362019642602,0.5442960493700462,0.7198136654884418,0.52604731538841,0.5427379853804538,0.5681408051279849,0.5947216590518193,0.6276950589551431,0.5630484459252968,0.5804838318125284,0.641841866017598,0.6230848056463928,0.6248149120964116,0.643956100200642,0.6984553973694505,0.6585479225979527,0.7134252769643298,0.7659047884121921,0.7430909344385739,0.81229255587512,0.8546103919805479,0.8630440013278238,0.951052906497325,0.9354718472959497,0.7858557438687345,0.7961513792543499,0.839515561680277,2.2888718730058613,1.1974043309201123,1.5819589445120665,0.8270075158380228,0.8196258020043573,0.8819145038522778,0.8723815534640543,0.8616456042961604,0.6925677498521907,0.8358151157292675,0.7491163982353771,0.9716196614490179,0.7225760698884192,0.9041900070458008,0.7664680736689707,0.7392401803150584,0.8113189665809944,0.58295885029858,0.6302117466470021,0.6681258861230694,0.7624740692182901,0.8490798013174113,1.0773332211762559,0.9034393603839161,0.7968390656053292,0.8601230182364971,1.0119769338837226,0.8183361011854176,0.7737265624586784,0.9736573376016759,1.0131557463829495,0.8221803880913952,0.8851272594991612,0.9903840976566577,0.9330476293864667,0.839912376212986,0.9032666485601684,0.8294788840901177,0.8174324838021143,0.7712289488597239,0.7609969397857279,0.7992670711432762,0.7114666935764856,0.7246451315737097,0.728861210227316,0.7381611477810355,0.6726312818982918,0.7044310527869782,0.809365473312952,0.7489443535605405,0.7115226699279037,0.7718571094649842,1.0411182389488736,0.9283120911947788,0.8785841170658045,0.9668153011494284,1.083453007071803,1.2713471816579256,0.9386282647245567,0.7919868359269284,0.7162255074294717,0.9455877058168498,0.8053481176342898,0.8316436761395112,0.814788438710511,0.6824590130171043,0.5450331441489411,0.5292955112006482,0.48843859854624955,0.5205090529211428,0.5320350937567195,0.594088985703055,0.8233942351918447,0.5000914367457285,0.6158344938276994,0.613788049719394,0.510303344908504,0.5385122747544346,0.7081198342464,0.7994240706367906,1.006666796268784,1.248800494902123,2.064383574357194],[0.5428686527478698,0.35816953937588625,0.3568869241458954,0.3704688422239629,0.3252317531467614,0.3492086170392123,0.2925286658214171,0.3498697366405305,0.3215208400694402,0.3056216107360881,0.38360568158898284,0.4888562162502822,0.37466869844234274,0.3689266272809479,0.5334019559324669,0.47422876827942645,0.45185972765605575,0.4995414506943596,0.5456207550142236,0.5154617688638763,0.5788360079882859,0.6435081376501364,0.6948080056534861,0.7637545393769211,0.6421619004473264,0.5581717305758356,0.48263621074391827,0.4397939721043925,0.44473776656753033,0.4496665164242063,0.5475795947466988,0.49376192326334134,0.6133970068111515,0.5692731426591324,0.5020707869692494,0.4854947132921948,0.4693591889134349,0.4473907441024206,0.42294251538098315,0.4275475130664493,0.6493612863964614,0.5505296159866298,0.5163547129504855,0.6087772691690763,1.3501760370970128,1.6935663157494858,2.1148666750663945,0.8007664833513464,2.2075172167554915,1.9939658209900855,1.6721166101067675,2.2341264040787494,2.5451339677463385,2.595719800737843,1.6190684639159634,1.0400226613016488,1.8479359015159695,0.9951555402048469,1.3447181953646887,1.0365140468195784,0.866620804216838,0.6903374904585093,0.573118966598402,0.9032480335959947,0.5901801944550217,0.5722251537728262,0.767052689546932,0.6606234687560184,0.7831624208263114,0.7732756104781756,0.9048494847953458,1.2501107025774196,1.1235274054779045,0.8991913115083208,0.6400376745410674,1.218631151192022,0.5387689985947091,0.5873829847375683,0.5155515323784726,0.5110985104593672,0.5240515707116195,0.5785128299405784,1.2855619547726032,0.5955791308340187,0.5312073711870817,0.45206404270001704,0.46333165118751757,0.5508453927132095,0.4896486520781396,0.5890812207215697,0.5740356966553191,0.774682269642129,0.622821244684486,0.5913707246529427,0.5658780050085658,0.6490593265155883,0.6945228325741246,0.5608150043972819,0.5295700988246862,0.7028827692717217,0.5050254927502318,0.5754778123958486,0.47234046664863477,0.4946329184675517,0.5265344337884953,0.4936049548124865,0.7435695850511655,0.44358559717453105,0.4612312813153333,0.6007945646676822,0.3831846449867505,0.3422670934678642,0.31235553881432665,0.3196063192856085,0.366177115808923,0.3798417138097741,0.47197991274275797,0.6107567965168327,0.5243352988781977,0.5493412034632995,0.45840275725671686,0.40601768507819114,0.37182289158332454,0.34717521592599554,0.30876162391924605,0.35207387495339637,0.47470652336174285,0.3300323853554199,0.3310933311322212,0.3942792912721996,0.3488072758025404,0.406600364838267,0.3415390409919406,0.5351355098939662,0.3928724152215324,0.4246121201739,0.706020606936954,0.417097403165708,0.5602706277844229,0.41446271862571854,0.6658628583252775,0.6235131279826021,0.5388235517525,0.46775204427116995,0.3918319022862732,0.40927747600293823,0.362783565125862,0.3820118738920258,0.369664054727646,0.39167141969893615,0.4188906298449258,0.5094905012244592,1.0238873247741387,1.4448931266765246,1.104588542916992,0.5843826339430769,0.4599059940547482,0.44314655141392767,0.4034355833916502,0.48998483956424466,0.3868350951605268,0.4172638714426884,0.3987527185579615,0.3967375775539932,0.4327515446221315,0.542343253204716,0.479215713465287,0.6463010060951124,0.7709334873019718,0.7756808075107263,0.49624133020531,0.3971402878725964,0.4026805611436876,0.41479205325134616,0.3952379926494177,0.46475542863540514,0.45741999679913853,0.6911312003986079,0.451133930611164,0.48858627030704427,0.4292162839574099,0.41342700095637286,0.4007937379716171,0.4000799716875763,0.4418487896177233,0.5946291160870453,0.7555083422302779,1.128525860547597,1.6952595144142721,1.1083315842757187,1.1752398778493023,1.4656655507856993,0.9841128905349961,0.7526398923551919,0.42546217934209835,0.46275089340031084,0.6814151595596107,0.3912430222472346,0.4006197818863316,0.4352903770065202,0.4328649951433587,0.47791110562146843,0.4192059047236149,0.426191552076196,0.48968988898829113,0.47822772638091626,0.49968907230850773,0.49976260155885466,0.5632362294168969,0.5151997903555676,0.5717770901729398,0.6231859997866854,0.6159542778318169,0.7197624511582149,0.7404391697782234,0.7541897024652526,0.855838275805416,0.8130058560718325,0.6432277589567621,0.6672700459869051,0.7148058970113893,2.306488073080515,1.030048810771078,1.4277388166580718,0.6542996795139602,0.6846992077635823,0.7512583584873063,0.7260201884970943,0.7160420073029173,0.5423675041247182,0.7811801394824964,0.6403219102529982,0.8383253213401127,0.6026842430715532,0.8599673312108956,0.6331795815065693,0.6264684584598663,0.729928123796292,0.4551379786045177,0.5069977768176217,0.5311779444180081,0.6517416032044644,0.7432792643530273,0.9190296985202457,0.7941978495963313,0.6557680061504496,0.6880729920456923,0.8704779294838698,0.6893950885991964,0.6262717712351871,0.827023916436425,0.8847271634973755,0.6935378208467672,0.76109408295256,0.8861643534711087,0.8131308106924284,0.7078846080510122,0.7614606314374506,0.6908657883615141,0.6637281013421568,0.6172503948743073,0.5949136439439446,0.6510715110806271,0.5694540452485427,0.5820569907622339,0.5835579484778524,0.6106886385946293,0.5234972176798296,0.5454591831262922,0.6986035648388227,0.6423555473784895,0.5886869329291408,0.660299764280557,0.9512956507772564,0.7950458048353511,0.7641012403776337,0.8697515151161337,1.034326617467997,1.1813083322094777,0.8301449388947691,0.6716331974842037,0.6086228022581872,0.8694080516502123,0.7051574117603182,0.7346284355056887,0.7180817370546706,0.5646311593795638,0.42141964629090883,0.38972189376198113,0.3630324436467861,0.3741556535576744,0.4006389267205918,0.47136839749823045,0.7768614123182854,0.38582487992864173,0.5426580663428777,0.5417148403807893,0.4067030386523397,0.4604719345072847,0.6661769003574851,0.6745545870809011,0.9295463563496453,1.232062399520259,2.0728438807442067],[0.583799323199043,0.39420768551500424,0.33714558722394716,0.35870708581667937,0.3263878635611642,0.3509273794818437,0.2687464641345024,0.30537843106600393,0.30417569577443937,0.3061733104714274,0.38362393739086925,0.47329640152763247,0.36685794640371056,0.3779274173891047,0.5195595122944726,0.4606473309432889,0.4595366618423803,0.5323873874164924,0.6182422327135002,0.5672867780456631,0.6470135132222755,0.6825262268679742,0.7807913795807546,0.8726328345602886,0.7059529379770147,0.6438468788233472,0.5374259647321356,0.4823142969065729,0.4619741387987298,0.4460374380182643,0.563465389352418,0.48488361692809234,0.6300678592735569,0.5835214828063261,0.4984730012817771,0.49863691767561297,0.4610249719520245,0.48108142769027973,0.4498279311045662,0.4468471957239028,0.6443329494108182,0.5998125117370302,0.5611788713828034,0.5953474987320799,1.4088877867571403,1.7314077590258194,2.278571141898704,0.8261556291495715,2.1633003162609006,1.8396576266905975,1.6422067153135524,2.1340033269001193,2.4255805961885337,2.4447088484626196,1.5900308866811936,1.0079511719702352,1.8034188952185972,0.994692333533755,1.309226705228044,1.0450543913510446,0.9091436413193575,0.7206325071982523,0.6123691929543635,0.9781095085407192,0.6582450483240806,0.6206033204422743,0.8254789245661471,0.705305823853787,0.855912862803977,0.8009371425735134,0.9409209657019455,1.28362217523769,1.11960320798899,0.9784254694684323,0.6621392204263427,1.254883006358854,0.5747651526356238,0.6026812322763777,0.5412485974551162,0.5509825005481099,0.5361994852532441,0.5723176846393344,1.2937255992795604,0.5762656464180348,0.5422853266230329,0.4669996546874784,0.48366470583539856,0.5293209212448057,0.5167140032723423,0.5856661205016633,0.5942299742690038,0.7900347966218049,0.6415505731429246,0.5985881544518826,0.5669206716776088,0.653122386606542,0.6749357497705087,0.5540742556380892,0.5142736204965289,0.7202121182330162,0.49840815556765267,0.5558024143023191,0.44624470861918397,0.47181338501234477,0.5091846284215258,0.468449796875679,0.6939762941726803,0.4048788487592443,0.4104769155767071,0.5757596591428827,0.33733863265398567,0.31653124758789736,0.299932744669359,0.33794056273353745,0.38201307581465493,0.4104891113326821,0.4835721121041051,0.5804797264937448,0.577725094803613,0.558713960583226,0.49338730311736323,0.4404199038941288,0.39625183370786343,0.36238414914981304,0.32124350662455653,0.3372491964914327,0.42664331949895534,0.3064548975273551,0.2937823719239415,0.36314571413644314,0.3154052193586136,0.37609700172326294,0.31487614962201527,0.4901032737034121,0.35475286381001714,0.3834282673936346,0.6916664983142627,0.4099707663304233,0.5689697352390086,0.42832492879773376,0.695242019739096,0.6785360074924883,0.5904967385294954,0.5124523727293661,0.41389972990804025,0.41679598624695513,0.3695722935016239,0.38001973524480775,0.34967541625561965,0.37471905544386885,0.3972752097601088,0.5168603496409,1.0065115881482842,1.5015298213927197,1.1625866548946715,0.590105090034246,0.4434039940256785,0.4231757992743037,0.38635362600819734,0.44680756427916735,0.36174845780085824,0.39207862020731954,0.3776837399561667,0.382780962411242,0.41932684699624556,0.5327056742856979,0.4862217159884983,0.6733077340160893,0.7732917807991171,0.7874121021194395,0.48645779791077715,0.39542428514366823,0.3958580292223998,0.3760949323420804,0.35950425387225143,0.4405884608396851,0.4429438254865153,0.6694086124447128,0.42999977412439305,0.4531753795703697,0.3892633145021604,0.3625945129053453,0.34949267549597063,0.3561593268537767,0.4099663020738268,0.6285345589396756,0.7921457809716067,1.2035955929121882,1.6885188672664626,1.0768812984991445,1.269551273257655,1.6225276868594845,1.0610218413935328,0.773167312211702,0.4122443174921609,0.44020227232628495,0.6602215471598999,0.35599477137077556,0.37458399483404387,0.41020877747893875,0.40700650723227866,0.4612811321689884,0.4033228470839398,0.4053485516607691,0.4760925501624413,0.4744298377639824,0.48453519155939373,0.4901328882920015,0.5666341821397406,0.5122752637618371,0.5539888198738911,0.6241033229509777,0.6304269952712084,0.702831839114437,0.7312153485553795,0.7287266084300015,0.8383876400036837,0.7880778030741773,0.6301802047240154,0.6534551878639053,0.6878109285121536,2.2558906317932195,0.9938698892911413,1.426077246011752,0.6491574647405143,0.6714846618488712,0.7415938588105283,0.7134656631533419,0.6886269139319326,0.521622354764664,0.7664696840142059,0.6429916196128106,0.8171465910152632,0.5753861877589919,0.8416260199462418,0.6016985871103235,0.6016190938808136,0.6897536984818733,0.41656985142757386,0.46723810431434093,0.5087122762548199,0.6428226032575993,0.7317563924140537,0.8904280737952681,0.7813456507594954,0.6404639521690725,0.6783226653707264,0.8647963084699333,0.6759305703302241,0.6265636856831073,0.8273182848450433,0.8878308236900398,0.7028672549099413,0.7660297561455252,0.8921934888579446,0.8206409428240025,0.7194797875078582,0.7694188160639814,0.6970709736804228,0.6654850574960848,0.6100566912421947,0.5824401136108607,0.6505028067989289,0.5659311117887325,0.5745534153233465,0.5694047157902914,0.599154283356069,0.5008393752848571,0.5150800521220599,0.6814444842402841,0.6140943437593143,0.5598935183854439,0.6316243881260576,0.9212015182903828,0.7658216515643952,0.7222472734028096,0.8460343963579786,1.0118320976690944,1.1455157444403798,0.7868358276596276,0.6387324286810774,0.5685773665433029,0.8198432401452388,0.6580678915445254,0.7030415549472082,0.7124495138076211,0.5330290702747723,0.40792531401955695,0.3725249541404931,0.35686502055596486,0.36255924558938546,0.3884182854434273,0.46891171746397536,0.8060409295854272,0.36438078869409984,0.5124972273028716,0.5634429430899569,0.39800229948109894,0.475028106299573,0.7224356364537059,0.6761657082596687,1.0176560792605571,1.4834573851939175,2.517274591080826],[0.5688949471804213,0.38805337989778177,0.31532814434126044,0.36150212251026487,0.32871547135049645,0.34030673060786404,0.2451399996154221,0.28837605188062365,0.29348381065036816,0.29185743729237307,0.33699042317191785,0.4463615142146862,0.3283358200557271,0.35084743621895226,0.47194283052218955,0.43004937865970916,0.4459042818476281,0.5133576117448699,0.6235725682921168,0.5710483450768505,0.6590237869019804,0.6910006489421603,0.8305833247685463,0.9436061075496142,0.7436001726253265,0.6833742986305668,0.5546263727771319,0.48878602654834363,0.4492303424772546,0.4164185452125135,0.5307312957212398,0.4611194124685389,0.6117497981959583,0.5390353347093318,0.45931759125378635,0.4694545550884739,0.4411861486304818,0.4631085864238896,0.4456747217965918,0.4527280279877569,0.6417677980328506,0.6044863229214618,0.5677411171890617,0.583444652722934,1.485153396576319,1.8093266779901829,2.4579668991625203,0.9068444223468382,2.126281659715401,1.772156656209673,1.6451933563392782,2.0809911256922162,2.3119586406282924,2.2835928372201106,1.5054003685975001,0.9364843877179093,1.7656652549585048,0.9176805089636823,1.2622870848781595,1.107623986145515,0.9387177309203389,0.7113187353937509,0.5956568270032939,0.9630578783813003,0.6797942615553928,0.6262938239662991,0.8194621497715062,0.6733717177809275,0.8695062436230041,0.7608698303182927,0.9201907860148862,1.2159845323979466,1.0500557288271208,0.9695394215596387,0.6271423624940041,1.274604233475671,0.5583516117066079,0.5621303416709449,0.5084091940510858,0.5471855761846068,0.5193147443137592,0.5615287011279205,1.2610178014774591,0.5486412366889688,0.5614784579592615,0.44590200357841303,0.47010721513575726,0.5069441826098943,0.4987187563759007,0.530752018645541,0.5525185204382153,0.771247956532503,0.6039567350816538,0.5564080553412305,0.5140649595341504,0.6089720615864502,0.6126131860506541,0.5227173157090934,0.49943945179117905,0.7195857406466267,0.4888605470609259,0.5376089870718276,0.4289097902655711,0.4679353935443515,0.5068320096403445,0.47122502962808627,0.6463222390923586,0.3952413254614298,0.3832028605545427,0.5652852418672428,0.33088863387583134,0.3131880235958333,0.29980108303735314,0.3438494756533008,0.37529387702917316,0.3981740137177767,0.4767616265578009,0.5390101600011312,0.6398210536758852,0.5674234438967983,0.5064240123997316,0.45039348386966777,0.42079242303136566,0.3511613803357857,0.2936489173625192,0.3116407630800076,0.3619394973504446,0.2840465913265394,0.27647993748718647,0.3549480405005121,0.29728255011987054,0.32914643479305306,0.33005187853518403,0.4541658694293838,0.37000223614575745,0.40303508140275307,0.6957117466428754,0.41502805770748163,0.5671525684726297,0.45360716422824526,0.7394131068173282,0.7521598032177952,0.6172978190625573,0.5466147152507616,0.432416928008435,0.41537794228723285,0.374503277134218,0.3636533235217521,0.3394149852280126,0.358374580707156,0.40344481120036557,0.5538859793075233,0.9757804108366372,1.5244805725649047,1.213391508431184,0.5980292197299273,0.4507621494669959,0.4179787958448226,0.37674673386457286,0.40615939858750705,0.3700588212760292,0.37883301530506847,0.38188241602860845,0.3907522820107642,0.4272899550273125,0.5292148502091049,0.5101495133376177,0.71011558040534,0.8160176539899229,0.8266642219123077,0.5129819098525804,0.41057711709570727,0.40803785144990395,0.37540454273238716,0.34762138972977086,0.4357568650285669,0.4473949359584251,0.6433121092593808,0.4260486295213745,0.44024349395911516,0.3798489786963235,0.3578232282823249,0.34641803766345136,0.38308431122141634,0.4374392054402045,0.6638500787463512,0.8010613912040387,1.2518207990740164,1.7122222481543106,1.1069131274085637,1.4126811375066775,1.7980773391835876,1.1942157722805593,0.8632919345143762,0.4790092472287704,0.445329010268881,0.6228772979494974,0.3273362943035983,0.35713182107004715,0.37610955369345744,0.36832077693417015,0.4318367630628668,0.3734726642523428,0.3819675004910709,0.4451263974459175,0.45779795772023557,0.4819635231984301,0.4680710705092747,0.5422475762400877,0.4991515858489592,0.5242015044301133,0.5950677551587192,0.6202623119759265,0.6814941380963291,0.6968373941567211,0.7086664082380569,0.7900285418907946,0.7538776970493665,0.5818461942023786,0.592281212390252,0.6631400345734699,2.157528840887051,0.9791825279453691,1.4157688985602475,0.646359005634431,0.6545872710172941,0.7181431580672931,0.6884469983194411,0.6548498292037797,0.48276025410002515,0.7270469372389485,0.6254982237182228,0.7613907745990879,0.5205293195102163,0.8070260220865956,0.6170370815595132,0.6141206265170606,0.7030074048502133,0.405549800777555,0.4282368545676172,0.4956055361848631,0.6153108838202827,0.7215647292788901,0.8569226051628553,0.759188960695096,0.627387145892561,0.6459040258464738,0.8270655535633143,0.649767432219435,0.6051072202583735,0.7998893229785503,0.8719136627511497,0.6949670482400354,0.7374277331440389,0.8571792237549699,0.8049030513210323,0.695046297229955,0.7379448110213845,0.6569510492992517,0.6236061574156821,0.5691560989024741,0.5400012078452047,0.5905989752774665,0.5179636241649836,0.5272186989754418,0.5138587086222701,0.543139666950772,0.45863436439738925,0.4743878465245013,0.6515829864696081,0.5916000892615937,0.5662164919705068,0.6018684246715625,0.9254243129055051,0.777123772046327,0.7116900336456463,0.8685991025219839,1.0300066650979665,1.115079392765756,0.7703114086454167,0.6137877727657206,0.5229553905930547,0.7884654313895092,0.623811409961381,0.6786667231354925,0.698307567416117,0.5322865460553389,0.399127209047562,0.35545981478871014,0.3466388197536459,0.341356629781574,0.37220132972756925,0.4405758057272057,0.821201526552387,0.3582338080997626,0.46679604011270587,0.5561861433822199,0.399308473855301,0.4517915636640667,0.7211269174103958,0.6744729440297293,1.053656960652228,1.6879718458251778,2.7450553893014047],[0.5951941596373346,0.4096272882989035,0.386693330320872,0.40177069483848943,0.3462995277737332,0.3869249855093213,0.32560293597183354,0.3549752028198542,0.3171140127490665,0.3081012910602795,0.36776031942606907,0.49524659728480164,0.3927781381162831,0.3677889263636181,0.5337543511817043,0.5001141987000982,0.4834850118058927,0.5792149699947898,0.6614730277102415,0.6159471199779426,0.730213615658003,0.7473754735106862,0.8862908241126347,0.9965500548068889,0.7230392363319083,0.6873578784370111,0.5751717942615948,0.5196670907276356,0.5065977571448435,0.4994813772421517,0.6077108599641089,0.5409015497193206,0.714181113230142,0.6417290611559844,0.5636234968781998,0.5557186880393382,0.5309782959155505,0.5336368798325768,0.5079629490236386,0.5206541051375803,0.6339463385467372,0.6381064362484726,0.6213975495359501,0.6139436753248918,1.5673059379593441,1.8378520514894445,2.5304539118873093,1.0056829520381816,2.159582880664806,1.646346395445209,1.6954182236273656,2.023591759825452,2.307719426876014,2.303953514532049,1.6414547784824456,1.0296000655286173,1.7622050622951262,1.1417968628444393,1.2403439169272956,1.033185006009561,0.9921048695121841,0.8040227487623987,0.7040591906990727,1.1307483252373598,0.7793108583389403,0.6969094193836602,0.937453182475953,0.7680976613415817,0.9254046622738094,0.7893641125310945,1.0426264261530744,1.4109608016841484,1.1948757212143815,1.1314913126019128,0.7381305703855456,1.3621342044989821,0.6600751322643769,0.6698541255004921,0.6172896427475885,0.6388600131080229,0.6118460936492573,0.6115802026070996,1.2721826963532097,0.6719421529778865,0.6356418170675091,0.5258856729807067,0.5521626933891259,0.6024261699574032,0.5943184033186584,0.63834949345441,0.6627892698790051,0.8403893101518501,0.6942954153850766,0.6575116532757147,0.5979329026298315,0.6802839731543147,0.6740605347948553,0.6033082734858694,0.5935689484459753,0.8345675115900103,0.6039111234928574,0.6515057839436492,0.5341390971013532,0.5820688537040459,0.6505387931192622,0.5385878292451409,0.7275187083635998,0.47016553232797426,0.4635944414037029,0.6438041187246556,0.4185947632034346,0.356302782706002,0.3248148775347859,0.3638258664217911,0.3976986223747809,0.4168754932337805,0.4858417545243329,0.5531830497067485,0.7212154713089375,0.6410841586077233,0.5555416035089342,0.4678241210256348,0.4360616773189367,0.36800284943726447,0.3105983590150079,0.3131482857574003,0.3659488121227735,0.3631936293429648,0.34656868274652636,0.41724953132539816,0.3627088134872455,0.3967160671487555,0.38072349353515433,0.5440769377513814,0.41783023810585523,0.42715899132580454,0.6846321618032544,0.4398031022743705,0.609350217749624,0.4619347330723185,0.7359475141426707,0.7507763439071571,0.6243479453261266,0.5292911518595242,0.45702982615357307,0.46227763510119246,0.4067484416638787,0.4118004907699492,0.40811869507545095,0.4111563581256788,0.4763487847422575,0.6050306276034808,0.9821883254569262,1.6003901753628427,1.270081205531865,0.7090614338749835,0.5487053327121498,0.5237772716010511,0.4957917558269358,0.47738889063884465,0.4267503264762304,0.44000478607858007,0.42393305069265647,0.4534040826797138,0.49169946460887587,0.5349306491916785,0.523922797444847,0.6689747357606473,0.7468620964996899,0.8075251376551039,0.5219514806729143,0.4327810190033465,0.44365614469960746,0.450945368713681,0.42265687642058186,0.49232249406344897,0.49873316716576255,0.7386370423636183,0.4757643458670483,0.5515513645220452,0.43486640133735444,0.43482050417914886,0.41598523779688573,0.42008025506385044,0.46708588368580023,0.6239018302844435,0.7481701303317568,1.3165826464138464,1.5835637837314425,1.0488427409156411,1.4048523591490727,1.8052780417770777,1.1385397189832047,0.80338744133002,0.4792047785632205,0.4716723820285372,0.6857176655436581,0.38789853988405004,0.4031507619281918,0.43279210237453347,0.45207079674626544,0.5207579025974421,0.445030524374185,0.45191494641138696,0.5328349341200029,0.5342228758881366,0.5203013395336518,0.5318861437132248,0.6301110641088071,0.5684941808685687,0.58655890521504,0.6693058755107909,0.6958797534945811,0.7422317489352174,0.747968452059794,0.7425676968193595,0.8368823070112978,0.771131550074679,0.6252677786452038,0.6611017587299026,0.6846422153549211,2.3643330310677757,0.9666768552079549,1.4416183322961793,0.7266404790391848,0.7811267192807615,0.8361392533934209,0.8378246964754482,0.7416380813282383,0.5700491136270386,0.7993358566657006,0.6947901349995256,0.781476577785218,0.5699259327713453,0.897716422125338,0.5732250961997666,0.6200384359810625,0.7138606059592095,0.45946343072262663,0.5374878552816275,0.6222063548124398,0.7171850967134245,0.8285933149978812,1.022037819915641,0.9197338671234763,0.7393950892168257,0.7955187880382554,0.9873072857796633,0.7743153042272478,0.7384880015851171,0.9394105463567519,0.9833773243242808,0.7814162568700103,0.857996465772592,0.9855065382560235,0.8951457937606014,0.7928040056967011,0.8548130129199641,0.7615860030686749,0.7531800999170238,0.6967006011163812,0.6746775862145694,0.695433475302264,0.620044392268334,0.6322654263425376,0.5947907360923922,0.6088069495991377,0.5218490672263754,0.5477109525290389,0.6689900658642738,0.6141537515299246,0.5847317077677742,0.6181263833901628,0.9166391570679013,0.7661953846346373,0.7138597773393599,0.865209429632335,1.0617142834632118,1.0801382661465866,0.7747017898583456,0.6504241355320168,0.5918213649298287,0.8374066607412752,0.6477340145832945,0.6790945639787671,0.6970123820094519,0.5301779379336409,0.41966109482530684,0.4011189427066484,0.37974425163076003,0.40756515257854586,0.517371831521091,0.6177937212628313,0.9096716856178421,0.48153077370970426,0.6244349052167569,0.7292740630401071,0.5050455605989617,0.5738943987176733,0.9277841369320534,0.8807146542195685,1.2362226378779815,1.8407730693560185,3.220485280652427],[0.5707764709128257,0.4069476496741089,0.3342137137364411,0.3739304673039101,0.3623088707174139,0.3665350752881485,0.3004645703501378,0.3064395889614373,0.29846736165892385,0.31975984271769187,0.3422371313054226,0.4479538508417309,0.3375612874046849,0.36365818452083204,0.45836708300163176,0.4391092865745204,0.45434104176876766,0.5247748536413676,0.6662144785785039,0.5948756045613175,0.7098086289527413,0.7332520144352946,0.9000705692280386,1.0410191317579713,0.7666092043421757,0.7263895733957453,0.588475098909474,0.5071810629500595,0.4524286174499434,0.4401503973939341,0.5423267434403501,0.48565171328478807,0.6729883513204897,0.590889496493442,0.49707729704483244,0.4916251851672131,0.4754735612864533,0.4824938526140843,0.490001055565918,0.49204119025564885,0.659555955844159,0.6508606031742534,0.6354604423050795,0.6316645039487323,1.5676536850161213,1.9036198955322894,2.6713388559090023,1.0721988851809883,2.1122170757232874,1.670716495964311,1.6693274666040412,1.9991881313598403,2.1712109813588394,2.115371617852514,1.4529020716889496,0.9122698293450171,1.7091154441951217,0.9413720314620567,1.2141425539887998,1.1749950132374125,0.983557135758204,0.7525128918669429,0.6413277991822918,1.0422205711364352,0.7502558118195218,0.6663935462006949,0.8506609744688829,0.6883107615338897,0.8980851101475547,0.7260557044617285,0.9282896231231049,1.1820412270661969,1.0084406175141667,1.0204876931380673,0.6473126250493915,1.3295663886913354,0.6059807037609231,0.5910296900939658,0.559067608043216,0.5840651635504241,0.5611882490310259,0.5761591386097241,1.2249748546716228,0.5472583130900173,0.6180024386628855,0.4666129179071084,0.493375113149196,0.5527243223748507,0.531792214202573,0.5840843135484899,0.5932306488396412,0.7906988012897824,0.6382955539938973,0.6094003092222923,0.5383781519185559,0.6581501253845956,0.6050511628871645,0.5589155143949075,0.5430369468823442,0.7684850118634025,0.5308894285541375,0.5670050238745568,0.46108896992657633,0.5112435339894013,0.5574964944314605,0.4912036971626325,0.6509378029996219,0.43126534821364676,0.4081342095267715,0.5901411507784022,0.3634804408476235,0.3395054182071272,0.32943471285810566,0.38968431690754957,0.4117183915808947,0.44870979280931766,0.5082837769569393,0.5668158192468293,0.7481561570679388,0.6082420196170979,0.5577681388807021,0.49387203580413025,0.4965175632102163,0.4096331553526631,0.34196538703742885,0.35202859676002457,0.36150285160744583,0.32731584395026014,0.32483793077049067,0.37818551052804494,0.34971268297669467,0.34876840360915257,0.38390467069904877,0.49518180282445884,0.41116918140079894,0.43293921691441317,0.6989750186992254,0.4661680349913909,0.6053606926029595,0.5314918722197979,0.8311422110180937,0.8748802357520928,0.6908241460660536,0.6054356887785042,0.4683768138083325,0.44485521545025164,0.41578038027719644,0.3816524213909964,0.3765049286869461,0.39019202400666125,0.4232247155536301,0.567437933678778,0.9222657638816819,1.5225588320290628,1.2582231649489382,0.6514260476708779,0.48477517248568475,0.44617540389609117,0.4155423981222901,0.4223200085636745,0.41297984537949295,0.41683395804364903,0.42142589805814534,0.42592889486858926,0.4764406568667108,0.5801988624459008,0.5495871470755299,0.7447567839745394,0.8397398338436853,0.857374522875992,0.5465224262472285,0.4593791862039176,0.4454060936815948,0.41959892729717113,0.38129199612948944,0.4537354923719601,0.44988068620156035,0.6487508061266414,0.4444823243091137,0.48427774986374655,0.401699987737233,0.3899997844860942,0.38708415956331227,0.41119740904178775,0.47182558364901206,0.6685681103411305,0.7997447892963263,1.3497466790054673,1.700973547767395,1.1299512253161657,1.5091243259015656,1.9380496720159415,1.263684586667257,0.891648637926962,0.5180713763662886,0.499582638980192,0.6556618866408545,0.3767148292407698,0.4038559235365466,0.3963496511943647,0.3659162070132464,0.42690683928730955,0.36795114431092596,0.3893741937655592,0.4298960481405646,0.4465162540229415,0.4908304442610671,0.4483247222189745,0.5268111148555314,0.49028665153611867,0.5159292431320511,0.5778126417020721,0.6085132998548455,0.6714006164969325,0.6861729127910285,0.7054865394114724,0.7785157626748042,0.7355943684335796,0.5600120444814326,0.5726678965329428,0.6579802982846177,2.1684836637362177,0.9781864312400224,1.3900358558775603,0.6270073358886046,0.6504832975793351,0.7123062647347973,0.7050954139429857,0.6226296851059356,0.4752354368028025,0.7365897764147489,0.6386885396058565,0.7265682183253231,0.5191066976885756,0.8611935432772329,0.6162147368591693,0.6175989155703709,0.7322039901912794,0.4206858762819126,0.46479529612916004,0.5489054590746749,0.6317947340820452,0.7663588222728023,0.8638458393165267,0.7973671742144027,0.6501545714937775,0.6512237993760891,0.8519510480321918,0.6590965883867421,0.6057802043455924,0.8043425542713837,0.8767191526726918,0.68480599856291,0.7283593494205225,0.8600367539277938,0.793634960260326,0.6751005943204337,0.7219714490557823,0.6373478194190288,0.605415014106991,0.560968524640888,0.5318732519328329,0.564103789015483,0.5027711138072872,0.522645637265791,0.49467996974725953,0.5247936175774814,0.4605738321634729,0.4764932894616828,0.6452088004710083,0.5973537665527565,0.5630902835517598,0.614736497098035,0.92123036605246,0.7902601928714671,0.7187431465508232,0.8989733931170296,1.0536518184902952,1.1003854685014014,0.7717218218464995,0.6171569756755616,0.5285659505544965,0.7767645705728764,0.6312365710971992,0.7036000890305192,0.7184565912623481,0.5374255787979384,0.4353330616742087,0.39143121320183033,0.383491878243429,0.3574472567544964,0.4015702097020186,0.4799795243845415,0.8601326304271935,0.3906413355372123,0.48874771557258495,0.6037154487498038,0.4285590079926734,0.4726480368565613,0.7685252978716848,0.7355496976927455,1.130606159365508,1.8630762189776984,3.0868370973898225],[0.5960407714557533,0.432270321941016,0.34442003302651913,0.39304473919807253,0.37384666314158777,0.38368824851143435,0.33881683030378607,0.3910438849472491,0.37025959618160353,0.3888114338233858,0.4547288289119855,0.5939761802109735,0.4777807834210394,0.4410081526287086,0.6275125346895506,0.6276281199706936,0.5530198452424843,0.6516078036346176,0.742881924209397,0.7060667178050832,0.8057277317760251,0.814251489329934,0.9852131624282244,1.1365868761533613,0.820659091320127,0.7866640110702234,0.6532253453526964,0.5724470172290869,0.5772485432000497,0.6076984363086677,0.7414507586398571,0.6891006862724726,0.9298283256157817,0.8294886036326077,0.7179524282513814,0.6836022244304633,0.6664847184398384,0.6268998406948818,0.5996234754135421,0.603373752245239,0.6950609878286785,0.7421207227161466,0.7365971770133165,0.7515867781459755,1.760560659089149,2.09880163017412,2.922401231362592,1.2917283769225996,2.1512332560916683,1.6912837993190113,1.7937166240261575,1.97958741460102,2.164449479231969,2.08896624278238,1.5711779786992062,1.034395710363062,1.7447178535945473,1.1043528528095374,1.2346235281071969,1.2208657945737096,1.1172272690911709,0.9223664791906913,0.853331645564546,1.2417832764437295,0.907905275629475,0.8008753643448587,0.995949717444808,0.8407378708090941,1.0073804118510137,0.8085170723601715,1.0391285284391458,1.297697852059882,1.0942770231201644,1.1892751190158997,0.8317012748483467,1.4708701199672796,0.7977011766607666,0.8288427631272451,0.7693413639462832,0.7792907690322389,0.7573990961588299,0.7231020793421857,1.2609846805457923,0.6826927085053136,0.716804248496104,0.6091848526710351,0.6607681996066962,0.725799427537601,0.7224362353452566,0.7910506112926617,0.8290284959990962,1.005104832039979,0.8996661366161424,0.8705939221088932,0.7762073331080346,0.8935651825312193,0.7976158614970571,0.7911146007891786,0.7513348028647504,0.9413170963907636,0.742089854753056,0.7376464957698592,0.6312924576896947,0.6265953573722792,0.6545889828543037,0.5602074641700284,0.7012152902426115,0.4779364507050805,0.44300684983254596,0.6754288841039645,0.41433480865942857,0.39735317215605925,0.3845843054006749,0.41073045513420686,0.45774464809832577,0.47351867199127784,0.5455344769974326,0.5975482033035698,0.8599363921614718,0.6904916789711962,0.6238019435266532,0.5364348321594159,0.5216564972629814,0.4240836508423315,0.3417344105942011,0.35802923790695435,0.3636978059382128,0.3559695949554755,0.3527571240228186,0.44554193563952565,0.3798758400089711,0.3966743532622432,0.4082889844739843,0.5354648124148674,0.4434296489088318,0.4667939704930986,0.6766954613801132,0.4953904370806971,0.6379053071857865,0.5568175488128813,0.8663372774956174,0.9345630174524169,0.7286374648142911,0.6382879536655441,0.5264220411347635,0.5243588796177793,0.47179883059315086,0.4705084688655024,0.4601088109333379,0.46547672838040033,0.5343060450798353,0.6772539530193179,0.9594177465127417,1.5853592998287194,1.3635373521180363,0.7903915393991483,0.6579700238181598,0.5926683273523375,0.567124730515331,0.497803123272355,0.4626832157213258,0.5048191940393872,0.47368327239976,0.5090310622164068,0.5394029544707364,0.6161134189173194,0.577538041860347,0.770167860059195,0.836486715481558,0.8759957570500126,0.5672042953522265,0.4852954924934603,0.48737528532268165,0.48356787863145334,0.4753506331306818,0.5480076219035622,0.5824317376636364,0.7768583716813628,0.5518186263924849,0.5924655817478661,0.4862712533790511,0.464212359277098,0.45518423800071905,0.4732494505412409,0.5326573731407294,0.7143059875316713,0.8415398882822004,1.4579115458896519,1.6721954717687975,1.1271436833096742,1.5510158125469071,2.008814754482519,1.2728307866058313,0.8823762350200981,0.5208452952756184,0.48190265752443,0.6389937155484918,0.4008236182290408,0.4090542900661899,0.42422202452729824,0.3899460529829165,0.4591040988490351,0.3948152273694205,0.3965935720112015,0.4413627891149959,0.4579497470342359,0.4955313056219118,0.4572586534227667,0.5420210442680777,0.4986927050259746,0.5257465160326623,0.5927928433494322,0.623483171666621,0.6874801734634144,0.7050190181114325,0.7266637428621623,0.7889544003975403,0.7500818581085894,0.5682597206662523,0.5854730335705511,0.661473941892128,2.215626291806968,0.9800749942323707,1.3998782008131836,0.6415534159885636,0.6865196242637991,0.7485328245372347,0.74602340357535,0.6364232185425898,0.49394744007728947,0.7519363222718757,0.6684509360049696,0.7462704482839339,0.5386671143360912,0.888092663179143,0.6121294611429915,0.5982517148447202,0.7283726471580297,0.4263461305932174,0.49677789293579877,0.5725253157186074,0.6749625457768413,0.7953176978676614,0.9137792070653818,0.8543965731817115,0.6845887907186909,0.7088584698421072,0.9241394801584932,0.720545018934904,0.6515800320135197,0.8544872758010617,0.9176093969528258,0.7048163835460343,0.7611664248541418,0.8962468141601605,0.8076401277584359,0.6854365773258912,0.7382949860293944,0.6569193978595622,0.6310789654735744,0.5914368185206192,0.5607969995993585,0.5792686975865322,0.5195935974869883,0.5568262394226059,0.5087664829204807,0.5345370213759134,0.46357330609042396,0.4802781811545407,0.6379159641928126,0.5986713516653924,0.560883517820088,0.6122130364576701,0.937939405168083,0.8018023703783492,0.7345848067851863,0.9320154439103808,1.087426775212634,1.0977512520821335,0.797902151463383,0.6392009228001005,0.5578030407361748,0.8114833520994117,0.6703043484353446,0.7408424197389415,0.7438825059350432,0.5494136306761521,0.44959560947315164,0.4013443716703323,0.3956559678668089,0.3672037501148756,0.4534963021416551,0.5408266577737835,0.9083097715260731,0.4328947389075485,0.5375736469035712,0.6605983332299723,0.4682421539956795,0.5040035703484371,0.8374739104611696,0.8164376998661669,1.2048842705171858,1.9448099703993897,3.289399816322293],[0.5561631621457735,0.41285444042398683,0.34706942987053785,0.38046802789933537,0.33704626270800364,0.36873640246632355,0.31142484297337253,0.34553210553656294,0.31041722504065977,0.33177642332065665,0.3814715028580994,0.5336969422850264,0.41245864964395423,0.40140858043306804,0.5472432701133098,0.5435789251295684,0.5142015609012673,0.61984393384443,0.7371609238141902,0.6851239774708243,0.8115866157289353,0.8118441278025408,1.0016614338324066,1.15649566383209,0.8083578445969027,0.7726949194875341,0.6325261466177496,0.5587272360550645,0.5449020031708066,0.536905106482495,0.6708601571890157,0.6156330140204884,0.8348332572206,0.746703261925669,0.6496477590205493,0.620630166945358,0.594776153361469,0.5804217511932899,0.5555618118975525,0.5682508227525176,0.6795795543785184,0.7134802369214869,0.7094366394337648,0.699573594528537,1.7457429354194185,2.062569730684383,2.8788258406617357,1.2590877508599032,2.1394286846123336,1.6568504649113913,1.773295593249958,1.9527672695599507,2.189665286208817,2.12373060064985,1.5932154759026997,1.0214180172029896,1.7265007081808033,1.145519556829379,1.2284199370644215,1.1450643889150875,1.0852860457524747,0.9179708434829454,0.8391609212592032,1.2691806797063707,0.899617414704674,0.7778667500800336,0.9996466479936083,0.8076190548014166,0.9872900447411843,0.7844990346103135,1.0674518117277763,1.3641990970229212,1.133287876953122,1.2408424339451858,0.7963807698192029,1.469896247398365,0.7600750718830579,0.7755119996255746,0.7173424254922577,0.731192481755463,0.6985752232738968,0.6587065489303405,1.2341695455171038,0.6717922437294221,0.6957692196490347,0.5600056881799919,0.6173034492069817,0.6632922287459498,0.6666122213502227,0.7252911980768492,0.7512574605715314,0.9505815775397893,0.8077843754070999,0.7772006760467297,0.6831564529841154,0.7783971773508753,0.6990217020065531,0.6875944908144578,0.652889294609262,0.8787035856035126,0.6666618230727622,0.6905080524998435,0.581642351401672,0.5915712356654225,0.6730775052307041,0.5299455193698075,0.7089449064851634,0.44988875427470476,0.4357111342166187,0.6336095297662481,0.39263836150776044,0.35507401521193344,0.34109707516028515,0.38149066636382756,0.42971791855597574,0.4579050497301127,0.5295396954083986,0.5885423738491763,0.8389418313873566,0.68976740985765,0.6125508350095733,0.5224152186308555,0.5014580392756179,0.4158293855205408,0.3140773421473022,0.32327431417920655,0.359485396260061,0.3254374976816181,0.3176992975007633,0.38774802215864096,0.33898491027560357,0.3620122660874403,0.37247005850907555,0.5200558379973519,0.41771611834123407,0.4404689907021391,0.6905425188854517,0.46481932889721417,0.6105536829403247,0.5366239623267373,0.8486841871108597,0.9167498610080691,0.7139356545838657,0.6073009494523596,0.5046985744025707,0.4967176840181973,0.4467029393819005,0.43172465028714613,0.4268281136667913,0.42822799934165207,0.4859509107145379,0.6209982608333179,0.9859372493597154,1.6118448203108253,1.2722704113079886,0.7439060033286974,0.5752254770257595,0.5390188314180931,0.5281024302440113,0.4809644307155463,0.4408958511925512,0.4679515329127192,0.4603335500726261,0.48281112371306506,0.5217751021406809,0.6005050140195842,0.5595498764281768,0.7419426161710015,0.8189663108918388,0.8542553820039543,0.550431613504982,0.47349568422202853,0.46669385396501617,0.4701371377997079,0.43980225563441466,0.5111716711933807,0.5250228711916942,0.7455238355292942,0.5034172614559109,0.5709918411660728,0.44920662919911725,0.4409535718744256,0.42444146001673266,0.4355694810127753,0.49156933380025086,0.6818247298492613,0.797752133457548,1.4042951986115804,1.6501870318461342,1.103572032440313,1.4891191120772742,1.9203485036597139,1.2224540837756237,0.853199469808605,0.4872629068071026,0.4659873213983721,0.6636021080188519,0.3558151472808309,0.38732597354682374,0.411763536356415,0.40810785012771217,0.4839719363579586,0.4051071412222182,0.41467392693183414,0.48948433859006957,0.4974103438930151,0.49799977969451936,0.49430063008581826,0.600313386676517,0.5415458649715055,0.572956782146386,0.6577967614825628,0.678557643860841,0.7161010859151207,0.7526834683588622,0.7456832132801208,0.846643046872954,0.7857105095867007,0.6253155081817175,0.6648228348116547,0.7165577361579402,2.254189951417963,1.0288566785768858,1.4685793670858034,0.6982864053917386,0.7343406975147453,0.7904986523823145,0.7818314872932782,0.7013304971580909,0.5235917605288511,0.7443468253246881,0.6541509484118738,0.7785444263073337,0.5473946249737041,0.8680026912522422,0.5964091401475409,0.6045027617915826,0.7062511703461071,0.4248300663408844,0.49123251379746097,0.5834686598765817,0.6702109980102827,0.7999343074583647,0.9919257056689129,0.8977436454566367,0.7109748769475263,0.7837665417891915,0.9922983559075217,0.7650701531936501,0.7090531223572997,0.9327576610101805,0.981496007743612,0.7706277848951393,0.8495664327346958,0.992001161118717,0.8914368060420714,0.7813600081721145,0.85428317358482,0.7534190764105096,0.7327961122205346,0.6726965113323702,0.6395689223154574,0.6734531171186402,0.5874485930762496,0.5999038815748667,0.5770676509690227,0.5988477439794908,0.5031647625123619,0.5226581960511503,0.6818998681028641,0.6276448914739383,0.5697378718303875,0.6315257474016213,0.9358194348759871,0.7941697169715707,0.731682674869185,0.8817874412805111,1.028883840728646,1.1513382931373584,0.791243632734014,0.639277804096951,0.5551028487526424,0.794401705298649,0.6405892706549658,0.7032184218695527,0.7170820266689298,0.5452392445498229,0.4171349029123214,0.3765148553492761,0.3636949055991443,0.36894306054755027,0.46641664701702623,0.5770665363383918,0.8936196303234828,0.43945919135823014,0.577777209286971,0.6850274926685795,0.46850746350618483,0.530313697736642,0.870612254352044,0.8485183402908418,1.2491493963734444,1.8656273282922669,3.2450854566437046],[0.5797463605954946,0.41493956329645126,0.34405924180127134,0.36788366127328664,0.3429795726797458,0.3476999724659521,0.2760276730943137,0.296196266726322,0.271785924686381,0.2868071613047228,0.34035860960971903,0.4562662561595154,0.34405822504950534,0.3525303328773753,0.48880249216039084,0.47044958082595356,0.4624769418875854,0.5463282818533962,0.6792550987918202,0.6138762746141586,0.726528071744067,0.7444034735890084,0.9118307298782864,1.0630508400346739,0.7715485016122122,0.7315345032090016,0.5937196490901097,0.50946665898383,0.4740584275511199,0.4576106091744284,0.5846948836791342,0.5154647283036842,0.7152669995793732,0.6285991371103042,0.536355591383347,0.5211047416747943,0.4941121869119654,0.5033630709176314,0.49254443387022473,0.4948284123899484,0.6557617858436038,0.6566122118908498,0.639147738153742,0.638737542731625,1.6054534081873955,1.9266713224557572,2.7152953362456094,1.1019411118446025,2.1009400079778566,1.652222691013252,1.6873038379149459,1.9899855703931408,2.2087918341212007,2.155599142922844,1.5112189716683089,0.9505919167468315,1.7192844803368674,1.0105337286452436,1.2240945441035904,1.1117368321123782,0.9975791098764856,0.8086157262115372,0.7059510189755923,1.1310194449351847,0.7914792548161272,0.7007876549696784,0.9017212640991457,0.7277097326672778,0.9358140609864629,0.7391820189226247,0.9800777935993517,1.2467216821129772,1.063961694787823,1.1090177650606599,0.7065334002688697,1.3782048095468264,0.6569571625913242,0.6572675161350261,0.6076807751302272,0.6177031501844588,0.600773568052578,0.6057618059987739,1.2464916281003684,0.5902834021740403,0.6232231831320487,0.48832037651274096,0.5215187599701382,0.5661642122018071,0.5616513872672957,0.6188017824878684,0.6545297833108896,0.8504147505964876,0.7013664931604546,0.6607299856849429,0.5817852259904867,0.6886105758716934,0.6372519265212965,0.5859274937786658,0.5597021537467267,0.7981124937153411,0.5611770905133454,0.5951212411497223,0.47634992230014717,0.5132164423413718,0.5600220040036505,0.4723923151634502,0.6599559457672229,0.40347513289279774,0.41008019879240176,0.5871311457155716,0.3474335377928528,0.31233414156982636,0.29428401235617807,0.3532563814420952,0.3883854958493972,0.42337391161079646,0.49178894817452107,0.5545791730046757,0.7630913051426839,0.6279329781131858,0.5660846372609514,0.4882266121220204,0.47794311870624906,0.3796801073982297,0.30045919650345804,0.30691341477975387,0.370610105848135,0.2932511032252302,0.28738455929187995,0.35092215109511465,0.3098462261234405,0.3300229474059958,0.32383837776952246,0.46331132071740727,0.3612002812699603,0.3946203338970146,0.6735571056260973,0.4360195419781818,0.5964824748386807,0.5010099140437454,0.8290634309117664,0.8593421421446341,0.6629421619360997,0.5839930003401772,0.4544082546704803,0.4379514654500997,0.3943185883351236,0.3662175783257585,0.36229385852245627,0.3676835120838333,0.41995001894110107,0.5619047761221706,0.9762538901946328,1.5646649718926624,1.240868576743131,0.6667106202358216,0.49347213089801334,0.45584597524170395,0.42652894213908726,0.41637804846168097,0.38035448875744016,0.4037403972506322,0.39457807555877317,0.41861691832478604,0.45001828917338665,0.5559150447351529,0.5290844543119321,0.7309713645833942,0.826063992996376,0.8396142566046385,0.5209336007985099,0.42154169117848606,0.4124227784966215,0.3920919957504382,0.36827275483266614,0.4421558111424818,0.45951692928884574,0.6823508289182543,0.44394364948859655,0.4888047391304846,0.3771842433731708,0.363622857611953,0.3622775138417113,0.3756891958101356,0.4335510213139423,0.6428959294080052,0.7828810473642039,1.3254617870980954,1.6774013905619962,1.10648518334044,1.4724704965672677,1.8696847086798856,1.218676025593327,0.8547570972282671,0.46703963609204774,0.4554385691223999,0.6399675401970848,0.34199769040113004,0.37521366476288975,0.3953117355618816,0.38469823332257846,0.44211262404266455,0.380014311087352,0.40102215593825813,0.46486068967471256,0.47054380142730096,0.5029404601317917,0.48837100705191655,0.5733226694425881,0.5249869665426773,0.562435440140139,0.6456272798873043,0.6594230394045524,0.7044430876871682,0.7485491461458595,0.7421742398455904,0.8588254063932369,0.7942973063810082,0.617779520741505,0.6563644675374981,0.7281965886285272,2.1880863275918316,1.044121228599104,1.4363150061023413,0.6670337679704862,0.6976559890391808,0.7585596247775215,0.7390043731857157,0.6830588495067171,0.5041264213350439,0.7336145885521603,0.6332682574707182,0.774906113805634,0.5294378784016577,0.818926762160279,0.6113193373024289,0.6015690739506306,0.6974141065008491,0.39895261116440767,0.45445348112463074,0.5443640461383902,0.6459822141895183,0.7660113997968913,0.9074231972554554,0.825328883801999,0.6609302923004728,0.7039302391247003,0.8930521412046226,0.7011917108364993,0.647557558093281,0.863003747833589,0.9208115281592548,0.7207085498280085,0.7894385354008034,0.9258540224492905,0.853878890424684,0.7474415840704356,0.8091388717952349,0.7117278443403621,0.6803716096545348,0.6218830897353682,0.5934024705340535,0.6379523340497317,0.5526406453100167,0.5668431731267658,0.5516641095250225,0.5782994441888872,0.48242684017101733,0.5019631950635953,0.6841730348215487,0.6176009787836395,0.5672686838402219,0.6297317996496613,0.954171032423853,0.7929379061239893,0.7330975880651441,0.8885819320883726,1.0269852137067532,1.1770557813698617,0.7981217026841945,0.6386330027366706,0.5457874115509022,0.7894023892931287,0.6465318333225083,0.7179063526257854,0.730064849201286,0.5534289611723678,0.4207356709669066,0.3721694594432668,0.35305112249216325,0.3554473522018898,0.41005461677603816,0.49982607504303467,0.8495161633336465,0.3962554635908782,0.5271029260360979,0.6126122705694523,0.4289436326570828,0.4827095593115954,0.7732856667889052,0.7664522249551512,1.1445881939605238,1.7298344375195545,2.977417381730685],[0.572111219237407,0.41420881316363506,0.365626389650423,0.3861708165626819,0.34157141728500773,0.3723595954988841,0.29553447796428683,0.3295721802076609,0.30257870435576073,0.2889064437732307,0.34409112278110854,0.46018903874199324,0.34649813544895325,0.339477410890058,0.51062055633489,0.47531931678270517,0.45506416755657375,0.5362180054827373,0.6318613660275726,0.5791844278044601,0.6839884084293206,0.7065424488183795,0.8523048309183225,0.9696222083898972,0.7162190692975317,0.6713120668489875,0.5485637432923585,0.4856036327138726,0.46133528982920863,0.4514535188873926,0.5827341352636115,0.51765011299004,0.6920217481726769,0.6189081855340413,0.529283594509233,0.5138049416050805,0.48287635147686786,0.4809951919431799,0.45582146967867887,0.4598926132805657,0.6251102151537618,0.6081749032049754,0.5790152527692932,0.5806717289678044,1.5175374621108493,1.8113570311190783,2.512824958056026,0.9358877705229978,2.1105339572817003,1.6915851471423897,1.6455251930398391,2.041347038612996,2.323729452301119,2.2980182664528357,1.577941766005395,0.9627353213478682,1.7537865971164521,1.029319141736433,1.236735998670301,1.0395298882198365,0.9558620044640438,0.7571905484443945,0.6634966910890276,1.0634543262969813,0.7256422749509238,0.6520498539543311,0.8748328329929322,0.7176376725696364,0.8927741557586559,0.7585387114098647,0.9781679728271668,1.3018288798535047,1.1206663454977885,1.0728656867961686,0.6913193795087146,1.3407384159891687,0.6149259525387251,0.6410389735198327,0.5701128796238805,0.585552875168417,0.5707831061050003,0.5856714040306391,1.2698794827596889,0.6107952547201175,0.5823980989202946,0.47253816283938,0.5010404094471104,0.5592654515985103,0.5455293594674789,0.608405417217304,0.6250274118906706,0.83361916500744,0.6782234859675086,0.6470223278892697,0.5845108672543232,0.6793918316812414,0.672482962579579,0.5853077252654385,0.5578794460789812,0.7809586030853183,0.553975568641779,0.6122446294966472,0.48673104778824944,0.5207993142235247,0.563310364746074,0.48198423034648386,0.684291721908417,0.43230545903212886,0.4458508641572103,0.6043429741266712,0.3759271594188888,0.3267929769391761,0.3183281370252426,0.34315098840778835,0.3851864327581782,0.3925306757728065,0.46901357168650226,0.5276326623721822,0.6939387205898487,0.6079086335439637,0.526322060205048,0.4604049190243433,0.4196462313828149,0.3419652484032976,0.28649951878112057,0.30335887415982016,0.4197957838973291,0.3078583073689289,0.30909679245017974,0.38224654423612886,0.3392834210810203,0.3649108589102298,0.34430624668319726,0.5059490960145209,0.3861445815356224,0.41650144613269474,0.6968728761510636,0.41280790519585175,0.5661271035054191,0.44905626621556777,0.7571905544730317,0.7624353176108509,0.6214741152221812,0.5424621503666103,0.42718355031163285,0.4206906092542637,0.37866788165287113,0.3767705797224275,0.3694006715228626,0.3846755426191173,0.4309154581895137,0.5593453537548079,1.0102073652157282,1.5621863203595057,1.205502636217207,0.6614162699885594,0.4918076987092597,0.4575923526116272,0.4273307488038364,0.4468142558542176,0.3809929400096714,0.40373389588349057,0.387801677364976,0.40207291320290967,0.4403255506534637,0.5329666063235307,0.5069093954129256,0.6881997003284573,0.7897679041840369,0.8061482119146152,0.5020740767310157,0.40271058351006217,0.4043292602406249,0.4007958318317955,0.37274124870771486,0.456517845293803,0.46476781340296325,0.6886633675787791,0.4424891857509932,0.48957745875116604,0.3896651694817767,0.382686483444584,0.3710569124832391,0.37804787902246567,0.429393748746795,0.6155639766922614,0.7556396990769938,1.2482215930519833,1.6594208896726395,1.0802296540427772,1.3829209504535385,1.7436497888444489,1.135665390454482,0.822248231692806,0.46538023066152423,0.4759120006318093,0.6636730212269508,0.37029591620699404,0.4035455056701333,0.42727066568314875,0.42931758460507424,0.48136171715533266,0.42115675784738515,0.44156295080656,0.5078708140936604,0.5051755091132903,0.5311151304087101,0.5236424142025898,0.6044081338939169,0.5545764286743892,0.5964396089558702,0.6746668453149764,0.68036340687782,0.7292444840840651,0.7658393184989782,0.7570517888144389,0.8755736773935952,0.8114910075758701,0.6495479112944877,0.689657779819694,0.7504235843243322,2.229776638081345,1.0709114814814318,1.4738547240284559,0.7113567975377068,0.7323629615412701,0.7824194294336978,0.7597720790102396,0.7287289521348679,0.5483857584506587,0.7545408021300463,0.6572424059531996,0.8211172352544692,0.5761527584924482,0.8408584021381365,0.6320643598790616,0.6387676139664558,0.7177812762800269,0.44539945925006363,0.4910215903178695,0.5616726666861769,0.6702475807474443,0.7782685562080298,0.9357267299709361,0.838785406336412,0.6834742569296144,0.7349358827537228,0.9163098558152611,0.7196699668801061,0.6765669914687334,0.8870820527821911,0.9380670173232024,0.7416529991323896,0.8186546427726249,0.9467079886071419,0.8746201894023623,0.7732410469202767,0.8373639998490164,0.7461066116450067,0.7166041116162782,0.6604516038982026,0.6353886061375825,0.6802474980814892,0.594449127350519,0.6058151385054387,0.5976513499784885,0.6181584334758653,0.5223386730323093,0.5443277181396189,0.714588061132463,0.650583744812116,0.5967097644868209,0.6558318141605582,0.9767954462585631,0.8014977499112474,0.7574658649477132,0.8867502452734479,1.0274866423422215,1.18353512812951,0.8049593957539156,0.6599879903689891,0.5794308668815705,0.8223778596961764,0.6748603032408873,0.7253032294275155,0.7384820065983742,0.5824711717870112,0.43690432498836457,0.39955319420246593,0.3754063182768575,0.39530108979660045,0.4403204897173635,0.521876538809314,0.8463211251257787,0.4216842253793132,0.5630647928384002,0.6206698583675286,0.4437966536810109,0.5104187825383326,0.7827928378778051,0.7753080733394433,1.131055163465001,1.638073829843564,2.80792052885356],[0.5964278211005302,0.44710992605085814,0.35853476791325506,0.36932080236152154,0.3813464985183843,0.3664318328165003,0.30442118605664664,0.32356708471654166,0.3376063501084224,0.32775775502838217,0.3620121564224368,0.4494396414777079,0.3493167076607267,0.3631243908012454,0.4595260338534361,0.42688026053967043,0.4453515137729718,0.5126229856373273,0.652946063267486,0.5811566964248664,0.6832423023703734,0.7161599871417852,0.8758005739845394,1.0064108343958653,0.7780343611697655,0.7240458940083533,0.5826932094997955,0.5006243991951521,0.44315659111486483,0.41124592314934877,0.5460269518087124,0.46723944846338944,0.6396372012809837,0.5777761097311356,0.4779773409337267,0.47405502888243956,0.44039725518283307,0.4652542671508646,0.46119770150934203,0.4651397552109058,0.6682611705779455,0.6235964694354869,0.6011221108182124,0.5901645623375861,1.4916825220556944,1.8313471422758385,2.5618492018171057,0.970486001655862,2.0978772830263694,1.73835498346519,1.6275684488687927,2.0527460807397313,2.209845977052051,2.1469600660614456,1.4427271994892532,0.8928178307832219,1.7105453477910677,0.8707707237311907,1.254411961844814,1.157659691364835,0.9646606621885141,0.7302928512622485,0.6327165479387885,1.017042494882107,0.7259202423330888,0.6576357036363194,0.827594113983595,0.6755699233031262,0.8799549453930126,0.7330265699650687,0.9061699678006963,1.1694770145593145,1.0168788413585945,1.0131826232806602,0.6511567267756386,1.3173589079715717,0.5961109390720792,0.5916365517971491,0.5414875905959747,0.5631177397714876,0.52760728643684,0.566419559176013,1.2638270030616363,0.5256544569262612,0.5713045384202483,0.45733696474786206,0.4784742730918874,0.5215420088084957,0.5142763121088888,0.5664593648802179,0.5803494745126991,0.7967738319173661,0.6441545754303747,0.6048432285417099,0.5406859184817329,0.656569444315245,0.6247741973602039,0.5428283733073028,0.502821214564878,0.7441947755942097,0.4854100198906933,0.5200993871936243,0.4146587761327181,0.4720462160509989,0.503355651433545,0.4572837309090177,0.6352051130785795,0.40650325138904464,0.40095025641961696,0.5772882693027509,0.3489542804146809,0.331918818776205,0.3242023082312624,0.39708403541702314,0.4137590676802564,0.44513314051431635,0.5137555461954438,0.540738352542827,0.6989619467253203,0.5831922872376768,0.5456342754578621,0.49487509670125296,0.47169566336282226,0.4043148932520796,0.34456505972511314,0.3611385782663566,0.4256912818079615,0.3088337004327323,0.31689143030744643,0.3599673434521744,0.3381884159339048,0.3630686963933725,0.33722792697173065,0.4439371311576011,0.3581051826952772,0.3899353043653202,0.6967488804826611,0.4439039020478568,0.5822420782114283,0.5071330838475062,0.8282320311057855,0.8477685629182287,0.6834480102179771,0.6194869011889317,0.4678041609677978,0.4217219687201857,0.3910258746748529,0.36501062114125626,0.34321285318236766,0.36908407736820475,0.3969268434788371,0.547822538477424,1.0082934986548642,1.5306580053665793,1.2080324485426497,0.6103998624104492,0.4317863997192285,0.4075560109751373,0.356957353337364,0.41515358330771335,0.3724525185224102,0.38921571816786243,0.3883388932419172,0.3930204626375898,0.4344248500022014,0.5877532158002925,0.5334114820810171,0.7590802060393221,0.857464638220232,0.8384511140656641,0.5250443384269792,0.4269817160574904,0.41613881477752174,0.372227154988285,0.3500330863109688,0.4431859085813614,0.45018941320631745,0.6523357830433982,0.4308671656681537,0.4496454971784419,0.3838038095791713,0.3459084726154909,0.33821778411773196,0.38582512784922907,0.4489117630456234,0.676869702961313,0.8219893310574521,1.2935051967652993,1.767872169212898,1.1458815901876795,1.4801768819928205,1.8298123140459366,1.2206535647734535,0.8706567862459949,0.47874449046588025,0.489136281926008,0.628280017655827,0.39141747819200107,0.4299050964553027,0.430698867805305,0.4068705490101353,0.4478279852336123,0.4053784991170336,0.4297039103992732,0.4768354865214881,0.47998643217766634,0.5177465451333182,0.5034679387265848,0.5716138732658093,0.5320145588474325,0.5590135121078346,0.6287123965398614,0.6454048811634566,0.6797370028016212,0.7273593845514148,0.744886471139467,0.84774394919024,0.800248804266704,0.6279700365246667,0.6452058892884976,0.7377671142536172,2.0862844147120922,1.0386538723608882,1.400297747336072,0.6476060717050176,0.6701455806550841,0.7348893241415464,0.6857816923982015,0.6842828607002609,0.5142948855935058,0.7700389208727636,0.6377453723962946,0.7764884317668956,0.5636570167610463,0.810033971373828,0.6879229017010202,0.6516822322762109,0.7362061559266744,0.4461014627346038,0.45937876042398906,0.5152629129892715,0.6345649261542895,0.7349430061725972,0.8597273753060514,0.7691852372178097,0.6434791608864187,0.655741435824208,0.8243526538435001,0.6512420520904365,0.6197308071547305,0.8165062024472283,0.8919102471428523,0.7098039099885571,0.7555233642058327,0.8852835303242673,0.840721943547495,0.723604320153897,0.7710471239468001,0.691835473281965,0.6552907503264648,0.5939703657925303,0.5625998952421323,0.6407790038150767,0.5559798517837827,0.5505373089618867,0.5623766400010232,0.5918454335235128,0.5108249237453595,0.5277850700779706,0.7078297655198041,0.6405811318515761,0.6218320626780615,0.6667752139658611,0.9878691189234212,0.824983516749512,0.7522043568391839,0.9051190662307246,1.0202181821721317,1.2065846705321757,0.7962830577962341,0.6426487836701381,0.5401134777875878,0.7748437047115551,0.6517668529590291,0.7306736521689494,0.7514027252638626,0.5914036125953723,0.46528899187387623,0.40945667891446386,0.39492232844852293,0.3797949205987092,0.39688640869003144,0.45787052419135305,0.8234947329312002,0.3858164341343488,0.4728630283539573,0.5515933354301209,0.41964583315793835,0.4271702248302069,0.6361086627346101,0.6624859907076012,1.0121929381768928,1.5749125839274345,2.6571274472376345],[0.5879213578694873,0.43834410523404277,0.3670051469321913,0.36165032596183194,0.3681875256704129,0.39070599218002916,0.3229059187879543,0.3440422841196764,0.32643266344870825,0.31626201746613875,0.3806759709058199,0.47171053628579906,0.36241434597948763,0.38191808309007097,0.5077846472661958,0.4582962904366347,0.4658321676503399,0.528199301481976,0.6378167325554459,0.5745689975633659,0.6581385184566296,0.6979991523794279,0.8323710697997586,0.9446080700732664,0.7497765648094488,0.6869850653681565,0.5612555302739141,0.4967073949043907,0.46879295720629555,0.4356924421585225,0.559219608561363,0.4767633663115939,0.6341470934349861,0.5863075668920956,0.4860413779722404,0.48885393178253034,0.45456773646230786,0.4759224265346109,0.44986411302605134,0.45245234438362153,0.6776951166393662,0.6016138307786243,0.5634317772583903,0.5790162609964827,1.4066410675288579,1.7374665021666968,2.346874922764585,0.8391747040258691,2.1161650319366374,1.828052690889448,1.6082480204416467,2.1182199195604916,2.3480911238405047,2.3328423019815987,1.517874441617454,0.9544118133531736,1.7612420473927097,0.926540685594584,1.3102001652578465,1.0767603249728575,0.9006433129157474,0.7081106114611913,0.618028770227379,0.9784095076307024,0.6810413022904244,0.6285306964538293,0.8172937426388663,0.6975333514874095,0.8729795153341643,0.7881468384298466,0.934228532366677,1.2534230314571637,1.105391635398003,1.01880742003829,0.6652893243775412,1.2813575487660085,0.5790239199421131,0.6082823123518375,0.5471173879186838,0.555541560063606,0.5453051370215696,0.5670718928018839,1.3006103811821632,0.5413978757101959,0.5482951951361019,0.45946588645581155,0.48522956979449866,0.5293551930532131,0.5178953747035299,0.585980279488786,0.5959361428306313,0.8005124076285681,0.6526728502538854,0.6057452295529255,0.5645378052262141,0.6583669793260162,0.6575195630967708,0.5537949009468542,0.5165777841857988,0.7313527585579089,0.5009473483154191,0.5423664285761942,0.439521614057872,0.47934655860981035,0.5048017644443055,0.46001713269485567,0.7030702654169239,0.4047633589889953,0.42646472734097035,0.5896732775573992,0.36401317341841083,0.34222222116623346,0.33662660666150884,0.377090882720202,0.3985337400543711,0.4226858116064579,0.5095529816884616,0.5557561940486476,0.63493372771333,0.579462261896554,0.5206851667994612,0.4708082796896878,0.43895242489983677,0.3778417084674442,0.3495148795925281,0.38977993881595246,0.5111986989343512,0.3240262698489444,0.3435322806362287,0.38769477492865984,0.3693770905216866,0.40860591605832564,0.3546338549975946,0.4929911326154444,0.3707571852577553,0.41240016654563905,0.722133688954429,0.43137551884646286,0.5549934873378323,0.4583247320318057,0.7535302024861024,0.749509805000515,0.6361372285184314,0.5562079934817413,0.44753107322268004,0.42140628925632645,0.38388815953408184,0.3801015113902892,0.3605698718277185,0.38471273327465627,0.40288425560503965,0.49888310917006695,1.004581117294256,1.4711883707400604,1.1518871261998813,0.5908789976859148,0.4308263110557939,0.40807361507824796,0.3811816216836919,0.4403249925087634,0.3578367636712894,0.39554397092634414,0.3827213314721038,0.39297477681706355,0.416653130431233,0.570642188192908,0.51677839777552,0.7217686133862092,0.8548734987502749,0.8261066446217737,0.5146051787957062,0.40846383625822713,0.40702033833745854,0.3803494729152026,0.36674300674765936,0.46276054563812946,0.4618263254578546,0.7046410076962305,0.43665007582832016,0.4623946311911322,0.39650316055836077,0.36910696902272916,0.35837558936357616,0.4055847123839198,0.4511333315201564,0.6413599071122443,0.791129237170015,1.1917716793434987,1.7927647833535387,1.154070889456839,1.3510166397788943,1.6465135382390843,1.1281101174369885,0.8473115127140055,0.47963219953021274,0.48582460547008993,0.6525874052610724,0.4184247770796044,0.4666707778994229,0.47144746136146803,0.4568862885636832,0.4977561196212208,0.44784600911761174,0.46791134800911316,0.5280414787221457,0.5130995439961864,0.5492148945492571,0.547292568566985,0.6060375256996244,0.5543449065291363,0.5998192856588108,0.6702710364030386,0.6657520699427292,0.711478731474097,0.7713978942256895,0.7872559405279391,0.8897070775834784,0.8767801426264188,0.6943403947794787,0.7060118569275341,0.7977248952756884,2.1305433976810315,1.1408818353453096,1.4654926130399084,0.6989400206623902,0.7141973820864592,0.7684022400441458,0.7170480953525852,0.7537999423443249,0.5690769565594228,0.7990123629174397,0.6605993231261797,0.8335539776671493,0.6192989203984116,0.838962687394936,0.738007374843603,0.6829203573196684,0.7485929643887349,0.49424985661878645,0.493708426379768,0.5484848768271299,0.6522665423556012,0.7578059616564246,0.9370499284388993,0.804208097525899,0.6876306318431246,0.71541012260863,0.8527657639757754,0.7095074968726639,0.6569375711566053,0.8555586430709351,0.914511263087115,0.726402979483039,0.7950428148528867,0.9316921677934643,0.8824631831537675,0.7672058121624284,0.8223284959318052,0.7396932086526049,0.7176934944430845,0.6608333036134122,0.6399951334980738,0.7034013754529683,0.606358642602389,0.6115128541166888,0.6241686706620068,0.6457548127567929,0.570582879580269,0.5956702991388921,0.7731183706403741,0.6959839953932746,0.669374897835073,0.7382332436061458,1.0291884295774347,0.8643162987306486,0.8157466845229264,0.9351594586826935,1.0491362806796884,1.3089473274763659,0.8724926794541314,0.711408257901524,0.6034302344627278,0.8487263546481856,0.7265879353176286,0.7917282591893846,0.7698645310255631,0.615603018058479,0.4788440867376993,0.447937642119854,0.4196813514227223,0.4261406809639869,0.4091001660874813,0.4714690220499002,0.7836460216223973,0.3830933733593758,0.4942807881790112,0.5369725293451811,0.42095123193567047,0.42260116351845917,0.6110346229854775,0.684997150394988,0.9499282985926202,1.3024972892231779,2.3083249879191086],[0.5514267776667209,0.4119381865838135,0.3193232044015207,0.337330067996847,0.3495943267642388,0.3802420180339063,0.3300018189556438,0.3903899957953126,0.37219959794185176,0.3287789729898126,0.3891323430364745,0.5031910588934091,0.3739140646306442,0.3686695231325184,0.4851029487448882,0.44811492394733693,0.42580400029515436,0.4889391225379643,0.5804436709189886,0.5201547801595495,0.5957535762712421,0.6618442595532757,0.7658627662817334,0.8715444810296942,0.7074808712062717,0.6287156948696639,0.5150590417809302,0.45394349182179955,0.4342215788477481,0.4350865303116428,0.534592862359132,0.4855162147786069,0.6267421942238739,0.5848078510532342,0.4883205859296257,0.4706312841615333,0.4568547668280043,0.4570724440032829,0.41999522972080994,0.4219172467754251,0.6649767694521809,0.5626407413000676,0.5225293545330388,0.5594911922189946,1.3395638117329856,1.6994982494206625,2.2363472359414978,0.8080351757932276,2.1300172253283254,1.94037305837614,1.585401327243005,2.170623317572693,2.375690516406112,2.3620493413759065,1.5115602974927922,0.9479423793798629,1.746723154845903,0.8556265206556946,1.3546828978075187,1.0830841692086204,0.8489776384710247,0.668902616380607,0.5675188850776886,0.907317646871231,0.6230481493361919,0.5816362585960836,0.751117327954283,0.6457601160230573,0.8193535810806043,0.7501648893193162,0.8886253762542827,1.1948647199075737,1.0485402098151841,0.9239848217931586,0.6123863650075774,1.2309290166166564,0.528144379512571,0.5800090074585429,0.5177408892195259,0.5228202033026447,0.5177394886822322,0.5743280571317644,1.3107724562381562,0.5285308257752126,0.506961409180734,0.4458869159544932,0.46686346121203615,0.5236338944479415,0.4889594131390359,0.5844421101176879,0.5655020510359081,0.7673751971534793,0.6258625145860433,0.5937972896034723,0.5561640510864919,0.6528241326073982,0.653259450320654,0.5681354564859269,0.5453033236312252,0.7323389929464794,0.5186567684445845,0.5788137809937369,0.47173082927782845,0.5037327632636655,0.5299896551505805,0.47706016485721153,0.7076664621493695,0.42008190552075253,0.444944797083392,0.5922076047253182,0.3685482580853839,0.3488685251321199,0.34264566441033156,0.3727470505244952,0.38039973341547184,0.392472058265579,0.4877960242504354,0.5483290331224223,0.58094462053441,0.541905608491045,0.4900492581712261,0.4405809852867904,0.3997793057456918,0.35361248224039904,0.35125089003135174,0.401705202019659,0.5466530855398883,0.3289132137710998,0.35060306008773895,0.3862338487213013,0.35436138434928793,0.41934781064910337,0.32933051199995694,0.5056644126188122,0.3389534641919959,0.3699856530169249,0.7095277212913563,0.4122187591752514,0.5349753387427023,0.444039550031029,0.7310919255439122,0.7231789034379953,0.6063295801617747,0.5278366491419172,0.41423150766270167,0.3907683772096657,0.35676908518564504,0.3847290931082841,0.3644363465904243,0.4025378021223512,0.4400053117084181,0.5459757639993504,1.0844482192792968,1.4760134451739981,1.122235101757462,0.6181662165138593,0.46852627658083545,0.45284213213574176,0.40091559753790323,0.48035210664113637,0.35886281630455946,0.3905395474093335,0.36156705422603835,0.3575347681719221,0.398357197120521,0.5769224572847625,0.49425487931646767,0.7170769025128232,0.8450962310577557,0.8031085823874464,0.4926662274105392,0.38542837357563087,0.38865276301858503,0.36446009391132683,0.36916084539538907,0.4849072989152422,0.46943803594646766,0.7216713650464509,0.44496159167414756,0.472243012660517,0.4111069077212709,0.3905932810117143,0.36662190314187043,0.4037916119623061,0.44325483070391036,0.6262925463015776,0.7945324973356004,1.1485814844890132,1.8214895741923405,1.1824532827473841,1.2920631435822336,1.5267766315639275,1.0605408688899107,0.7999607067167777,0.4429567287860855,0.5008324858639577,0.6399252794876301,0.4317247469271092,0.47167184394935996,0.47268436053785967,0.4739480399216005,0.517401658751663,0.45829570279871423,0.4677153863403573,0.5348014952448685,0.5216191517869612,0.5422609316466267,0.5490161561181562,0.6172467002905644,0.5549611692991265,0.5909302845662991,0.6581163630123897,0.6593474161141125,0.6822435519671423,0.7500701837909904,0.7708667474428939,0.8864874001565528,0.8803626268937517,0.6836831601632619,0.7092863487666269,0.8160890930511424,2.0712340020662827,1.1618120950415352,1.4376343222085495,0.6868453733464235,0.6950152835300475,0.778305038997322,0.7336006408134079,0.7654869613981529,0.5874793320221604,0.8289041120819918,0.6731222669123503,0.8539784470177848,0.6473960401968945,0.8212063245965965,0.7551534412375066,0.6883840435654727,0.7453234866413365,0.4936386219403655,0.49576955137094825,0.5479446927108034,0.685003071985282,0.7731747436823259,0.928158360399273,0.7970255940432612,0.7035218215636972,0.7369772434431432,0.8888705058091939,0.7122803409579468,0.6655509138289176,0.8814177955652513,0.9471815533671945,0.7526973334029398,0.8159582897861126,0.9489342566766378,0.9163720393903347,0.7831627033426958,0.8478831087103138,0.7540333216408648,0.7311023863860271,0.6636081859351484,0.6416311828897971,0.7148106455926722,0.6044656911030072,0.6066946643475942,0.627245125983694,0.6482490292068611,0.5732438736619965,0.5961719678466626,0.7721085272451691,0.6906606809379799,0.6664289360384454,0.7427287775153849,1.0662996375144809,0.8723481357141847,0.8350443645019875,0.9554435291728298,1.0594708940151452,1.3276598573000553,0.8773588471032316,0.7008709421461821,0.581473337135621,0.8398998982471051,0.7334232572300998,0.7992871207453273,0.7668087810304758,0.6261020387944087,0.46855079531832255,0.44113988105206087,0.4078360735093442,0.41784979167669956,0.38816146798259243,0.43663943915607056,0.7572226578672876,0.3652437896605513,0.4548522178115228,0.504607754034069,0.4426927841820956,0.3720256172096266,0.5100573566238245,0.6794433775318287,0.8083437275099271,1.1106799546013457,1.979507511057155],[0.5401780938868824,0.4477813415779325,0.3638020865036822,0.33874795740676233,0.38970437560727794,0.3847235363936118,0.3325774233388776,0.4078875584197033,0.3769272910813847,0.3321564624567704,0.3765270503970733,0.4933151398515247,0.3629233937373606,0.3639827412490215,0.4777422763269971,0.4368380872393984,0.42581836475611845,0.4931684013062493,0.5967280344506946,0.5324598754584515,0.6245998017540959,0.6800666469194635,0.7967593321235236,0.9221569728879113,0.7241423321902977,0.6488527523172877,0.5244040193815518,0.4499491396774789,0.4278356265726197,0.423570838768834,0.5329378707963168,0.4763822141984462,0.6288049055864661,0.5760572284171864,0.47587416621992223,0.46509831286627334,0.45300301792909836,0.4500526494191624,0.4204795720840432,0.4285300780861971,0.6651417105049823,0.5751304988516941,0.538591454420147,0.5436426002227185,1.384141978759884,1.751923828713527,2.3399996988061695,0.8690937428362864,2.104072494663921,1.9430136865501095,1.6117597259125989,2.1701836940240744,2.3451042646251645,2.3068195713561863,1.481027074082172,0.9214122676807601,1.7488745115398225,0.8296417641031942,1.3281866446309465,1.1295746319076607,0.8822372634436457,0.6798426224326007,0.5771029898572004,0.9450067379745521,0.6551794958397126,0.5878602588815394,0.7727821463620886,0.652905671616471,0.8331953958014181,0.7448278917512886,0.8625102469263982,1.1575025475963991,1.0250437322958295,0.9537430834188231,0.6263293597179875,1.2731984450428575,0.5531942382688266,0.5854726044228306,0.5236325437056638,0.5225568308883164,0.5047675307407571,0.5588675109596645,1.29634872646043,0.5118802368694152,0.5121936022182659,0.4335107931612295,0.45772283163996597,0.5142054283627336,0.48651220294600284,0.573999248663117,0.5751407136294037,0.7824487748729031,0.6364418974543095,0.5969870997225567,0.5507521554864299,0.6504376205528335,0.635660019477357,0.5591344848476003,0.5364034483991483,0.7445116940993759,0.5132602634386361,0.5811352957149291,0.4703649117492594,0.5006976637565171,0.5281629201402104,0.4909276283862231,0.71083714280866,0.41778725420663093,0.4443676820753582,0.5814237188993453,0.3723427903851937,0.3612550967859703,0.3474560170779064,0.36985696259982864,0.38121928166052893,0.3716252665393815,0.4815448193458323,0.5397414696206976,0.6072458091940908,0.5344224109767153,0.48773312557825105,0.43393366500270564,0.4112506925383172,0.33920728869726996,0.3475761861350742,0.40534357272435656,0.5851296093094919,0.3445406781336044,0.3617856513494157,0.3830936850374905,0.3764986651263456,0.4351315136190812,0.35474579898343034,0.5022715700169484,0.3477434310244324,0.38110816061051767,0.7022656998150862,0.40039613620429354,0.5013472174515472,0.4446618018063054,0.7436679983767464,0.790560449486608,0.6158100164548433,0.5399380626108308,0.4235622260373958,0.39163936839063873,0.3576252101063073,0.3882386509814401,0.36027928213539817,0.40299403708948367,0.4358586981513886,0.5398761089044736,1.0933946400015853,1.452011625992244,1.113492432177623,0.6245476296967158,0.4598335141376038,0.4404033654742842,0.39301486532744256,0.48347342673974436,0.3586013823388098,0.38081409698599267,0.3813077610286857,0.3803512624356482,0.4231151474590935,0.605167871219165,0.5243883532622026,0.760899777157466,0.89782380441632,0.8199831393836178,0.5130130186653635,0.38898121713212114,0.3987947145256372,0.36386686704481147,0.36777323260379435,0.47022449462536253,0.46522098054298483,0.7049127776019588,0.43195876622251095,0.46863581680495936,0.4093221975705172,0.3897010997246938,0.3679416704569926,0.4193995926255411,0.47192890829083073,0.6615881968884386,0.8163303979992257,1.1542453065177736,1.8674059089084423,1.200509876100122,1.354792371537889,1.5476708896340494,1.1040789484340727,0.8402845609286546,0.4831528107319534,0.544971227507733,0.6249166417659853,0.4704005071607399,0.5228376602573442,0.5082542571701069,0.5237876450351043,0.5588148780037282,0.4949331674285157,0.5150371907825098,0.5844845316649143,0.5647005864228198,0.5778023783846614,0.5927225327928343,0.6725572107624496,0.5953849487256163,0.626234558354626,0.6965466449074986,0.6994465267871947,0.6809753118418175,0.7698177855123456,0.7819892523712776,0.9257346714775576,0.9255972239409648,0.7316911294443847,0.7694780481235505,0.9205720556640334,1.965600326029715,1.2984092733135926,1.4517174335606124,0.7453648435581377,0.7421630645905006,0.8248986196324471,0.7658437847228083,0.8293085982001172,0.6452394650799762,0.8712338542220887,0.7270847960636697,0.9102480103622733,0.7038960795788762,0.8113375538798488,0.8247961521442703,0.7150139241343411,0.7717894185457636,0.5427406780557783,0.5249689113084502,0.5827804189487589,0.7112206992747262,0.8014885508297119,0.9632082405897855,0.8149243288455872,0.7426354152881324,0.7796507637474396,0.9336907070717271,0.741055195150594,0.7014404207843707,0.9255283927874625,0.985193822442989,0.802477618531438,0.875122601461153,1.017242919225471,0.997571995767913,0.840760512786334,0.9222329355585552,0.809875716347473,0.7931016614555607,0.7270663656418156,0.7111385562565601,0.7837338192014912,0.6539010992568034,0.6535344174739016,0.6857615652461307,0.7002888336829042,0.6271831732467991,0.6507269118504254,0.8265283745106461,0.73744408185738,0.7221895401815784,0.8179116164310244,1.1260236810835358,0.9320002084480928,0.898014985912421,1.0143243236173678,1.083255326675106,1.4074431489921144,0.9090937260838491,0.726781299388474,0.5942761538380156,0.8339055274258249,0.7656872499054995,0.8481952024884665,0.8148102735758226,0.6717641648519195,0.5130584386427129,0.48355361369586897,0.4400220046574233,0.4498557945334085,0.4082248507272016,0.45504186270631525,0.7344239082189379,0.38240005146388306,0.46741785126458885,0.5256795665544018,0.4664032929025584,0.3779779160655782,0.5049863292197322,0.7207313338865061,0.8156271571299434,1.0768664993806027,1.9257622342516205],[0.6232170158390942,0.525267792815728,0.4309944582984562,0.4178505536332785,0.4816948302053143,0.5017398146301869,0.4647405608495605,0.5179511373992352,0.459039316105281,0.41816322615530216,0.44292329778523853,0.5551672555579987,0.45507873790413483,0.44204510527303476,0.5316496777670398,0.4962938917118196,0.49510787561073344,0.5475739620578239,0.6197769496767982,0.5840423311654467,0.6480060829864203,0.7209145518131709,0.7915911055743582,0.9278765027229828,0.7531178596909717,0.6716752161254397,0.5891840341187549,0.517260447104885,0.5054484525894882,0.5023165554651411,0.5628571700606068,0.5294036171558786,0.6424422139090045,0.6046746590825116,0.5224299264151445,0.5224366684467299,0.5141240952324524,0.5189500226495746,0.5107214761252413,0.521745306358969,0.7784002277713581,0.6298327534259108,0.5811122549332934,0.6765204016979934,1.3528640539004402,1.715092433811684,2.189430042326259,0.8582929413289443,2.159328794335606,2.0561064823768134,1.6188275737052424,2.213527455796935,2.467194392792121,2.4607873192996914,1.6034614442343669,1.061550659996083,1.7886361051728508,0.9143359215645621,1.4363216606714786,1.1330576138514692,0.8411810818887188,0.6785057632056591,0.581018542214132,0.9115323804865278,0.6332980166781461,0.6213858981111734,0.750186945610101,0.6789616422022231,0.8299071587997756,0.7932794288489301,0.9042005440515134,1.1971510215615246,1.0642408086263238,0.9308994822853873,0.636167738357487,1.2249548060557118,0.5566690789163807,0.6138107734192367,0.5556424855305753,0.5638902180651021,0.579337840474108,0.6405186526789611,1.3769313011508701,0.6066435803647684,0.5853209532687366,0.5338941331341436,0.5265030721706344,0.5806407859730429,0.5308483497940536,0.615813905313373,0.5940032375144664,0.772497734624366,0.6306131213900789,0.6069085673315988,0.5789059528145475,0.6601623352566937,0.6749051103402822,0.5926263363560834,0.5698575065781244,0.7515367759352019,0.55518788976699,0.617084758739284,0.5487675914266704,0.5628650547694991,0.5890461090046089,0.561087472107384,0.7870388252126992,0.5143872946551715,0.539219562476858,0.658899792897445,0.4595174936495804,0.4797499171205435,0.48448318661240863,0.4940880034634718,0.4671369614313109,0.4956053263529272,0.5803912557669865,0.6595034276584317,0.5710823127095642,0.5844196973089225,0.5255796041547443,0.4987043192235842,0.49380300416365136,0.46845605268814094,0.4736608746359927,0.5613248013042795,0.7355145980358375,0.4714268017379086,0.4812832622915116,0.5060814139973724,0.4887635270278244,0.5551079542051169,0.46421821694801946,0.6054687038668729,0.45476864607578743,0.4709176179626159,0.7692329210082673,0.47968366376064464,0.5822087261036123,0.5180728449940634,0.77318092600127,0.7799553731847149,0.6621212821908938,0.5740625894878326,0.5060369132541073,0.49263279190271736,0.4661138466248599,0.4763970116106127,0.4780032734408742,0.5062347854562294,0.5206509272369271,0.574737568222087,1.1034480861969749,1.3934401395499985,1.081679797951336,0.6463119048623959,0.5167844627375953,0.507009596829979,0.47330212744115036,0.5854129732924594,0.45866921332882005,0.49173502531600705,0.45969809838672143,0.45836453203546035,0.4825791225588059,0.6788019007114973,0.5571503165928605,0.7461724549222034,0.872800667277906,0.8232921091730372,0.5527835044130897,0.4671822017274903,0.46661846277979957,0.4517994000014991,0.47714300150009853,0.5830656484935234,0.5560753379052843,0.8254517253352148,0.5413606270841027,0.5494420896316049,0.49990473703089544,0.5084204445214616,0.48321163478121126,0.5107915601312314,0.5458948154609846,0.6932787921789,0.8387749977689922,1.1633499409807115,1.8620169780702984,1.25967442394623,1.248880721916024,1.4073574131587807,1.0171412732481837,0.8230572569897494,0.555755418981986,0.5969500365212483,0.6864462713949803,0.5549986195392138,0.5978358104448848,0.5959543421176684,0.5951252464141699,0.6268875715673424,0.5757245388424084,0.5776339503669686,0.6310484240798373,0.6140767193504674,0.6355786896861825,0.6276717713483811,0.6850286209345076,0.6247203360976923,0.6568994870606878,0.7021774204838409,0.6986185266984837,0.7033037312578377,0.7873486342011077,0.8050344513129674,0.9088524291369477,0.9412476020971914,0.7589802325844474,0.7692082762537797,0.8833415642929368,2.0354589185758343,1.2961993558248408,1.503196432072818,0.7772521140429676,0.7694043757305007,0.8505217792358221,0.8196341254111829,0.855532932795536,0.6886928944467575,0.9002067746290755,0.7484552750791919,0.9447893717087961,0.7497680919548151,0.8663834675920409,0.8368073588662799,0.766653878280845,0.798142431220842,0.6025393960172621,0.6009671277922357,0.656340062912405,0.7726893413383662,0.8622565055164917,1.0034859310498294,0.8648121558551637,0.8041536392887353,0.8221575982177745,0.9813473862929306,0.7916664781276003,0.7328196931374941,0.9466075825855989,1.0015201799668005,0.8124543034838214,0.8756947431349662,1.0114104915982463,0.9869538066468704,0.8315116953623177,0.907876707778227,0.8036773972035396,0.7955866587155963,0.7468917126394506,0.731966389599174,0.7838446670128266,0.669857796743312,0.6878037957394156,0.702612769312628,0.7158886955053472,0.6644489935182998,0.6875607699868385,0.8304790009310884,0.7578197423021119,0.7375511897990578,0.8198332456355505,1.1107910025512424,0.9411181834408643,0.9190382454645336,1.0288261810205594,1.0926127257166673,1.3975309379321759,0.949928929445786,0.7684177996647537,0.660209142709847,0.918131968389969,0.8290638112841797,0.8824518187709336,0.8665036348817836,0.7260975021388264,0.5942369954986203,0.571014342422358,0.5444904997392452,0.5492235048669649,0.48335866634364194,0.5226551098251317,0.7812128470371971,0.4586123675572666,0.5064685693719206,0.5879384109916398,0.5635835728532067,0.432518857450066,0.5378841304785239,0.8068037207681724,0.8240359023566717,1.0178516934631252,1.8203697267608763],[0.613832456590549,0.49577199630351326,0.41320238116360775,0.42313546905128824,0.4649348060857327,0.5106623423408577,0.4920787495987833,0.552248567447752,0.5022272691026028,0.46945568024538736,0.5257687909417867,0.609984556811978,0.5271700928966001,0.5217808457656766,0.6555201322402332,0.6118646236119837,0.5911912617267049,0.6557186669843625,0.7112849668745698,0.6798467088895189,0.7452379261915215,0.8195626620911758,0.8442409812291033,0.9750610956560137,0.7730557461225742,0.7192092919280484,0.6686134902204843,0.59806997912204,0.6005935415412891,0.6131495133529714,0.6908248322147725,0.6241593135472455,0.757248205416805,0.7187064160748831,0.6474302398066454,0.643095892433523,0.6156674500466668,0.6209358702743379,0.6022826557880208,0.6028129237340965,0.818561210244147,0.7177312679497828,0.670087120866935,0.7637910412839762,1.4265051772990391,1.7449312050855965,2.2716549408971383,0.874901785664003,2.188086233578395,1.9575304350706595,1.650698395764628,2.1635924208955806,2.5064140641533466,2.508295889580586,1.7037672885237447,1.1303559901020184,1.7920280429185995,1.0608648584622073,1.4686001524029306,1.0656483903549698,0.9016018038911976,0.7715629644406147,0.7061333277628311,1.0531306169013488,0.7441369065918831,0.7291045644838222,0.877937180708981,0.798598806636438,0.9407656251126574,0.8823821801277614,1.0000014790508052,1.3407264862910475,1.1936879500664384,1.074809935064074,0.7728928322044585,1.3004015680607843,0.6944144908840216,0.7466069214085703,0.683175502750391,0.6647940196916123,0.6928546421084647,0.7367079587241083,1.4314513470539754,0.7011053502407637,0.6725244266614744,0.6261051267691106,0.6272455783479589,0.6902139643081674,0.6569373088442161,0.7247297477545358,0.7205561942131513,0.8732289447388264,0.7441864883181146,0.7347095170305109,0.7024871393387757,0.7799973817719537,0.7883487776211907,0.6980513853385103,0.6658762244758782,0.8156309769173492,0.6456264670981258,0.6756442532023708,0.6152802691984798,0.6246149376513733,0.6349774052460024,0.587075843918105,0.8058984954712758,0.5340649780870014,0.5544502154749169,0.6764613208279558,0.48042997095642975,0.5042904973912905,0.5221955107907482,0.5188851855895209,0.5371885722941181,0.5414492897284634,0.620384456310236,0.7367750353074348,0.6633501257845827,0.6998963512983375,0.6130469175227291,0.5826147067417079,0.5466715190362919,0.5148186100542975,0.51911860860514,0.5629934648862999,0.6969229326678612,0.48977832030888296,0.48285612654294713,0.5219650396191358,0.4867384669238467,0.5493365252525686,0.4642947724236019,0.6374451586322106,0.468949844456476,0.4877279449572972,0.7764745016877346,0.5115398281926764,0.6395069846731404,0.5571537149230231,0.8111141123532108,0.8172639050711353,0.7014373709780435,0.5937504280741289,0.5604193871493071,0.5844159674258999,0.5356252111107253,0.5462831241601724,0.5447951827730789,0.5682157617849817,0.565421207737925,0.6216510349830536,1.1648540330807746,1.4410595661995744,1.1074020956314379,0.7144277958691937,0.6006337504945785,0.5711548653357204,0.5512317630437664,0.6370181197735856,0.5137298036057287,0.5630153992453565,0.5067205653100049,0.5222967251237977,0.5164018440292092,0.6703344857816508,0.5539189374342836,0.7171274830564363,0.830772506131939,0.8134928885092337,0.5472784729260602,0.4989101405644828,0.4998918070002757,0.506935773768058,0.5497317132080112,0.645798261711892,0.6163175228726099,0.8990899061347593,0.6113572194051339,0.6288666274012852,0.5477097263631607,0.547965870162632,0.5159167391535309,0.5249370638701968,0.5438595004074821,0.7069095085029671,0.8556618476740463,1.197594698947343,1.7643982036636807,1.2286991802841911,1.2167998358737864,1.4252293758412744,1.0069112098354316,0.8066537771409662,0.5404591923319871,0.5707948996130708,0.6954062581706747,0.52743297476446,0.5648133577180134,0.5743195636275124,0.5718202362682245,0.6053449443722987,0.5522469487056819,0.5564569225745387,0.61265025468095,0.5917358302864527,0.6160286969737186,0.6167041604889013,0.662328625143778,0.6131927053667986,0.6756371669450821,0.7200802074142845,0.6831069867137556,0.7596312889889215,0.8395475242099957,0.850515490309187,0.9409775362591574,0.9727835076238144,0.7815973717739128,0.7926106916817764,0.8627547525754589,2.1840026932985204,1.2551795289523415,1.5310892558149707,0.7795040055672213,0.7731653699333357,0.8473274522479269,0.8417004324399884,0.8219543918213237,0.6717417740487831,0.900856245918743,0.7276662629483055,0.9275095390423138,0.7305683592921212,0.9099529837474599,0.7481983458054854,0.7197248056362263,0.774467887949512,0.5603792027961085,0.5917912567205017,0.6451817925356899,0.763867325660336,0.8532619459379708,1.0354412821490988,0.8828727724827274,0.7941834370082467,0.8305083558898069,0.9910544025397698,0.789768578334687,0.7274723088584497,0.9384231406341229,0.9770500914591274,0.7766087989632752,0.8564552874479546,0.9816686059641091,0.9096322690495603,0.808206268757209,0.8862991102840903,0.804103302626688,0.7875341065265542,0.7361386219195655,0.7290232386894481,0.7842056379464837,0.6715927312923929,0.6793434458105393,0.697371904402384,0.7097097546732785,0.6436468557407304,0.6726572757986372,0.8218586575978386,0.7449128707142365,0.6890608600511289,0.7875098231729274,1.077561305778534,0.9254516544815223,0.9044415482349807,1.0254848745243954,1.1048637704414475,1.3881455627377872,0.961914981505558,0.7864100920480982,0.6842718177369347,0.9315881279413178,0.8245101095720135,0.8662076068737165,0.8381226869395668,0.7011034019614876,0.5683477301747346,0.5503662650063377,0.5289175025798304,0.5299272656547481,0.49095991660229443,0.5412242950904759,0.8186166661868555,0.47193638199842275,0.521122917237757,0.5760881510841024,0.5562815631600406,0.4394542599519766,0.545027653534681,0.7749991164771348,0.8973101935220593,1.1529052475987598,2.0634092186080655],[0.7183720986748678,0.5963572233429415,0.46226646880040506,0.4408209446458001,0.4783411596822967,0.5112600178271571,0.46464541429414546,0.5320604612278017,0.4515562361572881,0.39952219956344154,0.45687533820405674,0.5516555644345279,0.45260051049258,0.4374369645465642,0.5931650768220685,0.5494685134556657,0.5243481154437383,0.5846548429455037,0.6370924593076528,0.6046496279733041,0.6813472024619177,0.7435657600381819,0.7963662580699286,0.9062207732952469,0.7051538249114231,0.6406781360063803,0.5803247010638228,0.5113393408468574,0.5237764762597324,0.5485109668463332,0.6425242840980053,0.5896594704890727,0.7448387547471167,0.6942524444079844,0.6100559337486416,0.5853633699505487,0.5770266079570662,0.5484103091294682,0.5275816651452404,0.5349097848455834,0.7358204615731405,0.6483838201996324,0.6187820745164557,0.6608601307733429,1.4171107042877973,1.7431487922240003,2.2785281359297525,0.8593944338992763,2.1400262460044335,1.9209713745525512,1.6428041168439609,2.1711282876355487,2.4800052013824034,2.480009221219997,1.6695878890107905,1.0774636590723632,1.818550659241007,1.033738868976525,1.3833676011453389,1.0782654583212223,0.9292372425905786,0.7740162099129978,0.6961156974635874,1.065076378884084,0.7230814054630367,0.6815752148010777,0.8782968259639282,0.7623430634069849,0.9139608240068249,0.839856924667121,0.9718437666937574,1.3309088163172262,1.1847657595106504,1.0656133925721163,0.7478469583945768,1.3485089738471643,0.662825769823134,0.7008078993294761,0.6378097977772126,0.6228523305337266,0.6467878191534453,0.6773646502588592,1.3798668304705592,0.669221007179033,0.627673190353944,0.5678275845027583,0.5668644432503543,0.6530898285197506,0.6008869892254237,0.6933037821960649,0.6892433868657991,0.8641788624633284,0.7284792531717695,0.7129218378654043,0.6630867588078064,0.7510157675946673,0.7511029995808706,0.6668086607020898,0.6395035077966718,0.8312540684205885,0.6427384517280114,0.6940316538919646,0.6050972409060272,0.6347657187217987,0.6366078725988819,0.5932338653657524,0.833694855353664,0.5564733349040138,0.5732627330546186,0.7023282312206053,0.4932515208028757,0.48426578519336944,0.48611999031716685,0.47126308805086387,0.46280251425135727,0.4645116754352052,0.5301139003755172,0.6206808181557956,0.6148323648872644,0.619930610970779,0.5357802298227968,0.48388040822657785,0.4587439651181382,0.4275902193628716,0.4470493066164473,0.5232005453683202,0.7042138455667442,0.4728231873035605,0.48975748416693043,0.5294914896583989,0.5007294290381092,0.586706033196532,0.4711232187121927,0.6508042288427733,0.4486687556809532,0.4639848822408611,0.7411753628264766,0.47114952904843993,0.5720144249201241,0.5074349277421752,0.7604593803110151,0.7693266128724392,0.6454290122626415,0.5443544027379288,0.4771289667523023,0.4969856562227765,0.45693964427882094,0.4821577330874513,0.4955030068123575,0.5269857758397964,0.5576927656756556,0.6153948600654976,1.1735226914852148,1.4466611791387662,1.117783218527057,0.7295333949200014,0.5819581775692305,0.5704215407355425,0.5210190749470047,0.6236890267376235,0.47430531955131644,0.509626700446752,0.45719680013834146,0.46897835609118027,0.4822144868439279,0.6335837180203728,0.525408297679979,0.7057855383609513,0.8278408486664367,0.7982710978069116,0.5220404128390221,0.45678145944031817,0.4700599027944542,0.4792839484016993,0.5079851022831893,0.6169829252384839,0.5782712443256922,0.8741254824430706,0.5677978705291372,0.6067185504672215,0.5257806689699921,0.5416873962123683,0.5141315922310284,0.5200707279353605,0.5282702556001885,0.678256214298937,0.82990016712412,1.1879221059397624,1.774006246681175,1.2077509378987648,1.2167629013372039,1.4355376721267514,0.9994609663994063,0.8016007380737533,0.5421051736577752,0.5865278685374317,0.6747538398172274,0.5612402904775495,0.6188446124634759,0.634954016728618,0.6442018233989701,0.6727173703268643,0.6131708850164966,0.6251280579578139,0.6949759656825443,0.669285956575917,0.6751615222285459,0.6911849521027474,0.7426845340761884,0.6786293220386351,0.7204480151410424,0.7649207251579893,0.7430596974662267,0.7671506227177073,0.866693183398039,0.8715945672897639,0.9867453467945827,1.0045177687841267,0.8292883633007863,0.8608335303336025,0.9543967798558106,2.156015738348928,1.3621392352009893,1.5490138493245202,0.8458379138518687,0.8533511472843692,0.9284673136313879,0.9082619584146991,0.8943718886842406,0.755686406920181,0.978555955446201,0.8073030837836526,0.9848534196008614,0.8046488146889624,0.9303495673353003,0.8260998563234621,0.7804005088814053,0.792213838943986,0.6237171630648476,0.643917878353612,0.7128298945417834,0.8462438689161127,0.9348499670718753,1.1036581142487063,0.95863137934409,0.8709501159692135,0.9036777492008213,1.0618401740233967,0.8661742696998624,0.8019229312159579,1.005015471211145,1.036274301414748,0.8465919627974294,0.9176757613648909,1.0443042606905177,0.9773087408512988,0.8713754970045952,0.9590563889215786,0.862234082946725,0.8607829335100725,0.8196838469569075,0.8161600689955162,0.8556496797379175,0.7431771449373232,0.7527752008969838,0.7709534618417964,0.7829077443899626,0.7186069936820422,0.7484778695316473,0.8894481293905816,0.8044432594673129,0.7479451353816581,0.8533158317605211,1.1101505202079662,0.9575002570322301,0.9365202161997362,1.0660317177949712,1.113551789103091,1.444157080668552,0.9836522432953917,0.8055276231277653,0.6998585707714354,0.9384020350365643,0.8451452138731702,0.891715027173831,0.8781478581696754,0.7534772820509091,0.6121954501239381,0.5955348299040382,0.5552731777982355,0.577578158405139,0.5359171032094023,0.6010393852345008,0.849476659417476,0.5003500375641093,0.5509476635244802,0.6257034362817778,0.583480367970637,0.4467459067577117,0.5572955521377129,0.8258457715758053,0.9184775563224389,1.185087222289366,2.0656963573269618],[0.8853498503513887,0.791246972559959,0.6898521043616304,0.6153742528564824,0.7061304328312212,0.7641316165865193,0.7336513943719939,0.7980375295857967,0.6923649131859754,0.6136261737253169,0.6263029761141921,0.7412914267106958,0.663186490304243,0.6070889342442473,0.7215413181630077,0.7080482103094843,0.6684852744252351,0.7051864679893529,0.7432259066231747,0.7283316463801793,0.7731102940951818,0.8643725496227764,0.8802139134772616,1.0156393934889052,0.8508434086255574,0.7859741683949499,0.7479053307894813,0.6930597645551079,0.6917131264033894,0.7270016950678511,0.7464042323003532,0.7449250758596309,0.8386556504305572,0.7939461950405098,0.7562632772401172,0.7285892885010712,0.7436228156542222,0.7292295958309798,0.7255169768434304,0.7498407876920943,0.953926650175347,0.7987861261639919,0.748370950630576,0.8831955829608417,1.4360699623618463,1.7636999133377687,2.242516410047448,0.9626763303020863,2.232864204344393,2.0826972257728857,1.6484759250088155,2.208162217283405,2.5221245364618614,2.503157592981381,1.7530702370935745,1.2338437639661755,1.7838416129605699,1.087191737877121,1.5886075755954912,1.1347033479147977,0.9222199285878613,0.8052812077021303,0.7426256689160871,1.0321470410816382,0.7596171234054969,0.7717763586206876,0.859354100305974,0.8034453401991143,0.931092007356852,0.8770286625180143,0.9805923488716104,1.2933165499484482,1.169473129235337,1.0423536923737438,0.7700321888552882,1.2759898695165488,0.7268869795070816,0.7943240448573298,0.7547369160576534,0.7484837207967275,0.8138577383536694,0.8738303585713284,1.5784905151345463,0.8611897152161239,0.8140882813540526,0.7873187610026409,0.7400438748739288,0.8142869515147038,0.7374495873116068,0.8020489757679968,0.7587325674677003,0.8934912528787938,0.7767085698364752,0.7861437842037016,0.7634992360821692,0.8135313900762601,0.8216271389003698,0.7911469360495287,0.7867551288420002,0.9181745189012825,0.7858904326752475,0.8428092745955251,0.8042548055991752,0.8400060939784144,0.8514890302430681,0.8466732907484231,1.0700608786693506,0.8091534949877254,0.8048926566852301,0.9643530161996102,0.7556052429102049,0.7675644499681468,0.7624168449810607,0.7318220622589261,0.6764579668827004,0.6829161877890514,0.7339162374512115,0.7975327652223146,0.6842037366640884,0.7264518195137049,0.6420451515721849,0.6495666042527259,0.6375680969402809,0.6497226826422597,0.6908622800275944,0.7801531723146705,0.9880395654652245,0.7358952321305094,0.7507126530136198,0.7947158640397263,0.758167831319185,0.861351153029589,0.7423096438115441,0.8737434407635525,0.6958433275877354,0.6649245048418264,0.8858076070976795,0.6585464371942996,0.7430030673473323,0.6962124904851609,0.8952883876172807,0.9030547598227603,0.7953243379770162,0.7229647692641923,0.6923388963485863,0.7067677547831338,0.6829258054199325,0.7142560119759646,0.7509840918272177,0.774002154301459,0.8056486195920411,0.8284244706318754,1.319867824174657,1.4806401574355204,1.1741827439126613,0.8811348586805093,0.7735511325433961,0.7917767794300037,0.7349457122016823,0.869603418158127,0.7159155750365446,0.7287109488886593,0.6536343035909604,0.6686466024793325,0.6685872055920192,0.8157719641943608,0.697385336484534,0.8235562747464688,0.9240670572402554,0.8847058440605219,0.6892535576637028,0.6516132975386457,0.6740893281755339,0.687141155645732,0.7487239754122738,0.8797749637428582,0.8065561912433633,1.1136437498310816,0.8214052108460157,0.8230549935984768,0.758262726447278,0.805059917681978,0.7704445030398164,0.7581369169804385,0.7635762969039585,0.8765216018099875,0.9930879862881212,1.2790233824360033,1.917556103793154,1.3858722518029498,1.2541645251909757,1.367652511846705,1.0608472859889462,0.9338575968686101,0.7800991181356376,0.8340408572871022,0.8910819204009748,0.8036296760343606,0.8500171724452149,0.8828111504100001,0.8783224155429571,0.9144493195890027,0.8650794695874844,0.846431826380012,0.9118027787778908,0.8960391625376357,0.8664276966542379,0.8742201145615321,0.9289751585566689,0.8716664673484235,0.8746893148752719,0.8880496216220601,0.8964377326882884,0.8930317275355635,0.9588990361862537,0.9794685696156553,1.0760300156518499,1.1089490672810387,0.9483839791063292,0.9808178981390514,1.0865418347536333,2.1834416644670953,1.4762797642117553,1.5808137756910172,0.9869566360721198,0.9996565732971774,1.091340032792859,1.060367281401097,1.0546896852477834,0.9540239788354529,1.1742733735599782,0.9798725768939094,1.1126990180585574,0.9925172766183677,1.085469321038162,0.9883694079577594,0.9643951894509072,0.95926027287181,0.8479417784072159,0.8718432366959892,0.9384184560220755,1.0609500081389076,1.1565445070844458,1.2606926505707108,1.1547241701593298,1.0932342128146233,1.0792575852650808,1.250620717021422,1.0867205560181026,0.9973593810633659,1.1659771536655075,1.2013746301333526,1.0323907172549343,1.070760407108469,1.186565896543045,1.1473207153901464,1.0167456893910534,1.0911272961207052,0.9973674528456016,1.014080525199853,0.9983980780661702,0.9842725154393396,1.001578367965352,0.9076965743674131,0.9212977048128822,0.9186858899208137,0.9219866528617745,0.8907300091867325,0.9032577135324825,1.0089303819954591,0.9494099044137351,0.9225641782077529,1.004104909679429,1.2111642120591848,1.086059926231156,1.069197946281829,1.1942044975877737,1.2129883362171885,1.5495754443236454,1.1016312188637059,0.943171198948703,0.8593601334557424,1.0482797646863602,0.9790302731955812,1.0109535902599083,1.016952328434225,0.9159761157071552,0.8214854122597417,0.8293034719065074,0.8010503131458091,0.8245643423096455,0.7995291943546323,0.8439111333374821,1.043572580812193,0.7654125623037915,0.7741211240036522,0.8841507675652864,0.8701702562975736,0.6853077490391476,0.7935600817789379,1.092542248214961,1.0448805254179188,1.2106309825624857,1.9838849174387012],[0.9866211862727791,0.9268212385724732,0.8719699171937675,0.7674199796424125,0.8933507963929846,0.9663758858221112,0.9450934197138081,1.014624198911376,0.8956290659583884,0.8082633938229573,0.8212955386265318,0.948356660497752,0.8757963799724361,0.7838116682782943,0.9028779743262486,0.9085292591318964,0.8398740617638462,0.8834477593717752,0.8879223163869658,0.8982807366858429,0.9183767155481237,1.0076147706349434,0.9912584043815829,1.089445584933502,0.9681531096473546,0.9062917195887461,0.9158431980294982,0.8818930663512005,0.8999143864376627,0.9572109566385206,0.936440786184368,0.9772584093102576,1.0539607331519607,1.0246826653719507,0.9931116894740827,0.9545559494003967,0.9761535423723209,0.9528506401975182,0.9421298036009748,0.9833192393901118,1.1246038408351842,0.9765216502870735,0.933696562689479,1.0850901826545458,1.4910054097426555,1.899840844983618,2.2472162206850377,1.149674285402268,2.419700254702152,2.284288185395674,1.8219563128386922,2.379434953297595,2.7171069626646487,2.7278809362757976,1.9506030637574194,1.4856516852740886,1.9096811685054282,1.2990298039005004,1.7316576505511452,1.2558706790422902,1.0517195368246037,1.0049421321614374,0.9557719696925058,1.1317303821909883,0.9146453000472041,0.9641729511631371,0.9963743609923134,0.9690394369581579,1.0535755781261478,1.0049593409757065,1.079074627787419,1.3743578910188639,1.244279085183457,1.1268823913131254,0.9050253352830563,1.3451848840893987,0.9253823075616172,1.0148174312044307,0.9910664148652927,0.9676946287342025,1.0778770618385076,1.108919976870492,1.7563266354214653,1.0871749111410756,1.0612912209192493,1.0303224812840133,0.9688837110162843,1.047270975289636,0.9550678374886604,1.0410459423085479,0.968189032309066,1.0396031707679205,0.9594395450562501,0.9880991787192304,0.9612716818659125,0.9872267416653578,0.9838977744007505,1.0023806718302306,1.011447305916175,1.1752328889470574,1.0468587670912426,1.0984746589555665,1.0788301693768703,1.126974150112612,1.114825612091581,1.1066305723857688,1.3375638637252747,1.0749607721785885,1.0740464853864662,1.1858871862398874,1.0145277632120402,1.0059430621532797,0.9929956995100712,0.9375957336097789,0.8670123263773841,0.8552307290898509,0.9110834658069995,0.9705225493576564,0.7893307600682992,0.8762780189710234,0.7817446053131426,0.8011115272745118,0.7681590092363095,0.8008413734733965,0.8535079142174152,0.956880356070402,1.1584479647963744,0.9685045936778057,0.9858240488652042,1.035294509251483,0.9850672101318435,1.0828516334400728,0.9873335122514585,1.1098394896443367,0.9436444101509929,0.916309527630008,1.0988770077821326,0.8770472387741792,0.9097047350558752,0.8739586249466388,1.020258776647285,1.017652416357604,0.9161046182312749,0.8676312454352131,0.8769941347510153,0.9074506345992888,0.884147833166815,0.9375362158851368,0.9920214223896763,1.0059703481275388,1.055934686658648,1.067208314844373,1.5327677218573899,1.5947166916009297,1.345345654737337,1.14247848964604,1.027770607779721,1.0714508331999724,0.994141181264071,1.125832686691349,0.9480319867898018,0.9608837429264024,0.8758883050402798,0.906550710592708,0.8794132296893856,0.9719455618872813,0.9136795311587181,1.0056380982748137,1.1020944820236793,1.0437559306405864,0.9147197417191203,0.8722322995331101,0.9125394389956057,0.9370766110525266,1.0027894414655683,1.1341909391634097,1.049270291317922,1.3825327162013128,1.0831330146444544,1.09503948116359,1.0136830200164955,1.0644439745749774,1.0223054301842656,1.0094670052006398,0.9875366230967428,1.071144855511254,1.1613215514740716,1.3763507961199248,2.008189772521911,1.5164436991021035,1.3242708146847866,1.4157305479411553,1.1860809299269726,1.1104352535266921,1.0119651044533768,1.041396692112293,1.104410343330412,1.0165660449516607,1.0545799059138832,1.0914184898788337,1.1125869685166123,1.148122799498596,1.0856534518305874,1.0576201806645966,1.1462324293660684,1.1216458140340964,1.047993925355433,1.084611563337629,1.1633813711683094,1.0805384872230412,1.086771713075489,1.1033746152688777,1.1114927136266357,1.096057141261771,1.1734260867195345,1.1773266240375184,1.2548376942530137,1.2703515085304466,1.1662230174368402,1.2067128042803534,1.2982186548086105,2.3503942910968805,1.7361791045118642,1.7988657320104628,1.2303948628703165,1.2581438160591125,1.3204670028075713,1.3182188698280317,1.2814911032783065,1.1898394386376103,1.3715944157794895,1.2050216711842177,1.3249087685512289,1.2109858148805426,1.2876057953695355,1.1642319940221002,1.1317555757744306,1.099767138448103,1.0481205074641955,1.09841903077459,1.1959804331582127,1.3046518485000693,1.4081176317427573,1.5302194443783106,1.4329756847708137,1.3495423961059418,1.3659340341998985,1.5472951998531144,1.3424849840029813,1.2576753368097269,1.4286145891299054,1.449087475811999,1.277452614798067,1.3307642649715785,1.432872740554467,1.3793008395094437,1.2473394325239706,1.3280733250557981,1.230964852185318,1.264478904064968,1.2570822139824471,1.2492398679127235,1.2433234826374686,1.1353916936698905,1.1525470938077162,1.1383293590082193,1.1320076438422888,1.0941875099219216,1.1230809627482132,1.1742257435107843,1.1336014598411916,1.0931879562161806,1.1880592671814294,1.3683956878129582,1.2546525153716637,1.2157800791312097,1.3136382183661033,1.3241536414960846,1.6508214915521613,1.2313331954584381,1.1112525574325138,1.0375680515929138,1.1709375979988823,1.1135622865988193,1.1307065088387191,1.1253699466437792,1.0653016632634487,0.9975769020756573,1.0231527420989062,0.9986119787341027,1.0369716696690363,1.0523353230649686,1.119068530277313,1.2848439488568788,1.0172373961149217,1.0335158460199265,1.1483739927508683,1.0990323689850847,0.9118490423427389,1.0440245291531427,1.3504568520710327,1.2747689096663843,1.48611274064398,2.257780147325542],[1.1691396004231969,1.1381503551996848,1.0881587717067889,1.0056063748766342,1.126334850101304,1.1903490786302446,1.1826437533480583,1.2538195529062879,1.1321183401515071,1.051032759519031,1.0647175592923723,1.1772167602067891,1.1238141020942507,1.033008741023821,1.1203459853028201,1.1285871163113876,1.0563056790948073,1.1270358838103285,1.1318742444828613,1.1620498938576493,1.13763089335027,1.2146745345463406,1.207767590420987,1.2644963198861936,1.2244517062045797,1.136382159086034,1.1656707244190814,1.1387701836779451,1.1480074612204725,1.1959293654379322,1.1482012038600227,1.2044393344020143,1.2784214144238417,1.2452478386359154,1.2102271896963814,1.1960163577180298,1.22466705183174,1.1901110338330034,1.1784412323297677,1.220879537439384,1.346715073475626,1.223502992753937,1.1836537357037518,1.3379589096560611,1.6602827315991888,2.142934895323783,2.416980262751189,1.432336671526678,2.5579029190727813,2.527396681344211,2.0101882398623068,2.5384882045294375,2.8594303120388327,2.9048609726475716,2.018425937570657,1.6538760636089147,2.1331704352859586,1.452545116060636,1.8163378338734184,1.5226721904954528,1.3145245295693648,1.2341146846502902,1.1775274152216948,1.2481067517187627,1.1428415593963683,1.190484345863459,1.2124840764378528,1.2036417918633806,1.2635665767565103,1.2264391610163536,1.2764345025480206,1.5168963325190954,1.365771733218722,1.262101179142781,1.0999024771590324,1.4137208039335056,1.1554596823251215,1.2113553622540816,1.2143348454505334,1.222268353068042,1.301760059809726,1.3060397844247738,1.8974146989461618,1.301013214334296,1.2705938443929292,1.251329029673515,1.2048821206888662,1.2834561170921668,1.1950128324300053,1.2493063643347202,1.1923346162183948,1.1911694284685923,1.1429653714478287,1.181194856455595,1.1635975311944913,1.1656935931496466,1.1658930975256965,1.2195442007356436,1.239253130853589,1.3559737142898833,1.27512467552117,1.3080238451827513,1.310927153629205,1.3537096795667043,1.3478213151801504,1.320136523725868,1.4987484423750381,1.280208048122908,1.2782468860281486,1.3800550367796025,1.228588307946784,1.2314932086548611,1.2304254190724695,1.1860727748944,1.1174055509418859,1.1077290506180943,1.1984566781615846,1.2147486309949194,1.0119911417832792,1.1033972914880312,1.027788953027419,1.0440173721614237,1.0069926121407622,1.0532124839663901,1.1056898593014919,1.1969449805927281,1.3753355867400545,1.1966029256646638,1.2112773433163915,1.2625173378838956,1.1968288853786404,1.2859663405510884,1.2149554745653957,1.3199922517467382,1.1750393382672737,1.1607004817367241,1.2793971969013522,1.1203985342096845,1.1194094940794796,1.1085632899472335,1.2128424884775146,1.2103297145449314,1.1361488093456236,1.106597139859676,1.1274028888243877,1.1501577321251446,1.1307301335793585,1.1865398509737548,1.2355438242315433,1.2406097586080254,1.2730576472033912,1.2753103758540498,1.6432946387047198,1.7327552130400241,1.5124677569611131,1.3444005147090896,1.2593839705673457,1.2869710240648684,1.2310269748013694,1.3558033146740245,1.1838505431371704,1.200393328048247,1.1089417767092253,1.1394043995732033,1.1324647052090406,1.1632882673360776,1.1351247067980126,1.2401552879818765,1.3440916985324316,1.2624607449699958,1.1413707032206297,1.1068796211690108,1.1489408416621552,1.1761870952465676,1.2410487741777902,1.361932751730674,1.2783165985976928,1.6178992936428593,1.302054843997264,1.3113584438444759,1.2449501075476759,1.3005232945881564,1.258993964005335,1.2467630380002515,1.211482051775469,1.2636487264722003,1.3675659732816137,1.5120094481689925,2.101940888851416,1.629299026835572,1.4349645973622764,1.6002069286137066,1.3857189052763133,1.3213841202879695,1.224519220548746,1.226799587799301,1.2525781842365382,1.2087686111276212,1.2344131698450804,1.2735577291313622,1.2835144333862207,1.335684753915389,1.2751010451447387,1.2324139663455194,1.3098961178184345,1.3037049720593186,1.206953799370141,1.224525112126031,1.3325604773694062,1.238471705683242,1.2170391503999605,1.2219857919342256,1.25659183141156,1.218581518517843,1.2681634818856264,1.2769429669824506,1.312310949820471,1.3339028386637526,1.2516795485432712,1.2833809950591528,1.3675132191296402,2.2603505017662435,1.7915352573668777,1.8984168471763385,1.3689777275264916,1.416817319013191,1.4830528623155217,1.4535687938168638,1.4081341421160478,1.335378271203136,1.4918064896620282,1.3442039465155606,1.4491174610866504,1.359391349924868,1.4063575385360025,1.308661012661394,1.2558907762234217,1.2625004522884755,1.2037112291315841,1.2751508589684484,1.3549113451273764,1.461706657203314,1.587451584734515,1.7313831149304717,1.6305404508390662,1.5432469998107463,1.546905753970969,1.7519566653575191,1.5532549784273417,1.443693843021521,1.6135837042384285,1.6460571672930944,1.4763653058081214,1.5045900405830164,1.6180100374900808,1.5810788523293742,1.3999653589495131,1.4771977640293628,1.363956416623172,1.412238785081254,1.4212802661276969,1.399000803742445,1.3675178297119144,1.275908408313656,1.3087514892295251,1.2625107516084217,1.246777504288518,1.225294003411691,1.245066622437264,1.2581646418999537,1.2328073028306925,1.2094654274188064,1.282438246772853,1.4390295729894338,1.3363374236588843,1.3041373841990538,1.4153212232440469,1.3979994391742037,1.732482474430175,1.3194570875461915,1.2105797580667574,1.172847410369462,1.2873302333181218,1.2439599925709879,1.247434330945844,1.2493027137193164,1.2028900706003345,1.1802564245201628,1.2091191252805782,1.205452558241497,1.2267658836858442,1.2663771850121888,1.3351066455829774,1.4635444619028508,1.2310842754663647,1.2552940614403827,1.3893970211405575,1.3148284800770882,1.1476866962134258,1.3367026749581437,1.5926349059496931,1.4870843253304018,1.7131486298290024,2.2829815169171748],[1.2876474630400518,1.246006584062404,1.2069746942612287,1.0407701390727095,1.1566612856791951,1.1944432299315748,1.1577023662469028,1.2239898142278556,1.086595468617029,0.9758809036142261,0.9634328215880443,1.0988825332850616,1.0507353396573669,0.9107473239762244,1.0174521417107716,1.0290630876977054,0.9667782059096088,1.0054502434213048,0.9982842935874222,1.034822156827045,1.0205740556869327,1.1141462921025065,1.0757668123219501,1.1529478163126685,1.0950140267522355,1.0140715134882992,1.0458863654825046,1.0197060807863123,1.0475343685323755,1.1056614949348738,1.0376330690201783,1.111650403000454,1.2014590299333012,1.1522071609434061,1.120208045984257,1.0850986583393525,1.1306288193870386,1.1011004325629632,1.0964141674399028,1.1550604675153857,1.2554310714280636,1.1098829804262247,1.0838923945280403,1.244049501446221,1.5639664467479022,2.018194172261438,2.342390810393885,1.3245856965524765,2.4912093204757295,2.438332207781151,1.9191984408158693,2.5351858059658765,2.811646723614416,2.8309996606701353,1.994505945303967,1.5962462374024815,2.049311445931256,1.3631786678355458,1.7592644759133167,1.444579576497162,1.215212638935742,1.1088748027103001,1.063089201144316,1.1714014756438762,1.0133940209411072,1.0710950638659769,1.1276081955663018,1.084207691223843,1.141701804817826,1.1055151981894995,1.1679007624136626,1.4297822459458973,1.3209294126228814,1.2076214868752335,0.9964692213568747,1.3991153461020496,1.0428115689286346,1.110244056634347,1.1211375800579413,1.1191660775617283,1.2262189630533706,1.2422849401021707,1.8408068901233219,1.26890460475722,1.2198488253141337,1.1897866483654862,1.1236828123623723,1.2214977179449775,1.0823958162712466,1.16148711482125,1.0928728184166192,1.1045076227253392,1.0571078233179272,1.0886118493561667,1.0565530107468935,1.0720515926087937,1.0598252265132884,1.1286686673687711,1.1609702523950582,1.3369276753923924,1.226084662775785,1.3171682599702035,1.279700879043581,1.3713846222401926,1.3815827093121835,1.3598160764469265,1.5880666712834859,1.39083257039649,1.3927004207879599,1.4621027617141606,1.292504852469141,1.2354636403402348,1.2024200138854038,1.146888747571903,1.0480473240880812,1.0169085882819553,1.064725778665857,1.0943558222414227,0.9039828827930896,0.9588913081758409,0.9009649172034767,0.9168289919040503,0.9016346014892042,0.9560760243205854,1.0347724276958954,1.158651391428832,1.365735398011029,1.210699442904199,1.265201917266631,1.3176876412678435,1.2715192772095967,1.377399041875079,1.2826337406089705,1.391752331062667,1.208306717158198,1.1679987148756439,1.2850994738556465,1.1183032902399836,1.079305734050776,1.0661708726891885,1.1677091223413383,1.1452193722137776,1.048022365166915,1.0394346943508168,1.0496743062054235,1.0705745279297147,1.0566039932471514,1.1304699249082935,1.1963599378574383,1.2069878970480212,1.2604079218280209,1.2530123140818141,1.666464301022882,1.7552365518089674,1.5181178295186548,1.3354709481770988,1.2162312465907796,1.2783549309835431,1.1889179775516645,1.355921849682793,1.1712251863576018,1.1540595927996713,1.0784399633112012,1.1011325330768933,1.1172096161918625,1.1395285541556794,1.1281798453968404,1.2183101538242056,1.336869775345009,1.2331491941801442,1.1443687408058718,1.0949044854692376,1.1521152025178343,1.1808525545873265,1.2247205464868691,1.344635707756386,1.2305065223244402,1.5637099854708685,1.272490161795894,1.3103898154796254,1.2515661213403806,1.3293051296485363,1.3061334224868058,1.2861333590850652,1.2390301284545022,1.2427295315136488,1.3194927011017505,1.4819194413285193,2.0883123517190074,1.6511749731794383,1.4601024525547937,1.5751575191928833,1.4149194305673958,1.3683723614202523,1.2970907403169538,1.3340492214279402,1.3309051753734256,1.3271000183167267,1.366357004695061,1.3950277334858827,1.4433017831597397,1.4795691219340354,1.399689782636503,1.3973980209783554,1.494703395951226,1.45242374055404,1.356220513823739,1.4343032681703638,1.5415560696739714,1.4131573014358187,1.4190565010723262,1.4581850164154682,1.4617905500178126,1.4089363519886324,1.4791422958552305,1.4741617030471357,1.5429989371536186,1.5192743255508572,1.4840383279581013,1.5512428532492613,1.6320387458843009,2.3785937276765847,2.0183449306703825,2.092884765272377,1.624101528665479,1.6716305946964636,1.702854864345819,1.6722553629228087,1.6762657037638584,1.5384661778222972,1.669964385231959,1.5483512905255012,1.6017612066212084,1.5183653012706408,1.5789429344655508,1.5022138798022333,1.462948477805689,1.4193113929757974,1.3772698001695018,1.4082676472230267,1.5145006487200918,1.6233073380989105,1.7546039047178341,1.8785213346925882,1.812121984742211,1.714187232007065,1.7419329303258269,1.9170736742050811,1.693165176227681,1.6319153933036488,1.8008028399971665,1.8029392481110407,1.6445779986211744,1.7297715752612617,1.8373781842552672,1.7959765743471778,1.6400755574848844,1.7340664055167079,1.6227732204501715,1.6704598606854486,1.6455818171315622,1.6455973593060513,1.6245394018856048,1.5158240190068253,1.5378230649946039,1.5239297055729355,1.501466767447538,1.4534916830704665,1.484619607822158,1.5100831501575924,1.450409057647223,1.4294894629693802,1.4996450686171965,1.663152055607088,1.5249257969062404,1.470493312870696,1.6026115517852673,1.5823436923776106,1.8737327932781918,1.4914000482688972,1.3813409064899047,1.3199594544301028,1.418476187216797,1.3822130969246837,1.3974825017252646,1.3928580684659937,1.356996829779797,1.2846503322074267,1.314194722619748,1.2646155909340964,1.3152216466926634,1.3778988601868267,1.4628045862502121,1.5239878973240537,1.3057693423391432,1.3659232333977678,1.4693863294668272,1.3479273448714637,1.2173054367937473,1.423260606340597,1.6108831525368976,1.4824107999155323,1.726356076230804,2.330732078456223],[0.9977420077720887,0.9253362898584087,0.8312997200382853,0.7163033893655811,0.8353448298380014,0.9051676322257473,0.8778219862335875,0.9478079586878034,0.8325601611385779,0.7453916498218693,0.748481630053108,0.8656067193982366,0.7948162317352997,0.7217708386656593,0.8097988770960282,0.8129083197261688,0.7594788939217555,0.781748282887256,0.8098059335542068,0.8245834973506028,0.8284077959598397,0.9274467643699812,0.9363560229870517,1.0918127498868042,0.9396779672811402,0.8691259063749499,0.8452767514148444,0.7960958479358082,0.79004236597219,0.8486447437288602,0.8297738633509598,0.8664002944304667,0.9492554409458595,0.90359331770429,0.86942158375899,0.847417875808386,0.8701205869347267,0.8373980079888225,0.8390199401676035,0.8767883269626621,1.0670823982365827,0.8899247620552324,0.8421704075726657,1.004425590106109,1.4788824367086104,1.81091660951531,2.280645830676455,1.041061690147907,2.253569571474666,2.1452336864886243,1.663478396485236,2.1848435003317466,2.532289014468512,2.512918854299192,1.8019427045580594,1.297480485287645,1.7921300765774089,1.135644369120362,1.667928468568649,1.1860880657923534,0.9498233154903417,0.863935030049393,0.8291097204922323,1.065338464460405,0.8223091871591387,0.846996553445594,0.8810522201621883,0.8624037484687865,0.9617827696094969,0.9157913739577013,0.9792875209181715,1.2785086347707735,1.1442817990606018,1.0486485194476065,0.8134209760093212,1.2969029452805634,0.8093034365852538,0.8873244635839124,0.8628147849892926,0.8676113978552407,0.9435064086117388,0.9859745913188748,1.6999332412052142,0.9879808863876219,0.9417484550878037,0.9205170234031472,0.8496393283642545,0.9433023110325093,0.8474010197205789,0.9057179770040783,0.8508761413951055,0.9607414071954296,0.8580859495547598,0.8829364433745346,0.8577226918483069,0.8936814277756191,0.8834056447551358,0.904817372432422,0.9124844645328054,1.0751010672791115,0.9366830559528856,1.0046161672901366,0.97226386614161,1.0198494998657708,1.012137512375921,1.0081222034732393,1.2477968740777374,0.9834520881740302,0.9724138429636799,1.123939666327813,0.917825583437189,0.9162233817856545,0.9067443395009654,0.8636827520703176,0.7852850936073401,0.7901286643821721,0.8386027096624441,0.8559150868098357,0.7629371167662107,0.8073249090216414,0.7295335430470605,0.7438547366782975,0.7146877523460332,0.748052951674142,0.8012616097079508,0.9020422633023657,1.128281506157818,0.8808512686364071,0.9065118223149453,0.9593116165566518,0.9084491841669796,1.0234631301355404,0.9013340686752892,1.0287332877460558,0.836085979931846,0.7971021051939855,0.9734266410591016,0.7585479108532841,0.7967308398124164,0.7737980559698565,0.9503573274481815,0.959359555994223,0.8694756272304748,0.8174247579532467,0.7968279194117843,0.8137462088896609,0.7965415587236545,0.8431987855438241,0.8972183898463919,0.9127445111444227,0.9637454415013014,0.9767861127459074,1.442034689838992,1.5651199087872971,1.277955130949245,1.0363925957939062,0.9243059496569572,0.9625944227600621,0.88767396920722,1.0318099734303652,0.8575747877741761,0.8587533939009286,0.7567987809689991,0.7892030169594517,0.7667306290646497,0.8741180077335717,0.7739792298896004,0.8870198072513696,1.0085739594092251,0.9286054493978803,0.7860967532108197,0.7472799947464509,0.7958869319110108,0.8240991678007206,0.8984830864564087,1.0479551210165627,0.9604163286993509,1.294444188022936,0.9802750951897413,0.9886712252696311,0.91665945784823,0.9812191770360009,0.9375625734170344,0.9111747045432266,0.8934681146679186,1.0005678023288815,1.1127984229290504,1.3553497592708321,1.9782984872225808,1.450428565410458,1.2645520508268542,1.4066692668885201,1.155912346157836,1.0513263913888704,0.9283257198098845,0.9754872190951808,1.0025746572489862,0.9484620948844985,0.9939121203771208,1.0391110529754082,1.0616133580477765,1.1069788467944301,1.0370282660557286,1.0083223180685914,1.1087511342370588,1.0910683431127288,0.9848307249001517,1.0338498106742673,1.1553744040496283,1.0392189087906831,1.0220432764625915,1.0741436886764713,1.0975699693581737,1.014264585965808,1.095722732317629,1.0794104976746741,1.2270133525840463,1.176055631475708,1.0885663569322872,1.1613486342695678,1.2675761061558397,2.179016640467698,1.70151072905336,1.7861765738487465,1.2139314234098284,1.247618927861286,1.3166487907896098,1.2729785566376792,1.2552615387232868,1.1409114188335103,1.325660398774716,1.1460526336194439,1.2465520462962145,1.1465409223318628,1.21199728710026,1.1129193994458644,1.07175259994173,1.07086449119515,0.9867993693555608,1.043011032781343,1.1300124448912183,1.2599479820874262,1.3785183313106488,1.510404057792642,1.4034226137736479,1.3189975068035396,1.3450210355923098,1.525592603670088,1.3199868431522483,1.2415460955875708,1.4276341375553168,1.4516650118491046,1.2779268586885595,1.3439882745943723,1.4675972914427702,1.4183549860802025,1.2721248904540712,1.3748415963571616,1.243723833519144,1.2805499030606862,1.2577336823050094,1.2435634291153856,1.2422687089512268,1.1132873413757678,1.1347108361995686,1.114105522094625,1.0948603070034713,1.0423908246983191,1.0669159976373426,1.1114966464240164,1.04641409564938,1.0294894952111195,1.1112105115420783,1.3024618172794202,1.1548760867156256,1.1328600615096398,1.237748345073937,1.225799096158522,1.5899538374212945,1.1164263903348062,1.0066030378430981,0.9296234438499483,1.0539099519196662,1.0154507648924813,1.0229017051298788,1.0434199687282086,0.9975109217388436,0.9324429943108186,0.9632094923780767,0.936813580383214,0.9735642846421257,0.984507637265966,1.0585061056992342,1.2207506827177892,0.9368496642990185,0.9716725191853361,1.0912421724006578,1.0373787577580758,0.8453970155068586,1.0234993141838533,1.3041613042803324,1.2020880689507896,1.3686970489818502,2.122041479566346],[1.0249546445197015,0.9579849199586962,0.8710503785601723,0.7401842771208267,0.863231643635299,0.9502021464808386,0.9280005643430832,1.0123443146814652,0.9161202375597456,0.8326956539879313,0.8776087622498805,1.0057699330215062,0.9040179958809796,0.8460681136425228,0.8991093688593617,0.9045276805027295,0.855858489185728,0.9037371775921191,0.9339961234541886,0.9365357818937377,0.9177846371704281,0.9863046717349234,1.0431770738793242,1.1125863482681375,1.050971241830036,0.9545466479177331,0.926428280576357,0.8961071563109615,0.9008184109615197,0.9457012852925161,0.9512825364350136,0.9632511149817952,1.0621201899694273,1.0198003685579455,0.9678911953476556,0.9562307082264971,0.9602287890302046,0.917962986840484,0.9030005794883056,0.9262714566716918,1.0839662560286314,0.9818224576728753,0.9365746405365938,1.0171711186630956,1.462945369431332,1.9367767822807518,2.35540508397839,1.1454900516205513,2.258808759751269,2.2388054456226096,1.7124327516865483,2.2484501487089177,2.5841614184586934,2.5900277962679303,1.7795047378757773,1.3294109493439727,1.9018355944797258,1.1588056055797413,1.6880889950194806,1.3044046383245842,1.1069739208811107,0.9760616213300445,0.9379657106729137,1.0820195483501103,0.9102077700827478,0.9453076405504214,1.01760008564653,0.9876119317752082,1.0784362814907065,1.0646694600179416,1.1171752592256052,1.3774238992451697,1.2539198040897017,1.1524178889457408,0.9171737823147238,1.2827090688863974,0.9291762930020196,0.9853672469957253,0.9707493822230056,0.98802515713202,1.012484144971375,1.0328916643966803,1.6886166028501979,1.0336763308087937,0.9547684856691995,0.9727166871844414,0.9231620965723091,1.0194884810382911,0.9532241905021855,1.0167204422517062,0.9728969493001133,1.0367837631101637,0.9716037873509132,0.9871777053842102,0.9663534512862779,1.0064807009520522,1.0103641885544352,1.0205178562491886,1.0315264971242406,1.1622128241557452,1.030218194208933,1.0768238323134778,1.0465437484038862,1.0774520506395266,1.095900227028686,1.029395919331786,1.2382342137884816,0.9993827958715887,0.9890710606568205,1.146635480072422,0.9348880255223826,0.9464445852041544,0.956345163608344,0.9227213649328355,0.8732966036269681,0.8669018438312484,0.953126380902969,0.9711315661592703,0.828150072857953,0.8895596587758676,0.828057138497565,0.8371817167648975,0.795096472782205,0.8072087371465932,0.8633068633000475,0.923168897784492,1.1241046577417118,0.9006151513098091,0.9289369735402275,0.9871446352919329,0.9160329759163276,1.0312117028983727,0.9161109032558818,1.054305696393828,0.8611808337535064,0.8496458657220749,0.9802847598640914,0.8252583551775343,0.8582018270687575,0.8469397106438811,1.0364246734982856,1.0507001738071884,0.9315688417609043,0.8892953823426493,0.869695191911527,0.8786954701064327,0.864693772893631,0.9214921412301117,0.9576289243405397,0.9764673258993585,1.016613993222295,1.0362659376195846,1.4644638698736383,1.6428348465173415,1.3546005080465573,1.1011011903363948,1.008689192201886,1.0143459343114936,0.9700907595196164,1.0869112094679845,0.8981301972804142,0.9228365366030405,0.8117882117156446,0.8348244017492163,0.8124979106221278,0.8841777375985864,0.8169688320740078,0.975482043857876,1.0881970781914974,1.0012243935366678,0.8279744077436854,0.8095574198411677,0.8385065918126263,0.8616053554179971,0.9430531350223939,1.0878771477557936,1.01082631491967,1.3244233837478923,1.013765486741381,1.0190948399141417,0.9606993058188196,1.0251930020229616,0.975825318044132,0.9382042347037306,0.9175086224308483,1.0270448443912112,1.1655770246806718,1.3269939708112921,2.0357694857469655,1.4591209675683605,1.2699487506173575,1.4828473946217167,1.2111719460852053,1.0912929417383874,0.9359956484414604,0.9673800173577732,0.9681410837941423,0.961802118448684,1.0018191769649765,1.0529474634045075,1.0751522078540015,1.1375623219155706,1.0620929063683897,1.0248306491723498,1.1272849798581883,1.1186389108709922,1.0057492535566372,1.0488177912706567,1.1952619168749077,1.0741090224489709,1.0423023923515176,1.119808501447612,1.1580581731428863,1.032425449357935,1.124484781931204,1.1032762442119346,1.257289409944797,1.1911106959207791,1.105087673109441,1.1740756142741549,1.2713125015228197,2.1266482074107382,1.655844072255656,1.7843811660486006,1.228371973568357,1.2576370213207937,1.3196802377166557,1.268993941879027,1.2670478713277256,1.1701759878106417,1.3419420995129854,1.178636306341472,1.2858446672639325,1.1764064090603736,1.2031393889732935,1.1567711383064483,1.0617466087229745,1.063972296893382,0.9962164673283983,1.0671205319642156,1.1249957579194612,1.2576736426924595,1.3795386908909373,1.4959907354877462,1.4036410985289425,1.3106832822558852,1.333519408654774,1.515000114976624,1.3459292167485042,1.2592647850481689,1.447735128322981,1.4852956324617939,1.3271335456261788,1.3802888889002813,1.5147241586046591,1.482283011099589,1.3331425357740354,1.4086480752294348,1.2797243065789905,1.307107237411428,1.2786328837795469,1.2553316455770098,1.2673736078907372,1.1435981270870117,1.1547249373252981,1.1381162164452048,1.1171303079589585,1.0571107940478497,1.0864273038919998,1.1484131499677497,1.0490119593569063,1.0246412052777674,1.1078175651188642,1.2849255331299887,1.1527135211764568,1.1402577416722408,1.2569796224592003,1.2433027523369549,1.6134044671855896,1.134992793657427,1.0178877365468622,0.941312568097822,1.0762181501939776,1.031688445947175,1.043786515483362,1.0578580019434407,1.0168835013893274,0.9367939042217431,0.9718572065260813,0.9503024982033565,0.9955953597751213,1.0064743258431363,1.0799184991677169,1.2211181932238186,0.9560300183302155,0.9932714736227636,1.1596564199514716,1.0803312156321603,0.9166360075742144,1.1653708689867623,1.3589145103673963,1.2150145238473804,1.403220557884071,1.9564832635124514],[1.080909796057081,1.0268171914756454,0.9553687987166786,0.8189808448055949,0.9036123645180196,0.9372570363505238,0.8849569135490396,0.9363100950895985,0.816408578781101,0.7355500634035899,0.7459158359960706,0.8505753088020376,0.7822622424010591,0.7132915295022035,0.769347403502269,0.7768493385528668,0.7515551458720052,0.7656500652242172,0.8041026321538903,0.8094139240456575,0.8036890558358118,0.9075737051362337,0.9468557090415549,1.079252871232786,0.9956318217350988,0.8852542807397418,0.8633263477144855,0.8054035829437818,0.778476746748473,0.8090673502326289,0.7988064408448244,0.8409837784573195,0.9280981900934525,0.8726558882953653,0.8266045932234745,0.8038790065305182,0.8307156011507851,0.8088910160666629,0.8284402315576229,0.8604905715711957,1.0543428287541519,0.8813692276964009,0.8418635263005364,1.0098795058770744,1.4889519379464053,1.8771045490302876,2.3309738554907207,1.1104850954771492,2.225571665113596,2.2585316414497063,1.6711643904231157,2.2410468871669877,2.5226074176847786,2.489739254117516,1.7028236442254854,1.22424547736594,1.8121944351729609,1.0407568152761877,1.6560407828581742,1.2348157246800933,0.9826360553613954,0.8305045693846994,0.792883289645489,0.9843991088548766,0.8113727961340704,0.8053651463469566,0.8576470502893248,0.8220585879968336,0.9374554115906296,0.9017543338215688,0.9520487176369957,1.229144705425167,1.0968350704439804,1.0002212706376274,0.7830335706807964,1.259130494987099,0.7647425449360717,0.828470121320349,0.8181881029191057,0.8486134279472308,0.8766091385834639,0.9407694097201948,1.6477313999190588,0.9554698991388566,0.8811807779959804,0.8832352852272444,0.8113720141385712,0.8708815626490652,0.8159540466446822,0.8724852925374054,0.79576947288976,0.9293116437439761,0.8066446290951046,0.8425899324506261,0.8182806550262782,0.8500035693139634,0.8648098407377185,0.8799510777249263,0.892025916906307,1.0644050287950948,0.9141074523018233,0.9906242533306929,0.9528671659272895,1.0162124839271505,1.0582222872233256,1.0015483931229165,1.2503392405218408,1.0107505180367606,1.0053560284751684,1.1163263487017432,0.9282953237572382,0.9116044854561959,0.8990976390793245,0.8810784391312164,0.8127825870721679,0.8239485889754846,0.8737176194115571,0.903998656127659,0.7965969546711724,0.7927915692760172,0.7714782320446993,0.7543441437198324,0.7648083108594482,0.7665130019470467,0.8177698731344863,0.9125565014227711,1.114274438052712,0.8988212094953971,0.933828437999388,0.9757437290565298,0.9361429049012696,1.0309975976176327,0.9415985842177084,1.0434018169668917,0.8840554430350896,0.8636363823557868,1.0307396649332106,0.857496994545903,0.8806132759126856,0.8484395317618588,1.02891864934668,1.0331849768210324,0.9032306039417117,0.8831953128005441,0.8352568093190489,0.814561878370245,0.811395723071383,0.8454630793326026,0.8898377320893542,0.8985996073321922,0.9592345589116207,0.9595538199084415,1.4008213122146906,1.5903681615875978,1.2736644163452953,1.0119463778494742,0.9102168005900757,0.9383583119133702,0.8764630126141736,1.0221826657415798,0.8566595828382684,0.8466676615650124,0.7880931374682016,0.7953546527208414,0.8129147760134515,0.9243706626627505,0.863604321387497,1.0463695179693004,1.168432132799708,1.049168050668252,0.8816964818676881,0.824356868398905,0.8311353361722132,0.8236788469365286,0.8770557445484294,1.009399346278212,0.9257307553554582,1.2652648815984577,0.9312780978296721,0.954155107779013,0.9131586314789496,0.9800282901786483,0.9560694619899502,0.9431909474618032,0.91608046564702,1.0125326964689114,1.1328101363189798,1.298321034461899,2.0528768632521337,1.5030486133219436,1.306222858399773,1.466229780130055,1.2557740326935711,1.1360001842542808,0.9749604497659854,1.0113110848614255,1.0131916955820526,1.0103299418168696,1.0417734831160916,1.06587720677396,1.1303224923458812,1.1933430266475735,1.0954081378907619,1.0891385245324687,1.2051264893642022,1.182703366642176,1.0555898032481976,1.124203270540639,1.290103193879016,1.1510542948861797,1.1282250641902773,1.2266329528646747,1.2527142940131533,1.1102280384585197,1.2084158909838358,1.1758428968290544,1.3650523420156815,1.2844955823798085,1.1913241862084873,1.2936374219789966,1.374996438110817,2.0002651736447077,1.8477082258887128,1.9787444698736143,1.3887444563659828,1.400170328555328,1.3888068395707633,1.340463649225808,1.3779870869605393,1.2446284219207577,1.3668467290231168,1.2696697925391427,1.380465270578784,1.243594914908396,1.2504713536422372,1.265797875902367,1.1337178696820644,1.140874942874358,1.0619511379804942,1.1417199547388182,1.1733339828028424,1.3123249221964872,1.4349972315631556,1.5946471013204964,1.4553185170409402,1.3611048624848312,1.4279197426676948,1.5739520513575092,1.3912759999301492,1.3409613440234731,1.5438582431461165,1.5691258767864187,1.4077540837080342,1.5124102328069002,1.645930777988933,1.6085174935034572,1.455968715906352,1.5771849105883153,1.420122617968225,1.448336954056113,1.390847522050717,1.381175366835071,1.4170945875738832,1.2491277995128096,1.2691373794346834,1.2683658061312266,1.2297930530983698,1.129994059270412,1.1864466442864319,1.2380888677714963,1.1338088629175465,1.1192719134786333,1.2025320480919144,1.3896805273534791,1.210903448145643,1.205822969434321,1.3656623073668637,1.3229452099216588,1.7133719306118438,1.183706338104435,1.085618445126577,1.007017385208736,1.1137829664377,1.088175033447684,1.1017702358930213,1.0921211575309933,1.0593724596274756,0.97906380282701,0.9949683836468006,0.9591963478064178,1.0103206620926533,1.02833441397858,1.110072669242999,1.1840787367149865,0.9643401027926436,1.0506556645188236,1.1686921124116616,1.047222045519566,0.9542628275217969,1.2054433220443248,1.3498493140711874,1.1526727001738484,1.385049733535849,1.9152633759654658],[1.0711082309584476,1.019718547873732,0.9316168473593469,0.8334014044101525,0.928787216997438,0.9851120100650849,1.0044770158499652,1.0786494633161894,1.0376222662311627,0.9996359867852564,1.0200478087595997,1.0920407402500152,1.0293561321357652,1.016717339842336,1.0878147962892981,1.0703389259194498,1.0234296848947393,1.0652205357926436,1.1335329411112465,1.0995335939373732,1.1089804492385769,1.1899350492972185,1.2244115205882906,1.3714899658697985,1.2121140259931011,1.159751950727154,1.1046149694935405,1.0499097917045273,1.0449102252542346,1.059440411998395,1.1099610304038803,1.0701687773524966,1.1693761544584196,1.1485020643646282,1.0812978358017702,1.0648628817449348,1.0479961923617158,1.0542606164523576,1.0415909216372279,1.0318203070919085,1.2550883057353737,1.108185382420594,1.0795958228744278,1.1689853142411573,1.5782305270307377,1.8186788164334666,2.42274536104678,1.1302165723343602,2.0629012099226562,1.999663306985811,1.4950117024937368,1.979345296692718,2.33847001392616,2.2155288998919285,1.7858279098681706,1.2667788853757083,1.647739126548351,1.124639261116796,1.8395442815662058,1.2947748658327052,1.0674686258524468,1.0354579084860527,1.0608053688983439,1.2890393860977243,1.1145436991206394,1.0923867039972672,1.1340241445852124,1.1355741461403757,1.2630087776545158,1.205132013699152,1.253084740969502,1.4862569479006094,1.3522575689387202,1.319658847291703,1.1354281908867911,1.5100312092156116,1.0809829206057924,1.1536178000015136,1.0993138811284566,1.0970616688493198,1.0855356007553787,1.1045575924476716,1.853039190093028,1.0775778812719778,1.037649423089412,1.0592142720069535,1.035706311087572,1.0806143593699307,1.0798777399359005,1.1398138477943565,1.1077454067535661,1.2298143353330129,1.1529798045028516,1.1604509663067204,1.138904841139949,1.1999587125416529,1.1773827624411695,1.1531577374666129,1.1273467466544367,1.1855113122427776,1.076586892797253,1.081900134346291,1.0716421017167348,1.0903821129509894,1.1025795484510483,1.0116042181710856,1.1853834982836968,0.9771850683737101,0.9729974413979076,1.120634199111266,0.9322489637475547,0.9909367804345227,1.0273579282497147,1.0309284052318666,1.0096407022959302,1.0255476611246443,1.091780107131701,1.0198815258007554,1.0561549376419235,1.0770155219696294,1.0615395211741383,1.0317766815544753,0.9940595980215264,0.9909593222159663,1.0058654613880051,1.0548151263464618,1.211074426098952,0.9509332254517094,0.9537337840321478,0.9952793424324976,0.9213655720942512,1.008369313239554,0.9128974734828396,1.046401406627752,0.876197592424099,0.8603434069000782,0.985980696130709,0.8875315702779539,0.9396223471911158,0.9509638870390559,1.1462042933269074,1.150545702627308,1.1303394136961264,1.0795084908481452,1.023542733428227,1.0142079114393523,0.9941675743730805,1.027072344498541,1.0323660913963628,1.059240057950825,1.0454116948075278,1.0875890326777757,1.515602114718984,1.6565246308329045,1.3852413716898375,1.1361148677456199,1.0576577844346664,1.0528559665611876,1.0363360649124875,1.1157295994625818,0.9705400763880202,1.0028229942734117,0.9049380828923576,0.928242902889388,0.8835285302291445,1.0148120705772772,0.84292013009359,0.9670668046229823,1.082650842562065,0.9788748526370131,0.843660719827366,0.8644858728342384,0.8895612724259208,0.911573145811708,0.9995336537548017,1.1308398007307567,1.0743926630554914,1.365158223587678,1.0688034373824797,1.0532597971188353,0.9963183682491864,1.0394669078703245,0.9838963835288591,0.9426050232973985,0.9452958561953169,1.0918745548860322,1.2594158738184904,1.463063901708636,2.088973834955172,1.5343370512498347,1.3356782253678894,1.5012556645943993,1.2181999829503118,1.0838531854125766,0.9321125536633325,0.9877441503812657,0.9795549367494935,0.9641052674588865,1.0009067066394646,1.0264847505807682,1.0476043163276345,1.0957610027216438,1.0355177898213137,1.0177828478577648,1.1024549447927343,1.0860932726877108,1.0093965075513256,1.0551955886897724,1.1723962612324828,1.0676462221240888,1.0559615956703345,1.1315219070219251,1.1518510757853335,1.041685325443602,1.1599108066501485,1.1492341850689596,1.2888299234826401,1.2882220134785936,1.1574819731345063,1.226914351395439,1.3294911064296908,2.009361358164581,1.7851774748400087,1.8976151925111036,1.2489755075095827,1.2505562920178135,1.2701272441305045,1.2241826914951934,1.2576260807879385,1.1501817301130062,1.3143355217270252,1.1731562892299743,1.2925162103779446,1.1743689275764873,1.1854520076113761,1.1957875685122197,1.0763650996208431,1.1031256620899572,1.0005100267526241,1.0393983336273116,1.076481146457819,1.2052071009030696,1.316878297731122,1.4542263396800912,1.3411122361454177,1.2603185801868906,1.2801233598997717,1.4678292737161147,1.2841571349673484,1.2068821079146865,1.3941572132996058,1.4249044613852546,1.2820421566908302,1.3471539751699355,1.4671919922704877,1.448094143678003,1.310038075240189,1.4097556621680776,1.2814283398286361,1.2933128417734299,1.2467709144201764,1.232703935631841,1.282641561954279,1.1377441757692215,1.149073533429714,1.1618885745559953,1.1425925837484974,1.0540752060471053,1.090019859632272,1.2072942629349166,1.096892996480302,1.0719155323395562,1.1610448900646189,1.3723763459072214,1.1925159697317782,1.188741321863051,1.3500135853053783,1.3198591107826412,1.7782917818200434,1.178678815951209,1.0633250257996227,0.9674719003710498,1.0825512475719095,1.0614267331568028,1.1011484881048699,1.0737649546263976,1.0319509544747876,0.9511793578318103,0.9758836630131632,0.9769597860556244,0.9897441495035841,0.97561004104203,1.0429433232334522,1.21043340728384,0.9458379748072222,0.9769854819016657,1.121275474287787,1.0909805113627387,0.9182833175282612,1.1324458847255088,1.3605467263692814,1.2435865613410308,1.3842074740534986,2.0637589184860254],[1.0884284395815387,1.0337230109082092,0.9990914174931292,0.9068136295597826,0.9187376651333263,1.0030971590694244,0.970318291026329,1.036368997309365,1.0759486986617561,1.0343286021685794,1.122842202035331,1.2349687259698556,1.0955962260381813,1.0396245592953421,1.1294458723851515,1.116258276513365,1.0511996301016386,1.0708983364957054,1.0370584866350792,1.0200078907751857,1.0558316494978324,1.0744601637329465,1.1770800411745534,1.1117814037676668,1.138814274691877,1.0541037595673992,0.9751218379709431,0.9907757448175991,1.0163511517800359,1.0722452527280801,1.1689706931485742,1.2025354638215964,1.3118346725313366,1.2611143173906652,1.1904035204585515,1.102107510319869,1.1317256404675369,1.0235845071697567,0.965833000532237,0.9735085177065409,0.9636559217270081,1.0366861559307512,1.0593826502403065,0.9421979250070263,1.5249560579100594,1.9709088726300676,2.3804460409047166,1.2957777091806093,2.438524299712765,2.3901595077167435,2.0436765590318657,2.717164002384136,2.750424180080607,2.743257135992638,1.6522715019731897,1.3728292451440378,2.18994719385868,1.3112182922773148,1.527085396875237,1.5736630761370936,1.445939804632087,1.2856384943501076,1.1922812822573252,1.3287738782576208,1.1603194256015157,1.1411383274731897,1.303179332604378,1.1499018026844114,1.1919033150598044,1.1928574012003605,1.3372890841241267,1.4921919786317104,1.5547357300277271,1.3806231277345347,1.2240358201643382,1.7325064897283797,1.1640214296170606,1.1742085352067515,1.1625766996910345,1.1364334105570468,1.1016491169892537,1.0796027860370891,1.4267822567603277,1.0848001551874562,1.0174370816391123,1.0315480026530435,1.0570585654927753,1.1756598582369249,1.111263279738068,1.2562275188122114,1.207082282981366,1.3456180584844453,1.267409401273861,1.2942641579120686,1.2333673286809919,1.312888434681213,1.3035616369927068,1.2782858406520516,1.2889769166700646,1.4916137018728413,1.298641404474668,1.3398965439720616,1.2115425243811735,1.181424264772614,1.1403960671948377,1.1354450628409825,1.2053142581960086,1.0676567504211807,1.0663445978448765,1.1000920515868453,1.0431642083910524,0.9717465518626648,0.9751545875884939,0.9741838589354195,1.0056059086230036,0.9574989417469237,0.9710304834013421,1.032279510650465,1.1326801694431072,1.0208250720698786,1.014934966801706,0.9970820877971294,0.9198673303120691,0.9157024065772821,0.945747151972507,0.8755367199031787,0.8463017627518821,0.936006757651791,0.9528644114172974,0.9736029949417216,0.9416409535660017,0.9539815993892872,0.9775436187680028,1.0379612165202678,0.9849814214115766,1.0326845162658798,1.1636969790230514,1.0095958207487221,1.0561547363050086,1.0144236471959962,1.1625418626124226,1.184651443582777,1.0448877987616838,1.072754019740139,0.9961993694518265,0.9807993896044022,0.9772023599043438,1.0277701282575733,1.0006758345745987,1.0439438760848772,1.1142170900625248,1.1997675236370104,1.51373255054022,1.9252954574586374,1.6957600704822073,1.3519620152102876,1.2131751200760708,1.1607030957692093,1.1213764362030563,1.0604678358861808,0.9923763973510425,1.0156881206484547,1.008259732421902,0.9960702870574536,1.0187662405131315,1.0701380730059717,1.0947119178857274,1.274920685144634,1.364285433182023,1.2738184511887964,1.0698224359683652,1.0049206266613397,1.009552936431589,0.9966641991974657,0.9948340082474785,1.0282882076589075,1.0751664384207134,1.1481929754849685,1.0212327461439683,1.0914564729672518,0.9981727399072658,1.0025418370067496,0.9953012271555066,1.0164515072261187,1.0349600091730773,1.0787834409953732,1.1279710515858006,1.2624390002770383,2.1563854582157513,1.5148177282904634,1.6685837068441325,1.8404206335067557,1.5057815584905583,1.2940400249743012,1.0133462539160525,0.9903871327408722,1.0391457060606994,0.9820579440990576,0.9911500362612151,0.9925722822307272,1.054583795331638,1.1335757384260576,1.0512672866989,1.0471707217416693,1.133134244881474,1.114136793866731,1.0427721843518294,1.1027479421357247,1.2003205709286813,1.1045847045349069,1.1148627550397712,1.1923000084696975,1.1983519640969555,1.130975554076756,1.2174107213603311,1.2015061148998913,1.3508908184385073,1.3275138097404864,1.201877041874802,1.271104203093564,1.3647067784223805,1.974751697494602,1.7845329612950216,1.9757100499097369,1.3286186459254243,1.3089174390029563,1.2297332412699407,1.202478465542157,1.2773050576077332,1.1481618392542734,1.2963565728170292,1.19068368547136,1.2925309783836996,1.1923205508402455,1.1956667710406517,1.2438970577237076,1.1141951162853376,1.174032927275148,1.0541814964906797,1.0847054741996573,1.071656001561041,1.1934965153035357,1.290930130396273,1.5516935413878332,1.3573874723710189,1.2370033351205514,1.313380677933664,1.4113218214756418,1.3018535353163785,1.2409432752205491,1.428476034853125,1.4747284141328163,1.3048131267205882,1.4175906666810918,1.5236650081545025,1.4894165505398604,1.346915075200546,1.4460531128759753,1.3269603934595553,1.3386661232083172,1.2762591425068333,1.2678638308583754,1.3327533564132417,1.1865708797055994,1.2060064865408584,1.222672923920146,1.2008224651230464,1.0930163848596217,1.1409306679735698,1.2762037800117163,1.169083058451509,1.163817418219391,1.2379148487172031,1.4603936023275728,1.214394018734578,1.2190656447272894,1.3580201859925611,1.336219232194776,1.8078248125849328,1.2151006371374025,1.12365231860016,1.0201311880040558,1.1304057994384193,1.1101863268365812,1.1626112943196871,1.111057132886558,1.0702676284288268,0.9579348860189804,0.9536977105893238,0.9268453673983693,0.9912088493757439,1.087954434284094,1.0806103895772698,1.1365185581101902,1.0640560696332206,1.1110510254548964,1.1744804634459625,1.064796923250315,1.0700214051884778,1.190918449576194,1.2554176659935385,1.32733952214491,1.6678996025863995,1.987067530161555],[1.4703626359274014,1.4623560467927306,1.3740409764394623,1.4054058957135085,1.4162713657933963,1.2864811001786194,1.2891669196568603,1.2056840543138776,1.1615218747454688,1.1695748892366353,1.0912945884705791,1.0628013299448262,1.1313511618378216,1.1826753659631415,1.1104914941476087,1.104171803796314,1.2323122348660087,1.2484044641059044,1.4009176982752056,1.337021883400808,1.3926459727837777,1.4353423614680134,1.5814231512430736,1.775831914516197,1.6281060105364342,1.5731981571650437,1.4597192590851353,1.3836359414288344,1.2556699381047858,1.18513859640779,1.1427042662573716,1.0383671124149103,1.057515669585878,1.027592619958728,1.073580477423401,1.165373141608658,1.144354319413543,1.2908964719573675,1.33924031903239,1.3232683659868696,1.5997522657296728,1.4343921341718986,1.3867869562467516,1.3994692559461595,1.8096552508728316,2.0695255585488868,2.7036217147098323,1.4283551379126478,2.289951223081207,2.153597384680543,1.6539338645190964,2.092544879807423,2.2890418682336984,2.149809262731744,1.8101780482198626,1.4009324505104663,1.6853770729840825,1.304632252611476,1.9760614078487846,1.4228186559873597,1.3072266683167086,1.2503660411252757,1.1822700359298528,1.4577301703728802,1.2711370216372244,1.279737797670816,1.351219817180337,1.2500965327202644,1.3676455357219823,1.2621280949345923,1.4231287409514963,1.540422203408727,1.4970809062208976,1.4282595494029096,1.1916306243340984,1.5324809688922676,1.1410008534852965,1.1031347816685841,1.1256729410754795,1.2118951968358689,1.1556378517172585,1.192335590629088,1.8132023998430251,1.2831261968958396,1.2753650207331269,1.241662335367105,1.219689971211302,1.1448724090197284,1.1865620152778615,1.1113358528425485,1.078713286417474,1.1876033345748425,1.101561454970127,1.0485489958346408,1.0601824240548554,1.059536164614172,1.0935975677798695,1.0193808403026245,1.018008171218843,1.1154418146245482,1.0174509460207557,1.044688772132009,1.0676407577857974,1.112967505865997,1.2322436553936345,1.2041453985923138,1.3015421380079313,1.2175398086372413,1.2341179158420965,1.3022927663100583,1.1984854391985293,1.2782731541529417,1.281510499202547,1.408902459200296,1.3320869186607514,1.4591677736106632,1.4635466866750424,1.491331648458544,1.495842984848087,1.3951066909712855,1.4212872588716134,1.3961427244671338,1.462565014759584,1.4459700029681628,1.4210102030609095,1.5084784914768632,1.4988155030944952,1.3548811779136085,1.3341831073458021,1.3342618198743372,1.3755241652353614,1.4000047998067715,1.3742237824977583,1.3867545600885829,1.3506431775984569,1.3303053793519712,1.4844428846657833,1.4833147766063253,1.565781268028473,1.520426157224923,1.7504030652673765,1.7476709276530351,1.6446056638251092,1.5848624483814284,1.4681261972150526,1.3486642953042174,1.3660087912412593,1.2750044342085887,1.2363232984491848,1.2127337354418781,1.141180497150294,1.0870087170792528,1.4508575165839364,1.6781769405959337,1.3997197579172658,1.057405167971127,1.0217863478813225,1.053915507031244,1.086629379886423,1.211038048904939,1.2685806770144121,1.2587799283089265,1.34899158560218,1.3198121049885578,1.3887361978904362,1.6019561791820807,1.4364930688585114,1.563877753378369,1.6205625914733428,1.5464912256164842,1.4306627738685607,1.432428265083178,1.3470772235188602,1.2833419299171744,1.2504950907286378,1.265104769947416,1.174688038319999,1.314972270514191,1.2446397297919014,1.204773620021439,1.3044292234903248,1.2911632604049308,1.321749581979189,1.3546787047825108,1.3925170864430183,1.4976452948460948,1.5630233855475604,1.8001092507237695,2.4879870978259206,1.9152194523861494,1.831105808698823,1.8679113094666961,1.6473118571054728,1.5250258566763173,1.4216817549079979,1.4699108643536078,1.4628930755445253,1.3968022640014106,1.439495029575954,1.3877501501972904,1.3333885366921605,1.2983593604557626,1.3146377016794335,1.3646709371034182,1.3202035375576555,1.2935304093001563,1.3992535040776348,1.3468309129965133,1.2963174207715602,1.3152951076732848,1.3401727297410353,1.3203439664838488,1.3012271960514934,1.3131998055339473,1.4114213153800186,1.4351872186238688,1.4974444427279185,1.5474568522087717,1.4310590185752328,1.3987555618628882,1.5290395061984994,2.1581556180940664,1.8146225955777961,1.8339690234573114,1.3339913664678673,1.3538243235237333,1.3934640009792487,1.3597059190408671,1.4121999441818418,1.3572912870466833,1.516004284180821,1.3922177535349731,1.4798847845499552,1.4463301820452703,1.4870693309099552,1.5356640795564633,1.5112698086540002,1.5061212353158595,1.3955888602996531,1.332111765015281,1.3444068923383885,1.3925845402832668,1.4180110405088007,1.4425609074610504,1.3613787254899627,1.373964876734764,1.2920589935517994,1.3910069521189095,1.2984480460937167,1.25943471981814,1.3373256731177012,1.3566284577642942,1.2976640123950531,1.3223553239259855,1.3877563334524183,1.3802768052720649,1.3093107324033602,1.3756059719116847,1.3140032094765766,1.3076411913569277,1.3002494117844505,1.2987550462200592,1.3567216309571364,1.3047658050992417,1.3175587520164838,1.3414444075552252,1.3607903486362571,1.3668792667031366,1.3465337237483221,1.4626621772507054,1.4641601972144005,1.4891727591990076,1.5439353387804085,1.7427256034766883,1.5817926358080876,1.600453962680059,1.6782319322392283,1.7114498520454422,2.032319339256267,1.6112354737767483,1.4860055598955326,1.4178993453653452,1.6013722737214726,1.5960762676225184,1.6335767524515896,1.6392038612777464,1.516767339197138,1.453572722617317,1.4094165770685072,1.409817195227625,1.3412527505058907,1.1742099688248033,1.1374283461349763,1.245402005003751,1.181732312341096,1.1599455772767233,1.1145088648881316,1.2033939405285954,1.1446456858621876,1.1023579356141116,1.2072551257861985,1.072579816667013,1.3071696106691004,1.829567915570972],[1.3193103063434728,1.2014303423818107,1.0316388364959939,0.8496817840277473,0.8929497563517217,0.8579078737663849,0.7782397431252325,0.8200886031544878,0.6922934555107718,0.565657105862148,0.5551725407068383,0.6804273194220344,0.5810460493822718,0.5262605024247189,0.5838894923781506,0.5729479975340876,0.5678481353905371,0.6103390143688583,0.6686906566244529,0.6377994609768817,0.672560716124207,0.7316667934796424,0.8401725296210204,0.9649456598406848,0.8346455818593215,0.7427843527071248,0.6685633287710048,0.6180860767285203,0.5942278824248304,0.6251515692031157,0.644681818124091,0.6299310607108571,0.7664234802357764,0.7011152612454391,0.6420492765380155,0.6183348136044378,0.6444289340123475,0.635716610860835,0.6429041179461998,0.6565897383956193,0.8444843176437941,0.7222093376208113,0.6901122953190725,0.691398771059401,1.3513253399708336,1.757256660098794,2.3281843738855206,0.9065681925628173,2.040632301502369,1.8891950154848793,1.5304166471571752,2.092936366202629,2.375932807900584,2.3181972126919534,1.6054427606503376,1.0494851940326246,1.7275616912188194,0.8980895143267055,1.4473275170918236,1.1295491065399235,0.9200516581430294,0.7522194203047766,0.6636923799890173,0.9820885634270304,0.6908581759633086,0.6748848558971217,0.8317865694580446,0.718323172152654,0.8621073581033272,0.7935043771624596,0.9082585515336015,1.2214850979376175,1.1361624019934138,1.0199008989933218,0.7036338413105088,1.2772832989076208,0.639286287182964,0.6694741357880502,0.6501957400378638,0.6514727083260045,0.6631257251643505,0.7304289494704436,1.4674070273484006,0.7553454418657946,0.717903156085058,0.6696281086130732,0.6228006118317752,0.6925346653756139,0.624766136835019,0.717361746649109,0.670923860011359,0.8331259423843705,0.710713388621809,0.7022038777548532,0.6652605253942175,0.7343924869791205,0.7351109239290511,0.6969195981782381,0.701438416902289,0.8853880289114472,0.7099895451436218,0.8060482413709465,0.7366273562358945,0.825507043940672,0.8965054079213886,0.8368017329590108,1.0551872578565695,0.8849440114664711,0.911699622942464,1.0076478628620873,0.829836925849089,0.7999938760993004,0.7694574102944739,0.7645310776699881,0.6484598865567641,0.652717930668619,0.6775820302354391,0.6984604156440453,0.685624809294143,0.6438298054886348,0.5966939487439831,0.5824346288809856,0.5980166515983183,0.6200409291471086,0.7003796201856636,0.8197922509804294,1.0378624476981093,0.8107479653036948,0.8640267102009956,0.8797390347595858,0.8852278109372265,0.9847184803497726,0.8423107668893046,0.9463366990093129,0.7639031341491039,0.7320348787532945,0.9215705639579965,0.7494576239603922,0.7654328135330563,0.7370634968524391,0.9652771461065962,0.9757130718325042,0.8026404670395411,0.7569564261222806,0.659698944388602,0.629352730032927,0.6334224794528811,0.6758020233006872,0.7094688522574188,0.736453078228181,0.8010611672116119,0.8041956678357776,1.3341971236543553,1.5670682513792045,1.2113495653659434,0.8411491437065424,0.7010563888051449,0.7573878727293535,0.663453072484956,0.8384879441649918,0.702246210101695,0.6725965873258828,0.6459390828336861,0.6359703651839086,0.6755306633220111,0.828412453812117,0.7214018056041913,0.9002533381693627,1.034898689808599,0.9349777310782443,0.7482403774697559,0.710436267749886,0.6828714169795723,0.6874230033785983,0.7072532895011017,0.8222163124578143,0.7169316966144024,0.9958162175940646,0.7352358121617574,0.7749838432321609,0.7682844487937306,0.8278154543228413,0.8192472853571988,0.8091374161395456,0.7921247107632672,0.9086923948521713,1.030129962443753,1.320428991587981,1.9968433288166714,1.3705465087705506,1.3476480340495647,1.5603364719640371,1.194326894607205,1.0358631730434613,0.8769812099190598,0.9749244661817232,0.970764598139576,0.9940029222651436,1.076904831592649,1.0749865697048249,1.1263739552424983,1.1335009987546936,1.0711845553506,1.1216638450931222,1.1964733033257178,1.1602576643509395,1.1400077010396985,1.2026707284342522,1.2771319806475447,1.196813849609941,1.2179374313712115,1.3120834033476951,1.304378506045201,1.2114428082395061,1.3639051880109114,1.2954662108019845,1.4812559770966192,1.3899569094298385,1.3220482073078417,1.3744251397487501,1.4790944030687092,2.2848205062763483,1.7861683258270478,1.8615804866802663,1.3496231352871113,1.346623240011996,1.371901188988829,1.3335417832483203,1.3717589272228654,1.2455220591142977,1.3839985901260232,1.2625633024845742,1.3372013245921797,1.2357818741549509,1.270482154258491,1.2891692902029517,1.230504983933078,1.1524772952803637,1.0989071401594928,1.0666959872429436,1.1392210218788723,1.2827793643686218,1.343616024987811,1.426060978054561,1.313073344334872,1.2812650952423386,1.3003837070635287,1.4170853490864341,1.2476303789689225,1.2472133374137713,1.397276653945615,1.4127587074202057,1.3273047193667287,1.3969162929355883,1.4956371551577812,1.4722393821286919,1.4171244312803877,1.5002411687691815,1.388100007262854,1.3801080149411944,1.32089840671638,1.3273726432772106,1.394408951657105,1.265886325783197,1.266407393976645,1.3045777312430902,1.3035329282519799,1.2211208440925765,1.253205242777606,1.3462957075456858,1.244675581469566,1.227478010855513,1.3151238344203509,1.494182390255025,1.3135849220275753,1.2878786933391044,1.3771316001498575,1.3609175805404807,1.7747394613424847,1.2946728201005646,1.1968918714547858,1.103880738260489,1.2147508452289562,1.1784950641553844,1.208450515820427,1.2309447596203744,1.1809560790773441,1.0355307872783661,1.028550037553351,0.9675293783247164,1.0264273556597943,0.9403561768687617,1.0049507752886246,1.1087743746720404,0.8817760350669627,0.9597435667134743,0.997149686850761,0.9342934974267342,0.8707407658836226,1.0105815018733098,1.0704057077004852,0.9296204352401972,1.1377906630915524,1.8367965408631528],[1.5029710218140442,1.4320794403258394,1.2819316843625952,1.229804336470152,1.228761543675651,1.1090768203490642,1.071624847452453,1.0468378543832368,0.9886221510231771,0.9477872952062933,0.8875899379128044,0.8956284376575291,0.9084550295172386,0.9015354237810004,0.8980354914036182,0.8918615584189885,0.9340820679725343,0.9465641673112029,1.04949732303975,0.9948458672791226,1.0335134150181076,1.1020375392900497,1.1803377575728846,1.4028367473214194,1.1732512968313333,1.1329176873128308,1.064933325746928,0.9869813966965437,0.9393111841601419,0.9211286940583711,0.9589334738656333,0.8877913696568024,0.9875165368160956,0.9571691123686114,0.9062384109877175,0.9176106337706107,0.907040303566797,0.9725650205853065,1.008805679416328,1.0010337825962987,1.252249682936561,1.0718308881650578,1.0541117799477788,1.0338956430674386,1.5707667760081983,1.7736080533061924,2.521225252015826,1.12519737493293,1.9516777034916213,1.7348317243172384,1.5263915259221625,1.8820642673075794,2.1828800733530005,2.0263316159286475,1.7172414400219032,1.1280802051706478,1.63579360223437,1.0675058017638739,1.6468054487016663,1.3078036577015197,1.0899254998037775,1.0017107193859516,0.9334339692892817,1.2885775827449,0.9974014917181717,0.9517263945299853,1.05107838693392,0.988133866272058,1.1047677461470455,1.0230006171181647,1.135061365905421,1.317711441626545,1.2354261686362915,1.2195511174007727,0.9902824086781687,1.5519999706231022,0.9365771475124367,0.9912276558616087,0.9317769839550935,0.9556183508977668,0.9392762304661272,1.0070215310549633,1.6652454474995522,0.984872700209141,1.0445910681562887,0.9880777097829285,0.9550626612762847,0.9198152482039109,0.9248348553612794,0.9535618361003714,0.9458561516072159,1.1803111434241778,1.0466419146149786,0.9963459953233782,0.9526995250847121,1.0101507676727366,0.9951178110155181,0.909486759040424,0.8709901151038436,0.9725998458294837,0.8532576643819786,0.8852215649715014,0.8901346888439456,0.9580997486273833,1.0418570901653232,1.0063019994548876,1.0954213135154907,1.0445178286740637,1.0829838207409674,1.1050749959968504,1.027697032199001,1.0568797820597813,1.0547263248167875,1.1077048004973784,1.0020259411775077,1.050149297856942,1.0471544986164136,1.025813857674002,1.0723651712017064,1.030459820242213,1.0190627842788595,1.0035283733706606,1.0492688091044549,1.0613414456083525,1.089481703239612,1.193936292641863,1.3159419582125804,1.1067380640229554,1.1405499583135201,1.1051872657733852,1.158052807957381,1.2045668545826533,1.1027209494589925,1.1453590185394618,1.0475325191681661,0.9881011049214271,1.210781403582403,1.1047741525642085,1.1327412527884815,1.1251251823496395,1.314407860986459,1.3108295607162161,1.2063580327042465,1.1447069822273608,1.0361369913192457,0.9978817093496917,0.9969671256433955,0.9820633990750198,0.9844872440226212,0.9888742610167055,0.97091773913059,0.9698596357333057,1.415780614925632,1.584096980097424,1.2555141047592402,0.9235914969394619,0.8593854563970282,0.9121775728020223,0.8758291012010435,1.032891449346552,1.0125301634381232,0.9919374522744817,1.0007981938480504,0.9859374584586668,1.0305699620024602,1.2058252709092996,1.0522585254489474,1.1690843325560647,1.2691393780656117,1.1928642297275898,1.072361674759734,1.06912780502606,1.0242506535060922,0.9827591215123936,0.9857711696449707,1.0367260902579027,0.9554189351428277,1.1333013448256508,0.9820836927714753,0.9966276877137599,1.0279804524552796,1.042676846887981,1.0530923812888489,1.0656295845333763,1.0808403593532916,1.200461404793307,1.2975533842432607,1.6521991876958957,2.1493195993476077,1.6038117516920378,1.5466253335881641,1.672327051417291,1.3652997167307763,1.2262227888241222,1.152125594181211,1.2848660253668622,1.2834857158220496,1.269294795850283,1.3448969291209119,1.27997881909899,1.3058417453380111,1.2614237885502557,1.246113184736861,1.3197492223534084,1.3320341200795016,1.2937316977861475,1.3739644372071562,1.3844232131397722,1.376863989324949,1.355535111380701,1.4033937304121102,1.45029795219704,1.407657388590845,1.418639974093388,1.5446084483170144,1.5163128260893575,1.6496605661613712,1.6175581623849355,1.5139887728497086,1.5324594179204962,1.6170585826286392,2.319590496318298,1.7561391699117808,1.8286326081549282,1.4562883172004548,1.4478074432755281,1.4831701874330139,1.4466500147357535,1.5110126654892484,1.3994699371545722,1.5051705418356516,1.3973771719610486,1.464186065012677,1.3984920342313485,1.46772573186261,1.514588442713971,1.4905987449729516,1.4244996673746315,1.340778523391285,1.2583750225097121,1.2948207719329259,1.3641299044212294,1.385483796313707,1.4432925442230744,1.3401496126996326,1.3600698202068067,1.334319619701829,1.4050184453144898,1.2668886135168924,1.3148779091166822,1.4071709797317842,1.4194954192382052,1.372120226376683,1.4122857920891114,1.4689670005724353,1.4875700859743455,1.4594640946885609,1.521062245136013,1.4550796616250907,1.4328379450948814,1.3728312628370702,1.392449770688963,1.4912218090935145,1.3929186494268033,1.373719360305658,1.45279696402987,1.4706814576439424,1.4117865754338101,1.4306124490728125,1.5620295157278403,1.4857607482067963,1.4755813994372204,1.554265081490303,1.7530336939458524,1.5710922337252495,1.547125499128842,1.65186755739715,1.618475860287547,2.0072762559156887,1.5773255446069303,1.467839440278577,1.3777954296061754,1.52601992153147,1.4863468011084418,1.5316819741724021,1.5390736332953614,1.4592267638810499,1.318375823101296,1.2894500444595323,1.25014250162484,1.250060317533317,1.0915802203128109,1.0990571239077613,1.2264273043540423,1.063942633195279,1.0821564310207457,1.069727058593387,1.1018741853287624,1.0572408746218265,1.058886508983593,1.1007970763095616,1.0737535472642243,1.20883408063106,2.1759164695890214],[1.1505544671209236,1.065841676333453,0.9039675753618288,0.8519053322237804,0.8555763784957932,0.7602706291531153,0.7011793301083756,0.6731880647841756,0.6055166746827729,0.5662293240306898,0.5318302454857269,0.5841716481460821,0.5365039301811515,0.5668737551362057,0.6204562293180419,0.5863174609276898,0.6146756208808006,0.6470821929176896,0.7645432076981088,0.6979901362516528,0.7552149826738592,0.815407773637148,0.9426386532145083,1.148875588318241,0.9295416017749798,0.8678047146563174,0.7677519827089153,0.6935358536726327,0.6160319144735922,0.6002284305873034,0.6674256231924052,0.6137908323884,0.7539924149878844,0.7124268860706207,0.636148108565912,0.5893416690387562,0.600453714292861,0.6406642368445975,0.6662062190933243,0.6415191731721865,0.9007458308584001,0.7722120144391021,0.7447312906534309,0.771939470910876,1.4635230357133404,1.7456648672253647,2.4458143923346007,0.9366792983872081,1.9724248275935,1.7413773672316342,1.4741002928696194,1.9636761330924386,2.2735966556905205,2.187568545959911,1.5675618380040441,0.9743077479089691,1.65471128395775,0.9262207793162017,1.423965305617229,1.0781625986352779,0.9245313877713771,0.7937841342258793,0.70493444535937,1.109138622610065,0.7875453945605734,0.708913523288069,0.8815552789776323,0.7526347169783096,0.9506323434644833,0.8023242176705362,0.9572625894616473,1.2534673564893917,1.123102435771621,1.0892285597208662,0.7471729067757046,1.371777616458579,0.6586491489238754,0.726428850745698,0.6492569247494275,0.6527152555327258,0.6354833049954858,0.7070494322616117,1.3756744766429863,0.6830174188950062,0.6907591505844789,0.6338584313150692,0.6346249217301201,0.6309409592858692,0.6175837176072859,0.7055483378841448,0.6857921495718861,0.9217824979099262,0.786622833149093,0.7525073180511815,0.6804345887813436,0.7706965660661194,0.775618472617954,0.6703544789404998,0.6336811662765248,0.8422310368901497,0.6370013990161472,0.6890544468440206,0.6060500480063746,0.6535941115172363,0.7272882605705366,0.696852989041098,0.9446871991701243,0.7239333931103362,0.7543177455970475,0.8404242708394518,0.6836845774409147,0.6940316149083863,0.6788635421731485,0.7494995957267115,0.6737520218522943,0.7496848895507863,0.7612628774049188,0.8007625802717699,0.8672520159826016,0.7640169094335955,0.766172362057558,0.7087248848141089,0.7830757657256066,0.7521215033135514,0.7509063872251919,0.8517418318636003,0.9647437060174756,0.7476164371044115,0.7637383056932769,0.7605164913503432,0.8026962460677879,0.857961374214799,0.7644281586230098,0.8345166278271171,0.7174955571627052,0.7003967917414922,0.9314953623090956,0.8219657025501571,0.8912482401702104,0.8501401959516376,1.1414944350567708,1.09747765000394,0.9629505679273912,0.8984791692564867,0.7286286797101243,0.6538433476942325,0.6644876338621802,0.6329682349553744,0.6190398764492169,0.6301906333637869,0.6349322870651058,0.6549768403216992,1.2050527651202958,1.5002471285250756,1.1484382274415568,0.7410969716271785,0.5677289807710781,0.6093524296512965,0.5480498314110243,0.6974122653914291,0.6334177831864078,0.6297291937395956,0.682186579406609,0.6473075659322736,0.7173778594889723,0.9236756030304851,0.7779024861670053,0.9599851797707042,1.071615612930771,0.9956381606983178,0.7968707952884558,0.7656955594111814,0.6924851318710218,0.6427761666949974,0.6225722561042768,0.688347721362312,0.6243085072752981,0.8752518564168816,0.6493202182795259,0.658797054674901,0.6834394224254382,0.697052340318043,0.7113369021024104,0.7389204803273614,0.7541560686675691,0.8709438560164654,1.0172133303540125,1.3591081559261087,1.9918651259141902,1.3723694508824555,1.3646599158394541,1.541815982718277,1.179626948246932,1.0121423501762261,0.8358630194267584,0.9230563359445358,0.9330337497378638,0.8846137700142658,0.9586426043682034,0.9130902176543279,0.928796654549812,0.9068920861423843,0.8811421699222844,0.955662895216023,0.9773669560958507,0.9369055182062264,0.9995787227187639,1.0209170314627385,1.025496330788019,0.9881749176090396,1.035009379381459,1.0748494340479828,1.0350433549285385,1.0368215455448027,1.2015863483845202,1.178502833087281,1.3159444417176243,1.310301984804282,1.1824088389571301,1.1917919753148374,1.3129097228101287,2.182796433183503,1.6778871183639528,1.6856497413801619,1.1082360317676978,1.0915023124064942,1.1292748513816715,1.0996131397256792,1.1751512447093924,1.023314198912031,1.1975846232398057,1.047684977678535,1.1615552506820543,1.0692429911509729,1.15614888865091,1.1925145676266917,1.1551318342935557,1.0941471267248482,0.9656327311151752,0.8953452814582707,0.9265196137483864,1.044418819027379,1.0873566950367488,1.221569144700935,1.0490029644974097,1.0338720932075602,1.058230122597169,1.181288528219104,0.9872821793823693,0.9820855056915226,1.138785734632972,1.1601356107274081,1.0449459014797362,1.1218015679283295,1.2220241952584872,1.1739223465401907,1.1273601645739983,1.210368599032776,1.127194354879991,1.1106089147736007,1.053783269314493,1.0670038964068933,1.1494299848441591,1.0357823156970134,1.0283735433246948,1.0925724452827195,1.1122643038537365,1.0522338766976846,1.0757614736966101,1.2127347853565094,1.1553769478689537,1.1451665278033856,1.2410214394261765,1.486513573316212,1.300290615815381,1.277229471041049,1.3985447597700207,1.4286596864183005,1.7727113566468882,1.3065658349056617,1.128804648286097,1.0309118777951856,1.2514165886765187,1.209417126163721,1.264544544179276,1.262791162483395,1.1122845235174175,0.9644207429684623,0.9151266871609661,0.8815373476241324,0.8747975186163987,0.7391279412335167,0.7766058379852327,0.94057397311657,0.7074895284161065,0.7442421696078575,0.7752305670789622,0.7550688550993314,0.6868264464143727,0.767361131482706,0.9164469808694341,0.8924210747570404,1.1589653682248304,2.0029478176586757],[0.8234084862037278,0.7202044557949857,0.5835764553581214,0.5078889811362813,0.5569434493772126,0.5546814431476248,0.49712061589510526,0.5423620770435551,0.493598904357269,0.45851026021830976,0.488904806654759,0.5972583773555278,0.470430673564142,0.4847508255503247,0.6213753773966312,0.5840443791684541,0.5404745435403946,0.5882108057588363,0.641846988744392,0.6054102324043636,0.6719061570345117,0.7245791500809462,0.7930045395129702,0.9092756663356336,0.7412807310715506,0.6746848593917516,0.5788689278768753,0.5262150218476034,0.5274172213970619,0.5630984672395691,0.6797766738397663,0.6506791282878525,0.7936721496232809,0.7504102108728633,0.663948854954601,0.5878864608263076,0.6007459930217303,0.5554018009114648,0.5267903388597153,0.5188877345270327,0.7174200257824263,0.640484178669317,0.6185698616436237,0.6264141484429123,1.4225686315911386,1.749876857961051,2.3178807713030283,0.8664956387910023,2.1170708557504736,1.8806550812760092,1.5957355965273787,2.1405370742643295,2.428162415745136,2.4189056270305334,1.6250848107210552,1.0464579519809627,1.7773287167034115,1.0151537800738646,1.382408581511237,1.0647425105294965,0.9373537974990663,0.799476846667443,0.7238464222690008,1.0905920784152225,0.7359009784604834,0.6838843279630016,0.8690592000356423,0.7417457326801339,0.8943358988561805,0.7872188387765175,0.9359106746390238,1.2843664198415476,1.1600107888567797,1.0580368885574678,0.7537012697979055,1.3722645949194006,0.6657719853359647,0.756179187390931,0.668723133305422,0.6416574144703812,0.6741535177524796,0.6850379199909664,1.341962031890891,0.6695712401117861,0.6210908948190504,0.5814596533668074,0.5936716557238365,0.6591832659715626,0.6136703612079607,0.7413831852287692,0.7185496023840684,0.9445744776850953,0.8230782880904538,0.78969026394624,0.7173408540162259,0.8091697339409006,0.8103527036618208,0.718114851363589,0.6745505676233547,0.885712640135074,0.6914927828560692,0.7264149635972814,0.6135947275169941,0.6280567294278266,0.651916888034385,0.6245402202316026,0.8791684307039161,0.6049079158137941,0.6224355482055773,0.732837588779507,0.5333654851697787,0.5189854249018807,0.5073008956194871,0.5116512333117422,0.4987371952519505,0.5178509916649344,0.5535613253804604,0.6217539644806681,0.7178283527280245,0.66542313150556,0.6068539397738946,0.5433899060649119,0.5409888323067434,0.4798946697854925,0.4875785184249877,0.5662908987911193,0.7209212692119205,0.5084270989100704,0.5381368699059406,0.5807408958107846,0.5513940308679346,0.6268878075310251,0.5293156037859857,0.6833800426039187,0.5089980300975931,0.5370496028382719,0.7702402712797688,0.5555531598154093,0.643037197670282,0.5958910950824688,0.8852998860607872,0.8592347822584404,0.7167510897419436,0.6261677340977968,0.5002086280586022,0.5014508289021219,0.4780742410905067,0.5011374523548952,0.5011884653425908,0.5335652639100928,0.5717186782767655,0.6198785458968983,1.1292226791529092,1.4858387607939667,1.1830780081056456,0.7577511228552994,0.5950220781417339,0.6016975531822961,0.5359982228307361,0.6222225863334465,0.4695545953716954,0.5232572665527172,0.48862837388725466,0.49168845288564345,0.5152812800528367,0.6678603488472108,0.5742194772650568,0.7870108001929371,0.9114730165208346,0.8578118101438439,0.5951287444930691,0.5303023677949378,0.49421616335558427,0.48780927912233724,0.5038025328528494,0.6067604910200111,0.5841116313762067,0.857127849753568,0.5710850784730345,0.5821969994487498,0.5360077515354242,0.5684498692057695,0.5463274055326084,0.5762899636199756,0.5677828893391565,0.6986593373495363,0.8517539845177224,1.1766744949959937,1.8318633073841823,1.2484315120542124,1.26406327828796,1.473914472102583,1.0690536166500038,0.8783106961197373,0.5988859892850065,0.6228904145223232,0.6820119103589047,0.6233033226049334,0.6765871482469114,0.6711837985962081,0.6994337007854183,0.7089004986072314,0.6584639013906517,0.696903926236208,0.7554178615230283,0.7256551365270654,0.732155365180515,0.7726274135693768,0.8154739925710787,0.7477763612572786,0.7881806100608082,0.8419147527498986,0.8177028978567442,0.8238920111213449,0.9533807828210027,0.9411792580505008,1.0777178665936584,1.0846244335555564,0.9296900483847043,0.9616176909018799,1.0687192548638758,2.0689292124658096,1.516044215829207,1.649338823064312,0.9283619696749215,0.916698950964564,0.9581469638041284,0.9212535201370589,0.9811465509167405,0.8166792000773471,1.0102504282999023,0.8565451813225745,1.0275285644614776,0.8718642275034584,0.9720026715065428,0.9664853213721137,0.8752184072749551,0.8686633105412686,0.7013862201350093,0.6961657446196878,0.728084759262849,0.8705354209744711,0.9551379657209846,1.1391773907680798,0.9636749219096281,0.8774017602414178,0.9419489468636686,1.0935796108706355,0.8886122612449603,0.835880669807073,1.0335422437907495,1.0566702111185893,0.886502530482655,0.9837632602757221,1.096232430463278,1.024672909395325,0.9579746941811894,1.048515834332748,0.9491227230726176,0.9459671704441016,0.8889884703793202,0.8943331373260905,0.9539085268264769,0.8178378873763268,0.824814104925434,0.8652161827887797,0.8744776512144156,0.7945157897466831,0.8344962659499631,0.9756240658251132,0.8872112349605504,0.8553581217621733,0.9419720103275293,1.2242208302729873,1.0458809108472238,1.0141146777656085,1.1533417662151293,1.1996547477953607,1.562023740518062,1.0517754351523212,0.8674686760659648,0.7544498335900721,0.9848564689090513,0.9188893346130025,0.9727451131412197,0.9502027363545887,0.8265042259334718,0.6768122274131625,0.6458471147697997,0.609381167869707,0.6297444434058853,0.573533005412618,0.6361135471038618,0.8381602757808901,0.5347177128176644,0.5861487915526711,0.653609539130431,0.5983404014516369,0.5011781107409173,0.638713717032289,0.85774046512388,0.9358569436564353,1.2088379804950775,2.0396842490104863],[1.0683506264566762,0.9448515315504104,0.7822315222988571,0.7422492332553188,0.7580038987992248,0.7268726478658559,0.6698533409021787,0.6704394740081273,0.6099563204286462,0.5460863054490609,0.541639141813501,0.5966200905752292,0.5396485289919392,0.5376971432563055,0.625828353286201,0.6026200847096279,0.6023276789207287,0.6181918378947148,0.6978191215271524,0.644819905955871,0.705601421279086,0.7566019953862222,0.870182712922046,1.0388600382256807,0.8205260071395704,0.7659970829031174,0.6721921450479663,0.625524542495008,0.5796642539812483,0.5802469572257627,0.6850721399387917,0.6335738467786065,0.7674817724861466,0.7255718451247236,0.6487648751231269,0.5941105919266972,0.5899499443148378,0.6025699592615001,0.6112012104023024,0.5978281654126615,0.81640821291242,0.6945336423495179,0.6752212485445127,0.690438991770782,1.4730186753023842,1.7377273286441908,2.4580436664401435,0.8959017029978287,2.0155363554242958,1.6797464037353549,1.4841653841805225,1.9442296163917938,2.262321455020268,2.1869176204153766,1.5739804694527582,0.9508893565487485,1.624550904458552,0.9566060783409099,1.4147727563968764,0.9987057528463528,0.9144616669557747,0.7712906015884987,0.71531071690428,1.1151447172670088,0.7512148753058175,0.6780458346421797,0.8605835369132457,0.7181138217814724,0.9094729900398414,0.7723248955393611,0.9452444810573372,1.2623752465317175,1.1433009447991183,1.1056763382265966,0.7579194888473044,1.4023681009012379,0.6684673108281947,0.7412848117750308,0.6597746056804402,0.6584545106746647,0.6562525566918467,0.705854712703258,1.3630273047858723,0.7120080745644436,0.6749747959211126,0.6134075379759903,0.6139142075970554,0.6372623831089496,0.6209698941426389,0.7003887691211219,0.6912154341532906,0.9360701777416095,0.7854168850196558,0.7563635526922226,0.6959771796720231,0.776683741617573,0.7990536164024269,0.6871694723941912,0.6446850229929665,0.8396775199739087,0.6527172339919831,0.6946575785448663,0.6217037368387888,0.6726004937428692,0.7103771478877621,0.6659311964862472,0.8575176919064208,0.67396576841883,0.7143973623825964,0.7977029758274905,0.6385821276081175,0.6493558983665016,0.6528211030483431,0.661373611677759,0.6144395493124756,0.6506011581722794,0.6658545293259329,0.691670081452029,0.7882143512520888,0.7043722815126814,0.6745030105366135,0.6289502121837688,0.6676124551975812,0.630211159350675,0.651714501871904,0.7256336217039263,0.8916957001698602,0.6666949948420202,0.6913224792378011,0.6897632973481075,0.7030878544897005,0.7619186743285195,0.6479486007392322,0.768093973221719,0.6122125129193592,0.591982350454746,0.818845854639608,0.658723581492747,0.7734961166428351,0.7209258051393103,0.9967593853897657,0.9555839291881904,0.8255270608643099,0.7776299914844912,0.6328625319188486,0.6033050298277237,0.5944279682008692,0.5848755021853778,0.6026387975244749,0.6336886461706621,0.644992997255668,0.6966949567478501,1.216171467819943,1.5174723423854297,1.1604789829026168,0.7561768587032376,0.59986336651467,0.623242934261764,0.5599192585582601,0.6885265362799983,0.5962372585715817,0.5941099891635072,0.5818404615136282,0.5685119018043383,0.6154399508819507,0.7681102800458907,0.6566929907752329,0.8260096972142691,0.9160684792616558,0.8771163254214696,0.6584526888193438,0.6249689064225217,0.593625126935949,0.5596340086799065,0.5844209094990542,0.6686858162222747,0.6250429128286303,0.8607812324918481,0.6293414962848083,0.6476912806112732,0.6152696417081618,0.6384820299359888,0.6377383638681653,0.6360625740922188,0.6465189007881471,0.7922951904372687,0.9333091533908481,1.2763482407232682,1.8446048289902335,1.282019209424849,1.2995752087290562,1.5098040196431128,1.1038877710555164,0.9044103148362137,0.6985305604323792,0.8027174931550631,0.8733048204289247,0.7782743882109217,0.8547490463439746,0.8372896910113761,0.8568864570683449,0.8438696219996284,0.812587248367205,0.8559657707101774,0.9083780945150939,0.884483781753128,0.9129358992629703,0.9253609192561291,0.9474865571965715,0.9141823962113236,0.9496021939126643,0.9854225690468124,0.9671474599887754,0.9738178897979552,1.071876788844669,1.071349252737652,1.1942257420683053,1.198629306207772,1.05102719281721,1.0765737133363436,1.177623000213211,2.222532233168335,1.4783076542522335,1.5914364160309877,1.0099870426970834,1.0283123315914389,1.100487539260481,1.0679289373830787,1.0859949902554253,0.94726192400336,1.1167227494910925,0.9900529554993677,1.1178656569967995,0.9653938187632162,1.05805809332881,1.0347276969652934,1.0093133611526177,0.9852303204518388,0.8516741342390515,0.8172047701001489,0.8914013326848893,1.0208965752542292,1.088183811748085,1.1439106805195,1.0591625440616486,1.0163451373012033,1.0128452081478627,1.1455495817115975,0.9799033106105478,0.9552301593277119,1.1148128224524303,1.1414095364138206,1.0137398353033196,1.0614737104306717,1.1657580308454962,1.1227915090102012,1.053908419505328,1.1251277765668677,1.0395012060722668,1.0294744193196965,0.9789304150882274,0.9811531851482793,1.05657838158502,0.9462940492430442,0.9437301824928336,0.9785065256572224,0.9969687691367956,0.9360936332671583,0.9516584223895854,1.113224167485018,1.0336212579799209,0.9814303186225904,1.0684812466859896,1.2866807653052807,1.1225660376505953,1.1062093002161064,1.2350870626138173,1.2528645418900999,1.6520623744545317,1.1588553629074547,1.0121296193617242,0.9205182430459623,1.088658291381926,1.0294177466574084,1.0773783333902691,1.0839960342317294,0.9741706354500745,0.8442798941508213,0.830639606941928,0.7978183894538865,0.8129487357865616,0.7057837053911228,0.7556539572895066,0.9652545327578654,0.6874476125846534,0.7177394186622896,0.7547044042473029,0.7531096426861265,0.6592495031981901,0.6896061382643133,0.8768292897431831,0.944813936465351,1.216303025603256,2.2041100875675363],[0.9785891009907987,0.8962387817318238,0.7459752633253962,0.779498718704813,0.7868919029929982,0.7533659137449944,0.7318086623100616,0.7104007761616451,0.71483402815198,0.7125758903914512,0.7281803350166824,0.7572849643121504,0.7168295001395555,0.7585882976418572,0.8363179468698589,0.8035432291696556,0.8207829295808343,0.8418178269133301,0.9038475356073193,0.85873768820718,0.9246801543645968,0.9454982263713941,1.0979515152028148,1.2843411212093574,1.0114567378613033,0.9780601409620513,0.8707871170855994,0.8300616118795435,0.7874918646699403,0.7768464050836006,0.9006299523110741,0.8447578303838579,0.9738754563783952,0.9410346564678976,0.8710991830740233,0.8104494517436228,0.7764448509265407,0.8011031680313889,0.7952329360923299,0.7734222855696739,0.9749905962518055,0.8692487238344859,0.8594536753860224,0.8781131800563045,1.6659302583244255,1.8944179273066106,2.687268255538922,1.078888496882589,2.0529826680342484,1.6850031859361607,1.5975284132849297,1.9687008310677083,2.3558814070414713,2.2810512843135036,1.6897470958790586,1.110354821229814,1.733606891401122,1.1814005683199906,1.4831113581624267,1.1082631234292113,1.1064164740414757,0.9748082551470859,0.9384985834754924,1.3215108074173205,0.9577355532366832,0.887591293564341,1.0468147175651148,0.9074921108179321,1.0655179154219578,0.9474387688657742,1.080260073435507,1.3264634724629174,1.2787070467987176,1.2813161402735889,0.9630289179530429,1.5454870633784596,0.8975389723295524,0.9609411445723609,0.8792832947850676,0.8747109297625416,0.8602903672552629,0.8727395641111176,1.3906318144404004,0.8713193127473973,0.8290905691640248,0.7809555608743338,0.8168955007191846,0.8342105494459238,0.8361184565435781,0.9013314678500723,0.9023696540583348,1.1320521592861712,1.0004847250520934,0.9794312460741303,0.9129095137603842,0.9865216392991446,1.0118983539098059,0.9009095044875134,0.8389217434287709,1.0105785160798721,0.8482023774924428,0.8418696589620533,0.7802326287516079,0.7418835862607135,0.7522910882171919,0.7202041527469447,0.8743331246492608,0.6931933110131658,0.7227613999706444,0.7934678038963192,0.655879880755061,0.7125911169562649,0.7341659580157924,0.7664092735079648,0.776442714358868,0.8215463792963823,0.8578215972781283,0.9260201456127181,1.0084175851390524,0.8900453720958144,0.8877615189982538,0.8524262056645671,0.8957822887276666,0.8133595746424327,0.7914065789802032,0.8292434146304352,0.9016792920823722,0.7284001548941514,0.7177954922484877,0.7431386464918401,0.733730606792053,0.761982177669641,0.7163673150140536,0.8293193021916607,0.7201656299176296,0.7330486044248654,0.9177469216673398,0.7953120786965093,0.9231997341920375,0.8759898880606434,1.1584936472495446,1.1475189868434192,1.0110284933587366,0.9488543721868302,0.8157893334449622,0.7802896665149262,0.7650870188492837,0.7369011740743449,0.7199280142908582,0.745476071928791,0.7011472146065202,0.7429503813381197,1.1463680653451724,1.52243220307369,1.2610286906716184,0.8733917046788642,0.7502604305178019,0.7252824595441032,0.7175187112564118,0.7764183293927169,0.6992402358888032,0.7508784266439105,0.7531924122320176,0.750116407014622,0.7685729749835682,0.913574392838033,0.8041424038914617,0.9664959744216647,1.0426849385985926,1.0065493639028396,0.7972598478970683,0.7670807688968139,0.715804922434705,0.6987158431555661,0.7128322999430972,0.7494975796951704,0.7459090582253005,0.9040072447084011,0.7581425725336217,0.7280856837303755,0.7284830639637877,0.719386768001623,0.7153778522428126,0.7220256555487762,0.7483209776705947,0.8685551718764042,1.0154501008323567,1.3514418703781226,1.8674911756169725,1.3645468820066924,1.395750303080956,1.6110763702876192,1.1970208293682603,0.9917081973732417,0.7734982688210611,0.8154172062008488,0.8776637546196556,0.7648502679838115,0.8115056760517748,0.7758796334052283,0.7662033553503337,0.7526813037409761,0.7351061519634107,0.7738156263027839,0.7923251164996473,0.7785400664423602,0.8350525085257748,0.8194690348502048,0.8178033929289861,0.7965123116633888,0.8355018884638291,0.8512076359922616,0.8343931028186257,0.8656510350360397,0.9667162863443036,0.9805184180559341,1.0769160431519473,1.115691324960123,0.9548279443943813,0.9566381580014623,1.0658019379440618,2.0806536612101594,1.4511376809832888,1.6080574221305726,0.9007385188309399,0.9082064803173633,0.9812847443002989,0.923620154588362,0.9823780398470103,0.8325233194426375,1.0054095070753761,0.8872849641142255,1.057207869948822,0.896136596948156,1.0004929839124659,1.0116593166570034,0.9520096416397097,0.9717323729449298,0.7915630857899743,0.7790765707955932,0.8022769275192086,0.9042164844835759,0.9887519050910032,1.0882599083090998,1.008413707528989,0.9252085076265868,0.9299857096198619,1.096091114137329,0.9145414755941278,0.8477994717253717,1.0224004459695972,1.0473748167535077,0.8915999532404668,0.9570509010726241,1.0701151781968548,0.9967586763046697,0.925115764157295,1.001377135825389,0.9123474969399967,0.9078729890963868,0.8626485052623063,0.8620338951948575,0.925316079715996,0.8124623282337964,0.8249785198742429,0.8543491867490767,0.8748530725258029,0.8191995310588202,0.8423474008003164,1.003159814501898,0.936474455389994,0.9050674507684902,0.9840032831295933,1.2417139873240215,1.0826315245358222,1.0689773863010477,1.213966240012413,1.2502388277258745,1.6074454013611068,1.1281182376014747,0.9448398572741997,0.8576857605395403,1.0703946162719595,1.0246036926648865,1.0830799529808512,1.0809247971005804,0.9324353464573583,0.8246712944998438,0.8011162762065966,0.7970736784375833,0.7653878109191786,0.6553387825755445,0.6861131181816387,0.8983946030669738,0.65149563001168,0.6652682684175434,0.6868018006754418,0.708430048053328,0.6245939672538902,0.6526411865827052,0.8319261224023138,1.0206785350396457,1.3684982222290272,2.3556422310255996],[0.97635990938672,0.9300354157774048,0.919740607818053,0.8133828404421378,0.8066710930756515,0.8091436036570342,0.739502462079376,0.7822503780968757,0.6882712879764956,0.6289791432549761,0.6268977313948414,0.7620234492599897,0.637986504706403,0.5975271798944893,0.7245558581945809,0.7022663895951785,0.6642026720241955,0.7010127534571191,0.7263994695276025,0.6938378645008701,0.7510665269039862,0.7688201890147834,0.8807866960446571,1.0035394382249445,0.8066640936198407,0.7521480034994964,0.6660764639363235,0.6448321184786253,0.6709134016803805,0.7093392919086895,0.784372275370891,0.8185372811604494,0.9158084331837966,0.8661991870644521,0.8063298308806736,0.7303347861697106,0.7653844200374128,0.6896246615734736,0.666657363501988,0.6982903153022147,0.7483845436599859,0.7269409648944775,0.7173878594899146,0.7369321713426951,1.5383900480414943,1.8571296459086284,2.4358383092889064,1.022574212551394,2.1928423238914094,1.944118016245326,1.771253279069526,2.2897044994341433,2.545666234692854,2.5547185699774664,1.7590051406328262,1.182372877290519,1.939988348802423,1.208945413037739,1.351511625458708,1.1874306012637788,1.0844765117871786,0.9248348046412689,0.8504420049373874,1.1722447727321863,0.8501782706190685,0.7999067986526287,0.9510963026748771,0.8234629868179896,0.9604561418677423,0.8580563639411909,1.0346626146813975,1.346174829429704,1.2158643437164842,1.1611297617408767,0.8286858968392542,1.430765977045444,0.7792403578130408,0.8692079957958835,0.8004034579323704,0.7763442938303339,0.8259837489897603,0.8084718986653028,1.4031955460628547,0.8784063603138583,0.7991165302761006,0.7556311575221702,0.7488696479580913,0.8083713007282252,0.7491727373797262,0.8446762638342357,0.8195680827784859,1.0140378143057593,0.9030857006746649,0.8837485783891885,0.8130916010978504,0.8783812935163168,0.8735331843113173,0.8473042920682976,0.8564684118321891,1.1133623252423765,0.9173172485915488,1.0036905761928938,0.8780715960283173,0.9315401889815598,0.9235258594171328,0.9372049599786786,1.2010391588994265,0.9516182240257912,0.9516796108434931,1.0123267042620598,0.8654179181469688,0.7843965249013649,0.7216763987876388,0.6786505706024228,0.6433576651461921,0.6554110522361918,0.6640705249598219,0.6992885164969858,0.7749282692710382,0.7475896268728377,0.6886710500081608,0.6325451081327231,0.650633493260106,0.6383808618845913,0.6531963892775767,0.7496097576032299,0.9002371350592047,0.7611599589742186,0.8261261439081098,0.8523927057973064,0.8334106404830004,0.8880734546526124,0.8262624049058628,0.9171737056633693,0.8063431561314838,0.8391544211631551,0.964054712076244,0.7511192565841759,0.7713622084806301,0.6922480003848162,0.8947877353577497,0.8837923254130083,0.8048716720153108,0.7234577173728097,0.6172916340651993,0.6175292535823551,0.61566869973067,0.6678339598291265,0.7376732382921987,0.7724320429852256,0.8169793631990286,0.8460543228458339,1.1782023851605579,1.5683615386447354,1.3703412359268636,1.000743535404258,0.8387436683808256,0.8773344293301452,0.7958855439389076,0.8402480452633817,0.7190956495440839,0.6922090162820597,0.6608165995541015,0.6642515710189751,0.7071028281534172,0.7634750927394192,0.8024995286165375,0.968101451487893,1.111761858884873,1.0523837942048455,0.8399642810372421,0.7239965262040604,0.7340908579982625,0.7566354371022657,0.7302173755451012,0.8144315004932786,0.7926923091326801,1.001479348407504,0.7743402480199439,0.8226292101795071,0.7640355357885941,0.8198930103546953,0.8144780117873237,0.8516523644686234,0.8289379002457495,0.8740871557207074,0.991327975459605,1.3133352212960303,1.8098382688353885,1.2452630105344853,1.3996924058616493,1.6890903654065632,1.2160084696902058,1.0437936071196476,0.8428931930013529,0.8462227956726184,0.8605221728676808,0.880409412575196,0.9062318191041768,0.9386023404833629,0.9793048766059363,1.0147719859732776,0.9557466857257446,0.9903069341191274,1.0361331097363933,1.0147485439394714,1.0006986847641548,1.0627321936572305,1.1188783464353833,1.0465989480689781,1.0886013388007176,1.1436402795973541,1.1181315526572804,1.1206234497255871,1.2227638771407001,1.1815021586493564,1.3350420477981542,1.3041948628305107,1.1853563544258303,1.2227604541778876,1.2400245458234591,2.122054270005754,1.7102026915679616,1.9671963242326729,1.2674757599961926,1.2445705456491314,1.2001886396027621,1.1748487220348425,1.2664260592529166,1.1282041124602367,1.2400495391347195,1.1710448525608375,1.3224784052218135,1.1509431170193154,1.2211062421005638,1.255180364308322,1.110530117025799,1.1130900322760011,0.9867546176584653,0.9830885586177738,1.002001224858156,1.1191876669735292,1.1781581028949855,1.384066776226751,1.2343665172595248,1.1085741603838404,1.2287255166768933,1.341289683081181,1.168189514132281,1.1223924784600499,1.3029914669384668,1.3035914618603093,1.1661107497127843,1.2932776158464996,1.3939227854928016,1.290123042469468,1.2484571048469448,1.3282456035201704,1.2668587098093609,1.261639232588761,1.209512921150807,1.2149481268986135,1.2534547206332993,1.1388635467729389,1.166825496422565,1.1931840672216332,1.1877568052996854,1.1080489802117004,1.1675334836265774,1.296100583500289,1.1729896960787343,1.1240263315292343,1.2055412344373515,1.4476679416478717,1.3049542509944896,1.2507857634137272,1.3534331126738837,1.4172635854837559,1.740961044402498,1.2783071463044742,1.1173063359150912,1.0320342743659459,1.2228893015587559,1.1327642413856465,1.192808072162522,1.1299146622386247,1.0584923053111581,0.9470717668360543,0.9019035625204445,0.8644262534153693,0.9026366896610373,0.9318001461580185,1.0093960757073184,1.1018263930533718,0.8775984317059285,1.003667403589165,1.0131807967784663,0.8488536653250923,0.9129545421168834,1.0887676942686864,1.1204061962544547,1.3428101084846735,1.5885771248649465,2.332527238426762],[0.7454052570494059,0.6885381804820458,0.6847077506475732,0.6650192865648126,0.6345793227158711,0.652342512641995,0.5954346933400382,0.6344840994041394,0.5806635440045396,0.5599108914091018,0.5972639220294357,0.6999016685009705,0.6061085014103563,0.5977088590629418,0.7565255434157528,0.7115272725194238,0.6626737746968038,0.734581210932505,0.7587010242133729,0.7433768705784256,0.8225914433418837,0.8439511536193745,0.9424253244611726,1.0272318783917693,0.813507005858277,0.7601144218486693,0.6803296635073856,0.6491981904979793,0.6876157387972898,0.7137992842825269,0.8007468708569834,0.7904177705645234,0.9196068315675852,0.8693912516351666,0.7993654836205554,0.7490740487551173,0.7475280214543206,0.6984603424682426,0.6679172009098687,0.6938881760715497,0.7626751163907192,0.7636954037954663,0.7648172305688818,0.7411116436997411,1.5970969304165783,1.9015293487647629,2.446962279665377,1.056510931929627,2.1969654400164282,1.9243516793252928,1.8274167623064719,2.2933147435673398,2.603502029357376,2.6332107469962107,1.8096575091144487,1.2020015326282687,1.9931301691321477,1.289388322826662,1.333868733192453,1.1997009279720972,1.1454370324172305,0.9712828718514824,0.900280965753224,1.2524531271710992,0.9131765744409867,0.8541590359510174,1.0317427729919555,0.908025359420002,1.0273364107465512,0.940542023119642,1.1056899224393986,1.4345943847527132,1.3021995402141293,1.251922044587592,0.8936003223663919,1.4830663695763795,0.844592347656962,0.8908644344974822,0.8257767291965844,0.8092913860567399,0.8312017566693498,0.844132151899448,1.3570616522627375,0.8822288261586587,0.7739174632575574,0.7358988640371189,0.7476539594757656,0.8117763516504796,0.7776579098655402,0.8503050037394085,0.8712635455574155,1.0276417791549468,0.9148982405445972,0.890233376762933,0.8245756449806477,0.9039999330523504,0.9078559202194308,0.8423017856467017,0.8270166349974791,1.0248887338635235,0.8528260738591821,0.8982153519676799,0.807529692710032,0.8050957139213277,0.8048794783712394,0.7724001588935175,0.9906503089431034,0.7647202996843624,0.7705241624405553,0.8176527976902923,0.68366288354963,0.6278166569539164,0.600556530573612,0.5661582538827683,0.592827542531205,0.5812923390475472,0.6312104872578834,0.6825348454803071,0.7489649506344263,0.7602513567467819,0.6728620392306235,0.5979981504894754,0.5922086995812111,0.5615204248574677,0.539972278129976,0.5982982972912234,0.7285301512793162,0.6153223795784312,0.6341945600859951,0.6768369461116586,0.6441426008904275,0.6841051797285198,0.6506383305592778,0.7734996646397181,0.6599412030346931,0.6992341554826442,0.8817759348752346,0.6154585145809481,0.6551852349769467,0.6142051902476203,0.8323507669783097,0.8654343690147486,0.7800866535054397,0.666647138260603,0.600946216951322,0.6083841190600063,0.5854567271865906,0.626908003723319,0.6444237856729823,0.6592110486796894,0.685677324095127,0.7359152685748485,1.0913837085641467,1.4775642335551449,1.2512595367998962,0.8904532364908571,0.7701773210246137,0.7592344174481707,0.7322229141470007,0.7428478555052859,0.6541971953261544,0.6702106537486516,0.6343798543272112,0.6439965872666724,0.6678050529996877,0.7212965426699444,0.7105508753481657,0.8720024285140368,0.9857073637794607,0.9641712356755051,0.7209091437471504,0.6294934156212544,0.6570927394726702,0.686658908391787,0.6732367915543203,0.7334176645423568,0.7405292596209143,0.9402713747169809,0.7228765578638946,0.7560852541050431,0.6934952397606948,0.7056932945595644,0.6910819899080987,0.7085649990882531,0.7003091304927889,0.8039227745652705,0.9560189398142129,1.2974687626323567,1.7548742550149117,1.1822628345004307,1.3283426891283654,1.6853007845594943,1.1642787990240258,0.9614792160285751,0.7021808255794952,0.6810366786935538,0.7506719543356387,0.6806149500878439,0.693633415173201,0.7182640984759795,0.7538563359680365,0.7846353965394626,0.7207468386129205,0.7451439453203553,0.7965805870231377,0.7797487287768518,0.7860763827488716,0.8219590572842282,0.861696377504945,0.8091462517583764,0.8626947932124349,0.9216698256191168,0.886563971134715,0.9196246746875255,1.009715921620977,0.9810530367855822,1.0908550671560262,1.0948695110728117,0.9499388603430003,0.9870274192019911,1.012409210711487,2.087390545200109,1.416145234732757,1.759087864718944,1.0167459212407677,0.999253939449454,0.9992030937657354,0.9782966203360456,1.000022700260915,0.8518049058113009,0.989710372419061,0.9069497203724971,1.1040398959222293,0.9191969013267636,1.070863301876507,0.9986864123761954,0.9175485324609277,0.9295471365887644,0.7649656806756802,0.7977926326229022,0.7962819215933824,0.901506703799383,0.9784631023023658,1.207938942634748,1.0564251559939686,0.9317230283260137,1.022762676796994,1.1410658949007544,0.9790960891706,0.9196614483942611,1.106986792406902,1.1087399054377134,0.9484830375808638,1.0574931315754292,1.1573347584042324,1.0572654991831447,1.013609830292456,1.0911139532571097,1.0171265483470073,1.0104167557876094,0.9449785089451996,0.9544445399720456,0.9847785485922605,0.8820793217689447,0.9078949593178004,0.9271467013478719,0.9303007701738812,0.8442036838755644,0.9019177159192021,1.0379201523857098,0.9402840023454518,0.8880328518892782,0.9673932575160895,1.2219267506400722,1.066229102996296,1.0224935202535474,1.1508457713422757,1.1940405057769863,1.53328853681555,1.066217579387474,0.9040948519578131,0.8164436099145227,1.0406418100646684,0.9334870635038326,0.9788160246757943,0.9223158479000259,0.851961526036563,0.7071199453899023,0.6887569372338721,0.6566645429413727,0.6843832884934201,0.7059549956726919,0.7748062570404722,0.9265730474779111,0.6718424933979649,0.8094705118241543,0.787800394514699,0.6541238427413116,0.726519795603843,0.865798147278355,0.935566152232693,1.2090800286348695,1.5063261413067648,2.3599857124728967],[0.6765435895679615,0.5989585309312322,0.6024093686287315,0.5481497931410424,0.547746587246015,0.5716678187855253,0.5269317616723198,0.598940707523317,0.5384202001910966,0.5264351938709699,0.5772042521509476,0.7139892116297576,0.5938777378691127,0.5525988983761513,0.741408725393322,0.7128400739411499,0.6536602685746344,0.724240830630437,0.766094978388719,0.7393942819870448,0.8228417696696787,0.8294767061077074,0.9538804422722035,1.0499081577899372,0.8134250611906199,0.7671465428641029,0.6568184959145447,0.6383371097004774,0.6700702645639854,0.70381209907626,0.8136788824088143,0.8213734765532489,0.9545505353888399,0.9181022894588121,0.8424052709587619,0.7651328969731439,0.7741171630675695,0.6912313628471337,0.6419083674114325,0.6720095941031731,0.7502480649140342,0.7386503573093169,0.743345282724676,0.7076907075732691,1.6387648813085303,1.9197856593883589,2.553815353739789,1.0695900424197426,2.2367249621927994,1.8332138689643598,1.841795604323797,2.1726905768846323,2.5586514048564717,2.583803174969259,1.8366414605484191,1.2119809717675747,1.9388120815606391,1.3793430077351108,1.3381396035496607,1.1224624520570472,1.134720365115871,1.0080765816409398,0.9334254006883431,1.2848750647873215,0.9190736380891449,0.849491760838157,1.0415986418427579,0.8999553155514061,1.010257001337631,0.9077806020707971,1.1171655369265234,1.4948957721244338,1.3071397490151289,1.2896796806443054,0.9048491795498884,1.494359193112933,0.8658131608960189,0.9253929867613918,0.862477238315091,0.8587839179349971,0.879264189807365,0.829415165937555,1.4049486961012567,0.9211777029617956,0.7908639958556437,0.739413209560751,0.7553468694957091,0.8399357971398312,0.7964940207219778,0.9017994767402319,0.8786612488257182,1.0586481391035052,0.9390384552787421,0.9365773963893509,0.8505057377356707,0.9218226419377982,0.881876586492966,0.8768611852207201,0.873565172644944,1.0711874167779738,0.9097718210520696,0.9513646415327516,0.8584729325432746,0.8276097738926349,0.8373867546000728,0.777037293803781,0.9698573242132041,0.7417974568793585,0.734414157764708,0.8290659589911392,0.6453214110060048,0.5862467926046895,0.5699649328389077,0.5316667553206392,0.5650178596310366,0.5668684798165928,0.612067148543925,0.6780700608858314,0.802071061210144,0.7780655410729683,0.6800942443337521,0.6224933945329423,0.5754374290403921,0.534096269885049,0.4972610712826951,0.5220018754934767,0.6361990785795466,0.5417923937782333,0.5620588189158333,0.6213652422124822,0.5790662373026569,0.6180975768458943,0.5941681525089756,0.7109781930782109,0.6279108036416788,0.6565062473700586,0.8509763065828154,0.5760057258837771,0.6622908066753129,0.5930928485265292,0.8510594904912167,0.8660778197000909,0.7456863843498417,0.6545186128740426,0.5853848948768452,0.6161105087732094,0.567937259894729,0.5939065151404291,0.6132948474535592,0.6363205748072149,0.6872951759151165,0.7556710956428835,1.1215493729658654,1.577486254278539,1.2771051408721619,0.9403347128884428,0.7936157778177011,0.7830044475008601,0.7446423775769565,0.7236288681501853,0.6252266983569368,0.6552533906753085,0.5898685993573649,0.6161902869475977,0.6330925176320399,0.6790431431052885,0.7034841236804739,0.8661066566847727,0.9703721131221135,0.9741813723016525,0.6968536343188759,0.5950997986274247,0.6150077070829332,0.6406288466812001,0.6585089857216342,0.7293894576360798,0.7464980261909298,0.9596295797874695,0.7337018031390112,0.7957683586004918,0.6530503917540712,0.6772275098491667,0.6593815386936853,0.6573646463642093,0.6418661035554937,0.7560402013263542,0.8865179424014897,1.2721191772598783,1.7335314725597368,1.1376065955531243,1.3867118774382896,1.7496193135634213,1.2135700225949213,0.9697582006489038,0.660013578811039,0.6190731339561736,0.7513865885445129,0.6311883704245189,0.6325201358276515,0.668266938525026,0.7195886947176513,0.7651328614297307,0.6825275714211148,0.6851797070008363,0.765890739647917,0.7429969360516139,0.7159649388397942,0.7691529571762105,0.8344132484122314,0.7637760465917761,0.8221318522475517,0.9072846107564755,0.8700104124585416,0.8916798806380659,0.9698784558295201,0.938422496180141,1.0783635143225185,1.0380003778583056,0.89134889601315,0.9638170698770495,0.9889031903197001,2.1730135907044774,1.359262733051836,1.7594603946211014,1.004683291489754,0.9968697496856522,1.0114337228539219,0.9860757957509946,0.9909588320595487,0.8364416539238411,0.9502005740478666,0.8948634006769183,1.0894576989040157,0.8692872478686904,1.0193205420692195,0.8951493445693695,0.8239756890600225,0.8637946334629998,0.705218385258661,0.7638366920013269,0.7842229993745641,0.8998843189114787,0.9793426979405391,1.2635068017338311,1.0739943678622523,0.9172625490544013,1.032928564997075,1.2035865541373465,0.9845076165303412,0.9256322062730744,1.139264928230613,1.1360627501801184,0.9486160325018252,1.0777932063817062,1.1818584257120535,1.0492626632302906,1.0145130550909285,1.1133379972117083,1.016309322415878,1.013185958940146,0.9457052747230612,0.948922795533661,0.973479450549696,0.8567465297451028,0.8917714020668271,0.8957031863404915,0.8859380086005785,0.7800179404156484,0.8318873452364364,0.9553367932365169,0.8587685341615717,0.807252101633329,0.8639589727568208,1.1451571723012024,0.9937274215630488,0.9431707197739596,1.0545078048905232,1.1149768519095313,1.4468264785596456,0.9888226778906063,0.838070778541356,0.7472154118588108,0.9571270570855382,0.8448857355193798,0.8884213439291948,0.8536610368203582,0.7752482581322798,0.6295225674631878,0.6204852314927138,0.5814465996993032,0.6145301786137981,0.6817597412003944,0.7604983370413114,0.9444830733975219,0.6434113698983718,0.7973892167286729,0.7986603932109358,0.6271485586160178,0.6972856790876444,0.9054302771631428,0.940062302355382,1.3095534454329056,1.6294521483516513,2.6315048223757236],[0.6146181531451974,0.5118259805963749,0.5256405070010178,0.4719396036651278,0.43167765126229857,0.4823113312840845,0.4262764941360776,0.5147274346253868,0.4556756472751063,0.4283083633965324,0.49800544618125264,0.6335907432154727,0.5144950226521552,0.4709148314373766,0.6799600799160715,0.652360993918933,0.5908328870222538,0.6720051068248625,0.7263687123531121,0.7002861431427475,0.7896075360703444,0.7935881108346169,0.9323860587782143,1.0329792552263257,0.7706588230968106,0.7276459578355071,0.618153795830017,0.5837354591135111,0.6092303626849082,0.6380217769046702,0.7745679982817104,0.7554124793533264,0.904995878469328,0.8684912542999905,0.7846935043587329,0.7143861197800273,0.7111866457750852,0.6460488348969278,0.594657900668955,0.6213612266101567,0.7039737910185779,0.7118784605121139,0.7051219987321543,0.6788334170371282,1.630963247137471,1.8968649843467844,2.5917809638853653,1.063127182296451,2.185225556618869,1.7433499299199977,1.8088527324910928,2.1107270674317036,2.486589926608477,2.4794578215173595,1.7985257828173509,1.1491768161186127,1.8776046038971208,1.3417396381691484,1.2843339041617232,1.0732310883497496,1.1108370692745428,0.9853192381091738,0.9069953572446888,1.289550881811531,0.8970993895112562,0.8171502911832915,1.0233170215088154,0.8623401362718511,0.9919901977652091,0.862874991312512,1.1022508834132823,1.47519842173995,1.2905111546792485,1.2846649749288956,0.8780080285331668,1.4969329379132343,0.8342748398070804,0.8873702063406012,0.8079109040040008,0.8024717789524625,0.8138272524010501,0.7720231587721478,1.3545235911251579,0.8486773184088822,0.7561306655687736,0.6790789156533341,0.6997041943995032,0.7926180953735488,0.7462320169723479,0.8476694321800127,0.8417753824123677,1.0310801823678417,0.9020130213884107,0.891407809423773,0.8003692594207216,0.8719708116676921,0.8365286900847708,0.81879222533414,0.7911153714407855,0.9886472214168875,0.8343355802857315,0.8615027135992817,0.7642982930793004,0.747437491610367,0.7855449675639253,0.6868083577385151,0.9034049885517315,0.6496722596409967,0.647176489166601,0.7627918559703053,0.5665063371548869,0.5012807721525784,0.4760868131256944,0.44642737164946766,0.48422589313376924,0.47609414791413734,0.5324904261698583,0.5948343496623366,0.7898960543743434,0.7242241305780436,0.617320848594192,0.5422620233068354,0.5047569767841336,0.43721114483945117,0.3902810391398576,0.41955492563614916,0.5329628707238195,0.4608391111990163,0.4647490789082602,0.520422314518044,0.4843458927856726,0.521947635258909,0.4936829686126235,0.6188086076665841,0.5243913685266599,0.5491776540523381,0.7865809509040118,0.5036469238400106,0.6375850599424471,0.5347509650966452,0.808587466196124,0.8070979912991109,0.6616971933132044,0.587005770760211,0.5221677020221355,0.551636513357645,0.49438569000295235,0.5163122185190324,0.5423318696012945,0.5558519954044507,0.6079956321326155,0.6867457815001696,1.0896679516818482,1.5694653648200174,1.2343213151331667,0.8620603869091217,0.7182174947186604,0.6939881602082297,0.669097234552787,0.6564030791341969,0.5555358707191465,0.5835657036751363,0.5176033382350875,0.5506928720535317,0.5595103841477589,0.6268783976764737,0.6242550729248029,0.7804529827899059,0.8776844657159426,0.9004115294483371,0.612121496237246,0.5078976710201856,0.5315853183485907,0.5689129291296262,0.586052174661387,0.6526945639356366,0.668670869312257,0.8929753477813144,0.6510686618058106,0.7232754029223546,0.5585506327817787,0.5823787903610113,0.5615075604890519,0.5567510879931982,0.5591157113966144,0.7042897150051135,0.8180584753391082,1.2767205653239337,1.6521668939159349,1.0996890936570132,1.3732678518163701,1.7364923988001266,1.1600600332244038,0.8905186528291212,0.5709380219766749,0.5510328954772327,0.7416557090571172,0.522216254365065,0.5330395114835809,0.5768257155095626,0.635421075418082,0.6888238352568465,0.59836585695678,0.60585298114836,0.7006638837263199,0.6755255808540614,0.6486045920714256,0.6919769727862892,0.7803101553973764,0.7047776014507003,0.7634114696024069,0.8486012608088361,0.8152261570189026,0.849774612921624,0.9183108550963514,0.8902641514562886,1.047167340911283,0.9765675327512507,0.8235956238540658,0.9003476019960834,0.9310665505827819,2.28760172836548,1.2589860134974926,1.6664617857680821,0.9483178543239712,0.9580326766866518,0.9814333562466503,0.9507095978445788,0.9490561766926882,0.7479178079149876,0.8654051843638875,0.8053470959004331,0.9910912097946539,0.7398204516535192,0.9120119243618506,0.7888248036151687,0.7594523250630929,0.83810004014443,0.6136332890511945,0.680691004665041,0.7285818907195907,0.8295253815226599,0.9350080417062393,1.2233676609531303,1.0417818001528474,0.8640683883088569,0.9952469018944674,1.15274595454625,0.930070568822068,0.8848328438340469,1.1020939977755375,1.108324871230802,0.9115556628732142,1.0376082397951034,1.1499976142387904,1.0245595552294517,0.9742596329780513,1.0729684074091448,0.9729563990374661,0.9642080870340591,0.8930515330964645,0.8964533545652537,0.9250282932145178,0.8017211481096883,0.8254767520874039,0.830455586031948,0.8234993414415054,0.7079608906952198,0.7535919612206895,0.8881444584228525,0.8041311336933791,0.7387845328392474,0.8155258424030238,1.080504766695964,0.9310639193814513,0.8754796043105391,0.9805981289058981,1.072595128291169,1.3599469552005212,0.9323898521736079,0.7921607360996579,0.7030397252099803,0.9079517346691893,0.7783689876720948,0.8245394108262524,0.8025043647609119,0.6956290764377406,0.5377058508402613,0.5269430075482819,0.48525139207344237,0.5346422417754123,0.62757140830794,0.7277346359472344,0.9191106075483284,0.5884958433669247,0.7625721447393421,0.785094143120788,0.5828385250685962,0.6478885851718674,0.8802482766206302,0.9526803849069477,1.307702449296542,1.641626067179934,2.7504542864310877],[0.7689403902090929,0.6604371184668839,0.6642559076002161,0.5677621438741446,0.555175490605622,0.578198562369435,0.5519465394540253,0.7045728011566236,0.6287453227971471,0.6390979346800462,0.736683349290131,0.9023714971373944,0.7738526638587557,0.7300900367715817,1.0134389182716859,0.9860584548066956,0.8633474958032658,0.9763275796858888,0.9544983257962587,0.9738428793701978,1.0485419609367543,1.056343200146645,1.1313228346628346,1.1726091121488444,0.9878341633013544,0.9402784541605621,0.8636282336855522,0.8347105064824026,0.9065361736034643,0.9707732837334793,1.121732203802916,1.1273280023892676,1.243333678881618,1.2441442479182574,1.1799217912565418,1.0662635498488993,1.0528307168583297,0.9547850965435715,0.8987603239951661,0.9247179541411464,0.9464716309398175,0.9698007330793097,1.0019318182630719,0.9199588568450083,1.7863146926417002,2.0221051915805424,2.6183915347097217,1.2478183906298799,2.373526697041435,1.9364345586828107,2.0194366910610104,2.2627354050009427,2.7581460204441526,2.8095266754148094,2.074724473437407,1.458542342138903,2.0715713892729184,1.701397768163813,1.5923508430263056,1.256314458474946,1.3650833463485605,1.2873675398919453,1.2466500356197212,1.5648057668188438,1.1700196690747835,1.1187543716618413,1.2900634428569886,1.140059736576656,1.171690802857991,1.1218040984979742,1.2781007655743761,1.691513601705371,1.588613131982535,1.523743571119548,1.2185900538273702,1.7661433545841247,1.1825318269222942,1.2803244905778004,1.2043064798588468,1.1736967483737464,1.174367937812693,1.1022007718298912,1.5537706516657042,1.1960400220278844,1.0138863767659851,1.0030362315575332,1.0519165582910321,1.137682534290737,1.1102023304839355,1.2231931947029477,1.2048747843691776,1.419918900567811,1.292164668449262,1.2887720667885696,1.1786961461913712,1.2518271820679319,1.1831472068320135,1.1678170777428891,1.1270751673891066,1.3074362866127551,1.1780483208579036,1.1816712966910854,1.1054636841199086,1.01985303503172,1.0860477101370563,0.9187211397221251,1.0932059588325163,0.8684461954322157,0.8431414643025817,0.935982410778616,0.7604712322575529,0.6992320570635675,0.6694425125679494,0.6259967473110948,0.6961282433067724,0.6510304169627784,0.7290400988719289,0.7916127420897092,0.9522016809932641,0.9494531443545866,0.8124473226308038,0.7289990981721929,0.6375128003920981,0.5748534093146004,0.5193342444320752,0.527662929862376,0.6274581232600938,0.6225804869210918,0.6550232747558272,0.750230042826083,0.6620852110369859,0.7148819949046105,0.6911216614899274,0.8382971355669427,0.7287458501500064,0.7361204636707767,0.8820752736697366,0.6483912502244619,0.748609579932765,0.6690947524475731,0.8486723190058268,0.8937735702924096,0.8245724552935726,0.7339475174174959,0.7674704971027538,0.8272202742379606,0.7373466565005286,0.7859420895218078,0.7948752933591101,0.7961873774323104,0.8480746315058006,0.9336245484988996,1.281811691123665,1.6856804299582562,1.3999079664437457,1.1269361754965919,0.995408117018454,0.9612055513247109,0.9731540978532122,0.9055428035420452,0.8023216772246475,0.8514166096036523,0.759995976656341,0.817102385841665,0.781659902631401,0.7773609816442677,0.7692820791764573,0.865446670464869,0.9394027069716536,0.9666499978156684,0.7515998776306693,0.693717714276915,0.748473329900127,0.8279654288145957,0.8634643355291228,0.9224636780436628,0.9661187187346479,1.110619545439379,0.9466494416475083,0.999419013869848,0.8495336595404661,0.8532796266038277,0.8325449013844881,0.8124239765223199,0.8026820776751815,0.8709927558072441,0.96903220617043,1.2958825057921668,1.632270360343872,1.1667684392887567,1.315956968486647,1.7031923131168418,1.1971735744361875,0.9628132786115633,0.7153423635571216,0.7247565672292713,0.8843936382115613,0.7062484684095683,0.690212597212013,0.7388202833911665,0.8131982755329354,0.8671280051963467,0.7590853889688434,0.755104694225597,0.8636571912936256,0.8193672010256211,0.7571261117183032,0.8482508079048561,0.9561017123646095,0.8488242262067364,0.9163070828092158,1.0192861316294886,0.9662514582357795,0.9852871432921346,1.085532136851495,1.0310455639046774,1.194965341243168,1.1135541549501449,1.011746295773184,1.0935752438893354,1.1139530562493938,2.351352332368181,1.4552190826276328,1.8884005462940483,1.1351624111780712,1.1494044353125998,1.1530131984309646,1.1550938468470875,1.1014625315962152,0.9447758708172345,1.0550640497549872,0.988404300166072,1.1494037402379207,0.9484008712692841,1.1441929169710854,0.9102259835728064,0.8795022426997797,0.9351658866057164,0.7856413807629599,0.8714338583799334,0.912823318775857,1.0162204484904682,1.0938196353774867,1.4306817140247152,1.1984558144754485,1.0292209701972492,1.185022286389857,1.3376288621404164,1.0985383811512472,1.0310406622967345,1.25544093965504,1.236463718064189,1.0538564448307224,1.2124683489841153,1.321486831418024,1.1640289867177718,1.145430187340155,1.2451335947713145,1.158986535997786,1.1651106041927368,1.1000480380938549,1.1129511353842714,1.1373768213315445,0.9974796476795051,1.0117141647141454,1.0252905632141052,1.0092856837812572,0.8797983776610171,0.9528630260704706,1.067792215497228,0.9695278119827355,0.8857203941082986,0.9857915323493337,1.2230655550985032,1.0877857391770518,1.0249228022617718,1.0927973144485021,1.162535945013021,1.4494965991960216,1.0555887285117547,0.9291225016453684,0.8406998555250393,1.0250138203070804,0.8685915574359013,0.9040642852414932,0.8453485659052935,0.7803683945869783,0.6418942760058587,0.6670322489422177,0.6245225134575371,0.68114624019562,0.7906275800080208,0.903247351996062,1.0423929303617971,0.7320667818321733,0.9025394990624102,0.9045800321704772,0.7049370141856934,0.7726523836068735,1.0046566402427002,1.0274753959118288,1.392744938268717,1.7286434733235962,2.7251885306462382],[0.6744914933828392,0.6099685169144201,0.6025783932101233,0.5438932207162076,0.5190748484514507,0.5412609228645774,0.4825158162628012,0.5490215216382146,0.47576409727868296,0.46163937736110616,0.5197660746603736,0.6499794833193671,0.5405697715412022,0.4963309035207436,0.7067666180253963,0.6818113826557557,0.5946165634861289,0.680699745020199,0.689248679023281,0.6840897980346434,0.7658900446998202,0.7811178035540719,0.8882548061340625,0.953844020645703,0.7380804598340647,0.695490542434485,0.6096734831588934,0.5897479173051865,0.6233649099511344,0.6689252608847808,0.7694249066437602,0.7755189857299742,0.8926837620223455,0.874318224470376,0.7923586569728356,0.7159928341861043,0.7235214701661768,0.6587296291534517,0.6142478069065809,0.6451325858604245,0.7055881370651632,0.6847098713120532,0.6939663259958176,0.6741277034341092,1.4845500374266238,1.787945263456445,2.3216991615763436,0.9471746635275926,2.2627499233482693,1.898208800128242,1.8164714090769252,2.254751560251835,2.6248343756639403,2.676240118610487,1.8654481598554775,1.226087137893072,1.9219301958975554,1.3724635993954681,1.352299905828493,1.061710692484061,1.0604935601466798,0.933840926767707,0.8636092839324708,1.2274180873535474,0.8393384740076119,0.7919470058821471,0.9856368867487951,0.8560216739541203,0.9575167683610554,0.8731797342472065,1.09054874993609,1.483737676140192,1.315482166827342,1.2316770962771826,0.8646352289076228,1.4606948250270004,0.8084373576674446,0.8944022783562035,0.8162253175634184,0.8022810223009013,0.8263224810202929,0.8140052722814167,1.3732322578837453,0.8941300691405653,0.7611496065894134,0.7210430513194137,0.7201366192668659,0.7889881782405038,0.7505372659609639,0.8638508221245398,0.8347768116881058,1.0211964280556527,0.9025801002683101,0.8986810575174958,0.8168480360383895,0.9002124352628489,0.8550613652280407,0.8250634185831488,0.8122557133157589,1.009651500783923,0.844302030280233,0.9099376096853792,0.8065399264457985,0.7732751137356417,0.8190749456956958,0.7450808981907201,0.9703787741693737,0.7394316987416534,0.7495756614850854,0.8110700650031124,0.6487430702385452,0.5417773062715555,0.5194492205473918,0.47092343686446336,0.5082834387266246,0.48882716212145716,0.5673910933883765,0.6467431900780447,0.6993081341785367,0.7004999646769409,0.5954860021903591,0.5389970795604998,0.513315035757454,0.4514960697700308,0.43374231485862264,0.4631572090528317,0.625798872483816,0.5278524537385876,0.5606190716523507,0.6167817588726272,0.5839527358972524,0.6374292440029523,0.579153390116985,0.7615584460467067,0.595873376024741,0.6003069674399967,0.8193832381089272,0.52093970146477,0.6321009554206937,0.5381803779972874,0.7808796812807453,0.7714194279892658,0.6822996595219267,0.5852591848616463,0.5411614426865935,0.5753665961199042,0.518630566893547,0.5591767563601494,0.5883530721715593,0.6087060429025289,0.6465749450223799,0.7197051456637863,1.1114464545816032,1.4715629293984986,1.1953063098536145,0.8708091976692376,0.7394451209033226,0.7284678960888558,0.7007627163283838,0.7069162832388437,0.5937905327278323,0.6144527380137244,0.5509626323148443,0.5830643553661073,0.5924404158324741,0.6463369438531088,0.6244542162593192,0.7630193832500866,0.8881024254721599,0.8863567349942548,0.6413715871283155,0.5483051903114071,0.5628041500464295,0.6126746112295579,0.6209577415774924,0.6920819023239481,0.6966035379996176,0.9108202459391115,0.6803839937704504,0.7538835105726045,0.6236688926560666,0.6489296757286922,0.6368987112054434,0.6299066499485466,0.6131451429536026,0.7071879068908139,0.8294593607498775,1.2032348712123662,1.6483829269621688,1.1254553301175343,1.2385509837824815,1.558880500337874,1.0941693570660855,0.8846427115876051,0.6266491342810022,0.6386173241092669,0.7815995210777447,0.6377463384593025,0.6515833427731991,0.679574417924064,0.7381090334067878,0.7694010833378749,0.692866170998841,0.7122316812421238,0.7966931299105312,0.7608438033199431,0.7474332386796222,0.8106619757988709,0.8635558508434726,0.7985717907793298,0.8809401321883842,0.9552894961040501,0.896228149518662,0.9586698847137918,1.049823394851273,1.0173291095851629,1.1296026575725229,1.1078492096262569,0.9614791424793602,1.0155528476839764,1.043066860404552,2.261277565829813,1.402884453736465,1.786908389107767,1.0501220349637905,1.021768571561542,1.0440985909658507,1.0383046932861872,1.0194197043611652,0.8741938997184387,0.9886649784531325,0.9118113579437545,1.1007583580435536,0.8904872096845337,1.0769452560201704,0.8965791739467442,0.869375150860723,0.856854932285654,0.7306866529857106,0.7705478476708635,0.8202183680188051,0.9253146186670658,0.9918066366033017,1.2882057107014115,1.0825700268609868,0.9206376588250011,1.0542918957283558,1.205153426314479,0.9886150495689927,0.9330582737659003,1.1394293038759689,1.127996040042819,0.9453418358463379,1.0910830100920879,1.189752891418799,1.0588577664676841,1.0454012350089648,1.1322319459257923,1.0498140879125502,1.0471523006393009,0.9801194427958384,0.9938563065404764,1.0233622746803672,0.898913901308439,0.9197224068342956,0.9403823226645016,0.9340374647069263,0.8309410437913989,0.8909763647201502,1.0108674381984106,0.9244933057440673,0.8512066134117853,0.933631840770042,1.1894822415306487,1.052630128338962,1.0080773271241898,1.1231204623661433,1.1800454770001734,1.4694935665145221,1.0597461105726318,0.9199028391024773,0.8331253716987245,1.029867816668825,0.9001550605085924,0.9405467493807954,0.8847675587117274,0.8058300438974207,0.6438731350524631,0.6293374680921553,0.5732804090707156,0.6300366729144993,0.6854676755316241,0.7812095296529882,0.9240038940845112,0.633564280196245,0.809719361391116,0.8001647542879088,0.6121542577301343,0.6892527908506606,0.8687409449686291,0.9389608008018729,1.2371574837814268,1.481870646128607,2.447815714246327],[0.6211490849565906,0.5202468058557173,0.5533152931035024,0.5065054469021307,0.47409470940184106,0.49851259657594704,0.4513860843233194,0.5439397208115987,0.47435305326940846,0.4504110348338885,0.5204627328095638,0.6530419678534102,0.5355972552473558,0.4901005928220403,0.7068025480786749,0.6741860093038073,0.6003503710754358,0.6762767968109565,0.6884688355240925,0.6795454678003238,0.7559748356600641,0.7749242177316007,0.8727064249565699,0.9388033970295336,0.7396196844741688,0.6819354942595482,0.5995469016399475,0.57909411988092,0.6211953055232873,0.6588831432646178,0.7640823153169491,0.7586327234139195,0.8802514614579595,0.8360134734496544,0.7699116850570095,0.7115781789221364,0.7184145306045887,0.6449666478315217,0.6006105895436287,0.632724982296049,0.7072411385370195,0.6733959989161173,0.6807484439917815,0.667255463587718,1.5720787630465598,1.8480866280161001,2.4337759181152703,0.9750309099215717,2.205337738410345,1.8587573819643586,1.8183012950398907,2.2370010688013062,2.6018357319934244,2.6337494701591306,1.8110971217750567,1.1803384826040733,1.9515376245322873,1.3187694777998613,1.2792971859489635,1.092904162968149,1.0908248720125318,0.9414359281434004,0.8534069298949241,1.2143799540447437,0.8480998820765437,0.7976651467796503,0.9977879024779182,0.8557160706745469,0.9520489318996075,0.8760945793719424,1.07544447745281,1.4426307099494744,1.2950918989200226,1.2114887977861777,0.8653362401819804,1.4593267925778477,0.7991005876808882,0.8435756980921939,0.7819024115754504,0.779863145985183,0.8055319036251606,0.7829779588264403,1.3771025269697847,0.8600764841227069,0.7640604838460523,0.6985611756945492,0.7003751136256683,0.785607184926525,0.7343607328889645,0.8258119283266545,0.822335135083777,0.9928288152427521,0.8692612539257797,0.8632219363379414,0.7942339166394834,0.8699247711515785,0.8529151855096517,0.8125179865239238,0.8058223575926615,1.002781046087068,0.8419071079010213,0.8980721070387503,0.7889339306204715,0.7794636003190515,0.8116984762712467,0.7181257334788437,0.9366029168468287,0.6974028737430779,0.6904119629894484,0.7943917078739998,0.606298111772797,0.5342635179705696,0.5033558300320188,0.46766627164786556,0.5108723969926163,0.4890469083374043,0.5458571171237054,0.6261528523214008,0.7208755683708393,0.7010318957560056,0.6046141986047846,0.5362967838229699,0.4979627958010264,0.45039505873877506,0.40933823492621624,0.4348803785327467,0.5650952536748094,0.4935174838897046,0.5086063735271532,0.5828892975577069,0.5327002390337524,0.5652689448514523,0.5445416142558213,0.6850533071138987,0.582688461283487,0.6036707738549009,0.8026627355704182,0.519086009798944,0.6227010758959903,0.5195846694242983,0.7692009980288488,0.772196026491435,0.6685192194476833,0.5803745550685055,0.5254585334355947,0.5550733517413081,0.5084806990315877,0.547476940661457,0.5823174728054601,0.6003961247193451,0.6316082935071563,0.7034137886741143,1.0684173730440603,1.5317851810512084,1.2530807428052844,0.8753671733110193,0.7389264355932836,0.7180873053223695,0.6971086016965123,0.6877462162941812,0.5987508440784342,0.6059613499069625,0.5401763293555919,0.5760881957281154,0.5874178428299134,0.6212124792752496,0.6427589606382262,0.7956620620464495,0.9085829868504338,0.9184590497714139,0.6457235610879607,0.5380815212621177,0.5739039396765063,0.6179417652125809,0.6137115806119002,0.6820968699216712,0.6908986172571863,0.9013047842736879,0.6658258973837282,0.742024866551011,0.6046105129864016,0.6368905927428499,0.6146606803537946,0.6131914845275341,0.6123774080530086,0.6928424489779378,0.8252418813324413,1.2334277124484028,1.638995903024535,1.1105413535646695,1.3186244968746774,1.6798459389693607,1.15634211666073,0.9186957808448123,0.6194829408740125,0.5891962336037451,0.7561109930745394,0.5709288552464459,0.5661806050592827,0.6150037618550741,0.6597670394944911,0.7024894037807558,0.626424557100686,0.6278542664870189,0.7131094873432371,0.6881897262916647,0.6648278905170535,0.7096625322619455,0.7811212369837625,0.7131523001762714,0.7738782412384435,0.8515401602753844,0.8172167204441478,0.8629979375279685,0.9225613280048071,0.9047874726666753,1.0278731431668584,0.9953215031247566,0.8367085803855558,0.9084332237173225,0.937759769093673,2.266707876213448,1.2683060009973195,1.6707713426143191,0.9548847869749499,0.9654454373872465,0.9913466545369762,0.9627865379592749,0.9681895946194276,0.7698576151853516,0.8930234058210634,0.8299675436324071,1.0135108447046834,0.7827968542582028,0.9608250737692992,0.8259580326114797,0.7913870665064768,0.851750759460387,0.6461607802945425,0.6990470487569579,0.7384755372383617,0.8316197979294783,0.9270016742415585,1.2275214505141594,1.0357227033164598,0.8643851257406978,0.9906563526511284,1.1390273058962486,0.9389759659822807,0.882059775004785,1.0911051648451158,1.1004088345874068,0.9049942116901144,1.0246994137453553,1.1383084364458325,1.0166632072556852,0.9604997941030704,1.0491955814144946,0.9566627933469214,0.9506317058636518,0.8904721281399216,0.8945865083501199,0.9175752233579448,0.8129081510302371,0.8324230523884465,0.8430681931504816,0.8414561473251501,0.730582944786424,0.7796853761246324,0.9148309952768885,0.8285430596438595,0.7656866806628904,0.8423761997917874,1.1119586450860848,0.9689760158434714,0.9071845911697749,1.0141591494880604,1.108951114642696,1.3814297960523032,0.9720178635213702,0.8214932515036217,0.7296099210572778,0.9442960844979621,0.8149315219723072,0.8542299271607594,0.8071147464894279,0.7307432731948403,0.5733109250588145,0.5623674829040542,0.516251710501306,0.5587067364786701,0.6501874154849188,0.7396487764689837,0.9201793411973299,0.6103616174226877,0.774563331723867,0.7826053806914174,0.594829774278416,0.6665978231628379,0.8729680850209599,0.9456116654793321,1.293496056309495,1.5832766579850002,2.562673489182517],[0.7230775436860215,0.672557286332537,0.7922767937893047,0.6589439005035758,0.659992916584432,0.6749878163723946,0.6202838846053901,0.7100712645264334,0.6378816159407825,0.6300837290474965,0.6789978973986013,0.7839126807689488,0.7094790015573327,0.6499108224194878,0.8535694416193057,0.8303342058376659,0.7537498750270547,0.8308305593755648,0.8553449433700413,0.833795704562883,0.9045578618217597,0.9257019137766116,0.9656431834445627,1.027724426001289,0.8727528598998942,0.8390201130865919,0.7668593961271485,0.739147400851966,0.7817217208052051,0.826167812312485,0.8910927732713144,0.9049575529759365,1.01427468196408,0.9913581088241424,0.9205998135726408,0.8690278991834688,0.8775907154975234,0.8257408050595779,0.7867609591869783,0.8295293334353715,0.8611431449856768,0.8436797154956882,0.8586266430349672,0.8298512833351188,1.5131334981293656,1.7783476331427128,2.190682121728251,1.010832552725091,2.404056824967208,2.004055419559868,1.9006898046294738,2.359777304921327,2.6813485226908904,2.805097146124146,1.9756624426971567,1.356017746827446,2.0032934830727056,1.4880310008718365,1.4382028219128415,1.142362335198626,1.0999797370821771,1.0536673326158248,0.9957813279754127,1.2932263374227415,0.9582251498785148,0.9345451008095738,1.1010416068491236,0.9898551312701812,1.0538604987204643,1.0059814933754347,1.1690501382189673,1.5695581952095932,1.3647797042592649,1.2449015397606105,0.9716766431453489,1.5570892976171564,0.9442869258032361,0.9953994409767772,0.9458017601653024,0.9477277393507826,0.9623922406735226,0.9477796555788248,1.4518507301477794,1.0406121025333208,0.9271535779632197,0.8667490060204074,0.875813371192265,0.9193473121973977,0.8942847286702368,0.9849207413831953,0.9666817229618908,1.0881262385255785,0.9975808957582107,1.0120187979617195,0.9339601310847326,0.9900296200307147,0.9816920678241675,0.9485056190359196,0.9426319014427769,1.1338134670007183,0.9977284724499312,1.0661252170673285,0.9736782387992576,0.9844069015105327,1.0610097756979577,0.9302376601346743,1.1100486051874958,0.9086006192401167,0.910425529791568,0.9682854955724016,0.8224703814504924,0.7385427898194719,0.6807803063522111,0.642781888542264,0.6442642440832317,0.615800218671082,0.6711694354099105,0.7951746909841071,0.8059224180163761,0.7945403363816549,0.7273878837316268,0.6626070018917111,0.6098609875229082,0.5732805239656206,0.5821631676125868,0.6098441059754058,0.7169562203817661,0.7025480323005048,0.7376035026023389,0.7975633727400536,0.7563933810271036,0.7902022663614178,0.7762199605663954,0.8927052816992005,0.7937150069586126,0.7864143183599129,0.9667300504326919,0.6778648144679404,0.7300980565334447,0.6210297829623846,0.7901306265889237,0.7835150991518434,0.7434735188219108,0.6708136775841445,0.6862364827733967,0.7369159500257578,0.6733046658823004,0.7246582381364457,0.7649179630347323,0.7703174070701436,0.8139087092800757,0.8750253742695935,1.190909917130887,1.6056906497771286,1.3439267827114745,1.0378084353022567,0.907838593866206,0.9056607379382448,0.8687542354281935,0.8870702427544732,0.7860352870486522,0.762921502086287,0.7211263127924926,0.7542459779645614,0.7837110513192165,0.7412694014575718,0.8087184544951427,0.8814117385716945,0.986687683241623,0.997603298551674,0.8057331545365138,0.7028516427352275,0.760085760011137,0.7964986248999705,0.801500943925566,0.8657427755220332,0.8677793804635888,1.0342260545664759,0.8625437714779062,0.9478351965813274,0.7875212281964322,0.840176830996028,0.829395887874151,0.8242919647792044,0.7948653322260916,0.8445861262563822,0.9154666182748267,1.2476109512354348,1.6131168110608203,1.1231827188320331,1.3984590759314874,1.6726804325915638,1.2058194253697545,1.0123657720786179,0.8056495947362986,0.8179421766359947,0.986252004995733,0.815133523390915,0.7964352830511915,0.8350709907110954,0.9116295112195313,0.9446619177014106,0.8595111306339881,0.8767006315998159,0.9676475488202901,0.9381433528572678,0.8760719153032225,0.9634985482413477,1.0430454988234168,0.9717967964013765,1.0287708473231638,1.1212088903922421,1.089346298675256,1.1130326792286098,1.1674660551140013,1.1347142037972124,1.2684663127407216,1.1876298106809302,1.0716914768320245,1.1616534052983767,1.1790447774814745,2.488355881096277,1.4103616259361735,1.881935075382168,1.200456575095733,1.2094347502371847,1.2072544817509456,1.2202352389487183,1.1867861956999477,1.0232738949369182,1.0969182221466762,1.0764742313677893,1.2289827857904116,1.0150398363199864,1.202934492849348,0.9938487460995579,0.9672660899112023,1.0503017930170915,0.8766917200944916,0.9545597772415244,0.9905073849364106,1.0793587821055588,1.1539433079894983,1.460729301370062,1.251487090520916,1.087034350472876,1.2423129990549797,1.3565703273708365,1.1481324377557405,1.1214529586284154,1.3086860696053366,1.2988809299182436,1.1403231361894435,1.2676956808482776,1.3599048301773455,1.2459165241693002,1.2284579101237505,1.310723515855927,1.22439452065422,1.2129380343108227,1.142406021274655,1.159388826838193,1.1826095577362397,1.0798770683495447,1.0945269904116481,1.1064171774717062,1.092020056648621,0.9869591856601095,1.0461917795139513,1.1281432644196607,1.0355875623466715,0.9807043235486039,1.0270759793870932,1.2426070302113683,1.113030902075415,1.056321036912945,1.134477019734764,1.2250526679172187,1.4325867101775387,1.1013730392089542,1.0266492106070468,0.9550517844336446,1.0784303206341124,0.9584412707610255,0.9687914340739024,0.9222585534117309,0.8734289740618619,0.7606724136704455,0.7676962434167245,0.7209563602202312,0.772229950606231,0.901419253776536,1.0252042573564573,1.0973197692284384,0.8369701026500297,1.0500313758847692,1.0538028757893811,0.7946278831044067,0.9166594128409219,1.1901062034704801,1.1806863229546196,1.4917434236892035,1.6958190637102386,2.718819036543471],[0.5888596210346994,0.4468006515862736,0.46033523587893976,0.4276224241800632,0.38819663093391804,0.40618753451681017,0.35010957263988113,0.40428005713783827,0.3737519890816371,0.4114689949175773,0.4863031898126613,0.5773736681858916,0.4984084508090864,0.4698592756636946,0.6479621105990397,0.60127444275792,0.566681316338388,0.6557158963855023,0.7259350635152427,0.6804114085962351,0.7747785621986225,0.7905337174259018,0.8804821773919682,0.9704186737296315,0.7723313389628518,0.7406897081635849,0.6363987370001366,0.5905960917803428,0.5945220877117785,0.5872920824096616,0.6915229672272885,0.6640237428584669,0.7848805492872383,0.7738899408433495,0.6825883587105142,0.6419064282391032,0.6156108819127186,0.6183350643569224,0.5812127000235944,0.6120002311212351,0.7145242253637064,0.6976051327583569,0.6854291026424708,0.6808557521022109,1.419739496121753,1.6894897013282233,2.2123055636541915,0.9053659834630806,2.2829717464494856,1.8004475566428224,1.7033909227606965,2.165923821898596,2.4540147259064957,2.5364162891066027,1.7724530503700513,1.1709577944377474,1.810815526495089,1.2778105271305626,1.3774671815771968,1.0149780119007228,0.9587117052553772,0.8712361212531734,0.7913758735643736,1.1601055436648506,0.8111173249526352,0.7680197046011085,0.9659637859574607,0.836340444079647,0.9565766652204447,0.8759493912939206,1.0781700785774166,1.487289278309463,1.2646378024600087,1.157256051662388,0.8226623794613933,1.4184164961203485,0.7593075485800855,0.8014652093048568,0.7339938973895759,0.7291738772145762,0.704186605113385,0.7137085785289341,1.3409941199360471,0.7893418389714221,0.6975048762363779,0.6363383034750486,0.6473309349598624,0.6739640753770361,0.6850523226198694,0.7738320272352198,0.7680337097445175,0.9106708799005833,0.8111128318492927,0.8051908365842753,0.7354909076742117,0.8136709481686564,0.7976289220693372,0.711470437454611,0.6820809828772133,0.8616933848107885,0.7009300755448055,0.7510920269565189,0.6639279201571884,0.6385437194865659,0.7173140891873054,0.5995844371589056,0.8248285909094444,0.5657072822064687,0.5748906938600647,0.6914347562978134,0.4915269063691467,0.43758333486922224,0.41017928855889435,0.42638971595663444,0.4600162458890995,0.48909124311470087,0.553486576290526,0.6509355309313966,0.6787457857005318,0.6602016337056158,0.5907738763101098,0.5314250839602471,0.507979090834364,0.4503112523899992,0.40832378360452537,0.4037311406148589,0.4714647707862249,0.4213089817940164,0.4222554700423441,0.5006317032211679,0.4302458708288703,0.5076803303316608,0.4518908681077346,0.6268994162189983,0.478418110241128,0.4788022766698507,0.743900374799764,0.46232531470173743,0.6190439448118817,0.4997362083783904,0.7453858652245297,0.7306824083787616,0.663383756280857,0.5604507825554103,0.5095748410466625,0.5392219764171041,0.4771920044834656,0.49795137549052293,0.4883500963722749,0.4974556312367799,0.5153925562792605,0.5957179970942438,1.0372849042521166,1.5070631416085047,1.1402599355515124,0.7427668202301425,0.613965097412314,0.5842012467509539,0.5748200151509377,0.578647493637442,0.490098252603698,0.5062972292955328,0.4965556918060245,0.5173268806211259,0.5440353083642008,0.5481734413231872,0.567559338532354,0.6926401189979862,0.7863497198291184,0.8278869756581172,0.5642137128936817,0.4701922716283107,0.5016786421630134,0.5147879937541068,0.5022499052788623,0.5814069139440353,0.5903936549364839,0.8213528111516183,0.5826379330570156,0.646188460187987,0.4968818954792547,0.5009129451203337,0.48479875462041816,0.5010732197465323,0.5252770732525435,0.6432977360923346,0.7593843490418425,1.1881973435758475,1.5966939745339481,1.0368616765330587,1.2777055250747669,1.5838976253128585,1.0239204944373697,0.7663933871498819,0.5121744110151305,0.5075985819282653,0.7581265452472202,0.4751482562468197,0.4709217200489823,0.5182242704150679,0.5690509203946597,0.6235804166873998,0.5340932250699486,0.5398688608468735,0.6412813343376619,0.6182046219284218,0.5842921504516293,0.6355363250263295,0.7305183791179019,0.6584532138394479,0.710712861797662,0.8029312414671322,0.7881267559934624,0.8373603789043383,0.880756749982035,0.8529072081306702,0.9788093586400067,0.909219635536181,0.7650481715848496,0.8272831081977433,0.8400675044287587,2.4403279391579384,1.1099596640191207,1.589621139865368,0.8834244147198371,0.9153429309409448,0.9486328752913711,0.9562277313069355,0.8957312687096511,0.698864163954188,0.8601920874349414,0.7681056297704524,0.9250341499555639,0.6806143870401509,0.9440944837142754,0.6702454039937806,0.7055913540845662,0.730544007647014,0.544277069291092,0.6255389395372165,0.7182581171783037,0.8069548650545207,0.9050235400859117,1.1479746768001815,1.0056017111533744,0.8306764858262755,0.9390613965396714,1.099816609312186,0.8761527207132626,0.8362879252002674,1.0520110316895326,1.065606634699605,0.8596384299900006,0.9853953803861935,1.1089885580743823,0.9842132176039987,0.9207074354538484,1.0109236632844396,0.9099931733438867,0.899991604216378,0.8340979413809639,0.8294351865319796,0.8638056237774877,0.7526184523355931,0.7731747799390969,0.7662904634072083,0.7645460972283982,0.6532943564861988,0.7041354595085098,0.8101429442064475,0.7349106614425153,0.6710857398868691,0.735873024322173,1.0005532787292537,0.8447613574410494,0.7981137662517407,0.8987094054355563,1.0576038941826769,1.2248257550473938,0.8720930430667224,0.7471440653751805,0.6917734211619203,0.9073705540281208,0.7419914695218005,0.7634303749223751,0.7494091070458714,0.6185776131434183,0.48464691571267865,0.45700078311592685,0.4256129500386256,0.4727103263973503,0.5817633681942034,0.693990543230929,0.875087059317175,0.5286277886572941,0.7167928116140504,0.7573462037931323,0.5254789777202038,0.6158599364148838,0.9395666902541961,0.8995858148551572,1.2470776282571971,1.556438260496472,2.8048201998588067],[0.6622109138173953,0.5591793960940927,0.6195311193830398,0.5500372480454482,0.5552848918210047,0.5683358674980933,0.5427068793458357,0.604924167278322,0.5756999672651717,0.613127587809784,0.6912951630507159,0.7954703725842969,0.7096013181072315,0.6555428891439964,0.8537344571993145,0.8196883586063546,0.7822951141720766,0.8444050416825578,0.8533084968422505,0.8511182126280978,0.918933892176623,0.9446925331632285,1.003378109617641,1.0590450548144552,0.8723314533306028,0.8351257116878147,0.7975715662564967,0.7652831539376618,0.792928993698491,0.8195530287142232,0.914503653405931,0.896254647200033,0.9760721085379788,0.9961256941844892,0.9103075586569385,0.8866050731253159,0.8609092459152549,0.8289255494410833,0.8035748624486486,0.8222480063893519,0.872850362735084,0.8660354590329721,0.8797371320799032,0.8740032320854569,1.4609799026579284,1.7431331382774398,2.132434956248885,1.0402068114406808,2.3722276404983997,1.9608734368320884,1.8611240675081082,2.287822594588611,2.6553813457632938,2.779531809915557,1.96333082371952,1.3613837801169468,1.9482657861170634,1.4970670975990117,1.5007853155731408,1.1536884934889327,1.1171156837977705,1.0769420138443024,1.0022868983394968,1.285600136882426,0.9833300882955076,0.9562984424582583,1.1574921858581466,1.0281170557609667,1.0683400587620187,1.0173183251876108,1.1892516384328633,1.6325247208879237,1.4774383128368076,1.2909112679792172,1.0248735609049988,1.4709178858270133,0.9567563189811995,1.0167388774598776,0.9706288745181124,0.9373995523028358,0.9348563180525679,0.9759999989090158,1.4915830029200812,0.9999790763744569,0.8991135831190209,0.862836981857321,0.8772367010228047,0.9175832720177016,0.9031698215657098,0.9961993178716159,0.9858221775368721,1.0949706385839089,1.015558953317857,1.0206093305239492,0.9593302113976119,1.0261985178227562,0.9903076352660672,0.9369790412994582,0.918452465245368,1.0701107035443844,0.9302833074677239,0.9907251638634723,0.909744253493476,0.8567876261690687,0.9291314586656473,0.8185940953499615,1.0006802244131552,0.7749626211927556,0.7756940391482635,0.8608036561125824,0.6885998801219608,0.6614537627415163,0.6260050948051312,0.6193700167730327,0.6374240342860974,0.6435070284486349,0.7140336256242612,0.7883708506886457,0.7952761429529172,0.8331692157960714,0.7097502903821871,0.6759795176043296,0.6176430135737375,0.5950969611777134,0.5780367292899344,0.5776056426027152,0.6179334302340341,0.6053588212982188,0.6308835718010684,0.7174476136912596,0.6481757433254811,0.7271914558969527,0.6778717158598507,0.8547434796292936,0.6751498616468005,0.6708335872611129,0.8293784902210272,0.6328030219750451,0.7458729060418288,0.6362681465247008,0.7620088529935439,0.7386741135282427,0.7570024151735456,0.6919987310577841,0.7100009902065824,0.7300957481893827,0.6751163390808561,0.7107914689548345,0.7301756528644547,0.7261567066466091,0.7128508085434323,0.7740112740776183,1.143652690167638,1.5744761070556699,1.2380181094778067,0.9382719139991663,0.8361626476964774,0.8006617384781006,0.8281406541229756,0.7953562681831162,0.7298984421073645,0.7500120865970047,0.7097440656122957,0.7553195834766792,0.7576573825156419,0.6895316923945637,0.7277847232730975,0.7801040626432696,0.8629209383310896,0.9079164639924777,0.7141484142453427,0.6548898381443119,0.7096307830294356,0.7518451176435508,0.7578358110889221,0.805994159841052,0.8234505452959368,1.0231312604669232,0.8144127217817344,0.8516358861121888,0.7496296330317899,0.7552332466877768,0.7384870284429071,0.7380170442236974,0.7383057100910956,0.8077487201087191,0.8912327534050751,1.2414547855331322,1.5855912626633064,1.1468701390791296,1.2601674143031643,1.5634396200302663,1.0597219155249005,0.8610713584744389,0.6935976953614197,0.7220888919438521,0.9185638064852629,0.6659144411451662,0.6298183490282593,0.6867761505333043,0.7323584988544748,0.7831756219501436,0.6984827395503067,0.6766801192630992,0.765033408912752,0.7376170435412137,0.6855082260539179,0.7509097787119168,0.8349973665294729,0.7729330332582004,0.8237467245294432,0.8929852950475039,0.8872085292439466,0.9466928662013876,0.9790350503569297,0.9371948370872282,1.078566717714421,0.969384641163688,0.8615399513584021,0.920969878129228,0.9376796576560126,2.645787726392419,1.16636878663488,1.5934455676165662,0.9676775674775784,1.0199689239354393,1.060918588464666,1.0942735416984832,1.0013153967151287,0.8413344187121568,1.0244671037792212,0.9051895056108027,1.0107594087328835,0.8302751500308341,1.1498590291860182,0.7836813442954733,0.820389129226137,0.8414590538395686,0.6928589334447552,0.8097367023031983,0.8884552951961834,0.9384868123735256,1.0114173117406324,1.2684449238917854,1.1191130496367185,0.9508720880698154,1.0532970825459265,1.2176535617555202,0.9760578077683911,0.9274424266689595,1.1236681943502542,1.1265953987503885,0.9401485257819496,1.0625353304383127,1.1719836635986736,1.0511333135342933,1.0025676402865404,1.0860759424930166,0.9915828302967857,0.9968606839950208,0.9471610946261719,0.951781520118007,0.9637759629346929,0.8669327250136025,0.9039229914873094,0.8818682905384227,0.8738663907394516,0.7770621970902173,0.8299091065979991,0.8971847933901719,0.8402055270920005,0.7841494251141191,0.8407304509258954,1.0543606516253787,0.9159785240439579,0.889189251380015,0.9649412782997592,1.148204178100019,1.2403568726260294,0.9569259268490994,0.8492283342508492,0.8406017891264259,1.026831896885247,0.8640138261779217,0.8703678189918229,0.8614088373511819,0.7120662322577477,0.6180300389480431,0.614526855572477,0.5874822696084805,0.6249597587139413,0.737683799173714,0.8428246730214654,0.9850275976983015,0.6697271672243896,0.8517518992448228,0.887382696607736,0.6524521469569385,0.7408253235794994,1.0768645225963733,0.9993640017032611,1.2937652605246293,1.5398566989061133,2.7790618563831373],[0.6542790524002442,0.5303577975576482,0.6254254955474059,0.5351825279150552,0.547543484374815,0.5501362636058625,0.5064911726063213,0.5682232624943507,0.5110671124425545,0.5103921690268396,0.5689142859829253,0.6707792502540999,0.5955075225808883,0.5785454676174762,0.771452077351504,0.7122877636657899,0.7030746682000011,0.7637397364951805,0.7993513702887172,0.7712142496096704,0.8629873750329808,0.8885043478720243,0.9550179938186582,1.01836704597688,0.8157639639619255,0.7904545788993518,0.7311317999532196,0.7000412075152246,0.7074783512983721,0.7017576170116651,0.8027512549871388,0.7364963653225912,0.8368000251495457,0.8201234364535083,0.7630599576876436,0.7511502439409247,0.7161665993972186,0.7255726251735165,0.6950195585147528,0.7267707789319862,0.7962042462343167,0.7794913633209666,0.7941828414993762,0.7663372825446181,1.493604622420461,1.7279795341324748,2.205999729154337,0.9699005428195244,2.3484209990227445,1.826949042336072,1.794316924991574,2.161778591209187,2.5447809426246155,2.660081542521742,1.8881905615567691,1.241880577334438,1.8710359485451313,1.4319956323266307,1.4265010451188684,1.0274101530608846,1.0473351191543685,0.9451122972868802,0.8743249449594594,1.240273547833213,0.8852422431153075,0.8433538953493163,1.0689705896482329,0.939017525874744,1.0348844293135917,0.9798227559761734,1.1928984029625544,1.6468085972015705,1.4629934889875285,1.2703228331905092,0.9421999346248093,1.459325755500806,0.8415802473747473,0.8726517780066906,0.808167107084887,0.8083018203428042,0.7912236057582037,0.8004696559344647,1.3616732842489754,0.9139322958673443,0.8031687015839168,0.7424515662622083,0.7503309673539172,0.7658317429514938,0.773804661680892,0.8294636265236334,0.8402504367453858,0.9942729795583455,0.8828400556604209,0.8600678045209046,0.8208074740526029,0.8873326553717326,0.9223493376896843,0.7738225112089756,0.7523835466327822,0.9189758575672924,0.7776695647330615,0.8578962083196727,0.7606449591040629,0.7920060443929219,0.9068624101759769,0.7527555435438398,0.9673240373244673,0.7454668063782846,0.7399765967814201,0.8447817981802273,0.6721500419175127,0.6144822863276845,0.5608828434837734,0.5761285739612173,0.5828624041760774,0.6163055344968065,0.6540950529634302,0.7671035422405299,0.7816133042724068,0.7985198177451862,0.6981845720715593,0.6484762846174948,0.6145385210541462,0.560158685680741,0.5212809953777691,0.5175757679652556,0.5541005875708732,0.6026294562329755,0.5980777630343639,0.6754489161142566,0.6245050139251302,0.6895446245531667,0.6425108264759809,0.7944476205035036,0.6624036413926151,0.6507208859453903,0.8334541235355206,0.6287751291372023,0.7539018972391839,0.6129497366936845,0.7652780188870675,0.7468732662750406,0.7267244336003316,0.6425610482931656,0.6435121085973515,0.6610924141720902,0.6138525775711431,0.6384705410050868,0.6416863765310158,0.6422121722597851,0.6866673970763444,0.7479919654456111,1.1191085304509758,1.6779022506386978,1.2433890146197089,0.8582950200391096,0.7250912551856034,0.7229722045041721,0.7045370533931637,0.7205838238741952,0.6513557064068172,0.6459208053075707,0.6411768557839876,0.6596115052997291,0.7039220821293983,0.6687411967721598,0.7001795162775459,0.7871064276723546,0.8558266187313854,0.9235843480023267,0.7118063609090516,0.6348593459132993,0.643437509219733,0.6733054402514858,0.65045070431765,0.7138047703444935,0.6981655675859039,0.8961339688018696,0.6902758653015569,0.7803428393825387,0.646144470151129,0.6736398655686753,0.6574275703558807,0.6647577348251258,0.6759756841192421,0.7368444772118029,0.8068410590613637,1.206616387443975,1.5378543276504666,1.0394240451171475,1.3194875346156085,1.6433945524338338,1.086573781147803,0.8672048327451816,0.6745010495028311,0.6875443370066817,0.8971032248600727,0.6498246641914888,0.6317333897407545,0.6937185313691682,0.7469741273660307,0.7971799311208179,0.7150858366852513,0.7006608844247183,0.8055879346308567,0.7836701514452142,0.7022851743817082,0.764821767540278,0.8764903014021149,0.7930622118185646,0.815884214096461,0.8923188031102702,0.8999244086305273,0.9204333499751046,0.933972831917776,0.9117896770492819,1.0540520564000282,0.9458233322367322,0.8615940946915518,0.9081961651551599,0.927653952714587,2.6857318672776556,1.1474822631623098,1.5877100281183405,0.9938177222675305,1.0518026516862091,1.0882828095867345,1.130159516247316,1.0165803230120003,0.8557811203929089,1.0500625957337024,0.94950159540784,1.0084554812182425,0.8442109661897448,1.1855517102973712,0.7509274811877462,0.7977368162294252,0.8516819947064204,0.7115588824692869,0.8187189058977985,0.9009280267295146,0.9908987116974725,1.0882991763328806,1.3090572548712238,1.176929076636638,1.0009733249022932,1.0963394688187,1.2726293970899296,1.031616641483942,0.9938146382038183,1.178036948515725,1.1897937362887914,0.9992461985158133,1.1127166674028872,1.2259131257000038,1.1109380853792417,1.0232635706436337,1.1120202355243647,1.0146906358207197,1.0399394599643865,0.9890719633206103,0.9891796055042242,0.9931973331296392,0.8991654840964967,0.9282860462123874,0.8947887649046455,0.8809642150537454,0.7887118873807729,0.841712079717535,0.8977794963798774,0.8399445677176169,0.7805287390574536,0.8330215301848324,1.0238234037778673,0.8940141783450921,0.8667637901010402,0.9460221034350916,1.160771956077024,1.1589537266367087,0.9072821556292318,0.8361351955577916,0.8197844598291494,0.9858606107109812,0.8129132570412115,0.8087982831684956,0.8204513676614539,0.6990319887267099,0.6214303133942904,0.6068989367150792,0.5720924011783021,0.63327410710539,0.7914792463912976,0.9252164241167712,1.0334451801784192,0.715303102272574,0.9092484146779515,1.0020820000914286,0.7101617094022251,0.7958116219795379,1.1769212802614968,1.1145873096129797,1.405288093256565,1.7931538752247536,3.2113768113976624],[0.7210769573280736,0.6558710475426934,0.7733451942800392,0.7404182894702992,0.7459511972267224,0.7242393966244494,0.7305584354917137,0.7240692057615691,0.7823211607861981,0.8529231283354236,0.9199433052316133,0.939191437872163,0.9261327834986065,0.939143925066736,1.093388926091525,1.011562525564363,1.0216949999091665,1.065242912878793,1.1036781226207557,1.079306081503082,1.1336102298527997,1.141379451672012,1.2060104169780617,1.248503398640901,1.1118703364046278,1.088532462728689,1.0358911381415958,1.0012457597967606,1.0066918875623223,0.9711673715776793,1.0982668247496377,1.0078797954448901,1.0397784950292739,1.0633680199882196,1.0216035157430114,1.0380616221010954,0.955583162116466,0.9877248630996813,0.9809741818057076,0.9587336571955017,1.034366897418693,1.0467454300660481,1.0636109562422054,1.046412370134131,1.6380530181032649,1.858991096392199,2.1925155043008715,1.2010091289355245,2.462249382312343,2.018462122211698,1.9621469345457772,2.303394783959197,2.712234573430721,2.8545145022165337,2.043590525964682,1.4089619731070016,2.008555952993047,1.5915765814427132,1.5090696503405965,1.221654273768846,1.2561286091295756,1.215156298588443,1.1161970566589177,1.4351571032717512,1.1609814591795822,1.1145941771384869,1.3420996684676196,1.2275875113819987,1.2845362764521313,1.2652411853979562,1.3784036231051546,1.8100996303019554,1.6750699987971522,1.4773076654222899,1.2364587806385907,1.613592830037621,1.1318787524269829,1.1256678662438988,1.0661488499645526,1.056926648340134,0.9903978455996713,1.048362419741782,1.425980432191081,1.1125225881721779,1.0007663074801416,0.94601373368994,1.0111916104400627,0.9653502466799507,1.0548300357052356,1.0865943423770528,1.1233217989334798,1.2640499531748357,1.1743845128791062,1.1441717254195678,1.1165367013106802,1.1798541548095567,1.2085867225381923,1.0401873994994513,0.981369673602364,0.9699004747528646,0.9356490836993797,0.9380556791473119,0.9127623696319995,0.8400297301526554,0.9616869344093222,0.8469297507598347,0.9876165058842484,0.835879698483595,0.8550431875916464,0.9025283103066292,0.789398839691025,0.7793224068781366,0.7777121579954374,0.8203559735263051,0.8697441742745585,0.8912597009426554,0.9716813064650403,1.026187836376225,1.0260867236947726,1.0520931893705099,0.9700576645494086,0.9276930893711272,0.8844875553042532,0.851858705116936,0.8242320113238166,0.7998504346108066,0.7773051300516602,0.7937037627366559,0.7796397071296722,0.8212550234688732,0.7773422057482289,0.8288213958244293,0.8056440281103794,0.9255280477361384,0.8337363032532301,0.8317253399542048,0.9823487766874568,0.8437112529417311,0.945920450553853,0.8652661646104368,0.9377789494975275,0.9528352007911948,0.9858743755564195,0.9280331413810484,0.9377538570749028,0.9348814663556432,0.8873729660830205,0.9039987461410016,0.8429665076249793,0.8357729939806975,0.7736757428587165,0.7894716699478586,1.0822258553681627,1.6139079168726298,1.1555402345245425,0.8923917715083494,0.8703279072222474,0.8095613908737436,0.8856071613890836,0.861896190610191,0.8627686819757266,0.8994635607490111,0.9150415930400356,0.9250733884407726,0.9627694698170968,0.8858844190093619,0.9154437419568954,0.9608254702195156,1.0116613522081535,1.0852891047971038,0.9090648520201567,0.8575373774481625,0.8828451254220208,0.8807053316464282,0.852363720191184,0.8420409874330341,0.8713617341298214,1.0096376338818613,0.8645529485740565,0.9144747465506573,0.8420753005700738,0.8227328126446479,0.8228383203324914,0.8339693508446901,0.8525736140080316,0.927353515051898,1.0516364615390388,1.3669900717425167,1.6245149219826833,1.1948446280362859,1.395109327614528,1.6843671623566558,1.1607386003805473,0.9720712275471068,0.8463488539937206,0.8239458470586369,1.0359706962123367,0.7944142571652472,0.7714082054550482,0.802999432202097,0.8393275234936747,0.866432491604857,0.8071574582195139,0.8044741649296157,0.8923677277838192,0.8722312795783064,0.8290129050288,0.8730342484878091,0.9516306754286825,0.9092106619598367,0.9485091952410384,1.0141960271568233,1.0223627454942719,1.0406818161117721,1.0745488683436832,1.0444104572492228,1.1457303549383084,1.0579527240799298,0.9736885109482508,1.014310901471735,1.0331586096448244,2.7786727286335475,1.2231570370373233,1.64268451957781,1.0590241488293262,1.1100112093515355,1.139156246340918,1.208017723111326,1.0804893758691507,0.9440751105767899,1.0745486523264245,1.0197408993624122,1.118732311189047,0.9338593650471905,1.2199170693358372,0.8642354281985731,0.9003397750438129,0.9308417719017686,0.814134320682472,0.9203460982611152,0.9853602579927411,1.0351787890777413,1.1049986094644721,1.32099685519314,1.1890923286454111,1.0389614855770966,1.1436429529981,1.2984435173065962,1.0508783631065102,1.0363914650700141,1.2115213428568046,1.2093564613436705,1.0595568330010712,1.1623317346915942,1.2601910341983023,1.1701164532544053,1.1101554084494587,1.195169827419824,1.0890492491442223,1.103862415335502,1.042914856773438,1.0430192513637724,1.073108957258401,0.978444831014982,1.0032427300736848,0.9851487097945808,0.9795935955252192,0.9014372914157404,0.9473765322654384,1.0019563991586655,0.9468353492767518,0.8836585072421193,0.9554187326951016,1.1144509249160799,0.9816483265157573,0.9692949266721073,1.0560896788657808,1.2388643273091864,1.2434729271867027,1.0233585236513412,0.9600026649217405,0.9608424123236312,1.122283736680255,0.9689456475065523,0.9565986278768579,0.942405194347703,0.8290041211967946,0.7753246012538488,0.7712936339464976,0.7516378522646157,0.7780221728910219,0.868917398557273,0.9886787887727772,1.06090768137654,0.8224784904415733,1.0198278934855767,1.0800205253119284,0.8131638694456415,0.9127125963906778,1.2403509945603752,1.171045329747085,1.4113396639851374,1.68799291548426,3.0931189760306737],[0.9474464760763937,0.931960196773425,1.0247023968724196,0.9199797308248517,0.9399038783093795,0.917040543059321,0.9281350518758295,0.9453746927023545,0.9816217086651507,1.066252689180859,1.1593956722463294,1.170537709387797,1.1945122495909513,1.2214600525703916,1.4660114485975,1.3783472016331613,1.3427635304759908,1.4468714626249652,1.4809832276821224,1.459917023028162,1.5431910418112016,1.5409375889986687,1.6224518182039127,1.6615931900653917,1.4641838139962846,1.4488188701069284,1.3684929464994284,1.3218760638987583,1.3562989004260635,1.324724541897464,1.5059186801097997,1.358355251883845,1.4276827526067495,1.473260893557237,1.412894307466125,1.4244045437892,1.3129659376122993,1.35453872905526,1.3085717789582043,1.2948848796222139,1.3520736817735717,1.3944443630129966,1.4144167557753229,1.361041716040176,1.8926225061137498,2.020062176181069,2.4128211395572414,1.4868600427163698,2.5344017834176102,2.0472997607263435,2.1564793025476603,2.3806537917696105,2.885457576452298,3.0253667826632937,2.334485745934991,1.7324487128675963,2.236447559055354,2.0022843573756917,1.7622504360919624,1.5442893066493841,1.618307969963488,1.613746873661999,1.5472383125758604,1.8382614631253247,1.584366942513362,1.5236740641491442,1.777532538691283,1.6661565264116576,1.705533933323184,1.6788611492370173,1.7740437123006854,2.200781332593942,2.0179458598558053,1.899976137858325,1.6663188176203383,1.9668768665788738,1.569553691169501,1.5684592168944889,1.488266894993578,1.4673039032714528,1.3304916395042239,1.3310128614143248,1.6089261313031227,1.4098483257564582,1.2892811613117936,1.2483956327786523,1.3558882024780807,1.350036314198293,1.4501619705267936,1.5035713262490251,1.5534131140306626,1.6867426780882118,1.6266081468953515,1.5957578326292636,1.5443854358564746,1.643615186115348,1.6176381617711222,1.427767952572038,1.3107759779628483,1.201954290165614,1.2266811564996263,1.183866524745099,1.1858266644096744,1.1142569967752858,1.2650084104215755,1.1161622036328798,1.2052146053800668,1.0826002767382747,1.097831722620429,1.1235657621387534,1.0369537578644636,1.0128376571388094,0.9942359141406005,1.041467801123451,1.101468435292405,1.1403363687819925,1.2395499240613814,1.3101693126088907,1.3990887990970533,1.436487773980005,1.3037608627436648,1.2151122110622405,1.120228758387619,1.0662925062725928,1.0207530377552347,1.0153459972928005,0.9905443175633175,1.0159597529269366,1.0148278004053628,1.0618420250323146,1.0238149847926248,1.067188571482175,1.0555231083457661,1.159344083085186,1.0771479092051783,1.056288554060311,1.1607152825980087,1.0422216765888908,1.1250538257294473,1.084838561820812,1.1465041938354792,1.2297658062438679,1.2640506857667813,1.1949159338695563,1.2500317611276828,1.2399222439092858,1.1678499467920351,1.1652163762044516,1.083441240940707,1.0635645837844525,1.00400893126613,1.011352870933218,1.203555350404144,1.6865607573258259,1.2874105590835987,1.1109886585661302,1.105358395660088,1.0689534286493487,1.162818503701207,1.1164566205112845,1.1160249027655742,1.1718600729725772,1.1686235711009443,1.2067952504600048,1.2215729599841534,1.1122524853178235,1.127376481216286,1.158491565300623,1.1875479337769939,1.2484443566457397,1.1112968977774877,1.0861186189988419,1.1168831750147628,1.1470610152138925,1.1251621889907277,1.1132926190587626,1.1557805949030846,1.2488409850450868,1.1448148281334665,1.1629016244162755,1.121766694442,1.1036143006966186,1.1017522428768232,1.110670565258796,1.131255577084386,1.1714466855955863,1.2889654615261632,1.625113837745275,1.7423127202300543,1.4067808611663695,1.5419730578177675,1.8004577111940325,1.3219695517491687,1.1773458210365186,1.1047768493010328,1.092080421505397,1.2475310707952796,1.0380898031620411,1.036871727650432,1.0658664806507605,1.1227172705910113,1.1453290009766857,1.0896770539834517,1.0983934584691886,1.1979197367716248,1.1749352781300852,1.1084757647450918,1.1801394743831066,1.2849604952539628,1.2192918714659975,1.252686859108413,1.3392151758313062,1.3488882088231662,1.3216528301637118,1.380700884158165,1.3246302482708403,1.4534381688252027,1.3154029169662673,1.2806966454466888,1.3547105851616474,1.3887047634893008,2.9320863280225704,1.515080124375977,1.919847594604216,1.3766468829925813,1.381495048119232,1.3845730894242851,1.4836019362560988,1.3515222997931051,1.2313860367857983,1.2917835858199507,1.2802894842079775,1.3796535791519964,1.2100193817908302,1.4315304197866774,1.1476317782361283,1.1602184845800623,1.1421366755793085,1.0929841362182215,1.1532852551323776,1.2319377919481491,1.3085007270034106,1.3680464058730233,1.5864781169064222,1.4598306780901855,1.2923744539827413,1.4353091282791393,1.589252439778397,1.3242828450194248,1.3396349109280252,1.5240684290874447,1.511994813294105,1.3806034904052449,1.5064848328224907,1.610095818496746,1.528407486517716,1.4668641779796852,1.5678874978840323,1.4424188862394578,1.4537072317145252,1.3790429276846095,1.3786036746149586,1.4248337089200276,1.3153935053196788,1.3074502843399955,1.3181548769267608,1.3156995301534309,1.2132968505458073,1.256008757042098,1.320454422072582,1.2346103641320962,1.1623981727471477,1.2405778121293194,1.3535759188290841,1.2298481997599038,1.216843225907033,1.28324315847609,1.4314389332933464,1.4392248424729872,1.250981746098442,1.2082156884344786,1.2091598692566639,1.3053693733965606,1.1873064034292204,1.1704456308267566,1.1605514150391942,1.0774867798435694,1.017063208126103,1.030535351073756,0.9978337303217265,1.0330942539185797,1.1313814131913376,1.2782061022529452,1.2853372640734546,1.0714053507618526,1.2871417353477834,1.3428228502542803,1.034017338099076,1.1311583633785705,1.4580159791438698,1.3877604985916465,1.5684259768907796,1.7143736535559941,3.082083017271923],[0.6468914978026263,0.5362822536783337,0.6324070027007882,0.5717798346968258,0.6085933985571079,0.5846054864262185,0.5923813028136735,0.6413950419121756,0.6246869448751312,0.6853305654067497,0.7518248247881228,0.8461734545390833,0.7882519737588869,0.7882989132682429,0.99705121010487,0.9315141105231561,0.9243805379337587,0.9888419828258589,1.0249724443621249,0.9862143983897799,1.0862393129632375,1.1153063084855994,1.1636940440150534,1.2347618223313124,1.027602689343619,1.0106505858079393,0.9640609672192425,0.9265902750052194,0.9357946873396069,0.9176770876871654,1.0400789526700744,0.9465578422125321,1.0252924958048188,1.0316791584509108,0.9868739800134134,0.9790839996340676,0.9176066685778094,0.9560515444288598,0.919572202079968,0.9445519198589618,0.99610270290118,0.9880545427673045,1.0190479895189726,0.9595809229713271,1.6532898760816395,1.830371404594386,2.3559163582830633,1.1878520088758657,2.423664016111744,1.843124472779376,1.921861432771288,2.1814265040502785,2.628850644012498,2.748434239910621,2.0922607777789657,1.4389425495536465,1.9448407694931624,1.6890235405418763,1.572838648303344,1.1670622226301741,1.2308866254489363,1.1638523697119993,1.0986581789814178,1.4519923394468321,1.1257865562387188,1.0735237709345018,1.2963982461401193,1.158567021292665,1.2456043642126255,1.1790958323540857,1.3848248426817924,1.850868469820116,1.6562083262948268,1.515457243014575,1.1780947120210765,1.6271986306566464,1.070626261942659,1.0969144859170548,1.0311481738027448,1.0376575429413026,0.9901410613457036,0.9967784460538183,1.4384530857926616,1.1216082114308612,0.9746668700995402,0.9263343363440082,0.970249374247271,0.9760351996593112,1.002136494607308,1.0315207011183842,1.058049559233852,1.2010228063286508,1.1072672511215067,1.0837808295815519,1.049075078753864,1.10645108085257,1.145183094703611,0.9685202497515081,0.9304225649974832,1.0001281174260972,0.9353694406755637,0.976984587863901,0.9187247286101774,0.8966835182805937,1.0549371393495839,0.852984320061865,1.0468562777212047,0.8319601860908257,0.8093844817179384,0.9137481600445799,0.7372078174913378,0.7206376436069292,0.6779062840210021,0.7317426350426395,0.7699482910757431,0.818353839789075,0.8706105870596751,0.9729073594197335,1.0412699253691435,1.0561601853588465,0.935003398656561,0.8716147694657179,0.819289410767503,0.7420925977391841,0.6780620344579893,0.6579504990147791,0.6316016362004256,0.708273212469375,0.6880834825979677,0.7743205943861126,0.7138215378434922,0.7727999054276868,0.7503691574307568,0.9008549011503584,0.7868381637939165,0.7675920303575692,0.9076642142082565,0.7660414049670865,0.8875361017553242,0.7939747461853985,0.9280301453793943,0.9491452408212446,0.9227287275091314,0.831534748180031,0.869735159085103,0.8791296284623525,0.8193715775679669,0.820760377084168,0.7890444372816857,0.7660716172379646,0.7755626364213223,0.8018011320672153,1.0999422045738154,1.625410572453666,1.2082927379771817,0.9354532927688999,0.8553827147832097,0.8389368511048234,0.8659061239772444,0.851120825887601,0.8025805664333023,0.8283549670219061,0.8265584430824775,0.8573454161092026,0.8894767132732274,0.8302207308496861,0.847520101549934,0.8980489352483749,0.9180180769958841,1.0012440296146161,0.830444284262354,0.7906223918711527,0.8117698093653033,0.8375852289204486,0.8141846223437975,0.8563802351477009,0.8608909955272851,1.0439797906728374,0.8543009015916355,0.903580441443155,0.8197251579717978,0.8171152763364258,0.8121781721027431,0.8190059666816835,0.8390130294068742,0.8704742377043823,0.9483960908316909,1.329788602339948,1.5495241537017062,1.1374238660863611,1.3997721214895094,1.713980995227562,1.1521366364587917,0.9490565648237514,0.8035289419349759,0.7958270248707047,0.9850545215805542,0.7273686873473598,0.7021764098349905,0.7571860972896605,0.8042935766744276,0.8518872198877707,0.768281442760181,0.7435126815707157,0.863524035615649,0.8302687575171873,0.7239180287162218,0.8078382674916796,0.9283050404256407,0.8322782326249261,0.8590968757234255,0.9532471979550692,0.9535831338206592,0.9521544847600258,0.9911474591800463,0.9398269949728647,1.086183613293265,0.9736155271312695,0.89892505233417,0.9674890618361596,0.9949320023459768,2.727531971423524,1.2085958039362035,1.6733583507208767,1.0774260071230695,1.125191454646857,1.1538868667053535,1.2335770848210614,1.0758239150605367,0.9265523764675762,1.0928291888923465,1.0161428175918843,1.073956934651821,0.9054600695087222,1.2248611573691779,0.8103255740582703,0.8538046201166019,0.8745860218708145,0.7581095428939018,0.8840381221485084,0.9775563157159188,1.06071678400044,1.1471739501489002,1.3695785203071273,1.254325293483062,1.0556275169556597,1.1695231113419542,1.3563689482464414,1.086850599396571,1.052602353009126,1.2520632396116336,1.2413379532059703,1.0528240722963513,1.1841542598309014,1.2933634180291014,1.1610686993353292,1.0946080210603741,1.2033135571254916,1.09230352721132,1.1193157064114574,1.0609969065630824,1.0636442713508987,1.0763362008812665,0.9571973595824148,0.9917660923052378,0.9669848309041075,0.9453575714849268,0.8536392385200118,0.9213630674144924,0.9468492937232017,0.8710325060414588,0.8164551434929304,0.8887998654225369,1.0474754425129735,0.9084757620216345,0.8802142614728498,0.9581541083942293,1.14864145367576,1.1695285347512905,0.9230810568582462,0.8626659438801982,0.848556351860051,1.005962488171247,0.8426363886606061,0.8350855248492494,0.8508645801972121,0.7375151017870942,0.6804690148695441,0.6817018815791952,0.6516566887264791,0.6863502474881078,0.8322791654040483,0.9701930130855366,1.0647559428827555,0.7549605516988661,0.9505082574458538,1.0362501806134812,0.7300903945298736,0.8000172789642349,1.1718454265978755,1.1175583341975668,1.3925090745153224,1.7096905676859953,3.1805620093443823],[0.787267654979067,0.6825787275239394,0.7245099618653522,0.6293466878180715,0.66253539312573,0.6952232764522878,0.6706730577846473,0.7681650805570756,0.7025001865115498,0.7146753345208677,0.7910503837251064,0.9571646146837193,0.8594161873989974,0.7571773072371963,0.9935943157092552,0.9866479572004906,0.9311955153646468,0.9877489965990406,0.9803463975075906,0.9898441344955766,1.0768556123542021,1.130052287128839,1.1397191667442914,1.188235381342493,1.003459378902805,0.9663311422566955,0.9532903846547897,0.9117750442241954,0.9649161884611224,1.0014408613026051,1.1196899311896196,1.1075449603964151,1.2014519196030398,1.230720499323063,1.1549099648973902,1.0887261262618873,1.0626268670078687,1.0351273566478714,0.9764010436551755,1.0387335216170135,1.0138523183545225,1.0220552712153537,1.068958793866861,1.0271706089514008,1.5986709148928906,1.8323843281218999,2.329707253616655,1.2264555154927976,2.494042232741718,1.9408046542624717,1.9433982734114605,2.301338578915415,2.6667576224021667,2.770616216372594,2.1572304746506243,1.5904294182330512,1.9676640068076232,1.7350256257392516,1.7572735710184173,1.3218134521370586,1.2876445050913163,1.2337260385655278,1.1946155393800182,1.4924620112171605,1.1712077490265294,1.133578324228959,1.294230434420048,1.1744819223109335,1.2083870463850765,1.1402823956587693,1.299082859691568,1.748990999088558,1.606691609120962,1.5040025564979083,1.2148311201943354,1.729943935049191,1.1788665908875788,1.2643215416248355,1.1928629938658857,1.2010599097565067,1.1463325280124423,1.150354143629211,1.5952039944017145,1.2310322727964724,1.0637102595082804,1.0479908341335948,1.0739081218529472,1.1243979306251748,1.1256482001271686,1.2179982032349628,1.2017605791486563,1.3579770528782258,1.2673703121054447,1.2645963979910617,1.1641909135188948,1.22420305140637,1.16612691991993,1.1260081085184985,1.0999734315857377,1.217998294596384,1.1425679898208028,1.1691374786529785,1.1140451680617833,1.0584273417444285,1.1623133746679313,1.0143590470676949,1.1853442836978612,0.980403220678265,0.9422823287997899,1.0312564027789628,0.8612777756179805,0.8226044967575282,0.7762548527219522,0.7656760088393325,0.7699145494871291,0.7733255749034615,0.825841904746581,0.8798195314056397,0.9599681628018034,1.0055016795397975,0.8323064746892097,0.7921490081016586,0.7061122298927962,0.6836163347638405,0.6724292878392149,0.6897112548475136,0.7466931915756504,0.7596708680288523,0.7937216125841606,0.9025557877839571,0.8115905577159374,0.9117165705349214,0.8400212567104492,1.0435719486252197,0.83235195688486,0.802988719923357,0.9190626156755495,0.7603468471228241,0.8606112332709579,0.7815746765368426,0.872047730756982,0.8874209364459276,0.865026818125361,0.8097111346633734,0.871303045398752,0.911948105684687,0.8401787778656525,0.8824948130474815,0.8775306813824229,0.868781076134463,0.9181342135027307,0.9674124094832552,1.3107903193597352,1.6956332308109257,1.3245408766434823,1.1163418340716467,1.0086935238868369,0.9927418987867628,1.0047706393358686,0.9800648113648452,0.8920382690853971,0.9159368326886432,0.8562452948661584,0.9164865545103346,0.9128117323915284,0.8138334641708072,0.85276510829229,0.8815025921899707,0.9245721539891442,0.9819502053029492,0.8296225899631547,0.7936174986450156,0.865122934179505,0.91214701322936,0.9347634500023436,1.0168552064764362,1.0144520290834615,1.2327366298152478,1.0271888522783446,1.0361424107786077,0.9407461002287879,0.9452997338557932,0.934382064230011,0.9336347182578618,0.9299614398488465,0.9806096372569204,1.0489134998511278,1.368412063647377,1.659502425950801,1.2288001187974904,1.3945265808170955,1.6602296511102728,1.147859343319006,0.9729048439462387,0.8631207836909363,0.8863411305623566,1.0485404540659977,0.8322492686145752,0.8109395191807377,0.8793924752588247,0.9335400438452716,0.9926501445831967,0.8898626997826953,0.849205392977742,0.940210970853088,0.9109127457684281,0.8179316161746871,0.8963424602154889,0.995539102913105,0.9084959445510199,0.9464699434381831,1.0173547750195902,1.004524530072026,1.0576675565411287,1.1035117095341733,1.041346850713218,1.1754396621768748,1.0687711405501235,0.9860363594346847,1.0515815016176164,1.0738111695501444,2.732371531453986,1.2921510019979063,1.7014835278993565,1.1286481807889905,1.1646705799674166,1.2016694758987079,1.266060001739227,1.1411918955539422,1.0292095965713837,1.2259751189401562,1.1062474233440138,1.1773962167135261,1.0333606685162708,1.3462380103061733,0.938583047926786,0.942317559694384,0.9481869474201365,0.8670814100396177,1.0187389928669857,1.0939421273711167,1.1514557950474225,1.2369954852545832,1.419231229915421,1.323950562240846,1.144224794058596,1.2371497624878733,1.4184551925718019,1.1606681931019043,1.0882411072294529,1.2738243124258697,1.2634744646739398,1.0763102589241436,1.2180846518433506,1.3405391728360674,1.1956015641434785,1.1342277946331312,1.237867180035441,1.1320705425997235,1.168490102440776,1.1383801524153263,1.1407075428359905,1.134967400652313,1.0190281429834012,1.0748397451402536,1.04362007959862,1.021162462718512,0.932317800852625,0.9917955191675476,1.024954297652767,0.9522137556066541,0.9194423625086576,0.9674575033720478,1.1436135409162587,0.9997041337367755,0.9784568783911707,1.0520312839963901,1.2140102451639296,1.2907206852083881,1.0420945510785589,0.9565490889084947,0.9460006394661826,1.1182144426412841,0.9550322552517074,0.9698901567683883,0.9538695853772927,0.8435632974334646,0.7689774707679216,0.7738923618414992,0.7378495930621491,0.7850710231463378,0.9091101930298031,1.0042662185866345,1.1307032116688904,0.8313318574561179,0.9756957669038793,1.0346979287679163,0.8044802326330254,0.8402634817268169,1.1340909306339193,1.0893357373471517,1.343933883524024,1.6031505137466184,2.900482000304471],[0.651099827340711,0.5371141432241338,0.5865066495229404,0.5471843931652037,0.5041042577359804,0.5130361564305019,0.45435099166475124,0.5077289794278246,0.4619259250474071,0.4560264982299365,0.5029751333731748,0.6167982489595045,0.5430678169808937,0.5057334143287475,0.6933811379436834,0.6623051037938676,0.6204421144312888,0.6974383495125985,0.7453300110566602,0.7232547029024899,0.8204969947339928,0.8298404447267181,0.9469389305846531,0.9991718138665057,0.7771521823047627,0.7469744247986642,0.665309613201216,0.6307535692585201,0.6441543365850422,0.6451012591671111,0.7549420122351008,0.7185091465923916,0.840778089181664,0.8041984830492918,0.7480277192327129,0.708977655933235,0.6923635414346575,0.6735704567296128,0.6353237646596434,0.6680853120850454,0.7271317495601296,0.7242525836257626,0.7455551768769727,0.6857618459333858,1.5772152734253382,1.8101459760033862,2.403035583273983,1.0041493087449587,2.274547904706032,1.725614354380139,1.7955255249313953,2.097378558352224,2.4679342745922748,2.5422339341765836,1.8450411652244056,1.1771344874349061,1.8536055060322634,1.4165263364113723,1.3174741640375736,1.014230413495915,1.0764993958504423,0.9430146704494371,0.8607427228565396,1.266136150159296,0.8899411192373892,0.8202453476315029,1.0395918825460735,0.8827322662682918,0.991587552518368,0.8852265983376868,1.147277252607053,1.5856079517062664,1.3514935118762452,1.27873312302909,0.8748509862323606,1.488313962684675,0.8160066182334592,0.8437215983319326,0.7759796791474232,0.7898299243682793,0.7657063003174214,0.7694728195322232,1.3180992884598677,0.8741552403406774,0.7622556352132316,0.6935400738735051,0.7083774661453288,0.7331255350879727,0.7428879524947984,0.8061230973267598,0.8038184379242702,0.9742187980145237,0.8505202847177473,0.8343158269456133,0.7629164763471632,0.8192538331416572,0.8395745801967561,0.756831708802556,0.7425584430080024,0.9080285265010248,0.7749611038891843,0.8382023608504984,0.7316113509604533,0.744869336347195,0.8619506207884499,0.6910308171908403,0.9047389898000413,0.671710588471293,0.66345602500594,0.7899245670803561,0.6011841986410974,0.53738587932522,0.49668784860656984,0.5039289371204472,0.5251542887553233,0.5384988380907498,0.5762266446891553,0.6706365395993962,0.7792748443329025,0.7406975618004484,0.6406320920679716,0.5719775163290186,0.5435678300331747,0.48491787992179003,0.453932459447924,0.458193168803169,0.5258120668004784,0.5337122186378497,0.5216457450994745,0.5869654813158494,0.5467557587917004,0.5936904601389347,0.5596605610481576,0.7080006657908856,0.59600174793049,0.5971677509474221,0.7909269921397143,0.5858810915023367,0.6925514581748544,0.5411769184088959,0.7476342552118196,0.7504347099749025,0.654229186493153,0.5767130617116382,0.559924320719979,0.5949445643927844,0.5369435702996169,0.5786124854439388,0.5743527607935799,0.5782296209537338,0.6182515562450279,0.6845962087738684,1.056800941440546,1.6110489471247837,1.192098104717959,0.8220850320155134,0.6808733571337212,0.6764946236331685,0.6684398955361647,0.6674565143356888,0.5934128317222741,0.5912744762135775,0.5681399681410172,0.6008396377079994,0.6370148339157694,0.6268113272327771,0.6465377472057436,0.7446002422321831,0.8190818271616914,0.8841480369709505,0.6498281254221393,0.5788493176653464,0.5973003248507135,0.623350229533899,0.5980166477664133,0.6560689089866699,0.6550915581381407,0.8889694888871413,0.650845461872654,0.7409651388698847,0.5943348546571405,0.6151080400270241,0.5997056790128569,0.5948714216319553,0.6183625497037121,0.7034357167894734,0.7879629394450095,1.2548841612742347,1.5350878727199637,0.9898979099039722,1.3656027921201708,1.7476900703184886,1.1433521449028972,0.8818716756042406,0.6320953733865698,0.6098777236232017,0.8219717716820674,0.5830420001347729,0.570031323614396,0.6207006804975022,0.6646462634586078,0.7169656862473119,0.6372295048368363,0.6370655934332683,0.7295889854827342,0.7097687887316341,0.6712952722106932,0.7170689251533673,0.8077663831336439,0.7490531800831836,0.7877887571676045,0.8717294959939685,0.8694322091573579,0.9005982022293356,0.933591644387017,0.9107047135471689,1.013528303460028,0.9503075321379708,0.8302230637313391,0.8838850683204994,0.892452578310345,2.5016701821075635,1.1321689339347292,1.637454776979521,0.9553200594429614,0.9866260597771576,1.0069929263112225,1.04693510335911,0.9564563463376616,0.7882211832486526,0.9425667111965941,0.8738031822047767,1.0037899828016672,0.7794785089159664,1.0575542930917616,0.731068793379038,0.7611707139334086,0.8252921018931288,0.641742793003113,0.7099891342681943,0.7959124937929065,0.8968341596444127,0.9948523042433818,1.2329615087232952,1.0904690169676563,0.9013165909473128,1.0109138548820793,1.1753969034694536,0.9585912953644271,0.9124355727775934,1.1079022176149398,1.1166656573492337,0.931712976156947,1.0448787763189606,1.1627246238307654,1.0450245415404817,0.9790981791976088,1.0663729847351535,0.9684231606453838,0.9628439103972692,0.9046571718902486,0.8998423990498874,0.9242667778655731,0.8287167419605777,0.8534253540740305,0.833262124186856,0.8300287861643915,0.7300575009035569,0.7734188985001045,0.8636856434687824,0.8007849042020709,0.7459489325323085,0.8030806914875988,1.041575645654497,0.9103704076606964,0.8636287993620905,0.9556984203808842,1.126669668226342,1.2450386996691938,0.9321501197078378,0.8163662534651018,0.7703577229234934,0.967788459093887,0.8069745361321664,0.8135073623770223,0.7885534299999277,0.6766802518589832,0.5867685606709502,0.5586058879074718,0.5355054120769274,0.5807678575822958,0.7036426337226686,0.8192386780727974,0.9662787910089716,0.6472724878266349,0.8327450872433576,0.8905569003989228,0.6488407822526575,0.7552212934190076,1.0840660980950745,1.0360449953332345,1.372452106526416,1.7580746040098891,3.099620625417116],[0.9030098571810963,0.7821686565084698,0.847524558557856,0.803941297942845,0.7982275052929874,0.8219825082122861,0.8742135903286834,0.973460394448342,0.9372328481298291,0.9421317822732503,1.0045462304205603,1.1715114590560216,1.0812499713096102,0.99318853292172,1.1914431077691277,1.1975035381756864,1.1429249661403154,1.1863789781334242,1.1885747350521274,1.205773985970369,1.2419664745056367,1.2400594519947463,1.368729462574711,1.3878020576307888,1.1812131966416555,1.1319709883042108,1.0983159666041193,1.084350466731605,1.143086957618846,1.1891701609804612,1.2889040319256084,1.2829469235696414,1.4011790649495477,1.3475325233495656,1.3080144558021578,1.2621257344363823,1.2340886252316217,1.18017544512603,1.1361474400863238,1.1637445174582342,1.1012518121091872,1.188475136373886,1.2336840910360967,1.1635875046541782,1.9232847856965218,2.0863922658751095,2.8361877394499424,1.4901722252872422,2.1887345059260808,1.7049873856939928,1.9283457714343524,2.0721459926293444,2.525836541498635,2.4976404757600537,2.0193237055799593,1.402854721840533,1.9903778845778468,1.6954892935413663,1.6703483617301453,1.3840004501909868,1.547075466941033,1.4207006232780952,1.4011488954858229,1.705991868781426,1.3831547441259353,1.2963153053056689,1.4775237120596043,1.3385368766615497,1.3763664328894905,1.3021145175821194,1.4781178539616373,1.8347430857151394,1.7164897432490882,1.7326234068501167,1.3438456418151,1.7710574358163726,1.3191977585318804,1.3680792382330098,1.3046890999435432,1.3285350503793534,1.330497053074946,1.2532271564602648,1.573982054446087,1.3898798726532602,1.213515104803527,1.1933166390415888,1.213144520221988,1.3199692928051312,1.2784606819277327,1.3273343849106907,1.3139639730500554,1.432676370081748,1.3733907911802963,1.3669448959788375,1.2948126143060565,1.3266576654596012,1.336281856022653,1.3169400416606483,1.3235973622503938,1.4062503224801906,1.3423225734078545,1.3677220771954564,1.2956044649461314,1.268462424413218,1.3323822826589922,1.167561984747049,1.2909421102207832,1.1325096037313738,1.0863489484149922,1.1404481545136589,1.023028841089073,1.02077984464904,0.9573862076594043,0.9449237167639808,0.9768375464042013,0.9781035516370951,1.0229915484762668,0.9825902164811394,1.183053996262474,1.144439836612135,1.0505303278380278,0.983992898383632,0.9115389998721443,0.8706825517228198,0.8318458029896824,0.8399844253744132,0.8833975388581231,0.9379842893570518,0.9356135895536744,1.0515062743683012,0.9635180095531262,1.0386143557850316,1.008189287081772,1.163445244089471,1.0010262954960907,0.9761853589172715,0.9985541069136008,0.8961798047163694,0.9595859356044374,0.9475156148779116,1.1060032221233553,1.1149937254917,1.0942260973305753,1.0580855925244987,1.0497014412872674,1.070964459053611,1.0159944934686882,1.0424807212447453,1.0664773527642895,1.06257876323923,1.106359396692774,1.1486187847546985,1.3852196898898068,1.8715822930564663,1.5284647574578611,1.3023685638019735,1.244709347474032,1.2187036360164385,1.2168963094747955,1.1564836567173065,1.0854151681250108,1.123619854330809,1.0140579575293343,1.085376704281486,1.0939297888308015,0.9580504397934688,0.9950144491835449,1.008226984487252,1.0161960055264851,1.036033264119396,0.9543420437876817,0.9539274899858596,1.0531236742689718,1.1204940508771235,1.1311857430453691,1.1893642642391657,1.1937830530562954,1.30047570828714,1.1803504631993436,1.2316993614184306,1.1404062953347411,1.1319356282471065,1.117522173685656,1.0903883971792951,1.084651311553402,1.1619846106707172,1.2316603524961987,1.6982534747008053,1.6900920645316122,1.4559828412415186,1.5886261635355925,1.902241995347029,1.3430442311388562,1.161009199575122,1.0573319382488446,1.041546940761483,1.0986047872366358,0.9763539497739353,0.9226201003106131,0.9788479680706182,1.023640001389969,1.0917807399055948,1.0044793408807144,0.9570477667473165,1.075610362008736,1.0463100407817223,0.9116675780015359,0.991982144875018,1.1378934987311307,1.0003024803547014,0.9853282888157453,1.1090417219438167,1.1024890801291611,1.0316493166927891,1.084360840201193,1.024542882134838,1.1996377433530794,1.07128322837963,1.024271180224242,1.1124081072848948,1.1304057048307556,2.626259011740459,1.2861406906332342,1.777393030295225,1.3064717175927458,1.415947412258886,1.4584896807298178,1.4505122785554716,1.3513267525735557,1.1520668297731722,1.2750927053565173,1.195475518433049,1.228722540786979,1.0484893709052363,1.2477054787442328,1.0451912034256292,1.0882988137137086,1.1203551494758799,0.9578488063407296,1.07216104415201,1.1854119558206382,1.2757206630205238,1.401274340655834,1.6346279405417994,1.5464479028206004,1.3345251785672125,1.4290652058292428,1.602359931221685,1.3861732697867517,1.2984325011989821,1.485347616295421,1.481870330476375,1.2749031667229263,1.4125894717396887,1.5215218579232608,1.3596842508743985,1.295813853559695,1.3882837546041156,1.289656267168547,1.3368793624493702,1.2993467754766497,1.3104258235151682,1.2694935224736508,1.1497254843917282,1.1842361953799942,1.157547659384246,1.1214727678352459,1.021825415163135,1.098641050368843,1.0975959386960916,1.0060798989935877,0.9918095637855981,1.0455681650798803,1.1971394915552498,1.0358716571625326,0.9989644448262641,1.0822010069711767,1.2255558570142941,1.384436768563073,1.0164746720447388,0.9493105031828365,0.9151434879665445,1.069422488682308,0.9182118074952789,0.9239318133057457,0.9406634041062992,0.8996223401326315,0.8547289673655634,0.9049397073661744,0.8895366057298983,0.9043882938409387,1.0766428783244877,1.1596534222884827,1.257068262210291,1.0095224247269872,1.1014289595954236,1.1721709096035755,0.9965941402244911,0.983727827648839,1.277430460453174,1.2896421520242392,1.5525524676968254,1.9040691755964765,3.0330461211046944],[0.6172288267328252,0.48211602838583567,0.46290085205270237,0.44737441865282435,0.3971900476161722,0.42800235371914747,0.3548855445372752,0.41889943448689226,0.36651411464722,0.35333074612733356,0.4285961660437219,0.5566816140892746,0.45504695522763267,0.4141185325598564,0.612086440785568,0.5922337976918978,0.5339520412137925,0.6301383722717012,0.6952934864568554,0.663068150373633,0.7586752864531383,0.7622150332727476,0.9144206872185461,0.9940170790556342,0.7397494376902205,0.7009782535483869,0.5904331142617659,0.5506935109314242,0.5606234506358393,0.5743980298046483,0.7260351020127327,0.6801715535277276,0.8491334823487242,0.81232769730873,0.7227053617510154,0.6604441174071425,0.637869683057047,0.6002940337455757,0.5448288817224255,0.5767320842318606,0.6500251825010911,0.6700121371650315,0.6730617074978547,0.6278885837338989,1.5765233747619072,1.8379223417768884,2.5080435939180643,1.0032828293945941,2.2007160596674664,1.7004231721517047,1.7362000794196861,2.062930596534723,2.3887976721796,2.4207983286937886,1.7306280322038168,1.0988028510080388,1.8027022163887523,1.2973501835311976,1.308350173607129,1.0301242958726324,1.0577428769626582,0.9381342839518844,0.8577457991185478,1.2696679273000926,0.8520580513804936,0.7809736423700695,0.9934016329548397,0.8252740369414284,0.9641787611637417,0.8300519469088684,1.086562430541752,1.4838426767937505,1.2931067711598105,1.2713911273313439,0.8442482969892553,1.502407823388986,0.7935083881468384,0.8512155175650443,0.7672440067001564,0.768118073339816,0.7447666973832483,0.714068666500217,1.3183256823183085,0.8081904742659004,0.6893639838393121,0.6235798997952081,0.6477455941214019,0.7033586205459719,0.7062563638840577,0.7976688301447931,0.7960264745422168,1.001106612346052,0.8658773646486306,0.8469350610297367,0.7465674258485152,0.8238224376689607,0.7968080780594946,0.7423998329168471,0.704392438523816,0.8964198984029174,0.7475139379307716,0.7836690878773126,0.6747678601173924,0.6654473841064354,0.7406263286866142,0.6038475718797252,0.8213917144497246,0.5666761767753873,0.5811572942212342,0.7083226595453095,0.5020663444330715,0.42649249399445094,0.3945404571012032,0.38599655951696277,0.4234724400278269,0.43235787552660176,0.4932443798922701,0.5523170060320226,0.7410888685848845,0.6620401132855146,0.5671173387284884,0.48268937243120863,0.4616442019561785,0.3831058773726408,0.3287604416206409,0.34928199414512723,0.4676364894525973,0.40196377804176353,0.4064170760698077,0.48673702074018255,0.42923085284277007,0.4922583030574364,0.43688541670996656,0.5958660625285677,0.4651843888391942,0.47678253225839656,0.7213834916472753,0.44474138082345266,0.603132351605508,0.4750800648570579,0.7473518704762675,0.7505284580889419,0.6127566740677849,0.5402517697431107,0.47304842321902013,0.4966704114840918,0.4380612472657366,0.4693352690645683,0.4727438738787294,0.4848417453784618,0.5283038700798074,0.6055462408741508,1.0200512280381913,1.5271289044601923,1.1660899845392094,0.7762510143144661,0.625915155302997,0.6029222068547796,0.5857265912463184,0.5820471898700613,0.48120189164196225,0.5003514196996504,0.4611861700737292,0.4880622994814897,0.5069914516937711,0.5503782062188921,0.5515869914100179,0.6961968847932514,0.7929671865376836,0.8307331298994735,0.5467880388998133,0.4484582962316379,0.47419233023722557,0.5101623806491856,0.49701769691249664,0.5780007521504068,0.586077842172999,0.8175714090361379,0.5793089052492728,0.6442405390677102,0.4853357927045527,0.5024957100134477,0.4811672773682768,0.4865298369415922,0.5226103984854529,0.6296647349162423,0.7372095152896433,1.2186208429748602,1.5799357627137776,1.0111216798901306,1.3544791534268545,1.717903439031134,1.1099092050837145,0.8323811209389139,0.5341418418448977,0.5158845058085268,0.7467237641296526,0.47847617659798986,0.48452967475811554,0.5362646507686734,0.5796072283607194,0.6370336885624092,0.5486047424852817,0.547110350376514,0.6482959437007234,0.6249467890076905,0.6010046767541146,0.6315686138304161,0.7272433119726839,0.6539780752899061,0.7019193999038641,0.7893460344733344,0.7725920134311255,0.8061053917605401,0.857511361213432,0.8279258771343613,0.9684920118841635,0.8855846274424937,0.745081701172745,0.8147156805329587,0.8447779799272972,2.377510631244307,1.1654958659551808,1.5695806448227727,0.8899896690731312,0.9147253438894827,0.9548191023641381,0.9578717789055778,0.8999665223662193,0.7088060733353112,0.87613800983376,0.7776010701280003,0.930331449850048,0.6871213647396168,0.9418951143389289,0.6982423157697314,0.7023242072369276,0.7541418123141012,0.5439490637035506,0.6275452747259446,0.7206545270811283,0.8297994076893419,0.9319530215246442,1.1652716797939737,1.0360694508929638,0.8575431604815013,0.9559744633289544,1.1350440491512028,0.9034327436496667,0.8452598485976912,1.058345895790819,1.0738823103180883,0.8655933713252926,0.9904198620360923,1.1118275905388186,0.9853390103495022,0.9116314935282074,1.0005875258223784,0.8980859025293987,0.8996413814083398,0.842814067150545,0.8355006883853594,0.8517838206352015,0.7444038377357851,0.7751835989830477,0.7645159369991937,0.7580806384016141,0.6503121603778732,0.6969106603973639,0.8048209058061694,0.7316340353078992,0.6821504095439298,0.7427260029885571,1.0240164506344223,0.8439120302514649,0.8124755731138302,0.9175056390347474,1.0474436251142754,1.265512850227749,0.8744279435557746,0.7401144443027157,0.6710671100581388,0.8911249340548386,0.74341199461638,0.7795822324651742,0.7694109961226939,0.6387758194075772,0.5033282122554669,0.46686623505238983,0.4352916135654605,0.4939630273236432,0.5920922150590902,0.6959334123074881,0.8916453934250038,0.5466783816842897,0.722348636463584,0.7634545054245263,0.5429153135009929,0.6161279040208701,0.8948235817039883,0.9206098441889424,1.2753645700621037,1.6248134028781434,2.866472416949292],[0.5924478984307116,0.4524767700366103,0.4107370764204483,0.41095354145019564,0.3859399114681294,0.41338086487360354,0.35752929400670597,0.41197544669295866,0.37277780663848115,0.3644093382508226,0.4268982893609535,0.5521325628485316,0.4524690537020285,0.41982256786568345,0.5980890419930632,0.5803131271182861,0.5337260972111317,0.6448968447649831,0.7572028392912509,0.7011504334369144,0.8181515644482454,0.8187660518441897,1.0072848541028778,1.1426060177076736,0.8207084826799291,0.7881168910026923,0.6458381934254569,0.5738642826282454,0.5744535091830061,0.5661748682205435,0.7092895739324094,0.6587125994167174,0.8414940602040094,0.8036751083226424,0.7017992773486983,0.6604268677854356,0.6224963011344108,0.6126918705449328,0.5747625843853317,0.5960168818549125,0.6886940408623363,0.7236133882775213,0.7100158338528374,0.689624847314436,1.6939391285926717,1.9676687606367953,2.754413445986896,1.1667302872591718,2.1414196633812397,1.6336499806071756,1.7648814194651417,1.99625186601872,2.294638016592614,2.2666748878637644,1.7256148893439394,1.1054891543764318,1.7606334727075812,1.2745265991298902,1.277035578274161,1.099181223400125,1.0995357707651259,0.9756656670206432,0.8883750295517417,1.3248437032178564,0.9234607678961556,0.8094002801732089,1.0413761628950353,0.8485410862343384,1.0143439574268474,0.8337468841843321,1.1209638714055137,1.4780709493237665,1.2267008416343457,1.308221121045087,0.8495134229246307,1.5171585239718317,0.8118462249642477,0.856299446552802,0.7715842578713833,0.7807206145737744,0.7364398612620723,0.6968809588424117,1.2702284939149482,0.7716480248276996,0.7039971601040297,0.6063045294205065,0.6438313918492063,0.688296155687027,0.7144447787886357,0.7835785103286078,0.8003013438092459,1.0038534448923486,0.8545530593827065,0.8308793558343774,0.7268326832031351,0.7970404455748207,0.7545306835541112,0.7232230103085393,0.6881284233415625,0.8824121284742784,0.7279294926430354,0.7520241094007697,0.6434359034768619,0.6435904273031011,0.7299648230455339,0.5677066722323353,0.7722264656373432,0.5094951655312399,0.5207963654061417,0.6803930838515051,0.4559300098018855,0.40786160099851376,0.3830715277478687,0.39798194923557273,0.42394085590428027,0.4499968777792427,0.5203307022350029,0.5807668644344782,0.8040048474464596,0.6897369263592197,0.6066046892650666,0.5210923227427323,0.5021639011073066,0.4104886377005767,0.36060202856025647,0.3679774651399474,0.4542088504300292,0.37808956260004006,0.3838192191828958,0.4555146732866064,0.4064408183153797,0.4541946775577275,0.4110743907445076,0.5538499350899968,0.44170807584444216,0.4560617657205472,0.7180382491383336,0.4615084530876654,0.6076753505140156,0.5000724876698109,0.8044406797147865,0.8679528672778942,0.6862079015929592,0.5733073479977522,0.4990847651919644,0.49788520004262915,0.4401118458554181,0.4450793454855064,0.4575821982546939,0.46334533157911045,0.5011419528521059,0.5925061549614232,0.9947080443520075,1.5523630640762343,1.1922811548198065,0.758977667739738,0.6064408184709489,0.5757995605103408,0.5630495678333909,0.5399960211360229,0.4724782074864871,0.47552053033642044,0.4511530878513487,0.486701903026473,0.5165942567769342,0.5737639776280767,0.5587469432344446,0.7241341572009019,0.8185166553392682,0.8566869049366086,0.5498057259884203,0.45557215243149957,0.46946459387753886,0.4949443214994758,0.47359273085169246,0.5573500681159338,0.5619354730684267,0.7908956835453624,0.5429909422559066,0.6133145836358254,0.4607419813378725,0.4783768561069151,0.4530755522742053,0.46339172147687185,0.5150488363894755,0.6661245015526209,0.7964398013280455,1.3508258943924623,1.6197370133615663,1.0705143492729396,1.4269783590116336,1.824103193543086,1.1665476973428581,0.842635067373573,0.5178753484850882,0.5031401891653111,0.7091152518273894,0.44124807658779336,0.46343739912837406,0.5055594817769458,0.5318719757254943,0.5925463345087666,0.5079439502798901,0.5048254202462668,0.593604513014452,0.5790137264008944,0.5674864252374147,0.5731660698474013,0.6762173916662758,0.602984580094532,0.6450227539979747,0.72778888739936,0.7220869372949474,0.7480248669982315,0.7993514316324465,0.7837420926621895,0.9237896122576402,0.8379267577469374,0.6875784708195475,0.7546895634365983,0.794480490933426,2.316822588135319,1.1292019749973534,1.5430087214625137,0.8313854869889871,0.863301787980311,0.9072804220356165,0.8972431331069189,0.8394504525217822,0.6461026688104169,0.8455956383781899,0.7356528165964407,0.8775173752906549,0.6436614983909538,0.9068319685905639,0.6711974415760139,0.653295638394032,0.732819034700637,0.5087837847591891,0.573267056720419,0.6743214062613145,0.7846605288615003,0.8932359109167871,1.120771118067396,1.001038774701249,0.8154874239652367,0.9061793676370122,1.1025336944882347,0.8619430697997553,0.8008106897828201,1.022062037698288,1.0442174031080667,0.8272300750041439,0.9441211857458044,1.074526831906504,0.9449124834753215,0.862646946073984,0.9534632006721518,0.8432856245520021,0.8448284016608818,0.7860678707657419,0.7738854117263041,0.7893903554723953,0.6860717412732569,0.7147292526714539,0.6958252702131521,0.6939577153231596,0.5898247189143606,0.6290724744310331,0.7494523007223715,0.6775134753731221,0.6344994177131359,0.6863126614958306,0.9657798120963347,0.8018046370351358,0.7688647272315384,0.8792992438118712,1.020186031946575,1.2484725914147545,0.8249686534959119,0.6812247794844699,0.6018030076215349,0.8307971149485794,0.6855261485384747,0.7306889040631157,0.7528814404545312,0.6106879682042083,0.4882708821804358,0.4500450745177108,0.430581820379708,0.4590665261055174,0.5465058687457682,0.6491671465321873,0.8962185395192976,0.5060992044220101,0.6590901464099413,0.7233776298299913,0.5162539233607152,0.5644024525933522,0.8585385902123756,0.8893745704589093,1.2496725750314006,1.6685824779285252,2.99852968825701],[0.6259903194925477,0.4842243644495689,0.4245516274962205,0.42108918470228246,0.41457733510350514,0.4304019745524758,0.3743170026398305,0.4117500650134977,0.3694372366570775,0.3429636367578479,0.3911434297956195,0.523506042600571,0.40503667214210637,0.3820244400758431,0.5606511877191684,0.5413641310924441,0.4819908515356131,0.5839010467309271,0.6935595696602602,0.6415528133770549,0.7538854232971774,0.7661457948616184,0.928737738108037,1.0685099745897957,0.7664737808365357,0.7319951858339512,0.593211497006527,0.5298047803124947,0.5143864059253513,0.5080023749332018,0.6608180144595955,0.6012494716996483,0.7962027178857811,0.7321510292810285,0.635843056791689,0.5870744863892025,0.5502308384721515,0.537945727417187,0.5007213502286265,0.5205629266986994,0.6444620871100719,0.6653655673413353,0.6501454929759201,0.6227079532622222,1.6131072524844254,1.9053225365346276,2.6920238607730385,1.0831372604111966,2.1299386114266925,1.6730318908357038,1.7148363686647647,2.019225610346324,2.2968312062008964,2.2702570483814264,1.6192386514526003,1.0322630810257474,1.7596906667660352,1.1605900049615072,1.2567449341177772,1.0649561902779774,1.0446514525381763,0.8706243790350922,0.7905430812713524,1.2202323722457553,0.8351973440620358,0.7395194344713433,0.9633034166950214,0.7782338020604933,0.9588755223665776,0.7749262026840644,1.0355962341982705,1.3624838310230538,1.1757064458281337,1.2236873693622152,0.7801341576482644,1.4606050894223994,0.7282404515635634,0.77109625071091,0.6842312397869628,0.6906103231629694,0.6699943095593068,0.6394893865952571,1.3007939078380553,0.7104686039665903,0.6421419694607923,0.5453876580906678,0.5710935751793678,0.6373128071708546,0.6369119324365661,0.7061149549616145,0.7222777758698701,0.9438893814411067,0.7948119203248214,0.7691395954192644,0.6721055359895559,0.7559728951517163,0.7298811237596698,0.6790001181080312,0.646380350313223,0.8610419102767879,0.6714154903248448,0.7112462206796015,0.5985818057075698,0.6072994039300628,0.6420099497027515,0.5481956021154797,0.7603219905441145,0.49606321595571046,0.5107601595697899,0.6759434336960756,0.4485396796483142,0.40186118439465895,0.39251358371267,0.40731411854279587,0.4330073418927448,0.4474969165014432,0.5095887333579288,0.5694176470312812,0.7786670966822399,0.6607722362703148,0.5821154292100597,0.5186395196024449,0.49733808356514947,0.40161623357805526,0.35709944506659774,0.3668636733953025,0.4847433649175311,0.3664036688230544,0.3785972131017988,0.4535391964393174,0.41045226112732935,0.4533812777934647,0.40363737316378895,0.5378221228916688,0.4329202673609824,0.4557092397349009,0.71897295767558,0.46311278217157087,0.6099834917534634,0.5074318644304656,0.8222652724306286,0.8529062266642429,0.6726017644482627,0.5797964460108141,0.47084673794438203,0.4611834171382343,0.42239552568614785,0.4215738217128021,0.4249197555703904,0.4504849849938938,0.5013860296963033,0.588732688112423,1.0010044000028622,1.5303159136600542,1.199877439338267,0.7348128917923233,0.5789564030834975,0.5460192613620167,0.5099645096286908,0.5120015299869648,0.4284235476109737,0.4400385300972673,0.42461564504068017,0.4453798752809991,0.47886651923191154,0.583666784654161,0.5558885701783622,0.7449359506326192,0.8523066471976738,0.8571727613359679,0.5413845489772807,0.44649006736738717,0.445054402930615,0.44580232301296685,0.4359744149550658,0.5281216410792702,0.5340987548901226,0.7661662042098233,0.5189419667888607,0.5673387023533975,0.42929987900218736,0.4473168248054792,0.432640588902389,0.4392514913635198,0.4883899432899875,0.6474462540416095,0.7766697354045294,1.2874317761274976,1.663491949911044,1.0983960344204626,1.4309855764909802,1.7965035616734746,1.1837333033974224,0.8773654628537044,0.5260423060165962,0.5089601732280464,0.6826796197105174,0.4489803742359759,0.4715598738467503,0.5112538442300076,0.5179060310783077,0.5736107175940484,0.5047205224308858,0.5100089036439784,0.5872841960955149,0.5718621193057486,0.5813315822996418,0.5781108888580101,0.6624542830026207,0.6046330626466597,0.6543332872513113,0.7281976402726786,0.7210194519264533,0.7503091219384951,0.8103694480622601,0.805039752032267,0.9530122941214726,0.8621735106928279,0.7115460665657681,0.7687006502795944,0.8263804781475244,2.223814890647507,1.1666156657028692,1.535282329911763,0.797676869818193,0.8066096672486716,0.8442210338605584,0.8116489434183642,0.8172230869518148,0.6293633177047383,0.8240214032151458,0.7245220795460178,0.8973251373167913,0.6567523657982198,0.8798016367921372,0.7164778188749428,0.6721983772910199,0.7586121851818476,0.5219274125715162,0.5453525073275572,0.6159528021421302,0.7552082622293197,0.8592401563082265,1.0533791202855702,0.9368574103210242,0.7732490256828166,0.8413244672887287,1.0341672700616764,0.8237799121695922,0.752851638613792,0.9691895508616536,1.0020081850747347,0.7998661914832762,0.9007268979365465,1.0222331450344684,0.9195604924987767,0.8397568117186074,0.9209803979476623,0.8155292425232507,0.8046485769864214,0.7460586991417218,0.7283370012524288,0.768444015519995,0.6631580889240608,0.6861527495289615,0.6839407047402534,0.6926699264007492,0.5930168515472828,0.6215999459673253,0.7839369939876064,0.703256950386378,0.6478080356576635,0.7128265225231095,0.9839103222041303,0.8240164581382213,0.7930189543404846,0.9038216276365413,1.0208726423217522,1.2981413481839685,0.8460464333577186,0.688470061302234,0.6042084960621431,0.8359242218159352,0.703837354496402,0.75343743660796,0.7847481523014347,0.6441227305911953,0.5146938339084762,0.45891294801035293,0.43373752014094014,0.4588993516466328,0.5189898717577679,0.6044168192523751,0.864894757376305,0.4885849238162134,0.6320520805635911,0.6808280051841354,0.5053507324691728,0.5337413596997627,0.7829343140124302,0.8443747932725679,1.1985772576004565,1.6026552697744871,2.8202407265351277],[0.7149388226165057,0.5821533438768027,0.500439334950605,0.5017839758064762,0.4859088034024423,0.48558645671494405,0.4248661437331468,0.4574834629552905,0.41192892483825644,0.37123314355933656,0.4013920151422501,0.5116099012468674,0.401314600258361,0.4221543287088321,0.5830028082079918,0.5477629352720145,0.5078420057587709,0.5883183444286079,0.6903266118587331,0.6308322253746654,0.7290918625569458,0.7663635721232444,0.9082510923142872,1.058915540986787,0.7833248257410688,0.7381514989245511,0.6211650428038524,0.549864727240505,0.5224397101665189,0.5304284329122215,0.6536721410812537,0.5990564642162809,0.7624855248250282,0.7051654928558448,0.6164683048240476,0.5836803455292289,0.5544728357752552,0.5587590609720501,0.5397189131298622,0.535565971798399,0.6954157886797336,0.680798025255242,0.6587696591983293,0.657793211585713,1.5874303723050993,1.8697504198830148,2.6295206450558677,1.0536421224395627,2.0938521453741425,1.705127582492482,1.6713680242953837,2.018010495998266,2.312315331269394,2.264201075747871,1.602073270922444,1.0025498659870058,1.7517797985740458,1.0800893171778658,1.2735725718831623,1.0638529066151035,1.0196535653380177,0.8355981949738907,0.7502095272301907,1.1662752486955852,0.8058918861613019,0.7159234170208412,0.923105771612154,0.7553623886313355,0.9571719254699953,0.7632073970082944,1.0216032111980053,1.3177764327929773,1.1613930181248364,1.181601606676837,0.7668135230579243,1.4168935188051344,0.6922501659372808,0.7386848572563367,0.6494734642388662,0.6619063294458871,0.6490275150334777,0.6609984579539558,1.305911660805633,0.6816051811630248,0.6408160983302068,0.5566417299537654,0.5863713732278099,0.6315351028830716,0.6256194405394252,0.6752503055143577,0.697518555220981,0.9239688648051734,0.7695466443596984,0.7421689981832873,0.6614309494524173,0.7474730056777454,0.7368330006965687,0.6662462473530731,0.6363913089459223,0.8642078522362612,0.6543365968575747,0.7175295462668224,0.591397547266226,0.6230224372507924,0.6293368822444684,0.5596226836044295,0.7717665297371437,0.533816609648998,0.5518985291062185,0.668705675636571,0.472173494297746,0.43433066048782043,0.43250525994431405,0.4447279365174452,0.4788150134580322,0.4943198322942207,0.5529284707521861,0.594244972913945,0.7735038400748229,0.6633786943878456,0.6089054558410982,0.5423286476546715,0.554700791064112,0.4489906784568608,0.41895222945996635,0.44895249483004945,0.5710919651688606,0.4332210522940837,0.43826021009518235,0.4845594233393236,0.4466398704029086,0.48003847892330004,0.43343645912222056,0.5748062933301802,0.4582148829942001,0.48366747289314077,0.7394600799363694,0.5037783550452684,0.6370305411133258,0.5692518667067716,0.8746375062169505,0.8693082124249731,0.7270105577739986,0.6430564706155475,0.512853189312045,0.48774349095176867,0.4593920528742952,0.4634597355039662,0.46691694562319014,0.4741052407494277,0.5102190708530588,0.5944652010680468,1.0439648827923762,1.5314132022277864,1.19635322334799,0.7416122279880827,0.5694759214147839,0.5566642184594369,0.5158274800918811,0.5431673110502088,0.45776225019565575,0.46545638132137757,0.4583234740684108,0.4691284394792124,0.4866319342173454,0.6108395728379041,0.5485844450659152,0.7323765514056202,0.8507068320760586,0.8232134771268428,0.552063756762686,0.47582562567212977,0.47138362735647005,0.4619966089722399,0.4655342710967492,0.552470573117023,0.5531895211826627,0.7939603627390904,0.5398497856481843,0.5667990787930594,0.47107801055174514,0.4691649568013672,0.4522794343363542,0.46776267893467566,0.504249784997697,0.6779791792934575,0.8332272967113871,1.2919440562418998,1.7090035300122097,1.1524298220594662,1.3824681486519734,1.7032815288691594,1.1480753996077033,0.8693092504440141,0.539911515166099,0.5667748556979135,0.6896417070012428,0.48638279175435883,0.5346256658053897,0.5447882050710103,0.5595413178115677,0.5819614592787695,0.5371472803574582,0.569423644578633,0.628169570986716,0.6139809712543537,0.6462730722388649,0.6438453784058286,0.6997619549541395,0.6493449220980799,0.7111131706842796,0.7700282093938823,0.7476467703923557,0.7968423358857533,0.8711909416235859,0.8651624163052516,1.016694147629675,0.9493369851561176,0.786727804813068,0.8332986608710141,0.9064194288024315,2.1639678168232552,1.2461477605129105,1.5340124014273988,0.8197966315191454,0.8299937764843854,0.8698729335715243,0.8251304153345448,0.8447987175103926,0.6466758818621707,0.8576857499181021,0.7266000276731835,0.8900201377512298,0.6856328692538411,0.8781836618235108,0.7836605316095998,0.7519497281617396,0.8241604116644274,0.5693684470379404,0.5587923986935345,0.6217958684891707,0.7571989970209874,0.8593156250570566,1.0348328198147894,0.915006892086285,0.7789232693052284,0.8432939638332905,0.992109439353354,0.8181146817837581,0.7627254829412823,0.9610864260481231,0.9912193149087042,0.8121711931799414,0.9074076850516044,1.023035084167897,0.9300626645692335,0.8614774536029355,0.9385850471235293,0.8412814986349819,0.8202940137302571,0.7608080882873575,0.7538525815339625,0.8091975061238171,0.6938972847676065,0.7040824992941541,0.7275599080197545,0.7422482478355759,0.6519882761438267,0.6703809666567504,0.8671343659600866,0.7770525372729916,0.7164814088265127,0.7963531127444483,1.0545426509650697,0.8932172903105612,0.8586725473803284,0.9983520333801904,1.0703486360984595,1.4136116842795954,0.9135499872017165,0.7633901139638833,0.6556205111609692,0.864900084659598,0.7662050993302968,0.8305564100571157,0.8144625466987481,0.6950470796685491,0.5647761357496278,0.5319699083005193,0.5102003500392768,0.5150805716307657,0.5114936748907889,0.5924209508311267,0.8387105427721454,0.4900247380311998,0.625609586248203,0.6634391036239976,0.5135089926158052,0.5231616036334419,0.6994815247171298,0.8264206251452735,1.1398230857934397,1.5020571558027282,2.5804484924878412],[0.8479893145959749,0.6777598960887203,0.5322353718907594,0.5135847796060343,0.4847343363317097,0.45266068654326763,0.37923921088128826,0.40036726869874023,0.386947332174569,0.3877540681863169,0.45072749728860656,0.5457055267091695,0.44888848084855504,0.4750871543668397,0.6408859784311813,0.5937290490692166,0.5665614308100563,0.6809189895676797,0.7480142380581518,0.711581877536546,0.8128568585006287,0.8128987154525483,0.9857459149130571,1.133080609395139,0.8131658405509137,0.770738386293585,0.6542535816095949,0.5727839529794616,0.5800112143667163,0.5651446161869683,0.7477364306193567,0.6214750483190563,0.8348355368615307,0.775673693442117,0.6708596394223408,0.6576696813633919,0.5891958848995513,0.5934421245116785,0.5579916940667456,0.5548888916169601,0.6894554497688054,0.6975818692473323,0.6867939774099604,0.6971733083800231,1.7104918145288126,2.028053423523922,2.810826001796999,1.1766119719304238,2.1386190064214587,1.7945575936323404,1.8169074694536762,2.129347890285493,2.424309088909708,2.366211656864756,1.6219382783816048,1.1021691037015993,1.9385764074484377,1.1460883031583344,1.1898378076113758,1.298898145357958,1.1803529144539602,0.9917513844129926,0.8777624459281589,1.288988277716452,0.9682403817120782,0.8400430462997505,1.0311609033727136,0.8786633304723357,1.060821170621175,0.9066178181989346,1.0686920748236652,1.3368013432500843,1.1671361225127483,1.2438932739177933,0.901806656277212,1.528389822953401,0.8293633930105666,0.836608371192324,0.7499451193177109,0.7499032984907579,0.7155347561841812,0.652901457493725,1.27540868387574,0.6474478061485499,0.6668682191321758,0.5633490219784867,0.6373407925722164,0.6678958468344035,0.706031739520065,0.7667258333660418,0.8147526087317329,1.0252765569973037,0.9068501189100662,0.8481080213572594,0.7514770077920535,0.8595214168952667,0.8011956945958724,0.7281847546574799,0.661525352555416,0.8340503619943248,0.6599215809353699,0.6338195730697823,0.5409433785325407,0.5419105581842955,0.583900391393066,0.5049479170724662,0.6850351301167951,0.4708800841297324,0.4935252134629887,0.602714917687764,0.4279491657915874,0.39957025809055885,0.393098851002643,0.43353280092691354,0.47707974805070213,0.48365321185963855,0.5536910884364957,0.6203652726828821,0.806622087008442,0.7034854577998925,0.6295087853626893,0.5748975283701667,0.5455881326290677,0.4427084632893093,0.39378275386080747,0.4224987771595249,0.532511774649711,0.399161868908519,0.398984162155044,0.4160796551270545,0.404305970859747,0.4451854973551236,0.382205064598441,0.5165570998416122,0.41686190432691994,0.461766645236018,0.7120169934528022,0.5072560618309953,0.6264424210423962,0.5701651916114605,0.8732068702340564,0.9314564023660951,0.7074943459665991,0.6086275210889723,0.5122563740757269,0.4957111887203316,0.45580373663907026,0.46151741204937663,0.4357565644161955,0.44488969222459257,0.46828778156482587,0.5881496885115474,1.0807411333669674,1.5701922982330467,1.1930723645615453,0.6751512690310367,0.5250880781508235,0.48522416150001835,0.4835649855121468,0.47363983015056954,0.436729242685634,0.4655378778623476,0.47359912407019217,0.49891854027637417,0.5145151147196647,0.6483427328571342,0.5882808995271123,0.7883489006198948,0.8921627210520185,0.8519337473194817,0.5654079415232386,0.4963100653885351,0.4772137493496877,0.4603357180861167,0.43882707669092064,0.5209817039465993,0.5368729345989799,0.7370176263552008,0.5106319442475726,0.5328864210178632,0.4595712965993193,0.41567946683611656,0.3966471056696686,0.43625894314463765,0.48982166778792124,0.6784752686590266,0.8290151861060184,1.3067048520007343,1.7684781074316271,1.1917469780694345,1.473766696892772,1.7613758367550503,1.195485078111577,0.8718532985974771,0.49311926703987286,0.5407244923114531,0.6738132105801691,0.4971049534232483,0.5612235331582307,0.5419949573606213,0.5711077512362278,0.5892916686680459,0.5376800802026215,0.5849877983730176,0.6526378570001896,0.6291562260267642,0.687200925742298,0.6994801631180124,0.7618810017349911,0.7154823635249877,0.7651854025155895,0.8411180244486904,0.8227822346505276,0.8428596730767702,0.9443749933238164,0.9299922742241126,1.050580306652514,1.0326795461019806,0.8679187103365169,0.908379522241846,0.9870530461987035,2.1740490673558472,1.1837804496531439,1.3757332021398423,0.8010462363679881,0.8406072778473185,0.9085136142962009,0.8705582819618364,0.8755175982268154,0.6995795272260718,0.880415458181105,0.7374169130915469,0.8945727772835205,0.6920656331700723,0.8666431357446648,0.7940152404340451,0.7767799273425473,0.8098460127303497,0.5804796897642538,0.5579921200777244,0.6121159849314706,0.7526338085641108,0.8246141787244231,0.9880266699917676,0.8251324608666786,0.7596530896822222,0.8164326645752048,0.9490726407771524,0.7672299889277012,0.7536418140839614,0.9557170357510555,1.0042354778938447,0.8345951086029708,0.9150854511448703,1.042970600219884,0.9900692540930844,0.9107873328431021,0.9803735476427058,0.9037178105214353,0.8573974019788851,0.774322611422599,0.7660790727716373,0.8798413572163286,0.764908355554509,0.7158281395108409,0.7892796563949284,0.8201897207813916,0.7145439284602575,0.7273813944482347,0.9251045540227364,0.8397281485302904,0.7890707260987845,0.893790302223598,1.1925426249323987,0.9808334880289732,0.9474939815983129,1.0782549733148714,1.1188324556685658,1.4778151028536646,0.9898648607024353,0.8269979060045152,0.723671509911475,0.9334093838410282,0.8431905354332615,0.9147341857649876,0.8930471361231826,0.7647772769897127,0.5850021461523432,0.5282370457887041,0.4915283286454729,0.5239889403093847,0.48513181905849134,0.5469745902486528,0.8007106230097644,0.4713099550911049,0.5739550093481316,0.6159525746812966,0.5006931340186708,0.5109623844317649,0.6442495701835246,0.7538216682865801,1.0431601450145087,1.4745146794227795,2.523549631002495],[1.4021223175149207,1.4995174301452927,1.6019094867449972,1.674031888096078,1.6903350867382056,1.6534331786820526,1.613657562953175,1.5199125073491258,1.4986990954681996,1.5205440273543591,1.4309478933071813,1.4240544018314025,1.4690731646938404,1.491124786264624,1.4446604504725469,1.4249933065014553,1.498986901853441,1.5260463991136113,1.5151993651279212,1.54596152696983,1.5972695504399357,1.5612885181805678,1.6189574893471876,1.784592820764211,1.5426413804882728,1.544544405681827,1.5544852279998507,1.533702408289703,1.5257817772468374,1.48922246572149,1.4167698277933167,1.4069921137933605,1.4290656955340686,1.3594502493578091,1.4177299077694905,1.4574610653963043,1.464510892054731,1.51256941815045,1.560131242603235,1.5825889590816382,1.6146841651322623,1.5129125447907363,1.4846183250719742,1.6078419213643778,2.5096090127708233,2.894588981550549,3.4478572097975433,1.9675249190393007,2.8159302084056637,2.653628430916138,2.7617086982059442,2.9830823521046255,3.3722883017624246,3.4205799687761136,2.337687581579772,2.0249446331699468,2.9081753902060554,2.003619105002224,1.4145422959829443,2.1648271193593205,1.9507707958909062,1.642929445305048,1.4719741283425765,1.7723640377803445,1.6284131330876142,1.5596879073481489,1.662201677288436,1.5609322500934588,1.6297832970636588,1.5889487627380532,1.5781482444852006,1.6950411541192547,1.5254316766659923,1.6329720465436557,1.4125564716335453,1.8262253695941724,1.4271587694136223,1.3596419044330017,1.3951981736719143,1.4663865154270097,1.4940343800550258,1.508049923818291,1.8305261791582412,1.6415219374816026,1.6984853713571435,1.5529128679973723,1.5326031337710149,1.4956357191001886,1.4605091929719431,1.3699927495458097,1.3937650258078245,1.4126602907505659,1.3618827600363215,1.3402762623144546,1.360300600231759,1.3425390553632481,1.3874305612591795,1.3840778393713964,1.4205497922105819,1.5124892519906163,1.4630994550194325,1.5220713620241073,1.5056242027789852,1.5329351768655832,1.5750366625863883,1.6645783002062364,1.7560592997479605,1.6626886342593026,1.6777020539260448,1.7268398760451356,1.6349545193916792,1.6263667764317886,1.6038360127480493,1.5835473642644127,1.5816969859949772,1.5809539453330848,1.5649662491501597,1.7149787820736462,1.5845395017115858,1.566302110990101,1.5361989266340377,1.5662292482302915,1.6547574516113441,1.6255641811058863,1.615967128517016,1.646032251958658,1.657216496156641,1.6659868058326297,1.6632164037317714,1.6954734408907497,1.7188195933471266,1.667616368798281,1.7589484437629919,1.7127910929516617,1.8097631460395796,1.894125874483099,2.011068073016897,1.7722912386501115,1.7266609818700116,1.6671300942438763,1.7002425248679334,1.8769238679548723,1.5914182648407347,1.4874637333925225,1.5471888756399346,1.558879619067059,1.5768004819485735,1.586809023877399,1.59765556516922,1.5788842347033565,1.568763657553446,1.5105558198295768,1.4083911733159085,1.8231642567707884,1.820894000864114,1.4796404738198015,1.4836036719806323,1.5137030915371412,1.5246494013237133,1.5860060006491379,1.5841586211107952,1.5878001907314039,1.6768702302916536,1.6828683648804195,1.7164011642077015,1.7629069638689445,1.8830515103773187,2.050798633508936,2.186781261899555,2.124709573137673,1.9106080787298123,1.7461327721614126,1.7054217278964912,1.7057961684166474,1.6059270827631578,1.5475036426970044,1.522609735191379,1.526056589343203,1.5690697751806462,1.554823400472687,1.6448058265594911,1.6554910378250347,1.6778565164661,1.7230712769878347,1.752870799640334,1.727237332939844,1.7265428220357364,2.0099597054376157,2.336831081791599,1.9707865598881544,2.5189890735437386,2.840589279742254,2.373890467088681,2.1412471410137637,1.8684103675151498,1.7685650657377199,1.7652611945913639,1.6925130882828803,1.6803459676549752,1.6635300639355999,1.6114409297294734,1.5862346901938895,1.6253875899092853,1.6260418340047256,1.5629517337729164,1.5667389294298255,1.63724169927416,1.5879865573948824,1.50458274253069,1.5520414841934436,1.5873410023391468,1.5207419655007284,1.5169732745651259,1.613454994196046,1.5732555990179737,1.664264080730993,1.5747113117474416,1.7284313142831758,1.606127608998747,1.554294259301414,1.6439280156647935,2.090284910717328,2.1135781868191197,2.381421476278532,1.5784232280368184,1.4815286700262085,1.4788384448879062,1.4988695099192189,1.5755584757037016,1.5970574069278551,1.6912158935407007,1.756622006758226,1.939285533615229,1.793424237838223,1.825630670370078,1.8601720488633366,1.7258866303880929,1.7700386353884694,1.7037853453085954,1.6603329602519419,1.610785712367665,1.5997141749404833,1.5620258374851856,1.6175115058128418,1.5482724689720684,1.5073173688295647,1.5227774037326074,1.6091002304706723,1.5509768375885251,1.5106122482925717,1.5287015499832561,1.5444747914283412,1.5198832574747505,1.5121313592795376,1.5008937273399872,1.4973766904248573,1.4730653565576528,1.4663734945256128,1.4749824960232536,1.4762039025146039,1.5137735308719,1.5020386001750732,1.496194818714464,1.5187031492810243,1.60042478401066,1.5532210728980262,1.5767658523167147,1.6210193936893607,1.6278409540680294,1.6730909986937121,1.679593000198056,1.707746202792261,1.6800821405176274,1.794852193790758,1.8514617408585445,1.81413209161901,1.852022459019102,1.9556151087658902,2.0023737331709186,1.7958356847931387,1.7016239552006955,1.674733459658626,1.7633171766252977,1.7800353411455334,1.824584386101355,1.8248607750829482,1.7146977213892882,1.7160951227641927,1.6869976520483292,1.6773652373809422,1.6293388111143934,1.589514257704288,1.544227172589052,1.6575411146836918,1.5902711515762975,1.6241705264523412,1.545430841980257,1.5426509286615138,1.6465136625113632,1.6240143000997822,1.5734385346738033,1.8425786252014813,2.130739395051134,3.069775472340197],[1.214752382529894,1.4664388641457362,1.7117263381639771,1.9198756856902413,2.076223687389795,2.108137800205555,2.263305405193659,2.204111921413132,2.2851435820581703,2.4488762463514924,2.441815716076169,2.3885806133042107,2.4727098587368928,2.5429291388066537,2.5427856640631115,2.51381165581203,2.582109004104549,2.6327383876956962,2.617108484308236,2.6379377258501178,2.6871931048010755,2.6543149839914397,2.647705431293921,2.774649978349657,2.5677004044836873,2.585561446549528,2.60231760820851,2.574954265252405,2.5999400590151063,2.5568578943888123,2.553441211715608,2.47533919949442,2.45285935415611,2.451447604673424,2.5175891996228263,2.5838163509670125,2.5272618050617406,2.582664110646498,2.5991913867375858,2.5974720052145335,2.57829265992535,2.571069582602486,2.5492171866301923,2.7028845420628667,3.562665386533669,3.8706523453864574,4.439783973545628,3.080998388880408,3.579455949823328,3.4897350519123598,3.744056121237888,3.8109416073910323,4.3318306667997755,4.333427830803226,3.2551370394380217,3.065020242794928,3.912692120392548,3.0170880425526025,2.3313668555672957,3.2382830987297178,3.0289751805696903,2.774661392420345,2.6317942608324434,2.8473813018319265,2.764182429008848,2.6759984361908273,2.7626732651930244,2.6784565912615244,2.7337087611896456,2.7205252679705447,2.654201457122284,2.725734266241788,2.5969820844250804,2.7166217183376555,2.5678245118754615,2.854106564906426,2.574886333765322,2.531060178738067,2.544744925855643,2.598134113208582,2.576953564017575,2.5803353975701544,2.5994565412921897,2.620318823672281,2.6784139825979816,2.5685540930955013,2.6087997852816778,2.5511626537261862,2.593279899871768,2.4815951943907577,2.539907653788249,2.5825427075335794,2.5211337983884716,2.4520689671032896,2.471959381934801,2.4254841592122105,2.4829911977059775,2.4172305774748186,2.393309349742531,2.3092045082697283,2.4151095188010645,2.3311342310937477,2.414874466162481,2.319240432218907,2.350545432704658,2.3351743529206166,2.327885925337653,2.2310191244427293,2.1722194970734945,2.2806931722221195,2.187385801463656,2.3374845010932854,2.353480448086221,2.384063813226137,2.5195235199994253,2.4940787766109396,2.5553085969043137,2.667140380524015,2.638507865054731,2.6658865865819874,2.614312307585637,2.6013097807545082,2.604230636096563,2.5013048593607126,2.4202500179999276,2.3516469347475124,2.1742244828523116,2.2925255111591967,2.23031002919745,2.343329688006849,2.23904981296637,2.189542653173671,2.350647949920287,2.394233792036973,2.4705760489122452,2.6013663308370956,2.543431882285399,2.4753809013232684,2.4816199693080203,2.522517152537822,2.5315072240995504,2.746257178395227,2.505914900954365,2.4104392878132463,2.5146002113119295,2.558566333302659,2.534324639928571,2.523085772016482,2.4775780817845345,2.425864203417647,2.3132467579712648,2.2453493339145103,1.9851310822870896,2.3710115729488033,2.4979434466749386,2.255709601622736,2.3706104707411275,2.337057080971388,2.454447759369141,2.4060592115514585,2.4420656946850707,2.5488991708198805,2.5832301026789484,2.6300406878683558,2.581782161348559,2.542727619259338,2.6078502633338556,2.7097599138188957,2.7570872474558894,2.742394149619177,2.5724472350241867,2.5085829233253407,2.519437560931671,2.5635376534189556,2.525586035238498,2.435927265103956,2.475983043361346,2.4193443037777866,2.5423844762379133,2.443312580528943,2.5292032777088584,2.445267789833757,2.447569023809006,2.475525355540352,2.520730362325518,2.5876507057255314,2.6171324202713646,2.87736438051996,2.9679248080758915,2.79869318802522,3.1955791090327756,3.47575455971334,2.9782150899385207,2.728795248173704,2.4352438630766438,2.255221634687052,2.195848192539801,2.096347124236471,1.97451481038748,2.0180667383723816,1.840274350928881,1.8551101084346149,1.926611662107341,1.7838042725639425,1.6744259819056233,1.7191050242741208,1.720671753317709,1.5798339310965155,1.4976471170010535,1.5422128606284142,1.4654607980717291,1.3460885707471415,1.4002501697654413,1.4126344721985649,1.264980124666044,1.3933108793233833,1.291560225577835,1.4384258833886854,1.4041857439571983,1.3089778840324044,1.4078632561226796,1.8612404416275183,1.827356721522382,2.2308553102269606,1.5778861737756966,1.5635390976836117,1.6712883860415553,1.6616267720147668,1.6407489576829783,1.714288262506965,1.8726106345810731,1.9149354519108024,2.0431439796480184,1.9623684790316394,2.023897446235091,2.006572581519534,1.8715354823425991,2.076648704665545,1.9116331475253567,2.0133822274875,1.915385310254364,1.8464295167409384,1.8661537516409035,1.8682699238508358,1.906457849870738,1.818438874683792,1.7153342675698782,1.817231684581785,1.8548147829065285,1.68094769595886,1.6416546398454466,1.6750162163637587,1.604487350529711,1.5039712271180115,1.4595691486086522,1.4834619883513973,1.3670299499069345,1.3239458643097488,1.3625981151936135,1.432925845942765,1.5519328951938085,1.505116295470657,1.3863365216278731,1.4818833496858344,1.6087075914808568,1.4762842786726897,1.467301921944306,1.6297536760860063,1.6000224864840844,1.5269384657721947,1.5802638051380022,1.7372423419159153,1.5964970888482066,1.708200534599914,1.7478684746546365,1.7009618452048532,1.6808910944176885,1.7544641887051147,1.7231667014945027,1.5828211105586871,1.573560501974124,1.6050037538777682,1.6422217000243682,1.738435425353209,1.7633327018733431,1.879098128709482,1.786486079020775,1.9408747105542106,2.014418333699463,2.1051076202994863,1.9248960196850622,1.956159180940882,1.8280606481522113,2.0465598527888935,1.97468739877369,1.800890990920235,1.788229319742156,1.9830123025953368,1.8526815749271859,1.7263725919073938,1.8267934004192456,2.168252920837338,2.667142779677704,3.4298004135596947],[0.6500848127962333,0.5583143318003735,0.49430737031208954,0.4322427740270989,0.48207553677167786,0.41886773241891223,0.36379289788890773,0.4031908264495284,0.434531489167719,0.43874782607247614,0.5252228725318895,0.5903124963926917,0.4734562765164341,0.5324514649097877,0.63901415047641,0.5798251253180806,0.5873434541176941,0.6413368386220053,0.7801276091076972,0.69831848770953,0.8025560264900099,0.8481324526095421,1.0151030732871502,1.137179960922725,0.9276578599312014,0.8487392637945054,0.6818031144265285,0.6036204241819066,0.5769626073222142,0.5426598809220684,0.6827353658052139,0.5903860666997927,0.7275298312821383,0.720128051963648,0.6102437092588724,0.6173314279200959,0.5770015306430246,0.5954368637060544,0.5615309273602268,0.5388639608896371,0.7339482729780862,0.7294245061528142,0.7188740734523698,0.7668998245534877,1.5950980208891627,1.9724538914263292,2.7105633868456533,1.1137322224487372,2.1064787023695373,1.9292455059419935,1.7186419081017716,2.207708899890974,2.3322168754415844,2.206548681026115,1.5025410088454436,0.9708066713361945,1.7551364170577706,0.8822784280586564,1.3619423043389045,1.2687259646955766,1.0438450140477715,0.8457772139475875,0.772387150535239,1.1014035715295152,0.8710650716495134,0.766037406885561,0.9442128921393934,0.7896457531302171,1.0063729947146762,0.8522147163519309,1.0410292120293216,1.2123501778591173,1.1651309038698519,1.1672849360500293,0.8440446995735911,1.3692493691121226,0.7655863263644579,0.7395896231061001,0.7113101037953143,0.7071512400636963,0.6363675226191563,0.6727915568971939,1.241328750169147,0.5665982576945305,0.6153744502724176,0.5263049634849044,0.5838342543779712,0.6465866721332135,0.663636099035881,0.7182166153725792,0.7583437458612128,0.9288537815150321,0.7954721873758301,0.7573131719197331,0.7021718844574687,0.8211202167549867,0.7821472478129614,0.6789114594420058,0.6164921308097147,0.7316940399035987,0.5659608072295863,0.5750925141558473,0.48745839355517845,0.5025029705109844,0.528683137203409,0.5152095261016064,0.733655826831976,0.4957706921363812,0.5008010976567494,0.6521123327371597,0.42666519733342606,0.41260406378717907,0.39075535257870336,0.41174713904065163,0.4863858912772436,0.4804249382470604,0.5929943595217788,0.677182648849747,0.8519033990971641,0.6692425620105006,0.6529433958510493,0.5794196609101113,0.54844208290961,0.43731808048950427,0.40734932285846176,0.42575386669011284,0.5140913147203651,0.398481508338062,0.41689476261334185,0.46659862439647515,0.4554172278073223,0.4656508892650851,0.48204665169487865,0.5408828909282147,0.5071964833695982,0.5743460911928553,0.8199563565838403,0.5432135977483322,0.602278312479494,0.5815203643124652,0.8891248541875806,0.9771181954275431,0.7429959251435795,0.6643247186458605,0.5586198559568348,0.5237606881611235,0.48747800065942903,0.47414343844002294,0.42515589869202863,0.4456023061392908,0.45397057644305433,0.5817095437146941,1.035265825029361,1.5076050752692993,1.14926237937977,0.6253009278355226,0.5003564774630972,0.4622923689373365,0.46371136324107065,0.48948259240001746,0.4449032942734579,0.4864243268396239,0.5003668284704702,0.5207236617785447,0.555318521118039,0.6753972681925444,0.6747022283668682,0.9421723211850908,1.0816602882197202,0.9766643578637251,0.6675068178114252,0.5300872439434833,0.49593182285018617,0.4669417794807759,0.4488995956353082,0.49687572204245634,0.5007476576166439,0.6673494558396267,0.4953568430994562,0.4804538535911254,0.5118192778976544,0.45378983177204363,0.4556137453120291,0.4962475712223679,0.5430876354306255,0.7459904535441936,0.8920932856720881,1.2565118262557888,1.9247754507503851,1.3360101298353142,1.6453105803950399,1.8518634918953678,1.3823179780002877,1.0612044929750382,0.6589178679203987,0.6499864575858181,0.6478429089625752,0.5330261379978792,0.5730778234988724,0.5446864180674579,0.5545647602502526,0.5599387729452804,0.5305922961123538,0.565946347120558,0.616292680216879,0.6016990341442057,0.6328964763588839,0.677616575564472,0.7130263823461254,0.6736040869347687,0.73998645685368,0.8112892055983231,0.8132283228957562,0.7824690364366911,0.916921075863274,0.8905542614218873,1.0017156330020909,1.003943558288029,0.8378880507852202,0.8541952860900734,0.9962260328600956,1.7364732974452934,1.4466274863053699,1.6317826846214531,0.7989432770937321,0.7412607946849026,0.7632613412901786,0.7259468260274746,0.7951851932457149,0.663013484956088,0.8678514090718255,0.8303612209682238,1.0250246680037498,0.7841242556314667,0.8281487660336762,0.9749979178997035,0.8056139808022482,0.8208776221575065,0.6063389833042451,0.5558202897822738,0.6019188519486117,0.7287078659497428,0.7675187578651989,0.8965738428005329,0.7927670195064722,0.7015708059673188,0.7305847246475673,0.8591886641614568,0.7129689936449741,0.672606998062313,0.8625294864837145,0.9295586651895887,0.8038150821385162,0.8622530749993937,0.9623165876067344,0.9973610496317558,0.885498643819941,0.9476257278748439,0.8654490823488662,0.8247603873416869,0.7314164315569923,0.7239924472196663,0.8039837188212139,0.6987771307147684,0.7078608819290569,0.7487548584857547,0.7763314542191955,0.7056713243646447,0.7478236916964961,0.9308772076496693,0.8195021383273224,0.8235065626144662,0.8883004646130662,1.1704096385386853,1.0457891003224886,0.9595750852400227,1.108264499768349,1.1698115648622605,1.4532777686205252,0.967589805326683,0.7975459868244947,0.6880283533594231,0.8494181255834898,0.8250882450284908,0.920376455456547,0.8772814862013977,0.7405976868650431,0.5860426050102957,0.5281755669735363,0.48628436570185607,0.47698231440887817,0.44245733019107775,0.4891450278068802,0.75297780752476,0.4209689156048829,0.5203048570032406,0.5185057731520535,0.4405185879206047,0.4715202265033578,0.5920981286450843,0.6515945331760584,0.8389196136941083,1.2426251032350017,2.1109851067283842],[0.5648815386336699,0.4717499463135515,0.41564528262915384,0.3703864830669802,0.4459856803175661,0.41909113857346514,0.3805627912450104,0.4562858434855367,0.4622543767544233,0.3920535418040228,0.4486967443527086,0.5611079982086092,0.42698750637702376,0.4276027162211001,0.512295077830723,0.45926663468475176,0.46598589556832487,0.5197185521483706,0.6447301640296844,0.582132106067925,0.6737953092859914,0.723911050358526,0.8736615304175227,0.9963870494302836,0.8020566110731899,0.7184697835733816,0.5856437515636433,0.5015291780405828,0.47463678291494066,0.4591384532239489,0.5561275422393022,0.49178486169063573,0.6409892501250614,0.5895794466656167,0.4991496844165351,0.4963252286147138,0.4925365440981591,0.505320272388283,0.4848141342919142,0.4937972056645729,0.7375052814016049,0.6405511511812897,0.6088668249987989,0.6262021571426886,1.4392893289446327,1.8116834926229504,2.443577285507623,0.9412810984191015,2.0923732730447,1.9707103407006716,1.645582314840937,2.1740166415357964,2.31865639353918,2.2513762400089945,1.4563476776977513,0.9311656743718303,1.7603025511236785,0.810273622288689,1.328844319276204,1.242403791151628,0.9256362827625038,0.6894572710038901,0.5922784177725977,0.9211619232114232,0.6868477900610028,0.6264080627493974,0.774324250769489,0.6644573677923525,0.8340988137283156,0.754670335347364,0.8628913447832375,1.1059442425567434,0.9971296796937433,0.9615867404191364,0.6453267187289613,1.237058934256693,0.5847498923575342,0.5910266324847123,0.5524482584574364,0.5684582187306444,0.5298471593214236,0.5886605893916215,1.3168201397839054,0.5383623828312174,0.5875383305638416,0.4914581611448104,0.4967381587613604,0.5644701427641995,0.5240029106427059,0.5952486195061927,0.5970221275431318,0.7872288497257971,0.6586485470982789,0.6125511288221861,0.5698008249661991,0.6789206489299484,0.6539460407313954,0.5841572829179756,0.5711410853569494,0.7510403467291223,0.5356328416300673,0.5814179022053461,0.49863352721528875,0.5310567158916317,0.5437398478148856,0.5264043135076928,0.7243424145821076,0.481067489209114,0.48780211503097815,0.6451228280639822,0.43091897634413173,0.4259322198774642,0.41172787748869316,0.4213597217333203,0.42909329836998755,0.43303734958329715,0.5309267888970132,0.5820435356183521,0.6611184561337246,0.539567656870591,0.5178001173463983,0.47873813639380053,0.4664495906528227,0.3874553434714412,0.3985997513154137,0.43937638755287056,0.5652435411993783,0.39240068966439223,0.4057450511188943,0.4409360256039431,0.413497228046933,0.4612668426798047,0.4191381100807737,0.517852411665427,0.428506829078231,0.47054900049296566,0.750067181393925,0.4482696298471574,0.5204585791860672,0.5016328214147558,0.7941943518233107,0.8852642988399845,0.6726158646700765,0.5727884233193208,0.48081995877714406,0.45118241019857475,0.42733907321100634,0.4528343645179898,0.41597930909042324,0.46235346279365885,0.4821187555344511,0.5862228228699609,1.0616839970715308,1.4669162856966462,1.1572704102363491,0.6389173472170231,0.4837885259576172,0.4757688401692389,0.43860625469767045,0.5261400588932166,0.4256537552079472,0.44655738909461884,0.43883227099530253,0.45297544103687615,0.46942867666116284,0.6299451324956293,0.571851577741705,0.826548909377684,0.9693713403666504,0.8611515423886096,0.5658964737605582,0.4469164420651811,0.43911491224944826,0.4325758535940553,0.42696950223341484,0.5121324847591983,0.5001107436422908,0.6958387885042564,0.4732429032367916,0.4780480823614321,0.47287163608736044,0.4439693006184686,0.4220637806369731,0.46447689565085487,0.523110765112215,0.7116164602177258,0.8613598364966695,1.217719359580787,1.9146316123121454,1.2631089006313942,1.486605030419718,1.702997433295533,1.2350892067777328,0.9400715580960675,0.5659602595050496,0.5938959025102037,0.6322408043302483,0.47648474524337725,0.5178314215760123,0.4997357167396876,0.505207388294598,0.5383474581053477,0.4952129493465757,0.49770114889794387,0.572544504087722,0.5677088727096407,0.5492471823305692,0.5855800361227578,0.6762139618652819,0.6064404626494125,0.6237885290717887,0.7082907259615935,0.7362686976458706,0.6824193065442825,0.7686962949194215,0.7696079965055858,0.9217882574169022,0.8859318614614138,0.7083401080504361,0.7511417490403096,0.9001911237693441,1.7792488647734377,1.2971030196879305,1.5057043164932897,0.7435635710110244,0.7222094447244264,0.7958796575807607,0.7346192508445228,0.7911611128219928,0.6237724511397136,0.8303271594352251,0.7445782142425079,0.9364512609620456,0.7009230509247956,0.7683817604973593,0.8723666274508123,0.7305103175248107,0.7814801443180835,0.5251654647949827,0.514619801344471,0.5733284771340286,0.7025639587258119,0.7774139633934329,0.9235176076766531,0.8000387285514358,0.7277354793331757,0.7421855969816312,0.8757747156620803,0.7282671973101473,0.6832363884064404,0.8938871691417338,0.9662820149267283,0.7999093250323118,0.8541013604911044,0.9918007038678691,1.0178862580796504,0.84539807401861,0.9102521290484397,0.8130878887192888,0.7882160258788506,0.707699349711237,0.6920578605190226,0.7596631404057572,0.6402747211968319,0.6398175921041421,0.6732651365282295,0.6916758146692594,0.61895595197894,0.6548997254486084,0.8253732292564079,0.7144834629218144,0.7335528338100944,0.7743533431706436,1.0870458914855226,0.9225432743636731,0.8504225611170675,0.9786290179850804,1.035943411977767,1.359283756409707,0.8558120103056096,0.6876133625493132,0.5641307177404035,0.7574130489935434,0.7180498317255086,0.8071279610794617,0.7973394622419044,0.6293475624265337,0.5057772693363396,0.480300473188078,0.46021695053356104,0.4491996235272374,0.44672436876121396,0.4943718068712257,0.7818505086058142,0.4274519882813617,0.49741088425433283,0.5311097380856079,0.478028702506506,0.41222451438286795,0.5482927862247771,0.6995949700221736,0.8321115409053107,1.1310924355817444,1.9552433059403294],[0.6232766703843254,0.5114175493627144,0.42201898327948706,0.441193814646118,0.4687505545366038,0.4220294968791554,0.3968892881951522,0.4229570786202652,0.43399530590349533,0.41572371819053866,0.44812383409877565,0.5205166937990888,0.4289300032620264,0.4552582255429976,0.5176439697493984,0.48566424039465345,0.5136859618276084,0.570011373925405,0.7134149335273007,0.629525675137945,0.7266236733446247,0.7814215867217776,0.9316809999270569,1.064181840796602,0.8703555019419756,0.7960555661441364,0.6567616320625774,0.5768552702577738,0.5225128567342638,0.47542239416107,0.577418026264192,0.4962948024971905,0.6419185378326016,0.6003592312724344,0.5075042380505389,0.5293046684286091,0.5040524766651137,0.5466470777234165,0.535855320365733,0.5290688886374357,0.7816741414724475,0.7076124780647941,0.6799687069026289,0.6620092673598632,1.4324134383771416,1.7516956632717702,2.4488426439713193,0.9356083243503486,2.03643255298989,1.8085880269377648,1.5444265094203635,2.062988421249105,2.198518787134694,2.0995676733307316,1.4507392587967143,0.8740004403300089,1.6376068939724862,0.7821312337365116,1.3607316382495793,1.1450262412473624,0.9217224284466768,0.7054476433104393,0.6471571297390116,0.9629321963047475,0.7234709738919294,0.6672176907635105,0.8200386938303578,0.7006762034797837,0.8917515779757269,0.7691573876169263,0.9258653655559712,1.1587244241274792,1.0519877767931787,1.0095205969487056,0.6943328097806488,1.2806521604027203,0.6245175564730784,0.6178705940664451,0.5831533920627031,0.605879739931319,0.5666356047859313,0.5997833642108039,1.3172986352567375,0.5525563720195212,0.585974030822601,0.5039826825593753,0.5246872096700972,0.5776654416966588,0.5594112406374754,0.6139033113562717,0.618264888474183,0.8023547391628983,0.6583025383095178,0.6118141036705709,0.571139528646041,0.6751888912159698,0.6454929920071133,0.5679031647734262,0.5377509132785732,0.7137482148110889,0.5063379531899677,0.5430223661525317,0.4618531896082007,0.4960967694953521,0.5464720606593924,0.491035600664395,0.6883752177865803,0.45010068250998203,0.45353468216580856,0.6303022637344995,0.4035154038245454,0.4197937264002037,0.41300799937990673,0.4855473099979354,0.4970369792812208,0.5340032223372421,0.5999447660802807,0.6070151920116603,0.754695920960219,0.6219472548618846,0.6095731184353252,0.5615756005663504,0.5508359722689647,0.49105618314649163,0.4689001021626086,0.5018360267998063,0.5612175358892284,0.42172878290491866,0.4191134384528576,0.4401889539806334,0.4293075257618972,0.46278498329928663,0.4214292294732729,0.5340551456187671,0.4338107252581029,0.4407487279344151,0.7069216038236061,0.5098646460410342,0.6243699175234919,0.5892807602924025,0.8866072953266386,0.9089384510574268,0.7855519582431492,0.7194936298646717,0.5716710518138659,0.5117957099812067,0.4903544111864216,0.4685147148649398,0.4245054053144595,0.4510117157346047,0.44422280370823747,0.5650075102626854,1.055395584954841,1.4948010382573143,1.1516071864069233,0.5999976067263796,0.45173353984196074,0.4375039181360741,0.41959967793065084,0.4828991883433573,0.47286011250972265,0.47475106100969267,0.4706140850152237,0.46615758308732047,0.5133692867138931,0.6815996450491372,0.5760650655045875,0.8002601727298568,0.9068771643412256,0.8457740616254512,0.5669690124146068,0.5071081851943662,0.4834514589331494,0.4443111766965197,0.43645773648233843,0.5165145035667789,0.5009926084882118,0.7009932967682959,0.4807459160550286,0.5001542481707236,0.4893297536226969,0.45071167384415384,0.4463840159852086,0.4685539542999049,0.5098615156262555,0.7309353628537489,0.8960594224031131,1.2895278154023957,1.8750014666994668,1.2541811995316412,1.440409282122127,1.7114393193366442,1.2063914232929296,0.9081899675708817,0.541918538102872,0.5957017798556743,0.6697038300294361,0.49028615642783135,0.5266286988397569,0.5145152467692699,0.48640768088216285,0.5098847517715843,0.47933333113875065,0.4866568296287525,0.5222091508023465,0.5180866444727918,0.5652255644944809,0.5562019115562343,0.6096812793662599,0.5666263265686161,0.5869661951834587,0.6611694495870816,0.6739701910868703,0.6628093024924134,0.7310445288746604,0.7445133531053384,0.8582858081069056,0.850549546218386,0.6673788830631645,0.684064271154461,0.8082655997232744,1.9040858115557309,1.1428162739153869,1.4139279815399979,0.6974284503908373,0.7046220624503385,0.7853236956079741,0.7285423880449075,0.7559735708560718,0.5955607733883204,0.7981221319432995,0.6915545943495559,0.8731406185420191,0.6538636444859434,0.7983731401684526,0.8364897727810973,0.7422720815129513,0.8215507015087913,0.519492931083236,0.51703375329648,0.5645122376393552,0.6700810434208622,0.7619350934656995,0.8817118432097125,0.7761759939202817,0.6975111646286005,0.6833351335215359,0.8432045278327763,0.6780175681571454,0.6355891199683754,0.8361999177324021,0.9111709151348021,0.7333317071715604,0.7783779535649389,0.9137680694395557,0.9085612484988984,0.7639243044911114,0.8197290838170757,0.7310679296123768,0.7057649591565295,0.6317654964854127,0.6078256984155916,0.686751925984433,0.5922828450918299,0.5866494800028703,0.6216859165943018,0.6490097458450598,0.5851373723402942,0.604832429965011,0.7851573859078959,0.6961617335527728,0.7113509322723139,0.754903653135678,1.0811359421543023,0.8896301395219246,0.8268012147210378,0.9484451316393648,1.0227019244315505,1.3196035898484406,0.846672086110822,0.6831126886628996,0.5679299076824967,0.7971428032794877,0.7245093255625152,0.810331134810314,0.8202867024941557,0.6686835184127526,0.5342115828357898,0.49268590347501096,0.49058618004196014,0.4524670451417136,0.3997176943084541,0.4315101615576932,0.7613610783898022,0.38558372017500997,0.4302924007061048,0.462210400372459,0.4317272473660266,0.3660138222039992,0.4980085814137144,0.6083364963643156,0.8211972349924728,1.264765990603861,2.1594568058352386],[0.5711291509333182,0.43852064002067026,0.35425411840250426,0.3698227153485203,0.37582717821438805,0.3976249655897094,0.34287278699983864,0.37984584648101827,0.37589004618783317,0.35178367900432045,0.39843529281524576,0.49119353705660285,0.3868895396945079,0.4077457680800329,0.5237085874288229,0.4884541064762944,0.48468151877916366,0.5527489442494954,0.6592544433753204,0.5931813227570997,0.6865153526429193,0.7206423553080618,0.8719615628280039,1.00514474265825,0.7810276552017298,0.7245853919284568,0.584402245381265,0.5162811526909442,0.4869980463085443,0.4626919259120108,0.5859921552047618,0.5085047248070584,0.6910735236405616,0.6244282669522503,0.5183469856221002,0.5137876235909932,0.48438154722958743,0.4962389045718696,0.4802518516335778,0.4754279683621691,0.7056442527506274,0.6374331808664302,0.6026772489069768,0.6007036466189256,1.4669994252011027,1.787968732166412,2.481012605390942,0.8948608442103154,2.069894791328436,1.765301421969092,1.5951609320717084,2.0670267005026646,2.288447257924906,2.244524134317909,1.5021554498262937,0.9339388686348629,1.7240100867321249,0.916827584709341,1.3142525677363248,1.0881018483471203,0.9392544533913363,0.735738324303985,0.6523756219711846,1.030554238982792,0.715902313332288,0.6501743427909212,0.834411850256706,0.7039018999188982,0.8952880393409175,0.7718665381973603,0.9474772502850125,1.230947289973768,1.07570640647747,1.0425646183668709,0.6748651379955201,1.3080351426168129,0.6125608122173333,0.6386800850209828,0.5713295058640359,0.5861497912148496,0.5690414616815741,0.5753050941698465,1.2827064538232065,0.5628646121025835,0.5571184967168826,0.4775454706325304,0.5031290393253275,0.5481264493725706,0.5464818925773729,0.6175263647849394,0.6173115620246985,0.81701382895772,0.6790985614907902,0.6489632965518483,0.5940975697224639,0.6900610545274573,0.6849532970214892,0.5904462696145479,0.5518087712140893,0.7632690349340443,0.5360927672460845,0.5693663396983561,0.4685885693586712,0.4796491503049562,0.5065847337707758,0.4739743657276309,0.6820161432707766,0.42221711255362426,0.4387675926165938,0.5745943470531604,0.3638070002808323,0.3631892132952146,0.36605420219378826,0.40371649422199746,0.4280766249619228,0.44381353195146606,0.523386270941933,0.5620150389973868,0.6956293985994273,0.6030310214846104,0.5534523542647146,0.5019293565542435,0.4707235445292271,0.4050218744292505,0.3798413144889318,0.4143135005402172,0.5245405877694256,0.34521953847755005,0.34685699168825734,0.3879046859901208,0.3669312273928511,0.4012495370568066,0.3607385347058583,0.5084139054245802,0.3873947929230886,0.42069503200173614,0.6924709559843424,0.4432436673087533,0.5572946369070629,0.48743361636418925,0.813447371780104,0.8247217840987674,0.6873175258646111,0.6013110509031386,0.4695369492711785,0.4412516318115363,0.4088269046482838,0.40803242657530825,0.3886464299288668,0.4140615299839984,0.43245712086428967,0.5399595286137363,1.065807983472522,1.5124398189363184,1.1493208988659558,0.6188928089077101,0.46568944356386094,0.44371827986665774,0.4041193127099249,0.4694867330678473,0.38131130290125304,0.41936668577295794,0.40915511523967074,0.41204884334281044,0.44715526174110903,0.5870318273909813,0.531939270643066,0.7469822012275306,0.8705631866786347,0.8325013577006365,0.5205503039081044,0.42755020928500653,0.41788976418102913,0.3863729463156563,0.3853369987410174,0.4867174908227989,0.4895192020594384,0.7136704942628844,0.4614950756187845,0.4803769819091915,0.41257829313208905,0.38604774592330504,0.3821536034427671,0.40470131595664965,0.4497012070047974,0.6575462055218154,0.8180058141465336,1.2299314556273906,1.7958937178694632,1.1446544632247857,1.3592079305883265,1.6679817788064826,1.137198538925129,0.8445856393066141,0.47968026847603445,0.5033744706908075,0.6336365733929258,0.4258153779832473,0.4690942293216273,0.45783998737128195,0.46143362702139085,0.5013854217261099,0.44220907501179424,0.4574765914733481,0.5226564477668182,0.5108474854791648,0.536722973108045,0.5339461787565658,0.614624507911269,0.5511839105997374,0.5887759763253728,0.6677797466643696,0.663968929245713,0.6734997564455567,0.755208016052088,0.75526697646297,0.8794784867896105,0.8600017372438047,0.6860311976715684,0.7126667829370426,0.8039400617119771,2.0559860163101686,1.160187414840652,1.4692463947593661,0.7072868113854702,0.7026123710628484,0.7720581983575011,0.7211662341505719,0.7539494655523216,0.5834108175135704,0.7986981430728275,0.6775509141515178,0.873677422597029,0.6422095068484843,0.8207832289942688,0.7364583781795384,0.663317741564212,0.727114103177124,0.48439093971788755,0.4952909399015418,0.5359128929526603,0.6732389949651755,0.7684132935000186,0.9245124928886179,0.7934757535409498,0.6932520403206066,0.7356952550635116,0.9112210426523527,0.7127793317733803,0.6663767823055825,0.8972623570195114,0.9557775046825802,0.7515415540362157,0.8246010881239021,0.9596967844653195,0.9001227771220721,0.7830278845163836,0.8514441363234673,0.7602679413029547,0.7352299439266914,0.6656489966368,0.6422142685765619,0.7184330938436053,0.5974482876327453,0.6077646448166778,0.6219725596947056,0.6440980732019258,0.5641166427652949,0.5885674892769417,0.7618665528529405,0.6827087423028801,0.6474226521093516,0.7261420466350246,1.0377463038418235,0.8536452607511265,0.8054429493407986,0.9183762735758175,1.011995461988456,1.305399582877083,0.8347196478244452,0.6739071499055715,0.5610891811466263,0.8125363724738365,0.7085964731110422,0.7813814143215182,0.7777823156966117,0.6257121209746832,0.4700282106271876,0.4424192808142318,0.42264062306322825,0.4159254096053798,0.39430518965695355,0.4470370109215343,0.7850173151113933,0.37901828935728654,0.47724139154108214,0.533924247382079,0.4328482292688464,0.4082237499652406,0.5867221568808183,0.6931563821388437,0.9215965131048055,1.30449844003788,2.321383810127718],[0.7272252883714602,0.6365893256792459,0.5361484553661654,0.5432098897409229,0.542794112784303,0.5114539635950902,0.4653140420116013,0.4758158894325623,0.4667982859340877,0.4547598484310451,0.45803030652768545,0.5327508087706774,0.4565628890226701,0.47543864179889306,0.5657636232489917,0.5413502472104899,0.516267662524368,0.6028327429007625,0.7200836952289612,0.6705064195733916,0.7777616445417476,0.7953934520241507,0.9605444961081264,1.0861010436119944,0.8438630052069878,0.7922400363420505,0.6654662071052861,0.5887242479815905,0.5349830328569566,0.5178730327183194,0.6436251778796396,0.5740864177399772,0.7370759193507553,0.678637182463852,0.5865670827914605,0.5656748858560326,0.5460405701212386,0.5460435537975352,0.5536308618098339,0.5530480290666956,0.7370573674547864,0.7095391413760296,0.6868218925629058,0.6831408806141909,1.5869568874255826,1.9414568156282943,2.7151616198519024,1.1074860325284719,2.113613528749422,1.7656571307476543,1.697222616812766,2.0902323485329966,2.2660734005675,2.184357246284883,1.4995814767061413,0.9883421548942929,1.7936475863476178,0.9821366194998677,1.2237075856950066,1.2175284034193878,1.067200832404519,0.8480538733835649,0.7409515810777294,1.1552818317485671,0.8613172573506842,0.7582112716455517,0.9342664241933548,0.7757297782505533,0.9758242013571925,0.8098243816926305,0.9772269251768034,1.2120766031817514,1.0512814017783307,1.1050097501738299,0.761763718593471,1.3782950695037297,0.7036024494496227,0.6933932522649057,0.6371646883424626,0.6395930616615647,0.621153046471903,0.6052585390551397,1.2679080060942363,0.6027689707839008,0.6415933845780765,0.5432238563089564,0.5621215679523932,0.6280378412078421,0.6039815814054501,0.6792392565974621,0.6872516769900688,0.872846452231924,0.7642381086753348,0.7189555175096254,0.6436527592879621,0.7473222530086515,0.7083349651993851,0.6513901613214967,0.622831782045599,0.8388853987383957,0.6242537906963815,0.6527669512511971,0.5451875304856055,0.5736465045668911,0.5922531084315759,0.5789157983575155,0.7270859344870644,0.5099062770640984,0.5370635582789693,0.6596111731681428,0.48595943665187086,0.46703954386031266,0.45297390909102186,0.5136767879774538,0.5247371134638599,0.5708139605952312,0.612092057536584,0.6218973891090007,0.7901086072985641,0.6672046927777067,0.6407824825014106,0.5988845595958275,0.5887968235217026,0.5442833934816126,0.49003497067202456,0.5012969393623682,0.5717763174310588,0.4770120273102875,0.46577937564853417,0.47560633918050493,0.4814020498676952,0.5043227983394662,0.45835951537668207,0.5544173084330231,0.4799152895137697,0.5004530953813354,0.7776501888273386,0.5557527385948452,0.6607958924974702,0.6216513609074423,0.8938006329812285,0.952588467743879,0.7769797210576505,0.71157185554663,0.5707699800409091,0.5296023670789546,0.5093676553714178,0.4708845104607797,0.4665940983574252,0.4946330184503494,0.5378963207969713,0.6504561003310828,1.0841564872578187,1.5573588807266623,1.238275453175712,0.70931812297854,0.5659815154847446,0.5486369536241414,0.4994979790455692,0.5368167634552953,0.4760252097376199,0.4874584316300508,0.5039514569962374,0.5013514257664037,0.5493249771309877,0.7002345895994616,0.6120451376781156,0.8177023613992305,0.914604943189056,0.8755472534770644,0.6051534081693123,0.54332058153772,0.5245636864374909,0.5026340955755956,0.4678854517672946,0.5332957764956365,0.5437975583470642,0.7309616081114874,0.5191232860261846,0.5523858356170871,0.5062161763261916,0.47273199378830505,0.47556304360149476,0.5066938432778997,0.5532636828448498,0.7442526429412989,0.8914873854061397,1.3643710820761978,1.8093517817813638,1.206164499428471,1.5261731239941025,1.8351666965192612,1.250621639580857,0.9064015239675021,0.5503783798245805,0.5918907137703763,0.718147722418007,0.543086460531796,0.5862164859893283,0.5721348484227154,0.5743804285356375,0.5933715729891909,0.5542652391016092,0.5884052116224624,0.6378635497250825,0.6279942101548138,0.6706674103438064,0.6633306056081114,0.7261637338508021,0.6936459659983033,0.7358195623692663,0.803177456170038,0.7944192095107341,0.8298127109949289,0.9046455099243641,0.8854346645662518,0.9855594512265718,0.9637430267562135,0.8090189595429296,0.8351262559263719,0.920400023687053,2.1331091597739844,1.1618944122453745,1.4201043172364096,0.7636631622536194,0.784921429266634,0.8456261215518012,0.7986267417512787,0.8194929754001411,0.6720362377796101,0.8770982189628456,0.7525171314644832,0.8936380659279686,0.710474679887825,0.8922483581819174,0.7916955198061789,0.768676341636953,0.8307423611778285,0.6057317566718206,0.5923229085395597,0.6250618760052833,0.749875084463697,0.7986536628107479,0.943898230394966,0.8021434815108125,0.7215322554374165,0.7876825807928018,0.9272834432640519,0.7545562717615488,0.7420264984666878,0.9412416015700655,1.0018319668691378,0.8345049794856129,0.8919285131215168,1.0046278236300856,0.9551544909188886,0.8776428157316873,0.9315124451409945,0.852334575356712,0.8100505619267467,0.7336067541290423,0.7179457266523267,0.8170730080207521,0.7120033118866373,0.6811560756363181,0.728556576287453,0.7492232738140586,0.669985807510781,0.6760200128812907,0.851829568913674,0.7935441761786209,0.768442747214287,0.8418919951679147,1.1263280830833182,0.9433104900009637,0.9043786067165074,1.0281741803857014,1.1030859554050039,1.3666873902234458,0.9394306549661972,0.7960454109340902,0.6950545734853928,0.9004088323723902,0.8008930179770697,0.876061450618469,0.8807179498389623,0.7500492229691735,0.62273381124684,0.5636934586690009,0.5341452542419656,0.5375546177872518,0.5302691239691464,0.5831317128366695,0.8787923544841597,0.5300463112068572,0.6147101389314454,0.663668278849711,0.5474684043420527,0.566557017022424,0.7325644945044194,0.7755218231198803,1.0789282020368378,1.557119210795515,2.6400217714693177],[0.5831507297826433,0.4340164959049994,0.37826740261329717,0.38943777477281305,0.3572830927630952,0.37968678545602624,0.3114842592421394,0.3663077865008768,0.3246905105215079,0.3122692722411584,0.3698894833856677,0.48956266770841567,0.3681425231775069,0.369779757007872,0.5400769688846816,0.5039676930052572,0.46713695434539715,0.5588185777366129,0.6545974777012377,0.5986149141822241,0.7100996659702077,0.728422500566414,0.8592511597444372,0.9830328783541303,0.7313102594351856,0.6893821031977444,0.5652625886907232,0.5106908418733673,0.4825889625528334,0.4750463410793644,0.6134234450342273,0.5564165798533278,0.7208996638504971,0.6567313870338795,0.5687953298155307,0.5376189634970013,0.5158466011844098,0.5083258520378625,0.47863269919735335,0.4788120362194187,0.6460149515658841,0.6269537859410889,0.5977499214993088,0.5939277689567789,1.5461249882442238,1.8379010208710183,2.558584060560917,0.9712986538530546,2.102857046471763,1.6942024532661362,1.6622393145542878,2.0466451594027277,2.342090378380829,2.3150078144727297,1.601371937212797,0.9957679366953748,1.7603255962537838,1.076113002450125,1.2637251734784583,1.038064303152007,0.9863734600539287,0.7998381095203533,0.7003012369078196,1.1343195734943496,0.7643767475291225,0.6837090898605199,0.8989722897846735,0.7366905478507818,0.9096412010788685,0.764988438243308,1.004791670564543,1.3185374622023294,1.145835371648158,1.126927002304024,0.7175486671505036,1.3665118430018546,0.6466716137229452,0.6806307100686017,0.6051624689711435,0.6117901391330945,0.6021816463680079,0.6111704289950135,1.2827966265738704,0.6500353210677843,0.5967794064379331,0.5074798919251016,0.5308839600958141,0.5875509156032277,0.5766168052951062,0.6388258229435912,0.6495283670156684,0.8673949253997328,0.7174848307015337,0.6876943018116328,0.6205799612378325,0.711203616953167,0.7033722775056008,0.617547003972042,0.5931849784063927,0.8125844617465754,0.6019555243165269,0.6601983866052257,0.5319824885890394,0.5434310346270265,0.5794788483357886,0.5033675941877664,0.720012060214792,0.4522462997919963,0.4648713778261458,0.6161071443417792,0.3905342519063556,0.3459507335192843,0.3418869571855363,0.36301508472237254,0.41415109150528884,0.4287180446992453,0.5042528276140331,0.5630906852514873,0.7233047042981734,0.6322688300530508,0.5585620393748162,0.4915992041888168,0.4741632226124264,0.378033380816861,0.32488391733097866,0.34241977614200453,0.4458202026473986,0.33265160688060763,0.3335700944463278,0.4016775046080462,0.35278944600818896,0.3881387193138586,0.3554498407967225,0.5148249932364068,0.4004803525231098,0.43346570916248334,0.7069023651728128,0.43760696957673884,0.5945415682465214,0.4908241106070397,0.8017066421689445,0.8106088206426629,0.6546381991547165,0.5624755159455765,0.45309120196561387,0.4401826003249657,0.4034252764954552,0.39587674718723026,0.39623308030658,0.41252829028660387,0.4506789168065793,0.5682295591166121,1.0394672352582686,1.5670598148480197,1.195333133439139,0.6932768257600915,0.5199049323604455,0.49137899619941805,0.45863757743591654,0.4739849177315909,0.3997961501528307,0.4247014962881811,0.4120871525730823,0.42470425633235276,0.4578920507271946,0.5637516125882699,0.5355061451239251,0.7223087059096315,0.8331484641268143,0.8384394144296166,0.5232924648675429,0.42588738468590165,0.4237283477871396,0.4174819861112569,0.40446749212815564,0.4856506705230666,0.4939612397713258,0.7238306454572169,0.48041564665174036,0.512395376221063,0.40929107784399654,0.40018217993861216,0.38362927833404237,0.40914575542167825,0.45602712432472065,0.6288245504757263,0.7696232524092493,1.252296388422522,1.6642949058483456,1.1044280753610936,1.3707072825086988,1.7267945181947841,1.1427887547338909,0.8466214955461059,0.48851311050906787,0.47971530091858283,0.6572620471407913,0.3936055103115828,0.4232096217393405,0.450078168830054,0.45710167795668305,0.5055869507439626,0.44228737176202154,0.462277695134809,0.5349526695311386,0.522932434713656,0.5337517464714586,0.543603162012561,0.6231914621797218,0.5686443048826592,0.6204232348178744,0.6966963488369005,0.6883735303989353,0.7374004308491294,0.7903752701271298,0.7735305084393328,0.914110166950737,0.8447540450600562,0.6848127766089273,0.7262916114790349,0.7889781910800852,2.2246995562831913,1.1280684594881372,1.493367594179951,0.7446888501016946,0.7632587451525724,0.812644675695049,0.7716654725248041,0.7684430805493472,0.5673304903210311,0.7734221757266786,0.6517672541882373,0.8261291098491182,0.5932403970416787,0.8461876733860583,0.6683715057930469,0.6637546582202626,0.7382530557323548,0.46501322092614955,0.4971710655171767,0.564929940633537,0.6950503455918736,0.7942721343491499,0.9887752853987704,0.8533181426212088,0.7061498999168485,0.7737141899948646,0.9564627227096799,0.7507952124071705,0.6973611620646432,0.9130682859346884,0.9552547388451751,0.7564905553357669,0.848437819861995,0.9668547951183993,0.8811658362707698,0.8042154459337207,0.8718597717746214,0.7729522777425533,0.7513698798404038,0.694757575170977,0.6776096598877979,0.7213369594328722,0.6181650873711326,0.6263498454891466,0.6292824280020272,0.6441104570454781,0.5480097449807347,0.565578021441265,0.7420388563372425,0.6678089361327095,0.6193168350094064,0.6821577625230112,0.9886642497871212,0.8181021404145683,0.779301269967368,0.8956660713425595,1.0210775692954401,1.2548206746712443,0.8333601338271908,0.6820168026286272,0.5821637363992216,0.8167992788353549,0.683415686852381,0.7376979976780105,0.7389593312902579,0.5915871207282126,0.45542259692245335,0.4143783253377966,0.39253538361099527,0.40694152257833116,0.44914099918584083,0.5438552389623168,0.8371393004396765,0.4254046756486991,0.5719475825544263,0.6211357306175134,0.44018224359228475,0.4911382131666459,0.7499423321042309,0.788212941899482,1.1377518513666702,1.5590397408063723,2.688037695912501],[0.6153451938311739,0.4687989664804228,0.3999852505202201,0.4259212131325309,0.41870260680822335,0.431760812483324,0.3759097488965071,0.4003740114632792,0.38801943017647633,0.42016068842233484,0.4592198685092641,0.582650168055643,0.48751027946334274,0.495980327258309,0.620895169778667,0.6006477473485694,0.5850625831385091,0.6752685017026951,0.7781721390368461,0.7352735530411149,0.857922925162812,0.8645374309233255,1.0321205526821933,1.1479161510638427,0.8446089781471339,0.809235703067354,0.672186206967118,0.6172901330642344,0.6064648450457161,0.596312603368031,0.7275526524135472,0.6700600771554028,0.8746807500532415,0.7992249699711359,0.7123422641143469,0.6705739315188362,0.639051649910554,0.6395256559000321,0.610621114663873,0.624056764361209,0.720818566353894,0.7535192832524029,0.7535223098341971,0.7322268577840674,1.73003475507788,2.032889844689727,2.827596237710776,1.243737548244097,2.143166625971876,1.691343890607794,1.80459946480245,2.033254863030331,2.2970993000008226,2.240620487036436,1.6434530723227367,1.098125637904278,1.8213114366106713,1.220575925875035,1.2645059472611992,1.2013178876061326,1.1410550172735339,0.9960658302013377,0.8909796297968596,1.3263792709469522,0.94465074985083,0.8445651388644944,1.0469857645491718,0.8577646559332343,1.0134599765898649,0.8517760108724773,1.0918047954086156,1.3760823574188858,1.1941472227145682,1.3002702563836022,0.8391553613512468,1.5171311023738345,0.8006426060195339,0.8347017033690947,0.7646455207546196,0.7848046815879983,0.7390432154564356,0.7062011699700212,1.2859557849341665,0.7325290296814492,0.7399058814151078,0.6206039220430604,0.6800982322949706,0.6995866070847955,0.7145559328895318,0.7746472393618268,0.7963779178708034,1.012938961245536,0.8753887902734742,0.8425079419055616,0.7459330070573365,0.8338171483885771,0.773891058924188,0.7274624904809279,0.681475113661735,0.8744542989785239,0.6991830539081548,0.7251971870714785,0.62998988407808,0.6175258527509117,0.6859686271581201,0.5642134160114143,0.7381873200779865,0.5015608947657584,0.4859481717714104,0.6367364899389517,0.4422040795402301,0.42316996622844694,0.41202650015656506,0.4488560085658673,0.49819030479358,0.5233536462395951,0.578416579894408,0.6677004157938461,0.8857793653625381,0.7418260554442785,0.6825234349663316,0.5915580908421638,0.5837216550286056,0.4965645543884375,0.4163408872109405,0.406921141944156,0.4481433697786607,0.3984203302548429,0.39739218097198675,0.4595678835189148,0.4042789656766363,0.4308925860696246,0.44168386103048934,0.5524196287441772,0.47822741385587203,0.5039279657624387,0.7497535820659806,0.5197202147978053,0.6755306971319566,0.5852611938912358,0.9052887196064368,0.9663899584955568,0.7529884146171562,0.6516166525897896,0.5660492503934531,0.5653426344424033,0.5089369435449476,0.4989801675912857,0.4762808389967069,0.48077135495504775,0.5248163176529355,0.6311796663272463,1.016421457186133,1.5830636776928542,1.2156437542012561,0.7343551654091739,0.6045481362982723,0.5688291717536653,0.5770550013628115,0.5239088575689822,0.47675052064375517,0.5292858333638966,0.5214186657460909,0.5423598301683556,0.5729103192822319,0.6455727316555425,0.628535402145976,0.7874362381314363,0.8828417828661169,0.9017681300307924,0.6171835354654119,0.5223562438332983,0.519987082729859,0.5305968802964461,0.49474314028675154,0.550261971952737,0.580640554143463,0.7731372805957587,0.5699614709801974,0.6136919547312104,0.5054197542415911,0.4812838613450565,0.4779231323158151,0.489582319787833,0.5571698585351776,0.7261978002417662,0.8345834353153193,1.378395403839681,1.6927017135243436,1.1278309657870702,1.4885219415241258,1.8964760963026936,1.2570868556380559,0.9130501088735089,0.5675498751740202,0.5126938808448794,0.6686059887632938,0.4230801473239144,0.4474687695978749,0.46657145282806567,0.4688343828393864,0.5282025153894573,0.4566267674149478,0.4678643688782442,0.5440288498151975,0.5396822191149222,0.5176743819340157,0.5272194175174092,0.6307452132194213,0.5648688707721988,0.6028696081002888,0.6954306671846937,0.6970568104318339,0.7267450737646342,0.7874000679413664,0.7501836941969822,0.889381623520005,0.8185312702583073,0.6710842534486654,0.707798371584235,0.7557657676560685,2.2145458394299755,1.0892455948303517,1.517390910374961,0.7611164462104498,0.7824060473383185,0.8392187446039,0.8303628991920936,0.7571277217927624,0.5719678190285582,0.7793713243181873,0.6690009441377917,0.8148748489742631,0.5967247073861223,0.8935336833671681,0.6663724675152041,0.6549076534912184,0.740964342531528,0.4867390997385832,0.5343893728645859,0.6213257468596596,0.719584729222883,0.8351811015386945,1.0165622692437168,0.9237861229143195,0.7539043268875111,0.8141243959419405,1.0184136703403435,0.8022901142155174,0.7371951431139043,0.9562680944533865,0.9961534875366045,0.7916689954974363,0.8757867806673266,1.0104793549906461,0.9033378646225759,0.8109195221974483,0.8859349463552141,0.7825857893166758,0.7666701463347155,0.7098863783163695,0.6882342732221685,0.7249087630591529,0.6245489563909052,0.637997371116958,0.6227008950011726,0.6394853026151986,0.5449605507375525,0.5628715616068874,0.7324513070837989,0.6633913335309913,0.6127072955214111,0.6732283575547244,0.9751473903306833,0.8133468399153113,0.7630228970223012,0.8896963243941383,1.0291206718458272,1.2211899644669413,0.8147545351210892,0.6582032590089933,0.5674077765831484,0.8041731453136173,0.6642203739717647,0.7411276051957932,0.7507171215575874,0.5727869608634577,0.46021086748542783,0.44527545713300154,0.4271644137422555,0.42739341007394777,0.4936133924938481,0.5835232693613702,0.8889634886032225,0.47867665430185324,0.6011529074180776,0.6743433938026121,0.4980229289400358,0.530941744242742,0.8026590632073205,0.8247550466665251,1.2205255699881472,1.730183482412074,3.036587343569313],[0.6371876934938069,0.4698917664989467,0.4007657046798307,0.42343807697994656,0.37950902688406246,0.4215044597250403,0.36049773197601886,0.4026309936873711,0.355286407529725,0.342464089023325,0.3915916859426784,0.5230004380042036,0.4171000074360958,0.39199793774589314,0.5670443084997479,0.5520115435385275,0.5061946427960893,0.6107303979978796,0.7115421092049368,0.6556115046304255,0.7687236049080389,0.7801590511756276,0.9407906529300358,1.0577709021139896,0.7626913878815426,0.7298685042744525,0.6053176552010117,0.543212515570687,0.5378983902053344,0.5352533147460078,0.6798472227772364,0.621943996802233,0.8124370120690481,0.7517630296788631,0.6570314041167031,0.6186725828815166,0.5835093875958564,0.5789841648576685,0.5389094140936628,0.5579301977226409,0.666757683088379,0.6840460494933214,0.6796723468323175,0.6357331672675613,1.625244981120935,1.898056260450747,2.651591497757286,1.0781097754884617,2.1522692558289767,1.61863161436423,1.7104907560925338,1.9792197892197327,2.2793710947998527,2.2679635864513994,1.6773797944655389,1.057322569678354,1.742073514786141,1.2261730442927856,1.2761355075296947,1.061113672683299,1.0614752738665016,0.918646884718283,0.8345837617760822,1.2449537803818354,0.8612168140703472,0.7691039878285535,0.9924113972761889,0.808132615743437,0.9671343839643108,0.8016352212022325,1.0743455609458392,1.4502324204985606,1.2287891977331598,1.2532549918975837,0.8099830237706478,1.4713912305053427,0.7654566577132161,0.7963627233050206,0.7224188961430079,0.7250251622460209,0.6888653498485182,0.6708831969790086,1.279639070687656,0.7355674196044916,0.6695451402266257,0.57529428425679,0.6183724225288212,0.649989484063993,0.6678158487602853,0.7428837698214579,0.7559828201014833,0.9520966850704807,0.8116394170359409,0.7852517823146162,0.6920160954641704,0.7704441596263134,0.7345693382170199,0.688255334680844,0.657416312601729,0.8540168055227588,0.6886900562188497,0.7251208749784549,0.606938066950049,0.6220887127859569,0.7121606286785459,0.5594011664860852,0.7686587685772858,0.5106406958461407,0.5151319316039867,0.6930067829677469,0.4601412142565873,0.4054135650535388,0.3789007864532603,0.3913837217923811,0.41350898567100386,0.43066849491779474,0.4951704629911951,0.5452753866776269,0.7640707973007413,0.6547055378610744,0.5592792640792733,0.4867291021969288,0.4581115017569949,0.39096896106226,0.3507170261855061,0.3523455773806573,0.44335780733178615,0.3841185585834971,0.38810886019661067,0.46351327928741076,0.4075578831610664,0.46192000559181967,0.4023151742051377,0.5746181999949358,0.4222264112280997,0.4293179063363089,0.6733653728740092,0.438154082795395,0.6013006924183101,0.47173342262703377,0.7688964030764609,0.7990480728930864,0.6413285856442942,0.5483897985886825,0.46774083963521085,0.47942231150868114,0.4229877545775823,0.4364253382818392,0.4455614650085778,0.4563119010450643,0.4975197494110836,0.6008636628617837,1.0115782489325822,1.604035018544091,1.210109403390724,0.7372090695616708,0.5784375636291084,0.5564487330225146,0.5395169545007537,0.525411927894635,0.4442709828641366,0.4638113587962561,0.43454814318948315,0.4634175555797254,0.5035926736559677,0.539795291724188,0.5247142533509771,0.6842813654311464,0.7676890088923991,0.8158798529412595,0.520474390052536,0.4285522507399606,0.4492448718182859,0.4715055093415426,0.4538955580330916,0.5402860994393702,0.5447182780754354,0.7830366908994887,0.5302733912558503,0.5950652532115743,0.4496729300431448,0.46202243420681705,0.44024198347335347,0.44521201917815,0.48326105154714416,0.6415889169010498,0.7591884014607274,1.3198242583198267,1.5885673820048507,1.0356645506857647,1.3854761701382905,1.792805945280466,1.1232630689558152,0.8000169595391127,0.4945981495222671,0.4872271783200794,0.6991813258058832,0.4401371781029091,0.46115866097832625,0.4998707612544344,0.5128433919711068,0.5750639531902945,0.49716895370295305,0.49588514740597434,0.5802755170721191,0.5702248212278004,0.5512622547066326,0.5642154063661767,0.6685271400378062,0.5968948190349774,0.628999289808072,0.7126358407325671,0.7157321681042637,0.758642733504889,0.7906446563135727,0.7626950898299152,0.8889480709308016,0.8068625679552374,0.6703066318533586,0.7159520731743219,0.755042868489735,2.3813414849555254,1.0771030330025093,1.4892467033276013,0.7959108563159941,0.8490259912926093,0.8986485888244552,0.9014392665257274,0.8239118678544995,0.6346749809240537,0.8498177827182886,0.7189381319733636,0.8330261279878044,0.6191162359475124,0.91817885884967,0.6266717208167045,0.6564458801735087,0.6947195556797605,0.48135137628024965,0.5814705721760832,0.6888905552768123,0.7652226097286614,0.8840128268869999,1.0865134794445823,0.9838117266384215,0.8012644660098471,0.8784283893140302,1.0985814859139609,0.8381582179126843,0.7975156734797337,1.0154296237053544,1.0449557557453537,0.8259235031303179,0.928739153403183,1.0584281413658154,0.9369969327451378,0.8438407770009854,0.9296303069357444,0.8229565680630649,0.8236826005667757,0.7711906314864493,0.7515064967309012,0.7646536302589922,0.666055828572132,0.6946042960029073,0.661628146990034,0.6568770466801873,0.5722673689657851,0.6094416198549002,0.7112589485919034,0.6527742243974691,0.6080731830317395,0.6575714498263965,0.9483784350773657,0.7841608823143964,0.7505898024583265,0.8742749290332078,1.027756496067116,1.176540616102651,0.8023224980890212,0.6722597771069235,0.6016666758460948,0.8471432710703573,0.6861426083792909,0.7289955470286033,0.7551078803473056,0.596732013074529,0.47801030493908536,0.45261929133695084,0.42873024192665493,0.4631255832421107,0.5386106304042321,0.6420279084640936,0.904964379836948,0.5019166988450435,0.6427384674362729,0.7241396196963329,0.5182548635706954,0.5590295629033148,0.8684844831386644,0.8804309933238422,1.2295430806959888,1.6966045079672352,3.0893302537403504],[0.8178652086498379,0.6849487809848713,0.6690122068953396,0.6414929877892683,0.6231978733222286,0.6441696339765126,0.6180039106320738,0.6821384074804705,0.629445828847551,0.5680989854718576,0.5957517684283196,0.7649633961724039,0.6291715519355217,0.535194354111836,0.69297872606536,0.7116172157654027,0.6486210412181106,0.7295049010157264,0.7975738873973526,0.7608212901557696,0.8572455497115884,0.8708962319868926,1.023460373750506,1.130401936140605,0.8410675130489583,0.809092270324759,0.7149486163962334,0.6810379526615526,0.678728339719721,0.7127108530463605,0.8147426395709879,0.8029099490453476,0.962174096612103,0.9198538705251998,0.8337625803867292,0.784050865336656,0.7670420820093184,0.7350981137205272,0.7115897133649206,0.741254687767859,0.7904844520838361,0.7955776402679362,0.8153728718712802,0.7817514320597296,1.7715924237860827,2.006211932579228,2.7784271278636634,1.288099742155943,2.214628288968051,1.6546507438019773,1.8003218216347212,1.9791622103618847,2.277207518637093,2.2528422365113703,1.8128154203998887,1.2024322313195794,1.7423876829305212,1.3996616223506755,1.4176274215813458,1.1290532297616227,1.168923476476918,1.0495584794273773,0.9811225432943783,1.3983523168182486,0.977134182908153,0.8808825000778189,1.0934303836347299,0.8935595538936949,1.0063808188219165,0.8755437803536844,1.1653047605609426,1.6006639826194857,1.3455223085009678,1.417983276209449,0.9332322916161485,1.5681244367909413,0.8949459948588797,0.9429316880198864,0.8802924513390958,0.8910224735209594,0.8681515334511954,0.8347122596020475,1.3570361878845036,0.9571672557511598,0.846043115669323,0.7667136055672807,0.7916246349422968,0.8352658175256475,0.8313284230659252,0.897620804657128,0.880322643186087,1.0804518707592903,0.9347789404953138,0.9313954208081746,0.833219456223559,0.8883284632256349,0.8380811468924468,0.8678301600111251,0.8647515498610806,1.056011212913219,0.9149275231764376,0.9679682817362545,0.8534652695599236,0.8794544961331886,0.9992933174893864,0.8134628889867722,0.9679227959418335,0.7770111937049076,0.7681503443148683,0.9059601439097348,0.7367717953399626,0.6687852515347529,0.6254740314400113,0.6228746104963987,0.5941836232618349,0.6192504227340491,0.6463510335312367,0.6567609639638499,0.8997150901301011,0.7847760987461309,0.6996786329041681,0.617288252322941,0.5895391619261924,0.5511279351674818,0.5575485198678436,0.5770143924889496,0.6615526518715052,0.6580915740802993,0.6674632973059506,0.6930401153435143,0.6545830864175474,0.7160660879340913,0.6568842598570984,0.7980489388741572,0.6513069362346796,0.6298071657286546,0.7903779198926534,0.637123485494809,0.7574343215300438,0.652526726820071,0.8577761585962306,0.8583472426257299,0.7119331501157545,0.6684010848611104,0.6433833486003506,0.6737821006045402,0.6236412690267765,0.6292330829147992,0.6873424886269492,0.6942311282995665,0.7580532786822389,0.8516913098859995,1.1696819418409856,1.7936247085571233,1.3293565563852958,0.9621887213117267,0.8412627689916796,0.8292875739750555,0.7891579407500259,0.7801945735962663,0.7031264234728896,0.6712806357580252,0.6376471749035488,0.6585819019885057,0.7026955690770595,0.6708007413083918,0.701858626744805,0.789982733029323,0.8484834598186707,0.902787662755459,0.6901758386286533,0.6325155887070124,0.6764246330855136,0.7019148084697093,0.6947656883374793,0.7677816386599833,0.7598087748949041,0.9287513189700628,0.7271903261307425,0.83346354541561,0.6756637287349155,0.7314079794829482,0.7067974427304721,0.7018761908158333,0.7067886083226774,0.7836980504640955,0.8678848022531921,1.413402016871179,1.5727288996599982,1.1082048631717483,1.4199641720100176,1.8621140424718432,1.2185275490223502,0.9344566572172788,0.718120721728027,0.7184317383009706,0.8911188575824369,0.7011437592899363,0.7088254988446733,0.7550356781810887,0.7938152193676454,0.8478242015879028,0.7697601718183501,0.7534334541648856,0.8469674680221153,0.8321941186393359,0.7949792535544605,0.8224863619386226,0.9341900359195704,0.845581058323968,0.8534707386572015,0.9463676058382994,0.9510327044343976,0.9513385496908942,0.9612374370724385,0.9310669957866164,1.0412677442260558,0.9823577625613266,0.8842482978933187,0.9497387421966006,0.966295877440976,2.5924843569954383,1.2029482536301888,1.6029267277527612,1.0621121854730575,1.1471171410987435,1.1858255223436147,1.199157095918642,1.0985874083223066,0.9138384905094789,1.0831630403338404,0.9756434975108927,1.0031101242058003,0.8313657147989872,1.0699070535367685,0.8030257070849016,0.8603926373728729,0.8463286552494378,0.7324999815861517,0.8471317702059793,0.9592836304766579,1.0052798565233472,1.111036162740354,1.3506118429402991,1.2522684744099932,1.0497501611719715,1.162206892786576,1.3548582854180948,1.0848087090045762,1.0730166283922153,1.2694819955491192,1.2805989645227496,1.0736638150996098,1.196618468513869,1.3183206054298524,1.170297259918633,1.102194899197098,1.179623342271206,1.0857471989263165,1.109654143894665,1.0583995628097,1.0504781530957834,1.0432005485845945,0.9490290533140321,0.956835516723938,0.9402856521507027,0.9214842327390443,0.8279857370311992,0.8787113310050747,0.9238057532353221,0.8581391452651919,0.8307783118950316,0.8552709194432162,1.0737944580497591,0.9342236853679209,0.9153133997321335,1.0018144264005875,1.143277607559855,1.3021019776023814,0.9309956451974164,0.8652364572729512,0.7957078912272789,0.9467253527220866,0.8050501287879795,0.8235016896936971,0.8357783750998634,0.792487102866581,0.7198662376919593,0.7035111178277342,0.6804620618433654,0.7262420502657077,0.8290883948901937,0.9325134422850894,1.1159699973890909,0.7804353957593418,0.8780829083146191,0.9742209988988568,0.7839936742456388,0.8089366709434251,1.118781933151241,1.1098599001958993,1.4188434105515169,1.8598489106840694,3.2412477002531985],[0.75061965841223,0.5833741141173231,0.55552477616021,0.5433196075467319,0.49181710239524595,0.5443970052698207,0.5062197579151255,0.5617440263285118,0.5095630214620622,0.44973392990192124,0.48567298114399565,0.6635523876076448,0.5257042764897172,0.4820298686980351,0.6159284891325955,0.6100765233346245,0.5658237428769824,0.667882664023556,0.7603611147567696,0.7187246040248124,0.8427450129990685,0.8367165195098354,0.9985304928196286,1.1154417484530748,0.8038337040900875,0.7759801870357365,0.6556996854862632,0.6128605074785392,0.6068726613970901,0.6162444887526788,0.7201762315456544,0.6920452128951187,0.8928391139422269,0.8162542910980529,0.7267583848128546,0.6895561476425525,0.667717297536379,0.658945799336338,0.6274323165524462,0.6521977793873782,0.7160551313131153,0.7439920709166105,0.744013684679728,0.7174910157655879,1.702903317162356,1.945180880545911,2.7170026963261047,1.2041931510232065,2.177528401654666,1.5933018000261447,1.770018212806463,1.9597168100453477,2.2583275836799146,2.244251567613888,1.7726060744082048,1.1514131426466658,1.7475918561500952,1.3534051218833756,1.308460384597274,1.0966343339364621,1.0961304385396364,0.9848892385474138,0.9015372276038288,1.3401120849010246,0.9402081631145078,0.8371190522578295,1.0507943949975227,0.8616114844886089,1.001927017354866,0.8433058782041717,1.1629142502615482,1.5778178554154862,1.2916545618485644,1.3512785305373576,0.8727146076314002,1.5183690767635514,0.8289265350171239,0.8578478081747722,0.7944333692124652,0.8009087036089438,0.7711758202255092,0.7471537508785773,1.3167139603904208,0.8364825850877549,0.7604970554376619,0.6663222837521608,0.7009188877350309,0.737213417643962,0.7385729305571023,0.8001469536780953,0.8123651996312204,0.9885711953428482,0.8496989560667318,0.8341340021758242,0.7387520517150542,0.7997814188727228,0.7588934389908023,0.7622748342557701,0.7647275317705974,0.9947809696156958,0.8008147866554044,0.8543815423633732,0.7288564638534956,0.7535414892913022,0.8701612690232166,0.6825386505790558,0.8734650225567091,0.6413524882094567,0.6337651618755142,0.8107511228649614,0.594423093024902,0.5213552509523643,0.49280204529484906,0.4841196161290338,0.4851864724515342,0.5203282158074567,0.5753089682641982,0.621818888476872,0.8601056263416679,0.7415479448240795,0.6563439968495136,0.5739151097214433,0.5378916780729812,0.4665933449919677,0.4383047404969967,0.4484566585413288,0.5276108906375284,0.5146206839349384,0.5268165500667886,0.5612334763426209,0.5263406683895839,0.5752813127679504,0.5211523983487386,0.6715992533657541,0.5218212679173723,0.510664524679798,0.723881702326666,0.5304836713344906,0.6753010475909341,0.5509660035066248,0.7947048251646904,0.8400520027818232,0.6951692192102763,0.5994560960794768,0.5549329637156419,0.5695175832699234,0.5138229048929792,0.5230862906858659,0.5643626126861512,0.5701293533097073,0.643904019870966,0.746802804917365,1.0769949542821278,1.709894163358002,1.3233571761262048,0.8762206579220237,0.7221715320441399,0.7041117352290703,0.6680390657978813,0.6367210365941466,0.5608302502179336,0.5508293888072325,0.5319503429320651,0.5566615707123445,0.6004925045000207,0.5950513427284304,0.6000536709650337,0.7214418941780578,0.7804186541605639,0.8538136120804889,0.5964392337029558,0.5225254413366086,0.5381898640066329,0.5707140579542719,0.5619563799176553,0.6487310916027587,0.643325801352946,0.8672175511627296,0.613881054548305,0.7014965110694575,0.5527810283752544,0.5883203011474469,0.561015961743325,0.5612940552176497,0.5811403733641817,0.6893138375977287,0.7860901775141951,1.4156271452354179,1.566583457669623,1.0690121870688223,1.4224490431478674,1.8492428895814066,1.164233845515502,0.8358770208341674,0.5878719224567125,0.6005096714342202,0.7865986316123262,0.5627302360047278,0.5799295285780145,0.6179221617253753,0.6476858731454719,0.7082864347833766,0.6334366884590285,0.6272250740541566,0.7050306314909786,0.6992542396222521,0.6647998661995659,0.695448559930251,0.8065521792973434,0.7234253063479591,0.729781632245569,0.8254145247914119,0.8463090317410388,0.8480757387164691,0.8678092475257395,0.8341362687832286,0.9624069415868497,0.8550371126087396,0.7684622787155078,0.8214913496394434,0.8297872847374731,2.4933154635017445,1.0925024651137847,1.5611084968573823,0.9270175814354744,0.996162939161141,1.03269167877605,1.0315237112352702,0.9320805337531638,0.7558733380881757,0.9487979823323391,0.8417701172543071,0.8753478976069612,0.7086503829458777,1.0059957515744617,0.678884531934414,0.7273883654217244,0.7810299336543072,0.6065789110696945,0.7042823073470599,0.8098870014251859,0.8763014640119171,0.9805180068186865,1.2236225911241896,1.1066229569019939,0.9040488120006648,1.0069493060517478,1.206946328278247,0.9443537272741289,0.9244585066967429,1.1358837348693278,1.1570055684115212,0.9529520199939765,1.0586606512738275,1.1874651453610199,1.0581645296188475,0.9810487897218584,1.0518177122609267,0.9548892127499163,0.9600843196988825,0.9102763825502165,0.9019008412387213,0.8879142577567666,0.8098041101363158,0.8234187920276298,0.7828328177857843,0.7802993771778891,0.6912690404519516,0.7330855624118613,0.7895767031487755,0.7378018803053545,0.7075440002384907,0.7458278547521513,0.9762080911096286,0.8482407937144125,0.7962400345136852,0.9027511090916589,1.0686847311488121,1.1642370735722587,0.8306346539442707,0.7388003144150947,0.6870121312753231,0.8802679043842468,0.7171962319247727,0.744436596245782,0.7675870069994813,0.6640477172494877,0.581424635207729,0.5750149637369001,0.5552219426191851,0.6008242929926755,0.7025243034892545,0.8294349469347213,1.0382731792543873,0.6557764557482147,0.7819640230626408,0.8829027140652139,0.6666927148646056,0.7109954906711154,1.077737776619651,1.0430031427866966,1.354496396545795,1.8628408731615382,3.3682874665740705],[0.6476392891916433,0.44231675235214274,0.397129273104642,0.41561643518349967,0.3665002240721459,0.4137589677314495,0.3630672386088859,0.4164335888025359,0.3639941739632089,0.34580407039132316,0.3935396455010292,0.5893874425907585,0.44108517339582365,0.4130913318214788,0.5660574887474689,0.5722876310111528,0.5260265974095146,0.6438242044910442,0.7484624062231664,0.7047254862215806,0.8363836487868749,0.8263535971902488,1.001849744941581,1.122467908934283,0.8026689512570675,0.7702147344766594,0.6388637888784385,0.5800206603173849,0.5691255403141077,0.5706343368128187,0.6908171273537611,0.6625892250432522,0.8832915787587261,0.7828809899664395,0.6943241049300368,0.6504603632504224,0.6320312288669242,0.615341543290755,0.5923233058913808,0.6130702201104924,0.6891631247633593,0.7283626309051415,0.7222886504479522,0.7108680757721129,1.7320371571938686,2.0087386759678423,2.8048558960973513,1.2536658823037523,2.157465753441494,1.6023909631803464,1.7722925241439198,1.9266673100397376,2.1983369038160716,2.1613343097201607,1.6855529690798052,1.0764972488567957,1.726053121551933,1.263213311028026,1.2393879592589498,1.109166792972183,1.0996622705060046,0.9501470870660311,0.8659404677213938,1.3197131893574647,0.9257036226326301,0.8009982909528641,1.0287598303153367,0.8442452347577218,0.9963312765654093,0.8150943701071572,1.125286220142558,1.50107663119418,1.2085377692108183,1.2978009589072619,0.8270934358522513,1.4813619275738323,0.7946809621824619,0.8101951051635026,0.7523681040330233,0.7580303630734954,0.7432008673201161,0.7184789651537445,1.2583635728537135,0.7508978001835892,0.729469967220607,0.6141140250991188,0.6569310981165973,0.7063959980529749,0.7012309443664881,0.7579230338734902,0.7774625502704839,0.96265134905569,0.8280141142198805,0.8087896841373013,0.7097181532066537,0.7930647086201115,0.7203198674833082,0.7366160854696631,0.7152901524261172,0.9598881459730596,0.7316038853130906,0.7673679787903536,0.6524664899640429,0.6686913877136023,0.7649940893442084,0.5989938980810002,0.7957137281470748,0.5231716945027516,0.49034812938427924,0.7043320463944768,0.4569584129382897,0.3986377112707423,0.3635733312564686,0.39579517047098906,0.42835853968045,0.4686430238999835,0.5422133951009174,0.5994883870618487,0.8455416112641907,0.6996861768933244,0.6202323116409084,0.5281914776235052,0.4974945077629414,0.4092577267797865,0.32962431073261306,0.33914405660413816,0.38083884020942826,0.3878004147568108,0.38323810438789857,0.45446678404796,0.39747873487793367,0.4386126253917567,0.41815012594071177,0.5830274977868942,0.44282177143615276,0.4405092498450912,0.6795790151523354,0.4623529663633502,0.6282452533890586,0.5209483749623303,0.8104665244552952,0.8704907133300447,0.7025097871729915,0.5926027097161627,0.5206874504660419,0.5248517914776886,0.4632285189486327,0.4633759935349338,0.4759009076741981,0.46326996912216983,0.5491988263732424,0.6842557517503867,1.040407546985882,1.670566233709215,1.33114327854585,0.8304943202381122,0.6584849845147717,0.6291898670801274,0.6009927926403632,0.5432128871483763,0.48790960486428303,0.5052918364949405,0.4757791203377738,0.506806680869601,0.556502220237445,0.5618572836583399,0.5441655548126858,0.6853664030682451,0.740442439771145,0.8182046217622335,0.5329753322990175,0.461608051814976,0.4912313513111896,0.5047584913615892,0.49114930325551437,0.5713275631067057,0.580293986344398,0.8136018111181155,0.5495898404728243,0.6392434331327101,0.4920827536612593,0.4974636935133357,0.477156532570469,0.4772023601670434,0.5200619625476601,0.6885755561389145,0.805814596607521,1.4523123509853195,1.5762618411155724,1.0722648402494075,1.4514165692487224,1.9043671516448752,1.1769181838523795,0.8129071030371378,0.5076387187889673,0.499195718992377,0.7136409931461624,0.42257280367894995,0.42472074350154926,0.4624643485784549,0.4849122115536715,0.5649040818785641,0.47223336049722914,0.4648598302928731,0.5616766867553011,0.5636467619246343,0.5220534748322109,0.5346146718855955,0.663578127609822,0.5805751078813549,0.5926957763320424,0.6859226455701727,0.7186875610085258,0.7481869804065889,0.7546357155782305,0.7395745346463309,0.8506506168273819,0.7499314329501486,0.6202952207925795,0.6654047361833874,0.6989280669207685,2.447044324244114,0.9733149924411912,1.4130012334787758,0.7492263037137071,0.8400564383711038,0.8966591907364728,0.911421121022396,0.7823942651395976,0.5987438315913468,0.8285339181779543,0.7246097340770188,0.7654686867768304,0.5699944063449714,0.9209715013561628,0.5520916948835994,0.6224964967102979,0.7397322446992749,0.4723819185608511,0.5790354076483697,0.686713934617251,0.7764267265525375,0.8897571783354558,1.0951550097817129,0.9903215134000717,0.7980779395228979,0.8775650256523994,1.077971113968841,0.8390626025738613,0.8000929547620493,1.0167846172309365,1.053259962339347,0.828370879070208,0.9152244883983784,1.0519263637083351,0.9409610109339773,0.8327177958182307,0.9086580723095666,0.804012943367871,0.8000536200499332,0.7529841372060043,0.730817594452829,0.7213919763461479,0.6399095658306736,0.6517168514639604,0.6018573998074058,0.6085697665949356,0.5267737268331776,0.5562312964658392,0.6507231061563682,0.6063481431969696,0.5755442758790226,0.6115400132400062,0.902108970049715,0.7597013670259984,0.695842553010499,0.8563495849427032,1.045524033975548,1.0477581401023714,0.7436650865997707,0.6272381412522865,0.571608227303177,0.815819980107827,0.6208978456296037,0.6578080757819922,0.6863504658175414,0.5288503751873354,0.4261739663143525,0.42324392719832643,0.4024683298998127,0.43337704608354377,0.5625900198156777,0.6801189745948212,0.965171318512133,0.517244444449588,0.655094875310799,0.7897130505900458,0.5443768167211409,0.5904819480265096,0.964010570615123,0.9511421152695893,1.2760225289466667,1.886408621779027,3.3813300211223076],[0.6289708754605404,0.41565374525644844,0.3711982373738818,0.4003317413736983,0.3564831982911091,0.39657973197663965,0.3414383595237612,0.368098903587111,0.3274430748981295,0.32779199812049115,0.36903020492659805,0.530096555094139,0.40301080630591174,0.39448251661667827,0.5451202203080006,0.53005133636859,0.5055495680523868,0.6148983052394955,0.7099946720801144,0.6633299332088578,0.7899200321068678,0.7936770622573821,0.9383150300020799,1.0525613978812836,0.7594267015925256,0.7313182897044787,0.6130079974163934,0.5555185240456171,0.5399704164179873,0.5281096624750493,0.6411503256130127,0.5847929688246447,0.7840061930198602,0.6841814796117318,0.6087438906409477,0.5894567527729228,0.5729191433056363,0.5727126290443907,0.5521349678934784,0.5633449120900629,0.6725722550418335,0.6857345770997165,0.6690181024924666,0.6599607856074443,1.6583974010790652,1.9276030844482306,2.664866612516204,1.1316824130369878,2.1613472483354466,1.610676900977637,1.739246612301831,1.9658754776997622,2.241488993291373,2.22246203389061,1.6428344117319125,1.0333599739081325,1.7451816660648936,1.1815981194281768,1.2277172992569119,1.0819585942072905,1.042602466255728,0.8597694790420218,0.7645790655952198,1.205920434893481,0.8391151455900495,0.7420123175348814,0.9698942110768469,0.8008289189808748,0.9617958914842608,0.8057810016714971,1.0772864918887604,1.4535626116661446,1.1994268595249193,1.187242461525306,0.7642336716411036,1.4130205019533104,0.7080939424923219,0.711406958910609,0.6600568532673962,0.6799213161123383,0.6675084452245168,0.6631929636229432,1.248599732909826,0.6856859761795674,0.6887151628556237,0.5639079754573841,0.5967524413682253,0.6354772954061628,0.6344397192891477,0.6717020178166021,0.6995547449167947,0.884313601807251,0.7418706574320151,0.7096087781905769,0.6375231645662552,0.7261530777516708,0.6812962831240744,0.6453543390761256,0.6274954037336143,0.8734501195034478,0.6350213289759006,0.6735623466752462,0.5647878683517663,0.5963169725862927,0.6824302024356297,0.5528522221437573,0.7380000953741311,0.4826938123595599,0.45380780312189006,0.6596310624406144,0.4221489413895635,0.3664887755943997,0.3445072496725234,0.38818238230103846,0.4164053465186018,0.4506983189154221,0.5165290540304706,0.5779408581626782,0.7861807296877166,0.6824923895167122,0.5941992885879115,0.5051953890189079,0.4732865625348315,0.40115509739197747,0.32970237650913825,0.33818199284872846,0.36244827499110926,0.36915116761280903,0.3610951022575138,0.4259070486258746,0.38174282591915865,0.41042814841695063,0.4007351649188967,0.5477594429183911,0.42538431532606474,0.4303236429206326,0.6770285751238676,0.4657916805547526,0.6317898358383919,0.5013046325830732,0.7620589398983217,0.8181009811840696,0.669564440397657,0.5543114478587149,0.4897988900476649,0.5017445910438649,0.4413550811239244,0.43439765568040295,0.4428303403102861,0.4313952419313991,0.4920434820777421,0.6330538019507697,0.9788966064006537,1.6019285090912765,1.3078348841173946,0.7574876580103388,0.586812915463985,0.5532300916131818,0.53221902628853,0.49357662825506127,0.4574339912598284,0.47993119362475717,0.4570693998844838,0.47899416016248125,0.5313045257398461,0.5542182995500299,0.5375006404850429,0.6768930959119623,0.7409005980529337,0.8211188392672151,0.5331407743107514,0.45790710690334946,0.4724197526288664,0.4747410834778312,0.4478971438614245,0.5188186690126486,0.5285176678921161,0.7548071435862632,0.5044232560670698,0.582037374454424,0.4566719938242082,0.4524220421060145,0.4356576594775761,0.44106631339833613,0.4950917730606859,0.6694565064416745,0.7902287974916176,1.4074722623904863,1.577645509303585,1.0570063808262542,1.4404315250739912,1.8908682863493886,1.1755389196438328,0.8114365131224582,0.49751730481375483,0.4871485623632687,0.7041730816331411,0.40245597297302255,0.40340509248923667,0.4315867724482804,0.44230354260539395,0.5167222822664066,0.4336325064476789,0.4314347769822863,0.5120340769928028,0.5182094298695757,0.5036019379401213,0.4949306368513785,0.6083979354654581,0.5405862135038736,0.5542429457059624,0.6340527123522922,0.6740588345868196,0.7252609269693971,0.7166304200390221,0.7184403413932998,0.8187373279160383,0.7245956211440527,0.5814286395602972,0.6215222727693063,0.6582110368276294,2.410905193534173,0.9467865173640365,1.3838175745877581,0.6943502118595793,0.773542111794947,0.8301135935594958,0.8526170872825313,0.7206992368193076,0.5547584010667616,0.7932373351174173,0.6964883312633097,0.735362286013868,0.5404448122875747,0.9088080747856985,0.5426051250253011,0.6091996983978908,0.7284751755650828,0.44789949682546265,0.5428177924066946,0.644606447520257,0.7304361245464069,0.8504114861214525,1.0115750364505605,0.9212444411349133,0.7458651616060279,0.7917084713147473,0.996458747212565,0.772091223482614,0.7301253567619495,0.9358516100636397,0.9820102341614151,0.7738397181717654,0.8421522022193082,0.9775587907548278,0.8792485867211801,0.7669142158027222,0.8312164342968364,0.7357079630087585,0.7222457075325588,0.67905696523701,0.6556253648752297,0.6618329095476376,0.5889376297107592,0.602928088992324,0.5560581942070463,0.5692325406007904,0.4907788899213809,0.5151631284235791,0.6278647270933727,0.585291879771782,0.5532984612465458,0.5920107214081423,0.8800498342853906,0.7489431951744987,0.6872737717119217,0.8610845319992155,1.065359315663768,1.0153358282685223,0.7388237958067335,0.6171616456448751,0.5636454979243793,0.8155283492051996,0.6166935257911249,0.6500858169643369,0.68072462775573,0.516518090273111,0.4203453442044773,0.40731239515564127,0.39179767010500216,0.4108223700204263,0.5122969562339046,0.6178984876656357,0.9357903274307693,0.4760245797528737,0.599925292528567,0.7388999150970064,0.5064214554313041,0.5539585482837752,0.916819447004033,0.8835658798806413,1.2290204078698308,1.953253454423973,3.386033363810706],[0.6669861112182356,0.4722243434401505,0.4370938830769994,0.4385061039315849,0.4095036659927932,0.45691769880073885,0.42198248977054564,0.4895668782455853,0.4371948345267664,0.41571995504982645,0.4437326308427982,0.655588995113304,0.49475011943487596,0.4667288733815783,0.6072231918770802,0.611994935552321,0.5666144312274926,0.6997025040129725,0.7761391152626361,0.7480698145225704,0.8805422703256822,0.8630419836380782,1.0155647491770163,1.1164052033816425,0.8269111605560899,0.7983947053893306,0.6947130475341996,0.6382488995093925,0.624726866132861,0.6152389099720358,0.7067533836236792,0.677608459312581,0.8684310686182658,0.7561806229800901,0.6929577268872187,0.6736312683959843,0.6530519787497434,0.6639869148971369,0.6414402919614044,0.6569807936872296,0.7378726128643307,0.7706981275202277,0.7534980541766245,0.7378793350385853,1.766197740356391,2.022144293307696,2.770224349505155,1.2574859006168713,2.181011195204486,1.6107570327877496,1.815055652360749,1.9332627438889534,2.2497491729606613,2.243289154958732,1.730505062872034,1.1104342973291166,1.7698033516705198,1.318625846175321,1.2357770432828579,1.1159018776850087,1.1281552849734828,0.9518376708993109,0.8610682689244342,1.3123513790411698,0.9360632943622508,0.8307823710944832,1.0764632646507164,0.890179921746579,1.040145716527451,0.877712077261403,1.1758802475056027,1.5918358103151002,1.2802269243343458,1.3004122545924928,0.8457920254260295,1.477888268995566,0.8004293423966059,0.786742578177013,0.7443663934699349,0.7663569563722936,0.7486587225545097,0.734771919631227,1.249955344828827,0.7808867324916857,0.7632658411380567,0.6430888614189328,0.6931254647795054,0.7175380248735523,0.7191144921560376,0.7432452019198136,0.7752022392667882,0.9368572527863596,0.802946287685831,0.7759242730112238,0.7057032518590424,0.7766847415010729,0.7323675249334118,0.7350706710845256,0.7425204118095572,1.0111205006134363,0.744135879375203,0.7950061585107526,0.6845655353066482,0.7048523651303366,0.8046542030097215,0.6506599809874449,0.8217176604889829,0.5898356130171247,0.5512149324100037,0.747711460415258,0.5267148983851264,0.479198784681803,0.443267031674411,0.4634735120982238,0.48635102447249345,0.5129357170718113,0.5781678485453446,0.6460462376533038,0.856037458490311,0.7528414200285775,0.665696608246598,0.5696822692531601,0.5296254663070694,0.4607165688180995,0.3790545534321705,0.39861488621749674,0.42785305300882787,0.4576201166473557,0.45295087373321546,0.5418373416062531,0.4743217790073854,0.5247124422360172,0.500295422114186,0.6443913846291494,0.5156910449905026,0.5030479072955345,0.6810069196691904,0.5083234331577271,0.6639890858522024,0.5494293614648307,0.788966476473943,0.8872783743659695,0.7342216173035547,0.6091313768774249,0.5811331273204693,0.5757861435056907,0.5200790194825076,0.5326040742716971,0.5521514401704334,0.5355809021671001,0.6147826528870878,0.757125987337849,1.0643997880001697,1.701034391692902,1.4044387965448093,0.8977595041199425,0.7201763689097795,0.6830014295414374,0.6574404209839285,0.605269078135299,0.5482199530968122,0.5697118307244614,0.5458122657112499,0.5676592930919199,0.6166138231240607,0.60674899669372,0.5913923985271692,0.6981862344193402,0.7477812334278789,0.8461422704113691,0.584613491876501,0.5239786508392981,0.5540638036956813,0.57619729453954,0.5505585965898188,0.6165268683557582,0.6149945895690317,0.8370047068016689,0.5958772804810695,0.6777403938205786,0.5615372052053261,0.56979446607661,0.5539251212486583,0.5496297703007482,0.5838482333699082,0.7110975178684005,0.8253830134068112,1.4826980202696654,1.5172362147060745,1.0478750416860014,1.4365914372500137,1.937744529285224,1.197226077905901,0.840939857591298,0.5668995824983368,0.5497350784102356,0.739280120812789,0.49353580211161197,0.4828750130048929,0.5335951498663547,0.5534154528095149,0.6311065721093038,0.5411324156982001,0.5193919464107005,0.6188727087836807,0.6197619219024996,0.5465199665206659,0.5718743120847498,0.70793423347737,0.6112022354173462,0.6053295625856765,0.6908343803380416,0.7371186170886063,0.7675212187364149,0.7442892135019136,0.7403246531519523,0.8478629487338922,0.7363094571783674,0.6289581330421389,0.6722820620174266,0.7022504300625707,2.527508813201664,0.9726337273178083,1.3911918460173909,0.7679689293179148,0.8743577507451136,0.9325295717376743,0.9653411873569867,0.8090632483699083,0.6542183656261097,0.8791225380917768,0.8004012443448075,0.7815546088683979,0.6241364081916159,1.011438119348315,0.5875383927688856,0.6422958605177754,0.7606136831538102,0.537964935140972,0.6478916180927068,0.7582443029343597,0.8426724144282655,0.960992541633807,1.1324195950567828,1.0447454240198801,0.8572545608375166,0.9180064240100517,1.1171077655917416,0.8915952797040253,0.850405377017286,1.0528047798724571,1.088207813124449,0.8708592437906846,0.9460036191551742,1.0756531260279474,0.968970162175551,0.8578276264997367,0.9308983682982852,0.8278271199981263,0.8363867980739831,0.7970332733026634,0.7779326967929724,0.7586753324261074,0.6840782738947796,0.6948312159010728,0.6411921952295506,0.6379866718023093,0.5714671647183426,0.6046661578143454,0.6682091544646633,0.615740032034031,0.5948365096582195,0.632239307776648,0.8731817605445643,0.7543783513509889,0.7036888253555003,0.8911065598772613,1.1236214682113506,0.9832931816178866,0.7395461362120701,0.6400001508201306,0.5993478976704588,0.8319865197961512,0.628607348813108,0.642462598162607,0.6836328353544644,0.5471267921560979,0.4799395312031489,0.4799628945028955,0.4618411075351823,0.4951144718451408,0.6342869368547946,0.7460984275047217,1.0171732367140034,0.5794747145747301,0.6912405527226985,0.852217521499789,0.6064568716212714,0.622722177436378,1.0045056034774973,0.9852968121550975,1.2892267042554226,2.0120094096120957,3.4785203541411813],[0.7808395262816251,0.634231466559402,0.575291676994823,0.5732654290302467,0.48305530758131604,0.5608342669672666,0.4985061578274367,0.5406251855961036,0.5084464456255565,0.4527359991244112,0.4551583001828828,0.6010129639620935,0.4734659900985002,0.4856885124087031,0.608181356084177,0.5708583161293163,0.5708618449578162,0.7118839672497522,0.8073554645983211,0.7595040163758648,0.8932408940003312,0.894578778374435,0.9948403907001809,1.0814184034795669,0.8554702750759753,0.824399530678212,0.7075255648225892,0.6462835941553977,0.6241859366330422,0.5797700139190154,0.6559499708428799,0.5860072389126666,0.7421107027346323,0.6502589183265708,0.5929430211532013,0.6308323900313871,0.5941861605637283,0.6340193368377836,0.62534204784306,0.62838442533242,0.7640852787959546,0.7591723370814157,0.7454077309448799,0.7218625499994228,1.6590654732306191,1.9074474840270481,2.562552606891835,1.125482239056962,2.2222651615373157,1.6405881537482763,1.7727216953941694,1.9953833462040547,2.2939439451686914,2.3058517653681654,1.6830237446110168,1.0993393827682103,1.8064046832646605,1.2366847133702592,1.2487083969486645,1.101675856301656,1.0687070673959906,0.8906319613577928,0.7661499334308461,1.2104044800247544,0.893989522457573,0.8175023069090555,1.0632031285266046,0.9025506335336927,1.0469192755046466,0.9264507406066813,1.201358887193196,1.6108437085809157,1.3541726714243267,1.2416537803807923,0.8378015656551453,1.3874648969949075,0.7615462653396892,0.7233783853902767,0.6858283177009311,0.7081677387720314,0.6807894630176105,0.7057813922199031,1.2797857156820989,0.7156139582638095,0.7274697666371778,0.607911443934314,0.6500040602647793,0.6448107011199864,0.6773796659042626,0.667350345044966,0.7256347732560212,0.8519731465696508,0.7308931534423639,0.666944371271236,0.6267547807542146,0.6941931603562101,0.6726750833709044,0.6144926880869892,0.6313196651712308,0.8990843328541129,0.6325744466067404,0.7057910944478037,0.6024127496025466,0.6535186178040542,0.7395241572247199,0.6345532142833905,0.7992985448690724,0.585047626524909,0.5620921636063161,0.7538503724855963,0.5549887164036407,0.49191558830450194,0.47180277776779667,0.49016866586435903,0.5041947529466801,0.5385699670190969,0.6141403870526823,0.6859838656140256,0.8432322328181229,0.777801409523877,0.6950641306856654,0.5869550667668114,0.5499576392603079,0.4998062471185351,0.4298027045052768,0.4344890854650988,0.49298053130397146,0.49015913341707873,0.4911309592967798,0.5423467130187978,0.5024305842743435,0.5384580378676571,0.4926604726579395,0.6148681604109444,0.5059675981546486,0.5102215120282543,0.7028453673007828,0.5398266072822328,0.6961377744061596,0.5765613041967789,0.8004713685270797,0.8411518549708915,0.7339628735884454,0.6218144613981766,0.5834819675241083,0.580463326164692,0.5269817318607761,0.5134475955134513,0.5449723392454713,0.5378675531543372,0.6017688237480174,0.7475592076501891,0.9916605924969203,1.5722327818225694,1.3519426862288846,0.8189175528536279,0.6573844239423461,0.6373677912447732,0.5895395202662981,0.5715506341536281,0.5260265897570516,0.5375512904995025,0.5473418931627706,0.5675986546495837,0.6282916352930091,0.6283274216059281,0.5950991997803506,0.701319829095386,0.7450705462775742,0.8439140408256198,0.6000756350078738,0.545319327567159,0.5517749307970491,0.5452422794807547,0.5185474351027085,0.5733872244197905,0.5740478163157177,0.7854594005648234,0.5737912318685975,0.6245940000102904,0.5252571861976596,0.529497797209989,0.5155796552183372,0.5193351254858499,0.5563904264593786,0.7054006234298148,0.8171203593191121,1.4439737249660103,1.5852587815894579,1.0610383911076908,1.4295865382614332,1.8861798772254326,1.186058221432319,0.8323317170632778,0.5588215113618267,0.5496062610176692,0.7418115637714446,0.5223072247222666,0.5334052433181393,0.5742759808080424,0.5984758425340375,0.6570172210870504,0.5904228468028657,0.5939680062669755,0.6776147261646915,0.6836599058133471,0.6330403577347323,0.6541883511117119,0.7850528412969486,0.705374787178694,0.7027744663333072,0.7897641025538142,0.8349859823109959,0.8831951652142146,0.84614925989669,0.8288571186915764,0.9580380190199596,0.7995585008022182,0.7161703917594322,0.7561056264145942,0.7742215977854267,2.492718843302268,1.0345041061145328,1.4613160887332224,0.8400571424364399,0.8989644651723094,0.9462483710707464,0.9690395333557864,0.8367606243218543,0.7025942390544698,0.8895511384935213,0.8309069114798725,0.8098752634258743,0.6680237127057883,1.0392587484741038,0.6252032157434365,0.68604631555671,0.7904137229707265,0.5886589718761702,0.6707516395470995,0.7730918769299573,0.8578336871060193,0.9729548446165355,1.1300845291569968,1.0427710638526129,0.8731018233801375,0.9197886574749927,1.1015434008096259,0.9054463335399121,0.8771526254606011,1.0623594972819286,1.1066611717940766,0.9253430413462966,0.9881237458739267,1.1155744226683846,1.0466255503183326,0.9483935468198929,1.0064512203363352,0.8978052484178766,0.8957483636489708,0.8380908376037233,0.8201512697460419,0.835162608151987,0.7693003634136578,0.7607910310248827,0.7233300468898761,0.7218784875791969,0.6497206889987978,0.6638246731732379,0.7464766843531337,0.6879634913661145,0.659489596672391,0.7167093129494038,0.9039234934610781,0.8164745346350161,0.7842429905128588,0.9536163787018286,1.1938672816692697,1.0141683161295547,0.808328404260765,0.7209716843863616,0.6894786378438452,0.8782195140626344,0.6963886945822001,0.6907749074481138,0.7307235455471727,0.5921657469504081,0.5393272111955727,0.5472410817667039,0.5267557840885656,0.5748801077858068,0.6657838001449784,0.7713024577863034,1.0380248294387182,0.6358603322042422,0.7518131722770072,0.8995617375317587,0.6800149880988756,0.7296792873080203,1.0704024901771747,1.0352660763619286,1.3221302812424323,2.171438636395659,3.5408625764382795],[0.6019170042916286,0.4524255925702787,0.36357467403565236,0.39192636012192517,0.3822222483061084,0.39643837914646424,0.34782849365560264,0.3681982324196956,0.33253627098836674,0.3329275518511239,0.3562104238639956,0.5055673248121499,0.37869884360530437,0.3639654877434497,0.4959946890146829,0.4913089409191667,0.48461818171017457,0.5820780483548466,0.7115774847833384,0.6516120523130923,0.7797534313785506,0.7997290572957689,0.95400252855521,1.1080815172863836,0.7816496910862963,0.7552655653725621,0.6282701224444809,0.5338541082058469,0.5082400917401627,0.49862561219777873,0.58272574584167,0.5374499959057825,0.7364341929731087,0.6432695959988739,0.5421262551237084,0.5468731025028593,0.5398986776443976,0.5492712176019592,0.5530669563862,0.5608274452550605,0.6889050165175663,0.7029177071658667,0.691782486121351,0.6993917317995312,1.7128769998423594,2.042541518463766,2.840127326287002,1.2338076879997248,2.138728753435802,1.6445413442134742,1.7604905833072817,1.9471595427017512,2.158879820014475,2.0865352563490247,1.5341886290107276,0.9851407308530903,1.7160429870567568,1.0417119683046174,1.2060241255654929,1.1765352096989552,1.041196131866464,0.8165963019169116,0.7114179090458952,1.1356802776342085,0.8313293443969653,0.7161082390065887,0.9246982888305584,0.7542975597993987,0.9503540888653662,0.7596949440151077,1.0074064845859654,1.2775402985785258,1.0512588142473465,1.0833625962770341,0.6971790244757886,1.3718405831587175,0.6669719190921665,0.6488351465405974,0.6120406369436087,0.6368631280013819,0.6269532757510243,0.6396535925907834,1.2005762889834868,0.6000440575797342,0.6804629797824366,0.5262746255469903,0.5694692714160037,0.6107035962470647,0.5971712929148724,0.6203059457058144,0.6495078012207852,0.83148330896987,0.6923494422755085,0.6659468352184834,0.5897158117356643,0.7072936037608127,0.6291011695923494,0.6055792832606738,0.5908951328875709,0.8294811001256547,0.577551143287357,0.603659743273143,0.5167330892569345,0.5498164610040077,0.6100113071009653,0.5416204170415304,0.6663948285995706,0.45188158104784115,0.4215040797241534,0.6445694298333872,0.4059231281046495,0.38200175974205536,0.3666673639505702,0.39458958263694843,0.4169521159472252,0.4441501377921714,0.5110033956467714,0.5538976156089329,0.7915177373424201,0.6500898252688952,0.5728888284046949,0.499103258993698,0.4928503651742783,0.4028485632115746,0.32676663300140635,0.3586795884636924,0.34803731831163776,0.3668584660607379,0.35290608768597176,0.4235107567735357,0.38068398970412576,0.4006565994259404,0.39316342299584295,0.5022290852152141,0.42520928010415565,0.4424158197282838,0.6593314142167762,0.46764928046569454,0.6203613369573905,0.5251393120539666,0.8020642088120006,0.8853805189744124,0.6833538960287636,0.5776129772465769,0.48408415259048737,0.48425580368891236,0.43685663672842473,0.42375148569589965,0.43522161987772484,0.4318857073794499,0.49548930963263477,0.653108191171777,0.9103595341033122,1.5294755543998533,1.3201310783574387,0.7180681057031624,0.5586313624514083,0.5280276465334378,0.49411730261516174,0.4656962174719109,0.44025805850530997,0.46469297756746714,0.4504556097051121,0.47519587135218994,0.5148287461629931,0.5774435081523676,0.5447534971132609,0.7180871159232192,0.774533082701206,0.8369733810674009,0.5418843613772866,0.4642863727614595,0.4598885990562894,0.4560257272263865,0.44028746401570235,0.5031762008742482,0.5142931859325646,0.7119627377269396,0.49242945842846314,0.5364815984846432,0.4460020984622026,0.4341508104583684,0.4234624735551533,0.43702732356788976,0.4856647923467399,0.7069811738241668,0.8302637972057092,1.4709936216077513,1.6212004087918699,1.1064620414698434,1.5148788209275184,2.01636273298915,1.268678054812777,0.8634083659186781,0.5035136095181424,0.486208441946766,0.6497125040866726,0.407254380041014,0.43268425436009816,0.45321121670899966,0.4228401727852606,0.47682111902088037,0.4215187263344865,0.41577350145680886,0.46115569239034776,0.4786950354057583,0.4971080522470985,0.4543334971019368,0.5482543599334493,0.498807388277371,0.5133264415094303,0.5753404596254766,0.6218615403684102,0.6886130258600985,0.6843076619433329,0.7100249828457352,0.7679043368647807,0.7024255850360409,0.5363781056831607,0.558324409989985,0.6209807123803985,2.242098997175767,0.9512409597839477,1.3868742631611664,0.666814830132099,0.7043795275191785,0.757608796896072,0.768593261618486,0.6375741081687937,0.5075183045222267,0.759106062216973,0.7063788725525576,0.7222012346147946,0.5454611356577697,0.9090891099276324,0.6087312572978485,0.6154972752490785,0.7261480606248585,0.46244196339129795,0.5264217793222811,0.6068617406579233,0.6931724719043161,0.8203544635861629,0.9398077228019982,0.8755067099044864,0.7059761668232404,0.7153236060872643,0.9221754600203783,0.7264768147879035,0.6746408886356897,0.8558435873869946,0.9194296361730586,0.7255383444127256,0.7687019855586363,0.8954865192947052,0.8214228916579437,0.6956589126424791,0.7481260345980946,0.662854366744812,0.6450752172552967,0.6060770595489168,0.5773000018329336,0.5826296820637825,0.52944059582759,0.5582474678979706,0.5039858297668507,0.5203123244515407,0.46067515647806384,0.47488110676605144,0.6101666864510489,0.5724863100670838,0.5530975508961269,0.6043752718592328,0.8649093329757236,0.769728892431915,0.6827944559965465,0.9022289283661707,1.091738135986835,0.9953687378227646,0.7478663264609391,0.6110759287540365,0.5366669414649348,0.7823666860917748,0.6182686463839052,0.6725539472118791,0.7064030303635969,0.522600194411527,0.4525815098798041,0.4223905694538759,0.4111598090003068,0.39723331156964503,0.46695878550270614,0.5374596618675826,0.934947804388036,0.4355264172958545,0.5211973821097139,0.6656257191436988,0.48008934023930117,0.5307961020961783,0.858718786148819,0.815388577446179,1.1658750914808362,2.045764678047218,3.351512784961793],[0.6012402865909158,0.43746557207969905,0.3651611260341709,0.38709642047412585,0.40119807729828416,0.381600288057314,0.3444214050083595,0.3264580402946865,0.3074362603197776,0.3013592641577132,0.3081322091577607,0.4223649036297389,0.33526219272748603,0.3461066180917343,0.46901891458421946,0.4476895518826615,0.47036777245378614,0.5541730331974473,0.6937685368964523,0.6312609652827332,0.7443005533981919,0.7838440862142453,0.9336377073822122,1.0955844156240304,0.8031589977607764,0.7708610721193598,0.6470992754580849,0.5394547189871732,0.493631238985751,0.46470363815461696,0.5432978793121326,0.47740440042763904,0.6449599531268997,0.5782055311700957,0.4851698540558169,0.5087149930990527,0.49672549906155855,0.5279759041202288,0.5555292413523526,0.561833658351481,0.7274875377994252,0.7090852650931825,0.7115986630648825,0.7164567035190937,1.6875210925275872,2.045849609265514,2.8330864030452414,1.2140390578496079,2.139697300160072,1.6915361172308723,1.7432818999596866,1.9712834594686424,2.1484963419249348,2.0621007009082843,1.464082112258135,0.9495792687836772,1.7070488448250223,0.9388897877317415,1.206753885796974,1.2311221886736292,1.0187009198247499,0.7604968195335499,0.6568033402853525,1.028504188027396,0.7768729015552152,0.6958652511647219,0.8585469367308781,0.6855132952464155,0.9075157053568361,0.7191526963752215,0.9134607927668607,1.1304483717934213,0.9613273507723843,0.9630585288317617,0.6319001564172947,1.308613946458453,0.6027398372046603,0.5878141669328785,0.5666724850562185,0.5943726077249816,0.5842210296859195,0.6090901017138732,1.220854842070224,0.5455570138361632,0.6757607789757407,0.5056837074949938,0.5461774949596895,0.577939555020739,0.5582757338222615,0.5589720043055904,0.5882214595685192,0.7923200449050525,0.6573636841201167,0.6067033825676471,0.5317938579220268,0.67212670178782,0.58042071595005,0.5325166693381937,0.5114163281472941,0.7489994997372375,0.4882374555151772,0.5230179577946527,0.46116901628883394,0.4906447988934836,0.5369445924992237,0.4967396632948884,0.6002674726931373,0.43691276513177224,0.3837132553368849,0.5993621675716895,0.3654109059812696,0.35954343962641394,0.3540767055046497,0.3876723512734233,0.42167803939852677,0.45169749235524687,0.5282013061592765,0.5697858733191647,0.7904511255455702,0.6361017722130119,0.583815519763635,0.5100340395455369,0.5052367762063527,0.4016301164570129,0.32126714910845344,0.35824582445429715,0.32035042080267784,0.3436315313040375,0.340771510072905,0.4100381153639617,0.37240136357125025,0.3731473393287557,0.39671543362111417,0.4748934986613912,0.4244442649090741,0.44213869817608775,0.6565371396199632,0.4755393807416775,0.6171008274532871,0.544771420857636,0.824534800484855,0.9259029346897608,0.7163205309884615,0.6066257043353057,0.5041053157438854,0.4791355074881882,0.43896616348198275,0.41046704048156935,0.40254746385165124,0.39750300374914566,0.4494740925060104,0.630014878928585,0.8610350798453872,1.4502766765023156,1.2938239968220815,0.6509332949700328,0.502866600570956,0.47392225327417037,0.42708210246122075,0.419797320221896,0.4348231759408011,0.45039806512137376,0.44714860591234723,0.4757196370987087,0.5167307296048683,0.6079866875269114,0.5663001134517371,0.7562240777720326,0.8102173641909303,0.8555427300028975,0.5525315234542579,0.4765050869457619,0.4615365149663075,0.44224622330358593,0.4237048477702487,0.4712197412654335,0.47754690361568336,0.6519486846206625,0.4656330186861184,0.49314538823657783,0.44527226871218384,0.41885636714088453,0.4238970859215069,0.44684477456744526,0.4942240845676957,0.7474617940377941,0.8792971731277351,1.4821428636826293,1.681768307841798,1.1691754164865078,1.5844870458128388,2.0850639504934456,1.3392256184679892,0.9178532008398149,0.5392037670794728,0.5247949215489724,0.6375601347621977,0.4164101190918585,0.44891365242554565,0.4457716318769646,0.40244944501808344,0.42600977857043393,0.39649614729094723,0.4068646682610267,0.4258493697935098,0.4472991754303689,0.5077544823071998,0.4525135698937892,0.5101458591942135,0.48838960049346597,0.50034491732141,0.5511610205334097,0.6024204146491777,0.6702870471857015,0.6650678426443233,0.7052274416811424,0.7214642809189794,0.6929943925153937,0.5316889549346896,0.521503282889495,0.603498346041378,2.1415657970005197,0.9299021612764038,1.3528976098561487,0.6423688005421504,0.6664318138787684,0.7080939666839413,0.7297880417839552,0.5918622663830642,0.4846034412094198,0.729487473979567,0.700767733842107,0.7033667005872138,0.5268417999621434,0.8723467228283738,0.6447494863485143,0.6436340576332353,0.7530586842530492,0.46741676392920145,0.5063202816514771,0.5798562535440891,0.6565116919765424,0.7819460082756547,0.8373288702643267,0.8049419544661721,0.657949297482166,0.6290780085557107,0.8210590019149027,0.6428240243647015,0.6022297960678932,0.7683835965417984,0.8445795646764357,0.664831796078565,0.6845367568941033,0.7970565992398132,0.7543486097655149,0.6311097951208975,0.6726200666967271,0.5957361622731064,0.5618214572663595,0.530557990459244,0.5037936070367041,0.5018926945567939,0.47989189738399435,0.5043881324734284,0.4639557202866991,0.4989055334071115,0.4630713970145183,0.47301173912006844,0.6293968421558371,0.5891463398510837,0.577005287143211,0.6184290810631792,0.8751384289243531,0.7990241142366276,0.6918920581270734,0.941857628719639,1.1112329213821834,0.9760237794588245,0.7493081229427823,0.6067821330317507,0.5354645460976025,0.7989248488710943,0.6252655434231522,0.690800661229558,0.7236456774394037,0.5456982819710073,0.4690792272892611,0.4304346515897099,0.4166444731973522,0.3890907696126801,0.4235771938942079,0.47724756806933444,0.9081854908693858,0.39940868492449616,0.44854457970433725,0.5906944609419091,0.44145743389466396,0.47947442416833574,0.7816075997589178,0.7390140526157324,1.0670699085617588,2.013742405612906,3.1841376116170834],[0.5963993688207396,0.4514440685261354,0.4352163344050907,0.420260346441363,0.524267988890021,0.41017687274351133,0.44640488306616405,0.4644211423847971,0.45950049481864447,0.5248987569080068,0.5619701436909869,0.6405688453429811,0.6400376646792364,0.6479286650998087,0.7845216664367424,0.7663568851843153,0.7893030191010306,0.8366006507915934,0.9459075894727897,0.9108099221983337,0.995133778370432,1.0373118047850904,1.171932286813071,1.3587210981373827,1.069988579359869,1.046130244678744,0.9220132057897951,0.7933847939458247,0.7886121356203186,0.7681582879734378,0.8565867614624761,0.7830578591891206,0.9337449884016826,0.8751873290774372,0.8128693882645162,0.8279126711126157,0.7932372125949935,0.8075094023217321,0.8437921878546829,0.8575216241871163,1.0176277993095058,0.9884879872229264,1.02552928900695,1.0255567040888882,1.8624621524084761,2.3103586427197933,3.142862055329625,1.528179362201469,2.245105375848846,1.8991489934068169,1.9146594187278685,2.0222713386337365,2.077717763325559,1.9475001402177046,1.5282000230342105,1.109020544738257,1.7641464084137821,1.0075155668660194,1.283455414442897,1.5311306905217996,1.210863180583348,0.9454560136656034,0.9133346972672371,1.1448111123162334,1.0076955474583518,0.9366298364900287,1.0180485014000105,0.9242461913890868,1.0754718742838738,0.9346299191376641,1.0101417685400427,1.1259489455570104,1.0124799584333655,1.121725221832313,0.8896903562109433,1.4578349452412043,0.8870315460812098,0.8913653017850338,0.8950593254694782,0.9002860333341394,0.8653026333634941,0.9065950364146953,1.30623204081028,0.7988987152132089,0.8952090467780365,0.79778270669956,0.8135410523718165,0.848516092950334,0.8566266447137122,0.8556188260201428,0.8991923332558791,1.0753963423668114,0.9890118913630871,0.9423257179775014,0.8489023711152054,0.9662750232572762,0.8498611412523963,0.8089139299836238,0.759431011541466,0.9085603846148086,0.7367419738414163,0.7197140958796628,0.7655002081334942,0.6802905851997375,0.7052942253043173,0.6611526956825735,0.7193990432725184,0.6320036910122909,0.5243471589353371,0.6853448849975486,0.49048350358357623,0.5480808464750472,0.5267884383623678,0.5692547829321919,0.6288946442545915,0.6658210009909644,0.7766042088169964,0.7899992718801706,1.0027840794200082,0.8645038596722434,0.822886582436138,0.7339147397916944,0.69834509016033,0.5788124245315693,0.48012998563169945,0.5343846091659288,0.44022124612437674,0.5039117467655378,0.5381127654360923,0.6045074329387152,0.5633798236999787,0.5626958877503963,0.6061206701046687,0.6501174578106813,0.6183736385941698,0.6245764896492313,0.7930410846061969,0.6462321458020587,0.7389965719480069,0.7582777696634704,0.9828155320595351,1.1684443596503822,0.9466566638176356,0.8496608715811617,0.7816305189052508,0.7478589526403729,0.6940031997632008,0.6525013225806967,0.6193971955600114,0.5865864989248238,0.6009511276641789,0.7470322191151991,0.9327859237454739,1.4362160138268325,1.3672281911869884,0.8055269366061488,0.7067035085220382,0.655676489404334,0.6848192112894168,0.6357770216148902,0.6731800391528108,0.7047436558761294,0.6778279320449221,0.7237774263124718,0.7557546023297339,0.827503318913385,0.7772486142527693,0.9582585041787132,0.9886452942075011,0.9937793388790221,0.7387681424782977,0.687036767965783,0.677979207318617,0.6609854270903405,0.6926325227165749,0.7141772974980937,0.7610504424603534,0.8429958687961352,0.7446384096620975,0.7324696253567012,0.7060620826433158,0.6417127260117036,0.6598412706436688,0.7056325515105761,0.7208379135082205,1.0054969760584493,1.131293980812462,1.694293139041217,1.874327299130373,1.3642006130506228,1.7824498231856758,2.246691565939392,1.5072702278563959,1.0773071573090423,0.7478820793226801,0.7264106503342275,0.7331185345506638,0.6199937959191408,0.6272021853907968,0.596608638296883,0.5303324752262422,0.5208192609802558,0.5037306987551553,0.5296209681661799,0.4989430802842086,0.5104342957038266,0.5907713714023598,0.5428898389056588,0.547417006590472,0.5379988517946668,0.563189811792001,0.5845943347152034,0.6110563404900522,0.7050829262978705,0.729350286104793,0.7979299849489057,0.78084422893071,0.7833656699391751,0.6333535337620091,0.586618628890726,0.7155851153158573,2.013901645222611,0.9963940107331738,1.3329535712677754,0.6899845275638155,0.6905894753198233,0.7225492806739349,0.7479951668833401,0.65780838235388,0.5981026263019128,0.787472113535203,0.8358542292388015,0.8077102349641011,0.6689644629030481,0.9656325136301882,0.8250256885018932,0.8042977582923322,0.8868999848575161,0.6285453379736619,0.6420130370908379,0.6779957944527579,0.7202391512123689,0.8546697244485831,0.825814601357145,0.8465143751134285,0.7100708283160276,0.6357125705463365,0.8203443480914072,0.6764906904003861,0.6169189741436907,0.7495318016295026,0.827551044282928,0.6462835790277934,0.6490218359806039,0.7604240348515264,0.7366152553641064,0.6121763227820081,0.6431734684337619,0.5934470349400178,0.5588433288415429,0.5526391911170493,0.5244204012792986,0.5316594529782099,0.5326192678956376,0.5645346162498611,0.5606481610059015,0.5988450364512566,0.5895196430559885,0.6065585180645284,0.7513788599874548,0.7116363542587645,0.724698486035633,0.759874359098864,0.9763990808638341,0.9347120507524432,0.7983752226928702,1.0804150765344471,1.196068434813345,1.0483520694133315,0.8616469407714715,0.7074086554723826,0.63761385052686,0.921236928548081,0.7467986986989945,0.8314008252159613,0.8607292114888415,0.6732012426746419,0.5976361774237609,0.5793512125692144,0.5684663982746129,0.4864049589444305,0.49231999478224103,0.5065822743488874,0.9230636530874385,0.46154339558533614,0.43928789171232174,0.545630252753231,0.46107277720488193,0.4367222226420917,0.7200193962424885,0.6760804745428044,1.016781671502859,2.0131062491965563,3.0890066556659215],[0.5539189468933335,0.4173887157763371,0.34981496208931684,0.3546145738348069,0.41667440586710824,0.37805653851554866,0.34163768122071736,0.3330787336113087,0.3490453031532401,0.37808261967771484,0.3663323263591125,0.4382168235202438,0.3865659771852296,0.40789705404175275,0.5073679432739354,0.4806973614594869,0.5094151031556872,0.5729734325758084,0.7223158567966796,0.665929108063443,0.7869746282681737,0.8315456814710946,0.9884320060686015,1.1764473730390366,0.867782899189382,0.8296161185440448,0.6907043460890844,0.5677254541957836,0.5180266148400801,0.49438267681085407,0.5646844466745957,0.493953478932611,0.6639526630178987,0.5964931561979553,0.5055590184157014,0.5386221651052359,0.5173684130766645,0.551468625042803,0.5822562273370582,0.5944447675955209,0.7876166733998328,0.7554945799930551,0.7705762624204489,0.7825825969873018,1.7252463577949901,2.131787895679548,2.9424786770117293,1.3030243746327503,2.1756937934841423,1.8122738788584467,1.7861283281865772,2.0307006566234,2.139576572038095,2.026844938894781,1.4482710579614122,0.9628837911656304,1.743188690802074,0.9085554168906457,1.2024808442026804,1.3578944493434502,1.063865434119686,0.7857648571543769,0.6956321675250212,1.0446929297026566,0.8382868677483842,0.7403321065874208,0.869393650337274,0.7117453465025205,0.9292169483218469,0.7380037689271504,0.8718303816128622,1.0329874944401016,0.8825264057183728,0.9704492300555987,0.667004494151663,1.3402675183383246,0.646308995680519,0.6197651289612472,0.611066695025982,0.6307281353143106,0.6091651000184066,0.6364835490894059,1.2200112283305578,0.5629314108167363,0.6773513940203579,0.5285183148785702,0.5617531824651585,0.6000235335324122,0.5821805094676606,0.5822047882760645,0.6337936891702756,0.8282044648518921,0.6956991466259355,0.6275563310255028,0.5455715480314328,0.67429439224134,0.5948311366041529,0.5468058131346684,0.5186508483679384,0.7438268903621565,0.5017923357151448,0.5355339217777182,0.48424924486623816,0.5031112205504112,0.534651077283744,0.5232185335630629,0.6273253418495167,0.4830557093121844,0.431829942667002,0.6072221929023435,0.3827451005565388,0.39474504862811416,0.3877575265027639,0.4373921763422385,0.4727576544431591,0.4788942218177083,0.5683168546491704,0.6060501868832924,0.8113124024886865,0.6501319314584949,0.6220443032161316,0.550677605156894,0.5573870129569917,0.43169438311652875,0.3738043566344994,0.4011772503960983,0.37319474821203846,0.38277869623319294,0.3856753845511935,0.44786280218148883,0.4105096170543708,0.41553939200248086,0.461556733346176,0.5212953362971042,0.4846433512326564,0.513862045555755,0.7079128045978483,0.5268464934842392,0.622201263315183,0.5989178453959205,0.8602290095776524,0.9991332094037927,0.7608410641888158,0.6722020320458727,0.564731373866605,0.5232992029323831,0.48517173134092784,0.4544875345764397,0.43852718471347407,0.4334498855312254,0.46387185339926346,0.6093453037391747,0.8681454228580138,1.4656530656085076,1.2812155782880366,0.6375659227958453,0.5042571781422823,0.4647198563427027,0.44943808643072614,0.45618499520416295,0.46289457189164035,0.4784506461467446,0.4956592045559035,0.5236347729835686,0.5859315768405152,0.6868482030972438,0.656824492596651,0.860060400523662,0.9267894565540095,0.917018022621677,0.6159578194232039,0.5348088345082365,0.5269348481785817,0.47712973216371685,0.4612864430695074,0.5011440828772353,0.5112615373320191,0.6366439384982014,0.5174069998936248,0.5038898547157042,0.4868915735930236,0.44564135637516356,0.46644570412217695,0.5034797710614681,0.5440296751206566,0.7846076091626188,0.9254512778514725,1.481917474418413,1.7765877435428203,1.2505038011387062,1.685443756420941,2.1109811395768987,1.4042444956297297,0.9933903930766826,0.6107877769578557,0.5884818013272857,0.6396220109250339,0.4593818072305212,0.4733818887276886,0.45865983460360704,0.41085873393545896,0.4276707702249855,0.39439119021069374,0.4088597495176342,0.42623765802195634,0.4512315725412882,0.5145541912255727,0.4629677202269071,0.5150094292943985,0.4930106154052563,0.5142810114653407,0.5617847018925343,0.6025220119788989,0.6632430677979784,0.6970263468775687,0.7397915279179387,0.7688154664794389,0.7493103818389716,0.5697033164114228,0.5576494266995651,0.6815049180603627,2.0086234046715186,0.9873414985585974,1.3665524338409625,0.6306311992803688,0.6375717831782055,0.7043033745144774,0.6947691710374718,0.6252742520836746,0.5139817582462953,0.7322633889645631,0.7070931802324575,0.7636229916309896,0.5636088785726033,0.8591466176506221,0.730707181440529,0.6885316710264959,0.7755435744199061,0.4871452006293005,0.4852645216741041,0.5709251517373786,0.6403978695437899,0.7603993181432385,0.7955664236168789,0.774457991978008,0.6272493278593497,0.5963051009651613,0.8001112494878864,0.6233396034901333,0.5850285766499009,0.7546484200673481,0.8405622617571904,0.6578223750489897,0.6784539610282264,0.7975700179720937,0.7761324435274747,0.6397978880080124,0.6734938179932883,0.6013278492476287,0.5588876170917288,0.5156997503085983,0.48676114944292587,0.5175796712604609,0.4830046728625232,0.4976516920246139,0.48274130592950687,0.5212346300520632,0.47963218620586767,0.499893750500885,0.6549617399000132,0.6057312990081914,0.6182416581779558,0.6560972731059959,0.9655575389183324,0.8494283891630091,0.7392029326392079,0.9876833177113591,1.103437106412743,1.0593883018174666,0.7973945539887348,0.6411267480650258,0.5428640159487216,0.7836697109639013,0.6550322669188758,0.7531067451991872,0.7672181125359137,0.5796749534889495,0.4771587583316661,0.4458038122068192,0.43713786640887686,0.3774710351572471,0.40847005098220324,0.46224971417614846,0.8619601720928403,0.3911501753595832,0.4373766201921803,0.5602338757006848,0.4338824657227359,0.4516181348302148,0.7326675628576236,0.6792220476957216,1.0578586734582265,1.897726264474098,3.013914833813713],[0.5852457808907359,0.5118997725849235,0.48937192471358487,0.4600582554758967,0.5634721547024062,0.458838385304645,0.4619844562965797,0.4468822785111695,0.4700687204129733,0.47267530996696816,0.43162217208334724,0.4707610853868636,0.4863089475719499,0.5107172677133103,0.5972194882525259,0.5603521018525529,0.6534771889456376,0.6874429357723376,0.8549683878462117,0.803770787594613,0.9033559877390392,0.9584927685391259,1.097759298316022,1.2681893721601274,1.0276448386422854,0.9734741084820085,0.846812518908093,0.7050654874903366,0.6498683004865704,0.6095011216576767,0.6653306076877026,0.5775483790305046,0.7071024502428727,0.6613674976374228,0.6053602279198655,0.6587000608936738,0.6344945567630222,0.7051071423082815,0.7348185043588581,0.7608331153256619,0.9652654097746797,0.884731898864491,0.9160842042590723,0.914323585932773,1.7376012386004533,2.1752055957023035,2.9804370637848256,1.4007971889062334,2.2413072363165667,1.9771587304103806,1.8612540443056376,2.1353918000134096,2.155243534874053,2.002642156647774,1.439140765964616,1.0463246061650695,1.7918679994493019,0.9333757759966599,1.313303406108427,1.6153554966508161,1.1829320707807038,0.8790989084440262,0.8244678836706408,1.060014402114559,0.9416320561604831,0.8650880195919067,0.9504682705491331,0.7848060168614629,0.976132091199096,0.8359403740677541,0.8955261418114345,1.0659526290758576,0.9055097532460826,0.9813867055678758,0.7505125333224026,1.3398661504067773,0.7775543621095344,0.7372527952063423,0.740831684901385,0.765073681168283,0.727138973564182,0.7667078042330571,1.2709911132983966,0.6916182504677161,0.8288283342878342,0.6756955892285053,0.7257594388500801,0.7141909733523341,0.7075358635643383,0.667482324741007,0.7207457683405692,0.9091909627548287,0.7933415505379704,0.6957168864650968,0.6278298912572376,0.7353222046821494,0.6677642025261521,0.5983676365388346,0.5556079346852901,0.725145272823748,0.544313492081763,0.5626309928815076,0.5457561287060622,0.5477231088258723,0.6308780231499819,0.6161771768801592,0.6674040217813366,0.6018057581017111,0.5401384792921003,0.6595685478056513,0.48436661845735807,0.5195472885577471,0.5027828732485721,0.5328108948441801,0.5537993940339118,0.5967055310853583,0.681045962636897,0.7477136544530278,0.9091713266768033,0.7309174615770945,0.7283786755928585,0.6620571117416146,0.6628672883752396,0.5461530466421166,0.49863760794638873,0.514776263216422,0.5047181319271988,0.5185671110913782,0.5399564594521119,0.5851473226314783,0.57344434438191,0.5800702887951202,0.6079087681049367,0.5701334823195625,0.6113098909417262,0.6337551987285023,0.813061003848266,0.6412868189960605,0.7102084668502153,0.719019140332147,0.9837526289415685,1.1428470315577046,0.8834183426450921,0.7996756639656828,0.7188094883718731,0.6480806851632215,0.6086017927220078,0.5755919424029611,0.5436711744464958,0.5379186195285232,0.5081374072099523,0.6494562977831715,0.8598533631764003,1.4128588262675816,1.2673357609190414,0.6233513368699805,0.5253563605783824,0.5203340687720973,0.5265422932123843,0.5453744065672966,0.5769383116963405,0.6191047084871331,0.6278718211049279,0.6734084750222922,0.7188892382095687,0.8132414735159558,0.7905781099438624,1.0195146536655046,1.0916003900005784,1.0285831925493862,0.7494594127010704,0.6564011590274013,0.6317366914116491,0.6075317493145799,0.5979937762520963,0.6080756566967763,0.612084428944474,0.6928468043228968,0.64951904371998,0.604880642446748,0.6365334938973121,0.5607509753285638,0.611836615618842,0.6619848105193656,0.6901042660799714,0.9586782941927428,1.0741313872072025,1.5212185071042625,1.9338021828369016,1.4246953861398477,1.857181225759164,2.2346120789246555,1.5790160335383328,1.1609201213943832,0.8023548684077191,0.813823906458723,0.7621382163968614,0.6323653038674789,0.6325690420897914,0.6024294276368171,0.5441445878943997,0.5202429145837357,0.5134166475891778,0.5309108082322075,0.5114084669737008,0.5302618460159406,0.6127412025734889,0.560219601047841,0.5622701064979212,0.5737025771548155,0.5996460159487171,0.6345045356286554,0.6574295553362393,0.7182555559364723,0.7725046742711656,0.8272051445877592,0.8251832486169042,0.817590949592946,0.6547358496221801,0.6179679016322023,0.8105729512025293,1.8597090221456383,1.1007541879317038,1.3681764535705963,0.6663727277916366,0.6274472057480395,0.6934527385827618,0.6801792817245125,0.6562849494502886,0.5821317987274538,0.7775324281585364,0.8160723684061606,0.8408151140202746,0.6769207903016475,0.9042314224904425,0.880350559101086,0.7838395812769224,0.9253515020730271,0.6258033616221241,0.6468409059597533,0.69170940616728,0.7016537584798825,0.8119271073431993,0.7690379454249435,0.8292123902687858,0.6986224475699127,0.6347621261853621,0.782664471890577,0.6731168590335114,0.6045717474038153,0.7208424347653826,0.8168628638948477,0.6698604691087228,0.6672628207454085,0.7747013907630702,0.8072443793484914,0.6533918108838209,0.6654145896962255,0.6124611313550272,0.5734290937882511,0.5670421602900776,0.5282716698708876,0.5615131468623992,0.5305101556701844,0.5571319070543037,0.5560759084433545,0.5925198955458814,0.5699858624251207,0.5954508557107215,0.7602744107188792,0.68065501626323,0.7195755516581457,0.7627369795007465,1.0372591645211318,0.9407305327480053,0.794747461222642,1.0760287319271902,1.1588083860653688,1.0689123623533088,0.8331854279518832,0.7075927716301672,0.6283292588487459,0.8178881112678922,0.7099139741907897,0.8220437304103231,0.8403216542905705,0.6734234668388694,0.6023664965035436,0.590406215931965,0.574398132030405,0.5098241893884532,0.48972143018636227,0.48919439950565297,0.8861308163550119,0.46925554704171196,0.4664959906348441,0.509241267307932,0.47280715298644643,0.4569654182376058,0.6456785032295655,0.5968131088668829,0.955759483713571,1.8204782726321544,2.737908061513974],[0.5479177893813376,0.4363347720831721,0.37891617054213794,0.3337508636171952,0.3776122468161408,0.3337940953676488,0.2770678638217579,0.3260517039259418,0.373364227984252,0.3147739902591982,0.31786983488523207,0.41461365644358705,0.30312385461766633,0.3273804671273394,0.43380837273623807,0.380021736055701,0.4442414782004367,0.5092733264598055,0.6811474503570835,0.616110789030186,0.7392420320933579,0.7883395948639541,0.9625929329355412,1.1348210744591727,0.8866968735216785,0.8143520103095016,0.6538832946457186,0.5069192226219567,0.44346227977893965,0.40850944489397206,0.5048660595459967,0.4109468323963981,0.5930162300161542,0.5257796520610716,0.42549697773205686,0.46337127613143814,0.4285054199374198,0.4856921052183243,0.49506513694998766,0.5158911073190032,0.7719250578806275,0.6928717179958422,0.7039305765564919,0.712479512307855,1.5962516015610615,2.011321246403013,2.8023887088305655,1.1743573849240418,2.1187392585209035,1.8597727681628287,1.7339198480533655,2.104012941895334,2.170537007140753,2.038506463759386,1.4033833304012115,0.9129230123139154,1.7452139584716757,0.7934824239282993,1.2130239777941043,1.4183170295078844,1.0412334804053744,0.7509182997782752,0.6425737148996389,0.9846359392191147,0.7919578716687152,0.7028534852047285,0.8109348884214985,0.6484532055341832,0.8738706943782113,0.7194220766884498,0.8177590378407679,1.0069573725815526,0.854920474197189,0.9174476010513488,0.6193094865986662,1.3004968901306317,0.6017445665832406,0.5622983274154482,0.5494557834252254,0.56707762811959,0.52104122472651,0.5716400815363578,1.200039712618782,0.47885408702507565,0.6139793136204758,0.4462861035551528,0.4976634841985038,0.51272181645547,0.5084788470892276,0.5207490349808522,0.5716382871027389,0.7802970008472769,0.6496077288936186,0.5637559041035115,0.4842296943438612,0.624191358875347,0.5448348762692924,0.4860488377736427,0.4697490979193017,0.6866083315036939,0.42971149077170134,0.4758793599410792,0.3873505879704651,0.43392357028968187,0.48952077703360003,0.47653548155736014,0.6054506296031018,0.43211114637599174,0.3953563897258343,0.5642434253989591,0.3425218197470701,0.3379855613207109,0.3233810361187296,0.35885654126285327,0.39054159875666483,0.4083152173807504,0.4962856538922852,0.574235663255416,0.7622115407382813,0.5657972700888114,0.5535040555017074,0.47472503481223255,0.48778946879641594,0.369920128491714,0.3240665448687248,0.3418742127475449,0.3359240132487098,0.31914323450790705,0.3162388660485027,0.37704710262655106,0.3504298853601892,0.34938637466544936,0.4075828000122527,0.4416033713507316,0.4281620162104926,0.4746186681820971,0.7053108741534452,0.47680047668854436,0.5645813196739737,0.5439460525765576,0.8776345077456484,0.9997271077089319,0.7360677730833053,0.6375250105956528,0.5113473052696578,0.4305874015809095,0.3987395590029457,0.3723757055221997,0.35300943388779854,0.3827666162417814,0.41023181850071866,0.565789920273181,0.87791747130259,1.4629670278781746,1.2585368603789315,0.5964999354963644,0.4280152538495547,0.39807434809928754,0.3485532795398164,0.4004706191050549,0.3923867409483499,0.4036486600125439,0.42267401725609266,0.44778424834754493,0.5148381165125242,0.6419649809299969,0.6155651805246541,0.8711454689630478,0.9727975158168553,0.9054446625408815,0.5848540895396186,0.47518829445838673,0.44669158561629907,0.4108902243528704,0.3758759934446509,0.4262776938963558,0.4382240474254406,0.552901699183336,0.441676864105299,0.4199976376820156,0.435464506778836,0.3808133807810439,0.41415286958317343,0.46338233567353787,0.5144961042791925,0.7502081284968871,0.8990992228371925,1.384530793993717,1.88298522528313,1.2947096159285758,1.7053007513438225,2.0651854914725614,1.4334160705357821,1.0296440358194912,0.6144768368920771,0.5820776466495564,0.5817679172118578,0.4206403275489299,0.4485920083667059,0.412639730336423,0.36700376256370965,0.3846677923393303,0.3534262533235532,0.3814953909966881,0.39681284959910884,0.4149867819193764,0.49427406985569095,0.48083228086983537,0.5218697879817831,0.5132888174947879,0.5443977616031141,0.6169042116500475,0.6474656351475142,0.6879690252027116,0.7485894360276361,0.7893581491440077,0.8084559133511491,0.8025383981093186,0.6086317935697304,0.5934406831881429,0.7467376979614929,1.8440009127723178,1.0605338969153615,1.393423356298096,0.6223661934983896,0.5855286672896322,0.6617486464308509,0.6207509600800732,0.6313114111396303,0.506338687443835,0.6990603876147143,0.68205581236027,0.7893768743671309,0.557912298008347,0.7843679797394397,0.7816240733136799,0.6832573077013723,0.8068671083279811,0.47145849013921154,0.4401982771631522,0.49772189530308697,0.5569567359184071,0.6932145772536509,0.7604732679947162,0.7271493966791004,0.5876757007232536,0.562740542790983,0.7276857227014166,0.5845596686074287,0.536372432710334,0.7168419046336576,0.8172501198954495,0.6485958266714585,0.674075681649183,0.8123964291789815,0.83375979495383,0.6686216246393707,0.6977404548193111,0.6269788797585374,0.5719182774336894,0.5049861356274233,0.46810448627692725,0.5374678247397907,0.4928588226947647,0.4942207473727025,0.5070241217407769,0.550025244125688,0.4914970104179392,0.5151539618699921,0.7087491727808161,0.612520935918621,0.6553124406108672,0.6804767280427426,1.0102932396696895,0.8712478663138147,0.7444882599797379,0.9849785258273501,1.075932486617544,1.165335047836805,0.8146086970595589,0.64916850513639,0.5433623819039483,0.762744601616827,0.6369599208920028,0.7389375107443888,0.7227657607859322,0.5685813941327289,0.44931349667609954,0.4045873469364349,0.3821241165989032,0.3371986883405599,0.35848721125707167,0.39121498885030553,0.7726004722936187,0.3485053155316377,0.420133532120685,0.4953191222538097,0.3897376123444051,0.4279527131822401,0.6881344062500223,0.6067875164361708,0.9808616107872558,1.7007156293987733,2.6250280124079235],[0.5135862954726046,0.4572163249484417,0.42398036593671096,0.35853035743654166,0.4543395639683493,0.36013091310810946,0.3533757846192711,0.363813309151413,0.423715070756858,0.38972597109616747,0.3793393943969554,0.4572667483388821,0.3942935059571852,0.42875354584447123,0.5210203843238581,0.4518241879143235,0.513158165141727,0.550765409562912,0.6985401396545916,0.6725083103883125,0.7684985417185332,0.8371453268085189,0.9850306378737461,1.1800721142709363,0.9519935701532165,0.8632913814623684,0.7135068890466273,0.5563499128564007,0.498058313899247,0.47314904541146696,0.5523387445278505,0.44869973525878987,0.5861813755003313,0.5437720641712677,0.47257642562766794,0.5352735948402757,0.49602565718229447,0.5415136375043099,0.5766518982296363,0.6072021327333538,0.8247927168475062,0.7427496278323333,0.7572746513249164,0.8267917256210747,1.6471871718378883,2.0684245512627815,2.8018697226405775,1.2770664016296782,2.166796041323776,2.0263098097985255,1.8341473482646737,2.208765313210146,2.249973980176498,2.0760485659174366,1.466422407557691,1.0096489307832228,1.8283251625963481,0.8164706642402771,1.2205823953983466,1.6217693016896455,1.0997389331597718,0.774902628981834,0.6644799480683249,0.9579803534749629,0.8232335965448527,0.7316356280107816,0.8077551796515842,0.6586693401457814,0.8332330909816729,0.7560743005791466,0.79150372045663,1.0113378485571385,0.8236964089195615,0.9038234302338457,0.6374745533358753,1.2695321664003574,0.6254890501366497,0.5978016545180779,0.593995605711837,0.632253046769282,0.5630517679717338,0.6240962905895315,1.2377771443395726,0.5565757869574022,0.6739947345717401,0.5352796447233492,0.5549755656275003,0.580750217335741,0.5801414053402031,0.5558741482531607,0.598423857838475,0.823347297154145,0.7127653678854233,0.5896635041947446,0.5093508780138789,0.6530779886692041,0.5827914753576187,0.5197445207587608,0.500719180843488,0.6824438366958905,0.4671203587586644,0.49193810037770586,0.4353689856347054,0.46656136147221505,0.5425453400968221,0.5394783667622876,0.6162834985688238,0.5139329555219603,0.45439323996829817,0.5998808765189712,0.39740065377776634,0.41120409289478205,0.3928140078824586,0.43019156059568237,0.45197710912225053,0.45195933080871814,0.5474751413577129,0.6159185945381811,0.7735099789208989,0.5710232490847066,0.5807788317829384,0.5270791865620714,0.535962830185048,0.41398223860658906,0.4136054546170737,0.40708217755433534,0.3842413262978235,0.40445489610632684,0.40463874099926983,0.4586987850409676,0.45237344634112997,0.451811029841492,0.5122331487752477,0.515601076639274,0.5128288428889132,0.5735539574340964,0.7516048671287344,0.5448213126698741,0.5658247919868641,0.5985085350423163,0.8885713291825696,1.043800718398324,0.7614303680158993,0.6710614998535032,0.5783449658362088,0.4863562510710026,0.46219855657890463,0.462648906244631,0.4205846633173684,0.44105721307603435,0.4555055548766959,0.5783103389523159,0.8227927095597984,1.3981989670197221,1.2545603461095831,0.5765203738359743,0.4571695597151758,0.42983728906067314,0.40562970071300597,0.4382806460744307,0.45122535739337455,0.4657578977555012,0.4930882877285463,0.5404615646966747,0.5991960935620336,0.689011883592688,0.678794287133359,0.944702576165844,1.0553691644912737,0.9338977823255037,0.6465482539147833,0.5512820144331293,0.5343785517386679,0.487059227258457,0.4652968032802734,0.49150894256244293,0.5003601789304934,0.5790724863128864,0.5151536330875068,0.475554611925249,0.5418013985624524,0.4784697933768404,0.5042264864685347,0.5728473644510539,0.6045873639101291,0.8627064199010847,0.9963657113556087,1.4202892303540273,1.989075050066964,1.425460995132665,1.8285951205197795,2.134573119442234,1.5435123896786964,1.1439193972410926,0.7452631215092773,0.7142960449578335,0.6349574691144777,0.535759234147051,0.545309840964953,0.5022216452186167,0.44909631835055525,0.4185675782162575,0.4187663243972881,0.4459452242769197,0.43569494278704624,0.44273916776468963,0.5353991709539884,0.5070163224479924,0.5291797625820696,0.539848603780999,0.5707394890781178,0.6331644310214681,0.6703937482142622,0.6848533118792707,0.7811243764409913,0.8198442687726751,0.8455807165920849,0.8121724320334832,0.6249535655331835,0.6153496156689798,0.8197441196765107,1.6660845711877432,1.092174778564595,1.3869075059816736,0.6675698211963418,0.6050080136483535,0.6525948629598259,0.6312902090611962,0.65646823930059,0.5635256341987207,0.7360320869733488,0.7759985438734275,0.8467520369849961,0.637231773080102,0.8187420954752908,0.9160450915385447,0.776809524963406,0.8838667515394532,0.5678705460801977,0.5246180959614728,0.5421185675470008,0.588478481011722,0.6685028952971672,0.7022229460283546,0.6889014046839576,0.5679931064386478,0.5374138458507253,0.6629613712837654,0.5476392817713961,0.5063042654944747,0.6465664045611327,0.758540864663785,0.6225466476442569,0.636899435199104,0.7329911571751413,0.7978625651420324,0.6557503533001292,0.6749722302172243,0.6230949180208908,0.5575914427486205,0.4994207624211021,0.4711082126409306,0.5568502045359685,0.5144894877677665,0.5097511133450898,0.5486495144529226,0.5871456497279739,0.5466491023575293,0.5833330228821846,0.7807395573402982,0.6715028634001163,0.7294588004909545,0.7530341789668191,1.0389167179288168,0.9191122860184611,0.7549433812296844,1.0185977104151578,1.0711637646310586,1.1561457155086259,0.8206942979167977,0.6684777944591425,0.578389799867281,0.7367055753726942,0.6326129527433614,0.7432172679506807,0.7408055906028073,0.6180897946967012,0.5184102345248582,0.4835920230809989,0.44701634701064286,0.37985943435580327,0.3750822944893253,0.3797989864558811,0.7920872841647566,0.36504611244544954,0.38709599352944074,0.4360639861272857,0.3769654816413516,0.39923181037562533,0.6081838810703485,0.5232522872005445,0.828080089932944,1.6055358840831255,2.319412395658897],[0.43325479501178543,0.39004177179428223,0.3798895990398754,0.31602827461354294,0.4394775389501165,0.35782756186473835,0.380027343886956,0.3819521949581285,0.4274595071178447,0.40129035261125234,0.3774878560505128,0.4543925046426263,0.3995787998151787,0.43573081977962674,0.49815260823129576,0.4392211452606591,0.502478989840326,0.5422757023908219,0.6945181990834631,0.6690042720305983,0.7680831216140711,0.8417161558162943,0.981491212332994,1.1646602308738456,0.961208375558225,0.8566371722411661,0.7110667060633701,0.5482354883294425,0.5011782036306667,0.46858724953617137,0.527499505133983,0.4405857499894985,0.5389872919529312,0.5067686937058609,0.45442419510008714,0.5245758887068207,0.48534774171389633,0.5524095061195249,0.5684003061658875,0.6081600688058085,0.8028302912739503,0.734503429289163,0.7374974803086219,0.8549065168339713,1.6378200453431802,2.0579841447401055,2.7449455694246905,1.2843783637031037,2.181858446999934,2.1447904316135085,1.891294157770099,2.33457249028451,2.3745831283479744,2.2039433177840193,1.513692516103312,1.083523183064377,1.9170352948802034,0.8528488972272616,1.2352081359638944,1.6865744718562357,1.132876534324294,0.8120918911515299,0.6613718542227837,0.9667274391849986,0.8458974115896998,0.7455579920220927,0.7994375267935828,0.6526851528337132,0.8236165754957389,0.7646911316623911,0.7888119934885537,1.0031323871171955,0.8241525411968001,0.8780155965812512,0.6251215528654733,1.2477294275662267,0.6155519077011145,0.5756902527656826,0.5783928203772201,0.6203704720892733,0.553921216329474,0.6182027489947494,1.2060958442532106,0.5588836038727457,0.666044020117488,0.5411402885330965,0.558124405963838,0.5694949384410093,0.5677538818311922,0.5278312470353311,0.5850651741717661,0.7968476955920881,0.665231061982045,0.537164017402922,0.47283889280772723,0.5999258329008347,0.5558420389375883,0.49130077631670915,0.4738940834058116,0.6775254067516867,0.4615146828575114,0.5112019901422208,0.4379319172037354,0.482447716638786,0.5681344745879704,0.5718458207499335,0.6553101891634068,0.5412809912941435,0.4942127657299397,0.5938116982159654,0.41813725450491673,0.44785146700760303,0.405314603565335,0.44307454997771756,0.4722071059005085,0.47365687720870986,0.5549834192853661,0.6446159722057139,0.7578305876729103,0.5640892701586124,0.5818816511416599,0.5236011007290201,0.5587951593102488,0.45217300004418787,0.4421009794986166,0.46350374877743955,0.43448854286615696,0.44478039712228873,0.44130650241431346,0.49426549074430864,0.49003421057790264,0.48065198451969215,0.5798074562458687,0.5625620714306294,0.5949503364985687,0.6772241707615609,0.8208429007822147,0.6261250087891517,0.6047320507826188,0.6282291933487375,0.8646952630590439,1.031545308962718,0.747992760605957,0.6545561533526084,0.5778590471287016,0.5049378745303175,0.4902155233339024,0.4808103070358978,0.43581516078894283,0.44282618398208484,0.4653177990678603,0.5516076096817127,0.833333262736724,1.3965521436095376,1.2392822436123214,0.5782920928178227,0.4575111079689646,0.43032356008657147,0.41873831227332886,0.46641256086071414,0.456497688501351,0.490065595029977,0.5487258157745823,0.5873288234935862,0.6512361788626901,0.7686085128460997,0.7724677035226958,1.0265619723406694,1.1713375516140532,1.0061071967791444,0.7365324735743833,0.6236009865843337,0.595271009276602,0.5489024826029275,0.5044653120038197,0.5062489373087212,0.5070421963206003,0.5781979425675369,0.5339209481733616,0.503079175430923,0.5858121604386127,0.5081097590859592,0.5428599993515058,0.6369064338329055,0.6656288681198459,0.8713453335598369,0.9946862746673973,1.388588348169977,2.018500220596057,1.4528372152265598,1.8478248726767836,2.06930560984982,1.5548788331188323,1.1985531140055499,0.802027142247699,0.7568975954655403,0.6347837262322699,0.5484244566976442,0.5403398380406875,0.4891286833992842,0.4393326533386176,0.42399149953693355,0.4206579201906664,0.4400724781094715,0.44418794120849986,0.4451825276069531,0.5062403978106081,0.5307408961544787,0.563375496823554,0.5578676852784397,0.5809128115270977,0.6657633770910184,0.7116060101580277,0.6897064204739293,0.8088136891112927,0.8112611505232141,0.8752477433779238,0.8386126170237523,0.6492776074026133,0.6614305326816033,0.8947153515501899,1.5498349899162867,1.1907510310887228,1.4068506154969165,0.6856288529243229,0.6203558016862284,0.6734839757929069,0.6136453935735039,0.7216311427654569,0.58156622229554,0.7233328814923425,0.7986722594540269,0.8914080862067383,0.677869530449427,0.8176634383673326,0.9873134627018688,0.8004846288428955,0.887239351979474,0.5773039971384346,0.4963177404732858,0.49903514344183486,0.5568519247835434,0.6417017534424401,0.7333927390187641,0.6806351269284864,0.5527210569342091,0.5602740238772613,0.6576058208005352,0.5710185984656948,0.5214812598162638,0.6915277897858492,0.8056989893496779,0.6647803175458697,0.6926292659371787,0.801351134185204,0.8964067476617715,0.7272700252379055,0.7538511727402156,0.687841083303356,0.6360017660617086,0.5415126599171629,0.517965973452229,0.6184595157174778,0.5598767261003901,0.5500254835543994,0.6003103600237307,0.629893153793702,0.5690083317749483,0.6275902469293945,0.8373762201891493,0.6868737809713603,0.7680362023929834,0.8210376186393201,1.1155810206640366,0.9479051139619978,0.7971992112423557,1.049107799135827,1.0680572040881706,1.2358907028725499,0.822053469167133,0.6520692069476316,0.5532172482450394,0.6809649186899323,0.6436340714805298,0.7773006340319378,0.7185929758535828,0.6054921789131168,0.5050792061374642,0.4767850873137732,0.4494351811334484,0.37684811811772856,0.366720712482942,0.35260148807530367,0.7080278823824627,0.3575812708620987,0.3788330140123567,0.40818895339477007,0.36967756482546144,0.36326208909838276,0.5343542804730286,0.5154067720072292,0.7672836987032522,1.382404300208553,1.9850048567384913],[0.4648454282752987,0.447945222576824,0.455983402666521,0.34646615733720637,0.47356037019013464,0.3986089207014028,0.4233443831104963,0.42591821061218677,0.4547727009741956,0.41948344081628924,0.38269584902860193,0.4801800822777707,0.42313703952969217,0.4467072077053315,0.5018986950824076,0.4388753948097895,0.5243517429717619,0.5346946066046374,0.6725475578808904,0.653020905817826,0.7399109890350775,0.8329130289934353,0.9965953209827656,1.1415272643065146,0.971013872297947,0.8399480289329412,0.6985505683365845,0.5532226429370096,0.5022068629689073,0.4780478184066308,0.5227480540176217,0.4535196433451647,0.5291998806192312,0.5265146341582793,0.4655437439902903,0.5209136438123646,0.49193820258895005,0.5675703300938965,0.5798934434187222,0.6229501123445519,0.8207045830801313,0.7247383020835111,0.7266253664161283,0.8093349969728472,1.5323740267040304,1.9455690810404387,2.585572668895938,1.2137945173317946,2.148138744409117,2.1727928869584474,1.8372258480708694,2.3242246903992374,2.3283460173275485,2.150182221727998,1.5066755368200158,1.0628918303163182,1.8880671185463185,0.8392120274634897,1.2877928784783,1.7136414379655587,1.0779983354640683,0.7348211292178601,0.6305525669652308,0.885632856017756,0.8042903474570199,0.7215111293135984,0.7399950038373082,0.6266959115671333,0.785785874504759,0.7806115543308614,0.8005302969449473,1.0588155291726158,0.808169722504405,0.894594626106822,0.6066608621269528,1.1639850203415236,0.6000847883971859,0.5747467573831787,0.5796489672868471,0.6141953390926872,0.5626808358282605,0.615016446042167,1.200452065972891,0.5740139204969729,0.6668087372985482,0.5494680870502777,0.5787495380340788,0.5950334924316899,0.5566452669249092,0.5233626697178452,0.5910887890676265,0.7740305393627174,0.6730764547456095,0.5332226361460867,0.4829726110369964,0.6065412492745215,0.5829837751305681,0.5124644891588686,0.49796114966205585,0.6594717167957853,0.4846410014336884,0.5243731903183796,0.4568632873524173,0.5250806066709907,0.6150738969516649,0.596826260484362,0.6597736105639347,0.5700296485993548,0.5232940612132955,0.6159663402628061,0.45526228226832516,0.4744263084606754,0.4556371451117229,0.472654637655833,0.47955630308851566,0.4944553065797023,0.5818691837723725,0.642151554279963,0.7020134000649211,0.5626242772238486,0.5932948301244156,0.5276066648798049,0.556852930251742,0.4634858384021147,0.4642176334488713,0.49129391802195654,0.46344043299235027,0.46305474319903367,0.47028638796478206,0.5262380129425287,0.5115202641783276,0.5152698587654014,0.5897490856279622,0.5804907212443735,0.5880309613082951,0.6695357396328647,0.7973216400564646,0.5973593004546814,0.5679496752716285,0.603000435684464,0.8334855917807753,0.9789951922685448,0.7493706482467103,0.6757662527648878,0.6043284919940217,0.5156728797509964,0.500150671952969,0.5041138976897381,0.4544144585763659,0.4956330648840178,0.5111049111942442,0.5672237443923236,0.7845409489787,1.342134011113306,1.224937425407967,0.5812610771927175,0.4744656174754577,0.47780778253526013,0.4427566389890578,0.49631149810926045,0.4641357532133635,0.5050114633081778,0.5428723261247774,0.5799009827615623,0.6260648790269453,0.7403744677248054,0.7345168468681601,0.9958288241519814,1.1436569179111384,0.9677917035847405,0.7084025644309894,0.5960810604976987,0.5881112284295688,0.5468049732638504,0.512349927394217,0.5280613902866063,0.5210630339261911,0.5637529831490216,0.543965150386075,0.5083497311624448,0.5963134028451424,0.5269064003781087,0.5547159819453792,0.6489859745058253,0.6687369422019737,0.8664564841529906,0.9887632938047586,1.3612600111131397,2.060073033018054,1.4506161914977753,1.8331676757569892,2.031270921246872,1.5340311373754307,1.184447932808659,0.8034796973753433,0.7795081803413765,0.6543800561465369,0.5800913599635537,0.5855714512505275,0.5415315653431455,0.491606762284855,0.45554639411753217,0.4612854344085211,0.48927874254995035,0.48336058338233595,0.484981992182343,0.5507468651291787,0.5552506964005548,0.5822827987183642,0.5937336351772188,0.6171539186613539,0.6857619536204311,0.7410142097555282,0.7374676361320829,0.8400075939267807,0.8550721318233373,0.9154133989540494,0.8350671878301714,0.6710991139966227,0.6705964498061312,0.8979251997099394,1.5395554746745503,1.1771581678911989,1.4074957711894447,0.7115479353249008,0.627425253956412,0.6868186580787996,0.640069385141443,0.726225809959471,0.6135542515594474,0.7523061094203385,0.8414091603280747,0.8993933454533468,0.7093738860650912,0.855906829844667,1.0009703224913513,0.8263555552821773,0.9049732297810803,0.6256347966857146,0.5388793413123814,0.5439729741132351,0.5860004854121009,0.659703049675536,0.7128755957207696,0.7046017044129478,0.5839772625368785,0.581009992265247,0.6395214066167146,0.588610000557983,0.5246412895186269,0.6487395890571414,0.7496026781119037,0.650653322377267,0.6669294111832228,0.7414172013430421,0.8508183730879916,0.7290761133038448,0.7437558193447835,0.6932822186304097,0.6384458804641514,0.5517671910165426,0.5353549855308413,0.6221351876833422,0.5829777666833255,0.5829673249462558,0.6173700429586483,0.6453304648861028,0.6010571725315232,0.6525710172848049,0.8236086522306553,0.6910463673874929,0.7771280428553047,0.8232302405790582,1.110265766932522,0.962658155259048,0.7948421818780451,1.08090517771426,1.101735366615915,1.1773082986053607,0.8369339749510146,0.6792876370199435,0.6031627339699346,0.7282808265969954,0.6558962372826783,0.7777268549940362,0.7173263245068382,0.6276943295429606,0.5442041061136852,0.5189100748987275,0.47982051763740136,0.42222630683185514,0.4048706352514866,0.39465475727652705,0.7760703183666467,0.3892697442188497,0.4145181083027489,0.42514306143144387,0.40805866449090106,0.39964137217089163,0.5536068366477741,0.4861877276314788,0.6954337070404877,1.3546101973244276,1.8316905283951936],[0.6081261348487953,0.5620990019131645,0.5303461693664157,0.42631816654582066,0.5242228233920095,0.4858881495306214,0.5009106390956688,0.49635612193188355,0.5497292382727049,0.5372696005725071,0.5212360761430769,0.5897927721216493,0.5558871200198651,0.5915285923725793,0.6494625776945951,0.5967533370415662,0.6788158746750674,0.7121193563775899,0.8489348969851666,0.8144440674686733,0.9416580241123473,1.0318373316439704,1.2016222704994806,1.3811963324071839,1.1286670920009243,1.0068119449522368,0.8391409412733362,0.7194732317031551,0.6687755618227677,0.6261585505614554,0.6855987307281216,0.610889044949352,0.6560835945789489,0.6921678891586002,0.6444095177212644,0.6908726365112472,0.6532648138032571,0.750560581625305,0.7378243249664362,0.7939703937166543,0.9337511246648476,0.8853561626506055,0.8913584225042945,0.9837558294584587,1.6239224322773118,2.0210507020069812,2.631643557496899,1.3890993565650134,2.2458255122457844,2.3271218507314684,1.9671900863047218,2.4628779907325895,2.3610746047669435,2.1310855943257674,1.5873404782968144,1.1934888723707289,1.9824216268923576,0.9831513556945768,1.3658074732307908,1.9531663678650284,1.2221636385066974,0.9022167642700637,0.8349725767752013,1.0670475467293585,0.9759040568625326,0.8975785512163021,0.9297814180952083,0.7880820549212707,0.9117863466991787,0.921018330003358,0.9655941999266615,1.2456784579917877,0.966431356609306,1.0635393197200058,0.8016345641767878,1.253873313725979,0.7871112793963877,0.7569941505877092,0.7543765688462317,0.7904062116582505,0.7352804211729271,0.7712387958723251,1.225635333693789,0.7517408541881819,0.821715854262049,0.6939793721923883,0.7445978457680514,0.7464665021794268,0.7304715743945324,0.6846973926264002,0.7609778861713076,0.9386726661076433,0.8368794472112319,0.6937328990486001,0.649585509453844,0.7444625836063447,0.7217294236861937,0.6304203241652495,0.5883172651339208,0.6972720402191427,0.5671163203277547,0.6066883782505837,0.5764891495017743,0.5847680108150131,0.6843679676574488,0.7074716874070021,0.7229079946242235,0.6847836653778588,0.6014398508768581,0.6344820354420576,0.5434839781629769,0.5770180353527604,0.5501050726379856,0.5919224446615733,0.5893363885573721,0.6459362632410078,0.7101483856754995,0.8291182804440738,0.9051308185030895,0.7456685733003922,0.7724388003449322,0.6931874135508151,0.720163594071141,0.6072007149371119,0.5657886520017311,0.6075366175704978,0.515352405077243,0.5829579474121432,0.5813752605926319,0.6110369077266207,0.6380096704844362,0.6324150468737064,0.7581454080346851,0.6855693121931752,0.7506580892409843,0.8085566127721888,0.9304377489556257,0.7581642522808519,0.7321577751334385,0.7975723818163715,1.0128203566613903,1.2103958486396063,0.9198096880662447,0.8159472808608551,0.7747218632729812,0.6676038852804449,0.6484095651004337,0.6031399033134892,0.5559723447403853,0.5656138551123868,0.5783446582133813,0.608055670759761,0.7836115379858419,1.310612055794145,1.2246261251444768,0.627990027601128,0.5575729087255608,0.5611988979650373,0.5506648163744906,0.561730276754579,0.5989796365519066,0.6540112828840552,0.7220014599460046,0.7658225616466483,0.8265574663373397,0.9579412349963676,0.9714854813661284,1.2467967227286705,1.3391681427876423,1.1619440258974831,0.9156809593506563,0.7891906792211961,0.7729242600753807,0.7145695919914739,0.6627125682986231,0.6396176817248358,0.6627791534385692,0.6635030659390955,0.7166996346467872,0.6674062402239754,0.7316278589992381,0.6252714377084525,0.7057974663588059,0.8377242267900489,0.8570675749039801,1.011557234553479,1.0828546148547131,1.4495434597885595,2.166472105243185,1.6387544773997496,2.1002615522268426,2.170019101558498,1.7249622348398583,1.3488226257287494,0.9939919685351916,0.9511391725171368,0.7808787470802814,0.706343599336767,0.6656182560289665,0.6008805759909486,0.5604607456851188,0.5208293820493614,0.5302232380445476,0.5610740269798614,0.5536303409927679,0.558850261798003,0.6064819780897369,0.6403596780563492,0.6812897442399627,0.6973226106249532,0.7358262509235747,0.8187994329665127,0.8636534332434167,0.8754550184245644,1.0065766838767076,0.9863088974219543,1.0473774921284336,0.9547531847900688,0.7843402680076104,0.7978653048480104,1.034599989725839,1.4840260790806434,1.2571162255745352,1.4099379172478017,0.8347367066393256,0.7321644463851119,0.7310283781002357,0.7209847196857444,0.8418752265256814,0.7175296373978236,0.7718592256654441,0.9347900398770282,0.9842366548716801,0.7789853200156809,0.9067262043375417,1.1505216474617899,0.9360852918499225,1.0021154545353363,0.7099551302331003,0.6154742462274199,0.6014580467983598,0.594391084573879,0.6894984474485927,0.7593840641886689,0.7460488155928555,0.6218409089654247,0.6445443137204769,0.658951397429411,0.6405928130760916,0.5914305572523907,0.7205312151172637,0.8195517184955214,0.7267125669312064,0.7601489654904047,0.8527992015348715,0.9842534854412255,0.8495558400897969,0.8747843118540605,0.8144846353215778,0.7499508858784237,0.643167593086699,0.6328011549690695,0.7479646730483267,0.6835277202853816,0.6690905943617942,0.7252905990101762,0.7462820551698109,0.6883783500938745,0.7626761621967545,0.9340484314268849,0.7845953912958475,0.8817788565429746,0.9665391452404917,1.238332536817648,1.0696417899196036,0.8693277918166704,1.224561964417744,1.1902474271515773,1.253975147829007,0.9372915161530188,0.7857442423335866,0.7157968512202391,0.8126757889944715,0.7243724598764253,0.8576620452276023,0.7509518648770737,0.6811635656869088,0.6084329071859991,0.5858067524595695,0.5440398598149724,0.4842521889099413,0.4920282502482573,0.47418590578039965,0.7445522322161727,0.48044828539300544,0.4969595040542829,0.5244206140076908,0.4986403536304093,0.5026169623815729,0.6693705167730476,0.6063793012808664,0.7438153725028062,1.3076033547934032,1.7402051152453264],[0.5785356563334618,0.5673469141974081,0.5886249226092365,0.4587519643104973,0.5049771501502961,0.4401862731071921,0.4117616668648878,0.41967076503658085,0.4638697533706374,0.36349573282094255,0.3496688548488796,0.45273253741457087,0.35026346005416065,0.39438954524518316,0.4576167272337942,0.3919025986319023,0.46380020477840694,0.48142427379726066,0.6365630113801954,0.6393183899845378,0.7483372464321792,0.8474838574718674,1.0505990979679314,1.1785031509687676,1.0503163717069033,0.8653123228349184,0.7074535090891249,0.5360844873940184,0.461357384812703,0.4129909426594636,0.42339354061238677,0.4051065919747101,0.43756752308436087,0.44510403616061184,0.3711053661114621,0.4607969355528061,0.4164452818147041,0.5211216430360721,0.5334333709301282,0.6078283338569377,0.8763633458666162,0.7283130414981775,0.7483445182124985,0.836183389905765,1.4944945094328803,1.882168140307351,2.488753857751504,1.2457645661056784,2.1249536980482837,2.332703882496037,1.8385599506324402,2.3913275186642866,2.3159081219364075,2.0971504882379985,1.5582087932139834,1.0786572174526328,1.8590365143637193,0.8858017701145161,1.372434452911433,1.7916349786425305,1.0599702238968869,0.7532332630910488,0.6227487105111101,0.8480852275220608,0.8243283366232368,0.7157291545356737,0.7388204420794371,0.5765305788277508,0.725545785123666,0.7737401847551378,0.8076671655070143,1.0622869275825304,0.7884330021303684,0.8999626627657001,0.5850379958653033,1.1344067244139584,0.5685751583339097,0.5218138997825289,0.5347129923851016,0.596575570690191,0.4937429754157949,0.5885669328380388,1.1497272242264338,0.5495250897317515,0.6466499047758931,0.4915862683905088,0.533174070578308,0.5333318337041931,0.5089931416763243,0.4715964272678442,0.5133789918072613,0.7157388546167012,0.5653001304401021,0.45178854115137645,0.4121393027437379,0.5105446988055965,0.49950216540533793,0.4305864667000591,0.4301611402582947,0.623266872636637,0.4403134439041527,0.5320046506724418,0.41857055426773365,0.48729537487042274,0.6403351693721663,0.5487113118682948,0.6352100699000514,0.5940926264166081,0.5367023345784205,0.5619803610741138,0.4428288483608777,0.40600529026584287,0.4213009974502964,0.43298656878487946,0.39243268959488303,0.441233850477032,0.5511013664303656,0.6247667429877332,0.7038258996658584,0.5123312710800668,0.5630843682479665,0.45770729434664237,0.4746510507059941,0.3823326660690382,0.40202591560222983,0.45125750880460797,0.47224022032081997,0.45681066667615855,0.4868734693932898,0.5112638709027335,0.5361721650474031,0.5466956302649031,0.607221870582383,0.5594875274309056,0.5686390689234352,0.6301360773483444,0.7690140540709162,0.5843923985752059,0.5105532228427383,0.5173218199310179,0.7684144812492578,0.9450419185629968,0.728342570635244,0.6508294252043084,0.6002882465143724,0.46038190991694805,0.4388926689332714,0.4285497852778767,0.40063980386684955,0.41611782252226487,0.44883425392907944,0.5290741074388255,0.773912786395194,1.3163572751291257,1.1479180135198805,0.5293064760879093,0.4387775237087719,0.43247434770744897,0.3859389668288516,0.42396327630479036,0.4239167242537117,0.43590229013656173,0.49371125370702296,0.5445877580084265,0.6030185251242673,0.7664297943070036,0.7641391242516671,1.066253086430677,1.2049745309323234,0.9722650626906201,0.7127063312092924,0.5742715199209054,0.5595537692546233,0.5140559905194814,0.4599425199802032,0.46938456624718894,0.4532497976746271,0.5135989229483274,0.5069216139635488,0.47359220434558247,0.567257639754938,0.5024474170992707,0.5629505856779974,0.6460872209382891,0.6617316815818309,0.8016015877491187,0.9467327175452992,1.310114195881827,2.1287497702174805,1.5461814752203558,1.8750339330278232,1.9588136970331878,1.57218631900359,1.2225504666672025,0.8565360350662259,0.8426305847808254,0.6942095259889175,0.6627614674242719,0.6468796258986594,0.5807173123903326,0.5777906725047613,0.5345473729507428,0.5237739591058098,0.5778033763917431,0.5985972861191164,0.6030221104376352,0.6484691273284932,0.6961187556404013,0.7353628626281941,0.7557486690984544,0.781145926980012,0.8664479204106657,0.908788625617955,0.9053748047206781,1.043233096222542,1.0232577210919658,1.0643478177607801,0.9743317398311185,0.8195025723641204,0.8450799124259724,1.0989507370593208,1.4830424585581627,1.3295489528682485,1.4498324558931235,0.8741634456932567,0.7849648300915216,0.7715005179645791,0.7556257489785236,0.8961290439359906,0.749564391349512,0.8174682071818907,0.9439511391354974,0.9772001250925849,0.7758102512607256,0.8848726326161023,1.1489874853114905,0.894628448425657,0.956116430892853,0.6896743127617918,0.588076055588753,0.6080242491990623,0.6313939869873021,0.6889252698985049,0.741846441822987,0.7075546151516765,0.6108953912390429,0.6879387578782958,0.660893621690261,0.6432620016514947,0.6246699709522515,0.7458127140196165,0.8182032686624034,0.7569164072757321,0.8077797921717914,0.8820497180626562,1.036029720622988,0.8891525222559978,0.9211014046783254,0.865303431099037,0.8083948490126754,0.7031254716075758,0.6999863989782494,0.7948049186436108,0.7376213851523563,0.7178993938412299,0.7817884953207996,0.798028741471889,0.7288476709878817,0.8001648577258129,0.9426425934577667,0.8100020202967521,0.901891610036063,0.9887171375542426,1.2511424209723958,1.0795465440673127,0.9005223366183581,1.2143166068967621,1.15373320801247,1.2739124639418244,0.941699485999094,0.819607247854374,0.7639255407169778,0.8229682421942627,0.7476907231235539,0.8522925048675339,0.7378170018867062,0.7030690951853801,0.6042227903317606,0.5731807354585391,0.5000263575472547,0.48794783585980733,0.4513078666135384,0.48608647617476997,0.6526252893269151,0.44957187149498434,0.5191742245424664,0.501078014820397,0.4513023694669797,0.490642550192936,0.6774028066434191,0.5896930267563157,0.6698462987024214,1.1559652400959481,1.5012735405430533],[0.434845729821536,0.41542531288020235,0.4748615236415741,0.32798591289462825,0.4480998548840788,0.34824549723447973,0.3405549264782276,0.34048358116160704,0.42253024395730465,0.34996213790152675,0.34090543425451997,0.4354688456045033,0.35433940262324753,0.4105221275676707,0.4849242960424247,0.41927883781191555,0.5089890162252091,0.5385308976159684,0.6655242025928817,0.6887901051360915,0.7783983324751593,0.8797715818763839,1.0669143162012413,1.1758982482487312,1.0933815044412383,0.8905961242275927,0.7460669832007798,0.5896152131808496,0.5113772282579928,0.4478519631037601,0.47191176495672743,0.4361604965161984,0.47585557919949045,0.4866826310571419,0.4234715263004682,0.5079674968758364,0.45339118083524055,0.5635003801032015,0.5703484086141826,0.646646974769147,0.9236008463783202,0.7713425226332679,0.7949345009294083,0.8855514041254386,1.513469269398421,1.88279805072294,2.456793671105033,1.274781488665787,2.135359517479776,2.3793160368146182,1.845452328703611,2.409456623949513,2.3308608489996137,2.1117167580672134,1.5917991159955573,1.1191094452899992,1.8701659890251103,0.9484519749328825,1.434554450173787,1.8084620566962053,1.0764702704035018,0.8136448490345061,0.677735948496914,0.8620448897512399,0.8599905971548222,0.7599738249345745,0.7947101481990897,0.6147876481368014,0.729291924899182,0.8048127145305177,0.8710304644178772,1.1391847290848056,0.8315401834764842,0.9382979447403706,0.6370316927174962,1.1393481532816403,0.6364902765683957,0.5816542028000636,0.5946053911742942,0.6556394431572629,0.5324720810490754,0.6230997172523732,1.1427585329280818,0.5941498788455993,0.680546572536389,0.5388002043692446,0.5766538967544861,0.5721218963858055,0.5544634435038741,0.5163553687408989,0.5524305903035559,0.7377284051018373,0.6075521266293124,0.48677322510915777,0.4480258576371283,0.5341202573202781,0.5252694386381163,0.45602160115990736,0.4232144888558377,0.5499332637734031,0.44375343906785875,0.4688447472865579,0.40220817367083517,0.42708730200439604,0.6365133904674787,0.5176897923425086,0.5909317679554784,0.5690765918166277,0.49069576014563354,0.5093916347409253,0.38558135528713067,0.38089727710629306,0.37881475754609006,0.42208740420159463,0.40776948263330415,0.4740087750260882,0.6057766848722342,0.675394170643544,0.7483904689889388,0.5591905330308782,0.6150576882755895,0.4926010626313454,0.5059412173534619,0.40255908163797127,0.38091461082815603,0.43410351305265515,0.39604300931079134,0.42599473830726375,0.4397225639578274,0.485219170576647,0.5057325620510752,0.51199750055866,0.5969997594911478,0.5457872577692486,0.5667389002317699,0.6343464769082215,0.7494174868709989,0.5926888904372609,0.5282823084356472,0.539116253005128,0.7905339237836236,0.9536927618914132,0.7564428199760046,0.6811651033636289,0.6438408867453316,0.492300218680743,0.46698742485866296,0.4498349062315785,0.3928289680332383,0.3717488632556961,0.3921464968242354,0.43956958126579043,0.6393560381581203,1.2144562790897946,1.07061875652364,0.4365641571259256,0.3824722486219819,0.36755214904735656,0.375141991194147,0.3991433077604141,0.4293684803185475,0.4632562497062552,0.5237782024897196,0.5760836354403097,0.6194294564544275,0.7856652144793927,0.7701809434552823,1.0618965946600385,1.194146129845122,0.9729113894449678,0.7119718668900549,0.5895351915138147,0.5745007903309685,0.5307969655158657,0.48171712899829017,0.47545060980944787,0.4730138442233773,0.5049188746277988,0.5323520164967716,0.49298489082073293,0.5833839375152041,0.4941533828730757,0.5680568901044499,0.6498032091546464,0.6680043673064281,0.805822277145778,0.9530620761785971,1.3072685700105238,2.1416933421809667,1.5474939291045893,1.8623388962740088,1.9607781432511158,1.5765365413251862,1.2259959349080982,0.8510316289881394,0.828229463488498,0.6637624693550068,0.6255861819887127,0.6042508218759015,0.5324509767611005,0.5129936854222259,0.4509422639651067,0.44146992550270986,0.4945896831578766,0.4980347319842313,0.5023944283878787,0.5700862697253981,0.5984468932934507,0.6120368488658714,0.648044408287971,0.6860928378369604,0.749045861321044,0.7950597075517944,0.8204592488660525,0.9351005529190147,0.9354725933986843,0.9358992194424778,0.8886856491171427,0.7260131333503346,0.7347044763374658,0.9811290863423472,1.3827085484038322,1.2006682522947325,1.4088979762502452,0.8119812856764306,0.6815975989991622,0.6868566708159165,0.6836602515645579,0.787669716481296,0.6791627349379952,0.7864243373517247,0.9270872772350338,0.9296367737501188,0.7421282658482959,0.8683122639285065,1.090390389745036,0.8667068799890971,0.9247570881438136,0.652670434358033,0.5567079299839467,0.5756922701411225,0.5811688080883021,0.6440657660154923,0.6601139477746673,0.645578442324736,0.546860634235454,0.590976646029631,0.5447340642381485,0.5291176366563208,0.4990761454111505,0.5974910869208726,0.6935486361702051,0.6345289187375999,0.6846818508891018,0.7347261944455746,0.8872092636643897,0.7697958394763085,0.7907695360748812,0.7324190870451991,0.6745144401452488,0.575087056306435,0.5989959592804901,0.6696539112124842,0.6319502553286703,0.6295603645101466,0.6883996773216675,0.7078993715872954,0.6576401257225994,0.7302868612472495,0.9000289045760871,0.7475289634725142,0.8338054074877524,0.9115770004927658,1.15733858404874,1.025967046433545,0.8179253963454196,1.147277932638342,1.1252070931624016,1.1384519143431397,0.8806575241895346,0.7386067581838311,0.6978599856324567,0.7825717598093034,0.6865599859312184,0.8079772815440058,0.7083246338602421,0.6461585716406377,0.5458775265134481,0.5173687976451847,0.44200952056633114,0.4090096009314547,0.38385059205710503,0.40201189699576506,0.5997840571429877,0.36878569308261455,0.41552605228540523,0.37739736483047326,0.34660911759441015,0.3658156908679908,0.5589740114959166,0.41620986598804055,0.59401688484446,1.129706707855434,1.4810823398863893],[0.47258425879719784,0.4830376560644919,0.5301520425992706,0.4457141453627218,0.5916750241097949,0.4907918092366195,0.5283800094022669,0.529571486780826,0.5849181372674822,0.5597926306599965,0.5774183200474413,0.627780151399296,0.5707427815258809,0.5763495347669915,0.6372904425437135,0.5821299270354798,0.6174056173780281,0.6165931903578615,0.66008150474797,0.6976474309187013,0.7694369054113672,0.883303223410244,1.08204988217555,1.1919617043456676,1.0872789772523592,0.8962345408042214,0.7735402769728583,0.641120427985694,0.6030250053393216,0.5942279755283746,0.6000797542989961,0.5823004366084764,0.6283702168917485,0.6182158196848786,0.5732294377771789,0.6121295978039822,0.5995906911173068,0.6587390288700582,0.6539816566077408,0.6961840834034707,0.9049030546020916,0.7879280850200967,0.8206157221787331,0.9400947284677984,1.5749664428419805,1.8971816799099013,2.5285218054628564,1.2554568390872107,2.124983778220556,2.2312746880036336,1.855681511524227,2.335709608696766,2.3331652714594546,2.108872663587286,1.6360269498311522,1.1195626956938434,1.8679512132964513,0.9628299439627607,1.390102918469436,1.7739631626222159,1.0729953779283146,0.7671125850827883,0.6656969802677218,0.8585000998386203,0.8377697901437663,0.7428326790489113,0.7823659376049262,0.6395833706904424,0.7488654819649612,0.8295685527805745,0.9318392692354067,1.1980903751530032,0.9216962487510094,0.9901286311979116,0.6971500957503058,1.176171821718737,0.6451398816244432,0.6287337459003625,0.6315802162752114,0.7055773525976909,0.6322674497541508,0.6999853051079342,1.2205252276687584,0.6951984741041094,0.7571914699949006,0.6301523943739694,0.6575801456923245,0.6702658382819332,0.6352729361090734,0.6130195433353087,0.6554267625624894,0.8414456054561357,0.7155165908855646,0.6244509500580986,0.5935800567223943,0.6810792641128116,0.6654041603239892,0.6198889659622887,0.6189283663972536,0.7206184125369632,0.6129904734236321,0.6210243056272045,0.612880432976477,0.6211781524636149,0.7239222729670237,0.6611223943617923,0.6650254989095705,0.6565808518455656,0.5870366725256736,0.6247856533497606,0.5341803426015442,0.5673431628858887,0.5604143891522441,0.587297373586055,0.5618620377757158,0.5721366655643588,0.6445764980796008,0.6540785845585447,0.7638982107770093,0.6179374966695705,0.6479250909841588,0.5860949488981047,0.5914506773553437,0.5561042314935476,0.5730090671478026,0.5889208075253503,0.5535171897599547,0.587386280752223,0.5920292361954929,0.6271294217509358,0.6112144232444523,0.6231084574377185,0.6881218304911721,0.68293052705796,0.674336583865804,0.7359112182901274,0.8353240446198313,0.6828139080502889,0.6111432375740168,0.6027858749650068,0.7888148338732385,0.9219330894257775,0.7723645787629346,0.7445456559347713,0.6967992133509793,0.600626503724703,0.5784905737493735,0.5952569202340234,0.5538421670170164,0.574914373380959,0.581789665974945,0.5980934045467455,0.7384390956153134,1.2561201730999334,1.1630291098164471,0.626705420303341,0.5987418389400567,0.5802257393910916,0.5944393577477721,0.5814628164414879,0.5951456952553414,0.6048660526323562,0.60995651440054,0.6622618626769062,0.6601928369350977,0.7559394234966744,0.774952213242595,1.0170804557267947,1.1593114530783115,0.973700461067147,0.747329034182942,0.6636330057890895,0.6586661741153779,0.6432214920536807,0.612066738229649,0.6178800389951347,0.6346233283687546,0.6524760444025505,0.6604146473347946,0.625597458816258,0.6770574867879025,0.6277136731427003,0.65819110840138,0.7095027579215434,0.719693083299017,0.8608935974724403,0.99701201997951,1.3469051501766662,2.1079513894729893,1.5092708291785288,1.928289688606955,2.0963862399226665,1.6124773293056207,1.2459122783664975,0.889707445257002,0.8783854192459253,0.7307701755418591,0.6872337631212521,0.6697405811908556,0.6173513992878696,0.5933763301475622,0.5501633009318625,0.538984012577608,0.5641095552030824,0.5553514918556861,0.560718322959373,0.633197185912918,0.6310828773438718,0.628752043930554,0.6580255340180529,0.6772091638490624,0.7282243972208506,0.7824485491473293,0.7852539957982511,0.8782045063632326,0.9069678473395038,0.9061527194818799,0.8672016315645888,0.7107261063967265,0.7070729608542609,0.9435804232455601,1.4732894254700823,1.1587204334970194,1.363221006895929,0.8094258609831393,0.7265882037422615,0.7647575674378727,0.735039236526276,0.7869336745654357,0.7217873101004078,0.824534239385403,0.9104343859328654,0.9205610326256803,0.7621806175394914,0.9191440738345305,1.0598539459081624,0.8848086110166403,0.9486066763266104,0.6958945675725198,0.6525386932306064,0.6676742736557156,0.6814720591307442,0.759955831791449,0.7542338766905229,0.7862484664522794,0.6776669620686365,0.6428657942869712,0.6652833612496927,0.6398192273438181,0.5812966568747788,0.6633941754390209,0.7615303765702748,0.6720970222156559,0.6877557173674008,0.7531656570124612,0.8711016780320489,0.7613915543256667,0.7748972109337999,0.7249764941846082,0.674580816218716,0.6052992472554926,0.6089324900561823,0.6694341490712155,0.6532654633360926,0.6627551646631982,0.6830542277451307,0.701692459053309,0.6743174951061013,0.7223721415852603,0.8820698134010566,0.7514329139843107,0.8354960226869139,0.8904630457828342,1.1603057766689333,1.0400464529201636,0.8303352888826154,1.162396599641789,1.1486839204406651,1.1181835012043027,0.8725375079632915,0.7474823038795572,0.6954616340348957,0.8034899183436127,0.7184983768221582,0.840094622328105,0.769404194869195,0.7125801043551359,0.6252133252595652,0.6100727584502841,0.5940272208025373,0.5347452171495077,0.5291785583706576,0.5126452714144407,0.7615875526707353,0.5046113509954184,0.5053776735524594,0.49985279907612984,0.49585846834567554,0.47446608181951855,0.5861229438220307,0.5395479394508552,0.7762285543682498,1.4255451325046602,1.8011383815894424],[0.4423169820031473,0.4363331850742812,0.46289795182950594,0.3090196707250988,0.4460803500626143,0.2594894785067157,0.2622028271098839,0.2652732785102912,0.36814805401764006,0.28887090883183486,0.27768446942004166,0.3843808433598835,0.29326849001938127,0.36105225649415146,0.436806196176202,0.3574632363490578,0.4397121307771655,0.4558615353875447,0.58647294390772,0.5982183473526012,0.6719974909271119,0.7783856660641599,0.9498328419895089,1.0496657989868992,0.9776782184643589,0.7853416102179903,0.6471348266912025,0.501845907012615,0.43569080975187247,0.37894744574110256,0.41845094359155277,0.3606533944228136,0.40910768544507387,0.43388584611755493,0.36380906845188105,0.4432677720301941,0.39134929037166977,0.4940671714457466,0.49681782111527734,0.5555235471466027,0.8190368077375245,0.6767107082317076,0.6824369620834185,0.7680867406528631,1.4583178033099726,1.8205045208120765,2.3884024725779316,1.1500661251490165,2.1022210082165906,2.2486865870194217,1.761169365667269,2.321782668815385,2.2937011715348317,2.114961958567497,1.5179315778856601,1.0347681061634109,1.84127959003897,0.8527491902997846,1.3823104043816328,1.6986963091544212,0.988942778300074,0.7109815423096563,0.5850842270761021,0.772699185499089,0.7476967641505671,0.6644564326819445,0.6880728216465924,0.5403680448336626,0.6661538024842131,0.7550269212439538,0.8213228598149008,1.0773005413853356,0.7757013527524819,0.8633613313857189,0.5707575758736397,1.07324334141874,0.5491784058133905,0.5071713668558304,0.5201285108992417,0.5777051149338797,0.47380832407252327,0.5534736301782808,1.151914215639639,0.5382064671750078,0.6172908959427338,0.4810461692899082,0.4979474297857786,0.5080832770357968,0.48674928150457836,0.46161534575580254,0.4952846378571713,0.6792740460919192,0.5725965388680043,0.43836091612780065,0.39722020363499244,0.5084804534408985,0.5034930916633605,0.402946972842004,0.37012052338468177,0.5134534132121382,0.38108842468328913,0.3980880837646708,0.36434364370232847,0.3794805238958424,0.6016548369121276,0.4813599856751916,0.5482988712857183,0.5084939556511727,0.4403373419988754,0.5121589187315605,0.33256731290281466,0.3575985522427177,0.3308299988396289,0.3827700326907123,0.3448707715307594,0.400751037380854,0.5353572679284219,0.5890171430555853,0.6373313478771007,0.481512160791268,0.5354940865408006,0.42740227563519567,0.4387898788360189,0.3305185016108653,0.33295090693473606,0.38840846080157576,0.3381482906957923,0.37270300447663973,0.40102428104023824,0.45931064335411026,0.4474062863828609,0.4637630650420691,0.5275870040315229,0.5101600528107848,0.49761385300951394,0.5692742207407755,0.7075053960397691,0.507942328081187,0.4579450177212061,0.47268603948144333,0.7394665994641768,0.8520156237927576,0.6802616457421958,0.6159528593334435,0.5519430488872548,0.41917000813780525,0.39483874910622685,0.391961139845555,0.32658186105401404,0.3292443977093134,0.3471221327295129,0.4091791725100697,0.6111226592724535,1.152482113743127,1.06031432102016,0.402310777113307,0.3344084475096262,0.302831746184168,0.3199906699462065,0.3602928966230433,0.3774669726708241,0.405514675935905,0.4493028467370329,0.5029595341593023,0.5290628439303584,0.6761803726457186,0.6613910903199077,0.9275034412417363,1.0694846962507556,0.9055799280278859,0.6192101703052661,0.5011749785683466,0.4900177267407742,0.4557107918078152,0.4188158120636733,0.4428573924105601,0.4461045283852295,0.481591267691136,0.4792785181133295,0.4339142127702758,0.5204997815321023,0.43529105326632367,0.4930611846943165,0.5708079016551684,0.5887605625820753,0.7636345260284341,0.9045299629501651,1.2496270199408153,2.06245099616704,1.4336425827357009,1.767167574368989,1.9744645945098347,1.5086451338097946,1.1457464391161474,0.7541605961797189,0.7293881970640076,0.6034622350077038,0.5556781386052001,0.5598627022597519,0.5235770627934861,0.47825967854161944,0.4206822137215402,0.41599887130640995,0.465560229675175,0.45055589221742254,0.451751797962126,0.5430038911371492,0.542565452594706,0.5224929556757527,0.5646765824598872,0.6040669483601496,0.6380412017919326,0.6717452598104169,0.728036605530307,0.8232363730120091,0.8574391442714145,0.857979120352648,0.8076014734905961,0.6568186471817057,0.6306535652143385,0.8462591324780464,1.533078884272263,1.1004578757510637,1.3456224994521417,0.7289158682431953,0.6169344656047447,0.6478615491230144,0.6377312094345857,0.6772216926280101,0.6048345095894408,0.739484512512304,0.8287672797202741,0.8251527163113128,0.6611536267821065,0.8640787251889764,0.948665663161266,0.8072101647490478,0.8633036526480072,0.5970202004683853,0.5404552773758158,0.5689639497436784,0.5921066950111508,0.6885837804738459,0.6343412174811359,0.6736197044378379,0.567070208148182,0.5450920335841519,0.550687002541357,0.5053943446925457,0.45957073927160136,0.5343053306919808,0.6347741927916754,0.5546584893379654,0.5666569403808879,0.6225228427203489,0.7511118829798179,0.6415233888531504,0.6417784115402192,0.6061109497514454,0.549867856053027,0.503619220875329,0.517170999178558,0.5614559510836958,0.5499747162838655,0.5703254477617135,0.6016219799963131,0.6253009366557675,0.5968254553713358,0.6441787735027994,0.8106149987503127,0.6877321290326815,0.7474149416209623,0.8034693230674194,1.0667247432225768,0.966779947733338,0.7629754462853054,1.1099896778760026,1.1741559263757901,1.018975374903676,0.8412645281348432,0.6986434057774797,0.6388811155760948,0.8211224190514984,0.6732577648758544,0.7812142166396212,0.7308345625472836,0.635931030198323,0.5299533814392237,0.4906308390272714,0.4334077142990452,0.370065348270976,0.3311172140142535,0.3344429457787333,0.647594257427337,0.2989307833235117,0.3598168422268798,0.3048838816114933,0.26939715885583215,0.3261799330192477,0.47215147325513496,0.3614556643041054,0.6204928847344581,1.30807637057658,1.6549426746414946],[0.5221052565849016,0.47469452465709977,0.45708557250151455,0.32773582480064467,0.4221459205807861,0.2956042802761967,0.2731145045516817,0.2955927423551542,0.3564564801103879,0.24937777614528822,0.26398345111106786,0.3770993931705459,0.2520335535985643,0.31276609056226096,0.37388836643629075,0.30000733687113756,0.36864915663297426,0.3805449706560887,0.48818359096320785,0.4906963684639574,0.5624094609419604,0.6704206194908319,0.8210201968383429,0.9164425983083839,0.8391702108309231,0.6641580783763469,0.5314869949930823,0.41312151654093365,0.3600121633224533,0.317008420161267,0.3758144464943594,0.316148920141931,0.4077614926992716,0.3667781150277664,0.3006871793509456,0.35234080549045876,0.35419629044939127,0.40652130855031,0.37915673689199864,0.43716395660802454,0.7052962229227202,0.5566328773713008,0.5462186283073344,0.6549953305900156,1.3908163432080847,1.7747302711958768,2.2985334802080164,1.0059199261408038,2.120120903025263,2.1844612848739553,1.7303209302645968,2.3180403008503805,2.3681673901563762,2.2480121035277016,1.4475579815380533,0.9662415525251958,1.8496070150109372,0.7311015549429136,1.3197385041301342,1.529463996823782,0.9248451056224817,0.6431994320041965,0.486473631585968,0.6919208067856313,0.6370440675183455,0.5714384929833385,0.6253326138181354,0.47280523309666656,0.6270626076536311,0.6930692508441717,0.7625426307942462,0.984805861820696,0.7787279986531955,0.7537861770464226,0.48716850525478417,1.1024748222595693,0.4434760953171946,0.41118978222274855,0.4104023773700181,0.46938904137773996,0.39174285441508544,0.4964010114123465,1.1539687564894103,0.4418559086482533,0.5402995895557295,0.39580895535917926,0.4045420174266548,0.4480554411110129,0.3841552656526334,0.41937259973361074,0.4123439432108912,0.6602263776027051,0.5062389632839069,0.38576042327717813,0.35348100120532416,0.46467877915868405,0.44897375390111727,0.37132295065567217,0.3606449041841862,0.5282431052571558,0.3503564312500226,0.3938158843347827,0.3281780851795781,0.3937715365453527,0.5320000417028513,0.4637049479455287,0.5717864882568016,0.4625840152688105,0.42339689748071596,0.5543377661461883,0.3429059508305247,0.3241728559649518,0.31080646845787907,0.319793639537006,0.28551730933584685,0.3283324916798907,0.4735184845622678,0.5516648346362092,0.5462560180713667,0.4026548039044982,0.4486200856858962,0.3511482157448144,0.3592189942222684,0.2647548336151929,0.2969727819258284,0.3433815406292188,0.39083437323369524,0.3251983101122115,0.3578847656492838,0.4123960279743937,0.38039400590564487,0.39876064324128113,0.4371992019253509,0.4754043092445894,0.43314039802538074,0.5073256060269467,0.7178065243834167,0.4403262295746927,0.4608264820161613,0.42374530573100405,0.7097668987235058,0.7543195555868233,0.5856052997002499,0.536525601961657,0.44492361665809554,0.3300457242366151,0.3152317858630121,0.3341901755373757,0.28563675704238806,0.335856470105152,0.3653500347817657,0.44109181321239577,0.6989402899168872,1.230762794859724,1.076633534516017,0.4201109873534568,0.32172792729323746,0.3208219183276297,0.28556060375777875,0.3557596519902509,0.32403065513342755,0.34081241397267925,0.37935274622957343,0.4171520918167483,0.4406571941848076,0.5972079786569356,0.595191840361965,0.8514803252642538,0.9961105941015864,0.8783587775958639,0.5730634093271155,0.43465580673890214,0.4280265944980863,0.3904578074361274,0.33966210953205955,0.37855040190252537,0.382506493458219,0.48911028983647675,0.4004244560921544,0.372895863044261,0.44392768977007835,0.38321789532837514,0.4103677618182056,0.48434509385594604,0.513849785475763,0.677917115657498,0.8316247746310503,1.1731053040880255,1.9535303412680893,1.3138200426141817,1.6129461478828626,1.8669001045224904,1.3904990890130995,1.058266175211808,0.6545893364436506,0.6277584321396252,0.581711629108571,0.47695877824868615,0.5045942688873736,0.4713360617919119,0.43624852555539845,0.40667686908102907,0.39546130912753136,0.4447471726555396,0.4454024099526772,0.4520231757288698,0.5318223411988805,0.5311717347175406,0.5327542598027046,0.559194343323195,0.5883732179771737,0.6346740297623615,0.6773748469296016,0.7108752194112413,0.7772834535300095,0.8146189624793952,0.8410165809178459,0.7952088600527566,0.6425299621440729,0.6176881526614549,0.8075017735328864,1.6723748955441813,1.0973265930568636,1.3655326417835847,0.6768707022330073,0.5914398742177923,0.6681437977684653,0.6243093944938531,0.6395017610063127,0.5563104042732087,0.7359866019185024,0.7434115743704711,0.8059002589937992,0.6193615186597261,0.8029115438522025,0.866360486495646,0.748973088160795,0.8285045692756959,0.5358712879526494,0.4723374154428205,0.5162314776584335,0.5881384856100529,0.6743814652468053,0.6613806473111663,0.6723820615784815,0.5717040977994181,0.5301204315775756,0.6044606638078254,0.5364903420282786,0.4833774100164716,0.5951408456306674,0.6936951206536504,0.5997962347447482,0.6022750421244024,0.6734620869282665,0.7779079892454165,0.6573034480531474,0.656720646667297,0.612682745268303,0.5597962587908654,0.4943629122797844,0.48715337147325816,0.5490717066306692,0.529557233274633,0.5397747773003733,0.5590156151739639,0.5936574230887951,0.5504497557219911,0.5792838680628901,0.7614142373469853,0.6521293195801422,0.7090545955600104,0.7376341572542727,1.0295049715320095,0.900112982709135,0.7526658456612336,1.0146686185506801,1.1228987526428238,1.0789050291775677,0.8238747058748208,0.6771425209678917,0.5961643773660807,0.7958097180424023,0.6560841268715066,0.7538560775739495,0.7365388405563892,0.6136496405642986,0.49492517551914145,0.45418473133398446,0.4135852518475122,0.3703044871928455,0.33193973352772976,0.3526547575759942,0.6783251792558735,0.32083226833679296,0.3789074623094356,0.3550679629114706,0.3193826081113634,0.36053163900988133,0.4885534071859598,0.38199917431527514,0.6368441093246427,1.2737169538255584,1.689444775899849],[0.507108366402695,0.41147234977379266,0.3490851074673958,0.27127867486490914,0.33457774472528856,0.27642936355022596,0.2396801503645947,0.2612923326562749,0.36232434776269523,0.2428088708107953,0.2615792519211767,0.3670373267418424,0.2391559364539929,0.3151898549952078,0.3627238976889984,0.2942273679632493,0.3365419009925307,0.35767864771597346,0.4533432443665944,0.44036631206014903,0.5002799490863887,0.5972810594288951,0.7480715457295604,0.8145238069313849,0.7757727801122024,0.606974388586785,0.47275045687299044,0.37921822414548506,0.3326679335732483,0.2930341068182348,0.3569447194486478,0.2965236516640574,0.39128863215759946,0.3664984781904109,0.2834707336885003,0.33719956860839867,0.3127744407236188,0.35671668511337445,0.32714760929463005,0.3784303750986189,0.6514441883257431,0.5111842849910356,0.4878479736572272,0.5923274587666885,1.3479857177101375,1.7371774941719376,2.2296576259773877,0.9172137747475674,2.1299205778206014,2.1174520033858175,1.6991801108699482,2.286492608797656,2.383116651772757,2.306958640163193,1.436769852553648,0.9458492874333939,1.8467622342546008,0.7013625905365852,1.3025049426320423,1.4462566683984877,0.8930594140488305,0.6216575589328682,0.4518803539907916,0.6501914188306929,0.5662620300812513,0.5305828462545992,0.5772075669024049,0.4429224175597631,0.6067330594634285,0.6884728609182625,0.7575911736879564,0.9863859416515165,0.7705361356971805,0.7058508693693587,0.4627927392253534,1.0548161640010374,0.4057364532593084,0.38292810303631214,0.37396712384649083,0.4328777826709915,0.3642394005334022,0.4694847789683695,1.1575271806957008,0.3961048052847439,0.5144734705943301,0.349895762632976,0.36171053796655755,0.41226389439878547,0.3509495448669056,0.40377078022405827,0.38961862837786265,0.6349165308859598,0.48806867849876745,0.37081858676353374,0.3485476419500208,0.4546865663962161,0.4473274580517794,0.362703084401494,0.34614586707686734,0.5186729657013952,0.3408268872678266,0.37411172649393853,0.3030576812983361,0.3509206116105202,0.45525186768347725,0.4225717848216029,0.5275251370903936,0.3869803485324038,0.3233526622857943,0.5029809845083186,0.26375572892150373,0.24876430051167367,0.25564485642352575,0.2529487174352238,0.23429209866427972,0.28469997368701144,0.4414303384453122,0.5436860932286844,0.4660935430208923,0.37540296644755833,0.40958189107370824,0.3088429067856723,0.318935494181523,0.22216429116812175,0.236955068193505,0.26451573911512133,0.26116027577215345,0.23258407633815073,0.2448569202628926,0.3223600613371334,0.274542649241828,0.2852894356004324,0.3468096138513544,0.396723744048518,0.3710411974417495,0.44711838530044123,0.7061433037278192,0.4039485354746006,0.4960580900137549,0.4044336778412971,0.7016808850301537,0.699461742990449,0.5266576094316634,0.4730941073544667,0.3721947508888271,0.2878646298709763,0.2601967985913061,0.2845259813782222,0.22896960697944024,0.2891769015040104,0.3356269804729208,0.4499811150689733,0.6716500650373847,1.1815225407242422,1.0899732250961025,0.4129826562299432,0.30981635552599385,0.29415449816898337,0.25168570216845254,0.2936565531282837,0.2730026145010136,0.2950088799784902,0.3214628841560015,0.35152351840765944,0.3852939432162139,0.5571579667842608,0.5590459361774963,0.7937382762229656,0.9134241682465206,0.8638988870081408,0.5383556148763382,0.39605228690013505,0.3701999373569294,0.3366648982816423,0.27428908834006294,0.3311368379563008,0.35177347068837483,0.47136229662039203,0.34833703293562024,0.3308863195707347,0.3732575802238476,0.3089135473042633,0.3365851951802028,0.399078120476372,0.44976292405211443,0.6453149947253952,0.8027791656379718,1.1732798415848191,1.8902016383173152,1.2398354717587496,1.5530378346548983,1.8798485724844811,1.3488737404519715,0.996701021822597,0.5651185880450802,0.5182622943254832,0.5511862387692742,0.35212532855064316,0.3795006826963212,0.38237497407948134,0.32829247262192063,0.3423121632558778,0.3229770943999608,0.33825144454757555,0.3522343353412358,0.38914307074850196,0.4574825121598919,0.42381622661652635,0.4534139588376755,0.46000850628233125,0.4783833939964961,0.5177016067485898,0.5710054558461757,0.6369311035530433,0.6678242057193923,0.7387599818806502,0.7316426332474976,0.6781563515892999,0.5193630016526355,0.47811932193061946,0.6554163394804378,1.842501665886261,0.9700642084949187,1.3103184334775049,0.5883994001755902,0.5416781632561826,0.6053378774770312,0.5834357928378582,0.5485322905607064,0.4507437992937395,0.6553114134645275,0.6614383316336321,0.7123962212972992,0.4947936435612924,0.7633235640523106,0.7005925847923142,0.6261297528510874,0.754491003448323,0.41364202896176544,0.4113958817702238,0.4700770355964573,0.5414328639706613,0.6671907322883028,0.644757545592411,0.6558851413445036,0.5427832220255103,0.5072590860686002,0.6087089883447839,0.5102149934637883,0.4696268632425107,0.5820243248132531,0.6873588813727749,0.5597924151271291,0.5519459439867609,0.6203574500045901,0.6958667528570532,0.5566952301006051,0.5563997829011533,0.5050076110823086,0.46504282865380675,0.43547406877826816,0.41091514362474296,0.4439234011731667,0.4239443798146074,0.4368438347040272,0.4354281187629034,0.4717569805094381,0.4327081279941069,0.4582199626236467,0.6223427539437383,0.5522749616750763,0.5700918687520249,0.6115566413920877,0.8917950871181343,0.8016457051770742,0.6598721939936016,0.9143250969704293,1.096365319345874,0.9240660684428365,0.7296394588673861,0.5932715098957191,0.5177034822182759,0.7757878304782496,0.5752692787516837,0.6485292824410523,0.6647078082713007,0.4998579054919047,0.3834889587813231,0.3390040351320472,0.3154036056501685,0.29158385699854933,0.28848996263570936,0.3048872812726463,0.713494097444607,0.2879302307895325,0.332943352339831,0.36026563228800645,0.3017110031082205,0.34545849207323975,0.476972337252758,0.3978045879774566,0.6932102678566031,1.4766254570384103,1.8794462195906791],[0.5007649538513312,0.3640399151110105,0.2811910093117028,0.29435340235740276,0.2984036964071807,0.25621525165341064,0.20416220187680972,0.25167681339900266,0.343831235653359,0.2824786736762783,0.30163487823493473,0.4224526500910941,0.3052632406628875,0.40477928877923386,0.4188938967374053,0.3643488716658132,0.3652692956895815,0.3973099854321571,0.48784890083317883,0.4597880673601734,0.5098481471386848,0.5911380914945409,0.7193687393349533,0.7787456054945122,0.7472171553804282,0.5914421674239807,0.45370606619140197,0.40579096194362185,0.39316786743240345,0.34696523068762947,0.39907040754157264,0.35805907991729835,0.4324150274941338,0.42895600040603415,0.3568615521187186,0.37105855472917565,0.3603699120646393,0.3949185936276085,0.3530610150309581,0.3798333714935497,0.6538968029291835,0.5123829578454379,0.47761219787871445,0.5882341293514068,1.297734116168081,1.7180517166709173,2.1002140507448193,0.9000602235140474,2.1919999725133184,2.2014771887574542,1.6883341760939379,2.329740178472625,2.437848827816226,2.420675691012495,1.435475012169375,0.9722134644727541,1.8525510643515586,0.7224393447474963,1.3643756082697414,1.3440615268786908,0.85886534144742,0.6309966921856065,0.4674770700074399,0.6719824157451743,0.5516697762248867,0.5295718066124587,0.5932552527626515,0.4958140161750847,0.6647980979722378,0.7237197205021175,0.7932324213615611,1.0346173702002097,0.8458954203418368,0.7210261483852828,0.49967963825108735,1.0693059582853945,0.40563569925175874,0.40848389304902827,0.3855790950529984,0.44151104329602103,0.3959377838752766,0.503040180067848,1.2017040037936493,0.43288956882069746,0.4906804968055743,0.3777267893344109,0.3902293293286325,0.4507998884015276,0.3724760859080726,0.4730772699408791,0.422511047030448,0.6223148972672944,0.4995686906335383,0.40654985815644856,0.40287180308154363,0.487999340442991,0.5011591003207972,0.4203704727385695,0.3874702398766232,0.5174084191468817,0.33856824746630726,0.4047205060152958,0.33900748711727874,0.39536929418030137,0.4637514916639167,0.45399723005262116,0.5972023180243007,0.39395900078620094,0.367881116920346,0.5170389606860165,0.28822069962473773,0.2875434701900454,0.25996959013193727,0.3124364794327441,0.2883547046659448,0.3411110117128583,0.5081802751197302,0.5953999770862337,0.4575745872254422,0.4145486766609295,0.43399445695114997,0.3600372689451201,0.35046773054005825,0.29482914893223117,0.2899148796507758,0.3450508200894805,0.3523183823290531,0.26148803384861086,0.269485195260787,0.3353851664133591,0.30506374275762627,0.32122231774872145,0.35351068401254504,0.4364386597574907,0.3888820646021038,0.45956442576627593,0.7388092859085957,0.4281892969561267,0.5277902875388466,0.42169937306963867,0.6926715171537513,0.6431812416177899,0.518615888475389,0.47393614973841286,0.3782366103924809,0.3339953831145853,0.31015602769716216,0.33048499042494883,0.27367954309655795,0.3256722727816451,0.35159501827920475,0.4295048081166847,0.7469229840579005,1.2095984735803949,1.0348598819176316,0.40047886662585086,0.30910913980429267,0.3213507103247821,0.29257550156644135,0.3722595576788661,0.3119036641541902,0.3418817313926248,0.3574033937549963,0.36915194322775396,0.40446664294197654,0.5648313003256314,0.557565757466129,0.7717718815221104,0.8989276149229094,0.8534016836146546,0.5533931158466568,0.42242684294855737,0.3992288318200826,0.3653314584968331,0.313870531669317,0.3664164486733106,0.3825798759281319,0.5349844652508061,0.3733198429169254,0.36408728942265595,0.401056896719669,0.34639476579297374,0.3532784741554137,0.4147128918671621,0.45895797509921565,0.6167798231654875,0.7794432567755835,1.1109911378364332,1.8767963276302329,1.1915112434560176,1.4065129575916642,1.6963558612834535,1.225605017758422,0.9312265691205718,0.5240282490082562,0.48820239827280737,0.585564924188744,0.3559705166741338,0.36478698465870446,0.36638680506603694,0.3035520615880448,0.33952249689159647,0.31405312177427447,0.32214188552985756,0.34871629945012633,0.37649711468904273,0.43097624695026815,0.4012874375901391,0.4398094710623825,0.4299748380922824,0.43720311123947914,0.4915237915114654,0.5502374714104772,0.6057899008032621,0.6168672825190594,0.6805975225642538,0.7125333638357164,0.64204882709385,0.4774478910609678,0.4601315257862455,0.6052539918699589,1.9091494306178711,0.9529366942096126,1.3510138158983132,0.5662124670358554,0.5299918299303915,0.6169219239394546,0.5721337974843772,0.5588852747795511,0.42607960761913444,0.6735089174929434,0.6221998831038595,0.7390201450346955,0.5031186657549512,0.7635896479767227,0.6625674987768907,0.5890324610545656,0.7306784686683261,0.39073388545652604,0.397062319722881,0.44819932760111286,0.5330222531216052,0.6418691253717638,0.6657604649477571,0.6402374533357172,0.5321750134637582,0.500354114185606,0.6261754330319854,0.5158368005642132,0.4738244017279976,0.6085628313200868,0.7137541720151089,0.5698012316186135,0.5679163770614584,0.6551689996615264,0.7198428991254113,0.5563513039023968,0.5614883773904946,0.5004138072733194,0.46839443700618194,0.4360415499527503,0.4026630844276069,0.43790071772435196,0.4134971828196871,0.43981555687575463,0.4195215494530165,0.46034119531361106,0.4073583360777791,0.4243046374595641,0.5912281015051775,0.5189763584077044,0.5422637978750373,0.5726122383372565,0.8692857863393776,0.7448312988044147,0.6373296628960629,0.8286978899797449,1.0332111820895442,0.9269932525449421,0.6888871363576348,0.5535645918706348,0.46653507003211453,0.7590579982179304,0.5672821373478716,0.6327891195637496,0.6572936089400059,0.4904692093726335,0.38346347786320745,0.34120422165298375,0.31138954571966493,0.27599290434316676,0.27973241707385177,0.29896783094906154,0.692053616015212,0.2761043584689834,0.3308653502063863,0.34261794407850305,0.2761548982579125,0.33598638000614467,0.47820499423973883,0.3849842478537636,0.6453247825228291,1.2617923825628574,1.629367120808225],[0.6021409528467132,0.4705994568687662,0.3651556168234253,0.4113558629597923,0.32717994910574183,0.33845536924920777,0.22845871402943702,0.2428015766068312,0.31882325437501385,0.29066315084795297,0.3538690429512634,0.4470751395374029,0.31650105675878704,0.3772474991282782,0.44432899851808877,0.3862633482579735,0.3730871211169808,0.40348127292172203,0.48897300766559676,0.4417133598921166,0.4828982488180685,0.5832968011833475,0.6621921677508558,0.7292406299902537,0.6808002688723227,0.5492339642439258,0.45384319680198754,0.39959672798102436,0.36586513084298117,0.34486587631559995,0.4115024031335238,0.378882342362317,0.4618935398308032,0.4399812359934561,0.36902700994589205,0.37304854971269397,0.37997115725511116,0.37910620355589014,0.3605413416668121,0.37852301647662856,0.639372735826018,0.5116236396543612,0.476629552389232,0.5680320051306782,1.2967454029212822,1.6810756941510467,2.055107753451894,0.8307097296460656,2.2347795309182668,2.0866122571558674,1.656714781463133,2.265991700971389,2.445208637006109,2.48047014854637,1.4580477242673782,0.9428317545067356,1.8122939598230483,0.8132403138216174,1.3683847994769036,1.141097960163697,0.8244602920789685,0.6159245197788464,0.4660812087979223,0.7068513187991797,0.5348672859506167,0.5084243265913572,0.6514576998030929,0.5154944197360525,0.6628484503278015,0.6792344947436082,0.8230374020287465,1.09307204596357,0.987676362865484,0.7205743623341069,0.542335982433926,1.0885835848736927,0.41766498843110766,0.4375616581764931,0.40140383915263433,0.4399220798018559,0.4124015946093099,0.4962150142433382,1.23684185294163,0.43993513497215925,0.4857585797782326,0.3793217789141729,0.3906500635959555,0.46261591361699833,0.3836236381115735,0.4804525585147529,0.4318710586971256,0.6068740470774387,0.49432948955788675,0.43374694439107603,0.4300829147224511,0.5194799380201061,0.5531635235534899,0.44954705561311914,0.41775397652580537,0.5675198681183429,0.38206086310746273,0.4423919495703215,0.3568020253296701,0.4169584011217865,0.44653090463827316,0.4533360035893206,0.6230635074916487,0.3899502860003591,0.37501120084809425,0.5340009802086764,0.3067398845170013,0.2700590935967611,0.22806534311119275,0.28820100513647423,0.30384818501699384,0.33714015891738786,0.46691705166751163,0.5809170502380572,0.44760579567163555,0.46603910173562035,0.4075603710161938,0.36010227768505554,0.3169970115260265,0.28985771373342367,0.2613792850479912,0.28978855342795623,0.3532702998931432,0.25625425851502265,0.26226991568559377,0.324846325356113,0.2819906697080578,0.30895359254047344,0.3072366807487135,0.44930191350924936,0.3582745578586783,0.40586839674586755,0.7004409141184778,0.40908819912088296,0.5478029906869074,0.4017529587175718,0.6596524376262152,0.5756112573114401,0.5015601693225642,0.45840976468072075,0.3473279029673103,0.3247832619107135,0.3023064777584884,0.3121410928976629,0.28441719872476207,0.3208461972369412,0.3626975051528679,0.47893182161207204,0.8238558233220219,1.2736449554920308,1.0960556915572444,0.4636611057634636,0.3333001189020368,0.33851835242235845,0.3032820553988247,0.3687937249914979,0.3146311561529884,0.326413966351432,0.34626564087935713,0.3446860966520266,0.4023746526354882,0.5156943488633225,0.48263845513030046,0.6568632753012116,0.7764335060558829,0.7803855155314232,0.49504310080218755,0.38934276816653873,0.3740944170246953,0.3496658835368168,0.2997713758981565,0.37785147685024,0.37161315040200166,0.5912838175212488,0.3533943681848041,0.391853483291052,0.36347049008101007,0.33196599881975686,0.3299269035957095,0.3610980370970146,0.4252559488051489,0.6012894614077958,0.7358730467751599,1.0876595559912192,1.7406929678490817,1.124752044766377,1.2947458751427832,1.6275007914913304,1.1121505312883582,0.8218775360004125,0.4449377868195382,0.4398953568348666,0.6303111384310047,0.3226073331579453,0.35042622412453733,0.3751753296584474,0.3398104503947365,0.3967131545163393,0.3571117779657128,0.36971232003404403,0.40053046213213345,0.41840533565305743,0.45509504346847923,0.42187345146092,0.4814711384435992,0.45178430096477884,0.4715967918476948,0.5243737597408539,0.5640779076693535,0.6571225768976735,0.6296653989760569,0.6608258580849923,0.7541172111529649,0.6488590456773947,0.5274679423488771,0.5189016945712581,0.5486388273426612,2.067707613544463,0.8849045879102693,1.4316786223895348,0.6174059806720988,0.5855781432965133,0.6407821588582979,0.6321516934408404,0.5791039611952836,0.44309409352346607,0.6703262330560658,0.6237218863273224,0.7637410893401961,0.513235618939322,0.8388847914278196,0.5904094774053188,0.586734480708238,0.7348234066707605,0.3972816218211798,0.41829579865101263,0.4653709498118564,0.5614499801847845,0.6699654359369497,0.7702465081786882,0.7011489929689778,0.5613472817340821,0.562960177581969,0.7185484000108767,0.5816864464036036,0.5353450392389466,0.6824526808537251,0.77204856522896,0.6122476686427182,0.6165263106829199,0.7112316072128761,0.7120630632118978,0.5808584467916884,0.5997429867792675,0.5509538999289781,0.5176579702942381,0.49343660465799183,0.45615466165384083,0.4950542179094253,0.47479470199073753,0.48875324050839997,0.46501956114094684,0.5158072602127934,0.4460718996899703,0.4538781771174825,0.6014930639069316,0.5415958167575039,0.5288059254038636,0.5773962962068171,0.8273329894961098,0.73884761547447,0.640981547084262,0.7776719508346523,1.0084244629906964,0.9192179470447308,0.6931624884962443,0.560586669247949,0.5149321870796675,0.7834181541382146,0.5753803624138472,0.6069860946556964,0.6490236331431897,0.4883980380220401,0.3990594344251532,0.3550013877263767,0.34204919577757964,0.3402557289067782,0.34086749806462957,0.3673246598884335,0.772514472856389,0.3215484941221329,0.40757048665977763,0.4488863242163979,0.33739357302670775,0.46172914828579986,0.6676551715133536,0.4988517556711773,0.7718046206053749,1.5246695303885265,2.053431624970362],[0.5625235505079037,0.4196889668561985,0.4060259002772876,0.45150897578219507,0.3603047271461754,0.3749295657487676,0.2591303068812575,0.330588236317081,0.32534437274881656,0.2994464092024781,0.372551514324499,0.4961707180481279,0.35484176771032333,0.39255908339067835,0.4617421976406389,0.41844962058878304,0.39072344904360706,0.4145492485166999,0.47514190340920476,0.4483731099902481,0.4724200320475568,0.5604631344746204,0.6275920777240798,0.683325125473193,0.6540228574525588,0.5081091897167552,0.4220650763622859,0.39657718927923524,0.39999232197873885,0.3914234058509137,0.42881060122048126,0.42903290580778763,0.49659013519772444,0.4830561760721585,0.42264567611711196,0.4143931365331614,0.4062803223933299,0.4114265723741815,0.37394757644546334,0.4026985088674565,0.6245346481871041,0.4994973695015492,0.4576252219880064,0.6266057262977651,1.2735158787501082,1.7285163418080263,1.9682346924822822,0.8875441590757319,2.3118543855923455,2.2518371467578207,1.7283878369508363,2.3590155695804693,2.5807453688945245,2.6605718122184348,1.537092801370779,1.045324807053204,1.8879757721030892,0.8569663118791453,1.3786298948739166,1.152572071221064,0.8124903437800098,0.6442358038875369,0.4905425824484162,0.7098007496002203,0.5123940573024365,0.522154302733739,0.6106166801877615,0.5414092830507675,0.66879885719749,0.7146297723829466,0.8105888659887771,1.1059361398063428,0.9823413949860988,0.7064823002665023,0.5359308999762692,1.0703111186597243,0.4415958810241211,0.47396139247019037,0.44092892980148674,0.44531244666889436,0.4575222553356125,0.5297893549940879,1.2301723826948578,0.5104594019104988,0.49465575327357636,0.4066501318391424,0.4121825161158554,0.4816353917375959,0.4096718643503047,0.5226817399763124,0.46221224180303805,0.6246848662522938,0.5122909375295902,0.4653917369641886,0.4606740941459748,0.5270500709095338,0.5856534193027095,0.4805725548223798,0.4521674844030898,0.6004827388758529,0.41823188300608527,0.5033759694484689,0.4220945904073295,0.4485424678773654,0.48368751519098935,0.46468902435624543,0.7245799876882805,0.43152843809900765,0.4366219010725367,0.5861467596023111,0.362842675478287,0.3282178905231186,0.29315007745745914,0.29868494918503086,0.3047657040036826,0.32682123582196304,0.4874189190443584,0.6371464860465806,0.3812705505656265,0.4647555565093556,0.39628401822465803,0.34976150360252267,0.31550275447591003,0.2922536140317128,0.28037543877977456,0.3443403781640546,0.4591045958969245,0.3160510510432134,0.3385375544622922,0.3863933460935561,0.35385702408236475,0.394800763856605,0.34912961675350235,0.5004189912548365,0.3968494894106911,0.4479012396205579,0.7387996200368746,0.42454373414165864,0.5730524766299729,0.4022856566376898,0.6251745380681112,0.5308794988643033,0.4667566483299492,0.4176139136611155,0.33829756061387845,0.35186475255382305,0.31423723443845536,0.33090793187908113,0.320995983692201,0.36079012773555885,0.4095168024651323,0.46657659812959,0.8594218906735844,1.2918559776168403,1.0637145877931322,0.47389073581146685,0.3977053174629915,0.3993925209412442,0.3608864263355584,0.4410876489507798,0.334469423713879,0.3761639140610403,0.3689065852590148,0.3646069592043981,0.40959052834191173,0.5239484997268399,0.4941870376394517,0.6536678002980919,0.784762222515509,0.7848556382726216,0.5201532690099588,0.39403133630917764,0.3756713041161522,0.383540384306178,0.3554555212860187,0.42065897177016875,0.4394868262016584,0.6482361875723958,0.41510023018039394,0.4373125566518941,0.40891803338034993,0.3795309111525962,0.37419431509140516,0.41249246500679726,0.4518932655174373,0.6042253029803625,0.744257938562667,1.0502602245072985,1.7542360324616204,1.1219234973000842,1.1804200098804882,1.467163207781363,1.0214228022756864,0.7891850589074821,0.4447935098214475,0.4464307420693093,0.6550322313958276,0.39107480794050603,0.40045453751211735,0.4410401213707131,0.410545041741919,0.4607929599725559,0.41714745759877453,0.42617219171903004,0.4492972201771539,0.4602049727580365,0.48829455190015286,0.46114963345359217,0.5103549851129587,0.4834418902697115,0.5206679164011633,0.5558880232712304,0.581173630069707,0.7110181664049786,0.662383107427231,0.6947082039850455,0.7761506077093736,0.7040545526333057,0.5747655914474119,0.5602518200772766,0.5885574005515617,2.1508932292367455,0.9270592204601505,1.4737217473200432,0.6285763994126552,0.6102096077707398,0.6695744386355329,0.6578675059790242,0.6277979034251153,0.5006247245916416,0.709250664504366,0.6500488359428749,0.8296647919611296,0.586352929347794,0.8736432757247868,0.6377566821251655,0.6210656385654495,0.7646089063388152,0.4471997155792143,0.4946966927389783,0.5136495519171713,0.6111210771522189,0.7140139768317825,0.7976616378925907,0.7072804059489575,0.6024024023309711,0.6085566585881588,0.7587321277318272,0.6297022790033828,0.5651174199848981,0.7150753566601842,0.7960784560292357,0.6406346328579318,0.6480050230415321,0.7367974787963667,0.7341743229436932,0.6016705491234057,0.6249190637442784,0.5755156497360048,0.5503650053195686,0.5380966664312413,0.5093108705410614,0.5318502344827629,0.5101228136987846,0.5414672202360737,0.5119034889559252,0.5547491842416156,0.49996094385688195,0.5086082557294256,0.6406661686769616,0.5935502607352746,0.5688728918639965,0.6223936943122499,0.8636978598903959,0.7734662235159325,0.6986057902417161,0.8052691916823501,1.0292016454562871,0.9940817520277193,0.7505232222863012,0.6239237355115363,0.5913902693798684,0.847784173381148,0.6550544339042563,0.6688310354169786,0.691237997025195,0.5323041301490472,0.4431161386886734,0.40097008835977416,0.37956115209173874,0.39629854239364526,0.37721430063088984,0.4061032285313225,0.7478029716756278,0.36443072909323604,0.48022436654520984,0.45049028751119136,0.36010948007928206,0.5215013525524308,0.6631408553181483,0.42840063955478974,0.6316610298041699,1.1560171953048428,1.5010418132315915],[0.5418208447776705,0.3980285067523467,0.4348240104912049,0.5188263780738059,0.42156844374747227,0.42154960052766455,0.35406635073668624,0.36819504110226253,0.33152232143053834,0.3212206997767622,0.3777871405337321,0.5107625095712929,0.36737080006271744,0.37852498327360773,0.4983076629252784,0.45697555350695807,0.43821833488047396,0.4530444016290983,0.5085801063245128,0.4717989249143285,0.5124901610738944,0.6150762607690125,0.6358548152826008,0.7156840047021846,0.6565411598853652,0.5415423701215158,0.4691499230849172,0.4365460629441781,0.4200084647191213,0.4347340358831572,0.4883778534694176,0.4806074439595234,0.5734885500153662,0.5407519066481515,0.48276353821957513,0.4570412172667412,0.45082209114597377,0.43048855380409706,0.4239621046954152,0.4322551727591142,0.6873934334220233,0.5439266256088132,0.515883716110577,0.6323251099576286,1.2942264290998622,1.6735479288428459,1.984349641325081,0.8514120720042267,2.2745648572138553,2.125657323570368,1.690350774989891,2.2879617587956704,2.579395560015332,2.659807036548894,1.603217129898507,1.0571564170105947,1.8486098364300256,0.9593165913301687,1.398018297932241,1.0452125958915275,0.8183924938597651,0.6664032787530493,0.5330503574950057,0.8178955233837091,0.5433078022086859,0.5353393619258259,0.6859643434719299,0.5962398778114911,0.705139550185476,0.7188471799484496,0.8425218299024835,1.1940832929933107,1.0799689675926853,0.7876315365123373,0.5856642708517749,1.1199366862985956,0.4849790099911713,0.5386576307055868,0.4879745373368275,0.48475922623977985,0.5103969728696112,0.5711578655515474,1.2511416392221288,0.5842662986988624,0.5225369688320036,0.4473464227287087,0.45076387069482915,0.5329105610468384,0.4594985634858672,0.5733216837032021,0.5251404207688563,0.6941553418641541,0.5699822107999465,0.545379348860741,0.52774675658722,0.597557627472795,0.6545889664784363,0.5471966082967669,0.5266119580181489,0.6799957326295082,0.49411498278609134,0.569156150536039,0.47734164870964996,0.4852037069456626,0.5200099677817466,0.4947257277689815,0.7444142769768176,0.44598385192679973,0.46904250029498157,0.6054454606185601,0.40282974143604494,0.3704458089607209,0.3569139429582994,0.3915665461169923,0.3905757881978629,0.4288689960468082,0.5119787926678177,0.6706172104990271,0.48842822839413863,0.5296570195452919,0.4621056215875868,0.41252848902616207,0.4227133993147183,0.4104538024118613,0.3829312492679869,0.4090145230568358,0.4960405166747934,0.391589610166009,0.38776744170734695,0.43037470668819744,0.40525329747130334,0.4447423124792917,0.3971649994494119,0.5564977915646718,0.44950613632830805,0.4849152482280728,0.7427838820664798,0.5036617935340262,0.652436998049874,0.5101448329331889,0.7349570404311523,0.6371326885754691,0.5764629323080446,0.5136629776755006,0.41363098561815265,0.40474644610231114,0.38577165177430284,0.3820811065470791,0.38335924146038297,0.4095716995152667,0.4208486824629045,0.5012606969522818,0.9682388517656606,1.3950975208144116,1.1037672428564138,0.5629866283612427,0.4561328445751394,0.4351558502823105,0.3993698471136388,0.4831871987004019,0.40368099568790256,0.4261107083320559,0.4513838544316386,0.4253955937553875,0.48921741970398447,0.598679332093031,0.5395273947458278,0.6627028630911871,0.7777686788521035,0.7880741329813663,0.5629480004100026,0.46641579523212695,0.4495060521988819,0.44215242128190035,0.40527417052885983,0.45718755619275936,0.4574005551174039,0.6847962241828451,0.44992294461626364,0.48389084631869933,0.4563936114254721,0.4235688510829638,0.4203508062213856,0.43325955803971267,0.4741501626681987,0.5941619429118464,0.7426322223572699,1.085952131531404,1.7047023859927188,1.1079361784289983,1.1154036373624128,1.4233177564018626,0.9625598533437136,0.7532448864500062,0.4679770631435545,0.5144490587267126,0.7412115204870989,0.4367168519973865,0.43889445912872993,0.46717828543935946,0.43572811601764505,0.461056115298956,0.43138574203917157,0.44324984000311207,0.46897385960421606,0.465520702861408,0.526361023062667,0.4907145934618099,0.5191144078982965,0.5145622400486648,0.5776343613402055,0.6042470323074373,0.6142162161924254,0.7556552009900875,0.7286965308270671,0.75486536776925,0.8282184836713784,0.7846821594740355,0.6393779183441892,0.6245629318859082,0.6581604650535952,2.3076847554270814,0.977397892867584,1.4333164671966527,0.6153700494266785,0.6406743061959734,0.7088048731995032,0.6980998583933248,0.6729301988782374,0.5323340378969712,0.7549758433368305,0.6425855770563283,0.8351421719189224,0.600248156537641,0.8787556552962714,0.6309318648236008,0.6558162042876226,0.7662126004728838,0.4779052090991667,0.5283717973490606,0.5464865226638773,0.6264611924083334,0.7141327958083832,0.853813207879086,0.7325683450402929,0.6161302975012203,0.6234544303388164,0.7987742020101564,0.6359236778474308,0.5702797514126232,0.7419033601467816,0.8098698801676546,0.633253914310626,0.6708361805154116,0.7751989284274052,0.7344802442699062,0.6371967410265701,0.6683817885938383,0.6159387962208912,0.5810820871548614,0.5543369331829382,0.5321842187556761,0.5750557660137927,0.5365185885202542,0.5557163443016251,0.547319013280609,0.5893835114186285,0.5290746418333149,0.5344064831471101,0.6733073353320852,0.6515945052225611,0.5985699990836287,0.6625237326278973,0.9221412394881668,0.81452562383834,0.7731182241844032,0.8618002723618351,1.0663947190285563,1.1029897091757384,0.8336780720003869,0.7006408317867839,0.6691684350719745,0.9171210653014303,0.7343724482205399,0.7430321158148898,0.7266476112955867,0.5787727000886291,0.47849282564591583,0.4363824347340857,0.4164211826339307,0.4281432521260281,0.4019980271052238,0.44682593129513887,0.7832969444938795,0.39254744783670253,0.5310886429915355,0.5177684133226642,0.3991947597194262,0.5315399667228056,0.7293079236038243,0.5762489005385745,0.8527627957752177,1.2556672841687513,1.862370467644688],[0.5006016423554214,0.3981258181267457,0.5477486067470452,0.5201847477139933,0.3914863966068956,0.3339461803894531,0.2666231030483938,0.412093860895242,0.32531917078443784,0.31261626114318897,0.41036614810480976,0.5773942129129062,0.4208142205541015,0.4064185193496405,0.5508442999632707,0.506389906553893,0.46021915002646785,0.4788800243417727,0.5024521147482777,0.49801822045565325,0.5087009616075614,0.5961287579898781,0.6323195560827933,0.6488393690271358,0.6556933621964217,0.5072818073542789,0.4563046498234447,0.4419420022523577,0.45778598166662976,0.4758270685166286,0.5488404014812636,0.5550676104635751,0.6499049980714119,0.6259445894259476,0.5601128742440498,0.5133943493903463,0.5083984161300547,0.47916480275377943,0.4428142048923477,0.453206317340523,0.6766759254224839,0.5444523656537955,0.5136811957537107,0.7313439431814465,1.2689287800503108,1.7704730596683897,1.8958413250200852,0.9651478335915673,2.4394022885119595,2.356214551241286,1.7441326217669861,2.4159023035791236,2.638330922844406,2.761891896898645,1.6167133764146653,1.1096818506023771,1.8290504727588084,0.9593911620264782,1.5045805510297063,1.0160097928593712,0.793274949292307,0.6984545473625724,0.5749408180275234,0.8070344775391607,0.5400893021968618,0.5568400913134003,0.6837648099176268,0.6190595946867526,0.7128053242593414,0.7484874343604335,0.8696540701646909,1.230236340201732,1.1112128661591865,0.7866265276283937,0.6281675877864799,1.1039208309979942,0.5342645885453452,0.6234503332261647,0.5577626156406222,0.5326145013843916,0.5526880834231211,0.6337138338828806,1.335675450152437,0.6429415053740802,0.5045698795490429,0.4898264419393654,0.48652688661325133,0.5766215658575263,0.5016789611113357,0.639445347294311,0.5832311910649516,0.7491089914117658,0.6369355193291896,0.6316187750823823,0.6009163647049113,0.6720456329139876,0.7161013080121577,0.6287739585416521,0.6082755400463641,0.7170074350977049,0.5492496746171112,0.6030393444931935,0.5428232721710745,0.5350146528242095,0.5405784570588893,0.4979372531682637,0.7834157325043583,0.47546777909232196,0.5027439328112974,0.5943905565189237,0.4033090473571919,0.36198333427969126,0.34420847662175,0.3577476979181533,0.357743086887402,0.3574171145361702,0.5129027052882487,0.644988114992222,0.38822970127956213,0.4940323161107902,0.39573408255328585,0.3596159449063159,0.3223697328517455,0.30517060882398733,0.303127554230915,0.3675303111369201,0.5059526861076823,0.34038636293822033,0.36469301496986717,0.40751999333358274,0.4019523875383249,0.4608666131411572,0.3774468265937386,0.543244744034594,0.3979319436744891,0.41744540494128535,0.7114588978976135,0.460019007971937,0.6031989398234096,0.44931328825279443,0.6235985478053374,0.4942437493165635,0.4666086677470296,0.4368305247700747,0.3810540939336836,0.39508061570734937,0.3529005298327688,0.3883959074819545,0.36929550988447096,0.4021854090884303,0.43259835560722915,0.4935173921495323,1.0364108389197595,1.3632962151401744,0.9932994385434223,0.6053986900031023,0.5174694070550816,0.48111491429726727,0.4490499174467756,0.5264872357843458,0.37161621116474264,0.41442061646338463,0.3892939006990837,0.37508481402336563,0.4470214209315004,0.5085022356122392,0.4840522961298489,0.6178364929683985,0.7409102298949093,0.7511141512161816,0.5117177960002407,0.4109990149342062,0.40028145272723253,0.4058794154902198,0.40135999399647326,0.4969406847553837,0.5088356064276276,0.8124135870962808,0.48991793361490166,0.5181507095084711,0.42805774875898034,0.4114793375644587,0.40568475518166786,0.43124943907862073,0.45509631902992836,0.56532634467393,0.70072863890253,0.9712226303270151,1.6913408551700204,1.1192328549666104,1.0417772349014776,1.2674338491296275,0.859789945425384,0.6970394080722822,0.4552093335055234,0.5282017874804157,0.7660308987957578,0.48001903170800964,0.4704461506841962,0.48128376433624054,0.5129355768041948,0.5421276655873458,0.48479095264997035,0.5170313440951078,0.5763765576816005,0.5571089528120785,0.5956055206131364,0.6061685143903908,0.630251864227677,0.6402862501859536,0.7202289624703767,0.7374284832314694,0.7357915553071694,0.8945260463160127,0.8701097566408184,0.8658267504470397,0.9236360819890048,0.8921268851902108,0.7584630532747659,0.7589213245116682,0.7734568265363878,2.4646457281715666,1.0505948936288838,1.4568837827537982,0.7140374798034472,0.7433833853386588,0.8130327106207103,0.7950955580647406,0.7730334671655694,0.6173640614782322,0.8346527675672977,0.6935992200527789,0.8846341868704405,0.6731736292445784,0.925197871291872,0.660490784614104,0.7006686401278868,0.752807010210045,0.5373685501516317,0.5660182701816727,0.6063656047959624,0.7080306172354557,0.7785976078843356,0.938834524671971,0.8103406906734196,0.7114305355301046,0.7317082460406579,0.8653130496425079,0.7205060352262062,0.6677701510299664,0.8306377239779141,0.8818353936693618,0.7263572414777749,0.7703376101297319,0.8607470617956993,0.8091504661743383,0.7377941488746593,0.7604387437692437,0.7263912220680822,0.6907525495446307,0.6652600035986714,0.6500352333428805,0.6942275708693892,0.6504108491256855,0.6580766387955134,0.6646293100323456,0.6997862301073002,0.6193292296413044,0.6315132202148095,0.7685020228748667,0.7429049977397565,0.6651920639895803,0.7466386024339086,0.9771613091899218,0.854349895357232,0.8228604255892091,0.9097408504224292,1.1039363216458555,1.156139432196006,0.9150142193948183,0.799081343403765,0.8006445394004247,1.0122705961059517,0.8229618379782558,0.8145036092685534,0.7779980450371256,0.6332482790325585,0.4990276880613708,0.456569077889386,0.4000173331804894,0.44875298186071005,0.45260994399190213,0.5077463261961289,0.714691392697246,0.43123239500920985,0.63399031734088,0.5421595989264231,0.4156846405964006,0.6047132433904145,0.7685207642976382,0.6434562443401654,0.7272377337331757,0.8464428151255596,1.417739113772836],[0.6309064230770902,0.5700055567330953,0.7043773637052542,0.6252811173723016,0.48083500935382567,0.42609753310276494,0.3713680364101441,0.5226784651345738,0.40917970515086266,0.39925732496933364,0.5572360444611624,0.737314244726872,0.5966968359125334,0.5204386724996606,0.7353447640889144,0.6938923180021765,0.6213713405156623,0.6916108100909738,0.6794053213280042,0.7022799593364275,0.7192168283448851,0.7662654976809318,0.8155331222361497,0.8111497187930701,0.7485655605125296,0.6478935293099799,0.6274343978079262,0.6009210657361862,0.6657709641678228,0.7125945583777947,0.798199918198093,0.7747915121461882,0.8969533509833401,0.8841669769652498,0.8136568277021504,0.7699107792498611,0.7499920701431595,0.7140521123381829,0.6344052113322556,0.6561818942369101,0.7993665713578648,0.7402905721871426,0.706871171178327,0.8457419675263119,1.3545571270289614,1.7847658328544318,2.004683563763944,0.9794469107721686,2.422335648578515,2.176758664397588,1.7339160048449995,2.3302147465374317,2.652616603902925,2.7773463819999082,1.786630270140152,1.2431713144061933,1.8553039533993996,1.2001424104201923,1.5861473937873023,1.0776610234924242,0.9604245253589456,0.9099891051238039,0.8355821185634761,1.053872595762554,0.7494061797672729,0.7723676988964466,0.8768090344625354,0.8477122618176852,0.8946453142216619,0.9169815180477607,1.041049555666381,1.4540323911742326,1.279900104323227,1.0317072654225152,0.8283216446881013,1.2420193440967249,0.7874828325237706,0.8956531245894752,0.8340550106999316,0.7974465365873348,0.82764364975471,0.8473440321883183,1.4735308783230583,0.863136809154509,0.6939789922823892,0.7078607107952515,0.7253269797028442,0.8032660944603287,0.7552488740020588,0.8933006354026567,0.845004865594068,0.9608954732719825,0.8844390765927216,0.8832455725079941,0.8433683359844533,0.9147165892647229,0.9384997309057601,0.8568813652537148,0.8326389413289085,0.9528862274856573,0.806930167922505,0.8496063648066847,0.7946898424459102,0.7643053640013993,0.7530862016996543,0.7141332042767244,0.9796299963777033,0.6899674988921249,0.6865565852268737,0.7910852612089815,0.5810941117335442,0.5340574758299107,0.4888543387082173,0.46787498977557584,0.4813812313560844,0.4503686078071428,0.5973573796056258,0.6653703771732067,0.5230341481242334,0.638656392474573,0.49894448451859247,0.4655654598306321,0.3908112043375153,0.3705858458224113,0.37712492636168526,0.42432129274956665,0.5405438547316417,0.4788667401524582,0.5003071823563596,0.5816538015133391,0.5546507237215397,0.6308240583372657,0.5452688079533495,0.7171205332210142,0.5515107767435378,0.5445727997705619,0.7765861726459186,0.5101638172930905,0.6210561728845765,0.47672693432312796,0.6537017902350365,0.5728871801259868,0.573096282633034,0.5280757776489902,0.5294002634557833,0.5775741167868433,0.5049058974288906,0.5711238608542837,0.565615004267193,0.5849683629641114,0.6442955695963711,0.694133596081035,1.215956212588228,1.5048659564284443,1.1786825869222286,0.8704009966438121,0.747715197078383,0.7352395776701337,0.6797592311244082,0.7237911905457425,0.5513715838901339,0.6039631077050023,0.48906645708026997,0.5361137980390531,0.5460693449251989,0.533557446380695,0.5527031329839727,0.6379279953803653,0.7764501416425575,0.7770669997602123,0.5817927952435435,0.4991550781140945,0.5360026172234386,0.5929159796505258,0.6170386464077988,0.7097540384602179,0.7220678894756783,1.0244226761365525,0.7263143815039091,0.7207124165164159,0.645414039896564,0.6378776862568725,0.6185952901711408,0.5971694518279029,0.5984976262202869,0.7235608651758807,0.8458713040399678,1.139841833529066,1.5779863020768161,1.0891013520011614,1.1140009429315914,1.3997585425470818,0.9280946242193423,0.7625867188659637,0.5870266970133373,0.6421240666002876,0.8691943425226474,0.6149476727940737,0.6120903218214124,0.6344766828131817,0.7005099330843974,0.7333872694165314,0.6532445978051785,0.6918946337762176,0.7855584015652449,0.7516263056299034,0.7495750131721711,0.8173234215455378,0.8720765956316624,0.8614308009791013,0.9564593799756671,1.015102505370819,1.0044083795942165,1.126063374893754,1.1458949473596676,1.10547287482524,1.1762135941569047,1.1192362573360075,0.9920664664832342,1.038708630306786,1.0326662176077879,2.655070879540304,1.2355199149674683,1.6057246357797117,0.9397264999219972,0.9594918364834107,0.999979272458532,0.9961876009691746,0.954448015200644,0.8353483980100432,0.9828296893103824,0.8968396970824265,1.05658409129411,0.8471925703324882,1.0729326205408907,0.7891122633831417,0.8223706487882435,0.8395225650007807,0.6897256835456035,0.7360116019964618,0.7943590575957262,0.9109553524740692,0.9650731350323988,1.167415471944492,1.0335380393503995,0.8868432830369619,0.9623822906216036,1.1058856977086946,0.9386700383767361,0.880924601054974,1.0403401608742293,1.056214468504739,0.9237130625361328,1.0188944981294255,1.112152956806486,1.0471161566510638,1.0273903895819143,1.064774831281672,1.0108961723112009,0.9667422030504247,0.9149866148565853,0.910801896258912,0.9719257829873081,0.8968893479342648,0.8962686740807356,0.9145854073082224,0.9387473438004216,0.8235511068252092,0.8488332609217477,0.9646472303132341,0.9290283599919488,0.8361269590295165,0.9212047085266545,1.1285909791707438,1.0111766377427596,0.9783051151008317,1.0668873822421232,1.2425203486335703,1.310056712272532,1.099964612292178,0.9830147925176734,0.9790150406800766,1.1609115119367968,0.9657418890819512,0.9565320039795027,0.8872633956374257,0.7646922153502272,0.6183559928953547,0.5934612775231684,0.5188151529562773,0.5836581016113015,0.6536199399411152,0.7491883297444454,0.8539620665800359,0.6061229255982113,0.8546217212145579,0.8111341898290643,0.5554521114284182,0.7551596886576544,1.0487635509509112,0.9127316715989138,1.0617807218626012,1.3174603809007612,2.088625062348272],[0.5393900379113865,0.39937651842521604,0.4645008301484696,0.44919358900474593,0.37589202095631663,0.3790458069526196,0.29817982652464764,0.370382879957375,0.3522201473732292,0.39731579305905174,0.5100783170706209,0.6210459309942681,0.5129626122383029,0.49892917605344733,0.6583160072560141,0.612314638872768,0.5586331090254423,0.6239544718120703,0.6534126748012239,0.6455845844077933,0.6906422447151237,0.7430309435961994,0.7894404400397602,0.8122137683310244,0.6969611215611238,0.6222701582565022,0.5752830785837384,0.5422294932914165,0.5763125539908878,0.5841528586150819,0.6916478026329902,0.6482589978571637,0.7620820618660864,0.7382870680226826,0.6629806916907874,0.6378851498836995,0.5979116202940828,0.5859698549055777,0.5431871923447414,0.5301488228610309,0.700372321270974,0.6680482403656947,0.6414898994144431,0.6902874605311886,1.3273257229418904,1.6761666726462614,2.0414683696395732,0.851540479498573,2.2935160225072395,1.972403118458125,1.7202757175979615,2.2997990751195627,2.6230243740661217,2.699698089814712,1.7549423365979155,1.1555718297911894,1.8800359114762761,1.1592761986142992,1.397059702040807,1.0380391052750297,0.9369415693867005,0.8134291061452595,0.7207494226252172,1.0032421792921045,0.7036859973980263,0.6996337208612968,0.8891100588286733,0.8101167559439496,0.9112141292972716,0.8844207288139735,1.0340892670009174,1.391580956309543,1.2249071955610737,1.0058697750084078,0.7682623197055919,1.2654514781513755,0.6896668369983051,0.7558146214226974,0.6868504890019433,0.6653640083596947,0.66085142753797,0.7138534187916441,1.327871362675146,0.7147819303756116,0.6086548408355864,0.5620373544383003,0.5989718382253464,0.6653450357883188,0.6330286129303218,0.7545322110832082,0.7379896613669424,0.8854765079237866,0.7690931475910984,0.7574492261186873,0.7230843912213417,0.7977978632703465,0.8576721870835895,0.7202871514961355,0.6781502136930597,0.7912079609608629,0.6476725970742523,0.6825975491202172,0.6002037063260289,0.5958719607613281,0.6482879204919512,0.5529104397430944,0.7928011078993166,0.505319937397332,0.5082950593112662,0.6515477126726481,0.4369309630627918,0.396423762851565,0.3587816226965996,0.39154159490039236,0.44620962297702343,0.43915760548261756,0.5519139246601146,0.6991016684749972,0.5861802800765596,0.6498280739259058,0.5340927503861139,0.49753555290799534,0.4622959420150277,0.3993242161714827,0.3694916760408075,0.36233273733793514,0.4292157859483303,0.37161300004467174,0.36711416873321245,0.4436023337425676,0.3861711340870456,0.45025176198130973,0.39913332371187743,0.5639745366222539,0.43668123142717885,0.4561331402054384,0.7110214103544413,0.46131823059220506,0.6425522270856474,0.4841515513767479,0.7231352600102668,0.6154713600598277,0.5690798021306053,0.5127434622803912,0.4759363392852532,0.5086837493546686,0.4417930339621804,0.45556119552919516,0.44020724524404453,0.45781729520949693,0.4838431244100812,0.5735266283877953,1.0718842315304442,1.51569704572342,1.1594851666699857,0.6918843183983101,0.5939455192944773,0.546793372643126,0.5232261614665722,0.5119739881941411,0.4491042007322367,0.5019526134325395,0.4617234661445629,0.4582823155724586,0.49484500723403657,0.5179596986588905,0.5164389323256523,0.6321692825163155,0.7294691458939482,0.7776882133920934,0.5315622348147191,0.437484983189608,0.4386308719200615,0.4631727203533829,0.4723523062898078,0.5377118592207681,0.5626786937482586,0.7833639952272512,0.5486354166063364,0.5827181914647185,0.4686991363634443,0.4522017173484109,0.4403733439063373,0.44544455017039813,0.4844899641615082,0.628674107020664,0.7651220911047129,1.13471664889387,1.5973726142217504,1.0812254829463885,1.1379685344867947,1.4549028445720291,0.9541010741844853,0.7313153615942208,0.4604676207727068,0.47762631818589274,0.7439436534011419,0.4207163416406,0.4085142834806199,0.45610234365781366,0.49261896567884417,0.5502009225675963,0.4655265038256873,0.47646771760385753,0.5751606441264695,0.5587830567501364,0.5319216019938964,0.5702217133804132,0.6653692701547861,0.6159671958257866,0.6761101911822479,0.7437218370403053,0.7552416572112679,0.8349170298675788,0.848080510393574,0.8204005132760792,0.9262786144743352,0.8360014347561523,0.7172027290857724,0.7534054501139866,0.7638515794505536,2.518956543303017,1.0416326496389772,1.4867961391613786,0.7573727148990599,0.8036064147905202,0.8497360185616031,0.8678719907287035,0.7902336836046571,0.6081119348410959,0.8109693985482412,0.6949432254333303,0.8499503693897464,0.6258809324054343,0.9420103949927681,0.5907449778474524,0.6532948946256015,0.7294286622485731,0.4961960533878899,0.5520198116151392,0.6360260626916244,0.7287810161893391,0.8209644409253481,1.0208596208415512,0.8861447184188787,0.7399328122453677,0.815814583382867,0.9781074397470696,0.7762164884215438,0.7449472843569057,0.9371393127471622,0.9738404647935632,0.7904798560421632,0.8750718304103396,0.9959525764990933,0.9100718566988291,0.8294656852884126,0.8852709649741829,0.8062903374640021,0.7863921247375589,0.7331657159528571,0.7207928340967465,0.7533636209893776,0.6689150762434999,0.6765841133244178,0.6664108719399288,0.6861484640836373,0.5823304497818999,0.6176382610836999,0.7281254736119265,0.6898234706900538,0.6064074758395682,0.6883579903384436,0.93221173272325,0.8054865726974777,0.7696792990063205,0.857938437067489,1.0799304799739022,1.1140090326590633,0.8484994284902951,0.7254638611879228,0.710704537301882,0.927613636173989,0.7296887330156047,0.7289348569290574,0.7171666187788509,0.5544443808971854,0.4372175321543684,0.40278086627127235,0.3732196640093146,0.41635071828660164,0.5104494057765342,0.6157725517682281,0.8645026637634299,0.4679011410629386,0.6822835504386087,0.7382001928182587,0.46169976069404733,0.6126437715064731,0.9740408161393866,0.8723362815276571,1.1875337965579076,1.4969372047586091,2.5297980970987006],[0.5530567522357017,0.42849607585541866,0.5598357606655742,0.491175017140776,0.4026050283915476,0.39517133519622083,0.2945615314304919,0.36694102004145634,0.33335148956877825,0.3640493641471974,0.48794646765008265,0.5963193235026593,0.4810446963257858,0.48115891594031507,0.6460152750309008,0.5716796313303925,0.5384775456093079,0.6008574374795125,0.6300958564836935,0.6185651964476186,0.6496713042872712,0.6970268566354435,0.7395674725028236,0.7600590542897773,0.7013633268958166,0.6107485175794686,0.568062767858001,0.542760453858572,0.5636021746490973,0.5609242526180327,0.6541361331664763,0.5932062583423896,0.6968404981832519,0.6808917590094886,0.6261225099853308,0.6100180172824174,0.5643965070641208,0.579186670533104,0.5151036523827482,0.5172820837334968,0.7277182290676505,0.6589247398919023,0.6143698138174324,0.7718188588392555,1.2998812193365625,1.709936539015178,1.9353928619661467,0.9055992703740252,2.416600027958888,2.1245071369052186,1.7213572603174403,2.33430218258671,2.6027204383425664,2.730272149315873,1.7119215130917578,1.1454384571003804,1.842945669123825,1.1087897580638983,1.4744498329821658,1.0216504772073811,0.8698169024362629,0.7927604844639551,0.6859793417726745,0.9512669110176818,0.6471805185072654,0.6664513793858287,0.8059299179413569,0.7510794006272189,0.8166604609506627,0.8495773298783764,0.9730866511734556,1.4167553010974834,1.231456666662089,0.9248707723603075,0.7287951077358896,1.1729758724971544,0.6448302580378455,0.7049769914569411,0.6468110949546608,0.6258079791525464,0.6323990459131781,0.6944407368303479,1.3532924189473041,0.6984107831547821,0.5772976549213821,0.5482959649344376,0.5719961774156588,0.6242486756338809,0.596964260737112,0.6952300252261467,0.6777599222593692,0.8203238422082065,0.7184732719928804,0.6927351586248438,0.6791466348351768,0.7512304366832514,0.7904825029923231,0.6705714201648278,0.6376934302488068,0.7366522468664386,0.5828467222941985,0.6266121714933742,0.5556391391361231,0.5653085050747917,0.6251486202171068,0.5575223933534398,0.8162967336406842,0.5371167383026593,0.5412409758411796,0.6755936741183415,0.4668002243387293,0.39075108110512685,0.3558476894871677,0.3797143172816634,0.4270491664650147,0.4257908520619441,0.5678940620876918,0.651643682620465,0.5065457863378579,0.6124527157449294,0.5055395780582036,0.4658709404176195,0.41631601521647404,0.3745012597127986,0.346513339008191,0.3469261768225914,0.4525421999801465,0.37626052889693856,0.3928468883507352,0.4609062318382294,0.4262915152445331,0.4988661883798005,0.41795694038660425,0.5762544253338312,0.4288778371515263,0.4333361702070765,0.6943955109427201,0.45889074211189396,0.6221077392412363,0.44984571663386164,0.6745339761761583,0.5365322369470502,0.5416426431148282,0.4829773207597688,0.4492987458079892,0.4834227998448929,0.4156806686827497,0.4359863216357046,0.41467477307999273,0.44106746385472895,0.4698646526455479,0.5477972503642659,1.0575538679894194,1.470345150712292,1.1250524148095151,0.6402859598428527,0.5439843116019715,0.5129381403954898,0.47546103358504493,0.5265753096200462,0.41563285253354254,0.46721058617720684,0.40648621121948286,0.4193420583084469,0.4693096863363719,0.48503658841387853,0.483652132034651,0.5750113217484054,0.6825450679744244,0.7262455722842456,0.5021361676697811,0.41647387852959733,0.41985184497749856,0.44385526616333637,0.45276137832892255,0.5246885133329409,0.5419528129843595,0.8019151399141449,0.5387073574612914,0.5591852006310403,0.4567792529743354,0.44651098035675896,0.44536824201244746,0.4530350225238087,0.47705825889601133,0.6123700571323227,0.7409740839815423,1.0927442242588907,1.543767673534972,1.0238331533989031,1.0968258560617186,1.4169592698849771,0.9114565695826435,0.700748015048272,0.4637517578282615,0.5058295851947505,0.7821187125457055,0.47980903872211594,0.4702313789490141,0.522419800380403,0.5824862358346523,0.6340463329426617,0.5432595964879957,0.5687075236704295,0.6719892367706501,0.6543888657149916,0.6094993998094036,0.6575233704694886,0.7607532776927531,0.7057944013634632,0.7467701205345949,0.8139758708001535,0.8435761311276224,0.8979160218161213,0.8785662033654648,0.8553538701800665,0.9648621919331449,0.8658306754726429,0.7642173104823924,0.8111683780059563,0.814617626238967,2.5940056145484447,1.0652725250565964,1.5202265175639336,0.8369525637975941,0.8771312320429869,0.9137798590210554,0.9474031211511604,0.8561372326563195,0.6913334588801581,0.856571399822915,0.7680904569888153,0.8984858500313448,0.6961794763379444,1.0172101382514154,0.6381959860398098,0.7060562641765483,0.7679082693283914,0.5689570738460732,0.6190238025644602,0.7237043661015832,0.7971668043204885,0.8742257528430487,1.0608290561633351,0.9316593815770209,0.8083187315634344,0.8885525434390773,1.0254753496497289,0.8353840403256283,0.8399184987666468,1.016743325026065,1.0503479987423359,0.885665108474205,0.9584778778806041,1.059702636241885,0.9941398561750973,0.9110790859925321,0.9619271752058357,0.8899181236974603,0.8725016325620625,0.8142285479940493,0.806075397325619,0.8312974616691529,0.7610337571771054,0.7577184433926398,0.7426090752973614,0.753195824418103,0.6643115091938054,0.7109246891613543,0.7853237465128983,0.7387845662409934,0.6688621001220231,0.7426672247794449,0.9258618978700424,0.8250158507703989,0.7780580248157438,0.8519297747522249,1.1000080370456002,1.0656055446853334,0.8449084897039915,0.7659077930435664,0.7680132470541265,0.9429422807723166,0.7413946146991696,0.7170762359200704,0.7242074160722892,0.5925395513999977,0.4840033849680988,0.46126829921691836,0.4168484901343019,0.49435716419453485,0.5949045147509023,0.7170096579777107,0.9145952827949718,0.5501869077855374,0.7863810618665468,0.8634078415218149,0.5378528243294475,0.714146389796216,1.1330662133258889,1.0040969970529392,1.2866950916712236,1.5229654392947958,2.4401492089426986],[0.5730199470403579,0.43943228436484694,0.4737503556356476,0.4654484210184661,0.3732288079015574,0.37393426675251623,0.25253028546444034,0.2984005319591155,0.26828298154864066,0.31099757079128837,0.4269209940734587,0.5425270067337786,0.4169587505833305,0.4307532817847475,0.5649844000523037,0.5056609262904539,0.4718037637932589,0.5212523002330629,0.554559563462879,0.5395801367233679,0.5714333155793216,0.6364130541276386,0.6840917091131694,0.7072984498276502,0.6537499511189525,0.545894229479559,0.49487735993204235,0.46819091015180453,0.49043851736542926,0.4852840324722112,0.5469761260118512,0.5056240622602691,0.5854081357199636,0.56172697856884,0.5178559085241213,0.513255515578501,0.4852957935614255,0.4799385969550429,0.4458505165142697,0.4386490573585033,0.6603254179205629,0.5843333496068279,0.5478042132735429,0.6610994693307891,1.267015828649742,1.664475622393853,1.9424160491499938,0.8419382239179273,2.3131230430459393,2.045497801278843,1.6671002609498407,2.269879324851871,2.57520066377249,2.6831976262787864,1.6348814494995931,1.0795495148963543,1.8442342331163404,1.0179778049822774,1.4106566808614196,1.0173695540818184,0.8504225365001121,0.6973026444941781,0.5787188107687811,0.835718601560077,0.5798789476966324,0.584258619374599,0.7356400692977986,0.6742505250242656,0.7561120161314027,0.7872185906290532,0.9023325816529557,1.295911895592394,1.1356210158363786,0.8305355129445474,0.6265006015750476,1.0869075303375637,0.5360130701010244,0.5840808515038645,0.5406697582442161,0.5411608614697019,0.5426825544195509,0.591164750262402,1.293392887150573,0.6138970707987224,0.5112132369697299,0.467305526230555,0.47778343823924835,0.5545557430221392,0.5059592569277779,0.6081481628316955,0.5764417931272321,0.7093600754467981,0.6065709794413109,0.5624809036708668,0.561607209982967,0.6181306977067746,0.6847037417733773,0.5658688479951489,0.540367117154535,0.6876522703723273,0.5126445124632308,0.5966084480294134,0.5101311488592579,0.5420943340256971,0.5697581068459726,0.5088520386397155,0.7325638141652262,0.4347312616855421,0.4470636613172219,0.6086521533605733,0.38801524140052623,0.3173673553061924,0.2829025705093793,0.33416262223840426,0.37731804743378755,0.3851458103711097,0.5158667329913602,0.6506100854952566,0.4579639071271803,0.5585169446339887,0.44290196451656294,0.40936112972766103,0.38058790290849376,0.33381563041695794,0.3075928742136716,0.29817717471604177,0.3942157231586055,0.32795729109096783,0.32067210124992657,0.39118432594668323,0.3329400573663242,0.4009748428137595,0.3444884136626809,0.538593196038406,0.3882758849543704,0.40381508307473757,0.6734121145586184,0.43858503832525736,0.6196886786029503,0.43774840225354045,0.6628294546161936,0.524416777203312,0.505637477688502,0.46099305774715527,0.3997880280641204,0.42028546492440844,0.3644957862405233,0.37635484683801185,0.36021666507782535,0.38701201056532825,0.4339104303748477,0.5445851472728324,0.960125286680523,1.3877354371720536,1.165876560396941,0.5972499919576865,0.48742118758565084,0.4742672355082537,0.42766223411898546,0.46030206451818634,0.37570348439339113,0.41733708092209476,0.3806185403641532,0.3792014089031218,0.4377392375868224,0.46448422907218584,0.4597908298374994,0.5667151146345792,0.6671399091511362,0.7123445868836958,0.4745290398926615,0.3949121950863363,0.38710577982633043,0.40761857466474377,0.39032310777136714,0.46556205462608125,0.47207850712738164,0.7101793895386487,0.4663005614764827,0.4903936949089686,0.42370657813572415,0.40209868163248497,0.39223593379172134,0.39742030899516534,0.4236500902398978,0.567843636950312,0.7218635062769155,1.0981873067463357,1.5769821186673039,1.0557570299616608,1.1236446445297423,1.4623979202000268,0.9369007781780897,0.6989155492083924,0.41429846520453867,0.4563414765177632,0.7401677114159685,0.3856783948943254,0.3855304924847706,0.4227321426581368,0.45271615786969793,0.5030970314627692,0.4359454386132791,0.45793006248013995,0.5274206546929794,0.5260174858296437,0.5424166717032975,0.5287537466044113,0.5992936721099422,0.5749550533849727,0.6162492163414706,0.6498045958245372,0.6890174846622955,0.795830824520296,0.7434970547130986,0.7517094607129028,0.8499545457072597,0.7532312133854636,0.6335218874089728,0.644776708016724,0.6517193479242405,2.4591554293656417,0.9294862033125282,1.411003025488166,0.6758330783296178,0.7381017572623009,0.7832080990988223,0.8017819636978694,0.70983293684627,0.5437736516701551,0.7634404538834553,0.6604293352235738,0.7817402161627729,0.5745425481338989,0.9390881538623708,0.549366337884121,0.632512045039634,0.7432800018084007,0.4711801979094352,0.5228625646425514,0.6118826807802118,0.6889473772948447,0.78542685822583,0.9270926744293085,0.8218211673798401,0.6951861419076756,0.7176585063048246,0.8746229854331506,0.7087948456225108,0.689454636220859,0.8352142555463916,0.8858053339716498,0.7369132557793916,0.7789147631071519,0.8724853854108394,0.8281201154458063,0.7300918343552684,0.7635620792172575,0.699845399741944,0.6815533417883187,0.6375928340757699,0.6213609336920296,0.6384393402458248,0.5942518342685662,0.5935254840366773,0.5651050912039126,0.5922811483891199,0.5174942042790049,0.5365834260289445,0.6421926067965008,0.6231140149012228,0.5754146054054355,0.6375676137983359,0.8373600852940466,0.7474396483778487,0.7074565269427737,0.8167207975078061,1.072997164084419,0.9821345479176238,0.7680401796335711,0.6753366999687287,0.6756127277333169,0.8798668544314159,0.6822315088409286,0.6566496548183607,0.682412342669914,0.5271319113543287,0.42960382371958156,0.39185662613286953,0.36288738512124397,0.4277397419832356,0.48577836963862353,0.591371521209616,0.8896156425419912,0.4612373216700558,0.640909359246669,0.7388077917238671,0.4821394490523508,0.631889696581091,0.9888506776914261,0.8552486610560537,1.1274884476978797,1.8282906552612763,2.480869591166062],[0.6030556185936402,0.3921649789716098,0.485537353604155,0.4982621209306454,0.4480188240495134,0.38412365672418486,0.23999124303053412,0.33506855054807777,0.2887342627201956,0.3013894499741186,0.37002222748763414,0.5205148054636012,0.37532033195921477,0.3819526315853388,0.4859518362794015,0.4478399713247282,0.4275759830578701,0.42452422665816375,0.4297175629350699,0.4375608170649775,0.45011140521731363,0.5463479851989101,0.5622730408656299,0.5872101917530892,0.6025790834319675,0.43367822240585696,0.4043672237008368,0.37355239554183023,0.40064462863028477,0.41305056321882005,0.45878490221815765,0.46707175992071936,0.5273741064731117,0.500183684266415,0.46263628137072327,0.43966309082031557,0.4450612238650418,0.4079896483218039,0.4000425023710342,0.43602597039441277,0.6618589283101661,0.48826208106979174,0.48822486600121523,0.6779033971888809,1.2287020727771418,1.7093481050157722,1.8160674316807746,0.9403874566855595,2.4501757977815433,2.3774476714566,1.8376801599149866,2.4911269713423723,2.746511905026926,2.8843345487590177,1.6300624259338266,1.1380338682650621,1.953583245598052,0.970397292558529,1.3752059100277585,1.0691133721748596,0.7922179526006803,0.680077009362407,0.5116158929936491,0.7143183795538884,0.49985289929525833,0.5104616253504302,0.5951289981345055,0.5436657172747289,0.6275354585212201,0.6929743377416426,0.80462128761537,1.16590576928141,1.0485466842758897,0.6939194463751617,0.5513297302922848,1.0294430773233008,0.45103251651641907,0.5037414795737172,0.47121457514382864,0.4455495627966996,0.49100790756727286,0.5888545032540171,1.235620760183822,0.5999938237304528,0.543320259856052,0.4521723962740262,0.44183231620040575,0.5302537919192987,0.42769882430959927,0.561621934636456,0.4856043534538131,0.6743127940098187,0.5476724655296424,0.5177320830259943,0.5043924737969876,0.5448054893013778,0.5996346794409099,0.5152306374787665,0.4993695004243496,0.6270872513850239,0.476231990370558,0.5418028882613484,0.46882818050602587,0.49204846935007257,0.5322750277909118,0.5189621431219819,0.7745849083207086,0.4847149522053575,0.49955249669050783,0.607372864318666,0.4387478218300886,0.36499510156484444,0.3044362682272711,0.3330220888744299,0.32643169074618333,0.3182894050852299,0.4624871405780144,0.7015841697105776,0.3672705355661144,0.4728958239485419,0.36407479474042986,0.3471079493867497,0.2889437533716484,0.28241207973598936,0.28027600387906726,0.32423259468916926,0.45170207433109666,0.3799479768542792,0.3938868945578421,0.4155810725715216,0.4055494801689976,0.4418817286120308,0.4128205484511062,0.5510939450899306,0.471085957304965,0.502344033769067,0.7718545282934086,0.5046710036374448,0.6402836114142666,0.4451317221099988,0.5650489990177403,0.429657299494996,0.39828161093364833,0.39074357866296416,0.3625114873144827,0.374405473124059,0.3324047639537686,0.36134363878593423,0.35501547856732757,0.38438931895666595,0.4239262371502437,0.4741718121744276,0.8880927596454335,1.260665810561871,1.0173241407998563,0.5098670967834812,0.42935891547129856,0.4228398455620397,0.39485014795271905,0.45513214923377615,0.41435396572483496,0.4134916355459238,0.42779347337591944,0.4187019993847689,0.5069827989304871,0.5310388010365723,0.55009014205542,0.657800435574536,0.7717704104946536,0.7910869832418914,0.5824195509232525,0.4724518921719807,0.4615217652782626,0.4556974290975922,0.3940301386661699,0.42658359345648794,0.4451540202399763,0.716854916163465,0.4454494222085035,0.5139665236536495,0.4209155891641095,0.4128223108044795,0.4246722186937735,0.4545226654345968,0.48774127322789906,0.5657104364339259,0.6602686883278225,0.9652521873638213,1.6391418917747773,1.1334997028258924,1.084091683426887,1.3332661484511892,0.9201907096911114,0.7342785430167035,0.48227865427143923,0.5252556323183801,0.8182210901420218,0.45699931503980545,0.43497508363373105,0.45900351568770587,0.4760588241932457,0.5069859846776577,0.464024990052578,0.4781566530452697,0.5141496131957998,0.5096544205021608,0.5530163932975998,0.5139923214523315,0.5389503003271685,0.5338947886338892,0.5766893566383795,0.5740873616564179,0.6068627829467678,0.7470162544914876,0.6755223005949459,0.7114928837033874,0.7842289284639746,0.7262639618194632,0.6061605890636127,0.5882718826750966,0.6100488805684945,2.417441932572323,0.9056387786689031,1.4079912534810441,0.6377888394237109,0.6845266666629043,0.7412105758076218,0.7580233781693396,0.6896671254114581,0.5419164545858909,0.761484472342304,0.6587545811923621,0.8019710060746487,0.6070440233411134,0.9469041202619342,0.5891207356599591,0.669559420101561,0.7989949221512996,0.522424747106503,0.5548616008588102,0.5955768095732198,0.6586496243624718,0.738894220560335,0.8693395365868406,0.7511450728788248,0.6558172793636127,0.6512907967822984,0.777579536348872,0.6637591627529963,0.6244562552046338,0.7315945380016416,0.7869788357674061,0.6532673324866696,0.6685776963030936,0.7274537994627442,0.6957410828933209,0.6185837212645949,0.6340114160262944,0.6013296873374132,0.587863922024474,0.5697454460707928,0.5552379142016418,0.5635490473773149,0.5490282640499164,0.5661004528352711,0.5321037833199036,0.5661184048548635,0.5242436078246426,0.5387977340058042,0.635456236812355,0.6338876098005913,0.60422586833299,0.6562208195775759,0.843278353036358,0.7561254338128722,0.7286583721501791,0.8128713749850993,1.0888709714901563,0.9621244156251082,0.7664320031040609,0.6854483817713113,0.69138991882029,0.896989574515791,0.7106809704192948,0.6828396931393679,0.7124012236276036,0.5538839151376561,0.4753941140647469,0.43976737868148014,0.41360610146762145,0.46031493801529916,0.4866157197765332,0.5190021944413393,0.8092999682706101,0.4795819432544867,0.595801862193637,0.5908322111741282,0.4811676237292921,0.5940853721394754,0.7605433131334779,0.5139792418385499,0.6331575793180376,1.1735837742117026,1.2919661449940938],[0.6244893325849811,0.38371090705341376,0.34113213418454924,0.4175475746666818,0.3120122135622758,0.28014430723731065,0.17472013302062017,0.2597912367990159,0.26190193666720935,0.27018936798295384,0.31409362431380755,0.44489686727704175,0.32204919108521574,0.3666299373686187,0.4140979019530214,0.38788150064035537,0.3853683947474059,0.39074694720942377,0.41978778386778415,0.4157758333854374,0.4148410982471373,0.5248102575506023,0.547035485504369,0.6089460529127688,0.624725785615431,0.44490537022852766,0.37670423683442045,0.35126018856796276,0.3719942033887139,0.35878344935059886,0.3858735927668817,0.39154899029349777,0.4537982305623255,0.43402659736146915,0.392444197057131,0.3752910570118937,0.3744101081206361,0.349755512812063,0.32895193646982357,0.3629938958392259,0.615697176314639,0.4487320212819886,0.42230970191035644,0.6242812327851385,1.2450089250038663,1.7253463184763338,1.8781070679234477,0.9341319791748371,2.3944995987238635,2.341313303419405,1.7770983444364503,2.4322671086530745,2.635349642617355,2.749574212167857,1.5178341667973667,1.063022122809156,1.9320489332474826,0.8492269429627503,1.3623264692337542,1.1622807285570589,0.7942581375860845,0.6532211413791216,0.4715402354658586,0.6660061945103308,0.5002359768837054,0.5043029491244542,0.5640389256823255,0.4924464960424056,0.605671730895374,0.6974214351398427,0.7793872285989604,1.0703740740243226,0.9518883456586208,0.6481209432403213,0.5040922245617555,1.019920839310183,0.4072836877190624,0.4373972355376273,0.41313273293748415,0.4157865486099784,0.4267691333311937,0.5186892193799141,1.2149662508793555,0.4819692465906283,0.4719230452131004,0.37860870829306975,0.38366474782330934,0.4580442614240376,0.3697738274379596,0.5097720152933636,0.42584717695148605,0.6014530474714206,0.4797930953934772,0.4229820330729549,0.41715424865668355,0.4581798459575055,0.5149734492636571,0.4281413782215128,0.4064998886347494,0.5460349481721326,0.39172689794427085,0.4664553090881686,0.38315389271662775,0.4129465640657016,0.4485706198494643,0.4462834992542759,0.6517897847793691,0.3664738329815901,0.36242425417652585,0.5301377396099954,0.2916657628395131,0.26924943963456344,0.21852233944227478,0.25856018257878677,0.2726640647715405,0.2906491604495369,0.46164802198782645,0.6918782994672968,0.3382550938219064,0.44175310209254637,0.3615570963580688,0.32943944259603825,0.27464009347535473,0.2598395106211737,0.24049557495863483,0.2784807617060132,0.34712045332890273,0.25581798996106786,0.25483282759571907,0.32289934379887897,0.2658106491601436,0.31781082068133254,0.29196430191687056,0.45790281728028004,0.36205940584008905,0.4151442132351465,0.7125871933466886,0.43397175975054547,0.5986743018887798,0.3975178191990882,0.5721264090328418,0.4479680372102692,0.3920209460456175,0.3713687784451414,0.3032397858085644,0.3122665597035453,0.27541566578226967,0.29923900119644303,0.266681148647541,0.31209264244757984,0.3584730665666504,0.42347138223896036,0.7623774769683448,1.1626375511066085,1.003973508081091,0.42324766636287414,0.35149355952739464,0.35193679247478704,0.31910420719037985,0.3754311046109439,0.30190728383953264,0.3325208030006279,0.3537526270102651,0.3383246782216282,0.4130654651673448,0.4860541812815299,0.48020422251325984,0.6214098170204686,0.7369682423386708,0.7547733068669148,0.5031956673581197,0.39120876553981576,0.36902233653869526,0.36725334747421506,0.30034577692926,0.3663987924664587,0.39983661429748707,0.6240506488196761,0.37875414853651396,0.39948519164811175,0.3629453628651892,0.3273845192026836,0.3304069945146374,0.36829253321592736,0.420453746022248,0.5585406456529921,0.6780511394308487,0.9801657524835723,1.716938834901555,1.1140628064400449,1.1401022611156262,1.4263716853229076,0.9736175521605673,0.7384372234770032,0.40025708891860756,0.4184116436476555,0.6922767599559316,0.3007054834350176,0.3062724210423648,0.33448857382791564,0.3125687349731645,0.36669295320227896,0.31687439558486596,0.3314807335605621,0.36723985493847744,0.3825856211338717,0.4467858933887151,0.3988081172903386,0.4457793948856237,0.42296079535321723,0.45525782871872683,0.474420672502084,0.5203487592460138,0.6756252282925498,0.6014626820901692,0.650752942521631,0.7300041791459856,0.6434746206984255,0.5157778464242849,0.49239694560108477,0.5293654290114258,2.253627816328877,0.8596326884041857,1.3584864082377301,0.5760660387917292,0.5967366684295363,0.6543350618251244,0.6483266141183291,0.5810710373330964,0.4158000224995763,0.6705488035986895,0.569510906214555,0.700200146244231,0.4663613855384398,0.8410268239365869,0.5179446165829446,0.577489364432592,0.7246157555870264,0.38122485233552394,0.4111935036333679,0.4760935500342183,0.5689971232012095,0.6777688344048199,0.7537320993378518,0.6994726360367437,0.570913106966466,0.5365916295826074,0.6837596876872089,0.5677717016932257,0.5056145636747533,0.6195088682382359,0.7011248860270307,0.551055567695544,0.5589674427171846,0.6352795846019497,0.6284651683299336,0.5273935453891957,0.5296648647431413,0.5014969972665134,0.47563623679294215,0.4554120293127201,0.43869300449366755,0.4510148639282088,0.4310610390338937,0.44445822843140803,0.4186844253298489,0.4690067671700336,0.4046772660705257,0.41554155110306085,0.5418762740273931,0.5194342776165284,0.5068986897166179,0.5504043759337219,0.7829940100513476,0.693842887773238,0.6498755636909991,0.7800815755687169,1.0538140753681522,0.8887424080933137,0.6990794744837361,0.5949592577803732,0.570104577661285,0.8173970400659173,0.6233256628735098,0.6077663637465123,0.6292411958801009,0.44499711465852565,0.35813124991129036,0.31423060067060155,0.29554311436354835,0.31406841738270674,0.3132808127046931,0.34458276807831034,0.7532187468791232,0.3000357301772505,0.3682106864208563,0.3996908542117219,0.30930252200488784,0.4144974007365593,0.5698143545724218,0.43027993648308566,0.6519019011073685,1.326653341763233,1.478738035748037],[0.5711097208385805,0.3857958971492813,0.29668997185898066,0.296982793042793,0.2444707412123785,0.22767761956918098,0.1651466067099648,0.25116906294466457,0.32785334444805303,0.2420331632440031,0.25368210289916093,0.41183546754634487,0.28018258595612455,0.3879299949413845,0.37578303125569534,0.3348592980027522,0.3356825509040168,0.3404749443119394,0.3922875451470922,0.3821975613928772,0.39844416702862645,0.516458480957273,0.5661026529513415,0.6223405014452202,0.6490516060469567,0.4459365438495217,0.3643148916164804,0.31647267530049167,0.3340225313578794,0.3036919374510071,0.33067457015280044,0.3334143832388942,0.4028196947383851,0.3800417008911763,0.3234446255628004,0.3179000336060369,0.34054836238493513,0.33080420655397225,0.3003590163481561,0.34012924626575675,0.617361640439494,0.45343603907933777,0.43267066225106854,0.5925944614956434,1.2604812020590872,1.7143810271699078,1.9457451905661165,0.9219068032458506,2.3041607651954514,2.2848804724034504,1.7242627277490414,2.376454073353838,2.5305243681855014,2.5903606970398068,1.4569330600140746,1.0034180068992966,1.8945449910588255,0.7508101773302616,1.3728012289410487,1.2524855155788055,0.8124089261351422,0.6113176228629792,0.4117390608333758,0.5868963959194864,0.49016201140874793,0.4693625992035147,0.5386813972443131,0.43234369438601294,0.574388214362476,0.6683379678791813,0.7926207655759212,1.0218266709933648,0.8805353277198873,0.6451137701197295,0.47501157559632423,0.9615889199052281,0.3450214582202554,0.3518592637110454,0.34325088919841584,0.39730469075433195,0.36880470371028634,0.47077953664271993,1.1899287234505602,0.43837284587767805,0.47658236869096454,0.3498062482319433,0.3401123156971789,0.44438732401179865,0.31630317452208084,0.4586650085845117,0.3699593687296581,0.5557626240004679,0.43404854347910277,0.3487894591526116,0.35456446131991953,0.41348193597115285,0.44805160116393977,0.388142424423199,0.3672723009572283,0.49029860714135637,0.3409384997809091,0.4023506370073593,0.3270981241845256,0.3864324706474458,0.4562325535174382,0.4264754622910501,0.5596728469956691,0.35543755027256474,0.3108093760788579,0.5094733320392207,0.2479703057088962,0.26184896547507436,0.22714924079742377,0.2749917397359759,0.24482876549239407,0.27081112617936753,0.4503159830064206,0.6622633849041072,0.33234304320344366,0.385985041560458,0.3469935353623138,0.30645232512877496,0.2595346547724249,0.22701495264881993,0.2125012512700203,0.26415837020512567,0.24962961562567337,0.2189472371579423,0.21730797428033868,0.3073859630673332,0.23333798703594028,0.26725769301118985,0.28534522667931067,0.4343299439099277,0.33918071608994466,0.4011109520241116,0.6840832816584049,0.4095715163656245,0.5856090710376884,0.4035816342131989,0.5980755413175242,0.4748420942817626,0.39734807867816296,0.38526716919249493,0.2937922032104808,0.28187563010822636,0.25830323594570087,0.2894839819578796,0.2482386219380896,0.2920601769511936,0.33005436912287245,0.41430266991627845,0.667813811049308,1.0804933074771397,0.9867753270756826,0.3763955567249874,0.29663033556024115,0.297036427566318,0.27842346483756236,0.35455675034624906,0.28885981990493453,0.326090917203647,0.3460020185441729,0.3419243945392146,0.3951902209348279,0.4949634835429743,0.49282898845893414,0.6567419999908017,0.7631931101316998,0.777274373446663,0.4970120265368741,0.385420935423638,0.36308161408776624,0.3538410156839563,0.29385461088779696,0.34847981665836103,0.3718576118361052,0.52321249702397,0.35962449336188335,0.3667605608671338,0.36734182440837887,0.31716794049373626,0.31540390248687294,0.362033217853521,0.41625105436385745,0.5716679871330694,0.713474023506422,1.02206321200854,1.774036773992264,1.1152613844140093,1.2585923147928602,1.5926874442930434,1.1015583604387853,0.8106199977416514,0.4232511899498857,0.40751859954553654,0.6242861743679559,0.2705794819469965,0.30199772765347815,0.3279444064563175,0.285189157970081,0.33387707325332033,0.2945324360210191,0.29947409877134806,0.33364360984636576,0.3658594493446488,0.4184567346044463,0.37105933462335305,0.4199845845534515,0.40683117976095234,0.41340209303897313,0.4557223529246778,0.5122905007613895,0.6410290060384527,0.5804030102877603,0.6404081593541693,0.7014700618187697,0.5974866605115852,0.4737437341079492,0.4478976388171439,0.5230215792655522,2.084096329568429,0.8846326804948688,1.3376627258841975,0.5788659323543509,0.56417833628169,0.6292978662218192,0.6252588293321764,0.5191040227655929,0.3990064461927843,0.6556040477475781,0.5940576672735131,0.6646816949353883,0.4305850862958316,0.7992802771175331,0.5195838487131731,0.550905763653285,0.6763610240012676,0.33499191481141005,0.39273014883858137,0.47453813115545074,0.5657942714790423,0.6836307480974987,0.677874804225758,0.7059710865101478,0.5718355796021438,0.5155297784334384,0.6361767295608657,0.5277595650743788,0.46892547046475735,0.5668587461564689,0.6541373600309607,0.5157345558709359,0.5171141676738038,0.5949662887616867,0.6106364908551782,0.5086978957218161,0.5012566385247501,0.46805804861750644,0.43958807013782164,0.4244052397619835,0.40597050670730217,0.4151227329503548,0.3835682156560899,0.42195210789810433,0.39010673794660355,0.4348550354226294,0.38212417384445113,0.39117951190372496,0.5170613696195695,0.4811758716048569,0.48284034427247846,0.5193660913809746,0.7498951124469354,0.6715169568663615,0.598881915730054,0.7950374495740556,1.0815675249241299,0.8111510640631173,0.650814901301338,0.5504383799764413,0.5096497643495107,0.783144588729046,0.5630277927667765,0.5576699298802326,0.5946637772105479,0.414386640124538,0.3276000633997633,0.28342374437205325,0.2709561608146722,0.2856905672545534,0.2630709989695418,0.3015970812228265,0.741936273417371,0.2568525228223791,0.2995092849858822,0.3373462162521159,0.2663387319141691,0.33725044696423,0.4722276362030354,0.4211150188972955,0.6713217381690548,1.4428161273133309,1.6409064584989772],[0.5830110581987834,0.43424919259969624,0.29636058070539023,0.2749271463405507,0.27429459864868194,0.20345914182392189,0.22974378363491688,0.2729538483771788,0.34754843924419315,0.27084379118673385,0.29209723328358905,0.45484360408989505,0.30200355936620427,0.38566052791768324,0.3726902187077701,0.3352716737370891,0.34328063582961194,0.34445447079751623,0.4153381946994911,0.3865439768313088,0.4202807162689885,0.5065206937380182,0.6122598231585614,0.6697584148296605,0.710370330807607,0.4887504657017087,0.3688369802703782,0.3376155378137901,0.3335271870142266,0.29988995751197256,0.339972459849595,0.341982547893968,0.4250741955694735,0.39658053665168846,0.33344414734405525,0.31437995779432776,0.341837787414058,0.34804814843285853,0.2989765698235392,0.3432187672898668,0.599076909404744,0.42607368419800873,0.430114626578329,0.5886517458349467,1.2718054159562093,1.7180686064067465,1.9908799851016334,0.963606040741861,2.2596080864960246,2.4041604276536677,1.7910558092937243,2.464074859300731,2.5735213374716355,2.596242702474859,1.450570100374612,1.029489731692933,1.9438409454926269,0.7145592134971503,1.3504682688775174,1.3632999125515428,0.853016210666127,0.6225770173727254,0.42323064299993274,0.5913750563683947,0.5150484824071657,0.4788043370535064,0.5326107442395605,0.4195545548175636,0.5762429039393944,0.6792670939936399,0.7899488429409266,1.0187123771653255,0.8416569294308075,0.6754678302507792,0.480485069383845,0.9759186183014863,0.34614879418691225,0.3326434919018292,0.3447064883423586,0.39923698336913344,0.36446995502276175,0.4574746735405015,1.1254151389858982,0.42484634143067773,0.48499358731436426,0.35196321247320733,0.3488323936694601,0.4568938521282407,0.32017182278083134,0.44569555302230857,0.36931951766793414,0.5710517837644475,0.4418913802381639,0.3609557845870627,0.3636991295224919,0.44172752006684374,0.46989466776690125,0.4284609686874732,0.4115935130816924,0.5375266766101229,0.3635436404729682,0.4351153494089604,0.331550234893369,0.403961016988579,0.4717502941899821,0.4709543485449981,0.5960889114614959,0.42308019786263695,0.3881981453351258,0.4988295249599707,0.3096940100639667,0.3003671045769034,0.2526434494208732,0.2893568787082112,0.27050226482872913,0.2994145506499082,0.46963997402934604,0.6549605737673231,0.42062230618235075,0.363200976368061,0.3753926703875147,0.31246553789252873,0.2743914490666302,0.24280108578628823,0.24279770956080932,0.33215320063488224,0.3466238890598181,0.297116481358675,0.3041927353431346,0.3387741581321643,0.32310435523685976,0.31652494417999205,0.3908677856510256,0.46172260373567225,0.4576496444167482,0.5442069221997747,0.7941973267620189,0.4927667129334158,0.571872853205073,0.4465031965795524,0.6271590605303095,0.5690170437444813,0.4698486231134469,0.44977535863847734,0.3469743454108812,0.2893745693412185,0.2908146245643731,0.30555864307157116,0.26704397913089,0.31272793398260756,0.35345813130274323,0.4014161460050034,0.7169809371764605,1.170295491467523,0.987877696394323,0.4116971174445878,0.3231306564902482,0.3213612302543844,0.29450769130910676,0.347718485546044,0.31527713184953343,0.35426832471794756,0.42667605595963404,0.417199208920113,0.5063099702845114,0.6219343529913275,0.6399196776307141,0.8328111203969338,0.9579481019673924,0.9101269881377901,0.6332106721918443,0.4994597566567483,0.47293825464886635,0.4280520025684839,0.33484569748491205,0.33366873786268175,0.36767208083133174,0.483147676304616,0.3794954113483701,0.38988108055853876,0.4127855327123053,0.34850637994582834,0.3840896413679537,0.4617374625603334,0.49158981822917075,0.585540456745907,0.7063371807297067,1.008498689224976,1.8639054270160111,1.2193965223109189,1.3492262064626164,1.5562169847293652,1.1780943440332097,0.9244117809939201,0.538198285386398,0.5002750200580451,0.6247811436450248,0.3627882371378204,0.3394598184160813,0.3424653161034075,0.28675728050862886,0.3269569868397062,0.2960762972531577,0.30121363278628294,0.3411398329144605,0.3787473987483827,0.4099933156451585,0.3816603037917499,0.4519066799119737,0.45177780696869485,0.44295489006384153,0.503385107277504,0.5794396559357003,0.6399767846623681,0.6270676152803321,0.6633399812013107,0.710999332030767,0.6108657091252252,0.4696578061395235,0.4565522751098577,0.5991629997594989,1.9245026418902,0.9359451937527483,1.3301986941834276,0.5703151367121417,0.535354155572056,0.6244755488123199,0.5678854593127886,0.549575571724114,0.41455634799406504,0.6530650606443271,0.6105523349022866,0.7349128545043703,0.48799161222394377,0.7436880460934839,0.6503894226252861,0.5847072290659652,0.7574246954849423,0.37261955292998106,0.3950639006079205,0.4327343968155658,0.5277531453308927,0.6225989616006053,0.6562239024367541,0.6209389538256862,0.5224005967197174,0.500434936544272,0.6078785380841981,0.505429411863213,0.4713650283572436,0.6044828656077161,0.7138304537474673,0.5755425291548358,0.5667391615797515,0.6555963169362122,0.7403379015410735,0.5818147191658657,0.5772398231521644,0.5035517169167975,0.46426962908438846,0.43881600200877874,0.4040851536833934,0.43739956240984695,0.4065693212334274,0.42236600365088345,0.40778232905648765,0.44825540873493125,0.3874351254924702,0.4038067266162247,0.5765651607673611,0.5009387617475399,0.5241299412888885,0.5496217573400035,0.8297817933119837,0.7183106949464995,0.6297470199902186,0.8075171383205926,1.0542941474274115,0.8788859493646327,0.6681244615887468,0.5437860026180535,0.47089646491185294,0.7692322555698013,0.5620705910481386,0.6106560050423028,0.6287569431467688,0.4578252664969088,0.3504694094236227,0.3187831645409128,0.2929717285107553,0.24872040684631816,0.2705010784253064,0.307774952831604,0.6390924304988236,0.2728463186801118,0.33760146114356027,0.3449138790742304,0.28354223578014714,0.3558594389622287,0.4925005797885792,0.45443633436842584,0.6450030710378061,1.0520763212529372,1.307641256541039],[0.7665064894834315,0.7878189877721882,0.8087008260368571,0.6918739811474369,0.6487788473648105,0.3114255340481078,0.2650795836024391,0.28391615402313025,0.43255362052263113,0.464256524734295,0.5004804398331862,0.5136444011859818,0.4693412795961704,0.5385957366105779,0.5559960069330979,0.5041991638345638,0.536054940595383,0.5413164275205984,0.5644877936264324,0.5481337830499768,0.6072836189519372,0.6459730817692835,0.7839422168454849,0.8154954691099722,0.8679775738331266,0.6497793252821434,0.5296717176763922,0.48354750757624826,0.48277038695767177,0.4335141052350816,0.5332549012025581,0.4849414426497753,0.5112685888210704,0.461452673152741,0.43891667280173985,0.45281279668246516,0.44114965702103714,0.47096805061719127,0.40858352853548574,0.43950093567691434,0.6580806086094191,0.5358004309137622,0.5529974221702075,0.7319644615281833,1.4472123687997067,1.8195507117753085,2.2339362921759918,1.0841353980725459,2.1966180430029674,2.3913226212598153,1.8840582994540929,2.4789771261796076,2.5870011984200443,2.512333351194275,1.529004876080432,1.1285108292737887,2.0540733574031385,0.8393741298271602,1.2856901311581452,1.636810698448808,1.066573795053999,0.7816016211713318,0.5948217198755521,0.7148637368248909,0.7028124897425715,0.6383502632272969,0.7595866124647684,0.5730370081629773,0.6907295231404768,0.7941096265725153,0.9987520702708289,1.1496861804247798,0.991907613075697,0.8278118889047505,0.7078221044358403,1.1597744712899394,0.5543693645307097,0.5139498809953472,0.49504868618122344,0.5538307408306232,0.42944169307510804,0.5172330634148782,1.0473750949784968,0.43501003106053504,0.5538940787844177,0.4167772517014313,0.45172195979590285,0.5447830490131018,0.4683551798356577,0.523708045716902,0.5219140418893164,0.7917081376294844,0.6322277459877382,0.5330584794686977,0.5192919299651229,0.596683050158887,0.6129852634881523,0.4851542927033812,0.4621551148775916,0.5749600327332762,0.4575769359740601,0.4435994729673084,0.3712608385640521,0.37095692353263865,0.5361659277568118,0.4411636938636041,0.5339540199007127,0.4602908939843241,0.432574102786664,0.523856841205413,0.32626247968533223,0.30104647369925064,0.30508550292079467,0.3146297610314416,0.4499186310525159,0.41951764713402456,0.5590881273608775,0.7241321950422326,0.6328881017495681,0.543563524711626,0.5740578532502539,0.5642229975916654,0.5024008842423804,0.4481900998256177,0.42047643162978915,0.32465505995182825,0.3849481105271906,0.31846425202628187,0.3662025547883774,0.4096110629353512,0.4219103649981057,0.44384575132373,0.4314223135109591,0.44897508467110725,0.41496548453242144,0.5139210174885033,0.6884425690775646,0.42170423174546146,0.4734216635583689,0.44128236003863863,0.6568470467690412,0.6809297760684452,0.55391672825014,0.5426327581873127,0.46734780289626837,0.41947599020230375,0.4156469131346143,0.40268201209633653,0.3259929371663422,0.3490639219452068,0.3625459270595592,0.3929857260683387,0.5704563227956225,1.1210950374857445,1.0230070089341232,0.43985075057593054,0.407339751616086,0.3492976768766118,0.37817610457165657,0.32357594630483416,0.31688920064842163,0.4245481560109028,0.46892288592067854,0.4999359570217796,0.49504018013954426,0.6038860481344634,0.6035951510862327,0.8251837761919317,0.9415243565665745,0.8579776415744242,0.5573874458015493,0.448549870486887,0.4535330336645711,0.4339910201982481,0.38830311983341287,0.3784369335536516,0.4281944395302163,0.4767669863797411,0.4567179573428001,0.41258283229984527,0.4584064303263951,0.3717063563833101,0.41112670250256317,0.47342889975268265,0.4991714346425561,0.6473521498129987,0.7684341737336793,1.0933773322594926,1.9380645764148452,1.310907202954172,1.5706835038592684,1.7978556584406793,1.3464691177578647,1.020018488664539,0.6177327760104102,0.6279334682911524,0.6179982965983996,0.5635526500003029,0.6566490681578386,0.6233456631577317,0.6426684901885156,0.588303934418117,0.577176030213989,0.690462116169702,0.6824147632882541,0.6694449835721193,0.8074705172907141,0.7907791998352401,0.7369757637328469,0.795194075037339,0.8510215414328645,0.8506820312268567,0.8360876399052871,0.9268242616926441,0.9454758108688133,0.9847261702042893,1.024462133925645,0.9963023999475984,0.9167681504502404,0.8557389027687448,1.0073505717092843,1.9019122947998761,1.2374082485687796,1.3768145624244874,0.82670756958009,0.7569008653105725,0.8040558643626519,0.7830786664492552,0.7562696361751382,0.7322510150023241,0.8834530042538106,0.8953397296033194,0.8955665409383791,0.7514060483561251,0.917366621030574,0.9232928998795144,0.8670044004019388,0.8637324806333689,0.6977491895566089,0.5985009342160729,0.6777747750370735,0.7670399044390996,0.8104566788783725,0.7159825883502849,0.7146949168509472,0.6863407432084547,0.6788164216425822,0.6513753592704588,0.6006129223891279,0.6254252308850629,0.6624521051417388,0.7148614557229503,0.6982305001465771,0.7096283114866152,0.7415409911086955,0.8322497982264473,0.8010276186746067,0.8029589166084913,0.7895274559840193,0.7321502712611316,0.6921932177483445,0.7149572370848546,0.7771304093966452,0.7408391742836709,0.7462095174480419,0.7940247877977173,0.8263667008347584,0.7939304119522378,0.8098640954763153,0.9431709770430999,0.8986498167856568,0.8761745953442915,0.9247999661770375,1.1591299499361485,1.099771635237461,0.9967053970787609,1.2241527917498323,1.3703707474890783,1.1744229821954069,1.0280514265423135,0.926611896042876,0.8977930549662897,1.0802576657994003,0.9503887539590123,0.9940608227292013,1.0446428602424613,0.8910919503181809,0.7337847800811995,0.6139601471646278,0.537392667766752,0.5751567979896227,0.42751246341575366,0.48068536674429724,0.6699992303504876,0.39635787213134577,0.5797617667126874,0.41502415436950624,0.30523562328443166,0.53510275434378,0.5311174312002195,0.4208041912695551,0.6073617910871105,1.2598136349013858,1.5138334708209602],[0.552196439408314,0.5400520419023633,0.5178147720037632,0.35856641150921154,0.41240332577523886,0.29498123572494606,0.2879856243852964,0.30815503653507875,0.37340819826518656,0.30891519076525453,0.328740012960082,0.4430646510189312,0.3124926351612928,0.39499296119206145,0.42889783132395776,0.36555958278962125,0.3948447346906581,0.40529175850025734,0.5001893188412495,0.46747465939983596,0.5359214839093063,0.6436448424221196,0.7678967841888323,0.8594970688198216,0.8129533560421902,0.613426737420998,0.4740614731102923,0.40569090341225245,0.37831583815935754,0.31976124428003216,0.38932232355919966,0.34967139989680057,0.40981206842526663,0.37191311656205567,0.31802716451881746,0.3412461975027357,0.3584085306268383,0.4118166744012824,0.35347316851126337,0.4108687526017658,0.6601293304564855,0.5092778089631074,0.49944555225103465,0.6577940347090214,1.3616913886845035,1.758011556662024,2.1904952884594064,1.0325395364675412,2.1433764829448885,2.351791167368402,1.7735823158921447,2.39402210233641,2.4582301693855126,2.363698199046439,1.481770455898733,1.0214008475931204,1.8975285134453441,0.7486729870114346,1.3662263063522888,1.5412818737419227,0.9159706003055278,0.6332174034596164,0.47602515789945316,0.6262681021254362,0.6272729759893261,0.5413021269625303,0.612349096493508,0.4660007961431923,0.6235794336784483,0.7037015061514864,0.8395025074969291,1.0353174811743553,0.8364640248711784,0.7734238038210015,0.5232160519928213,1.0649424004841201,0.42536868124756444,0.396305902318372,0.40523668068106505,0.46206945766452473,0.3837243292500998,0.4791543015901536,1.1117265716537315,0.4249152529751312,0.5240757003764529,0.3841040746008121,0.38844329927655635,0.47456104096021695,0.37283816948058907,0.4390675014386958,0.3915215360823988,0.638072298722133,0.5042827573305002,0.39422730408905343,0.37955164356686105,0.4810243408337092,0.5068237074717326,0.41338780716026774,0.39489728898022575,0.5560802857497837,0.3861276088057908,0.44737843904042973,0.34292312929348234,0.40706255681685116,0.5274944182724807,0.4683709426218334,0.5642980935821854,0.48285038754491816,0.4437931949690698,0.5127003288851413,0.3585925194390257,0.3135069513380398,0.30888039181181803,0.3128259082937868,0.3075781131211269,0.35144621271331133,0.49815046035281385,0.6238896779786907,0.5467421018037227,0.41688909559506787,0.459563878455819,0.3775570368447652,0.3668568691493823,0.28619565061266267,0.29414214795285787,0.35284644309139557,0.395765074318908,0.3426584765134895,0.364804727485934,0.39054121807012565,0.39408178086312434,0.4100370022918545,0.46357962018124504,0.47594488476602015,0.4643509116900486,0.551802333708819,0.7574029615538362,0.45391044353667453,0.4708558535408534,0.4315061922080428,0.6818902855197135,0.7124840310961938,0.5721330430323046,0.5154796031110136,0.4192803541903032,0.3350854024283409,0.3304278609170386,0.3373248152336676,0.30440929710103903,0.3245483051608733,0.38725526278335565,0.42809991147462784,0.6734786447961113,1.20974176425582,1.0341678900860707,0.42849647636052257,0.3466638694203146,0.34610520507696196,0.3159880221215372,0.3564624754074268,0.3200275974401696,0.3745774749870766,0.4233894875974253,0.4420241283680893,0.4917770950240727,0.6594039956755658,0.6499781664266255,0.8846815600692204,1.026839443910481,0.9099133282218913,0.6176560742213878,0.4728124995708219,0.4623148868146924,0.42666267305448125,0.3697825540316231,0.37693562661619107,0.396709020291786,0.4922926395539143,0.4218560658274566,0.4177852458718953,0.4556257589513803,0.3784114729608139,0.43478433930701355,0.5183259922389104,0.5287746507032428,0.6478837368023979,0.787364523592961,1.0912070490456751,1.9938515037036517,1.3598342375578925,1.5608331341685608,1.7280619921811469,1.3511980662940641,1.05364455368963,0.6506836459599711,0.6157722146175895,0.5753570184509238,0.46482049407166515,0.4969346174058688,0.4772444395728133,0.43818580093529014,0.416786691504426,0.40471180636427084,0.43984843548813674,0.45388943543535426,0.4792171328246496,0.525276098895223,0.5355941206421356,0.5526689613382257,0.5889545850872899,0.599165176684085,0.648058010848523,0.7117600995049245,0.7360321322065645,0.783233120768807,0.8009080436856189,0.8340045759592657,0.7460126381368437,0.6220070951984803,0.6021081029252126,0.8009926826421857,1.6568491147129247,1.088264897966599,1.353783036283425,0.6912397693846029,0.5914518785653754,0.6644915127646073,0.6059957409773815,0.6431128294918294,0.5509835678130295,0.7081760148547215,0.7719541270249259,0.839806141067041,0.6236086069036927,0.7661714477776476,0.8653226840875256,0.7112079309482597,0.8072547335746997,0.5252439322305256,0.48592048494786644,0.5273425859930161,0.5822575925369798,0.661264432277035,0.6726302996752573,0.655497272210421,0.5709760861521997,0.5515096689535447,0.5702800719530324,0.5317071421737423,0.50218246536902,0.5996379571486592,0.6911776529265485,0.619853077832657,0.6268025423330025,0.6874644123151503,0.7991003236732505,0.6967498911909725,0.6912308836554414,0.6243900781928488,0.576753728077346,0.5186979885656261,0.515859446210669,0.5556466896444215,0.5365918406039253,0.5539309020903272,0.5615246700259292,0.587502175726404,0.5433014879146162,0.5675665944899932,0.7360473054759608,0.6351398678679092,0.6796010499857164,0.7177851740067176,0.9974975930015585,0.8703900454995808,0.7284338350839169,0.9674012363063588,1.104221624424088,0.9938918944006373,0.7716632934083067,0.6477365023297894,0.596402502141186,0.7740493765655002,0.6240431192377102,0.7261013279786825,0.7267251721299854,0.6031977401174063,0.4871600373089828,0.4454644492657112,0.4072192749128049,0.383531846863552,0.3636354984632281,0.38757550827281617,0.6301145284621874,0.35767830610060225,0.42321944547793205,0.37551546117754026,0.3306877964734127,0.38548344414042557,0.5296642059088148,0.4338782967892581,0.5856100195611542,1.0855209477880896,1.3764012420562095],[0.4441100442252009,0.4312811075481448,0.43322390520353027,0.2822500477602818,0.39931651226446535,0.31336488822297365,0.2891528579964063,0.31509449358762404,0.4037938884140678,0.2894591944195364,0.32090331744520545,0.44293664284378687,0.2823086806281168,0.35427669221718294,0.41074212716284764,0.32643841756031633,0.3634389664285999,0.37834007331740743,0.503251270698766,0.500531641442614,0.5802177812432391,0.6858249130605875,0.862935764987582,0.9806521947134378,0.9063403737397527,0.6913095905734957,0.5331301225259698,0.4203141696700852,0.3724415391783864,0.31412880329659926,0.3648547452532731,0.3379527494188444,0.386839621517408,0.34743064958868153,0.3016523642621158,0.3432726573104882,0.33724022547641624,0.40570957351074716,0.38147583272497787,0.46310965497695583,0.7183276728746939,0.5705414019458006,0.5628780671962197,0.7149170569057117,1.3864221455757058,1.8022255541093444,2.279608557342477,1.122747088780327,2.137327977719115,2.400419194545664,1.7934151771906768,2.397682907990613,2.4032301774054856,2.2696627274102434,1.5102577294635169,1.0466110435811848,1.8829663872082214,0.7927806135705329,1.36656970348135,1.6390987188531578,0.9282043718041679,0.6526551823062542,0.4810514140529318,0.6629394691389081,0.6534565611644387,0.5664960792867627,0.60390002788837,0.4524998617014074,0.5992676095145459,0.7015287093280798,0.8043487949713369,1.0334848722339194,0.7891626940840136,0.7630435285197974,0.5170526288328763,1.0584662746299887,0.4348180594476135,0.3898901985943535,0.4044371018608832,0.48706159249356157,0.38218211110301964,0.4856160229771174,1.092130604610102,0.4619983488185487,0.5336114431388375,0.39389245860165356,0.3979551814778888,0.4594207455836819,0.37884242083291736,0.4059255699339656,0.39144626577807373,0.6434688254184252,0.4999202173154202,0.37195742397995446,0.35814198228557476,0.4635226178224946,0.4800965508565072,0.38968306125615687,0.3906537113127712,0.566294186605615,0.38297537069165005,0.45204109660498354,0.32786826660788043,0.39440573428917514,0.5535580352335624,0.47273255246536494,0.5930755333606933,0.5007713454188459,0.44888084185328697,0.5061421550161699,0.347810398262841,0.3139065162597068,0.28780147293081076,0.3064921232049614,0.29205776687791335,0.33905223599664613,0.5005946844539945,0.6014125496354946,0.5613824168865479,0.39985946750923557,0.4568428354884585,0.3428041431475194,0.35889261128928035,0.262056035264562,0.2848546880651358,0.3565363897169945,0.3645295260107915,0.3505682441791016,0.37754237354029246,0.4151528913382392,0.4337886700042418,0.44030114657566854,0.5175995328769328,0.49690104499757115,0.4937290931978972,0.5799106140324608,0.7548533687382504,0.4890841192254932,0.4530507849822377,0.4457524408690225,0.7289990473374398,0.8299594879464655,0.6102554695963386,0.5326444932147432,0.4706554674801103,0.3386468892592699,0.33340947475871485,0.327575403446519,0.2764987921584549,0.3058512942719222,0.37927329284707473,0.42492580677340164,0.6464462383264884,1.2376931030592397,1.0641008008569517,0.44384731829912083,0.35548129041221194,0.33944117886327296,0.3089209238160124,0.3460380855912535,0.31333039671551954,0.3594740078962352,0.4201232021958872,0.4524359985530663,0.5171085520753982,0.6918300904018723,0.6784296210332827,0.9503125315440565,1.0911754430212026,0.9239116211707602,0.647528402771733,0.4967846945074637,0.4782538395093816,0.43983187035522403,0.38071105908694686,0.39172535685827437,0.3913170477858106,0.4768877840725932,0.4261166234736038,0.41374110669562475,0.4975713939139066,0.40756548952170363,0.46648198340573716,0.5626402607799325,0.5860669076794988,0.7327288875320104,0.8608406624449356,1.1877861769862101,2.108353922747974,1.4361469818205597,1.6658983819349997,1.7781130135070276,1.4157680721784638,1.1100582512797534,0.7309699555032811,0.7087533698400513,0.6086878474847279,0.517865805007414,0.5291702236397865,0.48266296762032246,0.45520452210275036,0.41284105052212067,0.4068477417121663,0.4546666781597667,0.45253529918673246,0.45815961133004535,0.5292904609285548,0.5551894208211877,0.5608468608127509,0.5913260379487226,0.6291649362632145,0.6883309550244224,0.7442548685631838,0.7733070235537913,0.8703271176049401,0.8752068426284442,0.893404025965074,0.8175565624060009,0.6666351399186224,0.653034182235215,0.886598802824817,1.4942964630836777,1.1549856654188093,1.3943663037961966,0.7327021110772834,0.6124528939420754,0.6334082929782913,0.6119597353243926,0.6941586327620081,0.5870746426170895,0.7418158803312365,0.8401183513921081,0.8838335899618126,0.6802644679574358,0.7910991601170436,0.9547813119888451,0.7788167640013968,0.8494251822532847,0.5751563148664394,0.49844092517159,0.5219434352881064,0.5480504359296142,0.6369581403676898,0.6548943615507846,0.6241384320635981,0.5264272571454334,0.5517934745225305,0.5267651441787375,0.5031516851185279,0.47585324839845883,0.5805158299608634,0.6784441175082853,0.6102455720077815,0.6403010063630724,0.7008862370569967,0.8517481074982638,0.7130302792643675,0.7228073375553883,0.6677236837001114,0.6121774983500056,0.5331457770991882,0.5413774704686992,0.6040685819602466,0.5691991266233309,0.5829919372745171,0.6168089621140583,0.6407137792967055,0.5982464494374695,0.6538158795609029,0.8296988867777465,0.699309222200989,0.7492146048883708,0.8053409792837947,1.0780440318621831,0.9543129984129293,0.7818678149208799,1.0462432427219701,1.1279332990913753,1.0847843910928607,0.833177455919624,0.6904586159527658,0.6209342945623094,0.7659345222579099,0.6618364888702146,0.7851425561199543,0.7357059075162385,0.6253271614139023,0.4964616790052334,0.4637815995052584,0.40647490597929564,0.3702390574238852,0.34811894233006146,0.35282612584531164,0.582978720548069,0.3305830468492263,0.37824923871956767,0.34227341267131134,0.2968228224251317,0.3343681850147329,0.5248768918966964,0.4285431698731177,0.5637791838093802,1.0906051647469857,1.3595767463731505],[0.4310643506197487,0.41704537042650336,0.4322277243681059,0.31332608003036805,0.44913206491620855,0.35898679466753425,0.3445093205999716,0.371411955531189,0.41961750894183314,0.33250830956296956,0.32850375329556214,0.46085599935502747,0.3321094176639329,0.37128518184834847,0.4188515466022214,0.35482895561837086,0.4182286160764183,0.42732638938130696,0.5689953366088242,0.5639108576444347,0.6468815175031347,0.7579387930812773,0.9380722917162823,1.0623159881165611,0.9508352468029,0.7670331830458867,0.6109882560011577,0.47766859783900856,0.4187875849755579,0.376420054575394,0.39964712435190597,0.3723855879895932,0.4241545870156806,0.4092090469720052,0.35433618657781535,0.4096242371185982,0.38697095857243247,0.4643712770516216,0.4535244646292533,0.5071598345476179,0.7530043821631978,0.6328581994908902,0.6173568221924023,0.7174444737640784,1.4176784767888722,1.8272990027159883,2.357248319466642,1.1284521098488607,2.1443724635951105,2.33912025658048,1.7919252876702003,2.3810655921878117,2.364556233460877,2.224004483876501,1.48201052624925,1.0430002474724436,1.8764492601308134,0.8027329811957424,1.360042136483299,1.644842603607329,0.9607929955396648,0.6704455906089782,0.5219024177300627,0.7477863406544544,0.7093879173698805,0.6307758106570346,0.661158387296616,0.5199478906085396,0.6769429615693753,0.7343425933529351,0.7840225568986964,1.008654003754555,0.782761228637545,0.8083639439064331,0.5308290379421731,1.0991061747947382,0.4877945923034569,0.4510331894649395,0.4557176962244049,0.5214112830274793,0.4433816819504836,0.48987631232343104,1.1354645827473309,0.4950641115854285,0.5801644141689978,0.4538769070074181,0.457010092487033,0.49353664926391166,0.4415910514233812,0.4323868003961144,0.45156499862639676,0.6681040534762126,0.534061619506438,0.4191759632908131,0.3911166692747764,0.5006273959230525,0.5133182427546672,0.4203601877183649,0.4174638681124067,0.6033405771576933,0.4207902890629724,0.5112867104994956,0.3871533972060245,0.4520643012904555,0.5582336645944243,0.5272700108175198,0.6398670243013282,0.5405247111978801,0.4894646890934502,0.5434580815115567,0.40216785200916205,0.3748117158101539,0.36173772462364356,0.3720648722583687,0.3673719482460071,0.41627870559666375,0.5365897878299914,0.6258509906749673,0.6095956179599479,0.46641603580707774,0.5165582810841816,0.419749742659759,0.4520701115362441,0.3485774155734001,0.3536833031129013,0.4182723662226435,0.45126744219767795,0.4110217272100575,0.4213943936823681,0.44542375982199134,0.46347045567064427,0.4641712934525664,0.551741793310511,0.5188210919758567,0.5276455836049808,0.6106105896358057,0.7785241840534997,0.5241610591225955,0.4820652071402984,0.4884768807718103,0.753475209840569,0.8742287763905845,0.6563114437803489,0.5865334216303416,0.539618924508724,0.4155168580126517,0.4072506919422069,0.3960011325266099,0.34827208738122184,0.3965817422137386,0.4418772094251997,0.48489691563306614,0.7315755420335552,1.3039455170569982,1.0993706434823192,0.4918133949711577,0.4116506995432728,0.4152459344064761,0.3733191386729099,0.4073459051501152,0.3763497263670908,0.41398711505253233,0.4634183350811988,0.48986820691053967,0.540213400055968,0.7023362171178023,0.7066194154947669,0.9836377808599726,1.1319777550603094,0.9453258107499516,0.6713266774424983,0.5239036124432582,0.509007672873269,0.47759832174735284,0.42569536122551427,0.4416058061684657,0.43707601533829576,0.5087019962399947,0.46632233964522074,0.4520731628681598,0.5262105106738473,0.4463924005448743,0.48747027411739874,0.5958310207225076,0.6089676473651335,0.7547671749597084,0.8800685310983856,1.2128436485458867,2.105096840910828,1.4489805006215601,1.7331804533230604,1.8328928224151342,1.4565103723402382,1.1422898143901732,0.7608574799047421,0.7385042989354303,0.628617767375891,0.5407927735385444,0.541993069001352,0.4784399832944613,0.4607859687622643,0.427790607326356,0.42541635548505247,0.46602928003199967,0.4711991042758834,0.47999213336225055,0.5325600378899373,0.5684431311998293,0.5862547800647875,0.5980652810226903,0.6211745988310134,0.7055081620420209,0.7617017698865642,0.7539146014809195,0.8752902719691512,0.8811307722522657,0.892931074640383,0.8593559589234763,0.6736078189325162,0.6906320554050155,0.9503715194175548,1.4757800836964288,1.2090894440835909,1.4176162731403394,0.7457255675205939,0.6381024769123235,0.6780945382447929,0.6292045235250548,0.7500358691995003,0.6140319316184011,0.7414079374040855,0.86791364619315,0.9475660729835281,0.7048269591703681,0.7684226807402524,1.0166985911575872,0.798119799984064,0.8624569103324687,0.5839414798872855,0.4993543978290607,0.5206928423553455,0.5652031806076684,0.6547602938471836,0.7090259764429475,0.6700938772360253,0.5579034977211481,0.5764519979617521,0.596306895603918,0.5406180266254714,0.5213398200938838,0.6406029213768211,0.7337478369169649,0.6557129089299167,0.6963509446244827,0.7707311639482685,0.8883645493388687,0.7481320177813768,0.7740816296499824,0.713920841612944,0.6641161158472526,0.5762212092348571,0.5589778789231948,0.6416844197737208,0.588579682728571,0.5919796846053651,0.6360215028037515,0.6641907389719992,0.6030212152709522,0.6591268716280952,0.8654100731257062,0.7159766460286058,0.7811560821440159,0.8423433968768335,1.1285054781818744,0.9661979364706734,0.8123744664423705,1.044422015335384,1.0735138591994162,1.2053245951236404,0.8429751919191488,0.6884867369097811,0.5961051179538293,0.7048300603252549,0.6595264088048588,0.785043268606196,0.7315438971559757,0.6178705413441193,0.5018023261670376,0.47818751125640335,0.44055146047743377,0.38715852624293245,0.38885488939552115,0.3970498020343765,0.5996034574639747,0.3873490297562921,0.3947002557039718,0.3905344471945447,0.3659567518884544,0.36337747833906614,0.5886371921484861,0.4588344732307207,0.6168334513237208,1.0971083920636375,1.4922281328566804],[0.43279483315463424,0.39599723847980745,0.4515445486458905,0.3090001643850488,0.44309763871893726,0.38920899986980073,0.34269090376823214,0.37552737454768076,0.4167036195482326,0.30877195544445973,0.31177789377821974,0.4582277090468283,0.3116110515734671,0.37087501808279405,0.4146513864860114,0.35549620233217727,0.38669197466404504,0.4014065384870701,0.5294437622498561,0.5271951353996108,0.6171981879487621,0.7369262430003357,0.9132486203681542,1.0306188370072507,0.9538872010602456,0.7281163756871576,0.5691437049296273,0.45120979763332114,0.38875708843036805,0.34352099359541216,0.37197579065492414,0.37312083785879047,0.4246317184431675,0.3923049516589001,0.3440663131015914,0.38532742008144133,0.37426369594105857,0.4464409147144105,0.40870238208621107,0.4841392794374499,0.7724927376657116,0.6047761212600694,0.5914977466060156,0.7367357528661836,1.3935844437699063,1.8162669517482386,2.268810384180529,1.1764731546840625,2.133687548508608,2.510408759079118,1.7992016383287421,2.3948952490715945,2.3769616336674972,2.242440409367335,1.5100556327885781,1.0423259655399695,1.8536680747468393,0.8247490919088717,1.42606190665284,1.668921114067945,0.9256059822278065,0.6603197158473121,0.516569893856112,0.6873043488141934,0.6848665337007882,0.5992834977903593,0.6239877423622274,0.46935332721875694,0.6111670002594887,0.706606781375618,0.8014554943639584,1.0359859929968238,0.7764308039217012,0.7839871871362845,0.5331026717078633,1.0434348647271323,0.4511190955983099,0.4201052952449411,0.4282245502133817,0.5155714644544596,0.42205752894950355,0.48205163377892274,1.0920244160677512,0.5148703076259105,0.5639933503110908,0.43858191013918063,0.43410395270923197,0.5039608531709997,0.40712018416981466,0.4307068582993162,0.409015512786484,0.630539966494669,0.5080612903857773,0.38791861607787725,0.3746617569127885,0.4831853899317626,0.5007826843590596,0.4139952630522488,0.4175771570776524,0.6110158549731013,0.4307394387633899,0.5300271447097995,0.39074896149957783,0.4981644848651204,0.588310671395485,0.5109249697723719,0.6309551791342296,0.5557736352856286,0.493217655293919,0.5239245825230603,0.40664082680924496,0.36256031824463986,0.33437562151296024,0.3605786127674206,0.33196537593315034,0.38754792332488913,0.5252750827276711,0.5984597380145439,0.5764376535100151,0.42628640335283746,0.48320491835838003,0.38666433317282106,0.4165199173640128,0.3116003711579696,0.31656550098786534,0.411260651907798,0.4550056729957324,0.3974935313433404,0.42840690117595087,0.4344384804102935,0.47929849372815325,0.4840828392512265,0.5424995851969077,0.5183024135847493,0.5178030048949706,0.595051249835446,0.7106348657057128,0.4960965679513967,0.43177542501158056,0.4441405690562542,0.7152300891635816,0.8374302277302055,0.6315214912070993,0.5434569697504945,0.5142229379045506,0.3830859881554176,0.38194758963631903,0.36719332004499333,0.3363678585179205,0.3741109442277708,0.4412051013424875,0.4708834894543801,0.7041153489579287,1.271174632407978,1.0571799054935473,0.49869695028529293,0.40777898566452137,0.42073444853894243,0.35219239608576086,0.4109644178804225,0.35896620592744694,0.4073772594702282,0.436786952792656,0.47357635751661703,0.5333868452941242,0.7318619581668837,0.6885403770017481,0.9700996800495806,1.1239453666303867,0.8990478374464315,0.6422341290790817,0.5119187591392216,0.4989373801021286,0.4738783926469347,0.4221880922400609,0.4257351466993176,0.42652953357521783,0.493636074478697,0.4715895594980097,0.4618413436659031,0.525740034825002,0.4441153151418327,0.4999769969841756,0.5976016404765679,0.6071090589779486,0.7059959252884923,0.8297900067557701,1.1951267118476103,2.126757355350189,1.4652715668978606,1.657147119056862,1.6754671829643657,1.4037932171504999,1.1282866126206408,0.7582266192785994,0.7378876444308389,0.6270346333707217,0.5892003397655813,0.581085562720313,0.5051735996463087,0.5100516063226348,0.4617581065606709,0.441848405058182,0.49506483978757715,0.5161531992268679,0.5186494025121354,0.5605872180197528,0.6099825473722846,0.6515684543763909,0.6698481150652458,0.7042442356555985,0.7956388852739094,0.8497803000478175,0.867068862344122,0.9932530234839145,0.9577371318296769,0.9691116035890236,0.8933528771882139,0.7292104139841546,0.7624899296755212,1.0264106570164206,1.3904750880470909,1.2605777819381256,1.420151421413294,0.8334194161191218,0.7273458131893185,0.7176031255065826,0.696218918209449,0.8379283932750244,0.6852340151144081,0.7970091357114241,0.9119115990364655,0.9713508799615634,0.7555232386328861,0.7975376219071,1.0977770197427101,0.8448855102011692,0.9112577279247741,0.6315840446034846,0.5429096921360246,0.5524777701057116,0.5830178986796246,0.6391073968972377,0.6991094958312308,0.6262737845864523,0.5589105952727251,0.61222654998489,0.55770507749673,0.5475741494008767,0.5264328402979501,0.6460317916744058,0.7198668577660252,0.6765688410820336,0.7446720456620505,0.7937888681185074,0.9481528080351536,0.822922103225447,0.8605455432295082,0.7897036767191742,0.7352258623222416,0.6194954682536139,0.6275883743215444,0.7166671760893824,0.6612974968732214,0.6552474605030011,0.717226291131771,0.7335073791255304,0.6679883035680932,0.7443364790058897,0.9198177938691309,0.7575723360174094,0.8309245039466873,0.8950109907768645,1.1424157254834513,0.9821117423705841,0.8260743545897169,1.0544021583810625,1.0714885438960324,1.1987220563580403,0.860685801730524,0.7237307727544574,0.6776148675987571,0.7070236250201581,0.6679981193945035,0.7996309209114263,0.7340276692361373,0.6408171536915626,0.5190574868665543,0.4963097088580956,0.4426278486863413,0.43423571455914434,0.4143721295360833,0.431121465318143,0.5430460655625059,0.40029900296194354,0.41972702366620623,0.400970918961217,0.35819865836352044,0.3583836178993863,0.5557725856298833,0.4458321158473127,0.5238660542176079,0.9058069115368634,1.2563822782523457],[0.44356028228209515,0.39416219137911557,0.4437632951065618,0.3099547832359097,0.46077538295018206,0.3776664502545065,0.34451571666955,0.3645776021063748,0.412323160040558,0.3224664768237954,0.3113314534668194,0.4569376138452087,0.32801370505237415,0.3795217020137639,0.4254723383913554,0.35689729100345957,0.42109153221988344,0.4404225872246826,0.5835891320302503,0.5775272643485183,0.6778188565416824,0.7928565954390271,0.983227455427969,1.1100213138149473,0.9895325946997626,0.7779295323415139,0.6165906178299136,0.4875103930202839,0.42395253690213,0.38213169811507053,0.39895721095400605,0.3702050037147868,0.42376614003472857,0.397325842825219,0.3692563530732244,0.4323435474675861,0.38498064788910585,0.48080610638663956,0.4663356959485636,0.5524174206592432,0.8097061451848414,0.6577797373668558,0.6626911148001392,0.7864245734859041,1.4495315556536672,1.8415305780701579,2.377301059292678,1.2220824406531743,2.104971420568407,2.4649839755610605,1.8398280603242565,2.3860495232233534,2.367016016438918,2.1958212213799944,1.5594485608733233,1.0772962299461208,1.886917367241053,0.8714397431292116,1.3890092118664181,1.7640970501983708,0.9974764516768605,0.6854075525297372,0.5547716215079482,0.7418220575288429,0.7415947647891952,0.6399540795539778,0.6631098442734135,0.5187750100541293,0.6641253216928883,0.7633579025675343,0.7982701988701503,1.0423184932260547,0.7745336108386616,0.8424199350582485,0.5503690554381989,1.0910017985677243,0.5105030796582547,0.4656153706950765,0.47280955032777205,0.5583459755635507,0.46092973479769994,0.5335760503654118,1.086753886119509,0.555838272846095,0.6219527474582742,0.47272452853971736,0.47935443162563707,0.53194294425564,0.45730865348611305,0.4403070680238333,0.45255323590354923,0.6598932109942839,0.5420894192130119,0.4031517291249051,0.3806089473295842,0.49610637929180085,0.5053336038992953,0.4159228611110628,0.40809951252829346,0.5974472017067204,0.4272026630696411,0.5204818194566375,0.38961505838559907,0.49264202435978793,0.5990212659179599,0.539690463855662,0.6632563568724825,0.6042498879977071,0.5338795618327107,0.5453190888685795,0.43786908698025123,0.39440852357968487,0.3542948111453112,0.3796386225790675,0.3614105916854354,0.41332851503840085,0.5310037944620615,0.6030025191934446,0.631141483349334,0.47319371283915673,0.5314776206607333,0.4179342894063667,0.45592555554488645,0.34060739176864274,0.3325471356662934,0.4255422694980041,0.4623226395697363,0.4317208106585287,0.4620617071432221,0.4734399951947916,0.5367837160923721,0.5410001847218862,0.6132190660640844,0.5616844127840709,0.5794387404504624,0.6500034354590843,0.7539747802840014,0.5525508310490898,0.47007658872017355,0.5004726413960907,0.7342686737231895,0.8987619284964579,0.680628571308871,0.585622633490766,0.5543051299336258,0.4337074398596787,0.42773954413310183,0.4010225129407757,0.35927574879412427,0.37875512256091093,0.4471764889085036,0.4679227149702138,0.7075744826161243,1.2904124497590588,1.0664245235078256,0.48780451980956985,0.4072725458218964,0.4244344553791607,0.36833952895280764,0.4164809734108189,0.39777408307191464,0.45500514436092765,0.49031036366512465,0.5365567789929917,0.5889064260510408,0.77057146557564,0.7451096253202852,1.0400865688393996,1.194738819512719,0.9381201249813738,0.7016244818032055,0.5629565713869403,0.5516455786186057,0.5191012625845772,0.466795636064202,0.4584549151167616,0.4575579688166175,0.5079516938734574,0.5091914389366574,0.4901093454229558,0.5767321719220504,0.4816004585075032,0.5493787891991613,0.6523473500574021,0.6546553294896946,0.7554381089406759,0.8891435675104824,1.2474353234081732,2.1330581372788764,1.519746422650177,1.7794683082389287,1.7728982903564765,1.489709555066203,1.200082834595303,0.8422420139745346,0.8240727412040242,0.6886105344556308,0.6539524583383498,0.6439055023513762,0.5467773206282687,0.5584889470386823,0.4937398702179215,0.4732550418325148,0.5377661052990482,0.5581830156309892,0.5410791888695123,0.5906241482561365,0.6535137507519311,0.6891775783077435,0.6914286902879109,0.7366101221321768,0.8420910279478336,0.883695202714977,0.8852833777804072,1.037873574824503,0.9935869079344162,1.0607526916287362,0.9672129595633098,0.7949994180893968,0.8452445951262259,1.1279221790183265,1.3913550294648867,1.3498370998736848,1.4421417719483527,0.8926405383738981,0.7921309288272059,0.7643091941585705,0.7757785287687613,0.9305823404171892,0.7596356139887628,0.85676104669761,0.998940005598252,1.043805333924825,0.8317888854911574,0.8694793464436732,1.2146714654311372,0.9392330353798732,0.9753782862535478,0.7015417625712481,0.6031594091310115,0.6079118993194805,0.6117070693938671,0.6520665128835463,0.7226376472244057,0.6400746468978077,0.5792289609240469,0.6456320943161277,0.5690947512003894,0.5670451494235028,0.5501142465580443,0.6681023573923311,0.7364622325225587,0.6936002926710023,0.7783466197850866,0.8332884341034461,0.9806002846849852,0.8643126173262032,0.923684112051484,0.8498442756644512,0.7965389135750393,0.6648867038344389,0.6892114591273856,0.7953938706403119,0.7188515394705202,0.7105835802027454,0.7911930912897963,0.8019438705532531,0.7293235887900386,0.8291524013797429,1.006994143235752,0.8299696572358206,0.9122601819719169,1.0067911184018676,1.2395353617029141,1.057120267465314,0.8898952723483708,1.1467809855109377,1.0921460258269156,1.2902468280819865,0.8916359222478355,0.7579571600140541,0.7109495577085586,0.7093475896100869,0.7034229486008958,0.8345686170163432,0.744249315776296,0.681814540113289,0.5598246037308419,0.540699237670519,0.4759836639490054,0.461158752932832,0.4346381080836955,0.44402091484561557,0.5561838735739647,0.40561316733292185,0.4179097356634387,0.3909343792976531,0.3448591606311627,0.3421912314800583,0.5678694096235488,0.4412205956780292,0.5212454229605173,0.921940799083103,1.2797184890942317],[0.44849182015939043,0.37458221817916965,0.40586389245393634,0.28195752453677264,0.4311876949640135,0.33120276385053593,0.31583554370773226,0.34758705778679894,0.3883783104775355,0.2910526710003476,0.29775648578134645,0.4454937528290261,0.2872159635049212,0.35459294590630186,0.38653564339059937,0.33371232497629055,0.37210699780412354,0.39162865391080454,0.537634511877587,0.5290607033976522,0.6244782955446512,0.7443937392750386,0.9124458130697451,1.0510824150641587,0.9490520241532949,0.7423502883606095,0.5810310799551041,0.4458260638008499,0.37354082582678966,0.32912438813022327,0.36343433233345185,0.3464644499403901,0.4017257990208749,0.3751606381432765,0.31259095603760345,0.3632506421019602,0.35256806583805483,0.433590839078791,0.4090454483055044,0.4810214616874942,0.7818147941656038,0.6066750040640866,0.5883691729546249,0.7324031915493247,1.3977832103129466,1.822660190390534,2.298841920037887,1.162724701206879,2.128653797181967,2.481819678566162,1.7927386886058967,2.3956714330850297,2.3922491055690895,2.265643569159388,1.4987295172627584,1.0521598209883511,1.8735244093335213,0.8071617922199105,1.4098171323298316,1.6417298174687704,0.927990362293541,0.6667310166819395,0.5035238987775551,0.7114536926318801,0.6844504521158871,0.6037121272987419,0.6282017495215438,0.47618429636572857,0.6376765767634289,0.698146305111096,0.7710241754564879,0.9951716116766177,0.7685529043893249,0.7757112220453347,0.48878582346657345,1.0559483549190973,0.4354514465349671,0.4067838060219992,0.4121243174016036,0.485581674122014,0.41642680220686284,0.4741359909500978,1.1225033093468126,0.4924683570410955,0.5451867515694665,0.4278398791193073,0.43596142900300305,0.4706003135906051,0.39370885759809293,0.41516686084891813,0.39638602430454356,0.6411694232149839,0.4982314768214045,0.37757938847102357,0.36294847830246496,0.46827109598021005,0.49437197186997756,0.4040418067704748,0.4002990180150024,0.6134516980520447,0.40373737071721727,0.5214781407708884,0.37753360046024004,0.4604602287820628,0.5648997049061039,0.4769177133769104,0.6515965214329583,0.5225048776144263,0.4776793598163899,0.520270678337906,0.37810020620471146,0.35368756070166635,0.31430500930845034,0.3551245584460025,0.3185528703040024,0.38791727256865194,0.5247738447368205,0.6128277893429217,0.57842578407251,0.4292933718654583,0.47639709805604774,0.38217332884380795,0.4240471878304583,0.3088686640402458,0.312848671267152,0.41652477654112535,0.4863671405530708,0.38365589370896935,0.41576415497762154,0.4266301527386934,0.47784014168729816,0.4911843957055781,0.5392664159835483,0.5128999854732466,0.505851987039389,0.5829000326330382,0.7205078949916179,0.500000201305429,0.4490301393861642,0.4625404248636018,0.7410739541686449,0.8708181411552625,0.6440587463332494,0.5504579137584951,0.5180558922093847,0.37129116274011575,0.36929599483237,0.35761351287513443,0.31729254198026224,0.354656780750135,0.41697137581617766,0.4608370783798972,0.7756780269624634,1.3208918357203308,1.0621067467890264,0.49144384145305775,0.3811735895479295,0.39797534492053116,0.33007477782024386,0.41110299305096987,0.340276526731398,0.3840413953924702,0.4387049471651206,0.46382934953178284,0.5356868972714256,0.7474648695553245,0.6919897786525345,0.9831459095223206,1.132762165788859,0.9046437055046648,0.6486257771806118,0.5078915613553411,0.49348403045239275,0.4565586925368057,0.39847091653310407,0.4121895521891651,0.41995193694194993,0.5211439461974111,0.44575201929961217,0.4388959484046944,0.511284525502273,0.43690628214894883,0.4874769166693342,0.5989056437181207,0.6103351816487899,0.7141928565566799,0.8400958725047848,1.2011501920501804,2.1215123104783595,1.4531550072672645,1.6360101410128436,1.625936172525567,1.3718709975235042,1.1082445589800267,0.7541736140123209,0.757456086866457,0.6502259290756226,0.6064178520081648,0.6054987244334812,0.5081455632049162,0.5231019600836382,0.46577329834079645,0.43820587723135607,0.5136713738630032,0.5361700761120832,0.5088661844308907,0.5397523076069446,0.6104096230698594,0.6710853211132218,0.6503646580424899,0.6772742908593439,0.8089782186322897,0.86591761257896,0.8227718850793136,0.9724197325400866,0.9068870080489752,1.027841240814774,0.9285183260196053,0.7459384541222348,0.8070445072859249,1.108077437037185,1.4145668551972312,1.3841692653180033,1.4520461278236083,0.842938251309045,0.75815813672597,0.7447609711999688,0.7403985064450487,0.9061339726983902,0.7110441151608898,0.8326151718850006,0.9400826669708305,1.027105263102066,0.8029703299714211,0.8192640477105202,1.1733127143897277,0.8796799496199889,0.922159602003218,0.6575990567362291,0.5586179274054245,0.5562075356275424,0.6032709082468296,0.6405776824712236,0.7329561489389336,0.6097019628561163,0.565426037965894,0.6302205709091352,0.6100551598702655,0.5604760510386433,0.5480804058501932,0.706255599493595,0.775016827617167,0.7009629103680823,0.7838610773175471,0.8690567175427067,1.0194788487767732,0.8610070806696772,0.9284587302239375,0.8390025605298581,0.7887112065998053,0.6587096462165308,0.6711608067973205,0.7741496433053789,0.6772607883513263,0.6717631030493557,0.7508343428193802,0.7599256376012474,0.6918152061530028,0.782006797482467,0.960422628378847,0.797267714733931,0.8872072010980466,0.96903376562991,1.220599134229485,1.0185813584200598,0.8931799845349392,1.0903047065629476,1.0876971289116644,1.3488768432433564,0.8583442769234803,0.7091375301486081,0.6260516732920701,0.6534041475287039,0.6993439793847043,0.8412139316447406,0.7728302575237294,0.6572115323468815,0.524702947976906,0.502085218551524,0.43263737596302565,0.415601979208794,0.38471544194198826,0.41543747630342015,0.5084699708234474,0.3536683661834669,0.3912628908734548,0.40752054753242456,0.32414526836775315,0.3347915644828488,0.6069405373816673,0.5222425461365511,0.5410491869316885,0.8067855735094026,1.2374447159017632],[0.37212438843443824,0.32864680029005816,0.34215778172102,0.28054995639666974,0.4525951951034223,0.3801671255190968,0.4110481017824818,0.41912419150627456,0.4734201911866652,0.4575730496452524,0.45379541989565714,0.5541173153935451,0.4607321455984619,0.5057091404300763,0.5388243298631252,0.48949287725579227,0.5475608998333954,0.578155147725348,0.6991329494061856,0.6795399133266855,0.766023270424875,0.8518111855988588,1.025836368562222,1.1303079154867317,1.0410915898830293,0.8736035296106276,0.7216456928172129,0.6040879121858311,0.5288774344643841,0.49833693617833025,0.5383575358237671,0.502061271875265,0.5335295906609625,0.5284694472431544,0.48426692317253245,0.5460475849475714,0.5083301386846398,0.6037582015446035,0.5817991977973495,0.6173073064357091,0.8175336702850495,0.7403266359422067,0.7212523856327298,0.8103632947703676,1.515690135746468,1.9080306403733578,2.421686637044259,1.2423710394241652,2.220417116202041,2.4402026909304526,1.8900364096519309,2.4502256603428965,2.4173602478597123,2.2722206355316836,1.4881565260956773,1.1210941099735103,1.962958638529557,0.905613571074332,1.3978756156573404,1.69664491317693,1.074189947051189,0.8002480185496648,0.6520061386185466,0.8960151069855459,0.821462366540787,0.7596462398289208,0.8019609382937112,0.6502920930826637,0.7912534798193512,0.7991954944489781,0.8930808605634502,1.1118815661663184,0.9000102231767368,0.904567220336964,0.6572115030679014,1.1706000875580105,0.619708845985862,0.5821862945377011,0.5763154895161762,0.6214801154425315,0.5487011187586612,0.5779433873057462,1.1448619114699685,0.5904079256087297,0.6789725889574888,0.5725881280128241,0.5876745840930131,0.58828896705298,0.5756606933498333,0.5359466728209844,0.581986542817406,0.7530144160779434,0.6418363332588382,0.5387603442807452,0.5147701291899988,0.6160394860020889,0.6376667683477868,0.5400478342403968,0.5206561480576992,0.6820001128927726,0.5234466342044003,0.5819940419845073,0.4629972571289792,0.48979133052412877,0.5657163284202988,0.578855080740866,0.6701509191874546,0.5487853640064774,0.5056590105633327,0.5542943363897304,0.44209550228579714,0.44910436107766183,0.42614479779986386,0.465411012251939,0.49947761913681205,0.5383181244222393,0.6481485740368533,0.7244794046968015,0.7248663993731054,0.6161901777706723,0.6453914259882099,0.5772505634506035,0.5963810093671829,0.49408169663803253,0.4708517003112246,0.500293143421778,0.49396542712786407,0.46475452455112926,0.45023285615108805,0.47928471366213504,0.4946646683913218,0.4966581372621283,0.588403023130378,0.5657489589709126,0.5849771269130919,0.6753828116987063,0.7899120093756211,0.5997596197378666,0.5753920234404216,0.6075640820695084,0.8301483720894706,0.9727440774798679,0.7534718814834008,0.7031687353458494,0.6427068361208125,0.543082817709681,0.5347110438585734,0.5088149337720453,0.4372628213711952,0.4764885584816239,0.49395933674921205,0.5258310254575446,0.8000056479608739,1.3579811510196187,1.1411455259917245,0.5700826664066568,0.4838830849561323,0.4771081675264033,0.4671936345323066,0.4821324075244413,0.47323851893051533,0.5219090318252485,0.5945631963793525,0.6173431529938755,0.6456467681838945,0.7889908402686846,0.7844318438996254,1.0559538509216362,1.1771359954199194,0.984894359974435,0.7273331681359753,0.6175736768144233,0.5990684980249401,0.5710726028898805,0.5265436686550679,0.5092262515532716,0.5385372541512187,0.5565076950452761,0.5682758714096742,0.5480138974554597,0.5899943781279471,0.4951669325673087,0.5512436171678138,0.6810080900495156,0.6932130139044206,0.8209767118091693,0.910738207024169,1.253075000594927,2.1435596152595573,1.487975228197855,1.7752262316882517,1.8136916565411119,1.4680612415307368,1.1671186423559583,0.7912823170616564,0.7551604295318387,0.652705871767927,0.5779655558667515,0.5627962037265252,0.4859215788364697,0.4525936508985491,0.40934070372685694,0.41239127611903076,0.44830852536466914,0.44977672401055824,0.4420115875898973,0.4919845781117564,0.5334490918723073,0.5795537474053474,0.5636325793038757,0.590909644991713,0.7124576477449923,0.7677916557948397,0.7239406153542676,0.8827028382904094,0.8408399511467076,0.9623696155398195,0.8831803923733552,0.6847073768556771,0.7309401637534771,1.0121006020228567,1.4169895690057623,1.301360785105734,1.4342922756722838,0.7519564276389912,0.6532840294871763,0.6650281547449198,0.6325432585480626,0.8002125980994235,0.6217112716131478,0.7613462510051624,0.8736698776628354,0.9733401571578478,0.7418392459958072,0.7848381638485848,1.108313521693693,0.837149665291846,0.8836326086821121,0.6043315453002395,0.512053141494074,0.4966375880813867,0.5275149143743563,0.588252272539991,0.6916364636665246,0.6125173008756197,0.5204136240632194,0.5456802526276215,0.5819339791150312,0.5304981671780882,0.47833843620690375,0.6454939152737356,0.7426634970985017,0.6376451633409057,0.7059500075371695,0.8065992234997211,0.9401079396551301,0.7749371576732118,0.8309162319201369,0.7434010451827677,0.684565979808302,0.5589412714512279,0.568835399863983,0.6792087967613495,0.5865454393500491,0.5847480598768255,0.6605375988771957,0.679446475314045,0.6085670999549417,0.6953951256954891,0.9091564599646589,0.7421779187535114,0.8276048384328141,0.9057259914627992,1.1866089548986474,0.9881868445536705,0.8530268042820539,1.0705967230096536,1.070201015128272,1.3054614992012052,0.8296730009494717,0.6595366753387094,0.5502889740594857,0.6359531686726078,0.6648137651582261,0.8101366759097194,0.7485222105019669,0.6152937408386652,0.5060520210295927,0.4877880667853832,0.4493311670620234,0.38733779242324673,0.3791119814400541,0.35630882928163415,0.5669524589931164,0.3775391888921964,0.3368814507495272,0.3444827309156044,0.3550670557286069,0.2973798305692417,0.5222894793933602,0.4675329886061567,0.6284646051440126,1.0229426684431566,1.4254074186288874],[0.366337629090614,0.32125289155987213,0.3526544628253614,0.2649929062044421,0.4127627039766339,0.3239814802760297,0.3261573715671032,0.3459043737857952,0.3950735184960443,0.33063239441996495,0.35255867312133693,0.4720243636696603,0.3288416237895222,0.4110712517736932,0.44086764872632067,0.3893106762299939,0.40788087673841417,0.4213408657003972,0.5544276794184604,0.5366828015275731,0.6089078098465265,0.706555053881804,0.8770491149164619,1.000031256652079,0.9121531814068623,0.7261518224515774,0.5673863119370347,0.46800183171509674,0.408125479635344,0.36903180238727307,0.4251859702527286,0.3766274779158788,0.45046768330396986,0.4177725356234733,0.35728966645129334,0.38965175050958106,0.3951368497113315,0.44945885046812845,0.41448023862768824,0.4618058594713465,0.7350335620324435,0.5854225686214987,0.5509995448736345,0.6951791410657997,1.35992591619017,1.801539759461376,2.24152000028653,1.085524453882322,2.1485909967436605,2.435813252979155,1.7524718562216857,2.381086412106691,2.408013487256721,2.31598392058183,1.4567607533853408,1.0221371260925103,1.8528619686703087,0.7908689463231581,1.4237638706007605,1.5179115948859727,0.893810351962343,0.675483536133833,0.5269835353498196,0.7212396879026458,0.6867437235418578,0.6085744079201277,0.6360036086895112,0.5076461003150502,0.6837901204803973,0.7158823308736001,0.8185847527654341,1.026208207203992,0.8475467873192278,0.7930228011116346,0.5289276035611011,1.096115266019517,0.4480910586943792,0.4394529962166208,0.4393131096912751,0.5077807525425363,0.43241447865938615,0.4809705885735815,1.1348822361061812,0.48192006345125193,0.5404888824261834,0.4419753590364454,0.43514385304594494,0.49369430421554295,0.4161067281491049,0.46754314598238345,0.4334650536157352,0.6800834099262547,0.5288172605591954,0.432872106180987,0.42017512485340136,0.5080236209811496,0.5429955791052364,0.4433797098932102,0.42497042319983686,0.6297009806321826,0.4324365131373074,0.5257621116382154,0.3962911530278545,0.4583798572693123,0.537829097281721,0.4501598161578641,0.6229848324783825,0.4800948033752771,0.4540488277084584,0.5156979234445294,0.36309392997829876,0.3466337899263733,0.3359520046899446,0.3787448609421745,0.3589465101171884,0.42261951195545894,0.5566668948435254,0.6500461121648302,0.6063619392475049,0.4686084384207323,0.5066198129520589,0.4240130433560037,0.4542669149992625,0.36207763665906956,0.3623419584068156,0.4437481717830792,0.499980168921496,0.376920546394379,0.38652330639950333,0.40034207753937545,0.4259096961942495,0.4457680593649386,0.4945321569365303,0.49521169959762806,0.47662920273918913,0.5600113609556688,0.7235337923667102,0.49327348052615627,0.49374445988771776,0.4765306021475166,0.760124151112713,0.8370303914045614,0.6459955367130794,0.5738853268994534,0.5184038643153803,0.3952658921457662,0.39166515874452307,0.3901723609286482,0.34311627764936914,0.3790907740430171,0.4234167850787191,0.47013586958532544,0.787989394296188,1.3223681608852393,1.0684794994678244,0.5083471312451759,0.400739971319469,0.4039248982542168,0.35121335473220927,0.4269644368415243,0.35932559618216914,0.40500619394293713,0.45351033251350964,0.4665679546462639,0.5135630087956599,0.7130686879734337,0.6635246096797467,0.9367332809005802,1.0755287327670742,0.8988474275766013,0.6220500627262167,0.4994109375825344,0.484345817207289,0.4595820303309957,0.3988888950294128,0.4197276423040706,0.42987247486971325,0.5464887374242661,0.44823686015651715,0.4438684798428848,0.4954893630272679,0.42265296626672627,0.45860978729018864,0.5723817643908362,0.5928541404449763,0.7032598420352837,0.8255974403280666,1.1391014109990893,2.0963953627238876,1.4123700916322395,1.5501028485520216,1.5975825458727178,1.3203759194289495,1.0640643741125204,0.689619777092241,0.6690897471153453,0.607311252557298,0.5239267448827439,0.53263521306176,0.458517007861617,0.4416516351536334,0.40427827208170103,0.39028669107142544,0.44346234744189045,0.45948287565224233,0.45218690319172156,0.4894788203206499,0.5358517797244716,0.5906816210270341,0.5719736981148136,0.5910156873063557,0.703470427854308,0.7795325995432629,0.7277589979685091,0.8502747226348001,0.8169233996411812,0.9178173980680646,0.8476232770912914,0.6599786230456963,0.6916588485268121,0.9491488528929157,1.4506496305457115,1.2611490424150513,1.4436407764945103,0.74116563845622,0.6536039951409677,0.6807674983329741,0.6371315462076189,0.7898180012748941,0.6090277364901733,0.7638011547756213,0.8304627055350924,0.9535703260729335,0.720069915946804,0.7459144595748007,1.0362082065890958,0.7821229232179872,0.8308578307350117,0.5722779404828124,0.48367955701441556,0.48323829636369303,0.5458019747421007,0.5974330299620729,0.7005420825280613,0.5955183893312861,0.5309650542908584,0.5608633339895396,0.5926367760254745,0.5347038693697195,0.494895153182632,0.6593051500871854,0.7469427422779559,0.6531945895016348,0.7181459011656743,0.808248001327083,0.9481530147467929,0.7771431766651572,0.8255597546887135,0.7357338724111071,0.6851461406859568,0.5703986754923251,0.5689530484224824,0.6667340915474838,0.5826595866627184,0.5815218544456034,0.6374635225019639,0.6573190918386275,0.5928604813804075,0.6599004853639566,0.8583293652624198,0.712226380259754,0.7902427097131749,0.8457822623330712,1.1472019594547063,0.9492012695960841,0.8419746653996499,1.002449133005033,1.050151435862484,1.2874427746853285,0.8245072419167316,0.6494485639959443,0.5360648471007602,0.6589061120707694,0.6843921746033266,0.8081470786486356,0.7675002399438102,0.6149495660051173,0.4853879089593461,0.45651087568840626,0.4072566203613161,0.3706292515300856,0.34883256569376797,0.3564273977561023,0.49938375152385617,0.3327828866877406,0.340608064884379,0.35594695330568,0.31608380317290824,0.2902359687329445,0.5573003945647915,0.48577422731691133,0.5450398116402765,0.8172905121593914,1.2327733489205923],[0.37196374678422206,0.35506600241327824,0.3777119191775349,0.3783663532691468,0.48266849790191924,0.39986652204468076,0.4064661654935274,0.3932756115240385,0.42035941883421346,0.3636782889798017,0.3706448621635147,0.48984411888617374,0.3742229421517396,0.42463530335573796,0.4461406683423986,0.4210312753989016,0.4399864664465659,0.4311320590468079,0.5401301525570523,0.5276224380371914,0.6054588262468037,0.7156352599760012,0.8405216119268203,0.9701385803805759,0.8722402370880857,0.7063586530969215,0.5683448162780932,0.48230920309419384,0.4352441177249185,0.3999848178059695,0.4405454485916428,0.4099973266314429,0.4682640381801364,0.4396750274068029,0.3946912170001816,0.408169997954115,0.43296128420598556,0.4696219672387294,0.42958631579779855,0.47652357718402655,0.709887041091968,0.5843781862217325,0.5394426744786822,0.6687093329574616,1.3099611478459958,1.7618278291955816,2.1663574121565476,1.0406007226663645,2.2507668243082994,2.465109503054522,1.800451874521813,2.448844103906999,2.4732087421826994,2.402269152069446,1.442233442135552,1.0569444397964185,1.8718306765138755,0.8178876040838681,1.4328229235466579,1.4689150118473202,0.8770662658864073,0.6941052373251966,0.5334737630158481,0.7091971639905446,0.6651595578419602,0.6180756910076058,0.6371819631125404,0.49953301935252487,0.6561713406835487,0.7091718152829541,0.8164075308431207,1.0144797653500002,0.8716439929754473,0.77851166574935,0.5386720624298342,1.1222012910183308,0.44485003832800685,0.45422756198737835,0.4585350294040033,0.5163039550773885,0.47209469935577647,0.5266535586559468,1.1751460741525628,0.5281076521168061,0.5864994600589234,0.48689089678818376,0.46910485844908567,0.517430063859032,0.4375758099188932,0.5108298170544202,0.44036742451829425,0.6944093286489978,0.5302275629399358,0.4513306551139551,0.4423452327164183,0.5040783507233365,0.5480909507772238,0.4571430339657248,0.4438125536182283,0.6434267719043617,0.46179254776069034,0.5579888936443523,0.4480970461857872,0.4818299437892917,0.5361266780983528,0.5159717447830399,0.6869008322496913,0.5321466095822619,0.5163632028203554,0.599314035075404,0.45246383647071375,0.4235716227477646,0.41541695232869286,0.4308417568880605,0.4068277142266735,0.4610827444900111,0.5620191118873086,0.7176232727269898,0.6012439144994715,0.48567488791464886,0.5061274660695305,0.4445985035461553,0.47581994262549016,0.4101837056716744,0.4165857733187852,0.48826481157382257,0.5380134767804569,0.4521074698193037,0.4531635512570742,0.4612133869702332,0.48824543292170813,0.4886466054357415,0.5468832837617534,0.5501611046830533,0.5405187642640873,0.6094644870986281,0.829517949813863,0.558445491349515,0.6153461041373679,0.551302794783768,0.8037486165965899,0.84704843307941,0.6350402001518194,0.5853899053798561,0.5471323473415436,0.4338979494988145,0.4328494015741636,0.44107538313958106,0.40623067245738476,0.43028936506717974,0.48471589353833167,0.507440249170692,0.8042914165834533,1.331170725230361,1.0863014417622405,0.5275244609637149,0.4374786626727953,0.44729766696848083,0.4019891001725324,0.474210635045082,0.4263146989619136,0.45857464392226877,0.5266240056251285,0.5248304288175539,0.5665199884401872,0.751780656722076,0.7311273406294806,0.9649178960412412,1.0780961819657924,0.9682637727225708,0.6984910991526514,0.5690116503774889,0.5381208362285487,0.5140997008635225,0.4530579827576887,0.4734064362976893,0.48212032177784364,0.6160177626151447,0.5004325353352901,0.5070331631498803,0.5309872957876348,0.4616515342802116,0.49718468866090276,0.6022495805025165,0.6379978561242021,0.7409500826352651,0.8179751927167872,1.1318038811815112,2.143666308459094,1.460898382062627,1.5667337049437158,1.5940413451855653,1.3280513173937867,1.066764872550328,0.7119584194130759,0.6819395532631409,0.688060113173233,0.5208549682307575,0.5362355717573625,0.5024070209847914,0.45619155691317453,0.454781674094943,0.4525866966950684,0.4638522567480907,0.465077820744057,0.4738477941279051,0.5111808732384853,0.5241257867500216,0.5530901697994363,0.5413760103609845,0.5466301797525852,0.6221686102875387,0.6962297588609715,0.666050594465227,0.7644727080832846,0.8045485257264338,0.8398817388519173,0.8046890176455311,0.6150585307521486,0.6204331682819285,0.8794790232319943,1.6019425160485112,1.216000671812831,1.43016180787555,0.6693899583521802,0.5898116762848241,0.637718593982039,0.6136773538643496,0.7254069320388743,0.5677849446705909,0.7485790494512089,0.8054449383477921,0.9475908038602626,0.6921360287212568,0.7556528487218684,0.9162447615971421,0.7388412918335995,0.841843320810127,0.5698215571051884,0.5058149165762488,0.5220164861883516,0.5807667543911936,0.6902008102321766,0.7138216789353038,0.6533073533698507,0.5780310212058176,0.5769495373055867,0.6206626230155253,0.5605184228574833,0.5203688433053131,0.6495584910589688,0.7395530441987659,0.6397184125283736,0.6779583556776453,0.7612243205749599,0.8769528945013575,0.7084138299205368,0.7347994277369067,0.6547072952477467,0.6151515039515693,0.5505664520013959,0.5299448075869719,0.6011869235680067,0.5303689458994258,0.5506220787186783,0.5770039202055056,0.6079964049230221,0.5658122336616387,0.6098454161492827,0.8083929377478558,0.6991229488603451,0.7399285091857687,0.7812141730665059,1.0711776286872006,0.9235798206170684,0.8272007792104854,0.9691351708671992,1.0631416784254564,1.1995641120777223,0.8284584746202269,0.6639531575919779,0.5353771631163369,0.7494090818372267,0.6999600642912168,0.8113590935357741,0.8024038074242229,0.6212095155593049,0.5166248030501265,0.49646668131050975,0.4687745163167709,0.43505049163100584,0.4296789357526276,0.4037877440385635,0.5595115686426911,0.405500105319926,0.3784060600832642,0.37923084429874176,0.37821506527134063,0.34412340451797974,0.5442089164556283,0.46835140900968525,0.5755119913453469,0.8889031475963749,1.2590193191867702],[0.4076300216615021,0.4132946531764361,0.5408849494675747,0.4574387625342136,0.5397183962897782,0.47298170328641864,0.4801081300035833,0.4897304718421926,0.5162292151689641,0.4646813880965289,0.46202040033350417,0.6067732210932122,0.4927942946187155,0.5442257981353148,0.5467767038313472,0.5207520021512284,0.5386621826692835,0.5598704787884647,0.6464491160037795,0.649842898861463,0.6867793839722909,0.7947222281930902,0.9024200970051472,1.0068450122893406,0.9893630779563573,0.78407754985544,0.6832091304457834,0.6198078293971161,0.5770280940982194,0.5253055733632308,0.5103534174097215,0.517932822923959,0.5629126259365329,0.5566243017732885,0.5155218943466815,0.5427216529611045,0.531789484602762,0.5872311375963366,0.5703321031846226,0.614166990674389,0.8762025233981839,0.7147245036768544,0.685114178171208,0.8830037190842241,1.433940697276649,1.962906032996547,2.2454516286541524,1.3019779767319593,2.326000031637821,2.7148911213219793,1.8820648861290685,2.528025197969418,2.5384606396111056,2.4733128815047887,1.5294754163581292,1.144500994657284,1.9181043355102518,0.8855559432142137,1.5136893108212426,1.5467116184621006,0.9508930853134824,0.8158085893177827,0.6502689482331901,0.7797633175016239,0.7751491968397144,0.7265436241295686,0.6739885384273565,0.6021584434289312,0.7260863136928039,0.8343857422374622,0.8503140607826744,1.083471405286141,0.8512144115975121,0.8490878972141921,0.6022242215634659,1.0398962512434429,0.5645907150527079,0.5673985849285037,0.583330423321412,0.6261557241804695,0.6105672579009509,0.6480839997891816,1.2254272889241362,0.6166100542508013,0.6318330469076839,0.6037990745371542,0.5983716577975191,0.6107568032504922,0.5631664591646056,0.5909335757503281,0.5528974578523999,0.7003915615273542,0.5907202341052868,0.5111112086132501,0.5134471970031649,0.5575733386008128,0.5943229413180554,0.5666760862808917,0.5620367636556042,0.6783173821452001,0.5483172465842361,0.6086863084325128,0.5501310342872494,0.5801011579071607,0.7117153832043354,0.5404383196951852,0.7630889913109781,0.5851702249421822,0.5739528304378434,0.6666217768590451,0.5179474553776809,0.5286145069381978,0.4960310954890297,0.528755898742127,0.49992456592493145,0.5642594562244257,0.7336125998517452,0.7968988457357745,0.635173971468612,0.5650843960116233,0.6274738653184857,0.5441305193495783,0.5654379448909485,0.5042457375802091,0.5009981807501669,0.5844619269434892,0.6499150293315586,0.5282170933993228,0.5440439697361191,0.5603896726845521,0.5357466827904453,0.5431767986672699,0.5835089947865463,0.6051859794927379,0.5890506602887179,0.655680672715992,0.8013754498311378,0.6101106354955678,0.6145729043495316,0.5930040184062211,0.8264558745901142,0.8729473633873668,0.6872123586503567,0.6355631793879017,0.6190676891832261,0.5312770494766815,0.5342415816037932,0.5393147038835345,0.5138403461039404,0.5240458478513803,0.53719852165037,0.5731227796272349,0.8678298587866123,1.3334838513972558,1.039053962100846,0.6048012197428478,0.5244696540547634,0.5246759203124103,0.5264726633096732,0.5995025353839506,0.5141289980052854,0.537917415553004,0.551445739375905,0.5617093856355266,0.6167092350550917,0.8021621885273175,0.7198628928753946,0.9565599324993748,1.0788644903067612,0.94067163324082,0.6924425020302548,0.6075365581103568,0.5852041902392762,0.577423367587298,0.5547918509276402,0.5965033395827766,0.5940647974542594,0.7134159724906931,0.5835217172302937,0.5860200768529493,0.6143378720898837,0.5795716288830236,0.5776979270139437,0.6718363759028846,0.694120150875535,0.7992123413664924,0.911925270110314,1.2063462618236027,2.1647829572884603,1.4897731674837582,1.4802608037695695,1.4793009796319343,1.2875086487012715,1.0626044923741396,0.7163960165113972,0.6750704094392237,0.6533937776298562,0.5926837813615792,0.5801568471448457,0.5604811095363319,0.5409201652877307,0.5322769020061421,0.5257967799164978,0.5240492131110401,0.5424455505251572,0.5443451003878773,0.5605678026255503,0.5824335625440494,0.628521092629107,0.6422950442594527,0.6341067627652326,0.711188906425048,0.7890593203384769,0.783053090463443,0.8705306644853981,0.8720092337783754,0.8659800797240859,0.8016605191908651,0.630239450251641,0.6549114281274949,0.9286965319522197,1.5025122969252898,1.2270918707850273,1.433506176157679,0.7285489681392692,0.6637340780221178,0.698317441067645,0.6651809858581538,0.756433304071243,0.6150807402120607,0.781435158981827,0.819947005635171,0.9369718942235759,0.7159241920661195,0.7595541768810747,0.9773953840896495,0.7529208871670863,0.8553204118918843,0.6050690688420819,0.5799499788669294,0.5748954518511673,0.634084283384632,0.7266483801988552,0.7324407967082425,0.6735695103293493,0.6332432927026657,0.6427554048811343,0.648549681904366,0.6024635351830496,0.5780912068565417,0.6770549149139834,0.7515575278676517,0.6817629127943516,0.7175702283433363,0.7677183378122598,0.9155681482014232,0.7657314101767071,0.7880132804103079,0.7298320971070718,0.6939602536762178,0.6162379714296297,0.5937848648000154,0.6628307466499146,0.5936148221806157,0.5995576008568857,0.6264686643946182,0.6436465045468378,0.6008399500762776,0.6462425468996501,0.8123945967926446,0.6942886107188794,0.7563972310545034,0.7819486124374209,1.0546869463257305,0.8956703448083264,0.7968721472700644,0.9396083463620601,1.0547180470346267,1.1435256184391105,0.8050828605286527,0.6723357072929748,0.593610621986354,0.7262389910596639,0.6916973750138777,0.7999084517962639,0.7895832219564693,0.65043389212457,0.561694145055567,0.5439476727866621,0.5330904104251565,0.5054843430240709,0.48972813248821356,0.5125844544413956,0.6305296338136058,0.4806070124305611,0.49073030883045315,0.4892263561963916,0.4784667726369525,0.4549379404161888,0.6791020895666108,0.5772715408952449,0.6002549259571337,0.7697731104538458,1.2065390964986566],[0.26808195105910837,0.24412723028655073,0.30328905328235284,0.23080178304132928,0.3423792769005077,0.3107992618564487,0.3226254725871043,0.36020506147838477,0.40825417584570184,0.3668590192883186,0.3941270690525941,0.543179767027021,0.39748013283157524,0.4739733979868955,0.46060059101885,0.4289284577525552,0.42640804244808805,0.445392050417668,0.5400198589572383,0.5030871279789796,0.5249051085271715,0.6315082109352229,0.7391803569213948,0.8482607539408218,0.8553289522097147,0.6403502616827998,0.5220657651492713,0.4753495210407036,0.4405625730810425,0.4106558446817416,0.43041738072307517,0.4408533392021032,0.5222863772621125,0.4974152742808654,0.43578335070399804,0.41916798368122044,0.4215105850594585,0.4451458007822932,0.41744722083136737,0.42695091657435114,0.703871944979505,0.5701157222171583,0.5112152200195228,0.7380451709477907,1.3037948678412834,1.8524550763207528,2.0621213547857056,1.1409013301592434,2.3234896922456416,2.5741237145701388,1.747118848141353,2.4350528668054587,2.501273794968758,2.4948842074118343,1.4872407819568216,1.0709319400972157,1.8391724308111206,0.7448074770724309,1.5053292756883416,1.346710028897056,0.7909074151483438,0.6358366484000264,0.48556915735468975,0.6385119509050052,0.6066016190192979,0.5488425960467295,0.5425442322028503,0.5127930829697135,0.6578485916581273,0.7606273937673635,0.7873634271372606,1.0370691759436377,0.847688958395037,0.7378751380182134,0.5342859514859002,0.9674318882366474,0.4316009540441423,0.446021166303251,0.44770226053138484,0.4798340769099608,0.4592711727043988,0.5237183636240286,1.1744697742757961,0.4584611027880902,0.4721717699468345,0.43740978251030904,0.4332510329459999,0.5302123113925926,0.42615592178794964,0.5150065676033306,0.4591269087090773,0.6220656693453888,0.5117140661491578,0.46143052318778877,0.46029066210908315,0.5232009682606433,0.5766815206644292,0.5176036155100707,0.5014562755932631,0.6380231940163843,0.4466501740838247,0.5452092532098767,0.4403045554374381,0.4950739122202976,0.5358857376631142,0.4437150900501885,0.6700756172421614,0.4221712946679511,0.4230263453010371,0.511660648018888,0.35752968550020153,0.3456973531619471,0.33148452286493446,0.40177423626021713,0.3800163782679378,0.46246224638326616,0.6088978442480695,0.7058810445689986,0.5335061137526104,0.460601893289934,0.5171878601225031,0.43427869406002234,0.4574756910682433,0.4081850830345041,0.3691718652988948,0.466915848289583,0.5431167011024559,0.35299795950414875,0.3491540390238105,0.3581454455656178,0.3490924049654088,0.3828356902943573,0.3885422866963978,0.477795557575539,0.38017936417255355,0.45830695768695046,0.7128485576745681,0.44036872091042106,0.5762184249265712,0.5107027986586754,0.7612734656467184,0.7399080896455756,0.6260896587070415,0.5600835535996038,0.4724409666014175,0.39249544289409793,0.39105187366203553,0.3882972350234472,0.3487807370473741,0.3844232355429039,0.4234992878608555,0.46262920299187227,0.8061167553802238,1.2969899473426558,1.0157067922689054,0.5193058732199443,0.42423060866381956,0.4330222587411357,0.3875174767981202,0.44415904708459913,0.33606229214348343,0.3925876086195867,0.40734091945705814,0.39518713007746986,0.46298755450983997,0.6241854001799942,0.5494299660450166,0.7755967238884182,0.9151132327652065,0.8021927788869132,0.5349177180387694,0.4128219815650981,0.40766147626470206,0.4008529396298214,0.3710985044021294,0.43216689015895093,0.4536035588508011,0.6322741013091304,0.41701933854467654,0.44463499199606354,0.4634070995931859,0.39443469134129827,0.4111125574370775,0.4995132380560433,0.5013610761674777,0.6142176790896656,0.7780316335316553,1.019682976600508,2.034347696241902,1.3144182707302174,1.250662877378467,1.332014472246467,1.0756707205472966,0.8762565780483309,0.5132241954684313,0.49396635199939615,0.5534893848091148,0.4072856517196899,0.4221683759021023,0.4108020189783531,0.37062280156169825,0.3838592609977188,0.3682297346823726,0.38967492121852076,0.41071822984709233,0.4204337077176871,0.45252675119529656,0.47417602501945466,0.510173604657839,0.49693125271487765,0.511963445081322,0.5706636086186772,0.6522158342708149,0.6436750663523253,0.7016708875520862,0.7550413566588274,0.7499238089826146,0.7470589984214139,0.5684881360122289,0.5573210272644709,0.757019826462249,1.7654460496096318,1.1120443623406915,1.426698155068191,0.6298022676100222,0.5797541351418006,0.6335323344201585,0.6066530847841418,0.6595855054521039,0.5075660763597664,0.7274818460935222,0.7023855051470689,0.8732549193408726,0.6292527536615344,0.7193504380549558,0.7770929690718157,0.6523124972058889,0.7453442638020953,0.47689599689586365,0.42847884655117263,0.4444930406659692,0.5377547149370163,0.6223429664850857,0.7116782657963375,0.6124840270926245,0.5432110478371136,0.5368525249697705,0.5933923255329278,0.5091140733156305,0.4864149318562383,0.6357726853987362,0.7344623858411607,0.6241263725413492,0.6476094986655713,0.7232811407231018,0.8489264872376799,0.6546502795405973,0.6686129148763741,0.6072766953775037,0.5698379419740951,0.5045287617261744,0.48795691264020147,0.5329003179050885,0.4867771568519066,0.504171166543979,0.5226083318102153,0.5592108107565726,0.5128774583562826,0.5482261560919466,0.7399954283177675,0.6453169679971319,0.6396677399308185,0.6824839295641743,0.9714807029014844,0.8334045570196262,0.7744116161335111,0.8816385205685183,1.055431680885646,1.1081899732929372,0.8012409778837848,0.6421304082648593,0.5091609803954104,0.8350594569172873,0.700463516437419,0.768131692962909,0.7625078547897207,0.5607251344985955,0.4312443752664714,0.3990044891226523,0.37019025371433634,0.35421033128498614,0.3480265978681636,0.34339653855564223,0.5354843989979591,0.31605265135159766,0.314719289159132,0.3125503649612085,0.3288958744899735,0.26461141643484937,0.548087055925912,0.46806395911305826,0.5145846887398678,0.7107709603409056,1.158366383917514],[0.3482085107278367,0.2095379122689893,0.29058459848478924,0.24704333396233083,0.24173616551015642,0.34535368236177594,0.3777020613213418,0.39407841306313446,0.42402968770656957,0.42156185236164634,0.44947962612715237,0.5891307507299621,0.45893785631427814,0.5567561114585984,0.5140047130692416,0.4908482441325168,0.4941724347047198,0.5055919235071301,0.5797228256349166,0.5555611887383177,0.563776528383701,0.6653303709198685,0.7546468547356111,0.8552214511069107,0.8546053704602832,0.664675424064224,0.565525029264615,0.5383684761756369,0.4975304805336992,0.4677498273027779,0.4932823609133979,0.49011447589055135,0.5676652910143012,0.5459650020701318,0.4881957590581353,0.4792550277566813,0.45100248916083435,0.49685340446710285,0.4692253056407901,0.4369803720270604,0.7527482309178732,0.6164436132706681,0.5428289458979314,0.8204565702994194,1.3276692387443205,1.9168881233183268,2.0349022398361782,1.1835373786979264,2.4211957815854,2.6113000611475257,1.7393229077633408,2.444027011174085,2.5308126894492298,2.560575277454816,1.4965375431111638,1.0815153902435777,1.7871930031263419,0.7556320280705614,1.5663700640416853,1.2107902272445659,0.7393000227108857,0.6489071713479325,0.5086567011906837,0.6702632521198729,0.6375344791637839,0.5773010531763093,0.6007805326364806,0.5762111583067704,0.7136526522817388,0.7867173191339917,0.8475625347526623,1.0816096033493179,0.9271120479177827,0.755235792733188,0.5895356911119002,0.9209613010615006,0.49161137017820256,0.5177706777584348,0.5002997300021709,0.5247111514513819,0.4788867814820579,0.5572164980368383,1.243984860517253,0.4685097898344961,0.4381720940538497,0.44516854171137327,0.46037159734808003,0.5319459399942336,0.48510280310006065,0.5896702915901674,0.5199808698014238,0.6543307335337081,0.5415478129195981,0.5286330515679246,0.5246619627260048,0.5813379968228859,0.6315981233824723,0.5662578726466602,0.5454435747550522,0.6324290412303438,0.4706339384472082,0.532880371154744,0.4489206091660822,0.46678429406500294,0.49466999575595433,0.38995031695650634,0.6572950929791664,0.3490238315536452,0.37396898367447545,0.4791674557165396,0.27522776137154875,0.32146562370040144,0.3595632091484372,0.4487851230889108,0.4536836046205407,0.5404453264550463,0.6760206348784,0.7791772515614117,0.5701943559554209,0.5302920907366925,0.5779246701036105,0.5174993426914384,0.5539699448083983,0.5199462571203293,0.48425865596824175,0.5250778477594163,0.5847091470622651,0.30030466118759636,0.27796028714526877,0.31317163946736964,0.27184949325942964,0.33552990518458126,0.2944006406598987,0.4224096602980019,0.2930800432871466,0.36302984639628366,0.6536130109639255,0.43776888890908466,0.6430165816725298,0.5695680292825475,0.7999031902351372,0.7360366831636143,0.6402197729835878,0.5977089449953737,0.5075637451725601,0.44402631676480403,0.44174063046533163,0.4376919880910499,0.374766557471039,0.397852736931643,0.39001951792759254,0.44697774033014437,0.8300839638666633,1.294538081027576,0.9717527517270551,0.5186386653389141,0.44081980896708206,0.41485620546257546,0.41461728410446186,0.4499337097886934,0.32770301274501484,0.3941904114896169,0.3930761256898002,0.3692795044750305,0.4379670246195767,0.5659673032620937,0.47812820357516905,0.6922305614581395,0.8144751051806689,0.7520179405255073,0.47162918322173,0.3793130701628561,0.36413711394457354,0.35716816332837403,0.3431265412777617,0.4342072035901581,0.45984937192797365,0.689153414037901,0.40487269487848637,0.42157703872670993,0.40438435034053366,0.34919084815810864,0.33038041203163765,0.40056827370584686,0.4310054054708318,0.5669098563586572,0.7528250900237792,0.955328014938388,1.9562206462801588,1.2780916811822793,1.0996459221544739,1.212225288533547,0.9153580363467,0.7366806238002578,0.3941996437223668,0.4180693979622168,0.5733846579001544,0.3407667568031227,0.3479882044894674,0.3323017906858993,0.3343604946793642,0.352142959242184,0.31007234580583676,0.35146641098404285,0.4036222020552592,0.3992250338157542,0.44556692640397355,0.46342603090031925,0.5022899829136592,0.4849998767591611,0.537008230794711,0.5641176011678536,0.6090308502935822,0.6849909625178958,0.6936321011084636,0.743829974554809,0.7470955416428795,0.7494380805842938,0.584205385428859,0.577252500862909,0.6778450549413164,1.9710506132949972,1.0625814161638958,1.4701517521317113,0.6430731634247462,0.596028402839054,0.6391699623553595,0.6121998304765338,0.6538959430427197,0.475417925727585,0.7133466350605644,0.6222876604952916,0.8307919592580912,0.5747973791710259,0.7361306946853022,0.687320520475135,0.6192240144864446,0.6826324101657971,0.41148100159391127,0.3906987073416995,0.43083563951399656,0.5295945748328731,0.5933339119338417,0.7252631639298431,0.6019134001244896,0.5299742155236409,0.5364015651774321,0.6409368973933757,0.5122295963133118,0.4986750760141508,0.6593187870496634,0.7596070380679378,0.6241376364717061,0.653550001042122,0.7193626617689708,0.8075381051957721,0.6340917709163213,0.6424496813276843,0.6016779206652706,0.5675246584510477,0.506752188384491,0.48466160198435376,0.5352041091170724,0.49557157172400473,0.5091224307324496,0.5192754372958315,0.560313354401944,0.4950095076506987,0.5246558268209269,0.697723755105234,0.6449138739193319,0.6025684637670602,0.6452513016554484,0.9385558037446139,0.789303022947664,0.7577489589518075,0.8364798129199758,1.0474120859043066,1.0746462246794255,0.7963722751027585,0.6647535265649734,0.6027745436183822,0.8879489551878136,0.7162384143119656,0.7350517103378184,0.7285199155995622,0.5348184489236473,0.3810802919446916,0.32286710144478037,0.2774363202203748,0.2732662313473262,0.282810840633333,0.29595014773998196,0.5098584448772486,0.24621488961915813,0.31779844548505903,0.2827678020602322,0.33030949227466605,0.20073666353620007,0.5090212652967375,0.4923212748216141,0.5567651202356637,0.6707384733308147,1.1629805688455295],[0.4998513210910879,0.30203540304376,0.2751537252777869,0.23979157587046954,0.2538257858181371,0.31828163132286447,0.3133795365152492,0.35412394772530514,0.3597669511763565,0.3296785723021851,0.3875924014875402,0.5452741856953283,0.38695683992738444,0.43772318411109334,0.45028471776872886,0.4215088818335061,0.4134999307210627,0.43329122135824205,0.5106550495546026,0.4860699917466479,0.5104610869275621,0.6014267275348657,0.7046648090139381,0.7934671403497322,0.7692190024169697,0.5984460641662701,0.4855902286687266,0.45441566819794504,0.42660758787629893,0.40310224291061175,0.44140272375873846,0.4462467586061945,0.5288988755687043,0.5032511424574417,0.4242051245869952,0.4189827644009762,0.41954464022519916,0.429996883239527,0.3834891410552874,0.39205229797468727,0.6869719638375757,0.5374775417697811,0.47682863144976684,0.7054225944845204,1.2725993799782713,1.795162770708762,2.0028336872514267,1.0285251005726233,2.3430725658439284,2.4539624645019775,1.726125340487379,2.429403831916057,2.5475140461292463,2.5810772138438565,1.4960603226179183,1.064105876771409,1.835377952667553,0.784865880568277,1.4816380931068331,1.2175412500724592,0.7693401637089549,0.634930457981292,0.49075858257902183,0.671672760775053,0.5543834164526197,0.5264699902592622,0.6023310575559235,0.5364911808933268,0.6877260775615968,0.7437832429766309,0.8085806508814493,1.070539040927195,0.9335845294091173,0.7242843653607581,0.5321868394055225,1.040829062831137,0.43015088173910065,0.4772680141104442,0.4508127724142695,0.4624978516869717,0.44801877170844806,0.5268150577373009,1.258937538936775,0.4639522351447646,0.43308067798633265,0.41282179831709676,0.41552889708756025,0.5006311955323062,0.41789117281638904,0.5371200986051207,0.4657765371410019,0.6482214113109773,0.517529110378306,0.4880760779380936,0.4800768365605077,0.5382067812601724,0.5858691587666214,0.518421295533646,0.5017165317523834,0.6634983283957938,0.45387016179095074,0.5384224678147898,0.4507224735773355,0.46073130620579184,0.4877256001747147,0.4356247671175314,0.7088303255013287,0.3857147275938065,0.40886366695234305,0.5310558729299847,0.3108835016233416,0.30889847817631577,0.3088685166704332,0.3701027157097451,0.3506266378541476,0.4274360941598648,0.5836370847438072,0.6849170416719409,0.4727916582072023,0.46998831903746324,0.4789443762463977,0.4166091853869153,0.43513680629717044,0.3954533193911943,0.3697972920008664,0.43829434571120623,0.5394626502654748,0.28725586343158716,0.29453723787862496,0.34439010988524266,0.29661428365317716,0.3754623957263772,0.31766735588633244,0.4626724758552094,0.3195869148655028,0.3884947446105948,0.6690577665097919,0.41078709632353805,0.5805915128193284,0.47764742575602126,0.7219085818820077,0.6476910533194411,0.5508838175955738,0.5089991153100578,0.4301338954544897,0.3769710347440866,0.36207408128855284,0.3692262328521929,0.327374073535679,0.36261634366301976,0.3859102939708413,0.442677769350352,0.857214547978153,1.3430222192724472,1.0343398105784134,0.5133679817818729,0.42758974416085527,0.4117812156389409,0.38687583658664393,0.4434848270281333,0.3074510580865017,0.35754242709526535,0.37189005836569905,0.3578179035359754,0.4218289108502238,0.5521351536005081,0.4864044588971965,0.7021020432941724,0.8266048003564415,0.7709111768641226,0.4817072650300076,0.37572280981677375,0.36862430816473746,0.35310638604653405,0.32464004022949144,0.4240182382090699,0.43034268973869333,0.689764906146644,0.38982359020349355,0.41663000832747354,0.3937067709245011,0.36024049062934904,0.354199862235298,0.40511035463402945,0.4277574494234451,0.5735874869724026,0.7430877422305827,0.9812565013919974,1.9077826066436665,1.2374902623438304,1.1538646329535178,1.307331155180834,0.9610958251793453,0.7633238577927013,0.4098025759949905,0.4208668088225938,0.5742712588271142,0.35057945293002246,0.35313815646635566,0.37597433897216415,0.3592181104829652,0.4006126659254586,0.35517390308973606,0.3457667300560554,0.410620420431958,0.4070744088596999,0.41774295333430406,0.4214733611282963,0.5039261500027956,0.446157991353422,0.49285453954807734,0.5539752710384956,0.5902661620615334,0.6663656965531595,0.6766375863269058,0.7101077196721269,0.7884981492983738,0.7578949223047287,0.5646682503715611,0.5692814679645973,0.6838761547744185,2.002978411795382,1.0606491335904047,1.4253722434548992,0.6155205975389884,0.6096490870495372,0.6834863342635538,0.6144134214814849,0.6621047192407101,0.4735652100835249,0.7431400381267292,0.6006568645422726,0.8074871571270118,0.5764403199724829,0.7498689965011132,0.6584940536761528,0.604720874526374,0.6777500194672766,0.3949313993364708,0.4306321367562991,0.46694919114413996,0.5633305593715645,0.6294214335301782,0.7957491186226181,0.6515209904412459,0.567739860425405,0.5762707195683865,0.7341375760139541,0.5879042667430201,0.541858232041279,0.72382678197511,0.8168259898550596,0.6578027537039086,0.6881618129978049,0.7871016107912252,0.8391533864338533,0.6541243341040673,0.6803198976520314,0.6068607549129551,0.5829884354273476,0.5216105240574063,0.49159039521453235,0.5614478863796486,0.476647772328142,0.48331868803262007,0.4962958974060846,0.5297761097801259,0.45506891714397224,0.4804980198337896,0.6686463201292631,0.6081745672398331,0.5743155189779603,0.631478969910132,0.9417295944235777,0.7797087685781825,0.7392720080626376,0.8249976879816868,1.0029869503850075,1.1425027473689444,0.7950349231589914,0.6343533690522679,0.5376098114132981,0.8483934125600281,0.6858302821533189,0.7228496830371799,0.7160001456413376,0.5157198815997649,0.3805513027238522,0.33307996730643014,0.297650402245642,0.30626196728565025,0.33252070508463016,0.3342937517136268,0.5767694225659504,0.29923853070949824,0.38188991440401765,0.3649994086685673,0.3480059920668233,0.27764453085341906,0.5416424053529009,0.5558294781708212,0.5601803910514547,0.6953310678212924,1.1694745488625995],[0.44537164743247454,0.30914770139695336,0.5790753672323575,0.3734828480007516,0.40211341944110346,0.3375278631121277,0.3215926305778706,0.4079796572478232,0.37333061968269227,0.3633800136798247,0.42956940905615454,0.5911747211918554,0.4441515780159222,0.46220548163752534,0.528925934815398,0.5013762076345111,0.4513315503539824,0.4635715610846638,0.5189850224303891,0.49581101673839334,0.506546275608424,0.5779741137158235,0.6559719209838618,0.7268216947540393,0.7441116379336762,0.5686363243358628,0.47343042528926016,0.4745651257979844,0.46415334134607106,0.44624115770052125,0.519896376850129,0.5417819761102618,0.6269461178319149,0.5935051177478338,0.5273425843502367,0.47305044019114084,0.4763355391378595,0.45686173142598424,0.41671188266633413,0.42340274678180584,0.6378410060321046,0.5239218637333538,0.5022922171794664,0.711179899848597,1.2447966252432956,1.84822921570425,1.9082312545094025,1.1068466154187306,2.5237499685137057,2.644410664875777,1.86792804639612,2.5854734227139295,2.7023688051226853,2.8135051444514336,1.5163512522156843,1.1186010956600763,1.889941552545164,0.8624613534118853,1.4667184821939312,1.1095216861945185,0.7731606342158179,0.676201896890292,0.525679510670986,0.7124793875704193,0.5493553589257002,0.5456758263915589,0.6504033548968675,0.5881983668720021,0.7014422107600761,0.7730783433419363,0.8508382568811063,1.1559975522697892,1.043955913367787,0.7550786080381819,0.6088348413358237,1.0689234674582808,0.48429059857684437,0.5578872231682591,0.5091741003357119,0.5013296784600365,0.4939991882908046,0.5805917661417157,1.239637005411027,0.5843222459874192,0.4769686166853479,0.4527481353858956,0.4572008677883839,0.5684949258625963,0.4711050283829392,0.6209054872369156,0.5483844888076109,0.7296689270590865,0.6080761731671764,0.6066263395119627,0.5795686589265855,0.6388625840480058,0.6876170409928457,0.6105193866873786,0.5954548821550811,0.7242817774033865,0.5490078698296795,0.636517421873558,0.5522903390875559,0.5706468869558619,0.5488529171841531,0.528456559810795,0.8366833659323855,0.5546366703357289,0.5832675366575129,0.5655672070891684,0.46173204485322494,0.3801118079280115,0.34812289119948203,0.37848370309256435,0.38832082058840417,0.4237262548688188,0.5786237837055856,0.6986061165797393,0.4388755392100712,0.4982050761837231,0.46964481136575237,0.4231624247146689,0.4158383725661129,0.3920499742768981,0.36937822574141294,0.42612802341692696,0.5426825408246982,0.3691189395991751,0.4381583061239579,0.4502389424214169,0.466242421437508,0.5003416518419705,0.46579692876543194,0.5361698749491246,0.47006843840813306,0.5009487633935679,0.7718087206113962,0.5117262857226386,0.6425224349387145,0.5188951842685087,0.6857640655964293,0.5881276112245719,0.5140466749150998,0.4943057845368772,0.4318521273510849,0.39482870582775015,0.3755569100709622,0.4076016317602751,0.3569398801538056,0.3830776644499071,0.42891124951920473,0.49248394298602094,0.9257186019291641,1.3192330543360813,0.9711979872459149,0.6066014986274593,0.5064981123955491,0.48680700272018945,0.446085381653343,0.48788690593483547,0.39031263473373484,0.39891781426141476,0.4197739981918438,0.40070287549101885,0.5449984521771053,0.5702913859833452,0.6089892377275634,0.7757240390184983,0.8965907403286985,0.8467079371894761,0.609851072494173,0.47486315393008516,0.48714599298209404,0.469995853812049,0.3982070296059962,0.44562718185088146,0.48544957045616594,0.7428882713500468,0.4497848405068647,0.5257359806422324,0.452818206265624,0.4360441570640065,0.4695994095793298,0.5278517321127421,0.5204977876692768,0.5524321103619002,0.6855944658693168,0.8866341252574661,1.8501007212784946,1.240115220317494,1.1161879638914265,1.1886929134581037,0.9063239683894848,0.7802038126114451,0.5396673449768722,0.5791476071774379,0.782007996389863,0.5820887542568982,0.5623125521827461,0.5301073728166602,0.613818257333433,0.6195332705897328,0.5527938734255758,0.6187290277167363,0.6902703454413783,0.6363918544737397,0.6647983736328841,0.7300131818829456,0.7475313074045896,0.7133677475277732,0.8104575961275062,0.8315883603289843,0.7982490745337514,0.9479311594374275,0.937021502781328,0.9607122515755364,1.0143428349508454,1.0247873995063121,0.8764679779259595,0.884271267204425,0.9163904172885089,2.291564241948543,1.1603457618194093,1.5081996846610861,0.8528314406637385,0.8498467711624461,0.8951498538131951,0.8505013243591593,0.9370563003608758,0.7595241829402631,0.9211903683839946,0.8023682043672097,1.010550534107805,0.7998705539513654,0.9532112324161025,0.8714800443634259,0.8396508783784756,0.8458156017428293,0.6830855989163402,0.6638191472297206,0.6476585542264902,0.7323114068871216,0.771964345612773,1.0405543808974698,0.8212989350817758,0.7599847804778903,0.7951365176850279,0.8739847622451417,0.769016594839071,0.7468488428182113,0.9006401269358872,0.9529565069177033,0.8238507627779913,0.8966518474101843,0.96286495290651,0.9694571847468675,0.8603487422780605,0.8845853548712413,0.8619621509915644,0.8377848259577342,0.7735004416309742,0.7728735170169218,0.8478107780375335,0.7798303512035802,0.7774855277193137,0.8147554318143311,0.8406527160448846,0.7628327073020224,0.779673638494454,0.9392168412315717,0.8924245041108336,0.8416939970309678,0.8951616534785929,1.149149313240073,0.9904526141183242,0.9616448239316904,1.0296647487095385,1.1503573283946422,1.3050662873507228,1.0229895635982986,0.9046941960496413,0.8755512684195575,1.0902741106749951,0.9338660292205759,0.9420312534314684,0.8839909037641954,0.7343884928383932,0.5748131358176398,0.5128399294936932,0.4416225283221754,0.47834139021735506,0.545145483553007,0.5538143091790979,0.5119945871366542,0.47213793579366525,0.6608654091145361,0.47626078878425926,0.35369007821402626,0.4625757953064722,0.4974155020333787,0.6550787744854955,0.6133162862637669,0.8507049870808125,1.4552864750951175],[0.7992003457628885,0.5015516688897154,0.48627338398462516,0.36447920791983013,0.3882811414001454,0.39230284586700176,0.33602185211094,0.5333606694252659,0.4446828113119194,0.38386007122218624,0.4834887464227791,0.7118515221866124,0.5126458976614435,0.3998974936919901,0.5933351283491718,0.6002724040053147,0.4781601062881244,0.4834449347333062,0.4662796116027757,0.4797324835215394,0.4855840656475318,0.5780187870251174,0.6091700022442788,0.6691008880456846,0.6452518027851947,0.4859088554268522,0.42984659868463637,0.4161541714925796,0.46046768510323954,0.5480238853788449,0.629012172972322,0.742128054491541,0.8609427689788907,0.7928990978518802,0.7240140634706805,0.5762187274614052,0.6710162014422663,0.49237398490562884,0.4562562707521947,0.520211502539423,0.6666499195947089,0.5016899816051891,0.5458734025953081,0.6553596437483086,1.2420685082823668,1.7568520753799746,1.919200757767644,0.9909339044361638,2.4438758007632733,2.528041933602472,1.9194255509837892,2.6210609776304343,2.8413075514228403,2.93241311402818,1.643816807978522,1.2085937830374718,2.0480508867480394,1.0457634514967056,1.3267228265652953,1.186283234669261,0.9090038057283966,0.7690900818897873,0.6412233285457943,0.8047054150938254,0.5829605493311129,0.5893961319686295,0.7127327053760488,0.6249556566371398,0.6975710591705594,0.7570880969697005,0.8597681882026987,1.195523284007976,1.1113774550955706,0.8047054448504919,0.6834778391255154,1.2464476843897212,0.5972737231222527,0.7012044447484795,0.6457736153473104,0.626618936045189,0.6962002368614313,0.7117352652898227,1.2197045167576634,0.8044635296694443,0.6655952276674186,0.6097146255224503,0.5918880668366201,0.7923822025154013,0.5790965662554164,0.7950833541068962,0.6749773737535879,0.8912041848007942,0.7596515875664457,0.8007794798749188,0.7227538937937076,0.7823661912588523,0.8006164607805942,0.8089410984519999,0.841080345276402,1.1334928431993767,0.9120522557531938,1.074855393099389,0.8772297549761932,0.905523327396795,0.8485925320047188,0.7688823355658755,1.0278074774651722,0.7636521542702636,0.75194111441762,0.7579707738207396,0.6458516932206554,0.5014042819478108,0.42759171743983326,0.38258395528928757,0.37375591386348267,0.3687801832071169,0.5022308906523523,0.6675271844548962,0.4063430786836427,0.49255112532942613,0.4194462413606395,0.3782541317688567,0.39811158439221883,0.36045919958823874,0.33746961900689143,0.4270814797045097,0.5884847258885946,0.4397465594495753,0.5319773900167423,0.5861418811658591,0.5526733832368697,0.6215419640297063,0.5602429756004417,0.6839456751607216,0.5493273052232115,0.5570135400273337,0.7719311816375474,0.48069736708048494,0.6226488960469035,0.48942436305826353,0.6981000094249762,0.5940038906570478,0.49576934005081896,0.4669124578142768,0.42028241909317055,0.4202436026249808,0.3818011416386673,0.4577007871682808,0.49494328639434726,0.5397121168825034,0.689465295976395,0.8094468078646658,1.1785950125700673,1.651011590516456,1.3760003197119923,1.025187022146133,0.8057742967980119,0.8205837491442383,0.6789870392739823,0.6945764719661973,0.5572768180564359,0.5354094840270344,0.4747070461679023,0.5141223547050986,0.5770331783875992,0.5784086002625924,0.6066850823644675,0.7491167785543903,0.8716204252862241,0.8151274358695075,0.6022783121337407,0.47683899518639694,0.5570534169407787,0.6054358793505386,0.5763964736267378,0.6389778483559199,0.6745456521098162,0.8427434114644976,0.6404463937885693,0.7508117155345514,0.5758859274723923,0.624797904597525,0.6318434208029194,0.6600132954557864,0.6256866796821102,0.6259566589794224,0.6854181490305085,0.9458771554997162,1.802738191622827,1.2573864342664443,1.139762421380115,1.222962185415104,0.9411965830970737,0.8096523022805697,0.6002070354799046,0.6445380439028662,0.7934078010359095,0.6547613132791202,0.6417674864184352,0.6533027228940445,0.7533213843011263,0.8119223390121487,0.6974363223905519,0.7100015406512943,0.8428960627146616,0.794000552184712,0.677847834190671,0.798440879318205,0.9341057606074856,0.7733963583455594,0.8043671657525621,0.9151083576678601,0.9015653269655061,0.8677407825360222,0.9332986700706756,0.9175891472833332,1.062929579941177,0.9955763599300557,0.8961059438754175,0.966587082306289,1.0217886702744523,2.3105862211755115,1.2414658921097446,1.5328825524946554,1.031665346311995,1.05828907522561,1.1001457852269958,1.0255300600992894,1.1257038402898119,0.9046680864953228,1.0634414562481909,0.9113325667735376,1.0508298702870507,0.8856963035734409,1.0058825300713774,0.9407540194684995,0.9003136787393468,0.8866945647526943,0.7550227444037728,0.8037629459018363,0.8131157201272613,0.9028114431710915,0.9955795782890956,1.3320193640512008,1.0973513392306864,0.9927530675872737,1.100322359150098,1.1727513003623946,1.0385693657691217,1.0100895005299293,1.2189635093954185,1.2582415316055806,1.0785238366139926,1.193899348906744,1.303636381088795,1.2549372478473337,1.1068769173321642,1.174145197899957,1.088463808571167,1.1000638175125024,1.0368772570093743,1.024355206710743,1.0572151019909213,0.9375039731911801,0.9443014907154305,0.9534457145826196,0.9345082413519917,0.8387613053060625,0.8653091898349369,0.9768874349394946,0.8822882773499474,0.8741741407099507,0.936675186163466,1.1448582971487171,0.9375377841747891,0.9137265553760355,0.9910100224039422,1.0560339734975905,1.308851731042045,0.9396142699115225,0.8221309729889256,0.7605626855208716,0.9946722802023303,0.8535684801895421,0.8707928992618594,0.8513997606779209,0.7379908726664026,0.5754128155911155,0.5904213412234173,0.4989048432892505,0.5510387935378892,0.759946339591344,0.8554031387265502,0.8143965464646072,0.6524359122783617,0.850007780458185,0.8209097858586327,0.5316500292184551,0.5585151032677557,0.7903930059700078,0.883832073269744,0.9273818480680232,1.161387557615394,1.5207619760900775],[0.7203340925369097,0.43451435893470186,0.37999553200959496,0.3095859455659647,0.39576765076104586,0.4343814464851745,0.42481220252917073,0.5201518822134316,0.4490408713381198,0.4207191219254825,0.46420196558958804,0.5978280091336482,0.4979539151847649,0.44850860957693833,0.598200043752262,0.5574620059652323,0.4990043947690175,0.5350617821594909,0.5577122834264578,0.5584384386890813,0.5782202432675928,0.629733309612618,0.7032196711841733,0.75287894683321,0.7020978614229552,0.5800125566830291,0.5158551597259909,0.5100589092256894,0.5183190043802642,0.5375258425460293,0.5859582619466235,0.5828831810562771,0.6955146685333203,0.6458528568920172,0.6010260103763613,0.5594670606120413,0.5689819523389698,0.5161711105133032,0.501210138972676,0.5224546810540338,0.7109574990093939,0.6103826591388252,0.5932361690178517,0.7348600574044116,1.2835432362608472,1.7582652782209063,1.9693851385656627,0.9723713931832815,2.3843903030051212,2.3298100399028727,1.7675749614352394,2.4000204802279166,2.6505359154902526,2.7346576835691394,1.6400202338896888,1.146605658674168,1.9114802327000198,1.0030583834605515,1.4373282962795195,1.1359580828551343,0.8636281906180778,0.7148466422673287,0.606211396589685,0.8425429501066021,0.5740619281219006,0.6014108362563838,0.7317516293276591,0.6748046418217976,0.761174416174788,0.7947882918334711,0.9088041609551637,1.2552845625158098,1.1385359875909824,0.8634445524040911,0.6713576480945704,1.2014746290485592,0.5786614227930161,0.6291601019265751,0.5787363988660049,0.6033773347377301,0.6240189716326364,0.6671848861528998,1.2992079907489449,0.7112344166080218,0.5805521515960017,0.5557459645822934,0.553810253042788,0.6465897970858825,0.5527052020712604,0.663794286853288,0.6123591334817957,0.7980203852337626,0.6732979988800043,0.6571725600199588,0.6266993563062256,0.6925273060929937,0.7344413036116282,0.6597608432203319,0.6573788863448835,0.8266928141841052,0.6556938481391492,0.7579824894898283,0.6426048699583512,0.6767782138433589,0.6628859534210345,0.6235267141116432,0.8760612919096489,0.5582706144514076,0.5587437928524132,0.6692265299325312,0.4900486728309731,0.4796264330209755,0.46479149183495483,0.46692583771342266,0.4465351805191735,0.4736177576859661,0.5857010512803464,0.6699123900737115,0.47453622635331416,0.5699511005532127,0.4785701960077207,0.4479303647426614,0.4247157279253848,0.44551257547590895,0.44065106395254816,0.5214609566697189,0.6535740577882393,0.45000238401663606,0.4559154862974707,0.5100537877664624,0.4733453893720433,0.5639122476248248,0.464935015960095,0.6208951036751802,0.45628208049965974,0.4667348855606109,0.697221021977003,0.4686115722974927,0.6202847915319133,0.5293424300299749,0.7259345455358291,0.6362673430343089,0.5962217679763213,0.5459587329985286,0.4718778182123435,0.48919113517337703,0.46377567374619943,0.5019174836752788,0.47900428643689813,0.5175113276030577,0.5510975076071163,0.59821281161862,1.0580482283084782,1.394655511993051,1.0832933124332056,0.7198125326906952,0.5884537844727832,0.6081081179074544,0.5352945640735635,0.6566167176390901,0.48411248614400426,0.5326796885092419,0.48407103554768294,0.48766129322082824,0.5164631784019695,0.5966538841763103,0.5006982998935204,0.6375395627233792,0.7542404214601487,0.7237719213659283,0.5049680517972794,0.4403372658575111,0.46885702110024075,0.498652860663408,0.5207527987739992,0.609033313646054,0.6058302660218537,0.8429960053080271,0.5941356605069288,0.6275698919429361,0.5537805837167326,0.5357158896514326,0.5329341183306145,0.5513449688196922,0.554624149213078,0.6669452236239283,0.8051195695262953,1.0583258569504927,1.828187947004857,1.174172624625101,1.0407092529285855,1.2590904634539206,0.8718080810470523,0.7129621098074658,0.48674125481187347,0.5315450537390217,0.675458434141964,0.5056496478897736,0.5101603657971283,0.5544632321418285,0.5491535047726286,0.603308929917723,0.5413454312582252,0.5207194855265324,0.5996887860532911,0.5677258368661753,0.545659253361692,0.5716244889356742,0.651800650946692,0.5696427438117192,0.6160068789587659,0.6726098987212554,0.6520798140213719,0.7465223879341821,0.7854722611032393,0.7705123174566618,0.8966173756116603,0.8252268783119195,0.7076544249014854,0.7325213144867843,0.7740250834812772,2.3312266341028565,1.101288638866839,1.45346946902951,0.7245954996007541,0.754746446242235,0.8269331451936076,0.7945594984226473,0.7957656709850198,0.6527092944511546,0.896862331502759,0.7144769349247267,0.8999740481819566,0.7275625782683931,0.9385976191566523,0.6939818759277897,0.6854630500897066,0.7165746252602555,0.5510282887469995,0.6160548851235231,0.6250656484764389,0.743935034846325,0.8313462163527215,1.0023219207310061,0.857574689030894,0.7504220868909908,0.7785667068423163,0.9200687688194307,0.7911406293921855,0.7042168455436765,0.8977951771666078,0.947846828099491,0.7561477869144497,0.828757361212868,0.9550742734205391,0.8871733344998656,0.7700215850461151,0.820605472516881,0.7570782070367819,0.7472026264804545,0.7131587996809201,0.6919416951458738,0.7306746067113856,0.6443126278810004,0.6758684095313476,0.6630192765192262,0.6784989832828291,0.5986333283640982,0.6215738471824872,0.7479503000654271,0.6957382937402848,0.6379118012710637,0.7280979404277946,0.9640456260800454,0.7895936438360722,0.7794634219682267,0.861146109829479,0.9863918022895555,1.203919090948975,0.8242028590544545,0.681837846089295,0.6490622587208285,0.9017047681709223,0.7530025738665266,0.7655941849751599,0.7894667118471262,0.6195566542980088,0.5058415296910324,0.5022925713289437,0.4768781652262544,0.4903249333465363,0.5011602982570261,0.5404355425908856,0.7240144641064511,0.4670803149116782,0.5795804099166412,0.5763138834405123,0.5131916473356892,0.4204696514012366,0.5502304765032185,0.784761587129128,0.8583974866669785,1.0390612850566752,1.5706260849720373],[0.6284658883867479,0.3970461350814874,0.3214569412887721,0.2942408144557547,0.35638859374800125,0.41602157881743507,0.4090054398218557,0.4727231593886007,0.41777561219161286,0.3883774553724933,0.43569987963673895,0.5613250934335525,0.4570050156034879,0.46482304903357685,0.5452229041730053,0.5068745087323261,0.47534505107071645,0.5147541339726058,0.5553875938838341,0.5497339592699412,0.5718699877099906,0.6691448490446426,0.7394424440133235,0.8079945484673781,0.7465371628916899,0.6150865895977387,0.550121598798917,0.51153118625709,0.4977584378575456,0.5046361662832706,0.5422711067710569,0.5222679736605648,0.6151100755092267,0.5713125904938136,0.5175347374599798,0.5190817247813077,0.5074541152734712,0.5068209659637004,0.48961453545116024,0.4976389520105542,0.7600366972064745,0.6229856295472694,0.5788208743153325,0.7699377743783631,1.3078509058127326,1.7688086019586755,2.0464276472843643,0.9555180838750303,2.3123290433725914,2.2756919838463885,1.6729593854495795,2.319733877533352,2.55489690267158,2.5945451777334583,1.5987502958575415,1.095405197472001,1.830954065432255,0.9043674781486566,1.4773971323206407,1.1540912479606944,0.8316530434609197,0.6681860433709838,0.5484155303951562,0.7935062002400028,0.5909011985726331,0.592102298182331,0.6873435651415483,0.6405557168112668,0.7681581370283376,0.7919372805393171,0.8630159637347462,1.1807967901718903,1.0520553518330609,0.8150804326680879,0.6040543934760036,1.1179249226091017,0.5333158972483607,0.5729776258323671,0.5260643466558569,0.5392015161185613,0.5554726937823522,0.6345316890185266,1.3417147144612822,0.5846605879239405,0.5482429224162049,0.5170008449362857,0.5086714406207541,0.58363149175026,0.5082399445688238,0.602868644624708,0.5601101016519853,0.7374288737809824,0.6117473250439516,0.5849077949107695,0.5740400884931938,0.621372411783025,0.6859243176064842,0.5886403382150778,0.5742703367402704,0.7069502679654053,0.53617120950759,0.5897725546058038,0.5244445319498309,0.5515913444904516,0.5689468942603685,0.4951847637624434,0.7460787024752761,0.4477172033827672,0.4716608499466738,0.602772314047298,0.40538950485538733,0.42102394626338635,0.43136602195741913,0.45883706867805313,0.4393502721027776,0.4772928034791412,0.6036503473610519,0.6811306435883246,0.47655630113776454,0.5659596251146563,0.4982020017209499,0.46196709287291515,0.4617698616166426,0.4518766036988943,0.4507813965171028,0.5219304841830653,0.646757653875578,0.39916804783717064,0.39877311621933675,0.4461754072790725,0.4053320332309618,0.4961600741339362,0.38773740973840637,0.5650961433483953,0.38659989159751335,0.39984180006605424,0.6738530644569158,0.4462864352201658,0.6096541347442958,0.520696071201565,0.7458927036653699,0.6746712052988527,0.6095381109538854,0.5443028753851511,0.4744712795195071,0.4735459027892853,0.4443966369459208,0.46014197997237843,0.43989475142911916,0.4710121199847414,0.47063730894326616,0.5159489438353789,0.9858502990647272,1.3744324443993137,1.045805715539328,0.5853492519281112,0.5004507652114203,0.4812310698600182,0.4573802230281154,0.5604763579217774,0.41131362518469905,0.45846927943261506,0.42387054030697807,0.42558446470205347,0.4465198278615043,0.5917726517999922,0.46018417414926027,0.6271990218341463,0.7474325884119314,0.7174335156231678,0.461601548157872,0.4089061417515148,0.4009026076493334,0.4225296278920125,0.4437850287707615,0.5442798597904225,0.5298631630109347,0.8109459149651258,0.5121906023423333,0.5205054282338074,0.47912717975378066,0.4650706874442007,0.4458340223235569,0.46440355238707254,0.48663259340434895,0.6309522464012506,0.8102898434827773,1.0803806076350115,1.8332213528469665,1.209613635383056,1.0971599534951266,1.3189978762228922,0.9187536880932853,0.733215300845718,0.4491065606683044,0.4985249229743522,0.6419929116173161,0.4364918491009445,0.45637216968614785,0.4925011817529139,0.46335743704023796,0.5090292133014902,0.45813132220299385,0.4453447242485238,0.503078912534694,0.48955433895449924,0.5026712999013411,0.4990720936321929,0.5685861404930554,0.5083700042973316,0.5515269478091696,0.5984111597197174,0.6001075513834592,0.7057095676031261,0.7181948857349155,0.7381365911812741,0.8413899592741567,0.8007164923608493,0.6408857901167754,0.6498459877940986,0.7295043796662607,2.2334872449221574,1.0689760211573327,1.401596738917735,0.637556352979501,0.6585118215972133,0.7510596556245708,0.706756966513487,0.7130598248165958,0.55029759847543,0.8223205830566508,0.6392260487669524,0.8225785928019188,0.6295815065136173,0.8440094734182644,0.6543714991171091,0.6541504627544488,0.7146489373912465,0.47653209177050493,0.5276611886344326,0.5527787190486229,0.666887338248707,0.7641844295636201,0.895573997066196,0.7761283186307113,0.685979785518008,0.6731762600175565,0.824695584652943,0.6809080058773379,0.6183426254840809,0.8054465996834123,0.8803863443696662,0.6982307344651972,0.7401918258699597,0.8652862413813394,0.8433566512652586,0.7000528081559804,0.7381721803203132,0.6703729624978471,0.6483694468109014,0.6076521419515296,0.5820741771010396,0.6369557480919424,0.5537818761104235,0.5682051964269503,0.5685691799138974,0.5952233551539896,0.5216307705670775,0.540693954729206,0.6997820469670962,0.6463952923993761,0.5987152978641047,0.6804680706488717,0.9481804802773063,0.7818383889090827,0.7644256270102301,0.8529000339264227,1.0030772617189718,1.1905847719402116,0.8160722453109284,0.6615094528981779,0.5968465788170005,0.8722503084228332,0.7176299362460803,0.7415409787675106,0.7638801576784525,0.5808971402367061,0.4612732890350414,0.44629377097401096,0.4335716640879209,0.4246742390370351,0.402934828797262,0.4390829044903188,0.696636401604521,0.38034312065398085,0.46950137951942983,0.4700610540689978,0.4694262036481258,0.33899290232350626,0.46611555518820635,0.6695904778255158,0.7024368490372261,0.8638244838022525,1.4056953342709804],[0.6229747120788842,0.46099960898454606,0.3527386447804711,0.36643704520878484,0.3816327220582008,0.39158511484874453,0.33542104438309017,0.38890986946667633,0.3346559097641294,0.293882595714946,0.3602427283819715,0.4773222661900974,0.35149935717793485,0.3642380347817011,0.4806747740996692,0.4245748847528202,0.40194108076575724,0.44946980976149115,0.5055308929694194,0.4811347314797651,0.5278386629066568,0.6150519186591684,0.6922945928745668,0.7892613177837741,0.676229605575096,0.5622229712305088,0.4832749882155164,0.4200861785788639,0.4151794445410384,0.4120985147002592,0.47583204257102424,0.44951288738803236,0.556754656545195,0.518271097992508,0.4460573398100209,0.4356144328237545,0.43430724810916327,0.4269221507605955,0.4005800782925781,0.41691483995077017,0.6878089341617336,0.5436468030859473,0.4999780326906123,0.6414105698688375,1.3165354207743023,1.7317807171337136,2.1152530958480846,0.8544102833436584,2.235587393091018,2.1682116145856343,1.6826844876157014,2.305931139662332,2.5521436799770028,2.579664050974564,1.5749133218231213,1.0432206433125153,1.861989338854319,0.8996493893384085,1.3731877983105194,1.1441448964545233,0.8469941998980551,0.6512401812880712,0.5107024979235779,0.815383676926776,0.5552511149552233,0.549024292743182,0.6907968782132684,0.5996393022338544,0.763406913749167,0.7498500736209823,0.8477945695183903,1.158476996630002,1.0361745696081284,0.8170927381785522,0.5681226066704652,1.1680174386810056,0.48347102955064564,0.5128437844733436,0.45785281837049324,0.4654534397326655,0.48908286972714066,0.5662531914989196,1.2890169533459588,0.5320252610271315,0.5062399513859184,0.435137784695629,0.4366451246434906,0.5106372322602047,0.4335508860454246,0.5474986603899434,0.5126674421644444,0.708328136770921,0.5633145026317898,0.5339817587658057,0.5103801573325101,0.5951570053892637,0.6402907962686086,0.529591094734183,0.5093675300057077,0.6776877591400181,0.477693973324537,0.5546874230238943,0.4589342174656191,0.49528961044764946,0.514102333139666,0.46169735815115054,0.7281918073326209,0.4261825652183201,0.4609313120764735,0.584666615472731,0.37813900595199507,0.36270752118617716,0.3507101428319703,0.37304363162605114,0.3518668355922094,0.388096059674992,0.5033943033587643,0.6363905522478419,0.4519781239722021,0.4918179716433837,0.42608764098340035,0.37660673939362566,0.40327013027904696,0.36913659978157587,0.3640798469123025,0.4551448966162729,0.6102051302654192,0.3695965534209493,0.37650921414483035,0.40396339267493286,0.39720571977969393,0.4604400663697638,0.37208337406118097,0.5305722287807335,0.39323625079702873,0.42819903334111825,0.7271789192153164,0.43903488201765917,0.5704017405619324,0.45529134475377986,0.7139224306126152,0.6796506860235726,0.5523527873405121,0.46464965277914105,0.3967429769493258,0.38679860029966345,0.35892829690529365,0.36846184464873916,0.3648355834769346,0.3980484952470717,0.42015233172612654,0.48057407302338995,0.9868592451681865,1.3719762134574534,1.0565196789990063,0.5556265665591162,0.43130684283650234,0.42251593612278726,0.3808764142451565,0.4954940547971562,0.3638231790058936,0.39881201174386066,0.3924498746018087,0.38622402275448403,0.4279246308956541,0.6055149261877836,0.503329599347664,0.6947393330430145,0.8271021325171997,0.7951056380708216,0.5136421538737171,0.4151216071405556,0.387989262608279,0.3932617630444667,0.38233036303080736,0.47348260434352313,0.45508259839851767,0.7278125947246401,0.4452554480311904,0.4669385554701426,0.427888037950507,0.41690378647919657,0.40704167350606146,0.43427361055787317,0.4623282693764751,0.6116278302008046,0.7689683367632393,1.0925411361556703,1.8101719928921147,1.192531154092602,1.1986823496409118,1.4011307413356253,1.000992609069413,0.7939206712127829,0.47616652375148116,0.5127839557856527,0.6497174653182649,0.45045836095358777,0.4955565468884193,0.5003131529706516,0.4796663888145277,0.5011315383037114,0.46222546996208147,0.4786110212733346,0.5175012803938712,0.5016298201301025,0.5435020340941286,0.5331024938171546,0.5762230378366274,0.533552580403471,0.5897612518440897,0.6205859455352132,0.6121218159947839,0.690283528025032,0.742633031349105,0.7657178045106098,0.8298199257573486,0.856418178976534,0.6827273565366169,0.6713488617854849,0.7735861580919441,2.1341903362828223,1.133616913937177,1.431189762957514,0.65900601458543,0.6627441270012759,0.7545667525868363,0.7187501859451725,0.7321223258839392,0.5764754555209252,0.8186263156715651,0.6566741281720736,0.8584586978465094,0.6599054631216862,0.8359630584240247,0.7381065250611398,0.7033702554046802,0.7600834437785519,0.5120389496152516,0.5043704382292753,0.5477798026063775,0.665680958115553,0.7428422532730614,0.9008227537678297,0.7540434777605513,0.6708287907366777,0.6777139543029452,0.8365649281668416,0.6737059019368143,0.6119281201415501,0.8075372660584003,0.8763472055617505,0.6905352266062316,0.7416082483177904,0.8696407280003748,0.8478648718559975,0.7101800645649353,0.7626359944200135,0.684828776084837,0.6605064068077778,0.6110131035894043,0.5929551101423695,0.6526441349076884,0.5663336348230594,0.5761917228734598,0.5929560679079406,0.6216333834057407,0.5743099408711391,0.5853110833650808,0.7415112273063702,0.6870037064401531,0.6648286223043247,0.7297598060387352,1.0274473178290549,0.867365616893429,0.8463278988387598,0.9449378714370669,1.0612469813673553,1.278280172531812,0.9021716923661998,0.7219240182310155,0.6347765019621477,0.9115934244172731,0.7820010894672569,0.8290622668738158,0.825265540569891,0.6403783246034123,0.5094517513715833,0.47705503034009483,0.4452421221991266,0.4411576980388066,0.3823241470450569,0.41023522334667073,0.6848858762936298,0.3603085962966932,0.4424419765019304,0.452469305688957,0.4235773905227682,0.34759619433392364,0.46791267796026387,0.6646732550566935,0.7305222226520953,0.9465333026542285,1.583382381428586],[0.5521042320565555,0.34748553065748566,0.31421149299205897,0.34899933077653417,0.32760773477290994,0.3548934807719667,0.3171115075851422,0.3702227177189109,0.38058948289490885,0.3487290805408664,0.4132623934588886,0.5065922996612633,0.40120829943939457,0.3951309206072283,0.5096532993261005,0.4592089757444601,0.42962672850073713,0.4862093588339141,0.5632958021335795,0.5236147720185383,0.5786509665386044,0.6446498724333402,0.7557139103858246,0.8314708415688472,0.7195353218758747,0.621046702878759,0.5080432540331767,0.4647086055812536,0.4510696856090848,0.43791936376280244,0.5230498698060492,0.47941863642834226,0.5820107497456338,0.5557167095469526,0.4727894967788369,0.4719188196781602,0.46091237627000975,0.46286884027099107,0.4183278379598743,0.4182948063319745,0.6625712737819993,0.5642925484277496,0.5232535270734557,0.5850317928549852,1.3555966727775755,1.7230221870634936,2.191468229097968,0.8240234182459356,2.1987209752772747,2.0341767109663884,1.6354547604587648,2.2374977499352573,2.4383372054503716,2.4491990489425586,1.5078442041510247,0.9721284901828827,1.7948523638665699,0.874490640615396,1.3683478582314141,1.1068044205696435,0.8572381974651789,0.683909326497469,0.5593117526296605,0.8579192436938302,0.6080793654539234,0.5877999171814695,0.7299276591577158,0.6393676431178952,0.8073924639857263,0.768302312504518,0.8803142829184566,1.1691293415651005,1.0331258411015962,0.861045851620198,0.6170952488872611,1.2124339967664621,0.5336918053909014,0.5646195456742475,0.5096079845181835,0.5106709397050962,0.5077368424365153,0.5501258850329833,1.281791768341192,0.5241859769532888,0.5105129453081206,0.4463996997860146,0.4581444695034905,0.5211727848928388,0.47958730196748034,0.5733101463345414,0.5654103259771001,0.7445185780379465,0.6132675227677976,0.5645611871477157,0.5435494706045598,0.6200184198172667,0.6605760739898892,0.5369097180979695,0.5098541904966837,0.6827771720269108,0.48696656476702044,0.5366726343182331,0.45726921829032063,0.49683904159442355,0.5185991913700074,0.4918777032308727,0.697468685202644,0.40410144950583426,0.4347361974544257,0.5789173889203365,0.36683475333213744,0.3527835212505531,0.3353363671550483,0.3811169979372342,0.37701916501585353,0.40015286698043717,0.5038548501579979,0.5740833811639288,0.5295598427749199,0.5248209609943191,0.4774192960141706,0.4245316495151308,0.4005821264898566,0.35707760820680123,0.35066496265548974,0.38218072175314843,0.4720512255539672,0.32522390902695547,0.3201220561684002,0.3767315921505765,0.3463270208087246,0.39476113877294017,0.3520460991090688,0.4868757906487049,0.3703053252511351,0.4144753477440137,0.7117493632930615,0.43046122012528687,0.573364561082598,0.46228487536284824,0.7134264734387458,0.682675898290899,0.572602336421204,0.5178318886509504,0.4187132245882517,0.40120420579159877,0.373670348425934,0.3887251201571922,0.364621180519101,0.40758995532923303,0.42309102773759594,0.514707146152889,0.9997562842390105,1.4401391075822958,1.130997735133468,0.5812892820455915,0.441534719422667,0.43558776429562185,0.40186815995167213,0.4761340522019796,0.37865975094875925,0.40912647062243657,0.3936908826196233,0.3892419286684581,0.4249137856479013,0.5762472799298135,0.5061050445529635,0.7216355528062242,0.8361891066480405,0.8222547230527735,0.51242915736488,0.41024640273142293,0.39557862291476165,0.3997690361124085,0.37767467794855303,0.47200492296440216,0.45986245862813574,0.6930237968368927,0.4364826652202051,0.4656431617451885,0.4105858061019777,0.39974635442427564,0.37715096445069307,0.4091050306616504,0.45070714814150664,0.6096235822683624,0.766215100250004,1.1028996184676683,1.7764411330767163,1.1510961441885976,1.2898434694481853,1.5618971114296378,1.077938294794499,0.8186096866980147,0.4581323193915886,0.4941080137110783,0.6723834600072571,0.39800969483974213,0.41088798610298904,0.4283206194338432,0.41617443831804296,0.46027710345928846,0.4087641031246237,0.4112880251059321,0.47652188997460737,0.47131416145514254,0.49777653728450894,0.4934124914725311,0.5552908150809079,0.5071765402601451,0.5475006548669941,0.6034307594143656,0.6108671613115387,0.6835826230074439,0.7083013564758581,0.74464421248886,0.8304377307742502,0.8095846666517432,0.628086341196129,0.6395334329546424,0.7408291832357544,2.157120287894644,1.0479704258883296,1.3603786238686473,0.6258821007955898,0.6465772236386959,0.7260436572770189,0.6802744241387728,0.7049703937571296,0.5193446155366154,0.7762945909270843,0.6211922608921373,0.7977614306324787,0.5908441725218256,0.8146688730137216,0.6706519479380708,0.6462187304729456,0.7499697389791358,0.45248256981811,0.4790371407945962,0.5236612794404982,0.6257924609674697,0.7302711855701988,0.8874610586534712,0.7647584523639226,0.6542107240981462,0.655893184309452,0.8098806391567531,0.6556473686786014,0.6185003122917583,0.7990195859525353,0.8755544232443684,0.6952921856983446,0.736439009884305,0.8615303902146267,0.8377749818065899,0.6980123091833906,0.7382684211347105,0.6635920774773818,0.6347550859615205,0.5849557530219869,0.5584280259004907,0.6211073586248193,0.5439784498485456,0.5439552310632432,0.5519157245224207,0.580599881977475,0.5074318251143969,0.5240481803448916,0.7009574035911771,0.640477421003825,0.6140809287565309,0.6668276350151905,0.9875150600495648,0.8076465190530802,0.7670749742250096,0.8851023719281434,1.0317656888768096,1.2131789429116207,0.8190495673244093,0.6634555340684466,0.5626840726195159,0.8242219839038294,0.6866210241467877,0.7355125227614133,0.7287171468492083,0.562637357262374,0.4163216663179566,0.38913273221037,0.36094455067768916,0.3675081600680374,0.4020715037639461,0.446878954503039,0.7589079863066512,0.37258033227304044,0.47719267124182563,0.4994948834770554,0.41618209137257806,0.3999007106477949,0.574920360037369,0.6221031872982155,0.8338645098598888,1.1991220908705873,1.9384504506767113],[0.5764161760057077,0.3773150041326212,0.34052500974831823,0.3854208574508674,0.33234193485163316,0.34154308426626856,0.266212397892884,0.3170348429846903,0.31666848007739024,0.27297757098306275,0.3410060861888042,0.44317325562455295,0.32898329591822956,0.36847762432694786,0.4524494910970773,0.39760053998115047,0.38723506188642104,0.4577133009771956,0.5317417482183613,0.49848529687448445,0.5496822884271587,0.61815945239524,0.7141759984409284,0.7999484548113034,0.7029468513183947,0.5885211374858107,0.4857527950312836,0.4256493347112122,0.4133635793956264,0.39179071079885897,0.4560139551754624,0.40376985905483276,0.5109487255648629,0.4789831096034316,0.39715551683913003,0.42285376800609953,0.39411766848519947,0.4131736900929901,0.3765400935863486,0.39069768776673586,0.6543597193723071,0.539536663898549,0.48518809237484456,0.6039599405503956,1.3354792247335208,1.7328199226623278,2.1623136660497346,0.842510667319177,2.200750143699634,2.098944970678478,1.6626001416198342,2.264981506895606,2.4788033304907446,2.4959580284878755,1.50835578158721,0.9934542497082738,1.8533035272191023,0.8313000137855681,1.3306984492042164,1.1857778630927518,0.8600711339832635,0.651732382679281,0.4957912306911432,0.799528858055677,0.5690098956411871,0.5468399659128222,0.6671084101601095,0.6017422444146124,0.7636313407928108,0.7813507256584963,0.8192349146981636,1.1052807982463582,0.9510134153590347,0.7901700220663884,0.539699929790308,1.1475763273520394,0.47424743495174504,0.4869247581938892,0.44233615579557123,0.45645843912464706,0.4457271908595972,0.5071535589454432,1.2520932071430069,0.4670847346878234,0.4798968300347897,0.39180043756079364,0.40865917261999785,0.4632620852244494,0.42190756066925056,0.5153574017767731,0.4944763342682658,0.6919523812018759,0.5421220281823679,0.4852302331355873,0.46797033887274386,0.5355305771815771,0.5860307181531013,0.4739930125042763,0.453102537999945,0.628860573463149,0.42125859087380957,0.48971464638659734,0.3923601246404997,0.44215362353466675,0.4641070741824708,0.4575780192946837,0.6726903503737697,0.38633450082259707,0.4123466416584565,0.5615962671433808,0.33172732816013617,0.304234478532563,0.2871404214291175,0.3242618452204763,0.31812731907814135,0.35244791713967427,0.4824908970870533,0.5963474512062139,0.4585521432459319,0.48109319393139016,0.4388202263075557,0.38062781358404224,0.3759980896162868,0.3180248238692339,0.3019991528296924,0.3610363640745454,0.45929413410275616,0.2917351979548621,0.29605436630161575,0.35296448719237505,0.33076324967488424,0.37471918831292966,0.33268260149536005,0.4705252832326135,0.3508109102237738,0.4047691597798316,0.7054779698499344,0.4142449986908091,0.5554158768597156,0.42536698423140284,0.7031675177322829,0.6674349398104636,0.5425341202347403,0.4652246527417129,0.37585869146762546,0.35553489852655185,0.32256709635516906,0.34108377132830786,0.307529076955669,0.35521398980074775,0.3799383249579882,0.46377911872674854,0.9150184076272311,1.366589643875445,1.112428033086994,0.5123953628005512,0.3861672791040129,0.3705829023008209,0.3391129232562413,0.42638012953133103,0.3215886878195122,0.3501415431954103,0.34240537980777547,0.3441394267109866,0.38407776958004364,0.5540399353244964,0.48813808107303464,0.7098218213881862,0.8340907326685695,0.8139724085295951,0.4998246658249971,0.38344800276831387,0.35600063194835,0.3556824055776889,0.32470758463429356,0.41551804017211336,0.41247026031261547,0.6390208567117405,0.3904239192368049,0.4049324833814276,0.3749201457271844,0.3615305552201973,0.3427295460526229,0.38779804025004533,0.43236594355159463,0.6043760919574986,0.7702846305892205,1.103984005797425,1.7918574263477414,1.1537085781391638,1.2812760453653396,1.5576527632168424,1.084487951046897,0.8229417447012968,0.4511500592016644,0.47536362272225946,0.6492038886712039,0.3909234285734319,0.4113157730637891,0.4261741586406628,0.4136590739154362,0.45043843590224947,0.4051680685707647,0.419342960603008,0.4758988797506901,0.4765638171116316,0.5146609382088875,0.5097823845713907,0.5671756741286684,0.5302859910049394,0.5679862212361777,0.6169567089107254,0.637343211198854,0.7115419817223128,0.7205624646329843,0.7608950820042021,0.8359792883942482,0.8071135442311388,0.6319147492023975,0.6396761483666655,0.7488465551835727,2.1649880417890843,1.0447511173000237,1.3305883315993636,0.6297705560419344,0.6388086989490599,0.7127246995953586,0.6654398293554422,0.6981862870481389,0.5181461899141397,0.7623946888996305,0.6323787404853006,0.8025219969382016,0.5913529235635915,0.8105922802165647,0.6785312565604056,0.6481486813619752,0.7490684188763235,0.45417289927697513,0.4639061055495769,0.507841726055478,0.6124022831694385,0.708193037258794,0.8393577400586382,0.7342855858689269,0.6288953527584878,0.6364708951739301,0.7798404925670058,0.6371506022970683,0.608181180743581,0.7796370455725798,0.8633165191722901,0.7019007122935605,0.7331889248940219,0.8478998612768559,0.8464963599549413,0.7085889155399945,0.7350445647574316,0.6710823939685705,0.6341752308314075,0.5778440091338923,0.5516899888718941,0.6186754669796896,0.5520602388253827,0.544892871653895,0.555627873254327,0.5852275022409156,0.5127205974448092,0.5292841410108879,0.6978217474940004,0.6436016531434792,0.6185978530825204,0.6579891409322326,0.9779297512135462,0.8025728543598996,0.7607269169446617,0.8852010950903457,1.0474943715685479,1.1643229215110888,0.8137099556909808,0.6711700314471711,0.5756511042512668,0.830279385891595,0.6872685976000664,0.7275814621617213,0.7324105496817985,0.5737563405191317,0.4275389609900745,0.3918575956725492,0.3564327171066268,0.3673308542156505,0.37646985494267104,0.4244132861168805,0.7410882255283576,0.35297444655546223,0.46672775742052797,0.48410087561373893,0.3812844623050869,0.41793488087568675,0.5884554954550323,0.5698440506791873,0.7608619397693892,1.167622175651301,1.7811518234134764],[0.53188290899497,0.3771873403814942,0.32924108269968594,0.3650013874114923,0.33424731807986674,0.3334945569320426,0.2863349098713347,0.3201848274177657,0.35873786847404504,0.30374797795380404,0.3357471390429759,0.41701991018802165,0.323908856330861,0.34301566361565355,0.42659779817424126,0.36992062312283025,0.3893399953469428,0.4278491840258374,0.5218867581504888,0.4834353868730105,0.5373509348766782,0.6167375649292673,0.7411241804140013,0.8409202191716658,0.7318906873976909,0.6173325057007067,0.4978060636444496,0.4295017674177375,0.3894180203976865,0.3683517549896586,0.43683305362949987,0.37513510186298843,0.49364572493520587,0.4368933069023938,0.36716199642591213,0.3997889871623147,0.39555682000829834,0.41577824547666725,0.392351946712107,0.399349613804505,0.6522862583366285,0.5501025765720583,0.5143705565297952,0.5848221677810956,1.3944835299064697,1.7400265167565259,2.272168036868688,0.865773979900015,2.150087785634201,1.9866116148449533,1.6434114632390329,2.205532104366309,2.3770973953281973,2.3472993660700925,1.4567644057462474,0.9222347783404885,1.79745008122121,0.777406326731064,1.304579004040955,1.2115155973757108,0.8796539947275387,0.6238898775614238,0.4733317340616499,0.7789601759264708,0.5791910096389437,0.5287745081514362,0.6597868947413994,0.5498105896409445,0.7249072982933945,0.7003980283275091,0.7977725631546311,1.0497265898713088,0.9292118290812142,0.7722611486176717,0.5293947957046042,1.1357882460877446,0.4505684153685426,0.44332810815787227,0.4237811530363427,0.46643437590368964,0.4323253397190815,0.4958483337266198,1.2224220781205888,0.4716637608703256,0.5209506289370146,0.39481488465017206,0.4099639113228681,0.4690780111488632,0.409915884248042,0.4668369349440138,0.45717200459953794,0.6583494458680095,0.5214825412091906,0.43275935075102445,0.4143819189581471,0.503551873627022,0.5394582158227551,0.44221451672275214,0.43083867939280046,0.6196239353870984,0.4287524934881996,0.49816343923948064,0.3924161250596523,0.46240051616242267,0.4899013292923217,0.49292038426654694,0.6343469140325173,0.4157131723593524,0.4103018956297049,0.5423224263434103,0.337944213905509,0.30734891406347686,0.30493075457854313,0.33747791876649624,0.3350550687924773,0.3688348137303522,0.46292341392402375,0.5406156998008019,0.5373173852793315,0.4676342878217123,0.4360566781889013,0.3929549116079688,0.3727656949186557,0.32172785398231235,0.301429411867961,0.3434583249007151,0.3738187205122043,0.2980009988398449,0.3023630549207483,0.3528610359540059,0.3271543567514543,0.3380523725170621,0.3637674680917038,0.4676332933323156,0.38183226713043444,0.43869647859299377,0.7100410084890836,0.42448207393219184,0.5477752107829827,0.4445482140574586,0.7208118836705751,0.7108860521938317,0.5710140773893271,0.5116454377589282,0.39476592700203905,0.36795154151722453,0.3449884400390373,0.3653054593463696,0.33480748735431426,0.37905919038995256,0.40540398060473753,0.5103084465112439,0.8755121912519419,1.3873580606292981,1.172559721030069,0.5398920772116935,0.39641780859134007,0.39405733225117434,0.35137884427100086,0.4149276818612549,0.36397364970307505,0.3796940488998233,0.38076477066578723,0.38830143418859026,0.41316957448981756,0.5665435470559067,0.5379481447322633,0.7634074727555601,0.8837729172974166,0.8595265463313603,0.5386062706060739,0.4148851176827342,0.39993626551893885,0.3902028748459633,0.34861505052435776,0.41719919902885516,0.41605571078708425,0.5865807046760604,0.4017489405614398,0.4185791204688419,0.4001546581093791,0.3690626193265775,0.36865923614514734,0.40933724528915855,0.46322091471904925,0.6276303856196784,0.7742415660517296,1.1502972953346706,1.8015908234104696,1.1819571793496944,1.4214562797318184,1.7210033458854153,1.2062240068200103,0.8943430483433786,0.5064005567074938,0.5147795506396079,0.649221130247971,0.387593547461839,0.40203972089254003,0.38920202163248896,0.3688743221664064,0.41389278186315426,0.3685421234219199,0.3861505475061681,0.42936695012860254,0.445835361403517,0.48672402567408196,0.469505539254916,0.5218239005412685,0.49124081694966276,0.513467574577456,0.570564226438099,0.6074900657109307,0.6610438729068403,0.6821699503041586,0.7258883861589276,0.7910306104294113,0.7420953951707729,0.5723725984073368,0.5824382675750399,0.6902994533870346,2.027991251076293,1.0002041639132575,1.3819233184733273,0.6266289623953186,0.6187623755812399,0.6857046068360021,0.6490868147552267,0.6429069929458634,0.484661308497789,0.7122713851652406,0.6355555116926722,0.7749405471720743,0.5516113274573592,0.78686172644879,0.6960417135299213,0.6367114466777508,0.7541184457497951,0.4441090180114597,0.43068621813177443,0.500232787203972,0.5893198825462693,0.6987676948720234,0.7903785847989522,0.7341357154145889,0.6187886224139578,0.6068227323281752,0.7588092159688093,0.6173149885159609,0.5746700441783021,0.7376522117917157,0.8296764007108677,0.6709851228422098,0.6883789047915709,0.793839759774047,0.7925030049372663,0.6602394293497256,0.6764317806189428,0.6156414176837811,0.577044911453902,0.528885127934372,0.4980628179344169,0.5600470053618397,0.5093122578833881,0.5053177953741287,0.510770298395476,0.5481390179404447,0.47751431082237145,0.48923555920341694,0.6701162303698972,0.6032325092290106,0.6051775354724376,0.6261835203264058,0.9374366519391703,0.7903116763155056,0.7084589246926637,0.860900458627157,1.0199476399411316,1.0798526497644212,0.7616196723021257,0.6146694019043193,0.5181101890685286,0.7866798095313977,0.620673236795973,0.6852541027630134,0.6921912381171973,0.5409206950156304,0.41126558010656683,0.3808123589306723,0.35243685185883067,0.34760112676414384,0.36600056364823763,0.4034901952415063,0.763300206446049,0.3570385360753228,0.43309726766628226,0.4916246770538137,0.38560787826703985,0.4286539520909723,0.6244141448669384,0.5590491158809999,0.8471212315460068,1.4823505963305323,2.145447557423934],[0.5063347922986435,0.4034911554959712,0.3169518873483162,0.2840538031543469,0.32155278168884216,0.2687008190524041,0.21576006602507294,0.2569916202944169,0.33382733891524186,0.25980252793829134,0.27583871351077216,0.37319673770490086,0.2571130178309749,0.3231112480109913,0.4005672511316235,0.31756413015193274,0.3651893401561785,0.40112500009541485,0.518495983034043,0.48124770054797306,0.5495918061461195,0.6295421650030286,0.7798670428211587,0.881849678970938,0.775499175724478,0.6502334040763562,0.5080260191531794,0.4024690846235278,0.35324374333519437,0.3310459287163337,0.4094529649210836,0.3329012579480197,0.46068445609759995,0.4119138051787996,0.32671737156419456,0.370866108276645,0.3545807131184933,0.39339144483097055,0.3708630858625346,0.39461936088834376,0.6549697555665,0.5456795775811872,0.5204707814742553,0.5818923401074703,1.3970520678011507,1.7719843601304452,2.345178531376673,0.913437096583119,2.113623832017287,2.0078228172073977,1.6759667936351805,2.2216026090864522,2.347451310816716,2.278461953545464,1.4243578068730938,0.9254399552106601,1.8235501383075226,0.7320467892322775,1.2772262473570832,1.363373792106843,0.9184864176896177,0.6430938463499195,0.49097616120396537,0.7443008634842995,0.5962926161177442,0.5536836791570178,0.6599767662180996,0.5180844362600551,0.710438554101074,0.6857074046353668,0.7765126318074702,1.013449702603445,0.8413312300052047,0.7646247963254182,0.49621084473626104,1.135078829359365,0.4417086007208802,0.4325084544765547,0.4077064611091737,0.45599616762863593,0.4049307801573102,0.4831376091148288,1.197205458288781,0.4246793733854312,0.5233932852549713,0.37084197801531205,0.39923392420515436,0.43981442861135195,0.39627444670139284,0.440752923031854,0.4350895511714012,0.6691153359223546,0.5251195990312442,0.41747172251285175,0.3818217525314689,0.5015647521640239,0.49994406366581634,0.41400959770161916,0.3961034858602571,0.5833550537410858,0.3791206216019249,0.42176877218620396,0.3324450777207932,0.38770002491600064,0.4457448205940109,0.44185823208514563,0.579836057584806,0.38182020964972396,0.34697991273508794,0.5156800258714859,0.2740661966492773,0.26815814366890767,0.25705140214958627,0.29158754298019995,0.2929954749063079,0.315884624529747,0.43842489339675716,0.512991037523133,0.5431743039777176,0.4426461457923206,0.43869807522612964,0.37475750668343766,0.3623014880555937,0.2602317051076521,0.2624534614111726,0.29123047370324,0.31144571223948603,0.25035182858643873,0.25517272483590936,0.3206565475196637,0.2862668824405305,0.2961201940322956,0.3457606122963978,0.4240389908107127,0.37504844049059405,0.4474062317072038,0.7080271216175117,0.4076755810736682,0.49269214969193054,0.4134793364002934,0.7205982352201774,0.7563561892857916,0.5640911360623202,0.49946907016192177,0.3863532750037971,0.32513392709978206,0.29921790838721984,0.32270475008875593,0.2768690675711581,0.33294820246328277,0.3586184189662975,0.48183570474352727,0.7917343132017707,1.3134111779378583,1.1544130475051586,0.4806702042068717,0.3416642931422928,0.3186988837466337,0.2920372828993202,0.3453178945049637,0.30302172936554483,0.3267929702867378,0.3342919730172976,0.3627660558289612,0.39124373011529373,0.5570858164662875,0.546969613425051,0.7876673088475888,0.9254794716073244,0.8632987873246618,0.5358873293511554,0.39899386372762025,0.37574102132907583,0.34533774956364416,0.30109848740829054,0.3648173157018985,0.374709449873859,0.5204080257781586,0.37299331064722696,0.3558997826410603,0.36524134990229296,0.3290536745505568,0.34067134554450984,0.39557896175098844,0.44491486263955893,0.6495595890051052,0.8044213095291989,1.1817699756669338,1.8580082882675137,1.2176049936794344,1.5297795651404624,1.8541267904217191,1.3270390372966472,0.980846812519378,0.5467800438588793,0.5133121013899666,0.5673704539118399,0.3625706931559289,0.38157941060629086,0.3670992157367763,0.3218684614596487,0.34977579185016616,0.31708029659378717,0.34107895591837634,0.3661136687132587,0.39030319288843485,0.4497801326491666,0.42815825375010663,0.4769852028468785,0.46743826253474247,0.4877941237884229,0.5502700061940932,0.5957752466857834,0.6344707459944565,0.6855140871420198,0.7251123428093728,0.7664036244266664,0.7161398407797532,0.5366147706084663,0.530309839392051,0.6807551401192045,1.8635499170754368,1.0066379148477889,1.375488480055886,0.6023205642243122,0.5549431162447496,0.6215421359027367,0.5718221968383366,0.58472890099058,0.4495854596381484,0.6600603714043305,0.6354571543930521,0.7508400123306247,0.518445355064273,0.7458452885701066,0.7402504236247519,0.6379341368616441,0.7601856876436442,0.4223218591115364,0.39971203863502003,0.4386700356415303,0.5244595819061375,0.6376178577701697,0.6916123047095226,0.6488844460443647,0.5312191979273759,0.5187335905006392,0.6636845808746736,0.5355172910961795,0.49607927237573946,0.6531712377709253,0.7588731013310097,0.6065482855940179,0.613830946334695,0.7132710922330537,0.7607589827984801,0.6030948150654507,0.6166474382640755,0.5700012422882142,0.5186929020971138,0.46275762105476864,0.4277572160723701,0.499535666821929,0.45371785101609,0.45361221112199157,0.4633679773808841,0.5064336220724547,0.4405142600379786,0.4704464430488692,0.6502132588871234,0.5685479212924375,0.5942356634983624,0.6236334463067335,0.9339518974761839,0.8035834860689595,0.6766659904836579,0.8718849373150752,1.014628239483664,1.0366712955320245,0.7388371291201049,0.5873032535330333,0.48560589720936065,0.7345920714751587,0.5785995021143097,0.6780944726341718,0.6814081997745959,0.5224517728415143,0.39136206902345216,0.3465754320732005,0.31781182841800604,0.28416162633328296,0.2827326705407886,0.3080911861195359,0.7218935244227028,0.2775029366000163,0.34010565794594827,0.3828842411496551,0.29749772213935854,0.34852409396874207,0.5402864878791928,0.46721410672736324,0.7707206714473327,1.4689102426835,2.070742312453071],[0.5486263183124029,0.4425550990326641,0.3499808862478583,0.30049446558699605,0.3679725773446667,0.3184888031769053,0.2910863211726876,0.30129905701505,0.37179666720251636,0.30142179010147613,0.2936296144887481,0.3789116737419526,0.2902614994716429,0.33003641455781607,0.404436323941915,0.34248313432502453,0.39278399405790543,0.41116539181705786,0.5186002310135729,0.5020702537549363,0.5546647808182448,0.6451772050078058,0.7820591246828396,0.8713977595260763,0.7835576963812,0.6563363316497457,0.541539099992951,0.43161956690635045,0.38307064327648865,0.37261257333402303,0.41408309225251944,0.3566428089833327,0.44244772492057965,0.415667038572557,0.34914811268884327,0.4022804134777075,0.4020236238406699,0.4367101754972796,0.42983125471410644,0.4518020344351419,0.6809042629780035,0.5874732056015353,0.5654675294449653,0.6160290334923634,1.4443277530596301,1.8025215859619697,2.383649495513955,0.9634812231427895,2.145138725321008,1.988186126954056,1.7054385434374955,2.2192336802535833,2.3376474097354984,2.255897238212613,1.435864889900586,0.9533637813921848,1.8318827388521015,0.7753777190828393,1.2852917363249021,1.3839713405450327,0.9376066760113896,0.6595122962168666,0.5040628613323116,0.7348122489876326,0.6095830938158144,0.5847585919645094,0.6734009893798819,0.509149709630426,0.6714663472699314,0.6817231319827909,0.771205400931797,0.9904895150028603,0.8269635397885263,0.7448466649691833,0.5059475625755675,1.1308055180384413,0.4594118757306505,0.44383354097553823,0.4393691408278163,0.4821247096232784,0.461210764567008,0.513274588930754,1.1777285541153348,0.4661310582505034,0.5882507568464825,0.41520466804367046,0.45065666658915493,0.4707326182345975,0.42870541610303436,0.45290292774134233,0.44607065882552693,0.682998132282593,0.5332785535212862,0.42161105440495,0.3886288258053126,0.49727553348776843,0.4927311885733146,0.411669864812587,0.4086067603165663,0.5769804612401894,0.3942498932776861,0.42859014752665703,0.3794694845504791,0.3990133613397708,0.5002432789507919,0.4993569657826668,0.57803702037767,0.41308255611195777,0.3765198213564391,0.5634691280420301,0.323326399939726,0.33996989094616453,0.33441019333194144,0.3498149200101514,0.34257964799838503,0.358398344469103,0.4549437118644077,0.5273572777821748,0.5443688522959005,0.4527641254089811,0.44231367914274317,0.38502032943096987,0.3741336488183473,0.31396054287597214,0.3193301016063856,0.3269547158021151,0.3180732974921405,0.3172929963842958,0.32210550313517383,0.40387813352088553,0.3428785495030133,0.3567723770683475,0.3962289901476203,0.47057116506686225,0.4193008731982242,0.47340701104058663,0.6965484150407895,0.4429726276816953,0.548894225613108,0.46431552300010437,0.7500627701342636,0.7636011632790032,0.5800224103513472,0.5344295165334435,0.4316058295028342,0.3917821424709307,0.3677792619534698,0.38182401526883186,0.3340745762191875,0.37817255914124936,0.41427334171112273,0.5415369263450798,0.7589499818750585,1.2455493900251247,1.1668744515942224,0.49964078261281114,0.3820791270633919,0.37391665100097615,0.33275538466071747,0.35915462173602986,0.3781421792283834,0.3733635537339166,0.4010378561009598,0.4266796060467112,0.4544152438284927,0.5777662928257916,0.5883345874479414,0.7911350177825374,0.8975129332663072,0.8702171751363038,0.5503237021352968,0.43784358325518136,0.4357187865336991,0.4039703464024559,0.3612847397723763,0.42312909487909517,0.4428552978479039,0.5345032314281272,0.4338580995508743,0.4204337437370339,0.4254871586121599,0.37965469037785976,0.40159850963484667,0.4458014460673698,0.494178079606405,0.6776664839089996,0.8166980403781888,1.2084100821651769,1.8501702780597147,1.2226302548264172,1.5733634536056884,1.920913096702457,1.3520636978491147,0.9843562405064851,0.5725740336509677,0.5285098809227673,0.590120219440919,0.3905443621070887,0.4090142123691624,0.4204267637192453,0.3605834381332862,0.40545729057531016,0.3723549533770262,0.3586604973696964,0.3863804562184472,0.4200826330585042,0.46963748528197324,0.43161171721099195,0.4810465791246252,0.46500808407864,0.47950528677890775,0.5258846381069084,0.5734556919195113,0.6325963420555689,0.6663163395943887,0.7086140081853516,0.7354598522808553,0.6744513311834243,0.5263714073996173,0.503304131959596,0.6302913392313847,1.907040355450361,0.9526118293199458,1.32302304745751,0.5875509050731663,0.5564690347471152,0.6346503998152264,0.611057205646231,0.5557295090317694,0.4510699050569249,0.6585347395194661,0.6650222202784893,0.7222686009601381,0.5012752830664651,0.7876999798333425,0.6926403531284405,0.6291725564514673,0.7475861350492763,0.4281274696241702,0.45027461833897725,0.5045317967571736,0.5737167677235474,0.7050423537296632,0.7099510286223637,0.72441003961155,0.5934275320767266,0.5505350407651535,0.7110092302971196,0.575508749765724,0.5279624204189635,0.6578664049264865,0.7598149321836934,0.6004755048514813,0.5920962654555455,0.6828740188673658,0.7190146898783009,0.5723437712974413,0.5844911959994552,0.53830072739892,0.4968605772608465,0.468908024555975,0.4273892450816371,0.472049265377443,0.44240624595177774,0.45062694555788824,0.43943569782454567,0.4856673749485383,0.43592315814122157,0.4589363690187511,0.6146211558173873,0.5547516841272837,0.5786077311992215,0.6116145049470421,0.8994284764384287,0.7957752133717315,0.6608510733351974,0.9068668399803004,1.0773172240986584,0.932188975874415,0.7177370399220444,0.5807471731810249,0.5037933838890398,0.7686383695326899,0.5754049201422977,0.6643871046749364,0.6848063636339152,0.5200067482559766,0.41002857044895574,0.3788010622498483,0.36902564798032156,0.33343121296283273,0.34335953942197045,0.3538122787892434,0.7797943636374175,0.34067301442701714,0.3664889907367773,0.43162357032700605,0.3564440036575699,0.39299789136628177,0.5659065848669902,0.48907890775794544,0.8166513802861863,1.6705456260986074,2.282437413793921],[0.490994398575971,0.4303533062468201,0.40988940759078796,0.3271634564913375,0.4727678760397491,0.33992473881176855,0.371248078426125,0.3688747108980371,0.40300392048211425,0.3836380964543403,0.3556824129227648,0.4449092218325858,0.3997289622216519,0.42585898941662137,0.5081580266260141,0.4513380155849371,0.5122178056398352,0.5128541578616864,0.6367175178779371,0.629184078095785,0.677560920763916,0.7689243283638021,0.9157449417447682,1.0330916016547165,0.9137061150091581,0.7921151773924345,0.681061758253921,0.5376585347562959,0.4954317887206944,0.48757391131327216,0.5057661513849978,0.4597082228351648,0.532791717909567,0.527232471777548,0.4546217991344453,0.5148381530286689,0.4894674030206567,0.5537079502028566,0.5698782730064151,0.5965896181461019,0.8169229723970937,0.7096145509212812,0.7050903215195502,0.7198629582417384,1.4750609348093666,1.8574487982810348,2.5070865710265102,1.073422014784352,2.1027088851156726,1.9830499765702552,1.7104572202923987,2.1719540241965527,2.222325549400594,2.0803723756368755,1.4224556296221569,0.9474283803164637,1.7900503358556843,0.7688318951774735,1.298553565802494,1.5717092366946246,0.9893929431415692,0.7310327511687551,0.6148329218840006,0.8004450812430135,0.7469673228215622,0.694132018518481,0.7224185374967459,0.5851608328880461,0.7233022765629342,0.7370591887486395,0.7865660558579262,1.0154323802951233,0.7878579760173726,0.8082738183243503,0.5825015803210731,1.1608814187068037,0.5663857556088823,0.5646845511763496,0.56752967061478,0.6115711355402693,0.5579822305567982,0.6199524156599615,1.2121561616663492,0.5781133112072794,0.6983835600798377,0.5447700891248451,0.5577761502493217,0.5603312915360513,0.545523781783388,0.5364898953123577,0.568332653124709,0.738292483348752,0.6347041476846643,0.5250988623864805,0.4834913394871603,0.5951055427816295,0.580666403069967,0.5058225569073311,0.4885628227850748,0.6120083703409046,0.48181857529549077,0.46577638535286714,0.49390319364874,0.4583812932959297,0.625029568514681,0.5501336506003979,0.5939779089617637,0.5249124378137844,0.46936225406577453,0.5959155481717826,0.38701079802228594,0.44983388394778123,0.42718042590248306,0.45307992743042413,0.4418436174275929,0.4588042727806284,0.5637918941772322,0.568723214234005,0.6411349017108433,0.5470541332300906,0.5696626816617529,0.501627582052027,0.5162633937733713,0.4140337233384809,0.4217563846324695,0.43018897982010657,0.39259871021740633,0.41531415154417806,0.4324584459580112,0.4939812586790555,0.45894487333537953,0.46949388172054246,0.5033894286696813,0.5250698798219352,0.502739214861323,0.5459793993270121,0.7320065105625794,0.5135160327164814,0.5552055599841601,0.5647000738574953,0.820017419615557,0.9044389549290726,0.7117788645692643,0.654285356512234,0.5642245131156931,0.5022112698264636,0.473708493001169,0.4653193947123373,0.42232204359945197,0.43450510667648723,0.44444250924193673,0.5724297772326821,0.7490147285796972,1.2133827827276449,1.1700732973394887,0.5382045125444009,0.44376357293821705,0.41929856561810286,0.43227123245134214,0.4340437606873364,0.474799446807945,0.48016092354483775,0.4925275689503783,0.5323369502616907,0.5582671929791156,0.676304749233745,0.6575247899031468,0.8845494727535506,0.9921961912609413,0.9172865759476447,0.6242106352810776,0.526345682694588,0.5082236835763209,0.4854835276794202,0.4737522249849565,0.5166122386494434,0.5391278119828379,0.5884385284908454,0.5264752872008425,0.4921702043001818,0.5262143209217484,0.48264611361138543,0.5183106425287011,0.5776721150630522,0.5984229257726249,0.8176326141281096,0.9533265683882675,1.3497223287027307,1.9492256968987531,1.3733183091155552,1.7504291341258906,2.072424838180777,1.4991177406504665,1.1020793208359503,0.7005324696451672,0.6693458141244246,0.6326913929191303,0.5303240519985414,0.5335646500408905,0.5310608850331231,0.4563840808993261,0.44188679920793567,0.43273051344872115,0.4377541872339195,0.42205517119536407,0.4457570038114551,0.5262679170204176,0.48392520022181323,0.47991341910923196,0.5019791859410496,0.5297770117517054,0.5580739664474869,0.5990888668164803,0.6704547788832672,0.7253183038060375,0.773220163663099,0.7776522949222793,0.7400024974836747,0.5895456914374834,0.5482828396492584,0.7316990538477283,1.7693204791801747,1.0280074935095598,1.315456214213961,0.6231727224600665,0.5692196745209753,0.6387959851108862,0.6371877775580383,0.5938502024218929,0.5326766053866441,0.7332402751710652,0.7603512988605542,0.7600548876753467,0.5884447037089867,0.8466215983411228,0.8268189543225428,0.7414506991773442,0.8141888428522004,0.5357644087671175,0.546544164482565,0.5869785379801504,0.6129042887559295,0.7229633639370386,0.648848840660141,0.6929499956037972,0.5882295473153699,0.5241828495321299,0.6572498026467944,0.5488550680992738,0.5073868269885137,0.6110871928199868,0.7149855624355891,0.5822692324868147,0.5706275725042053,0.6541512299816201,0.7227559538160279,0.5912501144312619,0.588136641122785,0.535215227947835,0.4843172299608535,0.46491334792516853,0.44169082013768546,0.4870850464113643,0.46488655985257316,0.4879727848154846,0.49777836668485714,0.533903686560026,0.5064616515096398,0.541048912770522,0.7057296236238967,0.6342377677230112,0.6685888157489844,0.7194202440536428,0.9833035057709688,0.9046812730650347,0.7372600502908809,1.046520409785088,1.15066179765483,0.9945180628428392,0.7989322474464936,0.6426806430622063,0.5654310917782174,0.8047615593573108,0.6534198045079924,0.7609764723621683,0.783538223751216,0.6225564212811218,0.5259352190484123,0.48411941169875705,0.46804108040054365,0.3925479563692952,0.3699465528348725,0.37662397802816056,0.7914480520102033,0.35706153358614173,0.3713788383168333,0.41226536863141167,0.3650866714936487,0.3613515696063178,0.5170931996753538,0.4717457829521796,0.793581292505387,1.6375415783744462,2.2437360662415706],[0.5636110802154273,0.4582454372787942,0.4187113732846812,0.34405669655850046,0.4427600714038576,0.40589613975840216,0.39786078926785107,0.4312456653495989,0.47572878243355077,0.47345482327132116,0.47674566721472583,0.538762492958804,0.5043203318965926,0.513311737592157,0.6017442574120722,0.5485806687075908,0.5796934701502264,0.568449100293719,0.6576142814452847,0.647092535669732,0.6909853537866627,0.7707006063758198,0.9022082098218,1.0213977972761328,0.8696794055356637,0.7865967293263644,0.6828694639537155,0.5535626984574068,0.5420762460819938,0.5455052201245284,0.5929894131408595,0.5502260706946046,0.6508767081882489,0.6193084099595285,0.5403026560321591,0.5724597817395707,0.5557896414695288,0.5734399127982767,0.5918333123155671,0.6160463402821569,0.8074219780373368,0.710902246699649,0.7153908762804123,0.7326375008102671,1.549979397553244,1.9522619013109321,2.6394448699719084,1.141290352612566,2.1623415145913842,1.9161748227663686,1.7531845631936658,2.1352366973118,2.193993464633308,2.049869675112491,1.4076513767817695,0.9475994060546205,1.7947819551808528,0.7779946000934361,1.2295058066751945,1.5584850986951493,1.023363005645313,0.7272471913534708,0.6430559470231884,0.8148381498171338,0.7397950015236011,0.6942136846677116,0.7279217503031561,0.6135740496038484,0.7358913038336773,0.7792603383441935,0.7785003232262285,1.0117338684540365,0.7985597910486482,0.8189440782729087,0.6096439695899091,1.1954412842967097,0.6021308852079411,0.6220006000955376,0.6113024917025054,0.6505824484350526,0.6035372442798337,0.665911518438557,1.1959370293091791,0.6091934970051212,0.7241330872616983,0.5699406518942308,0.5819693471175978,0.6066461109062915,0.5974764139183,0.6077919056217755,0.631197027879269,0.7928729329013939,0.7218131897475607,0.6438428772833236,0.5982989656788321,0.7164138447764175,0.6899730706823156,0.6146910677847603,0.5984143633021253,0.6991470665851736,0.5598950247568407,0.5683916121615341,0.5772379235052159,0.49559949251338536,0.618252235081114,0.5833120866375388,0.6336753767104079,0.5230160303448125,0.4360071035460577,0.6480808683053205,0.39759248287654037,0.431749872212402,0.4311066881990284,0.42036183811427635,0.48049405930401373,0.45077664006978435,0.5497679346778965,0.568631301117314,0.6590529505193328,0.5735564832478421,0.5818836769603594,0.5465235876017132,0.5223696494593264,0.39192107050266917,0.3824897208369943,0.38796894944429866,0.35079815661366454,0.3812317907962538,0.3977548264133279,0.48809654535162655,0.42883967283276175,0.43391591700594206,0.4688722499232689,0.5032967697565319,0.47572117722453827,0.4960544335875852,0.6872462340213433,0.5003156131820902,0.5838299746063971,0.5896430608031344,0.8619287760461396,0.9535460592579384,0.7287013308924449,0.6555333147639214,0.5564978921397341,0.5122300972826651,0.47772189919544167,0.48776963458762107,0.46553154798958235,0.4757461356496515,0.49608314210531546,0.6706023210146758,0.8036647087919627,1.2308454845783892,1.2181736124989822,0.645025230966407,0.5501091064432029,0.5024597141850381,0.5056957290116403,0.48182460168692864,0.5023035997666077,0.5046613849265417,0.48875621910476386,0.5345163452432196,0.5753897263201484,0.670069600965918,0.6357805072476033,0.8617310201667507,0.9298903086596433,0.9071276505829492,0.6062870784465471,0.5276635807854821,0.5155543781679928,0.4896584217136482,0.4967685253042725,0.5425088152991691,0.5770619442250173,0.6363840681593711,0.5551352644045146,0.5287452539178022,0.5446852565966663,0.4837251730390494,0.5169416173525301,0.550719013568706,0.5633602107445767,0.8471428319745941,0.9797945036455862,1.4407157393876173,1.8828429003240617,1.3428793263155594,1.778947826614623,2.1903970884420727,1.5121297358697479,1.0734222439093575,0.6740814842304291,0.6458655571432095,0.6107350909180623,0.5052712322540078,0.5282944470726264,0.5317300583705009,0.47086524309837713,0.46189379955425264,0.44672986830655276,0.446238181170718,0.4309576923415136,0.45428159911212834,0.525812132327616,0.4724937052102294,0.4842561295989796,0.49188403173701345,0.5069061312881575,0.5257250139237322,0.5684323500783198,0.6534958105399232,0.6788592096425945,0.743632307541507,0.7419318479624417,0.7120459957457472,0.5668805257419196,0.5228702028345245,0.6666362846720615,1.875825633121387,0.968114477608114,1.2951207563977214,0.6297252605314152,0.5939927230136467,0.6594252218865129,0.6806250011697498,0.5664863667395178,0.5228930820071824,0.7354575191768816,0.7873182335802171,0.7499118743232767,0.5827863752951713,0.8960284345982249,0.7708984887160467,0.7249366521792818,0.8019131596238319,0.537717102370453,0.5771382175149095,0.6226431990390849,0.6576029529085227,0.7921209892267125,0.7106928251672329,0.7834358451917591,0.644746214112995,0.5777254343041418,0.7416357222286782,0.6102303889701194,0.5448427459732219,0.6528851446747665,0.7444514012882435,0.5955515343742452,0.5787240969681278,0.6632684255637282,0.7049379247630341,0.5540066414785756,0.5645851326872339,0.5221046852801589,0.49380199949271414,0.48584378138744233,0.4618764441393896,0.4694684457521903,0.4514017692371008,0.4845533580948727,0.4794116440465753,0.5194823294265003,0.5031036276091934,0.5215033577269308,0.6776024857990984,0.6222188864026768,0.6448049563987559,0.696679774972758,0.916858744687726,0.8731498824458371,0.7173005504134589,1.0485120000832355,1.1997704209997684,0.9321950997329632,0.7874993085736632,0.6445539606918128,0.5741983569133688,0.8368131206569093,0.65149893848346,0.7344860530271531,0.7581120282780036,0.5877030941977184,0.5124025755689202,0.4764078181124415,0.4617204816493048,0.4170430808512517,0.4048623727629474,0.4283688221740022,0.8566007394172708,0.39877131905229823,0.4015263170415183,0.4961481917903914,0.4322093995499587,0.42754459313113574,0.5824107126995173,0.5795679423106982,0.8815989137543553,1.8400106008990005,2.546082830342457],[0.7953485583153738,0.739662183687781,0.7539017423887266,0.6819997203527614,0.7410532679822773,0.5990833342319417,0.5685949390645073,0.5516312617153669,0.541134350902602,0.5842572608332484,0.5742346456096878,0.613354186291052,0.7074688373820621,0.7006110642381959,0.8460971484635808,0.8321596894865246,0.9289253431375781,0.9739103241133562,1.0988909821848507,1.0800945523572252,1.1108095420096107,1.1398878987248968,1.230770369843566,1.3754382197246429,1.2307578955940437,1.1854791267648508,1.0700422090454582,0.9220759542437376,0.9181727772995643,0.8690352439903534,0.9588060550109546,0.843882249229156,0.9451886008623573,0.9504341968839265,0.9071556838399366,0.9616383942682795,0.8976355722769239,0.9426546216143277,0.9707447862717125,0.9904213435574953,1.1483890001674044,1.0719896014897514,1.094963169757582,1.067546140436857,1.7582326161790784,2.1963771032426886,2.9056011118221616,1.4677169676917994,2.2539451443416114,2.0453731178873795,1.9334888867228497,2.2010130533397887,2.199897217653801,2.0083090905899543,1.5559693589696904,1.2125506978842389,1.9257374696442418,1.0254952844326748,1.3810715196141763,1.9431594056623664,1.381246482221923,1.1526085515257194,1.0893044107188277,1.2173725339036938,1.1581066283713826,1.104518446195635,1.1333406911993769,1.0464753571674212,1.121115322495353,1.1042179404917167,1.0938664781981844,1.326968892768156,1.111043958321335,1.200651386168464,1.0103715336891679,1.5039234042337408,1.0285410205157623,1.0352589557888459,1.0209992762758366,1.0451784204101688,0.9579187092021577,1.0535738495894817,1.38795013084064,0.9500173365128107,1.0244418038449068,0.9285943929779753,0.9662494613413457,0.9298061732413742,0.9993013666198272,0.9860357399467309,1.0221775523570145,1.1957973229695917,1.1052758075155396,0.9931995690200971,0.8985163918888066,0.9737788641556974,0.8890493267610325,0.8218779448757517,0.7572337159810107,0.806696558776829,0.7604408624046041,0.7172227037152036,0.7975969815645568,0.6951890855850931,0.8537176238330819,0.7510891924129338,0.7789534746543175,0.7547863382519187,0.6715463214170241,0.8119237878167012,0.6043717727161578,0.6711671150675995,0.6258930578024472,0.6772675603049082,0.7200903379434774,0.7256861252917373,0.8520318898594633,0.9216569557614244,1.0705516065218466,0.957136293962779,0.9542827408367626,0.8380251631681847,0.7835447766633358,0.6491629669935877,0.6063987326829231,0.6358854177632428,0.6039314561740837,0.6465735649070757,0.6799153929570038,0.7509937369133722,0.7241021843532686,0.724058321195249,0.740714418553836,0.754489900685137,0.741789453532329,0.7457489933908185,0.8719931682015909,0.7570809958901307,0.7738904981645935,0.823850461597709,1.0028460631511322,1.167531845238284,1.0229228378735993,0.9634057405797165,0.9013436121086918,0.8373857286553426,0.7813596414294521,0.7500611970688367,0.6959427280709966,0.6538177900434906,0.6304768441149993,0.7319971583615599,0.8650775257050242,1.2949558018240404,1.275244911468444,0.7448286068746757,0.6918097579278155,0.6631608128793897,0.7231760388068923,0.7018183189324759,0.7640590142089749,0.8189539955022758,0.7777185967466318,0.8406773482259348,0.8983556679111417,0.8971570086881513,0.8544883621742758,1.0558090878942565,1.1144082253264223,1.0438162676401743,0.8325632511029226,0.7874132164363834,0.7944802839613996,0.7823519617954299,0.8013724659103673,0.8087287449647667,0.8377534448927599,0.8772697267285656,0.8613463881644716,0.8086862421160862,0.8443083166836788,0.7579754968397082,0.8115456056425152,0.8328698912224427,0.8335903258535916,1.1708997360095612,1.281145360715354,1.7364103832714133,2.042824481700362,1.5430482274859691,1.9831080899889277,2.3622931467267847,1.6798791292436386,1.246015633009242,0.914805835230781,0.9208874368350526,0.8470290559227137,0.8124448392723677,0.816606479301805,0.7929217386664751,0.7458500630436691,0.7073611781948347,0.703591283659813,0.7329002469590999,0.7022345372431777,0.712403712429761,0.8178066532869465,0.7877557658225579,0.7336561365558574,0.7787445337819249,0.8336766109436944,0.8265513337768072,0.8276323237126871,0.9289662409192935,0.9748481599315167,1.0396666994331119,0.999613077386573,1.0384494130438604,0.9039328453478243,0.8373583581739407,0.9789350341445822,1.8866657503466133,1.1906498065112878,1.445960659236539,0.8624544408974831,0.7937920325414828,0.8347587267109364,0.8690742720927356,0.7842155518726124,0.7715156863351421,0.9446412844559844,1.0060647543907828,0.9633355856940577,0.8432511911581716,1.078559249508252,1.0369680043406422,0.9970662534299108,0.9973553575162878,0.8229798027512456,0.8245381377371281,0.8521325335552357,0.8567213466280402,0.9389727564758087,0.8398303109767059,0.9055104311988601,0.8172579537354957,0.7282279716646515,0.8506370368585079,0.7484501714887312,0.7134097701921461,0.7830594287471568,0.8548218822119198,0.7779932647770055,0.7636800171584691,0.8172638376739728,0.8654770638826383,0.7892104888785013,0.7847982420852992,0.7504648884100555,0.7153063318990084,0.7024332878714242,0.6973863946364877,0.7436937791442785,0.7286212345373383,0.7439820607804056,0.7718920604133688,0.8115212813065422,0.8017915843585381,0.8297357207577561,0.9857598015391821,0.9343873945107818,0.9491889801415275,1.0050468228388598,1.229247231101294,1.1814992609039037,1.0013307701528047,1.2697317369948256,1.3351778185765142,1.2093581332348726,1.067435769243453,0.9402501370664212,0.8910292710983909,1.0649914443070552,0.9523467558263226,1.031219844213854,1.0414947652041073,0.8975328084732626,0.8126542598524744,0.756535913455494,0.7360936753527194,0.6836083859439027,0.6176539929532296,0.614068869599602,0.9434208626251478,0.5959347210958984,0.6075539760878338,0.5926633579161512,0.5685681903841262,0.5929648635280202,0.6634378949850924,0.6200242542748076,0.8901302681267691,1.7975207548927796,2.58721120131501],[0.9787610685674224,0.9605910842730153,1.019708920162997,0.9352986171960702,1.1502095410180893,1.0571233461699443,1.1636395276606766,1.2851766193638172,1.2453720337320353,1.390809249623175,1.440739481439587,1.4929735570760563,1.616440081928972,1.5670345163133725,1.7114930464485654,1.741916150429217,1.760560229857212,1.7453310618496543,1.632659849634343,1.6379803807518676,1.5058758571246595,1.4964398774262029,1.4738943590165756,1.5671723126391806,1.4728820819624668,1.5073071920548695,1.5448378048691713,1.5355396812706967,1.6845823523647145,1.724280265423951,1.7772800925133707,1.7554445700814543,1.8077456961788898,1.7787253144606547,1.75402379701719,1.7496857494696518,1.721468788409319,1.6046707212012383,1.5891482588859818,1.54134351544231,1.6021857594775433,1.5349366900408847,1.5471398461772032,1.4516955970487317,2.044461032684907,2.474316992767722,3.2305766312274247,1.8189960053637118,2.4097105921919915,2.168111082393523,2.222124903348331,2.2929465654497876,2.4044264273696814,2.2271783057447454,1.9551969788380703,1.6589519132658521,2.181404320889755,1.5324492486093493,1.6945468268764505,2.219521295543978,1.7281172916216185,1.5490455512597245,1.6083632651839503,1.5765677129585587,1.4915469898946185,1.5594842807116613,1.5500334789765562,1.6446388019170926,1.6476239049151473,1.7685006844623745,1.6357779264466483,1.7256865882707502,1.5939148610644676,1.6026600303224858,1.6454063011551738,1.8781799153080125,1.6396074118019586,1.6882318262955127,1.7107880462884484,1.6710048577943237,1.6715648642009875,1.7003957663212084,1.9694139378633595,1.6370086789594223,1.6262048822675506,1.6264779378844298,1.6347787026937892,1.7095090226525866,1.722083864881954,1.7470836381709978,1.7396262434247902,1.7971133803973853,1.7811570360400992,1.7971999006227972,1.7728422807184074,1.772043429371798,1.7201364156244672,1.7301257046231429,1.6775359000014614,1.6628626045778876,1.7044418135806276,1.6338726972255007,1.6840347368336346,1.5581182044069966,1.5959069571308595,1.4658704742532673,1.462528597930369,1.3863581546783181,1.3215177311989594,1.4601141582580592,1.3107336082935657,1.384882535239974,1.3706687164022817,1.3431318860765662,1.464211358274066,1.3658223526233673,1.4689756839641241,1.36222937520842,1.4123737417795617,1.6332423065763404,1.6055927013048787,1.569682448594251,1.2963977798327107,1.234017538736685,1.1904891192646918,1.2074568368780734,1.1514165474067384,1.260576452848321,1.3005731296524319,1.3916856854098334,1.308947429056984,1.3222531190344575,1.2733667853138462,1.373404031672903,1.2792028788686185,1.294904632878548,1.2154605829070193,1.2011352760102165,1.1804528934233656,1.2862190761449923,1.2810643532280592,1.4164059199402992,1.374058381527478,1.407106925493396,1.418970923384355,1.5130989341976964,1.4570651350079846,1.5384268956536271,1.5084061384664316,1.487336458336426,1.4471815856300936,1.505362302507026,1.5922715947392405,1.758363598309256,1.8512977260581243,1.5938716262151482,1.5811173950124486,1.542655282101392,1.631548674905107,1.5368742544748428,1.4788145232922638,1.5449340055287795,1.3722918833188287,1.4169702221922018,1.3730719391862112,1.235079050767658,1.2150317869325333,1.2441824824992096,1.3067135576632323,1.295568171229234,1.2283104388746775,1.26212391482237,1.3579885469574395,1.4288619774797404,1.5143586972470395,1.5647086438518325,1.6307643602138218,1.640145110620247,1.5780242490290848,1.5419626663441752,1.4698581596599918,1.4699025633201868,1.4363655045006607,1.3893578828363888,1.3571338250757614,1.6354431264151403,1.7140370651236603,2.1043377995405828,2.1360492100806603,1.714616296118934,2.0723902128551797,2.6195435118702664,1.8843317106849502,1.5107233406792153,1.319787528910722,1.313150312172502,1.2770498481071746,1.3620619169695563,1.3312248484196154,1.3476263968084263,1.2898792438555249,1.2954672591858454,1.262020864431945,1.2143550430486834,1.2056708711490467,1.1842130216257172,1.1419320598888556,1.1288425966700912,1.1503088051479755,1.0845385008322344,1.0737862587796436,1.072008869338543,1.0610113513744375,1.07901062235353,1.086970983665239,1.144227430317819,1.2092342651428782,1.2074703763646866,1.1376003230816587,1.1182048527807877,1.2102205873839513,2.053468956878479,1.4450509224915662,1.6392901467319072,1.2992556339804668,1.3350214128136395,1.4054620548756027,1.4320224434298257,1.2875588037904533,1.2883693516345198,1.4535592788806957,1.5216715716168965,1.414204167759037,1.353808870037945,1.5469768220463747,1.39977092499842,1.377145513237038,1.3903533238634156,1.3147529080437628,1.4099179134011803,1.4342008403758728,1.4564935943438622,1.5784536670661458,1.4869091570710602,1.5499037782092369,1.4702961947365272,1.3659281514956898,1.469011275405102,1.4103725200598596,1.2771122385779714,1.2974036436330332,1.3155299800924127,1.1967174500302178,1.1856576788059623,1.1851790031797653,1.1601450621500682,1.0988860451630162,1.1312233196204864,1.1524954668790746,1.1940852634568888,1.2283662928948262,1.2232468921336284,1.1613903465084172,1.1450520675116866,1.2245628841061356,1.1790964620217397,1.156897319864168,1.2176192362875558,1.2341774695605954,1.2718749123055675,1.2287185112833734,1.290374785986176,1.2906687758198747,1.3295796461357179,1.3401112209464912,1.2625649655009685,1.5682541091527398,1.6333539966428392,1.3164960652673074,1.257739923657101,1.180147934627359,1.1081589149414346,1.292493827082752,1.230640570485033,1.3381905737870958,1.3692056935488568,1.2570205674167494,1.2391615246071934,1.2758112770010779,1.2626669444686176,1.1770017913445714,1.2446800922018004,1.2068148895669646,1.4957013183416188,1.1945196731824637,1.115081545089662,1.1416540892715208,1.1418091110923934,1.0116770979121363,1.0567360858901125,1.078782232418974,1.300027401184918,2.192136443095361,2.952254077761309],[0.8449537244931489,0.7922728287435933,0.7873321103951098,0.6971948437772363,0.8576102839095969,0.8638332465313237,0.932014526152241,1.0395415454326737,1.0420177501353192,1.1003344873418863,1.1464204024268891,1.1791384654778914,1.173456154709321,1.1711942200433725,1.2592862657806794,1.220756233464709,1.1736843195544207,1.092063596604186,1.014611708951508,1.0361909924030772,0.9819438100713122,1.0236574311041315,1.0812140483620785,1.274713375236046,1.0577656041903738,1.0477267137654092,1.0316830985194827,0.9875556335024951,1.0754239329462159,1.1596046387949188,1.1866913667994092,1.2045977327306274,1.2996478974892423,1.1759524540169668,1.1459296155532488,1.121359796035778,1.1560711784981321,1.0631728759427965,1.0533454722903082,1.0498785795223253,1.1574026624338125,1.0602369803352012,1.0881913387696405,1.0382038154116118,1.7963901337507928,2.2414956763698632,3.071205358030221,1.4840207955549058,2.227677408374195,1.9264690019497301,1.917484479138329,2.02643267216725,2.1241455173779276,1.9776621356455877,1.5894585952166447,1.124945225263588,1.7546998066656962,1.0480530074537397,1.379011389951545,1.6346414930819795,1.2102943716780927,0.9922372720276179,1.0109868420829355,1.1100524447773068,0.9740447050148624,0.9998584391671052,0.9892003987235626,1.0071727429690602,1.0529987196320032,1.0773171654517013,1.0214887527644148,1.1334699322315562,1.0354700077446137,1.0573043880361204,0.9775096598768946,1.4877209663917157,1.000620246435084,1.0618460899330338,1.0791513130640686,1.04265463978788,1.1059562767882587,1.1640354170294023,1.523222411803242,1.11254799237762,1.1628480014672142,1.1097589918540245,1.0611218534993418,1.1201357242430898,1.0762567399146616,1.1101886435092783,1.1071153814531622,1.224972987450415,1.2119176585987408,1.2497144690026278,1.2337936045901337,1.307296330058111,1.2909530172479269,1.2683444667083157,1.2690569092970123,1.3706695594557152,1.226166464404767,1.2250946944138286,1.213376300572439,1.1496477659399633,1.1335638833624961,1.069511326377465,1.1151999944687172,1.0491109829610687,0.9784650089292457,1.1206598291596404,0.9841710424350346,1.020880302633113,1.0336062592965778,0.9879433186741002,1.040542675400576,0.9409857874854981,0.9942819444973245,0.901555558013526,0.998985205930551,1.0179289464474714,0.9831595394155633,1.0504191494679296,0.8967251733284686,0.8793368179993358,0.8988794210238114,0.8789317174249267,0.8658922545788762,0.9070487724357081,0.9430502292908212,1.0024060580007186,0.9217790502468444,0.949584296135188,0.8938385981116908,0.9843455626991403,0.8882435344725477,0.9015585884745803,0.9376867043602871,0.8442683445592507,0.8774566954774614,0.9306056151917816,1.038993990397053,1.1884505735413744,1.0002198581919532,0.985563945277092,0.9582283767177892,1.01103570711617,0.9912821899871705,1.0602202524509154,1.0809139650960964,1.1270850936612515,1.1216922753834326,1.2674909664679415,1.3932874244252034,1.7386175738866028,1.6992454371469892,1.296908225964379,1.2225464503644516,1.1742829782327204,1.1671530538900032,1.1177439705302428,1.0424165037868511,1.0519538278457206,0.9399160794644293,0.9777570148098653,0.9935856695912514,0.941512295609234,0.9067697519877355,1.0175037329394587,1.0498508177988457,1.0520531758824097,0.8845130873619885,0.8937059414021525,0.9578034264887141,0.9873743769357177,1.053885347099137,1.1161454870284613,1.156092232912981,1.2032814854153027,1.1006198871931479,1.0774195781143054,1.009854659757364,1.024005294868804,0.991188081917732,0.9842860133974434,0.9626852286005838,1.2304562257855411,1.3104689086679242,1.7717937344268866,1.9002289778626866,1.4446442129571122,1.7900711929700341,2.294996912241027,1.539239310252913,1.1615154315878042,0.9397803526142896,0.9384191944263546,0.9594490509285974,0.9679031241428221,0.9633427550941221,0.9927759540354192,0.9484355749827411,0.9797543780408149,0.9362557624166903,0.8905475199776078,0.9075180799298195,0.9206337420237114,0.8851627732946409,0.8551233468416777,0.927837538853042,0.8596271715463165,0.8393113377536047,0.864609341015439,0.8882923985773885,0.9241468809150852,0.93011066375625,0.9858305525406762,1.0201277530327595,0.9646919933019446,0.8865231014631746,0.8505478857295007,0.9778740096900892,2.1530446491747126,1.277597731673427,1.423980900285457,0.9715637709347769,1.0537563503235206,1.129451974750926,1.1368890177585749,0.9886143555524056,0.972883034279835,1.1231972065426774,1.1477380646991906,1.0663459830744884,0.9849640782229111,1.2391727061351505,1.0531183578309287,1.0620461636858414,1.0976494311439824,0.9566591825144809,1.048358736133151,1.0979568727811455,1.1232739315032703,1.2733975301511395,1.215733389873112,1.2591888143303938,1.1503693841715015,1.0925864976038386,1.2253054561606553,1.1508567324535035,1.04935712152144,1.1435031699238438,1.189154836688905,1.0255607637745852,1.0169243250195033,1.0729194992934008,1.0402133661268038,0.929938621497713,0.9699658408267705,0.9361659471298766,0.958859061575845,0.9749103005849573,0.9324279429750051,0.908861837047395,0.8486864005061158,0.8914255051100648,0.8577677016041775,0.8366666062594871,0.8771278255986263,0.8971809603738599,0.9379174878059475,0.9171140225328532,0.9566220374270085,0.9773722319253823,1.1054243402339312,1.0802057417017963,0.9676464724009782,1.2476240764016309,1.3553758774715763,1.1038322363978785,1.0034402005062848,0.9403459952987008,0.8842675690529268,1.060440348174856,0.9177435175385324,0.9690617654261394,1.0128296680064695,0.883602718826645,0.8864816730373232,0.924486718004387,0.9320571244899921,0.903673673174869,0.9733594437242866,0.9698793476858205,1.349801912534567,0.9461742429367406,0.8905004474859654,0.9710560639558998,0.9443834219453034,0.8394435557017218,0.9701719346513104,0.9931522377908399,1.2205046679448357,2.1427187455771883,2.9447314380838114],[0.5844476578896681,0.457837376424757,0.4106207080945817,0.36678824446534936,0.4466901580999692,0.3724188915894138,0.36570427836815356,0.3840935169637649,0.39220446180947927,0.42602528486132785,0.4376462631278628,0.48707505528332184,0.49395556837181986,0.5091325354125672,0.644057580414601,0.5969565319600475,0.6445000113700036,0.6774021115198492,0.8291433337403915,0.7894432860534745,0.8568845675968629,0.9078442194517999,1.0463322228796028,1.2410483718845748,0.9848475217026154,0.9414965898070752,0.8050792447983544,0.6464807758485995,0.6290908858588176,0.5981875275193991,0.7028628524919635,0.6090208480042717,0.7451579025910988,0.7030696201691147,0.6343470964137073,0.6731687050277003,0.6187647555143365,0.6660187779701516,0.7002978591460056,0.7213264086608495,0.9126766454598422,0.845460878410188,0.87228823888153,0.8728585192534014,1.7164083607775913,2.1567215596073837,2.9574439695348063,1.3551598670517073,2.185769602563448,1.8883376191793835,1.8285098403199513,2.0447207398519147,2.1040916186934,1.9517963321640017,1.4321204149411706,1.003739107681026,1.7737759225663836,0.860525506713183,1.22791330637868,1.610900441278531,1.1592173985928407,0.8702213204519816,0.8018319259804336,1.0088730487374151,0.8995235611699968,0.8323726883489104,0.9041046251404918,0.7832914955025747,0.9164959796331648,0.8367150673654133,0.858971623943279,1.0614198470039513,0.8925964943639229,0.9635971255700588,0.7399665657517063,1.3553357634658434,0.7524625832768048,0.7481792743882036,0.7375993273894786,0.7592107952832576,0.7066232648229005,0.7660289729728953,1.22675268083897,0.6698513826501248,0.7921465082947088,0.6546836241793391,0.6895412963072455,0.6774400191659599,0.7089366623318062,0.6960035886541825,0.7410801354099523,0.951793132323003,0.8530764170936329,0.7648500191459873,0.674412892012007,0.800544731226824,0.7157506149003894,0.6422506488282395,0.6048813561666819,0.742464935864173,0.5746761462759419,0.5779836644556476,0.5802467256173793,0.5141108139495382,0.5933943362152042,0.5592642669261761,0.6159420566742037,0.5205003040617002,0.42764790517595014,0.6179930472971142,0.3857244142749753,0.4349334999793121,0.42348072835176365,0.4435574259581202,0.4958334269611624,0.49985608748276755,0.6044885545125719,0.6644831891113198,0.8319049720121325,0.6791592098515334,0.6573294452858924,0.5874106266830859,0.5691483628717938,0.4260818497337591,0.3640383506903188,0.4067883070497017,0.34071640735095315,0.37988327735384464,0.40588905211187787,0.4959695971763285,0.4501716276992961,0.45277601791658734,0.48475409195181574,0.5163557808585287,0.4923188024460452,0.5042490492681765,0.6962864994404596,0.5247780615979697,0.6055223284658842,0.6349950471913441,0.9034006222845511,1.0716870274885049,0.8436126365976433,0.7414318476250853,0.6463818285097018,0.5786945390746847,0.5342133581910062,0.5091186543663351,0.48630507073463647,0.4887957425453771,0.4986226706555638,0.6659259507435269,0.8303456386843139,1.338318754315897,1.2763338462950624,0.664861551109187,0.5602844397769504,0.5195972089634096,0.5171881391873723,0.5002373486755773,0.5234463760285759,0.5511405187791435,0.532389789325574,0.5904500625263884,0.6516919705420845,0.7177550702633415,0.659200649196637,0.8875579682370943,0.9325306331806765,0.9054489705461077,0.618832734335413,0.5643179184711672,0.5611635401228572,0.5289320823288038,0.543938651794033,0.5712651461464754,0.6025121398528743,0.6773112114038136,0.6059709956561697,0.5582031248870487,0.5713573771694074,0.4980841210089708,0.5403808973207468,0.5798093035169739,0.5970921779473229,0.9189011157794552,1.0568757958854595,1.592292065841493,1.8779047895453513,1.3728927225519632,1.8133553062799577,2.2321377501097666,1.5054273054130092,1.0608147661939704,0.6771755100353314,0.6648020654611912,0.6433966011569053,0.521567014876596,0.5282119425949293,0.5096252171625048,0.44282149190671605,0.430288128469553,0.41347047904193185,0.4440362228136574,0.4242216492328607,0.44989993493847363,0.5380260014429572,0.4956347393174105,0.5031211346283024,0.5100453457470161,0.5381666920688634,0.5675910487854683,0.5976450884646558,0.690481693457945,0.7396371543630637,0.7989790521809884,0.7858552591680849,0.7666141827848251,0.599436047232282,0.5584896924718628,0.7074660324743856,1.9211572695356838,0.9961400200057031,1.3028628673724223,0.6261369715956242,0.6104413380535746,0.6591137487323595,0.675178263115392,0.585900543391241,0.5214937152861941,0.7248617916068615,0.7602888885407126,0.7318162354913671,0.5811193878326872,0.9149963840644769,0.7920090471840708,0.7416767328202057,0.8415537786380142,0.5336764062832482,0.5639580526536331,0.6219230280661797,0.6495170655214454,0.7847471472120423,0.7295453974541869,0.789530016067898,0.6356473420783665,0.5587252621532283,0.7451081686382742,0.6032033307334609,0.5364669140625452,0.6701301308908846,0.7667621414165724,0.6036794068389796,0.5991600493023612,0.7004981355178098,0.7221333019663879,0.5857996310052254,0.5962943402511073,0.5623157962847529,0.5162972873100081,0.49603354662475374,0.4695931845146225,0.4825133067833757,0.46474940705203993,0.4847644705118452,0.4944666866854354,0.5326679565873984,0.513671036663929,0.5424548505542875,0.7077842515947911,0.6461082106616578,0.6560484644826362,0.7029353966636547,0.9542867328320743,0.9013116059828422,0.7556749607304836,1.057739766287686,1.1737365984819437,1.0274443088898466,0.832841004077632,0.6729933488592434,0.5979972540050501,0.8706070971829946,0.6916971903888612,0.7843181551415012,0.7972324590006749,0.6087477314456463,0.517779658861295,0.4754682159446906,0.46403895657478283,0.3961575566829819,0.3884754508316613,0.4170561390544002,0.8525473853659432,0.3789986188081518,0.3825511740474779,0.4922395944239414,0.41019433719004,0.40750928033986106,0.6481901123133591,0.6146456647500806,0.9549629821826183,1.9347397830741049,2.865169013899328],[0.5762236000434565,0.44629623384077405,0.36438499172975936,0.33397972617882393,0.39404267508553337,0.3369481388799228,0.3003191086931809,0.30087405856818733,0.31265248538500756,0.30677617306772104,0.2905387352795785,0.3772751894387664,0.3159822431681105,0.34257373364655547,0.4533104983442535,0.3944654775404329,0.46293840572074774,0.49699028816311436,0.6545711291740166,0.6080096348191337,0.7157461221655537,0.7781613879378363,0.9254445347732472,1.0724031832570775,0.847110679864631,0.7838204912580791,0.6442213771088892,0.5078068929503943,0.4588967369443654,0.42020663053316787,0.4926549729287463,0.4145577056244802,0.5538162877406115,0.5123197495236207,0.4218228618688543,0.4626587627597209,0.44301800498078814,0.5002668387363198,0.5234810711149946,0.5420893758153734,0.7453480837181476,0.6938617423990813,0.6915361462503978,0.7073854687036167,1.6041808916686835,1.9976102157054358,2.7350743473853822,1.157391895294333,2.138946074676194,1.8255153532339556,1.7406130513788511,2.102548434059351,2.1872569614566393,2.077059982105664,1.3954352710512006,0.9375734250795875,1.7854452057223045,0.8160559020748067,1.206841219330608,1.4422276221678425,1.037712898629289,0.7261328184131325,0.6086417647317331,0.8906573779540504,0.7421296619988799,0.6827593895139662,0.7795755929093432,0.6197857829251796,0.8130210976978401,0.724064942136963,0.7955408835417623,0.9949538596171328,0.8349426713749498,0.8411749141463952,0.5821839377945884,1.2484374495607267,0.5609407863079223,0.5266673906482886,0.5297338713710762,0.5720965895357429,0.5291347224768714,0.58868561078279,1.1854039013314543,0.5078983237309278,0.6392868629289051,0.4735183834232307,0.5137006750342104,0.5327613971031114,0.5201057264020629,0.508280270294028,0.5452787939077801,0.7394407433295765,0.6217291730266176,0.5433867129243614,0.468269222600835,0.6203283962847091,0.5603541807489628,0.48978601073753336,0.4618213741310257,0.6489378541369143,0.4318861650423959,0.4630783131490639,0.4152891470224926,0.41789039118265064,0.4805380910393452,0.476384184322583,0.5714800522242917,0.43447902378035635,0.3644501815907604,0.5727580143169042,0.31790685993885404,0.3314952879403225,0.3330879018373275,0.35486914369178446,0.39172147871543783,0.4014366985460631,0.5015941677172674,0.5564059277146558,0.6902128330307319,0.5454419112938369,0.5350949837923458,0.4816308872088041,0.4848318982806972,0.35181062030567495,0.28780716560425057,0.3152690881233738,0.2945105408984177,0.29557542109297,0.3146148084254444,0.39769634290645,0.35139602654924396,0.3483131347657458,0.3874842369526873,0.44530465039118966,0.4125602220954214,0.4394059761321164,0.6563432056965917,0.44903335077847284,0.5556903214794809,0.5297121820506987,0.8325539261666429,0.9465835422778853,0.7270173888013869,0.6250642563483518,0.5039249885455166,0.45078160723302585,0.41157509931312963,0.3866012922281649,0.3641407360373681,0.3787993066004745,0.4152531065834938,0.6033588860716671,0.8072393045670399,1.3412927871460574,1.2400631362145977,0.5762113350197707,0.4397793004540037,0.4099431243162272,0.3623807508716207,0.3805922147171707,0.4016992152467957,0.4190081210530114,0.4221158270644328,0.462353308470743,0.5118599441242545,0.6178648036789997,0.5764519064722938,0.7986709597866085,0.8763187341304913,0.8591241069692791,0.5459006314260605,0.4626540509177783,0.445794807653557,0.41545859098786403,0.39249027096423644,0.43892119350559755,0.4529340103947251,0.5629517114260577,0.45693103536633584,0.4210793890636206,0.45034300867864885,0.37923159583052657,0.41164663683885644,0.4468239828064016,0.49223605647270746,0.7645923804734623,0.9124558553878518,1.4340762859723304,1.8127112392113252,1.250912381868364,1.6761037623507133,2.1055783991969874,1.4116696457869538,0.989720484269641,0.5813435802757657,0.5538580987196474,0.5783882118929254,0.4217866640007463,0.44837074927743903,0.4319508976114781,0.36976422196520486,0.3644637322394366,0.34708923980954304,0.38424164586165993,0.37684708710814074,0.4075999212239028,0.5006244032145739,0.4432520681035429,0.47968122784559947,0.4819860671328697,0.508813064845628,0.5509343749897616,0.5858398325604471,0.6791252952741202,0.713565785642558,0.7478336733273289,0.7628650078053808,0.7219764285014059,0.5533313111527624,0.5327298568359271,0.6646564610462175,1.9599046379211778,0.9728512244892462,1.333671228848746,0.606137368223013,0.5739225740315341,0.6239647870175641,0.6434027201504842,0.5457822148746367,0.46316055777020376,0.6852266587298173,0.6935546531963901,0.7119887093753591,0.5217301452812455,0.8317999299843303,0.713321081575039,0.6659162766537654,0.7623290974382996,0.4558291390716639,0.4731457711092914,0.540853108163894,0.5968985407200708,0.7173716912631043,0.6892559797911793,0.7171641582872372,0.5713933289711458,0.5219857448823729,0.7079682078647438,0.5500288401877697,0.508383853139848,0.6593476346812863,0.7592729255977381,0.5908949220287544,0.5941463802862971,0.7066879003472629,0.7192109271354321,0.5792985236331244,0.5998735074190317,0.549336859564762,0.49942702396823224,0.46631953012949817,0.4333597827082888,0.4652304981459232,0.4428650760905687,0.4553282678281698,0.45958517126676973,0.507413284826307,0.46693290833677564,0.4874324649814644,0.6601313815921676,0.6009481718403029,0.5998204780432203,0.654401749987999,0.9171271701587637,0.8418668694083818,0.7154980056352078,0.9962061024233682,1.1312581453079873,0.9982509460685166,0.7850006158765546,0.6293221992239305,0.5519884127980036,0.8236249564879865,0.6349659292538692,0.7257876771581875,0.7334697639213598,0.5534165326770794,0.4573151532639479,0.4149682368405232,0.40032258314499714,0.3514754204773079,0.33582744665911773,0.37639936785369443,0.8392801152849363,0.3276671530297111,0.3616689776558875,0.4775870637058259,0.37251798807305814,0.4004344098498594,0.6494803614527112,0.5979193438668913,0.9355088181250572,1.8693285361951633,2.7871245197247547],[0.5547092717217758,0.4572414995607156,0.38746131842285725,0.3268685489464436,0.4228609748520617,0.31402678861865846,0.31439238218256693,0.31784388314658807,0.3559524407843935,0.3506435123328155,0.3317645711125312,0.3956841122172473,0.35614007424957994,0.38488626239860485,0.48882988378819353,0.428030756078585,0.4916999685635509,0.5201192802686021,0.6634842113160129,0.6357614153976725,0.73734255319184,0.811802485814776,0.936742375691389,1.113572865862676,0.9070195176289626,0.8218931011717469,0.6791758573250556,0.5268770538924248,0.476507662408354,0.45762258025052055,0.5252381313414979,0.4377989830244162,0.5549170450678869,0.5309780257099126,0.4539608296831706,0.5073731594208247,0.47592170561734576,0.5388522880020994,0.5548184768002923,0.5774425704515466,0.798731650605011,0.7279225548578431,0.7357144702464163,0.7574499345380369,1.6072129068660281,2.0024787718615396,2.7259940450736915,1.1940926857317253,2.1453778426999794,1.9334748907489154,1.7634257471698167,2.16324191310065,2.2054505412664795,2.053009189807056,1.4230504937345265,0.96790722976897,1.7903742425145541,0.7991911045518153,1.2579410787740877,1.5520389073272782,1.0537604183604423,0.7537678731096524,0.6494351624012503,0.9076734658363123,0.7872039579011508,0.7154995288480329,0.7911355737559178,0.6198163340244477,0.7869176657279568,0.7341737057335334,0.7898415237045737,0.9927666735982762,0.8208827330894582,0.84843199397107,0.608624792509615,1.2640107289361975,0.5898622070219126,0.5683804614789447,0.5750344218969984,0.6179896690565079,0.5491922190263947,0.6139658235510109,1.184029938234668,0.5308809345535276,0.6745809938270217,0.5069131744436431,0.5484014491499689,0.5506118920861371,0.5571228959962019,0.5377127498029795,0.5767330261807416,0.8022655888787733,0.6715934634069474,0.5602565813316956,0.48505201196822845,0.6260055523363082,0.5732670477446662,0.49273998814332126,0.4612894136180844,0.6253557715587951,0.44109762159141735,0.45390262386900476,0.43136966994389364,0.41670562128837146,0.5207763016155192,0.5219306890423002,0.5872256223007996,0.46981711067921883,0.41100861205604705,0.566984726382152,0.3455097204816098,0.3892547817433643,0.37202570483433584,0.39644132861831166,0.42054878548301056,0.4297374873920338,0.5229215566963723,0.576034599676688,0.7292695203491208,0.5517989239905018,0.560775978051686,0.4946219186060135,0.5075099555135469,0.37850666837835,0.35708291877916504,0.3743511610774149,0.3381848065231691,0.3531573215333634,0.372609221966256,0.4365447310879715,0.4046891077760855,0.41292043157127917,0.44944628757272204,0.4804271895412361,0.4625220224166792,0.5008112100571538,0.6997407350170483,0.4893333690973132,0.5622877127695775,0.5596725967290905,0.8383500343391187,0.9706786752404815,0.7244908029990911,0.6470252433133347,0.5488945882222108,0.4748136563033362,0.44636850169343656,0.4316345590154722,0.38764170352028576,0.4104847853653133,0.4345046471798716,0.582837127373158,0.7845231022653583,1.3098347429765425,1.2277173238982002,0.5539882352975899,0.4224603184591793,0.40227608231781675,0.3814291155531045,0.394901655440122,0.4247792342385577,0.44260467213286386,0.4635389226368135,0.5099909930604035,0.5498381456674658,0.6695467877043084,0.6468090573663586,0.8817560010960273,0.9674613116897807,0.9056100612878536,0.5996323699123421,0.5042757679867921,0.4947183702414543,0.4511292414988913,0.4308157038464402,0.46244491390968245,0.48801464113310977,0.5606138518754029,0.4875550159788679,0.4531099273789016,0.48716177819171846,0.4222098234673917,0.4650086631439529,0.5214109703248897,0.5585610299050401,0.7977424836742791,0.9368027438834431,1.3876369622355373,1.8998730022297305,1.3344200804137663,1.754086861728924,2.086189108028771,1.4663777749080458,1.0525242344484897,0.6500728282933069,0.6426703790124936,0.6039750218962245,0.47442894640677563,0.48741472456953777,0.4717781561995191,0.39856194378832066,0.389906255216342,0.376957588691396,0.39561906334880736,0.3908079407232856,0.41737358960742005,0.4954226613083788,0.46342348210203954,0.48241985186208813,0.4947955986036859,0.5266562571452119,0.5672077378867014,0.6020396526824182,0.6739463167443611,0.7341744679804016,0.7748509448870647,0.7811088863966287,0.7539963067307887,0.579315590387792,0.5454959994198766,0.731813887274204,1.8254792646161235,1.01597908624342,1.306792060432923,0.5979799555016679,0.5470134878477408,0.6181727568167504,0.6086949781274246,0.5718855212757297,0.4875229001953601,0.6972082311984034,0.7083812319545602,0.7329397653418677,0.552583697010843,0.820376452514204,0.7961962635832261,0.7115580938971324,0.807391596138456,0.4940431714329907,0.4878318657229748,0.540796287492956,0.5843886527913567,0.7048385055105906,0.668836221396746,0.6987163347969677,0.5687777105870946,0.5111739897666029,0.6839164308118765,0.546361742884647,0.5100328369444975,0.6469135086827761,0.7597979418890267,0.5946325266608657,0.5889234143687034,0.6942269132922267,0.7381036506840525,0.5889671309994973,0.5993239308705366,0.5494797403342726,0.4959711961021158,0.45859190034330033,0.42011981188039116,0.49291094452995854,0.4582740408711791,0.46548755083573395,0.4815917821176092,0.5252844255782229,0.4854392677361466,0.523550043015192,0.6918360793199684,0.6213023119628168,0.655004241045883,0.7050784304159295,0.9894124794992302,0.89133366861882,0.7437325089339435,1.0471200115209192,1.1430377055286343,1.0411186450253591,0.803713874034336,0.6434121499695512,0.5577615915583616,0.7936531152500979,0.6400069304783226,0.7585617234865579,0.7704099462035262,0.5843769801309946,0.4779557371774542,0.43660719489706623,0.41458803406346245,0.34580650245268063,0.3379346668998329,0.3600818507378966,0.806950767367396,0.33256775957158863,0.34899241535828757,0.42339723959795117,0.3498463462427737,0.34758909541117927,0.5669640603440576,0.5159430235309155,0.8639032030372396,1.7472018814629733,2.5186064433017594],[0.5363721874324172,0.42006597339562923,0.35101167174770204,0.3379492029809114,0.3657143994998515,0.31081999845670083,0.2473070860221055,0.2882437276164466,0.3286110181176217,0.2829512447684912,0.27419618449650873,0.37257334180786866,0.2705818903407904,0.3013973819779416,0.400415186745443,0.33441788860225174,0.4006676072567347,0.45947010810272176,0.6010219064564395,0.5505257688539921,0.6522415783755025,0.7116727315398435,0.8562210125744396,1.009758537513666,0.8071496427511281,0.7251154731407392,0.5826751843045335,0.45001807022270857,0.39246760090081867,0.37003351383711464,0.45049873839072724,0.3742862399533119,0.5419015173073314,0.4688143311807619,0.3757169921200245,0.41493392604781715,0.3891272135052599,0.4307039731432621,0.4468683512550275,0.46965558859921963,0.693859041315756,0.6252179224121103,0.6074805037658091,0.6401121988817545,1.5289739072717483,1.8973422577658752,2.59660141724688,1.040122313361073,2.110341718318932,1.8535765552262577,1.6956490617163276,2.1202217133532795,2.2441189445722887,2.1478823465478922,1.4127490485555412,0.9109652950987271,1.7844655459284662,0.7780575911343663,1.2181805622120612,1.375286173124593,0.9859269207144247,0.6718430006600751,0.5448265722068847,0.8602093645172825,0.6835507223548506,0.6106385324486253,0.7385578146705848,0.5871629706860882,0.7854915556631739,0.7046067198845587,0.7724686798585058,0.9943152528099832,0.8375951788901711,0.8348999924644414,0.5428609738900534,1.2132108957281953,0.5077469614327201,0.4883009343787924,0.47034278836272425,0.5120577061432661,0.4571499755166892,0.5277983915664844,1.213063991383436,0.44680264096036937,0.5699377240259197,0.4074179780884601,0.4495386103148769,0.4799923283528715,0.4589770837278451,0.470549493013684,0.4976861238176204,0.7195503848715302,0.5829495482047579,0.48328429494118874,0.4174634864394221,0.5660366076571672,0.5210553936552457,0.46929570857177466,0.4500397287433009,0.6606513760494187,0.42396519370549396,0.45060496579522885,0.3720139936352504,0.4144641226705643,0.47519630421936787,0.4689590570391616,0.5871870530172094,0.39205096811011403,0.35339139519885715,0.5572137505374876,0.2980297809828369,0.30459650251629067,0.28451865001878285,0.32428173751148187,0.34513204179814944,0.3602648696121178,0.4493532890311927,0.5132082128870956,0.6364939090254771,0.49407958545936076,0.48127994203594343,0.41213027420107773,0.4278393018579935,0.3089592774147483,0.29453506554705705,0.3185613545545115,0.30628412633226376,0.2835062009398837,0.28801864888514395,0.3452983032813548,0.3111791568042603,0.3075981015529669,0.36760398811846323,0.43325008893397127,0.3934228623897738,0.4415876326189631,0.6995199273377978,0.4400270750253553,0.5403309979869599,0.47829684815314066,0.7855564968505189,0.8522141906870175,0.649280051818818,0.5742252473206843,0.44249081384189093,0.37637004032556387,0.35475828160927736,0.34641594444091217,0.31845303565508026,0.35908491978622065,0.40133401183232953,0.5567243154253035,0.8437853613878339,1.4018895756491572,1.2492084525047205,0.5705941101951447,0.4080680369255831,0.384360179713831,0.3198813033026704,0.36188519914824124,0.3596392913622015,0.36804649881587015,0.37963217619153045,0.4075634226170105,0.44995169628495413,0.5795866988549911,0.5636531662317911,0.7965177328714337,0.9087765331229051,0.8676306747706298,0.5443080425076154,0.4294417040498432,0.41006490664929746,0.3741740294312941,0.34207567344191026,0.40390802723028163,0.40684939339768117,0.5392852536970578,0.4034702640361647,0.3857092500383661,0.40130573298357286,0.3542724412822831,0.3662903870211873,0.40762254611375676,0.46024473943638133,0.701492155573248,0.8562614014574971,1.3137044812196847,1.8272237541391823,1.229620337885746,1.6232029690404186,1.9875654759443624,1.3734015189763173,0.9852676433483298,0.5617105892362512,0.5286445010333136,0.5912494057579093,0.37610673068859546,0.4125618859465713,0.38533639112261203,0.3397109125462526,0.35821952348948605,0.32744087537591243,0.3612248868746209,0.37361121677068787,0.39289363784897735,0.48990571472994,0.4491988274153092,0.48750693476694873,0.48346543585946034,0.5159220154502622,0.572349106859778,0.6050727270474511,0.6610051966224337,0.7036334543771456,0.7564980575193938,0.7619979219007439,0.7548803693486199,0.5656682415286892,0.5498895261874188,0.6951838264171636,1.9446983350710854,0.9956989499058742,1.3465964535753405,0.5969237234108002,0.5728621759171771,0.6300908500075708,0.6140159166298989,0.5868701490982596,0.46198069431156413,0.6737654064049193,0.6457814311665633,0.7440720779792331,0.5118555417745142,0.7763969594417469,0.7156962285357334,0.6513113352501526,0.7674692393319684,0.43107929050438343,0.42141635715392767,0.4760158152778259,0.5517805057361372,0.6794341213805809,0.7236741728698929,0.7074617495470075,0.5655202388376134,0.5418334873125791,0.7136257413309443,0.5581515515463176,0.5138523678119635,0.6797321679588985,0.7818682672171284,0.6223362097120474,0.6331970383289184,0.7420245158948032,0.7563500211967467,0.6202817867786502,0.6403630101058558,0.5822525917677684,0.522163211543121,0.4757242534975878,0.439337497495476,0.49570802740431463,0.461990379944985,0.46293395618171485,0.4696036854436248,0.5180082678352427,0.4621583722349068,0.48015504719912405,0.6644490573997485,0.5943739132531247,0.6111700690003548,0.6412155292308889,0.9497460831438619,0.827550662927712,0.7141543289202203,0.9380049692219791,1.0722237422113685,1.095910223747649,0.7909530461184933,0.6310378833928506,0.534849390492327,0.7827988373809998,0.6261250544628638,0.7171179070031429,0.7212704617974556,0.5451005598473978,0.428676073335474,0.37808465648350836,0.3649509900144495,0.3152919156206062,0.3179660663748045,0.35342966390604086,0.8005419068741046,0.311789469519261,0.37194109080284604,0.45853692597280205,0.3515855386106159,0.3891392621382371,0.634102259983921,0.573455407849143,0.9221677492695256,1.7200197169149223,2.576665723219679],[0.5524435715052269,0.45039720953853385,0.3970166968253487,0.3241769907164789,0.38954395923049945,0.3239849090390868,0.2996428991493455,0.31443010009079847,0.38640093564089645,0.35044437564435826,0.33873946222008255,0.4234819963157183,0.3387827148203135,0.3958800654762613,0.4680873616872507,0.3988044770394907,0.46462390141575516,0.5002450116435031,0.6120761651087195,0.588688631410244,0.6781969317260903,0.7575326271900596,0.9238638776022221,1.0360165591592723,0.8770446438979919,0.7596900495209937,0.6283393913389763,0.49254946856023246,0.44300930937300603,0.4146115132129002,0.49413389141450076,0.4055023290765858,0.5296165856313659,0.48417658005797554,0.4109128582128996,0.465349251078021,0.4352994974448631,0.48154611928443286,0.4847903434471342,0.5110879900856811,0.7657888584710042,0.6597427363570736,0.6569109442262607,0.720569784438978,1.5609510540981637,1.9295540619131752,2.5751549908283766,1.1181925599593099,2.129784976470547,2.0508612665290427,1.7915842269161861,2.2669784334957477,2.3429312406627414,2.2149576926986665,1.4608186765912012,0.9903198838797662,1.8678187444725738,0.7844577909631519,1.2483465619395666,1.5320477651927713,1.0202386814041646,0.7239691027551438,0.574400646923518,0.820177669307479,0.7316272114379363,0.6441505842456322,0.7323864602332308,0.6044927464686936,0.7536022992675981,0.7586925417119526,0.7766450235515503,1.0125013434485026,0.8431539211490019,0.8508704442006605,0.5826488397588804,1.1872201223139407,0.5495473010222689,0.5259595443322715,0.5162563192940987,0.550341292472431,0.48907441241334154,0.5492816804065206,1.238960462522408,0.5045858178587033,0.6253141974210744,0.45824619344439366,0.4945696886205316,0.49790773627689977,0.4985445187125311,0.5085101486200295,0.5313474267521598,0.7763918253825998,0.6322195445418851,0.5058533880031955,0.4568728905425315,0.5710822009389755,0.5506605400232277,0.4773918686950329,0.4556459563585042,0.6128382939830929,0.42683494302030917,0.4462329168630413,0.3845823580388668,0.4300394207260091,0.5095470332545868,0.49466867268279185,0.6048479873513943,0.4407985194831587,0.41056302611836715,0.5633625969945393,0.33492226838456196,0.3579494428322351,0.3420759166228252,0.3814443623664809,0.40630147149377616,0.41103973064330374,0.5115915118604373,0.5859053345153382,0.6742653972699044,0.5129498666000447,0.5306856941641295,0.4724561780604764,0.4673093586393835,0.36729771227148095,0.37044629533019835,0.36928969478291707,0.3591423657953934,0.343772714800701,0.34372166858655306,0.4131364609320059,0.3719263002467921,0.37117391769881763,0.4464442127667437,0.4915253249047722,0.45932873952762526,0.5352275045809208,0.7448342311959404,0.4988742237456853,0.5268199431512557,0.5043250078094904,0.7986093091848553,0.9218846958509928,0.6441625722816583,0.5746375854863622,0.496502187393155,0.416300050112169,0.4023135225721538,0.4174285812189262,0.36589495984640186,0.3956151611979911,0.39760922781660907,0.4962985719621261,0.7880825270071633,1.3182465407258979,1.184089196862446,0.5225310543366761,0.3946451540498606,0.3791547275394673,0.3684811409739206,0.41043643097105403,0.404767858538019,0.4253294730275682,0.4429260600056326,0.4813667677316657,0.5041501618521356,0.6363660123691542,0.6318809301288013,0.8930810574856618,1.013346735013373,0.9148951595975262,0.6011896704260632,0.4988364010851232,0.48686108381179993,0.44926088552286136,0.4034501925948598,0.44348514690632684,0.45194053805605194,0.552162676308253,0.4639735081554643,0.43528349982490133,0.4744377013997643,0.42239162840339667,0.44552229192724296,0.4936146980148611,0.5325670900967985,0.741946256159391,0.8892282019913292,1.289503351210282,1.9544811574424565,1.3441125845206434,1.7030015223770778,2.0041170660459713,1.464371507229789,1.091401306817252,0.6635148054731603,0.6192936058553149,0.6000483342700483,0.44619441365649687,0.4668415404826206,0.42793715108529345,0.3967550608697723,0.38586739159282885,0.3688994306562802,0.4103122976253831,0.42782644286525046,0.44076253281958744,0.5126319391307946,0.5225141098225992,0.5450596398709024,0.5525292902912011,0.5858642797421916,0.6502940060120493,0.6869657750909145,0.7120021821457971,0.7963756981745085,0.8377419434175372,0.8651162376779845,0.8279523688054754,0.6376865116750847,0.6309600718248966,0.8271776197493271,1.7703741503820707,1.1032073360775698,1.349798284689482,0.6387744884306874,0.5895912620961972,0.6487658629973028,0.6011344825384607,0.633550580924963,0.5244616624626381,0.703666546578658,0.7154021168733525,0.8049078330105047,0.5907386826839991,0.7890727606465563,0.8480305278883313,0.7110205103376299,0.8270671401555669,0.5033251589922444,0.4579886647085488,0.49446340686761275,0.5656552161519947,0.6789421480527511,0.6937763190341092,0.6868584225442264,0.5757961947640262,0.542905384429897,0.6620543490253661,0.5560757048770142,0.5144480895953467,0.6656030692168741,0.7757749106121106,0.6445910891916138,0.6582955480132008,0.7575332410245681,0.8385317281605146,0.6853755019198459,0.6963795528871141,0.6335611139765879,0.574516514299631,0.5110344131411216,0.4835824932670412,0.5763147185566947,0.5217212860402095,0.506682179220632,0.5441396306745464,0.5772092987792058,0.5202530373572017,0.5441090879667273,0.7482950631350205,0.6449197383753855,0.69289491855734,0.7270133226123524,1.0378020019864012,0.8994520214516893,0.7601770732194063,0.9973581111642409,1.0895401340325412,1.1499073289642479,0.8371714690790134,0.686764364817742,0.5830939942439269,0.7876784415314606,0.6496872067459118,0.7528813570309253,0.7236808060349842,0.5822804706599688,0.4604148026555475,0.4184526798480694,0.39470100429791677,0.3457769331746719,0.332296684784452,0.34853030213730646,0.7123390095722442,0.3243151574763098,0.3775703345498231,0.4257037501102723,0.35793468005479234,0.37667049681249226,0.5469315002686376,0.5022993753611162,0.7772136782589716,1.463518309924852,2.083252207103552],[0.49881943673234086,0.3951940730635227,0.34270994401190163,0.2885610510073864,0.3554495955725835,0.3316386577006907,0.31618828197436066,0.35859421623068927,0.4099892742797799,0.32740388158576433,0.35219063097798453,0.47057216902630505,0.33731728797676963,0.37652665180518624,0.4354724386545939,0.3732068802980485,0.4083732547188717,0.44498615007578995,0.555161179474057,0.5203943714513763,0.5814462176530335,0.6700978213313639,0.7973331452769968,0.9008730669421569,0.812701249675677,0.6740737459843086,0.5391227137139946,0.44410912797888163,0.4084032901154606,0.3926727298820475,0.4562454424949915,0.4050877823795931,0.5200813783306389,0.4776778678492929,0.39396080738545486,0.42389984110891143,0.4069576036831081,0.4491662573335771,0.4191167906402075,0.43200329942959864,0.7023861322848066,0.5838399235101763,0.549364543758651,0.6300125344544724,1.3873776759535632,1.7684368093772265,2.3155894391643344,0.93309299004203,2.097424430024673,2.09190737332292,1.6810951402807517,2.259416186328805,2.383050307815568,2.3203342326976877,1.4621434616341757,0.9580305215123659,1.8368824650938718,0.7379424188873079,1.3119177468242607,1.3833077522023973,0.9246709546092776,0.6765612593602242,0.5295846682740399,0.7896204843292807,0.6473546715740551,0.592301146268759,0.6693636852678475,0.564971214229303,0.7461906950535502,0.7287804707840693,0.7991319573763055,1.0340810832172305,0.8532445686248891,0.7940582005581214,0.54053986125541,1.1342523552778796,0.4889034529162609,0.4754357590681631,0.4724367301315503,0.5091395637824807,0.44623550298867515,0.5217849434978201,1.2349861567311498,0.46645896425551614,0.5266804135010159,0.42610550404746594,0.44203477468409985,0.4968131405470363,0.4422275610069596,0.49405966200343915,0.49736590929963664,0.684689074854589,0.5585944245891467,0.46501128162165917,0.44062627509737284,0.5442686554951212,0.5541299544378074,0.4853558226604673,0.47147773663779274,0.6397185458405008,0.45100314022407184,0.5045629329129777,0.40836288042493596,0.4652820751251145,0.5186277182558515,0.4631801333516325,0.6317517049563156,0.43843899382623575,0.4211218857962043,0.5546792660003494,0.3582141697919116,0.3553104167635274,0.33588157531889645,0.35599930250801176,0.36482321445499977,0.37329807415890276,0.508222699501513,0.561806488016869,0.5687546287484809,0.4637246857351238,0.47602671766730226,0.40625916353731023,0.41495910794692664,0.3196169461410576,0.3376805887312711,0.3589512147487245,0.4238009272225541,0.31005443221606416,0.32554062554741686,0.38619584428710513,0.3340427594228477,0.3506328892383584,0.3909708501503051,0.47049378111503826,0.4072689473994395,0.4877560585328845,0.7234716960323821,0.4304957520258021,0.486195372009418,0.4435462535669844,0.7403100477646472,0.7876023295704382,0.5973079242449756,0.5393594782531477,0.4459062520937461,0.3717078708484036,0.3570746815707847,0.3694599633344631,0.33846520076532943,0.39571309095399243,0.4376552220266987,0.5046528802413297,0.8441148672004662,1.352900781878629,1.1508645574366283,0.5431089069882014,0.41689395034508087,0.41176466020984975,0.38722304868349267,0.42573612851874193,0.35405829036121245,0.3745465017623242,0.3796719959789803,0.3986013623690119,0.42462918368487285,0.6018415686258242,0.5755585879834503,0.8346713467881524,0.9745790077804956,0.8761473951043937,0.5587524175757499,0.4314779028090411,0.4129683271109689,0.3891947375105656,0.3655371188600067,0.42176604969353537,0.4355712575378704,0.5641584341430084,0.4184614049614211,0.39852631128893456,0.42513236582522623,0.39375861638271614,0.39057814094993015,0.45142710200312713,0.4831062389965396,0.6663798671143059,0.8240108836524896,1.174209055700463,1.9052941216330905,1.257482973410103,1.5142001584065283,1.7627405894828738,1.3033307413795716,0.996799631177919,0.5818491623929788,0.5617724212283194,0.5842579114530199,0.4145779088556885,0.43080666432108505,0.395913598126562,0.36920759111296825,0.3812678892302653,0.3519621949827896,0.38375756599054406,0.41975064406066365,0.4378568036396451,0.4656919613846181,0.47531294582958794,0.5497348114900584,0.5212452325130353,0.5350367867308501,0.630539395810528,0.6857064184756617,0.6665006968640389,0.7378656659071877,0.7565004367452058,0.8094720667659672,0.7754884808858029,0.5914027224967038,0.5943525405169966,0.7724250171231509,1.770319723181325,1.102388133631261,1.4014810304042782,0.6473632886422288,0.5958094209008679,0.6728841154841717,0.5971728947602053,0.6699644225718847,0.5084314849115142,0.696278269234282,0.6626180080129725,0.8148146574196784,0.5854466431310617,0.7518676937279766,0.8287239021937717,0.6871116675021857,0.8030229383935114,0.47062617786595146,0.4169247277998992,0.45369642015963224,0.5355511148647925,0.6397350067366159,0.7217602385146451,0.6602333911120616,0.5656868686260205,0.550983850725921,0.6864832774847479,0.5580416062510342,0.5351366029777948,0.713350993078216,0.8210474171025534,0.6677630994814311,0.6921330326356776,0.8111487201226885,0.8811368952258093,0.7112150973571383,0.7327882035861428,0.6567251063743316,0.6037988368409604,0.526019758001916,0.49671280407567264,0.5750139764582032,0.5186022400360363,0.5086206288063595,0.5312740937883191,0.5620163157907739,0.49475588786493685,0.5239785240058077,0.7109133676526749,0.6054442018155491,0.657268279252379,0.675981735689473,1.0052967164780446,0.8425011202468332,0.7389167373052709,0.9147186179050685,1.034522905620786,1.1641836146660192,0.7918702571622374,0.6226948813248687,0.49674335691991317,0.7327243154128265,0.618233378119356,0.7258821060028268,0.7079750757296436,0.5482810423015372,0.4218344577145029,0.3919003564851579,0.36836777833292644,0.3389227776957301,0.3402724113540035,0.363407626382232,0.704489691551376,0.3335342498125744,0.38270341836960864,0.40216391939747753,0.37118276595153904,0.34434366532478894,0.5396168712157042,0.5102622166682553,0.6843609745164134,1.1832774140411442,1.6837556340099915],[0.5085954291518479,0.35834025182421664,0.31550374473231957,0.32717139939496814,0.3282277071151829,0.32295894614994475,0.2750161055215915,0.3364674274144126,0.3600455991833738,0.3159266008982438,0.3591846682491558,0.46182158081693825,0.34822591494663524,0.36137610695666833,0.4547338221539756,0.3993237359941862,0.399991454099685,0.4503893325373436,0.5634081747597502,0.5112671125929068,0.592356663328177,0.6561326867657342,0.810710775996607,0.904059605996432,0.7911973814451239,0.6768328459965918,0.5369831611411024,0.44735356528667974,0.4089987388898895,0.38757166084662487,0.4689794172981228,0.4134632664461377,0.5240720560937562,0.4870490388873749,0.39631136295573677,0.417871718688858,0.39745405866917255,0.4308136883595091,0.40769396362378924,0.4154412904261767,0.6788663033691389,0.5748342491725041,0.5358206260990219,0.582756888086587,1.3971188353293431,1.7520910662626439,2.3241601663111613,0.8896275710204011,2.127461465968087,1.9956698017477563,1.6410081591736303,2.217866794359763,2.354000248376024,2.3084816595302677,1.4477513934508042,0.9266454392767423,1.788965228445001,0.7783778919010842,1.3177557424737687,1.2394653036417973,0.9052076218461428,0.6781625385027541,0.5329376506360175,0.8434283365954632,0.6362913125832488,0.5938791468789686,0.7065943601804795,0.5895296133007037,0.7995013949221159,0.725042562461203,0.846002109474654,1.105396959292,0.935491465024047,0.8468303107003647,0.5703094788032597,1.1945047159633295,0.5041852788656446,0.5002241410027051,0.45439069792862213,0.484819841111226,0.44310433216809497,0.5077008562495613,1.249400922637372,0.4776734869971872,0.5104295575450396,0.4084396714218279,0.4311509875266411,0.4629178519437867,0.4417066837117069,0.5087995116841172,0.5197490956697558,0.7185928263235837,0.5780594844304903,0.499823890103676,0.46582930127533784,0.5693872259856679,0.5754536297780031,0.47903542124754245,0.4618268805321719,0.6393093628018818,0.44720300232299315,0.49552407134091453,0.39319605550966213,0.4491143114220468,0.4766522880934801,0.4847495191551381,0.6629985140441546,0.39869334567993847,0.39986123845174754,0.5666753856140597,0.3372674047458383,0.33003374805439156,0.2977884438820581,0.3451699916626772,0.34310915111006657,0.3737682956122872,0.480450917239627,0.5173195923647529,0.5724838933052215,0.49278908395172816,0.4708798412597794,0.4083541081880004,0.4056072973740087,0.31761260311392814,0.311965882533684,0.34777636739781387,0.4221499980830117,0.28992831190709784,0.30204981986778967,0.3461638589983349,0.32582455880985856,0.34584589145862954,0.3571591804695765,0.4521251599435122,0.37688303265081086,0.43924396136764304,0.7174129889370682,0.4162257630049171,0.5178582784963821,0.44671316788403254,0.7405265591090654,0.7626343672453428,0.5921284496048097,0.5308109487584762,0.4179848435161335,0.3667426800750752,0.34501318473422454,0.3510675216889024,0.32624016672586625,0.3753350463819025,0.3984079686487308,0.5076364845856414,0.936201244903354,1.4152864443210371,1.134573770261388,0.5384921804093133,0.4070004926293943,0.3894431088713781,0.3588120723380998,0.418999029748629,0.3403089157810139,0.3613229922691165,0.3659385883408466,0.3730179958911717,0.40640663308072994,0.5749283567839202,0.5490539536536074,0.7850146587687038,0.9177491453754313,0.8576005708447058,0.5403054239980251,0.4140163669482726,0.39310121255190156,0.3723759553472267,0.3344919091319851,0.4216430905043524,0.4184358325550762,0.6051944285480955,0.40766423950719977,0.4036792716144353,0.3836555163962823,0.3600171567110983,0.35608539144777135,0.40208170782090674,0.45242759255273957,0.6439096900434963,0.7931889248299828,1.178626685676305,1.844140170423128,1.201695115802459,1.4355505002395825,1.6910198292201029,1.2047766081770235,0.9071327712682472,0.5152409013196871,0.516115291370975,0.6085924535489217,0.3885605166025707,0.41278012639506534,0.3999137658849314,0.37597754561311686,0.4193186416508027,0.37941575221368123,0.380251708679657,0.42934993186528086,0.4353101267526543,0.46455300645020015,0.4691996543854929,0.5329763833766027,0.4845043745836199,0.512572970670213,0.5975430312666636,0.6256351932499938,0.6371219399701906,0.6981664051371618,0.7437414168937125,0.8057834477092839,0.8076330954750208,0.6045554277125115,0.612662957253484,0.7576973702081332,1.9306593441865936,1.0914421458700456,1.3968433136359795,0.6131096110482039,0.6097941736089321,0.688832939426419,0.625086745189089,0.6859098752166035,0.49675350106757554,0.7100226593896207,0.6327269634525182,0.8231436602614275,0.5727710966515218,0.7590804897117422,0.7488399129390994,0.645399074700065,0.7685885510018587,0.44412655715485505,0.42972592786930514,0.4720723687264703,0.5693312040574136,0.6775038020478537,0.8068377647148115,0.7086681590682076,0.5958847590391307,0.5989333880086122,0.7607556614843926,0.6104667909780868,0.5671884600400535,0.7670020941930055,0.8595668328980288,0.6815495422547275,0.7147824438238739,0.8404338756882308,0.8535912234648408,0.6934310425011053,0.7294224200730718,0.6521896930303018,0.6190404470221107,0.5536855772863565,0.5127031212992356,0.6065155169221487,0.5183266636053712,0.5115357236476151,0.5317496698250942,0.5627718676680876,0.4936307299000592,0.510620592237415,0.7029529977371101,0.6157662759390823,0.6309939134944609,0.6730208359427331,0.9998660098874473,0.8329823536128959,0.7639829923766478,0.9016815963889826,1.038083922873476,1.22031907821503,0.8154148086175101,0.6449028290717973,0.5153049220497489,0.7696956602715521,0.6530831290863549,0.7389299688825052,0.7141550132283766,0.5502145251938231,0.4137781332506239,0.3786615639347726,0.3559780518066418,0.3442982375667357,0.35299387394960136,0.3791618014195294,0.7341641338389107,0.3376581000113837,0.40237855606105905,0.45106417628423884,0.3750575989171108,0.36775634299810134,0.5604758340057691,0.5817950857709182,0.8148561469096542,1.2956166242121667,1.9725858157744571],[0.4799227572956532,0.32554261692462766,0.28470959790735334,0.27055351120664256,0.2866344038736842,0.2887266027181918,0.2465179439157948,0.30386210740867214,0.32667863817847975,0.2778603815878743,0.34388935256563763,0.47071291080028704,0.3268383714345473,0.35787514645848334,0.4229056434715526,0.3696860168154058,0.3693195323153836,0.4047582646319968,0.5017859069832838,0.46551599944503885,0.513360255339333,0.5856527780611767,0.7249659426832649,0.8183818510814648,0.7459700022305419,0.5982972292811762,0.46927142242860587,0.40446196969988096,0.37686877491611837,0.357672558720881,0.4212236749716849,0.3998881856817268,0.48172921930521917,0.449608365617889,0.36942025814774243,0.38322522127604103,0.37593571058727354,0.3878489513897819,0.35293431194727604,0.36237947448500607,0.6376836073212624,0.5177294626169138,0.4611790195026001,0.5994305162718027,1.30689300216525,1.735105239816745,2.141276998082772,0.8933812715368737,2.2062392026680975,2.219986054237982,1.7011791763618431,2.348788353068393,2.5105882033804883,2.5147327653214004,1.4825760138928452,1.0048512031110508,1.8782465059501465,0.787931861139967,1.3293644068192805,1.2486049141091695,0.8502440842859273,0.6538444652141845,0.4771268258698875,0.7443031437903311,0.5669786235325012,0.5349043849653288,0.6258161575958743,0.5453164408270404,0.7175893847443654,0.7337682789888774,0.7966213200637807,1.070226711244831,0.9189625252620826,0.75965004065013,0.5153669217717012,1.1120053368495584,0.4291881244537613,0.43343611445490543,0.4057780475853013,0.4313654238836266,0.41390018701596,0.4854534685099466,1.2047988255102824,0.43759239529455507,0.4707190547917284,0.38677391207589135,0.3939099524618242,0.46041269692776265,0.38499750928943416,0.4866188309133432,0.4510579107642242,0.6535373970158103,0.5115718024922487,0.4574041985550057,0.438109080251736,0.517986076602907,0.564733512634617,0.46302977867071654,0.4557364530849349,0.6558033714814929,0.4346275328296603,0.5184872917799169,0.39655081837194156,0.4500413794873799,0.4676422786098783,0.46021600379755484,0.7027810467631995,0.3803811975765626,0.4031382331658963,0.5399573919166962,0.317922579681189,0.2952301903557721,0.2646582357748168,0.3065927464845522,0.30427984587660883,0.3521219240328486,0.48721972161737703,0.6188123559552793,0.4819452789221109,0.4411303296356029,0.4319317410518835,0.3708267943063239,0.38088534049136236,0.3092358966206003,0.28356179051927727,0.3540263876668506,0.45470893437237336,0.26854700544748394,0.2769908481981756,0.33121129908785313,0.308881313113783,0.34407109633735045,0.3360929765513699,0.45762281709270064,0.35940546764300035,0.4446000602928294,0.7039409708029094,0.40891362565052686,0.5293855431794262,0.42985203758296153,0.7164518290655993,0.7048612979129502,0.5388853060246234,0.46969416082781906,0.38307252728514946,0.34124241011259715,0.32119820014632344,0.32345796321830933,0.2915954600158768,0.3423930830589908,0.37261878909092877,0.44635973798963524,0.8741353244746157,1.368184200753222,1.098573825736673,0.5276602368152994,0.3987468722386627,0.3906381200318568,0.3473902419325829,0.41500237910270227,0.30933164199607843,0.33644682371672874,0.35754828433351393,0.3569493790691121,0.4045936563933306,0.5630214522673753,0.5242555682894897,0.7549654727928443,0.8890342627088684,0.8225611318907369,0.5125547226180661,0.39397834790564656,0.38122668080767974,0.3715732793580351,0.31375439021030715,0.3839548115044591,0.4023560247003024,0.6145617311762382,0.36590780006295004,0.39353531896785127,0.37415571312841583,0.34527813711240096,0.3461986656106444,0.40470827095414363,0.43006166363639725,0.5850800099391416,0.7439649356096719,1.0643260070735914,1.8767384048197702,1.2217031662403535,1.310057318302453,1.4991879829834154,1.105736706203037,0.8609592635424844,0.46749507633260584,0.4641503236136438,0.5751636168162235,0.3741620643473113,0.38900757187488216,0.37817491014057236,0.3727971645455998,0.4081196361098215,0.36055543512911303,0.37530291138994865,0.4335736828749094,0.42725821501051015,0.44512010205364144,0.4686644036832473,0.5360673384055785,0.4783511075131212,0.5143620597724993,0.5987906293582742,0.6269674354992061,0.6307441275566259,0.6932593131454592,0.7375469375015502,0.8012357767545419,0.8200496457318631,0.6172132094743812,0.6234794172122649,0.7676940917788195,1.9185842632911625,1.1185523428309443,1.416480462471361,0.6232567000205351,0.6178639342698066,0.695780208278009,0.614247129036942,0.7160273545225295,0.5135960948409422,0.7323838461091569,0.6370731443961335,0.8443741238050929,0.6016980645957947,0.7460173048082941,0.7475307238608236,0.652223678864708,0.7422934612066979,0.44459466749052645,0.4172138476537312,0.44259690966915294,0.5615176876283591,0.6584471185874285,0.8145894889888041,0.6729602556966846,0.5831104493511731,0.5982446027562435,0.743191484509653,0.5990215509851853,0.5578466295106085,0.7607733735001007,0.8493143779594656,0.6828583817641652,0.7269653779687414,0.8425252782827245,0.8809701429962561,0.7062902709148496,0.7432974939543538,0.6650167359695296,0.6318190247225058,0.5577032322162286,0.5246376997428226,0.6152336019203618,0.5213288905339554,0.5190544373971561,0.5405105524990619,0.5683541216010556,0.49879251217562887,0.5190550328033199,0.7182290299938864,0.634568937062786,0.6372983377611102,0.681836321841172,1.017704212842804,0.8413541890976861,0.7910562370081393,0.901441545330723,1.0362518265565526,1.2496488826447,0.8327293935089979,0.6507098836070124,0.521994158379647,0.8021007344541496,0.6829024718864884,0.7558995438309015,0.7378946122220035,0.5465511318536362,0.39479157891803035,0.35651988863411205,0.3186696583377361,0.30366873869149963,0.3197654067587247,0.3465531992834776,0.6242007178063097,0.3073861825169719,0.38873834280233754,0.4087469719196154,0.33375388567616765,0.3342644712192681,0.5171097321435814,0.5642143007221634,0.6618802074693328,0.9640257258584408,1.4649533904208039],[0.48749681631471664,0.35188114349773436,0.3053235710672373,0.28158630733057094,0.3332956935304587,0.33839344884833605,0.33064061397806677,0.39103374588885675,0.40807019085336144,0.3843155610587732,0.4228225504687165,0.5271665498638596,0.3998488050640275,0.4436100820524975,0.5158729990484837,0.47553566919862506,0.4761161256296971,0.5196377304810946,0.6178974852302958,0.5572275461617933,0.6386879826780336,0.717825524584781,0.81324729729148,0.952359405636702,0.7703445431275134,0.6806352239089964,0.5644475644459783,0.49190153146229987,0.48362870816101183,0.4658572754270113,0.5510838609027683,0.4985483599052466,0.5735736797064653,0.5589313802639038,0.4770119409397957,0.49411815039605306,0.4662947772242087,0.500695096396563,0.47241196021748455,0.46912473357060114,0.7629430365226948,0.6024295629183931,0.5578415317801712,0.6534006997681923,1.4015120458435746,1.7272246390635615,2.250007244297033,0.866142547053261,2.075084433314469,2.0431148907067147,1.6162621666705066,2.219242244659098,2.428970382637639,2.390548088959278,1.5368416575335369,0.993310681259507,1.7994167197078768,0.8266680710031341,1.394102015414215,1.22895978508961,0.8607554784197226,0.6714240998783877,0.5875333260587863,0.8652077841910043,0.6386079567729206,0.5988625114674605,0.6887488260456652,0.6391335089205206,0.8142492432283537,0.7990878244964486,0.849881025945502,1.106225610182831,0.9547816484914257,0.8593245291439375,0.6170228414148149,1.2362655615192217,0.5364506862806258,0.5975987882796001,0.5252949144800738,0.5279974702309295,0.49734906191083755,0.5739441451680606,1.2950287094242976,0.5159946085312245,0.5485290655082045,0.4764449583660984,0.4930659477789416,0.5087304179160655,0.506616165394064,0.5785530726062869,0.5637652237002673,0.8025701536644285,0.6436204007260335,0.5797124453166668,0.5555932127447778,0.6416394753812401,0.6567673766240473,0.5477321394907015,0.5168875685697032,0.677717260224076,0.4970435805293732,0.5354842818939997,0.44022269757627047,0.47185230723420696,0.5128666044637739,0.4697370901419922,0.7098445523096529,0.409221814033105,0.4290250880088825,0.5755008747873188,0.3459607720894205,0.36288577285474355,0.35922805502763694,0.39413234770837546,0.40714593135914845,0.4390471868925809,0.5481946954788409,0.6421724786833204,0.6108288735475861,0.5473045285814803,0.5409987497721315,0.4784688902115613,0.4858632109727434,0.4142915575519305,0.3911442292306055,0.44789579153006726,0.5449133082746734,0.328800202347841,0.330459640872591,0.3773558399881043,0.3456652994955499,0.38613775377202814,0.361439203098932,0.48985634996875727,0.38039711451640307,0.4433088331664468,0.7126514245827349,0.42762517110266934,0.5192787059545555,0.46838930646844645,0.7576575137584625,0.7885049344881596,0.6381592448973155,0.5421709188760424,0.47124656956836225,0.44033872946117497,0.41218605570664624,0.4174144837275663,0.38845077905519154,0.4266566319403807,0.4193149370720969,0.5038741155420101,0.9688472398108402,1.4023595689853927,1.101338920709951,0.5550319633158182,0.45229749074410264,0.43706542566429146,0.4073052207216019,0.48466105422884354,0.37782756506719106,0.43213607163049433,0.40634366931690036,0.4174369396468633,0.42874399647742334,0.629866568098118,0.5394883338486256,0.7734574987116837,0.911903803336715,0.8341273307057613,0.5289861457019721,0.4256177092017126,0.4134968711106949,0.398104608178582,0.3917034118064619,0.468303360246261,0.4709098964869699,0.6847742885146103,0.4543958529623134,0.44027154973363447,0.43126049685840057,0.39778853706241724,0.3854742431982603,0.4303676778605975,0.47564887556334723,0.6497316999375572,0.8130169572298199,1.1655852228757007,1.8798158037761357,1.2664893794517096,1.3611793477707559,1.5301382881935237,1.125516747153603,0.8711043474747994,0.49020028052608955,0.5016705079338188,0.5813087197556336,0.4078132041223158,0.4200023704278855,0.4086694522197502,0.3987994657424875,0.43607780216470843,0.3899764010343799,0.3946921139512981,0.4581265333014283,0.45005603510712183,0.45328468680336204,0.4910351182080527,0.5708681540647563,0.49887445429805105,0.5339115406547067,0.6339164689499971,0.6508883362005669,0.6306453596112808,0.7236867345726399,0.7463092210494943,0.8519989175069621,0.8503706530833324,0.6453378167488106,0.6666200582496896,0.8129444001028246,1.8543825171962913,1.1729958576997774,1.4361051994003504,0.6624854304055063,0.6431988478955941,0.7167249901482726,0.6357424012068272,0.737724476841805,0.5336827651113799,0.7501724070854604,0.6539293509086688,0.8657377662052983,0.6264556355857048,0.7350642920606923,0.795382437130335,0.676581695173708,0.741582876536159,0.4505984140608971,0.44925534342321793,0.469670470779622,0.5971212262129934,0.6968301005581768,0.8539301191627358,0.7129671768662713,0.6284811791997005,0.6401637371255701,0.7948930567501759,0.6385685173613904,0.5944501876477191,0.8159062446260847,0.8992145596725752,0.712069485643753,0.7711569628877875,0.9123141420496876,0.9387622717109915,0.7494563403971143,0.8047687528475524,0.7079860988927345,0.680526747737792,0.5985874301148313,0.5685249083530381,0.6648029098264565,0.5469514431716841,0.550314523231281,0.5784597387075772,0.6008530559111293,0.520844681662373,0.5533365309628839,0.7548141590355432,0.6587015992333631,0.6670275504543811,0.7152913834524425,1.0714071016523936,0.8764329087347698,0.818381161959311,0.9405903661163968,1.0416209399096443,1.3162567513924213,0.8493527477614676,0.6545132799736534,0.513385944110371,0.7847646179209322,0.6940689672968986,0.7781541633708619,0.7528964914391651,0.5672362455323996,0.4171281774912386,0.38484284988060125,0.37260140919437956,0.3368516404486922,0.3297267265970548,0.3741093227890282,0.6710040661673837,0.3198956264116709,0.3984838411252916,0.4376942041355852,0.38877282215717424,0.31704982372808227,0.5029258348862105,0.632085815616107,0.7107304397053138,0.9927279097926499,1.646178072035721],[0.35641323734709335,0.31008431631215216,0.3504461091127754,0.4023612596732116,0.4001090536486636,0.3335502529393833,0.2927721985830211,0.3316672692205037,0.3427125532436345,0.3041292646022771,0.3681997256140574,0.5120378614164811,0.3436298159255017,0.3580091029114548,0.4408422113351438,0.3965525183723854,0.36802496868640366,0.3983270667786497,0.4867708468197558,0.4498240751740904,0.5146311658159708,0.5726293322186353,0.7381307482856688,0.8389955500750235,0.7739964067460369,0.6102360269095254,0.4562211354842468,0.39504822795121997,0.372365365328409,0.3548736987714138,0.4353367924040502,0.42427827352528213,0.5304752295228052,0.4797105280579664,0.3901323288838019,0.3800764871403326,0.391323322119275,0.3788084834801436,0.33023277112653043,0.35424456491031653,0.610289179212881,0.4823551907968326,0.448518756410248,0.542682479536375,1.3108482821847056,1.7563958432916273,2.1258678710134644,0.9404422131041562,2.253501394929364,2.3694933718520015,1.797053791144288,2.4595199559051832,2.564963596724287,2.589042553821776,1.4526740446170152,1.0147086658222015,1.9370470718634105,0.792389365929394,1.3158725924346848,1.300271121832124,0.8876725928606034,0.6731101168496783,0.49651429847436773,0.7638521385079895,0.5855051679635147,0.5412385707809405,0.6504912879554918,0.5299094507859999,0.7082125690654186,0.7156574009741508,0.8001912588008722,1.0636032675907903,0.922851778751074,0.7723656252242098,0.5258218941292113,1.1540557494766908,0.43123808375412703,0.45866896187296513,0.41052039765472986,0.4362986200009163,0.4122890144221512,0.4875276955211967,1.1829887302750575,0.46545991963918976,0.4775382743498881,0.3807785663560652,0.3948444112767517,0.4749388899316156,0.38718652261029785,0.511390325285268,0.4698951857575654,0.6969306121567741,0.5360633826374426,0.5023656436164766,0.47650625741943603,0.5593985352409769,0.5959853209307677,0.5127742525338745,0.5022296555668627,0.7139118053484698,0.47962443213604805,0.5650838301191381,0.4372612955197238,0.4915685134359993,0.494880170209907,0.49534092180432826,0.7475597489409065,0.47530969057259953,0.5023374259054513,0.5372279114246762,0.39209009245421833,0.3296660603047801,0.2930014409044485,0.32981487654516956,0.318652134501631,0.35371788234336654,0.4761080987479086,0.6171330923388174,0.5292814200651144,0.4453229744034318,0.42239931449148127,0.36689097057471154,0.3690940214155329,0.3057928770126314,0.29087503940690107,0.36222623049241537,0.4718008766496626,0.37034705268018653,0.38506948604504543,0.377278290838869,0.43821078618016424,0.41565825088549563,0.47235418232431187,0.5054814061080496,0.5047466983148765,0.5839080490455811,0.8375167429621707,0.5357315191360025,0.5837862039826746,0.4752970734205222,0.7085367449573643,0.7226982427803262,0.5216620282097091,0.48337962313055516,0.4067165184979218,0.3375489977117265,0.3353739889564775,0.3430451950857499,0.30715693968511454,0.3550962682992267,0.4051510508110868,0.4613331843264959,0.9139401279235373,1.361842323655739,1.0812419423062962,0.5581861700627825,0.43319896013050835,0.4254350119184734,0.37412677614802986,0.4386805262399278,0.3477376853689267,0.3607823880097332,0.4426355547498443,0.4179753814141657,0.5331882106639512,0.6886017062058741,0.7245689480505354,0.9760577132517038,1.1041676135925,1.0086430767999248,0.7082189773801051,0.5371077977408152,0.5032794062349037,0.4518146820820587,0.35123224115309737,0.3933482457968918,0.4245897035458788,0.6337484073941672,0.39135128693759025,0.44117677657380344,0.42950551874327203,0.39091351454724066,0.4178881531450795,0.5136043521756302,0.5326128180402682,0.6059737038778031,0.7123275109192362,1.0404700757432757,1.9500566314913312,1.2763763139646913,1.4229090031431146,1.504165213069461,1.2019380936362278,0.9847027092029447,0.6182624078400092,0.5921383475484517,0.6878953734220876,0.5250962415164208,0.517297388285443,0.45618153454362026,0.47319437003250475,0.4840573502417154,0.441875730031352,0.4876179974493765,0.527026324060447,0.4986259533735036,0.5457686767684083,0.5770209525143858,0.615379498914571,0.5440165391245482,0.5991708591129506,0.6697148334248715,0.682398251957316,0.6670886609639918,0.7475238040222012,0.8140477032238761,0.8834134047948615,0.9750740310695071,0.7339098930530015,0.7454872315776921,0.9068822870668306,1.7642157593971513,1.2916265428158233,1.4756601370228875,0.7318977923338401,0.6992554180370878,0.7466398453711289,0.6845920561483954,0.8280413548275014,0.6270394855907451,0.7963100970829997,0.7576274344760533,0.9781937903517801,0.7387557143070663,0.7942073671065442,0.9239064606723688,0.7974938913543183,0.8263031977469049,0.583914887716044,0.5325141286297825,0.5105653778740703,0.6091450808646528,0.6893947676970426,0.8816609198855456,0.6978454373507343,0.6353874067378458,0.6762655829286014,0.8011923940620077,0.6516705374242706,0.6073503506215472,0.8279551823668343,0.9036623810929497,0.7353200042803165,0.8132169051031166,0.9493014570203797,1.0106187919157796,0.7942886516503367,0.8591868886633682,0.7575658687735195,0.735423143307439,0.6467764872562086,0.6367808663986141,0.7271042204802913,0.6169460557256332,0.6265992201157903,0.673679010760017,0.6947656723231705,0.6286052330980592,0.6736559462367935,0.877645861414501,0.8049483216407958,0.8078662677969606,0.870131324749691,1.2124304301693638,1.023121504264299,0.9787264934209435,1.1316018272234347,1.1981524134822008,1.4675130452527454,1.0055694970058826,0.7913998303328427,0.6449685797964557,0.9276038669516016,0.8667755238238638,0.9613080189574149,0.8602501059237875,0.6791220160063693,0.5200109174192321,0.46200000044180983,0.40119332192186263,0.39769747202138656,0.38432660052514395,0.37603967546278466,0.5558435092163545,0.3600323627992847,0.4098278071592566,0.42870809313904634,0.35095543341562463,0.32814874000676214,0.5490396443981115,0.6722484847346231,0.648078104709341,0.8369094642373769,1.4075940446670212],[0.4260984137505812,0.37199790950331957,0.3833662024525126,0.39136245448740364,0.42909685546851273,0.43844464126146965,0.4129835267474245,0.4212691882494454,0.4274384751624189,0.3848424642734959,0.4265229384437696,0.5660094052857927,0.42921257304935106,0.449001261840534,0.4905070285028868,0.46245098928905215,0.45007351643510024,0.4594593793308533,0.5190026881873333,0.4932886413184854,0.5284016021190161,0.6210615843418676,0.7070117834385224,0.8444428080316861,0.7909783595387536,0.6137260201385409,0.5118905299636081,0.45160313876442026,0.431407030575825,0.4312676017482749,0.4910214668600503,0.4899625324310227,0.5758494793687868,0.5238817194609834,0.463143483221548,0.44499091992280876,0.4571686265379621,0.4374993415796196,0.4189137694203272,0.482516074684014,0.7000200947590225,0.5189258677166216,0.5026637615234332,0.7070977969889705,1.3255421869135993,1.8228351459076249,2.0822733935964375,1.0754789757622656,2.32553964474996,2.55861758677684,1.8628511221391213,2.5410228634961016,2.6949994736519605,2.7445920910105785,1.521287369455723,1.1585191669300277,2.0010463230529085,0.8366983121484065,1.3673194586068902,1.365121737659262,0.8888442927028403,0.726132750730694,0.5457376275406813,0.7112893743265315,0.6113357139404303,0.5671889142683518,0.6406537540180769,0.554614711285692,0.6972361369091188,0.757354263110008,0.8265527823003864,1.0736063357210952,0.9672235014254713,0.7904709220051158,0.5708305405255841,1.0973353400240577,0.47284649985319965,0.5087021475222999,0.4666394027884051,0.4750482564373804,0.4642879899206685,0.5685096403300445,1.187703637972676,0.5669114075268075,0.5536142137016966,0.48507132968149297,0.47437745741972775,0.5489429080030759,0.44939292444229184,0.5799527250219707,0.5017098279878026,0.7173447696492905,0.5800173274988459,0.5512092972362367,0.5222384515176416,0.5858219895959081,0.6236689148759954,0.5601271599334269,0.571561456720928,0.8068666243299031,0.5824608619523625,0.6817955682959557,0.5541366542804105,0.5967388943560843,0.5719103277430041,0.5581048082184579,0.81529481678802,0.5522965499416571,0.5616037832118175,0.588568728259175,0.46145470741182204,0.408747598347716,0.39677876819347857,0.4086479157504152,0.4147839944458405,0.4622432877207966,0.5617857537784782,0.73637707148199,0.5265075275546457,0.4999552923298532,0.4959694652438386,0.4397268485680128,0.47055186579072733,0.42709999535368837,0.4036655958029717,0.5047052769544809,0.616117191996552,0.45927836286570745,0.46908538293997476,0.4690320517931402,0.48149522230536845,0.49325526847836215,0.4977248819109272,0.5662782441789276,0.5229972330170771,0.5996292426947789,0.8066301142005625,0.5073887678353852,0.561368771075753,0.48696084716755356,0.7119907800829672,0.7155131225880063,0.5723229552538758,0.5057301175691873,0.4749022386233718,0.4023282435365949,0.40954552988494475,0.421011797364849,0.4218899595375395,0.4467412780265094,0.5109854769246841,0.5507326650237566,0.9000340856770005,1.3830981753553917,1.1086422647629521,0.6597598318160935,0.5328124472569181,0.5429009287249053,0.4668745856952526,0.5425693950206366,0.4509384994745304,0.47180605711959617,0.49982051678861766,0.4898721621838859,0.5292464559792669,0.7086376895656215,0.678151977227668,0.8931662854024154,1.021848969191358,0.9097385591396633,0.6651030828717569,0.5169189312993635,0.5146669375355638,0.5191912540434407,0.46177242882757885,0.4880149182856049,0.5067218413311455,0.7064435765498626,0.5025256596382864,0.5394633528653093,0.5145275727425727,0.5049369756921939,0.5180881885753704,0.5805667984823609,0.5838740657425183,0.6562616222537848,0.7663250166000093,1.0632659810006555,2.018171286177372,1.353794688899016,1.2824358208913886,1.3229545890504888,1.078833850201223,0.9174982245170381,0.601182578278407,0.5711162937469801,0.666176356407766,0.5481009374872508,0.546771721615529,0.5165896121305097,0.5150466847097419,0.5479501526301732,0.49704225831846044,0.5174432656619616,0.5559705859091255,0.5451054323743915,0.5557736403710024,0.5828097002766682,0.6461563964602818,0.567960059084639,0.5911696544457739,0.6804268039577612,0.7426881311102767,0.6537204594164159,0.7228126187325705,0.766606935257099,0.8510830888091007,0.9083656829232757,0.7040577501856478,0.7069653946633467,0.8649938214421147,1.7238888430707886,1.2923976905928636,1.5099309603339397,0.7435624788949311,0.7064271891145473,0.7576081952523127,0.6976582074133943,0.827846518876262,0.659064172254406,0.8372445123501427,0.7723401023348458,0.9995199778273105,0.7874895975539219,0.8189744656144698,0.9363858042735336,0.761432929476798,0.8147362296702156,0.602285556216106,0.5816489806168251,0.548981668360305,0.6425447953896366,0.7115251522131564,0.9329703436585989,0.7225713276987318,0.6685216442860394,0.7142761448052461,0.8039148467292276,0.706426245130899,0.6501685086403436,0.8521472789881055,0.9220467274860941,0.7816424051130267,0.8540064590927426,0.9653841162060885,1.056683208912122,0.8305852748433369,0.8914571723438995,0.7834325278743761,0.7686720178817058,0.6749826030161215,0.659446166061201,0.7309386517336048,0.6318123609008641,0.6469717964084623,0.6719368376042015,0.6869131514796608,0.6341386355846932,0.6751960660420145,0.8418710604266058,0.767972643735966,0.7591879599849036,0.8267074909841713,1.1337672670658894,0.9638245328832793,0.9386530481142943,1.0355130280760618,1.1022786754413756,1.4001281229862215,0.9659795332220719,0.7514058713533991,0.6334407442109442,0.961217053897141,0.8730787385286713,0.9278567976337397,0.8719760096238902,0.6883386401849139,0.546425942995869,0.5066146636735703,0.4580606486996757,0.44112783850652854,0.47296769947351697,0.4693180924468591,0.5486331402212411,0.4262021816299208,0.48787704017671674,0.4656131492683217,0.399758553099623,0.3882874556856765,0.6262107261344015,0.6454183738679778,0.6170830245226151,0.83969027229451,1.3003179472122943],[0.5372141823572751,0.4459470887795311,0.4213160822964012,0.32513859982048954,0.41013176759287856,0.3915886862069812,0.3743101097397785,0.4093563488730347,0.4158153102256694,0.33989603903611443,0.3906077366959205,0.5280290637024677,0.3838584893150421,0.43040352640424606,0.4455606313082401,0.41172124835096174,0.4065658695192776,0.4251636018505074,0.5340436207045927,0.5121042370215182,0.553597051807006,0.6565961791798274,0.7996761657702541,0.9350473491862242,0.885738725551603,0.6919716314427803,0.5490352301373964,0.4685472246134927,0.4145144134546725,0.39857491511674675,0.4379692994068882,0.42312324803539797,0.515313681423291,0.4583462669284798,0.40325063805491573,0.41519308353056206,0.43108544442052266,0.4216373531815512,0.40921820580372587,0.45897495809521344,0.7555126523493084,0.5766921361055437,0.5272968155868258,0.727335133041104,1.3478737346255076,1.853769016558028,2.1876100586013467,1.1108034408236982,2.2551482858476195,2.5349699749338845,1.7774021606969699,2.461594985063632,2.5387686929396085,2.5092705347865105,1.5062773287175633,1.0914735970557123,1.8698692085548818,0.7810028994056967,1.4576832434735238,1.381067662171127,0.8523667592034871,0.6703121962654652,0.5010778875281487,0.7135706742328021,0.6271242863502908,0.5752886062409086,0.6101924537723968,0.5166830264562992,0.6746489334375608,0.723318868795799,0.7928926048614158,1.0183616101464459,0.888426576784321,0.7478243758621708,0.5142920989752716,1.0623499462314412,0.44008618613738126,0.44539296633688347,0.4487068338191099,0.48746966972298644,0.47127410264256525,0.5266891012376839,1.1848705875269354,0.5062779468338658,0.5046143142002012,0.461217272754603,0.4428453555370256,0.5352131989904381,0.42698340135957913,0.5202968960665717,0.45481656358474076,0.664302501086588,0.5163871213732164,0.4759895382520017,0.4613085408743262,0.5326803661573591,0.5750229896702742,0.5063550126866057,0.5142297196905417,0.7387401823556214,0.5069405381510588,0.61736031006926,0.4880531805708571,0.5701099140798486,0.6048138696824628,0.5239822032565689,0.7461628965263103,0.5031882879985543,0.5031077012431459,0.5782378838190357,0.4313073299626409,0.3906480090439233,0.37364881049235993,0.4149746156330207,0.38303977960239,0.455359538978506,0.5903612590750442,0.7115414333647098,0.5504917896466472,0.4692450532611053,0.49622617240933264,0.4104713290223786,0.4578759563902913,0.39331792886117134,0.3887250486841002,0.4896676013505103,0.5899941204332395,0.40886728761048147,0.4359386866883252,0.4444305075891967,0.4461900992692541,0.48572546701317015,0.47801542861897,0.5417749233667387,0.47568018220649044,0.549975648501969,0.7372883494595994,0.5107502595203067,0.5646099133587034,0.5041456088120949,0.7958275762293183,0.828438573409004,0.6376641065935887,0.5568205671228198,0.4904418185649593,0.37823637215965855,0.37691856366366666,0.39575022881587596,0.39368927642390245,0.42075487438304116,0.4801776304913665,0.5210782577776165,0.8875454070529364,1.3768073852657685,1.085208747025734,0.6061056337893561,0.4756731151279014,0.4925354191692863,0.41746772171608615,0.5063218846360802,0.37933316485368174,0.3968046759738168,0.43765529584061175,0.43024847286864015,0.5090188074995846,0.7001535700915686,0.6411029785847316,0.8979477250855612,1.0187796064145076,0.8854093774936297,0.615088383592438,0.4953547787240204,0.4779789337254774,0.4448657192671738,0.40773498137398356,0.47932780681234716,0.46599820916712376,0.676477493830198,0.4717439272463119,0.4833125100369995,0.4881424961751931,0.4753982691504495,0.490164472104761,0.5696879734423719,0.5846246078416983,0.6698617109452477,0.8125078038985197,1.0714070479112658,2.077089389319682,1.4043566679094044,1.335312276125296,1.3593553143797381,1.1322669208407248,0.9502233308833434,0.6129283618269376,0.5805789808411811,0.594539347236124,0.5457032862236872,0.5522051541014403,0.5037069329873448,0.5220345364112575,0.5347778823169907,0.4790984833223423,0.5156139878425914,0.5723139443427341,0.5507899673116929,0.5354908850167095,0.597519686811915,0.6937497706220284,0.6088881582088518,0.6158784926994846,0.7608647012401396,0.8341693748476366,0.6980007918450306,0.7980470544797483,0.7756015436264044,0.9320366602574179,0.9340840805737891,0.7270177072131481,0.773709003934053,0.9913580963223225,1.581378729108467,1.365187683019775,1.4949661935444205,0.8037030337359837,0.7588658207132261,0.7898593787852451,0.7176335295903724,0.8871425084293365,0.689560860312035,0.8651240073937488,0.8204954740705266,0.9926415228787239,0.8017968374917847,0.7913996265820722,1.0415158283827022,0.7937695009906581,0.832930986944455,0.6079886691155116,0.5450770875129313,0.5457842870141074,0.6473176784620069,0.7089619751528695,0.9143448908047301,0.7232147693911171,0.6732020319063592,0.7203232473570473,0.7794799795849514,0.6967266713700311,0.6508862289872419,0.8443700818819396,0.9100366168624779,0.7853099577637468,0.873270305335521,0.9867334387753414,1.100925721432956,0.9008817226768162,0.9695682971538434,0.8583290272848317,0.828882928459487,0.706752716055447,0.705402641482008,0.79343543059861,0.6733753875001145,0.6741453374743638,0.724358573654446,0.7265369504917114,0.6478111143505965,0.7075621796998355,0.8898305252137,0.7742998315903699,0.8135399479040796,0.8806247823673792,1.1939047469935062,0.9644666631736473,0.9236969277262562,1.048544541192953,1.1122904981239952,1.4720667465052706,0.9179004879226109,0.7184663263672127,0.5592513646223687,0.8231035934026132,0.7934471576321726,0.8761361206938795,0.8239464453267691,0.6555828146729455,0.5092601447460102,0.48381660355592065,0.4304003471185253,0.43353829158390866,0.44984130467089994,0.46952925239349946,0.5369454900313514,0.41744736393375304,0.4582736688286307,0.48418094116009724,0.41553986860632214,0.394768046868891,0.6662430447096527,0.649953414732922,0.5922127702413256,0.7772451385172405,1.2540211835676498],[0.7125703839330034,0.5610669297085931,0.5466689183306738,0.42570559710690403,0.5103310611046016,0.4707477193021466,0.44693106129779536,0.48218061926508404,0.44862974520189575,0.38379148599344515,0.42580287613649787,0.5827993356312786,0.4441929930747801,0.4480465757729228,0.4666891372667365,0.46388651825076677,0.45324115867808573,0.44941521312967464,0.5317043443462058,0.5294058770712008,0.5678410066013104,0.6849961172908106,0.8132040776436588,0.9535735891536243,0.9171023280435393,0.7057877193450276,0.5866064087417127,0.5106968661812878,0.45377236943541915,0.4514335771806093,0.4767372398674128,0.49706950596637317,0.5643071217050102,0.5112180696813946,0.47874723264243674,0.45904275227677493,0.50102513776191,0.48390897782447456,0.47961052046231006,0.5418142499686981,0.8018305961077509,0.6083665970681732,0.5685524275664762,0.7972823727901764,1.3693509343339854,1.9141062139345606,2.1568543417486046,1.221208125924146,2.364061971775276,2.7195877701510134,1.8446884829289978,2.5460284803838347,2.5909561358255884,2.5809569350485315,1.5296164608624991,1.1732350248135488,1.8948933914875223,0.8551929126557007,1.5325301784957208,1.394344585358721,0.8651315583115328,0.7206116404860635,0.5480257658062705,0.6951409648756607,0.6516751526078798,0.6029406396247288,0.6157260491043312,0.5230842926281424,0.6585062947011209,0.7202724191249001,0.8068936395721229,1.036198194734523,0.9181826531461975,0.7477514434542423,0.5440709293435007,1.0526710856108041,0.47082375712007535,0.4916625648772087,0.49818428317289,0.5269573442442147,0.5243048418186914,0.605106850463495,1.1977977067253767,0.6048792660623155,0.5724369194924727,0.5412274724938775,0.5252799842644978,0.6107779937325657,0.47158933877387876,0.5980946191865181,0.4820523717701606,0.6891180656815441,0.542024542683845,0.5220802764768715,0.5003689230004077,0.5682544823646897,0.6081873119456708,0.5609573755744464,0.5884755891388388,0.8327702107158071,0.5969617954814188,0.7091403234231352,0.6058966542905319,0.6665212852075997,0.691204845671107,0.622202754539037,0.8233368100110936,0.6165795998235111,0.6155605759494349,0.6652341166439262,0.5457830316281027,0.4899267486049234,0.4618065832183827,0.502577493225102,0.43473152864785236,0.5130574209776971,0.6312871988880362,0.7523722093563965,0.5860870025081507,0.4792361251940073,0.5077571891100757,0.43290111961371364,0.48202933462131115,0.43842442883686145,0.4419261376817597,0.56995036683518,0.6816163624120016,0.5169475830587881,0.5661954644781392,0.5699624522134243,0.5871818162868201,0.6283852524755652,0.6088609178887134,0.652507847080322,0.5864857345660038,0.6322289863630329,0.8044064451217219,0.6059291620694461,0.6448489399818134,0.5846781329886183,0.8317931025131693,0.8568927301493079,0.6650246598304664,0.6098409146895476,0.5701631257532225,0.4447438635153609,0.4470148180096452,0.46406021496248995,0.4840385830748373,0.4841260583900684,0.560083068094454,0.5802593072389839,0.9223644470546609,1.402129439101061,1.1210611077100499,0.6885324430014264,0.5605708710501678,0.5818970799796375,0.5021696159802805,0.5869353732051233,0.4803454980729487,0.4846916108364372,0.5371602840276539,0.5278418227734244,0.6048447174305361,0.7832641106515669,0.7293634255021677,0.9608945222513112,1.062248976722795,0.9394613128342422,0.7090918230937141,0.5932639632808095,0.5734157869154844,0.538042227404883,0.5109650161641461,0.5620796570766122,0.5400775322413756,0.7408807623866915,0.5662437398891778,0.5845244007190213,0.5818752643722512,0.5857443505227451,0.6107064520342279,0.691766629802172,0.6881904384767962,0.7274229900659199,0.8280854673664608,1.1002730043212174,2.148218871675647,1.502778434871499,1.3316104019823556,1.242311090748892,1.1197690562361546,0.9714338057803552,0.7163391099172666,0.7034990594482436,0.7215840149055959,0.6969849873191117,0.7042955485233704,0.6467775407574221,0.6774150276806952,0.6758834206090013,0.6177585090762303,0.6651691669502471,0.7199237679950894,0.6829362933750707,0.6526326761701404,0.7184021361519419,0.8214281828514554,0.7094127578095506,0.7105060167068031,0.8663947130998242,0.9394455808405778,0.7737495112289543,0.8588082190060697,0.8207239174388199,1.0096966803440794,1.0032776133012709,0.8170560320986429,0.8767069674326423,1.0969556265910518,1.5743979388741254,1.456057232406104,1.516665789590277,0.9221407980219499,0.8856254369666425,0.8994045864914982,0.8512357187080828,1.0064305026752987,0.8210758475617023,0.9742886966653113,0.9137801273106223,1.0832435854099487,0.9242909706119968,0.8924767148665247,1.148364006591549,0.902875172475486,0.9238929178332278,0.7447799623554506,0.7017681124376247,0.6891716033674021,0.7746490704852632,0.8250477102343658,1.0577441686625997,0.8436323676103464,0.8072791924948007,0.8662928613869193,0.9043678581935585,0.8411352902194932,0.7856119945783134,0.9663763417983688,1.0052919424933429,0.8986563590982382,1.0050654203387825,1.1110276033276245,1.2095975906407823,1.036928740635719,1.1273093630021247,0.9929088796079576,0.970210118176267,0.8559426118676428,0.8540389508681451,0.919742731787476,0.7948358199880986,0.8000913539798783,0.8413342159088415,0.8295807113419099,0.7613504684123517,0.8198212722977191,0.9812909831703577,0.8799138078578084,0.9304099219270651,1.0100307010384004,1.2871901319326895,1.0469587491217072,1.0248359022474016,1.1526392085987844,1.2110258192583423,1.5398543417294879,1.0278051558745152,0.825327445487423,0.67662167989016,0.9737925347779205,0.9338527225189356,0.9976554694907249,0.93316427248251,0.7727193860365237,0.6433774271368071,0.6210022973816135,0.5558057143351405,0.55876175000041,0.5856338664945759,0.6208182341192784,0.617227858913978,0.533227018593168,0.5836241897633119,0.6400377716644967,0.5172986174576946,0.5092033184628436,0.8004458558843782,0.7592331179162476,0.6865527615762772,0.8727966338700329,1.4539939400309223],[0.6565808189696329,0.5670850627909662,0.6185568882079153,0.4980387549207033,0.5926392239536816,0.5073735649566464,0.5002691714611551,0.5125185792911525,0.48807958663395934,0.44721357800374445,0.45794307867646805,0.5983291505290453,0.49437301216521573,0.5177866186061453,0.5164611224237862,0.5120295867712502,0.523288601269611,0.5233806120173464,0.6202775875519401,0.6306114690071092,0.6653690312510245,0.7932107534825849,0.9098699092435503,1.0517288981105528,1.0050371865424494,0.7957999231168053,0.6827980461048468,0.6023447114908437,0.5480050383473928,0.5279653360988703,0.5246839907178326,0.520173012492999,0.5830723682046645,0.541234511113019,0.5320506933752697,0.5448790449454265,0.561181348818383,0.5682341636026349,0.5819760231419587,0.6508279383725145,0.9094685044961511,0.7307023617849304,0.6932014855150782,0.9264909512695086,1.4640466003072996,1.997695481001812,2.2356566219060308,1.319569767053387,2.366801657181956,2.7737363349961455,1.8422728906658639,2.512261977262892,2.541933509955608,2.507025684934787,1.6012933720903397,1.2167574445136553,1.855811455729723,0.9205070127566991,1.630364598581321,1.454436122243253,0.8938174051358041,0.7747072405678722,0.629976688463429,0.7396304799899762,0.7549570038715909,0.6893765997790118,0.6635238070761774,0.5812051207644322,0.693617033079499,0.7593796750588158,0.8387859657397176,1.0501897685581985,0.8948525691672056,0.7759994667007961,0.5862347717986092,1.0353581182704514,0.5452798482688839,0.5528756779146555,0.5668476317951503,0.6381375488329434,0.6028432409611495,0.681582096196875,1.2415181087722817,0.658736505295227,0.6492441144325661,0.6310001155977283,0.6101816010707327,0.6719195739558143,0.5634035095039563,0.6263951927114448,0.5353883129931303,0.700419200894534,0.5769334918773159,0.5245276608166983,0.5198553843611684,0.5525517093549989,0.6100445167269422,0.5635313193354431,0.5753985143124393,0.7774227433723622,0.6087253458392603,0.6918054071162834,0.6204079931280222,0.6958999623734262,0.8007723719965094,0.6340224127530334,0.8159259300931857,0.6451988461540565,0.6399821585886437,0.7014120311345265,0.5719234261950693,0.5593037531659691,0.5266191315855858,0.5942905610999611,0.5079090470635224,0.5987247212420742,0.7119669257345709,0.8069867186113111,0.6799428883294051,0.5514297573193646,0.5986789934094907,0.5138727160607032,0.5633927409654289,0.521220089844355,0.5222490998819745,0.6616811871649458,0.7611024474715858,0.5964284516554619,0.6375575524895796,0.6428750861420792,0.646804169811236,0.691375978890293,0.6746511810390424,0.7061810333462682,0.6547827762306707,0.690606692374655,0.8382889008940096,0.6726193623326124,0.7028321649170682,0.6606847746154176,0.8854428204027336,0.9233412119803851,0.7483703761846037,0.6884316675146995,0.6616728018200504,0.5488755785515117,0.5533387877234138,0.5577468345523628,0.5650678328850317,0.5337106085812391,0.5900224220688087,0.5728497486177309,0.8986261610238314,1.3875757758716767,1.0734899826311826,0.6521849213859374,0.5635596756525767,0.59575311800918,0.5429941261199968,0.6353305693673847,0.5490545578896249,0.569321612472395,0.6194687993701085,0.6174566726244946,0.6739615953792645,0.8648890162243216,0.7892187809492742,1.0170634026354228,1.1077247260591774,0.9874318991063342,0.7688921013054347,0.6677046679887126,0.6409228438464049,0.6050044170729433,0.581027915222957,0.6431369931853338,0.5955218475546601,0.8094319787689944,0.6241960829751302,0.639267006720036,0.6558538262065186,0.6609980093156756,0.6849484249023086,0.7512594999789298,0.7593983939082087,0.7973026355087286,0.9211121392996796,1.1655159483709412,2.1963324825711004,1.557978921256705,1.374340539131965,1.283230518011359,1.1831599975826828,1.030387937898699,0.7774428766960204,0.7587851988650451,0.761833666665201,0.7343131669896067,0.7478330743124029,0.6975471118601706,0.7142959709118671,0.7095830585947808,0.6643300545490692,0.699352638263133,0.7511150412490586,0.7426436918876488,0.6949483872680592,0.7596498638592845,0.8877578835017383,0.8106208116349228,0.7981919749437933,0.9693185565929422,1.0648660895257933,0.9352120922301193,1.0187440221599229,0.8696944707098511,1.1025041321026403,0.9550283663606428,0.8323373878785886,0.8985868623286205,1.1217896696551197,1.5494417549004333,1.4360150936013787,1.5210451226291135,0.94298287662425,0.9037264996045112,0.9291069931497179,0.8668044516314998,0.998630401971056,0.8373228088165924,0.9901882663410972,0.9392344939901206,1.079669613315308,0.9324089915882325,0.8889075880199349,1.1461072392554044,0.8981881127153903,0.9467048796983033,0.7636730393191821,0.7101766690800834,0.7215118421385692,0.8078458630752662,0.8497592591433234,1.0196761166784036,0.8384699441698917,0.8229175055999637,0.8916992869998925,0.8985880932673274,0.8400073496652553,0.8152211026318736,0.9765493392124404,1.015911837501429,0.9387071343874435,1.0324275459731833,1.1268835741437282,1.2499315790938554,1.097645100825283,1.167645190113345,1.0394246701196572,1.0000260748530978,0.8906261023651929,0.8764732318244166,0.9359529149814614,0.8386517769729478,0.8347952683697819,0.8586586921672987,0.8527268452122603,0.7879481808153299,0.8326197591889789,0.975222835835114,0.8596242840930096,0.9288059306023241,0.9805246664336904,1.2377633117074096,1.0172327696312287,0.9971694424958806,1.0929026572107607,1.1511284940760975,1.4783607169320614,0.9815743357568638,0.8087838480088547,0.6857849972217136,0.9512202300701503,0.9280663279311037,0.9874972949027405,0.9445113622466978,0.7821390589145043,0.6822322375406119,0.6736327087300032,0.6232103117825071,0.6234782672437348,0.608899420839871,0.6662824542622975,0.6574579257573202,0.5662403361662006,0.6333607972563896,0.6901988403824747,0.5769148964734633,0.5797568992148914,0.8652036606939877,0.7833831195650375,0.6991915083095526,0.8104135626154202,1.4597464718774997],[0.5968953141349633,0.528646934449704,0.5127339653343596,0.43714035418670466,0.5139069219072289,0.48829527689216395,0.47603664616286395,0.49664548268554065,0.4874032406647679,0.44003827537113555,0.46488758073126496,0.6117982912944945,0.4908322968247076,0.5116262208982764,0.5244716073380252,0.5197409249897247,0.49924751947387674,0.5004688177926222,0.557676845913352,0.5562971168336324,0.5812119680174792,0.7005181757982661,0.8079375152802425,0.9234225650752624,0.9090734153620801,0.6884903003111178,0.5997717390169145,0.5359190100518924,0.49982121113449435,0.4978117073907856,0.5219370702982405,0.5362768675453137,0.601295673499509,0.5518810242669867,0.5321241819039967,0.5183807721618887,0.5385740234487147,0.5144180344717807,0.5115525886775186,0.5612217947582824,0.8188620945962992,0.634757813742347,0.6068031872368115,0.821804033683532,1.3873197601426202,1.942446637979783,2.152247152448693,1.2484723046625694,2.3903878849940288,2.737478907403542,1.8525650239969331,2.537941510274008,2.6023459296433957,2.6166641463077434,1.547334721889214,1.1842052741400815,1.900896567355894,0.8763494910191475,1.5607480415736945,1.401258960052709,0.8849950162523359,0.7536652081992764,0.5967533997439727,0.6974740555401476,0.6722681128661864,0.6332183300643168,0.6324602570738674,0.5585920383699284,0.6616003867921288,0.7476123701914844,0.8263562618486174,1.0414635793121776,0.9267580182175724,0.755038007340249,0.5880498359613708,1.0419187676716866,0.5234782109285272,0.5435215384870733,0.5422175416896488,0.5803450057318525,0.5614716023916196,0.6336590460849224,1.2154060740370913,0.600791895732346,0.5820865843828885,0.5643241531840856,0.5614422062145337,0.6393921382259208,0.5267480331077989,0.636830374601013,0.5356414897102885,0.7157325898551335,0.5971787255319577,0.5588409822924929,0.5469949402979042,0.5857295133215634,0.6343645174938048,0.5839307771903843,0.597403989912162,0.8010705359103574,0.6123712111742371,0.682321685294814,0.6097855612537775,0.6578111598766531,0.7008534601133124,0.5978499152302023,0.7864706782391591,0.570237454928646,0.5706245030241668,0.6429909282703238,0.5213719511316649,0.4968094523665353,0.48721931250634093,0.5279851891692161,0.47841941362585083,0.5384325279882819,0.6554669690430962,0.7796226172772347,0.5924167825375688,0.5152339920102087,0.5350501389023065,0.4728594494385147,0.5047638985578591,0.4724358381291257,0.4803303086208131,0.5799270822321847,0.6801437433219608,0.5171494930296782,0.5462902502102722,0.5491415200078053,0.5470295883776212,0.5701751234767197,0.5777394817902697,0.6245850794491902,0.570450111587477,0.6350998552701158,0.8175322771749695,0.6073847634093593,0.6599534671468484,0.5994987395428776,0.8145627371727839,0.8273418991479586,0.6680402296468972,0.6150574037740837,0.5892787669518214,0.4814099324715254,0.4821080958591567,0.5084482195142516,0.5130705059525988,0.5104663304738776,0.5633968440177562,0.570598280926248,0.8919758241776281,1.3982317421964734,1.0898481771859168,0.6586024112220608,0.5659014992735977,0.5806147792545441,0.5217742809552816,0.5893468206609609,0.4866344558566741,0.5110059504820432,0.5555863237743306,0.5443376511146553,0.6142001234314378,0.7694346697056786,0.7190031206225034,0.9414248336685874,1.0521676106156412,0.9365723212773193,0.7069079862418386,0.5883756516676479,0.5709980404117948,0.5412593420216137,0.5161980072738193,0.5687237273447091,0.5568821370031156,0.7534273434252425,0.5649174145647693,0.5786220709808964,0.5791800137815263,0.5732792318701194,0.5835569154596009,0.6651983269055168,0.6676105396731141,0.7075337098170095,0.8148864840284308,1.0776049102712397,2.1051123186759337,1.462273660272281,1.3000849881474748,1.2568354482197954,1.1059955868888978,0.9550206005805747,0.6820219822515035,0.6448140184095849,0.6921759292447263,0.6263551678453929,0.6289945725325085,0.5744610997509335,0.568014282572739,0.5794358192249999,0.5465319948505287,0.563173465411268,0.5947814198516492,0.5999184550247407,0.5719293657406525,0.5913841504837011,0.7082805244871171,0.6536043896089426,0.6104993094791866,0.7479797913310013,0.8906518487173033,0.7218675961490798,0.7761985454472446,0.7608025482891203,0.8807524086632722,0.8704687186138873,0.677763144387885,0.6977452966609426,0.9078038190461731,1.6103200155024717,1.2716269460038283,1.4475469473688867,0.7601590382457744,0.7348848904950663,0.788198960508901,0.706158109916675,0.8438237289496748,0.6755589687734042,0.8663303345712176,0.7879011049365867,0.9700582630308505,0.7950265204503948,0.8072501068094834,1.0034988623409236,0.8176889162511013,0.8586991403157783,0.6409997612425219,0.6071281528167944,0.5923345164127287,0.6734105877041134,0.7361487115553568,0.90408278000439,0.7415377076558366,0.7129073856245953,0.731744743802337,0.7805445876852686,0.7282247397776052,0.6698330742738113,0.8401186897631362,0.9057152234958133,0.8064818224003552,0.8604714062811867,0.9630811245110813,1.1030122990413942,0.897510925095741,0.9423183375423636,0.8224896058801376,0.7905742562883267,0.700970319272629,0.6762297979490808,0.7322710125485662,0.6446079169802486,0.656306638548437,0.66475793053767,0.6720965839048565,0.628650693664064,0.6612859270668908,0.82985270165826,0.7536428172539084,0.8063781540625314,0.838332626214153,1.154456121340396,0.9471263498052508,0.9314884346732479,1.0113224907231904,1.1132915147175413,1.368982585988335,0.9495861662949918,0.735570440158673,0.6015700920974125,0.957521292699465,0.8833078421004995,0.9419518114140766,0.8746417931483431,0.6873910167725611,0.5865013172492897,0.5645935835690797,0.537776466164752,0.5316562375980631,0.524099308722428,0.540124853853332,0.5897626708158761,0.5053406279436754,0.5281260193354315,0.5964570683138155,0.5237822287939488,0.5101523987621674,0.8195252388138544,0.7532541989448739,0.689671267714835,0.8024441391217628,1.4150505357729855],[0.45636231796221033,0.41114473670243495,0.4085539544486387,0.31415935942612416,0.40706362663356666,0.37442189269909903,0.36748566507338365,0.38959624759603084,0.4015090240433178,0.33756308753897135,0.37322935957103787,0.5154329248664838,0.37939293883311825,0.42647059550822364,0.43441971584754724,0.40840107068845244,0.41230717440914694,0.4248573716840909,0.5317042587836874,0.516901380076236,0.5604550275431152,0.6676558970659693,0.8027233677601303,0.9253644714192973,0.8841287324093087,0.6771876696806589,0.5480231981046404,0.47175837448910746,0.4299706716747397,0.39254342208644055,0.4305207385423084,0.4089861943075899,0.48002584845422963,0.4430813733321091,0.39515919044398307,0.4120547053239876,0.4166046385934948,0.4221011526525735,0.4126723209070429,0.4729954497567696,0.7597675578646819,0.5790071885122907,0.5355655128859597,0.7482108494443866,1.3713334044132224,1.8844408720215327,2.1834954552083445,1.1564941714137016,2.2762104251601674,2.601525945645808,1.7977479017058922,2.4750493429864284,2.5413249174999226,2.5239613973620894,1.5014771048094953,1.109884895587819,1.8907339741656453,0.8000270787076879,1.470054943630873,1.4292321563518358,0.8657153811108557,0.6937541247939151,0.5169691986997895,0.6796734142931437,0.6398670967251666,0.5855231061464634,0.5932357375543839,0.508644295126578,0.647238111245868,0.7377213695428663,0.7867230936607552,1.0159642497732497,0.861069187937464,0.7418728100374455,0.519049788050727,1.0454264571279417,0.43912735566414485,0.4434918577140714,0.4475590451267993,0.501004227783398,0.4662570147800869,0.5285256256593375,1.1743501685481923,0.49259850393316607,0.5080658962495938,0.46640658307132415,0.4504197328301039,0.5353909951873242,0.4192482849334504,0.5072875416912569,0.4345973146985725,0.6505921549429474,0.5045398197045591,0.4428663411088571,0.43471508063321457,0.493060773637811,0.5526696157355879,0.4745677269988945,0.4822898716733272,0.694674666065973,0.48136806851805025,0.5866772573187267,0.47151980649793895,0.5420198877772708,0.6045657997402568,0.4962358785259955,0.6970274489572944,0.4906456438803736,0.47994143696141156,0.5546821660605394,0.40607300373619915,0.3786538076452156,0.36747834760274956,0.41519917547492974,0.37339259317946794,0.447596619915336,0.5975767504661865,0.708774907072625,0.5473514760985272,0.445007345733546,0.4847205793637263,0.39979729685788307,0.4434385874715299,0.38016373060955116,0.3755077352528366,0.4930607699147928,0.5871770819403292,0.411199310908808,0.4323477843609066,0.43769074290794274,0.4363528907610643,0.46445397138417627,0.4738843610867483,0.5210227095271784,0.4778935031860569,0.5638569838920541,0.7461690455122151,0.49964153852885046,0.5386037389263986,0.4794610262674858,0.7527144157229845,0.7877347810257819,0.6012160353128978,0.533321463500192,0.49255711861803286,0.37843903808419393,0.38204758368763925,0.393318161788694,0.3886731596096392,0.40465748833540494,0.4611809622731736,0.48795303981008287,0.8211137125816566,1.3502508940596016,1.067149136273151,0.5682889301529623,0.45626199212165974,0.4727178164389208,0.4092961252710012,0.4877413327955707,0.3763223003833869,0.4030030915615629,0.4472438950426072,0.44347955431111236,0.5004701839449154,0.7040044378770676,0.6423782360624376,0.8996386960851878,1.0212817137241377,0.8861565846069704,0.617375935491595,0.4931532132836384,0.4758500258728422,0.4485674248928939,0.4132416378777078,0.4727268208969858,0.46893135952687526,0.6557765521317768,0.46509791851581367,0.47375352461043857,0.48872472160666125,0.4718413412364978,0.48144543966579956,0.5682952426136879,0.582558093897792,0.6750449214027558,0.8146305744889877,1.0853289389764949,2.0795151041324926,1.4136241898724555,1.3568120613932488,1.3673491548500132,1.1570101976330456,0.9643487732140626,0.6162640347789272,0.5805470998135078,0.5951913310117448,0.5213517833352349,0.5235205824958595,0.4759630656274936,0.47683119881106417,0.48467477055322816,0.44726873139681705,0.47223520582706874,0.5229185876144321,0.5262735112131313,0.506320300451585,0.5521814493548877,0.6611341768109006,0.6156274173774337,0.5981446447037116,0.7362878265272652,0.8484126911972849,0.7358350519964564,0.8137772196434019,0.7684433660368062,0.9022047487689352,0.8416944715581538,0.6548015580276698,0.6932395600153307,0.9199407471736492,1.5554091077957153,1.2639094309470393,1.4446860133385515,0.7435628717258641,0.6942241541545958,0.7436836360704878,0.662891561900566,0.8215519110245851,0.6234556177464722,0.8067517390080573,0.785705778099853,0.9541821738701413,0.7384388962445683,0.7402649570160651,0.9804399802748827,0.7552558232606755,0.8116464446787467,0.5553168578610704,0.5007212395630255,0.5039264312437769,0.6039450229381064,0.6597690157168158,0.814243387986901,0.6661920738654704,0.6242535313546305,0.6515065538056969,0.7023154141638949,0.6252439994049829,0.589797692002897,0.7642945242814613,0.8366616879361187,0.7394671261528895,0.8038628536396198,0.9013371754245975,1.0396344210612207,0.8530924097756221,0.8998850806832408,0.7933897963699502,0.7514173656862272,0.6415313819276572,0.6277871247956237,0.7126112999030808,0.6141586760301191,0.612338035339798,0.6419500590821005,0.6542770274972964,0.5892201830665702,0.6397580776906784,0.8177597253484371,0.7002292477925397,0.763900764282398,0.7957070558100212,1.1174777984717224,0.9134162290697442,0.8604617187354873,0.9574948453201709,1.03960312848788,1.3300529128669698,0.8450157478335026,0.652426396809305,0.5143153984120366,0.7626389042442481,0.735571444417163,0.8190934262795959,0.785896708276635,0.6128112434368602,0.48374433046903786,0.4613814326854966,0.4228529487718234,0.41923963830108085,0.41377447787187127,0.4325830813012254,0.5294464797505086,0.39454719045886627,0.420943620359102,0.4648661342297073,0.4049229211509687,0.3853353857892449,0.665191640738636,0.60168862790137,0.5483805006373658,0.6950952963391932,1.2142521705679465],[0.338397906824762,0.32273573020441637,0.3037519651821458,0.2265123088084044,0.32548822235330344,0.3066534780807974,0.3053788670552473,0.3377686175935289,0.35977540459369606,0.3091794989549757,0.35243385971343577,0.4972098892651514,0.3398653574264625,0.3973462768442676,0.4162641561845533,0.3789580822275788,0.38180065445046435,0.3871245823463461,0.48748969064154307,0.45766683310409595,0.5033919502206037,0.5959898946103628,0.739145339789976,0.8529546441042669,0.8127324028878271,0.620214176137777,0.47710836240744997,0.4228320365441935,0.38750957506842987,0.3479961338032785,0.39849082896391697,0.3945633434817371,0.47115022889180574,0.44183670600763614,0.3653813215134971,0.36033075836891976,0.3819721240536319,0.38014833251309715,0.3408335154189252,0.37535836482058677,0.6499348417728262,0.5028801528979292,0.440903223954825,0.6452035262471094,1.2770511223211571,1.7815120337702373,2.0860428835848075,1.0223744467456521,2.2593267573116065,2.4789074317753363,1.7552352324423133,2.447720513613387,2.5250191766239087,2.523168274736702,1.4562073647731089,1.0483052587255288,1.8812119287992173,0.7628538605357378,1.416727736633031,1.3487520204088979,0.8172843346974253,0.6456579780495734,0.4754875461857823,0.6564182809593845,0.5730398765609485,0.5311398037499895,0.5760488997441949,0.4900203402547289,0.6499248696183533,0.7190330157278446,0.7760812035868838,1.0118604949997356,0.8817394802224413,0.73201725155795,0.507457448905781,1.0672232357932734,0.40117366907965635,0.4147088099498699,0.403284355901211,0.4412223274963619,0.41641699846160696,0.47360296436422444,1.180518191588054,0.4447163241876656,0.4537497967853883,0.39921361511431486,0.3838778696509433,0.48926023215239306,0.37136367763428707,0.47927123319100245,0.42223512104317323,0.6300038336666293,0.48032736006599497,0.4343961327680684,0.4243601224401204,0.4944619641248133,0.5504904255814218,0.46958780499620295,0.4599638493069223,0.6703379158092282,0.43755217091644877,0.546264849704098,0.43771520136216246,0.4818479036590598,0.5184297058372977,0.44452004797614153,0.6929904257825272,0.4318798095151202,0.4359723075044259,0.5260893088676051,0.3589019122809064,0.32918300129770983,0.30470982361638627,0.34842972540040873,0.3242032535449302,0.40001831818077144,0.5457349515486047,0.6714760541547998,0.5017413920424455,0.4342911581954683,0.4529083646264441,0.3799642181545765,0.40582864746984765,0.3403450051684733,0.3165877005728603,0.40780102316927413,0.52112484376584,0.32707062342299753,0.3469857612066865,0.37629173717025516,0.3538593569701305,0.3940818188030154,0.40014795963342287,0.49575220378911805,0.4063031258014353,0.501484728830718,0.7097440644107567,0.4266507454755744,0.5203728930912206,0.44329121713371356,0.7240883125007814,0.7216243800747695,0.5683011552582352,0.5068354784663991,0.43281212013470755,0.3311304471240235,0.32888468301001184,0.3355044085313584,0.31732881974318733,0.35280208050984657,0.4090123508426267,0.44049093856552163,0.8151568391356422,1.3349321138949133,1.0572122965750177,0.5213221046760372,0.41408106870181743,0.4119963699618637,0.3747130691942125,0.43184242381171645,0.3238424724023044,0.35092543767341866,0.3996906952934867,0.3947453344941194,0.4573913370120516,0.6112883159168645,0.5803277988028983,0.823588361511169,0.9594917707751229,0.8474530974782988,0.563647521634948,0.4250729787298892,0.4198443437701943,0.4025097660456707,0.3456469628735502,0.4159222238582651,0.43597106738628183,0.6325053517383328,0.4048589757562491,0.42599767236178265,0.43601276200891614,0.39453437888752996,0.42099259165950625,0.49556606901065936,0.5030870928888035,0.5970972781073882,0.7445268626027731,1.0207986160395075,2.0137364252673846,1.3213767479556602,1.326076113806061,1.4100938612680212,1.1304663558252086,0.9149876207471969,0.5371931892239765,0.5015622562745629,0.5588059750850163,0.41410477049842226,0.425895220504814,0.4141954228127878,0.39941809695934694,0.43262410518252187,0.391733516240721,0.3932722684911714,0.45297782340478304,0.4588558624521115,0.4411035021161582,0.4848590491601226,0.5793469563063073,0.5264163659937773,0.5149244321608882,0.6231290977898253,0.7172598246682031,0.6248717184878501,0.6971834091997091,0.7169180610246364,0.8041761927962456,0.7920389187406746,0.5986303145718094,0.614069738364891,0.8122549701790811,1.6999778397993484,1.1836338125053805,1.4298245323922456,0.6578601845652796,0.630337557972719,0.6905834568941317,0.6201566141826015,0.730679089913372,0.5406682336858692,0.7531722206037382,0.7021553456428083,0.8934843024136965,0.6609915577894175,0.7114516500657216,0.857727443198465,0.6743419475489385,0.7250844449311422,0.46936056108775764,0.4420419398774168,0.4580997671105382,0.5734586172784687,0.6643686065193338,0.7878004844817375,0.6607562370410268,0.5978044859904813,0.6118105295837439,0.6982578308135649,0.601333473955343,0.5572145869909837,0.7417502410963163,0.8327948453139231,0.6956771368057206,0.7386580189052422,0.8496881108858452,0.9635108854009472,0.7508933768482559,0.7836655672296262,0.6932322532744946,0.66161839626872,0.5759136203103208,0.5478548719698735,0.621167002908235,0.531322454409682,0.5400961765133971,0.5572235220936109,0.579526337036398,0.513010123937022,0.5537888898851434,0.742906324259994,0.6425721944724528,0.6722034731115112,0.7052684396154206,1.0440032168633573,0.85098921732938,0.7949530905216365,0.8982289167891894,1.0086914074570081,1.255614451084482,0.8138868327896148,0.6217442114232453,0.471719282686654,0.7699671469507287,0.6887010073947548,0.7745179196523205,0.7403904570735014,0.5487129183933842,0.4148302622969933,0.3836262706197776,0.34955467168882803,0.35688301955677354,0.35778845737675186,0.3592358126205569,0.5222163562287635,0.33673421912040397,0.3626134505362187,0.40362309412865166,0.34699414255647704,0.31582286494326256,0.575685017638322,0.5559752595046036,0.520325100856889,0.6928514223179498,1.1935689741080153],[0.36577056030996535,0.3182575947337836,0.30032720543396707,0.2610662982866203,0.34887871175104007,0.320109916045262,0.31328711186320296,0.34905952679400654,0.3745447982316147,0.33437632479665613,0.3681075207357644,0.4748513511041566,0.3543133054123007,0.3930585409869681,0.4460159895522277,0.39614944689761267,0.40774249914166294,0.4186894727997751,0.5253569564239268,0.4971275399668018,0.5694629767859459,0.6558098024590259,0.8097540935552304,0.9205627445096387,0.8461462052946913,0.6823220553917855,0.5236258614466688,0.4509384288900866,0.40129456920198264,0.36966534369928633,0.440474312597534,0.40417699101975896,0.49211019643765325,0.46417056358035697,0.37863563201266176,0.39388383909687574,0.3982598243012986,0.4116596504726683,0.3804359874572194,0.40145051150378636,0.6861141120641524,0.551451064060989,0.50326218671888,0.6221966079405561,1.3208526011022348,1.7674920501332627,2.1974779772662605,0.9636338139975245,2.186619729944572,2.3194387699772774,1.72743790228376,2.3808272788873484,2.4593771965263738,2.429569212379386,1.4420713781783645,1.0078029463522045,1.8830526345505758,0.7708310883028869,1.363633115974361,1.3912326323746314,0.8969458967369095,0.680397736862476,0.5094028623728919,0.7470036089929758,0.6276648776360809,0.5751242914607282,0.6446570705876382,0.5372505239851864,0.7224860014570055,0.725928688567811,0.801347431128631,1.0267063125901954,0.8822152226867677,0.7791358938333632,0.5345704411697305,1.1585635739565248,0.4433346672419947,0.43513574218952955,0.4227365152829424,0.47878164628729886,0.4275461688615833,0.4829664320040426,1.1823378479952837,0.4374977418053322,0.4833577692866251,0.4037242895395564,0.40737932346054734,0.4756980006784683,0.40922905483188243,0.5061774365455085,0.45978715409463017,0.6846402856474479,0.5330675545035681,0.4689288903681399,0.44822046963733203,0.5392670833584257,0.5848202307928507,0.4785824929263614,0.4625520047247555,0.6822182515101345,0.4505940305956944,0.5359079230548486,0.4274370675207395,0.4712879881227391,0.514375929350707,0.46943357400041524,0.6871721904890364,0.4373885068628128,0.4421674386689047,0.5417210421975022,0.36552660502125006,0.3475767295939935,0.31353538526328584,0.3551091583335072,0.34944815780261274,0.39624334816426143,0.5328820497166739,0.6451915663241796,0.5553223055602617,0.4598278377972442,0.46968385012092817,0.39731729162945745,0.4322796527557473,0.3488397593628825,0.3382638400394059,0.4033119220932522,0.49623750293545354,0.33461725901622225,0.3457541747201153,0.3868530076547641,0.35940542984492974,0.3907442864829962,0.41530491648030665,0.4910224039846568,0.4237171061190476,0.5103465329854336,0.7355705379085189,0.45650584675732236,0.5252752904382794,0.46879457123389345,0.7706089389906728,0.8024851045221828,0.5956229129234947,0.5326403298810353,0.4561127358002516,0.3719902773333322,0.36434523784784184,0.36432506236925005,0.31283394704910966,0.3678697148407337,0.42346738061371225,0.471923727195489,0.8670114594908535,1.3578735379097575,1.1159842786896237,0.5545424816173555,0.43010614765674077,0.41827558499134915,0.3824872117584984,0.42312065806750904,0.32768419882514566,0.35854781216236953,0.41188674572279366,0.4072822866177136,0.46607579610257543,0.646704031877924,0.6117775928247088,0.8796034227947023,1.0112306822820276,0.8943588128097593,0.5872396180809704,0.45909024326192616,0.4355392448092713,0.4057583022151948,0.3562391693596376,0.4228419785784808,0.43930650208340316,0.611544625719444,0.41093006608751004,0.4257613356269499,0.4372324952004482,0.38962280993893045,0.4017019741841097,0.4881573511880827,0.5064396242828899,0.6406781165749696,0.7908607952298856,1.0979775204535653,2.031170656907732,1.3331851871431235,1.4568021387238475,1.5460828857817015,1.2148746038734475,0.9614234466620162,0.5691883808597197,0.5529993462351607,0.5663811230195525,0.42547847256435406,0.4386819561882964,0.4155331672922655,0.39846489116042216,0.43150033077650374,0.39000310784014325,0.40119199720543436,0.458759634923212,0.4617088018358789,0.452159866536506,0.49592564281312507,0.587868303195932,0.5261656634240657,0.5284530865962521,0.6461502553154242,0.7175419553856784,0.6312980220212095,0.7266863279004923,0.7217435504850007,0.8435394694881413,0.8209673957372312,0.6203862901513232,0.65147255293509,0.8578547730543099,1.6446325183477122,1.2256229648887582,1.4378138115699308,0.6773639328125661,0.6439334060436095,0.6992768208391432,0.6229457854882501,0.7471122095125985,0.5481862008322975,0.7506535701420217,0.7160489209414602,0.8980625687781818,0.6584345410015738,0.70635743373359,0.8911901331546629,0.7026841004894337,0.7450010686780776,0.47510455606334345,0.4454862262487258,0.45864286472025667,0.5769731330128465,0.6729613617439277,0.8003503173989434,0.6763313543019235,0.6054972132288782,0.6182641724978496,0.7307425893555288,0.6154451176487391,0.5698676480434218,0.7710135442082556,0.863684291313005,0.7101709460082393,0.7647733407127104,0.8907828709448224,0.9854286435688054,0.7758294745797628,0.8226925340175959,0.7208248997125608,0.6850667292609043,0.5906376484242681,0.5645128407895363,0.6533612920090012,0.5495848684557056,0.5505893763625606,0.5813650521993726,0.6015799864102686,0.5302692375245992,0.5738823291203945,0.7700499386677662,0.6528400017368409,0.6995181475172964,0.7394803503013461,1.0829315548125273,0.8777187712288992,0.8081449782154322,0.9379841444241626,1.0158062341776177,1.3071800374551632,0.8127782184796657,0.6172440429802576,0.46646550527445,0.7062611154362289,0.6697593267236212,0.7754785394523818,0.7396207728675909,0.5597949218586843,0.4236508172717332,0.3921598917266838,0.36236889023824664,0.35081499954478607,0.35561062358529133,0.353619881602264,0.5730697080770079,0.33715018369739,0.3711224397061327,0.41007592158832307,0.3631577838267437,0.3232345053185466,0.5247800074935164,0.580255510341853,0.6094253681661506,0.860247688930952,1.3437741033759547],[0.40390254294039035,0.34917111620822155,0.3218359065355398,0.27891848243677864,0.36535433747474727,0.30488837204509645,0.2853257675701662,0.3174313010531212,0.34971721048600224,0.2926788546218134,0.32394227188782343,0.42084795062478836,0.3162620379738483,0.34948476234164955,0.4128665449424068,0.34766559563264426,0.39215204443942425,0.42191641568624844,0.5496936325700248,0.5228132616711533,0.5910523024831341,0.682862751973444,0.8371817564903533,0.9415144642490815,0.851457453378716,0.7104452480650261,0.5615548482738197,0.446287679261416,0.388599504324248,0.36219105215428443,0.4305208216723136,0.35709679383803,0.4735775827922882,0.42619100599941645,0.3395147405835241,0.3888884609920396,0.38025323305008013,0.4193281284288393,0.4035290388077579,0.4291902741807095,0.7106865574248549,0.5911880086319591,0.5563198552662578,0.6467832613656979,1.3926378836847764,1.8024210613221399,2.3291315844188194,0.9820538759009891,2.152322180913322,2.1958769464970134,1.7149004464334703,2.3106673043488866,2.4027182471079107,2.3396176545501164,1.447253053626564,0.9809154317638852,1.847164026191693,0.7530805796855432,1.3282822418287032,1.3792538114506312,0.8982660542004876,0.6568696961858025,0.4980955029575303,0.7804400494710789,0.6408637804747742,0.5814385108019586,0.6761727199896644,0.5506370829140854,0.7487501464845981,0.7094958062759336,0.7888156378635406,1.0194594649042383,0.8610281704488049,0.7982608860179807,0.5223404939689321,1.1532800374743017,0.4573292573122696,0.4446661976112472,0.4210614065061488,0.46524410729627313,0.4234516904736446,0.5020114559660377,1.20939296164629,0.44684538570426235,0.5156144967429163,0.41486306503690373,0.42176320130817896,0.46525320654821506,0.40547177767275244,0.45747113539173706,0.46100757278029864,0.6907480080659577,0.5450238869691086,0.44504082570231435,0.4162628083831824,0.5174171142613204,0.53630600366464,0.43683484137148076,0.42614642714158424,0.6440556439037227,0.4002050488692005,0.4942611870683553,0.3749846015406509,0.4497170506760788,0.4876580737743097,0.46321573016285367,0.6689585363096157,0.42429764082729254,0.42346294169580606,0.5329197757022741,0.34254534442305956,0.3350714622473855,0.30059764289386276,0.330085883267264,0.339036462452158,0.3802336810946984,0.5068039888438398,0.593095295239553,0.5837215891304913,0.48152995019319683,0.4923223444811149,0.4129388938663857,0.4387961793095315,0.3285926740231083,0.31580345818464556,0.3762065555675604,0.47773704115238236,0.3219889679444423,0.32435140421825964,0.3788775377214929,0.3496080857085661,0.3835632195647541,0.40284197266607075,0.4739881451808525,0.4150409652377251,0.5000786268017926,0.7233035414079918,0.44727907977645964,0.4878600354529623,0.45559481166207333,0.7648913677563267,0.8306310381660541,0.6127809961294419,0.5411586324133407,0.4572837508574917,0.36462235705162943,0.3520305800888732,0.35421833558615334,0.30498065056787377,0.3592416983862385,0.4045112463743025,0.4694821908246948,0.8618371354564053,1.3812696417854746,1.124006361349985,0.5270433999631234,0.3879587491990147,0.3795122834343568,0.3520369686139895,0.4185486244511147,0.3265967927447049,0.3544438738243919,0.3850839444534746,0.4001370375057474,0.4382139646124086,0.6214334085364771,0.5878356400217318,0.8575962212109542,0.9950696886890923,0.8678371914650613,0.5675994461254185,0.4432759451863877,0.4198595560879667,0.3901796683854784,0.3489993604158762,0.40944981253060486,0.41820383177582693,0.5872399457479281,0.3999914334168409,0.401729283123618,0.41449455644772415,0.3858029492366504,0.3814726849099161,0.45640232989859275,0.4917007341132633,0.6627373988607417,0.8217364493732643,1.1505256449093109,1.9693998032090878,1.286160175248901,1.5128886739755487,1.6759052961435594,1.2640428722718795,0.9786506085630331,0.5712114850386478,0.5731573328199869,0.5690443867979034,0.4271370869782644,0.44342328993578256,0.41893406997840293,0.3968786798233462,0.4110641604468443,0.37887992716369817,0.4006853132117848,0.44331520289363524,0.44448009523019605,0.46516955653003406,0.4976683188204748,0.569124164574621,0.5207277896640691,0.5360429094768718,0.6419716057247988,0.6945792136339749,0.63909988827785,0.7333647665571453,0.7328036621339107,0.8462600649488644,0.8198371747001807,0.621275577975778,0.6485779432239952,0.8554802169982435,1.6614729364930978,1.2071710215766678,1.4283343886785629,0.6605459510185023,0.6109546155096189,0.6812413209478391,0.6056876411888527,0.7186225180681661,0.5447443968491997,0.7542445727389715,0.7282627641639452,0.8992419613403855,0.6635920605427051,0.738419517817514,0.8881839417198479,0.7020878979486938,0.7640096801358945,0.47995451560384156,0.44198051786248616,0.4625557875211477,0.5662201631941854,0.6559942801683316,0.7820357265735148,0.6653499902429738,0.5809659956802873,0.5897097117934103,0.7098730012290043,0.5970652760059467,0.5498375899747929,0.7513878795321999,0.8460386363427196,0.6929656582263662,0.7441929266808656,0.8702693238052653,0.9535724673410266,0.7533546796953138,0.797181256909046,0.7023023956974342,0.6619523653312461,0.567457628982806,0.5407964568532057,0.6349765959258149,0.5405438098545978,0.5387711638571248,0.5726006193490205,0.5979495544009485,0.5274903978606202,0.57080810212298,0.7702875410272688,0.6470168665175304,0.6984320168159633,0.736395140247703,1.083069811737317,0.8881233399813924,0.8029360714585329,0.953826678555208,1.0221075181258417,1.2859080916560568,0.8140497626894986,0.6274205966752381,0.4875213645429065,0.6983387036962256,0.6618900084630818,0.7743846684047735,0.7498910465590913,0.575507939790386,0.4336147152325963,0.39862825428173215,0.3650411730899291,0.33548071318274675,0.3304479290724217,0.3501709637212627,0.6276159085084676,0.3095155127663344,0.3671740011332867,0.39254931965248135,0.3420670241381705,0.3179288611893511,0.512860118058989,0.5576713046406482,0.6701155126179934,1.0337746275139914,1.5568401347049785],[0.4490284527143291,0.35979766632385807,0.314031386133334,0.27854751979595693,0.36001208551689123,0.28909144894123073,0.2491809401283126,0.29901950446108294,0.33365052417108354,0.2818288903785508,0.2992029429684282,0.4055963620280253,0.2870221968982889,0.3325354929425836,0.4141494504282428,0.3411299624791248,0.3818732472812065,0.4328589171585815,0.5779332916190357,0.5322152079051129,0.6176488270159005,0.6849171154818934,0.8575829688229704,0.9759983755985693,0.8370273505707595,0.721570644063509,0.5643141720968614,0.4465540537463606,0.38792802444338126,0.35747626995232207,0.43579854840402443,0.36200993208620913,0.49529291840620054,0.44246849956094164,0.3490256557937157,0.4002528262963576,0.3676070174529978,0.4236519276346401,0.41707590470461126,0.43815852144485856,0.7074259091149346,0.5990922750685959,0.5645898936013509,0.635907842717341,1.4556259690172992,1.830040966738916,2.444003874260559,0.9845783143604852,2.103027887457615,2.039005722246361,1.6857706365703358,2.2258263648485497,2.347779834779915,2.269470434773404,1.4483377962662278,0.9491157087532937,1.8206093982703886,0.7598425720119335,1.2882719615587686,1.3550964965554522,0.9385048501339914,0.673458079826234,0.5151815625739357,0.8456381480162245,0.6661872209371472,0.5864626248030433,0.6974667192900372,0.5746528921413576,0.784786519369668,0.7154535216001384,0.7946503641610292,1.0197989851746465,0.8575837816390055,0.83939800970112,0.5377950219177122,1.190463149083325,0.4818759212579561,0.47067729871174074,0.4346406380495876,0.479673497551943,0.4247104293610276,0.4977908685479349,1.2154828469126235,0.4489966202206178,0.5267997644679119,0.39080777210810735,0.4193822369701303,0.4487959719830292,0.4284553753122136,0.4634822507266973,0.48919600573819244,0.7137487249460687,0.5639986444197632,0.4626499333633041,0.4209567684101371,0.5327884189371774,0.5423996252144696,0.4439733104587831,0.42495581106895236,0.628418216580544,0.4032116455684817,0.4685456923336444,0.35660026358008856,0.41608521671504983,0.4628126124310078,0.44747029648479797,0.6422893061368773,0.3998942160482,0.3972021976241749,0.538969116527559,0.316491447582012,0.305483769339537,0.28465760149261615,0.32784528815594033,0.34348631148775793,0.3712284742241375,0.489500146556253,0.5540182051158421,0.6126159287226345,0.478809555438482,0.48022895939756877,0.4158169675141544,0.4400879793110495,0.3203663977001203,0.30825215747703183,0.3594737504892892,0.4391066259594437,0.2968282061197696,0.30509683132245935,0.3632550607768015,0.3342225703554594,0.35652805316777414,0.3815864956409285,0.4593193053941652,0.4004728285558156,0.4766079005621305,0.7068327168844282,0.4345124432070689,0.4935690505732428,0.4626995444476113,0.7837337168705748,0.8602695257373233,0.6407944635248428,0.5607412731997885,0.44567946751852205,0.36492294367340095,0.34966937084940264,0.3471036634503579,0.302988172057695,0.34200969162926315,0.37325619804762505,0.4723077078788007,0.8846289639841534,1.3964429632346047,1.1458392813605822,0.5248426861043768,0.36724182596203864,0.34767462932910687,0.32383975136676113,0.39640802132523917,0.3262731932626636,0.35287716307157324,0.376227780641629,0.3968459250034317,0.4303854540826762,0.6113491748651109,0.5792409009241284,0.8395994736689094,0.9863988982833729,0.8722821258784152,0.5618022370016911,0.4330249036772864,0.4110450012163231,0.3733280707031989,0.33744929606742957,0.4024922160456028,0.4057736389025276,0.5784406438659236,0.3998908996525791,0.39059889752341426,0.40663275851438496,0.36405506887573974,0.37204960190666125,0.43706929232808317,0.4772543718485782,0.680994361359621,0.8414983611277593,1.2061019092985374,1.9224188647593532,1.2752695608373352,1.549385427268383,1.7711279272817306,1.302710504105205,0.9886682995878933,0.567419907276582,0.553772554934733,0.5609646869879366,0.406650462743654,0.43545846019857526,0.4102926556473908,0.37663168306573824,0.39270484717999293,0.3646322185963931,0.3839327055267254,0.4236797910253272,0.4263904649714596,0.46120368660751415,0.4826663050301817,0.5432243244209302,0.5010734160973392,0.5257119292540806,0.6199575114401265,0.6593277950647674,0.6291068180452916,0.7185298596294427,0.7279575678786829,0.8223307030207899,0.8074124555725224,0.6090663328561475,0.6254487951000258,0.8193742760533911,1.7242279885207177,1.161922677708811,1.410543496281611,0.6338131063631532,0.5976342791255487,0.686711530172402,0.600581728903616,0.6886375659247361,0.5167772240999344,0.7346916384026164,0.6923354364938031,0.858743005369726,0.6227336008374241,0.7252590113510494,0.8543796460806152,0.6908992472632551,0.774330721836995,0.46327313799974834,0.41923497295789575,0.4483920163303626,0.5551489284770095,0.6438508501271837,0.7656052992973856,0.6644358531440012,0.5675530045931193,0.566142568221254,0.7084578890933554,0.579263657476619,0.5361305816973032,0.7368878646794426,0.8345287174827147,0.6715606612020723,0.7129941386213563,0.8431641951500475,0.8966672545305124,0.7181050259938239,0.7599396493923899,0.6702582262518308,0.6282943419167053,0.5377850904662063,0.5097451039214096,0.6080595207899769,0.516767572036832,0.5140421733863888,0.5478604807145486,0.5787894671582402,0.5104175862969116,0.543066053078542,0.7506514857683404,0.630615777724149,0.6780914331524169,0.7189277992661899,1.0649387025837054,0.8780858496405877,0.7820479880506078,0.9445538135792642,1.0168008305166985,1.259872234140335,0.8037775141484316,0.622951935828736,0.4858760057257765,0.6970057687792286,0.6455760300823411,0.7615696860323291,0.7346473732508249,0.5736796753565196,0.43198531819410146,0.3943464500143048,0.3700202725382685,0.32113884879233623,0.30597285474257363,0.3309884940223215,0.6760808383249404,0.29331534079407356,0.35541905820429237,0.3850942694354762,0.3245854089449621,0.30463374380359254,0.5104211119411182,0.5463951822310062,0.7486334440716247,1.2064111877347539,1.8326522330543928],[0.45639389719682544,0.36632228696936653,0.32633630432491095,0.28612263263112886,0.3715654217165129,0.32549407310580425,0.30117448971974,0.33980478380910883,0.38429019717437174,0.34093362297733776,0.3421140832920355,0.43149954717282807,0.31759842679725064,0.3491222605076834,0.4359200222594082,0.3678135708023443,0.4019670448250068,0.45471772043517145,0.6069059371863009,0.5573982226761542,0.6629459790050488,0.7308607703834246,0.8771838696538189,1.0290637748303755,0.8303298281771725,0.7323613913351036,0.5869745868941668,0.45154759353316104,0.3948281475444387,0.37825861525190735,0.4718380535409575,0.4022027018571334,0.5443428698767986,0.4819122550459648,0.3955486966996229,0.4394459203083273,0.4062915445448356,0.44190569970972404,0.45040838395636945,0.47376328554810143,0.701146919063603,0.62578402661722,0.6065764481280771,0.6787258100261662,1.5332887634656296,1.9211562985196897,2.5975443851776854,1.0758792043890208,2.1021732608994474,1.9934795253433015,1.745165528866646,2.231331815282226,2.3186113916051716,2.205546030578536,1.4551063690749526,0.9576068557549002,1.8249978266641873,0.763547859466356,1.2258023659878383,1.45224779965781,1.0068448992954555,0.7151110611792123,0.577753686289424,0.8975043104789493,0.7257360716959776,0.6324253490934072,0.7402238541275578,0.5936845120643358,0.805669174402676,0.7198183742186903,0.7803862733826584,0.9907215041546154,0.842780704302776,0.8646703601033245,0.5752473663659416,1.2412419136546784,0.5293007648106872,0.5084650602304654,0.4815107770464886,0.5113436869178165,0.46863474279860895,0.5329875123705461,1.2183339405632865,0.4598429288594558,0.5766366924008046,0.41785401402084144,0.4532043405298328,0.4965826651611503,0.4715738750226682,0.4917886160570815,0.5286509213205375,0.75237435180647,0.6094620390468306,0.5026921740292106,0.44714647532026797,0.5778216720448983,0.5471377234283296,0.479573513610986,0.4574701509570122,0.6729069598109175,0.441979992652223,0.5023438282784968,0.3903003777207062,0.4434693034310695,0.49800513868865803,0.49627349979054414,0.6365458008658578,0.43716556996445205,0.4174556262524134,0.5704206775711014,0.35679230656518823,0.35302982815411027,0.3194550062332761,0.3468446966976155,0.38227464963203844,0.3755312845934421,0.4807438344061891,0.5503454042550118,0.6742235178254024,0.5087200346061653,0.5098982332299944,0.4423065431385547,0.4580219165489003,0.33802919324174624,0.3448082114193192,0.3688686946624604,0.3952982627254531,0.32385390952421156,0.34869268718022467,0.4017232209426992,0.3719081293271079,0.3792094523433146,0.4362497185651724,0.49031683558058636,0.45582373565982387,0.5371510748435957,0.7575999942141931,0.5009444011617573,0.5313020975552596,0.5075013466787464,0.7942800726251633,0.9075323336668335,0.6466761970355428,0.5728869172738085,0.4641492696226407,0.39546975969593295,0.37447533518101633,0.38165894500654235,0.35174187657029665,0.3770327864782141,0.41554229247472385,0.5337304702991853,0.8915090350899498,1.4351737220109126,1.2053484841672752,0.5668698035113765,0.415001096147448,0.3982069603953606,0.3585270629862722,0.4071127462565685,0.36786150536497647,0.3900293902576252,0.43509991355898625,0.45889967776138313,0.507028060474126,0.6476987278838708,0.6411706795416426,0.9024191211663108,1.0370836994503922,0.9211627472701868,0.6131596800220361,0.48935953200926124,0.47787121650566006,0.428618373117886,0.3799919896054509,0.4103716228386397,0.42821698445492495,0.5749103159632666,0.4165177994644576,0.4112254876343606,0.45042324961230146,0.40093129777076847,0.4144434936884138,0.5018486043073116,0.5348913074900545,0.7306016296919191,0.870299692315591,1.2589908259322187,1.9225246225503771,1.3327581452323953,1.6708301262411076,1.9200014911716625,1.4028643591895245,1.055797733287811,0.6340564296660826,0.6015963131866146,0.5679091571141333,0.4407823388188406,0.4547300408273752,0.41751353125256707,0.38070017427968533,0.38648564197055096,0.35774485647213744,0.3854835208834737,0.41118693029871145,0.41836974187027753,0.46787409638137056,0.4877830339888421,0.5388239145461,0.510977133678531,0.5326215585654018,0.6266063132617505,0.6695420293759722,0.6470729997087141,0.7430154963468337,0.7586438194922301,0.8314415281142915,0.8149549797924774,0.609319631043648,0.6206367572494302,0.8268176236697818,1.699740432349247,1.1478950030044273,1.3973950424561323,0.6450197199981411,0.6077848156559401,0.6703137603897803,0.5888542351828953,0.6839276409847799,0.5234318522612402,0.7263599346925672,0.7043601231620931,0.8447476038078497,0.6105536157861705,0.7498838795808392,0.8926299574993216,0.7227450790106528,0.8093278416331005,0.4848331436145946,0.43108161985836463,0.45599669157257056,0.5422033357655258,0.6329295938312887,0.7520887165532553,0.6742134759533918,0.5538583849628429,0.5482132154954578,0.6956847522634185,0.5607487163534675,0.5304924246296058,0.7245445074367751,0.8330510517764811,0.6666451593832464,0.7011759015789528,0.8252928604958039,0.8859606005265497,0.707772506914423,0.7428467628278063,0.657247198328983,0.6132652101381662,0.5217464823018224,0.498051476152122,0.5990115590832495,0.51971964828114,0.5095929678174235,0.5490088605418822,0.5805797723684117,0.5144911544097435,0.558017705985026,0.762905322681391,0.6415695237784187,0.6997427533100895,0.737759063372401,1.0722670430779053,0.8923930409138341,0.7770327842726467,0.9783461926132554,1.0454302352261835,1.2464392373176643,0.8124824763600789,0.6329253574609593,0.5011386381422749,0.6990706946972255,0.6403801342025517,0.7660569213882482,0.7239762571598,0.5812562901757353,0.4476870769182406,0.4030613832566181,0.38543562881977433,0.32863947303563046,0.3360336549650887,0.3600549577762765,0.7390589859700145,0.33450057646470066,0.3823189456510936,0.43670823159566863,0.3710345626994313,0.35333398094403057,0.5475102893386872,0.5722911708194839,0.8137604183952255,1.3820202281765355,2.0819334627783195],[0.5505789405267433,0.44193338564949913,0.3833888054071484,0.3723520779537752,0.4127541702182884,0.39332156555905395,0.3384186797505009,0.38633301874720083,0.4155382183498807,0.3821123561838646,0.3841401647172807,0.46500588975162666,0.34785986970030347,0.3675143053189855,0.4480819726313527,0.39338567548738,0.40978386612336265,0.45844650416160876,0.610460074485088,0.5469566955650708,0.6559281651790946,0.705860294971043,0.8673459678465149,1.0155727323958899,0.8045139934664489,0.7238832921274845,0.5731779800789663,0.46205603788512667,0.40364120716358237,0.3954838846142436,0.4865732971062155,0.4336546729122011,0.585869472917427,0.5110944499788266,0.4257103930693346,0.4473989075997002,0.4226419860580426,0.4519078702003691,0.46551255531551333,0.47581895231817417,0.6843749958444271,0.6208097220539464,0.5916771417016314,0.6162842992837135,1.504138302235129,1.8748834562221255,2.5648247436258833,1.004378158327942,2.095450657189968,1.876577915451316,1.6734891711190292,2.1449608367470137,2.243537752554677,2.15387643022731,1.4186752453639937,0.9095445222839779,1.7629332465896492,0.7614842578723195,1.2472313507268342,1.3357362169615483,0.9715695682490405,0.7050837954458812,0.5723759889718529,0.9075816708448701,0.6881096612319074,0.6259338070482919,0.7374960476469246,0.5969938701211069,0.8101344948969734,0.7091124646105591,0.7918421771088473,1.019493506630681,0.8665386751545913,0.8787758956711287,0.5757147875550592,1.2498534288972571,0.5302976773230836,0.5215468212381548,0.48612856791164305,0.511112011163644,0.4874362153162286,0.5559264402380633,1.2434997389122062,0.48155748222616424,0.5958063405990157,0.4345004049836878,0.4671812906488278,0.49251303917908673,0.4789405119671614,0.5157189635739742,0.5326439741939438,0.764002354403776,0.609486453498256,0.5302018667679063,0.47426255746939583,0.6036944253677325,0.5711958818274842,0.5053156357730131,0.48875201001705953,0.708975675094402,0.4838226766712766,0.5131478561812014,0.41251700613899256,0.4821079913456713,0.531567362252067,0.5201948303831379,0.6612625312657553,0.45299375227850985,0.44166175307168637,0.6170447289455204,0.4022483105376447,0.37675334066935545,0.3574020246213891,0.3977281655423584,0.41063631610823625,0.40873692628974145,0.4871129808452848,0.5422063126038179,0.6735370799595511,0.5156221406825973,0.5000934289615,0.4515875795516365,0.4581201360431647,0.3679131496582912,0.37384391595289845,0.413042996851911,0.4256221881521284,0.36835830565099664,0.37697740798600815,0.4190379754619868,0.39134444895423925,0.4058323663320647,0.4364740363885301,0.49921089712624556,0.4460046257050804,0.4948604136771286,0.7723873668282139,0.48973770531723554,0.5678902194435042,0.5111464095741611,0.8078889414206986,0.8865883372627411,0.6542764552031306,0.5962766517079591,0.46796429592250144,0.4106475503683491,0.39031369118399456,0.39105160099609043,0.3826057618494518,0.40754207810597737,0.44213458789103366,0.5831904986413907,0.9663905093773693,1.506068692318934,1.2222932495551704,0.6071034864362658,0.4390910544667133,0.4301384372296264,0.38531474096430657,0.43673931172903485,0.41026223088464187,0.4055929240804601,0.4201487362109891,0.4302847281726729,0.4745564110152294,0.6386558531959318,0.617916906464597,0.8528105975224818,0.9775591176474446,0.9106932446972441,0.6020521607283272,0.4824305756496066,0.4737335885682011,0.42751355978664635,0.3846550435594697,0.4380190037721817,0.4426638942103586,0.6048918400628917,0.42204482886394024,0.435649841982147,0.44209920679257136,0.41208637469708803,0.41271011555022014,0.4804181172179362,0.5211700646159776,0.70752932989642,0.845830596218664,1.2660483231714563,1.8551126752466949,1.268256048704899,1.6143212491946726,1.907743001594298,1.3605902081404821,1.0142058872062565,0.6043406085561626,0.5753579157674454,0.6164909943036976,0.43643447597555785,0.47325517400647493,0.44867390036396826,0.41613654401053685,0.44084935632960054,0.4058142980184184,0.43074294516391665,0.46126865135071593,0.47867709876937586,0.5140831887295828,0.5159232934987987,0.5712568863697353,0.543695071266482,0.5665595070645012,0.6448280886124855,0.6742265727041777,0.69658627812469,0.7530068815315262,0.7925888839541071,0.8434322520734876,0.8241596139386068,0.6363439502122201,0.644380668741905,0.8024640314377649,1.8920086663374704,1.1071255574644787,1.3753910944244192,0.6357991540624711,0.631441101523287,0.7067539530761147,0.6398865248697974,0.6809219539195958,0.5296303833517868,0.7418739886839792,0.6700765346625851,0.8135943403668046,0.5977414234678776,0.7897455205344842,0.8136707466566285,0.7080473571493879,0.8164204022767438,0.49504300685976166,0.4663293564180275,0.5123609855650922,0.5900551765295732,0.697114125629656,0.8164349644946325,0.7388085127875164,0.6287436174291533,0.6136330104504588,0.7683707740073473,0.6235520273424127,0.5993061220052148,0.7762231905733795,0.8718081943237049,0.7059397269104383,0.7282190726368429,0.8516313429902608,0.8601568055697969,0.7188843066609026,0.7561860390236985,0.6758861621076688,0.6342558977929795,0.5620836695372843,0.5298617872522241,0.6245525752014237,0.5483762320203048,0.5411149639386064,0.5592914935740929,0.5900522012990722,0.5318390994704604,0.5561416615286497,0.7342923636238956,0.6435802818456269,0.6840451240955828,0.7121922409183774,1.0532376730000663,0.8810051487781515,0.7788086216400354,0.9711095458758363,1.0681027740751778,1.1941779206032546,0.8226827449576886,0.6606239911433794,0.5447531921295553,0.7724888285673588,0.6765306061178531,0.7746544558520114,0.7569044443857786,0.6055604428870524,0.4704127298935773,0.4377089299139382,0.42400500738748786,0.3832150537458868,0.4020886794263011,0.43977313914988686,0.7920018519243408,0.40316336374794615,0.45765100147658117,0.5153234609649455,0.4342513999529083,0.4243880828676114,0.6305730347844819,0.6296284643977403,0.9191626984941259,1.5342929694929623,2.36273010098251],[0.4954669552143746,0.4098257243224719,0.38894785767467027,0.4109809048068925,0.49973114333174956,0.4716720919742853,0.48955222796384745,0.525555632324194,0.5887169590965224,0.6342685583900014,0.6558474417866185,0.6866206493499419,0.6315344946088408,0.6625444396325959,0.7142060412989897,0.6772382396925315,0.6851322917834493,0.7264165975005381,0.8538902709257348,0.7977990022486663,0.9019623006325594,0.9150639525888636,1.0603472118169908,1.172921667590956,0.9456441379656706,0.8903465189072532,0.7917915109853273,0.7027539383343597,0.6642319932749268,0.6539245574805136,0.7462004599618877,0.6900677786834362,0.8335957547649383,0.7770172919489033,0.6993076531632721,0.7212977152790705,0.6680119783654194,0.7131278966420073,0.722391950009266,0.7378881111813766,0.8757083411519292,0.8299575212461564,0.8097997540872534,0.8823321809556884,1.7717394456398663,2.1528667006812974,2.84472696666046,1.3510272289726257,2.213832872271454,2.0194688680937265,1.9291635817942132,2.2869463395078027,2.364076498319015,2.270655013333385,1.4936098347993862,1.0888643555981918,1.9585232304710631,0.9388597337648774,1.2107637530609583,1.6132053235808521,1.2409038671135526,0.9705090525903031,0.8435962472287943,1.1112311033977633,0.945109723231629,0.8779663475531303,0.9650590180547624,0.8478058397425499,1.0405856835199274,0.9274937308585894,0.934320146690836,1.1189027221876182,0.9810312777011863,1.0974370523207748,0.813152278645999,1.4013053901478252,0.8015021172488461,0.7973240823122714,0.7556856233503312,0.7353845754296301,0.7194389981803342,0.805150061516371,1.3185455924377871,0.7112547124065478,0.8172117296092057,0.663508141728541,0.7357976958749458,0.7172590901636535,0.7371530471354484,0.7745512377988215,0.79673662749186,0.9869917612696709,0.8711097888376022,0.8122563062689722,0.7535504718824224,0.8679311734321798,0.8176177704768554,0.7720235361021762,0.7345507249788842,0.8807421252644687,0.7267459500650967,0.6958364782832671,0.6290935198926423,0.6558061068305175,0.6638770117412035,0.6559721835947264,0.7483186295549179,0.5828970081689112,0.5560822504255947,0.7096332715991039,0.5197744401044716,0.5490796291100423,0.5419397093810526,0.593718076590128,0.6471100273799111,0.6696880059291046,0.7274946681914702,0.8058513781480419,0.9461752548752245,0.7689301686251849,0.7640524916094488,0.7354640535883533,0.7303481799143392,0.6379570523224778,0.5899133166624888,0.5903749508776808,0.5048114658205272,0.5230354760267549,0.5174779370591953,0.5735917914231042,0.5494506022749518,0.5435640598722773,0.636681956643497,0.6458482762506611,0.6695493915977824,0.74074640811169,0.9202714941999299,0.7333427063876362,0.7849708487613738,0.7518626295167209,0.9893657585197739,1.1628627740063109,0.8653772338601029,0.7947355007646488,0.7085004677050826,0.6750207618371838,0.6533692647413187,0.6518461540861957,0.6160874548240077,0.6198453328816478,0.5948105946142818,0.692631846009691,1.0272260343948076,1.5672565232647897,1.3425186107393778,0.7686954660746202,0.646291018258724,0.6175048069462744,0.6119417685382404,0.6394497872067813,0.6101633239017897,0.6601919224977055,0.7014223265300403,0.7093736651955417,0.7387745434773209,0.8500877437512293,0.8257479403387976,1.0578578790448439,1.1745790597424532,1.0790112002177998,0.8215925857807562,0.7154283245133205,0.6983757407667257,0.6710556426071767,0.6331105526401244,0.6238230567992041,0.6497181408602108,0.7334432149733691,0.6565341893781486,0.6298615637749261,0.6755180531639493,0.6037449253559914,0.6162627891075664,0.6967799144752774,0.7549032576236742,0.9052580381980699,1.016693236584369,1.4679762046933778,1.9374185422472108,1.3937557960359828,1.7798450405895636,2.097201348582235,1.5155484769730954,1.1759713206570919,0.8014947414036914,0.7465429057627668,0.7228145230468908,0.563406848668064,0.5630217123395309,0.5188620046373238,0.45696046064671475,0.4761952208196306,0.46119541348890053,0.4611672881709563,0.46912898354823795,0.4907781219130598,0.5159285166272163,0.5172502085117884,0.5718262174538437,0.534300699954019,0.553520808957454,0.6402265070465689,0.6802170591122144,0.6689443295964479,0.7519740125109817,0.7706654797301059,0.8618634213281169,0.8297348440405001,0.6254108256508117,0.6451374778344245,0.8274579620167579,1.7338423045818994,1.1533466035437365,1.4318362363243204,0.6688526685605154,0.6262672013461625,0.6995230121149076,0.636100333091537,0.6817965844857974,0.5543418491331372,0.7769885615997,0.7418233310404074,0.886508487960381,0.6794267730152007,0.8615666025392094,0.9102345060441153,0.7609287552480873,0.8775046946761285,0.5807283820098168,0.5354961301120307,0.5520131151483971,0.6069814536874542,0.7098192272631823,0.8212961287598692,0.7575416207604172,0.6382366871366864,0.6327184020138918,0.7785511782982045,0.6507062142963914,0.5972708981205817,0.7797380962866384,0.8778220140608173,0.7079711617509634,0.7331600893228871,0.865305910077975,0.8895271021183231,0.7329992181499998,0.7769071079194112,0.680660370445017,0.6448086687233697,0.5732134363157958,0.541313683724469,0.6271749173704778,0.5531871765641329,0.562631183493187,0.5798105177129871,0.608343342210199,0.5487356852662529,0.5969414552730721,0.7780756627073171,0.6569245376202819,0.7271929018698882,0.7430524426579772,1.0799833404230816,0.904632446150012,0.8023306778734706,1.029233607608494,1.1097472771965988,1.2410336651229468,0.8421010450496876,0.6621942123566142,0.5358118069239488,0.7332936293455795,0.6860962966255212,0.807046529835767,0.7761128685322608,0.6238149344438724,0.5300843952395625,0.5079872113123849,0.5062027012857925,0.4386177335852861,0.4633217380851705,0.46441275101864216,0.8184097384175656,0.45745940713281613,0.4657050174633725,0.5345792948672234,0.4936039588123533,0.430486860475691,0.6058297568741791,0.6626729721440048,0.9456199796521535,1.5155146338166592,2.4046586311757947],[0.5689592624148606,0.4728427889595901,0.42748313218423356,0.378811370373882,0.42232424088202575,0.39710401006215484,0.3522568345333068,0.397929576892646,0.4085045576850858,0.3626109885264616,0.38472847717442454,0.4842062815094641,0.35422233410385684,0.3743707444192239,0.46064335346153834,0.4032513835165499,0.4161404161746723,0.46951801583232006,0.6214302984378985,0.5597844749839666,0.6619543834024778,0.7135189102086374,0.8801005236871088,1.0356390907461543,0.8237821642885078,0.7311417500024666,0.580027892260881,0.473583376091083,0.4244055529676979,0.4091379622249707,0.4917094755787941,0.42847672372919476,0.5631537809286363,0.5015932092570554,0.41955737385278663,0.4603186908920143,0.4257415762375757,0.4552967208851839,0.46336542109503587,0.47377434640025556,0.6973459579845778,0.6091429475814095,0.5858587276678017,0.6526501537077493,1.5266520054336394,1.9062550161288372,2.5893791183940853,1.0272392411854385,2.0810702300370836,1.942024103755017,1.7006496208520523,2.1834383010982905,2.3169153276368286,2.2229297218248987,1.4586801454746405,0.9439567833345138,1.7993145584127166,0.7890703822909048,1.2424581514569313,1.3582012559310808,0.9840320319272728,0.7142175054156789,0.5772476253733217,0.915641136062442,0.712708443598735,0.6167542507822498,0.7496863682247786,0.6081078155467181,0.8271845726116634,0.7200864965495073,0.8121192185531898,1.05034737291902,0.8830180763886623,0.9182215878531921,0.5877322185434237,1.255691207780286,0.532571475834512,0.5316105259568031,0.4889612446028615,0.5202061356455879,0.48828564572944805,0.5468753705281896,1.2165985592095923,0.4844187676890433,0.5718485999615697,0.4308055327607252,0.46864704242617616,0.509452872569684,0.4916366749534021,0.5218225092461688,0.5429250564957873,0.7703148137499349,0.6137047493397992,0.5301670347559395,0.4744884979784711,0.5916095792185012,0.5803007277694466,0.5088785055257389,0.49607667660077426,0.694519980979292,0.4827820548447139,0.5317598828176953,0.43690295693944176,0.4959852045646778,0.5319345741277591,0.5244648200356583,0.7223650323135256,0.4880482625667402,0.47817863693364515,0.6508849456335888,0.4170885616608976,0.40299199145952763,0.3749475689848192,0.3813632690239503,0.3916617915511515,0.39921046141837824,0.5002704115320784,0.5754766957734013,0.686631452946904,0.5269226536702942,0.5191200787062425,0.45312230497882067,0.466852415010128,0.36040146787681315,0.3625376424594947,0.40660887135391544,0.47683145578314273,0.3838927795624087,0.38789362841591135,0.4613539324441717,0.42403040492828137,0.43651179333922263,0.4616640904442793,0.5379537890780182,0.48156564250875594,0.5594381016099667,0.7675360256113924,0.5003006135377115,0.5433235282437218,0.5166991003938273,0.818977360035077,0.9113653280227243,0.6680382028709408,0.587361687748053,0.4750218708860299,0.4168353179979131,0.39863567286960505,0.4022595400936444,0.38932811562422076,0.4271907432269971,0.46332953215566114,0.5614407584853646,0.9696430817542165,1.4729248102764143,1.203915845060102,0.6063705383415069,0.45669591155751627,0.4509077142382407,0.4063335881230019,0.469559205523654,0.39230178881274197,0.41392965380087665,0.4349177923275172,0.4526691462867601,0.4986908796568857,0.6323816496555561,0.6342417210088906,0.8982860611225163,1.0357199427876729,0.9299387673006617,0.6244313221979851,0.48907951298861274,0.46175674544963585,0.4363997047127566,0.4001387040900283,0.4502492562572832,0.44402997330903143,0.6160778100214185,0.42462523749781567,0.4241291626128623,0.4790462324811034,0.4406846219338722,0.4388029531972292,0.49443746444906295,0.5274028269833511,0.7261804439355254,0.8712060879692826,1.2630363052257745,1.9119082534824932,1.314821549179859,1.632909765855388,1.8614623521976814,1.365617476328575,1.0354395066785174,0.6296739605678495,0.6119798245617307,0.6016737581458016,0.45856209786971774,0.48662561065515453,0.4839676988216667,0.45679854468751163,0.4890162874745075,0.46216835077985635,0.4727246766656302,0.5305856556230717,0.5447087627150234,0.525704220519669,0.5858671762501542,0.6432835217718821,0.5944667396385118,0.6108498620816863,0.7011964670463732,0.7446522388007262,0.6975206046669843,0.7853037038655705,0.7987641535998778,0.9007307539802358,0.888229284341398,0.7004824856250849,0.7248002471685279,0.8965664311154093,1.7176754111136963,1.2645849358284242,1.5139309143833009,0.6972677329952189,0.6649393632759601,0.7532521853057152,0.680748107297506,0.7281202709378677,0.5845044687830946,0.7939444870434377,0.7685466567832084,0.9343385283591134,0.6874971920935089,0.7602480352689008,0.8786315203971041,0.734608631425167,0.7880281428720657,0.5057608080113475,0.49543375924683664,0.5252554707001018,0.644993234961238,0.7178404310770351,0.849481845871842,0.7542652189928786,0.6426304114698472,0.6710571246864305,0.8047028779460448,0.6644908406964171,0.6288897032933447,0.8231893997187898,0.9080618344961912,0.751889906448712,0.7968550629528187,0.9335470072815304,0.9633904811509288,0.8085990441470633,0.8582185653891719,0.7584570015288734,0.7276235924682183,0.6532181243762928,0.6271166335244729,0.6983810042296796,0.6108041222905307,0.6233724391575532,0.6383255455107604,0.6693853200518266,0.5941468298050561,0.6336009822797083,0.825602244936262,0.7007397286720519,0.7286008225395507,0.7831826943812341,1.13572357351737,0.9503202015886718,0.8449604964283416,0.9927704802697842,1.0451256749006574,1.3157755197438452,0.8398852730119314,0.6901932900572754,0.5707294901723936,0.7057765409355213,0.6602513529545749,0.7715653551520536,0.7381868268678482,0.5958655313306879,0.47841710249702224,0.4509235155560692,0.4429429988745014,0.4148423080410863,0.4255789029598873,0.4520189066473423,0.7728957526745779,0.4000955978417073,0.4744455480905932,0.5079072059665873,0.43048892416391493,0.4256021662989923,0.5866860739355807,0.628316224818149,0.8315314155249434,1.295818745994481,2.055702488444996],[0.49508488483152796,0.43011742460779867,0.38631521016843,0.34436462444924393,0.42390350218157563,0.3423876594520765,0.34640077431993493,0.3703880541687443,0.42466728111670365,0.41150565870512573,0.42566236855979817,0.4960903029994206,0.4131689600792253,0.4680282347612669,0.4999555696520695,0.4515208543057734,0.529617694098552,0.5903230168509958,0.7487009034859679,0.6888608687502188,0.7921283100715243,0.8178598633305926,0.989137330334521,1.1699532486338493,0.9154116731712612,0.836020815786814,0.6871325760098693,0.568336572341415,0.5222633824320791,0.47935216017304216,0.5729630685207943,0.4670268413689109,0.6221583368430954,0.5699940753712386,0.5040439940271859,0.5593990030937962,0.47742407315223406,0.5423501715215793,0.5538774492847419,0.5771892793648981,0.7538040981873406,0.7011703570215411,0.6805910477819931,0.7751772618799383,1.5898890469876763,2.0032353915095866,2.6857524202208047,1.1682397340350588,2.1267342654855685,2.048263624051188,1.8380022057737604,2.306435221910434,2.419443652509383,2.3195285792635403,1.4828717912656244,1.05606735847595,1.9531247875401307,0.8539196568097555,1.1766426209151248,1.5775641003339063,1.1377143272263173,0.8518999953241154,0.7065226147367062,1.0177594848713263,0.8481670371306185,0.7731379306333636,0.8466203672119789,0.7230131191848702,0.9256211129097285,0.8404239286132491,0.8631882915633622,1.044210806371078,0.9060847602722714,1.0011055170542569,0.6835864581596626,1.2966636621393133,0.6560529342981342,0.6236900510873243,0.5949117405691494,0.6042803530578749,0.5582176788367738,0.6160272591557444,1.1933305441839681,0.549415230865557,0.6532972410030827,0.5181854839607065,0.5547018315989996,0.5671514719148667,0.5813155762074539,0.5813132365086137,0.6315243819179542,0.8180878126296537,0.699684880274068,0.6035941351088631,0.5486845243883283,0.6695437943472605,0.6404395009551943,0.5527964686299744,0.5151147915022223,0.676749696686927,0.4972824730371929,0.5342141279338607,0.4273208431553369,0.4826922469824442,0.5193550187062617,0.499588625235758,0.6852506210533029,0.47061599612031124,0.4591093381698435,0.595137134386898,0.38491123103854846,0.3988987648803609,0.37264105439140727,0.4096399982146667,0.47440430030868647,0.4911701237504688,0.5917840263361015,0.6943404465122605,0.7749122699886108,0.6186624978222309,0.6218633380994862,0.569433985515991,0.5790976075555067,0.4653407520522941,0.4188912234134587,0.4329442551110358,0.4527943839522597,0.38413277973418203,0.39486958803397654,0.4464792872080569,0.43957668242423337,0.430772813944201,0.49820100586063815,0.5280665587636371,0.5291211863958508,0.615875921982666,0.7931993265644977,0.5819048981184498,0.6153633239858098,0.5910186242887693,0.8746431157051523,1.0172528340037128,0.7618810203883977,0.6568658431780947,0.5772734322737364,0.5081810733890267,0.4907253776977672,0.46988783041395943,0.42415809477531147,0.44752695396866615,0.45131641772212705,0.532812484807267,0.9074190488964812,1.4193666506972098,1.1837903486359143,0.5824411037738428,0.44847955452574306,0.4281265147444483,0.4227048965192449,0.4664465983734597,0.42141151768031876,0.49524427626289735,0.5291206271898672,0.5485925094742801,0.5935011818358991,0.7386647309604369,0.7201643318960148,0.9778073650179896,1.102963798329236,0.9709584655082623,0.6871832456441521,0.5756462470965912,0.5481234285985229,0.5121543882257624,0.4664033024854068,0.4742913670915491,0.4807232475200946,0.5938966492609518,0.5007179365857332,0.46615383411730976,0.5444779725995034,0.4531891372015226,0.47614936548518444,0.5653919548367129,0.6076474787851811,0.8196817576331381,0.9493520768236489,1.34118158050555,1.9886712393766315,1.3864262044902498,1.7382590740311208,1.932288881012354,1.434136882893542,1.1008734586111724,0.7068535067149369,0.6942368331396676,0.6376088017661576,0.500134479780652,0.5197796862678262,0.46666659446149994,0.44072401076136464,0.44574435438856214,0.41535816179558577,0.4521879828620915,0.4839287764346479,0.47850932020457515,0.5123077194858457,0.5408453986913522,0.6074370996254962,0.5648987098444431,0.5991716556916942,0.6988457326642671,0.7276848342881158,0.681940903779154,0.8020240957915911,0.7654732791927377,0.914912948955778,0.8465357789339771,0.6753727922488382,0.7143479509236662,0.9112418994399178,1.6717401658073534,1.233866256411877,1.4115666660811115,0.6845031817002303,0.6422368577679547,0.722139881950186,0.6394307667185192,0.7267624908154654,0.5599614550320652,0.7562626566179673,0.7524580369018722,0.8976313632438275,0.6758327356609956,0.7726683311692342,0.9280473307867637,0.7591526553440323,0.8338328015331479,0.5471051152614805,0.4731631371462926,0.5066795558154454,0.6105906406597452,0.698365050409568,0.8004567895448644,0.6963053272419367,0.6090893730465502,0.6118701207633752,0.7179501798689825,0.6077097458473862,0.5683602740154913,0.7595845575759201,0.8550496227885866,0.7049707219503918,0.759856587576406,0.8870868636211878,0.9485971528809168,0.7932357150720823,0.8437659967091602,0.7493363776624151,0.7021265942683371,0.6016650748305451,0.5892047378961279,0.6817622586715999,0.5932997308668152,0.5770516527928831,0.6289346175110067,0.658401311674944,0.5769071671602686,0.6318360595926247,0.8397619469140856,0.6826346033779204,0.7338643989711895,0.772859850422282,1.085002103463025,0.8998579648697158,0.8178336514493291,0.9985400508732339,1.0683136289260504,1.303314384495802,0.8289637608588503,0.6478893428511845,0.5349165699762305,0.7142025937138782,0.6970701278658457,0.8156836393038858,0.799451680833795,0.6281055314949349,0.4908795177768,0.4541278566924749,0.42914418697638196,0.38679479740779277,0.36217464336915745,0.3689042635141953,0.6771591171647832,0.3439990077359615,0.38366677373930863,0.4059992611232671,0.361634256249716,0.33605222637487286,0.5174041071833823,0.5533695454442079,0.7669551143608834,1.2639196911842054,1.9525180125751609],[0.447489316621959,0.39995190463812724,0.3717509354566649,0.3072400549201035,0.4158743888337843,0.3218354651626554,0.29274159381531883,0.32759358217460616,0.3528339249922338,0.2838149538749921,0.3051503298210423,0.427458420474111,0.2961427239018982,0.32568458297591896,0.38775969962389634,0.3285146723436249,0.3759426135651579,0.41809162393012816,0.5679114258892194,0.5234773992367558,0.6113546528379993,0.6998212026908855,0.855898805148623,0.9936960890569304,0.8443996965396852,0.7164181203681821,0.5731667960450739,0.44506261181393314,0.37708322645390047,0.35163240699507975,0.4224114695660087,0.34464842628282477,0.4693974686684338,0.4233566942161566,0.33016354453033225,0.3915521648771489,0.3613757133100835,0.4188970351307546,0.4287126990694317,0.45946519425535604,0.7317072888706514,0.6053214257325611,0.5751166643575562,0.6533282321662596,1.427855766776024,1.8212238651828978,2.406132942451826,0.9912811540799951,2.099171193093735,2.123559915355117,1.693077731229202,2.2498423916078645,2.354054042373241,2.2727064186886046,1.4480504936852978,0.9574422838240674,1.8227295598304054,0.7463239650159331,1.3081914950357711,1.3953051439667858,0.9200742688112032,0.6485191879244151,0.5041070332731465,0.8191567455219837,0.65561287255683,0.5856682804087978,0.6827583711606979,0.5533174394079557,0.7600319856926533,0.6977589368955819,0.7755309586612675,1.0194334289018963,0.8521994188715193,0.8247100694126605,0.5196265914568632,1.1820624690608779,0.45950394401832995,0.45264084186497733,0.42071207509563563,0.45095637218128215,0.4188184509381382,0.5058047982488577,1.226649578716958,0.45880031580676567,0.5335562669283632,0.4194700326686639,0.4173069694511816,0.440383534541816,0.4091095375862537,0.4470636203449377,0.4658101718375186,0.696672679492273,0.5456446224823007,0.44522071430811244,0.4053086342794019,0.5164245211598989,0.5259466526265407,0.4270956746673188,0.4157653756801993,0.6427942550055075,0.38682470766790794,0.47461764746937396,0.3618975379135501,0.4441684606458266,0.5000955166101239,0.45718123050772025,0.6675379216760567,0.4433681433589469,0.44692794504078104,0.5619707257766121,0.35768388405558443,0.3536135314253241,0.3205230856612982,0.3549564672771059,0.33748666985207487,0.3864235741634655,0.5005809339237375,0.5775319031920809,0.6047793971482235,0.48242341190218024,0.48986304878175463,0.41034784105539274,0.4537519410786765,0.3394130903789079,0.32794802915358173,0.41491136218761926,0.5251256257896276,0.34807096069536364,0.36033276035424666,0.41121506228543586,0.4007228930413754,0.4357672868404697,0.4453528712732143,0.4977095954658798,0.4423326366026268,0.5146568496515711,0.7502818888007264,0.47255733802119887,0.4887744788807407,0.47857827074622583,0.7759989597388641,0.8686814442246766,0.6447962317283872,0.5567282159637632,0.46689930341073976,0.3756238710780947,0.3639940585836857,0.36301872034475696,0.32394788865474455,0.36011189566769797,0.3962234690476791,0.45374006286102525,0.8814721205129684,1.3787864258703681,1.1186668702464304,0.5199947175182661,0.3728271944750494,0.37206770713825643,0.3333168127372937,0.4378944437240187,0.3416847712074546,0.38119345815478356,0.4126794044306976,0.42843444233005246,0.4663562409521372,0.6605969721217425,0.6230886959758015,0.8983179388333162,1.0444918696209962,0.898017079532506,0.6026583651028561,0.4668575365919149,0.4365610619625084,0.40322753013308943,0.3663428731948465,0.42536684334258995,0.4166491305981041,0.6032127182376054,0.4106522898588215,0.3995584455992184,0.44702042871487735,0.4055747973393677,0.40453148042302395,0.4955030322920844,0.5323970392409805,0.7032458748102934,0.859782974784603,1.194495338888798,1.9865698244801389,1.324894179410763,1.5694373766885747,1.7155992298403113,1.3016212114471086,1.0135759704844771,0.6277667807493243,0.635768897416082,0.6078930574365515,0.4942390865404203,0.5203247890084404,0.47188665298321836,0.4630528104153352,0.45957931659512063,0.42958224602178596,0.4636015472380481,0.5089486197921582,0.4988329497110672,0.5194797412337905,0.5544208724834159,0.6215516428285423,0.5696422637334747,0.5847178782949151,0.6906410833686292,0.7315713428598725,0.6588254014354082,0.7652867823444232,0.7503458721938667,0.8996280061977207,0.8617903079698187,0.6730168937774299,0.7083626488746372,0.9276799993339638,1.6240635307650433,1.2923441989427675,1.4426187721724701,0.6957425942251086,0.6513738936479888,0.7278581550904557,0.6465557766937213,0.7637081444221858,0.5929692098856607,0.7963342457797173,0.7721416490605282,0.9409863190891257,0.7145533090120058,0.7649869657528908,0.9613063670725377,0.7450124286091109,0.7990562434703737,0.5382696689067789,0.4869695198822325,0.519569420598512,0.6279255312116614,0.6998670037304701,0.8255813833162938,0.7014502839775474,0.6308764244813603,0.635974777423472,0.7527594422763071,0.6393432720593606,0.5902100698630203,0.7933462840208191,0.879295505592318,0.727101761754985,0.7888830686019932,0.9187154580977719,0.9947259517314138,0.809705305639316,0.8631867024103907,0.7643493485703183,0.7246054259248244,0.6293962023206435,0.6091407676197538,0.6943009545340374,0.5888391375999878,0.5853908202680154,0.6284099361625068,0.6483285705667843,0.5800419176525144,0.6333871516320564,0.8311064474505885,0.6973808387436268,0.7513432342080429,0.7995155577633021,1.1174647541579001,0.9215243080680137,0.8395343025036351,0.9961145156813217,1.0429312302990479,1.3422022422914524,0.8348247735746215,0.6610865746539416,0.5300450185232004,0.7086045180803808,0.7005185841821473,0.8073508650214707,0.7842449853070329,0.6237218039536724,0.49467158674668216,0.45984560285660236,0.42339318682812577,0.39619708593802777,0.35846605792828534,0.38807856992921996,0.6466491380584731,0.3335157486075226,0.3975798950074943,0.4277352921075456,0.3688809874630764,0.33493139077830697,0.5215572073549436,0.6036280673774018,0.6789437233866075,1.012015002700215,1.6257445501746843],[0.40341530228045425,0.3713213152244835,0.35900149625184336,0.27742265002987865,0.39606620824169786,0.3031516155980412,0.2945519577432953,0.32525113339247885,0.3604158448571024,0.29805331152051656,0.28819813931536514,0.4003593424870657,0.2937507138098356,0.3414807027545239,0.4047740827920716,0.33395361201774426,0.4068802307617498,0.444128884432559,0.5915386710347571,0.563406684294813,0.6441468856347514,0.7423078643267427,0.8976556893293212,1.0324721784856716,0.8913857757149171,0.7525971970013619,0.6042913177639875,0.46405955280620975,0.4004277629109503,0.35738009457996434,0.4285267497633778,0.3475860980072577,0.4642238175110529,0.41802863714150434,0.33975942770878187,0.4048598590132368,0.3747051911340482,0.44740410315922813,0.44771194152969884,0.4906929770693651,0.7376859177421595,0.6356938152815002,0.6216965519217551,0.6990139821863492,1.4647018134720933,1.8657754197946743,2.4791230504338677,1.0870855360008016,2.1125388434021346,2.1676118855649564,1.759404551878712,2.2987774806679666,2.348158948755714,2.2213873114256963,1.4536424721846983,0.9918716563446175,1.8569289181634543,0.7690259596272065,1.2947712552635526,1.537809401371939,0.977744238794773,0.6643564511255191,0.523180462746368,0.8096912788302882,0.7036379006819783,0.6189972842619109,0.6998508315216847,0.5619840409218474,0.7523472521777348,0.7212817647341743,0.7649814994502965,0.987876635113203,0.8099684914732869,0.8166640497645397,0.5269330661290634,1.157219232110728,0.49275388890638405,0.46572108014110775,0.4550907931845142,0.5022105690330372,0.44455327068514294,0.5026676648168806,1.183457631935578,0.46602415608761,0.5606949007208558,0.4348244032704146,0.4496111621978941,0.4755805131711286,0.439281402953277,0.4399156892874613,0.46846756985787524,0.7049540101125406,0.5677163454971262,0.4391976728186052,0.3967646810360233,0.519701776717205,0.5150816875957962,0.4334515073944752,0.417286318815255,0.6230148161745902,0.3991531508988844,0.49128439743543834,0.3627798871388173,0.43203403565282694,0.49934886381428933,0.4828071776882359,0.6284047593562061,0.47278338775284656,0.44346569706867967,0.5327640568996689,0.3584761039396759,0.3481704866163933,0.3138123035992789,0.3442094873707366,0.36150662193429733,0.389788796915427,0.510388838327254,0.5736024281992392,0.6168021393740752,0.4805952263832893,0.5029844481945269,0.4274111547153276,0.4614681886870672,0.3370584823906379,0.3314732379233994,0.38344156943605673,0.43942855570756123,0.35273954446555655,0.3592767800923454,0.4036121183800939,0.4039748594241102,0.41021791030651256,0.47437644273765905,0.4882223629196889,0.4785045703215283,0.5647122263382011,0.7488056878443995,0.49638607038381033,0.48073458141042213,0.49079680359001454,0.7761340523747388,0.8982858325424647,0.6646315195701356,0.5788472927529494,0.4937578430260806,0.39643533224155386,0.3850709934559205,0.3819413806233414,0.32639662968030225,0.37273189111369737,0.41000155274250505,0.4868836196682345,0.8218181526513155,1.361523558173762,1.1439527106409804,0.5189929069297399,0.3848941356498244,0.37807885773278466,0.3437389361955517,0.40586300656797375,0.35341855163514074,0.3858277029758916,0.4317620317696284,0.45882157331994206,0.5062687802313017,0.6671429215831209,0.6557811518248761,0.9320728370840979,1.084496763272921,0.9141360562138406,0.6230786272722819,0.4941250247676228,0.4749854742717663,0.433203782033022,0.39054955291664734,0.42136358309240746,0.43211905750076257,0.5311636080524305,0.433192386722339,0.4161207768437906,0.4686911482996723,0.40217592961429627,0.42769847170982367,0.5396676152123177,0.5615190424056365,0.7442252783555086,0.8894266088984644,1.2335417833074782,2.0126335575741634,1.3608794105188255,1.6810636385251514,1.8434465481340003,1.4016385850685318,1.0825664078294739,0.6866651107647079,0.6823792638267,0.5948417106204269,0.4900762566876408,0.503398045173023,0.44383082634016957,0.4155405597406705,0.40227283226418614,0.38639589533549823,0.42181057941332084,0.4462752071934191,0.4455519140171234,0.497531144206064,0.5251612264330032,0.5774796811172123,0.5582603358576984,0.5792911021677095,0.6784574731129663,0.7304104304913029,0.6902225393832762,0.8058947698886233,0.8013955367765263,0.880129229383292,0.8450313358556483,0.647219564993101,0.6710256671457866,0.908012474471848,1.5493862121824433,1.2245343888980444,1.4286330047925164,0.6916080163451909,0.6223237085258378,0.6717792884926325,0.594975806719959,0.7287691771352833,0.5680941415309346,0.736058189885152,0.7847853538179165,0.9139386956968618,0.6843247904060356,0.7615942099681703,0.979397558199761,0.7691368344304771,0.8372272910782571,0.542155308293991,0.46407229654105375,0.48405424858084034,0.5456256477245898,0.6275270929814271,0.727849731553829,0.6322120777942231,0.5443696353485955,0.5562444131506534,0.6470326460502003,0.5528982864853246,0.5198335499592999,0.7051559130323796,0.8083626805337436,0.6807516267029731,0.7228391398592583,0.8343867282198368,0.9422317856569257,0.7544783769857258,0.7886720445383252,0.7113626895872597,0.6591628593051525,0.5604919971646801,0.540669297626691,0.6379623620056848,0.5658430345719464,0.5556097983793082,0.6040681087992044,0.6292359523501059,0.5579281102719894,0.6173004937043897,0.8292442214487793,0.6811928179368332,0.7547986764640912,0.8010328956461816,1.1100903802548978,0.9324751230296452,0.806632899262752,1.0055439748520676,1.0450046172928449,1.2757091987897171,0.8178965056309264,0.6492753733474986,0.5356741440788648,0.6674174999353928,0.645926783329286,0.7738677019221352,0.7326797661560718,0.5965800417658345,0.4762010722957021,0.4380910998220736,0.3982308277250249,0.3506181473966047,0.3345082742253326,0.3427842949855178,0.6354889431504602,0.31677377688850816,0.3712721822980488,0.3798233150472701,0.33349071564688615,0.3297141216008174,0.520492143810712,0.503561346578766,0.6861968416628877,1.157156703441999,1.6620934855184921],[0.42077711190912676,0.36881766383949355,0.36633848652655865,0.29711733083825037,0.41314428328963065,0.32496555069130517,0.31256483431546855,0.3448407673138456,0.37672959149906676,0.30730294398613833,0.29903509396015954,0.43351919515795834,0.30724232880408264,0.3530550444568939,0.4103930258067565,0.34689477537101304,0.41082311710430097,0.441420229022442,0.5854919855425169,0.5604972717306449,0.6436800423943343,0.7437146664723221,0.9078282525482443,1.0409442680604326,0.9083004286388049,0.7578553236107285,0.600742785443938,0.46011582611658186,0.40028340757258263,0.3605826835339354,0.42871051609190514,0.3710587003938999,0.4623209207039754,0.4227870843749023,0.3448959546993072,0.4021114820502749,0.37660148686102723,0.4474538318898392,0.4430481235370629,0.488923097603142,0.7500692059754442,0.6300227793746661,0.6174290279938265,0.7088099945081602,1.4524286611355206,1.8518398296420746,2.437967803966096,1.0972622857779637,2.1149270784820313,2.2554146225777734,1.7770906858474207,2.347106611903137,2.3869865832075337,2.254320430749932,1.458230956803311,1.0157976232139765,1.8769645295706059,0.7778785224498931,1.314997390820657,1.5625212307102556,0.9767085626509956,0.6693118072473684,0.5204151013202998,0.8083255551485429,0.7003180144473512,0.617824877887028,0.6998635641840368,0.5598833002725925,0.7426091279909015,0.7285811461194562,0.7715401320878241,0.9930296016264399,0.8210326732536734,0.8172370470868676,0.5326129051677201,1.155694737698181,0.4884197057678553,0.46128692941079613,0.44939312754427935,0.500257782743319,0.43227977424941244,0.49667389155978864,1.1754719139378036,0.47086423696323954,0.5652494628198397,0.4430436584753925,0.4482811826502008,0.4675609640145912,0.43630684399759173,0.44969270844397324,0.4650590703429813,0.707569745241111,0.5641098839260902,0.4429771447006367,0.4080935681913154,0.5228401525520616,0.5228090096945166,0.4420663276457167,0.42880033768300496,0.6533174707334307,0.4285934371348728,0.5365005207599957,0.386118089471014,0.455403617598369,0.4954298644172106,0.4908005695405292,0.6513392306450816,0.49957183117137893,0.4696289959992955,0.5144972826639834,0.3795323013555715,0.35410375689007095,0.33096381137143355,0.35973302820858455,0.36288138737097886,0.39019394411972624,0.5022538623882702,0.5825240555931178,0.6178719759926503,0.4695032029142082,0.4960141801937423,0.4107122713335282,0.4516816033717901,0.3414838380462546,0.3447652068838774,0.40956781418130117,0.4773816086760465,0.3753485624434589,0.39045393402612066,0.41153743946363497,0.4313242837921413,0.43058113986109514,0.506315504997931,0.4997506475943161,0.5082551568592057,0.5964968531002788,0.7691499316323953,0.5199806733126818,0.4773149132254008,0.49286314957002075,0.7711844175851745,0.9023300432057593,0.6728063721457352,0.5790676819992008,0.5024783104229844,0.400068171586289,0.39171843027093295,0.3863314270282101,0.3334970174828378,0.38669193624374576,0.43315491547407986,0.5069133570089569,0.8614277022293598,1.400094067550219,1.1288115274431532,0.5439375812118481,0.40960097201045376,0.4152601200458553,0.3647127292122349,0.405080795284917,0.3574899558664521,0.389839680758937,0.45569155817492574,0.4805720707302775,0.5316994796529002,0.7173382787668297,0.6972292303229362,0.9758182797069331,1.1223721835004283,0.9279561562639423,0.6564035051886513,0.5272452422436179,0.49784492092955074,0.4574677563092878,0.39557836386212636,0.4122285516313787,0.434799085558711,0.5358703203626142,0.4411351677166021,0.42604352555871333,0.48296026030816486,0.41660430901090606,0.45430341525837,0.577541670579755,0.59641341203951,0.7357907226593967,0.8664107573286344,1.2132448604590595,2.059828296707949,1.4147066142064468,1.681785059909624,1.7591484685203522,1.4014074964376475,1.1015484304682173,0.7083994150350166,0.693565591996419,0.6142681117144291,0.5313008371043259,0.5352783050810436,0.4585702555265476,0.4599618673965573,0.4519709197315209,0.41960607019694995,0.4675190172025436,0.4967378934598808,0.4758251798494311,0.5120894662183357,0.5664725605281953,0.6237093030079618,0.5774742956527743,0.6118597948744083,0.7293400959550304,0.7680975430975405,0.7198387451796345,0.8419958723180081,0.8262842639656952,0.9501371738186727,0.906939590834514,0.7069730329501063,0.752026108185652,1.0075151307662367,1.4676376612191209,1.354153981460136,1.4802325423834461,0.7704369894341395,0.7005093504698294,0.7039757962919624,0.6408230156830059,0.8273286976880433,0.6238157658847683,0.7698273839657472,0.844154147097475,0.981841633718538,0.7469407283162051,0.7713655602556244,1.0861065466097746,0.8215076437178106,0.8664613811066886,0.5918191423467645,0.5068047864944193,0.49185840644682044,0.5441230067241798,0.6262134348338061,0.8004791972516823,0.6372388524961953,0.5614850882609763,0.6157318543282966,0.6778169509297762,0.5937014279908528,0.558781758750179,0.7458433466940028,0.8357261571110024,0.7119824907985591,0.7867404279373408,0.8982404822857026,1.0086913528711423,0.8174147633923885,0.8819948248846036,0.7932642681639098,0.7458166992591595,0.6279441939168737,0.6199583905517988,0.7306509460436803,0.62449346766701,0.6216642703025718,0.6917499962461298,0.7074627179452048,0.6147114319319315,0.702257157691244,0.924831488861966,0.7636876021068928,0.8326958533950009,0.903377334845586,1.1955226181150649,0.9867150117043572,0.8802162227621617,1.0635122714923808,1.0926787297410432,1.3876885016427658,0.8482500093551407,0.6822068145424575,0.5524879120455831,0.660084730824813,0.6784388582581931,0.8228041448997988,0.7529972025630088,0.6160338815765867,0.4912875510197786,0.46104016330419834,0.41078978239000374,0.3838076343968757,0.3742611756103669,0.37699284857224763,0.5809164645629995,0.3419239380617437,0.38284145967785,0.39793492669767655,0.33258434145816707,0.33728511068745354,0.5686397267651532,0.5370996396820682,0.6530606392257496,1.0057697780180472,1.4857605764605633],[0.5229826769205612,0.42754843353053634,0.42687421780760215,0.359842872675377,0.4594270301777465,0.381681029991653,0.3491100429057572,0.37960771913168456,0.39950079140744116,0.30905946665753786,0.3253955392431188,0.452657014164209,0.3130889961118483,0.3399136782273731,0.4002518311851274,0.3396307275023171,0.39424695722148184,0.42785204081854744,0.5798898882398464,0.5482729384851567,0.6221369005483138,0.72871644874633,0.8934044873589595,1.031362723530262,0.9097420108066238,0.7486248461285736,0.6030771370892928,0.4536485945918031,0.39087540929873416,0.36471510799543033,0.4203108937402507,0.3552864429017833,0.4616173987537616,0.41556962471713765,0.34121619726038016,0.40021145898620925,0.37442277068832347,0.4484548974902164,0.4468404857313924,0.4931644277841338,0.7734311866856851,0.6449014916481289,0.6187208084085889,0.7269516547461491,1.4239844467850489,1.8096092471630132,2.3722985913770525,1.0745031539633139,2.1013679817687003,2.2859382247497004,1.742718529444336,2.3274773331025296,2.3868951810666403,2.264482368985255,1.4790007428838476,1.0050389179849797,1.8500215550748804,0.7689204872442579,1.3523713632486218,1.5173462082205993,0.9333793587717353,0.6558907898574925,0.4943498884969689,0.7871372151298918,0.6751373210744998,0.5924948860034731,0.6730530524840654,0.5429859484098992,0.7233200553389986,0.7123182963053158,0.7693307346918937,1.0071223348822198,0.8347540891564758,0.8033714467451483,0.5203048183393361,1.1336834642963354,0.4646823766554051,0.44985037844196313,0.43758212023579246,0.4771210263936489,0.4160820822355635,0.5251367096606571,1.1762625814995828,0.47739137209636484,0.5622055855139324,0.4506834235306999,0.4514350307695759,0.4682701599632646,0.42281589102418216,0.4449834062964079,0.44773391721128625,0.6896232831309984,0.5453229751353471,0.4298917875793956,0.39935720363137234,0.5125921524165686,0.5276988226336848,0.4397146043606206,0.43929704444998846,0.6578859958345629,0.43235588525622964,0.5365888461281785,0.39476881457405394,0.4990238358211491,0.545008676888892,0.4997671163709261,0.6718800769791106,0.5211240626838177,0.509839193418528,0.5453391653756204,0.4016350503458246,0.3841800816485536,0.3553978705772397,0.4017721440688276,0.3672792673574993,0.4059400591496485,0.5190243921204397,0.5893916405648169,0.6064803103029703,0.45867169938775193,0.49087183051444677,0.39751523684244994,0.44219209990792263,0.34898756962012273,0.3749844705033999,0.46447027025311016,0.5527194458811456,0.41845111379402467,0.4406774134526576,0.44920790284150297,0.4865107398180463,0.5049448639069659,0.5373159519020537,0.5484257688901932,0.5223508839804466,0.5844986566926736,0.7746247633749853,0.533755760076117,0.49412824565617747,0.5096599670718385,0.7803221594606963,0.8969786653873385,0.6906083114507169,0.5983826245410141,0.5147705139269732,0.40690746254673654,0.40178063367584477,0.38625874405267246,0.353133484826324,0.3777277024199987,0.42269089066351395,0.49329838539606496,0.8811931026642064,1.375339694398926,1.1090777976208035,0.5477870723899638,0.405767162766379,0.41448033399862666,0.34516461835660384,0.43652837003619593,0.37671200095165613,0.39637569329283023,0.4673993856334975,0.484557239358894,0.5538942131561797,0.7558944662655621,0.712162197573303,0.9827144903498368,1.1271530213810343,0.9296175848437865,0.6735689774781571,0.5477179740350834,0.5187569743339346,0.4695263953615038,0.4025136331340303,0.42420339854871125,0.42015514169602125,0.5689288062796987,0.4384183938862904,0.4400288664768056,0.4949903518952948,0.4563225304318157,0.4915037667012152,0.5989443980836481,0.622244088791673,0.7346921244844729,0.8628140341276366,1.1940895362593456,2.0577816149681785,1.4189102271244507,1.6310270801231683,1.646220115439729,1.3483227742734976,1.0769223354213577,0.7083341658941873,0.7044039019331251,0.6614162902878802,0.5976679725861085,0.6096906367113091,0.5300678161469855,0.539911663831003,0.5055162787318043,0.4795361668819214,0.5307158755955559,0.5618674722494312,0.5360308905842509,0.5613106554042036,0.6227722070265129,0.6807961045065635,0.6209915065883542,0.6570128385263185,0.7826333258418436,0.8251008777477559,0.7460239627364031,0.8730272583876233,0.837939244115051,1.0047926217857135,0.9604440998531422,0.7568489428689342,0.8124897233645109,1.0577154178160262,1.4619090425129533,1.391129644589206,1.4999651982731168,0.845245432203308,0.775293033051415,0.7751743477724187,0.7272396383052898,0.9102793467418345,0.6993003736410142,0.8467619257933926,0.8814598452482186,1.0152644548263285,0.7981778816032196,0.8106904256348665,1.135259866278715,0.8563975683527054,0.8876535469035077,0.6425121449703559,0.5686474930202706,0.5644973109432999,0.6259409704099382,0.6741163008483498,0.8373122408752829,0.6669488016506655,0.6147018506990874,0.678331894945492,0.7275851246793846,0.6342745471764206,0.6151615103518467,0.7991425856388056,0.878666916295822,0.7498230094849663,0.8419606948688533,0.953264222331099,1.0680353570751977,0.8777468190010683,0.9637626511773174,0.8531761020395889,0.8126533267117702,0.6881545248899106,0.6976413495094169,0.817372646197056,0.684595439525417,0.6904851498791091,0.774339460516903,0.7813257167030563,0.6949578997551317,0.773654558793571,0.9820800535166909,0.8313713216076624,0.8822559121418975,0.9893147277249746,1.2776745211163014,1.0425411914642195,0.9516354585498762,1.1341622031343697,1.166253452034097,1.4605754725901485,0.8951136821211927,0.738014317811183,0.6046838156496908,0.7154611635509891,0.751976965939624,0.8875983311427645,0.8206033365737747,0.6940551009700385,0.5498964187542309,0.5205047506284377,0.4660554364354802,0.44015130143016035,0.40702829086349757,0.4253296308264941,0.5770118029650487,0.38670528328518433,0.4226161760691195,0.4514661075204154,0.3927647773665452,0.37589365781318224,0.6278937159340459,0.6205772593138228,0.6323428055536343,0.9095845519783708,1.3993803571636558],[0.4625083528408578,0.40315294451651407,0.4128388060403444,0.36300800781589093,0.47179585532486257,0.37506458244847746,0.35515609681385185,0.3954729847249286,0.4028629738357411,0.32620521095823846,0.34139319489317405,0.4642895549627267,0.3354076461513678,0.3564441981815312,0.3995622506006051,0.35509823954042896,0.3909650961316607,0.41579829393277123,0.5643297851459134,0.5262728247514147,0.5881160823134105,0.6997603288299649,0.8652167278695699,1.003116929067401,0.875670594160496,0.7177093301867402,0.578276593138034,0.45296861690006557,0.39268192510900357,0.37416963508590284,0.4260727905146023,0.36430109727578125,0.47051967263276484,0.41420570432851217,0.3478310554349412,0.40775603629659757,0.386747406742278,0.4416550198422931,0.4365623299441285,0.48262149234641244,0.7624636774510997,0.6073552549107123,0.5728895454812339,0.7132528234291354,1.394083105515892,1.774638073894287,2.288381264415646,1.0102089634121785,2.1041336891953453,2.2784570354947844,1.7076812187690324,2.3009929688137114,2.4081727274099483,2.3224007802953825,1.4961886262426554,1.0042839321845356,1.8394967035683198,0.7622535510653758,1.3733260046186957,1.4502204739735651,0.8875122144707653,0.6413159090651408,0.48089065991499114,0.7747697155766672,0.6421262473792138,0.5785806484978847,0.6407841333223816,0.5284993570570291,0.7108335593583238,0.7008447269274765,0.7773217492787754,1.0120048552721606,0.846823170765466,0.7801025987086874,0.5102709529334054,1.1320468807816235,0.4447240509880133,0.43697518135929786,0.4194697079750793,0.4621848051936563,0.43583937193939964,0.5345331754068592,1.1909459797777175,0.49322213994413233,0.563008989300318,0.4685406003660465,0.45245471935583903,0.4853803777064043,0.41084571266580944,0.4393304833664154,0.43838608745224167,0.6802963232572611,0.5289589104836296,0.4343819514705175,0.4075390632914438,0.5105276212592681,0.5332585348233178,0.44555294635448295,0.45065790220644253,0.6815257555460017,0.4484590101548395,0.5456621420562449,0.4089386992228903,0.5191148196963651,0.5548665097253694,0.5003744790248612,0.6875070696147892,0.4943305253243131,0.48932726814584526,0.5514590664816318,0.39064221978403146,0.388867036315418,0.3702166749278262,0.41433664699568556,0.3646246924393391,0.41794816828015025,0.5280948449193237,0.6008785763039721,0.5891940814970087,0.4736564419871551,0.5002383230895397,0.40722499429427755,0.45518189666080733,0.3696715491147067,0.3729189997833359,0.5018536872650602,0.6071602832957256,0.4226495767812534,0.4337776116108843,0.4494714740089707,0.47689842693705753,0.5014472904659495,0.5192627817191596,0.5462753588781255,0.5022954382191728,0.5619946365227529,0.7695823245006772,0.5099099065172072,0.4962536710587302,0.5017485400854151,0.7670308443117356,0.8479252081043105,0.674415938204026,0.5878572668153613,0.5149111656528852,0.40795014872872193,0.3971974379838288,0.3901654683208663,0.3739205330796858,0.40130047553828724,0.43466032950757266,0.4896210302399515,0.8803284194557085,1.3747250014843908,1.103056887158584,0.552600658056952,0.4273312390327666,0.4365063149105541,0.36389997336813223,0.47155395759675195,0.37729054982894966,0.4113815186410803,0.4529254840521787,0.4597085233492492,0.5191352363606394,0.7349768689146622,0.6711541123762705,0.9167405483038916,1.0741898004090826,0.9006430453254025,0.6439890824481077,0.5133946013704898,0.48688414353009307,0.454711998206174,0.40737863809128133,0.43687249249371574,0.4346648628817744,0.6080721033593642,0.43851882372770334,0.4488817356257887,0.4917284629528546,0.4646559117365207,0.47876397270625864,0.5711516318342139,0.6001497227810332,0.716422871224753,0.8574511265778492,1.1702349917368047,2.033181774628937,1.3920430950962104,1.543657698496407,1.5755594747796815,1.2910572731709036,1.044634265512207,0.6846423470951827,0.6878125190279634,0.6641192379920549,0.5879660972331785,0.5976475054890446,0.5230630817907816,0.522895894487404,0.49799496505504126,0.46550408608252125,0.5212581647177932,0.5492267269203979,0.5263101606616879,0.5655563735961118,0.5955971228996618,0.6600826676962418,0.6022173054099426,0.6264474010672094,0.752396233995172,0.7963186945901536,0.6993448571906715,0.8175117255716946,0.787777970289932,0.9230883905935603,0.9199034548506345,0.731783581012961,0.7669719278154097,1.015711522791675,1.5178875346336504,1.3550931514618203,1.471943308701475,0.7925206163340315,0.7300091966493235,0.7747067092042283,0.7050843040902218,0.8672090060319311,0.6744790034743545,0.8340352747995998,0.839050791587331,0.9943200888459097,0.77953446539293,0.7854647629477375,1.0787997009821395,0.8171190967248697,0.8677537066986251,0.6150901612312788,0.5471651748318608,0.5459920248191915,0.6341799547551129,0.6783062962281515,0.8322312105167631,0.6708059522889733,0.6183256978113811,0.6713770392588023,0.7344241643830358,0.6363773918760655,0.6040838839079464,0.7940897442707415,0.8716460999554331,0.7432535371107253,0.8202581114261978,0.9355429767882366,1.0340654560690137,0.850673460701028,0.9241366442056097,0.8185722447968313,0.7794522545321376,0.6641055798511213,0.6587922426400079,0.7627127350532089,0.6500288176383401,0.6565573068971432,0.7179058022225442,0.7283087235393766,0.6611009099907134,0.7171854336848266,0.9223009095745687,0.7849340250435736,0.8374257717082353,0.932555622810665,1.2261053224579705,0.9961626380620423,0.9267733083161142,1.0787535025131165,1.114257560230371,1.4506571916416966,0.8859417596768268,0.7159616762624131,0.5861594867829464,0.7593064609625527,0.7764468555088926,0.891572841820569,0.8461599632850113,0.7061224929647667,0.5505183681209689,0.5242415392103931,0.4789778248382878,0.43197859801986227,0.38024609402659537,0.40034788883938116,0.5614619306711158,0.36698790478984267,0.40269344584287076,0.42341686545337365,0.3840765643842435,0.34782077658215854,0.5829258667495872,0.6049003457905497,0.6124028902110454,0.8834650549115962,1.3589456556557515],[0.5291747245234089,0.500892627201715,0.4777259555367381,0.4331566280831386,0.5159660170359297,0.4431879806260824,0.43538078846259387,0.4693041378202862,0.4570990995685977,0.42618407713616896,0.4366037384913784,0.5368258666693748,0.4415595851716442,0.4647114759426116,0.5211891717988408,0.4787510249977961,0.4655654608521093,0.5362216625940829,0.6627304949616969,0.6067086578137246,0.6648211093982043,0.752103288223129,0.8904975462395731,1.0363426485451999,0.8715891450150307,0.7557526207210614,0.6353407225954841,0.5400071366413793,0.49742696353124666,0.4706102838807014,0.5469367188797297,0.4712667791906101,0.5730568295174382,0.5417632927085043,0.45903895969429404,0.5053461943629213,0.4536449558271775,0.5175493343040518,0.52287012485916,0.5388769668958993,0.8283834680545927,0.6656133987776903,0.6230626996966858,0.735879567370834,1.4129759399614905,1.7780098845885828,2.316440994165211,0.9712256281840203,2.0719792391418994,2.1497106355506723,1.6212010995050483,2.2061942650074844,2.3723324522329046,2.307528592735696,1.5207942888510322,0.986435555744963,1.8034052390541004,0.7762419699542396,1.3753494768798542,1.3560955513951833,0.904558801418906,0.6931488835358752,0.569230059326705,0.8879958720826474,0.7050936195517413,0.6442199621044954,0.7214676528465577,0.661974947110626,0.8452177276610651,0.8264383865505743,0.837737065205142,1.0897739050394026,0.923726835194554,0.8984265279202539,0.6348784334294483,1.217931377821637,0.5657202617935108,0.5818713825282676,0.5212266046739901,0.5367307037752141,0.5130444662561835,0.6209815972806886,1.3069516809889696,0.5690878600017617,0.5773149400439854,0.512180107601449,0.5095800618023862,0.5245879525844532,0.5118883078224905,0.5491247108771709,0.5678247315633953,0.7782102413525347,0.6333564422044679,0.5611534069126024,0.5352314346376775,0.6218246935078044,0.6241511743997911,0.5575750287850982,0.5449391189132029,0.7246658394166681,0.5097933910762826,0.5768471680472279,0.48801496446832987,0.5509117826831201,0.6037867864100461,0.5147087801407264,0.7471123257333431,0.48987513173993286,0.49987068270480844,0.6333816285201435,0.42154802403727143,0.4583159419750104,0.4575023500336716,0.5023210691722592,0.4587674475746263,0.5106834500275914,0.6184405418866599,0.6537914508348545,0.6353571828553831,0.5647976879015175,0.5766818880120325,0.5048267724968185,0.539458600506347,0.4746166950411837,0.4668236701670822,0.5764404472648804,0.7338876723239082,0.4746910841435704,0.4785018534942933,0.4991295911186835,0.4935468464588394,0.5510502645561106,0.5047494422287926,0.5909828412233575,0.481943694316405,0.5257888199873718,0.761730983451833,0.5134692891413811,0.5469157924951038,0.5367985129858577,0.8159193214165678,0.8797857299109987,0.7421897560174153,0.6445321727817077,0.553847702120364,0.4890954494377477,0.47836916778782906,0.4705514739268696,0.4601748167038375,0.47813872102683386,0.46420866088154794,0.5368003634482468,0.9771979186584426,1.3848621014985574,1.1020982736182303,0.5850019197636968,0.49242036761597835,0.47348032554904723,0.4428537530371388,0.5622930731166053,0.45748966060549723,0.48787732606159845,0.4801231785162276,0.4812969015027151,0.5194530124842248,0.7294619412523615,0.6266821733105731,0.8540449840957685,1.0055227683242536,0.8637571678534258,0.6091826948180982,0.4989933950773374,0.49045808956620024,0.4713091113421716,0.46530450470337537,0.5408798651143538,0.5283669217883432,0.7394802468449232,0.512777639852584,0.5130757708186633,0.5273966126812285,0.5152065719099221,0.5042035094387033,0.5512828653997631,0.5903607690870945,0.7270512523873615,0.9046125104646291,1.195757083568932,1.9744203733078165,1.3461093207461314,1.4251475134654084,1.5110474600225943,1.1895286500041162,0.9608483469137662,0.6228979660419875,0.6543671093739183,0.6597729173081444,0.5912829560900611,0.6214142320187795,0.5940149559726796,0.6014596774677357,0.6121645257062692,0.5584591637986792,0.5943214571735662,0.6632445213783975,0.6379307803281523,0.6340455462579141,0.6732469028738036,0.7629903881421616,0.681790812122312,0.7016857178482057,0.8139839619004012,0.8334476571075747,0.7432481963056992,0.8463420904672303,0.8268659653404482,0.9945067008039677,0.9781294053785737,0.8054731905067674,0.8564250162519134,1.0519328953393203,1.6826509080665768,1.392596726179329,1.4857355075675338,0.8535882681938471,0.816487819954168,0.8648846403648044,0.7970362650680304,0.9337995885785679,0.743438199805358,0.9118554520545511,0.8488254056183488,1.0117356417295793,0.8100229328191862,0.8185171667258725,1.0249280509125571,0.8105306994139128,0.8571157484250338,0.6301149901359959,0.6038285971295904,0.6317711746138301,0.7510736468170573,0.8121106325753696,0.9503026066914624,0.8012463438819654,0.7470173386383995,0.800585406245254,0.9100237807261977,0.769164433068829,0.740495160788122,0.9498041279632923,1.0114430470872324,0.8634156458816813,0.9437678100351911,1.0762725529543486,1.1351787373723357,0.9490249666741357,1.0300622018839716,0.9140230740313297,0.8866205684191132,0.7913628858460383,0.7815181438220471,0.8791209566294196,0.7440830719156275,0.7446195549798111,0.7957772100704841,0.8003799379543113,0.7158933820060793,0.7609247364331011,0.9460486051736291,0.8156306117232672,0.8313724585167207,0.9401747574132345,1.2348402672832508,0.9848819490320172,0.9374235737826696,1.090874470016557,1.1209779574346543,1.4978100580862201,0.9221109468003266,0.7609803236554477,0.6349611450793602,0.8205703877064885,0.8022206961142595,0.8928979161622301,0.8591366268734043,0.7410169761263563,0.59032002201641,0.5678999114041604,0.5383372432378777,0.5042063179122324,0.4427691799333228,0.4913466420592267,0.6670319212298002,0.41322152781700827,0.4846284436813876,0.5569840351416622,0.49701544997673397,0.4265897711511107,0.6372285538579119,0.7614624934932439,0.7390375507709982,0.9307654430191425,1.572940931313308],[0.6308411273713287,0.5955483641005151,0.5260268794659184,0.48778457537836817,0.5647242047191227,0.5182964812392477,0.49575414919767086,0.5350218873183522,0.485443478048176,0.4511448391450301,0.44441127630484295,0.5339782593606882,0.4564447797470453,0.472233036839558,0.5384672189731617,0.5026181410249839,0.49002890919852804,0.5460893768939137,0.6593322312011576,0.6076336312627801,0.6733481574436385,0.7604781953947458,0.8522396517956939,1.0238178131073625,0.8351104462598072,0.7425727492224046,0.6331725824549516,0.546387307156327,0.5140812302938624,0.492873273584423,0.5622356827601545,0.5094790370742275,0.6172562780204162,0.5847761724626197,0.49781849192296307,0.5111085073386982,0.4945588294338756,0.5347491057043644,0.5339146411471312,0.5491205550510798,0.845985691355095,0.6597861121145333,0.6148408836016084,0.7078389613993205,1.3741300958770968,1.7035464025810574,2.2559577111990503,0.8752834311056091,2.0633806333550893,2.0401590878521034,1.5434505591290992,2.132081153480903,2.3382806417615716,2.28348309752671,1.527329434324286,0.9695115952958266,1.7354920857250382,0.796392504065441,1.4221102731698323,1.2248380826990308,0.850810414993192,0.6514273483136358,0.5703183845803865,0.8760381892929336,0.6656968654530585,0.6186486865819592,0.7227469413919531,0.6677591073771313,0.8388765880283193,0.801129476111903,0.8520869890890109,1.1294649790364666,0.9675620996999043,0.9076417407492784,0.6227224415097106,1.2252691908213689,0.5546234010075444,0.5918954158142284,0.5309317875470674,0.5580982904697633,0.5339584821585066,0.6294405993147307,1.376359416576346,0.5905890398477359,0.5922155878318317,0.5373766956020083,0.5170986585311627,0.5415945338578665,0.524467574660778,0.582481747070941,0.572332954635512,0.778318275852216,0.6268435082956468,0.5850502724083941,0.5623326468905978,0.6450452076013504,0.6548780903147362,0.5820589965344025,0.5608517264795662,0.7200868663346851,0.5290207234062482,0.5901770266511163,0.5267533000924103,0.5697235950636417,0.6314582856748769,0.5662333262208764,0.801451590450557,0.5324167545299766,0.5506370964845887,0.6931150768346929,0.4808956521870671,0.5149560337845782,0.5106262934803744,0.5456248364141166,0.4896747242989636,0.5288984046103608,0.6161028145733531,0.6517843525002234,0.6479137337455594,0.5886908971829522,0.5721389310921372,0.5301895618706131,0.542391631164122,0.5046019232849998,0.5075437728390906,0.6210829189156423,0.8151821312427735,0.5182116595042943,0.5302756879893098,0.546373204216858,0.5460633657328142,0.6159595863583558,0.5177254880383136,0.6386890067868329,0.48350267111049794,0.4839242850271126,0.7504286358808819,0.5040207085121922,0.5639204439092845,0.5504560380409631,0.8184863303871861,0.8649665857263583,0.7378314103126057,0.6439765369944982,0.5558047466712842,0.5137638555572123,0.5002334320605928,0.49356868067785625,0.498268934111384,0.5218716601089833,0.514744929157096,0.5717617177107961,1.0590805064329722,1.3854209638427764,1.0894859908221208,0.6169541603982105,0.5084444099971809,0.5018885522730283,0.47199509694832287,0.6074304949685277,0.4888082252658697,0.5059591557516525,0.4904261632328428,0.4922147433094359,0.52797199122998,0.7206507299577104,0.5898107528745481,0.7960822985927818,0.9308936703165013,0.8296578595808087,0.5759386635442273,0.4917495018800858,0.5032828166718414,0.4746884242234886,0.49524030758560744,0.5997884063268066,0.5584049737094701,0.8131140067705368,0.5469836880993137,0.5623130997659674,0.5354276660869955,0.5478512504484065,0.5363538798524172,0.5635618699778737,0.5932918486610173,0.7521519305789577,0.9167042765850755,1.2265350115701348,1.9609764835981731,1.327880100619388,1.3436490755941728,1.446037204005911,1.1013346455540132,0.8873111646606644,0.6117883965267817,0.690594621720093,0.7108627078474925,0.6351377680912048,0.6829505517935701,0.6722701332083586,0.6721308784958565,0.6863533177137353,0.6369700223317286,0.661132308080748,0.7171198337703643,0.6988012603388956,0.6994147325000385,0.7102413704939613,0.7895630265878404,0.7188127507963323,0.7288029735980638,0.7987570949893026,0.8176723533540018,0.7602874035064823,0.8393190792867574,0.843925136605718,1.0014870441395958,0.9850993303717028,0.8139094346510445,0.8615173365000417,1.0393409531447793,1.8957285113299907,1.3775326206368645,1.4548458973731282,0.8405731570369913,0.8432734895810701,0.929754845777351,0.8549323814959091,0.947840236516871,0.7781027135870408,0.9663894418516983,0.8550308510171446,1.012212128338057,0.83087595738468,0.8797660416257169,0.9533610819260772,0.8236596098047295,0.8680584558723063,0.6764786785030215,0.6676811219861165,0.7129605415312871,0.8230738647352192,0.8973205577696834,1.0096317727798845,0.8686114699872163,0.8359641015605376,0.8579919791849535,1.0097542406723183,0.8257384533695746,0.7926600278149106,0.9895769614415443,1.0451790821425742,0.8949009046287649,0.9507932691597666,1.0840734924788082,1.0985968538045623,0.9341157957123759,1.0072503916420674,0.9010354251744401,0.8862618294073501,0.828397027316201,0.8128932684285437,0.883330923113383,0.7675946712137177,0.7632523327078844,0.7983701722496488,0.809431942798307,0.7528012644427049,0.7667745880183172,0.9225710244399034,0.8313256203813253,0.8248928147937827,0.9286808518450247,1.1999746112103402,1.0003897484898339,0.9749409802348331,1.0756449319242887,1.1239476083863758,1.4756627106067175,0.9626845669220252,0.7983586027430308,0.6906289363525063,0.8928692988740017,0.8510095968819641,0.9139787530085111,0.9066493758339444,0.794318295312899,0.6658316950866596,0.646372754532554,0.6142592649679226,0.600426885919151,0.5210797017768216,0.563351516370442,0.7654024705083637,0.4867693273470478,0.5531216507468776,0.6213010740573224,0.5840097976354474,0.479775440222394,0.6302508584923413,0.8296208670592645,0.79614732552144,0.9521093367971971,1.7083694463960672],[0.6729730677378537,0.660603492956777,0.6327786225161355,0.58150673013249,0.6281726376772749,0.609060148868773,0.579229420332747,0.5912923230310271,0.587345034367225,0.6072770030276409,0.6101482717339937,0.6786914947929693,0.5984657095997166,0.6379197578532954,0.7188869074148182,0.679037838236103,0.6867658279535198,0.7313065001016043,0.7990425807544844,0.7403035436672912,0.8256329642263288,0.8713158704239627,0.9550881179080505,1.0802181326076836,0.9627205283007286,0.854225691938375,0.7411294250416766,0.6656200559570128,0.6493715277045508,0.6303512029199737,0.7295341417367915,0.6940308138541927,0.789958925626035,0.7503990251301844,0.6671477674481052,0.6545143680227418,0.6266285889156479,0.6759163595148492,0.6443952961692142,0.6322477040348428,0.8385999075639664,0.7434918503943885,0.7319395037304268,0.7532961130645769,1.429242547359351,1.7638986581790603,2.223815747198001,0.9999739168184723,2.1989504597150913,2.236170390310255,1.7391514534633246,2.3787696463829615,2.507111027051988,2.4934596692023074,1.559061527696024,1.0924411227033257,1.9136482423799268,0.9414767056964698,1.4171227510120314,1.3212709845353399,1.0178256506670074,0.8121671109864672,0.7545118425336114,0.9981844207871515,0.8602150679300726,0.7633810909597787,0.9407240560703017,0.8098319253288628,0.9752408578292782,0.9440735129484922,1.0900008592738557,1.297287037104249,1.2277218985486962,1.0979401237819029,0.8631176513486035,1.40664295084941,0.7322718319097682,0.7448332399167591,0.681126259724204,0.7072631500635498,0.6619619818095787,0.6968437962710592,1.3380511612559933,0.698717093258701,0.7224938430865705,0.6259175723506819,0.6548349152670626,0.6788098660252172,0.6826488032160176,0.7389381530683996,0.7440324230356644,0.9679403239829906,0.8006225562090866,0.7873226103357474,0.7485843415153829,0.843330524880469,0.8413454481647344,0.7495389581630768,0.7127548013322361,0.8328770080701214,0.6772802239557099,0.6886965734227312,0.6329080477669327,0.6435052407071924,0.6935510495240872,0.6548764470795654,0.8733247253899556,0.6507725923865795,0.6660871679496,0.7447279632921445,0.5676175205653873,0.5757863567481332,0.592312957364622,0.6307968530350391,0.6236903884937309,0.6552950324917468,0.6943346873990699,0.7923393195577895,0.8530647608834562,0.7576723143376631,0.743198504039029,0.697153617114647,0.7097620219223568,0.6383663914320328,0.6001371671805665,0.6619363293218462,0.7940510762935189,0.5969292324193471,0.61272761298859,0.6236161544978259,0.6206907419497824,0.6638321084366223,0.6165389311848117,0.685346643577519,0.6101866580634338,0.6465753110302827,0.879905194694248,0.672434856715122,0.7445138096633338,0.7089191723724176,0.8999624029708991,0.9346235434809209,0.8208136641469835,0.7660807271159918,0.6966552191631883,0.6532118191234645,0.638537711732602,0.5953207610776513,0.5811811587834342,0.5864647905511075,0.5971110250618681,0.6406542910858027,1.0417155535273908,1.4106260088136695,1.133700383488411,0.6882380751226026,0.6291267643821025,0.5845198054580991,0.6083452362797892,0.6336283228832914,0.5807524176550645,0.6056021103998416,0.6571480541609436,0.6702221307341905,0.6834156952819084,0.8577084787326477,0.8079540455480433,1.0098028212339007,1.0939432456713096,1.0283031256927198,0.7656680760460851,0.6803221809008387,0.6610326630108765,0.5964272374018366,0.5945068350803068,0.6289324788503246,0.6415547477141799,0.8227425818975888,0.6380693468923148,0.6261145782594854,0.596967032983525,0.5979170508765198,0.6101678353058937,0.6550824991538003,0.6709994569079067,0.73977738047526,0.8512523738701739,1.1751883193627293,1.9763736960203073,1.4350193739726895,1.5486184909791856,1.4998695233765242,1.2386862030993204,1.0247634651028281,0.7184498557888447,0.7550455932837293,0.7759057642936327,0.7263375551655975,0.7445515206128777,0.7140139370891878,0.7672678127488062,0.785289828920161,0.7079954055801626,0.7531080070733183,0.840970071724024,0.8080301194722409,0.7759063612910673,0.8218481439657372,0.9267021034137322,0.8160865997623971,0.8403206315758911,0.9527068599452083,0.9500642300351149,0.8427095903853036,0.9729789002096232,0.9491107945420794,1.1417444921855553,1.0958360395785582,0.9603776607907336,1.0407328050757818,1.1789545052104384,1.7877530449323025,1.5591021613032068,1.6658765359420398,1.055567426822228,1.0341847608779586,1.0095206997594897,0.9658245569592793,1.0799187118607614,0.8864989273263555,1.0156790067846175,0.962276325039675,1.12464237052819,0.9265927552624467,0.9266252720221313,1.135456180882586,0.9231091494592284,0.9774994311868604,0.7813389916329424,0.7718732972391011,0.7832562153249109,0.9083930692908487,0.982776816089999,1.137793638552626,0.9561439862552065,0.9253489371556421,0.9929100462192364,1.1053228648063826,0.9291482344339472,0.8912342882677947,1.1099763949048387,1.1517295413781066,1.0041921966678724,1.1170678479154095,1.2466220790598626,1.2573689534493093,1.1190538408783424,1.2378431688465668,1.10712703804449,1.0914615635423377,0.9882137593665211,0.9922163671358624,1.080929309004612,0.9257174957873918,0.9282758780739666,0.97365126527694,0.9615789377529136,0.8548530401245558,0.9191187113553637,1.0782423475795644,0.9474197849106225,0.9390960113655702,1.051176145622496,1.3024001126453773,1.0653928869997173,1.045365910424836,1.2112313867212092,1.2253069276620427,1.6118190090849536,1.046304867149837,0.8817203789384556,0.7677846819234678,0.9778464486122463,0.9540746633972237,1.0295012250213544,0.9744507961556195,0.8741466922097637,0.7093745321198064,0.693986365883816,0.6503387375334134,0.6520726151478865,0.6207023291021961,0.6704458508987275,0.7770387543974531,0.5837335694749002,0.6594563598232556,0.7396073991628546,0.6531020776097644,0.6073503626510819,0.7878937091716426,0.9331443045386631,0.829400841035914,1.0235094400559446,1.662988838403878],[0.8715463614455647,0.8372243686200529,0.8313912067202457,0.7369910528297533,0.799630493515609,0.8533765331156907,0.8244191947969087,0.8785280572615755,0.8155740733355831,0.7468018112450947,0.7738352803951482,0.9046207245450723,0.7890531479037345,0.7567903867216587,0.8109254700189231,0.7996169847112415,0.7779470625402142,0.7978358356487981,0.83140529992418,0.8502208145405135,0.8613197560365751,0.9394472242429817,0.9972111630221383,1.1162163069196747,1.044245815813387,0.9268593253381332,0.868822590154913,0.8146204515797676,0.8010259589174934,0.8130011969398341,0.840941339019556,0.8451471976635199,0.9265850037712074,0.8758657934924328,0.826067196830311,0.8191519909633271,0.8231785535974406,0.8335215607738814,0.8248270547705016,0.8762959976458589,1.0523065045832594,0.880417294017554,0.8586392233426748,1.043981347368431,1.529679003326912,1.9079310637385731,2.2583344883334253,1.1920255234898622,2.3494808031067946,2.4568327963096586,1.791843301532412,2.435764662970034,2.5642602757294695,2.573984671700445,1.6713831454694912,1.2433421885496445,1.9363936697437256,1.077240110020153,1.6302215083700702,1.396984432085121,1.1142909246067108,0.9465573554717311,0.8643596746161485,1.0185903549237554,0.8891095482351403,0.8887277785328728,0.9261152938646998,0.8655805600750288,0.9856024064174307,0.9904804657030749,1.0056924033048884,1.2517621796681633,1.141285766128842,1.0145540778400892,0.8411105401750657,1.3425762588628551,0.8216417567440784,0.8657131288069931,0.8233000679734401,0.8731614371670425,0.8819722078404213,0.9308070647205842,1.558802361249811,0.9142234152272557,0.8694294870397152,0.8771779849705899,0.8279270078008255,0.8688809558078493,0.829315830252027,0.8648090361887326,0.8363312213010694,0.9729444595007183,0.8655293639313256,0.8672588788534332,0.8481447040477571,0.8862578040221057,0.9374946775486502,0.9060285137357654,0.9070161536435042,1.0922082105271365,0.9281419334310376,0.9444297876160133,0.9177144992416058,0.931840033167912,0.9762203293542864,0.8954139246544134,1.1346519072190846,0.9179438148229766,0.9218205186290488,1.017071236974245,0.8542050291730149,0.8476495566024355,0.8374829295276994,0.8393196979439187,0.7819123222660128,0.799837476704805,0.8770235134710676,0.8771883857458854,0.7895055171570277,0.7964394714177093,0.7656991076116935,0.7418932194098489,0.7392472506883003,0.7365196181463884,0.7750633973718845,0.8745166842283912,1.0702551757895213,0.830883945829921,0.8461642604038286,0.8819416839497712,0.8417816547392526,0.9226633087070882,0.837036028452467,0.9265693579956875,0.8123513104305942,0.8007649732137028,0.9562694423870598,0.7925311417474566,0.8134241462927704,0.7807075105084327,0.9358782867487627,0.9485968282295528,0.866256919912935,0.8419837493360145,0.8243397408762775,0.7917575296270558,0.7829129539676506,0.8079979751778016,0.8511534862818442,0.8591101110517635,0.8950410379236148,0.9377396612329418,1.2802864637186717,1.544025112641108,1.3088812566517334,0.9818800475728896,0.8952236594852082,0.8946434633740625,0.8625555583999964,0.944726095527015,0.8086639772807239,0.7887960021347109,0.7582021608141305,0.7704684748521756,0.8066497563113278,0.9149209415186725,0.8413436109305322,0.9913342199486405,1.0802648913667214,1.0019417720816157,0.824672493911627,0.7764568575316902,0.8123271369205635,0.7929955320065502,0.8151802268757338,0.93561212984038,0.8927715503212119,1.1771703042318362,0.8785766061296922,0.8771051591565278,0.833634209396572,0.8854406154373313,0.8704200343260379,0.8627241038660113,0.859938880034583,0.9566899594265532,1.1031476079568412,1.296643635647533,2.0652082287513145,1.5127816259032767,1.3821702375925884,1.4265673488475803,1.1966026598933412,1.0776120202119757,0.906968650018319,0.9428543072954795,0.9485771937095068,0.9017099162234711,0.9187738240253321,0.9434524615525642,0.9779328453185336,1.0299323892772987,0.9474881810770128,0.9331424144471357,1.043915933501216,1.0335787981561495,0.9281027383760817,0.9588485824392518,1.1128823117168452,1.0002849020454234,0.9709045182892856,1.0474908025257785,1.0973499886537625,0.9755449751761971,1.0181987373364094,1.0114153969149404,1.159850303186605,1.104101815772816,1.0129508092240218,1.0910724218136423,1.1999665673269428,1.8404364393393722,1.5545763619753117,1.630570068276186,1.1507368669384443,1.180803926969649,1.2183016366025434,1.143632282810565,1.2107879007030775,1.0333123120374457,1.1636150926619917,1.0654748174860522,1.1981467138601414,1.0405525694381004,1.0600136309023696,1.1684505609496385,1.0364034717301351,1.0516519315375215,0.9236246954870948,0.9646173679823135,1.0138919170515548,1.1237785168604966,1.2257314400327786,1.3645691463094725,1.243657586387822,1.1942132164461663,1.2492642168957042,1.3860934132978229,1.2233525641785044,1.157947327965665,1.352072145087445,1.399920682303152,1.2369141757977271,1.3077341478220703,1.4372441184526765,1.45512144496561,1.262049455748355,1.361785722867473,1.2217765483123337,1.2296253474423273,1.1775317614177006,1.157282153731191,1.184032750589065,1.0629275382910468,1.0686229532881761,1.0662610039899663,1.044360373579532,0.9808721684773423,1.0084737342350156,1.0856611830218763,1.0103483799534179,1.0181341617122759,1.1039188039545678,1.328571297600707,1.1182849574447904,1.095592386843875,1.24514660133857,1.2455990642095236,1.5719270861180918,1.092307904398009,0.9480483243444464,0.9076926756928344,1.0802251093791388,1.0347417179665541,1.0512814581778658,1.0456977636449794,0.9627967088865294,0.8895618311865914,0.8914671326486017,0.8501119053303026,0.8732430495467721,0.9113690215574208,0.9873970642855712,1.0771500722370313,0.8824976605468394,0.9602060618110982,1.096120618283083,0.9727742000025361,0.8768221633189982,1.1504415981865659,1.3308513993909217,1.1646384427977035,1.3508261450962722,1.8276127357228908],[0.7528808965678927,0.731520327345183,0.7150862335030524,0.587720010756307,0.656677099671893,0.6608904681051064,0.6405075474011019,0.6851569529932682,0.6410586512674091,0.5705562309202348,0.5999227159690006,0.7255043561713687,0.6135973881642406,0.6074444977706251,0.6445326293687594,0.6368334770446022,0.5902735360912134,0.6294030716205714,0.6924806326469155,0.6835278319643493,0.7026223629013336,0.8067496462156373,0.8922703335505567,1.0335234267118425,0.9237721004109329,0.7948849746210754,0.7016909043969028,0.6390337549937749,0.6299377715078236,0.6534154875697444,0.6601453646320563,0.678607410000526,0.7632450741247555,0.7203074045202248,0.6673581410387447,0.6609594472887933,0.6724272627350717,0.6542796798102549,0.6543832103791428,0.6882441445860934,0.9285121236077668,0.7418567772563991,0.7072721585040308,0.8634904380795853,1.4195779901945071,1.8335940490331626,2.2677564692523777,1.0648308070273487,2.1388825426127713,2.304724553817071,1.6877851776674817,2.3046063037337614,2.5249869066841386,2.4756954306232073,1.6155369318656112,1.1320366955231271,1.8551354463092997,0.8992754016356515,1.5153788167700584,1.350959766685267,0.9520325869080601,0.7746019734431563,0.6769513078317665,0.8719302426136277,0.7555768795782521,0.7280566137529586,0.7455813792250503,0.7219518426840976,0.8703569463222176,0.8620864536302434,0.8450594138902472,1.1066434137404237,0.9531269804100745,0.8799824390456675,0.6540404468919049,1.1651499014191382,0.652301764724908,0.7032826340687076,0.6712043353180536,0.700529547583133,0.7128640843723644,0.7771096390432801,1.3907113890913843,0.7442062578251387,0.7073748068348891,0.696830566967155,0.6605265085245521,0.7394241266834848,0.6658612664724014,0.7257764122985338,0.6969252171469583,0.8332048141537618,0.7090381454762302,0.6966284925120506,0.6855623936314342,0.7323169587913363,0.7732281838973168,0.7403202982966752,0.7424816878523143,0.9254210518796726,0.7326180777038721,0.7981747521874322,0.749076140699118,0.8038906575071563,0.8740647606499813,0.7240509846270737,0.9569327571110369,0.7415866710183888,0.74258907936338,0.8448990090895422,0.6653530916464883,0.6663805800560948,0.6515997317886358,0.6490703168464462,0.6043528333430364,0.6292838168020408,0.7226538790123919,0.7767969710930303,0.6547553146225736,0.6458890546452589,0.6388950605964913,0.5894638495672591,0.6042155906593384,0.5805820733943072,0.595538657946646,0.6956861335265344,0.8802595094027339,0.6446395096123201,0.6861841185796292,0.7108439979338628,0.6858680481017789,0.765220205890531,0.6853369372971387,0.7647662267897549,0.65291113585392,0.6685152705748573,0.8393178525667037,0.6323009836312389,0.6613814742703138,0.6391901894408352,0.8551044406109788,0.9224832641811944,0.7725058999438215,0.6831194762941407,0.6442023756745844,0.6139562320085898,0.6086421327361861,0.6310830192445971,0.6632086551413554,0.6750420214663563,0.7268980038449575,0.7644035236381748,1.1600912317519587,1.4810088572028088,1.2210341064003563,0.8197277196111197,0.721238699679322,0.7296359646659191,0.680399856933331,0.7612606683466546,0.6309000986494425,0.6330160728194543,0.5916963238944632,0.6013375460570402,0.624809124535681,0.8034907863253002,0.692512738612051,0.9234713075740751,1.0470106231220888,0.9139815162187572,0.6836936256848067,0.6209851552501163,0.6207055782282589,0.6425156783643836,0.652677542590507,0.7683508580161418,0.710671377814883,0.9429721472941458,0.7119081483424451,0.711635018261994,0.717710965260384,0.7340726002663087,0.7226549295149944,0.7249636789593547,0.7254684359292295,0.8375677764757588,1.0072425980522002,1.2451088350345532,2.072545878287419,1.4698079781170366,1.384342610061507,1.4227923954809065,1.1750658650664108,1.0170775240662946,0.7703516673447909,0.8023380137036017,0.7911291507768775,0.7802643307789875,0.8040222073306217,0.7872437419597034,0.8332218680709776,0.8614994755737859,0.7818687776345893,0.8000867116019325,0.9022822622556975,0.8906798767392033,0.8022806502953309,0.8590625289665549,1.0038366588163072,0.8888359019812698,0.8758395503751741,1.0123508774170913,1.0656552234425356,0.8960917842719089,0.9639862145009396,0.9393306608917908,1.1213065487531668,1.086057448820103,0.9574818003925191,1.0298693767000378,1.1741539865962807,1.6568659961557692,1.5905412214934451,1.6797616192199865,1.0856964135357745,1.08392955713211,1.0841272041860444,1.0165439742623226,1.1298269855386072,0.9473599878870143,1.0707495641792781,0.9977888084421034,1.144287226126786,0.989308488353022,0.9528422863528547,1.1918803045149313,0.9738676620124385,1.0053456747440237,0.8410988010844405,0.8189198585626465,0.8684725155702884,0.9794839644216534,1.0495290045570917,1.1962282791575842,1.0480049750430005,1.0014295760192158,1.0671902052007152,1.1653928613637552,1.0391893202229487,0.9931275184603054,1.1930981063207071,1.2355412188732262,1.1024625974960292,1.1944681716681975,1.324934236798737,1.3703717396425086,1.2011689075012617,1.3124771775091193,1.1665551534320422,1.152076690746559,1.0503229575326465,1.047213462731827,1.1146462806065232,0.9694330310614693,0.9702757731230155,0.9950884848394334,0.9751122855495141,0.8965399308457414,0.9495028154700302,1.0634172374251678,0.9515965799609127,0.9826957350492233,1.0528330487427844,1.2906409069248854,1.0763638221648952,1.055588255334186,1.1839145134242002,1.216846722515834,1.571220776918195,1.0006573088125121,0.8694769405262316,0.7580705943113393,0.9131269155394057,0.8895164002863681,0.9489570561572312,0.9226446026038867,0.8551678239107642,0.7393353235735599,0.7478381536004133,0.6974906837808539,0.722695507693497,0.7247779083053483,0.8090876187415738,0.8783917824917697,0.6886958193028201,0.7858560314909875,0.8807032972355983,0.7702253161985219,0.7074747167385855,1.0085899402561944,1.1000984147976105,0.9475040111827026,1.0462401016952534,1.6024645709880727],[0.9240545383573058,0.8848019950838105,0.8816779648516315,0.6932042052404709,0.7659174413816519,0.7712967324897216,0.7338964919231374,0.7909911655071347,0.7216313188682018,0.627871862150911,0.6579565090601817,0.7976818550500604,0.6727351873749717,0.6692547715899159,0.6998442554093348,0.7013243518577309,0.6513340702454099,0.6572123695426489,0.6888744258825646,0.7060982451824602,0.6995119757579998,0.8038602177980693,0.9105117608704877,1.0169135695764042,0.9762723097623593,0.8123314824164458,0.7255283103050123,0.6814344495137289,0.6791170596800731,0.7193026170167476,0.7031508981463328,0.750039219909116,0.839182169497418,0.7711381184647388,0.7306952159767213,0.7159660813491814,0.7475044795139527,0.7105956701727861,0.7022037994335449,0.7627969581894259,0.9468588493425588,0.7711073811055004,0.7480946757293812,0.9246429532524783,1.475715294296423,1.9207713043170427,2.313421289766383,1.2032886538417715,2.2262952442837327,2.4911838937613338,1.8030761149574361,2.4182796994918707,2.5684692987056104,2.521221038433699,1.63624636697023,1.192474111160604,1.9099097016235813,0.9538649905661001,1.567970174467764,1.4437743742468738,1.0007731935999105,0.8087557989107081,0.7036249180534644,0.8696697311887833,0.7838488544880345,0.7544379014125313,0.7546664548103146,0.718951872476615,0.8471894758118094,0.8615659881805818,0.8640231127405608,1.0927925329180723,0.9703119193072852,0.8766333140284851,0.6875545146783187,1.2062560746602295,0.679667017067564,0.7314654978367982,0.7130877019420386,0.7529533047134758,0.7933712619910956,0.8442809407365486,1.4121552284398518,0.8568749426596735,0.7925781899901276,0.7759003841779971,0.7145118952163433,0.8115307384803413,0.7158747926969339,0.7742774522425684,0.7264874185691005,0.8638987656262063,0.7405835942542466,0.7487886275492579,0.7368092823373464,0.7607816969680812,0.8184943232835223,0.8078915779538138,0.8292379390626622,1.0433991827359417,0.8466875192533451,0.9522801205467654,0.8683974055627404,0.9486331847747616,1.0080686271737833,0.8555845201646379,1.0761472733022759,0.9142689040888932,0.9161371327812434,0.978434992638208,0.8387262146978839,0.7816419024461637,0.7520296930355042,0.7213855631239287,0.6534992978378258,0.6609413181872722,0.7489947809394151,0.7841514648874489,0.6645549889994039,0.6634042597341206,0.654834063456852,0.6049450930823157,0.6111118798393081,0.6078519819339621,0.6486044603330946,0.7622537475325449,0.9465350350154605,0.7608495521350026,0.8327901393103676,0.8535397942723988,0.8402346848184344,0.919113032326529,0.8434226503664699,0.9015547767766964,0.7950894347627824,0.7959986324841288,0.9208476108056879,0.7078716855432516,0.691418270729757,0.669350017302934,0.8494920940391354,0.9239988184128834,0.7788081210369233,0.7099639259778482,0.6945683669087711,0.6619485394407402,0.658052564712706,0.6996274385534845,0.7626826145471797,0.7678330913869842,0.8583589807123995,0.8669404632698796,1.1919505151028664,1.5778245895355654,1.3187551877685422,0.9330121577448868,0.8394141181906393,0.8613798960895551,0.7894272850260541,0.8807493263547543,0.7349538680918589,0.7115375898445676,0.6522520737164166,0.6826720413815056,0.7090698020639381,0.8387643276731894,0.7879578867850093,0.9920058582426345,1.1216392136644917,0.962333814677533,0.7710054135644241,0.7086436928693053,0.7253774865385417,0.7518029109215135,0.7571676333216877,0.8706028431353685,0.81219330836493,1.0154510382934747,0.8194388365433045,0.8513588831014418,0.815152520547521,0.8567837252038858,0.8625735858885264,0.868289898660122,0.8456490517884157,0.9042501293893116,1.03662248639514,1.2119865249089998,2.112182379716615,1.4918224002878695,1.4340433383469406,1.487700904446873,1.2799829463533994,1.1438966793430863,0.9128780192707765,0.9277113680489422,0.9040601309751239,0.9467460645952498,0.9710952329159946,0.953413861493587,1.027000539608267,1.0449652309062927,0.9590404428117467,0.9886510182817313,1.0993868263796003,1.0774453761706895,0.9758963353048075,1.0619480967620742,1.20996947260755,1.0862352677448806,1.0845662089885453,1.250297351805397,1.2810455980393103,1.1147388540346037,1.1855818084240264,1.1410471385382026,1.3170514063828267,1.2740687281267022,1.1589314625898748,1.2344678115537342,1.3570681414059325,1.7022558268899766,1.7746403066343983,1.8600366125269556,1.3058031349056312,1.299790894540177,1.253252336351332,1.1971715361588808,1.3249206065044916,1.1531559486275138,1.2371650449028766,1.2047387877645734,1.3273866389858837,1.1842271738599954,1.117290937859737,1.4001265680524815,1.1415000943688733,1.1518218321124511,1.0351160887273287,1.0121588201938954,1.0627664003804491,1.1608964439499465,1.211359221088715,1.3227817088426226,1.1909275099579413,1.1671830233620242,1.2342435272879728,1.3028740193575932,1.192560646973001,1.1688815199206595,1.3455561813204493,1.3703773549880927,1.2753248681192089,1.384707569003623,1.4977378754867892,1.541736124839989,1.4073827938008916,1.5166611269463128,1.3874469874727668,1.369878949074533,1.2484831498908555,1.2593163358638222,1.3222164687398963,1.1863113349041519,1.1823102812329522,1.2110802247812569,1.1842152135836022,1.0959603813574395,1.165292048538705,1.2603384046778943,1.1375553539375562,1.16343859829948,1.2300911973298534,1.4034951607835533,1.224943632344579,1.2093760223498053,1.3130313254997998,1.3295019158842063,1.7222815327753545,1.121766772460794,1.0443889239369788,0.9366051082762175,1.037084838403125,1.0207085429745977,1.0682878001445315,1.045308882497199,1.003407240369666,0.8811137580910793,0.9053986419866785,0.830229064253262,0.8877226126716825,0.913133421640051,1.0079355147864828,1.0237981489131542,0.8743735140388664,0.9871681328601338,1.0323418682341623,0.8923512516750985,0.8859358537158812,1.1473307186526929,1.1755352643732864,1.0300722543874852,1.1213444344958339,1.5958674453084667],[0.7859330281001253,0.7300287316817383,0.7254065785214588,0.60720352956753,0.6821040006062935,0.7193080424094689,0.711329208339575,0.782136899652209,0.7387380776980869,0.6723224181911254,0.7106110551226714,0.8093677691266382,0.7140680586316666,0.7167998658493221,0.7575448084701631,0.7294464986766107,0.6832911354252849,0.7060690593908795,0.7560504529219154,0.7703460944051115,0.768186071310203,0.8846723618153155,0.9749075187515903,1.098060408742217,1.0317530852241263,0.8845794816260993,0.7989566154835057,0.7247019760155103,0.7082054677030835,0.7283561203188008,0.742536613096156,0.7321420813621312,0.8168043452576638,0.7771295642364365,0.7186094970384138,0.7353208842959063,0.7241555829984998,0.7274931371070653,0.7141197363446644,0.7403617773185649,0.9872741989294505,0.8276813821614697,0.7863886539077758,0.9505968521414392,1.4854684730134389,1.87372360462397,2.316496865955727,1.1534729856283759,2.1775283689230607,2.3929417775989705,1.6759268606073368,2.265599005501493,2.4110553469601976,2.327364339567666,1.624959441996677,1.119895254083759,1.785017651878893,0.9258497698089524,1.6169211147706308,1.4007038323892196,0.9220426148311457,0.7921082994180327,0.7194576510972955,0.9219530345784331,0.8279975111645302,0.7924950944189684,0.7873659507015183,0.7712746945660809,0.9106366540994274,0.9165530455821455,0.8817348104284752,1.1148503531791298,0.960139123018734,0.9098869882755743,0.7627525704864305,1.191086832408263,0.7349749583351664,0.7808126837938848,0.7477826873781699,0.7668438758708385,0.7706621056042299,0.82109012268671,1.5050677106497365,0.7757216942812764,0.7320297189412796,0.7532627202892236,0.7280379293483378,0.7721201413275404,0.7407444772955663,0.771588896561731,0.763107816051411,0.8771224020990955,0.7874343739156626,0.7721650665553791,0.7653146543493471,0.8028943602538754,0.8285756620454983,0.8263942932184362,0.8292664239753198,0.9790285073692863,0.8011348869534272,0.8343116377948803,0.7895141293940371,0.8607946552147293,0.9336177557781474,0.7295920768534276,0.9502483692368171,0.7072857719420462,0.7161020916611612,0.8546103875438782,0.6839173667058523,0.7096579249351955,0.7199343949398053,0.7073214864519529,0.6695493630882102,0.6953566671220488,0.8061509845657614,0.7912877946388761,0.7154899976092483,0.7262260871396171,0.724763300062938,0.6757587224253767,0.6693493417246021,0.638117451355036,0.6630676569819589,0.7570656000772417,0.9524648170775605,0.661945795190484,0.6663553924223549,0.7073644189879157,0.6453992226776848,0.7357493318105768,0.6546823843287388,0.7538670580226331,0.6102431031577301,0.632488127869253,0.7931874266914445,0.6060761353811511,0.634979675349721,0.6399777358106595,0.8643203272046401,0.922348197849693,0.8038014357733044,0.737420526062853,0.7183501699786132,0.6821622395992875,0.6728766584598577,0.710625173458286,0.7283954626895836,0.7475755097749899,0.7824271065067088,0.8285402607820156,1.1820882257281136,1.5204232859106024,1.2652879603649136,0.8766510877135968,0.794723731509574,0.7869961506540663,0.7522708966016658,0.8296444824064471,0.6681959550713618,0.6813351278106212,0.6054827964429853,0.6148338266536908,0.6100291910684881,0.7892371151568972,0.6508596858309397,0.8804006984671205,1.0166317581104205,0.8626907500476065,0.6415288925988858,0.5785440384190194,0.5959650658483735,0.6228000677736257,0.6795920672758083,0.8218022459082338,0.7717827455627081,1.0302079331526963,0.741720727477376,0.750206102407693,0.7039745046454489,0.7528723286413449,0.7148401527293635,0.7109843150016634,0.7205266980717261,0.8337772332517761,1.0166737897686802,1.1995771476448835,2.0988421831234874,1.4512488235762375,1.3721169671849673,1.4110260378195747,1.1785169540147773,1.000912172513054,0.7293730118210778,0.7703335663287472,0.748983015897372,0.722974122517324,0.7495628625643165,0.7690089662979898,0.7815809366502233,0.8319633379998792,0.7623234794813687,0.7465092454923911,0.8494093836147396,0.8641442077299883,0.7603169486863156,0.8041900519019477,0.9832663413560256,0.8997784337512327,0.8497869963174112,1.0064603461930786,1.100095061151407,0.9034519383829749,0.9559985916700163,0.8652369527269824,1.0959490476647222,0.9860148808954173,0.8609994544709624,0.9343132926174268,1.1501223285599846,1.611579018561573,1.4944312525050882,1.5166219795642646,0.9739874591829542,0.9580222982803241,1.0122589511137619,0.9240694761013702,1.0259993396153235,0.8663992166909562,1.0328912508074954,0.9535556741495902,1.0897225429324104,0.9308944020264057,0.8890833430124083,1.1292581187730522,0.8818072054255538,0.932942976491968,0.7584689983610415,0.7493371049342715,0.8130846852752798,0.9330135754837063,1.019761235306482,1.126525811073306,1.0100729389314411,0.9562800121791974,1.022407647250208,1.131925777173898,1.0293712405473368,0.9788026105489462,1.1817172216095175,1.2420458714692475,1.1130410267338449,1.168104515834323,1.3167683921391524,1.405816796356831,1.186075790147701,1.2697162006207299,1.111165805776303,1.085631948489991,0.9933710613065956,0.9573198628833188,1.0193008324080386,0.8982747850976627,0.8832399351377359,0.8985131432424002,0.8822605312458168,0.8076179087237815,0.8482271443592178,0.9829996323226535,0.855315926336561,0.8993764126465037,0.9815052229875206,1.2595357954314497,1.0099159154854063,0.9720858213439562,1.1222582638731406,1.162076088933462,1.5323607805100574,0.9330238702997196,0.7996506047393211,0.7279144447779357,0.8579846859843028,0.8507715672808065,0.9184214204314548,0.8924966691684905,0.8020437393431796,0.6931550289447785,0.705573239887339,0.6835027723912268,0.7100765245086336,0.7264199239409505,0.8359204595300003,0.9397161984888299,0.7173195160719367,0.8239642710342487,0.95248796887734,0.8541456709480781,0.7911287805482238,1.136016725962091,1.211119441711152,1.0586055600112867,1.0829047652783894,1.597744796347901],[0.8560763687922446,0.7915996639420281,0.8006399664901849,0.6569686818439658,0.732904222740856,0.6990571365937467,0.6805142071426369,0.7273711430660597,0.664072866089072,0.5950642518742337,0.6106487968256283,0.720252393923853,0.6381290945270155,0.6127747469144144,0.6435893441258617,0.624991233602944,0.6206684184194153,0.6137663367077598,0.6912377512604704,0.710677614413168,0.740773839284581,0.8685702348548348,0.9780167949448422,1.108354033113514,1.0621893510059182,0.8824186528299414,0.7756049806748322,0.6733202860556333,0.6368291042845758,0.6407313827012183,0.6231305375693588,0.6379089964026943,0.6970058967900523,0.6473097619937582,0.6132628931430772,0.6529261393403183,0.647550100613387,0.650149927301383,0.6688668362586959,0.7140038448943379,0.9665016319387015,0.8116867590120487,0.7696683005469516,0.9446129301273328,1.491748115492536,1.8961361790163924,2.3190297185358046,1.2078162573242273,2.178253911413664,2.5081035006222456,1.7626709420731324,2.3655456116503055,2.4798646355600256,2.380250272333725,1.6589936066612598,1.1845932141018973,1.8449381045318987,0.938216653872844,1.5914059009629704,1.4812697827376078,0.9409931953029619,0.7912074326014871,0.6634349126780639,0.8620483932870919,0.8019764629468383,0.7496341673864733,0.7472477896953873,0.6743286548814275,0.8138384721421611,0.8386722717995693,0.8510637040947873,1.0647983973066235,0.9059246649818131,0.8633814202877242,0.6686286522146389,1.112154486072021,0.6426060412123086,0.6532222282561115,0.6584785548408841,0.7064106744790581,0.702038103404237,0.757378783099517,1.347918123459583,0.7318379667871545,0.7227439558799788,0.7080932624602861,0.6893826396517794,0.7385111773266417,0.6591369732361563,0.65898499764287,0.6530658268620133,0.794352232707728,0.6713543919029851,0.630717489782188,0.6272163700605446,0.6578040889469361,0.6968269034865486,0.6965149688510491,0.7026593957657972,0.8970603544495869,0.726757828619488,0.8149385224212273,0.7382539809473585,0.8184206176491112,0.9333386480750835,0.7535614602422095,0.9573010550593835,0.7689649028438076,0.772656038650195,0.8727925855106513,0.7179824866103408,0.7051498776904788,0.6801511841435813,0.6814215177940958,0.6160741141274381,0.6568970740271901,0.7599643593743833,0.7747063281832292,0.6996197572686683,0.642487111339719,0.6463983967465252,0.6066949338201648,0.6236174148801775,0.5837127899401179,0.622989381229324,0.731618066516306,0.8742181583131617,0.6877912630983518,0.7165246714574407,0.7432650800351701,0.728768009123446,0.7933113339328893,0.7430372739638851,0.7775443156240343,0.6958213982911097,0.7312052589672324,0.8461619317046173,0.6674401166236484,0.6641534160145129,0.6548944599735778,0.8626300116036011,0.9215895433628619,0.7632718950912931,0.7227292613936578,0.7126943291605841,0.6485492867740443,0.6466773869557882,0.6770616267238053,0.6851914654541935,0.6980118274076214,0.7501722887444597,0.7693461785805211,1.078604670774146,1.5229412213635523,1.2361873165411439,0.8287751973808203,0.7254656539528092,0.7498917889510085,0.6902100061745801,0.7915725716738092,0.6638314498748086,0.6644500143082555,0.6410712495675878,0.6505171167549101,0.6529357273785947,0.8403166778398041,0.7430932718196499,0.9601063158306165,1.099993050725741,0.9290165419400277,0.7441718763647825,0.6531391297843515,0.6681383264813131,0.6688142436012451,0.6804510335732273,0.7752026971455014,0.732341952967235,0.9445947583627937,0.7109230873786209,0.7398252713400981,0.7185417715177967,0.763456800314109,0.754869108993315,0.7698965586714418,0.7605754482810241,0.8316348016126183,0.9768928636081089,1.2090832205673638,2.148453103944138,1.508040305716595,1.4590219827694118,1.4276901723230602,1.2606677764921723,1.0936454751228601,0.8420913492121563,0.8615983644699108,0.8233634931354346,0.8070752238231123,0.8372757514487723,0.8299869326138745,0.8469481402923563,0.8662748750856076,0.8173956655021427,0.8287283434237908,0.9012107057866449,0.9130915300423983,0.844556608487648,0.9062796556783312,1.0439893508979625,0.9802283239586747,0.961585949242794,1.111853902610145,1.1934087656852974,1.0444110492776526,1.1131825595161724,1.0062041616885824,1.2355152099339706,1.0610221229549301,0.9463608853920573,1.0356847853239755,1.261381814221569,1.563703604188267,1.5969134509829768,1.610050060012795,1.065261301804812,1.0341279627228668,1.0335943969227885,0.9863316850494362,1.0970354411728014,0.9520054202962648,1.0926021153790975,1.062558279335204,1.2041130134340505,1.0328826939432696,0.9596063570079183,1.2538990239355898,0.9693571350786798,0.996883067334564,0.8552356896346409,0.806759906800063,0.8704768240274793,0.9594664225726116,1.0206209342548194,1.1139828504674365,1.0115417603900865,0.9673440849705066,1.0424045788615774,1.0683186482212106,0.997797497764407,0.9933273009916599,1.1490132139074656,1.199823677203014,1.1059546270701137,1.1765565757724548,1.2978690841474685,1.3933203493547168,1.2326162033960917,1.3070824092270015,1.181809096140311,1.1531401244060433,1.0456376666945832,1.0227388046749646,1.0946848569748273,0.9845950286618834,0.9723589584110673,1.000127669273665,0.9864865648956889,0.9047701060880711,0.9612117074408194,1.0785317143046136,0.9444159668513558,1.0005514708668173,1.0756981606588738,1.3104478775811372,1.0823608909852152,1.0356876896421428,1.1717029911507697,1.2001629833804865,1.5252701005198532,0.9854240920123347,0.9067228266032554,0.8499050019620844,0.900711794051868,0.911327518795545,0.9603623972647521,0.9421047325590566,0.856514268666304,0.7733218957298845,0.7812097399839636,0.7297451459157203,0.7782143843215273,0.7840006505421794,0.8578009285100964,0.8787577856064732,0.7510371234094249,0.8325165960319116,0.8971127533735501,0.7910824827727526,0.7938293717897533,1.0773251228051763,1.0650308222117961,0.9289623013697329,1.0112989391590548,1.4470251321198215],[0.793999086916777,0.7339780653645342,0.7478478818638079,0.584793318486491,0.670916850800175,0.5989613017343043,0.5701529305626987,0.6066588374509507,0.5524412126057121,0.47440509713931023,0.48792674948816234,0.5993326114141377,0.5122873928865267,0.49418618216024435,0.5272800902367425,0.5095570402745402,0.5068138893307931,0.4893693353926518,0.608554359973005,0.6069756284089851,0.6710542013450719,0.8025964323936964,0.933090941013061,1.071839680407769,1.0175555171561887,0.8144905915125517,0.6922874023281818,0.5713066787305663,0.5189115866955679,0.5158479582632675,0.4947543220295599,0.5244766502952295,0.5774993475052618,0.5267171314299322,0.4891337583242374,0.5214869795581147,0.547097334931144,0.5513867553614001,0.5694815066963992,0.6335259923378014,0.9053233809378378,0.7337397794258409,0.6961431002941788,0.8753476050237596,1.4522576934041989,1.866526404997124,2.2837242786931102,1.1989818703109976,2.165186739732243,2.5433354330840534,1.7818810828578873,2.3941485709432784,2.4585517170624804,2.348018375132661,1.6167915043749426,1.1438435914320537,1.8339899504915365,0.8861015913608918,1.5405034958689008,1.5201125380211071,0.9148115225526715,0.7451982083579184,0.5911394117157249,0.7853638573233267,0.746355170212803,0.6796319759967221,0.6803859331230393,0.5504580996841135,0.7089332969974578,0.7429803610242294,0.8269187381068616,1.0338509014042492,0.8640274293059623,0.820383259447107,0.5783291220139547,1.0784131388016336,0.5315465970156028,0.5290220815944106,0.5478953193286307,0.5949232711953258,0.5841845460054569,0.6581079216405924,1.2637232316012639,0.6545766367240095,0.671075990977827,0.6103330068785418,0.6013900610157036,0.6443710700598737,0.5305510174693704,0.5574974663885419,0.5152810297617391,0.7096294894484779,0.5745042623136637,0.5121257168820214,0.5071458283669262,0.5641897482765946,0.6051422626002207,0.5604851239486885,0.5660675021806326,0.779314600821918,0.607042295265314,0.733439218808343,0.6357302007838399,0.7337502968491463,0.8551034734736154,0.7083601917733459,0.8879692466711141,0.7387167614321883,0.7362498056770017,0.7937707375593752,0.6474932498368728,0.6148998009935351,0.575291574268261,0.580090733605437,0.4989807983947528,0.5519741290833874,0.6585477972343098,0.708605108682519,0.6506772760668209,0.5282718527004365,0.5442875553631152,0.498532044845914,0.5318112871146427,0.47047494886852037,0.5116970323010815,0.6371406998979317,0.7656766636204042,0.6236940938530839,0.6680113942052166,0.6815062084723669,0.701956401635406,0.7550268083645859,0.7194929234004669,0.7336976700922212,0.6674802528532291,0.7003731888592084,0.8298079127430896,0.6261027000613413,0.5971844194152448,0.5830431646682002,0.8096666948139364,0.8843435137736744,0.6986279620961449,0.652955897475718,0.6431403471842091,0.5436424723207135,0.5426108490938701,0.5711394282735818,0.575470679415788,0.594624844028254,0.657953233462851,0.6726218023722008,0.9760526795389711,1.4699943910328717,1.156807686094502,0.7200414460472271,0.6013333367846871,0.6529186951144738,0.5712489688738445,0.6887322216332814,0.5787161687591145,0.5796969733758416,0.5823919176083957,0.5960683425529328,0.6197841174956272,0.8173243064312388,0.7362634312328598,0.96835703414561,1.1141318656646588,0.9201245604779712,0.728089936008389,0.6211773031603,0.6345324059982501,0.6197393134860358,0.6049469161317272,0.6710449377614756,0.6304259749654053,0.8151384361409929,0.6333091624425219,0.6646750199717572,0.6610566680952442,0.6921503016047352,0.7104164945706211,0.7449409278217084,0.739929465279469,0.7991395669198614,0.9151881982907003,1.20338620266839,2.1506922103682866,1.5123201032430944,1.5123946775299886,1.449702736667365,1.2938864255537024,1.1061639423659846,0.840424085115529,0.8772241508384074,0.8219882092018563,0.8063196452565564,0.8317932584582798,0.7907352507806554,0.8244011527777031,0.8077975037016432,0.7665878980633348,0.8085640107517105,0.8606139898654814,0.8565010398755061,0.8266666810804738,0.9047988109977877,0.9998120930120031,0.9490739683512807,0.9587031422265279,1.101730140590451,1.1632092570361858,1.0458183809850992,1.1586923322924927,1.0629874000943302,1.2717529826006089,1.1006093257398273,0.9612752345281443,1.057227950123065,1.3101981414922317,1.5487802124590866,1.5840326585101951,1.590797348090016,1.0698778864422487,1.0216577114688588,1.0170614367924409,0.9883795428953033,1.1106195092291018,0.9566916704886644,1.077540675662259,1.0965042799677822,1.2221472493540813,1.0360821347590061,0.976223128927641,1.2967535704758208,0.9928114988751362,1.0214144893982142,0.8666734535361857,0.7816511622665008,0.8451783457539582,0.9226076946760967,0.9565461657727519,1.0549154198719175,0.9391656716229176,0.9069770781128736,0.9915243043242128,0.9658414848914159,0.9031397100447579,0.918188426102859,1.0516004399999757,1.0958323788185247,1.0297235768390252,1.1084266495883726,1.1955402697773292,1.305050863525958,1.1741124355064605,1.2431730435978106,1.1390725420955405,1.1070570411468912,1.003019208342779,0.9959852576334668,1.077894396090888,0.9801550221434034,0.9672320292691053,1.0116260986074876,1.0061427433704522,0.9255738219350613,0.9850964352885875,1.107535719913242,0.9679518176570842,1.0397135940204194,1.1142905125277796,1.3423692893291084,1.1340112892665752,1.0682578410165169,1.1970524325825342,1.222485964476074,1.516456697110072,1.021620219654857,0.9358637968737742,0.8602172095097343,0.8793919487189694,0.9030183664470343,0.9696584306197913,0.9322879161551715,0.8664669828542124,0.7573348866121756,0.7580798924626284,0.6843182633669586,0.7212909325371493,0.7222879633566952,0.7852559790377289,0.7645810464122288,0.6733435716236189,0.7490479010354483,0.7656572088969168,0.661686700496218,0.687872308173045,0.9351846976324917,0.878464700033416,0.781989036828561,0.8854713368114709,1.3432045254852942],[0.6673049991122088,0.5836308506498114,0.6075698546788247,0.456144392229339,0.5542803893456303,0.4817905120423516,0.449166876155989,0.4786661561419483,0.4855469285014547,0.3967371457800805,0.4187166340335845,0.5325680254349892,0.41555885214571137,0.4461332948832256,0.4730930268444072,0.4390351525679116,0.4379226848152131,0.4318273596218964,0.568420670991044,0.5559841609194537,0.6556865942794468,0.7868960835505132,0.9387504102666452,1.0765174933604553,0.9894931235299488,0.7769316445223649,0.6331900539614342,0.5020741135283647,0.4354742983054905,0.42511251220504614,0.4319317016781702,0.44201792330149975,0.49358247552085444,0.45551996729046496,0.40054177130071217,0.4304711760157941,0.4467978185247623,0.4874300566559041,0.4749529110123373,0.5516618375178276,0.8408285399840157,0.6606058471929065,0.6375160909549226,0.7927936932822804,1.4011907850513396,1.8399896880876399,2.2799463574039383,1.2047258657476934,2.146171498605518,2.564421199320735,1.7972328511438231,2.43275778602894,2.41894140495159,2.2912604638118887,1.5737875467299673,1.1106219346834838,1.84577538516313,0.8555276914695418,1.4917407469903958,1.6143260915708486,0.9243291262388872,0.7043924430437691,0.5460262987624429,0.7392171380550254,0.7250550736337786,0.6417915577018078,0.6628608062636334,0.49568656904444175,0.6543851246403152,0.7203799536773383,0.8208557765825085,1.0285439920731987,0.8273322891666717,0.8013987938538407,0.53466945218596,1.0690665593013746,0.47460664912246003,0.4675608716663164,0.47361246777849675,0.5236269757960285,0.48205164651890914,0.5569449946254631,1.1721773413737844,0.5741956238481887,0.5930514778116136,0.5022643439555828,0.5113181296644593,0.555556111137165,0.44722431178704314,0.4917135214354332,0.4503860242183185,0.6761755500064984,0.547680005006715,0.4533578206195718,0.44836575790811384,0.5382101524668207,0.575321202213575,0.48442172753811935,0.48740635807524635,0.6975546297120252,0.5110710637131776,0.640306503380562,0.5144600259585389,0.6158157736572412,0.7389915369658228,0.6023722908417001,0.775105047712469,0.6428802505993958,0.6241418114131722,0.6628282433292505,0.5151625639980459,0.4832189105310888,0.44922325949292813,0.46943638647950725,0.4023623849643468,0.4693965691359832,0.5870155649507491,0.6646254424873387,0.6137007120681929,0.47537931335018596,0.5019599475662222,0.4430760473523001,0.4803397439884898,0.38362745666186043,0.41473980056177834,0.5193466696314619,0.6273135235023812,0.5003388448656281,0.5437295083055423,0.5491038762037452,0.5972904221149874,0.6443728064111697,0.6329269467274156,0.620642063481456,0.5736074852429086,0.6285322607809479,0.7600848081413963,0.5582633014318286,0.5187019808281057,0.5157301455671802,0.780117280509806,0.8932994844365405,0.6692521541073628,0.5913468166737322,0.5862759824555264,0.4493479462134883,0.4447667895572713,0.4624731970063341,0.45139178383963086,0.4795992596798153,0.541283853519715,0.5724752982620557,0.8737184277807037,1.4127309503290764,1.1011707335587038,0.6080394576108333,0.4932755191966024,0.5358483498746044,0.45557026485478086,0.5510360188404211,0.44758538539482756,0.4670408762682097,0.48595472424848024,0.5081065969720153,0.575224570015525,0.7848652924247059,0.7070785224714088,0.98202948621833,1.124231434387881,0.9019036763985672,0.6722683545404096,0.5630902628044057,0.5580802842775372,0.5239299868408168,0.4837823448583348,0.530843088565275,0.509392712146991,0.6428976291254036,0.5338749375097622,0.5381379699164522,0.5727237788335264,0.5656453162503531,0.6052178480063266,0.6631902135895281,0.6758866837603337,0.747312819212773,0.8618782753334641,1.2189287195279597,2.1419329359823975,1.5028946065721867,1.585337502716587,1.5053097383400964,1.3297540427968721,1.102404630552962,0.797591050268898,0.8375204795018066,0.7502899266030945,0.7425588296209495,0.7500586468979532,0.672912086789164,0.7260089442327986,0.6924148852598846,0.6412262498564409,0.7098588155899005,0.7593993724437463,0.7352103609243889,0.7259540310525584,0.8282430824644578,0.9126886414992073,0.8603935797617563,0.8959305385754763,1.0506446939268625,1.0884390029292363,0.9979447288283477,1.1672384177557082,1.0449692433036664,1.265433169747508,1.0872823399095999,0.933433014013058,1.0408003621488666,1.3061778974747564,1.5110466156434803,1.5613159855156522,1.582519217325415,1.0582856761754986,0.9818397848930995,0.9423160158681628,0.9515141249703238,1.089637098814959,0.9130358259339241,1.031947303967806,1.1054729346777887,1.1867949127587074,0.9887914818813617,0.9451783110084572,1.3172334995626023,0.9851560228476257,1.003686771305911,0.8121252869239566,0.695750286603225,0.7529116054965391,0.8304692169399859,0.8511111759464874,0.9397144845418851,0.796084754432921,0.7716750780937266,0.8936875060991439,0.8472247162271678,0.7799200367076857,0.7897324807437807,0.9323436929260717,0.9689821873862303,0.9174012362855539,1.0260702565232964,1.0943447218163274,1.2119522065609187,1.0957459599174921,1.180112943911205,1.076359709995127,1.036977219920041,0.9172241762923742,0.9295366500501726,1.030959535168368,0.9197438304792102,0.8998227214132433,0.9789585786674337,0.9774760683899153,0.8799064389116009,0.9670331548765388,1.12957614901001,0.9483089667702391,1.0196371609101622,1.1157902777166646,1.3263979950690732,1.1213421648005872,1.0258769377194457,1.1898548490695178,1.2049278384314637,1.4946067761242554,0.9670617298568154,0.8560183260424743,0.7822925444204059,0.7769669052899831,0.820407736059755,0.9237362691754298,0.8704686567122111,0.7920786701656924,0.6670267994225643,0.6489246370579533,0.5571761707228072,0.5829907938048372,0.581258237773228,0.6456327889261653,0.6166701210212707,0.5314191465104006,0.6185045745379446,0.6258204423015093,0.5084909130353896,0.5396742317605914,0.8199567680464592,0.7228767569227846,0.6661782170070236,0.8067084726395071,1.2686313583473732],[0.7117698414893959,0.6091626855184148,0.6522432877949992,0.4574885528879568,0.5803646585782664,0.48454094839270195,0.43543940299481704,0.4508190471408898,0.4500094817977791,0.34542469219639543,0.3506467863142671,0.49106246553372723,0.36483840351596497,0.40159293439401883,0.4247092158869292,0.3844875535397511,0.4239422872441128,0.4492153886277209,0.5864134187329781,0.5791039545300231,0.669389459445548,0.799603364572376,0.9896924024442899,1.1136297496041496,1.0146471907472945,0.7891035970903554,0.6424613054069325,0.5221752650871411,0.4552719496342144,0.40427310243090564,0.3996451712388555,0.42512469344469805,0.45547719465882,0.44084255656384824,0.3948672616458361,0.43743691601854484,0.44250525870146407,0.5180867729450878,0.495265539171234,0.5864757118583599,0.8675057811457465,0.6775936661694787,0.6628997059868125,0.8171614414064051,1.3999223761110247,1.87028820888559,2.303710655506565,1.2960798678467853,2.1551610092630167,2.6616391375771498,1.8458460379207913,2.459769658910524,2.3973945307963445,2.253556892316872,1.5875010002608003,1.1369970551069948,1.8741146317054864,0.8660648814378586,1.4771395559676097,1.732489515361592,0.9366333240037985,0.7156193065255961,0.5603692104079978,0.7272491271437674,0.7337978703964668,0.6372018974289508,0.6425505679465779,0.5180383445717512,0.6678919587902157,0.7438072290905051,0.8042241206514307,1.045198779026852,0.7786151880854848,0.8316597596406636,0.5376826422548088,1.008938929364994,0.4952250348059018,0.45850233073186153,0.484080081386133,0.5554854686843591,0.5055429272841365,0.5816279262929607,1.1724329603987191,0.6365516731220563,0.6284105927534571,0.5308982085690107,0.5144756674655853,0.55201154019795,0.46178974627489366,0.49563845225572917,0.45438661678116193,0.632843775537884,0.5242568855907024,0.41246841597520323,0.4073440690672386,0.49543228405063344,0.5062076631857841,0.45007507444293576,0.46081560529425936,0.6665820298835741,0.489406702958379,0.636974290200884,0.5227754804635579,0.6363477537157556,0.7813637148246955,0.6660528301424317,0.8367474610878218,0.7279614559036052,0.6979217253645544,0.7073256099234692,0.5770648079388727,0.5256794621840589,0.4561495747039673,0.4822528096959532,0.3918688743420363,0.48334507080138817,0.6122158619120723,0.6807686441525205,0.6295164744691453,0.4926012553878585,0.5418289804545966,0.45947093757910745,0.5071263444626949,0.40220688440621216,0.4008125070976869,0.5221191680379148,0.6370266515884534,0.5457313573739496,0.59103132500644,0.5979781769595509,0.6715026514289842,0.7333966121223964,0.7213220434922638,0.6807041932574849,0.6336560245440096,0.673644308530272,0.7737154717256405,0.5946697365621592,0.5290448975189912,0.5343368789332064,0.7731315818548481,0.9206975816190167,0.694876607406197,0.6045807604481089,0.6071288804083799,0.4587828800522427,0.4653882649231577,0.45474975768399317,0.46300018240085977,0.4754454926391344,0.5678259904384076,0.5607517880780828,0.851295971512641,1.3617323841241533,1.0618266871343771,0.5790517659592477,0.4862385427188682,0.5453042992411707,0.4554740234602692,0.5666057751538539,0.4759140205878059,0.4951866439591854,0.5064519344618991,0.5254068511103501,0.625290654532079,0.825267615078672,0.7481284389836071,1.0160679500530674,1.1584857483031143,0.8992480746018562,0.702811465881316,0.6002802201086394,0.5884761542713574,0.5646562340968997,0.5174788129513933,0.5526045534466683,0.5196298619902019,0.6304756057347194,0.5676709097992785,0.5855623154712608,0.6242854768249441,0.5979234200908639,0.6683937425306171,0.7371266835963803,0.7391098857441925,0.8053925258870989,0.8951416760482498,1.3026244362180122,2.198844706418419,1.5400571396480787,1.6318932926190644,1.537596045263837,1.3736628922126795,1.156263922138965,0.880273239921193,0.9261653994741127,0.8301154100716566,0.8607111428037347,0.8633688147139069,0.7746462546629512,0.8567714827919688,0.8146795178211551,0.744760131736239,0.8471247152059087,0.9041597386730049,0.840112930660305,0.8405995726522484,0.970833306176665,1.0275365620996424,0.9733151050096529,1.0361304883496747,1.1717351810376504,1.160741162565506,1.1185715563388139,1.3130423555463935,1.1936218670820338,1.3877021944694925,1.2446391818952938,1.11726142230635,1.2132666935181864,1.462019219630984,1.6666959087404836,1.704621784776733,1.6973010798853891,1.2450145501774583,1.1516972061885042,1.0712449852886654,1.128305385472132,1.2677486424489945,1.0862567210628837,1.1748055576061505,1.3064301128715659,1.3327624681945627,1.1346563345366312,1.0990874767712433,1.4518413624635527,1.1353097022611054,1.1183707816640904,0.9537086543706584,0.847620360219881,0.8940463276971597,0.9632050314656451,0.9559351074027387,1.0184194619110245,0.8586413709178381,0.8517439254625616,0.9928328116455134,0.9283916979889706,0.861499479132099,0.8827586975815267,1.0126465108549332,1.0111918847309616,0.9859437645373469,1.1183513045494708,1.1545451410056544,1.261204081389995,1.1859475553363794,1.2872829844654863,1.2007536487732293,1.1661434925363379,1.0444023880728852,1.0864195567504837,1.1907571210576728,1.0771266201840812,1.0564954900664996,1.1607474267313058,1.155068497737318,1.0473407197594025,1.1554274601482433,1.3027712871940242,1.117541494677111,1.1632431600005126,1.2868449767484809,1.4451700999637533,1.2646080542778078,1.1588273821255577,1.307012652176154,1.3078106075611777,1.5681205407072478,1.077282537011771,0.9809184848920101,0.9176519349224089,0.8769735245154179,0.9082797070377643,1.008985874641717,0.9480540403985913,0.9051215704095176,0.7703300284886907,0.7455522806465184,0.6161407453741711,0.6456310247300951,0.651538814924424,0.7353530941371034,0.6678158737749469,0.5855693869897791,0.7117274792154206,0.6820676240327027,0.5287265040328255,0.5769138679635718,0.8391510995732201,0.7120883701848589,0.6663371739741238,0.777167367013664,1.2675811733704085],[0.7775513955629852,0.6679061321711882,0.6787942286517482,0.4861541166416983,0.584620369919243,0.5204966509858557,0.4965767027384682,0.50252821434135,0.5325124176868902,0.5135545346246296,0.5218674197314276,0.5859186595409224,0.512701498147051,0.6204651527057077,0.6103300218971818,0.5680594194998406,0.6386209086472265,0.6885062946497331,0.8268765328271974,0.7809937227311439,0.8805084655593013,0.9575184991665909,1.1305541938399382,1.2438259264716283,1.1361258627799742,0.9628363368498973,0.805318839590333,0.7220314508531932,0.6591017932729785,0.5642086741858975,0.6000576001234027,0.5535620499066441,0.5599483128696978,0.5975653230088909,0.553513802041178,0.6155661991271533,0.5638694338668027,0.6454264174691944,0.6300587353619019,0.6871386926064476,0.9526629132034825,0.8186701253988308,0.7886422153492807,0.9475715476294035,1.4411705015985403,1.973275948391806,2.344156302935852,1.4185644557808303,2.241853318462667,2.7530666072999534,1.897111978318716,2.5255043385200957,2.4485244153902963,2.329567349372315,1.5979791243138364,1.2138096119720276,1.9547373443765446,0.9057092826209985,1.5115436447648614,1.828995921132684,1.069693379962406,0.9251549453182731,0.7745314866168916,0.8996504549008283,0.9308338243967748,0.8409538499473687,0.8168355912809593,0.7628807120374896,0.9221754016816244,0.9947828700726815,0.9341625665474128,1.1609621632457698,0.883514633202054,1.054539481738079,0.7417678955699738,1.0796591769807926,0.7214040760437808,0.6611674665772584,0.6618324022832032,0.6894318496880503,0.6229449189265965,0.6882274029351532,1.189315104989418,0.6647895291484544,0.6611193550319866,0.6219992188830972,0.6441522336564216,0.6513760704583724,0.6394787646428199,0.6647093681085108,0.6645282079549556,0.7898127042422775,0.6921481388834748,0.5920668617044444,0.5826128632155446,0.6222215836653956,0.6305098029427856,0.5806683314599829,0.5568556007137978,0.7044015525009438,0.566435869795731,0.6848163746505419,0.5739917678206993,0.6586848227079117,0.7467818788533427,0.6552974115894669,0.7601541368858222,0.6975122047594621,0.6654997959108732,0.6660292944487155,0.5662457707777012,0.5338573285432535,0.5156217134520372,0.5742552445694323,0.5545593446147685,0.6735787793515692,0.8170366784444518,0.9535330114950752,0.862579469379487,0.7422997889582063,0.8227279298861484,0.707757728772853,0.7638786511080221,0.6259603756159816,0.5430099600824461,0.6055075705044785,0.640291497013214,0.5539243235337321,0.5782211627345081,0.5751837619455941,0.6383329432681852,0.6864629054219328,0.6667900464014275,0.6404878100420565,0.5990431943851198,0.6748377255797963,0.7300609810341896,0.6406333687539717,0.6756895445203634,0.6685381125985134,0.9695914767699366,1.0963677665599518,0.8524062062358168,0.7497311379480569,0.7311182861595888,0.6070919774581863,0.6146880807661719,0.5618506474475806,0.5374204242102822,0.5431718079908608,0.5941162724168101,0.6004449519339806,0.8392419690047346,1.3234586355797482,1.0776414054430403,0.6164733151290367,0.5528271614472808,0.5822477807682852,0.5306941114959682,0.5852969181555342,0.5295940538378027,0.585890131402704,0.6070495728325013,0.6039743654445172,0.6740193365956939,0.8654559802250139,0.7239663462582515,0.9727259772515603,1.0997825298406172,0.8863191216049232,0.6774000441363773,0.6310935581215387,0.6095724243958945,0.5902333355061308,0.5577687354392357,0.5826295762155637,0.5964742929920942,0.6619719519439098,0.6163316019338436,0.5975383056537709,0.630218600475417,0.5868833046266274,0.6374823709084354,0.7036644368215315,0.7071010361456181,0.8085340663024132,0.943001035144865,1.3288326086119289,2.251603050864408,1.538040188655364,1.553597350589887,1.4682391290824328,1.3085482985955228,1.09171604788758,0.8210061314870569,0.8845994749873924,0.7796121888374172,0.8197074071768766,0.8416443900609064,0.7459432129734851,0.8494815877198804,0.7943849331535252,0.7220712012439806,0.8405074918998556,0.9143451092811345,0.85239564433886,0.8672287854018088,1.0068738870501683,1.0569427634865178,1.0121482385598797,1.1025966089607284,1.241010758045406,1.2143673662292263,1.2232805857280635,1.4366323647440815,1.3823591088206402,1.423195824334524,1.356281291914593,1.1838914853311506,1.2799838788247913,1.532160284200823,1.6454549762406057,1.6213710722707673,1.5554880851215918,1.2662611751353146,1.178217059980597,1.1030205390638368,1.128535462791761,1.299376798109597,1.094050041699374,1.11798710015406,1.2330668186510252,1.274375280933882,1.076790157279216,1.0756951894778226,1.4526648044452637,1.1483713140579064,1.1003151315114843,0.937787848648735,0.8109035612249973,0.8800561941110525,0.9361880442036362,0.9266092694903522,1.0271570679384892,0.9050975243947735,0.8871538658344751,0.9747718200885584,0.8856446159314533,0.8351115359617663,0.8907442236470672,0.9909366711883314,0.999491224856917,1.00345525566532,1.132756569449601,1.1524169716335317,1.2388788054010165,1.221796110646335,1.3135286359494733,1.2467867087959745,1.1957576022534255,1.050275485279855,1.0995797928345132,1.2166211894027372,1.121285095851063,1.090953127140759,1.1912984696412519,1.1961635060536793,1.0697040412292058,1.15807077814761,1.3396433225115871,1.1603416062992773,1.2141097439478363,1.303628043343779,1.491183305901916,1.286840853938275,1.1768238737884742,1.3485919925855154,1.3140028993846324,1.6417235682746822,1.1968214622700695,1.0756644272570297,1.0023013571067458,0.9450749516672883,0.9239472069269522,1.017777081847183,0.9170970333340395,0.910894596024035,0.7357828419029552,0.7158580888460765,0.5968803645988928,0.6453176434689245,0.6441599898479686,0.7259066648888355,0.6657012764111788,0.5929820059300213,0.7022457969535866,0.6694126855503757,0.5515545837360929,0.5956112171548703,0.7890340121363286,0.6692763844623251,0.6762460099971478,0.8248132386019604,1.3396559705413498],[0.7489773243657268,0.6731756226551219,0.6979229041845403,0.47778475497639045,0.5899382634496415,0.5586613514850017,0.46928413372633965,0.506871626941795,0.4993349100968219,0.37469262818347787,0.3694010866938344,0.5100385552959048,0.3733047089208085,0.406950274067689,0.44816196278139525,0.40180322943877217,0.4332493927557713,0.4510118626943239,0.6056366767336353,0.5986449146733114,0.7083773941394972,0.8340073980916911,1.0123678960479539,1.128178609112087,1.0237565731764766,0.7989767105365441,0.6379865911808316,0.5192151633589729,0.4529241069059229,0.40513914938496354,0.41422440510418534,0.4478931300133058,0.48231594624579227,0.4568128615713279,0.4112317346280617,0.44886844524308744,0.4507517815414515,0.5157765129323121,0.49653899449214217,0.6028232164808434,0.8703997885910054,0.6882827779534864,0.6951433068393452,0.8470704081003384,1.4313905377025555,1.8649265936964758,2.3169047943036314,1.3147766238430616,2.129917177292872,2.6327306214708535,1.85126118541847,2.429740456398499,2.3540770972739877,2.184223361908384,1.5904495076123983,1.1038304603537428,1.86690547456271,0.9190541706377712,1.4721208245412745,1.8228767069704608,0.9830475621294228,0.7373135525469088,0.5971327513579917,0.7426402314742678,0.772178579248931,0.6687764287108121,0.6617216848084313,0.5366041205403351,0.6753764313577384,0.7771073415363259,0.8231231510864743,1.0679205223488084,0.7653969238198174,0.8763180774250563,0.5632639526935236,1.0367299687281464,0.5291386389301207,0.48872942915320666,0.4982708470145649,0.5912211754529969,0.4947460048114968,0.5784797028310634,1.0890300126205605,0.6250385309326273,0.6248819661386931,0.5267219316900721,0.5053772418297364,0.56342305739899,0.47624226075524917,0.48968853147968644,0.47703209342569985,0.6584826494916132,0.547193644838676,0.4249563875358518,0.4178170472292329,0.5205389165545663,0.5303344242520882,0.4653247923948061,0.47693874951196774,0.6879947343847675,0.5215884194571155,0.6373226538732971,0.5105046361230894,0.6449650798796601,0.7433203617367535,0.682383041929095,0.7585610443313743,0.7402058723998728,0.6817632903273323,0.6342730317437456,0.5727205076609738,0.4978493002866262,0.4546123211917533,0.45048178484171675,0.39206419561304523,0.45360792376167325,0.5854390370611676,0.6775333336151048,0.6624064744096807,0.4939713412670364,0.5607505346363633,0.44234773862203275,0.4857403261887567,0.36540926968807397,0.3740580593486905,0.4828697115732296,0.583921916376529,0.5325420520759314,0.5897889256879515,0.5807363201091128,0.6433032198541627,0.6817960866195663,0.6983146877807228,0.659778156705424,0.6326083224861921,0.6680825597827192,0.7412449851085022,0.5743641979070049,0.4860685737699096,0.4975370600271811,0.7653467673224718,0.9336368902095648,0.6959785275765292,0.5950696884012802,0.597839081368841,0.46005200708403016,0.45869190556261175,0.4349978321740609,0.4404124412731699,0.46887171299348424,0.5664781596275343,0.5842397361374907,0.7940288388666931,1.3197141374181542,1.092062930809476,0.6109167053537232,0.5081599790017388,0.5466011549036004,0.45366628858357866,0.5206370777482481,0.4695568296254404,0.4947580680249465,0.5147808832163299,0.5521928519523698,0.6236453286947573,0.8286992739446972,0.7515565130230687,1.0277021309094403,1.1669535564539053,0.8972366033050938,0.7017180224695533,0.5956972510358118,0.5933627151388645,0.5623164120471187,0.5188835559047017,0.5224243967978072,0.5125971672909956,0.5516572241377949,0.5661419283438928,0.5704468977666081,0.6250313749360875,0.5701015908419697,0.6488315873547315,0.7451780868395133,0.7202867675218729,0.7823651583519661,0.8984166277657047,1.3070069503187305,2.193383706608634,1.552551797202585,1.7028794252168022,1.6156494108093382,1.427935040270248,1.1780579005642469,0.8835241515251485,0.911633738511775,0.8001379325120878,0.8170973321149617,0.83092772145004,0.7301354959198065,0.8097684991035722,0.7616536408259459,0.7064898731669876,0.797804106368135,0.8474902896637292,0.8208608728146237,0.8445165303059865,0.9391143632701778,0.9836958245670281,0.9769347416378427,1.0456194115278645,1.1503800214342548,1.1595689825170838,1.183622708676694,1.346066952482047,1.2901916735649337,1.3052086485894605,1.217835954657641,1.0778308793696394,1.1501569793333164,1.3859855039668152,1.522908230310324,1.5216816197625123,1.512472507498486,1.1639107780223037,1.0713900728721877,1.0093734697202283,1.047182526892629,1.1934436048649801,1.0127370094391477,1.0544818968219631,1.1898510532839472,1.204443899080073,1.0327179589252422,1.0700773345815604,1.3893943111372684,1.102344485487198,1.0959764123086326,0.9081625021272319,0.7884064206822209,0.8385750186038119,0.8649632894920672,0.8726922423909778,0.9563814714798167,0.8894916261824449,0.836852701597751,0.912069448959378,0.8306643623902604,0.8183450806574376,0.8354866288196718,0.9257488796291328,0.9541474093449727,0.9565507017273409,1.060732397318309,1.0881463399926408,1.192160208361876,1.145631891668765,1.2196349284810253,1.1433407921979784,1.0905002713101621,0.9574555821111664,0.9939458014669008,1.0952316920163705,1.029104052458575,1.0006027432477829,1.0811267504272934,1.0857911894443228,0.9861539248159743,1.0759182017156355,1.234276801157446,1.0583906019709552,1.1250566348504447,1.2157727503757272,1.3982286970874374,1.2079003927208152,1.0744715310877164,1.3010028581640307,1.2239110929400585,1.4579836445105687,1.120725325488669,1.0100567771517277,0.9957530816528464,0.9635659191426552,0.9079634533669052,0.9832090328316196,0.8602299381536488,0.8712973779407028,0.737529725109886,0.7152234413790457,0.6222217001042839,0.68171104569856,0.6622974784040658,0.7167712732276846,0.6942412616033168,0.618471222266046,0.6938260818227205,0.6595034722432239,0.5676285451921272,0.6034607728079028,0.741272027196278,0.6449632801812422,0.653976492605452,0.9028994548246471,1.3215592327057488],[0.7031796497961941,0.6420886227050516,0.7000601518583737,0.4737608238280129,0.6091234211749171,0.578705559841656,0.5067594348965898,0.5375091675588805,0.5224693572650485,0.39545994741934987,0.387200403136593,0.5318434066252005,0.40354020359244347,0.4166751942291963,0.4583021306737934,0.4221125942987579,0.4546118559262781,0.46767599567507734,0.6091081633579554,0.6140241545622777,0.7129177440694714,0.8440584622166432,1.0278653502500157,1.1445663633942997,1.0478812255015397,0.7978891826395865,0.653887507850729,0.5388976545152177,0.48022679973336785,0.4246606908045755,0.41941944623705074,0.4635288700640571,0.49325495478694364,0.47980305060232603,0.44090024156773044,0.47690843981360104,0.462330996048193,0.5324036139352365,0.5253126824447674,0.6401676473602124,0.8917835691889899,0.7097163498901614,0.726091923104643,0.8915404690582907,1.4697984288075545,1.887696973144269,2.3544842782729325,1.3684451067481724,2.0993841322476507,2.6512857275332578,1.8664368382834495,2.4211580708029667,2.3538014193437005,2.1568346235332627,1.6723401115915668,1.1554997816587862,1.864367514609921,0.9931862873515785,1.488836199590882,1.8782669555153941,0.991644067484081,0.7495326142232696,0.6189548086916269,0.7597861999950529,0.796641412397931,0.6789121240635374,0.670142849294193,0.5381502815330927,0.6543284722481509,0.767580446041506,0.8538632412879827,1.1117756868272843,0.7618602210088781,0.91343564143466,0.5867772886441035,1.003522383671508,0.5565837037841732,0.5121002150746778,0.531113480076606,0.6248470811120281,0.5270529781552183,0.5911551719816159,1.0803401739319185,0.6683057565780516,0.6507450361509881,0.5558667217466696,0.5293299417886064,0.5917938460266444,0.5002801629895072,0.49882806914605815,0.49144115502524965,0.6487405180895531,0.5541757428615379,0.43037557987888836,0.42580741886559825,0.5191865630418009,0.5427429738611834,0.4723802653362597,0.487138798470516,0.6866175549250166,0.5303848734792225,0.6346592231405337,0.5198168403252775,0.6582651670593586,0.7855454380287509,0.6916266763322472,0.7684412794914988,0.7768435901405094,0.6983025525799388,0.6478095362066868,0.5849200763455675,0.5160849033016786,0.4831489145888293,0.48544915769724206,0.42611707581324587,0.467096094802975,0.5906579643656595,0.6658424880347532,0.6735300684480376,0.5024641261726567,0.5656126381199988,0.44713264304880995,0.48539400370071834,0.3734983041238029,0.3851060837240931,0.498053499872792,0.581385011108856,0.5637235138301964,0.6177758045924688,0.6220127385176567,0.6775785034912559,0.7120815381597723,0.7380741926690212,0.7058096330142127,0.6766425417310097,0.7255890310704821,0.7620896494638881,0.6142750084875286,0.5102754790324247,0.5091873212514282,0.733609561473476,0.914801204833941,0.6853715366146903,0.6001312389101428,0.6158531497362099,0.48644954562046255,0.4872381226666139,0.4654283735197778,0.4681496194540608,0.4780214810678738,0.5894261649088364,0.583305388436544,0.757850168084792,1.2502000995942246,1.076988572267686,0.6098303959019945,0.5219764481672656,0.5592404956963141,0.48226032911942057,0.5378108171527496,0.5023045351920196,0.5300319859458908,0.5426763701092687,0.5872462022866777,0.6471380519692242,0.8352422109316112,0.7747257402444441,1.0470622054522722,1.1934151341736934,0.9013071396059643,0.727902863188245,0.6248111578066526,0.6249047447049956,0.6037044543513144,0.5614158273031028,0.5571402447159842,0.5278187923779638,0.5624481341249453,0.6117929987008215,0.6078164087902469,0.6554108408869891,0.6105773192509626,0.6910996984941978,0.775645957115165,0.7443126519975642,0.8024184625497968,0.9132878119904682,1.3293735776262436,2.1857551960133548,1.5779854604563752,1.7515594859453698,1.6668980529525834,1.4727572027300098,1.2176922908223167,0.9287308191801896,0.9454777876769271,0.8251617169272628,0.8408628275872967,0.839617964920428,0.7388343978059189,0.8039670728207325,0.7404751350365145,0.697411876705531,0.7837776057914144,0.813616155119871,0.7901224458724078,0.8341405093502974,0.8987950230873348,0.9137879939580146,0.9339935619144917,0.9980753066025265,1.0652510275927893,1.071380043765175,1.1396841373251934,1.2803827617283028,1.2533954820476865,1.2190462788821117,1.1541539053767065,1.0301324932145897,1.0733956595079641,1.317508934409331,1.45156411702161,1.4611431968987827,1.4612405892489022,1.1275742737495649,1.0366814432323934,0.9814381761897982,1.0350953885539451,1.1714225158641456,1.0156820935907958,1.0327252499538346,1.1937045734219849,1.1818744280350413,1.0248532863809114,1.095331475521125,1.3852269421052574,1.1301621967484978,1.1155615033323838,0.9150367904784709,0.8004447134816255,0.8469179200253912,0.839312916021358,0.8501284969110187,0.8988779961709451,0.8777325422092617,0.8026827408087722,0.8808184644088362,0.7847957116052292,0.7903071288766579,0.7876625421891905,0.8472684600506343,0.8772690972499906,0.8870321155664745,0.969980623019699,0.9753992581010864,1.0948871091746988,1.0432418772304175,1.0888801339635605,1.0477653763447194,1.0018844967422873,0.9018727936283204,0.9296952868834321,1.0055680051082658,0.9751629997250381,0.9655233334709147,1.036805355032545,1.0375865046222823,0.9640810475518036,1.0528873315585494,1.1877301792079138,1.0263622228416183,1.1020709600688678,1.1900043890770333,1.3603253263475157,1.2178339857255398,1.0407223155607068,1.3340841910905161,1.2413510873060258,1.3058547844926125,1.1247195548058908,1.001195746496665,1.0064811806283962,1.04282433078128,0.9317072271048241,0.997062035519603,0.8389495963981534,0.8602139310495355,0.7565090408844998,0.7311035778977216,0.6432051500485615,0.6821916080309266,0.6595602490607644,0.7057229087918555,0.7088618378782028,0.620118822143846,0.6897838267771327,0.6446060545882685,0.5787676735352486,0.5975818133227284,0.6964519180333673,0.6149407569287227,0.6303731825321405,0.9563975224829566,1.3629657917688802],[0.5183529172527124,0.4904972189409637,0.5864183857659228,0.4142398941361799,0.5596906513979558,0.509502530545544,0.45083105245095806,0.46445525170295904,0.4913786096074074,0.39333275194996303,0.3761227143193004,0.4983927491678432,0.3997105253585041,0.4289709304613149,0.47057758579860887,0.414406907433225,0.46009081045415323,0.4809016421197738,0.6290243196694041,0.6239900302596034,0.7302420252136776,0.8599236847106683,1.0480457912447239,1.1565869283264532,1.0390357313695904,0.8132933091053408,0.6598965643219996,0.5318875194310967,0.4679214319039616,0.42573426007769605,0.42681046614909085,0.4384994910705824,0.46719834336345645,0.4735964196061247,0.43523971641007597,0.4866040120196022,0.4406077158596221,0.5309633069556526,0.5169135308025168,0.6305913027578292,0.8785564362758541,0.7089236408176394,0.7196888813604967,0.8453743946359475,1.4437547132997928,1.8401457111478752,2.3705304913470333,1.297503229730447,2.0830689722755067,2.517431618861587,1.865575011496255,2.405950886244399,2.3484976552642514,2.1346492968640196,1.6450291549081704,1.131418825683653,1.882869201994961,0.9619905342661582,1.4121924013744902,1.9039256379490408,1.028054330398441,0.7432265439474902,0.6222660587236446,0.796350743039184,0.7926476046942083,0.6939698763781237,0.6883182904864749,0.5600474783836046,0.6765328488673077,0.789272021457186,0.8288506553848846,1.1038294235752792,0.757573203875972,0.9238182690345106,0.594147517793038,1.0400120188681599,0.5766920558200841,0.5261839138637223,0.5412154593885837,0.6176699099477756,0.5168960680074569,0.5984050231919235,1.0849412297339558,0.6758686484547795,0.6769235951659984,0.5470306252624072,0.5289110374536374,0.5800897890440073,0.5157683497684294,0.5055899568183077,0.5117613070582752,0.6790682137306309,0.5771832621345916,0.4445237390291853,0.43451160846118336,0.5518576671662382,0.5540955518658586,0.47793099193274174,0.4756699750687745,0.6366876062509185,0.48480470436358475,0.5539768336807678,0.4666652680799468,0.5848002710458405,0.7153558955006422,0.6272955236716028,0.7108375974658406,0.7077074793816855,0.616190609990464,0.5973684647657322,0.5107636918798403,0.4804370284634167,0.44649647939526155,0.4559080642797586,0.4245757063934014,0.47035300933738144,0.5808416985867012,0.6616886375289368,0.6628845922931893,0.5230182686296913,0.5911003891261493,0.47767237420365855,0.5175982036214467,0.3926651733327577,0.38505740955245304,0.4678057721253345,0.515150192556911,0.5106828836730049,0.5517470932820956,0.5692529108415385,0.6173382274533472,0.6381578740166405,0.6959894417282766,0.6466921196243115,0.6473907831474974,0.7170812301250408,0.7641907903717166,0.615198633734578,0.5119703428492134,0.5383526697297942,0.748799723504655,0.9445471722037183,0.6963170554090623,0.5952607443498471,0.5910053225920989,0.4823611383484523,0.48152594579270686,0.45742066488461486,0.4417960815672425,0.44996778949681243,0.5322813289724653,0.5235886589836922,0.6885131954238859,1.2236638984012653,1.076046250004742,0.5504281529386928,0.47898788430242134,0.49312603956806533,0.45217279821702894,0.4940849232485746,0.4678949920991165,0.5117601960053809,0.5304758648081546,0.5839480280625189,0.6352660403016683,0.7991086975858089,0.7745787395287962,1.05540835256421,1.2187981700018269,0.9276159388407433,0.7251185851443293,0.6084942373741565,0.5975369737976192,0.5837205772883592,0.5395140835526515,0.5309029065083557,0.5216703123166453,0.5240766534913655,0.5940039708826729,0.5712334277445081,0.6279788436148603,0.5587488927499923,0.6280481515408982,0.7250444026407975,0.7201635873135834,0.8283281147670977,0.9421199006021941,1.338260066338621,2.1672742002943726,1.5722907981017866,1.8499230464133636,1.8521507567424753,1.5613676378426355,1.2585955748119788,0.9198217334296898,0.919308415995139,0.7588429701615258,0.7498603161018567,0.7336826705744274,0.6384618236195682,0.6663378052744967,0.5925260633557501,0.5661850593126505,0.6315802688254902,0.6442002163808432,0.6367294148377602,0.6938810862142601,0.7345730422193444,0.7443401721432598,0.7829659782464344,0.8355640740931018,0.8982085446902722,0.9300363614457838,0.9880195722315659,1.1183976233917798,1.103465157589373,1.059724279799989,1.012046666510811,0.8612128979207987,0.893839232393083,1.1521113917627686,1.3853100837251524,1.3110458936811604,1.3840451314376652,0.9631265925026155,0.8600761881070021,0.827062051132492,0.8582733480377637,0.9829524703733601,0.8544909955416692,0.9084652983824509,1.0637274239060324,1.0512289075480163,0.8862702058198304,0.9819244089103093,1.2554024958908374,1.0196008921779114,1.0382167192095597,0.7946406098656024,0.7034958674687974,0.724315373084365,0.7036444192163538,0.7412812905113554,0.7571426714396743,0.7645134043194822,0.6767392366064627,0.719242743419595,0.6411473400843585,0.6490862621124794,0.6279127776000291,0.6911344535454254,0.7504519769949753,0.7420817046837489,0.8109667003900043,0.8283716359378489,0.962211872142423,0.8918177392895893,0.9227313241154383,0.87311897941261,0.8164039486576007,0.7172624617839267,0.7413555459324219,0.8173179047854372,0.7910256194996761,0.788669576803956,0.8581123276147404,0.8660842669780232,0.8044457270350028,0.8936801302798493,1.0479852111077723,0.8794122086373473,0.9618181100531087,1.0471166999923978,1.244939283886744,1.1197281730038986,0.9198034790134846,1.268437649329464,1.1974482023746607,1.1953806455739098,1.0050636156957815,0.8643407451424819,0.8608581492844808,0.9258181515466686,0.8072698841613453,0.8924656426107568,0.7540956428382608,0.7438391698166537,0.650840406013999,0.6312290075101532,0.5619434867709061,0.5595771378704291,0.5369988575786532,0.5609942458076471,0.6450500872816572,0.5242656672820354,0.5485025672955053,0.4948376967285898,0.48073778830848596,0.47580142636124606,0.5999289528723348,0.4986073044458016,0.5914546948043712,1.0691679932041673,1.3766322827062285],[0.5965322712295644,0.5411960120729925,0.5945899828324863,0.37052833883498676,0.49566604569818196,0.47461225500580445,0.4113512657814572,0.4145262258818134,0.444283138866066,0.3532941948632522,0.34779983607565296,0.4553771620344264,0.3677013910261095,0.4236744345500012,0.4757876485082041,0.40779087796596936,0.49511175943486574,0.5457959294928945,0.7217475848060959,0.713834475206195,0.8624681485352723,0.9936492160901513,1.1837620530340043,1.3028307978241407,1.1420018760854533,0.9170402449299148,0.7401967085819356,0.5896648837005837,0.5170635238138095,0.4284993598325897,0.4596180274155451,0.4174739242112639,0.4229765572736233,0.4808677462159965,0.4502873480247807,0.5227801210535421,0.44670090502500265,0.5745848514339512,0.5707713495794695,0.6698033048784163,0.9378733150753293,0.797755658951437,0.8247122488332661,0.9442116771229317,1.4825330061284427,1.8825439353157971,2.4563612679776083,1.4217643819093557,2.0906267192729677,2.592972456362657,1.953107491464434,2.4841910329505184,2.3616209909260766,2.0774001965873463,1.7120740602006252,1.2180218452854776,1.9177530648342975,1.0655580319259534,1.3926662959313347,2.085729168722805,1.1356085336422688,0.8685788724099103,0.7463088494121916,0.9406116306625821,0.9408428840796249,0.8186737526525856,0.8087482564868173,0.6444384025564339,0.7458787673776076,0.8686788634325837,0.8942230660408168,1.1821716440607966,0.8149380249048125,1.0492261490078034,0.6732966367886274,1.0717312667413201,0.6697883439158991,0.6075866162027169,0.622275782442185,0.7014446659372998,0.5635163078691956,0.6180627330924651,1.0474449265136512,0.7062891496682047,0.6883719091721865,0.5772477201091649,0.5729102638637765,0.5871749550792694,0.5766649295388374,0.5354811315433409,0.568882546722188,0.7073760615078925,0.6110258333898752,0.47416361615126135,0.4438981907624157,0.5533081142910308,0.552813748156361,0.441213803314122,0.42644989205825795,0.5803235922242637,0.44077591028348745,0.5157661614140517,0.4411238470532095,0.5373309498572114,0.7337112551678227,0.6439382071998347,0.7054379194012704,0.7358295805164687,0.6186096234594279,0.5743128033298154,0.495621535975559,0.45205901770867474,0.40960211452227124,0.4195586497238141,0.41242140970953867,0.4724812244475929,0.6048326457864196,0.7362829412225991,0.7782086675101717,0.6013647907085246,0.6739617388518215,0.5133157810230564,0.5492065507375543,0.40013333949473273,0.36261180038225677,0.4060473893712377,0.4407737227979775,0.49703368235686235,0.5470334855038365,0.5861790435918877,0.6459396100797792,0.6830677906033497,0.7603909865885154,0.6884956088409322,0.686595229665693,0.7456863496421737,0.7713588499718153,0.6547678718793226,0.5572331991735626,0.5772722613701617,0.8069049140685512,1.0673711273159718,0.7498911226673738,0.6316609084865844,0.6607473274455341,0.5068981633519152,0.48812457372602425,0.43556661210556175,0.4017062355956482,0.4008972100496413,0.4904865052024342,0.472257308166468,0.6405734295166509,1.1710092657010611,1.0361170312472936,0.501478851418145,0.42422134348709195,0.4441237722240569,0.4088794344195788,0.4532127974154872,0.44770870567305465,0.5151555965109103,0.557294295225522,0.6188012056475138,0.7061793927975258,0.8609712825180589,0.8595301111503325,1.1614981850848072,1.288464417313715,0.9586094192994324,0.7795274833220295,0.6567864050045366,0.6392048567166208,0.6104785460955668,0.5473037961873457,0.5171498303540976,0.49920231924947656,0.5032146292486316,0.6200976892385371,0.5866562113077548,0.6576102152991705,0.574490054017207,0.6843074316026715,0.7850929604781632,0.7586130081608541,0.8545392590533851,0.9460265985894543,1.4149861489477842,2.205756754243665,1.6783114940595605,1.9866915189496268,1.9171703563398257,1.6579648929402442,1.3334150596093381,1.0234491489115118,1.0075292583417397,0.8177491837086951,0.8183548235638569,0.7918038946374443,0.6695484477505081,0.7328143748352787,0.6359070125678019,0.596500214083388,0.6962552569460639,0.716017028442157,0.6724664598139831,0.7413244205927206,0.8185843057788459,0.8080417052564496,0.8384012256412193,0.9255934802159741,0.9895561676732297,0.9879964878920504,1.0656636034135907,1.2386677309008558,1.227655572514111,1.1811955070052687,1.147955047043557,0.9871770402132373,1.033071413565779,1.290846346166369,1.4203586628921911,1.406523739209533,1.4016970950788719,1.0774298533572346,0.9872976559101214,0.9161703124334134,1.0086625987210907,1.1399190211797212,0.996914768298561,0.9802442282685848,1.1951834115359135,1.1536545756035184,1.0018710837258578,1.161215583442487,1.4091999811374178,1.1617870394866918,1.1398110798336702,0.8908955159449675,0.7623299489534756,0.7990200842779718,0.757328202972937,0.763611510658056,0.7924832254280911,0.8118188869794456,0.7048058952736219,0.7734982387265908,0.6714884693251271,0.68412810006744,0.6692378914464592,0.7196988356934158,0.758577756057691,0.7674160660279374,0.8598699596000959,0.8666513134553857,0.9961566951108801,0.9595269149027706,1.0047483472175749,0.9698837512078605,0.91815357487269,0.8022912039135844,0.8467319854706439,0.943247618909532,0.9059410503785965,0.8989621511240553,0.9952389057458895,0.9938926551099156,0.9152154744546428,1.0393547518117474,1.1896918574182884,1.0110480864872229,1.090144189196248,1.237871758666693,1.4027191134494312,1.2832342878794554,1.0454093489513239,1.493243770682354,1.3124530955643439,1.2835884278181915,1.131131137785455,0.9625881065715687,0.9469810427448434,1.0392778478787272,0.8951507379805502,0.975244555903758,0.748587344648257,0.786183285403559,0.6745795332574074,0.6548959947503268,0.5437123242326132,0.5693432500729698,0.5437284083047041,0.5787569678944041,0.6284090970251845,0.5090338637953126,0.5585268148277817,0.48917479539170017,0.44931580025714035,0.4678426622450988,0.5993245156501573,0.4805901911110332,0.5654707685657722,1.0529902094727106,1.3718410225987858],[0.4657641229640235,0.4362651122281421,0.49942828780054216,0.31127989444008075,0.4173850538757633,0.405707725766967,0.4015832922629695,0.4006392836874489,0.4775834074143317,0.43309944424235436,0.43778988645484446,0.5093630251898532,0.45151890098812775,0.5248126179706563,0.5808798205311845,0.4970157550980778,0.5980488498497029,0.63639109365031,0.7987964339169655,0.7899002322313863,0.9382232731423491,1.0570098073559602,1.2397337819103817,1.347722481123733,1.1790721280461314,0.9808363433158578,0.8120936829663199,0.6511197550812396,0.5885364622557732,0.5214729505829352,0.5639575844758191,0.49743344834751324,0.5084569744372842,0.5771681449662817,0.5471746400759022,0.6181742692593372,0.5348689510360514,0.6600949179608077,0.6471668775168408,0.7229873346405534,0.9671051208626611,0.8592693191816915,0.8863269367430632,0.9756995096230956,1.512020217618574,1.9427032508881055,2.542044294831187,1.4519532737677512,2.173183500280075,2.553789104141615,2.0226037308234237,2.5519291651719147,2.3990511322221613,2.097608804086447,1.6876296087488991,1.2658805624560143,1.9735795859324103,1.085800171278317,1.3591965239113382,2.1490170910479143,1.2339121694408368,0.9549519311212199,0.825807586199401,1.024473487435391,0.9934936736777071,0.8971610819611004,0.8917194379148459,0.7360256395861644,0.8198061043316641,0.9318010290156432,0.9274510809729793,1.2199333922761728,0.8719159631361558,1.10538918317961,0.7460652251719078,1.130105018854015,0.7599077235294609,0.7021723566269777,0.7178246184408608,0.7756471739271129,0.6430466229164934,0.6915954801112458,1.1053128150290605,0.7590401760948202,0.7601107159015069,0.6462267907497432,0.6557334643611842,0.649988778985972,0.6774006529145067,0.6337595564165681,0.6680323270252392,0.7952551495436894,0.7164076199251946,0.5953515109905606,0.5498034356159743,0.6543289567345205,0.6505502739966211,0.5542360563147888,0.5163537886498603,0.6085301476248001,0.5026208098117435,0.4918120523715833,0.47537453777796745,0.4918662208774735,0.7196265876534996,0.6178197509330617,0.6738059528615027,0.6909211492536821,0.5726960285223852,0.5678473376575564,0.45491381405920384,0.46832465352056846,0.44274479343236856,0.4507508151069687,0.4896892403435396,0.5397935065141525,0.651935954877886,0.7946484912202715,0.8265558857265943,0.6825593620663584,0.7508119369321566,0.6024880955645668,0.6283323511920132,0.4902752593209071,0.4532376564778997,0.44816444536432715,0.38604228963653436,0.46876847836991936,0.49912440494845756,0.5665813994549029,0.5972875351095565,0.632117640500284,0.7539796168860838,0.6625379101531931,0.687411873742865,0.7557062989700044,0.7925741163092274,0.6873217287791041,0.6045991407478205,0.686711119128575,0.8937339960752547,1.1500706848163056,0.7970518520399705,0.6800228257428088,0.7134570528909866,0.5680142070107765,0.5449452578259465,0.49916206348440567,0.44436357336517845,0.4398257499641282,0.47981828253183967,0.47324499239045215,0.6289838823266197,1.1797891625785133,1.0784071701264006,0.5142891633149704,0.4663488535731348,0.42686023556908,0.45456836668879,0.47003426194100645,0.4680379495861175,0.5583022767004131,0.6017594647179589,0.6647682382262274,0.7518777477082733,0.8690811869559554,0.9054789302878979,1.221711685402633,1.335302769587063,1.02590394478814,0.8130057998079272,0.6883985366152698,0.6679815693194162,0.6291837130218003,0.5771363482700678,0.54554416843354,0.5376315326249088,0.5438177945498895,0.6578774213978036,0.6011706452102771,0.6674345958980581,0.5679619854935994,0.6684801653283944,0.7846301133016629,0.7809935942421149,0.922401606455981,1.0020805272459927,1.4551839770501915,2.236695368245883,1.7373165721422783,2.1318951925055467,2.1306647492977837,1.7813092723086683,1.4006413190454128,1.0451247034916284,0.9952254601996985,0.7516063400389825,0.735260066990723,0.685476933058766,0.579129856614113,0.5911456755767681,0.5018855014772844,0.4836135513251191,0.5473257158280441,0.554105318457498,0.5250723241658166,0.609927672725177,0.67533503378872,0.6495225659586906,0.7016648727402323,0.788848593507914,0.8461837859001408,0.8556102324289476,0.941198085327518,1.1118534195065115,1.1205191750001873,1.049314120869949,1.0269994951461283,0.8373450477474175,0.8721133144193516,1.1381123360917005,1.3518734100115832,1.272738399660916,1.3304846555111318,0.9142645615749144,0.8026442134817485,0.7482492484749322,0.8248653819648037,0.947334990612497,0.8274798112266244,0.8472181254235667,1.0614337753879655,1.0084017632619402,0.8478493546868459,1.0452699410103876,1.258624165946134,1.033376296979067,1.0520996913371126,0.761531530876884,0.6644991709253729,0.6892092229972362,0.6293045629827368,0.6922385238391399,0.6820281570460031,0.7254853108443049,0.5998257983635895,0.655162059768306,0.5528091922526135,0.5593155213151667,0.525313603079477,0.5829426917845233,0.6525019564528083,0.6403289557079541,0.7167680750340617,0.7293386888854554,0.881547305349716,0.8184714233114984,0.8469351008134895,0.8037919913525357,0.7387173937244014,0.6397769011904743,0.6730173762650209,0.7599578221474484,0.7338133981258901,0.7308846735161476,0.8206225685856225,0.8266000899278796,0.7536047877027979,0.8779374330126233,1.0377367180772734,0.8627231789496062,0.9502080758668607,1.0865867276377137,1.280178725385099,1.172212000238716,0.9260444029340252,1.4085081423433994,1.2695781693506634,1.1855396327903023,1.0390199605410468,0.8488522336727222,0.831426785359972,0.953265016398775,0.7903031438951736,0.8673030794134386,0.6584226491971781,0.6651568261919735,0.5659732452576426,0.5602213350995837,0.4540027803432756,0.44334858949304595,0.4314743550394299,0.4371703011499408,0.5958308788115138,0.4085854652266239,0.43790479898225193,0.3739939026833058,0.3718699665073399,0.3671905785490472,0.5354348811246289,0.40567227960552427,0.5754739790829809,1.1959320954287203,1.4562840093072824],[0.42164079357576106,0.403071738553074,0.4579351628221117,0.2708216575470623,0.395954893653458,0.37449453864165755,0.3639350496976239,0.3593347042626361,0.4277681380366789,0.357387795541919,0.348927553193291,0.43460440113317644,0.38085235299605097,0.4288200657544097,0.49026126697230243,0.42279768563832865,0.5000623896981128,0.5320824682305161,0.684990046989974,0.6780972683070584,0.7940151742820462,0.9220262158830314,1.0934718537562225,1.1992788299412975,1.0714680293402186,0.85595590793093,0.703747296853204,0.566532541276449,0.5052937894653218,0.4360000049722365,0.46324398995835636,0.42639427077688524,0.43343147460592846,0.4913341882262336,0.4526162196001131,0.5165239276036794,0.453619824032429,0.5652512958650786,0.55390936967601,0.654947925432247,0.9080501560695309,0.757591653340254,0.778584485081039,0.8929627816214246,1.4671920171283013,1.8720451072893145,2.436356608392651,1.34330969330949,2.1087771777212185,2.499714406830507,1.9198704722432625,2.462046969901428,2.370874167851367,2.1150874619645945,1.6590095242713951,1.183698659229438,1.9127714002240785,1.0033976159224716,1.372843837742033,2.0069411817006686,1.104707239263126,0.8249085521965248,0.697007259051575,0.8643179181370306,0.8644654604961932,0.765395240234123,0.7597264337761086,0.6126576622318662,0.71546692727806,0.8459299704274835,0.8730063818031211,1.152455261067554,0.7884134950985074,1.0030105171128945,0.6384887667136407,1.06609042096602,0.6389655188138912,0.5849437853199115,0.6010756241364131,0.6725087305137762,0.5521582331654153,0.6156652124941459,1.0836594295582862,0.6961171281132588,0.7004598779037076,0.5725903898179225,0.5651406273894517,0.5801960271023485,0.564102867917453,0.5405399798964229,0.559807734108394,0.7127667431971227,0.6141500314585976,0.4858739182971719,0.45756393741135276,0.5648548250767063,0.5675576459403027,0.46115417122545804,0.43776669866152906,0.5632567865747463,0.44035536192995217,0.4609874811903672,0.4305530814034184,0.47604869024845253,0.6945348697317358,0.5799571345131219,0.6452953785850506,0.6605481989444533,0.5453436135699462,0.543586663919754,0.42595169044356873,0.42711353684533404,0.39814460491817366,0.41113773860954594,0.41924538758323127,0.47647659539874027,0.5943433993406003,0.71063844707225,0.726641040158318,0.5759012624325144,0.6475902070587675,0.5129919230819886,0.5482098248204965,0.41014321583939745,0.37622840381055567,0.4040398175021822,0.3637545986147741,0.43938216528473,0.4799603026260993,0.5393526541329776,0.5692653780971082,0.5956517481292941,0.7029970661745489,0.6212446601016745,0.6454395341198946,0.7183713574058731,0.7706917953743987,0.6389521886519345,0.5393673402060096,0.5877681389114425,0.7860742004561854,1.0047319321223374,0.7195246315317552,0.6128768213145694,0.6279079649586106,0.4927009255875712,0.4800531951013943,0.4493990752868939,0.3960206279762402,0.3905835961135458,0.44489121926017056,0.43931707883502313,0.6040734085366162,1.1315729082641799,1.030809546466141,0.4747263022679753,0.41460531058356875,0.39305291688451083,0.4074646470793664,0.4304228895999271,0.4308188840825486,0.5042938918741624,0.5391970585038371,0.5948890808665845,0.658233861320851,0.806905866916774,0.8266612054387117,1.1227481010132438,1.2684546131477652,0.9835066862592353,0.7574160674210471,0.6275677843400596,0.607549819232463,0.5807418965742538,0.5284595112975975,0.5056698367698887,0.4911017343064201,0.4990133862309823,0.6017241113334614,0.5522474997073861,0.616259494926842,0.5327573233732172,0.6209982357614345,0.7286187152180779,0.7276596606851076,0.8571774735312788,0.9591110102109276,1.3756087366965035,2.175305776633778,1.6246872743475789,1.9851412660548644,2.042317746629457,1.6938661212489297,1.3384552049215106,0.9775611236625317,0.9415751927574486,0.7217909086183539,0.6924199376379228,0.6429169241132598,0.551359723273466,0.539605195598727,0.4587877123369193,0.44884167674521885,0.49260647166695215,0.4899856077861399,0.4711512737231206,0.5526643101966519,0.5974235630736546,0.56961603130529,0.6302748283573345,0.6969172438561614,0.7409462441950961,0.7649301123708964,0.8493062288744371,0.9951090374076857,1.0206460890288909,0.932056242389817,0.8958004195633257,0.7174725141674704,0.7352184383053901,1.0070332108138482,1.3149694937846763,1.1787637684769052,1.2972467001279466,0.8224669877643014,0.7042994396035857,0.6765416379830387,0.731819910323698,0.83758741518975,0.7346569340413511,0.7910612686635888,0.9852172713574885,0.9312801684771015,0.7730676176915722,0.960428266306297,1.1476692288360186,0.937457413091179,0.9990756740479989,0.6998080626980901,0.6254192980316667,0.638073834963751,0.5861938765371648,0.6702879949850828,0.6445644762825509,0.7011904362139222,0.5655664458771035,0.6149426107969158,0.528430841277106,0.5315932679744184,0.4825074654307372,0.5409465187928233,0.6243089869944165,0.590985701830584,0.6464564905251252,0.6632283736314637,0.8292757704029137,0.7272217997336555,0.7385531680083918,0.6997703749625452,0.638224365334554,0.5686359567794737,0.5857342105175659,0.646559851922729,0.638487431944078,0.6430590158135508,0.7040096890361719,0.7102039866275885,0.6596785982814017,0.7642470776367933,0.9102236150487931,0.752500126070406,0.851724183721407,0.948355460013182,1.156803340497596,1.0605643877279884,0.8187240636156508,1.283285677353282,1.2197268973533557,1.0500410908152427,0.9394314978911891,0.7675199642046318,0.7532554867351076,0.8988110391009748,0.7214257810807966,0.7897985844860975,0.635483536295561,0.6160034606075083,0.53103308668187,0.5294148939115281,0.4341668124246972,0.4072087302299752,0.39950305734729286,0.3957425485102199,0.5830033273098201,0.381445544124377,0.39162995107500315,0.3440382926312628,0.3438074538698885,0.33147559797376763,0.4935109530670765,0.3971030628863691,0.5798821064329424,1.184256512130438,1.4402973789881695],[0.5717025522237164,0.523941717305276,0.5263656579897037,0.31703224281178244,0.4626086084600159,0.5014279852234996,0.4717054941025305,0.47380599932584855,0.47875932429164875,0.3838322765264402,0.3764957281563267,0.4789526298968354,0.4243236866537918,0.4304037280468697,0.49849824038187346,0.4628115640242906,0.5243130065669472,0.5735592176287713,0.7265882091939122,0.7282254491671997,0.8482264186828025,0.9810651604887215,1.1633451134643682,1.2844680596719704,1.1485072104863603,0.8989317879518106,0.7487911974046126,0.6225541752349268,0.5592608900785414,0.4701436455636688,0.5060461552374949,0.4651440013407256,0.4655399074960323,0.5285636821008373,0.5006277991803907,0.5559127124573603,0.49712877984541853,0.6081658997433302,0.5989484712286298,0.6959313711072149,0.9610392851466841,0.8072350106289282,0.8352956905366314,0.9652691197821037,1.4878907091802807,1.861043250381297,2.394318578253433,1.4217238684283577,2.054798189735169,2.603026392627864,1.9028720432185038,2.4468729719365974,2.338371056657521,2.0624350644065514,1.7845504992587649,1.241927478990359,1.8731841126550215,1.1309709488055564,1.4717319326256273,2.064528938936131,1.0951306192325472,0.8674757125586422,0.7641714672738255,0.9265375757546602,0.9478201310163787,0.808170178654879,0.7884702818157143,0.6504322652398512,0.7413261898494808,0.8738974273449851,0.9382213339374942,1.2101500394567266,0.8254875937106742,1.0770233882379283,0.6907649101276591,1.042179130341268,0.6939080460693786,0.6407050675493166,0.6564292191138216,0.7398834918584666,0.5967949516074978,0.6589655503823302,1.0391401265825435,0.7522321151910067,0.7050311986349902,0.6207544650084061,0.6078857987449613,0.6261060264827701,0.602684788327002,0.5705014575298387,0.5921829733991772,0.7308323244311351,0.6449628794763107,0.5080766099099316,0.4763254635579916,0.5526228964190517,0.5684687126102441,0.451995538900223,0.4418943100407001,0.6011297378080664,0.48115763727627353,0.5487879482747996,0.4844636693132962,0.566246619553206,0.7767367361268995,0.6962721031011263,0.745237760406394,0.7769234092305595,0.6379304795303841,0.6053080065474741,0.5339090275044978,0.49696862515475726,0.46366273051317786,0.46134341570931,0.458545157770472,0.5012155060387592,0.6330485363875857,0.7412632183404627,0.8247746054829852,0.6147954870101224,0.6731848681702042,0.5228964734798546,0.5445220402336503,0.4239718925366274,0.3974181370934499,0.4364359645392159,0.45728440191551034,0.5337590954595034,0.5729887335270074,0.6253095151535195,0.6746712805843778,0.7159612568152429,0.7956676229120021,0.7204603686101899,0.7182198807262843,0.7740081471427279,0.7991703715920468,0.6813098015765031,0.5903923704066802,0.5784862312938875,0.7951366361731588,1.0219856761817492,0.7711967029571889,0.6612046698445191,0.6884126943459836,0.5529304464138929,0.5317198583019733,0.4864283346022161,0.44347086462726715,0.4474358704738456,0.5199651011186152,0.5085334808893857,0.642643084137272,1.1334481555460796,1.0306410475612566,0.5378379081816044,0.4734737333578138,0.4879545103825105,0.4476158444327987,0.4913822714941954,0.49042183281399726,0.5647069727776932,0.5879743075448532,0.6424033328762936,0.7097632829210772,0.8604110147497346,0.8564332022342936,1.1349748305763465,1.288348619488798,0.9517849189323391,0.7942790341607023,0.6783406244410198,0.667139776982495,0.6416194648321495,0.5885026378143361,0.560349991377983,0.5417206006561088,0.5555360920556476,0.6655695154745199,0.637598575078378,0.6819343435157731,0.6132025499710901,0.7188132650876864,0.8098487354310883,0.7873788485700732,0.8608153072192776,0.9458987431380991,1.4124403394045733,2.1897087008607596,1.6574880545450452,1.9522546252482293,1.916059302790058,1.6697964270176389,1.356562533978285,1.054481218284442,1.0332364611835279,0.8070572532203919,0.8008003058554569,0.7598964606399534,0.6574549839828907,0.6812126879948318,0.6000183335253968,0.5807954381794102,0.6272321981669083,0.6295054358147575,0.5984640728324259,0.6627683525994661,0.706374680223046,0.6798531665329393,0.7267980276839995,0.7992312981877179,0.8315443470388747,0.8390259390460303,0.9323802904293536,1.0906390153104433,1.1314203776040237,0.9952286475284606,0.9799250556670129,0.8192487800842094,0.8481288441119706,1.1201048091562413,1.2965672132033186,1.2605912684395892,1.2990510321733308,0.9551977598941229,0.8734931985358682,0.8197195616520014,0.9195118620244003,1.0252926743771764,0.916106212514613,0.9053704120261247,1.1243399957391709,1.0442892190520519,0.9205992372395473,1.129087087639893,1.2969193056679909,1.0796459761425559,1.1084787012210249,0.8345575732576554,0.7451722403205182,0.7681553419190958,0.7065049350116982,0.7591208856366265,0.7503695713008108,0.8250006887946717,0.6883746360754551,0.7326947973572474,0.6324852010877677,0.6498902320503075,0.5981770453532096,0.6242976480776322,0.6747829080385573,0.6640889247771861,0.7331192682369418,0.7255037351538243,0.8695743916841103,0.8164868311698006,0.8310957234586761,0.8123246930480658,0.7751703113448387,0.7029718948954002,0.7304634714886012,0.7860063866433051,0.78113162334767,0.7918080252191142,0.8476370085498536,0.8372443375374716,0.7931758412296034,0.905765685668449,1.0217167277924697,0.8602991512619963,0.9703833186098169,1.0873987904238285,1.2477514904472427,1.167171894418698,0.9050013331210514,1.4213202451936378,1.2889834278746017,1.0543627408684115,1.0199595217721595,0.8535080309218053,0.8623949426581491,1.0064964581576858,0.828278018993214,0.8673263773161509,0.6544314116536694,0.6938896026412039,0.6321909959299303,0.6396030826644182,0.5443779667615175,0.5536996503165605,0.5435460738467367,0.5418063996597041,0.6580532866684716,0.5100416182060178,0.496031343172358,0.4591531259455836,0.47605015102002224,0.4171433952156246,0.519259378074248,0.4601781275455019,0.5976627256013903,1.1187707144576027,1.4039393943924823],[0.5204486978605899,0.48201909447358043,0.5025748635130355,0.2859722492794088,0.3919285343675273,0.42939081282628794,0.42859504275570665,0.4233859816697976,0.4429240300771979,0.3980261480058609,0.4016027274033645,0.4719038940838481,0.4527624737188496,0.48098631763670807,0.559871102528361,0.5016281656756287,0.5960147952840317,0.6571361839909717,0.82782408025154,0.830801412931967,0.9907090544029898,1.1259549599065695,1.3116147356377166,1.4304374081777447,1.2440079965834734,1.0135509907479385,0.8427674564900897,0.6832007792777851,0.6166737075711702,0.5267644036057187,0.5774083093017062,0.5029333807477797,0.4990046345588513,0.6026223151996836,0.5773241753750047,0.6403728921523133,0.5507493052640968,0.683835496920064,0.6777583191593266,0.7669833226810636,1.0105464130649944,0.9121714538562242,0.9446098994343451,1.0464805262542887,1.5325809470634775,1.9248071782441987,2.524405466549036,1.5398079018385742,2.148603083468881,2.6438271235613713,2.062150937507252,2.583029075133231,2.394608492465793,2.0431593166129556,1.8098252164779534,1.3365128526878947,1.9505199073583783,1.2088158839498258,1.417096516390976,2.2365015016718286,1.2433983674011166,0.9992687860495585,0.8896389686322542,1.0968908307566538,1.0716332022554889,0.9411313419750287,0.9309483430124145,0.7652495449026023,0.8389280502440343,0.9536882014877235,0.9961405116350189,1.2964057912747944,0.913716540866003,1.2053692328520265,0.7936669448807658,1.1340676959790077,0.8029631854425703,0.7494417346149753,0.764810696883811,0.8354736506294049,0.6783565734738187,0.7260248433867691,1.0418081348104513,0.8206675110660719,0.7745277990620862,0.6818726386019668,0.6881289703002562,0.6760256264152003,0.7116549129075135,0.6571797486955019,0.6964417058108774,0.8056062057869874,0.7283045476993396,0.598357128743322,0.5519613392874912,0.6289525828153597,0.6404941187995082,0.5107837130712255,0.4655126358010619,0.5617253938076937,0.4896754800802798,0.5076082012148909,0.5083008707922554,0.5192618807048256,0.7664522168438831,0.6961461488120738,0.7448066148899446,0.7836230004846876,0.6309318323507744,0.6058223453361244,0.5105320614681242,0.4893857685475262,0.4524785565300403,0.4503129379661181,0.48643271734307414,0.5328424986844504,0.6502551870863341,0.8053712503343832,0.8879058843757934,0.7077104522445729,0.766133941436668,0.5823008927673273,0.6006924320439195,0.47149792075427527,0.42483865290737644,0.42420782893196013,0.417903262542798,0.5105300335416098,0.5510163757745608,0.6391812404184928,0.6864546453856846,0.7445168273429689,0.8640135211028205,0.761168389226782,0.768305205437267,0.8052160183075221,0.828517965430305,0.7333300096049501,0.6464912231497053,0.6828623956073859,0.8790503678924766,1.163859891704434,0.8196589325714141,0.6977938064274819,0.7581189617444773,0.5960439484675782,0.5584981099544697,0.5060500127488549,0.44260385727032603,0.4358680631030337,0.48908277152072555,0.46731103984326794,0.6059384937872405,1.0987256541324317,1.006157314626296,0.5032970061995737,0.45919723090182496,0.4457125846718553,0.4588473442844833,0.49243278797323914,0.4978694613142354,0.5975562039723349,0.6418912660905688,0.7081858087852121,0.8052464539369033,0.9197908075519822,0.9731824416689182,1.2787893847474234,1.3924795668000707,1.0308488322432765,0.8733601064275378,0.7407135168618388,0.7251128675754837,0.6866609528801386,0.6253672232792481,0.5855480090133819,0.5712012258790031,0.5861645200277308,0.7263594826120187,0.681860462621413,0.7277487186083085,0.6300899052769036,0.7689575974649917,0.8795575802473535,0.8575610929051926,0.9574946819195814,1.0064976120587656,1.5220957396764572,2.248929592858473,1.802953796346564,2.1931545343416246,2.1341826652683036,1.8379369425679566,1.4628347615145332,1.1533992909629376,1.0993350673681483,0.8192071487033101,0.8082672132688683,0.7513154029589367,0.6432142003352416,0.6669527344799872,0.5768930459716386,0.5566682912969274,0.6113745129154063,0.6150408750401614,0.5648669759564231,0.6448612198569936,0.7033645324860507,0.6620791489732121,0.7078812805438645,0.8000103380976974,0.8384780912921987,0.8311392004467447,0.9389081528612622,1.1159451017308357,1.1470291661746332,1.0358907048265713,1.035163874726126,0.855167246037877,0.8881889505180971,1.1514513702915183,1.3070308999080975,1.2788234257787106,1.302301694369398,0.9772660377542476,0.8882780240861108,0.809327767486872,0.9406600463622652,1.0505672909089085,0.9338871287728047,0.9095828525666788,1.1652482278974012,1.0667412120632112,0.9435223566807226,1.1958119378682766,1.3403168972105333,1.1306276529356822,1.1310704178745343,0.8371904883927413,0.7527492149068821,0.7751060938149185,0.6918133310781985,0.7545029611299549,0.7371259311055508,0.8150395328226472,0.67026535800497,0.7265588020757603,0.6005245073291983,0.6113252609264369,0.5648334085513707,0.5877058992208719,0.6473206201014401,0.6393307596411675,0.7151802333472501,0.7031193363666443,0.8587145975638292,0.8086090798893044,0.8275867235203228,0.8124663766848895,0.7698151400814941,0.6932973406122609,0.7357723102623388,0.8033067510545594,0.7864612856540707,0.7995226832363561,0.8771677518552516,0.8669564002467366,0.8055540484472207,0.9444471154445631,1.0748321003881407,0.9004022298586438,1.0004831512170704,1.1651941732008928,1.3142754291765406,1.2355767307360461,0.9497203085479895,1.5152299952031063,1.3205109119245997,1.1197971812777112,1.062074764299256,0.8721417002557561,0.8633957796347587,1.0226100957610686,0.8411776849964141,0.896399360002059,0.646235634613371,0.6853691117474897,0.5990635445348205,0.6175295642704006,0.5013837183213616,0.5056112980531705,0.4999489082079177,0.4895032066472519,0.6335808286328739,0.45707156370695246,0.4460624300897258,0.39884462316346364,0.41222410297336065,0.36719098031841296,0.48349597812646183,0.40686232685578905,0.5850680317494044,1.175458986476271,1.4333364670787176],[0.46561435702586823,0.455697303042576,0.4431984240957101,0.3218510192598343,0.3997366860117433,0.4588278878797541,0.48419263891724706,0.47824670519854245,0.4900464412048373,0.46012397852796966,0.45721913600859665,0.5223023621198046,0.5093536225409692,0.5143771710886634,0.5886766895404418,0.5370551845180646,0.6250171586589165,0.6636635857889225,0.8104832287115339,0.8143630167608554,0.9519462828710188,1.0801112132863155,1.250345565269234,1.353843762714685,1.1972133724992258,0.9784898370531261,0.8254150124989331,0.6793500505737377,0.6267189854356687,0.5701551103743939,0.6020018436352688,0.5530508848140843,0.5413859268242037,0.6332690973622964,0.6095450095891167,0.6610504008014452,0.5911657047780144,0.7005585379417997,0.6848407475361343,0.7605094844367026,0.9856168674148459,0.8865420878753428,0.9115991433768394,1.0147201699347705,1.5237079968280645,1.9232983051242414,2.5146399318358,1.4907238308746555,2.1894642130761603,2.609471115387695,2.0613607956581457,2.5958660750886957,2.4144323463285113,2.0828027597825756,1.758474451080371,1.3159784157176329,1.963443590472488,1.1657250043583502,1.3843623763224016,2.1998999543219404,1.2221643641099256,0.9621590061488132,0.8631258674256357,1.0439516345022144,1.0184716521619153,0.9115583649631079,0.8975058783735207,0.7537940487632793,0.8200111352861773,0.9517621784524045,0.9931641720748865,1.295936753501031,0.9054377942337911,1.1801476955264834,0.7892566117660661,1.1221488380606741,0.7901513007262913,0.7477160509444198,0.763424521978493,0.8267881619242495,0.6880450248718956,0.7325292984244824,1.0727629174005304,0.8423762142298903,0.816554732933309,0.7086455031833182,0.6945411960390744,0.6950942555706784,0.7187963626928684,0.6757222835299332,0.7091226597639098,0.8144043801144589,0.7446155829809863,0.6266977811051591,0.585182379927703,0.6584952581971517,0.6720576519370952,0.5640404392087724,0.525024441376186,0.6051242341741317,0.555608365920943,0.5596068426626895,0.5767439106971567,0.5632906922923909,0.7897292250881036,0.7581757125779696,0.7973018550727534,0.8369854592960689,0.7061064041735025,0.6992049205858023,0.5886370759320566,0.580852186334336,0.5336620086521003,0.5253515408851095,0.5444348572662571,0.5686635101308852,0.6570844982691366,0.7966216378699094,0.8610897155159243,0.7041263240735361,0.7645390867854313,0.5972958685500326,0.6126168923863874,0.520690312618524,0.509276197332774,0.525063887480173,0.5089143916386375,0.5911764276056369,0.6202039108246462,0.7140701305077529,0.7407283758831555,0.7906811862468519,0.9248941726210729,0.8237570449598485,0.8425428982651952,0.878112578157323,0.9272737881480846,0.8091159615929191,0.7040585845747269,0.7571657610445104,0.8871170397847171,1.1422033612468032,0.8024030250957392,0.7038248026339594,0.7589455807344178,0.620314689435903,0.5946003099061204,0.5624467599355224,0.5182698950270329,0.5092086296797826,0.5509829958881486,0.5274601350818511,0.6529747238656138,1.1094936409610325,1.031296230133351,0.5610250708490211,0.5253241732914484,0.5078983202985252,0.5263400728438762,0.5636017287737864,0.5606149451618816,0.6432880147586556,0.6834831880472748,0.7417065542999749,0.8287137298582387,0.9393441060083033,1.0323476106919192,1.3244876514559922,1.4575192466613007,1.1393240825001656,0.9485326852478766,0.7984618575582967,0.7788339075721232,0.743554657178909,0.6802410615158239,0.646004625771103,0.6252406463638545,0.6391063396999026,0.7726971074378209,0.7340289851182786,0.766827710517257,0.6926289572389613,0.8176273889212692,0.921464966292273,0.9096000473153839,0.9968326604935133,1.019572178397954,1.4869960627404302,2.2349439272790312,1.794214656509043,2.2312066475712173,2.282761924684101,1.9323813438885482,1.5479299367386936,1.215112199072579,1.124308999739411,0.833623687982806,0.8226724751900876,0.7415913839335198,0.6750012407427974,0.640057408017893,0.580517303960312,0.5779279483203322,0.561370591664572,0.5504911946783224,0.5178779654868121,0.5687258743255562,0.6129341649517769,0.5609599251966793,0.6097689637368432,0.6711215608371132,0.6906488404660542,0.7090362137497224,0.8044420739524543,0.9654501419939568,1.0356814861962296,0.8779453279948717,0.8751599123122812,0.6872326977661708,0.702946696933044,0.9741081150187544,1.249544719988859,1.1347105968641624,1.2685449630413619,0.8596318597855279,0.7729372575784728,0.7269143981338526,0.8262132605323549,0.9134070059609655,0.8249012571290425,0.8455281518918408,1.087541633158076,0.971881093840052,0.8541449800129213,1.1248234653382685,1.1889993835773272,1.0091104317256658,1.1013447155603713,0.7834308799288539,0.7717593921451655,0.76300567788408,0.6696351828622586,0.7874459880533254,0.7343426293805224,0.8400340321275477,0.6894025564292933,0.7203937646567141,0.634526520484466,0.6250201054415337,0.5548315842235002,0.5689440990490863,0.6443803538098477,0.5929077904865862,0.6278429823863172,0.6219442777306623,0.7799858617649286,0.6867498245674106,0.6822939567827135,0.6708553348498375,0.6414517277052596,0.6194078122557788,0.6500855933682652,0.6523912771531336,0.6624383874272184,0.6959163225825923,0.7296084774379883,0.7137587385564971,0.6908314377863587,0.8062809795100179,0.9103505450605118,0.7606078044668282,0.8719096009719225,0.9949505314229864,1.1440835417245276,1.076343743508621,0.8089558380562116,1.385038187785757,1.291991353917444,0.9582352485668484,0.9464792940083874,0.7665600637763385,0.7572692171338198,0.949046063978591,0.7431255092069795,0.771063456876645,0.5750957457661288,0.6033343760789638,0.5677088382382616,0.6311475577387403,0.5300712519680866,0.505190171233976,0.528201703144633,0.48087907996859536,0.6933314232601789,0.49636033408930036,0.42817523560999216,0.4248995478107778,0.4562909308019316,0.3798178058814478,0.4926362167307826,0.4459582429083187,0.6575460455934217,1.3261278493307826,1.5342621578592037],[0.6184678250468322,0.5927844099607185,0.5113597868923561,0.4164396421517352,0.4610609544257332,0.553769418049711,0.5736382458212527,0.5844251459308774,0.5694178188779291,0.5168477470180206,0.5218380737519288,0.5958878838501621,0.584395500833639,0.5871622761884606,0.6383811587630523,0.6296826145793752,0.6720639682073564,0.7238105468313637,0.8587251900923814,0.8562434409612124,0.9535382519200495,1.080666707253263,1.209167597070175,1.3227104414088247,1.2054486010459078,0.9784569067748103,0.8702616634066961,0.7641095968934783,0.7139685820533975,0.6249527863810472,0.6690429185172965,0.5936575149391894,0.5981409212999171,0.6817282674402958,0.6523302089282064,0.7000253969008206,0.6355385849778012,0.7116308428764546,0.7245365653719039,0.8143197283485815,1.057007133345806,0.8995752152507229,0.9327571834145562,1.0750526551985475,1.5704847159462554,1.9115672850959844,2.396503135326008,1.480046411379963,2.0744188188786277,2.640032243150372,1.9045847216776661,2.4432617620773787,2.3610385940493193,2.109213396233187,1.8458477021586905,1.3155157661854382,1.9067517176112976,1.2224256849389867,1.550692095006367,2.112417167614519,1.1345430674426467,0.9629508467531477,0.9018920957086092,1.029433573367225,1.0647911380477866,0.9162587205272742,0.8850617214196909,0.7919953945707986,0.8766819603781094,0.9818567347386491,1.0706348024556633,1.3254116280333577,0.9302003048062528,1.229166989219294,0.8303656171570621,1.1319359239103315,0.8397470960613544,0.8000210996704284,0.7908307979982846,0.8659597865010492,0.7379065093373387,0.7680777780936466,1.0978936817578246,0.8772432569339325,0.8190706243648102,0.7554065775036153,0.7416014826550203,0.7503244432695743,0.7507509994062922,0.726402589757472,0.7448948179021165,0.8549262776833583,0.7872938427972206,0.6532847627245719,0.6191318185176456,0.6696827772382457,0.6878271081701395,0.5696567068321737,0.5500737517655372,0.6901283852064473,0.6040105069770756,0.626845103621593,0.6266028285704778,0.6566840574800319,0.8478721836701294,0.8040998211514836,0.8385308437414873,0.870172900980738,0.7265187355049734,0.7036023910702587,0.6208627067392098,0.6176422767175678,0.5859069199915261,0.5839117629167195,0.6003710314474506,0.6543909032084245,0.7787409599165998,0.8713240584088144,0.9815913571514165,0.7663012219905782,0.8123256037969588,0.666775447605472,0.671638720807965,0.5674274291027158,0.5229366602320046,0.5429890903961714,0.5665498644451077,0.6225461694705358,0.6497378919622332,0.7259074906561095,0.7572945352478119,0.7994497440921019,0.8953072796079403,0.8186429416007811,0.8220782872845044,0.8821282116738844,0.9074765122828449,0.8100475840946023,0.7539082304195722,0.7088981865458589,0.8932726420888053,1.0691346179976735,0.8797880985271379,0.7756484117454043,0.8034615446954183,0.7016587606508556,0.6798238853902291,0.6217257940088219,0.5745997398849473,0.5649841164659087,0.6165299270123635,0.5911521796395407,0.706727837628639,1.1033572480932592,1.0517465743324372,0.6277047159278852,0.5942579431946646,0.5879240627608409,0.5758388429970057,0.6102086499026586,0.6036401643065662,0.6997192182035574,0.7197956385928496,0.7622721400319753,0.8045247412111528,0.9502454677987483,0.9209748330311813,1.1471408048436569,1.3314809025187662,1.0167383147737181,0.886521183281427,0.7865338454300524,0.7733892593834876,0.7561269609894787,0.7128701204189891,0.6760244642854171,0.6697469951522388,0.6783598719777195,0.7858035573974032,0.7565570626056191,0.7885039322089721,0.7156925612341487,0.8062889252093137,0.8824932609451919,0.8711854554313676,0.9280629598490702,1.0137881038372072,1.4824165339364406,2.204897265484145,1.680589465014961,1.9771759355587917,1.998375799483863,1.7573296189789986,1.4472394242236895,1.1457284749390586,1.0933415510874473,0.8411989466781291,0.8344222401774951,0.7711590509081904,0.7068500502583203,0.6848880348922797,0.6382915157042118,0.6346351769650428,0.6160633848090082,0.6145711761154996,0.5915445639858438,0.619572139163214,0.6533436746805642,0.6177228541750787,0.6602635043846338,0.7048324428413826,0.7062798204426771,0.7218748878074569,0.8042531908954627,0.9483012967078598,1.0431322127889655,0.856985868970102,0.8515579219297195,0.6909461786800091,0.7011705506835312,0.9423839145693496,1.2300859076355248,1.1115409473519042,1.2509795031161033,0.8770507257025002,0.8057183406540378,0.7679049100779419,0.8614294462273783,0.9367324532066186,0.8608745314502221,0.8733237931883484,1.102528808432891,0.9789580244928803,0.873589085069096,1.1180433467567514,1.1726432296755889,1.0057605263019673,1.1027306266521661,0.8078281028680516,0.7893004671198953,0.7909728155020574,0.7115656981645554,0.8213896178682822,0.7903240027971654,0.8917122241083848,0.7375624656443962,0.7827591854543908,0.6854543734947164,0.689398497490924,0.6186218918243457,0.6221885572978763,0.6838632585729393,0.6401442622487807,0.666267358416366,0.6487261760563516,0.7991601011714223,0.7275685935445434,0.7118957118064231,0.7105210869969547,0.7026966274101214,0.6859128335598184,0.7128131532999364,0.6957125005643575,0.7127814014821365,0.7403234496736453,0.7516776175696174,0.7288997370497222,0.718163990395712,0.8151694662175158,0.8911533819962268,0.7587669094127097,0.8629207962295026,0.9660189013625279,1.0942386296417914,1.0467502442759502,0.8001601475680836,1.394399958713754,1.3765505493908006,0.9034372700011595,0.941199433195501,0.7818613844911468,0.7896605750791121,0.999499087010951,0.7855683634726885,0.7668557678234936,0.5911319269104632,0.6253529953012767,0.609845482996729,0.6720793964450821,0.5907171883084127,0.5850363125140456,0.5962863980980655,0.566646227140018,0.7322762165984735,0.5687751811395402,0.49523134357469173,0.5060983370121379,0.5577649694011461,0.4592401276529305,0.5261352789005975,0.5246063666909613,0.7183069953429332,1.228378663514733,1.514338756071412],[0.6105400065585215,0.5844547509541383,0.5261040551035951,0.382724831234581,0.452318705314624,0.5084581025990049,0.5045439677576609,0.5161486722891296,0.4949226286165277,0.4366561125392569,0.44291721496364755,0.5169228466336031,0.5098608194032485,0.5023373471953467,0.577993904882594,0.5561450125121195,0.6295812378018869,0.6974679022319945,0.8510430727447535,0.8701640624635038,1.0113762296330076,1.1437990845655999,1.3230758997032395,1.4427175124567169,1.2776487894245812,1.0246291562251237,0.8813861165231165,0.740940698313697,0.6787364712272387,0.5800855384508709,0.6282470536839591,0.5516457537772109,0.5509212175903982,0.6602842085020755,0.6323392639397465,0.6885027952289688,0.6142359288609722,0.7330777566521556,0.7321508667527189,0.8261749499508112,1.0726386229219151,0.9499772435837238,0.9878541390943983,1.1079317165954592,1.5789485506331982,1.9245963297570614,2.4916391440857395,1.5727615972974118,2.075478502744126,2.66909284206133,2.0076536408806254,2.521471652332136,2.3608376798544817,2.018996229233003,1.9375509558806698,1.390466393003142,1.9091864837655972,1.3392159189905681,1.5440656392160423,2.2428463542624444,1.2222172777708422,1.0263313234579472,0.9463213934489627,1.1306601876795623,1.119649017054847,0.968895479908783,0.9437202418725239,0.7946919798111515,0.8691759162109025,0.9777392823943162,1.0504831113517759,1.353960839324566,0.9359926260195641,1.2916681148008777,0.8229121698314253,1.1239161555359052,0.852001868331089,0.807898191640261,0.8209195956500985,0.8998926910117602,0.7480446134680726,0.7881970856221717,1.0302414497463404,0.9010938893823301,0.8191019476246862,0.7528273930421647,0.7570821048547062,0.7443644652286615,0.7599482626492567,0.7091660855138218,0.7392952078510552,0.827020768168454,0.7628987876008633,0.6324786942124938,0.5829389809638128,0.6396843963990786,0.6675089962639635,0.5308059282898954,0.4951233111070937,0.5980416550485955,0.5405518273737046,0.5849813820600582,0.5930892014721852,0.6217815256259736,0.8803188613038899,0.8002632663249124,0.8484224988765425,0.907068929187292,0.7449957885519437,0.7017875020323913,0.6141167230323411,0.5767185767428735,0.5275973644667734,0.5123667937025205,0.5283786817896351,0.5684488335039395,0.7026288649041049,0.8206989378422893,0.9708275887753631,0.7411025567345993,0.7753546312294629,0.5965709676508959,0.5972318518828239,0.48767307732173537,0.45293611761519403,0.47668135106661297,0.5403453670277198,0.6028146407912557,0.6532826907181958,0.7514876124984048,0.7910049717171866,0.8658073925278159,0.956837809890202,0.8612495347961877,0.8474451665918775,0.8665627411376784,0.8742197320738733,0.7915954098444642,0.7038841969023475,0.6763729961095187,0.8551601873321608,1.1278583208153572,0.8546204321478031,0.7359024985700824,0.8118579104737861,0.6591986649926994,0.6183165603401297,0.5686995920055059,0.5148838203742024,0.5084260959847219,0.5663825603572187,0.5371936470950635,0.6659655618491688,1.0508083557045995,0.9857114001862992,0.5579726574794247,0.5222409818729552,0.5383120527765954,0.5267860891538677,0.593535809088501,0.5741146636861006,0.6619368129686664,0.6892592590336557,0.7556335935690592,0.8429254289890493,0.9543884779227704,0.9908813944598573,1.2579654736999557,1.4003893346766543,1.0138899225980427,0.9130472074114934,0.7931419563762915,0.7849584802931016,0.754917526015192,0.7005179855782873,0.6688063302066876,0.6438381635905074,0.6722394742733523,0.7991721268237153,0.7748762578904931,0.8036949343657903,0.7190799542623795,0.8521463299889319,0.9415863841313554,0.9112429751433943,0.9682989044970569,1.0223545910059537,1.561857528908676,2.2446368589658694,1.7938540668454184,2.1630824383509095,2.08966873373768,1.853570348055379,1.5040848935381905,1.2388412472846089,1.202448819399291,0.8937759496014084,0.8959342151893454,0.8360801154829937,0.7425483294357007,0.7612364262749766,0.689623714856168,0.6700631275960148,0.6851696537510132,0.6821250963129698,0.6366695776981983,0.6806697628894066,0.7254243430458659,0.6800869348718858,0.7126728041812196,0.7811899485714211,0.7932370721498901,0.7818592235474834,0.8762433450219184,1.0352357118697946,1.1102539542961534,0.9391775394699413,0.957957544818587,0.8061453524435984,0.8315375553711154,1.0701801336628023,1.2214938287323864,1.1995042356699936,1.2452759873651746,0.9834635061423861,0.9268385577491869,0.8717231667596558,1.0070811058940152,1.0736268536260043,0.9909483454695224,0.9594210348984551,1.2126922653451102,1.073876726001086,0.9919765028522272,1.2751227033814347,1.32503686477055,1.143004038585714,1.1840369171685656,0.8980608008782454,0.8541294249929428,0.8842346941850868,0.7918859783018333,0.8790492396805589,0.8530832938883036,0.9589281630088227,0.7978653336252794,0.8298138390404132,0.7165359193784003,0.7218067682839645,0.6519926546234243,0.6405486255774272,0.686821917350109,0.6676579742567081,0.7131419469361614,0.692407375653407,0.8405012355798492,0.7885503020145642,0.7871069138322702,0.7897424573071806,0.7880994602032494,0.7531191119379607,0.7927680039107792,0.7993529611609799,0.8050807287908011,0.8289118260844516,0.8627410857905544,0.8360613035985566,0.8124889204310662,0.9385270687447959,1.0172397488845213,0.8614826877951992,0.9717816674891867,1.1173448120874419,1.2184860999652791,1.1761301432669138,0.9063142830074096,1.5321451827253825,1.3727677537631644,0.999287735844633,1.0259059548755598,0.8514586190915933,0.8522104947719662,1.0429467137647745,0.8620935396427142,0.8735170464142834,0.6616975141958802,0.7024733033997101,0.6602904375850012,0.7131404128260054,0.6028431489568035,0.6014913443078843,0.6077285384263668,0.5837116433465168,0.7167787557667535,0.556765716589893,0.505153138078633,0.4880217221426724,0.5183252448418711,0.43828246173098334,0.514166666174387,0.48389186544029233,0.6691943647706211,1.195932846397635,1.4817295947070992],[0.5008805322504808,0.496714820371478,0.4674631382380178,0.356654024760367,0.42887335362786144,0.485894733904063,0.5423963870911632,0.553467309469338,0.5607222519088018,0.5731680423835094,0.5911957153458569,0.6245436373220848,0.6557233376244903,0.6508577272549394,0.7425716091575427,0.6940606214867794,0.78805772470858,0.8482983088975435,0.978641463474161,1.0003309613127584,1.1609524725100004,1.2847920752871675,1.4693152875795619,1.5650658276739398,1.3714612152004952,1.1521041278514088,0.9992460713043917,0.8442308906546447,0.7963649348973423,0.7310866230720148,0.7937123238856904,0.70618608675661,0.70980929350843,0.8177594007846635,0.7879992915892399,0.839920217195996,0.7622442304977299,0.8770006495252263,0.8706557968030763,0.9443442241792914,1.1369514073093983,1.0763248796105034,1.1178937211687576,1.223235906098296,1.6423398985751883,2.0368283824948743,2.66387066759135,1.7146499155719743,2.314573154537245,2.7587440183622434,2.251896933295477,2.7555649421843946,2.481561348845829,2.061899995302285,1.9261537351671774,1.515034172407307,2.04498927720436,1.3985046037711286,1.475827743249865,2.440120113703597,1.436163813225111,1.1922906655442707,1.0937161354727714,1.3111208140253472,1.2370900232975575,1.1203552428632981,1.1130675373954535,0.9557556395483747,0.9940052501242885,1.1165577279460777,1.128021792795781,1.450976906128314,1.0783022417221488,1.4004791482537828,0.973616114422638,1.267610293367742,1.0041561134651573,0.9606007386707218,0.9692680445179056,1.031337322178128,0.8799778513926798,0.9125176293133531,1.1232351982896562,1.018444331317941,0.9653964649241301,0.8865921351090637,0.887352030430272,0.8608770783675568,0.91315716879896,0.8689995399948341,0.903817018328401,0.9968881813668371,0.9367337154389105,0.8267384495862744,0.7667141063827275,0.8384191290678197,0.8418184514387884,0.7179235846382037,0.6617394832539734,0.685422269720111,0.689150737567438,0.6639456692432409,0.7304487367165606,0.6743100307396668,0.9136544301787638,0.8657905810703126,0.8896568957639249,0.9497305483181211,0.7984277687877561,0.7722589300154576,0.6691690969976792,0.672706331021614,0.6267623671038948,0.6183574566245539,0.6660353570810416,0.685747074283273,0.7779842954432701,0.913927400957952,1.0332575666501715,0.8733821719129572,0.9019468387696727,0.7336387548719957,0.7171275304987692,0.6400091251075816,0.6056961952536843,0.6227653005123479,0.6084366406155635,0.6777576406678841,0.7051979047091959,0.8283565552416289,0.8440486755701141,0.9295938756625187,1.0671023309537477,0.9595507218480204,0.955887260323201,0.9525640993038292,0.9681199651776667,0.8937276858508774,0.8002209611633375,0.8891202547729767,1.0114440946895369,1.3184741484901106,0.9397383497743289,0.8334773921668374,0.9255965850420838,0.7692242266703264,0.7240543041295628,0.6965148742651982,0.6408138454020116,0.6214818223869815,0.6344931881197041,0.6064868964673676,0.7094230407072201,1.10951745420747,1.0550195321218807,0.6548407769705401,0.6394979728834504,0.6113959524936325,0.6516154700135312,0.6922521888245073,0.6969402637177522,0.7868157187439115,0.8225861941825353,0.8964297022359612,1.0114843301647543,1.0704384719011892,1.1950630333357346,1.4940255771788606,1.5657435689442782,1.1958455717105587,1.0550363282738258,0.9173447127579448,0.9182620954874683,0.8781246688160479,0.8255076507665281,0.7910757888347365,0.7768553557761311,0.8040150860992068,0.9391765754432954,0.8982445913971956,0.914121414154864,0.8234635000059802,0.9721971621747311,1.0876722721615866,1.0628063096360032,1.154836430038501,1.1451931174154601,1.6632584217835498,2.3184361935591564,2.0074495625158586,2.4689692804682646,2.4514385972648656,2.105625447920708,1.6849585706543573,1.3834336573955546,1.2779322049239146,0.9243502112340538,0.917765050376513,0.8325697837814501,0.7621744383104181,0.7374397663549275,0.6772199861353522,0.6643238812597353,0.6437304866958588,0.6339154284719142,0.5886747333828646,0.6290497820131727,0.6694559457757356,0.6133226991096083,0.6417685703703618,0.7133017417553905,0.7250905244772761,0.7211454857082982,0.8231241220481254,0.9968822829175764,1.0728506171193337,0.9154141607238858,0.9352743828058075,0.7552503368496108,0.771215632027385,1.0285806554089083,1.2226482234767984,1.1658341712259506,1.2282516928582543,0.9389020223620873,0.8792731382671211,0.8354689514051813,0.974501887920577,1.035283280331504,0.9553471743581909,0.9464883688571734,1.2050662689799037,1.0504111460670718,0.9725977915965837,1.3028355904083737,1.3000240491030288,1.1207592640560187,1.1886038436384652,0.8782708912729431,0.8842056910854853,0.8961721656524961,0.7832506866039619,0.9070857618427599,0.8474316043693163,0.9590030915349858,0.8019288804657898,0.8185416762385549,0.7219274783923343,0.7099348675101957,0.6177045074182661,0.599004563128716,0.6559126354655641,0.6105119492620726,0.6501363090723116,0.622774338583099,0.7825185704915694,0.7152758858639114,0.7135291431621402,0.722030193177116,0.7097381413996168,0.702862834647647,0.7491056347987629,0.7325639841114416,0.7414772077747436,0.7818317131624588,0.8108589178455492,0.7823698907746462,0.7645776975749108,0.9026624992493145,0.9898306552446181,0.8324026573784086,0.9446551137521408,1.1125444204756143,1.232353334523205,1.180835894917221,0.8938311710139152,1.5422623406190699,1.3552032711922195,1.0114190609756761,1.0073984769371678,0.815193190899634,0.7978001593474239,1.0019697552925773,0.8110499934622593,0.8479236558444256,0.6341532499577098,0.6636599498812806,0.6264612770285218,0.7111516436465728,0.6005190375484729,0.5673071996861095,0.59561908685749,0.5405854642983944,0.7314079326114897,0.5438503731146259,0.4604814375873692,0.4642747990673105,0.5043962355606614,0.4077270076460922,0.49726467120565043,0.47019173636104294,0.7076774212232209,1.3557253682988755,1.5774848241070472],[0.6076456898412542,0.6189581317358821,0.5796008388485449,0.5067790522852634,0.553030247566332,0.5813080242968013,0.6115194187367223,0.6277558786963497,0.5837853239944206,0.5471012484040443,0.5530948403342761,0.6107044478590921,0.6181805835804127,0.5857893572892753,0.6636127570457875,0.6322213321115513,0.7060375281624369,0.7602690363732434,0.8940333206662651,0.8938864328205449,1.0224694758021133,1.1396483846194583,1.3054511463947285,1.4036497572172952,1.2501697196127322,1.0287566117653468,0.8908946501185807,0.765733555166885,0.7199228525658538,0.6593481377912738,0.7096455996168497,0.6427600284428654,0.6422573811424261,0.7373061370071694,0.7090614303871632,0.7517382981356193,0.6897100890329393,0.7823075768437854,0.7643555835015097,0.83134114800293,1.044186173364704,0.9453204852729415,0.9700063259331454,1.0720782858377007,1.548182996205376,1.8924280931802777,2.4779195238707774,1.523014672603381,2.137400729439149,2.6278198227567784,2.0422495061922934,2.57999916428249,2.389263819713473,2.034852052084131,1.8698405176572892,1.3711213595183833,1.9340491390259633,1.3032279627202343,1.4648129352525505,2.2522340243522367,1.2352310997102443,1.0311221477387535,0.9682430243797796,1.1466777009730849,1.1088874629717431,0.9833389428185225,0.9685507804148555,0.8401903540885175,0.916687602556981,1.03259186329736,1.1052334433806685,1.4214026106371314,1.0037385975972646,1.3521306587950677,0.8836566001963279,1.1689966420255964,0.8939732051206363,0.8567716986654768,0.8616901493633075,0.9170375427505465,0.7840329823781075,0.8130087409624486,1.0743212882383064,0.9532699659526734,0.889228226672685,0.8054686077965524,0.7836010127309407,0.7896030875938608,0.8068295260832073,0.7656294779689651,0.8048499714802477,0.8954300630381069,0.8372465288137286,0.7265381888909545,0.6762517468967197,0.7379290044178913,0.7717997319885029,0.6509507937972199,0.6179288585358244,0.6817729503687128,0.6605814010199753,0.6885467210104921,0.7214062978392309,0.7080112464281799,0.9370618678506046,0.9195785966537084,0.9611699420979535,1.0304059778755306,0.9164972585523826,0.87335000728039,0.7812709850185472,0.7355791469662892,0.6716690252051277,0.6232689338360787,0.6173411724365835,0.6223879849529392,0.7221745051360842,0.8341862847575988,0.9936694720241338,0.7929726706163802,0.830003691708418,0.6560167945532988,0.6387813257238786,0.5848988202792006,0.5948614209428933,0.6570087183361861,0.7510789974640065,0.7657470485246832,0.8091394207031153,0.9011519537858573,0.9372996723188975,1.0064676819018779,1.1137886146782128,1.0001532462103069,1.000601448126778,0.991462000112541,1.055385487743314,0.9275725437439213,0.7854960324440213,0.8099765230036969,0.877153621227619,1.1439273858272159,0.854778100835261,0.7500322079023253,0.8332947052606368,0.6990547357478593,0.6683792882207765,0.661490890600472,0.6387978610825582,0.6353496607051268,0.6885432817474997,0.6514677931136856,0.7651062831928306,1.0749123504274494,1.028373310054434,0.6763943509331246,0.6468882656314157,0.6463534138704979,0.6432107090294767,0.7234178124680909,0.6911262704498552,0.7332104271828161,0.7559758703983401,0.8126450716850558,0.9132956341578415,0.992431094176625,1.1361068002171,1.3993761255566854,1.5604412245808075,1.2260263989415783,1.0721292609174815,0.9005521529753546,0.88410316781445,0.8493369749757952,0.7905478155567163,0.7756237398659566,0.7446847204230022,0.77122652886926,0.8890323500638638,0.8690857434623865,0.871833017617014,0.8369839300369679,0.9606005029766914,1.0536416427581001,1.0261428507874608,1.0660958407320047,1.0525807077887017,1.544286296041787,2.242886841304888,1.8679052498230029,2.325791789427513,2.405412219968899,2.074269107269036,1.6892990321830745,1.3931569657359895,1.293614812410987,0.9903158290327957,1.0018419812816581,0.9333787534322765,0.8922868587822652,0.8619452185974931,0.826544606610597,0.8135503045981993,0.7763195498726624,0.769998210363299,0.7290428850769612,0.7286959666985262,0.7614089362724523,0.7170853672272958,0.706019936741752,0.7393480586325456,0.7327554720567542,0.7401908321674016,0.7928624231528923,0.9368481421591005,1.0545458089087532,0.8788097927800477,0.8833651802088798,0.7573698365822954,0.7584251554946773,0.9652752522549278,1.2877388892565504,1.131054650949918,1.3022793938889685,0.9885784361147035,0.9340188160078228,0.921218475781093,1.0122874629546053,1.0492937895477399,0.9879022545229345,1.0230402482341385,1.2531540244443669,1.0818948848458654,1.0143717146577071,1.3083587259905827,1.2242004118294318,1.1058228290385719,1.2131705558540762,0.9545490720055583,0.994041304353392,0.9961171874867025,0.9151994170478477,1.0470237905452986,0.979187785065795,1.0859951012920896,0.9522145726032445,0.9721225097155257,0.8904064625627787,0.8575948503356199,0.7740519881591431,0.7511914945724711,0.7894605639853632,0.7269555935189054,0.7434666749389969,0.7133418281378151,0.830340001765841,0.7591471696391066,0.7521638192730606,0.775058601194922,0.7943220069991251,0.8284919243699643,0.8719714027480128,0.7982090043897608,0.8086426620191511,0.8641006994220426,0.8501066762878694,0.8140583131963384,0.8292937802826587,0.9172026199851275,0.9672246060500073,0.8572883918136632,0.9497944211957629,1.0635489332245105,1.1490387181301174,1.1073564913581295,0.8749090183330233,1.4713580394709211,1.4132811938847283,0.9216397329697409,0.9656649828264163,0.8321504453534748,0.8121222069610011,1.0109590405934301,0.8330579717135289,0.8150559568562051,0.7135515968733671,0.743977102493938,0.7463796950133338,0.8429508658573278,0.7323918658158775,0.7113561913229495,0.7354449059140469,0.6884386341545206,0.849455220851099,0.6790191116197716,0.6035292719325925,0.6186744301844943,0.6290194160633841,0.5520969982903006,0.6117185774657274,0.5820567117374943,0.8070040842042927,1.4087264678643452,1.6137052614128538],[0.6639431579755835,0.6582681042768823,0.5906001098488468,0.5010090577401725,0.5231204693757561,0.5749061373414539,0.5920973119176248,0.6171220721624983,0.5756505788281608,0.5486047615593074,0.5643846880065219,0.6157808607388306,0.6272195691254535,0.6065889431020761,0.6797697404288954,0.6633489628512119,0.7343427543144585,0.8170961128964812,0.9625096187996066,0.9666970952239318,1.101447355370187,1.2120848201395757,1.3926012853633012,1.5028121986812868,1.3414599116043882,1.1051974430541904,0.9625204678907365,0.8336045136640899,0.7766374195835758,0.6811825203532059,0.7516969620229249,0.657214443344194,0.6692256815372184,0.7765462462526944,0.7426849562409925,0.7970970387878444,0.7146922457363221,0.8294904832694928,0.814626087619683,0.8761045443272562,1.1317339824494124,1.0304647448054554,1.0591506939843318,1.158787398252147,1.6309912345875268,1.9536455500180967,2.5120280843370564,1.6158689265847086,2.0732118135039266,2.6849372430526772,2.015941654442159,2.5112018490100407,2.347797924715346,1.9858244850389446,2.0083261643038224,1.4209569118541792,1.8916500737233302,1.4361904679878794,1.584107013802243,2.2733058153204917,1.2536019205934466,1.0967594829529899,1.0567927316216232,1.2379193665461141,1.2035684889694411,1.0498704628709865,1.0476902101661683,0.9106276680173083,0.9934484867254526,1.0732814576386966,1.1794879207279902,1.482742360443939,1.0748004091008674,1.4466141000176986,0.9538425622147565,1.2161811157180553,0.9744470661034228,0.930667342001012,0.9313675536082486,0.9986217329821535,0.8371946359193166,0.8581907312991316,1.0451523033677688,0.9813788965160373,0.8770998519190507,0.8304436817637513,0.839370846504763,0.8279330130576821,0.8626508663050686,0.8097840755884891,0.8635970505935356,0.9429073911542946,0.8772311350874533,0.757527868117185,0.699153494015344,0.7432996615903911,0.77220652130587,0.641122403924566,0.6023340638001935,0.6717639207699444,0.649376066780535,0.6664140092439248,0.7083187247706316,0.6909640105613372,0.954069186936007,0.8971346023144907,0.9432351122778188,1.013425875475757,0.875495043104334,0.8187018592775005,0.738201886285997,0.6811707398876962,0.6211297310126067,0.569704298913872,0.6095801966438601,0.6285152810139744,0.7736826431675585,0.8838280704009376,1.1012440592405182,0.8596667628138286,0.8786681730453723,0.6907249949166215,0.672094259983181,0.5751200172240946,0.5436928208496693,0.5741917844290552,0.7148915530631333,0.701241400659582,0.759600458148615,0.8637839215671318,0.9028060278401872,0.999157697540093,1.0877971031208584,0.9751325182101187,0.9478203725076307,0.9206659766057405,0.9605883596654204,0.8340771775339029,0.7493091122973802,0.7298217900659162,0.9155559191509111,1.1853742998340489,0.9301357570662394,0.7991760521742496,0.8795378714402267,0.7380479300329019,0.6896415149526145,0.6539151284683005,0.5991517793705473,0.6002809283434598,0.6524881351666048,0.6233012531016985,0.733045490737555,1.0291016786117286,0.9840954872477472,0.6465449954592566,0.622770060997395,0.6293093998364201,0.630699578985549,0.6960073966203021,0.6610484796212466,0.7304508258826088,0.7475050908344402,0.817934652203356,0.9034244335050706,0.9849005562452382,1.0802418559087459,1.3438429647046888,1.5135600030248295,1.0914708242039772,1.0001847543201157,0.8474976643183586,0.8499771488088146,0.8234697547055478,0.7753850226704864,0.7556556910346826,0.7348643596192672,0.7676261749536972,0.8818389596505165,0.8642804038223166,0.8667740057522423,0.8071528942241042,0.9474124360088642,1.0364020271181644,0.9976941974039233,1.034183381387806,1.0364546146880342,1.5751407952079808,2.2304917591287574,1.8434655267162996,2.2622366485784573,2.262953760234009,2.0156145712055924,1.6480897732962028,1.3914853953827708,1.3246259328389978,0.972375249814395,0.9892374587569017,0.9297453803351925,0.8668678843663546,0.8627338803123464,0.8129465731246763,0.7926507875384596,0.7803646759856107,0.7789090208163879,0.731299159792902,0.7454306977943549,0.7814863850942517,0.7384936048711164,0.7351384617502177,0.7822039201563334,0.776258243152202,0.7644146339784719,0.8355277156662825,0.9845399718924376,1.0984424883529733,0.914526589858278,0.943103674490681,0.8118168375450996,0.8168254431199751,1.0207267151909825,1.2540338123970698,1.1746309634748255,1.2661379728671307,1.0164414506042363,0.9792313368612909,0.9455056750995515,1.0637142013389016,1.107443601254543,1.048267726816099,1.0314671683898413,1.2807746616832782,1.10962936010893,1.0452114012802713,1.3603489813617136,1.278816022556186,1.1523049148724187,1.2306110675115454,0.9647426383754392,0.9787671704174455,0.995763027703967,0.9042799050143452,1.0221438198680393,0.9807766938328754,1.0709525231329131,0.9296600798916244,0.9702509316165682,0.8636610691767216,0.834847546982247,0.7642639445395284,0.738649060464095,0.7649848982174124,0.7282443849148778,0.7555072047845042,0.7155821037410856,0.8313900335533421,0.7918259426431056,0.7845691760173563,0.8098499180246224,0.833663055385848,0.8509652503779633,0.8999862347716158,0.8401212364602115,0.8472325268003557,0.8943815274997212,0.8954328456607417,0.8554414262396756,0.860073088619666,0.9676896822520755,1.0099370518199453,0.892824118010181,0.9834100245749844,1.12110433050548,1.2006516685503685,1.1653077847601137,0.9344215006809029,1.5743098334340915,1.4751952682365563,0.9985053010071832,1.0120750579434483,0.8700497341667431,0.846973029079737,1.0521242385662013,0.8956131059986825,0.8810465393485859,0.7579628122772625,0.7737409253168365,0.7437739205844047,0.8255992965952702,0.7018476167501035,0.7012481931746894,0.7130509600397581,0.6790925644881993,0.8254976289954837,0.6573545738810617,0.5931160648041008,0.6001165569153294,0.6165147179174977,0.5368890051526545,0.5924043159378296,0.5758371203906943,0.7963087842378342,1.2971435689100628,1.5797398068599584],[0.6241007063387842,0.6265142226224906,0.5758143726117085,0.48364078318839304,0.5356027059382906,0.5787677344101646,0.6245779369896526,0.6587880144681821,0.6122693893269628,0.6126194055226251,0.634932840422064,0.6778451428277666,0.7099244267055402,0.6776346179171613,0.7682510151678794,0.7483374454027529,0.8374484782675456,0.9206810333648872,1.0633781921695469,1.083732615734303,1.2372207949982568,1.3574420671853957,1.544767108036196,1.6518593364883631,1.4445404646088094,1.2159513507739572,1.070252910949451,0.9193224389698874,0.8726275013151614,0.7877771622554927,0.8628073872823135,0.7650785423348754,0.7722115575633935,0.8971978360401951,0.8644557507935183,0.9144141305455539,0.8437237789709444,0.9583805809365871,0.9520969077173486,1.0274336523105472,1.229337824566543,1.1593657162366557,1.193984726261235,1.2685942162834336,1.6887762512240054,2.0114386678689424,2.6356583272228167,1.761372980482238,2.204229156462735,2.7719710180938186,2.20368369458985,2.6748141642718015,2.4040580128961135,1.9726546084805094,2.062286989552743,1.542224068362592,1.9808817447734102,1.5609133586818038,1.592571642645124,2.471892898630244,1.4328360090441894,1.2515234964230462,1.1991171273301136,1.4231751397385968,1.3315618952793051,1.1914103611199651,1.1938813852708625,1.0431690429312839,1.0996891814650196,1.167401297642905,1.23050228557537,1.5564109449956287,1.1755386053045813,1.5691082718163532,1.0674132293981342,1.3494070607747777,1.108773741105873,1.065446238636459,1.0694881558634353,1.1324820303296215,0.980983990566258,1.0137120527103196,1.1255407290130537,1.1253538791745927,1.0261020543899753,0.9723355088581369,0.9819845987931698,0.9503416348267516,1.0003395125996737,0.9463468723850925,0.9928436994938834,1.078345468054262,1.0079465901467777,0.8863048433047938,0.812772374171728,0.8539947392739952,0.874863154048243,0.7539320743244985,0.705262272132334,0.7349469103149152,0.7572582925625871,0.7622547460929193,0.8348871655858056,0.7874549627712378,1.0473326949636315,0.9853127121199193,1.0289724248685037,1.1011708463157732,0.948076632406986,0.8922084675500278,0.7961270846256815,0.764328812757639,0.6959512400546993,0.6611060092042234,0.6917277608383873,0.7052503944684773,0.8221681849280028,0.9423039650916323,1.159009901614632,0.9488795804479065,0.9557233300231911,0.7565483832790748,0.715058546915326,0.6500006293713139,0.6228689024994979,0.6739989019220455,0.7655595113763072,0.7710961876745556,0.8296333764212385,0.9605926806792384,0.983910102982198,1.1042259068029632,1.2132353562678135,1.1016093409129466,1.0602573303695029,1.0024914693417766,1.0231903832055358,0.9117464842928934,0.8113961755519078,0.867887607721287,0.9850047011857749,1.3260564865474673,1.002804232948318,0.8784959039594492,0.99647524747012,0.8397472867472472,0.7820520454735495,0.7575046876343347,0.7068619227695361,0.685158890178106,0.7202262102413235,0.6795857418748668,0.7849599791648396,1.0514228661269382,1.0250613679950786,0.7218381993701515,0.7061827851036214,0.7126786035360227,0.7353210283271252,0.8075726135933633,0.7849108487385689,0.8610567753333753,0.8767704967600701,0.9643169825445299,1.079271803953056,1.097217425233445,1.2610780713948369,1.5452936449720138,1.6213256091010724,1.1879637655698312,1.1163188489169251,0.9654559818594972,0.9906635484153585,0.9618395458487914,0.9193907915148598,0.896267773246871,0.8654505394559605,0.9199618453125814,1.037522738313128,1.0194953186494733,1.0100362598169854,0.9392899163181256,1.0950960554924187,1.201349468749854,1.1562768866044344,1.207207308546864,1.174315494372227,1.7361432472349676,2.3135279096901504,2.052349426116842,2.519844169259614,2.478828417872907,2.1931202062689947,1.7786435514878476,1.5411075692516207,1.4595360957358428,1.0505159396443546,1.0586697180456994,0.9858970702204947,0.9223212976065088,0.9123275909171576,0.8603361859802998,0.8329038145375255,0.8096400755852089,0.808794396872806,0.7500539931884018,0.7565602291129027,0.7929369488176373,0.7482354501006782,0.7314603063219328,0.7837074262719845,0.7819075967066705,0.7611972683803372,0.8373675737737596,1.001759158791182,1.1097808725816614,0.9249893014835318,0.969028424891087,0.8324751239691384,0.8422545684453713,1.0591065733052087,1.2481250761855385,1.20582109612626,1.2703108035315835,1.0613767935979543,1.0417249954759984,1.0049197993804362,1.1492388060777174,1.17918107998363,1.1161666334945868,1.0967330209900727,1.3496549118398988,1.1678426751624678,1.1183563311127478,1.4702444279601241,1.3678468786579727,1.2209986893489446,1.2957919325828038,1.0174035435231588,1.0513060791348146,1.0731720910335627,0.9632214339297033,1.0905307121819654,1.044695306887858,1.1341780854611352,0.9922710668350059,1.0182960619237589,0.9119078451887983,0.879554155896231,0.7938667497789474,0.761722341676582,0.7803852588592713,0.7386254279324562,0.7691458059268548,0.721820057501552,0.8303260628457235,0.7925819604533586,0.7908943563651128,0.8198660576698544,0.8565048202600269,0.8826113522932818,0.9393281023966998,0.867986867252231,0.8714241488638359,0.9333026507893173,0.9323791349818843,0.8816699229432561,0.8919338090740362,1.0170816925763653,1.043527926868099,0.9185229197531118,1.0230934200528927,1.1816714042432306,1.2518771471125296,1.2190711443478464,0.9669584535135601,1.6349040716685628,1.4571498375312146,1.0257154871267524,1.0286984000477593,0.8801626655205917,0.8497589034774097,1.05285504346825,0.9007688209846755,0.9075543988068185,0.7776449944570822,0.7982355145308025,0.7624671532563967,0.8677024736815762,0.7424532486676325,0.7198652930771167,0.7474373743186574,0.7031279219693931,0.8566532809270648,0.6787291497304561,0.5985704199110599,0.6130786542702813,0.6336761201407097,0.5334044483744853,0.5885237287352052,0.5754469479680799,0.8118546238923432,1.36211604744208,1.6168987353613222],[0.6660970620007013,0.6887305233054104,0.6797700465965497,0.6112074080911868,0.6888544416841479,0.7061683561925777,0.7646551673098478,0.8062393493774577,0.7543432054947325,0.7500889744417852,0.7612449833057024,0.8106139132993584,0.8352583296462539,0.7801854945655352,0.8640802491766358,0.8503222428138036,0.9334926725563232,0.9849538387283261,1.0945629678390183,1.1154048091896893,1.2368247530599406,1.3506891368019267,1.5091995888963774,1.5922367087734683,1.4144768048584289,1.2179943910106035,1.1011615294943091,0.9814093613652463,0.9528369608720824,0.9029492608044306,0.9506679543060018,0.893171366585703,0.8915858127405437,0.9957409875750244,0.9709929040111908,1.0013783175064026,0.9627990960904608,1.034051346824684,1.0350591605303552,1.0925383132944488,1.2465927092682882,1.1655691784643365,1.1952579516638,1.262496940353963,1.667670816132324,2.0207566374816306,2.637352207922447,1.7342648018110518,2.29735142946778,2.739693719502094,2.231899924795955,2.7487138504171407,2.4541104275058787,2.0410907029365433,1.9912454671424191,1.5548160120406131,2.0345089353160395,1.5101020786786299,1.5412495935716024,2.4803799888538074,1.4487431798879202,1.244848364854575,1.208443542596426,1.4007589343904054,1.3059357175092057,1.2103723127576596,1.1969614951488512,1.0749474815898523,1.1247689188455665,1.2082114870360376,1.2640484898966593,1.5907839010980156,1.2157461587464775,1.587146987406674,1.1012950687484986,1.3678096246025873,1.1360143571237138,1.1067834770252207,1.114785812447276,1.1559242249132284,1.0530508021210392,1.0885420458514017,1.2432291958372224,1.2161059404643162,1.1540956068193415,1.0744267470499491,1.0484654388809647,1.0531022312960427,1.0646177614145456,1.0207320240877786,1.057573417047766,1.1255296694038455,1.076817705112638,0.9755881455622017,0.9112486125251353,0.9482206933510636,0.9797577435302557,0.8942113612072067,0.850030102220305,0.8697737365218708,0.9117621212307748,0.9277817445547997,1.0017573064488285,0.9562509169118324,1.1629333682724836,1.1309642347882638,1.163005538579102,1.250290849714738,1.1201083327801193,1.077576525323349,0.9642925121405387,0.9492755484953428,0.8683766911296038,0.8499488861104303,0.8305774079961453,0.831008697395118,0.8995851151561578,0.9864385244230383,1.1697472084963918,1.0059212120731476,1.014778143431189,0.8463339358331876,0.7964048519176374,0.779883438663011,0.7853699925377795,0.887599182371354,0.949893083038761,0.9631269745746207,1.0035054244308175,1.127525135458346,1.148779478488859,1.245794539112856,1.3674298325566399,1.257244219950534,1.241976535202846,1.1870808627076948,1.2089030482746206,1.116791842762044,0.9854807284881559,1.0780322162859217,1.0695824827330627,1.3537156120404872,1.040757943172242,0.9650762290872023,1.069005172193404,0.9468019463576004,0.9072753107663822,0.9055359092009272,0.8904726560430051,0.8520836497214642,0.8845842753671769,0.8416332704233135,0.9495470700862504,1.120786859767936,1.1171536632894539,0.8813180868349285,0.866914339686766,0.8782836363734817,0.8982907920926473,0.9809642295001129,0.9626923946884663,1.0053858214945455,1.0258274320817842,1.087223378136072,1.2134990716362164,1.247954833711639,1.4252290647636485,1.6885429679087678,1.7601504324394532,1.4365821959423222,1.3147777224849357,1.1580839796702456,1.1642942811573032,1.1254804851977653,1.0744276233604027,1.0587869725860302,1.0202955721782787,1.066827430795475,1.1719000652071605,1.153204975536841,1.1537580447586306,1.1084386197102092,1.2341988793382173,1.32979800791531,1.2989853839618004,1.331976814466095,1.2728183964547721,1.7375521028827063,2.374367853115357,2.140111790153207,2.6539368340393885,2.7385502450675894,2.351549862965338,1.9244383966190814,1.6602095596830169,1.5441209145105954,1.1945690379275853,1.207420687977479,1.114933284305219,1.0814436357729684,1.0437966138726607,1.0119785937776171,0.9821905964220613,0.9247067381430469,0.9233125331564905,0.8647996970357281,0.8237619232863679,0.8639779570404396,0.8325924961633563,0.7809297832400164,0.800834124627005,0.7927710427302902,0.7904581528907401,0.8213984241560253,0.9499160267401413,1.0737525194967972,0.9074978244959022,0.9332045441586416,0.8403040849994838,0.8369090326721401,1.0181283596841129,1.3200308846654336,1.1829488733737752,1.3712063158818066,1.1101847391223847,1.0998492259533128,1.1038841787310716,1.2108924647151322,1.2126559023095822,1.1451949377864732,1.2059243840543261,1.4243602098449264,1.2267192540419982,1.192685187830999,1.519388666592824,1.3606298661634288,1.242374787916824,1.3648872006472725,1.1179221231857965,1.2017148001900309,1.2080414959635868,1.115027501008736,1.2636319191365717,1.1889256532772046,1.2866105728547872,1.1642927039629098,1.1641942347091605,1.0824563511591814,1.0410858701822627,0.9295609478642004,0.8971769505640667,0.9105365171326067,0.8413614182015713,0.854562754400599,0.8114885295419676,0.8809375073589923,0.8415327856936531,0.8475468018070409,0.876931217881252,0.9284261375471883,0.980780723444555,1.042962499961519,0.9262877161902994,0.927614822956364,1.011010971955549,0.9745517451597053,0.9184265292158784,0.9587420956208814,1.0495657250913681,1.0563766853230925,0.9512972316926577,1.0641786971523157,1.1818188613498302,1.2235317786666555,1.1841394691083187,0.955564470638688,1.5635099198845808,1.4638375774401962,0.977033854061653,0.9990490313181001,0.8865114217652362,0.848124186852688,1.0381971647227808,0.8887321352754772,0.8773832910528193,0.8132414334635848,0.8558875261546682,0.8669432893182889,1.0020445661354196,0.8953170836115902,0.8469442109043743,0.9008871527003782,0.8503779454582375,0.990777766512486,0.823772828950286,0.7370075571821201,0.7703542905481292,0.7775183256234967,0.6771559824819275,0.7213729257891068,0.7359339754561598,0.9649572064832023,1.5605701868819637,1.7745129976909955],[0.8048024310057997,0.8044927460888344,0.7678196107402249,0.7081962101276087,0.7509178304872502,0.7846372032721075,0.8306460900844875,0.8563208108562905,0.8109669524624703,0.8016118768909036,0.829849200923677,0.8479830088588559,0.8671954511213753,0.8520206683974733,0.8766594868287922,0.8505392260118766,0.9121911713845063,0.967161714025097,1.0839965644173688,1.0726625109175474,1.194807227165799,1.2852216867381254,1.439163610947679,1.5489439457241487,1.3910694172430629,1.1838627066357794,1.0604415995125789,0.943899665412183,0.90509157710774,0.8348137663024063,0.9156576892581035,0.8166869685726007,0.8500768337761327,0.9053306004981031,0.8780896360008023,0.9187871613136854,0.8695196562588228,0.943274614134976,0.9228113427888576,0.9771932430478549,1.1844176685956893,1.1066507663096292,1.1158601977463953,1.2149313897972875,1.6931205250619266,1.9895806121674255,2.531637732429499,1.6672041620203866,2.130987907908803,2.7206908134876526,2.044759220104692,2.5454895397951836,2.3527365119100856,1.985251511944534,2.020368924584176,1.467388305667231,1.9241087065909646,1.5237574121203201,1.6278206756241702,2.321403259549987,1.3107727354590504,1.1823733028253016,1.1596762917983312,1.3255509758061659,1.2949921626263525,1.1396199031772745,1.1599210503451756,1.042291377538416,1.1497238819512896,1.2161448083944573,1.3839592538802528,1.6564760362638355,1.272349451827674,1.6106286140645691,1.1034008023515642,1.3475667921304237,1.1025106933457895,1.0570271404728024,1.048585979121469,1.1030791335710755,0.9517696992956606,0.9720096404840097,1.1305194172668482,1.1269376923343208,1.0149501381177937,0.9643304187233381,0.9505439876497308,0.9390631552130345,0.974228368256216,0.9383451031311487,0.994221266100119,1.067430619539434,1.0314828005550982,0.9381853951384617,0.890598639993853,0.9495792253961571,0.9846681688358638,0.8343672875718167,0.8243085158589697,0.8763021519650183,0.8456230736565671,0.8774073976937238,0.905332197069555,0.9047012920146426,1.1389848641692195,1.098803606094761,1.1596838342519702,1.2632296778381897,1.1296850493838,1.055564130606135,0.9582397074156722,0.9054238047188924,0.8520380903684633,0.7835270353731411,0.8094049702321936,0.8012839973414871,0.893054743969304,1.0124278127643558,1.2344581642461283,0.9946732807210349,1.0264079672560917,0.8979575971606414,0.8865916296196383,0.806084072264543,0.7913514710157893,0.8380011306631929,0.9937147304924518,0.929656345471492,0.9973238076002021,1.1105127786569278,1.1754720962728973,1.2820849932792995,1.3819762001358042,1.2428051518281977,1.221238377013799,1.123132930791131,1.1948305321628283,1.0198769552829343,0.8683581489132357,0.8854265478114823,1.034474239933408,1.253933418236345,1.0181267526353395,0.9023394402517763,0.9823176517219869,0.8679069766138676,0.8350898081816831,0.8267962504776202,0.805775356266042,0.8223841452130696,0.8675090565866873,0.8407932046344239,0.930918096435505,1.1412680783609495,1.1303699503293971,0.8739122435074178,0.8517427914033587,0.8521444037596013,0.8251674860776622,0.9225654356414302,0.8642694983082242,0.8925677574734088,0.895209573348447,0.9564943972673058,1.0710907914165249,1.1275626590291004,1.3244961908627362,1.5888858609696557,1.7627357219205715,1.3781121380714416,1.2687011679404778,1.048706507629015,1.0522092964909642,1.0168329265440113,0.9632279959097457,0.9597515542476562,0.9050638364749987,0.9620902247798335,1.0561022209117288,1.0662736154274355,1.040236802001485,1.0304672213020607,1.167898110353163,1.2655151043965385,1.218522522406633,1.2128664911726983,1.1460344018388398,1.6681779028809736,2.309756835862936,1.9892346318660885,2.485629853233441,2.5634521847324105,2.2761268387421985,1.8920028199132906,1.6529959791274458,1.5779030538030334,1.2827048696988463,1.3040934609660384,1.206343525073416,1.1453730192750857,1.1405077347587027,1.083475485431245,1.0393890476962973,1.0238045521789008,1.0224069423347537,0.9459746386815682,0.9108328857817075,0.9596913728095385,0.9285646053400413,0.8651974770664476,0.8882785367696437,0.8821377161327836,0.8601720685157589,0.8944094184569914,1.0120248498017201,1.13614802032846,1.005138955700412,1.0257559846576116,0.9489322991056537,0.9481151363734331,1.1002542924376937,1.404206946151614,1.2668742901067442,1.4433259464708352,1.2012366651914907,1.2072720408925646,1.20737130666475,1.3298641734284928,1.3148469166167744,1.25149596413203,1.3090650713521275,1.52498083230913,1.3305016932847789,1.3073894211890535,1.6513250570872693,1.4517417631136003,1.35065969156795,1.460726414640354,1.2263222576436088,1.2894013252306094,1.2981445124885187,1.2117673743157218,1.3462474472298713,1.2749235878064653,1.3445103528092333,1.2428902902636474,1.2531306014025607,1.1386176320457306,1.088417815214782,1.0055449201459212,0.9659949422476741,0.958647841675096,0.9178609720477454,0.9386305256067671,0.8886026182086524,0.9496942988332223,0.9257759594695593,0.9391974855431755,0.97597376202035,1.0426791317890247,1.0833228765339413,1.1631547252229038,1.043602947428305,1.026115102688403,1.125462051535492,1.092026765422842,1.028955754683479,1.0774897706638262,1.1779010826044352,1.174211995186175,1.0727175695854505,1.1844339315763708,1.3126643055286007,1.3262914310185885,1.290498315663244,1.073793678114359,1.6496972935139718,1.5888836563517057,1.0924263980533666,1.0641620103394207,0.971254571303493,0.9243893269741784,1.1067505573322054,0.9844188605246165,0.9665117211393026,0.9430581688764267,0.9748727487184407,0.9484593441901484,1.0693375890637105,0.933526204031297,0.9108613702510762,0.9334052248310994,0.8985210786000237,1.0121875208868512,0.8647665361168262,0.7952743500980237,0.8307572343906955,0.8464073753472979,0.7591512876763084,0.8029740860734126,0.8014722174338167,0.9920046491549781,1.4563384006692017,1.6940849476915414],[0.8390345776531478,0.8432261636352483,0.7958552311873631,0.6855684578564535,0.741087976993159,0.757414504717768,0.786472031677879,0.8399537180186852,0.7505516066852663,0.7396564227267383,0.7654845004407428,0.8122630101504857,0.854502313474132,0.7950180381735804,0.8807346754679106,0.891831876668673,0.9522993939737449,1.0439331001232306,1.1896436858028143,1.2034729222487097,1.344645887036347,1.4535409093904466,1.6156103716071684,1.7295135242281403,1.5288821793529623,1.319872623158001,1.1930307969343252,1.0539430811512052,1.0085384649901914,0.925913715238991,0.993814939671954,0.8949457631314616,0.9284121764975771,1.0180151516429616,0.9925545804031045,1.041677842934297,0.9874442074403551,1.0839581423534235,1.0698967914649782,1.129949039755163,1.3427510600624317,1.275593215195748,1.3011886627347893,1.3910856878589013,1.845334184800957,2.1051772372825974,2.6768726306819,1.8274676090256856,2.1478160936849187,2.784108412886316,2.1398284576228055,2.565919883907174,2.384073671863863,1.9744098082981105,2.21265827970831,1.5998768974918023,1.9422930577986746,1.704077422844983,1.733835471039847,2.4758410449494703,1.4502352911404726,1.3423370431661215,1.327321311972397,1.5268411018007377,1.4570927089660717,1.2972906719509085,1.3039556640025631,1.1609469110171085,1.2330020853601351,1.2573875328119986,1.3694599161106837,1.6689003415816694,1.2991504646954357,1.709331373681138,1.1885978297549928,1.4658221170884462,1.2399812066481697,1.1967214430046862,1.197212847582583,1.2636201524903439,1.1009208076306982,1.12278199271817,1.1862822500296526,1.2564274924442145,1.1220111010248488,1.095187613377883,1.1050667384141855,1.0606210458590326,1.1179378288619233,1.0660069377795887,1.110955935037291,1.180715048304347,1.1077520786248596,1.0059387285241312,0.9355166041129656,0.9595482369261199,0.9549207800642046,0.8650256937698847,0.8459072799133116,0.9090355465889033,0.9092731317386298,0.9269509874351188,0.9733880177318236,0.9782134087616986,1.2207848709875644,1.1624714125346975,1.219091772571889,1.2988429107003572,1.1613651387414843,1.0807338404894669,0.994556184334606,0.9368666474790146,0.8561016054016931,0.7999495400366368,0.8099480359747242,0.8090743465959321,0.94638988033106,1.0537026949318757,1.3225817277361904,1.072453964712819,1.059349537597441,0.868685974700815,0.8170680867218668,0.7443928677874713,0.7247043922061643,0.8011023678607264,0.9684167899785622,0.9360050375434273,1.0303893948371452,1.1566436688767303,1.1896003442988377,1.3309003587060004,1.400327706623454,1.285743149288813,1.2133384472310302,1.1033404870194814,1.1342828071426048,0.9726798061004253,0.8831766388599928,0.9235213323566028,1.1120949205236288,1.391312316636711,1.1282403576111506,1.009908196634118,1.1120170684848447,0.9801844376652568,0.9186736364050035,0.8930999998871879,0.8477121241841229,0.8381286566674907,0.895579248828857,0.8493766429106934,0.9330547706070311,1.127497531132403,1.1243555292941692,0.9039737105258607,0.8794641570186735,0.9019431474035005,0.8827410860421303,0.9837053228345518,0.9331458441208008,0.9881332182862668,0.9887672049053053,1.0689330855310009,1.1572452588115374,1.160340582942788,1.316899184798695,1.5591250656550986,1.694622969497056,1.2000590200625911,1.2076951106525178,1.0505481313545322,1.0970189089901858,1.0852219269786738,1.0495760870044948,1.0429767368594933,0.9873601673960903,1.074839227621962,1.1502725422486952,1.1594661045579162,1.1235393104936824,1.097166995612355,1.2467413675465295,1.3247714594710642,1.2624191469815655,1.257042908169208,1.221617541163782,1.795505606149658,2.274073446905642,2.0357627301055023,2.4781133511191937,2.439428523150114,2.246662038221717,1.8803968111165459,1.7073661213281663,1.6539996364411824,1.2437627817297563,1.2751135878821618,1.2324847354915893,1.1649771843953987,1.179933514778015,1.127413928243049,1.086298503510327,1.0843471357940442,1.0913131488118535,1.0121281469312895,0.9957836634705468,1.047178012461033,1.0171404070419268,0.9567599010060693,0.990091334013126,0.9882504800605523,0.9541995423344374,0.9837547414065874,1.1340522817783816,1.2352751160022881,1.1035719976840181,1.1575638059180888,1.0743993118227826,1.08241271399193,1.2279635110969453,1.3920665527899259,1.3672202017100248,1.464414488828638,1.3109566509369937,1.2978415808818031,1.272308974601965,1.3964470295692326,1.4163140583461338,1.3499669083488117,1.3455654509813526,1.574770518266571,1.3932825608739339,1.3623156781980443,1.69484681372225,1.530381619970757,1.427622570672131,1.491916870537413,1.26059967302148,1.2841919529960062,1.3240279319907855,1.2339321931972231,1.3489470032950481,1.3249180001277705,1.3750799639922036,1.2665469094196697,1.3129988710979759,1.192152521095197,1.142186096691554,1.0658173899253514,1.0318349030935747,1.0176430803141177,0.998239467547354,1.0320369209641365,0.9708950322540004,1.0231472890557485,1.035152737964929,1.0511841757401288,1.0904354003253076,1.1406305002196173,1.159065070447949,1.2465203560723945,1.154529643125691,1.140998308513913,1.2044855013875058,1.1914759084069155,1.141182151657803,1.1588041834483975,1.2646429087886493,1.264997291937071,1.1650282692852025,1.2466159646957817,1.3921070963859563,1.4288142679998457,1.400679508937763,1.2038624132931968,1.8071114303484705,1.6536956459858214,1.224964483206513,1.187716813599618,1.080465522943326,1.011111972326126,1.1836302065169264,1.0991135531275926,1.1011491292505637,1.04302161986941,1.0685007128145587,1.0098649709769527,1.1086984279686496,0.9680273262754672,0.9586115723166374,0.9801979975219074,0.952647680447446,1.0446394574396736,0.8988387936449757,0.8423546240912537,0.8486006331770648,0.848606024842895,0.7509409625727482,0.8015063220715671,0.7989507186473096,0.9634600489794917,1.3550974443356372,1.6531307851493038],[0.9365119912835155,0.9290541831756423,0.8569600342616083,0.7323278977768328,0.7716014027380802,0.7802573540227938,0.7705601993774607,0.811196058091404,0.7479312020547112,0.6995693342535132,0.7154056781234827,0.7644254511724482,0.7847252598894554,0.7580686381785687,0.8377805174472787,0.8309247039916549,0.8853369461782565,0.9764833416813501,1.128998919300691,1.1401974936989683,1.272374809336097,1.3799708835510567,1.5431795746391521,1.6603553947301817,1.4924978576962444,1.2621546826206207,1.144650216138691,1.0113738588785415,0.9573891025669381,0.8655073246443569,0.9230559248724881,0.8314480862599777,0.850107699899995,0.9638234495903741,0.9320647736901513,0.9798405660495095,0.9181010688140985,1.0290559819799745,1.0175778214556797,1.087019974177169,1.3311046633013057,1.2335388788320572,1.2557339745872316,1.3402555712691977,1.8464065836535453,2.146691794751937,2.6414601878241277,1.81264412842252,2.0985802878261364,2.801864817243842,2.0084956640860567,2.4171588680882348,2.2518274722146194,1.8884016767805554,2.2080991000573937,1.5075274128774012,1.8299061907552576,1.6589490682986463,1.8074419062548561,2.32318069353832,1.315127717590016,1.2417318347731903,1.24071421186746,1.4205180331603386,1.3774818613259041,1.2073251515066967,1.2152443433823896,1.0803034699874146,1.1519812347227851,1.1831241487665862,1.3289282823731023,1.6032912678803903,1.2225592885045378,1.603518859420374,1.1207298840440598,1.3445265222310239,1.1478978708874235,1.1021028481461321,1.1017864552488357,1.1665279752921895,1.0285095363474712,1.0601168376726484,1.151998290113452,1.1527534845505003,1.0022645155336898,1.0015404603615075,1.036180103507604,1.0128140929969667,1.0317213629091793,0.9757987249785326,1.0275076380105173,1.0726827951958235,1.023747703805121,0.9083475014103851,0.8650318173256346,0.8886317974000406,0.9156307224114295,0.8175355290059334,0.7963973698848589,0.8596851459809469,0.8083592659906428,0.847318535503549,0.8641628983314344,0.8918344213970565,1.1451034904300754,1.0808546046056482,1.112601006838244,1.1669708366166456,1.0493970314612888,0.976695600108582,0.929202688211762,0.8592882769394506,0.7999459824714441,0.7400955143745278,0.7581464588403272,0.7631069270921741,0.9128343379912245,0.9978700259664623,1.2640246756765676,1.0099077667287049,0.9909843653142669,0.8174173999878738,0.7914976862189006,0.6958425495136602,0.6677228284388411,0.729808637722199,0.9152673471878183,0.8700353731517512,0.9281489970394506,1.002182065887861,1.0532663271346525,1.1543698570396188,1.1883789092463317,1.1038432322023453,1.0438460571742865,0.9797413232984615,1.026703904527477,0.8994132779217024,0.892446255336373,0.8297737516978968,1.0840678783364976,1.3554991727514116,1.1089898207262574,0.9841928572252023,1.059019871399243,0.9317490928372643,0.8632549697434461,0.8333708183168437,0.771004069391201,0.7876513092258267,0.8400852205013364,0.817685159290509,0.8646094480725219,1.0592995864926191,1.0845647658437287,0.8326507618001306,0.8166477357318079,0.8315617649989333,0.80985428469627,0.884229115909517,0.8412323712554006,0.8949162037479003,0.9103860202560202,0.978407902188304,1.045229575818994,1.1212690875807383,1.1169965954340355,1.309604075739126,1.4623334461207467,1.0272888427288243,1.0353029923305128,0.9387533802123219,0.9690378323812591,0.956409617426211,0.9283749939637079,0.9278689415386491,0.8891486187569885,0.9648162460708891,1.028677073077979,1.0243617142376475,1.0064064328814823,0.9678077285765513,1.0866033584142494,1.1403312620441588,1.0902806372320593,1.099146851511333,1.1761323198951825,1.6663579513574076,2.3053224000938957,1.849566495043052,2.1598850779967655,2.0896135897978785,1.9518731582006037,1.6348113991291362,1.4565238466193753,1.430882575957682,1.1053395131490797,1.1317891634982733,1.1395535610107095,1.0672302673923448,1.0947080263180933,1.0589644653866725,1.0341289897600874,1.0538156176116613,1.0617784280875686,1.01008439151493,1.0270671334512007,1.0745257178456666,1.0326044653325799,1.008810325385882,1.0552705915528562,1.0532012634099703,1.016862342472287,1.0629198945838572,1.2055192134057238,1.2987295614751917,1.162806317287735,1.2072276963934088,1.1124693488479542,1.1189487341421334,1.235929936220844,1.3701245370977393,1.3616735474702881,1.412173233210987,1.2507561581903597,1.2073357493902839,1.1629996172952615,1.298027751362135,1.312510420153718,1.2549757037950973,1.2347994435839262,1.4454994176753537,1.2788241603272323,1.2496862071971266,1.5578470109640268,1.4336072546618224,1.3428996207879513,1.366070135311407,1.1670850435666784,1.1414235888445639,1.1949764792896067,1.1235761948322969,1.2307182931711502,1.2215377163579104,1.2735922848455372,1.1772305500855091,1.243930317070903,1.1321036398904138,1.0904598443846543,1.027950372249398,1.0057202626044406,1.0208273221026627,1.0176239800764286,1.0449092463799052,1.0021250428576705,1.0696066850390722,1.0845433874014792,1.0852415651204832,1.117828791962123,1.1361159653944917,1.126673694119394,1.200204629521257,1.1422576274338172,1.150777844762479,1.168750221871802,1.1671337903965022,1.1422904459653551,1.1296754354608987,1.2156714985159265,1.2521640535519292,1.1590756502630972,1.2004910557604143,1.3381916626262509,1.4148518735618894,1.4103588387703607,1.2301052222883233,1.8231628493189012,1.688040399660062,1.264059142344946,1.2574835894357415,1.135517343127749,1.0898857369261776,1.2588585382958515,1.1752760533040352,1.1603922409570169,1.079559679493429,1.0715573169968615,1.0178766975484344,1.0535921948689753,0.9474853432917305,0.9688632024223456,0.9530436060090579,0.9347874146317134,0.9997877324217213,0.8927352410308322,0.8605318003710829,0.8537275221378037,0.8514851066356244,0.7884475660099306,0.8324377234754111,0.8243758114769386,0.9898242669179955,1.2982964474946246,1.7009704203225977],[0.8589337256720573,0.8437826186965708,0.7777887176872524,0.7221890757052372,0.8088967252519585,0.8527472050763104,0.903812917966525,0.9467616387025134,0.88556738357144,0.8732191592543203,0.8973385412398905,0.9329358798032497,0.9843866724701292,0.9332163146274849,1.0078993515877719,1.005551499804663,1.0730412326641527,1.155768344157553,1.2885289908042803,1.316951142933308,1.4712961410222403,1.5637678662645644,1.7469251500819667,1.8657536590913353,1.6404374033097688,1.4348179293047714,1.296794950773952,1.1529643880346754,1.1212390248701611,1.0485346282320738,1.1086487645058485,1.0173593692299006,1.0334652583839792,1.1249524899240653,1.1110260078051422,1.1416701576363637,1.1185573552203272,1.1948455095536736,1.192735454636555,1.2615493920689989,1.425417617529186,1.3736961742913798,1.4013628695056828,1.4789729555155482,1.9335933358657524,2.191400142423439,2.8230970462495657,1.9944576101108582,2.2730394892908063,2.9291113508514366,2.3395292329702935,2.7207679208657867,2.467695271003914,2.0322415043266266,2.2795188033594744,1.712432772146758,2.039170302303151,1.8244359896934577,1.7645957298836823,2.5911102726175446,1.5899149919559021,1.4814299292526822,1.44878699075694,1.6368993682367858,1.5535885364356117,1.4260177566224772,1.4575686545730617,1.2875663209858508,1.3136385967010422,1.3615587154629296,1.492713598862201,1.7834891918653804,1.4153221134820604,1.7400730170032028,1.311664782515576,1.4956290810108472,1.339932272254556,1.2986475922207517,1.3059548181419924,1.3770730838970717,1.2306492293287232,1.2397982482793415,1.2962803705416877,1.3492279543525085,1.2660903398975405,1.2276423940113217,1.233668327329809,1.194342197965461,1.2222900864426984,1.1768375222233292,1.2106567956562737,1.2764927858467798,1.2179840337483248,1.1044613450964844,1.045840252251418,1.0684801766468015,1.1046668545978706,0.9831670334535881,0.9617096349359361,0.996856808926449,1.0059381154459484,1.0515718146322346,1.075404056379479,1.0711756203625311,1.2984955553461557,1.2672144724115082,1.311139573027009,1.3715616998312863,1.2294014364248038,1.1653129559391737,1.0700838586612906,1.0507538971708135,0.9781280118504251,0.9426039396059539,0.9531993377711651,0.950389092161992,1.0521765877679488,1.1363231593575793,1.3614319147624911,1.1663461622220088,1.1465710964607605,0.9702134391282469,0.9384300774416385,0.9080945020008583,0.873358200771026,0.9247043177754937,1.0021378604168178,1.0473921958367667,1.1164425952725077,1.25392855056201,1.2631736268165312,1.416913481720624,1.4878954762188359,1.4014839719384082,1.3164215843661715,1.2354891022818977,1.2138784628522858,1.1054593279348512,1.000318516662979,1.0787932693660154,1.166046558960199,1.4914897280561794,1.1859247988506485,1.1020394883168967,1.213000635914472,1.079513046055002,1.0390006761829647,1.0266063204580955,0.9884757430243601,0.9663017274783036,1.0047602568885265,0.9598760776374547,1.0480012306101432,1.2197618664618501,1.2267223195277677,1.000752220312226,0.9929206458791556,1.0254725572681211,1.0053132029142329,1.0944978650200452,1.0665607104595447,1.1117951122243122,1.1166821739028525,1.2028192622527958,1.3269328688316993,1.2822703475092985,1.4571137134825813,1.681221444440849,1.7555749420444984,1.3025538534610586,1.3186268624038626,1.1856223481946826,1.2438367393649934,1.2316742539761545,1.189711530150582,1.1710728556265695,1.1048186392344104,1.2256081456574588,1.320919885848987,1.3133669416010356,1.286570607365235,1.2270074030465623,1.3956682403700509,1.5077909994188239,1.4282776849887306,1.4498403182504334,1.3745128251468497,1.954401064269167,2.339463979948114,2.168481391137218,2.5659390096780603,2.4467368202481143,2.2845295686814175,1.9476924233562494,1.807671968537765,1.7423877130691074,1.3555760671535615,1.3784899865252553,1.3010290008223853,1.2191559434468835,1.2282820200118765,1.167167080816214,1.1174992814065479,1.096838055800134,1.1038598602301535,1.008237510471184,0.9796026167559028,1.030734862472791,1.0037629145830393,0.930819287467155,0.9637671292483685,0.9677328597652736,0.9383146824843456,0.9776768701470856,1.1453315090790273,1.240944649822312,1.0946877952016947,1.1502895389072678,1.058506183406448,1.090974097217251,1.317828575663082,1.3886429367296276,1.4822578809432763,1.4515032267726697,1.3609674159267546,1.3932133664322552,1.3567552439062291,1.5430470271336065,1.5517013793633352,1.4714886985507727,1.447765495379701,1.6777120085381425,1.5051019698931831,1.4936186675329803,1.8848545098694132,1.750744609634624,1.565593566218318,1.6220313214632018,1.3466973162312927,1.3766615235510844,1.4165856820236278,1.2948080927974177,1.3928435259860683,1.3770083322573679,1.4271106363549297,1.2937770608367967,1.3016457756047792,1.2235149342901201,1.190726881256271,1.094445281156783,1.0550778183033316,1.0384649223422397,1.0033062705810176,1.047837644461913,0.9874110212117813,1.02231775166466,1.035707887020499,1.0472769191613243,1.0714258318263192,1.1541807490292597,1.1873659771840908,1.2618522799139853,1.1705687921182144,1.1383792059892948,1.2396909631859825,1.2303811699736353,1.1624852522965445,1.1914333302681575,1.340382260274652,1.320918743536729,1.1781460718595855,1.3252919362223632,1.4938956287757108,1.4854821510171465,1.4419053027830173,1.185241067118124,1.8376688950914701,1.563440440315293,1.2210251138155335,1.1615654616562259,1.037477550235085,0.9931678812730835,1.158193403890177,1.0575378098245918,1.0771650193532631,0.9985780947533355,1.0420033380486053,1.0121031490658645,1.1441644304925387,1.017003631516808,0.9778898954111598,1.0240253289870624,0.9870277709894205,1.1020095544648025,0.9554734231084689,0.8515467389169904,0.8764627199314792,0.9180522383223629,0.7847484071817055,0.848412908874734,0.7890961806815673,0.9203245962617046,1.438793206850301,1.701563751063556],[0.9484691530800594,0.8906000470842099,0.7824085052293698,0.6349787486783806,0.7169055760965255,0.7568613386148152,0.7323713971934477,0.7786233701001962,0.6991773840118113,0.6484779523457062,0.6620774522195446,0.716160183161081,0.7455067241227799,0.6898642384861504,0.8000999177048169,0.8262026100868424,0.8694813866518596,0.9833839153824412,1.143945419121909,1.1876207345376768,1.3290746296509983,1.4328785655687875,1.6157752885393888,1.7541282975842794,1.578986342719295,1.3174203665972761,1.204387314716104,1.0594299645243892,0.9981448659880482,0.884114039567576,0.9163514272871358,0.8476427187836585,0.8687037416851205,0.9775286671993074,0.9633103610004573,1.0169194821945955,0.9632684918976684,1.0902207768286778,1.102775962190445,1.2253459716803679,1.4340635770336567,1.3110479280017089,1.3634826444049308,1.4806284051645275,1.9774231780044236,2.3447877566146795,2.774987497442328,2.0263283253574875,2.2716178766406707,3.0028391278751165,2.118128001895183,2.4313362499460704,2.2612380758133352,1.9313166005030782,2.344537407249384,1.6454073746351423,1.8735781210494498,1.8087846481615713,2.0024839135785593,2.367903818470041,1.4048643518602044,1.3485026347073854,1.302201765037151,1.4990270649836788,1.4605892680810315,1.2780541313911689,1.2404285204010044,1.1052979235412497,1.159666898423642,1.1668234211410082,1.3275273254589535,1.610087460443259,1.2195476229423288,1.6354673874414891,1.1279323574111793,1.3500694953383596,1.1878358055067886,1.1415628729743068,1.1592023659460304,1.2467967076347957,1.1227169072739935,1.1712041769637345,1.2338110598106702,1.2532567555336693,1.1091775942027913,1.0859067840588883,1.127503001425142,1.0833881196232769,1.0836837592362014,1.011366155546238,1.0497063111867535,1.0803031174059297,1.0246347320152376,0.8979685396875502,0.8432865599797865,0.8461433128189555,0.862640966308312,0.7715380574277148,0.7543158452017256,0.8539686280022257,0.8178812255966368,0.8704291347831952,0.8833185104949138,0.9359029194940099,1.1810370222779967,1.103890270652779,1.1257616476786148,1.1704173703400274,1.025111959634092,0.9801736886436334,0.9008483657457531,0.8374271684537304,0.7693716895071456,0.7459096952120634,0.7387498571989396,0.7644374830181856,0.937256303516408,1.0022343333335497,1.277611782702358,1.0092856083634407,0.9613632371139763,0.7952721564939363,0.7730658424366229,0.6560278242128695,0.619092534388238,0.6779606256059526,0.7991320522788374,0.8539644266098404,0.9195393718536171,1.0145267790122938,1.0616658977909554,1.1892144044856732,1.1980851372488286,1.150852548899807,1.0796027441909353,1.0049114919033468,1.0086009368891262,0.9245948159484033,0.9267683806800416,0.8597342545404802,1.131238328055733,1.389798419000052,1.1604136666279015,1.032437271736087,1.117413681176194,0.9832453351941646,0.9025380056571665,0.8539400173736549,0.7792238610123845,0.7597663229327886,0.8268214950020419,0.7965477383155464,0.8762467898082968,1.125362904112785,1.063556850275586,0.8169188471285962,0.7863870526654396,0.8288303594973186,0.803627680619974,0.8791520288301123,0.8865821910500324,0.9609655451076548,0.9867135419370106,1.0733840459351618,1.1510814543534462,1.2576581486532747,1.1650018209403807,1.319076319007502,1.3483872082887756,1.0743779703213943,1.0725620247248129,1.0102045915123872,1.057689230939211,1.0338381148822642,1.0080562679682523,0.9850470742474272,0.9348977766927477,1.0345468232579091,1.0908655882109197,1.1063814681589739,1.1107460851774118,1.0217236070977622,1.1721584692004692,1.2441957664954637,1.1827933795864627,1.1951849116062319,1.2935672492917547,1.7822229255439281,2.364925221140673,1.8691124428157844,2.029444861943541,1.8317464507722176,1.7498612179048962,1.5150971389469368,1.4212562137999571,1.4504347584334603,1.1839285672043145,1.1992956729459812,1.1660396972675324,1.0708004808505744,1.129569994753119,1.0597062913702167,1.0078204677170282,1.0338406454811813,1.0460389044360139,0.9644662305073771,0.9657767731715887,1.0274083038890165,1.0040647804918468,0.957955891900021,1.0179006720004182,1.0304519852751057,0.9867587480980571,1.0427830309405892,1.2011751062511744,1.2745441809984044,1.1502506672404347,1.199211701485543,1.094757729698513,1.138976460717071,1.3381738358024917,1.3624188215339328,1.4811516994069052,1.4090520058515508,1.3387787198187946,1.333032888995177,1.2575696594663233,1.4420323861799174,1.4618835092129046,1.4018577292182592,1.3321965519983672,1.5640072733988464,1.4056495785237162,1.3848339438644215,1.7522851822390424,1.6636728957177278,1.472249761303666,1.469952053708704,1.2457900979624303,1.2069213153648308,1.2743509064609444,1.191152005071684,1.238015901833089,1.2530934594332412,1.3090107792015016,1.1809852249098391,1.2036838605728482,1.1089204038338851,1.0934377488763154,1.010286344778351,0.9877594803198814,0.9712261049423513,0.9733145872097982,1.0386913564666653,0.9853883171365211,1.041312639979373,1.068534295921194,1.0855397305281718,1.1067730863175398,1.1576655215460423,1.1452159674077798,1.1989808762109326,1.1687367746421828,1.1452912405732192,1.2010589536724157,1.2114405398718215,1.1614263724772615,1.1551895562351506,1.2989143647621904,1.309439823495298,1.165889415608226,1.2650134543852578,1.4470206798536138,1.4675577925125542,1.4411631991869882,1.194275952719888,1.8281886250984605,1.567245340603048,1.2969566574941307,1.2161598628138757,1.0672735801985103,1.030504262835173,1.1911523170965754,1.09229702402844,1.115458881467105,1.0112579353174513,1.016880102199813,0.9581997652594384,1.022194516236139,0.8959263213529165,0.9028490858437728,0.9208794812893292,0.9107429981234794,0.9771519360528074,0.8480120053372288,0.813119251903468,0.8027830163555396,0.8055607925599498,0.7215013197001302,0.7768431864630816,0.7445255391038408,0.9011630004123818,1.2243636177910682,1.7802670695719582],[0.7873842999630495,0.7359712958488193,0.6509150418533456,0.5007163426310202,0.5922267631968888,0.639700255797737,0.6328141211647816,0.6632572840272307,0.5922455167161821,0.5369533647202938,0.5438098412419708,0.6149603953541767,0.6368609461832558,0.582339437605155,0.677776263553708,0.6873577823451629,0.7463175639083027,0.8456878589329878,0.9974781474471901,1.0378818393850693,1.1835917042792683,1.311661489770045,1.4881103330417609,1.621272964347851,1.434973344322689,1.1795370981161781,1.0502391761514047,0.8969986160977945,0.8339834772687145,0.7310786533039406,0.7755497147775564,0.7062212967986666,0.7080214371440642,0.8206549711664302,0.8040035760493678,0.8605748321629648,0.8017225849540677,0.9208756881846283,0.9305423119733414,1.0460616005323469,1.274795362799866,1.1597676138983413,1.2057272530503254,1.3372114881907446,1.7972519435668572,2.1129836778657434,2.6570335873633746,1.8087044278549675,2.152176304253949,2.840388560069331,2.1006146612093977,2.506271020576257,2.3520438816612503,1.960127674878022,2.1705071318682196,1.5538056514813767,1.9129956658013108,1.599306944072107,1.7385542023756524,2.364174093822771,1.3383108817462328,1.205323297656627,1.1513812702106514,1.3464672189827958,1.305032693980105,1.1409873765207696,1.117821754451233,0.9674398822119711,1.0268260218740037,1.0776119872868228,1.191833667275656,1.4765439785939047,1.0879057665256542,1.481624505834929,0.9925969369537048,1.2725660471652782,1.0440198120066817,0.9967021413620608,1.0091278663280774,1.0986945118545066,0.9489800789775765,1.0103556328593117,1.1204087124135438,1.111163108314291,0.9893912586996756,0.9397342413299775,0.9587190861907224,0.9135878639794719,0.936759136523525,0.8615464514312319,0.8995413748210297,0.9808677800148639,0.8991278222118486,0.7674456304619882,0.705486652550605,0.740578683380594,0.7520742697164862,0.6507977847670013,0.6286822625285645,0.7348867407605916,0.6981316992661525,0.7426172557460017,0.7592536991164436,0.8074543706513432,1.0699167338674558,0.982066681362829,1.0414427990690167,1.0926756545342877,0.9260938169525259,0.8721874717183075,0.7841771366592107,0.7316306932205628,0.6648125193949708,0.6484722536522761,0.6480102983688655,0.6664857393779453,0.8138699670987906,0.9169653439464847,1.1277075520274125,0.8803800335311324,0.8714777067447479,0.7044376759778795,0.689065228140929,0.5785771985228668,0.5500721990180624,0.5949276613205386,0.6837775341110741,0.7490549984060426,0.8172514454321042,0.925517185842853,0.9779214604701691,1.0981621012457512,1.1409883291228755,1.060171067063633,1.0041771716711454,0.9585356627269292,0.9659696040883794,0.8764012682015564,0.8333120738887895,0.7799356103069337,0.9867545761474577,1.2789728262376225,0.9983244977545851,0.8894144006618285,0.9752765197637538,0.8379800281103631,0.7826566083943269,0.7325319986214095,0.672244823414337,0.6462349692954158,0.7135532708163083,0.6714609087055369,0.7821251469743129,1.0785640791375724,1.018997548258252,0.7093268153741621,0.6755565193872616,0.7101260870462973,0.6941674680436026,0.7708406459619067,0.7687624872182166,0.8428660345650438,0.8660829672644137,0.9433521225882728,1.0247889566959463,1.11468931460389,1.1081902199342475,1.3190991250589401,1.4131698763980338,1.044975618858373,1.0257787527049438,0.9271074225227943,0.9537783264369628,0.9293411815700867,0.8927227846874769,0.8675884177441355,0.826803386381107,0.8966112737337523,0.9863388509523842,0.984856566720205,0.9839148974481846,0.914591659422373,1.0728284398453598,1.1403154339070847,1.087916726433315,1.12281259773298,1.1661009127232254,1.7268471393288074,2.296709815371128,1.888673856159826,2.1597168919971814,1.9895178571164485,1.8624409639962398,1.5631279585114015,1.4008100544292024,1.400973824402566,1.0979218396378359,1.101579487957931,1.0535318950325079,0.9542006607277423,0.9977567275974384,0.9183467243278678,0.8804608067330422,0.9039566541848177,0.9077726884603661,0.8351289033474449,0.854927968677194,0.9053194354289318,0.8712295168178512,0.853511081578956,0.9176569128513642,0.9297362924127731,0.8960184494746287,0.968774677785357,1.1385576860835127,1.20813027524042,1.0631884921334442,1.1064813481430342,0.9881202391576632,1.0236804073345434,1.2545349443212404,1.3164250822011334,1.3869050059939831,1.3489928112109342,1.2161651444875514,1.1944169393786692,1.1188880598200182,1.304634872181097,1.3507548390173267,1.267526139007119,1.2018476771853237,1.4548463935318596,1.3031500733301593,1.2598111415460493,1.6092623800287382,1.573923102074102,1.375472238683347,1.3851522123023088,1.1281060976121928,1.0932493606963742,1.1361978738743022,1.0437968172451066,1.105175255379319,1.098632216195854,1.1642469732165364,1.0275995110733,1.0448922695057894,0.939050671968158,0.9405597816624462,0.8655351671620543,0.8400130139331927,0.8384902601742225,0.8318825839656359,0.8937012698246096,0.8520222206382428,0.9471814873571792,0.9439264153535177,0.9602655191276654,0.9821822334805175,1.01437155811976,0.9937743645441739,1.0404228564984757,1.0337074743594907,1.0196690663931631,1.0700968219436848,1.09468055537937,1.0444441183379078,1.0336778683140053,1.1824911146452417,1.223267560981592,1.0639140636561555,1.1783072137993897,1.3686488949173186,1.412588583689407,1.3862068712223938,1.094307877096693,1.7527204170970039,1.4677827860354289,1.1625818221574566,1.1455157304920442,0.9843747536395376,0.9599623725714738,1.1368063003494193,1.0085317378546161,1.0288616758524873,0.8772727606547153,0.8979399114665682,0.8399366170993618,0.913019611447387,0.7734543994853217,0.7718592596657574,0.7870716282451589,0.770172482032124,0.849389128460019,0.718385570751931,0.6691212157518064,0.6544442039484283,0.6729669128796539,0.5806523520698946,0.6464620182998303,0.6021763458803711,0.7629538654470626,1.1755662090857077,1.5981907298278673],[0.7568312765507719,0.7085299639029488,0.6349667780203392,0.479499440345645,0.5682858264409619,0.6074064825072895,0.6034251538729479,0.6265431434058404,0.5692476273863866,0.5236572128374927,0.5378922676560044,0.6073028521804728,0.6374503476867343,0.6065605421587293,0.6974166889523776,0.695943251047241,0.763928472871609,0.8646454151268749,1.0247324702151264,1.066405465007748,1.2462650163549382,1.3717973709569578,1.5897382437709735,1.7158150501080054,1.4856580784731221,1.2247205565073072,1.0673995380842318,0.8929468445495262,0.8384951786139214,0.732593330926809,0.7974411421745868,0.6976387701129538,0.7070179072177372,0.8383020818652999,0.8142500831974324,0.8699997333312722,0.8052867091146764,0.9289072859051216,0.9417663032705631,1.0579857375448838,1.2634301339606735,1.1796438591377616,1.2379824898270626,1.3472645251551807,1.7662995710100184,2.081801651010535,2.6968213755750976,1.860013396481129,2.1907057621749195,2.8625255803756047,2.238246824437204,2.6270880353863424,2.3931359676857835,1.940193514653924,2.2108434781979898,1.6050133090900343,1.946592582213813,1.6544673995585486,1.6955083850206294,2.493116581761021,1.4504725547882105,1.2940870517556209,1.210613031060857,1.455288383805375,1.3792818975304286,1.1998340129980825,1.2021592747094887,1.0125376774866732,1.0582252441283804,1.1206319048313376,1.2109871416151277,1.534624473199142,1.1392741710776033,1.5402136792946712,1.0319285079314702,1.3201622415409555,1.0886625389920568,1.0342672997151898,1.0495532257188918,1.1486189921312115,0.9710937816804037,1.0188349598192357,1.1129593525990387,1.1314037576063438,0.993715401153814,0.9588062542968058,0.9727148493264841,0.9372687483574222,0.9651002174526772,0.9048218665108123,0.9374801731325578,1.013261851844838,0.9374373297870283,0.8088676905117739,0.7367981074439751,0.7761921208820259,0.7906783072192228,0.6571527961009305,0.6254430773931695,0.7060690560251146,0.6891405782522434,0.7285595713778181,0.763346989190997,0.7720096942009328,1.0799472357834439,0.9865372792958279,1.0438018738594954,1.1019620774084706,0.9417574628381249,0.8743591602679935,0.7811956451325592,0.7304780737934718,0.649658798782789,0.6141167144742183,0.6231462259919984,0.6490329310658187,0.7979310379448383,0.9112840629991023,1.1487060614288984,0.8992812561763082,0.8844000349450022,0.6990695212104239,0.6722129195340536,0.5773258266148935,0.5436675263568858,0.5880715874390329,0.682666827590663,0.7443035860234172,0.8234898750196717,0.9392584095211205,0.9994709354127685,1.1368907503686811,1.1901963364734547,1.0998016522567975,1.028316662155701,0.9600076714567193,0.9771301865615466,0.8647848828387635,0.7945722171405424,0.7691961526596431,0.9430660535302358,1.3005529005957222,0.9903707540149425,0.8627833453064353,0.9804663781738302,0.8171873736576899,0.7501564496241601,0.7127307532196986,0.6538846248761719,0.6296749637119282,0.6935537880458368,0.6394248187134253,0.7608428066981288,1.058551775753801,1.0049507426262714,0.6792321170523371,0.6543696697477347,0.6884690230709186,0.682326427842253,0.7709693521445494,0.7581097526913041,0.8334766300777918,0.8519406424817414,0.9484915868311703,1.064183459398859,1.0819176396555121,1.1732750975693038,1.4128911346109514,1.470589251130769,1.0548630802209698,1.0446287932569194,0.9243898195487861,0.9647387223161942,0.943054188908856,0.8999632723387098,0.8772891594762708,0.8204655586037,0.9122627529795683,1.0146230272150463,1.013756145922282,1.0054579517080484,0.9312590618417086,1.1104713438186273,1.2062289057202378,1.131553787877323,1.1837923856064534,1.186179790237053,1.813265074159051,2.2982312562454292,1.9962887408911065,2.3335181623698484,2.150837244284695,1.980088247236228,1.6458308723845767,1.4933758323488577,1.4686366721909738,1.1360239283546,1.1461155731552097,1.0927903993268548,0.9799425153725222,1.0307602504967701,0.9414350011478648,0.8976848160351869,0.9268582203271385,0.9304147832757457,0.8448660891603805,0.8676020749410459,0.9288343034145091,0.8835040806068761,0.8578872891335634,0.9306417667944514,0.9474441916683626,0.9001031731824903,0.9763086295508417,1.1604954074617029,1.2395707967184961,1.1031718409614764,1.15362981946609,1.031000351535186,1.0725006227774754,1.3182050580409235,1.3650902589926623,1.4555749620759022,1.3926449437748423,1.2786209471178178,1.267253710317444,1.180395698092473,1.388642972806492,1.4318385758700025,1.3457831252936217,1.2687734350772712,1.5404672605571181,1.3819655493189913,1.338619478029916,1.7331143060215013,1.6790610843026572,1.4525688428127785,1.4511272543463176,1.174018775677733,1.1420007819644524,1.1979544516549936,1.0913289901559584,1.151721142239012,1.1392052830139345,1.1988470668097722,1.0633710116826482,1.074835374716281,0.9604512146021437,0.9511589177538735,0.8804647788014046,0.8482995215721157,0.8437346692214995,0.8326142870834107,0.9026906468551905,0.8549612312005204,0.9422566025515985,0.9524259730678738,0.9789802409283992,1.0083030247186073,1.0461358498859448,1.0258438095197773,1.0843570399527995,1.0796104167951126,1.0548083244024191,1.1192528362203087,1.1541846398703288,1.097133220185147,1.084508683296923,1.2620118405008918,1.291045469479778,1.123745674604813,1.2484824460254222,1.4702230448117328,1.4930629282378023,1.4584541886807925,1.1481113656577553,1.8079491026209535,1.461517936764754,1.2145034853592105,1.1750385096208256,1.0135043401662247,0.9736865061537051,1.1525690887391626,1.0244046517945644,1.0578698478487638,0.9082189715172906,0.9272749144721916,0.8480284214525244,0.9331619112835908,0.7735668409252,0.7682654755874433,0.7758661837040852,0.7545231331611442,0.8440050477626088,0.6972661297170966,0.6538638364794658,0.6282119221142746,0.6391650482313115,0.5543909623166733,0.616595518481354,0.5686496163471648,0.7314398688597223,1.210738325053868,1.5681374304388287],[0.8601575744783034,0.8004844216254511,0.7420768619351389,0.5205553747153936,0.6435582958010099,0.6677215876965964,0.6393234315790797,0.6590890810050428,0.5850694042993168,0.5250488610501505,0.5264392535198318,0.5875950387537989,0.6168861584714656,0.5902296057600905,0.694161142230895,0.6820840306168703,0.7544091299138762,0.8744648501777523,1.055762690288055,1.092238219281489,1.2933969638824139,1.4276152549778784,1.6528087414361523,1.7860924027998317,1.5335319666445741,1.2691154215203113,1.09630385009046,0.9108616054889911,0.8441669575391607,0.7308129309787956,0.7937544529734419,0.6957518481781296,0.7026735830489699,0.8266216572900272,0.8137461437549857,0.8765129669092822,0.8014751315806391,0.9446019792618894,0.9541090771887848,1.0858243781308727,1.2883916743585098,1.2140421106833235,1.266599569459683,1.3794533267304034,1.801769539154492,2.106654784877488,2.7174510319607523,1.9074724636443872,2.2430691739851327,2.9258801001575723,2.2919235251963523,2.6578898246631875,2.3929988791991774,1.9312972846639103,2.1926860420188223,1.6304370725474824,1.9771471703197847,1.654937481785065,1.7207192055518274,2.5436553406990314,1.5057537920120803,1.343848842239986,1.243933892016744,1.503917977464213,1.4293960850596688,1.2434405921467497,1.2508934611771823,1.0363129150898722,1.0840577675310485,1.1456122671177567,1.2295901085171854,1.5413181412978785,1.1572816954524279,1.5331963801000712,1.0606683635367824,1.3528583358033837,1.1073062334896269,1.0467850426719207,1.066002238088146,1.1622889822968854,0.9891545238108213,1.0519384416376034,1.1156858375503178,1.1348962491475374,1.0131168199861498,0.95997928863599,0.9945913498215856,0.932477680501305,0.973397691839985,0.901640221011871,0.9376569721709843,1.0269368864611799,0.9339304942021811,0.8007855438879159,0.7293032803793215,0.7726955852226748,0.7681274050429422,0.6396518460470648,0.614658438377255,0.7243852950488917,0.6959524370059282,0.7641275133215415,0.7753363776872472,0.8270378887603372,1.06304769068873,1.0374834488860103,1.1152072269104614,1.1526079832215659,1.015790304920044,0.953052434905828,0.8477954352425453,0.7579432361479508,0.6715121407838551,0.6384942732291241,0.6325354346778845,0.660896497561307,0.8117477852297968,0.9431809158036217,1.1619626544306936,0.9146963551186043,0.9055945429826373,0.7153027199762446,0.697737303163048,0.5832195363123893,0.5370375731291254,0.5924960961849062,0.6944714226056987,0.7925912946516895,0.8869274854560171,0.9811025172673226,1.073592675769191,1.2082281535469908,1.2359614324653008,1.1545412305966154,1.0687689345478006,0.983125842687249,1.0023244795633612,0.8690112377770213,0.7861500946024994,0.7765288100119445,0.9676280923304622,1.3161636528950023,1.0027019199020695,0.881348705761306,1.0021418766151922,0.8222054139040513,0.7581320285139052,0.7157898739358394,0.6724920364018739,0.636568113399743,0.7378842464452917,0.674743772626234,0.7917510889003218,1.0947084556668059,1.0333917761030713,0.7090162670200757,0.6625628143744757,0.7222862449755505,0.6901016916949458,0.7853482408146907,0.7855505602090119,0.8396039904643894,0.8640534323179297,0.9569769102710589,1.070475564431635,1.1111506525896193,1.1864422534839032,1.4086877131750408,1.4581820189125996,1.0699726670510004,1.0701780034706605,0.9408083595342572,0.9869908971947958,0.9638614573180965,0.9168144102142323,0.8883005477997404,0.8238258459889064,0.9256332287169036,1.02250765229997,1.0336664432383118,1.0230785947064285,0.9611385971589449,1.1502185226149724,1.2564538979807294,1.167044260462443,1.2102438162152076,1.2115002710702638,1.846921728405855,2.311800575164795,2.018827570715887,2.3095258109378247,2.0524344403262673,1.9162695742448208,1.605821525786401,1.4914000009967048,1.5437732024935098,1.2247990012641548,1.2614623678117662,1.2220183516331282,1.0899375296556713,1.1846229132480863,1.0725882287119404,1.006632708943808,1.0791241494283073,1.0917992191786263,0.978820741848673,1.0011059555377344,1.0963468207978209,1.0524873980556513,0.9909613794873858,1.092805823073028,1.1367751484972044,1.0552113821307871,1.1475833979675925,1.3360024495998728,1.3754346202809908,1.3047046752291493,1.3503473904326273,1.246140435178717,1.2964402249559683,1.5480299524597396,1.5975827010039583,1.6868996099166442,1.5695749017044651,1.4987498750858153,1.475646433637733,1.353160264283476,1.5954850848416335,1.6533861572917543,1.5234508317136939,1.4543139024011764,1.724832428141674,1.5902701033662516,1.5253470605595054,1.90462537764525,1.9171258715650368,1.6429405106559924,1.5743311232324795,1.340149837963215,1.2693170958737918,1.3348787047623047,1.2486891886770664,1.2647016923151924,1.2665037233886713,1.305896380115535,1.1919269195874584,1.1888462971041578,1.0842199499329,1.0712202362630823,1.022099866264683,0.9940473788740786,0.9860530378721832,0.9780061284707412,1.086990092826427,1.0343554498666223,1.1088842175279805,1.1167826661849083,1.171095853765715,1.198679042546969,1.2346913196475149,1.1944077343062793,1.2646942193645543,1.2938745982978306,1.2423583354714658,1.3110800074342148,1.369571637361081,1.3117100362708785,1.2820528618940268,1.4690728986146129,1.5357352082839728,1.3325029293699036,1.4516112435790007,1.7150162506496502,1.7123854182885934,1.6521186062737343,1.340015067747326,1.9530874815939154,1.5352677595101472,1.4321657556652474,1.3007107439572607,1.1581076541292088,1.0893197403077326,1.2196853348779149,1.1222122490698683,1.1959708232186792,1.0637799816933637,1.0906697717040577,0.9723930424898702,1.0379828332240548,0.8547896082948813,0.8635805515347446,0.8870795004772802,0.8811386079048217,0.907095302592796,0.7812948972638089,0.7628082297303448,0.7150051869600379,0.6970616624262911,0.627269880855868,0.6887074175658536,0.6085563503524337,0.7377378531477236,1.1653522893844694,1.5746274470121948],[1.3307511661263607,1.2679513663488595,1.1729103919975794,1.1234995575531046,1.1899386785722041,1.3073947481167536,1.3551329946732702,1.3520366158728196,1.3828886685009618,1.4288016469681728,1.459774521198599,1.4394749576427275,1.4772688848661957,1.5068764865933604,1.5520892067626981,1.5466676564625501,1.5746727668715965,1.702048248173624,1.855315133831249,1.8149225991383477,1.9807505502997158,2.05628480515118,2.1531324402191796,2.272560696616887,2.038920061094321,1.9228299286970023,1.7880157282031035,1.6817091426848996,1.6336438417121963,1.5210388369433,1.6306073850352165,1.4869864591314244,1.5256063373890185,1.5990558782926807,1.5768052915988227,1.6222434759050257,1.533027123184376,1.6218476314362176,1.6050096512068475,1.662346092322043,1.8341936832869312,1.8444165860496344,1.92024584933145,2.0828685196865204,2.3673586080956457,2.4854148914186642,3.0818067574664583,2.318996527892755,2.568524110016882,2.9956522783705606,2.6119481127605852,2.9507024507642154,2.8491426983525714,2.4335278986763904,2.6754819594732706,2.2403359636920466,2.4753449802596874,2.1262372233612834,2.1319123132147406,3.106132677440225,2.1629366872027402,2.046850878395205,1.9516613936954539,2.142216317164395,2.1730736005906954,1.9639752392308887,2.0283627699425213,1.8274486263182572,1.9059802585191064,1.9345484133653141,2.013290905556404,2.197128461573491,1.9445540102671177,2.165193339881711,1.8546271369286147,2.1081254299775627,1.8583698315619828,1.8050637171056785,1.783687722807009,1.8415574133873895,1.628116852164204,1.6549439378758843,1.611344381119297,1.6857960364882332,1.5943969831228828,1.5710500329587906,1.6581086918011938,1.5855240890832603,1.68810206203399,1.64277696519783,1.6702587466845655,1.8350672716160876,1.7350853632505854,1.6579947754803697,1.5921060488982266,1.6271436445512208,1.5703697807304224,1.486894912305181,1.4479793314204976,1.4303051733706305,1.4190079189918925,1.3705371429739248,1.3666714235033735,1.361617079105066,1.4783471485337365,1.5256932776348742,1.5230170067312243,1.5614323134532089,1.412534278957239,1.3729296698643694,1.3243645679407945,1.3340811129756525,1.3477848903172995,1.3627119500013587,1.4825084119529377,1.5149302533478886,1.6258453487294,1.7454054225350146,1.928289609683638,1.7500431634742066,1.7468349273178838,1.6354618146154614,1.6021880494008551,1.4650755940904931,1.3778075346971632,1.318943215206623,1.2804968142098854,1.3155757151903533,1.3409593276702525,1.3998806386723603,1.439959881887977,1.5761346346253429,1.5949372329876919,1.5401047659709335,1.4695308954306605,1.449937230657419,1.4443274284177832,1.4541130533907283,1.5116392647722454,1.5318426861003116,1.6989618570209337,1.8476931499115767,1.7286558035925845,1.6277920267589667,1.6347362251900985,1.5588463359878015,1.520152762222318,1.4459145877150532,1.3604583863182076,1.337192367754605,1.344943481899719,1.3569080143423498,1.3131806697943103,1.5910495005529655,1.6061311128582054,1.3719393461917027,1.3712163051235238,1.3558897537523225,1.3482639747746552,1.3520772425814285,1.3705790611972086,1.4925724642375555,1.503680990940833,1.5610386289671776,1.5712652166525494,1.609445517108684,1.5877519557911224,1.747541222051075,1.7741688701571623,1.4908318839172658,1.4871691742260498,1.4656014665117085,1.4820144763767535,1.4759571597254448,1.4633902387470676,1.4130776812688608,1.4266363235637074,1.4623870476225342,1.5426814052180156,1.4958334436507388,1.5099700464118886,1.4227913114983235,1.5556319893559485,1.6236076987538595,1.5633627471477118,1.6027482777810786,1.6917748436755828,2.1508870323541123,2.330667280599594,2.2835276562637516,2.496266338030264,2.287895195637122,2.1563194468469242,1.8730163612509392,1.7961051643293893,1.8023500745078327,1.6048880330179613,1.6091019280662293,1.5509189798027359,1.4409513433316223,1.5193080633919975,1.4314798752343427,1.3751729068462977,1.420254862745165,1.437980190406977,1.3273097386837476,1.3426979703565585,1.44111005571505,1.4004085813161076,1.3357292563161276,1.414640888753538,1.4516645776462564,1.3758024360763699,1.4452320876688234,1.6160758882094581,1.6478895232107986,1.625625188584687,1.6972011286832116,1.6005246134206057,1.6555628259450195,1.8778222530353268,1.9446452914156491,2.013137337609052,1.929399301234078,1.843918787544637,1.8435591255502821,1.703857620831978,1.956525311465772,1.9865425002300374,1.8577312028805302,1.7727854982942426,2.0296056556391235,1.9098514573040806,1.8406489163409367,2.2424740453939886,2.24568965358873,1.9490942305917625,1.890963334385709,1.6693960748435914,1.609853867151976,1.6881692611018195,1.6086668858110582,1.5995037671078198,1.6390932307136394,1.6074641672387062,1.5124368573582936,1.490670059884175,1.4137404561341491,1.4112229301832753,1.3760422925603635,1.3524107044738596,1.332960553932175,1.3257296037503774,1.4089966928580873,1.3700273750140832,1.4081868941204225,1.4456386807164692,1.5053362554197494,1.5425387134638264,1.5887644478974174,1.5380272986982702,1.6108083204856167,1.6618115746095965,1.5841612979143804,1.6565653619401508,1.736509356472992,1.6646625302421674,1.6326146433081887,1.8224839147156955,1.8939271349850806,1.6909351824528533,1.805784863848553,2.158132133774305,2.1190156399224525,2.034915683757707,1.7018421997435458,2.2921651956231126,1.8646864439134658,1.7988739469016597,1.5777807709686993,1.4713276448175499,1.389187174253254,1.4801476938994411,1.4252330488010196,1.5021673148549328,1.4069498806086447,1.4221372311027576,1.3319229957940044,1.392120479801381,1.2931868327761034,1.2793781117915635,1.3066650006579763,1.29298044643793,1.3901890404596462,1.2791030091276323,1.208466517912745,1.2176877457288955,1.2820399303485537,1.154798540587501,1.146165191936713,1.2041675123872684,1.2327101257110216,1.6140470610823126,2.0310324517546623],[1.181419360066163,1.07329365066011,0.9251312265111694,0.7332580827467426,0.7661416215821568,0.8026773639983017,0.7378094182792911,0.7491655379496227,0.6747122622312395,0.6232571539083088,0.6402235388475886,0.6654074077159563,0.6963043359087474,0.7345832334905312,0.8266488587839355,0.8069322864102151,0.8806562759331017,1.025539512838284,1.2410398832337892,1.269662318380733,1.5141639170691212,1.6501403935418986,1.9217528523545633,2.054866810157632,1.7553509107569187,1.4870047981455146,1.2601391639594945,1.0615931927852864,0.9787457838983493,0.8495933529463477,0.9436919996252083,0.804538119809193,0.8050400907798625,0.9715813906125559,0.941703271840391,1.0211641108212146,0.9044116031227302,1.0887972454509245,1.1139973530258729,1.2481034504017128,1.4326443223768002,1.389480828738837,1.4501268804175806,1.4635319360724386,1.9776800663068579,2.3139856062479502,2.897768382434617,2.1346480861455306,2.3500979498867314,3.029856663437131,2.441156933485573,2.76529854105469,2.395921563793291,1.9358738612721298,2.2899265680529863,1.7490388465765265,2.054340226150932,1.8372115389081645,1.8708468705027044,2.6833242140944895,1.7063756834200818,1.5464335599121235,1.4303207174571755,1.727867571830577,1.6156822500291461,1.4356410763060918,1.4582392436882252,1.2273618346062645,1.266172506662368,1.308896047510553,1.3740792258384906,1.693888367700142,1.3457650447071932,1.6991567713908118,1.2651645029306287,1.5131539720229077,1.2867931616807253,1.2117259047573576,1.2157220454149642,1.312754045200684,1.1467195177764138,1.19096165283833,1.2311580005531177,1.286214804660907,1.1426508862278768,1.0926542369341112,1.1439011719937067,1.0501974768568278,1.131498161334098,1.0524945774453809,1.1090063947095936,1.1758427754277132,1.0833576987871794,0.945124953457595,0.8702435520067688,0.919832816430031,0.9077922410833915,0.743741283841104,0.6929780215552319,0.7577853583785772,0.7724147383538569,0.792846339365467,0.8552369750933809,0.8648635517757217,1.15815391822693,1.0742127528496386,1.1518397971573122,1.2029779821169369,1.0763407696465377,1.009068696076915,0.9136657687402656,0.8143182731762266,0.7315442495131226,0.6947801073314085,0.7098541236491764,0.7723591051004873,0.9480107555706938,1.1022142189962494,1.355638817094303,1.088789967881909,1.059666468806416,0.8424799849060534,0.8242498754082447,0.6953530163827929,0.6305969600463761,0.665108624015707,0.763839685720322,0.8433136457496473,0.9307265118879524,1.02741868666327,1.1219966371852634,1.2716838153779928,1.3037542037955137,1.2120714029345234,1.1189354012949178,1.0104117339220677,1.02907101465473,0.9090789265317374,0.8552393250777917,0.8796564335872157,1.130628967856448,1.5250375906382532,1.176261356514717,1.015847462584516,1.1550891551024143,0.9413501698373212,0.856856504732293,0.7946628606063955,0.7260994699437212,0.7009559690168502,0.7847945710335338,0.7540237190075305,0.8497515672999719,1.132143977863363,1.0425428770239356,0.7505426811052294,0.7159024178965896,0.765016520194602,0.7713826770666554,0.860911633108374,0.8653046725039828,0.933740516866112,0.9590870189031598,1.0670150819002342,1.191243526089801,1.2022674339547275,1.3084356119223728,1.572002368768745,1.5516186137191124,1.1661877593040628,1.1358408634660708,1.0127732479079872,1.072251409260335,1.0407605586200774,1.0020699324561617,0.9668720462788161,0.931916995777336,0.9957196642817744,1.117233536540306,1.1115614764344646,1.116155393104461,1.0224390466552042,1.2441486901355383,1.365031591116137,1.2722775718479062,1.3528627336808368,1.3610116739167046,1.9606043052115198,2.437822039068732,2.1276447016373448,2.477148474845554,2.2488297016840613,2.0758279605115058,1.7443865458701922,1.6137890986803587,1.636871083028673,1.3293889835697152,1.3456173051464027,1.340584838609864,1.18517273590786,1.3359883461332605,1.2130533600584814,1.1336033856855932,1.2615297935478784,1.3035375090033532,1.1683500148673125,1.2083458779505578,1.3587437384925778,1.3012734322295667,1.2250601274573503,1.3517150578142478,1.4228881702314395,1.2996590066948024,1.384923133909583,1.612869077346482,1.6579612545431703,1.6209502942639038,1.6765545191111506,1.5549307552476832,1.6332499225447223,1.8627665025252347,1.9736717900063048,2.0186737387837943,1.89130253333206,1.786829641475842,1.7411666164981792,1.5686068241126687,1.8383521122522315,1.9152329411323243,1.730293828395619,1.643681702548138,1.9277975723094793,1.8286905672014648,1.714533716009723,2.0916159307892985,2.1635457374241365,1.8559391075601188,1.7115712415481756,1.4997122443374205,1.3892263169309624,1.468853377593131,1.41684422374496,1.4032854150707044,1.427008771401586,1.4064339596390785,1.32122452197533,1.3695516176601978,1.2297935259982251,1.2043485029592038,1.2079858875823775,1.1972133975254062,1.1772529105280556,1.1938971406305954,1.3258091463518407,1.273755124303406,1.3465352954749685,1.3706273436152527,1.448501851305977,1.4798908296003908,1.5142254118137901,1.4449572046569863,1.5353727551766367,1.5979954959004947,1.5075997506672092,1.572871744397581,1.6813889425854083,1.6257673294473975,1.5416144534101082,1.7652971795335128,1.8852058205422888,1.6402847987557019,1.7130037644612268,2.060605675894813,2.0621528345127222,1.9565691459305643,1.6281982918956595,2.226402508185383,1.780149702457102,1.7481969357607283,1.5660672563172549,1.4210080337522837,1.3152637963475424,1.4275752526640895,1.3358267455159503,1.4224267215197635,1.2675487579022955,1.2889443387952266,1.105914161459936,1.1390104274657449,0.941926644035268,1.0063883383548635,0.9970027076541483,1.0184435532941205,0.9781620949376943,0.8946835351317385,0.9223973044082509,0.8669170001640399,0.8171371477946366,0.8212782470985673,0.8951255047508331,0.7719201380038898,0.9035297266284205,1.2422293094407455,1.6875410151583101],[0.8235650000431978,0.8457130949565775,0.9422019051297018,0.9116835231936488,0.9161593443187072,0.923492796178291,0.9741303427792832,0.9930566215645432,1.1142218620390545,1.208877141691477,1.2729080454276467,1.2638288349516875,1.2684063354961397,1.3963891017680006,1.475046786721765,1.4061836124386995,1.4911412021916992,1.5833342439849503,1.740166911448151,1.7263029519869393,1.9218768052107278,2.0030089203006147,2.2924615169786176,2.3701063674045137,2.1177380815388256,1.9310418902334114,1.6981599545339132,1.5604139023810777,1.4954742606760951,1.3939696182659127,1.5259613370115765,1.3647248253927002,1.3874057377971425,1.5402572731275999,1.4754899140799609,1.5502839525459178,1.4029270898824873,1.5655984436581083,1.546504909791917,1.5637910335310483,1.7744533281517663,1.788267226658818,1.8008287856793344,1.6491240578304411,2.047497979358778,2.4082363265005124,2.9469359898548086,2.2466023780980056,2.3588403164883904,2.9976367165722095,2.4891963629072276,2.7905422545340985,2.44835066948976,2.0641569921010867,2.5518687320700275,1.8795970090761007,2.1161706092469053,2.1636171358469474,2.18739729441783,2.6424910130257526,1.932616135435637,1.8545774367086072,1.8057658287775216,2.1044511129402688,1.91496516907976,1.7951371776014136,1.8532051177960116,1.7323223621396668,1.7958728474820038,1.8211170608803664,1.8815371382567598,2.1889219239100606,1.9115005537036394,2.180892299944499,1.7795166360512935,1.8936666402603752,1.7563343941026057,1.6909533967566832,1.664316447565303,1.6987861987416308,1.5435806419696836,1.5098658676910213,1.5984272823585177,1.5575754371319457,1.4189167967001413,1.4718632129748328,1.5411549421752335,1.4955512977773853,1.6234756953056908,1.5899950049150144,1.680713325433366,1.7034218390873406,1.6597009067188953,1.5487487676368894,1.497056875692423,1.544639401046504,1.5410393784519516,1.3827970357394277,1.2724796852277682,1.164029931815446,1.2476103238959027,1.0862228050671419,1.2422972284705707,1.082893353195445,1.4597698850302423,1.1044463057046507,1.1372210910098128,1.187577445622347,1.0519639766309905,1.0251811171928442,0.9845312688270325,1.0490928480906359,1.039117666538464,1.1260579140280458,1.2363866944840984,1.3170524634250653,1.4706868840960472,1.6154271052660363,1.8257243588358194,1.6447978892117108,1.6477440295584327,1.440421847690849,1.4254124835431865,1.2817603619774394,1.1691632994743368,1.1144195918276643,0.984001131968257,1.0323202363292079,1.0207260632892683,1.1064763179244739,1.0887842711422606,1.1828363154422095,1.2836658976031212,1.2242705855627765,1.2067687266851415,1.189128800909341,1.1382622423410307,1.1861285120216878,1.264935614039046,1.320759895914965,1.6189433129261293,1.9847191661195798,1.681772784355952,1.5027108025398879,1.5777979429126154,1.428451148691691,1.3355081330144347,1.2564064974232894,1.1482692561057841,1.112187686679413,1.013672722134965,1.0366710284137044,1.098528505556963,1.3256821007524224,1.301544493362222,1.0881480005882802,1.1393908898184857,1.049484833674662,1.2285458358531425,1.1721193746637688,1.2023187781578257,1.330725730583912,1.3393314936601535,1.3892233162017302,1.448047853910335,1.4404594173739178,1.4534644025053491,1.6854114525597934,1.6529284207631634,1.3597073858400635,1.2846182060411853,1.2750060595827548,1.3007802363028147,1.2723581811729303,1.284918012543209,1.269083875679151,1.321000001478688,1.2896981033479482,1.3833964462237356,1.3280053098604998,1.3203338200147612,1.2012283109306214,1.3204833613350218,1.3950858419450645,1.387442731685437,1.5297085229960916,1.6270869254327816,2.016678220987086,2.653653294830978,2.203828602257708,2.571482582299931,2.3768342759804577,2.1152575376889735,1.7474666499858216,1.5324038671520541,1.4888918750589926,1.2662382285870717,1.197028600106734,1.138496145069559,1.0357586373368526,1.0893688615812949,1.015267790895738,0.981057682201977,1.022390877509533,1.0356567845016513,0.978861431426542,1.0289819329953742,1.1016515597989993,1.0658431680268072,1.0767480259753557,1.1577938136668038,1.2063502370851507,1.1600481711728625,1.2351458945696712,1.4240711385448412,1.4448157385795786,1.430768847637636,1.4561363690018918,1.2975998929116992,1.3638808447006328,1.645099020210193,1.7779910542888377,1.727506824387698,1.615689159848971,1.4619502315364084,1.42188240457956,1.2769219012391824,1.5164627853762518,1.6024545292749197,1.4343038420851415,1.3440313907814239,1.6347762412114335,1.5214140253171113,1.4185463712088622,1.8151219403450323,1.9067613702050623,1.589540930453063,1.4992437570923893,1.2601816472044909,1.1668775505129956,1.2321125811275417,1.1548199271871054,1.1960996740238699,1.1804244762533644,1.1878379912021386,1.1184252335365301,1.1318080114314584,1.0150432646009688,1.0230892056905865,0.9690413746061297,0.96642856314095,0.9984156681579465,1.0056448411943621,1.0737847608731979,1.0659645540147131,1.1605914057087883,1.1755757662024,1.2361684294484254,1.2338095883642815,1.2275272009381089,1.1452270667000837,1.221900138646751,1.309674369226214,1.2256034005934948,1.2735133701101242,1.3852562291481765,1.3370873917374966,1.2583954008971001,1.4755692984286246,1.5995101022444767,1.3731592894398374,1.475663469088555,1.8140236715931084,1.850936769881267,1.7375287603509952,1.400209943102034,1.9940039996010765,1.5642673892277361,1.5159194934537108,1.3796078508922605,1.229370515066608,1.2075586250310482,1.3039917070867597,1.18172615242792,1.2619117734156906,1.0659825219272723,1.0699587016268126,0.9799375375158199,1.0064813912887483,0.9670839538065616,0.9557531055788784,0.9686884435371252,0.9578245256711223,1.007609672604326,0.9324275002070355,0.9560005603368956,0.9263018702379519,0.9248967834699312,0.9076053449364448,0.9688009622903748,0.9986615509284567,1.1719397133931921,1.3469468491366834,1.5511686373534794],[0.7531102779941958,0.6962595804805017,0.7267230457871097,0.5444819818692862,0.5821364167878624,0.5894261475126146,0.5410940997760888,0.5523981915560919,0.5783595639774939,0.5879890992815392,0.6163288296741011,0.6373787711388696,0.6286510693709961,0.7333601740222103,0.799924840803356,0.7197390188207939,0.8144309935428854,0.9018698671567575,1.070134395634437,1.0715012004863607,1.2807760068219118,1.4033238283060105,1.6497731770940296,1.7634983805424085,1.503510382995081,1.2787845954947012,1.0568133332762744,0.8893673287570831,0.8279786015742735,0.7277698396357103,0.8319383342976051,0.6851807743141403,0.7079341636934481,0.8243586098306542,0.7670928511157317,0.8457345407528515,0.7407356247003921,0.8986884977392433,0.8883606360577491,0.9616836097642628,1.205250414683671,1.155675704214953,1.201549311198501,1.2670855039426483,1.674323232511027,2.032543387164953,2.6706115616051904,1.784667172641455,2.186260078322685,2.764343343869839,2.2184356520143087,2.6693902661393114,2.4097556925550574,1.9837710343096242,2.0728699066261673,1.5399805325330316,1.9902275438187849,1.5297142099235792,1.6044257647620845,2.4821283634237306,1.4910400933028078,1.2870548550444891,1.1778877735406845,1.447736684864918,1.3536967503730453,1.1899887962422817,1.2450347162830502,1.0520254894379397,1.1253486144509173,1.2247025809785597,1.2639058821277662,1.572244146270677,1.2296713428952104,1.5103605912907208,1.0951445287665789,1.3505029874571326,1.0811384900850838,1.012197121396076,0.9944409364370477,1.0794842720323716,0.8797086208362405,0.894489594655127,1.1080277173618387,0.9940053318721909,0.8929792168826248,0.8605132699289461,0.8927811611734978,0.8440631535655733,0.9363180073339569,0.8911885308376541,0.952868134151041,1.0578345944790806,0.997314584234983,0.8586908368322234,0.8017370922224495,0.8872251134934086,0.8770415050573652,0.7137896916865981,0.6460528740236187,0.6605778454016077,0.6487445229920651,0.6541845493889801,0.656621709294081,0.6687330184265576,0.9656158070547257,0.8311258380908657,0.8832771068925949,0.9511807144208475,0.8052440731656055,0.7230611208363678,0.6563759490160457,0.6191112162332414,0.5644054137227404,0.5826527675519049,0.638709297622039,0.6872995412983957,0.8305427704719719,0.9923156296239364,1.140187473655307,0.9610030799603118,0.9958209694870467,0.7927830245679169,0.7943451912594869,0.6575510304347397,0.5908037039025157,0.5640621560213868,0.5723640856517899,0.6375113919646587,0.6998356850645683,0.796794632860824,0.8506473237505215,0.9622457394665633,1.0326566861983357,0.9340430415151784,0.8961679681254668,0.872255039599436,0.8756082344537057,0.7926639160746529,0.7371625331275893,0.7782634088188602,1.0235403193689234,1.3724401713432695,1.01577254329057,0.8683620955362682,0.9516873994171676,0.7855455615201364,0.7191448367385419,0.6629384749323493,0.5891925271979098,0.5785902301388375,0.5956697056011832,0.58851873859747,0.7158034315366135,1.181690203726648,1.0432417796457611,0.6104043036921811,0.5849515910098058,0.5855401937555158,0.6203634429754045,0.6420060981073595,0.6547693785385273,0.7475702854438768,0.7858777075441103,0.8627390117691629,0.9740913007506807,1.03741879939493,1.1068725933473702,1.3995202706763707,1.4372052358714864,1.0482505404409492,0.9604404262129498,0.8429464137419082,0.8524133879164373,0.8198596610439703,0.7747586276120475,0.7501377984733204,0.721343386446663,0.7573469342048716,0.8879794722065485,0.8625309843187785,0.8771647247093266,0.7858403619152718,0.9567955905466314,1.058914351198691,1.0012140733944046,1.0808472435668806,1.1252527242995778,1.7192590155732472,2.312889186268785,1.9544660852517828,2.304687864912342,2.11152689754245,1.8839093609591262,1.5352462608966866,1.339274062948454,1.3405263343853895,1.0846490127351083,1.0829193649507747,1.0500179067839581,0.8933799900219141,1.0192470085539402,0.8890013783079777,0.8234472983370185,0.9554086064315476,0.986179990425779,0.8734551233839254,0.9402367023651929,1.064569016810064,1.0205786338970042,0.9919410044819506,1.1194138121815338,1.1974052770328991,1.1203697649227924,1.208109309460355,1.4288518279249223,1.439623378689399,1.4378473874746749,1.469571881053513,1.3098472225120246,1.3828489811228595,1.6690702874261563,1.7686113577476215,1.7582926783779869,1.6373489705564117,1.47150680293334,1.4119607063803001,1.2429132610715847,1.4760124394894263,1.6035356810668315,1.4065524305766075,1.3195184334454753,1.643597173208088,1.5278380458352576,1.3883076834486558,1.7046372550973574,1.8743720753872395,1.5741233816360398,1.434426192365381,1.203283682908043,1.0625945426514216,1.1404841279365374,1.0811716404702287,1.0692643672350894,1.0849563823627097,1.0715093547662822,0.9787125587796278,1.0503067590895723,0.893131006663467,0.8833025785041703,0.8895259277670788,0.9058340280389471,0.8974515069890894,0.9334613863920433,1.0635615307771633,1.04104199880728,1.131979430266908,1.15255622748809,1.2357379080096607,1.2325367848642699,1.2263687142735258,1.1134520309146336,1.205397524101606,1.303512705980666,1.2141112234585838,1.252854126628148,1.3882658500570766,1.3463401268887447,1.246282508530249,1.4628896463796224,1.6133621675351393,1.3764234120761716,1.4594625682317481,1.7693909233449594,1.826765517402053,1.6938128054648314,1.3773377996102318,1.9411144575992638,1.558482676798308,1.5482879541089523,1.370647529275891,1.2034109602683603,1.1382553735749013,1.2464567898211496,1.1137215191507028,1.217291332919673,0.9835802471149987,1.0166519053080834,0.8476721487684559,0.8543056203770343,0.7056486554925793,0.7436590546711003,0.7300120266881052,0.7511757938872229,0.7691292564891563,0.6417704575349885,0.7162968052843363,0.6538755464888268,0.5922197664073567,0.6119370624059416,0.71033456159142,0.6449524347096578,0.7395319812893353,1.0742070745764876,1.4037599473390612],[0.7146716272283133,0.6498045887590476,0.69242165809719,0.490236563493209,0.554793061665921,0.5522018232469903,0.5241488918714792,0.5260425896980478,0.5922440768093898,0.6071686675512006,0.6383925302603678,0.6505542714400214,0.6389364933283294,0.7517924011276725,0.8220474173554867,0.7348658554305884,0.845119082258436,0.948691678806395,1.1153843935581493,1.1025381391302729,1.3247042915046257,1.4367078368692454,1.697270374581223,1.7972083077998593,1.5314510386524,1.3202560256364197,1.0896028030984577,0.9152052834790345,0.8461711830685903,0.7383032236054776,0.873808140737169,0.6943513650908834,0.7368845900659665,0.8472794456638482,0.7894375693966995,0.8744537332115763,0.7458238269338795,0.8996329701352379,0.8982206042085894,0.9614671137011205,1.2118939924721424,1.1800085544079555,1.223799789960234,1.2972215628476182,1.7036237632063878,2.085482880931767,2.727258483379671,1.8001706540508065,2.2346701040253114,2.7585481652931505,2.2538618599662508,2.7097138944771078,2.4612374579371643,2.0297269961138107,2.0231258943755424,1.5503704332280641,2.0475106195456103,1.4773567324902266,1.551408835967614,2.50927097550486,1.550577134357098,1.3336769480749984,1.2228005072289678,1.5051846964748876,1.4137319289352186,1.2440950802965807,1.3150731257799164,1.1007729564228477,1.1850304328559622,1.2576725650785978,1.287441173370089,1.596032209612458,1.2741429628919394,1.532075884874983,1.1405970027790988,1.4387657569080587,1.1323551696112144,1.0659409243147002,1.033457897970479,1.1062792117949733,0.8966879497153727,0.9025403076705902,1.1373778259836882,0.9587937811224366,0.8948273955095954,0.8555041302927747,0.9108590411729751,0.8552561659677137,0.9690744162836669,0.9187159717555035,0.9996397319997429,1.142492091780027,1.0489977731069002,0.8978209504914683,0.8258317757697338,0.9142371531332742,0.8906526911465823,0.7352821997196548,0.6404686511085418,0.6443151455170578,0.6360381216925336,0.6130485147399938,0.6127101786448124,0.6020139683987857,0.8646618638291522,0.773831897770689,0.8227381987101203,0.8993680424891846,0.7569588802368199,0.6846787617587965,0.6075611077895682,0.5764017678479729,0.5389727870853585,0.5502500404322966,0.6516518706726615,0.6975127707133403,0.8499474097143916,1.0212827869166066,1.1662454614882298,1.006083112196116,1.0461885030764542,0.8541457382606802,0.8387430822349222,0.6817174100648397,0.5838141741160432,0.5241246144593421,0.5215818995423335,0.6056197847919438,0.6491991923433583,0.7360461191011669,0.8183472245804061,0.9217915683543338,0.9911285335629597,0.8818846496952292,0.8565448386005128,0.8530354229665952,0.8643758925103949,0.7727736353476475,0.7135676885319127,0.8028099507246053,1.0323657203729615,1.379019036187382,1.027478169930539,0.8802307180139921,0.959368800898058,0.7783683229009234,0.717917422508395,0.6503454031973789,0.5648816758426484,0.5654939820529469,0.5692535818656358,0.5811409931523575,0.7377750443698522,1.1897123403049532,1.0261441419997734,0.5759055048796721,0.5543856497659512,0.5513147746585834,0.5901038119627988,0.5894217372324371,0.6152493639476385,0.7243833423661313,0.7681277436152879,0.8393420567973676,0.9537269245220149,1.026737663228863,1.0911868522051422,1.398314589349153,1.4302303420884779,1.048804493762726,0.9411741940648701,0.821467579974472,0.8238296347321069,0.7809363335609192,0.7313383671536459,0.6924210350443019,0.6845717816303056,0.7191147022407036,0.848565768232356,0.7928610745038345,0.8398910283902868,0.7238611628363049,0.8943885242074492,1.0184686268094731,0.9657099651311205,1.0708672641890487,1.1221238190563065,1.711124672988534,2.3262034056330085,1.9684595740609028,2.3194513292555294,2.1200538108239106,1.8680046030088642,1.5119788702613595,1.3014158207410702,1.3043420280469329,1.047902142070242,1.0618889584068716,1.0313354143239664,0.8591495480794017,1.0033520475110007,0.8612621810776742,0.7874292205869073,0.9419669973849127,0.9810730978809086,0.8516935327466639,0.9186352172090752,1.0585408513464838,1.0205827131972254,0.9795178252101742,1.1180985139530812,1.2135963311690856,1.1259778399460068,1.20733314988123,1.4545995036132466,1.4412336940421235,1.4769853169903757,1.5186869606225428,1.3503831080572362,1.4327846514891702,1.7317628340213194,1.8496728738026558,1.8318941328643097,1.683933544471713,1.4966634361592537,1.4238728623202075,1.2555720302839386,1.4783566761866698,1.629223919977816,1.4094021960042236,1.3176503862617417,1.6392279959980283,1.543341125058054,1.3857163231915701,1.6888664297430833,1.885771240594814,1.5774137200987344,1.4380592211883083,1.1977164776456377,1.0294755160272302,1.1151225184568592,1.0681901809627214,1.0318476852689265,1.0678091329126818,1.0377988314290565,0.9426121412601786,1.014222572030999,0.8615148504405851,0.8444588691492779,0.8738101719956024,0.8968511206933061,0.8872191498335412,0.9186293753070166,1.0696006109603813,1.049735292906452,1.134196506266686,1.1633721725306834,1.263518901426631,1.2553161793021084,1.2431248889441633,1.1108385739414852,1.2082146037966806,1.3380741531663265,1.2252744916687732,1.259317962237621,1.4156220413504845,1.3773717446665723,1.2614730485076504,1.488784982562979,1.6479253905174338,1.4075032131184628,1.4936259462424732,1.809980515087717,1.8760147743654396,1.721984258485212,1.411055199180107,1.948805308991677,1.599263604809864,1.62418197397507,1.3731072419064265,1.1962574235133292,1.0965438095376492,1.187042797103176,1.0846272748070862,1.2120621839648236,0.9743332674041744,1.0129105142654118,0.8178435025560779,0.8217065316345871,0.657274226439708,0.6875492483299297,0.6736875038764768,0.7090081893285103,0.7229581768224588,0.5914819223621486,0.6638956488874539,0.597949604964346,0.5362022310294005,0.5648228398385992,0.6919965846483231,0.5798820631862958,0.654464140090189,1.080008422919111,1.4021788041553724],[0.6858349880690519,0.6233250139932963,0.6550805733491007,0.4795294693315178,0.546852250358735,0.534590275433191,0.5310316953421085,0.5195304754402225,0.592430187265936,0.6103918301004482,0.6358135514650513,0.6597906872878615,0.6503599388989455,0.748660730345035,0.8112862902243786,0.7376845039965598,0.8620533987771287,0.9414209961272443,1.113270527155892,1.1052037480997086,1.3135108747504918,1.425544502965132,1.6556658410314202,1.7743731149327338,1.5198595626883704,1.3220017082176512,1.109971186698839,0.9252292852277648,0.8513554102899136,0.7558363124824682,0.8718261781426081,0.7112950215850172,0.7541871948590939,0.8537096951570163,0.8028411142657053,0.8836950052450405,0.7632481834344154,0.9020832783696286,0.9096433136445758,0.9785006198089541,1.2171842824602925,1.167734141969856,1.2134900257289618,1.3088130831167686,1.6990275148708596,2.1176430216491338,2.736810404928108,1.784970419850074,2.306877620443792,2.766940872296788,2.2587947646717565,2.732152141133585,2.4861459194533015,2.114780422745709,1.9160517726670965,1.5295338464512171,2.0982225468106073,1.3991743656014959,1.5440524156266833,2.4973403481541854,1.5638049564599725,1.321649540984965,1.2108304167209607,1.4499341733345676,1.3917108918650622,1.252360134137552,1.2876334989721716,1.08811180189467,1.1646779837107841,1.234509582855809,1.2522330305411857,1.5201941712845564,1.227961177027489,1.4717522949727806,1.1070035644389837,1.427568196481955,1.1120994853761796,1.0495365191231265,1.0213692585355034,1.076571286150997,0.8962514956403643,0.9113621930205782,1.1585675199832806,0.917255014219492,0.9116209268605816,0.8633405821185223,0.9294443078925946,0.9013864048391611,0.9678665930809495,0.9232355195395543,1.0003245848301536,1.1231654219074887,1.0390224301871742,0.8897081666796143,0.8216247617967692,0.9002459281822839,0.8687044743863785,0.7389454177677076,0.653454557022007,0.6624806991086784,0.6531882432543985,0.6418827959868068,0.6201226649651187,0.6093755563615767,0.8315985627032563,0.7752293374185405,0.7848473815858685,0.8372270066667397,0.7173783801643503,0.689127354298822,0.5998872798987425,0.5931456897903505,0.556333821328531,0.5846434261361181,0.6834613800311599,0.7397542653477048,0.8759015502220557,1.04011117490998,1.1530888208142518,1.0039733543298188,1.042966877233983,0.8850913178666024,0.885127137699355,0.7181466675372836,0.6162794256238883,0.5644512315817128,0.5120352905594583,0.6157580691513925,0.6479617231009572,0.7229168157069729,0.7886581251016719,0.8547759173537967,0.9477941595279343,0.8535207728725379,0.8615210616236444,0.8798305402768045,0.8926904622125422,0.8194588784240032,0.7717239006758375,0.853205535266545,1.0618018280082564,1.3786123882754613,1.0276376986931093,0.8927755557390323,0.9703993497988546,0.7949643097516651,0.7513202222828118,0.6863022584255787,0.599743172334606,0.5909752697509087,0.5848337418791644,0.5777581661897143,0.7245799611244494,1.2259817067461867,1.0505145902656363,0.5826853464997064,0.5666243611283251,0.5693720899905206,0.5972794539279473,0.5982542099604764,0.6418665500369857,0.751970626555665,0.8003093736315439,0.8686931007686102,0.9776125077705917,1.0209084960033927,1.0935086513429595,1.3995423680198666,1.4397384591332074,1.098677277458653,0.9640266307169129,0.8540544078716632,0.8476241198307256,0.804313876317361,0.7538209026184863,0.6992277523860195,0.7014256704705253,0.7143752786005365,0.8304067491956046,0.7858635108956783,0.8714522131368386,0.7471025439763691,0.8739572046374383,0.9951315064140209,0.9663790664179118,1.1028777239533651,1.1706953018704298,1.6929109433516034,2.36135012729835,1.95347640899365,2.3272321549291766,2.1819187742708785,1.8793294930951887,1.5046036061079024,1.2509921970775546,1.2370816869431067,0.9943242021670985,0.9903759592490003,0.9601447218042433,0.8000174364737188,0.9151733104868065,0.7777956542490988,0.7202043945226891,0.8631632875184976,0.8923400948786883,0.784999927307134,0.8606241329093032,0.9913896932392406,0.9619985171438798,0.9420960025936349,1.0736483998958506,1.1671223061495968,1.0915054652277636,1.1674555634680732,1.4139684862015867,1.3813380446107906,1.4289633991052118,1.4499547805982436,1.2703918083596646,1.3435134494224577,1.6070692036928418,1.7088686232236805,1.7206754643253348,1.5986912760030325,1.374389587289599,1.2804555889443456,1.1442508699946097,1.3115815792915815,1.461686842040291,1.272222934721907,1.1985844928840825,1.4878324232648392,1.422673492671495,1.2568936804129096,1.4934529793927362,1.745746805621813,1.4525750566974498,1.3534875719663584,1.1034191907805033,0.93860777434124,1.0094039766248064,0.9522472530023527,0.9111670901510309,0.9632222937336512,0.9240120973231737,0.827208077495802,0.9320705829923092,0.7873329479566495,0.7820984026177571,0.8035830572651931,0.8437021269577842,0.84673912049734,0.8725941414863166,1.0110318698417735,0.9961520460291596,1.1107170338287127,1.1058016210632182,1.1987649405311067,1.1938972788818645,1.1608008341890244,1.0134950776156404,1.1023742467295987,1.235384291886526,1.135969464107282,1.1492640903925333,1.3035096190159778,1.2820029533782757,1.160690436761436,1.3618764186216636,1.5328734401814796,1.3061149183092482,1.385982128725371,1.6507274029946948,1.7518293193110983,1.6043373706086954,1.32321348646228,1.844608234756401,1.5553843350312968,1.5841810589447112,1.319643495786911,1.1387022526926962,1.0474360710523167,1.1335401837882602,1.0372486401860717,1.1592334947658278,0.9106012088402371,0.9563282030094593,0.7720941013771693,0.7759415188913977,0.6355104862507638,0.6330806118027842,0.6121763214352879,0.6442600231831098,0.6940637739229089,0.5722499336886796,0.6130126220452461,0.5489586076154549,0.5151440499568635,0.5247670796359923,0.6689409895123093,0.564217190660049,0.6542812668107842,1.1291183823351096,1.429616778030252],[0.9505994596031415,0.8470243692267863,0.8764540110425453,0.6175876299968961,0.6715605544358139,0.6673394193046697,0.6107862588964125,0.6074389449377855,0.6661923904017611,0.6415819561748222,0.6825375091851587,0.7111227619244548,0.6407274705607541,0.7581835244102495,0.8152614258826646,0.7102050393946936,0.827928126136693,0.8959740508968723,1.0882471503307478,1.0428102203237335,1.2534844444767632,1.3443302267749289,1.5907799097406292,1.710447021649653,1.465643832043849,1.255146111277885,1.0254764131413285,0.8607878736366574,0.7961101367761502,0.6953320548683152,0.8256523523598563,0.6752509751681989,0.711546189227007,0.8025738023260299,0.7358893208854748,0.8070317580487,0.6884048200308165,0.8182104086163193,0.7965654216665539,0.8747261744383056,1.1273580471259366,1.0764700469229989,1.1179563842180267,1.2132544806381265,1.6430661711903698,2.0578689453931562,2.705463325288532,1.722766600362595,2.213580135309088,2.7257004201916826,2.198325375678094,2.6490930438975777,2.4567697310367906,2.0926996036690757,1.9110177296859712,1.4592968772678587,2.0400864682897666,1.3188025699371664,1.4764208532852077,2.403701670500854,1.4652418427214957,1.2481117485655793,1.1299916311840332,1.382934489470173,1.3298403507549719,1.1830197666281859,1.234579797208492,1.0418985985633065,1.142546761168465,1.2256824277302636,1.2594200397413085,1.5416020324871023,1.2421705216015637,1.4739060065792633,1.0765667836460255,1.3862076267247923,1.0430344581264581,0.9774169528431392,0.9546599011261211,1.0036478020289834,0.7898487359070632,0.8268059544866829,1.0781144614358515,0.8276965416864202,0.8146756152414303,0.755868367356534,0.821152838878096,0.8151797050553321,0.8867611365433978,0.8566480496925978,0.9496471569820998,1.0794488679922212,1.0090055089988637,0.8612294254212445,0.8096715868405354,0.8974225630581608,0.8983409871132128,0.7415598389502834,0.6754395620746397,0.7101706487058747,0.6530176565422489,0.6785086515144261,0.5851828826047231,0.6329115111303361,0.8638744305068043,0.7723522444480582,0.8502612776575461,0.9156408745284097,0.8234587133220832,0.7575732946507264,0.6786072937196022,0.572207907327565,0.5587410754850942,0.5494652730646107,0.6618347719758056,0.6934347147568756,0.8350315662560553,0.9946950250657657,1.1135542421773579,0.9679998806396037,1.0313923775141032,0.8651577646777625,0.8589622206620909,0.7008685053177677,0.6307684064253603,0.5503278643190914,0.5882474717823855,0.6313494629107682,0.7075668212149306,0.748270425514259,0.8609965611180358,0.940860626350506,0.9600086258435343,0.8638713912790038,0.8342008563609026,0.8525596161411271,0.8634954915898007,0.764171446156508,0.6936670497286874,0.7493257283599701,0.98613630535868,1.2992115234653987,0.9707228533309138,0.8214869793670392,0.8617391287705184,0.7164646693150399,0.6753519908730155,0.6091368668156746,0.5453698731180768,0.5506124293519504,0.6221508635343161,0.6452411438437692,0.7715633578206649,1.2929765274166294,1.1384587487216271,0.6564930133573734,0.6060654738141787,0.5882928088708644,0.5592234642986169,0.566922609888321,0.5623314472024066,0.6728804768190146,0.7111910801826911,0.7860329562621665,0.8698642097028162,0.9358068403881133,1.001166720138872,1.3067184627153468,1.3690767897956877,1.0083486766136807,0.8969934750541366,0.7719401311060917,0.7663720946893413,0.732635378303891,0.679488570088703,0.6350490375750061,0.6427970962189875,0.6479380123218039,0.7768989301956385,0.7283924538951098,0.7941015977807326,0.7068034505200647,0.8675450011824717,0.9625226413284749,0.9059949596540424,0.9919096426616939,1.0814069204689731,1.61156778747248,2.2831084161918733,1.852991829513211,2.1715856561569873,1.9952975935010673,1.7490702863281382,1.4386099164128998,1.226416217792354,1.2540383154371937,1.0559009692913053,1.1109417228425957,1.1387612246496497,0.9766135583930744,1.1569112784108884,1.0250099218179938,0.9238292050551525,1.1237991685402748,1.1888060071880653,1.052668354144341,1.1089068284855714,1.2819298101172576,1.2633230565477604,1.2007334189636931,1.3467239122208725,1.4672997470440092,1.3584298110276805,1.4215039542017047,1.6795996921660434,1.6463775492901522,1.7537884413514826,1.7653284888770313,1.6023224788626633,1.6960726193292226,1.9675487182835176,2.093470002995973,2.086315281433626,1.9383152257340246,1.7297880260801133,1.62571726962364,1.4497178714589674,1.6379662946960838,1.8094093394955102,1.560873562309467,1.4724241503078899,1.7845735912844924,1.714257681287412,1.523872266078919,1.7302027532289008,2.007064770579534,1.7049027671415151,1.5120712801435139,1.3291365163497035,1.1150969525149341,1.229077446023837,1.226028439345119,1.1605977917015944,1.206157959240098,1.1414007374559387,1.0961018486033216,1.213935129016753,1.0477996665991713,1.01326438274065,1.0839325203615164,1.1291400020369118,1.1027585105136593,1.1504510447801304,1.3203434439844122,1.308983708092388,1.3508447282090181,1.41427542981988,1.5309556819915013,1.5246900444352072,1.4986520088996171,1.3223516798744663,1.4484930321818754,1.6020853738352447,1.4612283370398496,1.476027351537016,1.6600656909687592,1.6290859571994658,1.4729023416361813,1.7048629495388052,1.8811028745016938,1.6327127096483647,1.6856670789903452,1.993492194390422,2.070494058155033,1.8816547195161095,1.6017473835783271,2.062501763129613,1.7806137359591898,1.8773687743317122,1.5583880136286004,1.4040717696857397,1.278119315742402,1.328015332505215,1.259634552895115,1.385929524566759,1.1657031235375994,1.2150572302550295,0.9604094324849825,0.9384665864184898,0.7489461171369696,0.8293021116389174,0.8024808193804501,0.8845550664397873,0.7842821561268001,0.7362147569871986,0.8515763600690538,0.7591511483609367,0.665521261655767,0.7272228571626124,0.8676865010726317,0.7429130360813402,0.7645331511775947,1.120616730322748,1.3934326253976779],[0.8295314444747057,0.7590717231565034,0.8240813979903101,0.5416880185793708,0.7095573146456905,0.6432822307336742,0.5774744798046114,0.581771675726363,0.5564202189400275,0.5047419129391381,0.49188376793208327,0.5644837263651729,0.5588359580841442,0.5954677250716193,0.6667960942997888,0.6208569423421539,0.7206061366438189,0.7977170027702297,0.9726867401228586,0.9723017765672631,1.1665805815532821,1.300275190397314,1.511052140481534,1.6356172627000403,1.3899696269795936,1.1729332205786136,0.9762329623646439,0.8225204482157651,0.7523157468723217,0.6574163845917402,0.7092445176473919,0.6231090858810121,0.6274032251764359,0.7098085576048965,0.6761077904158036,0.7514119530060085,0.6859850176296796,0.8282362903976987,0.8324733020594607,0.9620256363970239,1.1759003669364603,1.0612062429416274,1.122435871212585,1.2693478348075167,1.6807245039142658,2.0139381774192606,2.6557183324527514,1.7227286480436448,2.1695855486653017,2.7396317987069345,2.185133102067871,2.644195298948661,2.492081552356186,2.093881725561079,2.0432448924620026,1.5592834152818678,2.0551251170459937,1.405071224816652,1.5386383699125186,2.461096323077275,1.4460446716623498,1.2017899990572722,1.0685869370979664,1.3166970814349535,1.2813948272990916,1.1034706882065333,1.1301855797175524,0.9268813710652871,1.0073721001518559,1.0910541724315825,1.1194822744171955,1.4200778244317096,1.071329389619511,1.356324667611173,0.9483119135660542,1.3019685879670668,0.9718784542908067,0.9041257696966288,0.9095805406425076,1.0091388272332427,0.8097930150741315,0.8858948419824857,1.106390090249283,0.9825275779369416,0.9276867819197369,0.8423086504241113,0.8306585524365484,0.7862214466089911,0.8477538632738569,0.7753227665123963,0.8139270160251129,0.9746906126431122,0.8740348551662896,0.7251744333700005,0.6614094725264471,0.7296353225794041,0.7097832607202842,0.6034705213959249,0.5538363599587891,0.6892971436876907,0.6146653936135984,0.7108468029207762,0.6640664671250389,0.7755609034215029,0.9961483001399108,0.9256601627330567,1.0305841130200122,1.0986316465786437,0.9808050493832273,0.8918724888204597,0.7926724754573201,0.7081216532896885,0.6110162599864516,0.6248650722206438,0.6294333258089206,0.6578650269653826,0.7637847787969396,0.9272329400722171,1.0301610287588103,0.850138320318854,0.8955618596356045,0.7155220270427392,0.7306014699647849,0.594257541074845,0.5269476799440908,0.6028961069525405,0.6732447780748464,0.7571427633377035,0.8597651535880886,0.938361129657714,1.0438929928355525,1.139659972053552,1.1737785481186234,1.0774442019823214,1.035891384894641,1.0058564425411634,1.0183697257132855,0.9151684068925666,0.8155134985257079,0.8136489753238947,0.9815296755087424,1.281780367053109,0.9498470526450455,0.8444452764393237,0.8876079758916837,0.7587008195221455,0.7210319488025941,0.6571466653409419,0.6235263982146071,0.5781829860098356,0.6766376278561251,0.6106536148646546,0.7538103809597807,1.2474585404607323,1.0744602270527641,0.6385267628820362,0.5800710404798236,0.641476662080481,0.6111717009073473,0.6851379176248825,0.7141687595671256,0.7719332175323622,0.8286065280907163,0.9115232685791486,1.021006802856243,1.1226489906519617,1.168733602231883,1.432075268935604,1.4824327624786242,1.1426321201876617,1.0742697918252577,0.94141786172747,0.9458993655188686,0.9083085970762182,0.8371441948127025,0.7963943009609158,0.733929336429728,0.7981171455746106,0.9154279587818135,0.9172935595557931,0.9680975625843977,0.8939728293024616,1.078709780524427,1.1825490227169069,1.107266512120366,1.125411167121501,1.158576939523725,1.7183314139808512,2.309739715887739,1.9421688713123215,2.1832489315011614,1.978390900584705,1.8305277210496178,1.5744809700809443,1.40831477180264,1.4297616783259484,1.2406783156639667,1.2784369759226226,1.2576780825942369,1.1132237981030864,1.2588063127364049,1.1151465843943915,1.026306826368679,1.182528887660049,1.219549856823427,1.069647299541274,1.1108621689112594,1.256221439081388,1.22635985918235,1.1430897863883864,1.2705850595505168,1.3722492390582832,1.2659465451604,1.333647467618119,1.561396991017283,1.53973417036725,1.618696256861728,1.653670180691373,1.5241577983290429,1.6037288648534989,1.8821099211224421,2.0554040667168345,1.9988764635304004,1.8983518111623447,1.7294034133567826,1.6628463756591583,1.5094240061765756,1.7119621381430783,1.8558124428549145,1.617479597779532,1.5600049265827556,1.868816516586817,1.773301017985546,1.6087096676891524,1.8517919552207873,2.069902007297061,1.7763746484566445,1.6183362271206292,1.4246460244011507,1.2773840209374347,1.3529262916117222,1.3283216056422893,1.2670805773653306,1.2853504816572356,1.265526570904737,1.1997839211620602,1.2603777365292692,1.1125116977881835,1.087210750576486,1.1123293050255239,1.1196323167127893,1.0841244153297471,1.11528111693339,1.275478761735696,1.2441529900969583,1.280830605474113,1.3278551948601354,1.4395559039536867,1.4475356845310834,1.4582827596142691,1.3328661057595788,1.4379999061565343,1.5543066473164535,1.4335524472736998,1.4826287253053876,1.6311664924650642,1.5819934866944498,1.4758378370520686,1.6982463273788062,1.8407260270544292,1.60173861698458,1.6745081683827745,1.9676229639962677,1.9961875442149464,1.8347434346770122,1.5569116038755335,2.0049421320159646,1.6923838788725438,1.7345669419165552,1.4632824527299328,1.33518900756356,1.2114623948055703,1.264000227226519,1.2286644643975981,1.360908032704213,1.1923258616830952,1.2407611069340356,1.034645161540982,1.0588757638100588,0.8606540623499556,0.882232214716697,0.8762680490844843,0.9242203847779477,0.8621168939286888,0.7686117742305484,0.8308173408001153,0.7565283286114597,0.6558313791071111,0.6771763440452339,0.7662393511120122,0.6564847345640106,0.6683625507662548,1.0332174606714057,1.3915483558464687],[0.8154766747949308,0.7374426342182205,0.7701237435046546,0.5322448368096478,0.6476098758968248,0.6069275630815374,0.5236614875301059,0.5320739123114212,0.5214868188056639,0.431776702041973,0.422223206718222,0.5135234628282201,0.46254760402900497,0.4929619639097037,0.5534369565447572,0.5025387986924668,0.5879087257511688,0.6480834637863169,0.8156114795688023,0.8313263542427318,1.014141773287145,1.1360739097225707,1.3800066267791808,1.5004721897463447,1.3029899595908179,1.046259227873852,0.8531495909053406,0.6831734838763303,0.6060119095862398,0.5122514298619101,0.5621676907760272,0.4995434796328642,0.5052105364204399,0.5838719879550313,0.5485504042035327,0.6176726680749272,0.5425618068173984,0.6609554331266484,0.6756640225005435,0.7832311159797201,1.0311557218763387,0.9104018990526969,0.9588642888713869,1.1014694215448724,1.5645322294709987,1.9450594272675135,2.5631435468529165,1.6049451561859123,2.1072357435765565,2.6925822663476535,2.083072105898886,2.5614779498622178,2.4145912998707244,2.0643215013574503,1.9144203088262233,1.3956031908259363,1.9610779544123063,1.2648181051575427,1.475106863648707,2.2758928516952253,1.2832025174165482,1.0352736495694532,0.8981741568771916,1.1265973288100601,1.1043511822954226,0.9491514807349511,0.9474531757727255,0.765307020028254,0.8523051825034559,0.9578547951604222,0.9964143758258683,1.285804219709463,0.9221972493901922,1.210286488150353,0.7925794486079295,1.140290664308433,0.7996573953088354,0.7314813074487583,0.7485417534627553,0.8330277033539275,0.6491029286659659,0.7231586263123447,1.0542589239638642,0.8140389564310283,0.7560466920523131,0.6831320625208402,0.6781511519503434,0.6712116254073635,0.6907730609374478,0.6413980464280992,0.6708145514636155,0.8043541494790915,0.7238264925159071,0.578858239981146,0.5334624515463764,0.6314811469584858,0.628403252547242,0.5026170737523421,0.4749050021983525,0.6474337511745619,0.5095013788455846,0.6057528525237459,0.522062500958417,0.6423922313352524,0.866388399746888,0.7852079061956013,0.8583020084994804,0.9125942404146934,0.806880518208295,0.7463074356584477,0.6677454251957636,0.5669191884143968,0.5083314616216078,0.48852373679514594,0.5010355200241906,0.5290553101998329,0.6521254157554006,0.8143304164181678,0.9160291190170864,0.6971813047545025,0.7446220241999306,0.5845136965591677,0.6084151917483668,0.46625118080555855,0.43170427817667895,0.4726074408350415,0.5768386834029048,0.6152146424670167,0.7040673039042451,0.7563118229430172,0.8522330940907893,0.9214446422795339,0.9457830287391432,0.8650079743873987,0.833785726683711,0.858968983164339,0.8781220692026585,0.7518147262209096,0.6594412434092954,0.6440343478616904,0.8573195395614089,1.1520585386478188,0.8163315607913212,0.7051853771556738,0.7519988830144554,0.6011672495167364,0.5682109170604269,0.5217039856539628,0.4864735930104466,0.4826307152075078,0.5927755439493712,0.5632948861724296,0.7161715802989979,1.235816922437114,1.0646431738294975,0.5757275087306358,0.4959715011916628,0.543928442272972,0.48109006680488825,0.5409097321322804,0.5373106035216346,0.6130725894008227,0.657221565760306,0.7303899833547066,0.8216679556675808,0.9302546661614823,0.9615279012975915,1.2452464788566062,1.3411589717470758,0.9765194165967126,0.8778591085560596,0.7498073051704627,0.7459353355944344,0.7151686762808804,0.6553997293491803,0.6268652053378622,0.5855444535939873,0.6283893142143633,0.7363669862383175,0.7215477071010465,0.7811019582385609,0.7099774270356367,0.8553034310679132,0.9428562689495674,0.8905576168348874,0.9446379601050034,1.0080180919718127,1.5345115169545829,2.2376392493869126,1.7842042167602812,2.0830515870704684,1.9182447524450863,1.7092885726306426,1.4118652345020914,1.1893364896637613,1.2030023981125073,1.016120046558667,1.0552610563376816,1.0541592158837099,0.9186840105194186,1.0461305845747022,0.9294957030216461,0.8614595219070624,1.000651529880202,1.0404755381366426,0.9327980697187508,0.9892259232157031,1.1039983161815325,1.0799138107821191,1.047618579924552,1.1639766255549753,1.244122452176945,1.1773599264550072,1.2533696196812492,1.4636093331280542,1.4461800087573307,1.4387530101972537,1.4710957061283358,1.3321168123383027,1.3896437826185966,1.6583949649124632,1.7423069927222596,1.7550183310528094,1.643062080252932,1.450982633652042,1.376064756546469,1.2524307753101025,1.4159594128228175,1.5644558150799124,1.3689218751212218,1.305608669022851,1.5807959499631627,1.5063026117127032,1.3507434873694948,1.5579528113320027,1.7935698935873667,1.515202598488512,1.3988707197582202,1.1994435215151584,1.0380945204079268,1.1125709725645345,1.0912793427402634,1.054928405015486,1.0898198647789517,1.0808358414731765,0.9919658482297753,1.0793141660611039,0.9451357239634494,0.9308959699985693,0.9561366088717582,0.9828201255706881,0.967901933633885,0.9988054355843927,1.13184667725425,1.1102833157076322,1.1889796258491687,1.197031054710825,1.2765529650823244,1.2767244918821485,1.2637041330196415,1.140547469741727,1.2113380570090646,1.3204047214893122,1.2412764932481737,1.255579945110976,1.3818871173208782,1.358739366453447,1.260302844049568,1.4288112533661481,1.5779779061564665,1.3717789074686284,1.4422526409401806,1.662770376036174,1.7537092963976453,1.6243210521022737,1.3714860753254055,1.8297575070143937,1.5493950570179857,1.5681413985131363,1.3776263348573814,1.2246571634497176,1.144752201682149,1.2286149263615112,1.14343913600301,1.2348318902478816,1.0158690205026573,1.060981827659855,0.8943099551439749,0.8903045473083269,0.7367976555049708,0.7745656684115515,0.7582533903990034,0.8060596546004155,0.7825186637584997,0.6842792936881519,0.75012848139863,0.6842496301231313,0.6023377128249101,0.644704201458961,0.7465457562515154,0.6323453526720973,0.6408795693162865,1.0454489755180985,1.3842210870599974],[0.7644256611673136,0.695498889508831,0.7614999970600538,0.5048977192270004,0.6153320577286749,0.563805621396621,0.5151943154351417,0.5134784383226536,0.5566646590455525,0.4960074597338235,0.49982074127432546,0.5981313567401804,0.5288425374098681,0.5700314959126921,0.6184485661614861,0.565249167026544,0.6867905808658947,0.747593947634012,0.916025995161194,0.9276003712702856,1.1084993524965925,1.196712717199032,1.4542548008619165,1.5710490553831014,1.3822839028225389,1.1490499977924455,0.9396133940759875,0.7745241720346783,0.6899971666385993,0.5810584892585279,0.6371181040853949,0.5626111821810628,0.5734068871831335,0.6718546816455874,0.6290173532645824,0.7067021037829238,0.6184956688449719,0.7431924544069931,0.7534616092829077,0.8421608521647043,1.069204087791009,0.9784125529443923,1.0191590714764351,1.135687564372635,1.5881402776091433,1.9860272981532983,2.589809092139847,1.6197763777396408,2.1601281723052885,2.6860391650875672,2.1079120739764527,2.585060734493807,2.429548563296343,2.1177556865019094,1.841759027612336,1.3829226285258094,2.01213834810555,1.2308056098837812,1.4726338842902735,2.2654476250528215,1.3497035831397997,1.1010246147555733,0.9669854190660254,1.1859771397818752,1.1727615898890624,1.0411843116297774,1.0447924243858961,0.8745532713972134,0.9693863378569251,1.0416081391548897,1.0558502084223216,1.322635512486464,0.9978038253812589,1.2665547574672678,0.8732123253329499,1.172372220307437,0.8707482727396565,0.7936536619849551,0.8075546361293248,0.8922671034000391,0.7180797481579214,0.7966366442629886,1.1049729817786091,0.8330021114657201,0.8072901087758311,0.7274927430848792,0.7540511401819361,0.7518346608176861,0.7811747784614697,0.7310866153108684,0.774100977814047,0.8378116677550262,0.7790058739435248,0.6451214247322539,0.6042445838909843,0.6999945809520282,0.7034300651203508,0.5870866812499865,0.5463576178104055,0.6543722805634836,0.5562656378730749,0.5991122362543607,0.5512336620960683,0.6175866248882944,0.8889339017005671,0.7700862718953742,0.8285277032192803,0.8785352450675603,0.783681489128593,0.7301284893044446,0.6472253177075761,0.5851819430511074,0.5198091503241824,0.5286286087225699,0.5563493338445435,0.6243688502338459,0.7621633455141529,0.9290650673199062,1.005317574312539,0.8037700809006718,0.8521527711929361,0.6900842162934917,0.7197729689197938,0.566282653810774,0.5183061508438827,0.5278428052019685,0.5614870896939989,0.6203713393896808,0.6988883272900359,0.7374440581783028,0.8251450924681841,0.8872638141113292,0.9257849338119725,0.8411469018449351,0.8303515662043222,0.8517443698936252,0.8918716002919344,0.7627929680902911,0.7063401881361491,0.707000893194871,0.9493465683737192,1.218817705168188,0.9028581848350551,0.7794819348908217,0.8210309934053788,0.6585177533127272,0.6229224425972177,0.5582079814840935,0.5187435137352123,0.5036728787112117,0.5920331064471167,0.5500125528174729,0.7354662180609296,1.2500170173618164,1.0961421929199664,0.5775888975256861,0.5398028064609155,0.5548194102743583,0.522583839054196,0.5673161947452322,0.5727407087500366,0.6552906763200169,0.7041646461208473,0.7679399415814326,0.8475234017843036,0.9434854821416045,0.9744264832396926,1.262501327226969,1.3613701024549032,1.0143025780013193,0.8945980914969577,0.7852546001656935,0.7764204276408513,0.7354269177274809,0.6823591732858469,0.6409198007999558,0.6189838911729715,0.6197324601370487,0.7455132169242984,0.7182418969030111,0.8013145842635291,0.7123360303686332,0.8532377490262743,0.941444323366537,0.9061498611070042,0.9980435531979256,1.0820171664898535,1.5370214891465523,2.2784635003253677,1.780884771952775,2.08712679008943,1.927251778001045,1.6870409789025185,1.398023868818408,1.1678748687968392,1.1916134101085043,0.9905200986846157,1.0224071104909627,1.0302906635432911,0.8829592031689099,1.0240122281470223,0.9142414157029776,0.8360165606623403,0.9929591872978132,1.0414074885303735,0.9455194083603604,0.9967289439209756,1.1377641531698601,1.1238192434309722,1.0839907586369946,1.2013456327592573,1.3026120978079498,1.2326632008520564,1.2966922105083682,1.5225092926789896,1.4875383145484784,1.5468701037029564,1.5523206842523083,1.3991151742862304,1.4734195183429164,1.7374224476774736,1.865001834552686,1.8521234134036777,1.7371709526072838,1.506839203445882,1.4138362849108654,1.2845415057792593,1.433979985941042,1.5894091412346323,1.3776868439751395,1.3028352153602862,1.564173734266633,1.510596314518303,1.3375396331388534,1.528246033054447,1.8096348245631007,1.5126013960354134,1.3960948757905158,1.1864823489306728,1.0123007916880942,1.0882765484199561,1.0792828602118572,1.0316565858843192,1.0971071511943187,1.0322484244170125,0.9841262848603599,1.0855653852971363,0.9280321643981743,0.913601929601412,0.9594408164489449,1.002150884847534,0.9934712866825709,1.0268531623430868,1.174246147271526,1.1616917494182555,1.231538413903228,1.260588416981435,1.3649149493252442,1.3491469361860595,1.3243988008754852,1.171385657764218,1.2572639418924008,1.3957275909122113,1.2845466144549886,1.2898687955487853,1.43787289991759,1.4181273270987806,1.2883391781923643,1.4679486551821177,1.6253952329813652,1.4202684289046532,1.4855604746533724,1.7214556585472185,1.826610476606525,1.6618729316567524,1.4212968684635388,1.843754792537881,1.6051348855426424,1.6807593982517564,1.3948986404229817,1.2466116053027996,1.155037565832528,1.1966961631105595,1.128778451679809,1.2429488587542659,1.0254818744084455,1.0794628330072427,0.8714845811259345,0.8594311883580328,0.7105151612559012,0.756237940555437,0.7364090517629387,0.79718774678535,0.7408045288751535,0.65856477735909,0.7507466620566084,0.6546105070076339,0.5596617565082684,0.6031185589464795,0.7287755224608253,0.6123882975500908,0.6346788333712516,1.0097353698462963,1.3325450407037545],[1.0211699753053614,0.9687981420307478,1.0166235553267176,0.7188135698070695,0.8218959206287267,0.7753880448587308,0.7034364536440272,0.7285390740714955,0.7262472663717586,0.5917723433787353,0.5831011885199636,0.7000530108245878,0.60288089020211,0.5971901342401107,0.6310735512732151,0.6061780077427021,0.6579331061991428,0.7016286295342724,0.8454469397302772,0.8581321026339956,1.0240932721609735,1.1305897383489056,1.3700717934592113,1.4885724020080362,1.3069360145042248,1.0592981306291442,0.878915636697754,0.7444748139683289,0.6788246926996091,0.6051904682920476,0.6250731221845947,0.6249881649841876,0.6293002401592269,0.6769719648438349,0.6406584301303011,0.6881318560184928,0.660519484432971,0.7215375483615954,0.7454951478796314,0.8634311668082418,1.0790288462623465,0.9246641118927539,0.9725240167036552,1.1326451352657108,1.564960328556395,1.948955887217086,2.5556922220942373,1.6141167713291358,2.0888530775270304,2.6950082483082802,2.059326998441316,2.530510918660083,2.4281209447585046,2.1204315033089514,1.9405000100565193,1.4087087873620223,1.974828615948801,1.2560056216390592,1.5145151396237744,2.252777613726864,1.2829731635205446,1.0314290066606357,0.8984918540207572,1.1151247849819688,1.0924254764386414,0.9600431738066363,0.9609454146357762,0.7983842276155838,0.8986459768709865,0.9945208031235396,1.0271404791466092,1.3169061433412912,0.9543096110009383,1.215218139019154,0.8015777288736026,1.1099824184901608,0.8124985957431656,0.7426470017982196,0.7748555723373768,0.8539497566079086,0.7386099280936569,0.8193270774763379,1.136514817688255,0.9244955660402111,0.8468742518332678,0.7683691261006129,0.7416374492054346,0.7808698314016435,0.7329097313564699,0.6993306406962958,0.7240607444566927,0.7844680363379167,0.7383438358364304,0.6260251905017407,0.6120814079871401,0.7144092487158938,0.7293406669839467,0.6344743988320649,0.6393444691317881,0.8071043588815617,0.6651142278918132,0.7858981555768932,0.7201893041864718,0.8470304678333209,1.1045206089630488,0.9613121000149343,1.0641680898927646,1.1202827691679567,1.0513585122016604,0.988517475876194,0.8910237332738583,0.7804621778495905,0.6892740282402878,0.645178562349141,0.5952407710549001,0.6391294792650299,0.7518564053318415,0.8788680321897232,0.9488418402540544,0.745905798290684,0.7972248597613456,0.6576009841039004,0.686595515635453,0.5734406531008456,0.587695698618777,0.6461131036799619,0.7837065371186009,0.8102122803007199,0.9222614053411058,0.9572779330250124,1.0604307651003164,1.1628172744292893,1.1385917976878261,1.0553983611244766,0.9942971482058452,0.9709540676945009,1.0123942469093583,0.8344600962838692,0.7502999442307965,0.712685537093443,0.9095043696267072,1.1687466385724736,0.8554365302688656,0.768635235656895,0.8092321928434694,0.6844569217284017,0.6642768598585721,0.6356125696792166,0.6597970022380724,0.6633513636189795,0.7905245057854912,0.7560032792468507,0.9342603818425503,1.3801069371326615,1.2012811424127567,0.7719575679844586,0.6943160259754283,0.7618080111734619,0.6597125453146603,0.7498105787348945,0.7093235796430784,0.7271131066914096,0.7543130505716557,0.8150509426760526,0.9034996116454672,1.0070341049728753,1.0363193383933396,1.294517832854168,1.392505783565157,1.0497932726026793,0.9855891512677367,0.8561869598812523,0.8659233784332321,0.8460535005490962,0.799042728324225,0.789110545246369,0.7288037058211803,0.7584685521877099,0.846301820084823,0.8668109840821707,0.9364976309236247,0.9062474670908235,1.046222606771103,1.1167587093663656,1.0297750571308444,1.0378039183656005,1.08602058493762,1.5660138675589454,2.259062476849066,1.7792428165740357,2.0229798084023107,1.8265861000747552,1.6850796447205152,1.4882731219249508,1.34933429625096,1.4279140469706209,1.239965024643958,1.298473155930516,1.3185385983580258,1.1733321714583684,1.3691610271857455,1.252955318010562,1.141119254170034,1.3196650489714379,1.3927367325500293,1.2686570733605602,1.2904346369506017,1.4675161773869707,1.469513166091102,1.3795865450566747,1.5042217882076152,1.6225675091474165,1.529252547471954,1.5899651447554883,1.8044949089961488,1.757505101160676,1.8870748554776373,1.8818338294500947,1.7502722175220502,1.8429911009676583,2.0981865721205875,2.2848783638964836,2.223198816227705,2.078542859101441,1.9013975807569996,1.8307907803584904,1.6791297389702233,1.854854253231335,2.0024396167439944,1.7499186146093646,1.67043604215167,1.9364413882238343,1.8699220248359198,1.6913089192950241,1.8827450775857733,2.138404177528635,1.84040946565662,1.6611536580322717,1.5059301754287844,1.3309815248690486,1.437521066936527,1.4709641275376835,1.411596099515526,1.4821461342670317,1.394705348540313,1.3580922471877996,1.456222704754636,1.311447237357708,1.2528824792660207,1.325981682293872,1.3677611531599483,1.326484108659902,1.3659239554397298,1.542166169073824,1.5189465420232,1.5261451053854824,1.600281943993796,1.7270171385751367,1.7152077352285076,1.7095851134052675,1.5586789485337897,1.66061499227171,1.7930440734875233,1.6523408839194575,1.6701585012522158,1.825337227271686,1.7908612347265138,1.64831493490127,1.8485691844796095,1.9984410862576676,1.7810965892895532,1.8407273020073691,2.09287134603136,2.141186001317094,1.964491200825538,1.7333323746411593,2.108318238368234,1.8778804732443566,1.9533200450411743,1.6359809713017257,1.524462986053086,1.4132924987149542,1.4187385002844914,1.3649488190508423,1.4792990977204121,1.2779801433375666,1.3766686674608055,1.1289402112564442,1.1248459039964902,0.9466829956107955,1.028242770502811,1.0317218316500827,1.1253268773847194,1.007125963955592,0.9207368033358597,1.0536172784009346,0.9524232625208124,0.8094454091492893,0.8658110641555954,0.9450069265992636,0.8591430121036525,0.8351154666434619,1.0692861331972001,1.4323624377088164],[0.9329555809444616,0.8636104914761118,0.9529560851223493,0.6532772709346752,0.8380687121581291,0.7579095468637851,0.7050795918878493,0.7390490273560691,0.6930131806249462,0.5806966880917561,0.5661077206635943,0.6714372263444577,0.6340314294716274,0.5966288915964669,0.6476318196288134,0.6616924234468696,0.6828469947738391,0.7287709357925112,0.8529641053278866,0.8875405120870659,1.0210811831913993,1.1516010456543149,1.3682682889634825,1.4791048408216452,1.331292970638036,1.0668490298593742,0.9349847836256304,0.8155640164368324,0.7517463685621919,0.6948544885995876,0.6711318195627001,0.6975237990638558,0.700607694939451,0.7195923432991578,0.7115656191359994,0.75220759101563,0.7532174064318234,0.8247556582270064,0.851493449302779,0.9673616968893183,1.1644653724155885,0.9946304380917673,1.034791036602224,1.2038214682810218,1.6239730703031998,1.9926749221327151,2.5328127748716893,1.667416448348507,2.1186895550467013,2.7501754895229418,2.060750916942893,2.5154667417116845,2.443153081517623,2.144863779028613,2.0349743267441185,1.4712674392551788,1.9715782284115462,1.3406207925497668,1.6303113966049319,2.2368331466650067,1.276610702520379,1.0587363423743308,0.9235799872288285,1.111039646522177,1.0974295442716853,0.9655078138613982,0.9381483315520803,0.8025040670833926,0.8855058534191222,0.9813206493926374,1.014180843466537,1.2814058427300832,0.924398122825878,1.199086064248202,0.8141790987258394,1.147717432222216,0.8456661183764,0.7912226146956666,0.8344406326936232,0.9181714488524085,0.844757610937381,0.9242756443137469,1.191668536625713,1.0393639696269075,0.9487318038016712,0.8670991800951152,0.8361744806553055,0.8697715677507697,0.7905430054869862,0.7548589278230673,0.7509413931408324,0.8184177746644903,0.755838413043154,0.6545313702331793,0.640338737627043,0.7007239943259561,0.7095703598803403,0.6385420402846221,0.6420008394994808,0.8260205868233095,0.7183706791706428,0.8204873679125773,0.7960716275230724,0.9187946388803213,1.1697581295208386,1.01950617966746,1.113132357612494,1.162841102816343,1.0826590567924628,1.0168779668524632,0.9246540282904904,0.841303812805623,0.7317201804841358,0.7225981068857782,0.6625390218507615,0.7010290074990078,0.8069609967438853,0.9176171944835922,0.9849076982207176,0.7629478806866408,0.7904749762322016,0.6646960298820456,0.7037667844362995,0.5968159598162062,0.5906125689398778,0.7220582769096593,0.8160577086950688,0.8601681171856723,0.9680271637192366,1.018603335137655,1.110717854123088,1.2003639253318332,1.1777326222605902,1.1144272590960147,1.0597261649776926,1.0394095104148562,1.0588810938698996,0.9224231059905437,0.8581642567724969,0.8099526818424116,0.9890001886499394,1.207451227318537,0.9358998587537387,0.868986683903054,0.9014758912792867,0.7954132287998026,0.7714952074385344,0.7371757309413537,0.7397247892839047,0.7050338427257207,0.8133006275628972,0.7706834758960721,0.923638496708569,1.3465655867681183,1.1528141098955433,0.7830418206032209,0.7167120904847225,0.7973401581330654,0.7267660849895261,0.8257277240206388,0.8129238411795504,0.8334234672862101,0.8595845083349359,0.9216383670212486,0.9948042452016086,1.110192041435899,1.0963863469640014,1.322730430531388,1.4194781599697326,1.106312377914235,1.0511943393020546,0.9423898898834375,0.959036312600024,0.9417017210259628,0.9042402529833748,0.8879588140060238,0.8346461570725857,0.867527900642699,0.9508552585850466,0.9698169025454725,1.0211919243255707,0.9821048431996321,1.1197807015595915,1.1790775600522063,1.1058760573854396,1.1098879741300784,1.1549148324303533,1.5959638562895002,2.280312877547239,1.776483623441705,1.9792029584419473,1.7944904044497947,1.6653239009933452,1.491845353732032,1.358905213422773,1.4264330306560773,1.262921325899508,1.3143160393636464,1.315249089800795,1.1878364068287113,1.3414727877498231,1.2324048240275236,1.1396088170094907,1.2825507404823335,1.3283627681512868,1.2116297721003562,1.2366433683354425,1.3722743397059858,1.36002751704667,1.280341984167657,1.3879204020782359,1.4770766437366853,1.3890548510234346,1.4427473273686002,1.6414724180178952,1.630699069009366,1.6802488959953121,1.7036065453579337,1.6007628709509394,1.6599125186847214,1.9313233727235235,2.0522928224864785,2.028627741309581,1.9080479457543644,1.763592379345763,1.6982491710493497,1.5860706429127263,1.754449978322176,1.8695369540451128,1.6672108117666842,1.5902700805949945,1.832795844095247,1.7675014243597826,1.6217103444061618,1.8239926994482358,2.043322020209444,1.7563151912861523,1.6372488222354749,1.470691223859084,1.3252533197652394,1.404166202523396,1.417463988956613,1.3690667320696728,1.4112563364568897,1.374543609395453,1.3249854510595418,1.3828183086833246,1.2554822936574535,1.2209580783346825,1.258696490855966,1.2764964400598278,1.2366082374083691,1.2650740432655134,1.41321099856172,1.3781729074545186,1.4007533815194857,1.4440944377251115,1.5505730811536398,1.5498257856187174,1.5653527157745557,1.4500779174878609,1.5283592331138296,1.6348874714680337,1.5340391940463731,1.5652285751124055,1.6809033040223416,1.6474949230289015,1.5498585340329378,1.7164964101487141,1.840445006787831,1.6530251500489437,1.7387948698948699,1.9570499360539524,2.004417968569762,1.8607839029946471,1.6272149437833747,2.005412905434975,1.7380979029412331,1.7687179281040586,1.5401910180461555,1.4370809155525366,1.3341400986287628,1.3651517709008936,1.3275040616087133,1.4346403681433435,1.2630373226697735,1.3292732251419597,1.1395910426161056,1.1439103856114694,0.9822689033749673,1.0273755851650923,1.0366134221979197,1.0949929641833078,1.0131697308814551,0.9106474319638326,0.9929241373782653,0.9041821892480193,0.790302339303572,0.8153426043083637,0.8740362586095364,0.796508402332248,0.7779577221629885,1.0360993698547059,1.474955013533824],[0.8363047364296983,0.7611071060793474,0.8353590330435638,0.5397387995419862,0.7035976383359839,0.641944269855404,0.5682297770329958,0.5951574204436471,0.5751436748372915,0.4604129437792549,0.4467470652784601,0.5807614596112399,0.4951207715648793,0.4790009070878188,0.5199216813594615,0.512880627162295,0.5615160663148135,0.607226893398083,0.7571053733327164,0.7819244738602157,0.9209081133235757,1.0335669267915302,1.281774445171279,1.392712795370251,1.256133831105956,0.9866863643701838,0.8165951915766637,0.6932343664147675,0.6141329059638804,0.5350785532359827,0.5202762089645067,0.550016058612628,0.5428008388108794,0.5858734810333311,0.5693528712985154,0.6230382611451993,0.5903723361001679,0.6779653333643533,0.6992610190526061,0.8020998894536722,1.0207446366451836,0.8666480503500252,0.9066783506773793,1.0575667108126803,1.5543698527593657,1.9668251484137589,2.5004044729306623,1.5706476004100212,2.116537015448999,2.7188847410059624,2.0088800974330097,2.4832538248653293,2.378223577821401,2.1308164343161122,1.8385529568306103,1.315945504205547,1.9414054938376204,1.176322308754545,1.516858369820181,2.115318501491496,1.1860596104103183,0.9321298621455575,0.7888659103637046,0.9743526716076575,0.9905040842831663,0.8625628101420635,0.8358353140459388,0.6969671218868677,0.7897534526872664,0.8912929845356955,0.9364093198248193,1.2043004869827134,0.8430247809222283,1.0833930766066786,0.7198231003994606,1.0587676809147093,0.7200487037538922,0.647698133537309,0.6875198323691571,0.7904607856438536,0.6764905917624114,0.7657622679911728,1.1119875636183787,0.8622557417534185,0.8010389398218006,0.7102037031483998,0.6825748494833944,0.7175442731754277,0.6650856020357229,0.6203570404880012,0.6390430148434167,0.7156128723362759,0.6367961786978681,0.5099422048116575,0.497487430074858,0.5819452718282009,0.5967215951703262,0.5107470822426989,0.5153296364094291,0.7194668525239478,0.5824772200982457,0.6848716124913549,0.6238767502596163,0.7363974143944143,0.96482999371224,0.8528704616977558,0.9303386499381252,0.9662747203765344,0.8832953337222295,0.8191621753880197,0.7450491223446577,0.671375170081192,0.5701418908471562,0.5679343263325255,0.5122408382757453,0.5740315310003761,0.6999343609165949,0.8320277796144043,0.8765215684098089,0.6484084917040738,0.6989635949628872,0.5436087846790656,0.5873545927408963,0.46955469778046166,0.458902982731191,0.5700031531445032,0.6694255149586656,0.7048733612945544,0.7901765272370828,0.8210999980367959,0.900436589870272,0.9640886523917088,0.979802225449944,0.9200838915747743,0.8860905835229143,0.8838398869584616,0.9168887305160841,0.7713218148005718,0.7082103606497756,0.6705710684170066,0.8999292438388011,1.130489157087814,0.8345274401158179,0.7408112297904833,0.7664037023707555,0.6348618013094492,0.6126051493065786,0.5635014807161564,0.5675962072414378,0.5424026274362045,0.672587505683843,0.6350743970497638,0.8025075616271717,1.2813592390297033,1.0936294241521647,0.6575665532019286,0.5812141946330193,0.643820630896915,0.5691992120816473,0.6452724234493199,0.6383463695294145,0.6712466628626492,0.7060762092673764,0.7577979924663677,0.8478666875187469,0.9726877588697673,0.971407623541458,1.2339587360222493,1.3448142806736962,1.0162895813744195,0.9123641372676905,0.7987787661669715,0.8018293493118276,0.776698177135815,0.7263246238379125,0.7087000968132392,0.6686513783583906,0.6817880830927932,0.7771288263449055,0.7838062546541653,0.8588312000018972,0.7960190031509198,0.9217829562630546,0.9970750356362986,0.938347493419741,0.9774361292205301,1.0425020726265388,1.4891017827136033,2.2575256457678616,1.713634524453504,1.921832657723395,1.758255524382339,1.5849126790326882,1.3600563341818186,1.158342448903299,1.2015698245563966,1.0580874471919077,1.0945638812513878,1.103106350337451,0.979562837323151,1.1165593560219156,1.0214053679325759,0.9408412366558813,1.0826982318394716,1.1298524442128302,1.0392354538808806,1.0752632687608144,1.2014503362501658,1.196955090552855,1.1500413833582865,1.2530628361407756,1.3440825908516885,1.281898086167861,1.3449197857507258,1.5362414110913463,1.5052833906378418,1.5441060841058893,1.5416420618184696,1.4186993243387958,1.478828306003747,1.7384811462422574,1.8461402494764907,1.8373646271430257,1.7399529246985643,1.5400483217244025,1.4634002601775142,1.3536063664127402,1.493118242691282,1.6245723340912823,1.424700157351472,1.3717225979701897,1.5947939231231778,1.5481499249020028,1.3877805283144509,1.5243323199057852,1.8106640808203054,1.5285238899519784,1.4150709214065003,1.244904875113806,1.100082728005389,1.1631610269650428,1.1754480061965962,1.1344866332246812,1.1922636186249207,1.1471883949939954,1.1004719880965026,1.178008475485544,1.0441083247869045,1.0232235758838468,1.0657053631981825,1.101166279793672,1.0795560913858993,1.1126998039047293,1.2483363994879597,1.2316891433261226,1.2889698676578847,1.3079977276854573,1.4023460761745676,1.3871029176722507,1.3743187614432832,1.2473928391927205,1.314642756596992,1.4263272278807355,1.339618295382608,1.3462000730290604,1.4660994113745074,1.4458894708518442,1.3417600688823599,1.4900977553861856,1.6277559570687075,1.442268720323411,1.5073379769581463,1.6947395007554664,1.7831942877232483,1.6319211239190399,1.4248358263374032,1.7633984876408557,1.5689204718336833,1.652124593846677,1.4096907714226565,1.2852252962771675,1.2103413557657818,1.242548084323433,1.1841177517020316,1.2699034494205483,1.0707669041407122,1.1387069090922635,0.9585655026884269,0.9504301912440166,0.811010829452196,0.8583434645538448,0.8517552296396722,0.9157360716795249,0.8457053461846641,0.7645279241203435,0.8533141129152819,0.7705361824814088,0.6621275202321028,0.6969975034758745,0.7823330176195454,0.6937507826564989,0.6726558503826973,0.9632581549505442,1.3731847301663946],[1.124920848332324,1.0484168104201086,1.0821632416077567,0.8922589951742108,0.9350489276737671,0.9520292389498545,0.8822913535586943,0.9079563334787967,0.9330082201522206,0.9020940290171312,0.9153048855814264,0.9875574715535317,0.8693879677988064,0.9514085860868049,0.9450395807181574,0.8984672319564805,0.9222008054904052,0.9721312523806132,1.1150139733938018,1.0585277425982922,1.1731909730191497,1.230831871663221,1.4566291170967804,1.569850255227444,1.393942552162611,1.2131676671248834,1.0259124898160619,0.9665351929590772,0.9190516026253143,0.8517443090425598,0.9051697286553901,0.8822986586259894,0.8933888669849757,0.945514466387044,0.8880397378087319,0.935483634226386,0.8391654829570405,0.9059036347118812,0.8881581298243506,0.90433200239013,1.1411531871630476,1.0426478240561894,1.0531961468060846,1.1087075567796771,1.6311833779373923,2.0243529365002835,2.5286211113929413,1.6207086153396992,2.160325619579076,2.7269171081778567,2.0055275369075627,2.4621742933743906,2.3414377482025253,2.1343249375908906,1.807857507676628,1.3410380433625195,1.9891248909986767,1.2188251550633358,1.5864834821616915,2.1317866768321756,1.2947422896456484,1.1068947111186431,1.0216516208334074,1.1798549340647229,1.1919634937346546,1.0841895237785295,1.1293432686588112,1.0478928966352639,1.138093985314788,1.222582227868758,1.2450319448087144,1.4858889550606496,1.1948959810641524,1.3538999363991162,1.0971137915133644,1.3243073613561638,1.0193484907451824,0.9631147774610579,0.9542298168633673,0.977116769943244,0.8852707686313729,0.9029949194182407,1.2801815777021468,0.9564380602529302,0.9004618586183937,0.8742970464214906,0.8829251983464621,0.9103384233566292,0.9448208571795262,0.9285069597945964,1.001884335389006,1.1155181794421922,1.0395106642710659,0.939682410645949,0.9411277663342564,1.0098640535211694,0.9997130073038311,0.9267936256152759,0.922470681854262,1.054661027123399,0.8962049938998939,0.9491900077834319,0.8606772057375836,0.9345367049673583,1.0250524413877782,0.9694945455712394,1.033681756257371,1.04309387177547,0.9931578157091693,0.9439391270347305,0.9084455496031061,0.8497919138639226,0.8292716261260286,0.8288807232323818,0.8479049905521902,0.8947859783174291,1.0013436025629205,1.1177912776448216,1.1740585643086983,1.0220149098685343,1.090295913693169,0.9642866584444745,0.9696025023114542,0.8721412462405753,0.8316227662659758,0.822211840834304,0.903617227664641,0.8709883557244432,0.9007612140997971,0.9087139438611811,0.94900308980115,1.005613389309356,0.9922256921955309,0.9620701898584586,0.9122115086039788,0.9338025341571745,0.9462007397181494,0.8553114396776198,0.8594910741903478,0.8532731902493298,1.106505071800637,1.2972633410572674,1.062985178122035,0.9498369357546589,0.9622575696231281,0.8569613185347775,0.8422829023076497,0.8232147212207829,0.8058626133119149,0.8375729805902126,0.9236047738975459,0.9405640294015035,1.0549527531996301,1.4119475210132866,1.3303932392766589,0.9771510586012467,0.9035382883889004,0.9103175830637835,0.8557284542883943,0.8489706657822561,0.8049038756812515,0.8429175634512459,0.8352202261463607,0.8463704704383335,0.9204796978490221,1.033686298383749,0.9736215862396055,1.2203037557113514,1.3113850581037092,1.0325783725575857,0.9299776403208432,0.8663377765714881,0.8663681442757811,0.8534553381171188,0.8318679657351609,0.8520761940792558,0.850397701529028,0.8794442183651184,0.8779125034395577,0.8680467937489063,0.9152954098883622,0.8891486671352632,0.9367578473418475,0.9937576315396347,0.9371654544864201,0.9986584191679762,1.1050399436663885,1.5218957777958617,2.3069772678106233,1.7256999795154544,1.8776811903928465,1.6963182028949868,1.526371721273897,1.3155152242810526,1.12123324985298,1.1908459768384425,1.1056167812612663,1.1654889562796547,1.1943964926153947,1.1023892846497274,1.2700854598263918,1.184953590424417,1.0895901282973057,1.241115966336572,1.3307060256369494,1.2324099783549018,1.2435304708373078,1.4005846547965484,1.4296326048516441,1.367565638018092,1.4672540450286786,1.5852732713245707,1.5180335560689144,1.5693634381051227,1.7534443402918332,1.678737784950665,1.8029065715575607,1.8002476616282141,1.666628419922869,1.7594250896935715,1.9950133893249615,2.1563390599427485,2.1168729210235426,2.008610090033624,1.792303638438172,1.6935911210113594,1.5520153708844042,1.670718083889857,1.8336217919577447,1.5887793106411656,1.5587843298074677,1.7729248205705503,1.7326486560327194,1.544879971851043,1.5994271654095689,1.9279642920877023,1.652743983566102,1.4460683630877418,1.348501778837063,1.2120186220645643,1.2918540173237651,1.360404894964364,1.3023546627279947,1.401382005582753,1.2919226453269885,1.2626286737651404,1.3800042618591994,1.2735189631542412,1.2154033513142242,1.2874829588013739,1.3528262716558108,1.3224842643409445,1.353199162749177,1.50484063795451,1.496515657067003,1.5556649043839401,1.5625108299502384,1.6744679638524793,1.6466532039610997,1.637035869918353,1.4852555303331259,1.567659330520764,1.695556134886779,1.5593587609033177,1.5573366445697907,1.718553505608264,1.695595156598115,1.5449490971338578,1.723875675625421,1.896317126444463,1.6614476297101768,1.6688792949436033,1.9011866449076167,1.9937974311682019,1.8045599790428013,1.6081354570882778,1.9092465392973055,1.7698648440433615,1.959738290836884,1.5623254637331934,1.452979897297814,1.3672813603037768,1.3502195769691672,1.295147650817152,1.3555478228046098,1.1659858759122872,1.2613954231464055,1.0832194884390434,1.0637900840236376,0.953432914372836,1.0297565404613223,1.0263701256040805,1.1284425163439606,1.064746313781894,0.9899383246402051,1.1191145698768445,1.0827228772505542,0.978618602849461,1.0282433698583797,1.163618009463318,1.0767015928394457,1.0476029165820886,1.1994727725860403,1.5948580530971013],[1.1726135075930137,1.0751770010993873,1.1604752764660395,0.8238017932034635,1.0420932491310493,0.9426307093022542,0.859091639832334,0.9181496370492037,0.7972049878551879,0.6645780167136637,0.6304280658021134,0.7736253154941037,0.701920052850255,0.6277876066588781,0.6341426943162932,0.6884385763607948,0.6782484474130123,0.6850026409987703,0.7740842343048528,0.8106716284132202,0.9098738781873449,1.0840859317356668,1.2443300805284414,1.3804172884734915,1.251473290537545,0.9713259864850845,0.8921384048675284,0.798692980592095,0.7601443738660678,0.75533983151569,0.6441532537063526,0.7789555515839095,0.7696125700516406,0.7632500589305561,0.7683363049701131,0.7715067419941359,0.8458025189481057,0.8615262742495856,0.913493726001052,1.06926868945229,1.2218936907215336,0.9838496176894082,1.0479960737780394,1.224261173917484,1.626245200078426,2.03161136908327,2.4914548525123097,1.6584253471253352,2.09806697274165,2.7628077484824702,1.9493819257892375,2.4614212628217027,2.4346610190574673,2.202492937203035,2.0828092700835006,1.4917021709171139,1.9487372195292099,1.300457494995624,1.7139666981695143,2.14704080716537,1.171814332516106,0.9580550934315579,0.8505202655905849,0.9890542287754752,1.0151788953589205,0.8985267130482836,0.80154116252978,0.7121223089378012,0.791898253328128,0.8763553450611191,0.9216054668335755,1.197048791598577,0.8160339887101,1.0874181100296745,0.7234141850680292,1.075585878522369,0.7739026340193131,0.743342783628134,0.8137286017064127,0.8943926614695401,0.9122396535935156,1.0304089985940998,1.3371593776853743,1.1901618202262432,1.0890943349222675,0.9782407070174449,0.8863756872930597,0.9766799353696395,0.7873287339352641,0.7655639752076402,0.716745376228105,0.7730632794248936,0.7055295324209203,0.6206426334416657,0.621230540388493,0.6664557932328201,0.6901404436447063,0.7321231369193095,0.7773302108870278,1.0259342168382635,0.9021706996121893,1.072548100521238,0.9821319866160648,1.1676978427284936,1.3470382409667947,1.2487410518906334,1.3803276506033004,1.4313700263892806,1.3593202326720584,1.2687294465373895,1.1513958104947648,1.0346248379551264,0.8940133016114471,0.861317658146895,0.7207221015206939,0.7343519076317954,0.7937217800522908,0.865620592100156,0.8847847275641874,0.6920788773516106,0.7254300924689353,0.6141990231954205,0.6486369463908391,0.6039989666621898,0.6538168912526257,0.8538252985231995,1.0427135046200382,1.0631053103918422,1.1944736711667587,1.249249470178497,1.3558257392731825,1.459249708845783,1.4029759455070174,1.3573737077151804,1.2592081580148045,1.1947152973670292,1.2086951303884217,1.026667535910111,0.9373477781442489,0.8918528852521687,1.0080908877402075,1.192619321858814,0.9512107860095186,0.9001391537550456,0.931003918259738,0.8626792551721513,0.8522452715397598,0.8367915501062291,0.8896722772782143,0.8710604492727089,1.0237464494866368,0.9820874249020383,1.1596792988749762,1.483327365587212,1.3078671738280163,0.9920385901739182,0.8884527434309691,1.015910990818133,0.8778305012484238,1.0168967536539424,0.9847746971645659,0.9510686058952973,0.966925194910296,1.0335445667936811,1.1477651049612634,1.2015779863270322,1.1876522934573273,1.3456699606289995,1.432969781057948,1.1775153009534665,1.1797896961562286,1.0676344181289443,1.1118199698338145,1.1132799212491784,1.0650062390934316,1.0855497317770681,0.9786345482399953,1.0727489017011198,1.0868586060574081,1.1592455181502932,1.2119922294086158,1.2013766249992541,1.3215845440327785,1.3699737194398878,1.2718565200737726,1.2371101372492723,1.2645452381735627,1.65005570417002,2.3870328188236702,1.850813011992038,1.8982906693269954,1.7147003383097799,1.6872431341364447,1.5964669357564645,1.530830556467696,1.6453320454431064,1.551260538269655,1.6262742527923306,1.6368026795130994,1.5130363619214384,1.6899484924788868,1.5722487448102733,1.4495971586981375,1.6196279367540565,1.6876037150595646,1.5190731372901916,1.5188732150795832,1.6893047270367112,1.6707279130802757,1.5309368651269681,1.6346122798289764,1.7313219964647422,1.6014945163281806,1.613907369141785,1.8212553951907309,1.828270216448414,1.9371674449601426,2.0012607321063025,1.9274529735776667,1.9858752252154959,2.2760639196064414,2.449037182796029,2.3709946407004683,2.2707211033390875,2.1118528866970188,2.0689802277994835,1.9478768986727368,2.1280316422709338,2.230406410880098,2.016916539273632,1.9895387302002456,2.1775870742063907,2.1247954772587034,1.9933682460254236,2.1183052954221386,2.305573583377623,2.08167677713183,1.9049937922906472,1.800125726865116,1.6692805852993604,1.765963045811643,1.7849003449595287,1.7262858335149502,1.7563936605812267,1.6887727448739605,1.6589201934205022,1.7476058823784089,1.6118321250526513,1.540137564452596,1.5974096169510335,1.6040703758540336,1.5319363700181814,1.5636465971559503,1.7190638906133557,1.6761272796963915,1.6484987373162958,1.713808518050078,1.8438115705775997,1.861920145202973,1.9166802574995898,1.819167993107826,1.9231793223567815,1.9919002433503996,1.8673091698021234,1.9399377761875134,2.0607888641302083,2.0128426972797357,1.9299334367199692,2.1138224601724493,2.220892548991556,2.0311185050792444,2.099229178065949,2.3222071149082746,2.329739474684759,2.1820251657076026,1.9663199522686168,2.232087561134724,2.05371007272166,2.097277156497701,1.7639981688483821,1.7003748274086992,1.5339711299119172,1.5241535286699313,1.5585897618741615,1.6795023462085887,1.5636169647022178,1.6431334394553672,1.402350280347212,1.440217034777767,1.2229345151717959,1.2759359983765952,1.306364055533726,1.3808350845389676,1.241300176752978,1.1610033722069364,1.261266431291546,1.1791475618323384,1.0330025143685115,1.0560300710034243,1.1048636327939383,1.0418760065234227,0.9811540662750464,1.1323377361237636,1.6704856027947763],[1.066465555039034,0.9848506267305396,1.0563800017593445,0.7666448044177878,0.9687332411123474,0.9203441538354425,0.857617453244334,0.9057251168466292,0.8169154715765696,0.7287402669358775,0.7056017613158483,0.820885284608263,0.7624637289551074,0.7174149949567186,0.7315495975385522,0.7661260295117895,0.7716165889808896,0.7934769312635875,0.882140062015897,0.8950058813274834,0.9837672740717615,1.1374054031532286,1.2654540740424811,1.3980254204977274,1.2732575623650626,1.035175284182215,0.9521061939975931,0.8664302001246309,0.8290053130505667,0.8063035024113382,0.7561411165545596,0.8183805831368745,0.823993905133174,0.8066495944006558,0.810031062526225,0.8292955834022859,0.845043089950587,0.8777008619513746,0.9150059048155255,1.01792287649697,1.2046708426191626,1.019575305401009,1.0573562592642751,1.2138172304851131,1.6266075770614257,2.0241329008681945,2.454829686424004,1.6439087925920863,2.095181004845356,2.7840824615833277,1.9025631469118736,2.42655506674449,2.372654759164394,2.1784311231550166,2.042174577900491,1.4631437127200748,1.9367241785533893,1.3391959446152608,1.7674869700964029,2.1334276848019496,1.1974904145395842,1.0254143693629327,0.9316477909700488,1.0785051600783304,1.0937909880820547,0.9594548177631346,0.8901563724757563,0.8275807271682354,0.9082255858060553,0.9895797094707007,1.0869347458115324,1.3140547345502491,0.9554863915644202,1.1840405416558226,0.8588212608443002,1.1923233063874386,0.8834945861498602,0.853792077447583,0.8706090613551392,0.9610019478769679,0.911238051177987,0.9905587212141276,1.2751700916579194,1.1008740238371035,1.0210423036359957,0.9496390575365415,0.8982482160647679,0.9571366961060201,0.8432422421526544,0.8202321893053287,0.8200484432595113,0.9059018577353123,0.8156577129159529,0.7276821215994874,0.720190584728601,0.7495999477628118,0.7731834681095131,0.7779064787956136,0.809817242725042,1.0178552980990658,0.9262799892873754,1.0315820976107277,0.9366095516343034,1.0636243371494996,1.2461310541814656,1.137553065389079,1.2176091178655253,1.2298225612685045,1.172784035890597,1.1358744934015546,1.0500069942440282,0.9751155311854095,0.8798947869263962,0.8695137372806291,0.778070523769132,0.8083125413126728,0.8846438003203209,0.9081286316569204,0.9806716509246325,0.8022551899039274,0.8246700665705587,0.7275238739894416,0.745042906160652,0.694715528281244,0.7132481324217815,0.8622951724522475,0.977394464420705,0.9882990228228874,1.0723138711226357,1.108588777865288,1.1734112674338244,1.240809137760951,1.2046855351523238,1.176578483503273,1.103215660567761,1.1024578013551196,1.0850825789359024,0.9599751452270961,0.9035079641409605,0.8688414252101957,0.9919388585557872,1.160482064332501,0.9894791176414783,0.9281759118349937,0.9623828762446663,0.8799439162060727,0.8650223196213876,0.8586534561713117,0.8757637950792958,0.8667400007451537,0.9797264789232216,0.9510675549631376,1.0963484360198095,1.4821867107831037,1.3032224259628231,0.9679033020542476,0.8885951644507959,0.9789823153676143,0.8687942832743211,0.9563528255048345,0.9250647335406744,0.9323385584719169,0.9205609453047452,0.9613328711108976,1.0370500873441397,1.1486037643378386,1.0619472635014184,1.211484864236193,1.3077519931317363,1.0782350894493524,1.056293820801551,0.9713473380349021,1.0033748220620597,1.0149040871175823,0.9838680688639673,0.9988708977021993,0.9497199003142864,1.0087069774757078,1.0108557666920928,1.0580694770167725,1.0854714434584019,1.0666978547498076,1.1538239691271925,1.210055637229767,1.1209666764941166,1.0754712388274692,1.1603848319063401,1.5766829223058485,2.257662493096796,1.6957843043132057,1.744159215359416,1.600010023703307,1.516766729048335,1.4007040171935472,1.2944934516121327,1.3740669988732397,1.2989989490985134,1.3560791117994204,1.3682113961155489,1.2817422246351067,1.4156616518363525,1.34036924273639,1.2594524071052526,1.3775095512211362,1.4267993864104076,1.3356330894314898,1.343701497472603,1.4653158156170167,1.4608667264147064,1.3825882872888333,1.4726314145458665,1.546508700295064,1.465229029723448,1.5088771738907456,1.675519605768505,1.6825867390658171,1.7026102023481617,1.719532099570842,1.6454027541640748,1.685719372519971,1.9364452210060064,2.057274588201156,2.018806800582238,1.9326610492954912,1.7863001550794848,1.7277552351344065,1.6308941264077823,1.775319511635898,1.8764793503979833,1.6892316330241313,1.6213777401317886,1.80858409288697,1.7574750848177603,1.6369508904763028,1.7767160807743099,1.9822170116881759,1.7318366241221155,1.6268090277510776,1.4997482365565664,1.3909185344900195,1.4491307230452442,1.4845431908440947,1.4541889518370066,1.4970677998032615,1.473375836577132,1.4260633596352306,1.4866345904291332,1.3763050454225563,1.3402799122616322,1.3739865532105509,1.3895756673226616,1.3627295590428532,1.3825335552189997,1.5045095518726155,1.4759668427556556,1.49880961270153,1.5220397942485995,1.611671242756591,1.6162696283828477,1.6421175434463149,1.5418150439515608,1.5957334783364594,1.6796741138788742,1.6076851694802037,1.6231152123642467,1.7091003090653967,1.683822670512999,1.6014552758144767,1.7184547352857364,1.8152316206933459,1.6753165351094583,1.7397974971165218,1.891716003087764,1.9535147611548997,1.8262161080761048,1.6570605162279877,1.9219701390304427,1.7393764369585414,1.770848100078779,1.5934729202958782,1.5080748916084754,1.4198468974513059,1.440875066115512,1.4028896385712362,1.4683316583372685,1.3066956138350825,1.3833079462470061,1.2320099554313213,1.240287750144296,1.1001847312551796,1.154926026042966,1.1749952044536962,1.23404905163868,1.1470702701016346,1.0593563466425995,1.130312018594372,1.0631815634024442,0.9692722680466189,0.964612009125924,0.9914742809040837,0.9554107929149623,0.9663467660240095,1.181281933009807,1.7091828757133007],[1.0028182937302466,0.9200880373157899,1.0266464406096538,0.7917341119545009,0.9590320798403994,0.8741525551189626,0.812013034180808,0.850927845406695,0.8028668646725778,0.7212391331002729,0.6975604437789905,0.7993209909229652,0.7399365593811353,0.7112354859036668,0.7358878500474253,0.749990072428179,0.715055207862199,0.7135547794828063,0.8412248130452337,0.8247379970519951,0.8841674112356357,1.028008097005455,1.1490007129233828,1.2706067849616722,1.1576710843325557,0.9401748895135749,0.8638533458514475,0.801496947014706,0.7676127858344065,0.7596563519971293,0.6974507414973496,0.7904989373104133,0.7837327062457795,0.7770559949460437,0.756435351558761,0.7596149666416692,0.7834818815828448,0.8161721237196262,0.8279960968045246,0.9424914367219863,1.1184696931033087,0.9152007626797733,0.9400783486963977,1.096340761521264,1.5233286085863649,1.9178526895080614,2.342294769433288,1.4677163369281918,2.074615623788904,2.66602540717389,1.8306729851547967,2.3531107097471717,2.363868522597649,2.1862549429973366,1.8301678082969146,1.2962947239879596,1.8996301840646692,1.1317794635189435,1.6201263410534386,1.9688337648437033,1.078524903873953,0.8928468177476991,0.8095004461585625,0.934804154742518,0.9806387349708272,0.854283931733125,0.7855291753406948,0.761788177431962,0.8596759440091294,0.946978534726816,0.9539681698931116,1.2098463125991994,0.8829875472590986,1.0459961055994493,0.7732612791290504,1.1437695768462992,0.7919427748446657,0.7686530398506644,0.7928370511011626,0.8531776476474695,0.8300003676914749,0.905718196745158,1.3048493749151509,1.0229384299338744,0.9768743644465273,0.8859684938829537,0.8217724952709459,0.8808686833570517,0.7793422874561869,0.7457223837328028,0.7493734022281237,0.8691026988917326,0.7693414054494843,0.7177931105080899,0.7147223389639934,0.7544413144141603,0.7630814616777928,0.7529583312860969,0.7854861000009605,0.9752742505320955,0.8523271480194732,0.9662580964595454,0.8697480397311504,1.026501159606778,1.1199682852531396,1.0328905802148436,1.1271404266227527,1.115315340544656,1.0709159323479753,1.0350870132381345,0.9613469766651851,0.8985670341299522,0.8277815069730184,0.83727314262555,0.7618701088355805,0.7656648705151153,0.8269876448698824,0.8748400092910446,0.8562609362128581,0.7534685684049773,0.7963884762710752,0.7182069290633706,0.7326086555273977,0.6983456920514919,0.6916777502934583,0.8413799271099308,0.9634411512553165,0.9276416405403743,0.995393412496039,1.0049726789230513,1.0492425676692554,1.1030773447371554,1.0664255556163587,1.0689018630493938,0.9995981092373512,0.9998328275790408,1.015177229489684,0.9062092340933362,0.8356835224224649,0.8300299102245398,0.968153062592675,1.1087309278362922,0.9320007766105096,0.8573398204294762,0.8485369279223904,0.8083697490617552,0.8153593807140244,0.802518804716815,0.8156935592677506,0.8173815244070031,0.912483105172215,0.8977382779852149,1.0472324238312056,1.4278651767318624,1.2747900824107614,0.9175516348778465,0.8352770722157954,0.8937017650047853,0.8199172719035183,0.9077667988616059,0.8693914633941641,0.8721187099236806,0.8737674220956423,0.9075742117851857,0.9709767472804259,1.0923885987446935,0.9957716328054096,1.154575404890778,1.2640318474911336,1.033208898756406,0.9749395037196982,0.919398161211339,0.9386549854346292,0.9511556412251092,0.9271499795856533,0.9327902793480398,0.8813539705586289,0.9613913148920341,0.9528489153021074,0.9846485626938839,1.0217680675051406,0.9914265297217262,1.052061759959865,1.110513053399666,1.0547302782466983,1.0702499824931868,1.1651287683687679,1.543387320257196,2.3201129790791364,1.7502358853501332,1.7206051463321328,1.5784549511450452,1.4680398516120128,1.3125103846589603,1.147601862314151,1.2190700860039283,1.1766985734025612,1.2233067152067427,1.2304791532082173,1.1531439350362342,1.2560786911475441,1.1885850794206916,1.113326769159028,1.2210887959977441,1.271405227530778,1.1917806951150662,1.2077368859524973,1.3083974899993784,1.321139430820963,1.2660115661663167,1.3455344759606642,1.4265880456934803,1.3821553748946023,1.4307444937605283,1.5705843695661268,1.529590785053563,1.5833005489413365,1.5609178395755934,1.4707371205346012,1.520487860549574,1.757248917967591,1.8479903109890925,1.8570499537364806,1.774894915498079,1.5728874904214456,1.5060741032598361,1.4495302883082237,1.5207487540737255,1.6333034555881194,1.4613175088196884,1.4701858999555206,1.6052204227690854,1.5812364140308377,1.4564284630245725,1.4777036474628524,1.7596692379834333,1.5039116558545298,1.4235328840807842,1.323615859757071,1.235676089228322,1.2740967099603728,1.3079390374957942,1.2712038699887727,1.3352112865400474,1.2766525145801324,1.2420938717920542,1.3088159361424514,1.2184504802294795,1.1979777839683556,1.2243574419833525,1.2595123818990153,1.2354231678205188,1.259312526208293,1.368516855024298,1.3560043687316907,1.4088071876443315,1.4066813241430487,1.490388762064754,1.4710009528540693,1.4636688128531428,1.349691737698158,1.4018483096972056,1.4875160417563211,1.415614532059067,1.4182675239710048,1.5098965528442543,1.4995202848250644,1.4206662788984457,1.5168007759393294,1.6512336229976323,1.474179719363935,1.5102191231795183,1.6330955418751576,1.7398108001822143,1.5769965166261593,1.4609004139194355,1.6174566736566325,1.535496055760677,1.7291931221322199,1.438554428013465,1.3632297578890742,1.2952351610059218,1.293251795765299,1.287241280646142,1.3275915094630477,1.2086143401349205,1.260507292511325,1.1175523188747531,1.1204721064899918,1.020279700217495,1.0529864791870467,1.0457109492205292,1.111656169600618,1.0535529821146452,0.9804125447933608,1.048257279486797,0.9971691341710684,0.9169462436022479,0.9320397989643293,0.9852016271991811,0.9279365304462401,0.8901221450251147,1.0752983783650376,1.5576612141398218],[0.7504188063674694,0.6843048683574318,0.7632727730277294,0.5011925432072402,0.675687922840903,0.619707693056293,0.5594689666904918,0.5877278045962023,0.5573229726582777,0.4521701340643432,0.43827374760044246,0.5775212303151238,0.4881129392919303,0.47179993873507625,0.5049647153170073,0.5064795853718337,0.5421391669344913,0.5704511486765269,0.7196069649990622,0.7148451125211851,0.8214709788864275,0.961017989214803,1.1332198378147236,1.259459555058041,1.1316336102671587,0.8836581168442276,0.7583952959169924,0.654863576253849,0.5919930826437101,0.5245547866286084,0.503202468403333,0.5366677079306676,0.5425289950177467,0.5648092740433396,0.5425797639049896,0.5852519197777495,0.5600590407698921,0.6392387619900993,0.6485938919585751,0.7533234572220284,0.9943004846270389,0.804688779431612,0.8370075687431077,0.9889163070351706,1.4980145260472686,1.8904366163500848,2.3873925606406505,1.439086953666325,2.0358952409431192,2.634868167901973,1.859378096183363,2.388064696260154,2.33354984534205,2.1063341378907725,1.8055820231330564,1.2387764153261325,1.8662654979221733,1.106179925526575,1.5323016004312646,1.999838049575818,1.053560891336274,0.8324595949392721,0.7219024467794943,0.8892705394640097,0.9213495135805058,0.7807102013716046,0.7395606701089433,0.6325230137315755,0.7438117144704401,0.8533922973153816,0.9060972956782641,1.182688985227023,0.7979575241476631,1.0309154050285598,0.6633500686706166,1.0386551566884958,0.669555365161947,0.6222860020649409,0.6434566764502753,0.7318283572222625,0.6379117465331589,0.7088060550538485,1.114901966116685,0.8086469955941209,0.7644416093723448,0.6720108306361599,0.6404983098876548,0.6859549331971476,0.6042959941716377,0.5769579804157691,0.5906406746171378,0.6980036676630099,0.6101337852643468,0.49963154812135285,0.48563468033583435,0.5600979540501624,0.5904117246550212,0.5135670564561012,0.5284172961352906,0.7222904688529788,0.5823051748000823,0.6836267558045404,0.6028671363653036,0.7337015291231921,0.9194489857026468,0.7951586401528589,0.8687624950069035,0.8939760112986299,0.8054716493413577,0.7550879624631427,0.6813117469047356,0.6227805946276203,0.5579289899286892,0.5706529283431898,0.5083359511913658,0.5672536754627858,0.6813869555825451,0.7520723671389544,0.7952869996975891,0.6037537731242175,0.6572187560532173,0.5335718122003398,0.5657404589355315,0.4592651945220226,0.4400836032007944,0.5700058146508156,0.6488445654250703,0.6712943091060547,0.7294413478826086,0.7486781734186212,0.8192621871532387,0.8618444302961249,0.8864207996530735,0.8399674636666304,0.8089246101396165,0.8335868147385223,0.8516110858919202,0.7257313065048185,0.6517430514517687,0.6204257145547822,0.8199757922400561,1.0129818180677694,0.7946834704850037,0.7036499336983044,0.7185345999850533,0.6090602696069694,0.5989538853977345,0.5644169246986735,0.552959470553909,0.5451476188755047,0.6535837864551735,0.626798481690802,0.779706544995596,1.247210473809954,1.0892432053546497,0.6533962714926712,0.577906932923998,0.6252438242709544,0.5568383904871443,0.624683032026415,0.6060957745462348,0.64259182292642,0.6563623486939487,0.6996351243876033,0.7783746617121047,0.9473267859183344,0.8721460353399196,1.1151387268758501,1.2520593562857214,0.9386548836330944,0.8298230148088218,0.7321780799624145,0.7355767735489287,0.7261932613330159,0.6827905954538032,0.6739549544096572,0.6258278057817646,0.6664923338755618,0.7260179481199115,0.7296700563885892,0.7906894098203497,0.7395716467562097,0.8306446209229738,0.9093342067204717,0.8585544635089369,0.8989907247926899,0.9945232926897131,1.4414465137291659,2.2186718972798882,1.6625705831730107,1.8142597879593545,1.6902571905246406,1.5274937625493195,1.2989362171645829,1.0673078601817758,1.1056647891429057,0.9799547480550865,0.9889378438035235,0.9838876526772363,0.8722780320484388,0.9657209577576372,0.8864424017084038,0.8292124410868187,0.934994611420652,0.9645192686664638,0.9104344958501366,0.953874666995498,1.0374716361689627,1.0332870672272019,1.0275779013499866,1.1045689357272734,1.1671476198961477,1.143005629982037,1.2081152960782084,1.3708005658005402,1.3604695468668286,1.3421287066445262,1.3059039931315484,1.1878670707201597,1.2345279471389334,1.4800411345875844,1.5763252496625864,1.5918378467104772,1.55694747287811,1.301150735963669,1.2275274925956845,1.153416415747363,1.2538727313943294,1.378210075117871,1.2171637354514466,1.191406817015535,1.3922419153456251,1.355624403520235,1.2121912666440189,1.3226118775213447,1.591192894910834,1.3351059462614416,1.2849842663181097,1.0917962126845253,0.9665672440364659,1.01363007410629,1.0018259783337522,0.9907687832982752,1.0444065225080217,1.0261805314717365,0.957457079617628,1.0244733219721167,0.9100700752363464,0.9144782781973743,0.9172889188688178,0.9537969605356095,0.9547046832981071,0.9786965691435522,1.0797669654457167,1.0679765325882074,1.1547029796423465,1.140845238404023,1.205221014445548,1.1834521934966613,1.1576844716807013,1.0530229658896557,1.09329215437871,1.1822720622413412,1.1401269314890337,1.1417730210268684,1.222012122918436,1.212359357180452,1.1383216813874135,1.249713521890176,1.3681694749261668,1.2106540769711707,1.2948077017741693,1.410360194296724,1.5382577578054126,1.4145329877620214,1.2125006801770335,1.5490618148137762,1.3876762862094576,1.4101618981742112,1.2550126451678238,1.127440932227024,1.1081352336136854,1.1557571863117544,1.0658477439263863,1.1278840721453272,0.9363671052283706,0.9919232925208092,0.8728878830846718,0.8581938666038547,0.7477634060752856,0.7784869487364185,0.766158041994987,0.8206834197105788,0.7865213252799468,0.7059287396188407,0.7732082143742212,0.7049710463963377,0.63227907856546,0.6464849987962268,0.72726658483446,0.6524348714278132,0.6521335269825154,0.960443989000185,1.3842322890902583],[0.6820708137876068,0.6103267093562282,0.644007844834879,0.4391268871775536,0.5548036663608843,0.5012685362537126,0.44102500241268644,0.459886450176069,0.4529329805913117,0.394232874271762,0.3906631812025606,0.502599518027542,0.3923544960675588,0.44537498942918574,0.48726153695096813,0.4329961719576077,0.5196114636103261,0.5653998340602129,0.7436123874115718,0.7346296332426621,0.885084143475333,1.0081223950490497,1.183491154394324,1.3090232413633358,1.1418767456111807,0.9440428787609982,0.7756485772065604,0.6151723650940207,0.5434963432522145,0.4645695934349311,0.4945704682813485,0.4481521265784677,0.4517053289601636,0.464998135741659,0.46656728125279334,0.5370325862572546,0.4770717693571623,0.5883934208204367,0.5910481738101034,0.6787162178851425,0.9602820487333894,0.818191584286304,0.8471320020713122,0.9531102603749562,1.51427678862373,1.924288641345189,2.4763684241591233,1.4128391750109972,2.1546087560180176,2.61303266832726,1.9587285678766015,2.486091907665867,2.3931082721126913,2.1520079737236806,1.6529137051956655,1.215691674764899,1.947098630361556,1.019768363653766,1.4034650084221774,2.029781217167862,1.145861875464408,0.8923509866543579,0.7345469229868598,0.9311497786859866,0.9411352308652364,0.8324021490051465,0.8396510353481884,0.6677557020008716,0.7774593019228807,0.8722048740962941,0.8876914863165458,1.1256323785610987,0.8282391662160484,0.9919295587635274,0.6736963525758347,1.1261111852122536,0.651844817505577,0.5999255617264838,0.6084055570905055,0.6930514435024314,0.575696167766522,0.6304237064020294,1.1106292527055175,0.7001839598243172,0.7097730579031414,0.5938965885936922,0.588983947093776,0.5822374829105713,0.5808969067628625,0.5587346113737988,0.5594031220012353,0.749024056103059,0.6204810995408011,0.4907930818748052,0.4638862545423802,0.5456222362879803,0.540841731610159,0.46147172065492675,0.46133007774647794,0.6442652993201908,0.4956521422298937,0.5799366408729261,0.48379935812627817,0.5864209994464359,0.7407945480500819,0.6782419474849147,0.7552527955108754,0.7630425530298085,0.6723130088585818,0.6255389221023845,0.5385152785431072,0.4997447722296863,0.4612324667925807,0.4800253896458777,0.4602437432079438,0.5177368165350524,0.6486430310551102,0.7811161173343281,0.7715950396240052,0.6279964357368825,0.7043975927142677,0.5414060586931394,0.5923457975894775,0.4504386473445323,0.4381716847229968,0.4910802808783486,0.5150908149481546,0.5334275164075163,0.5937842297598969,0.6101140920121612,0.6706975254408766,0.7023320781641299,0.7604036196358271,0.7004777205630964,0.6959756972889207,0.7456816757039983,0.8120989221899451,0.6630045877878372,0.5778024710811698,0.6185788224605795,0.861841377387086,1.0888862213933899,0.769935321837674,0.6639251912848999,0.6949608538272241,0.5407955618109568,0.5325410592204188,0.4815396524980438,0.45886888619068933,0.45560520768378243,0.5400765881468793,0.544343341554726,0.7421390566347786,1.282192971963415,1.0794354732984732,0.5572505341739324,0.4747752992472178,0.5027389904719153,0.4611633084062886,0.5053411750109007,0.4905623070305676,0.5482382884612069,0.5839164631368519,0.6252243303707873,0.7060004618894484,0.8988053042529334,0.8643755764000984,1.1602589478957854,1.2852537556475285,0.9915396256037352,0.7989769205704823,0.6778945876735192,0.6572440059355442,0.6289728016111698,0.5697974864215362,0.536689769454329,0.5152194326704767,0.5429348448368645,0.6244665878919811,0.5982872327037423,0.6620764141073582,0.6011125350189663,0.6906198630572449,0.7979119621891372,0.7756851048592684,0.868674903341021,0.9643105430937884,1.4101285602854974,2.1976222426639485,1.6464642350674175,1.9120177856388716,1.8284179562918625,1.5850115798737927,1.2877343283131408,0.9777381315794916,0.986018747477132,0.8360985744677354,0.8516703792761599,0.8471193299589754,0.7217221234429382,0.8007950515687077,0.7140484225450872,0.664787956887137,0.7809261282610996,0.8168767142846618,0.7708959875862129,0.8255882735905344,0.9326376426890445,0.944573658209641,0.9377430682199996,1.0329019981756502,1.1349914665998304,1.1150296682820604,1.154151700290761,1.3574375190295647,1.3146912955856875,1.341011014349054,1.296125453121178,1.128096537008944,1.2024666263806463,1.459220739979138,1.5776231047768654,1.5758654983234766,1.5289326742942562,1.2062094795542415,1.1044610273092645,1.016200220841252,1.0878833298370363,1.2494676656002024,1.0642391957077746,1.058613040692182,1.268465181224068,1.2574145378813113,1.0708630381836788,1.1603486029824632,1.4809156572383795,1.2124643174342844,1.1729915294456337,0.9425678758327312,0.8016835488765324,0.8513246303626715,0.8400923912406816,0.833202375909242,0.9095052640527487,0.8535099537354927,0.7842465483533365,0.8660940639512917,0.7695868553756922,0.7544865217304101,0.7835998186189019,0.86449901290174,0.8873592674462606,0.9017927504675544,1.016854317692821,1.0364824983297702,1.142317344963873,1.1114891488136067,1.1859270257129504,1.1305512330410472,1.0776041561640803,0.9348318817253569,0.9886870451175895,1.1099820868191843,1.0326122082384392,1.0161714675632538,1.1332315935897739,1.1351753474025879,1.0240960966141401,1.1532563042443977,1.3255991983897364,1.130133443962795,1.183952565680481,1.3319743386825689,1.5016439618204112,1.3364059561708732,1.1477699535993193,1.4723802951134741,1.3413517121351428,1.4989555162540469,1.1948965258408302,1.0445996047073691,1.0069102294927201,1.025353475144637,0.942553206645157,1.03699803866248,0.8459582189705515,0.8786645835935645,0.7401878761343135,0.712363660228849,0.6001982580922225,0.6296932283563282,0.6006290431882819,0.6553327644150758,0.6511750557581703,0.5602208796819579,0.6360211180879026,0.5723841874999696,0.4938540781299773,0.5329685720957803,0.7055968571657557,0.567890333725484,0.6115787909788214,0.9754309673912073,1.337033319506598],[0.6627232884469626,0.5932116729056844,0.6471968583429254,0.43533715819436425,0.5362107270961781,0.4879596496167351,0.4258546744015363,0.4360976712797788,0.4795209575924835,0.43523016441373863,0.4469258303759561,0.5445987412315126,0.4286375939480907,0.5345743125486979,0.5769184619265599,0.4941004470603422,0.5998740006685798,0.6478374728957319,0.8132650443683609,0.8132689829510303,0.9795835367222303,1.0821319322171272,1.3063575324824623,1.4162871863809199,1.2342964043555742,1.030826654085399,0.8209325664878523,0.6615443109726853,0.5957539633573687,0.5118349168045108,0.5631513723607428,0.49228686249008474,0.515893989075583,0.5602040830069941,0.528965824970764,0.600708766852605,0.5182186286085222,0.6336742456281912,0.6269153338840263,0.7070956626522227,0.9698433188096153,0.8717761604935004,0.896365959544685,0.996447194237847,1.5450858038354809,1.9637588131419943,2.5611448614439913,1.4985256604535429,2.165936402913987,2.627297144000788,2.032296315309588,2.549429876417834,2.393025085508688,2.102327555767917,1.701776100011083,1.2568766581326285,1.9703323931336794,1.0997160349858193,1.414795940998277,2.1206752234955735,1.2314502720824216,0.969800972347174,0.8378409765960186,1.0482800983192704,1.024653051533833,0.9259903416040651,0.9467614506587542,0.7670674798773767,0.8612921153923148,0.9552891817400204,0.9733243288327429,1.2362419792782953,0.9245160246274666,1.1117903848903898,0.7804964930640129,1.157898726953361,0.7558414874745614,0.6941560603945723,0.6863067744433827,0.7595324394872622,0.6087699298771599,0.646806342500844,1.0853224516828832,0.7047534909561776,0.7069967817669218,0.6168311681210491,0.62610045239873,0.6290418192892738,0.6601493808220981,0.6290161713319048,0.6715040444826934,0.7884623719676939,0.71038928863436,0.5877820108988804,0.551636761646366,0.6569097008695834,0.6588744084068512,0.5555532394385228,0.5191572484251858,0.6423924193278506,0.5210907171957943,0.5585657749891794,0.4758907269246008,0.5605950055401808,0.7477189933212017,0.6474025476246285,0.723099415128163,0.7550751239923267,0.6582689867071438,0.6059040048754044,0.5116993020131373,0.47535155021531267,0.4473325587443509,0.47157192026907113,0.48663110174560453,0.5405402610935638,0.6689474881886771,0.8202101742841268,0.8571113836118799,0.7046253692928119,0.7747746224409612,0.604935735012207,0.6439316254675119,0.4921118468299926,0.4644858949206777,0.4734537247651513,0.48072095277480975,0.5166631519446878,0.5664114274689528,0.5980245855298871,0.6694029521430694,0.7108453343680952,0.7745069952783482,0.7008426804321002,0.6980556138506575,0.7483559170432668,0.7773245611115369,0.6762609031403143,0.5991056289029523,0.6383084406470573,0.8851003970379779,1.1507627767049189,0.8113559310358424,0.6982533818918252,0.7269849229816974,0.566503435185634,0.5477263423411622,0.4856059075474599,0.4568266534502407,0.4523768281184937,0.5305563381586154,0.5131164288336901,0.709347928902184,1.2572471330630652,1.073122524705738,0.5456156245868123,0.48433769210483596,0.48940911665091186,0.4635063468265532,0.49135803166239084,0.47558430146861974,0.5554839153734176,0.6007107054589224,0.6469619337491427,0.72854910274824,0.8769106759979823,0.8814062700182025,1.1867612035413153,1.294246756319492,0.9776019128090038,0.7972506786348704,0.6840413514732389,0.66174398831833,0.6243232536675876,0.5659510224387957,0.5438297466427063,0.5206032747526752,0.5274827836633663,0.6390365034609568,0.599289885281384,0.6692786763165118,0.5892089962840287,0.7064867544143721,0.8093836296656158,0.7789814601501267,0.8803737250904861,0.9801642954762938,1.4109844689670739,2.226526887681627,1.6793186567728613,1.989789038117728,1.891600245494771,1.6306926508018127,1.3136944041811864,1.0168517304417026,1.0270129583219016,0.864157842865632,0.8737410051184258,0.8730656524769115,0.7303140340408836,0.8367116959049956,0.7247699281460281,0.6633036346871904,0.8099373278234007,0.8466331245957002,0.7714648667061302,0.8315708388105936,0.9591166699799251,0.9542280995711014,0.9335013816452152,1.0410869510754548,1.1465440154183673,1.0996404598535423,1.150906289677096,1.3695741050467034,1.3242989086813546,1.3954969927276182,1.371656179377937,1.2053055529615415,1.2755721554761614,1.5453688832870072,1.6510307725610258,1.6756135842395483,1.5844374449749257,1.2848704958038022,1.1808501892936798,1.0680266301417631,1.1757052843398186,1.3448480921172297,1.141431756336521,1.1162572360947745,1.3629072969866607,1.3378594249943083,1.142520044570709,1.2604306212642957,1.581639855591775,1.3121562619491538,1.2184806598765598,0.9977072362075596,0.8348048053847967,0.8947778825617584,0.8730459225156342,0.8531624511344241,0.9150266099882484,0.852005389756136,0.790080624193281,0.8893384750454753,0.7655972930111349,0.7573215612241194,0.7838980306556236,0.8507225515390165,0.8583212712652336,0.8828524046158781,1.0162007341973849,1.0270695968923182,1.1255799991154407,1.1105735588477306,1.2011998405931075,1.160882058624362,1.116093382636011,0.9689971358251817,1.0399372816735029,1.1714801098540153,1.076036687763032,1.0761442540893744,1.2196998507775219,1.2125744609749791,1.0919523661692085,1.2554459266010327,1.4349448290730134,1.22139378812339,1.275267289256514,1.474560201710031,1.616093110659659,1.4475041729790736,1.227873931309532,1.6141614951085828,1.435634127542995,1.5620075268235238,1.2405965286895282,1.0808458738872786,1.000420703254943,1.0361022499188026,0.9674651654194405,1.094885880171059,0.8810873231849622,0.9103592032899894,0.7423252600494789,0.7132026281146617,0.5806927760769294,0.6106862360451115,0.5772845673879186,0.6403236343512864,0.6292105482358894,0.5334376649274893,0.6243640095072323,0.5632613106277764,0.4844893600371273,0.5304127143421887,0.7267572849519637,0.5775910644015451,0.622924707294719,0.9869930784962135,1.3524741175762898],[0.6301307156826182,0.5760331794762441,0.5989546847498602,0.46060228797616115,0.5038314204609815,0.5225888713904654,0.5205125007958825,0.5116030519292021,0.6162656683656199,0.6019261537276805,0.6234808953970934,0.6728531508665406,0.6249823808284165,0.6969651895027391,0.7384896293308257,0.671338427213983,0.7896623083138031,0.8442635285296644,0.9873976067982992,0.9896136115499656,1.1597307084442952,1.2439366320875562,1.4828311197769835,1.5804462320382782,1.3810276959159111,1.1851547858778433,0.9817998246730872,0.8309420359128954,0.7671212163207276,0.6801760140538086,0.7578846040181246,0.6579644296636601,0.6948704390612603,0.7887663716783476,0.732543513905882,0.8017783376875008,0.6929659177640122,0.8076617594166039,0.8003614066056425,0.8606436736923101,1.079552209180996,1.0219184130447105,1.0576252731846552,1.1465645934369961,1.630628517360222,2.055295098435444,2.681432183252205,1.6514811117580679,2.2497766678128532,2.6804659541778877,2.166048248107868,2.6644755249004364,2.464179273890787,2.1327882376135174,1.7724067163873154,1.3939577133888317,2.064511523115867,1.2237239500804,1.4291725965265514,2.3084531206524117,1.4003736855959625,1.1576094830037265,1.035683622941951,1.2335392565227141,1.2024930156662965,1.1071772170677945,1.1197970596645468,0.959798613495706,1.0461978277980344,1.1247481916766795,1.1065345010299297,1.3650889559119888,1.069494740164626,1.313483854765639,0.9630892148347786,1.2650084806428004,0.9563472180891288,0.8980864555975601,0.8932605255816405,0.936037937289764,0.7822814576741942,0.8062572503333084,1.1225953662013888,0.837643233046292,0.8435077899663488,0.7677191828833602,0.8072062174773477,0.805973519667449,0.8663336594609748,0.8427155018169362,0.8866233433909259,0.952208019594502,0.8979876553447719,0.7820072443342513,0.7342336654050564,0.8350426531117157,0.8250922365916119,0.726477766433165,0.6691153952627328,0.6973482084701892,0.650262399928708,0.6183415336537056,0.590867671489572,0.5824711545428094,0.7967884672263424,0.6840016199428764,0.7231313583805952,0.7500823550713204,0.6250023335779437,0.6157569481405143,0.5267409408538245,0.5424593235014425,0.5338617221398974,0.5587165640867636,0.6364546436192633,0.6991403898750558,0.8220553528754221,0.9714051097058919,1.026325281197035,0.8943975555015079,0.9500290378138083,0.8081211476785563,0.8226731075935232,0.6700070782072935,0.6049095477596544,0.5431415252657794,0.4681292279969896,0.5482618715167246,0.5698959470020956,0.6289033628509291,0.6751437143176442,0.7168795536614369,0.8339983825626132,0.7463721314693533,0.762948206904614,0.8244149930399314,0.8322599991997219,0.7637837973622317,0.7183138114284416,0.783932918674922,1.0049074760407442,1.2900171400214775,0.9419189788476858,0.8227540737409827,0.8636317752466025,0.7147504520425906,0.6862312471439913,0.6287630452375463,0.5582911428302335,0.5633361668730544,0.57547757755368,0.5483164503952475,0.7092098367961915,1.2333894970495698,1.1043447989332051,0.6030486647792723,0.5916283205818724,0.5509696587451869,0.5823727269598231,0.5630012919073021,0.5753369006248762,0.691309879858262,0.7343194132838033,0.7917920303710493,0.8565676589752758,0.9500254105030046,0.9889799816482406,1.2973011075590193,1.3810826908084424,1.0532341218839485,0.8795694679266699,0.7757240122553982,0.763017768315833,0.7313631635334475,0.689639235398283,0.650916847926764,0.6561097354981034,0.6342438855339371,0.7686920240854964,0.7095094269925816,0.769987891632112,0.6518936259488339,0.7703658281937553,0.8816463615914025,0.8639374617969628,0.9958105971288953,1.0788159577089451,1.5250015778329786,2.274497664059173,1.818144983300467,2.1968065397475103,2.106292012137478,1.7915471853874378,1.4260710784121993,1.1189759635283123,1.0804092685096702,0.85152409200744,0.8429512684880007,0.8170739778728868,0.6707116669251849,0.7472991442545702,0.634473634052754,0.5887724964882081,0.7108102043314697,0.737830167439012,0.6724992758048419,0.7436686717410379,0.8583738470476894,0.835739562275085,0.8470576796548451,0.9516804939078856,1.0334209621011226,1.0029920146819782,1.06850367338549,1.2768980303415223,1.2556404731514184,1.2703059065974789,1.2686034021447958,1.0892085238352072,1.1473915419565401,1.4222377830799295,1.5281486160712214,1.5311866142655362,1.4619513454587796,1.1573431580758762,1.0628955139740834,0.955634459508809,1.0735455215561243,1.2322070768267412,1.0544732030163904,1.0246517860804016,1.2780353009029568,1.2253462623455558,1.0597825640403704,1.263594744630462,1.505785174593717,1.2431128078247584,1.1916036155682508,0.9340676907808533,0.7905123294874132,0.8409449727770109,0.7852404469502521,0.7826661885462189,0.8256002209664397,0.7924339786320193,0.6966430966381195,0.7929697493112835,0.65589025358518,0.6737327943847091,0.6716238186461839,0.7344622775813331,0.7649833420128763,0.7783145952207533,0.8935691684575557,0.9042641068342663,1.0354455170375565,1.0078463248102207,1.0818790496765238,1.0460080712693245,0.9958609881648779,0.85525889687628,0.919878300721515,1.0374351034945373,0.9645753413394484,0.964677588268089,1.0936294575269683,1.0876524633429936,0.9812033761325292,1.1460005711712675,1.3208921010419312,1.112473461580194,1.1835166705295084,1.3928534119848224,1.5374717207955269,1.3940461431836035,1.1416701048249045,1.6359838390891517,1.402249343521328,1.4387829099546856,1.1867828347616736,1.0031846094860213,0.9424675893973415,1.0243040866679796,0.9109477394793994,1.0236723395979792,0.7779966699275815,0.8154162437534118,0.6588054329235888,0.6549401209213881,0.5439567723176215,0.5524152822828123,0.5320182325565959,0.5701430641190937,0.6354564294049784,0.5234789604138306,0.5608340359210677,0.5135076123016006,0.5054476576882732,0.49622233570588137,0.6614628046284857,0.5699383042819538,0.683627630754342,1.1513131645342385,1.4429055529231294],[0.7974003929125142,0.7434730214965979,0.7633522504678439,0.6620624915984736,0.6986494062071662,0.7674778309312883,0.7743485158945724,0.7737262817290042,0.8743737071072936,0.8621469035655285,0.8808680004161714,0.93214753593055,0.8563121966238537,0.9388830894526906,0.9799436498948989,0.9083968354438857,0.9960822313771871,1.032615089748847,1.1451731526027484,1.1539189659319546,1.3105808300302455,1.3720770663150232,1.5964923732359424,1.6772404734414739,1.486324357738827,1.3240157979342502,1.1223691977254837,0.9908647274085661,0.9544074965655067,0.9078829930807223,0.9860854839856265,0.8983400277217747,0.9440363437256865,1.0057357894565528,0.9494649763532407,1.006815508526588,0.9081857445735969,0.9749415203620821,0.9669265214595847,0.9897678609045509,1.1614348202159395,1.1634362662748716,1.2072406863710137,1.276222677596085,1.7620945784193647,2.206446280932789,2.8495765045296286,1.7685186908310413,2.383161195993834,2.7153840854249034,2.263507480012372,2.767983614278138,2.5357681113075623,2.2002097977259454,1.8365411335985695,1.495530978777413,2.1199270235755114,1.3534482662153369,1.5284323675166382,2.3243193440589516,1.5375718628744912,1.3128842388695474,1.2107339693555008,1.396165689233623,1.3514048421193632,1.2755937029481905,1.2984051731065054,1.1441249638084359,1.2021410056515611,1.279312836564201,1.2704177566888293,1.5052212781690912,1.2601711071325448,1.4565980642918073,1.1500528559443708,1.3776123257294426,1.1453748661549874,1.1056309261843251,1.0918248140814992,1.1240915531981985,0.9702678625212903,0.9652234197060336,1.239493055030301,0.9378350853500744,0.9659338181576391,0.9328954189655847,0.9705916960207939,0.9954061219938919,1.0656657235278142,1.0544169558131837,1.0888351867653305,1.155228954942181,1.1245414632178599,1.0334401038620635,0.9859804241652581,1.0672044935645615,1.0737711304555904,0.9866129014694786,0.9375737111964563,0.9648876574794097,0.9037975475858527,0.8754268174848626,0.8109161465674373,0.785056114473398,0.9360054188832536,0.8335194313153416,0.8607933438295768,0.863582088879245,0.7778323517118515,0.7841932472623958,0.7182993981077129,0.7560536036089055,0.7889983745318053,0.7861089426279443,0.8576915553764319,0.8729884716204792,0.9753890127707026,1.094673312007264,1.1561320495999141,1.0668110971155187,1.1134233336862045,1.000829983213241,0.9881218595591749,0.8702194750589769,0.8484254281725693,0.7768095101474832,0.6830828416521033,0.7345251899342877,0.7204534141805401,0.7702165434019367,0.771969376092039,0.7911892548310779,0.8940247583178978,0.8464663693218992,0.8541351843811698,0.9387997196992927,0.9311810022837126,0.8996444276279868,0.8431605965794811,0.9286925615755118,1.1104193733588557,1.374901836580501,1.0686187256268076,0.9776608504451463,0.9993877524861051,0.8896819229832463,0.868814974079834,0.8258844552086129,0.789751173350587,0.8149132537564026,0.8211753088731601,0.8289492214682112,0.9242623793327106,1.4220564331339642,1.322703974009929,0.8817385375195471,0.8666566655642938,0.8045515226278173,0.8182752191436201,0.7803818554393352,0.7626444012668072,0.8586475274714316,0.8791703069938169,0.9331899815466692,0.969149814049147,1.0326470974281852,1.0521997248195814,1.3422599889812177,1.4080436218762942,1.1265066924489475,0.9518253815183625,0.8888730928706,0.8814602369655558,0.8591769563406617,0.836846250836536,0.8352896103069924,0.8439972016567133,0.8268266378268562,0.9160754240698171,0.8436009427381967,0.8855520628391391,0.7912418273572907,0.8688704424059613,0.9451723801703611,0.9421710813429905,1.0989057089736665,1.1994110373397204,1.5582081776142644,2.303572251869792,1.854406793644105,2.261561857833779,2.214711556125921,1.846469799681561,1.4624434753836757,1.1348722907343394,1.0755785384736734,0.8699583670727976,0.8645497698445329,0.8633373742294699,0.7591749538276085,0.7917864891945404,0.7279266155243919,0.7005557389859025,0.7789714691818761,0.8064199563043758,0.7909405687215079,0.8396005219777475,0.9225825811507979,0.9209977319752363,0.9437304358297478,1.0307411960636983,1.115646872372171,1.103002624077496,1.149170001788849,1.3521714459913008,1.301820955925579,1.3415813613591596,1.3107246435881117,1.1317914965100797,1.189929738577193,1.4346833782450081,1.5693195428210205,1.558851790994744,1.5183776075729651,1.1769685706508968,1.0798992069228333,0.9967265450880823,1.085835633869841,1.2097193659052474,1.062892402361736,1.0567562140297548,1.2627823955057744,1.2197704804058287,1.061281902376253,1.2407117136889638,1.4547031521920812,1.2356968087515912,1.1879966659518044,0.9497463463571214,0.8297723468193601,0.8856067512443118,0.8391326875704731,0.891552876882542,0.8829551138143905,0.8828784418643381,0.8026428473719466,0.8629232288405547,0.7812958122309279,0.8000129902392266,0.7839525343643011,0.8420927248855488,0.8954986909850928,0.895248922183344,0.978078306117338,1.0134318700153602,1.135482442926169,1.0892245015477984,1.1453741870005412,1.0977254870130673,1.0357246913553693,0.9114330716169008,0.9551464392216008,1.0731797843531776,1.0040528303849114,0.9910553602289597,1.1189923126618335,1.1223626770467454,1.0073027716862035,1.1460317929712374,1.3334572181983795,1.1294804023733738,1.1804726849922358,1.3633523477646692,1.526117787085182,1.3808450834995083,1.1606520987639624,1.6046170093926375,1.4190008266985483,1.4968907618674019,1.2326954395523704,1.0658211582291872,1.018885527367019,1.0751808363629516,0.9829622772273522,1.0780874325824628,0.8412739447099418,0.8746966780654837,0.7702507803489083,0.7486880249953908,0.681662594040501,0.6956747015404758,0.697227401558515,0.717818679391709,0.7942667355472659,0.7143424225673233,0.7330500478158264,0.722054899756599,0.7505616189741019,0.7171619609458154,0.89028000101592,0.7879192962770157,0.9245561670689694,1.3604244543751016,1.6079663987544321],[0.7989261876004196,0.7403870163528382,0.7875948748583909,0.6838280446393834,0.7337934255248472,0.8046502722878163,0.8549793753633852,0.881198296539592,1.0160784639897553,1.0621164088874022,1.1085282482359122,1.1170234123429912,1.0862293943322372,1.186679939587531,1.246688364461693,1.1718282890310645,1.259496783120132,1.339133618962547,1.4853985448254685,1.4635013532337302,1.650231871849203,1.706069008488805,1.9579736407087012,2.0048950623053785,1.8095951711997291,1.6483161962599115,1.4261395422875534,1.2997503452296033,1.2529697937681272,1.1722136693047769,1.288145691080517,1.1608223898468017,1.2138674248702277,1.2853115130724841,1.2456953173421532,1.3055866683608819,1.1907997864600328,1.2987934390321907,1.2734598735765743,1.2773844280552908,1.4596775400654156,1.4720303434458004,1.5409386549152093,1.6266305076407928,2.043837075168047,2.500997170113595,3.109315979323802,2.110519293210903,2.6772688685476576,2.9739905631526495,2.562120613452122,2.991738381831426,2.715750715674684,2.3578591452029847,2.0622896495636325,1.8188349342950896,2.3372850786606234,1.6937295354329025,1.7763045808576021,2.642518785045632,1.9060113682866135,1.6831631501588198,1.5587663939099186,1.7639940528559712,1.6879255200061831,1.6082177865641514,1.647015290056052,1.479552618686979,1.5409248004805614,1.573744825405145,1.5941021405736826,1.8369251626931982,1.6264307188040443,1.7970433756968287,1.4967335932373385,1.7133912055520877,1.5060392299006637,1.45927108104868,1.4335127516650468,1.459298749198354,1.2893484132673925,1.2307585619910748,1.464276905219816,1.2390914176943497,1.2401138775226055,1.2200992486907314,1.28952529691438,1.285919340352291,1.378720435656122,1.358791426347169,1.4036860944055647,1.4999587458497337,1.4538383301039302,1.3504665887749132,1.2766917078159472,1.340151119437396,1.346201325067494,1.234773221264967,1.1538722158212724,1.1206443430249218,1.0957976097135542,0.9943981016606657,1.0173413051022533,0.9196616443208628,1.1071874147593432,0.9294264773760079,0.9165497768835025,0.9196988633746862,0.8417763827365352,0.8733878801477014,0.7758051628007692,0.8877154498856464,0.9053576233162774,0.9507855686614706,1.0748471389218186,1.1102819496345744,1.235279791357382,1.3724638570926864,1.4847438438595555,1.3788612028488978,1.3841540042467828,1.2761216103160682,1.2236129064347738,1.0748074197211994,1.0032428773312412,0.9181981070186277,0.7594804167985089,0.8354834204049155,0.8139453272477155,0.9297814893193329,0.9002821176825541,0.9426367227180238,1.096927602247309,1.0274085430921729,1.050852053354478,1.1230307750252075,1.0730644181016498,1.088989827562676,1.0750228273790159,1.190471495830403,1.3857901468350597,1.6698922332613353,1.3783895496722571,1.2643988982239271,1.319860612083703,1.1649943761285138,1.1182681003311656,1.055086163676023,0.9657178017669574,0.9697610455204841,0.9141163975769624,0.9352824561952456,0.9917542949806859,1.4829179312674279,1.4075596721749617,1.0131480858480677,1.0222688464308325,0.9288992735978887,1.018554297331827,0.9479651891266092,0.9718749072934081,1.1071011518498197,1.12855098514548,1.1942985473825938,1.2364576889956105,1.2931701732743872,1.333781563663546,1.6292585372354138,1.631699816665502,1.3558235272901693,1.1829652496828569,1.1245972433622577,1.1326584930052106,1.1125467360167316,1.088729895322929,1.0672862286668883,1.0712349123119522,1.0608758623321974,1.1694160560548799,1.097470563523489,1.1408643446896025,1.0012763009800647,1.0972614036653998,1.1937868078601572,1.2133584195110796,1.3615515960983604,1.404794641737501,1.8192846067778083,2.4854320877917253,2.127930991704599,2.6168472375859233,2.5562978394028075,2.146854297707011,1.7417671494646563,1.4163694198571755,1.3217846462499212,1.0136578585421792,0.96493501199147,0.9170297330781557,0.8270790701832466,0.8243784223124969,0.7477382159062345,0.7268215041335141,0.7941892365330253,0.8145120080045328,0.7836383872803611,0.8397696154577619,0.9216571538330119,0.9154300715688736,0.947478716347814,1.044700189553186,1.1272769540676344,1.1127828359458898,1.1710166161981157,1.3896765813094913,1.3409272208657792,1.3687099985224023,1.3476023251037912,1.156378776470722,1.2052989957393936,1.4778278946107954,1.5884630897763792,1.5826623408329772,1.5015031646765182,1.188405435838883,1.090089763485802,0.9987316826142856,1.1156148264176156,1.236789662537735,1.1017473250372882,1.0835952572451826,1.3103585988320308,1.2448095163959174,1.107048382858871,1.3433025883163447,1.5277436791090344,1.2940674353828276,1.2632573751751306,0.999947389078784,0.9021245701543902,0.9548330002722323,0.8828873361034499,0.9419564154156735,0.909774678753114,0.935561902881283,0.8416956175711252,0.8788524111543656,0.7609179195846253,0.7766339078141836,0.7748976212711209,0.8269246911808819,0.8833367037672539,0.8873407866356646,0.9613329795191164,0.9932603985622686,1.1333251199329197,1.0903558276353131,1.1488344888105866,1.100498368936869,1.0380166902912584,0.9138700441816532,0.9542872302684162,1.0828887827007778,1.0142543308547909,1.0020701120157527,1.136367914439265,1.1327755706940368,1.0187446998990453,1.1823799000903192,1.3696102268226256,1.1584153602169844,1.234413804972004,1.439350805622255,1.5919772009164614,1.4573695496122099,1.1950465916128585,1.7104755861237348,1.4802479928107974,1.5089225823113088,1.269407103279561,1.0873004150826047,1.0517651927180531,1.1271512695600416,1.0029839136271506,1.084002323886172,0.8390016170095735,0.8820184018203957,0.7813600978036394,0.7969490692726675,0.7405348300773902,0.7022836853775688,0.7186909221988654,0.716969931835552,0.8166370632494516,0.7293687533095863,0.7343678087307667,0.7264693598785393,0.7714251753223731,0.7281495152661308,0.9000538012775963,0.8324822382185524,0.9900785028843417,1.4910221793162675,1.7022811653156489],[0.9549543243605934,0.908703741723229,0.945474229153712,0.860395855244829,0.8583961791018582,0.940780080361773,0.9653373277101249,0.9876840003617725,1.1047525461401573,1.117407390287078,1.1496908213436228,1.1787234712606232,1.1122415859299064,1.202970075041416,1.2693906151534615,1.1962381964234066,1.2539170356740337,1.2956650197261879,1.4119944259395742,1.4043696160876284,1.5548998076656388,1.5937033756998604,1.8096383197631012,1.8625142878368777,1.6800006421695755,1.5557895481167798,1.358655572647011,1.2437925443906037,1.2205837575316543,1.1895889214670794,1.2780398111322968,1.1862645331010542,1.2333162492221599,1.2873169907737503,1.2342900129507453,1.278776779975177,1.188244685929643,1.2498471148855301,1.2196363938013728,1.2028339495668656,1.3439543826472997,1.3884895322788746,1.4336413116020605,1.4559845853981808,1.9198961188686279,2.384955518062287,3.0101592502964243,1.913978125976246,2.5502352493842775,2.776352578920777,2.3659979969461613,2.82891270980421,2.571071680898008,2.242552675055243,1.8954442909215787,1.6200436412540282,2.189423079471055,1.5413557256868544,1.7016911598125621,2.4014072316922275,1.7247460396268228,1.546882232661428,1.4553939273094694,1.6357785027650071,1.5651998915927396,1.5174544429858445,1.5329901921137141,1.4089615164069664,1.4429984727505785,1.506122262937666,1.489633431068025,1.67838531757972,1.5027052405839743,1.663134106344882,1.4095765456629337,1.6021312156992762,1.4034039691024356,1.3789364133815263,1.3667303039001748,1.3759324336064396,1.2463027553101431,1.1975821655687533,1.4655979540130935,1.1659847279921831,1.1867936238374688,1.1795532195714185,1.2360351622175876,1.2435737516279062,1.3389446839980308,1.3177897106097054,1.360245852661081,1.4400703277041782,1.4201973831942372,1.340498826050847,1.281254579278152,1.356861696372619,1.3612545330603025,1.265481349035653,1.207241632527227,1.1902678306982244,1.1595074671793633,1.0842311185571272,1.0609477180826739,0.9619644259666595,1.0961950987421571,0.9559100685286812,0.9395695577807555,0.927097379208161,0.8783590343573284,0.9302573273442124,0.873151145875963,0.9491308460414538,0.9999869627819423,1.0079875591769336,1.0981880635844088,1.0985557754907915,1.2123237799418511,1.311345889986508,1.3858555640550785,1.3180363183482944,1.3392390757438972,1.2553160234745282,1.2009199661199814,1.091767477137241,1.077887112941812,0.9727686821847431,0.8563464697607515,0.8778054175418344,0.8391107830507843,0.8871197520384773,0.8369317605894191,0.8468149886026157,0.9489874641181565,0.9434264565490036,0.938406231503351,1.0235134384674287,0.9908921860195876,1.0012217038502988,0.9900872831409361,1.115299866345624,1.3033546701961471,1.533189467886726,1.2784652404339316,1.1993534629341573,1.2205959998969254,1.1290830432285892,1.0902254682925894,1.0662965814752658,1.0112747085658087,1.0510597879096526,1.0142001614098621,1.0664563637770814,1.1542119125596273,1.6025103138156265,1.4693886604816244,1.0985730998911918,1.089153093531441,1.0143449598065486,1.05697911559055,0.9992238273124512,0.9788045712999947,1.0756907778308464,1.065443644111504,1.1152132891824882,1.1279192532219355,1.1573938755716078,1.1563537246540818,1.4371646052403053,1.4706993060853832,1.2283221609337311,1.0432211044300752,1.0203254978200098,1.0406702177969656,1.0308061271104256,1.0405667241878092,1.0513353148789975,1.0931228204834518,1.0694639846914828,1.1137544780945374,1.0393486183329963,1.052096385164427,0.9635184164142845,1.0027847558448229,1.0576874746747331,1.0716945580303523,1.2748405564418905,1.3781552483476158,1.6772794387757288,2.442498047675559,1.9938125581520159,2.418876400287943,2.3872030629054546,1.960095736430857,1.5344635996093847,1.1910092979305,1.1089040878379388,0.9030780861324466,0.8803276445004723,0.8642576630606269,0.8291892317164772,0.8142937265929003,0.802989429690269,0.7891360443290922,0.8119237963846353,0.8531565430068301,0.8716180747940305,0.8877511698788142,0.9478024795244956,0.9854915433553911,1.0295904003751066,1.096545876481737,1.1726918240202582,1.199444479580434,1.234725383175294,1.4121290677343898,1.3517659390713688,1.391573141934449,1.3129620816864835,1.1411322637810235,1.1884014915019294,1.4316554554863092,1.5980276172321362,1.5384390670838466,1.4748874892139905,1.0916133193150577,1.003222323152736,0.9681917889155407,1.0177492013634193,1.1169821504510586,1.0038374652917152,1.028315629592923,1.2009332672422264,1.1449389558933216,0.9930770835989468,1.1473749091741312,1.32662213689478,1.1481020510013007,1.124874053068658,0.9156281843477863,0.8393387243404143,0.9126974554138422,0.8905537917250237,0.9810239880002353,0.9401390984297129,0.9813992611706845,0.8950261668433818,0.9243986815937947,0.898899962982638,0.888899608246417,0.8755094927884707,0.9606720725448785,1.0240586199742117,1.0076907971462563,1.0537748696026599,1.1045626472471677,1.222212398854046,1.1539955992927209,1.1910711849776878,1.1242016454311707,1.043345647151842,0.9392630169579539,0.9463182011101022,1.06300751489873,1.0020822220858794,0.9686265547820233,1.0786245360570723,1.0945619742738242,0.9807858208159694,1.0877717447966688,1.2788453237499642,1.0837327489894835,1.109413386498113,1.246626010826225,1.423372544077106,1.3078270406497823,1.1162909290480045,1.5528079477430656,1.3996960005895653,1.4871589827922689,1.2558626212822188,1.0997335598544906,1.1043335227377267,1.161596082177489,1.0127064410323519,1.0558974854141572,0.8320146897425595,0.87226094325014,0.8221527138130686,0.8010931302478884,0.7984212733836246,0.8146932341570079,0.8395258057719354,0.8512683473261861,0.981172446724104,0.8797158453336239,0.9045887935196554,0.9130428756987023,0.9347228787773495,0.9131491676618694,1.061952359115961,0.9859974970660743,1.1439148277458038,1.6353102700566629,1.8759787207698646],[0.6994404490696616,0.6719229592684788,0.7401913343888594,0.6152505914820199,0.676759906202729,0.7033493514095137,0.7078991900104155,0.7142250987039295,0.8093994052497567,0.7909127653490265,0.8012313737386855,0.8499674098970135,0.7897918027549036,0.8584330682166481,0.8993777455001087,0.8383330199391803,0.9305823153882742,0.9621295035298074,1.0781621111504824,1.1063678530423404,1.2613803230771996,1.3336546209511457,1.5418622585613675,1.6452139441024862,1.4659825489414573,1.2892623052342405,1.0973742888238465,0.962604280670444,0.9100396277405983,0.8636212956343584,0.9096474464945946,0.8399138041393037,0.8725415397556091,0.9272878944417701,0.8991668621373519,0.9596510635671442,0.8780820782464236,0.9592234041041664,0.9552221150865177,0.9846122990436188,1.1588076821112576,1.1376116214252074,1.1840487244995401,1.24192833752384,1.7539808960250929,2.1737817158206476,2.8151338934855707,1.7300643117205827,2.355603370677713,2.6892100177517633,2.2145815926195476,2.712599066001704,2.480516344614586,2.170837923432594,1.8040896677899811,1.4547334009030064,2.093821665777794,1.356316687708092,1.543501807870887,2.2716824673965488,1.5086160044193393,1.2740794197644287,1.1602036479180515,1.3391299109503696,1.3061839698674977,1.2259483471269517,1.2215874735541747,1.0655829565936012,1.10904348237405,1.1831673959078475,1.179815005562863,1.4082783022280199,1.1573426822715478,1.3661994065758556,1.069784885225224,1.3385034106598448,1.0857827165099432,1.0423179355976868,1.045647324546708,1.0984266850844073,0.946905338070814,0.9434995249205406,1.2428528652923805,0.9380170803694576,0.9772574064187806,0.9307987132599718,0.950463710920278,0.9662773705263075,1.0228040470871607,0.9879515608599578,1.0141196544215427,1.0766626679830562,1.0410903545701244,0.9432234758337308,0.8946214239012443,0.9683750892421169,0.974584058634181,0.9011505074854844,0.859239994169591,0.8876399435866703,0.8444016924080097,0.8140965973765409,0.7804200921195322,0.7455187285903868,0.9400567569154722,0.8100863236491671,0.8279610777330709,0.8504599643020331,0.7688110726493276,0.7812535975810678,0.694891750159442,0.7464075122797801,0.7498451669624255,0.7695545960363044,0.8174268001557845,0.840085399631319,0.9361750505478531,1.0672091771026067,1.1104548396773004,1.0010399600705375,1.0370820154648197,0.9282444419300503,0.9270553962012693,0.8184052060005454,0.8050234136611325,0.7679927089767552,0.6551066124771652,0.730058936150609,0.7175180132901561,0.7713099164369525,0.7853128190885007,0.8056327760993325,0.9153510575359618,0.865671550431483,0.8757568758832247,0.9478656450817187,0.9377478478060851,0.9052252428296002,0.8571275610060616,0.9424599064582602,1.1238524104094736,1.369389680688051,1.0551959452697892,0.9703237111770743,0.9945108375708978,0.8725515445954861,0.8510517204257024,0.8061735858512215,0.7657509924559519,0.7723256500991222,0.7682639089562289,0.7679024857572369,0.8759636959602864,1.367566872750261,1.2581426317050939,0.8089859510585162,0.79710035463124,0.7474994520269512,0.7750413290019526,0.7646292079663011,0.7647646733804785,0.853773156066062,0.8850974914767807,0.9381578761250688,0.9848783090708414,1.058079106081186,1.0729585469833558,1.3546110946515402,1.430353732592682,1.167294978640378,0.9824216608147281,0.9093895399011885,0.9021557219757872,0.8744680074219067,0.8458897531610173,0.8361594101855695,0.8342766548232793,0.8267403775325098,0.9177583933022252,0.8548635227882252,0.909710892587575,0.8084394215616348,0.8977425970314479,0.9814869620052522,0.9754524691660843,1.1129995665665746,1.198782550139962,1.5261637829477144,2.333638494733848,1.8560436737660095,2.266995757693339,2.2516450395020176,1.881477470959922,1.490740183477847,1.1620276566853338,1.092676963049339,0.8925192066459777,0.8742261192705393,0.8542176294157974,0.7684289338991793,0.7610860654024677,0.7003225315622092,0.6786274669997543,0.737491119728691,0.7585053247808351,0.7364407259233758,0.7901370936726563,0.8576559345817028,0.8506132670417619,0.8874396924772523,0.9678415149411211,1.0365259163556404,1.03669758086085,1.0962052052992366,1.281405622370631,1.2572526019408727,1.2514294542241502,1.2286203735120869,1.0475927851173266,1.0887881676870348,1.3437099904739427,1.500083794537343,1.4652186414217399,1.4496284318222632,1.0670713551090165,0.9794485510675768,0.9213999820580793,0.9984594791185007,1.108699342659881,0.9845847496107765,1.0183854919057025,1.2230157042641598,1.1676134967416094,1.0065030387460163,1.1643979550265928,1.3611281747685753,1.1762444652060629,1.1417517313047312,0.9119708057618744,0.8136071242099795,0.8784133542239835,0.8219962220780282,0.8974673461011233,0.8545530104217811,0.8749923958388658,0.7911965066047782,0.8237263856093493,0.7389984631993753,0.7424394025171871,0.7318770304487151,0.7842662898242531,0.8378877667140147,0.8363999543238927,0.9060559099058709,0.9326468445654356,1.0623673909140838,1.0096835829419424,1.0509936465323864,1.0030086347498683,0.9398414170552986,0.8424731536477027,0.8730972990371101,0.9698266054685255,0.9202908443877243,0.9167285555865706,1.0257939214211154,1.0335000065953086,0.940423604964855,1.0594086448378612,1.2425111955412604,1.051474159523001,1.1021282126379248,1.2356884835499642,1.4116008975318093,1.2936254330759953,1.0827696896008625,1.5220213998478014,1.3710520557059611,1.399205308112224,1.1859370085873415,1.0110940552281977,0.9881448967933709,1.067188468685839,0.948473853568539,1.0298716546856719,0.8090365952804346,0.8361578838552434,0.7502593833300701,0.7435437793100758,0.6735084580822885,0.658535829619944,0.6614696045315162,0.6669096385685607,0.770363935186771,0.6695302437348418,0.6892546997098978,0.6563823546571462,0.6781832883524986,0.6532807520904687,0.8114540153078176,0.7016454306554895,0.8613966216185474,1.3849705398799486,1.6072629485173986],[0.6856643917846049,0.6621092128509805,0.7096662558139252,0.5749882176345278,0.6107985520701236,0.6389159895190737,0.6555901474938984,0.6713713160278452,0.7803343667613153,0.7936762137981502,0.8216967164439156,0.8484427475775072,0.8163504287812192,0.8890377884497767,0.9537509771562087,0.8827600355193324,0.9787695670481935,1.0356870169303198,1.1720390019649403,1.1818245795477753,1.3700258954726896,1.4619134964373153,1.6650480800110803,1.7721077800368268,1.539583118023,1.367234588108228,1.1723921796603165,1.0108716347636209,0.9621371863226293,0.9041843992707319,0.9838583890241557,0.8809232223532425,0.9149141366961563,0.9954709424239873,0.9522318832139991,1.0160786946875273,0.9154026939709329,1.0291749891972364,1.012390479725226,1.0511579284926018,1.2496770876535706,1.228350336790171,1.2901881134919517,1.3684221600327828,1.8228901389050851,2.2868799565874274,2.921641280737821,1.8941651694432526,2.510191832543924,2.826578849620853,2.381944176107659,2.8495625062838257,2.5420576175458236,2.151910324185534,1.8730533996383376,1.5769943929557266,2.14304900185467,1.4540704151573332,1.5441172940675387,2.4946701698393934,1.6230766436322295,1.3792425429079895,1.269934711470671,1.5038715155664337,1.4114074019962204,1.3165925885656402,1.3498596819001083,1.1716299981265177,1.2105593969181263,1.2739777437762527,1.2696718115268677,1.5558532158571219,1.2814831391457662,1.4966930145039752,1.1806310973075482,1.4737438902899103,1.1988018123031003,1.1552785379841495,1.1384359361821634,1.1717524321929738,1.016340842707607,0.992686508440727,1.2607462042895214,1.0438066976967943,1.03613250082563,0.9839856670468661,1.0205691867127735,0.9958729129871885,1.0914920820617986,1.058491375457939,1.1000828015155628,1.1932568502553091,1.1326166083880709,1.0373520437437411,0.9745812220229105,1.0510080509499338,1.038105729466263,0.9459227457658895,0.8760469211491853,0.8643999076785458,0.851829968717899,0.7707022276132796,0.8025705022102809,0.7166690565672347,0.9010877034018382,0.8071197062071765,0.8369795027266094,0.867187526809818,0.7253768048825514,0.7515112668461132,0.6492935041047996,0.7104770265231984,0.7056879449903511,0.7271479694183496,0.8320532567478903,0.8531632801859869,0.9425686140602415,1.0938243642413008,1.1915763289271297,1.074317326577466,1.103008458655547,0.9620380477478339,0.943091150226567,0.8239031251294118,0.7828947691420386,0.7184244982469133,0.6052839835541651,0.6707009778968345,0.6670000869021627,0.7732314621385605,0.7638656993890891,0.8142981087239857,0.9722590129316242,0.8733093574144238,0.8968503101870815,0.9363864407649006,0.9301705564816364,0.8943786632528639,0.8514745484992915,1.0023628117180292,1.191566459944622,1.5055759909997173,1.1063623134980005,0.9810012198371124,1.0501694801699442,0.8969137999490503,0.8551330280406914,0.8146716422447324,0.74404788584849,0.746016483785384,0.7155071766892436,0.7339014949227104,0.8220032747738751,1.3309820979234348,1.221119435017953,0.7771983250414198,0.7719637077100924,0.7051864467364218,0.7793559590295428,0.7492601608498808,0.7571092787807941,0.8680418007132832,0.9005461282869156,0.9718000175506887,1.0484904370679689,1.1184867481718168,1.1823449913549398,1.4975601937776415,1.5205187080934117,1.197359409512499,1.0194692154111544,0.9278146191531615,0.9301733447720008,0.9002189674297371,0.8696998619821362,0.8454481022603529,0.8578815289785907,0.8631269927783026,0.9644934738588621,0.8967891769713267,0.9347711192886297,0.8071055209048882,0.9234157841404077,1.0485476568269572,1.041485359311307,1.1869555103567202,1.231207779393759,1.6548437668747829,2.3698060171055726,2.0338519512602145,2.503112256179914,2.448612420293484,2.046758794687407,1.6131372211256605,1.2893410295812324,1.2017843327032667,0.8991503698535263,0.8671140983653033,0.8129829806733913,0.7062971478873799,0.7323618190835319,0.6507659423174114,0.6290767732869023,0.6994105486220025,0.7145734853839552,0.6661010927456449,0.7527993658644428,0.8262396299794571,0.7981203897386033,0.8487178640580938,0.9441193340122268,1.004187205259067,0.9858688705820388,1.0775171177649006,1.2747793288519467,1.2715031590473957,1.2343847293706003,1.2438055916732615,1.038089743818468,1.0836415825200003,1.3360720002652258,1.4754645264487445,1.4220576018459326,1.4070425912046964,1.0491005403458646,0.9583603324661111,0.8628169634622427,0.965594667208443,1.1066226315269028,0.9702319755772681,0.9598716931395382,1.2328998749212459,1.1387144579472215,0.9931822841671,1.2392558872494541,1.405313214279075,1.20052586237228,1.1809652699528554,0.8948482103035516,0.8150598711046004,0.856456233146587,0.7813183879280962,0.8523159395866371,0.8364114298137331,0.8686656768406057,0.7519778625280992,0.8047808593989088,0.6622991505033177,0.6691904148263035,0.6607640234512316,0.7021168460767603,0.7459769138402563,0.7542300500023247,0.8335483742907361,0.8543353798317338,1.0003881135439279,0.9649091185010678,1.0032586242992125,0.9636013398397879,0.9036661568002254,0.8132865631810556,0.8431375746900273,0.9438238544049989,0.9005073524041053,0.8991636842766388,1.012608848876005,1.0088792048327695,0.9186338487181644,1.0702873433529103,1.2593489682180028,1.0468983796570719,1.1109890503438158,1.3074634237453775,1.456718855344516,1.3401092501265428,1.0836770939986338,1.6076115776186652,1.416552666099897,1.3590754074689222,1.196037431026972,1.0057483286322628,0.9807364924467481,1.1008678865808366,0.9356831817426742,1.0037091806976148,0.7457787453045838,0.7729296502043833,0.6802477078861753,0.6807274206793464,0.6182344525249215,0.6045609995296125,0.597804878171192,0.6019774366207332,0.7382206243508175,0.6059806521312107,0.6400563784149156,0.6177286169912812,0.6161889983423829,0.6219905019760836,0.7647386633170096,0.663077466410899,0.8193742949192814,1.4003744664627977,1.642105040875528],[0.7615352055031853,0.7269844132984392,0.77165342014407,0.6756973931500834,0.6851517092762053,0.7415616890653995,0.8027581692364943,0.8328181845081908,0.983364163598317,1.0247117756215618,1.0727144247991252,1.0809505509871113,1.04046312654996,1.1126512749579107,1.191718851013646,1.1212346457364064,1.1981522172839008,1.2494331608893934,1.3574909143131753,1.365233047432295,1.5343516886940385,1.6122151705669507,1.7993220257530371,1.8869970873984376,1.6618078205338456,1.5299042512846779,1.3553927174643896,1.1809280135275204,1.1550648325299184,1.1205061217785548,1.2246930895814225,1.1163264766228023,1.1638619183500878,1.2263555326940825,1.1729732131601112,1.2298391493756682,1.1184163888094563,1.206712446490952,1.1937526282490252,1.215638057919054,1.3845318644715872,1.3967765604535338,1.466643505267773,1.5503576216854518,2.003584159892937,2.5113811787410056,3.1170162967603763,2.0521390171013536,2.7134271762771167,2.910425916547158,2.5072109902152064,2.935958494019084,2.635486066537124,2.261110834220531,1.8996372249026745,1.7013715234228695,2.254687517934231,1.539929695827434,1.6212739590191338,2.5997326598386143,1.7866894951200256,1.547311291016889,1.452630814986825,1.6682332282959318,1.5600227144424113,1.4875653353634115,1.5207353593864332,1.375320921467208,1.4146003940879857,1.4690830576165343,1.4368292633000839,1.7225581595252273,1.4823020001897393,1.651042080317111,1.3907794448811897,1.652899880239106,1.3970826764893953,1.3675993522233203,1.3438568948106895,1.3579590808873685,1.2203443633505153,1.1760664336872342,1.4038012043959975,1.2079885025644936,1.2135841578251785,1.1502597917884891,1.210615772403022,1.1787598346137689,1.2953276040629051,1.2913314438832888,1.3361529672246948,1.42320013809729,1.3669981162696396,1.2957583402259343,1.2243485004638353,1.2989749927700958,1.270993162382437,1.1773941670395047,1.1052810642754427,1.1021930581418957,1.0811576818622586,0.9661355393129807,1.0052558689275695,0.870224056122834,1.0233676687937534,0.8783536893297437,0.8806492295320018,0.886586435717321,0.7720802113247759,0.8404065776621962,0.7509778187658672,0.8566391970019674,0.8766761059917141,0.9001775761663178,1.0284818687618722,1.0235290444122722,1.1084734881844673,1.24270155791448,1.352097950423759,1.2649835627508625,1.2783543219464968,1.1691740651550198,1.1117993828365909,0.9973318806377826,0.954129204059366,0.8672575075387621,0.716952679881173,0.7718051775719158,0.7375490727314076,0.8464765175363335,0.7781528733643883,0.8204670621433561,0.9860223959771778,0.9256964188735596,0.9444681730461334,0.99900632943058,0.955943611155571,0.9731967935539722,0.9457428443128818,1.127328601611453,1.3236017213445614,1.6368928253271888,1.2460114182663615,1.1174723365288026,1.1799158180693563,1.0622334475951003,1.023440149291892,1.00335461948943,0.9249113222852979,0.9315138118582527,0.882544462765039,0.9189971906198284,0.9916053022537284,1.4975399288130513,1.4219660967860352,0.9778528041038235,0.9745887944178304,0.8847496972711105,0.9914022368006111,0.9059207416896865,0.9152177140416248,1.0305462255687778,1.028683040642894,1.0951246403959332,1.1386060259517834,1.1849012945387642,1.2312903770725565,1.5328265291232057,1.540848866660847,1.2567091121748175,1.0705081012899949,1.004170197122587,1.022104597617538,1.011597462256928,1.0059143041217018,0.9909977608406483,1.0376064443824091,1.036389775636159,1.101459142783964,1.0249735028188414,1.0455287000364473,0.9136070983226299,0.9995485499291874,1.1040406398493134,1.1152737582620234,1.2921746753217154,1.3436984114329313,1.7007907065107428,2.391557013418958,2.105814523064438,2.604382500249457,2.6128461922780923,2.1276326981853235,1.647895839961436,1.2856657606255462,1.1527306997162736,0.8624221747375191,0.8180249816099536,0.7441408550549571,0.7034933506978649,0.6629247877540516,0.6377634385483218,0.6372995967754188,0.6332115510082605,0.6507537874287442,0.6604417393262776,0.7140387580369205,0.7662808852035676,0.7749306429742162,0.8506557274250737,0.9265470992927896,0.9873509298644346,1.0201320132817386,1.0986912954686925,1.2490502992264891,1.2353146900179668,1.2059157884188738,1.1709253874946262,0.9645709617529682,1.0060220564620688,1.2398352402980428,1.4405570414510114,1.3530653348588755,1.363200401920074,0.9534839957203632,0.8406759172039178,0.7752503914875081,0.8386577588692415,0.9628136855754955,0.8511706839031192,0.8682934104507076,1.1207877918703288,1.024453196785503,0.870628115508579,1.115805262639812,1.2632208885666658,1.0771967091848975,1.0792941198431087,0.7918762606784466,0.7565937322091681,0.7903012800455176,0.7308097086170615,0.8471810367763153,0.7914092576257235,0.8790156640264368,0.7526523387984476,0.7866107136100255,0.7227875756733834,0.715850490593869,0.6626758257205775,0.7415823200394227,0.817117702098688,0.798169519725653,0.8338634560134048,0.8736386778803895,1.015941652292722,0.9481387581842368,0.9684983597748088,0.9110296930019578,0.8243949237418806,0.7412756285661297,0.7544378912454848,0.8481557296772492,0.8151489416806409,0.7949971316770957,0.9020765208899881,0.9163655385859092,0.8143686979566912,0.9361934466061075,1.1372982887035687,0.9419616924822999,0.9904184030777037,1.1614274520840764,1.3431627094348253,1.2372242135473037,0.996584643436406,1.5213180308123373,1.3482858675943976,1.3101254584431388,1.1443871141642006,0.9507208539639833,0.9567149665006917,1.0625149659590702,0.8848511242683831,0.9414447168191808,0.6945246552826518,0.7188885565348064,0.6601278712934772,0.660150353537006,0.6519532171338575,0.6436208519563212,0.6724322717207896,0.6660452281311291,0.8759838247459986,0.6990888658127398,0.718446555304978,0.723578689529134,0.7345534629542251,0.7286300276857918,0.8600288169917027,0.7949830418876899,1.0043111591628968,1.6049208963475052,1.915682669444363],[0.6950046388381907,0.6862241981275452,0.7763905105797213,0.6472586719343897,0.7108969003134121,0.6911675987795249,0.7495800070724881,0.7682537023857716,0.8599990391957264,0.8971671524509022,0.9086652193458492,0.9385114294865916,0.9245451314696955,0.9818373877587738,1.0530424339465108,0.998409274638466,1.0926205820805266,1.1346608754069643,1.247871833275118,1.2690933242553126,1.4155794719327934,1.490794811133869,1.6810981770575864,1.7743774882527832,1.5768153009442851,1.4322559854029988,1.2662410574007446,1.1328599930316257,1.083231782590293,1.0392520121366096,1.0878745975528052,1.010909226893415,1.0458881753516451,1.1026179208327356,1.0731252436002416,1.128589326182517,1.0537428726295657,1.1549042504329077,1.1413353248422595,1.1757561307101678,1.3221139580331347,1.3073164710097485,1.3614025887667247,1.3903603019461481,1.8552210787755388,2.3626451539859588,2.972728434259758,1.8825327855141782,2.5967041944995795,2.8162848710901884,2.377390162402149,2.8387927577231538,2.5455526807190174,2.2153695188219875,1.84489742674518,1.5732059806778793,2.154616835865201,1.4937411055109597,1.6309400815325137,2.385241938469272,1.6403741324368781,1.40915028924133,1.3257135906304354,1.4905143143826374,1.4316648071945222,1.3791218450391436,1.3778507730360596,1.2340816994183448,1.2544207641148146,1.3175481007989103,1.296783711966876,1.519652262669433,1.2871057959541712,1.4908775552235807,1.2245947212419874,1.5170379637148834,1.2586240848871058,1.2245619040659446,1.227576045507025,1.2569588464611752,1.1442505722521699,1.1209572945165478,1.4089591229891971,1.1614617566842402,1.1761469026389562,1.1131268399928298,1.1442818020017005,1.136936365382079,1.1984606465718997,1.1657198955692227,1.180113803360094,1.259553259048933,1.2070749707300001,1.1309493227677068,1.0741637245138436,1.1267534135679864,1.1196314622771508,1.0539546538004056,0.9899067419055688,0.9763559612889993,0.9863337058394078,0.9087324634250736,0.955212173289805,0.8498592974042866,1.0235857424599701,0.8883080094094585,0.9055648402843657,0.9146904365961382,0.815168158728042,0.8676873841129431,0.7665806787054632,0.8537805418376854,0.849373871776244,0.8846376872395489,0.9660812787064653,0.9906936340807387,1.075591829203231,1.2142947106722384,1.2619396765420139,1.1636344665302223,1.1786069139606605,1.076499043397623,1.0628305491321695,0.9473813205608347,0.9009187424414642,0.8655173895224313,0.7195436116325441,0.7982465415429255,0.7790024188968482,0.8733931787421584,0.8338457782078387,0.857936725255939,1.002463121151077,0.9596656569088529,0.9756729227080368,1.014297966264298,0.992157239989177,0.9965968109255302,0.9767968886501701,1.1228065568629786,1.3244817969425002,1.574331765698209,1.2275209518908414,1.1318802714504284,1.176744001610875,1.0352683387324466,1.0033123524822758,0.9633584533315688,0.898806733261127,0.8843205029326556,0.8461021009193128,0.8551734559472044,0.950507455229977,1.4131464425420412,1.3119881236796516,0.8890121178831965,0.8929554401732277,0.8359881707633438,0.9245078667191429,0.9038039218749072,0.9305305673467661,1.0103364770694798,1.0341101390426202,1.0986657906951125,1.1578765122273937,1.21312672907612,1.231194052038356,1.517105525817467,1.5252061958105871,1.290139400295439,1.0946056766862382,1.0378742173186208,1.0501423345380414,1.0298387855535647,1.0142905660246235,1.0020363391830052,1.010846113916909,1.0123871046519604,1.0850224608174355,1.0265379452695151,1.0648154548165238,0.937340281170414,1.0091225412833817,1.111712709515852,1.133215595790662,1.3200774124283507,1.3774778818770514,1.698060975230288,2.475210925073485,2.057110466751368,2.5174063310177934,2.535188803425472,2.0671206250097165,1.619062423993258,1.2594220830248268,1.134241713293073,0.9130062515305397,0.867630551133742,0.820783158102467,0.7864732906368603,0.7395215936830642,0.701623154879184,0.6942952144085434,0.7074150612239203,0.7147077097786491,0.6971653834911106,0.760088679977684,0.8051650636597432,0.7924728402675604,0.8555420524418207,0.9286454732632831,0.9782595117388244,0.9984706430375407,1.0834072901760354,1.2302560132687608,1.223100954392502,1.1968278589336716,1.162805017259422,0.9749289479556521,1.001228517673756,1.2321069701155858,1.4669837082779678,1.3649086594091708,1.3921408688017767,0.9796535772963592,0.8729379073676524,0.8367709850805275,0.8857428638922873,0.9726494968729589,0.8882243059952337,0.951193068973106,1.1584695124673678,1.0683268734651048,0.9254659902745019,1.1040966063838584,1.2286454845184103,1.089778852034299,1.0967776580362405,0.8537400437760493,0.8301416522163666,0.8746654444646033,0.8220199466340977,0.9300725545992231,0.8404384792802211,0.9083850640433876,0.8193194489798337,0.8184110179642,0.7519988670999587,0.7469117583782883,0.6933049072619628,0.7469138494572098,0.7895527735072055,0.7898351419418044,0.8364112909640538,0.8589546089464541,0.9784930158100754,0.9323243043788358,0.9513579271438667,0.910060346375862,0.8279214448686957,0.7663900192531392,0.7985138646868404,0.8529035843237222,0.8374629006552559,0.8403521367479155,0.9276054696071987,0.9384305881872824,0.8693880777858195,0.9619871837957937,1.15062779037903,0.9752686496289177,1.012571077217281,1.1375685925865684,1.326930056251187,1.2432894197312725,1.0242641044807814,1.503859302368093,1.36950112650377,1.3248569809018789,1.1697967913728398,0.9793625849933371,0.9678214945433586,1.0975549853463233,0.933533919100867,0.9914739302839765,0.7913149306751931,0.793096131868815,0.733157805361603,0.7368481614859158,0.7066764491401092,0.6633347532598951,0.6770880445431334,0.6695386087355985,0.8525189134959292,0.6814398969624346,0.706686988470596,0.674843313992381,0.6900078592828783,0.6794563314173817,0.7852285619710053,0.7028846634975736,0.891378235694737,1.5292363315587987,1.802512764221953],[0.4820724305646562,0.47898640238864953,0.5275271860625733,0.3781713846801491,0.43498621907682783,0.47233734006623,0.5260812818429784,0.5345414148655144,0.6119501138149616,0.6582583836958121,0.6863145619981426,0.6955412241776876,0.7014731717559639,0.7451663753244804,0.8307806904015425,0.7591756605573434,0.8659828836023029,0.9187589522013069,1.0531109554917437,1.0712347926461045,1.2408905942968462,1.3516985426596846,1.5407236344602104,1.6411681500888409,1.4328085394042211,1.246606641697592,1.0770568877157967,0.9104599411239279,0.8588521531648466,0.8010247791712076,0.8583929987911885,0.7630427768612665,0.7887712341910638,0.8673662947017766,0.8388936067387837,0.9049882795670471,0.8153509826686762,0.9325067433922417,0.9278854368558372,0.9816881996182475,1.1762276572420014,1.1380719685388856,1.1898423056147154,1.2755947310118676,1.745014350836062,2.20056711518886,2.8350860773413746,1.794068112106399,2.4559020580771533,2.781614539679572,2.3203522568073205,2.8025944979151367,2.524952505062281,2.1406884820359067,1.8421166655824166,1.5178878623353693,2.1054966842395944,1.3803449829404975,1.4760638390015262,2.4200569002968377,1.5246583559337303,1.2593487913439756,1.1446997084367638,1.3634488548168744,1.2898220106894551,1.1943357277206106,1.197031356598677,1.0335620255993696,1.070376112449461,1.1609852325113608,1.1488751755359958,1.4433375704230311,1.1301426309492946,1.393059354486237,1.0340567549726016,1.3661726281472768,1.0663891582644316,1.0264547311678778,1.0252234516049112,1.0805842936123984,0.9178749611642636,0.9273457855844727,1.1914597153687245,0.9785379208038245,0.9850857437554332,0.9106587216249538,0.9276333123582391,0.9001681088640874,0.9799316344862824,0.933204114091135,0.970345173422701,1.0732037524980862,1.0044479761029794,0.9032869412007719,0.84189281983807,0.9147379976235412,0.906546952324427,0.8078148283693305,0.744553506234151,0.7435723547698397,0.7492714591727376,0.665567034518266,0.7313102544001217,0.6562142571854336,0.881037563624576,0.7571999002650438,0.7659519161662529,0.8194725781039199,0.6819642171222496,0.6840916249811505,0.5743026766547157,0.6308307586157872,0.6245356487353839,0.6531123856402922,0.7353748281556503,0.7629716285454633,0.8501576891478202,1.002322683448571,1.0669917151569615,0.9601490597999867,1.004447834280016,0.8524121137200598,0.8442538275502496,0.7221033166123841,0.662677900905631,0.6368900495797208,0.502118834041757,0.6116736522694143,0.6125647783032624,0.7379529547562054,0.726973154646475,0.7862085295412371,0.9565725317371042,0.8563314646549498,0.8760353360431069,0.9093675129669558,0.9067758224249378,0.8704020310676803,0.8112275181925921,0.9532170761500817,1.1324455956538149,1.4258405996343118,1.0075645589788682,0.8997481909506317,0.9735755260006619,0.8202716356862128,0.7828184265777339,0.7404459486152892,0.666719168097457,0.6478627849472798,0.6229543911068106,0.6116115337509787,0.7080744496323266,1.2094834883885786,1.1433286310750344,0.6738759989158852,0.6658230559327166,0.6134539149723357,0.6872665360259761,0.6746079138585179,0.6920128140864362,0.8075568070150946,0.8468460474388402,0.9129281124034069,0.998115301553793,1.065248784808236,1.1528225058523764,1.4674738721910645,1.511413975232749,1.1955522073665534,1.006738332425588,0.8887634630765286,0.8874437136412119,0.8542154979325223,0.814526212134632,0.7846467939824179,0.7838957288644308,0.7984521734607505,0.9152709142736871,0.852095880917048,0.8921875076629913,0.774759656416557,0.9010630710712628,1.02289087718989,1.0196186941661103,1.155358854863118,1.1891136690346398,1.6122530063415803,2.3500024629376295,1.9867295109904757,2.4645513953767524,2.4661228116097713,2.0484532584039403,1.6103198457294168,1.2651087276212152,1.1485105299117857,0.8407029722913256,0.8054043861127816,0.7236590195049881,0.6430122791353738,0.6092281246575512,0.5360066483507078,0.5246677489922256,0.5419618770717355,0.5369569897300005,0.5038482733491967,0.5925975187754948,0.6514991272701522,0.599248832550243,0.6657162087343748,0.7653250744546742,0.8075200034652992,0.8132308884823648,0.9259742094494742,1.097745137571285,1.119758630482321,1.0402662230140307,1.0306480007734418,0.8237081578887654,0.8540789194261111,1.1059727446454897,1.3084641407455235,1.2289042835449315,1.2719674387153854,0.8942581007498244,0.7939010628182321,0.7340503558006816,0.8337959734045086,0.9505692622404018,0.8346083576884997,0.8513670975055598,1.1112980138921673,0.9973038425824737,0.8698786753701647,1.1529414410234209,1.2523934869945421,1.0601562536122606,1.0878384163266932,0.7807618849869298,0.7411646847229689,0.7710611145114002,0.671335564181932,0.7868061549991967,0.712733778359609,0.8179756180313964,0.6728880859418833,0.6916794938837161,0.5880720742086818,0.5914073561565819,0.5100848964271593,0.5455559372317766,0.6257990200220954,0.6030192921341845,0.6564412876551103,0.6577323561264138,0.8258168698608014,0.7696222100642583,0.7795263438150726,0.7541979065989503,0.6866758624322914,0.6147362484680423,0.6579009096645626,0.7212153497045292,0.7125964246489854,0.7187483694883519,0.7990825898000342,0.802767565127847,0.7350672054364825,0.8675076832438406,1.0313432350174456,0.8491819862035892,0.9316339555630079,1.103837038480133,1.2861209306468449,1.2021991425685408,0.9237682293068075,1.5103494397431905,1.3347294025860084,1.1622371810664731,1.062218255853234,0.845007115994779,0.8280016659883045,0.9976055264903715,0.8043285553069534,0.8691194606676016,0.6119393677237367,0.630238517625853,0.5554574817311037,0.59551331835413,0.5148631997587089,0.4739465301913787,0.4893725237156497,0.45984994554579056,0.6581513755883609,0.4685835660249213,0.4622212664868079,0.4297951243660164,0.46154867349103607,0.42573593453736436,0.5522350117423978,0.477026916114264,0.6924635506442943,1.3820349894437836,1.62577871352857],[0.5091010212015202,0.5041414662863699,0.5537290967141135,0.4400954703947369,0.4973750482580502,0.5586240394000752,0.6544412147160292,0.6787789499342564,0.7647848615670358,0.830889180030903,0.8653312196552477,0.8732819887571672,0.9100790700325059,0.9337104022599887,1.0411297662878918,0.9949307266127442,1.0940752870220147,1.1591792562386145,1.283517570845434,1.3241343164238404,1.5036057530145701,1.6056870576958815,1.79242729570113,1.8725487577295736,1.6539364244486954,1.4894197201914359,1.3181562817084256,1.1386079083709935,1.1026664791060483,1.0463212817093543,1.1064923837836853,1.0103257221926012,1.0374151590545533,1.131111209118172,1.1002894676835602,1.1634580624937243,1.06802771036541,1.1806184029957483,1.1871557660741447,1.235403519159524,1.386588427300434,1.3902036412578143,1.465072312579079,1.5821819967074007,1.9949758336725505,2.507923869069497,3.1057517841107503,2.1144812558671533,2.7771029486656165,3.0227727546157945,2.599053985147761,3.05171713501447,2.692997740502039,2.2566078826960774,1.9655452901793762,1.7739769181275622,2.2817062133222996,1.601048369597993,1.6317838257537076,2.68321271926894,1.8013582699793933,1.549020336292637,1.4291522752536332,1.6469099824264515,1.5533511639408535,1.4681673062637037,1.4693738988464633,1.2969784407153357,1.306108062262778,1.3779445980943226,1.3651575357221486,1.6663641596168275,1.387636459969932,1.6199869681860186,1.2977805939639466,1.6010885242851973,1.345774737938141,1.3107348415938072,1.3054283536943665,1.3464530634603522,1.190297019901318,1.1764346163364423,1.35213462196658,1.2165729446600129,1.2265216955185423,1.1645665820837714,1.1950752171861232,1.1534190420288468,1.250176964278645,1.210233168401363,1.2422901308881387,1.3216433918647301,1.2562221764038073,1.1613088189896372,1.0836021320693001,1.1391076235867366,1.1191537476293034,1.0228904172708357,0.950488686994534,0.9366650961157588,0.9736120277654148,0.8671318860975943,0.9712534991962818,0.8495337561897546,1.0584076867517547,0.9297622688622799,0.9206401665337159,0.9770434312315973,0.8205733272554235,0.8277653293378023,0.718432965564523,0.8108361066474297,0.7956570595679247,0.8355625637308632,0.9319023102284719,0.9537050763181465,1.0466744774883054,1.1788421521592558,1.2849525747205606,1.1832337709768286,1.1956613525956796,1.0464319177291521,1.0029231951809958,0.8995154529211146,0.8274157130861446,0.8162562440141276,0.6557359670838946,0.7670523795464789,0.7527783999400117,0.9067117701610389,0.8655690763262385,0.9411892179188803,1.1349139010250306,1.0446748322312231,1.055900046470737,1.0642114131259208,1.0292996229884959,1.0248039087226508,0.9746907392310503,1.16769297406284,1.3393958689496326,1.6722936524353436,1.226096811663687,1.1165726060918382,1.200908278028163,1.049456433376365,0.9981048059687946,0.9609213906290057,0.872487410796644,0.8290241991190072,0.7774946521610506,0.7662166251236219,0.8443012287299714,1.292828646258069,1.2741845284196975,0.8597952140589051,0.8680213347137564,0.8005246772798584,0.9013977037168213,0.8883141632817051,0.9198152933944673,1.0379267710663358,1.075727069351017,1.1611084000624468,1.2436757546659227,1.282874794899191,1.3700691117920796,1.6648241047990733,1.6442149444069263,1.3429891159506242,1.1833002525399525,1.0845242332284029,1.1121382958438781,1.0825688305534908,1.0506993537406546,1.0164519292007874,1.0214722628518444,1.044626531583108,1.1567607998683147,1.0861927600222896,1.1257398379507977,0.9862534922903602,1.1174674779615792,1.2488924960949728,1.24195328527071,1.3858130624926865,1.3945501456552485,1.7871522942763642,2.4818660656617206,2.2296824418600663,2.7151128247312015,2.733047358955649,2.257007344093633,1.7866497757257285,1.4565456715444678,1.311508875840803,0.9558100000898619,0.9088620253193783,0.7975569027857083,0.7389115409223536,0.6799637373650406,0.6268573320410413,0.6198820093653321,0.5877979429161583,0.5746352369318529,0.5501371235245363,0.6120305278325101,0.6560378885655352,0.6069241455624973,0.6707933516220798,0.7555211324255329,0.7869315872084492,0.8012708749698013,0.9107624190506464,1.0776212156949738,1.10671747631869,1.0120358340652025,1.0120293350308018,0.8040941017060892,0.8274128322391604,1.0800041260951982,1.299681291700697,1.203232602343407,1.2521353439344924,0.8953244298540574,0.8190003162022681,0.7753793766858819,0.8939058313270986,0.9784026107059891,0.8763745428911678,0.9048692347976567,1.161963890696685,1.024856907680417,0.923663301295457,1.251265151555369,1.2856052001920428,1.0969588276667765,1.1546688981729964,0.8349455212727765,0.8450911363114383,0.8654827313350721,0.7474722381642372,0.8811182882158567,0.7871941235952015,0.909254056243558,0.7611262182475157,0.7546681138938941,0.6814284672505834,0.6714723033260933,0.5693876421621481,0.5928771841048806,0.6711710082690548,0.6265948912275797,0.6572933538046807,0.6575608210967949,0.8178380446417148,0.7559303404409674,0.7560556062792165,0.7358561662867588,0.680745956034504,0.6450738355181618,0.6885712451003289,0.7079997031751553,0.7104178690564128,0.7373736736607912,0.7903292200687762,0.7872018622557524,0.7397836732484847,0.8757369551308741,1.0165411743367425,0.8462839021967993,0.9399072381578722,1.1248986764296482,1.2876463574710466,1.2122195158250941,0.9234622998870584,1.546480248372711,1.3499646372816911,1.1406516111450338,1.0506808476158358,0.8339349202259796,0.8206297077761392,0.997830418501354,0.806553369240722,0.8656898650189979,0.6281755554173881,0.6500062084252548,0.6002834017334041,0.6757227906164143,0.6140299305470971,0.5486668176979226,0.5915750019366448,0.5403072971407418,0.7759782861860578,0.5623631149570106,0.5158195123323411,0.5172230548897646,0.5691300138456932,0.4980172180619399,0.6052256620599527,0.5705020703470813,0.8024582999589632,1.5245375150917515,1.7900932704618175],[0.5423295044602925,0.5456357971516026,0.5970556363564005,0.522635705151458,0.600136000575424,0.653074130472424,0.7597558720415557,0.7940841506280247,0.8618378194413795,0.9249074619967227,0.9505849514228183,0.9630454104311943,1.0131397413788474,1.0135645616857147,1.1216381621856044,1.085515658391731,1.1788404275114472,1.2286887003661353,1.3311491824206765,1.3831464535554083,1.5420753786934527,1.639055857922181,1.8046524644481279,1.8877956899842245,1.6877453953045625,1.5330388131018755,1.3865464869925852,1.2200779211991386,1.1894622751628259,1.1464734237445127,1.1835146438688553,1.1102458364759245,1.1285207442641942,1.2094489666295722,1.189204983058683,1.2469357149169193,1.171505419077675,1.2726016977169745,1.2806629055985959,1.3197127000528737,1.4513944787610127,1.4490571343141425,1.5231016664426023,1.6564603249400467,2.0727552824835276,2.6101507936307504,3.194145769346765,2.1800058344770568,2.8752125792725005,3.063430046334009,2.650058981535075,3.100712954929413,2.744989323294309,2.3265655146178137,1.9756403125957986,1.8278112899126586,2.3332314297765397,1.6351022552614236,1.6614292806945061,2.7072053827517695,1.8525343976743847,1.5914834375222715,1.4744565122699906,1.6601541986956712,1.583679857530226,1.5152499364949836,1.5016847613230153,1.3450173631366904,1.337164820657231,1.417711002972858,1.3958711024119204,1.6858395136264537,1.4161048914152121,1.640044966604802,1.3386189236672217,1.6299209064218572,1.3961471440543722,1.3668995431565547,1.3690520395496608,1.407251880840159,1.2733332701758178,1.2609841861820419,1.4446074237036077,1.3150284633019704,1.3321364947336898,1.2673098155482283,1.2798074502139103,1.244764390429146,1.326267745380522,1.285153910877647,1.3043945460039963,1.3676817874896487,1.3137326564411405,1.2343189312080705,1.1594576325357862,1.2056956146180722,1.1871323684742472,1.110671735472013,1.0486889161535515,1.0331732821715438,1.0838318839204497,0.9896295652815275,1.0952911720022882,0.975584908890504,1.1566666569434236,1.0466738362108343,1.0229774010660695,1.0821652736931142,0.9268045709176901,0.9469521825958988,0.8485812534205283,0.9462213677828534,0.9181653155603516,0.9618833113744321,1.0442401160226584,1.0603359051406862,1.1345579212799644,1.2512867280853996,1.3352921073132027,1.2493457553019147,1.257769785563611,1.1244120218583382,1.0796262452085739,0.9973265713657762,0.933333850372047,0.9484338532642443,0.7935328189300818,0.8906679238695279,0.8642354372204698,1.0197034344370628,0.9591134943390552,1.0329097237641676,1.221295315784734,1.1418339059279015,1.1523925634090302,1.1605869056428617,1.1145781224542446,1.1178790335826279,1.0768173781455976,1.2917183441179092,1.4508215164883225,1.7628692520811267,1.3039995822680908,1.2118256400104694,1.2868192746590519,1.1505979733681644,1.105979634493516,1.0772664573588582,0.9995202158239465,0.9492311395398368,0.8957386291402464,0.8822430499359135,0.9634460944961584,1.3467072493152392,1.334881909719323,0.9653549117938708,0.9768700551479031,0.9288198922605009,1.020990293992378,1.0181887178722844,1.046675303020734,1.151039384962701,1.1883175114762359,1.2666498960228305,1.338834286540863,1.3761693587941106,1.4479029302554616,1.7176018006604825,1.688170305101804,1.4298898204627541,1.2725151199313065,1.1849349945914436,1.2184395320688486,1.1957896853990782,1.16763171804004,1.1365614270996873,1.1424157827731543,1.1725083232065232,1.2658966995775263,1.1994381114989965,1.232599731997375,1.1021477021141581,1.2224677717671404,1.340260221687681,1.3366708642181646,1.4765949753694179,1.4784014913909111,1.8170272627065205,2.5186229704471654,2.2857998301880613,2.774281697905465,2.861855840185807,2.341206067004586,1.8613458850316964,1.5288237076392743,1.3640229719646093,1.0199085721328531,0.9737969144313415,0.8423514627156066,0.8205464227524573,0.7406427741673901,0.719702630075795,0.7161823403592489,0.6413999075313747,0.6328825385764363,0.6298471628937856,0.6443951676832532,0.6731095806897315,0.6451902734467091,0.6966314180730105,0.746310362718562,0.7666474436189106,0.7982425183354269,0.8858902667451206,1.0311771524571065,1.081169077986611,0.9740900065439254,0.964630845847682,0.7708576620604566,0.7854226913157393,1.0314142446010972,1.3102352452306005,1.1539792887241032,1.2739151252625585,0.8950038040836249,0.8252648636535844,0.8120571832491893,0.8882828457794332,0.9533933279698964,0.8757710963398908,0.919515786128734,1.147103593586277,1.0027772387396965,0.9215395655026505,1.255146479058477,1.2268041733720627,1.0594181385349974,1.1754523865256423,0.8499872230718062,0.9139433652918311,0.9227451352537559,0.8210143203565624,0.9662099073406575,0.8686161562701024,0.9876947382329321,0.8506211065909481,0.8245910820535066,0.7775432104304321,0.75545257981221,0.6617005880847445,0.6816201417460604,0.7523918377211859,0.6811879964195832,0.6943908300279548,0.6966459717301918,0.8220484750805239,0.7584770027939418,0.7509132986951054,0.729054349998684,0.700849478442172,0.7048175113195577,0.7314364387211126,0.6956724132558808,0.7118196382693677,0.7477334312674296,0.7691237504048538,0.7608921153054699,0.7374472767248755,0.8510114184958735,0.9621626187539513,0.8113624652729078,0.909466906453324,1.0521104912297234,1.2241569454314774,1.159605865444964,0.8875311101057892,1.496333313535641,1.3438813884367988,1.0823978851697842,1.0222910569669406,0.8176372144010434,0.8087038727477786,0.9936232980169435,0.7963276331851276,0.8304250800505577,0.6557075001561262,0.6708703750962376,0.6577118987651932,0.747596915953585,0.7147313475327373,0.6419658954506671,0.7069441094898031,0.6477565090880805,0.8837098246282326,0.6786049516556247,0.6116595821500176,0.6354375283077289,0.6810995606002022,0.5933339372500437,0.6717018488456414,0.6559546709468979,0.886523967984992,1.6433482488778945,1.9043146556322987],[0.49330392911270543,0.5036797314823055,0.5307143825753742,0.4317578656825395,0.5167597465837606,0.5528198612848474,0.6330552237240705,0.648877500896853,0.6762413724167563,0.7104428404454444,0.7292313126745584,0.7526623041452191,0.7904841013183315,0.7823771330850994,0.8796115333238278,0.8369606068627016,0.9342268158084296,0.9825170742480761,1.089935683699972,1.1390504093077796,1.2915513987899017,1.4057688719002663,1.5829807700789267,1.6723893657579332,1.4821898388564752,1.2962389482025198,1.1473864795663957,0.9830642532835158,0.9441227137110603,0.894173800387536,0.9361019582149225,0.8566062433205655,0.8732247852159126,0.9621683646048313,0.945015080086702,0.998570535652192,0.928809558980198,1.022879683323868,1.0420818025637943,1.0931864250771677,1.2511175735011313,1.2110490483628624,1.2687546424966158,1.3864790824974706,1.8071425232837857,2.2859716398545724,2.9028636642734904,1.9045599603490175,2.595856873608091,2.898468475815583,2.437090724249383,2.922069633994808,2.588961461012792,2.1714473932183207,1.9283038739012477,1.6268739839039632,2.146723777609818,1.4769665366786349,1.5304533681531518,2.5112190806096213,1.5746601165674337,1.3192158903686757,1.2166808091867516,1.42931990312856,1.3277609712099594,1.2592108751498279,1.2372993444634361,1.0924312754924097,1.094352985103649,1.2030763508859157,1.1893342790596482,1.5111362168613367,1.1761993651626956,1.4560793843818836,1.0935041191391064,1.3987565457896922,1.1424606761406144,1.1116979394604989,1.1172965223506413,1.1684770255833579,1.0398065822477354,1.041024947612119,1.266047449263469,1.1242683509891371,1.113678931431242,1.0406343431333234,1.041662201810284,1.018244073131198,1.0760640160478985,1.0288850510204712,1.0604362588642011,1.1427533500436107,1.0821958410608157,0.9786964906104524,0.9118973677258285,0.9693398383980468,0.9699064818264569,0.8795521348185193,0.8237615852422359,0.8229552635954303,0.8509603298342856,0.799029044925365,0.8921546937211563,0.8118216360380787,1.0340603924866503,0.9362229294112645,0.9436812096661298,1.0112176869630987,0.874025389727204,0.8586684551902822,0.7550503303835361,0.8057514276714682,0.7594148461558285,0.7802108008960528,0.8145987812879314,0.8360872523077195,0.9066867157680965,1.0342966950040051,1.1056206668001132,1.00483796355286,1.0260608197833148,0.8707948481298334,0.846185458533932,0.7834213384197927,0.7468607826658147,0.7905262023405363,0.7077588299446942,0.789592078326496,0.7923909601910195,0.9289872371249391,0.9073625308715723,0.9839367048492956,1.1484950768999167,1.0518950467756554,1.0609097362023772,1.0628368664662615,1.057334124536614,1.013945615521815,0.9336320384716543,1.0908711102501358,1.2093128411989575,1.4996541305195965,1.0674247590547625,0.9903342049791977,1.0755552451966994,0.9232327188658472,0.8859070466738642,0.8606285563923946,0.8059756441397306,0.7687269697827048,0.7504476320258521,0.7233898280981553,0.8172372696750655,1.203060442200633,1.178723477173035,0.7936949836606159,0.7851721591075306,0.7539178326124983,0.8185651731201105,0.854465887068194,0.8692026605150067,0.9426751413200971,0.9860280507549081,1.0511373138584836,1.1507349993344769,1.2016642169992373,1.3140791808912529,1.6008491644370657,1.6269358123984772,1.3320284865204686,1.169186464233216,1.0477019796888214,1.0575613771094143,1.0231406182683382,0.9772956044995269,0.9520464845094784,0.9362654141755606,0.9658811191912385,1.0715345033226131,1.0222796719402893,1.055241786814698,0.9587643415723999,1.0926311302134433,1.2102105829115093,1.1906827004905647,1.2960588281328607,1.2896028070355823,1.6791993017794438,2.389605110129338,2.1169938826595573,2.6247926172241702,2.686350115433601,2.2325576782322516,1.7808977664860737,1.4591098083253613,1.3202377280115842,0.9856888345916398,0.956416958802536,0.8436863662906843,0.7991937700597508,0.7437227936504309,0.702581229871491,0.6915282745741718,0.64743777953955,0.6349825828698875,0.606682749855867,0.6377670996987125,0.6743554919034965,0.6278163890902932,0.6632638362925357,0.7241185729647773,0.7356240978608447,0.7449740573392257,0.8385749199022949,0.9971588281463152,1.0720386691885324,0.936548191109836,0.9500787105968898,0.761457243065388,0.7698321745722875,1.0208436572146025,1.2845951509497542,1.151592883748176,1.2514613790308107,0.9069310591226579,0.8424811439803903,0.8194721268087979,0.9286778432875467,0.983221308742515,0.9093308481894579,0.9409517594237152,1.1685160786047493,1.0236493445104309,0.9453559167656512,1.2679409809520448,1.2451599956292572,1.0841821026727432,1.1723123599264371,0.8665562234326606,0.9101286443586767,0.9219018353691846,0.811284225006767,0.9531077493541787,0.868024310886195,0.9730201939558123,0.8331394775017457,0.8246256624035438,0.7476255210179733,0.727324280096192,0.6333503209444926,0.6281436624982831,0.6903756580976375,0.6318275981355104,0.6531094924451308,0.6405474133827085,0.7823704157034898,0.7265374589568927,0.7190508421725933,0.7154855830052629,0.6990761977101768,0.7075242659762375,0.7481833516571141,0.7117461847164099,0.7232585935597906,0.7675920389478308,0.7854674179417268,0.7658342296770168,0.7508443903109518,0.8699153150554624,0.967841021155769,0.8222198546426246,0.9255679231809479,1.0703433067271022,1.2170489962284274,1.1638907899494157,0.9011016972834951,1.52958892660985,1.3824136957795847,1.0563716353103585,1.0197004507418934,0.8199451570342472,0.7978603992075195,1.0032409255945085,0.8076178475248631,0.8479451122511209,0.6615373963349738,0.6726512760265226,0.6488845687563999,0.7353391268751562,0.6640111878520396,0.6026634863930413,0.6478574500024219,0.5886351568184628,0.8051719443191513,0.6037445717046162,0.5345465951151318,0.5404528837759245,0.5807175316618056,0.49991543533659416,0.5803119642618728,0.5628321456475684,0.8051154012628481,1.5215001386580682,1.735700359380615],[0.5546167161878429,0.5459984710962198,0.5562252019748084,0.4342385255470552,0.5000646262506855,0.5481457362353426,0.6232083912804756,0.6404630991633165,0.6774929070592948,0.7361289497038869,0.774048659729712,0.7876413412632781,0.8402811228933044,0.8426346144999369,0.964869070636738,0.9193775567743895,1.0214057454208105,1.1025416565435888,1.2396947944082322,1.2834363715967063,1.4707012910574693,1.5922257847395243,1.7860586382252703,1.8616697028169595,1.6367030040400659,1.4453567939348897,1.2711443080747358,1.087494690689219,1.0489945026127925,0.9772867648305172,1.0522454555150909,0.9420286652048543,0.9644528209210483,1.086260519613256,1.0549590911527122,1.1135027835462563,1.0208210636076909,1.1439728889485439,1.1554177485192458,1.2304317141493732,1.3784048373654405,1.3644663871490907,1.4326754767155674,1.5560940808466797,1.8978696513736382,2.371930156824342,2.962643904439523,2.06640597787141,2.693438288459025,3.015614723477383,2.5786977707771683,3.041425603121594,2.6638677944039273,2.182965822925595,2.0338367840832947,1.7835549890340587,2.243721146139007,1.6238276593423469,1.6178539352261325,2.74193245348999,1.7724395944078395,1.5264749980675003,1.4129403944725856,1.6592537323634233,1.539982553616902,1.4355028404893009,1.4372617837108426,1.2550764842745723,1.25881592023647,1.3361557839352398,1.3280369243920218,1.6530287882285477,1.349514733611287,1.6319268633291368,1.2596005726147135,1.5612439578313715,1.313547390027328,1.278689642540318,1.2730486492136242,1.3233477361562203,1.1680897150843403,1.1848536614422311,1.3074772416332734,1.2477657742438337,1.217779336866953,1.1424643007771016,1.168182514828426,1.127910035493748,1.2126892145899062,1.1654812800620602,1.2057727369104099,1.2936288624628378,1.22569064189641,1.103247590383444,1.017165960047193,1.0809340173548632,1.0539950660192807,0.9499066139175328,0.8735488827499126,0.8487374767709125,0.9000833738861753,0.8231728794152007,0.9441797212377743,0.8325419529918275,1.062415489838077,0.9712520043529713,0.9699327655255013,1.0324757857063704,0.8795145560810196,0.853594315446478,0.743905501855387,0.7989951968399216,0.7481230210166034,0.7800405776400378,0.8507099439825252,0.8772332179988941,0.9766726199253002,1.105459052871621,1.2501887448168956,1.1242889298118868,1.1218921587119166,0.9490091362085307,0.897660042429165,0.8125437554866788,0.7495021605793344,0.7738697165269002,0.6885047964861111,0.7811963524778558,0.7886323170142827,0.9398431606167591,0.9267976842256094,1.0288157868678471,1.1965163267945038,1.0984886886719154,1.0876374219811036,1.0646894188844693,1.0478094843986505,0.9976642334870738,0.9227725850404849,1.1113317942982246,1.257621012129694,1.6105322227714778,1.1812839753209659,1.0660626761845948,1.1657011543998521,1.0046224563112893,0.9411361845525318,0.9035100473246018,0.8236571258760216,0.7751714691314654,0.7421205672598677,0.7186895387812627,0.8017482726535176,1.1926263594259454,1.1794947109694534,0.8071853401043353,0.8054958709784851,0.7637372626889624,0.8535656253564704,0.8727035487725296,0.8961954205147349,1.0100611257495076,1.0475006600356898,1.1474299509523083,1.2608334511155865,1.2871576649697831,1.4029028461958863,1.705969659807914,1.6682910885925248,1.3209221768646793,1.1961726779184496,1.0811090812828885,1.1202672318865219,1.083952752931078,1.0431374977003252,1.0030461924505572,0.9960816708550198,1.0341537345800864,1.1683243596215118,1.1053250817313556,1.1357432158445875,0.9991446591783492,1.1642069255319631,1.2995953862250584,1.2703036739316522,1.403565107242725,1.3913400708103894,1.8598957346616691,2.4892918686934022,2.280428755135574,2.7525242889756742,2.7129113239809004,2.2840146343697,1.8171858859007528,1.524870797728833,1.3992622442607388,1.0266062992670588,1.0006278099964563,0.8870555183011261,0.8160428385089991,0.7821962936696568,0.717490880505597,0.6958717643808199,0.6689894529064531,0.6581938650439778,0.6119437268067097,0.6586820962415759,0.7050006658769282,0.6496135108212264,0.6910025455660685,0.771744572215792,0.7913006249440572,0.794542950188851,0.913666094194502,1.0786151592615878,1.130336641888779,1.0148724893240073,1.0221188100480532,0.8239494839495702,0.8419682134253659,1.0908572265976024,1.2718672659723824,1.2088221199405909,1.228523907472901,0.9694199034659999,0.9260340924263576,0.8791062702024013,1.0354546373233438,1.0785336520120823,1.0006095561789752,1.009835265125249,1.252150780874069,1.100954435581228,1.0365682421819513,1.395087888000717,1.3882751231386101,1.188061510212061,1.240555380799192,0.9351074084090364,0.960092329391724,0.9739511242475917,0.8375344114850257,0.9663735839473561,0.9016889564070473,0.9986286257831909,0.8499234533806171,0.832800496754163,0.7505596097676889,0.7377933060246646,0.6324078565111398,0.6162514916614709,0.6782734220411339,0.642623310848538,0.6687876314093649,0.6515106844904411,0.8302652072941445,0.7722783187025883,0.7690297050312891,0.7670835088362081,0.7403610257795121,0.7272094472515006,0.7756924206769764,0.7711521675178602,0.7744666672294869,0.8099289900500098,0.8510708636638754,0.8295503140297096,0.8019586018282086,0.9530215022013249,1.0603084067957933,0.8935188508350851,1.0039686938703254,1.203132344257614,1.3314549761995862,1.2663566433456304,0.9714151824140747,1.63439031774389,1.3986486620548053,1.1294446963220641,1.0827351682745354,0.870158375918754,0.8572024076971761,1.0503404034405772,0.8613508955244591,0.9107763909762804,0.6782590809103366,0.6979657981174997,0.6614044686221857,0.7514205920831614,0.6543443861203597,0.5980193948512167,0.6337960316311853,0.5764534887275984,0.7750164150405092,0.5890670254956346,0.5188573420246281,0.5153738833538668,0.5668440506894372,0.4891581364454746,0.5695434420534807,0.5631776637972804,0.7922572754230386,1.4905470165436474,1.7159714289740284],[0.5066017591953987,0.5254981077125709,0.5462994408677344,0.47220244589205007,0.5769697247028439,0.6235964259730458,0.7517410932546391,0.8044937230792014,0.8352548217143315,0.910479400860193,0.9530440898505333,0.9688963068775867,1.0410896991757783,1.0222803473048871,1.1733443343195786,1.1452956537448946,1.238672092939368,1.317523730546873,1.4412684107463785,1.503714701310461,1.6895448688424015,1.8055666117097606,1.9836727583808549,2.0422099958263824,1.8292381258093509,1.6492695659890368,1.4866898046608537,1.298871954555313,1.2728256492425363,1.2129423304223899,1.284412924539901,1.1833708747461513,1.2033904801505357,1.332584798082141,1.2950520837574224,1.344781489048253,1.2693472882757508,1.3892428343191288,1.4000971008073344,1.4703857902476347,1.5830672115707887,1.5913415712208214,1.6698504352641055,1.8059259978546298,2.1103181088377654,2.627464444025127,3.164005236339257,2.3061498015697612,2.9659721154683827,3.2068558987683047,2.781841265134627,3.2216546423589,2.8061514416131668,2.313996896163402,2.126471684199545,1.9805341036309285,2.3946888059476272,1.8075499966165225,1.7787742413419179,2.92077150742173,1.9887346629576996,1.7501213224263252,1.647854638483659,1.8725266106253442,1.7529037565942047,1.6600890486761468,1.6583263591345823,1.4758257139417565,1.4583654943254092,1.5150360987696252,1.513112896906107,1.8315912592892554,1.5590019740179446,1.80815950129372,1.4791737114062995,1.7639128704098574,1.5414115976756606,1.5176388648009747,1.5153799321381807,1.5593941326701188,1.4137170780736312,1.435153952831586,1.5118294752077455,1.4768113185944065,1.4614308383487664,1.3916366554571034,1.4153885790726264,1.369447843863874,1.455124164367051,1.4150760418148196,1.4432316810689512,1.5158935769805102,1.451241276098165,1.3413482746141698,1.2430898956793583,1.2906046067299175,1.2472064887951921,1.162762200092236,1.0842511353791773,1.0447533097735595,1.1359457197890377,1.044770463974774,1.1806441695299796,1.0478351335245157,1.2349181892610932,1.1589687061377083,1.1360944053335142,1.2000140697241632,1.0274756433070238,1.0119466955688867,0.8962154480773686,0.9826095476882161,0.9290798357618467,0.9712203627181855,1.0420979747080215,1.0596891057864806,1.1693326196215017,1.2714059653480374,1.431464196508409,1.3259018560222944,1.2959270809060683,1.12736941445459,1.0410180274109464,0.9701856921404892,0.8999002630551026,0.9554509796511609,0.8478477531207289,0.9444813332144844,0.9415908686195466,1.1138474512447654,1.066442438159772,1.1779479083429463,1.3610830031410175,1.2836473578424676,1.2603303396180237,1.2137174698807296,1.164157622786033,1.1477509367693637,1.0843168303612303,1.3162703105630809,1.4472153823612839,1.8032059440301846,1.3873095950567178,1.2736857528903278,1.380207846836158,1.2265011280870504,1.1534613810184058,1.112492710382799,1.0364767597128122,0.9715907301962124,0.9227652189201941,0.906416642946557,0.9917115133284766,1.2663731160001788,1.2857329729731284,0.9957596233334519,1.0128879638498223,0.9726231409573278,1.074761818251948,1.085511278882358,1.11546934358754,1.240870130287485,1.2689003762780824,1.382081923161055,1.4870882418388438,1.491661949817388,1.5882789873302277,1.8478430953916258,1.7715990471791725,1.466356558833263,1.3596347964988975,1.2697522286643852,1.3336550268937062,1.3060020256119969,1.2775054911070862,1.2322406631858391,1.235212160227653,1.2912332503403439,1.4118231158934285,1.3401092534711827,1.3720280069516462,1.2071673260297542,1.3648361050490738,1.498965883036803,1.4801028131817353,1.6284950695292015,1.6095654427225892,1.9990280121864712,2.6280370028755504,2.472639585400335,2.943115731699091,2.939114992822039,2.4578569058859085,1.9709173687248704,1.6835540652789347,1.5381511250552795,1.1255202255429348,1.097884816628661,0.9599076933783547,0.9198306212976419,0.8521631440865083,0.8224232952312759,0.7998259623184315,0.7161057109049074,0.7057164043020039,0.6745880184051922,0.6653088666346249,0.6976681215422328,0.6574666287153248,0.6747804208906361,0.7281383569291943,0.7356954562273467,0.7460176469937221,0.8468619895458608,1.0117790926830443,1.0763505548368573,0.9373770706148273,0.9597903702954707,0.7710693666829935,0.7835375691869244,1.024590280123378,1.252352719159199,1.1542244168909905,1.2191462005945555,0.9498333717937991,0.9382693496033017,0.9302914233668758,1.0668187430069993,1.0916842889018994,1.022315788233544,1.0548412400088523,1.2848183224382528,1.1080980107210234,1.0641316945459558,1.44732201636889,1.3649671015868103,1.1792811922652442,1.2877717115583094,0.9653889962722448,1.0612046445734493,1.0668931000375679,0.9262105147825029,1.0877434831203294,0.996624918893498,1.116043543222512,0.9668153454271391,0.9328791758342845,0.8825979022960955,0.8601262375490074,0.7270691126438111,0.7035417252796365,0.7591848067360877,0.6740201850892175,0.6798700589519422,0.6608246360438149,0.7877742093754945,0.7366426711578306,0.7290897864605999,0.7358711546208825,0.7399729349404027,0.7750679269538384,0.8166307068886995,0.7460646848348842,0.7606005995210232,0.8231402101141512,0.8181357037128564,0.78731116063716,0.7903406629261869,0.932010093795506,0.9972438750091175,0.8488320503228689,0.9713244059506487,1.1551112476347134,1.274420095460549,1.2172352435678497,0.9328255964163196,1.6101235987083766,1.3883461895612412,1.0710420570393744,1.030847630172881,0.8246000744009728,0.8047264365526898,1.0112779498721567,0.8229686057514023,0.8687711394961115,0.6854434546647028,0.7088468978631975,0.705107758044215,0.83586591527636,0.7660736718177827,0.685499447406735,0.7572667941991801,0.6819569299031475,0.9058692977074155,0.7038052096570521,0.5920036187229973,0.6256417649295803,0.6790860567581138,0.5536853531260196,0.6300516377177329,0.627341655245034,0.8904084640582608,1.6279517461699793,1.864837315871957],[0.6834035293871431,0.7008631917462245,0.7029890245079664,0.6780009619866435,0.7598277951795688,0.7881535700340547,0.859233674073058,0.8980622757625583,0.891257479568927,0.9358364419974985,0.9645736308769586,0.9912600794372465,1.0418120614781134,0.9974822375741172,1.1140979942996638,1.0885115685594868,1.1735073624323071,1.2148491611289975,1.3003479890555942,1.3734793182443779,1.5285134424019033,1.6428699456062932,1.8044542022315533,1.8693251027220807,1.696853136768304,1.5014920887119154,1.3785873075979826,1.2157963414248252,1.1915744975422766,1.155639068436973,1.191746178037333,1.124717357697349,1.1327866438882257,1.2382947751831495,1.21219929987607,1.2498247999228245,1.2116474178883272,1.3113562652409496,1.3300116067824042,1.4016468543933303,1.5037174834104918,1.4724274879564248,1.5449230415285573,1.6852852252078496,1.991430264054721,2.4995851670623783,3.0588489773474614,2.160620163362315,2.8550359276868758,3.111974758943171,2.669735151883883,3.1276972449356997,2.739260948473149,2.2923498292248743,2.0779606606884182,1.858149551447808,2.304374664885186,1.7199851346691608,1.6789977177863225,2.7656502269313146,1.8224152579874737,1.5760474324894442,1.4866202539348927,1.6875251678227725,1.583843130103972,1.5041385444837458,1.4827429859224972,1.3263457163985806,1.3153024604147798,1.4159365951537979,1.4185138620609659,1.75933940475923,1.433792011556535,1.7019098180065464,1.3360080983295426,1.6012765522163461,1.3939673196258289,1.3775747243293182,1.3843499584041432,1.4380548360514105,1.3194854554246245,1.3520786310809592,1.4909681667704557,1.4466711696947099,1.4291215036220943,1.3466415141877728,1.3244816838850706,1.2900210178588383,1.3403271304854607,1.299072721048869,1.3233875502832126,1.3806891081582262,1.3273823804991653,1.2410587144866565,1.1623659970355587,1.222784000192316,1.1826928116445488,1.1210149770388447,1.0680716636132983,1.0617079593805618,1.1260502363822125,1.075014024026171,1.1848487824201488,1.1123650715757107,1.2773526984060983,1.235407365690991,1.2311150647804892,1.3126832589720276,1.1586124152847794,1.134438521895464,1.018565138206248,1.0691127277775005,0.9961617968879487,1.0217137750458605,1.0411797088105819,1.0477640202613507,1.1159754151240022,1.1952065490447328,1.312514145330106,1.2255342921690784,1.2148776585838168,1.0647359989564984,0.9946264185245614,0.9721475569116229,0.9414585115510921,1.0346919298104111,0.995924567701975,1.0513547297242494,1.0706798130766226,1.223880986230684,1.1950124260476223,1.3006252705436776,1.466257810937884,1.3761053433942085,1.3643826780990165,1.3018462747738866,1.2699107660306774,1.2350548044818812,1.1610271201831597,1.3444543394929567,1.4150053314957645,1.7213680771507744,1.3057547905768416,1.2329751978270695,1.330661710803495,1.1836808779633556,1.136568866839273,1.1088981117775203,1.0711906992660758,1.0181197387210583,1.001168900964455,0.9769535540396137,1.077735807606354,1.2938491882367236,1.3101401755465183,1.0451184346450801,1.0522714894746337,1.0229022715409408,1.090791618941915,1.1378034133896295,1.1505013821543348,1.2309887091230411,1.2744727731613263,1.3667121425595723,1.4922912263487151,1.5274168258385843,1.642211221201163,1.9017873140791342,1.8448690506757681,1.560999475333225,1.4503374051941564,1.3350463734126305,1.3735034754473436,1.337765303520571,1.2902446007368435,1.2501663355155397,1.2279681945308019,1.2927471655595504,1.4035922007134292,1.358330261897114,1.403012629732949,1.2563646549119365,1.408405915678736,1.5488821745058354,1.5294334414070514,1.6165433175577635,1.5716557344367466,1.939468895831315,2.607075438660398,2.474251767127274,2.9633782099954282,3.0191371065710833,2.5314870503348024,2.05692124472917,1.7809307839119577,1.6382170203320867,1.2492717959803517,1.2304172453105156,1.1016484862359581,1.0766657291632782,1.0173479619897023,1.0001027031953358,0.9701463719354486,0.8867181710407023,0.8874912080715708,0.8650128498989985,0.825854741296647,0.8526987053677189,0.833403617993597,0.8256229161825305,0.852243300027316,0.851972680517998,0.8627580971458677,0.9251652127683219,1.0630993334256964,1.1169581059645237,0.9649039268034839,0.9961896383372831,0.8681152128804459,0.878842668561075,1.048877987637664,1.3362880564509492,1.1874448022007467,1.323736350200976,1.0760142094367284,1.0652385750740239,1.0915027452084103,1.2017953934362715,1.1918630743863208,1.1491814016953632,1.1945197316209186,1.382361183438587,1.2023632847147676,1.1752383493244987,1.5286920047484789,1.3915821098928354,1.2387643438103864,1.3837367205703233,1.090317681069466,1.2149399758121129,1.215842844711767,1.0973163841042803,1.253733326556665,1.1567502704239216,1.2683827926789892,1.1444224581978604,1.114160326953146,1.0682051209450025,1.0322899176083333,0.918614744664571,0.8948394220813999,0.9347102665134217,0.8423763808963617,0.8427527245743643,0.8292693922682244,0.9083548106597061,0.8639620170512109,0.8601621383322334,0.8743494497886932,0.8984947011204549,0.94588745902596,0.9834123818378695,0.8861814354746328,0.9049585841998311,0.9642292027585612,0.9258780697699149,0.8931776081178663,0.9191559415308153,1.0237026205375876,1.0322768553746733,0.9234648764051818,1.0262594594394168,1.1485067469449572,1.2528515620142888,1.2079245758190789,0.9800387788937376,1.6104070482548982,1.4396172609923328,1.0697287796004107,1.055020404590595,0.9030039376721167,0.8891019048409962,1.0700303526921826,0.907549386388054,0.9206939354415065,0.8270034979378776,0.8599226521738843,0.8639359212097338,0.9930091174745515,0.9189995701400461,0.8591864344116175,0.9180872125382116,0.8531894389581505,1.0792538646687801,0.8646723124388792,0.7774338376533891,0.8053265942729029,0.8367486708372517,0.7433103086871224,0.7920139287057749,0.7717063161215008,1.013248733778162,1.7462379737610685,1.9543404346705413],[0.574829299623474,0.5925521675570302,0.5894300615611596,0.4960112910180456,0.5892054461202735,0.6119089383199257,0.6920926757940642,0.7392576246697542,0.7262913180192097,0.7711440062494428,0.8057059851154657,0.8355153642754416,0.8850665596316585,0.8645169193181318,0.9847267699163313,0.9556183783362585,1.0514724748021833,1.129203851340754,1.257138758420146,1.3013947409375946,1.4718701841218618,1.6004112586089871,1.7781555409986756,1.853522720700098,1.629450719126236,1.4318553170352415,1.2831199443217973,1.1197419794544243,1.0849396641926297,1.0162322461967217,1.0914789963195188,0.9966900560433283,1.0134484784196307,1.1395674034685113,1.1082781448440806,1.152275074221071,1.0760093380676308,1.1816590236886175,1.196079126179707,1.2668635268764732,1.41832987739926,1.3863942734195462,1.434639738791132,1.5210917993278805,1.8429145121268882,2.2600667077085888,2.872294785597443,2.026518767742805,2.580112313497191,2.9785120199017037,2.5291859607827676,2.9908747200234815,2.613295979302056,2.1203654214392085,2.109647394148913,1.7742980000676114,2.187866374536809,1.7000988617889043,1.6627998824381258,2.730354064466206,1.7334007687679573,1.5105826086923444,1.4315403298590448,1.6718943564509612,1.5409610579926,1.4366948977914817,1.4405550946821128,1.2695400529512229,1.2768209098488976,1.3462163596575876,1.3641401808427436,1.7050499802717396,1.3786761086876904,1.7078053892546843,1.2820915652138951,1.5567749828878206,1.336313114681468,1.3047142349746699,1.2997564555249912,1.3560013492195098,1.217119218718836,1.2486198365686965,1.32387764980128,1.3156683702823868,1.2606198790984922,1.1980782672654744,1.2152137120959174,1.1855486716815777,1.24591523946093,1.1965630338277073,1.2375559621631118,1.3103205317277482,1.2440029376633996,1.1340656770676305,1.0512256088054122,1.105530644890831,1.0932428173544324,0.9923592227449136,0.9173497959449844,0.8931220895382477,0.9624592573214973,0.9130851247925686,1.0255037764003052,0.9401751766451891,1.1589159084687353,1.1010061862563822,1.0997204094230333,1.1675004669187985,1.0101684036022456,0.9780059043856545,0.863439361954544,0.8936032483318203,0.8272771772079509,0.8412473416504117,0.8836204412727068,0.898867252737909,1.0009047541448426,1.1024298931136323,1.277521921082855,1.1408425624352507,1.1257962465539764,0.9499266989412674,0.8899540782569334,0.832785902494587,0.7823474894720885,0.8436121184183313,0.825912177209575,0.8796283319549832,0.908708946617116,1.0593264571263237,1.0530254374526289,1.168271866491349,1.3159771517063361,1.2240597336304002,1.1915480960273988,1.1315237259374906,1.1107685199918582,1.0596575946267865,0.9691187411199823,1.1269903971066006,1.2128104436066673,1.55221163514477,1.1952205594927316,1.0891809236123384,1.2030721996271823,1.0513694572207557,0.9825638267342349,0.9599379524694384,0.896361885308299,0.8539623419685222,0.8390510740669969,0.8243426376343059,0.9102908240254868,1.163479890133047,1.139056967991035,0.8847951318863312,0.8823001060304623,0.8479156968650504,0.9212004970800488,0.9632648578786013,0.9821488384303961,1.0757283012801635,1.10188030657884,1.2017160505416085,1.3283007654719468,1.330281392203112,1.4704884613289773,1.7533360615177171,1.7156721437571418,1.3569752704643816,1.2681050300649572,1.1559507233233035,1.203330255384973,1.1675091930027113,1.1283638042336765,1.0920737458657734,1.0704478767224992,1.127083845897347,1.2497848412672818,1.2058722469701921,1.2244489600488664,1.1106092002498194,1.272102300161772,1.3962885180523765,1.358343265088839,1.4612296609316613,1.421337152125278,1.9066955227826405,2.4814472890754167,2.3241469596983397,2.8013836338275553,2.7642232878506476,2.3656801072580325,1.9047987532239434,1.6469886108812282,1.5265791486435136,1.1264279075222752,1.1166154917130955,1.0111139834931917,0.9517488652267453,0.9186846751524664,0.8745509965340912,0.845013360800218,0.7972438945559747,0.7871387409789565,0.7298397602936947,0.7311021785675211,0.7717066465868595,0.7223116809261863,0.7189436280940721,0.7766327813969859,0.7754457300938586,0.7670044641178748,0.8550961230097883,1.023845982909786,1.0970210329122838,0.9473389527697841,0.9863634790569278,0.8295732020276916,0.8387415854613324,1.0552221535076511,1.2425314974592583,1.201189482543522,1.2586123798819158,1.0356360391659556,1.0299817105827827,1.0010087185247942,1.1500546647894834,1.163225736696971,1.1008087802914113,1.1201758399201345,1.3503854201681833,1.162357081879889,1.1302894950630076,1.508390590722411,1.4241555496366372,1.227841931421639,1.32230400665192,1.0271371587203701,1.0927774926927005,1.1104321214792834,0.9864113991277293,1.1211996996970124,1.0548935647848128,1.1699507367133477,1.0223084877697464,1.021895268017495,0.9348057344030513,0.914042866869716,0.7779477443052408,0.7392296183575324,0.7737295707671764,0.7131485995830432,0.73097688680062,0.6912815396372697,0.823744458920493,0.7746401584168656,0.775576495468136,0.8064832095647261,0.8248196760763958,0.8507861526650153,0.9098277929716794,0.8408195751773021,0.8500064392086383,0.9086360458750975,0.910790993487785,0.8680847188082703,0.8758971495318929,1.0141728448158156,1.0489465975689658,0.9117509932782633,1.028559119928641,1.202767707941631,1.2785181506592114,1.2465994433653833,0.9803521927214269,1.6606406103802938,1.4372848191922376,1.063676832617219,1.0566032973497206,0.8728562875031711,0.8423856111783853,1.0486252663630713,0.8861805073811481,0.9160366853260898,0.7522707406378983,0.7785248926168955,0.7608432573936647,0.8785532561512776,0.7733971815039151,0.721320873841803,0.7653908564385629,0.7000535245469892,0.8818200631415334,0.6983949079771216,0.6022796154932979,0.6206965804897657,0.6595289857754434,0.5533545034321952,0.6089083696596389,0.6498840893009901,0.8857027201099364,1.516929148881874,1.7496932486774788],[0.5159423022050699,0.5185736703409485,0.5202637948469313,0.4085637340347567,0.5249603045156244,0.5529707358387256,0.6437845340761814,0.6921508961610383,0.6889818932515446,0.7508457647894679,0.7930957488375228,0.8180451295182697,0.8827859774115308,0.867417169339829,1.004592006380579,0.9810179085566958,1.0828669190550444,1.1795002087077167,1.3253162038114554,1.3867105358088385,1.5870794959510641,1.7263896969489305,1.9247971255919847,1.9998532495564931,1.7491020698986037,1.5315362787144995,1.368322159669923,1.1723011926358642,1.132709548605997,1.052237377688537,1.1398056742368203,1.0280357842659746,1.0505658474487094,1.1987826671959183,1.1639134422400959,1.2159828442386273,1.1261655586025068,1.2532729093746913,1.2786611992486694,1.3693322689578709,1.5167167044319687,1.5005871183567152,1.5706649662946761,1.6605586795348337,1.9453039257894118,2.362870452135618,2.9701230699685928,2.1695746430487692,2.6769031421801164,3.06645041507939,2.6439363497131456,3.0736590550537723,2.6716107667903066,2.158136869963429,2.1976682659271627,1.9021732134505078,2.2687564911622755,1.8188729608368603,1.7644771271367068,2.884097651697393,1.8823753776302978,1.6483655635353147,1.5562821280029246,1.8241065715224363,1.6745794476513458,1.5554202959951728,1.5583662331673316,1.3581585755933534,1.353459621662152,1.394813951781928,1.4235505867677223,1.777010251784037,1.4634657393295372,1.793550848877375,1.3683884953000331,1.6574920039719303,1.4404003202729458,1.4065101274780527,1.3985915951088068,1.4677510743513318,1.3104835044172267,1.3479603207522128,1.3761151575673647,1.3966141952688134,1.3398285462448185,1.2687907433169794,1.3071090750854608,1.2586975225502555,1.3331833559634065,1.2779543110194311,1.3190259786638858,1.3978058646327385,1.3159325682909047,1.189387573148367,1.0880796620023223,1.1400283745354378,1.1062749173219015,1.006303986203217,0.9171505599517829,0.879050748053572,0.9726677574583488,0.9046919973380336,1.0441415961448783,0.9366605774457748,1.1755100600853305,1.1032477979345208,1.099955877525932,1.1650875073801528,0.9952263088745884,0.9588265450396892,0.8327239538683656,0.8726437684847465,0.7975882937735292,0.8250728287801788,0.8822330387086217,0.9042757734550229,1.0280573146983873,1.1343014223545465,1.331369782652793,1.1886442624494076,1.1605075179794733,0.9675667122909049,0.8953338013737917,0.8209183853005774,0.7547817367639204,0.8114379184999139,0.7672679212212096,0.85184967956796,0.8902832417207976,1.063499044040505,1.0537450092616145,1.1847234619244333,1.3394047521469516,1.2515926882733968,1.2052441576297612,1.1324730385023494,1.099949489356644,1.048907621447173,0.9652010155994316,1.1395426375020736,1.2443435150179638,1.6184687995648446,1.2551697605313057,1.1310715993682323,1.2615696306604567,1.0939009686840833,1.006760988028228,0.9700374251184691,0.8931430286929193,0.8318822653403637,0.8092077310555947,0.783478690407507,0.8764570859906826,1.1509388087870873,1.1203864287628074,0.8588759285648301,0.8641760907582245,0.8338530497953098,0.9244660368023323,0.9618382612179932,0.9937641157983382,1.1120664251330616,1.1377542911628582,1.2636814433483148,1.3920158023459832,1.3763182760095787,1.5119948813142896,1.7866374023695801,1.7178876443346314,1.3475797329494692,1.2794032001483118,1.1742492834521818,1.242155188830126,1.2079594583808837,1.1715764027991935,1.1249869425188201,1.100284921649607,1.170733963826899,1.3067041112389612,1.2609596340704985,1.2813267829873791,1.136102611787078,1.3196522347592947,1.4563347632213384,1.4114786178964633,1.5412523797858315,1.5025149773304685,2.0230483480825487,2.540337058419952,2.422771004045196,2.882574843173972,2.7817233654294875,2.3936919917377084,1.9240400465178564,1.6849085198075189,1.5701953641319202,1.1513647340206057,1.1353538333246251,1.016588955189816,0.9388495267086328,0.9171025285870337,0.8531125874982795,0.8194903248223119,0.7809258671936254,0.7687704651108287,0.6942938873794726,0.7063358470027534,0.7555396878654077,0.6964915865559143,0.6909554385799932,0.7663466214578494,0.7738491751049453,0.7500274094235625,0.8492361711208533,1.041436616702205,1.1169896816406002,0.9734161720838271,1.0193931093271562,0.8442995882021823,0.8665393716194677,1.1152007451803214,1.2464321101130298,1.2516416907713401,1.253425573923904,1.0627274718115134,1.0558118321691277,1.012968795617742,1.1973391498936967,1.2144675198914698,1.1355458511522718,1.149893028240202,1.3956960225801909,1.2042419533945288,1.179340115642263,1.5785430687717603,1.5175195321841006,1.2908476979703871,1.3644296748762805,1.0505763317479708,1.1034858175557414,1.1225943130517528,0.9835703679255109,1.106518469301397,1.0461006826648411,1.1628825370495575,1.0041696553389283,0.9959106015281379,0.9049469623512071,0.8856199537680742,0.7452328433896476,0.70114254444987,0.7339734290262562,0.675876422014049,0.7146532362959122,0.6589288114658157,0.7915911203588697,0.7597463862075119,0.7733210311893132,0.8055383384749655,0.8229987235306084,0.838092687673719,0.9089386898847849,0.8521571475627672,0.8505489416864281,0.9196389484530905,0.937309056309794,0.8903620553424486,0.8925004901342365,1.0570610417023152,1.1021421605961477,0.9448986897736364,1.0682034771500881,1.281125806867752,1.338091687801236,1.2954827912903462,1.00454610580164,1.7013817776106597,1.406048114755989,1.1007554236687183,1.0685190994978018,0.8747800307681111,0.836752857679025,1.040543120139211,0.8755314184500346,0.9278753828240742,0.7441029275848247,0.7678792574512192,0.7307367995996165,0.8621382539652869,0.7410648839719133,0.6769343100793188,0.7246473788247866,0.6526216059000197,0.8404632563564353,0.6459586895865975,0.5393542716326251,0.5541995513066151,0.5990768453899243,0.4742815518187079,0.543944887031648,0.5682175321901994,0.822211175707679,1.472903458049174,1.711673502652224],[0.5493026889275421,0.5358867002217931,0.5122569900869579,0.3946619236361735,0.4749188399500401,0.5192131970480458,0.5865374187226213,0.6147166077508731,0.6156062937886266,0.6539823617853687,0.6879878187634196,0.7089362907659822,0.7701633734700118,0.7681103185213559,0.8786609148750861,0.8420594971309227,0.9405720807507744,1.030247161104956,1.181229641877614,1.2140939506863428,1.4071816264614907,1.5414315934899792,1.7437532970321927,1.8347161315576759,1.58892682490017,1.3690164490570844,1.197963534826827,1.0180940046133629,0.9719981997414429,0.8872598656303777,0.9764914443919546,0.8607859306540789,0.8729919458513387,1.012850971440076,0.9761868098213321,1.0321810600677437,0.9410398647442143,1.0656824137694856,1.0778244177347487,1.166200869282884,1.334986917757709,1.3094679955824007,1.3657441007252251,1.4538447988938326,1.7905528636902992,2.166742413546093,2.7945993286389745,1.9604542144790553,2.4449475408892636,2.923692438998028,2.453992103975453,2.9082386188651346,2.5587124283073477,2.0613561864750216,2.1268026498031634,1.7309743552425823,2.13520389788639,1.6654015786638414,1.644356405222088,2.6986311419109286,1.680978067199779,1.4561762573769215,1.3591595932799008,1.6231855455823527,1.4977656578047172,1.3656055142535126,1.3699490969392758,1.1886996760546469,1.2123331611570667,1.2800050292131315,1.3007806992862823,1.6491497695108674,1.307248145266275,1.6541999423449554,1.2047246996408474,1.4888279481067643,1.2537339026351624,1.2103628658713903,1.2032582965501475,1.2713578892266855,1.101051726358344,1.138197390614636,1.2158159786373812,1.217814315985238,1.1403549280104361,1.0770958718954746,1.104982523905442,1.0556336750525934,1.1398097974850125,1.0827889393495695,1.1284751614647912,1.2209403774588168,1.142804858653362,1.0196858191806304,0.9349772915401149,0.9893677188637817,0.9695798629659356,0.8455028016938686,0.7661534065186529,0.7532003309572193,0.8130420794838773,0.7738497461282671,0.8822253168372901,0.7919121671007986,1.0357694205325079,0.9933765175415494,1.0065333218580665,1.0640884778320054,0.9019169044681306,0.8581136074418195,0.7494933693493686,0.7578818608431237,0.6982949392759801,0.705867728467558,0.7650837145162076,0.7933043865149223,0.9043711171734976,1.0335376579787394,1.2180111193220557,1.0526244238649007,1.0486659355398193,0.8580975746255601,0.8129268499025957,0.7283226109333971,0.6673506690786869,0.691412321875542,0.6734836662229691,0.7517096307148361,0.8028868946221677,0.9498399373933974,0.967923692479554,1.0899290547290756,1.2235564462617419,1.1218354138860223,1.0806172850264049,1.0287617909849067,1.0223923508675286,0.9514454663708912,0.8699525993670878,0.981318568249081,1.1137955037994032,1.467556155191353,1.1060260292797586,0.977495188092828,1.0934910459080642,0.929646804800426,0.8546108782508145,0.8191158953911817,0.7524038048592392,0.7181420583386597,0.7108152739026782,0.6758301263993287,0.7696700367552214,1.1115339005203884,1.0574040626037882,0.7268887280853287,0.7251828271701145,0.7117205520718553,0.773637724648393,0.8157400123181374,0.8322159169948344,0.943763658582921,0.9733966420669452,1.078715587492314,1.2109055159832993,1.216624131302311,1.3576077938985454,1.6439109364630633,1.6329202785272994,1.231736023968859,1.155497022101197,1.0385779351618993,1.078625724092785,1.0371124037206159,0.9927433901117719,0.9478974840104172,0.9271404556621874,0.982846737607052,1.1223426729774872,1.0841085471637644,1.1021244666139423,0.9824748650858827,1.1606661918931056,1.2901584855827966,1.2424906887639344,1.3519121269994336,1.3220581632630064,1.8900244411930776,2.4281275176440174,2.2376590317933136,2.68095866672799,2.557994293066549,2.236694163271173,1.8056077628710079,1.571018899851937,1.4820005766123296,1.0823696348640925,1.0756785775693714,0.9745831317318487,0.8789753564078965,0.875312765303374,0.8020222397025001,0.774316585248223,0.75938827302626,0.7495392255989697,0.6777629580020917,0.7093659215464113,0.761551427548429,0.704404234877574,0.7083059037797816,0.7945404484283299,0.8083864338019724,0.7835634476257145,0.8963859112533132,1.0896185126875846,1.1563694905564053,1.0062198459363103,1.0456977983018518,0.8707572329678757,0.9025290823278032,1.1670238803626507,1.264635725061991,1.2883201687209347,1.2571771113626424,1.065904008079224,1.0477074875002654,0.9930957429150615,1.1855039839082968,1.2325596704280568,1.14188793027994,1.1206857982129201,1.3867505263655386,1.2166349532527678,1.170644869584121,1.556235845852642,1.5286280777639678,1.3046627362085996,1.3456376299218864,1.0283978690075408,1.0331448666347507,1.06102538260452,0.9324899999861413,1.0299607090803538,0.9899998214728003,1.0914042579241718,0.9332703672259257,0.9422228191728022,0.8395982114783317,0.8242742017991965,0.7184995254092638,0.6833619987112762,0.720499184467957,0.6779033479780889,0.7330669375993438,0.6786087476159455,0.8093245481965433,0.7880831664247415,0.8063608148436735,0.834118675438247,0.8397048395819084,0.8336911828790136,0.893616936461855,0.8710717256364963,0.8656221134381729,0.9240864573515422,0.9572525037126912,0.9121670267053543,0.8996668945490082,1.072184698648996,1.1299358284795429,0.9646678570960383,1.08368901280468,1.3074434112427362,1.369045271301146,1.3178122041000957,1.018425979111093,1.7091358552155953,1.4054239032267706,1.1260449456842017,1.0933763988923333,0.8993462495424939,0.8676011125152582,1.0673513107150536,0.8964218795285724,0.9412943736617003,0.7379364013530855,0.7651928126180005,0.7149266585332893,0.8199711849887062,0.6882536724995612,0.6447610747557518,0.6756572414594442,0.6190820581927771,0.7796400665858022,0.6021230137445435,0.5135466473809892,0.5149005680060675,0.5497636180066918,0.4397446567640736,0.5167139713189257,0.49483522655224504,0.7225620637613112,1.3498397767747303,1.5959565429442004],[0.556764614608018,0.5216551295529462,0.4963421455426608,0.3591507269344774,0.4327866985878539,0.4742619939924258,0.5283804571732631,0.5463505963240255,0.5737999929816341,0.6266839432906178,0.663567857567156,0.6697638786140998,0.7254411153313841,0.7491938011325346,0.8666939036123826,0.8124599140755818,0.9228239058616707,1.0184399205513617,1.1783169862034426,1.208748548110138,1.4181852759320366,1.5459428675864297,1.7697315673213396,1.8574834427333313,1.604068488257768,1.3853897455261805,1.1933216137256966,1.0046001832236398,0.9506078325728115,0.8584791347384599,0.9531783371760622,0.8266623729177869,0.843618373854234,0.9811906449530132,0.949068240513971,1.0149663652234158,0.9083487305666151,1.0518336374003876,1.0538228636050844,1.1430795265492069,1.3194227512242624,1.3012851572549509,1.363383300435216,1.4637086056197297,1.8136330767505433,2.2277753245872196,2.8538164285270846,1.9920901810890732,2.492669734645313,2.942009319956065,2.4861288459804527,2.932092894393517,2.583799827790557,2.090611839186919,2.093550584473398,1.7391716498021226,2.1690819769589007,1.6308214285410523,1.6318488050714282,2.705439399242717,1.7085444965410692,1.4670515571274867,1.354187522346884,1.62950298409746,1.5068827416785016,1.3700810646524684,1.3848034488427405,1.1848412173792373,1.2053662801498204,1.2743507477340257,1.2816247861886139,1.6041546845794585,1.2888217458319973,1.6071987017083065,1.1954439059671724,1.4913978668390768,1.245452206023919,1.1969456982593254,1.1928764950361816,1.258449592461452,1.0728074374941463,1.1056486082515615,1.2016255230145516,1.1640021923329233,1.105492590708693,1.0421547678418088,1.0772912855357033,1.029467752841362,1.122232798142842,1.0629832150919567,1.1115297509784363,1.2086898735449498,1.129135582283903,0.995701239679808,0.9086839909453045,0.9747167482772073,0.9475170923427552,0.8256749974480159,0.7414215697928362,0.7098976049537805,0.7620872643307616,0.7052923641771762,0.806514192170017,0.7200342371970155,0.9783497485382486,0.9099508702587998,0.9273911178771378,0.9810607573762801,0.8163209469153705,0.7731909021140696,0.6699154830570684,0.6852859163148097,0.6364489041469935,0.6577784884820601,0.7316539504910972,0.7706146537711526,0.8920902218399291,1.0394505157737877,1.2026064040089384,1.0435331119256712,1.0483580139855246,0.858010731669672,0.8204523310958383,0.7053206925891979,0.6354420823761641,0.6402331469859884,0.5794113348789897,0.6840643211730028,0.7239885587165832,0.8629667045375575,0.8899053227952598,0.9991591417376325,1.1396264502737512,1.0357628657503166,1.0123382674704111,0.9777279503890844,0.9610467086321816,0.9114662719624128,0.8372151407070394,0.9640421930676916,1.1302124640822526,1.4890986698446156,1.1048338531573647,0.9710133421023457,1.0768105735298072,0.9036428422736695,0.8255244302672367,0.7780249733006449,0.6963705192449794,0.662270233291164,0.639621280301802,0.6161312821510864,0.7170050571150925,1.128413098315509,1.0534579849322911,0.6689602730578239,0.6662557476772553,0.6400134922268399,0.7174617475602125,0.7428306814223689,0.7755113546263466,0.9011910802510777,0.9408768114610689,1.047525139986241,1.1701835898475017,1.1909533618523906,1.3085145583945275,1.599885527061152,1.585535510565825,1.2006200139029115,1.1050792850732425,0.9958910380520779,1.028708703315246,0.9844603414890839,0.9395628582000425,0.8871027969388084,0.8728846348830869,0.9209628106840805,1.0705072073774784,1.0162790675965152,1.0470979690475513,0.9048399083634193,1.0871832648752207,1.2237236350649165,1.182902839215545,1.3142269093665588,1.3072332922594143,1.8537069524697478,2.432029287375862,2.2001640926135595,2.638026452566453,2.497914799313166,2.1664011849597395,1.730639859177037,1.476309488315596,1.3939908252706574,1.0203793312177536,1.0088409059652228,0.9128494440592612,0.8049679579996677,0.8160091587446059,0.7176969046040331,0.6896031965699915,0.7093303309279211,0.7010758151401717,0.6142767907135178,0.6745578398361153,0.7449096582092118,0.6788782485004287,0.699935574537674,0.8053113274341345,0.8411107601046636,0.8116653836506859,0.9329707645871196,1.1429356805189317,1.1787779405541683,1.0893776591636735,1.1082539397332818,0.911281191804763,0.9523703367155377,1.2306528077692536,1.3212772472213896,1.3341825103561746,1.266161606899909,1.0738829614901806,1.0337843443395647,0.9453732062161461,1.1445874902699922,1.2258450592336534,1.1108680110455236,1.069787516163624,1.3583039019016971,1.2065402166418553,1.1364605194884614,1.5109513031908113,1.5455512932189535,1.3001395678917311,1.3098299068880517,0.9900033555558978,0.9565292543355054,0.9936767577310396,0.8575449310259882,0.9458751192972351,0.897737735644441,1.0015850946967821,0.8468084835662145,0.850442390529374,0.7360884605399123,0.7440214346659058,0.6408161504456393,0.6136954535424382,0.6582357360197656,0.6346184119575636,0.708960161657352,0.6761542050195429,0.8217424795022803,0.8079021827421556,0.8397430976511159,0.8484180550583205,0.8270977915738547,0.7807803133790568,0.8534421333163864,0.885349634718296,0.8572555028365313,0.9041681557213409,0.9725639488034604,0.9407224935012645,0.8986002450246757,1.0883390303046458,1.1925785770991548,0.9964367599117966,1.1130204134360882,1.3513118635914,1.4411021715986982,1.3704307825061106,1.0560380232210245,1.7111683069572494,1.405703594897256,1.2083403683526164,1.1269906173293982,0.9156627860700705,0.8755113163690422,1.0583093268769548,0.8882039684211679,0.9666454069741617,0.7175357133882988,0.7466739158703898,0.6610749278615988,0.7484640557182041,0.613641823342878,0.5669576495565053,0.5919711883681061,0.5452572819655186,0.7111939932061333,0.5343123724226279,0.47671576485998246,0.4473604210321843,0.4786140409686678,0.4016678117445874,0.4997815313308757,0.44886390030950923,0.6568946339173997,1.3104164839486092,1.5269073007895975],[0.5784943900810181,0.5439780618612546,0.5476897789993429,0.37482236859723334,0.4183160722674383,0.46458738027441693,0.5007324693514911,0.5081121700715122,0.5687785356290795,0.6005671563776633,0.6295261192560774,0.6376024074390456,0.6656852925810887,0.7116436825601331,0.8184526474255546,0.7478370755970637,0.8539700133653728,0.9341146308488306,1.0911209805352324,1.1032556655953292,1.307413645157041,1.4238303372175638,1.6400532796055494,1.737725678922503,1.5032803462883366,1.2936216843509263,1.0938469103941617,0.9184168824494243,0.8648200721535627,0.7761357661611779,0.8668185253500011,0.7396756870788185,0.7587136928337708,0.8763796266689334,0.839598594438358,0.9090191190671421,0.803514917716086,0.9412800236907204,0.9346768163815307,1.0073017044154353,1.2024997445505354,1.1825258936196805,1.2355312654353428,1.3411505658907419,1.7532485426854054,2.192393994399588,2.819009365186453,1.879430103058809,2.4416679949848272,2.862945727728862,2.393295950045661,2.8637417010323936,2.5518956009797256,2.1050036982321005,1.957344184838331,1.6158019048021106,2.1367638525313,1.4676347629850433,1.5181791125040405,2.5673617417969408,1.5959789381970326,1.3430116514267885,1.2220121836228373,1.4792840114861534,1.381372364675158,1.247841771508754,1.2760374033850908,1.078566234775426,1.107053413825117,1.198703477790756,1.1989515078346635,1.498516788004348,1.1834175936602522,1.4572672998556127,1.090742146698416,1.3987738668716831,1.1176116899196764,1.0645565624007756,1.0634438092941925,1.1259189646086947,0.9374198811420248,0.9591930684651501,1.1516404880857478,1.0202919219363902,0.983615778914515,0.9223066172022901,0.9465261196207431,0.9040923097121717,1.001419120648598,0.9475230814717592,0.9979860996219203,1.106760142898959,1.0330133257993777,0.9039124582485768,0.8323298438918528,0.9167725639879811,0.8899193654200865,0.7647983695349545,0.6871291303879112,0.6727205959660542,0.688992314646891,0.6182583804017343,0.6987256827667644,0.6245468667163907,0.8764681110708209,0.7886280716749855,0.8118377352594365,0.8686503748353389,0.7087350505725305,0.6821693560728628,0.5729074484108495,0.5954278228272628,0.5735221589084423,0.5865929227170967,0.6810159386589425,0.7198100130261575,0.8304658692308318,0.9951817352295557,1.1249105515684301,0.9670015576857215,0.9952230661242404,0.8241849976497106,0.8020496737209921,0.6734227804879296,0.6066458988734406,0.5740128166800785,0.4933594505539517,0.5940239453637487,0.6263935416457979,0.7547561428235041,0.7782431703443446,0.8636779926879289,1.0059766480516128,0.8934903529629884,0.8961769231139823,0.8985812603704296,0.8980243223080572,0.84855094541744,0.7872171733691163,0.913505383083611,1.1092651936237068,1.4462256375920248,1.031690095285385,0.89749290623793,0.9838811372709663,0.8111250446065588,0.7516725660296264,0.6980937501837818,0.6099682097255001,0.5907341513779543,0.5713089236134288,0.5768809272546829,0.6839331080654624,1.1635201046141035,1.0687853919223569,0.6173869002808144,0.6041165364005524,0.5607786579047087,0.6351550528292721,0.639025631706012,0.6636029375366703,0.7995015876699125,0.8449150175528503,0.9329950404015517,1.0442210669806755,1.0971762085204688,1.195358216520232,1.5097367562734172,1.5230796419860444,1.1527762654935123,1.0142726546865597,0.8985573992522499,0.9065648886403804,0.8629560493681919,0.814866943069056,0.7638006193749444,0.7668385906527675,0.7935259333249219,0.936391556599626,0.8716451776182748,0.9161373774894785,0.7765378799889039,0.9420551081379033,1.0689028213321277,1.0460619808353089,1.1771305816532722,1.1937896318023713,1.7255639515503627,2.3725303286395953,2.0651759617161765,2.5049259129659833,2.4025644248470925,2.052583783040791,1.6243109346759996,1.334397155199834,1.2574355741628238,0.8994993317933202,0.8831136222909685,0.8213838983323584,0.7027942066123195,0.7260270974318223,0.6202611329763147,0.5971774454650172,0.6542096830086922,0.6580435928302679,0.5875692004703184,0.683842974750193,0.7662349239329375,0.702824687421527,0.745928205196888,0.8656538795983636,0.9151460614097254,0.8840407232921467,1.0050617151477121,1.2103845283001442,1.2268890710987532,1.1605475724450214,1.168327856783061,0.9639581466203436,1.0036182250454788,1.259827946500382,1.3830043754783636,1.3461342204168525,1.3089773164052099,1.0586853678456518,0.9779007145441825,0.8715926285003616,1.0326108161029108,1.158436446041652,1.0251412522074785,0.9647118540571021,1.2675252101780876,1.1482908471577633,1.0349260470215036,1.3709128777754835,1.4690079467302628,1.2218160180100714,1.228018819901259,0.9092066611393497,0.8300061006634318,0.872831617801181,0.7595260889233594,0.8395800476484944,0.8027271240076751,0.8826373343539945,0.7385897496273602,0.7727394719699363,0.6335061328404461,0.6432492052995045,0.590821231523577,0.5953660461238709,0.6425151147590027,0.6505201607300427,0.7451724233649302,0.723606855192775,0.8695966601376157,0.8663066955909061,0.8987338208414443,0.8866690617898407,0.8340561992871017,0.7420160905520277,0.8052417520831487,0.889932926067079,0.855813116332936,0.871744125447538,0.9677989244455213,0.9597838201374076,0.8800418455504354,1.0429053510210522,1.1941899833522445,0.9958524252581816,1.0861108854608448,1.3138050860260393,1.459431137198914,1.3700228751440742,1.0686451632665932,1.6872369982838673,1.4325911278888483,1.2819413408547145,1.1751941228615332,0.9601212443684232,0.9215150594550494,1.083130855418595,0.913690060614474,0.9906899600789835,0.7090717850242592,0.7354368876527009,0.6179309401398405,0.6598868788056858,0.5447270719546508,0.5294308859282082,0.5289664768009376,0.5113561417291304,0.6560173852507469,0.4898540336807265,0.4861100500943176,0.43117010775401604,0.4470443480455612,0.4142748266820541,0.5417362788508381,0.4485442586038768,0.6217339224258408,1.2744992440434146,1.4948734182713448],[0.6804324598488558,0.6299054680307414,0.638016606749422,0.4393845257325837,0.4842992078131866,0.5082954344425866,0.5039119250673093,0.5091873842968538,0.5795271609141947,0.5807441612751665,0.6052908603392637,0.6130347333234044,0.6226427837693039,0.6934712224269354,0.7974449020355044,0.7171654059511777,0.8208700048278146,0.9143358508880304,1.0865736163604467,1.092202402569112,1.312490162509563,1.430723826473427,1.6692941343552987,1.770796104817408,1.5156268201282388,1.2947590679651395,1.0782531910483322,0.8947541486153031,0.8346120190733651,0.7347119305608757,0.8421398216155062,0.7008625212186038,0.7186476064145969,0.8458771663933545,0.8038261659989182,0.8789315801882983,0.7581536171804686,0.9109490814984523,0.9038505208938424,0.9858846853595853,1.1990545424843846,1.175834496133065,1.2321269803699502,1.3359809399672233,1.7325687392504012,2.1444115902313,2.783300716729603,1.870183382217654,2.369163576717895,2.8456352069950435,2.3665268240717414,2.8317126587290424,2.530824132981524,2.0749566045238685,2.0035722429844975,1.6250425073311485,2.11974991628152,1.4929337512336271,1.5467948877004984,2.5931925901473445,1.6008965287190018,1.3527689503828773,1.2251807602645763,1.497672129921883,1.399131357456338,1.248652586582413,1.2849676555528928,1.0712882560005943,1.113802974037344,1.1922322379138452,1.2047324039740424,1.516971869401618,1.1946559842578184,1.4803073901799206,1.0889294962901912,1.4022212530754368,1.1124605707041693,1.0510688300696664,1.0450687247680275,1.1145889675772274,0.9087613333604768,0.941801800427904,1.11467206757739,1.0009874636180487,0.9419053737422715,0.8848834931558517,0.9218803283963853,0.8689994977644825,0.9747150162304282,0.9186204528006504,0.9788958289615957,1.1017316287447665,1.0177966134343166,0.8771425652397816,0.8027450570383858,0.8877702760599473,0.8641390732925588,0.7302648172505465,0.647763148870685,0.641400306942357,0.6495758133176383,0.5896307266998273,0.6542950462350524,0.6112328543284763,0.8816268684932049,0.7975685387411612,0.8523385387433369,0.9153570709504375,0.755076571389279,0.7031773073382169,0.6029367176916924,0.5865302937762883,0.5512340003527512,0.5569039504824969,0.6352012726823538,0.677959198655839,0.8069964418400768,0.9778502284754609,1.1339016936953137,0.9532887837190561,0.9801464405970267,0.8046829516032294,0.7821241521553334,0.6396752993324041,0.5769882264185666,0.547192064613075,0.5080845511226122,0.6037508178357127,0.6610165045840564,0.763271987617237,0.8284055361877798,0.9230625304365747,1.027167101370646,0.9138878496713333,0.9008379133784433,0.8975151586000686,0.9088926134399252,0.8329120501494511,0.7576662137708989,0.8479841410874289,1.0619830334787883,1.411626175006784,1.0151660255771244,0.8643759878189035,0.9507566106146028,0.7729257149299854,0.710386694304296,0.6509247186722288,0.5689978172980437,0.5504926066743172,0.5625426623193526,0.5717442820463201,0.6892309252144145,1.1468621854373025,1.0351559397106207,0.5890010966572632,0.5648053951404077,0.5346533056893499,0.5940884879040403,0.6070235075040074,0.6289772887478845,0.7574841551399607,0.8088201762192615,0.8999919093484904,1.0117477710592555,1.0710481718267153,1.1625355781595992,1.467859001942738,1.4949372794406703,1.1038630810208983,0.9935933963026072,0.8739068793126481,0.8813214841503918,0.8367191098837358,0.7831712203609943,0.7349356667585457,0.7288726274667809,0.7555973002917534,0.9054877345930931,0.8491260110540522,0.8888490132857177,0.7619659578361071,0.9428224422196808,1.062942148676713,1.0276978915895005,1.1405636495253928,1.1602374304504748,1.742116060731099,2.3554917028547484,2.038341010817236,2.449266035499767,2.2956681225731708,1.9921134533386091,1.5950489638820315,1.3453117994877908,1.301189395948127,0.9611222046704287,0.9734715559702086,0.9360378663658033,0.7890987520600158,0.866740183295871,0.7463845442149498,0.7021653446233306,0.8022546295332396,0.8179103375482122,0.7254765930996422,0.810096667346333,0.9068297952314309,0.8510333789343789,0.8640843240675035,0.9856508022502395,1.0494078543007201,0.9974942541883728,1.1137970431426993,1.3269910410690324,1.3435293880113266,1.2967020895283345,1.3147374353659536,1.1267556445783091,1.1802130547863987,1.46310872319948,1.5669921272818637,1.5385470888067696,1.458385766518743,1.2421727693954472,1.1820947922309433,1.0550747871646349,1.2558426022703415,1.382529566015072,1.220107153881423,1.1417194288945471,1.4293813221302318,1.3267101264923817,1.2128836030930132,1.540867118594515,1.6742022426211838,1.3993134739556257,1.3458511109270062,1.0574135178902682,0.9366844458923872,0.992644261617288,0.912773104663657,0.9386120511188122,0.930588224788519,0.975230685200445,0.8551473107962508,0.8885867865873021,0.743314884527548,0.7471823145539279,0.7297402910496348,0.7217188646532483,0.7481255092642907,0.7691033414557934,0.8887078027166683,0.8593084393447151,0.9664486042302036,0.9907870350585595,1.0495952893283214,1.0388486633956433,1.0077740704908487,0.9092140075674213,0.9848841267708129,1.0842324931100737,1.0238915292929227,1.0471165701651204,1.1620645234262474,1.137778239021256,1.0548153333450818,1.2416015842550867,1.3760484536420838,1.1791306535133712,1.2683675999688533,1.5408421864873807,1.6439063044111621,1.5392908324146137,1.2389557120967873,1.807411781291191,1.4789195577833019,1.410116040906927,1.2646228352714928,1.0693528601889284,1.0112508095164736,1.1407374974881008,1.0122962301766723,1.1117181126742584,0.8599769500972885,0.8839342426100794,0.7278113626095176,0.7577818669406033,0.6107655758760883,0.627214972748857,0.6168501597175138,0.6123880816210008,0.6878560467619275,0.5564150840217992,0.5730196628597505,0.5114088391244181,0.49233879963938965,0.4974697974640374,0.6318801757746169,0.5022227021509089,0.6459560606187397,1.1945826803000636,1.4175900973665283],[0.614903269645875,0.5670826827806884,0.5425535528905511,0.35132005116791626,0.4359773825261209,0.47198591832023773,0.49662166899056187,0.5077922916744922,0.521256088983098,0.5285390868988149,0.5530353909805453,0.580165273179221,0.6229749790881584,0.6492600625471526,0.7540266476035261,0.7055517277232083,0.8178081680033353,0.9163741143836345,1.0896281591812607,1.117477548948576,1.3252920046455006,1.4545914489914114,1.6855470794298337,1.7875231043955067,1.5406419117017658,1.3022856732880363,1.1125070156820493,0.9169465555087162,0.8564292342106666,0.7511188827210042,0.8407851181800245,0.719064751054315,0.7308717484191325,0.8695966458277973,0.8334702526460298,0.9057781456201536,0.8073947045894232,0.9588554682174005,0.9641601864584157,1.0613584312181454,1.2619652408403415,1.2193159107650444,1.2835002375551947,1.387271918782928,1.7595632778530261,2.1202496435421914,2.7675425193774728,1.9110005204685665,2.337112305190334,2.8734717226296422,2.3866559011362503,2.8187848560711997,2.5174914193471287,2.048607982521918,2.130754550458104,1.679485665148399,2.0946144687714225,1.6081361927737472,1.6177799446275256,2.63284880210021,1.6057842402500042,1.3816317437038135,1.264671596668244,1.5389764379312725,1.4353860482605276,1.2750622159325902,1.298402535911084,1.079983963455746,1.1136081872693868,1.1857171160458726,1.2233678666717838,1.5319236591720726,1.1975162045987837,1.5299699420249657,1.0924370189944044,1.3860573390267639,1.1402823459375058,1.0846269466998333,1.0889436562562502,1.1708165602695917,0.9805241837465584,1.021573941465152,1.14072816215952,1.0982320321875545,1.014186659895765,0.9549178881934755,0.9856454809637876,0.9383071718727312,1.0100109036203613,0.9456913375036228,0.9955480425339243,1.0999774518583114,1.0197213804723324,0.8678715968963059,0.7864098449506575,0.8597511117190868,0.8312671545905115,0.707674074370531,0.6318301492820697,0.6413044732760491,0.6624868042794144,0.6362815538618979,0.7128710355073978,0.6820594176981001,0.9535394226965749,0.8853516461658512,0.9275211580303436,1.0003245842258426,0.8108360466750477,0.7500295927766705,0.6431964691782869,0.6339265165151455,0.5623836295679551,0.5719747895249596,0.6419422703175192,0.6796789845452207,0.8103213039744002,0.9624082557624486,1.1409325706325504,0.9490154856138304,0.9605751624558209,0.7698013576860917,0.7419318583595735,0.6163384554666069,0.5414799564274364,0.5427904241885508,0.5430120055917124,0.6394842266612398,0.7036797222551738,0.8384699325023043,0.8961451602850985,1.0200301768556896,1.1228230769909977,1.0162821042499863,0.9774753501402094,0.9414746172004622,0.9360126186758954,0.8587505513945151,0.7837690972265169,0.8471811320396345,1.0316015714619173,1.3924796848697707,1.030648270808201,0.8922261235455473,1.0038930640358525,0.8199175355314948,0.7420745848426491,0.6901699043690077,0.6101395741168323,0.5673546724149181,0.5845178994763484,0.5417493309309874,0.6660051866480636,1.065698638902779,1.0101221612789248,0.6011289319462751,0.5832760200600401,0.5818534275600676,0.6316695886873746,0.6733248023288732,0.6951392580232495,0.8101301701609305,0.8514159857173615,0.9592205246795031,1.0847830011765234,1.112269075717042,1.2241897036321197,1.5140397622338073,1.527448759405711,1.1147588341522279,1.046976631178503,0.9258129971601471,0.9535552161865968,0.911761122156308,0.8589011343969389,0.8133071472422908,0.7884555937551602,0.8448160703784117,0.9932574422834983,0.9481836035222136,0.9773488166658786,0.8502709969006752,1.045657036252111,1.171369598003087,1.1188289209114648,1.2157290411090158,1.2109204329050354,1.8192717095217568,2.356742328045435,2.1014344719243874,2.496428968122332,2.314201121034809,2.0414788592774844,1.6490975077076457,1.442216214476471,1.4031149515207868,1.0377530037656724,1.046139804433595,0.9869738860564699,0.8473351547278011,0.9136799072216085,0.7932757245169471,0.7453669862523064,0.8145630941328174,0.8157829454883185,0.7089622990229876,0.7707253303253327,0.8516019191575073,0.7919179973267603,0.7852489143191625,0.9014435918784012,0.945498133280179,0.8856551160346493,1.0053481990233282,1.2144551695297106,1.255382712920729,1.165234771032739,1.2092578596831955,1.0405365909504438,1.0854978306543834,1.3634593703788236,1.436532560753143,1.4686457476303578,1.3760959139246574,1.2274011108150815,1.1938375190382562,1.0820665932447142,1.2988715913859903,1.3801371159549076,1.2569180438186955,1.182944315615208,1.47850561814546,1.3429677604378836,1.2569205599252264,1.6353078685094091,1.682933182703425,1.4223058641057127,1.3923597959813847,1.0927248475724862,1.018621009699502,1.0754559129182844,0.9631022507394688,1.0012550812730123,0.9888860781110351,1.051357264762231,0.9060210608814762,0.9185385856931735,0.7874113960320869,0.7924901365013465,0.7314027673283274,0.7021459381009236,0.7140598824705223,0.7148159309726844,0.8222900208564532,0.7765300048480299,0.8991999581578181,0.9035600799941197,0.9533889970478571,0.9669183459710323,0.9649612998944835,0.9029409908036556,0.9791786181502516,1.0326157070194064,0.9827374222234124,1.0367795173466408,1.119326776266643,1.0783784462149362,1.0273905780192287,1.2279733662078003,1.325430277558429,1.1191497800930619,1.2400496401390881,1.5008383649895696,1.5553850043202704,1.4799326331309124,1.163105956516809,1.794295320403295,1.4359021411522352,1.2816000194596433,1.1886856634511644,0.9971292101604943,0.9437286878873463,1.1060864736351128,0.9606188008724292,1.0468087798352166,0.8249012704754833,0.852196223862442,0.7258655454202391,0.7969137079307473,0.637344973617632,0.621221635602559,0.6307079732984281,0.5989177042329146,0.7057880214323862,0.5466800076947239,0.5085796279247446,0.46492811943805484,0.4816253892091331,0.4012954020255417,0.4936643919074665,0.42695563364325584,0.6215414808189972,1.1895858294473718,1.4569477424777726],[0.5882075545043934,0.5533481315334614,0.5129456107275636,0.34111952198185724,0.42288889279626596,0.48119108021541745,0.49850329437442875,0.5069462464524663,0.5132914704212745,0.4871192023930818,0.49895377793125306,0.5471887865039026,0.5647970079913598,0.5743803042864852,0.6621487730453889,0.6214858771102137,0.7206441656062478,0.7963369662366407,0.9561431127743925,0.9695195128410111,1.142101870840269,1.2708503622488676,1.4737291719178958,1.5918672366007178,1.374746514224051,1.1381029322153986,0.9665959284687399,0.8074902461591629,0.7512347530494894,0.6549832617593434,0.7205078940341562,0.6271113523644076,0.6325666955348638,0.7547883032661952,0.71503989617296,0.7814598742414087,0.6962472839232361,0.8248889161090971,0.8216412923750234,0.9049505655973615,1.1243105290354325,1.0509894348692292,1.0937099387644411,1.1996734593157032,1.6339631826098548,1.994341216612119,2.631007632342697,1.7117807092498267,2.1885349644433503,2.7478153046279643,2.193518064421553,2.6705907761171805,2.434634820907761,2.0213746199585327,1.9906253659835034,1.4997286209362966,1.9961137106056608,1.427203587214526,1.51500352047833,2.420393188374399,1.3983195418482695,1.1728620347946164,1.0732308872671004,1.3017904093902926,1.2344836388297689,1.0896877355117631,1.0993273129194128,0.9181621662800656,0.9706478456890484,1.0768915731295314,1.1250002254714726,1.4250359817447826,1.0569904687743175,1.3888050380475048,0.9403991132062091,1.2305182769302359,0.9674579284835377,0.912406272009431,0.9262200127581691,1.0057854759539524,0.8272412782210364,0.8676774155835205,1.0729848250404637,0.9699677902282319,0.8913725445664563,0.8310727002952513,0.8365532339114764,0.8152049100594202,0.8611974697622464,0.8043012317837752,0.8445937781741895,0.9418962113374586,0.8753820181072636,0.7360919839312047,0.6790574760791995,0.7513431892357822,0.747821155168362,0.6237128632387923,0.5697634114230429,0.6209325027260927,0.5901736032527747,0.5963300559543525,0.6354948428788968,0.6331254605631363,0.8986525649953104,0.8173591705324693,0.8651845191514276,0.9231208314577175,0.7557484932328798,0.7080119330307941,0.6116622070232975,0.5897103168597273,0.5401335802044336,0.5321708576730381,0.5848236816422766,0.6144886923293854,0.7372172893676388,0.8895652911177551,1.0259832569985774,0.8336063039675404,0.8629523875998996,0.6806725638340351,0.6721279417477288,0.5619760494984154,0.5063465318341905,0.5090823527535654,0.5229810379462108,0.6034890501770531,0.6615510720648913,0.7719444133758728,0.8200219418394322,0.9117995041876171,1.0140027817640354,0.9103732295366416,0.8901262899094828,0.8919697568297431,0.8881319938649606,0.8150261181374032,0.7408293809116033,0.7709289882213137,0.9552974654088913,1.2775899691104393,0.9231242069024589,0.7984198160586182,0.8880280566194094,0.7204255243627266,0.6651265815631909,0.6217479561199502,0.5513923444946309,0.5306468306396639,0.5651549379908684,0.5322595607496817,0.6571532825497045,1.0762477292272148,1.0111526366006443,0.5800439742683171,0.5510467753676255,0.5476408934506444,0.5681880833573887,0.6179254662483307,0.6197672081846748,0.7230250194402833,0.7635160686468038,0.8456587923466091,0.9496439573477519,1.0174155133429605,1.1035505077202958,1.3932700575422423,1.4677205588420286,1.0662856038180928,0.9693633473415119,0.8478317454752382,0.8519453266866043,0.8153557606092628,0.7615881817389015,0.7212766507375372,0.6998249008931331,0.7356552509534083,0.882816161332277,0.8380979628893481,0.86578653805673,0.7626858293939689,0.9256374080092554,1.030620396847101,0.9910076017043977,1.0698883364021143,1.0854490179822642,1.660159935218499,2.2825049190548703,1.9327198489118451,2.3377562541222705,2.216028545250026,1.9546517401203514,1.578076889953773,1.327106014816899,1.2739948931860055,0.9390621947199921,0.9367260305597536,0.8833924586355949,0.7679268500132643,0.808956060704894,0.710553033202634,0.6798929250805197,0.7255658031449358,0.7250800431778112,0.6480391619560341,0.7115450195733929,0.778562301678386,0.7227449851906161,0.7379234381349515,0.8415656270300965,0.8740447895224899,0.834874700460343,0.9511323728844334,1.1448551491819787,1.1945423296025257,1.064359488517016,1.0973011946725617,0.9281506431031115,0.9603778638220437,1.2246258669397734,1.318195850037621,1.3318415035584306,1.288061441212899,1.085098958449518,1.035947292066606,0.9481856388095912,1.1281808044805033,1.2121290787434995,1.101839410798919,1.041728397883247,1.3167855399517745,1.189377449954861,1.1028885718428925,1.4342559241720712,1.4951126491664133,1.2726195117661228,1.2718740821796368,0.9735653070953362,0.9026945548104922,0.9448401381737783,0.842666402329404,0.907747935943886,0.8896186682069445,0.9721576565661343,0.8219184691357054,0.8420739546962197,0.7168019521413155,0.7267835591333925,0.6619111641444608,0.6443711065509982,0.6758746639809452,0.6687757478760122,0.7544775277651986,0.7183251907544451,0.8622442694718994,0.8384949179737987,0.8659856759339367,0.8747866169205272,0.8624291226023446,0.8061215751698169,0.8587644603838637,0.9041048799447929,0.8832742619959036,0.9142848033775305,0.9779518448900808,0.9507431243362999,0.9046027274036136,1.07101049073267,1.173649267999733,0.9887446455736023,1.1023498542263968,1.3089421112810418,1.408883543471241,1.3479758902116976,1.0478817300963397,1.679230172714285,1.3984440789081765,1.1650220361300152,1.1245860190334231,0.9311813458701529,0.9014679822342344,1.0795276223178962,0.9120282131277546,0.9754722196349025,0.7402428423374552,0.7687669708915088,0.6750276888392589,0.7322755949155114,0.5973905755129838,0.5904664914298959,0.5959180880941902,0.5676957620566321,0.6922713269635765,0.5351763104313477,0.48926403413833935,0.4573053027528826,0.48463887722894217,0.40055068504945396,0.49157546444778216,0.4341731251457157,0.6085116880626489,1.1802329293193652,1.4449342823992306],[0.6543483473983277,0.5995574096324524,0.6081239488673617,0.3916040077479428,0.46696789090416624,0.49489128697313456,0.4820958303995986,0.4835265686131068,0.5261374119455484,0.4987810465837255,0.5138237142206696,0.5395154386482909,0.5383663680961461,0.5856892896222188,0.6675552788257848,0.602413661141455,0.6980413091875826,0.7818847929644992,0.9525616226418355,0.950715044692775,1.1400234842070307,1.2581273341843267,1.485085344525616,1.5987621743948328,1.3771901737143475,1.1446342895951538,0.9459852888111268,0.7838947484344053,0.7219641761666666,0.613941313780851,0.6957561651529471,0.5886860426218848,0.5975333097306917,0.7194064934306046,0.6719087857645993,0.7449437029382887,0.6358805089710873,0.7702715835350998,0.7674388382332272,0.8499366183792016,1.0844851132334334,1.0178650911326879,1.0492228183961012,1.1527532945770456,1.6179612357023012,2.0041671568313966,2.6376263235832256,1.699697048563425,2.1918854621950756,2.754850644320008,2.188475757577087,2.6614345493152634,2.426610627396662,2.02847141561856,1.9282904276086004,1.463237911805652,2.0079826387910673,1.3689690129164398,1.4987909981197824,2.3925898136252934,1.3898781978215209,1.1514649557691916,1.036913627107477,1.280671653859492,1.210175041480791,1.0688623107104849,1.0919596943525254,0.904908867044537,0.9645537226293809,1.082056365107496,1.1096112526936237,1.4136326844307727,1.0529274252590017,1.3339258901517022,0.9323463473283219,1.2348405690361801,0.9397865234114331,0.8729205351719208,0.8808340218364965,0.9567561719532669,0.7663550862589588,0.8068460561545031,1.0633256719785615,0.8947794256979517,0.8167026320861864,0.7667653478316849,0.777503286183541,0.7559782213643407,0.8221853837681522,0.7674954941879301,0.8224457546875578,0.9365641359374942,0.8504413350690878,0.7142416446106408,0.6667786675992633,0.7499446588370653,0.7491339000645985,0.6026921864433809,0.5445994708829481,0.6221606939707782,0.5524720141351475,0.5610807582057266,0.5805305758640912,0.5947889054093172,0.8636596701552185,0.7518118673813523,0.821702610900715,0.8691270254659117,0.7239843768602405,0.6733037377826363,0.5784641416600289,0.5308241808202172,0.5059250624848156,0.5047166682625862,0.5542429101860588,0.5975195318648513,0.7312583239833028,0.9041361615749554,1.0143543656776322,0.8308882360355835,0.8692283119102032,0.6875660866542809,0.6904633652478747,0.5566722744569325,0.4883405646652607,0.47801671531398204,0.47817085592987074,0.5720059881250172,0.6350252240757133,0.7183042674703227,0.7871165095382172,0.8662853476528178,0.9488592085832522,0.851841430071633,0.8354343218088265,0.8483093647162593,0.8442193455505466,0.7731446135574612,0.7097521174862571,0.728809344766465,0.9558639780591883,1.2766515436866501,0.9032401638345082,0.7752759937345335,0.8516742346032485,0.6752919503824819,0.6252372236437922,0.5726592188317797,0.5023600880449643,0.48466313724155535,0.5408714286258534,0.5078309972877488,0.6460003913396418,1.1045596217680544,1.0417012821284624,0.5671445999026461,0.5228505896039499,0.5023393670256562,0.5325404871435926,0.5675952375096798,0.5629356613167423,0.6715425978514001,0.7146185973515178,0.7875889883457765,0.891329071806017,0.9786162772728119,1.0475991540327347,1.3422858057533218,1.4196118709936025,1.0269646880182257,0.9178444925726141,0.7950508289633145,0.7916924174629161,0.7530339254843592,0.6973361301048864,0.6592202990090958,0.6480609078657891,0.6624189591529163,0.8114592301011178,0.7661831418655195,0.7982046551641481,0.7046361623751919,0.8667538094219558,0.965766774551312,0.9306335397349899,1.0161128372913746,1.0526744463791813,1.6243425117361878,2.2887254738311267,1.8772674989652778,2.2537863411284045,2.103298040069586,1.8489461425809284,1.4949608894334698,1.2444401615523486,1.2168008466440738,0.9337141540717238,0.9416139019147374,0.9143738686891275,0.7731117243093586,0.8487641732747012,0.7381609304921751,0.6925985695914584,0.7869797157289533,0.8025827651001656,0.7163719705241016,0.7917963000080279,0.880960406066726,0.8323887358313464,0.8365251056101614,0.9511227677086932,1.0123628456946443,0.9586020642429153,1.0706759075128147,1.2777264258409273,1.2948758328431387,1.2403869857263117,1.2570187024299841,1.0848131005161714,1.1352077513935932,1.4138631404413722,1.5076873248399156,1.4929129211272814,1.4168343534881862,1.2175919514067164,1.1506804146002882,1.0325165290653089,1.2223064655692144,1.3415401668125229,1.187160776012926,1.1150525262094992,1.390724336168501,1.2915354300313617,1.1807839801423592,1.4796858203307754,1.6330437404740343,1.3621571976472624,1.314826225781722,1.0301906223642174,0.9091260653345792,0.9641852553929131,0.8911585766774631,0.9227842317663734,0.9133496378889766,0.958751453470854,0.8465121469209668,0.8876896144916145,0.7436344995484757,0.7534444034131712,0.7222984080067638,0.7177547691062951,0.7360608264783788,0.762583719004076,0.8779735547482154,0.8461372274295365,0.960700539491144,0.9667668394274779,1.0236114618846064,1.017061717987323,0.9943838597931395,0.8963567510089706,0.9668290883622882,1.057001479950358,1.0004485985887859,1.0283024759602433,1.1296476652702137,1.1064862105892503,1.0276916240555076,1.2050103725994334,1.339480221470515,1.14051073371117,1.2416463248100327,1.4783237393606266,1.5819290321142503,1.4877232113984256,1.1857254695842534,1.7482246378794029,1.4394739957834006,1.343072488024793,1.2203288300945747,1.0335026695292095,0.9833208929956903,1.1123431315025556,0.9782383149531162,1.071775133670773,0.8237757604232733,0.8642659462294728,0.7241835353864781,0.74424659314669,0.6020554048554997,0.6210031141778304,0.6150171922020132,0.6178427425301134,0.6782400547941423,0.5456231681825996,0.566680627325299,0.5000589860418893,0.49043219773522695,0.4682539287923406,0.5745714584910396,0.4819940886866468,0.6101346149599317,1.0958547075425167,1.3763847727467522],[0.7381709561674088,0.6713029943490334,0.6526641227309903,0.430633776740259,0.5283577401642816,0.5480307880916476,0.5144671327394046,0.5294526371868762,0.5150417243474493,0.46204904672377906,0.4611667638009364,0.5305458692057912,0.5291185293784152,0.5513558152999988,0.6341579487269924,0.5906315421086078,0.6902115153833978,0.7765030158440521,0.9471968378866078,0.9613064557436597,1.144277114679089,1.276491122006147,1.4936311104808206,1.6197478011118684,1.392264832563121,1.1412980645754358,0.9665078329833975,0.8026620080780182,0.7404983537928372,0.6278853748699429,0.6894175680385671,0.600161239546379,0.6005336913316961,0.7229101349048122,0.6838618711140434,0.7588764173192868,0.6749305001874073,0.8170071356546673,0.8236865246318281,0.9310290426733855,1.159920325173868,1.0654694907370865,1.1168871546809445,1.24079529098435,1.6665125744457874,2.0094836542898062,2.6435097075686036,1.752311105270925,2.145749211062447,2.773631249841147,2.1762938141090804,2.6282608646256076,2.411658191938558,1.9976364886272822,2.0766483922850223,1.5275387595941357,1.9719946240310096,1.471492366179714,1.5793414536559462,2.438609040116873,1.3998165686004762,1.1857610257039966,1.0753884284185034,1.309755396611426,1.2612445562869794,1.0903501916699894,1.1002662677816653,0.904726141387311,0.9666400901844043,1.0667941762629944,1.1152662130107542,1.415353960718479,1.0453004216623825,1.3852872161607563,0.9285401656812511,1.226761380913113,0.9595328096737846,0.8949642821317111,0.9105645014690646,1.0109348483528324,0.8257599719718617,0.8864021628914077,1.0747955971751726,0.9835470302845449,0.8824997862024947,0.8275977707287393,0.8341131360783595,0.8002059876990992,0.8377097009434102,0.7712896954649779,0.8186033089850677,0.919174836239969,0.8401948736159204,0.6895861161676112,0.6358259014245787,0.7061915595942976,0.7042568176746536,0.583644463846101,0.5358431259177768,0.629002637531604,0.580671578672633,0.617253224441617,0.6353979564446055,0.6729142553574089,0.9535405534136029,0.8575285050174302,0.9236520271985118,0.9910183007056497,0.8266588177766208,0.7561987052498206,0.6650149557285698,0.6053480917707056,0.5385530783134482,0.5391239381394782,0.5547692447891428,0.5953992215342366,0.7364827754908483,0.8874793607106233,1.0374878661339921,0.8222567406519463,0.8486494909734843,0.6590141904785707,0.6598928928117364,0.5284591490856809,0.4684960889109729,0.49653598878816996,0.5516083811184194,0.6368483804649689,0.7175246521366053,0.8177753641530437,0.8949908157747841,1.0035989601309079,1.0535348400199016,0.9615245786562063,0.9181983192313671,0.8940373085483289,0.8923539307526965,0.8005000343511922,0.7326502557792407,0.725378756179762,0.9428380023303835,1.2731215810826744,0.9292122387476567,0.8034605088940028,0.888518883569958,0.7231932414856509,0.6646341665680081,0.6087753555331494,0.5502822615246779,0.5121044782551636,0.5842706423323261,0.536087141427876,0.6807711281860678,1.0955327223050861,1.0129971073107682,0.5828336357884147,0.5409095509938998,0.5721655965442239,0.5681679639534046,0.6330974462556263,0.6334913768953572,0.7170486636714902,0.75865481996128,0.8453525273693626,0.9560745903972865,1.037381824779534,1.0931925991571514,1.3651506355596186,1.4250970730999972,1.0284774884825887,0.9667533445001479,0.8463521403345838,0.8616075194593823,0.8261340009743374,0.7704037145955424,0.7344141676914361,0.6943246440110586,0.749841960600148,0.8788763134278699,0.8611660466080356,0.8843933819029457,0.7942232691913592,0.9781021756252429,1.071852130219202,1.0129045243921277,1.0716516142465422,1.096319540676605,1.7063823627491184,2.2728240856717834,1.9084385812031794,2.233976627249544,2.0289776115628992,1.8428178965185724,1.5237287454839603,1.3410895639825018,1.3411261064445663,1.0636599133152573,1.081388365260921,1.0482986834563202,0.9005160347595779,1.0012483169964614,0.8813604681325145,0.8197005585431454,0.9156355104133271,0.9344439855962186,0.8276288870316885,0.8807847434527681,0.9742722791579561,0.9286801631267947,0.906365529000416,1.0130494357967885,1.0692127574522892,1.0001327916522675,1.102872116471314,1.3043484367704163,1.3331928112096882,1.2779146671998793,1.3103586909389984,1.1653305845829225,1.2211588012277657,1.4965535459412627,1.5887722738058654,1.5785554319465722,1.4789713443005108,1.348030037498483,1.3165248738391904,1.1935893284640646,1.4098792687134822,1.503339767893181,1.357950821158518,1.2670383895102812,1.5382438147605992,1.4290249328617473,1.3391694102224088,1.6856544436447654,1.789686378915071,1.4952846320673523,1.4380810737800365,1.1730372964120535,1.0641740681271687,1.1305610656125742,1.0615882782874346,1.062905597784963,1.069103141323348,1.0944498925413195,0.9838141276709815,1.011306645121009,0.8815184381421193,0.8830995423884995,0.8523242632789647,0.8366577006105004,0.8401373390462997,0.8483407526244445,0.9630695490292461,0.9257051793942606,1.0240460278939774,1.0321786869039264,1.0954635760228817,1.1038963752291926,1.109975168028517,1.0363303419175467,1.1032728860470788,1.175518573649322,1.1116207285812485,1.1620885441390643,1.2504678841040262,1.2075506780754006,1.1480428258860513,1.3384186209803812,1.4436363593339032,1.2381132801735604,1.3538378028847569,1.613656314960289,1.664325229687666,1.58142179028084,1.2604200285640277,1.8488712048815876,1.4623750865275404,1.3638877193584342,1.260053567031712,1.092172833674309,1.0383291620727566,1.1679270284451488,1.0408990841907257,1.1262129284557003,0.9177654142743258,0.9462741244713851,0.8176911305406938,0.8577816595335517,0.6936686867320618,0.7103491000438745,0.7148018908916006,0.7195382392727333,0.7595995065329727,0.627586312386073,0.6458323863338765,0.5845331692869008,0.5609949498980964,0.5256527882342888,0.6154026690558011,0.522878337047724,0.6462389101323538,1.0692899022071765,1.4317948951275594],[0.7399190555738765,0.6779210778174096,0.642633018443004,0.45301279773854963,0.5616618760098362,0.5852266437311247,0.5739241897498315,0.5937581824575415,0.5618539366367127,0.5026374273389079,0.49893645558304006,0.5820813411540582,0.5784165957773107,0.5720083129198468,0.6468329388411711,0.6234760159245406,0.7103610118248489,0.7948835854713758,0.948816746451033,0.9698259140814356,1.136224717095049,1.2689182499421052,1.4694328539876518,1.5998073847871377,1.3886599711410836,1.1319738761885423,0.9763188120037843,0.8307326422819846,0.7722208404211409,0.6610765288364321,0.7164170893423284,0.6375175462980904,0.6385674100912968,0.7516020839674429,0.7164978287051031,0.784440703861994,0.7164686670967579,0.8458972856524287,0.8507139134725517,0.9530920006660891,1.181448729858165,1.0764000420046067,1.1231584325248303,1.2429403282230336,1.6762206849097914,2.0079752190448903,2.609679371549624,1.7341732100451612,2.1151765134711082,2.771831038540749,2.120408283386128,2.5721673551052353,2.3765712245814266,1.9787000835866373,2.0963781686150904,1.5102922186681114,1.9368399143076078,1.4957140349002078,1.621589422418951,2.3905326794822264,1.3612412720016134,1.172751982140034,1.077988259265712,1.2918596843078718,1.255055099680967,1.0846134442445825,1.0827371647265647,0.9066841962730324,0.966786078170869,1.0662312781141356,1.128792192334027,1.4203159544072346,1.0443698110012338,1.4024348277483107,0.9302348407503402,1.215863149373349,0.9690585436722974,0.9101764480531981,0.9252360724730173,1.0265825044563124,0.852867378998444,0.9124044713779429,1.0892264203233009,1.007939762357678,0.898943232355157,0.8567488394813221,0.8587207414599942,0.8272323769138308,0.8564181624467304,0.7906790899557544,0.8312204876882227,0.922284257974794,0.8552068892432868,0.709436700940489,0.6583390451737727,0.71269886887007,0.7221188692414068,0.6191008253765277,0.5816596423448948,0.6772858452215517,0.629631853643714,0.6702585580945015,0.6814823835205482,0.7139632466447698,0.9889156944601535,0.8953266603693222,0.9520210354978774,1.0129377668004513,0.8514859987403554,0.7921227514300985,0.7078262851000684,0.6554717082434425,0.5967156956963371,0.5850090426428033,0.5992734415301343,0.6307204213353792,0.7682861178278321,0.897044175909203,1.0621381933779381,0.8343816154210784,0.8467973900931044,0.6738186195980498,0.6750092660039106,0.5617506281900279,0.5100580323876398,0.5420577538754683,0.6088734006947889,0.6776331487084566,0.7477301525516382,0.8481079028638095,0.9102873669226159,1.014165510234248,1.0601669784447127,0.9768815574866104,0.933678651954521,0.9157312493049268,0.9125381634239799,0.8240471614695983,0.7675452021920657,0.7458153453595526,0.9507151864176934,1.2669679949304347,0.9506853851195337,0.8337278492361437,0.91042347914988,0.7622057247886639,0.7048708030519637,0.6518604136247413,0.5986167639180656,0.5705000179823084,0.6374688646312102,0.5977055425845013,0.7250515766557338,1.1147339944999999,1.0314952647174322,0.6385213115894282,0.601231762417473,0.6284798703907939,0.6178586251889969,0.6829142981305432,0.6766072553386555,0.7551602983900122,0.7878064679634412,0.8671304342061141,0.9651395161546146,1.0523032147201101,1.084345253769099,1.3390327664010384,1.412543836980773,1.0256676207863833,0.9728215287881997,0.8659287050214471,0.8806056952398865,0.8494971609056229,0.8011724091252452,0.7713276082838971,0.7331286445247628,0.7906508981059471,0.9042084155575658,0.8891035804997884,0.9033070122122915,0.8227410315462839,0.9898280359206817,1.0711730227409388,1.0170287064345267,1.0674124414008603,1.1056304887629125,1.7001337873730138,2.2743970886682594,1.8796492978994723,2.186497326058561,1.9918469554452736,1.8225115115666537,1.5170158069122077,1.337279863329025,1.3338285921847286,1.0539111061924582,1.0702751516658335,1.035503568671107,0.9064381645617761,0.9863113553506313,0.8838750376342701,0.8332581876020766,0.9011651671373604,0.9126401870806943,0.8230156473972595,0.8693580929010364,0.9374321665898598,0.8971588533132963,0.8870147009600428,0.978704171918015,1.0151262628852618,0.9628499154389253,1.0615330362666626,1.248827936976419,1.2897548802212067,1.1950355018750771,1.2213594132997547,1.089077039751988,1.1316337980860172,1.390826376148938,1.4733275150090246,1.4878390245891353,1.4148251263529898,1.2771710119477755,1.2488342822115681,1.1471634285327537,1.3465040591652306,1.4217100838485415,1.3069109285482168,1.2214780866674821,1.4844811726215958,1.363075442502854,1.2903076942640672,1.6309717876017171,1.6946324299706914,1.4373039033092592,1.4039036919450538,1.1419325731664831,1.0535118318277896,1.1097734432504889,1.0359234628962382,1.0543020734591813,1.0560446479582914,1.1061204622783944,0.9826758389071846,1.0036989943880876,0.8861050091286841,0.8964801679347661,0.8461099789891143,0.8290376113895238,0.8344001857668372,0.829898998950185,0.9263373272073829,0.88814811584615,0.9919997534144076,0.9906636430437891,1.0358316685439695,1.0499615610292576,1.0569683431646955,1.0017901795587,1.0540843614706146,1.105326595620204,1.0639556519591156,1.1092149287721422,1.1735341261168566,1.1327696953692115,1.0894645197001058,1.2621454240817425,1.3481752001910168,1.1575330471204242,1.272010920741086,1.4943223478620213,1.5517942823326674,1.4916987790398661,1.1864211331548242,1.7955513560243401,1.4426390650579732,1.2655308953321498,1.2076788297635792,1.0477511212287416,1.016876223253742,1.1632102660083068,1.0284770897583886,1.088889547474014,0.8920497958162334,0.9162858091952223,0.824324900729079,0.8688896924864621,0.7257171990558017,0.7352367833534306,0.7420937485241061,0.7365710647654432,0.7985869375995978,0.660110790176369,0.6510318010424735,0.6096161232913763,0.6071516168795288,0.5420964295237108,0.6113031172819126,0.5507688310960286,0.6858599224306984,1.1029071694372448,1.476420879645025],[0.7328041746703164,0.6593926980119124,0.6499340512010308,0.42816831792696075,0.5609722475567006,0.5720143119525114,0.5321954788947814,0.549056267827761,0.5249626591829081,0.43625947467224513,0.42987310118945005,0.5271810985788934,0.48861543146181263,0.4899289240945148,0.5481429121085235,0.533801505597953,0.5998564014257606,0.6678386216518499,0.8264212824912585,0.8437764971193673,0.9912952961794353,1.1270401172741098,1.3198527207701793,1.451555777565095,1.2775066926844472,1.0138993725288588,0.8636057243470836,0.7258845314070064,0.6634686359857256,0.5621194708539334,0.5894205627296608,0.5485294329103994,0.5385731728622029,0.6346165706659138,0.6068987235371821,0.6653296050219096,0.6034146581963425,0.7311073014835496,0.7268453537205048,0.8270389094877791,1.0815093725095832,0.9498513465132078,0.9843975836348249,1.1138815958971007,1.581033836167835,1.9414102639355104,2.5014112687896577,1.6073866710307225,2.0620085188525854,2.71830071503331,1.9909509214685115,2.475872165405916,2.328055024132176,1.9987278569182363,1.9654263879540126,1.3776845466437007,1.8849877702212339,1.341209746835624,1.587982932575863,2.211791383689288,1.2009785392021546,1.0125079147809162,0.907847142503375,1.094326531869289,1.0932848040715026,0.9382825401744813,0.9152381949819987,0.7658964812342912,0.8399184140315555,0.950907961718686,1.0204359143247812,1.296857770651737,0.917919863979693,1.2340111251978991,0.7885141976223935,1.0995018771776344,0.8110504095685821,0.7534915004883194,0.7811093061344686,0.8712339930960779,0.7228718255944462,0.791374447630588,1.0626934125266918,0.8765656518548115,0.7925797840697983,0.7419883567245221,0.7370963430497013,0.735274589872507,0.7184216953996047,0.671183841103815,0.6989262457795913,0.7915843595840611,0.7217878300118991,0.5788960912878378,0.543877222518283,0.591910838714713,0.6240341417185957,0.5161907919999922,0.4975853277800754,0.6527494128610457,0.552071928789298,0.6259029078514206,0.596929094121725,0.6774341100799423,0.922331878851086,0.814467858095836,0.8638422017741957,0.9172860843589985,0.7812544211156305,0.726407551978473,0.6551769324637198,0.5879916081370418,0.5377106743481196,0.5387877311365208,0.5214531967057766,0.5619487083575012,0.6963322198629641,0.8121756634976677,0.9284299394754002,0.7120138581062989,0.7488586687323601,0.5871838376380796,0.6055681364794882,0.4882649577889825,0.44660980978724324,0.49912349465990935,0.5552421469777937,0.6320470157212229,0.7031311295171436,0.770118414033012,0.840031541179898,0.910828352083743,0.9444465801995546,0.8733388896870437,0.8452700969473171,0.8581718383802601,0.8521004339414422,0.7721351547256289,0.7037154714594824,0.6538998207670128,0.8730672244658916,1.1479185009859942,0.8600259094295123,0.7455318421713956,0.8057803138843811,0.6570376399278605,0.6196996289475233,0.5831869647570692,0.5335619458735076,0.5080757336782321,0.5937708572274379,0.5612963500300805,0.6898901126624511,1.1412317289028377,1.037421534131935,0.5974548752731421,0.5381810473476142,0.5788470833869231,0.5320010077744693,0.600972715130924,0.5966704997701089,0.6669406630355736,0.6993720394829749,0.7626343333347985,0.8483761922433676,0.9816706978465056,0.9560074427587605,1.2006133128567364,1.3070128503807439,0.9578128261236275,0.8811387328824025,0.7844393102043805,0.7850221349637426,0.7542229767032669,0.7024239428235801,0.6756605451227743,0.6360099247541953,0.6801062403236576,0.786754837154032,0.782586899280818,0.8226407700640647,0.7432992687890004,0.8871751772449077,0.9578852106524427,0.9083911934850762,0.9392416675427362,1.0139572116177336,1.553050504597825,2.2523346749431044,1.7620727050532599,2.0193380113115715,1.8428273838334688,1.6802088226563694,1.3975526395902043,1.1833500749712726,1.1894429063415615,0.9816242278750773,0.9964301206335991,0.9723490094784604,0.8469454833369952,0.924601896282779,0.8240169134226073,0.7797031816346366,0.8610399550759966,0.8760546861384758,0.7993306006183879,0.8514276014758033,0.9229825312516082,0.8894925273479215,0.8873801640945376,0.9793122347013669,1.0239104259930711,0.9811520339090957,1.0772634889285766,1.2548545723549398,1.2815703030245107,1.1986778054103813,1.208673125667425,1.0776798730371524,1.1199361147933828,1.3837856182813302,1.4688710080381435,1.4742563887728921,1.4188861946630615,1.2455826630516047,1.1933460560977853,1.099606528866691,1.270154592828444,1.3629251983477764,1.2339972161805515,1.16176423307819,1.3995805768605705,1.3089832054589905,1.2101666893943475,1.4750453601837528,1.6280330571427322,1.3690710289942603,1.3336516492221981,1.0785638299952485,0.9662148885747182,1.0209237579811594,0.9645523247417794,0.974644596427065,0.9803227884490342,1.026958082778925,0.9139210475534697,0.9458214691553214,0.8311006761167014,0.8487091560232289,0.8122041650070162,0.8087490006430523,0.8201425184195271,0.8265046701380624,0.9264683715252051,0.8947517774598465,1.0030063352471947,0.9916115431269952,1.0428173700373564,1.0450125704303448,1.03873722155699,0.9621474935264082,1.0088603369460871,1.080254563058916,1.0416748292703892,1.0692237964020446,1.1431315870241958,1.1147754324918708,1.0594316271415805,1.2103095837711675,1.311209715689666,1.133362229234063,1.2416128083719575,1.426212263293275,1.5174794095487516,1.4452825685209831,1.1581935039744387,1.701509952799301,1.3997304576077467,1.2580112448696452,1.1980498160872775,1.0408215724302203,1.0140843619139133,1.1385453148420612,1.007651113377992,1.0722515000354345,0.8632469598095344,0.8969964728249266,0.7963680220315064,0.8169557079464594,0.6893852292340198,0.7043166766815699,0.704119726231118,0.7153513874478997,0.7516456599241458,0.629788403594827,0.6472319615545916,0.5941725184774999,0.5766509707868449,0.5363550109385329,0.616182567257192,0.5479425678562843,0.6410297633172709,1.0332645844313153,1.4329258958367808],[0.8753643710457188,0.7888904442545207,0.7781560108131699,0.5257177353132237,0.6534579095690772,0.6486913055246676,0.5738712296125912,0.5995667499240606,0.5600615168266102,0.45788874952811615,0.45078918100895604,0.5456597701037356,0.49705642387562815,0.5097016612745469,0.5648974983881843,0.5452690611210113,0.6243864833916423,0.7007245576107834,0.8714521704496448,0.8965839644225602,1.06593560459499,1.2064981998905757,1.4262402698027488,1.5561058145018323,1.355754957026719,1.0869863896897687,0.9271165061466347,0.7668609507590918,0.6942786254425554,0.5896021979252183,0.6156435155408598,0.5728840598900712,0.5568736361284612,0.6693715384581118,0.6438105032242665,0.7104529981883088,0.6437157103656493,0.7737930905743872,0.7896538648574977,0.921456258451072,1.1544074319588968,1.0240866989075308,1.06423679460665,1.1901172317521382,1.634304079810004,2.002880014254271,2.5714309963016424,1.7310549825619714,2.1150920856610242,2.7961030328665113,2.06640732457971,2.4958377181638323,2.3034547349706513,1.9509832909246956,2.0416767247175582,1.444548552781155,1.8981345639147498,1.4280376272223358,1.6412441832133826,2.310401407629335,1.283585347129831,1.0967793003263948,0.9809546854361092,1.207992016203718,1.1797816039449485,1.0017450372002215,0.9843514342460401,0.8194984323171625,0.8830787320201494,0.9821945871620035,1.0397308087214148,1.3246652689494387,0.9554229230999866,1.289653753523664,0.8329085259234524,1.1316548486800395,0.8765150771747037,0.8069195157114015,0.8414117382742218,0.9346627629884942,0.7893672092990812,0.8783768196103815,1.0887176578447288,0.977296163312093,0.8617333163055809,0.8012782424553142,0.8016836241201225,0.793222694195582,0.7726116374705035,0.7163800140097192,0.7462222778861064,0.8215177860755689,0.7552518956798683,0.6054484275840936,0.5637944265675583,0.6169521979786394,0.6309412978108194,0.5344736120999414,0.5199212285876998,0.6768975496686914,0.5795726107753738,0.675707246849983,0.6548927056317432,0.7610623671825058,1.004073661539963,0.9008558945227273,0.9735978979462894,1.0274614424622706,0.8989484640883714,0.8341975977355345,0.7544085875589444,0.6525025709736871,0.5813627128532997,0.5751853478103007,0.5298885162915101,0.5792466215999429,0.7200754799134573,0.8418999266015114,0.9794615304899791,0.7484300334762277,0.7784886309553006,0.6050100675628732,0.6252128249085541,0.4959336027153875,0.4582768662834758,0.5337256001802704,0.6392569326354346,0.7103398094616562,0.796939312363158,0.8640485197187149,0.9500367666380124,1.0506654954831594,1.035863028152009,0.9685786854254463,0.9217939563917584,0.8927772158182407,0.8856243510229372,0.8001409422771771,0.7376499469056726,0.6909832916093455,0.910652094217899,1.2133263693874137,0.9076080759801107,0.7885030888702109,0.8589224301886553,0.699747105622524,0.6527645402853884,0.611233170627521,0.5761780031467447,0.5524779008214233,0.6535240995080085,0.6185700314453135,0.7593882979310425,1.170829730261011,1.044541484432107,0.6367850980636697,0.5668613376553635,0.6445768097404513,0.5710091470190699,0.6684149068872012,0.658543392874828,0.7067176392327046,0.7400218501545957,0.814159184199489,0.9313092830920766,1.0333483957261012,1.0027497598724384,1.2265449772748847,1.2989054118108827,0.9695656813092014,0.9286853055183331,0.8319819974259053,0.8449284132720045,0.8143795050084136,0.7596101579383157,0.738714581520352,0.6833708384569194,0.7498107074723865,0.8400229164877103,0.8587845000246446,0.9025850230265384,0.824575770358336,0.9855467005398282,1.0612485093611805,0.9860639729619307,1.0166987274752413,1.0969087577842371,1.656205827574743,2.304944223090105,1.8180315871220494,2.0342453754341023,1.7892246472491407,1.641628657359516,1.3813649576414948,1.2452836378119454,1.3169580084008965,1.1405920773252791,1.1727439361662932,1.1584568943993556,1.011735994490939,1.15185462643845,1.0278397781646869,0.9469374156415951,1.068638983605006,1.1073721646987047,0.9838267325638179,1.01652542088281,1.1378196026443288,1.106215467756426,1.0501795669628118,1.1587759489953326,1.2313577379195948,1.1517634534426975,1.2422500905090088,1.437190836090358,1.4439629406213446,1.4433694833255772,1.473000018546213,1.353694432814739,1.4120835301409413,1.6955669796824577,1.7952452673919677,1.7628636086760825,1.6467737189820644,1.5339108330562083,1.4999963526977316,1.3747672370224604,1.5887442213408087,1.6798175173494525,1.511891696169822,1.4313752778423183,1.6722163476097414,1.585005540031073,1.4755079767327275,1.7662408104331362,1.9356963257775583,1.6205053277634318,1.5163660544808204,1.302322134176023,1.1700978709796896,1.2548305381796323,1.2253198333356108,1.1974385933605598,1.2197141986450102,1.2093168809645853,1.127710652880715,1.1669596445372603,1.0357226166336595,1.0321988189477502,1.028504531890308,1.0194454277066822,0.9965833920998314,1.0181908258989865,1.157794382820234,1.112057275525429,1.1670471756151715,1.2006146191034703,1.2874635363063056,1.2923961967547033,1.305191922194069,1.2208389584952202,1.2928765304943262,1.3771274527866026,1.290207718415218,1.3418764300488717,1.4439187793340373,1.3985245503935009,1.3306719544414993,1.5197263028788435,1.6288436248535167,1.4239566191838788,1.5381028378244987,1.793622046164094,1.822269947332652,1.7287718144519906,1.4274048882837478,1.9445135569608825,1.5619488024808827,1.5331271418243142,1.3740191857308712,1.2313037195970284,1.1389917950185404,1.2279556350861636,1.1425804963740032,1.2469285428600672,1.061559651676519,1.1029757996023108,0.9325483145187143,0.957808510019439,0.7973987708979611,0.8315784027407936,0.84224369094581,0.8742483821597556,0.8528427298168391,0.7443310248292134,0.8009655313181188,0.7289044324717947,0.6650215494024341,0.6636872798276455,0.7434551831456963,0.6584872956291814,0.7046454825918053,1.0067715682888418,1.4794684022441744],[0.96986410100611,0.9103960449546527,0.8828555781767218,0.658323025793917,0.8124418078078525,0.7926370257099097,0.7494816223341669,0.7914527396598913,0.7053852191959865,0.6295779872787435,0.6158480266331647,0.7405247292617686,0.7170603874173554,0.6552153977127655,0.696237099022103,0.7298664025619408,0.7730783380897118,0.8400204772453187,0.9823641884285709,1.012304031416419,1.1431984821062255,1.2835133837665718,1.4679913421158708,1.604944848531383,1.4063422078284258,1.1488434422494984,1.0264648502681955,0.9205703348542967,0.864964742621843,0.7731909595158691,0.7762654419510524,0.7660120622779596,0.763488899501901,0.8388660074915536,0.8214115807416786,0.8664118583388101,0.8515541074978173,0.9444374747195065,0.9702371193631206,1.1139236945071975,1.2875252789901188,1.133452869321788,1.190146292997182,1.3212431200723804,1.7828867279261083,2.157615319289541,2.6891107500159106,1.8826763412796415,2.1757730093143386,2.9014892646735864,2.117517713201345,2.4929102185269096,2.312311318261701,1.9888801370642775,2.1573473307028115,1.5179541165342805,1.9023703522287327,1.5750655216242038,1.7616926778266515,2.3322427010807028,1.3412207285631188,1.1944532984637033,1.098019901826162,1.3032738567533195,1.274971125501012,1.0989854119178146,1.0641782687058132,0.9265250706037433,0.9900216877879855,1.0688913045313504,1.1343261805164013,1.408057568043365,1.0376938535856006,1.408334870406446,0.9281449573763622,1.1674092144919008,0.9961580803704256,0.9541435158201397,0.9790166323683199,1.0934472582407997,0.9965537132750196,1.0686890114960197,1.2066254523511153,1.1763391746663843,1.0520547679710113,0.9906561269607583,0.977935388394555,0.9701201616699939,0.9236142873586097,0.8718929389571566,0.877597929006082,0.9247479698728831,0.8685412712267285,0.7553013831334845,0.7229367871540952,0.7318639573499675,0.776751821042595,0.723925640848599,0.7165734782032647,0.8394868400743402,0.7919189257739381,0.9078903920361715,0.9024743522095735,0.9897334692926019,1.1923432247740569,1.129152319242097,1.2289340541026037,1.2636744343662292,1.124192865682519,1.0692631900492082,0.9712803758475161,0.8860975511402847,0.7756884959431725,0.7686802518449636,0.7290241412168535,0.7606271795577276,0.8812342677436708,0.9436432160405472,1.1054755395825482,0.8854235348672664,0.8874131619447985,0.7364907265081198,0.7449189644397745,0.6603106569866403,0.6182430488027363,0.7118441079241283,0.8365927027587956,0.9175598307290355,1.0104491186934073,1.0983045194418926,1.1673707673219624,1.2846949343617886,1.2539490462286578,1.1987176346606532,1.1300349371734038,1.0645320604569724,1.055058668612167,0.9494182892005887,0.8970949600751515,0.8445413644588817,1.0180347904345415,1.2761308643215563,1.0312537368526584,0.9365408605356174,0.9984140748919198,0.8967776009149628,0.8545149099293449,0.805893765954723,0.7964725219640395,0.7544570643635319,0.8520287862251441,0.8134457026820755,0.9329396063495731,1.2419118778750862,1.1176717537659788,0.8467904554151849,0.7957508100020212,0.858265478124505,0.8089024153129178,0.9059218772603965,0.9027427916782792,0.9152591546134231,0.9365872397269417,1.0084747706235266,1.1212822197616095,1.1917975144092332,1.1824451865986643,1.3636564752780875,1.4145984749618183,1.1096902323645548,1.1088433658738264,1.018149706702218,1.0501088209884375,1.0381439909502805,0.9872570866852608,0.9765937928008777,0.9171404087874955,0.9857369250249368,1.054519190042732,1.0992434566603675,1.1285765632531184,1.0492955448382697,1.2039967861636949,1.264921175825889,1.1908835918735088,1.2084848767455882,1.243317161340148,1.8589435735006892,2.3444163219789393,1.9084586760444533,2.0750504743727682,1.8376565899226718,1.7206330164141201,1.514360789121379,1.4463942290591325,1.5276773944084057,1.3450627958840728,1.3819233584559072,1.357170089251675,1.219811777597447,1.3395012237907948,1.2282626606418634,1.1492551349007745,1.2343299931408298,1.2632534889445535,1.1425859767065336,1.1466261063378913,1.248276338902736,1.2165219809124734,1.1422864936483472,1.2225188840584538,1.2724718740344403,1.201702695963836,1.2867690450674396,1.4409256029416024,1.4728387020191662,1.4287239679945087,1.4581192047082523,1.3813774005524049,1.4351115834913852,1.6931021231359356,1.7905375284749894,1.7609903969568683,1.6670929985783738,1.620687646477666,1.6352009662950748,1.532905917432043,1.7472156300855906,1.8035062750933242,1.686168772166061,1.5868262289784425,1.8284722900547048,1.7294609268994254,1.6419846930761546,1.9804388077761885,2.0635698855415545,1.7550259469964598,1.6818048448905125,1.4770884944951939,1.3870495899078972,1.4539794830642412,1.4254174781098592,1.3921241838048495,1.3909669952950419,1.4121164534897908,1.330670575380187,1.3190674944357885,1.2286265575181117,1.2354047106331798,1.1988231592929004,1.178112029110757,1.1475022210524264,1.1509258104227444,1.2765715869919327,1.22959612782758,1.2653354996757695,1.2923871991908558,1.3567517941759215,1.358610831047962,1.3923260057001585,1.3553233066763892,1.4009483169434327,1.4459810080772182,1.3815907012597803,1.4608560098119823,1.5176850127012174,1.4566679641375309,1.4391668490498162,1.6219953232632351,1.658437404799195,1.47643459038702,1.6210256599068429,1.8662589197738366,1.8390406020590242,1.767443954711705,1.4626925127825876,1.9623710273761212,1.56623018063188,1.5139886702248617,1.3654396056359952,1.269265971331198,1.1934521460431686,1.269276384595196,1.2067796790494554,1.2993329934146713,1.1967158437531389,1.2374240879537206,1.1084586775948782,1.153425424515717,0.9965919167625198,1.0132972910732383,1.0453104419548644,1.0631404750775848,1.0569667983638713,0.9377781690496738,0.9448772713561439,0.886276693196436,0.8466113947484198,0.7882703885846761,0.8152886280431274,0.7850839292767947,0.8622603300296853,1.1516974019834474,1.6269234487989304],[0.9127676620321041,0.8334117582945006,0.7688208592235877,0.6056380435342645,0.7375239001249622,0.7406096243137235,0.6941611925328325,0.7287699115001534,0.6775081543436151,0.6080953680589866,0.6065652224251378,0.71690390419152,0.6840708211705582,0.6534267775661021,0.7053098662955385,0.716332774277186,0.7497169832704965,0.8166117395181681,0.9485163534456553,0.968366365028022,1.075993084308271,1.2127534560647597,1.3752510215013518,1.5136376841695545,1.3667654506577327,1.0974193831576335,0.9964944650165384,0.8913023974257515,0.8378535870912006,0.746082875196037,0.7572519722535683,0.7284648994286811,0.7303625905363085,0.795023702679659,0.7790764481319179,0.8307028725438552,0.7989605125043574,0.9061670835496285,0.9185108546769978,1.0300907408136226,1.2483272959518101,1.0972679515514827,1.1307968290821913,1.2792520110730845,1.7202771915311421,2.105343271907495,2.5589212300021558,1.78146906138484,2.1303498332584585,2.853116463607993,1.9693880014642373,2.401208699958391,2.2682815213736616,1.9908916927996325,2.109780681872163,1.475071309145446,1.8561494405539118,1.4993079167639378,1.8113510986609034,2.2210431221873,1.235895149168258,1.1188760263025899,1.0289010468227504,1.1873705798856096,1.2009353186319542,1.0351943366220662,0.990660741782454,0.8883065098385092,0.9598636577579958,1.0605689105539635,1.1550713719483252,1.409858828936927,1.0321244216218746,1.3456585156135479,0.9067846493087187,1.1592159015405659,0.9465009910835389,0.9085166156835901,0.9263433470297184,1.0215433532772014,0.9246943936995884,0.9782283248730721,1.1662156434407096,1.0695141153868861,0.9686953564188228,0.9234856366465387,0.9200718763014829,0.908065981210335,0.8747436943568097,0.8152056416495193,0.8435148499990074,0.8954065841649896,0.8446152561708131,0.7322969805826738,0.7043301252303952,0.7283555767116691,0.7664075927592766,0.7007477664074085,0.6840834584726357,0.8096648129269436,0.7468092732477934,0.82815464765652,0.8045389262702212,0.8948668821893481,1.1189519744591516,1.0038756433330815,1.0474160691604233,1.087390111906549,0.9584882426969269,0.9201293393850659,0.8463859803714316,0.7856015228125157,0.7143044408769184,0.7351111633162224,0.7009672706940588,0.7443909126726652,0.8631857271464407,0.9098320300512739,1.0754687053006864,0.8458501036448163,0.8472371484943574,0.7281418716027441,0.7391324949031718,0.6396327221424283,0.5961344493142172,0.681709021471949,0.7479162610891302,0.8314225426687336,0.8918724174582955,0.9584776950023144,1.022340437605455,1.0991530156884886,1.0998319743667078,1.050945666448361,1.0128781009066798,0.9880201385696219,0.9684603405172708,0.9049694965512046,0.8731268358613705,0.8037165188845434,0.9873179451976117,1.200932909084262,0.9972278619563777,0.9069961848323069,0.95832082733035,0.8542163224310111,0.8173741063488857,0.7782484531322718,0.7420767890104157,0.7108540270216188,0.7703600111026319,0.7497165251840855,0.8471835055265852,1.1989094738282469,1.0918167208130998,0.7763850260462458,0.732187590554361,0.7833192439710592,0.7364746823341861,0.8109961023810891,0.8179962398545327,0.8579141232438766,0.8751976060529376,0.9272167400777042,1.0099191881230098,1.1317986178365282,1.043815029031783,1.2061678502110278,1.2950697944032963,1.0108638382305766,1.0072529095599065,0.9298615736033035,0.9514109735557943,0.9350770560389443,0.8979333627311669,0.8827084133590511,0.8358340348039813,0.8935937750642118,0.9513440169804458,0.9865704921128585,1.0133560065712983,0.9409960280730332,1.0720474259210007,1.140998876033148,1.0680309586088446,1.0587899147087605,1.1505838914701148,1.6592273106596183,2.330385038265802,1.788592021327991,1.9076058354678966,1.7063210045825479,1.6051099352304907,1.3909601067986757,1.2655000562691727,1.3239943677495971,1.1702755343026943,1.175864991474986,1.1358646323715835,1.0225906682232988,1.0934827033941,1.0066806248245934,0.9588225561924794,1.0069682138701084,1.0164675563106622,0.9466769870044209,0.9626688446034025,1.018609695167514,0.9973393274204605,0.982163892152179,1.0477269587084068,1.0765621624324822,1.0458130488858652,1.1296096247437937,1.2749761520403569,1.317797336440052,1.210742490931282,1.2064154974376224,1.1103334858461367,1.1534309940547003,1.3881945070034192,1.451625199661438,1.4748011670763634,1.4166576781336935,1.3264569668279822,1.312409267536064,1.2339985744085245,1.4181160861131552,1.4636225877856532,1.372994555635512,1.297921288733168,1.4989298048209556,1.3970920608317399,1.3504850192120046,1.6512556125561522,1.7408563548616904,1.4613123162525352,1.4647263715773444,1.2208167656007647,1.1434421431830133,1.196997585264266,1.141059172756061,1.1467759062140825,1.150842663075757,1.2041261953940126,1.0999796826688795,1.1014465724213147,1.0089597095652028,1.0367324928554293,0.9722220981967313,0.9591820097534169,0.9637142349473238,0.9598271531779479,1.0420278221022885,1.008765902752965,1.0938570511769976,1.080829699296498,1.1206681601538528,1.1183228566321153,1.1358279548837769,1.0942389542421902,1.119671517699282,1.1551083927039953,1.1309670263456186,1.1749203265862027,1.2047633582480348,1.1630566724085407,1.1458317978831605,1.286468570515786,1.3305930340202137,1.169916103576798,1.3202291705080218,1.4767010306474748,1.5138615823382744,1.4820996329540785,1.1899986379618646,1.7605743123949906,1.4099237893661118,1.236491786092493,1.2044191482866846,1.077113284846968,1.073326858644105,1.188665808633451,1.0723191002736405,1.1096245216001182,0.9774521978371598,1.0031397044127892,0.9429523866841122,0.9830947560031547,0.8699437367558605,0.8722971637051253,0.8929120030716403,0.8999760536079212,0.9356256209931701,0.8164417424213866,0.8109192405522639,0.7739161295205436,0.7610546257808918,0.698800953694715,0.7435788879980785,0.7146339927248967,0.8067738529315568,1.1072145163482299,1.6359376446096383],[0.9319939392379851,0.8632579319112877,0.899145926047667,0.6451728666144078,0.8465342664981554,0.7851726056965624,0.720930289308874,0.7675753796112531,0.6957069215620212,0.6007111949947742,0.5917684499864164,0.7010876631850453,0.6604109474384211,0.6287919193730472,0.6905310087363434,0.7044741477734096,0.7215944954067319,0.7743970640963184,0.9000078987501543,0.9273847316714176,1.0261018426921176,1.1558697867693535,1.3254128255040636,1.4590588701791483,1.3274792446600339,1.0641851227858927,0.960702655813193,0.8704953195659936,0.8211731302780727,0.7615131292533267,0.7262710217477192,0.7471062906623643,0.7394701592678591,0.7808317897332204,0.7773828797670076,0.8123050054932439,0.8179225259113689,0.9043734359179276,0.9135428778106728,1.0267963945574552,1.22574305705718,1.0513382329402399,1.0804212542180052,1.2169119909749768,1.6477968991401726,2.037185372585491,2.487505869443045,1.6967847174436739,2.0913902276718144,2.8024654517675622,1.9051630627836333,2.3779700011637632,2.2589889171835518,2.021495411773649,2.0622153295453227,1.4276569876659586,1.8451973163334077,1.4348297943538009,1.8130220682792313,2.1533698982759844,1.1833012944887416,1.06399587186717,0.9848130867028746,1.1174977038122436,1.1264731264625432,1.0071491122600251,0.9284041301173834,0.8414752641647935,0.8945581719270975,0.9981984451268365,1.08056287903346,1.3358780408363344,0.97196501135804,1.2369786129759697,0.8588275204056227,1.1384241623776181,0.9043149616449547,0.8672812775399371,0.9055989223771156,0.9960108152530514,0.9159718082332206,0.9716794416408795,1.205579382774599,1.0862065990096126,1.0002612795007293,0.9409282055024281,0.909330676950426,0.9352305804764459,0.8520403900707406,0.8043461699433552,0.8183608021163628,0.8497821391458402,0.7995210095482008,0.7015027802608735,0.68171930752417,0.7015058171200369,0.7390747933082201,0.6834798090934063,0.7020736740178503,0.878562587239722,0.8082066247631005,0.9078163113252852,0.8611266852933134,0.9948416740434602,1.2173791426594922,1.064307893330077,1.133927341826433,1.172754199073494,1.084024898412911,1.040865400348473,0.9458078134897061,0.8679633373411592,0.7772714789111301,0.7956539057070688,0.6839854437517293,0.7350469517678648,0.8524260228116913,0.8847334366125728,1.0147647761904308,0.7952203755987826,0.8034375613865241,0.6724294887101235,0.6923553363553357,0.6113460683945241,0.5949729810404323,0.7560224675374415,0.8416260481078228,0.9230418016753759,1.00260561448226,1.0508383330406468,1.1357115881359268,1.2089910236772763,1.1920635709521714,1.1489022825873025,1.0909889666930812,1.068091830822684,1.0446388160136773,0.9532835547109212,0.875675988929894,0.8169842991014915,0.9654645290326233,1.1770209121421347,0.9794741620202468,0.9098555943226658,0.9529706261143313,0.8465144235257849,0.8190413949330939,0.8065892875727126,0.7933315065112417,0.7654118228554752,0.8583220382739744,0.7958775408513801,0.9021872367279197,1.2934626261000697,1.1748056441611812,0.8268234379121675,0.7744754714495338,0.8610883039037778,0.7772256251652175,0.8890026934779938,0.8729934313080462,0.8830934771182634,0.8948524264784242,0.9485802935279124,1.0274222938599218,1.138574162592412,1.0568722331064628,1.2090295706931222,1.3173260236467303,1.0505383746057706,1.05619372039986,0.9605614093206882,0.9922206635940874,0.9849713765843578,0.9460533807654503,0.9523211870596847,0.881437447497067,0.9459316514840393,0.9862003111392507,1.039635451335364,1.0662848366900575,1.0276004080321028,1.15049622812602,1.2103540523408893,1.1173956415914321,1.0630253859965004,1.163662946413291,1.5783139374914938,2.305621809170086,1.7458918895361712,1.836421151268816,1.6728508857594795,1.5808626753341244,1.416067753253131,1.3101371311844774,1.396303578814621,1.3136707495336752,1.332266788068686,1.3067770796875424,1.189001258780464,1.2900916144808017,1.1870052128062254,1.1220658447730374,1.2171851384354184,1.2315326561823818,1.1344549866427662,1.1535957188189905,1.236181941945731,1.2100692447069599,1.1554929841814419,1.2287991208571882,1.2792151616017158,1.2164778011503916,1.2833170411168238,1.429481800344715,1.4480369391251111,1.4328391307252484,1.4446226318360889,1.3772501439078784,1.4097571002494156,1.6654783826146677,1.753176078258642,1.7657611079717292,1.710613270388979,1.5978520603634603,1.5521713939572004,1.4570128172297658,1.631331335729503,1.7132159991198381,1.5637790362061492,1.5217593834434915,1.7095872581591516,1.6207759408784648,1.5641668812666412,1.7837913022779959,1.938124165996476,1.6753831575283453,1.6233428680354993,1.419084486264742,1.3078658781471966,1.370247195963232,1.3414834926224624,1.3194536351653108,1.3243182633783657,1.342596135406784,1.2766856296705003,1.312272961572728,1.1889213263507583,1.1873947394599424,1.1681616657735672,1.1508286363592504,1.1237992968854633,1.1369396395237827,1.2484449750324205,1.2032711215591394,1.240834075917836,1.2636200215066582,1.3353381932849036,1.3532856613924262,1.3830935677984686,1.3245483283999466,1.3783899672784017,1.421872283053543,1.3758656299350172,1.4278047360261372,1.48581529017464,1.4420298875737625,1.414062191054235,1.5495688425876097,1.6181331041148834,1.469963146095439,1.6015521554700336,1.7383181537480674,1.7822227973488074,1.7193779435242864,1.4566273214673153,1.8692861369158489,1.5275994547633243,1.4593658816383852,1.388156347779172,1.2941236547832862,1.222143930163248,1.282070050330069,1.2450034444632534,1.3367278377041147,1.2135503235923875,1.2456025956411176,1.1079015053531038,1.142867237188717,0.9978005446968157,1.0072134766609147,1.0278050770756177,1.0502991506282107,1.015749770468729,0.9198755453442076,0.9598382714251779,0.8907929992431485,0.8311937566729529,0.8051187005404807,0.843281290358481,0.813086893981332,0.8489273108535214,1.0871569676103707,1.6457396017959016],[1.2141568796733155,1.154729716556939,1.1271050084631669,0.8670384264053141,0.9733207726893262,0.9215615008846315,0.8220647234800137,0.875052612554847,0.8040826775941466,0.6874393438393508,0.6751127926906074,0.7966773365564234,0.7535146307454645,0.6869538645569246,0.7655086368553832,0.7880505998815103,0.7874553079428526,0.830580213706569,0.9386322585430725,0.9910703610544646,1.0934411982225687,1.2100008372896411,1.4034470739380664,1.5445392405308995,1.4013235605242889,1.1160281676057473,1.0136482164366023,0.9108833267025751,0.8795618836573919,0.826724992948203,0.7914875414258783,0.8200719334745304,0.824573460658274,0.8578883917439896,0.852104115595729,0.8800114668564347,0.8980065826418291,0.9613017248347918,0.9789848493249664,1.0986411580340558,1.274929585508531,1.1142432902112323,1.1672135995795017,1.3359148729377295,1.7546419939851405,2.1280374589318565,2.6148482285094348,1.7995249952805707,2.1374013587919,2.8787243635147375,2.0090464390368,2.391771728415735,2.2888888402135086,2.033940393593047,2.1730618646746853,1.5234498206861447,1.878113981524944,1.5323697062206172,1.839936458156408,2.230639730180663,1.2571195786740386,1.1450224871038728,1.0490406013008593,1.1968251941921322,1.2108026147612567,1.065133137702213,1.0144358494610743,0.9025329562281209,0.9547535494804704,1.068512182687254,1.1376363812103727,1.4003993078679664,1.030824305805709,1.2978392688818863,0.9194062400376736,1.1583987739238213,0.9588303793651545,0.9323575040697761,0.9724956745149969,1.0709174082457376,1.0026422023633237,1.0663408806814652,1.266736842863676,1.1743965739577926,1.0725377722697893,1.0208403043259962,0.9847989949374695,0.9988361789357769,0.9164560814433376,0.8658542143287538,0.8804208242161957,0.8973388265858843,0.8564161115788789,0.7771946813050377,0.7590054525347698,0.7864086207468328,0.8224947334121231,0.7636347479745171,0.7884131926314438,0.9582774617930804,0.8832104073059902,0.9982610765857378,0.9657181370360118,1.11043604675246,1.3206811695995715,1.2001491183419841,1.2599649281553615,1.3172066363276485,1.2288018065124686,1.170781442487227,1.0778229009092488,0.9632605366692885,0.861484143835256,0.8570706315507954,0.7532877568732251,0.7753859761859522,0.8826432311405921,0.8941137969181868,1.0563824383009037,0.8386420427203372,0.8421350214474472,0.7365480811244365,0.7403089783953041,0.6698618954171988,0.6767265444954661,0.8061791287348241,0.9568973327564241,1.0152023633409004,1.1125370521285052,1.1607845535134542,1.2445795104039132,1.3577284580547382,1.309810381554704,1.26891246471538,1.1876508861747974,1.1040391011766086,1.0994893223429285,0.9937812961059014,0.9146935974231206,0.841526567002976,0.9701749289877697,1.1813715527036635,0.9971732349458506,0.9304617666294176,1.0004529447529769,0.9008828909919927,0.8713324352552589,0.8710100078695462,0.8672084296915409,0.8470414405435485,0.955508141397221,0.9136420365750909,1.0269603786690409,1.333054993632243,1.211541214276666,0.9283346110764893,0.8678336962385939,0.9591921760678584,0.866271270346428,0.9738483319379428,0.9575462519281713,0.9542716732932798,0.9501829121536003,1.007692962602632,1.0905750600328676,1.1837130618964202,1.1513810924004046,1.30152324741509,1.365574201776311,1.1014003466696483,1.1205443794772263,1.021374639714859,1.071680098491799,1.0672217939715996,1.0306108982414162,1.046232798654284,0.9599891147882663,1.0569171145216059,1.0615575997192301,1.146485358889461,1.1550643389515476,1.1320463200922912,1.2605516315474332,1.3366066925822395,1.2234079418703045,1.1596355840974804,1.2178334488633402,1.7191502519857533,2.346726092266229,1.8756877108162506,1.956633321757302,1.7105110673070285,1.651533421281797,1.485318798609408,1.443297961840536,1.5558809071825603,1.4744928203355943,1.5123182279261553,1.4947668929075157,1.3693337397219298,1.532550119289605,1.4202677654836577,1.3106753129942748,1.4382299423923626,1.4900002099986518,1.3669419363172737,1.3576645050125773,1.4985241275090648,1.4804748694703216,1.400099442293697,1.4960801265362014,1.5649760984265966,1.4756032740639373,1.526957352189988,1.6792100885080747,1.6679287993783751,1.7766813753668604,1.7700133392117279,1.6831642541371425,1.7514660087167868,1.9317273378267956,2.0806404105774803,2.0197718596605214,1.9518486896870144,1.915840718890736,1.8709430822395179,1.7548658304792286,1.9501104706041792,2.0121347723841816,1.850177422527522,1.8095687580153077,1.9958691022829578,1.9136039911038536,1.8338760823500524,2.060216887233151,2.209078814567698,1.9233371161863522,1.7851400936017,1.645914810423735,1.5232818961152255,1.6310357448814803,1.6294538951071666,1.5796504980420358,1.5916980060133834,1.5664058780875727,1.509100042826126,1.5663200403031308,1.4478631655530845,1.4177632417417323,1.4209068374820812,1.4202448277335247,1.3755190129177342,1.3923016985095982,1.524330579358849,1.4951523888892635,1.511930410984894,1.5445458293351422,1.6507499002866608,1.653044080323209,1.6807543036890378,1.5974387015337983,1.6817392581941755,1.750289530637413,1.6555347801752776,1.7098867126058197,1.8013839651003536,1.7414116068068248,1.68074900513031,1.8661429945445067,1.9648579290133048,1.7492258788140091,1.852802210729777,2.0673624279978866,2.0705833955435473,1.9910130615177766,1.7144217124376182,2.175300011035263,1.7560076391750639,1.8023822805817058,1.6102629212023067,1.5287234442698014,1.406685806322708,1.4192036170174078,1.403147386230041,1.5002232581432335,1.3768864763093667,1.44600833849554,1.2415405204515675,1.285521589735552,1.1054332718603372,1.1604489311846737,1.1976386057965143,1.2655902453902905,1.1913579880279785,1.0895952414834995,1.1989543979581365,1.136235635250609,1.00306959816006,1.0551933801645625,1.1267752541437686,1.0650873734492898,1.0916774149988573,1.2391942333074228,1.8435543320644294],[1.3477923979523656,1.2738598191092259,1.2322162520207793,1.0545629395624,1.1798914321019531,1.13722695876913,1.0656243008536805,1.1198192525592654,1.0344552705762742,0.9569476341222045,0.9539380887392763,1.0475471230729385,1.0395103296581827,0.9751686425889601,1.061039249631596,1.0973694923814077,1.1035896182408655,1.1483834505622244,1.2395552311544729,1.3014431527757981,1.3871486134263216,1.5300843733581801,1.654233664757349,1.7835177807543243,1.6463190847573803,1.392310698342859,1.3346058311593207,1.238448783368,1.205832701383446,1.1801673001185244,1.1360981555898393,1.149381294866109,1.1500428215310157,1.2020164337583232,1.1891990249089446,1.2319935711729764,1.2480197439781977,1.3304971439898579,1.3433203191619365,1.4627791443325862,1.575835880754615,1.4570895551882748,1.4965075596870843,1.6187813283230437,2.007219724135818,2.3608087758622474,2.7205408572139222,2.0982595464591696,2.342750118084855,3.074168920630294,2.0921392138121413,2.4442877409456636,2.286200915673336,2.0818016384830877,2.393615259519628,1.77998992979368,1.9969615600519044,1.8628656898977312,2.1825653773578706,2.402951679758358,1.5363648332778908,1.4680134900368424,1.4172874651739118,1.5300142679613198,1.5498318535306157,1.3915475945448652,1.3042730573109254,1.214488705864951,1.2058752732153168,1.2940778660786108,1.3824638405957497,1.5841587795020617,1.255488430468276,1.5462642552054926,1.2253274393335192,1.4167442001358446,1.3018938268383364,1.2990192165435934,1.329851114456884,1.4056814767209873,1.3634342944288682,1.4072960047470262,1.53762320987746,1.5057150188140322,1.4201547730146125,1.3709808215809585,1.346451084012905,1.3341798879771927,1.2831376533490368,1.2186600879144978,1.2194495168457058,1.2508712647524123,1.2027379189742142,1.1108440846220555,1.0805095355370025,1.081067507204299,1.0686300558953898,1.0904292588525508,1.1025478321983935,1.2238168527683626,1.209582000605587,1.2790033653643214,1.2647507717083406,1.3723175483248662,1.5713183629158747,1.4662316510196438,1.4782478166807025,1.537034537719143,1.4389949736498506,1.398999930829775,1.3208365238982223,1.233107175797755,1.1422504172425383,1.1403415698764998,1.0465271352693066,1.07634629113143,1.1655112824773124,1.1593481096607168,1.3413141186278454,1.1315389836839205,1.095845419648692,1.0078703262341127,0.9992836927448753,0.9374360754167728,0.9407525600825285,1.0802344712515206,1.187881716720186,1.275844910384714,1.3493097729938484,1.4091713701394002,1.4708215674380412,1.5612295054303875,1.5456392726095192,1.5205326425758057,1.466069507931613,1.3597601248737197,1.3593731998122494,1.2707143036805708,1.1994596628343148,1.1549026065907455,1.2201189315694192,1.4159720063198873,1.292368381160141,1.2410482831233858,1.3265314343941805,1.238039229044479,1.192306546176724,1.1859648463077566,1.1803116514305665,1.1457364572748696,1.2199032846247508,1.1740843435197597,1.2574831451176376,1.4934746661699905,1.3948023695611518,1.1926422813869721,1.1562160553922087,1.238262946310996,1.1690821441576793,1.260263360976813,1.2715138417598975,1.276869652083296,1.2652753387293336,1.3344074031057727,1.4280812560227576,1.4741784691600244,1.4252357892488974,1.5121666894543695,1.5621611291065525,1.3595610984216975,1.4017962332144893,1.3199440761256274,1.3825255340355547,1.3741662513700459,1.3501493453639863,1.3595361058789202,1.2795122853129108,1.3878795400735338,1.3716362117180887,1.4479055677783967,1.4552415120060915,1.414094336195458,1.5194770033986034,1.5940783574384103,1.5041072104228772,1.4600830276578625,1.5422147143089122,1.9773678442337697,2.53194843082737,2.0774738837621993,2.0756337752060547,1.8467419891916343,1.7976644118077885,1.6659737432089392,1.6563048630547623,1.7437739142786308,1.667324064999491,1.6650931580744415,1.6290713224010513,1.530055773760138,1.611907601051111,1.5338475253972899,1.4602125805243065,1.5185483392099932,1.536922871901837,1.4595699403445932,1.4360816323250782,1.511702696786669,1.501378056449906,1.4421341356700816,1.502576671448607,1.536141000758264,1.4900089469398874,1.522172806610141,1.6520078314799485,1.6626498979830635,1.6721963150118062,1.6510081306634732,1.5921645311172135,1.6500945221684962,1.8165120545693294,1.9223016376738864,1.8959954963123118,1.8239363608734092,1.8304733895661771,1.813069311232627,1.7295051461281512,1.909414529919794,1.9441285717093235,1.8435187836142837,1.805786376837777,1.9544772193511697,1.8617260808809466,1.8433563286648627,2.1277584822705635,2.194627256961237,1.9042085152405013,1.8610482535691726,1.7030785868402545,1.656929060619223,1.7251126094771279,1.68622261154568,1.6714246970986173,1.652962829546972,1.6820940135544606,1.6189005137312198,1.6289107867598984,1.5505869447728389,1.5483662590305456,1.4925499497485426,1.477082190689635,1.4551692248599888,1.4598304376180213,1.541807017615496,1.5147971256728996,1.545004346840062,1.5468259913993996,1.6068535142885363,1.6100097070815216,1.6357486001833836,1.615465847317089,1.6521172780541977,1.6647436185373174,1.6247501292459496,1.6869401345634543,1.703163016532055,1.649508968082616,1.6428222550483542,1.77848978732243,1.8178968936754532,1.6596520917519912,1.784857933077269,1.946560503872601,1.923213773342099,1.8959834344067155,1.6570836988020066,2.0891502039967906,1.677192482676555,1.7094784290158063,1.564331094565032,1.5085475517393567,1.43687288629491,1.4515614508587873,1.441608842015092,1.5003238901006197,1.4539278320488913,1.4988248214133464,1.3908079898233228,1.4583497812029078,1.3165682477260783,1.3231164162764122,1.3661212219288807,1.3951711511056544,1.374353180149686,1.27994370067778,1.33178824525635,1.2882729088488718,1.2047067012057413,1.1996236348942302,1.2463468642804896,1.2173521215420282,1.2815438482453971,1.4536215704980022,2.1100688796579017],[1.206725496791139,1.1275948822904664,1.068185663104991,0.9276470501464917,1.0846561242372614,1.0622553334690013,1.0105797706226571,1.0637396412550593,0.9920522277975697,0.9213666963583604,0.9202645144250367,1.0186886168610805,0.9966981113984075,0.9283272698907168,1.0201128620897246,1.0656295792212924,1.0603798129186597,1.1094084413280247,1.190738761328145,1.255442124684175,1.3226210588723992,1.4368319542251404,1.5438116711622303,1.6755059755609765,1.5861392630098132,1.3267299314539973,1.2681168764184012,1.2003524767213791,1.1734630835606696,1.1295333860506043,1.0924790959977697,1.1102859995749557,1.1132934335559033,1.1662563773529209,1.1546426693925422,1.1844487323749946,1.198453764346713,1.2792197515864194,1.2803413024132075,1.3850258495590284,1.5223863868363747,1.3780590923814218,1.4301606122968507,1.5951756064213167,1.981203208562275,2.3561630998247334,2.686099733505442,2.0515756897145945,2.360106223721786,3.0682883122741043,2.044109560794921,2.3816049127571755,2.2913162577609913,2.091149884203675,2.3225865053053907,1.694795697613865,1.9373825626639511,1.7623737739633585,2.1312834220787242,2.3052375256915716,1.4161460113368594,1.3870065166712453,1.3377724579718129,1.404683789334845,1.4605918137729479,1.3188222521277924,1.2386939985353391,1.1622432279959216,1.1747531197944017,1.2531770487795375,1.3470115422973512,1.5575219417098842,1.225079170920535,1.497642084641635,1.1632972168369553,1.3543657220341654,1.2399866061264804,1.243186602008978,1.2780291193005315,1.3452175746312636,1.2863025077448011,1.3364797584203376,1.4681333892381145,1.4068950254768984,1.3266707084680462,1.294258889647844,1.279809836227482,1.2955770005282103,1.2205363813867927,1.1624826213030275,1.171117158685001,1.1838223914879047,1.1473792973010195,1.0599314099488568,1.034445265238106,1.0231198468449718,1.034737215684871,1.0502479393022863,1.0573011114325301,1.181641410229482,1.139448894129128,1.210767991317503,1.195930154393152,1.2915707560996423,1.4906739343385924,1.3694882713001812,1.3626186164449112,1.4158121256772462,1.3194918727067708,1.2909528071548249,1.225867988345742,1.1618920188790551,1.0839836447547295,1.1006402232400172,1.0185459446209162,1.0477120535116156,1.1521160097220335,1.1136807513258318,1.309508094337316,1.0962490629103718,1.0560199197633338,0.9835014941280262,0.9692181315050338,0.9062072300428917,0.8999786380190917,1.0341448455790987,1.1066872278617839,1.2125518702136084,1.2674131614759312,1.321004852917083,1.3702412199919525,1.438477377020181,1.4305384137950359,1.4108151918452205,1.3776582137616846,1.3041314240772877,1.2843669330311258,1.2233639625053672,1.1647244077783891,1.1217532995289166,1.2139052717279384,1.391212866975719,1.2540785762971622,1.2039844115415208,1.259557584763911,1.1979355813063204,1.158921067150577,1.1454486495332303,1.1212896894521656,1.08511453123162,1.148935341947794,1.1110378031805306,1.175119402429807,1.4313353759709366,1.3550121222433402,1.1339878472534202,1.1026942364206977,1.1706602449001224,1.114562301157378,1.1904422516654345,1.2084063566038472,1.2264755179904516,1.2245287238507299,1.2811448762838062,1.3554457274847687,1.4424572040830526,1.3340905276933421,1.4009394152056664,1.4674318582061572,1.2920967717141723,1.3299047397406272,1.2691167060026978,1.3161042213969736,1.3077953267710654,1.2805283524241584,1.2794573821441866,1.2065653153478078,1.2980987161949542,1.3014366084193907,1.3658827458120355,1.387348092667538,1.32962654659787,1.4351505677982352,1.4967551967643669,1.4316232110154468,1.3794264401020095,1.4722143388795053,1.8273275509285163,2.466272937260393,1.9952629298894697,1.9283268874860802,1.7244790645147166,1.682225568139561,1.5640389616894401,1.5183536172560683,1.5906030673015519,1.5382784217152388,1.5160436972475415,1.4674415434797963,1.3794611141332465,1.4237560237536684,1.3511560064637873,1.3051561171888049,1.3271367191638248,1.3249147675784574,1.2693124222438747,1.248568976820656,1.2804014349096158,1.2808537036074992,1.2455062521389897,1.2792674443077003,1.292765422929045,1.2735943500379734,1.3107224878834292,1.4110332352884107,1.4308180462614226,1.3825682653185065,1.35577701463892,1.3142512863204308,1.3596936541802285,1.5462524034078693,1.6030483746563498,1.638912139103998,1.5985673584858573,1.582266608666228,1.5668153452492122,1.5090779562076255,1.6727798834955365,1.6982150220790662,1.6217822988594437,1.5912272253172446,1.7366010795041817,1.63269936050257,1.6331857807947359,1.903968529787145,1.9631011133593903,1.7046916479613514,1.7034220476497333,1.521765971192961,1.479913067674712,1.5251120881177287,1.4752999292728155,1.4712310395504238,1.4534121049866038,1.5126085029673888,1.4383709680866694,1.4255701366422584,1.3537754038442553,1.3738888726453171,1.2928779681219997,1.2706847008490962,1.2644007946612468,1.2587070902251367,1.3138542040798158,1.2820943065366266,1.322961146167854,1.3107741358390301,1.3408356589275934,1.3507353442816734,1.3900676002960994,1.3827978624267743,1.4006906076850851,1.4009220376921225,1.3842228639499898,1.4396940869718433,1.4362789155847493,1.3834365896209593,1.4015747905140827,1.5173793739707884,1.5273726528415266,1.3827618704830678,1.551294661428108,1.6655753023550797,1.647580343216967,1.6482446100690495,1.3948540313499842,1.8719023107612134,1.476121026649212,1.3875144986279355,1.343619258731408,1.278229834603045,1.2576587371349934,1.3115187647186382,1.2695697363047267,1.302225003092877,1.289277214965713,1.3031103060132079,1.2566526763702253,1.3256385310907055,1.2207558456794263,1.1975532141838852,1.239612265573304,1.2433884904710775,1.2596119020798227,1.1624007611733262,1.1617382174358208,1.1312105533779482,1.104392419779791,1.0435367940967573,1.0697226657586587,1.0639723894113222,1.150725873230678,1.3585998217604445,2.047762617726327],[1.1311054524013844,1.0564127421588319,0.9581479378233514,0.8464107015197931,0.9673734692522697,0.9918474897644359,0.95135166947381,0.9973337758671116,0.9361650675238975,0.8803571645649638,0.8849664978777432,0.9745325919777953,0.9507713447004026,0.9003916066981191,0.9737983463951949,1.0191062124019372,1.0280396859321006,1.0947870127206827,1.1957136254546301,1.248420535178421,1.3225846119011457,1.4420202458554583,1.5318621537727908,1.6664291348740363,1.5827538185689176,1.3224313284388312,1.2679104512361437,1.1869105580324484,1.1506492971589726,1.080194053779118,1.0574983525737596,1.0633232509862915,1.070385309117544,1.1282672662045785,1.1204415212254404,1.1465807723700954,1.1490399610123314,1.2510404575088796,1.2567786591984305,1.3640179539797384,1.5232320681118503,1.3729580535734591,1.4337891378117273,1.631178202056954,2.046107701508373,2.4236454283043023,2.7123985182389316,2.075661986619861,2.39561965214802,3.0886845940079124,2.047484105164036,2.399114883099388,2.3452485480013587,2.158775285753789,2.2986013564802867,1.702116043715807,1.9582178807024722,1.7509016327133673,2.1326792250405826,2.279401583951699,1.4073151422256556,1.3914774477611924,1.3257242215717813,1.387977153643513,1.463085376873425,1.3172926150855837,1.2445040341673834,1.1562347028586542,1.178979331686358,1.2229786464513241,1.3634107889437992,1.5650703211814692,1.2254577463216585,1.498914161987734,1.162446403683276,1.355472727074651,1.222445113602552,1.2265607283815878,1.2554578844655635,1.3267051259845597,1.247211088821645,1.2949280860489958,1.4071421695093713,1.3436605838062934,1.2802361229983465,1.2506411618589865,1.252103666884649,1.249930625945457,1.1970095147936566,1.139718227435907,1.1364732541163316,1.1624123362805077,1.1155050360714884,1.0187657442940183,0.9912632497581043,0.9782243509881463,1.0053368522521964,1.0031595247142995,1.0021383217709583,1.1320169309832762,1.068670337602499,1.1138552319217065,1.1004370218031572,1.1841369452200825,1.3666442609867433,1.2586486764312785,1.238055418203756,1.2862868550370103,1.1715977691585089,1.1610825295759108,1.0982081334256217,1.0658642523688981,1.00454944658066,1.0428621412621044,0.9877568534383668,1.0237827120644827,1.1415029653339248,1.109117663702978,1.31873562487475,1.087106692412234,1.0528380707421978,0.9650928799062155,0.953135813945223,0.8840937773015688,0.8572227772572111,0.9733663012604308,1.0048250767558156,1.1147016736260085,1.14434167611698,1.2031607350065598,1.243837234343031,1.2866581629017018,1.3180296449822075,1.2911008506455408,1.2894798397844502,1.2530981915094728,1.212040493469288,1.1903928188397268,1.1467650969797718,1.1184875333432132,1.2529203970032345,1.4359186733886438,1.2691879695632071,1.2045920745524972,1.2464458354703634,1.177349795209091,1.1324651906928527,1.0938041458642926,1.053364590932695,1.0051715562399994,1.0660805364942245,1.0271611980906432,1.0980420113778004,1.385427534690925,1.322788621131049,1.067008168892142,1.0373145369214496,1.0838125173649005,1.0465623549527556,1.1008467352140876,1.1419381626107112,1.1885767492638055,1.2119811821809183,1.2650703733559958,1.334031853707558,1.4626631675478592,1.3028916250194011,1.3871479951205095,1.4465136299335315,1.2944750545168042,1.294819310368045,1.244282681432339,1.2717777221566937,1.2515392984783518,1.2202023216998712,1.1940966961672752,1.1349238922736848,1.2163704374182465,1.2494770897851912,1.2784692853441055,1.3291043148800548,1.2290586759670774,1.330291671467421,1.4014847621282864,1.3665979619466764,1.3394615602498072,1.4543666672816147,1.7895897684403634,2.486939230177884,1.9627293249821534,1.881622614852595,1.69581562622744,1.649287223878214,1.5209326036248318,1.4234741722506774,1.4623396759066332,1.3906525592022951,1.3311702602939706,1.259989440032013,1.1904249318840334,1.1956420869499256,1.1496187250569392,1.1287776877973208,1.1202864867047793,1.1151087381069302,1.08710911542775,1.0819472988840038,1.0938324343130723,1.1027393444630036,1.100084752958546,1.1404734633886842,1.148634649272466,1.1323304689104132,1.186533327560047,1.3042899222960505,1.3375091240700225,1.2242502300739213,1.2357751652619278,1.1419717383117765,1.184554322030043,1.367754841333368,1.4012964655244446,1.455487816912971,1.4087514908066034,1.3030105500077558,1.281334689526981,1.245945048962897,1.3537589683868019,1.389464051570637,1.3443727003171466,1.3159380832397172,1.481236935412952,1.3412879781208362,1.3437672335018536,1.5863096725708905,1.6206913563357133,1.414131688857492,1.4784931867574898,1.2763943211730893,1.2689531045694884,1.2796865377087518,1.223961253244399,1.2391692587889125,1.2565238806716197,1.335540668927697,1.2309625203115628,1.2280451606744207,1.1566554184910613,1.1927498616639727,1.1053099246341278,1.0911639017430284,1.1065933902042613,1.0952972067897315,1.1330493041692928,1.1070047024672014,1.174812962486389,1.1687718162685954,1.1678603672533163,1.1760888558391451,1.1995314133409165,1.1857622300006085,1.1782925838088552,1.1838470476510605,1.182235282675708,1.199938397984113,1.196203294179653,1.1683121742554,1.1614299391569034,1.2506718008891686,1.2991006281183495,1.1424284089345793,1.243199503118547,1.354584566365712,1.436414771402846,1.411395642843738,1.1774562351669222,1.7358382777399124,1.5523450934742553,1.28213852908675,1.2798260134732335,1.1449467677796656,1.1563463766607835,1.2856895049870154,1.1693359426975503,1.1623675891203764,1.0736997182727437,1.082076031925546,1.1021604108304308,1.1614990120726811,1.098293128576009,1.0652110450539953,1.0944746327723072,1.0832034478264976,1.1466472223471627,1.039742386006886,1.0076982074702288,0.9986797820931266,1.0149547912258405,0.9269107598715317,0.9664469129440891,0.9387186739761754,1.0473631449053418,1.2750545411657235,1.9486351356686265],[1.611113006143763,1.5347704843993166,1.4375277045591959,1.271350875577184,1.2999927841447623,1.352902326920967,1.239028394194611,1.3020078672357762,1.2149467916306869,1.0935807338312264,1.0973570991895603,1.2138996416776624,1.1185603942876858,1.0492314251098003,1.0937956002599256,1.1390529143374437,1.0922588118675671,1.1307909814369619,1.2169274297983208,1.282966071130009,1.3565165584381147,1.498949517965996,1.5807586033698593,1.713562804446754,1.5903664024411237,1.3402064514636634,1.3094387587830498,1.2142405464091544,1.2014112259196676,1.1795923208944425,1.1399690872239052,1.2070668439359096,1.2289273183493539,1.238731197116829,1.2418337596119724,1.240960392957318,1.2678697674238926,1.3248746060864827,1.3461180444478886,1.4810720989220119,1.6083885882563036,1.443282253243968,1.526734700874841,1.7398584758123494,2.238649215260844,2.6939237728479557,2.9553040663601764,2.3031281006909397,2.5948578730437806,3.3157302946730796,2.1617396170055967,2.393658661438429,2.3372371164731587,2.1086296048565734,2.4454686005166604,1.8108391733700355,1.908604537273458,1.8837456555613683,2.2836900528165684,2.272221307961599,1.416175480476572,1.4109318486326479,1.3794693277040622,1.4529238889667788,1.5030941319253452,1.3506473981013418,1.2705265070256162,1.1920108351837904,1.193273150343433,1.1958339984099955,1.384023183911747,1.560245045210445,1.233675286960317,1.510201802264262,1.2181951605084638,1.3803543744267643,1.2744525137961331,1.2943498450948137,1.3277549292611357,1.4069703057153327,1.3764974150342124,1.4260977485522106,1.5222562605558143,1.5211051871004158,1.4185339928524445,1.3578759530375033,1.34573135063845,1.3589413495165423,1.2715776737162987,1.240752295676421,1.204693155791816,1.2417622199001077,1.187498835948419,1.1301043634734649,1.112776226115931,1.0997232962348578,1.1430197331983374,1.1813799057646437,1.2199710842831848,1.417033208830484,1.2931880770833013,1.373674224611948,1.3164256009865472,1.4534939707092087,1.5660960166584368,1.512641193601536,1.5369740118713322,1.5893822349541078,1.5049405918235617,1.4989515344196052,1.3994633804633194,1.2882768119505794,1.2304245700104661,1.1784879344347743,1.097599783034089,1.0756698704246486,1.1520952822079817,1.0973913146771763,1.3153368357606234,1.1106121871125696,1.0837813071609121,1.0272900702229828,0.9955478547204872,0.9873754251614961,1.0357359117802927,1.117851286860455,1.301033134860365,1.3149987614762149,1.386999418235606,1.4414783549668457,1.4886320384855363,1.5983099916631196,1.5322196513082569,1.5230158519460035,1.4500639737941752,1.3413891769610857,1.3172048310437219,1.2116965641258508,1.150031699494646,1.1434824456575716,1.270732022766857,1.4385318401720955,1.2706410371544037,1.2164730432716393,1.3062193654919103,1.238784770056303,1.1955355791908118,1.2011738214067127,1.2236487085138448,1.2237127085902022,1.356575995976902,1.3381977076562408,1.4509182219792578,1.7347098755987245,1.6357815072763513,1.371062741228575,1.2981718793323394,1.3504022263400801,1.2373374426506933,1.3175614521676036,1.2899132177382169,1.2775367374908935,1.2651438671601025,1.3443385910405685,1.4363188993748945,1.5368777257614752,1.4027932550514557,1.4943182896287603,1.4709402683451354,1.3172531558098475,1.3581593759496922,1.2888566584689838,1.368851136919415,1.3743008079582866,1.3566902651150328,1.3656972111495782,1.2771342931827363,1.4086316554729872,1.4045233394639793,1.4679537102146476,1.4891617627735567,1.4236139936366652,1.5331585911932022,1.6096008371626949,1.5301878821683486,1.4888999844283528,1.554386489803407,1.922344569550936,2.575919436266241,2.125830917643092,2.0004725722459025,1.757977893810374,1.7338884680588635,1.6257811866804563,1.6130442302447412,1.7113352456106894,1.6747823633573051,1.7032464140655559,1.696041677668494,1.6020723447549876,1.693853728083806,1.6215136669442332,1.5547458524564917,1.616894541610735,1.635151046444727,1.5687486638543588,1.5516060173974626,1.5966031538839514,1.6089018318538781,1.561008833301437,1.6053578316765993,1.6215151659565468,1.5793376893338995,1.6164999497741084,1.722666474105274,1.7355706086972702,1.6869047177241767,1.681503672350115,1.6449927181656676,1.6583189140895707,1.7681196805289765,1.825548574430131,1.8552914609378581,1.7963441451525093,1.8075920243043648,1.7850362797704697,1.7627528919614575,1.8977209691381165,1.8738898379747266,1.8588267290289848,1.8375555922544748,1.9162976871144883,1.8168798077611605,1.8712388594206835,2.1383870886046257,2.117698706749191,1.916732229065305,1.9064812401676186,1.776224964828155,1.72907576885075,1.7793280365421367,1.7547344979116537,1.7381357592167754,1.7470468809821738,1.7898673297132874,1.725676261007621,1.7075980725401874,1.6622701360800753,1.6730969662329565,1.6114271848495738,1.6020195632166592,1.5935688433605442,1.5779476071946887,1.6351796008848056,1.6086708097252422,1.5815090088596886,1.6403774468903691,1.659341181608436,1.6726927771194011,1.695863925947496,1.7006247981111196,1.6880231357522237,1.6824371876225912,1.6764089118426888,1.7070433694983898,1.6824074944883955,1.661819261798514,1.667414373888937,1.729457198334651,1.7015861088158954,1.641324651609259,1.7512416359367986,1.7795781652311933,1.7189522718236065,1.802497085588194,1.7015504756606448,2.1375840942344113,1.826931950820236,1.7366597792719964,1.6759713155122453,1.5963375397129258,1.5524042477397508,1.621606619919443,1.5472382702129792,1.5936014132289218,1.5803041746563389,1.5935904182795444,1.481377898484434,1.5268689737692323,1.3907526083919464,1.4420450122052189,1.4781074969710946,1.500078165278809,1.5159206735126656,1.417927080594719,1.4649278269566566,1.4505548911379598,1.3948376835892,1.395588633273704,1.4553036006768874,1.3910373910433689,1.4429956848396468,1.5566089197165918,2.31143364866953],[1.6842017877786717,1.6399656466933041,1.5195166894313341,1.44683038308296,1.4484207042088562,1.507943926758785,1.397425181216469,1.430136337163147,1.384989129459731,1.2896345324585117,1.296522824532154,1.3664794051379363,1.27194713967466,1.2490403624302011,1.2712328502393782,1.2861351606922675,1.254405619749171,1.2710868938110307,1.3342487162094543,1.3792210510969212,1.4398532652470755,1.555731117591611,1.6451541867362833,1.7542914954073798,1.6578493080326404,1.4176670972774568,1.392506740443774,1.3239125068846518,1.3207348340679077,1.2910306798663391,1.280447464428711,1.3172620264389698,1.3557030915153465,1.340131446385661,1.3385974362434059,1.3345571900604707,1.35447656551957,1.4159470369064753,1.4252993299976813,1.5403127392433646,1.6585224406779453,1.5019339583859261,1.5750760063065445,1.8324980259699597,2.352659985109207,2.8420737358531634,3.0196159480203186,2.4020584634452535,2.708806110881768,3.4067952225757514,2.1517772895365126,2.3798320972840004,2.3059579744523853,2.1268837637280957,2.4436930014019853,1.8461295278390482,1.9001111647822833,1.9394909099794266,2.3823447598769127,2.2590205802277166,1.4693674743537233,1.4823199639874531,1.4576460321894806,1.5271202833587771,1.5870103078620719,1.430560627019287,1.3632421382867932,1.3105472425593432,1.322093014467827,1.3196622926841464,1.5194885007026226,1.6584655254329257,1.3648785207372582,1.56827008661104,1.3484016252850428,1.4762101793482632,1.366410745498106,1.3877707870844522,1.4082959416087952,1.4758796649092867,1.4392652225991254,1.460837562687425,1.5579254295216232,1.530502941419162,1.4561456181970351,1.4182897355233652,1.4155980552355538,1.4185417588142137,1.3614045607611618,1.3420709763463134,1.317786239913981,1.371744615018498,1.3327895882779388,1.2731622193878982,1.2698680578554666,1.2705383519343425,1.3107281430108528,1.3287003687764485,1.3609278599074341,1.50271178569103,1.3806417370404134,1.4207631887635321,1.3650091745305604,1.451224583891078,1.5472820000079648,1.4778483454224602,1.4559325494981195,1.4959532097777362,1.4358646760547593,1.4569269882919893,1.4163040987538997,1.3394061443789484,1.3340519227574164,1.3102519041892706,1.2648449100673629,1.2363871562431437,1.2823289943169685,1.2011870880042992,1.431470970296996,1.2431343425670676,1.2327133035846585,1.1958788563124862,1.1739122421908168,1.1853210024465235,1.2390695417851554,1.2775206583743748,1.4092367414413098,1.3776575463848157,1.401733429377305,1.4147152793617135,1.440830856216089,1.4899537566379875,1.475387548941717,1.4723383759225124,1.4453515054983415,1.389179487790114,1.3788645629405587,1.3077098423802338,1.269043068369989,1.2465137314865444,1.342279669052083,1.5071253025877975,1.3561625358092353,1.306741402638184,1.380906487409743,1.336491456231944,1.2991708579817949,1.312327358805847,1.314802747454676,1.3236060246411052,1.42149469061775,1.4348246551172015,1.5260752695467388,1.7316385616994916,1.654930466461483,1.4556215692821062,1.395583108686638,1.4075289563850573,1.3387295649530873,1.3724923116647263,1.3514354897407026,1.3472590207464297,1.3400452253780017,1.4072357843759593,1.4845939909247878,1.585292405164354,1.4299772291640644,1.5069498241033599,1.476174110097232,1.3606825064638266,1.3906590729852044,1.3429339953105666,1.4145664605552626,1.4129340901290717,1.4027850415084244,1.3886990204065823,1.3514412560017555,1.4366725124343018,1.4385475405019439,1.4665109134634813,1.496686681716279,1.4135389480903089,1.5063341883043098,1.591079006287945,1.5428065635840598,1.5089161593348652,1.6037411496710252,1.8910773686699847,2.6195702832876315,2.1219540878947285,1.9301150581620028,1.7147181382232837,1.7018791527230006,1.612145795341205,1.5659561918033518,1.6196164749640993,1.584853902082553,1.5235803422096421,1.497891547460309,1.4645372933422456,1.462796819463933,1.4662270092128609,1.463566439559676,1.4671722099815279,1.449214019702791,1.4797579423173604,1.523058367081191,1.4752997396974052,1.4891323715455933,1.5437539373465625,1.5640133308582642,1.5417593449068354,1.5549722024893373,1.6158110439335072,1.691020370434512,1.7200122758488219,1.5572482632481777,1.548591748808926,1.4754285648552314,1.4680724020920675,1.4776054855448923,1.5175924762993376,1.5605309335175703,1.4861732003394599,1.4412840301874852,1.4179106395635896,1.4275783683631973,1.514942681402557,1.4834106319469593,1.5120633152151968,1.4646134974454033,1.533864596054268,1.3971078458734487,1.489525727954784,1.7897991365240409,1.6385968393614605,1.4742910799025208,1.6304051600532254,1.487843030130791,1.5034793753722688,1.5019248723497378,1.4708275060958598,1.493308913799428,1.506745455518339,1.6064586893603683,1.524899170870072,1.5064477292273954,1.4877378332298292,1.5353509712147284,1.4443771289168428,1.443540504408196,1.4633501751458866,1.4763140315460235,1.4583317310154504,1.4673044064621943,1.515925756972361,1.5385195707568977,1.509734495064688,1.5094041899836501,1.4813834582286656,1.4610132805897484,1.4092927775845407,1.4200223369295735,1.4652824829701157,1.417012790501683,1.3719541991748878,1.3894731518648942,1.376867845660256,1.3410757787540422,1.3460278457129309,1.354028092274421,1.328027937859658,1.3417582022963388,1.438299071897533,1.499963632426844,1.5311768165407822,1.9214184326253942,1.9291354768877582,1.7288198241329134,1.6935595975723319,1.5723519529392351,1.5982105116419547,1.7125916095203424,1.6433060842155418,1.646839783305087,1.6017353870697792,1.4882771397525103,1.4916493483717712,1.4680078734831263,1.4344253879112299,1.489414531905886,1.464845154095152,1.4544208170758237,1.527675288425907,1.4742347434413363,1.483504124737914,1.489374320908391,1.4931431528201964,1.4948730121385116,1.5194008790332854,1.4903002914941152,1.5391040680835812,1.7288191823457817,2.402575732496831],[1.1320496237816682,1.0595867463708792,0.935473806270103,0.7974930598032353,0.9297899149497793,0.9710308157748302,0.9782096760888734,1.0429463902251508,0.9692396858329418,0.9792849564889136,0.9995200056580784,1.0566241955431328,1.1189032845722553,1.0351828718806961,1.1328706813234213,1.195708765380221,1.2179934243392836,1.3299260790623157,1.4807845975969356,1.5548534556096727,1.6528103230543372,1.798496306862929,1.866209092099994,1.9815484184025165,1.862285688082047,1.6241211995102973,1.585245015198269,1.4468610499736896,1.3988507611396708,1.2987088347137323,1.2810170962333296,1.2589841851368477,1.2824840385901255,1.3767789736061722,1.3979489154101983,1.435765208409574,1.402007067674075,1.5235643098846001,1.5597335150470182,1.6814322577972396,1.848535173583049,1.7024312537544255,1.7719235885006264,1.9272253272941062,2.445379979926325,2.823132066151638,3.129551165203199,2.378343974266206,2.571656967041543,3.265691649748645,2.232197156238939,2.453483882302354,2.4276684865105573,2.2138147414584246,2.647061580839649,1.981375479652931,2.059986737365947,2.1603787478384766,2.4172642261806225,2.424246493673363,1.640089694680328,1.65826890905102,1.6394881793044631,1.7867921676119658,1.7970903083587197,1.6331958136387552,1.5454167821984284,1.4494352874593819,1.4665253140078323,1.3938722759021316,1.587288947489472,1.7855716984280035,1.4553545873697704,1.7924413357281614,1.4640231881580008,1.6344026987511824,1.5372601060126192,1.5138180168614657,1.5513507088955931,1.6385608602402024,1.5895057334781475,1.6063949856147468,1.6531316341382238,1.6924999913861891,1.6095672914246748,1.5431079289608238,1.583856997895762,1.5282640365264097,1.4892397844633827,1.4007606812772229,1.4007646435484988,1.3960533363776133,1.3363452116163586,1.2437732743968943,1.1910716000346038,1.1602228626177433,1.1526139476406818,1.1416148761268414,1.1193519670831567,1.2118827231625442,1.2186627984493748,1.2187857937350677,1.2865959609565503,1.3282108285944267,1.5216309806978,1.4196112846791664,1.396028929375709,1.4245801503438658,1.2718765805708683,1.2743214653123782,1.1721637817198525,1.1859789610553273,1.0931994864076702,1.134445134975807,1.1328262092534311,1.147529634786359,1.2775228410169988,1.301912123120532,1.5191177124893103,1.3183847450858914,1.225422880855561,1.0995031369550385,1.05633891898562,0.9901416403149171,0.9302615531342172,1.0225728715376412,1.0531849618246896,1.1714874535602808,1.2207090859420975,1.355724829682767,1.3519554517919836,1.4577553409688737,1.5300667126422014,1.508333667641041,1.4806400688627421,1.3916907020930407,1.3223403121497632,1.3012004777394064,1.30261216286006,1.3260043341780852,1.5064058368298525,1.758450488455799,1.5399315707429972,1.4597620572879706,1.5398572935975843,1.4185519031129001,1.331146071285136,1.2723571818344506,1.198189334959179,1.1161739645464548,1.1569348166786937,1.0971239820582774,1.1645696658920353,1.3382992009875159,1.3275202010638079,1.1620673679006577,1.1475838481046592,1.1891072615400473,1.1992979624898232,1.2689111678705862,1.3263594366788731,1.4129054021102487,1.454731357327402,1.5540923479047368,1.6343570693381784,1.758914821793732,1.5876624502453176,1.6858626465315256,1.6478522530857527,1.5379865481767614,1.504880936858465,1.4515531559417365,1.5185084669528275,1.4889170592307757,1.4681757194257958,1.4135511681982613,1.3673134740518245,1.4868764514177766,1.5371881411776613,1.5360981794030626,1.5703814036998542,1.441101619294737,1.5610818009781413,1.656113399172223,1.6246297483417027,1.628556771106579,1.7335269113467444,2.063914237450835,2.6660688586630132,2.2243024667738722,2.1810878183692495,1.932166522794277,1.8953153685475737,1.7271128810745486,1.6474756466407963,1.6505108422049037,1.4954905126146785,1.428959669448548,1.3253536165364643,1.2629457333434497,1.2684582764031167,1.223799636154815,1.17290887328254,1.1568908064488699,1.169071770174555,1.113696532517467,1.088593665220419,1.1397248210329127,1.1397011533358155,1.0812127379532512,1.1330201561926305,1.1499989751068331,1.0977024494466003,1.1436146845358017,1.3008674635123436,1.3621947426724952,1.2607939283055927,1.3348350253879537,1.2285333442821074,1.274936376188208,1.4126526147506628,1.454565947458172,1.5716104864449933,1.4815343308843363,1.4187164664453504,1.409207866161407,1.3527600624990186,1.5276705480410104,1.5246654970523472,1.4898006453746917,1.422698392736217,1.5996754479342061,1.4460153237544953,1.4670912758357129,1.8384351820517524,1.6847155155771112,1.5228031977310683,1.566608081862413,1.3564870272809657,1.402111672434513,1.4258310435526085,1.3366635803876874,1.383346176802938,1.387516719131101,1.473489457890657,1.3496220202034797,1.3084382521821274,1.2690974514185442,1.2703623089782092,1.1575189581225878,1.1402367242420466,1.1330407311733819,1.1190235081700894,1.1696294109001348,1.131507920182466,1.1650476453189063,1.2024026396932,1.2230683437033898,1.2448279938048565,1.2809401139896797,1.278269946697416,1.3059570961330136,1.2819459219000087,1.2576432479162218,1.3028497006049815,1.3101814731211345,1.2742341679823923,1.246578592650884,1.3676497805103625,1.3915107216267084,1.2723925250995005,1.3219648661752357,1.4821390129940708,1.542694770446684,1.5225747243726273,1.3298324475266186,1.9782584391613225,1.7875545482370425,1.5397746501383387,1.334738426616947,1.1678203335271244,1.1135074435650263,1.2529402478470517,1.1768582423335285,1.2277480478706704,1.1303107108664543,1.1132072910219075,1.0844250136669915,1.1854695819082428,1.1093270499818997,1.061563849020173,1.125393167576411,1.0972786700592394,1.1908942949242345,1.0523968102180157,0.9928282208862634,0.9990423714275252,1.0217310421701602,0.8987291550685316,0.9347175396348496,0.9425547027800681,1.084929576270357,1.329589813157278,2.0097096079729013],[1.0190095553842922,0.9617190997351356,0.8369071478724042,0.7098775950292044,0.8199677946304014,0.868409551271999,0.8638962965231409,0.9229115873719442,0.8479510356890162,0.8257245274162671,0.8422187617471225,0.9011812025343766,0.9218862485871533,0.869514143184778,0.9702840694967337,1.0147132869994993,1.0216154664954515,1.1141995878852242,1.249432108177202,1.2759073984738538,1.360368341606516,1.4632535066544354,1.5693601382987212,1.6878934801523018,1.5725833617048277,1.356464060063065,1.2956468231832878,1.2047989108240205,1.1546323537950889,1.0605765891545813,1.0671945620560164,1.0303662830112235,1.0584842094700697,1.1170367403329258,1.1149483646691576,1.1619622655113508,1.121181141262311,1.236855982986007,1.2485365112161397,1.3254009764489774,1.5225757729507223,1.3736414942981583,1.4202621450362918,1.6267386303501696,2.1646287921194287,2.573531437804171,2.8291034007082128,2.119498107122608,2.3936610269605825,3.1058605416118983,1.977234428425209,2.304521195481307,2.2761377920356782,2.0501291977372094,2.2805538850163507,1.6542132132006033,1.849684288989513,1.757181291827625,2.1249379410627443,2.188801781204411,1.322381203864607,1.3405835227943406,1.3322633329459213,1.4442226054723613,1.4782847710542533,1.3162388427305747,1.2715351612282904,1.1933262984499116,1.238572583566251,1.2308131786426626,1.4132325524380065,1.612613164232463,1.2693263099637997,1.5905354958666467,1.2245690515087793,1.3875497283182328,1.2531404718385708,1.239573074773197,1.247044262104781,1.314849319986797,1.228122746961337,1.2444524759834112,1.3416920276137083,1.3118266769967493,1.2292017312851369,1.1989572205175878,1.2367781851655866,1.2115739100247243,1.1943331605152774,1.1306690992150494,1.153341402635211,1.1911439943549418,1.138981400388012,1.0347835675099284,0.9984622237622454,0.9841451260183649,0.9915362560638827,0.9563515366461717,0.9431245044410873,1.0394095407351769,1.0081768012388712,1.028355960273172,1.0393793883369353,1.0936449550315057,1.2527620714962469,1.1960382017919697,1.1788850184011532,1.2154816836303428,1.084996818507295,1.0703605133712017,1.0115364975055565,0.9796810338839332,0.9324437240139776,0.9625184104717528,0.9505068439029405,0.987530533269701,1.1255321564499376,1.1270888721093677,1.3848352049531103,1.1243997731091795,1.087857537323351,0.9749401622008527,0.9567005434229887,0.841199289092373,0.7758382847638149,0.8645596163587519,0.9242636281137991,0.9994846172527901,1.038334630452556,1.117421035135818,1.13654662337428,1.1975111689299285,1.2112953821517247,1.1939668509351118,1.1869667639016979,1.1515428774074932,1.1297733289718876,1.1078437140149167,1.1365636473311271,1.1103879372579055,1.3222094348866444,1.4615773123908906,1.2921473835974888,1.2065014363499071,1.257055109234408,1.1718676528264773,1.120115864108053,1.0552628089142932,0.9753062464851464,0.9368665924661638,0.9838484108409379,0.9548797442039453,1.0074039720329009,1.216509695145938,1.1750226660131384,0.985654341072234,0.9686096200736471,0.9992631083892172,0.987864867951628,1.03921461573829,1.0728006027755495,1.1391602492404829,1.173365468499277,1.2200996697433917,1.2601016413894341,1.4524756238357444,1.1965585578755111,1.2597250245088776,1.3229056457571813,1.2006607978185717,1.1979840541639166,1.1760659830860647,1.1929590536919308,1.173115383810969,1.1560618169679293,1.1146320404280636,1.0873947946718039,1.1621359289674078,1.2019219960995533,1.1903166756033667,1.22582520077714,1.1324149042747644,1.2121382952745219,1.2602271877832705,1.2450949148195614,1.2463404564086618,1.3868268195462896,1.7381263891629755,2.468799807238355,1.879060259554442,1.822460375843187,1.6578544890044704,1.615666467492777,1.443735784330916,1.3213396108216409,1.348000221541402,1.1828320137379855,1.1585430789469895,1.1053234148405024,1.068260781162134,1.0679071794330153,1.0491231100122655,1.0260308792977713,0.995308309511871,1.0031981790728004,0.9805491239617816,0.9720930735958299,1.01289699214559,0.9959570196155387,0.9747639758792374,1.0119756814200935,1.010143261886933,0.984649653015823,1.0222412702410457,1.1767265701288927,1.2620662241564602,1.103156937374678,1.1443918029896505,1.0417480956540515,1.0642784216712782,1.1702504392519926,1.3082953220801021,1.3127338750923112,1.2905866003847257,1.147965355775563,1.1499164675564155,1.1092823809580676,1.2169780153841456,1.2321845245398773,1.2024163577135263,1.1530640577037676,1.3462790719539768,1.1782537788365914,1.168997703059885,1.4464397656536112,1.3344821168843257,1.2194574209546476,1.3151315182938985,1.1105170535711943,1.1298871663622079,1.1540965039601834,1.0892785518684107,1.168721296052988,1.1912394146020757,1.2932860862514823,1.159516819851279,1.1932720406656383,1.1196705472712773,1.1114589608611531,1.0065133348958324,0.9928011071159625,1.0048682502333925,0.9958206958858499,1.0147524118792837,0.9832953671875365,1.051136676119458,1.0565488793398348,1.056296143217058,1.0681856508085583,1.0946560742294158,1.0857636513221953,1.106475779126661,1.0627293216006557,1.0782888444590422,1.0906034701955738,1.066748851544308,1.0421022977415835,1.0210106465437814,1.0937429213792202,1.1280214197068306,1.0406409419303844,1.070315650924115,1.2170657288175284,1.2953346857199914,1.2931282995600697,1.151416502423737,1.731959890495074,1.7171109763203798,1.2822536296125782,1.2020059093134623,1.0559455356536103,1.0300300227064783,1.188985417897251,1.1104922991601154,1.1075405992800962,1.003786282512835,0.9607734000464809,0.9739607031631086,1.0436499807659616,0.9865323271034013,0.9697438168280448,1.0012646408480712,0.9863534977185371,1.0710834709586026,0.9541161950690198,0.8945251928946379,0.9071392211873439,0.9255835217448334,0.8060195411433215,0.8412092479848446,0.8674227234368823,1.016565861121287,1.2719926841159428,1.9325765997205637],[0.8745738806916942,0.8341477397428607,0.7221840589714055,0.6165710568831028,0.6609293278685099,0.7261632965437156,0.7117783442091579,0.7410341532653791,0.6940699587479835,0.6429116640346051,0.6553828073032922,0.7039055551008258,0.707541414626577,0.6837834250819659,0.7769557186986177,0.7895865475364093,0.8171208583818151,0.9085657879573755,1.0584147444654783,1.063973155519343,1.1588519052435102,1.2835144403295422,1.3877535102198546,1.5067449862256435,1.3934350851249242,1.173695566261761,1.0847609704469228,0.9843579303506148,0.922953836983615,0.817625131531945,0.8513502617993154,0.7867829358470072,0.8061829625001067,0.8913295783395246,0.8697861330806733,0.9190209974816044,0.8639105922023627,0.9826068713849633,0.9752772007798894,1.0596467284321693,1.297850240128342,1.156791209177926,1.1801468875007142,1.3259579954824328,1.8355165376242457,2.18074757980663,2.5502887487363366,1.7872907600095342,2.1546447021226145,2.8519631262873926,1.8968770622861642,2.3349241007290127,2.2448372642410237,1.9839419315624294,2.0557845776577137,1.434199725073498,1.819557112693708,1.4981019532942002,1.836660897796633,2.166171471373972,1.1961714537619508,1.1488288698241171,1.114677478652448,1.2556774375331137,1.2828345700703787,1.111656548310049,1.0774165816359584,0.9881187424799739,1.0541883530492115,1.1025556910763137,1.277796775204905,1.5167740136620207,1.1288741317778974,1.4545734370076688,1.0288456482186936,1.236762331910045,1.0406073394453896,1.0027277541306452,1.0075240137551191,1.0742319922488266,0.9626187828207989,1.0095517377979686,1.1429696477481521,1.0657806215590573,0.9703920550448695,0.9426996127498918,0.9833989638146691,0.9658088524331565,0.9576043503125601,0.8961610519524018,0.9389756005372579,0.9893092589656565,0.9388923484890506,0.8182692370850432,0.7863122192505488,0.7961543925130651,0.8332367184697624,0.7470803935676734,0.7203252414149658,0.8099363357140589,0.7682137905085237,0.8044862067262164,0.7815567606070746,0.8363544790331765,1.008309419369051,0.9839200603103982,0.9731813337935887,1.025419201607291,0.874965885628207,0.8418814577004249,0.7995555642544858,0.747488666821707,0.7215063695479959,0.7255958637899572,0.7246341469916384,0.7748272468046246,0.9296734705481235,0.9836159737284382,1.1977368713468002,0.9451590717602166,0.9390012190162573,0.7920872321095344,0.7938269556315676,0.6627577636090949,0.6106738833759585,0.6625256764511416,0.7453860117459394,0.7774095938818372,0.8108238516123292,0.8702573018697018,0.9129498220314233,0.9807747521074125,1.0239913620426266,0.9690809433666794,0.9552247406384788,0.9361329007789158,0.9414449828030499,0.8996160365195854,0.9318742567824063,0.8445135055404385,1.1028206917644174,1.2532574706505464,1.0903879356966546,0.9851165581177987,1.015818021879527,0.9100181589105745,0.8618686390599821,0.7956767695181719,0.7160076165664412,0.709489733612444,0.759002306682688,0.7473363614171291,0.8119347559137393,1.1008011637828314,1.0371331978338556,0.7636213196944753,0.7358956362409319,0.7540378107552925,0.7380395324135979,0.7850530740005355,0.8008919032609965,0.8772203332847606,0.9080506992064573,0.9582394948459768,1.0080667030367991,1.186996159882352,1.0260616256109085,1.185728357933943,1.325266166195366,1.0272498040999778,0.9916543132534246,0.9439189409953108,0.950534556635266,0.922560603842466,0.8928281293548984,0.8553725975982319,0.8344087884980048,0.890208035239967,0.9539226980891766,0.9396161972744906,0.9702430360015423,0.8849157553952557,0.9925393094704705,1.0551924660602423,1.0251553645483944,1.039714372989748,1.1651156516982868,1.5947240193887344,2.320165752432615,1.7648568215897107,1.9014623872279868,1.7850304190055422,1.6905863871612585,1.436867361034116,1.2389238194817476,1.240037027465805,0.9826036031180907,0.9876408896386594,0.9332790015746869,0.8699396828427388,0.876302012351141,0.8415077322583389,0.8266830797667207,0.8082354588539794,0.8128477401626887,0.7971714975725668,0.8144175378735742,0.8335012491188538,0.8142094803552161,0.8319595929498673,0.8772793009770649,0.871352970213824,0.8666537673760688,0.938666055554107,1.071522147592408,1.1651171879652722,0.9860256960481844,0.9930826278245366,0.8638808082281976,0.8844736662132948,1.0558293361689122,1.2191307878760325,1.1979403255448506,1.2165892239732403,1.0075659382804802,0.9872913054557463,0.9468715762744987,1.0668645860288923,1.1015657538781443,1.0457068112097474,1.0215747408040254,1.2487326860878931,1.0847025918733364,1.0380493833064128,1.3167746949395562,1.2845427320665221,1.1346815711230567,1.216320667447182,0.9616345600452113,0.9574784087467748,0.9867973035742751,0.9074547372130715,0.9930459141481149,0.9962437024818198,1.0945235199283825,0.9526053565405078,0.9929852786591018,0.9055841929689906,0.9087183880155737,0.8132305963040779,0.8014698161261916,0.8390398694601652,0.8235072160919182,0.8428308474980605,0.8150309245722672,0.931945308989109,0.9039496165755252,0.8862797800322552,0.8935374589083342,0.9029749907547366,0.8934486189566603,0.918424255190396,0.8818726430137324,0.8978502368943508,0.9146572013045465,0.9031078932734775,0.8764769244846429,0.8602575580744026,0.9537027069976141,1.0071123074942532,0.887322386975343,0.9539333623358992,1.0961620930396032,1.1867493048509654,1.1689219689341153,0.964851805906806,1.5892564332628212,1.534675371621886,1.0724296425857553,1.0869950750845974,0.9261640069992976,0.941557091698363,1.1357013766221504,0.986373462808476,0.9446625806966472,0.7785683436528194,0.7888200803504052,0.8064402326909734,0.8503620688237796,0.7870375365516092,0.7945610508545393,0.8022073674444874,0.7805081003561138,0.886552662041391,0.770813690507317,0.7088527282786676,0.7198290878031758,0.7522849804010981,0.6645767237941032,0.7136945102439809,0.6966309817305639,0.8841622747433185,1.2245360747485132,1.7372538289104804],[0.8581565039329367,0.8321688776671703,0.7252952865639551,0.6527629109768359,0.6002712933380807,0.6603454788115353,0.6164876339942207,0.6237091252437011,0.5939787457408108,0.5470340946006454,0.5713642839256651,0.6065703701520825,0.6102272343146675,0.6294631765313378,0.7130022507889059,0.7096828516484741,0.7516024736736797,0.8590914178412014,1.03451181149827,1.025655605007123,1.1220726510040417,1.2395108709672111,1.355686105008555,1.4583278864008158,1.3615915794728324,1.1444904759658774,1.0456119794705332,0.9377902500378155,0.8561297845053545,0.7283279576681353,0.789115185134451,0.6846638049856658,0.7098842260551741,0.8094539114475764,0.7823964756183087,0.8496092134971845,0.7658764772990826,0.9058873446472415,0.9008539775554805,0.9745776877570407,1.2529373644540738,1.107964133873642,1.1365820238805273,1.2959879857787224,1.8012103215084605,2.1250778962444716,2.495558640876211,1.6762596573862338,2.099194155650329,2.7362824077343593,1.8760322686402884,2.353213946548396,2.324861628192118,2.0661242636647663,2.0103981747978636,1.4044026057452603,1.84289026854401,1.4205284501113096,1.759990494819906,2.115015335740151,1.1597113559715697,1.0901856053423697,1.059495059659101,1.1976498880385849,1.2277880668075805,1.0600561512865905,1.0422323590435567,0.9495796151834233,1.0380191639247078,1.07337266129702,1.247200750863866,1.4854119304342415,1.0918373983101928,1.4151546573295446,0.9893622637329191,1.1981586446039272,0.9945319534795667,0.9538254260994591,0.9519109031056114,1.0260362020194147,0.8832892521878968,0.9241890280664645,1.1113505646382082,0.9896182300584072,0.9073275180194098,0.862168114766762,0.9091747259464704,0.8772167098322956,0.8978430407207304,0.8286875725321817,0.8842395172889604,0.9632879922239537,0.9008946976535408,0.755910113834659,0.7178493277439677,0.7381200765568057,0.7715901115856759,0.6569198423982269,0.6128428162296303,0.6768133796789727,0.6412263147407886,0.6596602424635475,0.65967590836726,0.6928397367228439,0.9339057656860583,0.8774273694516429,0.911536023921964,0.979051842415443,0.827674809532636,0.7658291340230985,0.7083636756280786,0.6243394375351731,0.5915794979001434,0.5860393289842121,0.6256534086328603,0.7102908148503861,0.8908380386991538,0.9704255946912044,1.2047585681339117,0.9199789071847413,0.9304322108375012,0.7685674180011458,0.786305318757173,0.6076201710594352,0.5196763938182296,0.5259567774886582,0.7007883034399213,0.6538931354435588,0.7072404335009084,0.783136270660948,0.8494460493834654,0.9255569872738176,0.9932518735605663,0.8933812468497474,0.8837774774807043,0.8616162337385472,0.9067432458299051,0.8050274388795542,0.8618497573499547,0.7767850922906671,1.1049619033152844,1.222639390556383,1.0723674815257107,0.9485379766043602,0.9670943933895219,0.8353292051408404,0.7810057186846723,0.6863157130048422,0.5836247963308279,0.5811666129800037,0.6253774721181026,0.6218152240280463,0.7111115274930534,0.9746560115084834,0.9455466397853688,0.6322121222672884,0.6111179812339418,0.6160816867288598,0.610812723922484,0.6605838410707712,0.6662600254828098,0.7699581871686533,0.8145710956294074,0.867796448667579,0.9238905017877109,1.133290629550202,1.0028537327785885,1.1859067845268112,1.391047399287967,1.0496596455557028,0.9568028009779679,0.8632875167688862,0.8610752454331765,0.8216719317421624,0.7805998330349562,0.7394268916750504,0.7249000927494396,0.7681891003658066,0.8591696175801058,0.8310868893187802,0.8747910329541728,0.7781805534222884,0.9064195133473698,0.9643763260139916,0.9511806659471553,0.9922547437953604,1.1030391610025785,1.5316144279337736,2.242703100412555,1.7267095981346168,1.9533171052079064,1.9838301769740239,1.811922906664015,1.5147223300617276,1.257014816222147,1.2321350374949458,0.8933044929381191,0.9306017981250518,0.9039509462614196,0.8442907172910907,0.8613032949875709,0.8197698829839151,0.801930768875937,0.8214879987981304,0.8220266311125108,0.7909741906401638,0.8228493092213718,0.8635169387387416,0.8131535408154357,0.8126452427296899,0.8586770873354688,0.8464933495339816,0.8293113637052749,0.8808405856934053,1.0133620033430537,1.1407187555996585,0.9866636691065808,1.0095883205740195,0.8906869989204584,0.8864306613962704,1.0308845936863054,1.3474179730756737,1.176593094820232,1.2827152869794383,0.9852145802682135,0.9413044788867512,0.908617737581684,1.0028888610323143,1.0476895709499996,0.9876839161149341,0.9982581952730883,1.2159097116252213,1.062648342419435,0.9827928489672489,1.2349152570284538,1.1591534622352448,1.079003446211072,1.1635736930178904,0.9349709655747667,0.9137801629873706,0.9369617258975759,0.8881451141723867,0.9977930129065256,0.9684752450251959,1.0500923741201376,0.9248379270444177,0.9932471122214248,0.8869617066878271,0.8604838205341967,0.8026567742216221,0.785375184365704,0.8209663970186032,0.8002037198371373,0.8188162840063218,0.7855377544573929,0.8935432732878112,0.8751376863188914,0.8618153916312419,0.8839862242684073,0.8905159892132656,0.8844279765315307,0.9356459565757896,0.8875097260224906,0.8971025657827079,0.917259539672077,0.9109774283790997,0.8984328003809523,0.886627073259009,0.9585263975726303,1.0221750826978102,0.9503329326916536,0.98355927303671,1.0985563286254787,1.184766680369818,1.1687785192100064,1.0242351970350325,1.5623143547905767,1.6118774594054912,1.083307966565049,1.0771361863218643,0.9541469199733827,0.9161302016800071,1.1177515272521135,0.992482358317483,0.9580624968308434,0.8769279243844343,0.8545226448968903,0.8021190544839017,0.8272179105076742,0.7092729325943188,0.7548034995155776,0.7350843692802327,0.7193287477111299,0.8131193134768312,0.697130953966303,0.6683860629900829,0.6713031580191295,0.6723727774927997,0.6432840193801861,0.6918664276011616,0.6667740223080618,0.8800573596203763,1.29274872997318,1.663693100924707],[1.0949190278538254,1.0572249452167966,0.9542722287362688,0.8389063558879658,0.8679433295278185,0.91991325481469,0.908670481048699,0.9399912782135421,0.896268713090028,0.8665076953648667,0.8844761728258321,0.9273468963795014,0.9283876533851643,0.8945179671450526,0.9708042454099786,1.0044787386127016,1.0197929276380675,1.100030296626544,1.2277032539270423,1.2223521012239893,1.294729441576604,1.3762017436650935,1.476743618076793,1.5661518240949512,1.4903544911273647,1.3088954036302072,1.2483529818208017,1.1830250017899282,1.1296921323067757,1.0297672520896297,1.0477992754470722,0.9990673012569398,1.0408387459274406,1.0699088381750483,1.0650268472478814,1.1051288301704696,1.0631057005146958,1.1919852251274603,1.1844735904955315,1.2410570919735056,1.4385181073274071,1.2896750919460143,1.3266132102291988,1.5628998828516036,2.069497119846239,2.448885061378845,2.651454365851677,1.9381996685576945,2.3103163928676524,2.9722311573735203,1.8809498965065445,2.2908325207505276,2.3489857146459165,2.1715417286347454,2.107899719639167,1.5506387169492406,1.8864645665237003,1.5776092038124907,2.0051746467920584,2.1097148116004143,1.2651279183242348,1.2566958738052156,1.241400588344971,1.3218374225811915,1.3712062477164104,1.2364331555357935,1.2195964462979092,1.1591275779676165,1.2255872681973778,1.2189594669026085,1.4173559526093142,1.5804451716941519,1.25625432351073,1.5160313852794989,1.204083566288085,1.3511690437935449,1.1811546048356238,1.1669938077459971,1.1557220117972835,1.21869109225228,1.1289207584560776,1.163790427361807,1.2499442533673137,1.1893634249319636,1.140660185826136,1.1179814952450726,1.1502794563168999,1.1389692306630934,1.1237848632710088,1.067583573963034,1.1033825626793616,1.168690894556979,1.1168450016100464,1.0004231303000746,0.9815267846966783,0.9757318631555343,0.9937557264062902,0.9651076586098754,0.9442239603792365,1.0318053024880838,0.9808753044424914,0.9737281394186434,0.9739246885836458,0.9913598893231139,1.1111507426275713,1.103727173543263,1.0800968360044276,1.1102872028080242,0.9781959415975747,0.9660473689351425,0.9543470965918878,0.9290201245838744,0.9257751064746756,0.9719013384294316,0.9749923844451407,1.0163986960353386,1.1264505894565486,1.124301858862948,1.3608836906737132,1.1201758725490478,1.1053314268683658,1.0134257298437457,1.011413889030588,0.8996108526341343,0.8418026413032417,0.9048046931102831,0.9610358928759097,0.9614907912479326,0.953056992373123,0.980802949327799,0.9878840284787354,1.010754653537446,1.0547479463273526,1.0379142920651658,1.0680466161542481,1.0943873755537756,1.0887383587716382,1.1287016243068226,1.1858737391658887,1.1366076254403104,1.3515896489582782,1.408178416522932,1.2817987063484249,1.207188461529161,1.210048082605657,1.1460423881445183,1.1065431899695044,1.0344073580150308,0.9434523662409378,0.9273721470420958,0.953060961770866,0.9551787221019036,0.9923551905481036,1.1919865296102141,1.1752271407781634,0.9741646327569006,0.9647002584651506,0.9576435939388795,0.955668231695148,0.9677234043169874,1.0094609324844213,1.099798103361563,1.1494985402945432,1.1720670876203971,1.1861850533238634,1.4270171268724001,1.1250961919585059,1.2192580782132105,1.3243740053322257,1.1871253285186347,1.1402433192957526,1.1460417714796491,1.1265239797542788,1.0966194916792726,1.0816073439471399,1.0196734735876447,1.0278987538123527,1.056296326898219,1.120150102252366,1.079587519235847,1.12260534991333,1.0083648206797173,1.0667788309937103,1.114071464323094,1.136461172566204,1.1753446355136978,1.3308591298073411,1.6395834268956717,2.4375379504988226,1.8351796399827816,1.7921011790000003,1.7249579220326874,1.6589435820645997,1.4416826414057025,1.212001457422205,1.1884617705953902,0.9347465891349518,0.951164139084354,0.9572662154694516,0.9506654145785572,0.9678166536825022,0.9748691240978747,0.9767269821693472,0.9857554300914536,0.9931483656669315,1.0028132883986398,1.0464035868803165,1.0771079420126812,1.0309502184534716,1.0399665053138691,1.085284128188384,1.0744254619119415,1.0447064896350313,1.0917322495098138,1.2215371818515042,1.3219011805017375,1.1937298463336956,1.2294706712303565,1.1205264783543516,1.110677153173681,1.178193384348344,1.475043541686472,1.2994758831873792,1.3098146976713212,1.0599040523025616,1.0246656013636186,0.9842102638534057,1.046051740702744,1.0955433268159371,1.0569580891984396,1.0220496064084525,1.2083440239777195,1.0722678389067883,0.997164365580518,1.2257223036905818,1.1333780228333448,1.0863341623268132,1.1449057068843889,0.9748638022138474,0.9473362421219752,0.9804561953121677,0.9677836024090284,1.0714148283120457,1.0823073241023513,1.1856951452112392,1.0559586475219038,1.1384482715796795,1.0602554226431269,1.0542564700014192,0.9860179896821807,0.9866016111589192,1.028389197702614,1.0245726475712864,1.0250462233972024,1.0104803047874644,1.1038450891761995,1.1035481284067603,1.0824859202284496,1.0940587146203642,1.0824224940555978,1.0577328015430711,1.0811955856585103,1.0641659960624588,1.0846878348434579,1.0511979386588859,1.0491713698972358,1.0686132376730801,1.0203868643362437,1.057814695947336,1.1532005228087492,1.1235392918777294,1.075974673380319,1.1873251048800664,1.3190772563840174,1.3410040124729161,1.2783784030868206,1.714913300436176,1.8259229066899825,1.3354674665620336,1.2814238847368467,1.1758222800724436,1.1302597828736116,1.281133495776243,1.223858552497968,1.2008483978780695,1.1368841589482679,1.0505381375561773,0.9996869318607648,0.9711496398355692,0.9523953150960722,0.987136761766293,0.9714282449021194,0.9659903258274928,1.0299976482445705,0.9619121216553507,0.9328346530004193,0.9392107013405352,0.9523587330128763,0.8850138272532244,0.921003193566757,0.9447669428786898,1.0958617022592156,1.361660982952917,1.9435186859676719],[0.9726411833048603,0.919589618027462,0.7687621555582507,0.6954139668080238,0.7785797705061273,0.8421075244569793,0.8579982131646744,0.8943854183600645,0.8530869363552889,0.839211421827205,0.8507869042241322,0.8957380909206965,0.9219047345494678,0.8828542639697348,0.9598992140980868,0.9981032196874796,1.0083049002888316,1.0699288272677614,1.1827794047637579,1.180955877842965,1.2291941961597723,1.3429819839869432,1.3909885839717118,1.4760438140615315,1.4167216659950104,1.238711319944868,1.2017863763104453,1.1483134354321787,1.1063463752954164,1.0248632416150987,1.0286839972569162,1.0018868722243766,1.0283631939880646,1.0689881308801517,1.0625096936347684,1.0899676784465469,1.0656591473115722,1.173430075681386,1.1664809816728647,1.2245577206543772,1.415471567270651,1.2510969611553633,1.2972043775116147,1.5229200239915635,1.9833171721797282,2.3343084110463983,2.55855238670977,1.840715269185473,2.253384583923619,2.9042783135065404,1.8652422166938485,2.3116253820329526,2.4142500188299847,2.2440147421288175,2.091401495262869,1.5563369968081784,1.9179219510165553,1.5109501195900772,1.9508238717383966,2.078590641450742,1.248163589225346,1.2202760690841452,1.2078609193578518,1.2611981211362642,1.3349513387194443,1.1992822688201212,1.1653056706408578,1.1202125952334883,1.1757607244076318,1.1873876752716108,1.3725284958909474,1.5176076066122186,1.2191911491358602,1.4536417270229889,1.155437769437626,1.3331265494916544,1.146860506070513,1.1413479447547028,1.1394535719863166,1.2008616388321849,1.1221392920203554,1.1589055057846205,1.2931093619323426,1.1976765263464517,1.1668142428943769,1.1155400197193883,1.1435677602373455,1.1586862850842898,1.110788357611627,1.0681434205486202,1.0783433792239134,1.1454930355403032,1.0813977167429276,0.9900453436404333,0.9679429931639082,0.9628121225796188,0.9708041024326436,0.9390709285790017,0.9194249119117812,1.0148102258376126,0.9788012062172675,0.9814914262950571,0.9768894986827866,1.0205569816800053,1.110022421167634,1.088383833662562,1.037490230517867,1.064998564876305,0.9205791781646532,0.9293922215512441,0.8957397876598212,0.9334401288524549,0.9124367888526242,0.9924672999734296,0.9832297330422497,1.0226423086490892,1.1280442549907883,1.1282351170408302,1.3062288579045684,1.0882059045510328,1.075446069387932,0.9961360357560487,0.9877332812853221,0.8932708615692797,0.8242091564161752,0.9326526712939757,0.8810727147362294,0.9664652242585373,0.9461383082463066,0.9888128904448036,0.9905914475484574,0.9899509267351039,1.0597688261967722,1.0525039873729019,1.0870701113829677,1.1305522090800961,1.1113025773101068,1.1412701247995563,1.1658292947756366,1.1197436607512883,1.2759716411355355,1.3303358881062806,1.2475195988236636,1.1867259596571398,1.18271974435525,1.1304166627890517,1.1083195315750065,1.0324805269514024,0.9499666523087527,0.9111649709779528,0.9297139215469853,0.9074065512421146,0.9578037638247995,1.2149188273216038,1.1549755486157594,0.9465902358108657,0.9330357184270868,0.9401472469253012,0.9448327286056487,0.9592202699719077,1.0280716495195663,1.104470678026974,1.1450026599632874,1.1712373811578238,1.1800477970834322,1.3954321832566996,1.121357431534352,1.201100495649665,1.3151010582641982,1.1666152120186633,1.140815151826344,1.1452525014784356,1.141556907505999,1.120463639607282,1.10189271382383,1.0326197049098567,1.0356650317022509,1.0564613424541807,1.1356251429386086,1.0988228110045486,1.1538757856886754,1.0335243555006866,1.088522219647327,1.134935972562302,1.1518052296572245,1.181640989216598,1.314015317898255,1.6266860967085783,2.3918034035536273,1.8324316247303656,1.7680113952229912,1.6758135226483755,1.610144130392049,1.411842533356144,1.1935742664012177,1.1756441181375092,1.0187244882165438,0.9640584073234544,0.8665733044437193,0.8447960151269263,0.8109801792063356,0.8057203093304365,0.8110500031967552,0.7617391775806,0.770364776161954,0.791272375078852,0.812323604237015,0.8399271881915596,0.8145562504530791,0.8524621738448269,0.9074510698774799,0.8951909685037418,0.8875754751038373,0.9612013120869608,1.10137820754754,1.2022234335517594,1.0316827842476597,1.062718861285566,0.9056795691276033,0.9051627189773219,1.0182472725126013,1.2838871819539133,1.1580838133541178,1.2223631621210789,0.922620084204839,0.8762194038625252,0.8451965477058586,0.9235958174848289,0.9702210428410187,0.9180597003420072,0.9164627073022406,1.1184055350556306,0.978101065349811,0.8986820007498703,1.1310713632596285,1.1194871462745735,0.9700017126222732,1.1184275731872915,0.863434825477782,0.9052636045378508,0.8930545642184312,0.8335993925532543,0.931286479190077,0.9412496345011075,1.0693955020904162,0.918560601301599,0.9666309125918835,0.8909562819271316,0.9092178590474451,0.7983321739825625,0.7971042856294491,0.8458014530624955,0.829174413729002,0.8379890331505983,0.8188817482142567,0.9324410595630407,0.9182910189771047,0.8936078363103362,0.8942700375285936,0.8778242380064254,0.8585662228470251,0.8651534947317753,0.8491957950084776,0.8681638191975091,0.8516466691198099,0.8466966079068866,0.8522513025832962,0.8064242645932549,0.8727193999918861,0.9737238971499957,0.893261384899034,0.8955284711456666,1.0091322597639292,1.150800339405914,1.158519814235869,1.067519658963384,1.5987306829828993,1.7296518433478751,1.1932446362846523,1.1734634194003901,0.99169076806341,0.973840908191253,1.1945411622998734,1.072461176516506,1.0507981413016412,0.8504298756993945,0.7696872173560848,0.7775134864719153,0.8348914311211694,0.8681810651529546,0.8217007364316405,0.8358814869046214,0.8051783689064937,0.943765174960668,0.8419937545308903,0.757386620221131,0.7820142086531947,0.8502739411915797,0.7349043556611765,0.7767483377689129,0.7839157633108055,0.9447627337961784,1.2584030743000276,1.8449153058526335],[1.048465128531135,0.9685710028538038,0.8570842776346564,0.7565463525309809,1.0001619532396517,1.0174047238855788,1.0286721999943664,1.0949263165232699,1.0088215679424037,0.9787695838202397,0.9829522783121585,1.0689328069162884,1.0747353836916689,0.9872068520835444,1.0655479047694068,1.1294093193168881,1.1108225402463263,1.1509418087522585,1.2164570094321168,1.2515881704432574,1.280885379893427,1.3915980583987386,1.4421876763373391,1.5245628693808222,1.475952083394918,1.2733120532628557,1.262275486280353,1.220426787057084,1.2127318576839883,1.1730689854397565,1.1454730925219716,1.1760594881099546,1.1970808603702543,1.2215082269684678,1.215627304947784,1.2203612986556016,1.2361540030498488,1.2959574830213882,1.295306610789315,1.3743356548844319,1.5092138131604416,1.3308825431467945,1.387137362542226,1.6358994621488148,2.088392595793036,2.478621985400001,2.658530122162636,2.017309006629933,2.408002823829123,3.077292817072405,1.9241216354976287,2.33088526443139,2.376846873490573,2.2177343949463433,2.199297127005314,1.6483312438409803,1.9008843306737693,1.6462235552744362,2.1299555566366988,2.103868818905175,1.301168217482198,1.3027744195289546,1.310187152629396,1.3265818844088768,1.392670977809243,1.2797730981743414,1.2139669272806493,1.191539768138192,1.2089247681190223,1.2319798807352542,1.3866652896740863,1.5156741671580394,1.2464686678661059,1.474525202940561,1.2229278690654248,1.3877386092023616,1.2399104679005397,1.2593560933246173,1.2687425287399232,1.336540937007285,1.2946913106392395,1.3121488607848026,1.4547053734738262,1.3781356331440324,1.3271357807250612,1.289069248669845,1.2841733381474132,1.3264246092067293,1.2372711832074248,1.2142118539562292,1.1919871680854452,1.2339057115290426,1.1806458459779303,1.1227805823592878,1.0960612522425721,1.0794024347959303,1.0759319018761224,1.1006630858954929,1.1020804263740493,1.2273207246511428,1.1942723721374573,1.235863627602303,1.219454604285492,1.2989776816390644,1.3818569626156494,1.3191354133684527,1.2675737148934885,1.3029453804026776,1.2027600353160122,1.2194315974390106,1.168020908686656,1.1774626977949314,1.1216726433317277,1.168021692193265,1.1087030237896047,1.10303478968091,1.1920781799438458,1.1169667770608964,1.3123895570665303,1.1274447539120733,1.0924173342745267,1.0443689999170491,1.0080823037943127,0.9572976678195,0.9480916953367823,1.0986763257309269,1.1066320694833989,1.2179353761593295,1.230459893457671,1.2572054331088742,1.273282343706554,1.250661072093738,1.2713614838189358,1.281995640182966,1.3010535447163993,1.3055862194582195,1.280212864890904,1.2437358845900564,1.1955162988490788,1.1879368866777074,1.2631742460985238,1.3469633525640126,1.2692545412025873,1.2358915320471737,1.2673610582176795,1.2445461263684474,1.2225127316437319,1.19426479886908,1.1619162747861926,1.1225652036856302,1.1680984362184077,1.130241057561351,1.1817109989120897,1.4208006980133039,1.3363848474920346,1.1699099790253058,1.1492271614196872,1.1852726195100478,1.1680095806934816,1.2074947636931306,1.245059389325241,1.2666898860406528,1.2636794203580544,1.3054158798913889,1.308157537337354,1.4676208647828368,1.230432956271019,1.2585727877027644,1.3394866515381532,1.2255627581465098,1.269142135237502,1.2595961361774795,1.3063422629750086,1.302382314808012,1.2958478661086987,1.2643157832149448,1.2465046763484842,1.286596240639252,1.3180305067687783,1.3078009434807814,1.3519854034762215,1.2734134213250898,1.3073389745171007,1.331165200455461,1.3341218504515098,1.3220417516518639,1.451570774522,1.6822362056573754,2.4835755743375354,1.907716808072003,1.728779389214544,1.5981950217106022,1.5544161425150798,1.4369945180716386,1.3280810372530203,1.3497093249050063,1.3172990861634843,1.2366637275678714,1.1421068583539529,1.1466527987937958,1.048754498167634,1.070458666444561,1.098948965319545,0.9718163425482398,0.951452997874762,0.9945882978111005,0.9473289117332545,0.9106007123906267,0.9480326077614275,0.9676258131815647,0.9674778339661546,0.9630297425553368,0.9769705112683881,1.0160500401189425,1.1367853841989228,1.1891865168289952,1.0188512454114766,1.0185539651088733,0.8855130509642035,0.9129801783765461,1.0248671562573382,1.2149062582268157,1.1634138724040244,1.2166521505046481,1.0113557360520213,0.9981370596866175,1.0293574709085016,1.0802420350857114,1.0528163352350912,1.0623705844032074,1.0781359223855247,1.1667651827695864,1.0218657355371141,1.0538925807554118,1.2426165742097834,1.2400652983803795,1.0498513414434114,1.2900727546117348,1.0599369945584,1.1598401281426252,1.1153656972433155,1.0496012417578149,1.1368545085985329,1.1464350005755146,1.2747450521723276,1.1570919589859872,1.1268532615992575,1.0989466185390397,1.155664921112216,1.0082974240373352,0.9902801062930606,1.0230881391490136,0.9959598408092479,0.9838392890563095,0.9693089658464153,1.0644105621594064,1.0106776015563432,0.9870876532040604,0.9781894948832731,1.0011748163700909,1.0095191694987278,0.9649663087897242,0.9240481757908826,0.9722977484714689,0.9573523889984643,0.8918308217336071,0.8731878762240192,0.8717386797428154,0.8969800217516785,0.9314875110029827,0.8215336021757229,0.8848945856967159,0.9445981916617046,1.0839163760099308,1.08728343529968,0.9512751750371363,1.560515693368614,1.6905134272064417,1.1733087025396693,1.1378678591098403,0.9485486209015467,0.9862645934811312,1.1471671010516231,1.0255085530407748,0.977977497664347,0.7461107568462464,0.8316603559998416,1.0805036037539348,1.1605309412351834,1.1731335960263616,1.0716042979195433,1.1097922345978335,1.063816474075273,1.1901654611490549,1.0798614306761296,0.9673054278848638,0.9939156086040282,1.0609922855228444,0.8862084261767925,0.9122424773606567,0.9426220240728473,1.074389349978882,1.3299831364956762,2.059785332474431],[1.000594210494997,0.9332415075481283,0.9028398445444243,0.7996039151737366,1.0975152873693375,1.0910382172948991,1.0996889979752185,1.1444882101164635,1.0711135597671884,1.0344827965701544,1.0275981842735937,1.1122601150147826,1.1067781046749872,1.0298556642337224,1.0952777548341712,1.1425521801677256,1.1095712071958008,1.1344725415561048,1.172662966295703,1.1906152506026861,1.2112207250052192,1.3191871005852562,1.368053443374719,1.4487192579511683,1.4115714495640475,1.2189494696084149,1.2046703930739386,1.1894364025425233,1.176473726629785,1.1543210076706074,1.1394425463477895,1.173440339495087,1.2000636836677807,1.2024497101970988,1.1951223346507367,1.1857984055016464,1.2138838832939607,1.2422654392545225,1.2366967813940852,1.2980957497589694,1.439027415423918,1.263972960168301,1.3138897201137947,1.5204729653493019,1.8962236743063445,2.243395119861002,2.4506488592290094,1.810613594533184,2.292801056455795,2.9256722807820816,1.8666266211353126,2.333012878972915,2.4243969463114627,2.270397466396,2.085893651901969,1.572712374155371,1.9453507553222098,1.4940238461150102,1.9926218304941923,2.0851545180831184,1.2961226865783202,1.2527901898262332,1.230258740615477,1.2467182340313554,1.3123716991915975,1.2170469818813376,1.1727190636563587,1.1530224753649694,1.1887425515616565,1.2110579864157882,1.3722166965528115,1.5320351294512844,1.2348736158692062,1.438753988497986,1.1935608075538162,1.4124465991129687,1.1915173471446021,1.210548893100306,1.2060567520574208,1.2650504638635782,1.2275275152629117,1.2721381424202567,1.4317501224905542,1.3150437964092818,1.2740920161947245,1.2399734985742468,1.2205350400494772,1.2809395200997193,1.1862873698132521,1.1761232077575472,1.1644055887695637,1.2311100534701431,1.177117372747725,1.1182358764717297,1.1025760199683408,1.1061617587162962,1.1071231799091044,1.1165566010174555,1.1242122397183587,1.240254705071502,1.2022101902761924,1.243701939816174,1.2021195970807537,1.2857119844709897,1.314284050794673,1.3018663131496122,1.2537628151163986,1.2782456131168525,1.1880563101339476,1.2039781965693839,1.1875756608276042,1.190591359325095,1.1576650866684781,1.1801426545293805,1.1216103196037908,1.1274531934299767,1.2024593067058944,1.1441956562927322,1.2706127706474526,1.120785923216597,1.1052549992015805,1.069694820839725,1.0381720308217852,0.9951468871115149,1.0081890358917547,1.148703157112232,1.18347129637584,1.2247887846187704,1.2360526113942696,1.2239962764547474,1.2223690094788895,1.1919080539271323,1.199877253214852,1.22900966261443,1.2363306622787953,1.2680384297293625,1.2509377418420045,1.2086434483477202,1.1663009008837946,1.1589719991061902,1.217373888506044,1.2470330779800685,1.2353343420631988,1.2104982000842612,1.204636888742628,1.2026496051891828,1.1934616699963063,1.166314800476373,1.1526278960837755,1.1533728004629975,1.197797957343652,1.1805184307429097,1.2249806747437413,1.4801566902524936,1.3576550940810235,1.1903024323923863,1.1658527437990005,1.2039846110213466,1.1600579212125457,1.1839397882611942,1.2131272923522158,1.2338116765165703,1.2170109501233894,1.251478557621715,1.2475945038419323,1.3882087865791048,1.1685282362542457,1.2164769344862414,1.3206149085040808,1.1898091346951176,1.2060713767370694,1.206315347317298,1.2449281369716814,1.2564173621955605,1.251350522708316,1.218055333656873,1.2059273314372878,1.2321368986687609,1.2677729261649764,1.2547904552226705,1.2970490772937644,1.227045965781591,1.245259812131535,1.267578157759363,1.2640978316982487,1.2686183992031952,1.3922988183106109,1.6345756410418746,2.4295257938226174,1.862285640137695,1.7217539705632605,1.615466272990813,1.5465842429276482,1.3980743648637382,1.2566238129989509,1.28325017332867,1.2256337004048832,1.183820547648647,1.1081001151613106,1.109074645473583,1.0239241106031858,1.0442085543734816,1.08617599709662,0.9629610522608086,0.934748984630906,0.9939012261891458,0.9607502139113129,0.8790431518542264,0.9367285465932245,0.9707512292511083,0.940465258881071,0.9280537570656284,0.9901967204334986,1.0212768677209239,1.1124579963468766,1.1667845889386088,0.9800313105607626,0.9293406667755579,0.8055792728929445,0.8344544137565195,1.0188379694982,1.230300824178643,1.159340822359536,1.2364423942263971,0.9885014897780114,0.9736957914123484,1.0196178970500602,1.0337158695229427,1.0350158921279722,1.0255883698337598,1.0618134259883696,1.1422273308769686,1.0436096645995157,1.028037333760763,1.1757537104233176,1.2638619963810325,1.02741912666485,1.2590882660682168,1.0345450509489784,1.1197360181235274,1.0710139742308418,1.022437977472093,1.0862524244759677,1.1099680522132152,1.2461422938637605,1.1215163656390301,1.0859717818273418,1.0672286165938512,1.1395477511416243,1.007315596681563,0.9994424155463517,1.039840832314519,1.0030240695439867,0.9926843759596081,0.9813075263244213,1.0822413743602852,0.9953122600557895,0.9678779193738315,0.9428166649238818,0.9627148668438812,0.9684904824680932,0.9005500620466015,0.8687209699863357,0.9237855380137809,0.9233683774458977,0.845803936324334,0.825575364941502,0.8576202559435933,0.8747973146294366,0.9039603970329527,0.7843245383807377,0.9010321941032663,0.9364753213342696,1.0812347143723375,1.046317468359821,0.8442824770651872,1.4294926882783165,1.5512929110085902,1.0021493361837448,1.0333843940977636,0.8920009262266376,1.006201611939399,1.126475817495169,0.9571954398249881,0.8062546557864269,0.6669469263478435,0.8262287062051777,1.1118038868655757,1.1423733140332113,1.2135138030992565,1.1192231871421896,1.1368741353059428,1.0882622861749938,1.2116311722082806,1.1265252078980181,0.9930466517398534,1.0200501253054777,1.10866196918408,0.9199975295486065,0.8995199350480708,0.972964433421703,1.0506585044682344,1.3290942258156166,1.9226244979877662],[0.8740702893138564,0.8136723428325806,0.7604685865598632,0.627198124478342,0.7890617321745544,0.8405091594462134,0.7942163886345485,0.8209935384425519,0.7704751899624376,0.6947634125195908,0.6866792968190992,0.7882266348090519,0.7356724224124451,0.6768821292593298,0.7394258141370315,0.7584707820800536,0.7572999065810553,0.7796352730404665,0.8633291775192536,0.8739363023805279,0.9398118909895288,1.0970294975499038,1.176062067388443,1.3039803983743217,1.1959329739814841,0.9616920781137005,0.904423841271257,0.8316098843226929,0.80209958550743,0.7713497096147824,0.7624729930775851,0.7873115484609933,0.804941961739108,0.8122047209044241,0.8037914294046714,0.8129631951769645,0.8119216407638928,0.8664668413085117,0.8642071750449773,0.9741665389289383,1.156459136769565,0.9612262946195047,1.01917220414079,1.2031538691902255,1.687909671313402,2.043954840488668,2.441501787587783,1.5956667994156963,2.125449445705659,2.775434246473,1.8722004417057432,2.381740861260747,2.3750184655532505,2.2007327448520724,1.909394726302547,1.3891578906077764,1.9403092452481905,1.2754741540701164,1.6805530683280645,2.08321661710745,1.1312301894486132,0.9866915461634393,0.9370489694223609,0.9898447884786573,1.0596654452466865,0.9378557221440752,0.8889018088211961,0.8080482533110221,0.8756722137199009,0.963820757821442,1.1000659221196387,1.308394074304281,0.9509727485619083,1.1781528364844693,0.8553130161937073,1.1669952580597354,0.8672644203708424,0.8515799558246518,0.8592225066182132,0.9333644506864303,0.8696756766236281,0.9230307359680561,1.16556490789677,1.02088932433636,0.9736046266158132,0.894110174261656,0.8709088437243284,0.922377056346788,0.8251503231529448,0.8156748668119099,0.8046659153006152,0.8969415462495823,0.8379921666420185,0.7461617807633595,0.736454214890542,0.7735495885517853,0.7895107844636403,0.7479787518098584,0.752721685413526,0.925036618066634,0.8213168767897168,0.8911667866801304,0.8231903763279226,0.9270492238777136,0.9958545760335342,0.9940825399591698,0.9876855637708498,1.0236712955791563,0.9054546288641763,0.8876117649637404,0.8524847795357852,0.8280092300070169,0.7901628850219244,0.8078379802331762,0.766846862356997,0.7678717316365569,0.8441977216799398,0.9170095852388168,0.9686722516749289,0.7862558178043676,0.8120193853065931,0.736242378717684,0.7299271156998538,0.6644783157549341,0.675606011586687,0.7778503083949879,0.8166427113277956,0.8513312359757959,0.8825236214185905,0.8970490920247756,0.942744637474863,0.9532108389741556,0.9905415591928198,0.9691128207164459,0.9693242941992771,1.0190851315093565,1.003841639879867,0.9503746564044119,0.8982862434472266,0.8474156150321289,0.9897877169686091,1.1050653820386749,0.9565815096193936,0.8927436346585375,0.8939442868113499,0.8451704563153012,0.838301428045958,0.7960814290200902,0.783175075206875,0.7723545587141519,0.8557635514789267,0.8324411528097683,0.917642567236915,1.3078600580312618,1.1754823570531658,0.8641437682659027,0.8077914257441179,0.8412210936419201,0.7841672290091579,0.8231478778603839,0.8359526486006494,0.8908448642035395,0.9025925026486397,0.9432266201734772,0.9716985033606361,1.148554710609596,1.0026561302787418,1.1505905199831625,1.2959701206310623,1.0590477551899566,1.0012915548526342,0.9480504953297777,0.9586677787767293,0.942399162055287,0.9160665101620885,0.870474322221929,0.8559522248149286,0.8657944574907722,0.9676900308919838,0.942355831757924,0.9757446954499769,0.9081686222387734,0.9791843221301542,1.0305392391486126,1.0237456337806425,1.0434081593466173,1.1310749586383355,1.5487325424617229,2.265204694473846,1.7224732099857871,1.8104371578172713,1.7073903489718487,1.587716633184887,1.3667301880310299,1.1528664544192893,1.1706319482016754,1.039084194780835,1.010199391045626,0.9538319071982024,0.8912031016964086,0.8872165669321427,0.8472237773210762,0.8450967111501285,0.8285500340931298,0.824720913655427,0.82827790222776,0.8448051697921863,0.835641782163187,0.8576802865844679,0.8969542349192876,0.9291632047405237,0.9386435145847453,0.9664788335850877,1.025935202953,1.1378088397932076,1.1806812500533892,1.0452835645161074,0.9843484878399736,0.8640650563881027,0.893334822989643,1.1042827360595338,1.2324511398444546,1.223337272929686,1.2679060133032185,1.0304094154927728,0.9755869184667283,0.9641556026927844,1.0183847087633262,1.064653855346709,1.0134756875359312,1.0326008633372794,1.1707243696007459,1.0748815623532215,1.0193981303218513,1.1799712494429149,1.3215372112556916,1.0917501683143989,1.2143425337641542,0.9700565910892653,0.9630319931249386,0.9586105613233646,0.9079664579306445,0.9348919532953943,0.9687709276011846,1.0494815707612906,0.9278449664701096,0.9440006008902914,0.8839843368381934,0.9217248729020531,0.8487865470255012,0.8576949235031155,0.9014796767446228,0.8812190476020041,0.915143574843996,0.9020867620074411,1.0256865133404678,0.9524794914905664,0.948085056994429,0.9283170365481148,0.9210344334334732,0.884948586634798,0.8695725622664856,0.8835111422396533,0.9065832667344744,0.9020837180303641,0.9008273815680278,0.8829785804214628,0.8800496800358807,0.9437122666815971,1.0225807329965342,0.8699092476983615,0.9763355550239373,1.0415398229300716,1.1824321902613804,1.129375751826696,0.8818363978793692,1.4365738891841058,1.3668100486322545,1.0014010397198294,1.054706158027234,0.9291785489945269,1.0028375294587577,1.1428744576641046,0.9556830151696731,0.8932505950006332,0.7199979981460672,0.8054161602917856,0.8610130988111504,0.885209151701659,0.8619498100764792,0.8465956786697371,0.8519481210804946,0.836637218008584,0.9312080437257212,0.8475652947084286,0.7809083248508103,0.7824967781807715,0.8256575314009474,0.7118414243208194,0.7347612025323164,0.7470252697058004,0.823215894394911,1.1847957722773776,1.6253203897315156],[0.6593048568197144,0.6127109093739903,0.5037522819514212,0.44324329659564,0.5594268185241521,0.6832162233958656,0.6693557372627401,0.6693148301615153,0.6759606336379963,0.5932321428685587,0.593763033570258,0.669091891377563,0.6063334025257409,0.599488934964557,0.6458531219820554,0.6342714191069473,0.618543548489608,0.6290715748666725,0.7071326582592677,0.6992385804964132,0.7503371119973654,0.8900775315106266,1.0032632900790681,1.1046753584462354,1.0355103281547247,0.8017730042516527,0.7274036855264421,0.6619036998012207,0.6322473302446241,0.6053225026806123,0.62773335033352,0.633853544318448,0.6612149112068194,0.646009335014668,0.6311189578252471,0.6394841364130285,0.6287476185331785,0.6771732778924912,0.6469490327356171,0.7384094925878911,0.9541866424525404,0.7814194366250777,0.8146075579537013,0.9867573784346666,1.5312562093135813,1.8915618533074359,2.288163370751304,1.3402099941248986,2.076591626595033,2.613992691295022,1.7964875996315042,2.3565775501352983,2.3771889918678424,2.2127695154223277,1.764050083413159,1.2187166703199408,1.8645751238352355,1.0825989952964774,1.5557415730825377,1.8649073539493703,0.991328047920735,0.803106123872027,0.742918700737971,0.8030387195375956,0.8744384432611699,0.7428966154085263,0.7413339163251806,0.6533503189980259,0.7605194261641616,0.8616001042203011,1.0079854457473107,1.2274739416907947,0.8784397773777921,1.02860772043976,0.7403343727109091,1.104977573922201,0.699695376795845,0.6881035029078301,0.6784238792260635,0.7538370612636612,0.6532937834245222,0.7098697683368491,1.084217751539838,0.7761053425510654,0.7612226043233655,0.6858230263784175,0.6615280263114617,0.7403801480820139,0.6418458663272922,0.6577374152015906,0.6468223607059217,0.8103469333663703,0.7385440916648023,0.6295240744835744,0.6261717006126656,0.6830945944031002,0.6865967794198008,0.6158016069895594,0.6181111148603741,0.7894720287212845,0.6627208170673667,0.7141701920653349,0.6239482361209769,0.7114149363874411,0.816285363168024,0.7745526074989812,0.7897439439277044,0.7757166855569125,0.6725397674842104,0.6787446742262976,0.6347751632171927,0.6212724967403453,0.6298693904069014,0.6298286917916477,0.6263041615593303,0.6321649822365072,0.7175164947101861,0.7711600647308594,0.8054035379067597,0.6530866203049697,0.6953943009041105,0.6380229030925069,0.6360080759439398,0.562737128956788,0.5789971784251573,0.6199638288814239,0.611371620287109,0.6404683601996183,0.6351445163848244,0.659699225884714,0.6607424312810758,0.6672718319789427,0.7439986106929412,0.7248487537653164,0.7210667333812314,0.8145833951404494,0.8120411395656957,0.7015157060105138,0.6188529555472835,0.6154359327812859,0.7725425272214567,0.8846660846843177,0.780760531443724,0.707984586497086,0.6894634332067477,0.6406172395243948,0.6409534107477769,0.6237176300586827,0.6059622930254757,0.6267417085285871,0.6877237894454381,0.6855516075945625,0.7622175419062475,1.2327434021055326,1.1064815245332866,0.7104161019074745,0.6566260060329561,0.6720126229070114,0.6157868421591184,0.6202044989433829,0.6089817294776955,0.6678038720878106,0.6648740447026854,0.7066985698975694,0.7068045112409606,0.8782166642192772,0.7751771204718976,0.9892464348974189,1.1609059446118979,0.9164348774630638,0.7576602207459189,0.6895456313153114,0.699223122329442,0.7059932578964613,0.6801401915415327,0.6518064120120011,0.6544950755805935,0.6602685913291916,0.732026989686962,0.7053516852788333,0.7275780176154355,0.6716498151493724,0.7146958152276158,0.7870479652335183,0.7881964128088086,0.8528710780064576,0.9690366627852484,1.3385211361373335,2.152322276757416,1.5564454298925814,1.718818568034778,1.7348106008798203,1.5060969573009517,1.246138179623238,0.9271203459006041,0.902343034573955,0.7512258160923145,0.7036120994887844,0.6575884946161238,0.6209392936366022,0.5732786888802588,0.5498670245639131,0.5570658702535346,0.5182145871063059,0.5248644991503915,0.5548226440807899,0.5664723866721028,0.5864992563855855,0.5942322332236818,0.6636830010299877,0.6954471142616534,0.711677645458235,0.758838023124096,0.8272620640018972,0.9496260026127257,0.9987324018638438,0.8714076497255866,0.8107222078889332,0.6425774372377662,0.6536889329019104,0.9015966320567829,1.2878447295823248,1.1189199447064002,1.2477042155760645,0.7855546255089955,0.6839862844340152,0.691185858483828,0.7180309918924882,0.7788992771548674,0.7025051228837873,0.7883927163017616,0.9536561281561065,0.8874284922281014,0.7455136212405896,0.9134809663020441,1.038284531427586,0.8542387495845807,0.9530354969193198,0.6836118395988133,0.6703114633504417,0.6618361636912085,0.6301439252449895,0.710965943574489,0.6899512060526545,0.7976418739077349,0.6555636633669895,0.6895128706612597,0.6206412203550488,0.6458451735017675,0.5611921742781267,0.591174028312355,0.6739870303519546,0.6262709468582001,0.6541031604020312,0.6604680532325831,0.8150958658272857,0.7333177264377531,0.7123602287319502,0.6781414507978837,0.6365376451391582,0.5954317176765588,0.6065982398393763,0.6205034610803363,0.6344334443536657,0.6347677651947734,0.6510742988304122,0.6477831503149162,0.6204212336933809,0.6920324285760773,0.8141418304121404,0.6794564313114874,0.7648064404763447,0.8403694120174069,1.0402250555307069,0.9781619144710214,0.7594819389938102,1.2583242391751124,1.3263655971609056,0.8986924034959572,0.8931151631531375,0.7312401373834363,0.7605762055829743,0.9406689516658275,0.6918316196610864,0.7413057230808766,0.6022449452094079,0.5809806645391392,0.5787238209740372,0.6026580999594424,0.5845977693304133,0.5718659517123622,0.590420800679407,0.556618714451981,0.7334378818454291,0.6173013120248679,0.5087664046531388,0.5414917750157098,0.6363693657272461,0.4994644059866417,0.566873055490548,0.5726318506902316,0.7163884857555731,1.1851849775132244,1.486826499575823],[0.4724003571790863,0.4421467531679914,0.5196132158868352,0.3094680560967459,0.4967010967187756,0.47580974276232907,0.437883422481509,0.44903504934830174,0.47712649252024375,0.38063671679198346,0.3744479310634397,0.49848556285851137,0.3897920946646921,0.4111127154544206,0.45050885291090753,0.41605120845747573,0.43299333878676877,0.45312084766983046,0.5874226807258299,0.5880474585939014,0.6725111281076924,0.7936810622168033,0.9754488517039824,1.0746050093112516,0.9999884354154811,0.7541073363503128,0.6217663337496795,0.5175340045656156,0.4635444025214982,0.39962498078029096,0.41918263527893557,0.4378232181002171,0.46167560016746284,0.4669339546389975,0.4255013525105661,0.4618980019460338,0.43352667342458434,0.5071198035004608,0.48489715554624563,0.6036527903259356,0.851104443014138,0.6649809151131544,0.6761624076919622,0.8348917124911297,1.4563750633688672,1.8694926159299974,2.3133795404498505,1.3122414588119642,2.110405471405154,2.5960840382950665,1.8390024284284063,2.401331312397358,2.353045079130813,2.1804503052728714,1.6329871611430458,1.1234548190783995,1.8734725061802853,0.953113419718146,1.4522513056715285,1.840688333233369,0.9815190765933695,0.73063385100297,0.5985885593215793,0.7338800311176723,0.75686127713341,0.6492612789725264,0.641816319633568,0.5226278214716599,0.6466883018705648,0.7726505034995788,0.8575268051522137,1.114475951235284,0.7636300966096772,0.9046871476305883,0.5871065484973238,1.0088038869577203,0.5494259298299069,0.5082406088460303,0.5122944998153616,0.5973603761609689,0.49237523284196083,0.5626419957330472,1.0516960080213025,0.6278847697790052,0.6263431270458639,0.5169732136194204,0.5016003586070673,0.5785403715316664,0.47348306140889,0.4946238468057798,0.4865583289882721,0.6570383217008718,0.5606446171370046,0.4272627079969511,0.4193453800989036,0.5064349397769755,0.5271771385970696,0.43910744069308627,0.43737935153972735,0.6094075489339219,0.46781219062721463,0.5523910142293158,0.4536761969409695,0.553433135411616,0.7041584299756363,0.6021264553194737,0.6671229796504635,0.6664258186286677,0.5692181326866481,0.5545031430026288,0.46756273891982836,0.4414276495065017,0.4167384464687837,0.4423896406167145,0.41424471126581497,0.456183238445573,0.5864451220951821,0.6517152059504648,0.6525273737630839,0.4949899778234848,0.5541146610144984,0.46149667443120834,0.48784583700389544,0.37607812861028656,0.3686271966830369,0.4509081031508744,0.4649380226119694,0.47898359208034735,0.5149580016829598,0.536742579375968,0.5779980055979671,0.5968161872541192,0.6595340178038558,0.6121243276427448,0.6112001165450268,0.6806194268955866,0.7320225715224788,0.5707375422962865,0.4692425347014207,0.4813614644287768,0.6936677920879294,0.8512573947349162,0.6513142834574105,0.5640930744455119,0.5597897486842808,0.4624543314890373,0.46258072731232946,0.4410574269566715,0.4126896740687379,0.4244606130066627,0.49680252349668025,0.5009321522045501,0.652739948191538,1.1915176354288988,1.0290470617681755,0.5272945209735262,0.45590686663379926,0.4693656627376021,0.42515709794575535,0.4666975520835437,0.4396393625162799,0.4861700536932905,0.5088163647949744,0.5570845650295565,0.6011398698159232,0.7782944186863524,0.7308599856171233,1.00077448604791,1.1674950703918003,0.8982545246293671,0.6881201978064309,0.5737765854643635,0.5709511599085818,0.5610358577319423,0.5159189181655387,0.5041286330352175,0.48873518867057547,0.5086720963429024,0.569472423065386,0.5541461054192054,0.6064834710627193,0.540107174991309,0.6062269586142224,0.7033946100402144,0.7015222115889015,0.7900537999843225,0.9040254194579932,1.2876157106742692,2.162836010474481,1.5275143192369816,1.7544801015940366,1.7589065359912714,1.4972659614187025,1.2141348800044591,0.8791528675995153,0.8791419661580337,0.7254143460148087,0.7045228659525744,0.6787025496097563,0.590503231661362,0.5947557564907543,0.5189411784411211,0.5017478330801809,0.5520728411899009,0.5565643347478216,0.5495975639907681,0.6097479564185316,0.6377161111865898,0.6406561357825601,0.6955583114107188,0.7449765394874625,0.7887239049895151,0.8213001170990607,0.8943302651268288,1.0127270782653863,1.0258680037922743,0.9503768754702802,0.888904530454128,0.7406189268587966,0.7574604949708175,1.0288222377614615,1.3387520836512699,1.2052656734054943,1.313740012788704,0.8588487863706196,0.7553259430095446,0.7456300955452445,0.7665102705400615,0.8701393402022235,0.7618369181086522,0.8382327041094083,0.9858184327653507,0.9685054254094668,0.8047704699296553,0.9121085653867335,1.1500420452426836,0.9254838871669334,0.9797427820472372,0.7235713711571337,0.6466084010176271,0.6633086791723002,0.6392074550179659,0.6856224238275086,0.6883932706555472,0.7171436323910259,0.6096178988186948,0.6566642893547099,0.572495454079611,0.5837726495483905,0.5479393513534437,0.6052458211081141,0.6762843920227478,0.6501093497726393,0.7099770623458165,0.7226476539197824,0.8724736274709859,0.7858020647507572,0.79984799628212,0.7561082839854559,0.7028329778012082,0.6248909774855697,0.6355836803753234,0.700562141702274,0.6861515846780722,0.6878915919717984,0.7372766992784957,0.7433287887399421,0.7033318703714038,0.7802187812123306,0.9215855943199331,0.7701877574929,0.8642847214402853,0.9234800265900797,1.132894290227235,1.031207848660736,0.8186272540675655,1.1911749876346045,1.197314447605216,1.0372700576586307,0.9234756148750338,0.7791353543365682,0.7927175300518109,0.9011736421802016,0.7298682656152661,0.8081780880702928,0.7019970880831184,0.6691338009835075,0.5922653328599461,0.5793044923311573,0.5086247776703583,0.48779488281163924,0.47399606366197466,0.48755696221728484,0.5971127616372786,0.4621205850915701,0.4777445146385856,0.43335851275449744,0.434594060682422,0.4033119715107621,0.5247285270879419,0.45685922503864623,0.578066241254984,1.0380819330592381,1.3555131104530596],[0.3656181784061591,0.3356476398124458,0.3898989844828986,0.1362587151822124,0.429829204203338,0.42174985454422725,0.44776044503717316,0.4498036151110833,0.4766891884307639,0.4071951334203677,0.39798367970905857,0.5140060636986574,0.4106174158084983,0.4147467699573781,0.4261524789273354,0.4050375561555589,0.413264074850037,0.42022656399074204,0.5386808040001477,0.5491433229089899,0.6121767149588225,0.7139160101760527,0.8866926424716898,0.9556416403442688,0.9511394000571752,0.7038015044302041,0.5754735429767918,0.5020549607119648,0.4641907982952231,0.40427911673004246,0.4076091732417753,0.4459868366414164,0.4525018053573874,0.46054830885837805,0.42141273126855194,0.448366429326965,0.4469317717943115,0.4891554794271614,0.47467503463350913,0.5846769268496688,0.7686899558826985,0.624481254561277,0.6235117571474125,0.797637536022253,1.429775488852911,1.8946270741219453,2.2939983570030296,1.2707412709892338,2.179401936530693,2.5588257873124918,1.8811273727677529,2.481061357412702,2.465781825499901,2.3529517226982657,1.5614489061114023,1.145184183948791,1.980696296170779,0.8767038853808025,1.3870793750021193,1.7724826780184368,0.991023332482202,0.7213454038858597,0.5478675354953676,0.6932164570413264,0.6957053334071714,0.6362753606198719,0.6028011229062225,0.4970872637619406,0.6123747527920732,0.7489219759916478,0.8271207759058579,1.0713121784760509,0.7649513170731748,0.8202602541126117,0.5397259191837511,0.9859800905276993,0.5034689795625131,0.46370588513799044,0.480314522085748,0.550609711747369,0.47015181903360076,0.5743586872435125,1.0690631949147613,0.5654794182543335,0.5949289087755366,0.5029624233914514,0.48632256627900156,0.5688204190723394,0.44887040857523625,0.47195427276194857,0.4811182482629414,0.652737969633447,0.5339745225172707,0.4142548567169403,0.41049093260816033,0.4687824517343119,0.5109918084194734,0.4470117079860864,0.449031743160329,0.6123934849239641,0.4806266548387463,0.5705505806844448,0.4522261095363748,0.5311715792454236,0.6803437324164568,0.6020872405511078,0.6793367861319963,0.6349096023568342,0.5779844416049926,0.6050943791137184,0.4860883275769906,0.4773745282751478,0.4403927422737472,0.4426241531498291,0.41945130937495456,0.45049568973132453,0.6083766673711006,0.693540841285958,0.5843408337140916,0.45737154110960504,0.5116791509811438,0.42860743434260273,0.44345182459489096,0.3844213629447845,0.4053264838110862,0.48192061669540504,0.4260031494051338,0.4921140034770419,0.5184764738239396,0.5687230650852764,0.5581351203094618,0.5680551125414942,0.6417622959992569,0.613060887989059,0.6129185472216193,0.7054547357914173,0.7811534563190243,0.5917320406189666,0.5002285460855742,0.5130864590579769,0.6903758369257011,0.8109218161462015,0.5942894163198243,0.5412153362337935,0.5322110480090096,0.4551008229365586,0.4599743140992184,0.45379638404710115,0.41262820706479136,0.45505676670981493,0.5132521873041592,0.5071847618618903,0.6346252857048894,1.2014573415588399,1.0464945307520381,0.544400301622671,0.4783096229316491,0.49105633119722375,0.44359538570887236,0.48229362576482676,0.4507073945386279,0.4933723898439339,0.5335385681450732,0.564845359562569,0.6052920291921262,0.6907166868499997,0.7214343619313043,0.9722007617852568,1.1222942827329465,0.9364375641325163,0.6952423387272281,0.5762629834215931,0.5800039660347238,0.579520688548128,0.5206228773673043,0.5181197872648312,0.4997519388178569,0.5377601786237246,0.5613167282479917,0.5506095297181699,0.6243653634801335,0.5487033210339298,0.602368532981854,0.6856824509398594,0.6934644516300983,0.8159201035033175,0.9416628144304424,1.2517264339569611,2.1286224969738856,1.4291919407363305,1.6527200154033896,1.8048975399203389,1.4405843157351965,1.1688102449470308,0.8175485140045079,0.7823443521876852,0.6707669845452836,0.6173422873127596,0.5990888446110746,0.5645253258655776,0.513587094244018,0.44875127019214794,0.4582659137233375,0.4792150993139526,0.4592031564071618,0.4391855716178211,0.516692558611077,0.5350057019587943,0.5017236330834388,0.5482865944563107,0.5959836379680106,0.6249188898559888,0.658147326469501,0.7329948290075982,0.8325589679666067,0.8789478573085069,0.8260212125992655,0.7848004956742427,0.637900808271319,0.613527314288618,0.8629523156740002,1.4325507009113476,1.1200986677477835,1.3480580364208155,0.7536312189777584,0.6385700094778807,0.6543150189854259,0.6551795391328997,0.7163051259303505,0.6300197687124023,0.7588797771452911,0.8789636109438299,0.8734798348806728,0.705407312237144,0.8571315952098314,0.9839427307014446,0.812412419859303,0.8976356335944812,0.6360296589948397,0.5962959725634364,0.5892445023959332,0.5763380937001862,0.6620777676869258,0.644742493435626,0.6826435261957492,0.5591318455046949,0.5824917115362991,0.5181876649594797,0.5266731700725191,0.4572283769990996,0.5062175912104196,0.5914081717247546,0.5352686239623796,0.5656976620203124,0.5880475474219539,0.7417506257944773,0.6266865764534679,0.6291141044947324,0.5997846540060214,0.557728243046151,0.5159127380930469,0.5312549831342286,0.5660552058273224,0.5562818260774189,0.5866218255682316,0.614517515299809,0.6235780807449355,0.6050237592748099,0.6619818200548496,0.8025130997522006,0.6832554790148934,0.7510600451650852,0.800654219882552,1.0464767535030377,0.9478334143511563,0.7539475392584394,1.0998128441434298,1.1955541788645296,0.9761745283705507,0.8404462283560005,0.6857175974454166,0.6429895566518041,0.8360516651302212,0.6570444416847536,0.7672956073625983,0.7245396819106034,0.6257525792542663,0.5517350421793725,0.5399733775112945,0.4775151830002389,0.40583330242041055,0.40853122026073485,0.3692126836655713,0.6144751009210524,0.3909405291289131,0.3439042756298519,0.30706128279394557,0.37236163867304056,0.2650541644363373,0.425769529363814,0.3740601630289412,0.5618846737242376,1.1327232581968232,1.3613284991692107],[0.6769019735892484,0.6668166561342126,0.6138344209222049,0.5530546811549737,0.5155375561323349,0.6116835664141609,0.593235735492793,0.5714451423551995,0.5881983589095612,0.490347563774461,0.4679628813664938,0.5774294399965325,0.49286689743093526,0.49974588726702746,0.5267022969480339,0.4731173928982591,0.5299046762487789,0.5491624656868911,0.6970079442948266,0.6867014723465452,0.785287354174395,0.9017486999567977,1.0830429344362276,1.1737190463035296,1.0735756826045992,0.8493657333373141,0.728218133707365,0.6011491073991517,0.5348526805039678,0.4869106049072864,0.49814720962978415,0.5047358775523774,0.5001601202104116,0.5412590751268745,0.516199456747517,0.5629953684139937,0.5070559708793384,0.5892965238400184,0.5903949117405348,0.6844485452415098,0.923412643649441,0.7778089088267185,0.8031368745592041,0.9116795005141067,1.51711600060361,1.8712001444845465,2.4043586268809714,1.3242907386177643,2.0837882551289373,2.446589565112931,1.8778287783141645,2.4253463178990686,2.360415208088215,2.149967563264216,1.654587571021729,1.1772175715142539,1.9091556780478227,1.0374208486519927,1.4050543146380092,1.9775709779777393,1.0995457529314807,0.825647759044557,0.7095531335583878,0.8383512860117088,0.8544129977063964,0.7627835180458851,0.7534395981298578,0.6129367676779913,0.7078242565605855,0.8452263089506425,0.8856647057480936,1.1662209374691557,0.7656176700756029,1.0165289072097434,0.652242513142233,1.0498713237210189,0.6542417367828363,0.6211016886110458,0.625842202352427,0.6956389948329905,0.5999085383644923,0.6412975209421633,1.0858003510549539,0.7103627373110075,0.7197293963667737,0.6086816863784338,0.5995502919010717,0.6329887068716828,0.5936209218998969,0.5777536404955147,0.5835048623362882,0.7146690997464502,0.6444432415545909,0.5154025128901762,0.5025466133134273,0.587028286919481,0.6251861748903587,0.520496417319625,0.5186260833497641,0.6304569224231994,0.5449071439411757,0.5846530480094526,0.5575629410273066,0.5904300110117947,0.7804856855920715,0.7429967493483994,0.779572261880108,0.7816670655169209,0.7144482093036775,0.7262499643236466,0.6548787593202064,0.599158856692605,0.5708635896650607,0.5144193510877322,0.5021420280201963,0.5220205725389166,0.6470812292167696,0.7154632103097888,0.7652245612740819,0.6064921502343736,0.6627518710241636,0.5368647686263662,0.5669046249688078,0.4830457684360387,0.5413666415676737,0.532680794375094,0.5906388268530934,0.6118004499304878,0.6222483467113546,0.6733474352212363,0.6633098809933118,0.6825998333265715,0.7741610444368302,0.7085060515831837,0.7243209759180855,0.8144811209331015,0.8721228818383963,0.7260830300744515,0.5834943302203706,0.6105995400651675,0.7454638891869334,0.929113533518743,0.7262162033936057,0.6274298782525646,0.6414697916396391,0.5387885205388417,0.5348526688169851,0.5184849297426662,0.5101364092601209,0.5437101642971839,0.6083637401223648,0.6085880275261516,0.7100788630357405,1.1384569923626386,1.0603865884217105,0.6013499694862007,0.5515247361412012,0.534073181987566,0.5182611166298269,0.5655666752056197,0.535908750206536,0.5621134817867038,0.5808720864288948,0.6321477139090435,0.6755203534877199,0.7923197974444266,0.8473659670997999,1.1048010891258142,1.2742567856851692,1.0368535984990284,0.8048642943064609,0.6746930097959379,0.6661574541251928,0.6514574272696477,0.6039283909441658,0.608931651890235,0.5863397297623499,0.5890732442371832,0.6623624649751412,0.638293899236933,0.6779806527639545,0.6392608311417657,0.6921522445589892,0.7687132074086229,0.7689135608297665,0.8791213651140082,0.9805403708111068,1.382956613735076,2.147518349937382,1.5957062730643765,1.9784138398974824,2.1531211430352815,1.7460844816808496,1.389236356576588,1.0157279522448006,0.9229259479466769,0.7140531315394135,0.69458964229907,0.6694928000751355,0.6761155487099014,0.6248871590753806,0.6463485670753808,0.6565753672929423,0.6041318280780614,0.6263603237358578,0.6622723116496467,0.6735301440822721,0.7056650898171577,0.6975872408097815,0.7416351700714396,0.7699505019338971,0.7791396372880762,0.8115643213587139,0.8674456591123159,0.9801735809073596,1.0512997492203637,0.952086612745493,0.8725926153822899,0.7316891144984521,0.7312755965545958,0.9061981729670473,1.3609047683943967,1.0940317505797807,1.3026496290258014,0.8483294289715264,0.7518052105879414,0.7360982742164561,0.7411063631848411,0.8055132180710368,0.7452952582696394,0.822021213745561,0.9690230943931575,0.8755077335547671,0.7427499720589845,0.9761515546165841,0.9975124313810327,0.8448408951538443,0.9700939043631434,0.6901800173161801,0.6906398613850917,0.7078272183943489,0.6995057651038417,0.8209238899537384,0.7809485827021339,0.8637795038644144,0.7342902560854582,0.7955138346132371,0.7308469146576084,0.7239766456466771,0.6678598166101961,0.6917658223792033,0.7668087705616956,0.7268024566136198,0.7461548666073357,0.7444621617108684,0.8756042159893346,0.7860584218654407,0.7679588875795289,0.7480483752189276,0.7204658363568679,0.6931130498349575,0.6995676806841592,0.7055234798662788,0.7256144357531329,0.7034253936411395,0.7090162860506797,0.7189555151575425,0.6790259867137463,0.7303480135991698,0.8439541085730683,0.7392679940998601,0.7998096267625207,0.8571500866549885,1.0596507810239253,1.0009636584942663,0.7948149495173434,1.2834571819161549,1.3141389408115511,0.9405519314432953,0.9415415112950856,0.807366783681559,0.825647914211334,0.9923516051742687,0.7593374035486947,0.7639606115901566,0.6330506759670596,0.6414349676735939,0.6215323236604338,0.6409754462192537,0.5895046176997809,0.6297009504107766,0.650787270962406,0.612824073610012,0.7627027593419199,0.641937738964002,0.6059280262262429,0.6117540274400757,0.6174689993871592,0.5890425818416504,0.6687186467716723,0.6016194196904581,0.7825521446480649,1.3476277084680794,1.5628858879007637],[0.40671733677203736,0.38921385879705195,0.4395964364730668,0.28224450367485354,0.4134301362414655,0.2920729433063547,0.30060377641433794,0.3250247283041867,0.44939242261892565,0.39544413825525754,0.3891764234897447,0.4747298778709168,0.4106310533604563,0.492771148023119,0.5871230982528594,0.49664193295697373,0.5867673931504116,0.6215706683142288,0.7446346234290201,0.7624603700210345,0.8432402808717341,0.9297584332358693,1.1543790665665532,1.2299614600611486,1.1523641286841695,0.9526167707501528,0.7985973456345526,0.6593673191364429,0.5860144676468614,0.5261611382503781,0.575750730969912,0.487744555195358,0.5285304422440578,0.5855469305103279,0.5375703787402172,0.6158056578471759,0.5381345342974277,0.6293846779041117,0.6596043357205797,0.714951792084269,0.9773951997029562,0.8300682109745771,0.8593552596256544,0.9305872898835242,1.5245259923816958,1.9012227826884185,2.520843246561105,1.3304322697470294,2.119855437105903,2.370397866746753,1.8638576863256857,2.3791733596671825,2.275229509801062,2.025271725202712,1.672918091537319,1.1511888153377752,1.8368905796256447,1.0653780875958243,1.4639342508152295,1.9207844284717066,1.1224840118703052,0.8709798017541506,0.7766673302582647,0.9466863656015486,0.9172307167166441,0.8273289032300148,0.8168403786879055,0.708077078351929,0.7828755208856498,0.8955648291731282,0.9191233469797481,1.2115250015060661,0.863028116207499,1.0498864969250767,0.7285350430826832,1.1001609777095653,0.7367703768625333,0.7051179054347982,0.7038696163821954,0.7715672949550804,0.6389603290594746,0.6777927751886148,1.1599617431687486,0.7002310924664599,0.727496447219937,0.6348594996664678,0.6465199320124455,0.6396431270921448,0.6668975350298433,0.6206940347495787,0.6732703519786104,0.8192321912476529,0.7418375538019971,0.5987778754844892,0.547452511625133,0.6421809339806385,0.6430256126706467,0.5404721305400153,0.49804456367822264,0.5513868438979773,0.49132544599615807,0.449216013771316,0.5049224860932872,0.46463930586682134,0.7648484946090084,0.5417537131584159,0.5974501914013561,0.6317237618445055,0.534460501424698,0.5642248006430743,0.4055419918407309,0.4577098679756651,0.4209246857049814,0.48093337764809,0.4488397515315663,0.5048679863255393,0.650046674031566,0.7197495463062153,0.807933010203581,0.643920099952323,0.7000637106450277,0.5478762463554581,0.5456725761441279,0.4310128093167098,0.4111756118791536,0.4569128035676832,0.35961886771585594,0.46401056932817714,0.4872313922062347,0.5838916428563318,0.5727141999494713,0.593867966282208,0.689679129714628,0.6368236837221706,0.6491669123377956,0.7107267226683661,0.7799000468848307,0.6705308258182512,0.578628913716542,0.5886313414883091,0.7891184064317172,0.9896503462448223,0.803986171132559,0.7362556092867497,0.7127134476655937,0.5637826841426447,0.5277107838154783,0.5085921834482684,0.44870078394105745,0.42475122908767193,0.42333852992621945,0.4474316983990945,0.6010003616268844,1.0989309534265181,1.0497427177977188,0.4630937960549924,0.4333931930110183,0.37186989096007195,0.43415144820351254,0.47634883109028126,0.5050600497925886,0.5400554868269504,0.5551886045618251,0.6115848603197576,0.6660816478525279,0.7869501403910174,0.796020108618073,1.08836694379949,1.2364710367220888,1.0027545766112362,0.7552639470943682,0.635251863751372,0.6181129280405104,0.5851659318947637,0.5506734508963483,0.5617562724803856,0.5585084387826736,0.5463852824706895,0.6188364442497875,0.5629837638672829,0.6489630945865685,0.569271544699376,0.6446250998348001,0.7199224094086811,0.7266343835855251,0.8765824726125261,1.0098247858242704,1.347511492716615,2.1455836547890614,1.5728650513630327,1.9867646616305032,2.176791452825249,1.726725580459042,1.3390136346363362,0.9600119863017775,0.8837270259402197,0.7019778940608338,0.6681903258264966,0.6303165164904903,0.5791137364757616,0.5186054262019125,0.4577297633927292,0.4529456632831345,0.4780091468075432,0.4628007483989383,0.4519288850294877,0.5343049927433333,0.5519885260972129,0.5163315695330593,0.5724862672550518,0.6255227091419813,0.648024904444531,0.6751894811118848,0.7508148297111882,0.8634360864091918,0.9177941003378938,0.8513791796458391,0.8207151505047323,0.6555550446817194,0.6399538457296919,0.8847558942523485,1.391213551673446,1.1034349040049083,1.2970826354821219,0.7682434845612344,0.6628626114547995,0.6605473365780601,0.6868038229117295,0.7402828002276857,0.679965131805738,0.766794698936033,0.918835275169661,0.8401039567197822,0.7036890153904041,0.9589427724832983,1.040044157439341,0.8578444422776287,0.9673127770752183,0.6590045925253499,0.628005993059214,0.6559644600766941,0.6244234717837431,0.7282248251321566,0.641016106388174,0.7207143323384154,0.6011890631540562,0.5926712242846565,0.5389456293844461,0.5228750849964103,0.462558472949414,0.5093421672360204,0.5991066531249776,0.5364955367217716,0.5603411515090223,0.5889819921260829,0.7272854741779875,0.6432977126127672,0.64128575840221,0.6080852721346556,0.5592190142327669,0.5207701597701446,0.5483275398119528,0.5714519310584565,0.5708003535499321,0.5902633883645271,0.6334612601901661,0.6404139898047445,0.6229638720589719,0.7026154145810652,0.8369696784250797,0.7037856176343469,0.7939386647481284,0.8618490595892535,1.0858772764932132,1.0147519586572813,0.7719358560315903,1.24425569217713,1.2204653039381592,0.9655619710972438,0.8709065778859784,0.7214260856268421,0.6812203877944444,0.8559458324096444,0.6815471291400651,0.7645773036586105,0.6440544653674182,0.616724944727906,0.5316027062786662,0.531964245827801,0.4581288853841606,0.380197448272483,0.37945498954241086,0.3616512120333788,0.6325122889834774,0.3391591767165461,0.37379246584772935,0.3102550481604982,0.29123427056777323,0.31866901704516487,0.46211988115532787,0.3573600861418461,0.6229657743857435,1.3106287800242753,1.604598654101086],[0.4243006045192505,0.4037088360650148,0.4242001754867938,0.280941010346452,0.3997032684387489,0.31768753039090225,0.36122888040461565,0.4029487093179241,0.5355816198574284,0.5602937063034518,0.5787060702028024,0.625237323600436,0.6128048030490844,0.6999130922438991,0.8310087203845891,0.7391065523529605,0.8244648133137601,0.9042278291986345,1.0258326692664754,1.0365692936919035,1.119682726638072,1.1691925616493632,1.4377651758206167,1.4657418473000758,1.3967814406388908,1.2268046252579154,1.0406915503487781,0.9231138031791819,0.8487401221413765,0.7638289459474366,0.8652016008035618,0.7222503932082281,0.7702990196922233,0.8609727169368446,0.8087798363122495,0.8775761567577008,0.7899434697929885,0.8756312706652601,0.9000150866288996,0.9283462377368933,1.1774329597510866,1.0800211666454893,1.1256949489263028,1.1668127538188442,1.6481274403674295,2.0441556752357517,2.7157314888497983,1.546361178821246,2.260417774842795,2.5132818257482925,2.036986457838239,2.5145801768479767,2.3199226883076967,2.0148545714132937,1.8803487916432575,1.3428983565191586,1.8637344491788714,1.3548943957270863,1.6458793994640206,2.0556723783755273,1.3094350820538092,1.1008574992547744,1.075190271798614,1.2539863999234215,1.1885418303395496,1.096543797664154,1.0950348496676272,1.0172868414554366,1.0729433376591364,1.1447208943793914,1.1779381232113437,1.4827381724066675,1.157914770860319,1.3543315640646965,1.0384503690436209,1.2796312838284363,1.0518660090010368,1.0241271026659409,1.002417429888996,1.0509371662787588,0.8939119487803842,0.9087351514306199,1.2471099101070295,0.8746118522483114,0.889808886822748,0.8545077318354275,0.8918770173414727,0.8737548451658511,0.9481780907741411,0.9075252022819645,0.9792571483958888,1.086077649863079,1.0364329242917167,0.9013841079596461,0.8152674873258229,0.8825997613892265,0.8828229828660115,0.7693370590904839,0.6855867816685699,0.6633343476158083,0.664535448492469,0.5909248946925486,0.6915237720388723,0.606056167866835,0.8886890737277299,0.6469632962745828,0.6727404816212034,0.7238946275069722,0.6142154170846331,0.6269053981728873,0.49293091984229737,0.5680292174765972,0.531404387640425,0.6104345718465404,0.624329902753677,0.6800327154231645,0.8671716901995445,0.9767510759258271,1.0944429625347283,0.934723408386835,0.9695972692513259,0.77595777930017,0.7288109475172607,0.5979148205667275,0.5364881287313522,0.5647271906328782,0.43611756064875884,0.5552067994990163,0.566599129452463,0.6834912058043927,0.6621750643494887,0.6918376826123183,0.8208364442861065,0.7560072888125543,0.7728799624661078,0.8107355868611082,0.8430517400070134,0.7914498585529987,0.7285675826112779,0.7359819474790635,0.9451657989988564,1.1624637083622478,1.0508702631816784,0.96809438475585,0.9537885149473933,0.7962924352574917,0.7336241490916634,0.6867791418838026,0.6111248576652427,0.5721877937867179,0.5280917742612401,0.5376465226690461,0.6616149999982857,1.091979462481202,1.0967389747033494,0.5924253853606437,0.5918981745345926,0.5144693220129385,0.6178302823895803,0.62538556187294,0.6833476614449282,0.7324824014524909,0.7408558762923174,0.8001477499243529,0.847260088020274,0.9187780812752496,0.9654134190349078,1.2595754397076755,1.368362106877885,1.1134012997458966,0.8888691676332406,0.7840700180999656,0.7786081262914034,0.75056379505901,0.7325282781643342,0.7380578167847169,0.746151047250715,0.7359411860457455,0.8092161272496928,0.7454548278231161,0.8150688139887632,0.7084741148334511,0.7982692026808226,0.8722032873951099,0.8771815888051587,1.0200166994310964,1.1506156439458994,1.431290094017672,2.209641341831384,1.718548716035243,2.176506972451913,2.3469181925022577,1.8992805589572455,1.4816885193089357,1.1138343910040205,1.0093536667652163,0.7698175182988083,0.7395121793180137,0.6798850761900185,0.6238287321599908,0.560103447627877,0.5003329063959054,0.4985265769880588,0.4985903079905896,0.4770926136163335,0.457919110335519,0.5271514048068566,0.5596043622129435,0.5116964445218927,0.5674038363477233,0.6248432534004975,0.6432035361217867,0.6660795358628933,0.7486551054187633,0.8807289775400698,0.9610788123682571,0.8457166581919459,0.850762784030084,0.6626040471415094,0.6522169585428278,0.9259019425422294,1.3360953411642855,1.1184761420175662,1.286818250593416,0.8005680979843791,0.697315000566179,0.6822692312700015,0.7307359703262326,0.8068129061161156,0.7409087394156879,0.7889394007486165,1.0007124637568086,0.9063210216026183,0.7704492123452055,1.036431801320813,1.1138658704711848,0.9345114242882115,1.0439148908568996,0.7123434758355794,0.6893530225327236,0.7132321283389409,0.6430098347314673,0.7796017053771155,0.6728439362495922,0.780188187311764,0.6382493017263068,0.6282261011110422,0.5581096818929081,0.5485225317851368,0.47555692404382066,0.5034310926941464,0.5955443917349239,0.528584420137459,0.5564551374638483,0.5781254195163739,0.7242091662454372,0.6388403564311341,0.6370592287877542,0.6059193719215306,0.5737091046433318,0.5488472412702547,0.5773077688951391,0.5923819915333641,0.5904764117287197,0.6256078383332202,0.6672084109065143,0.6644816801737473,0.6484908341117971,0.7564208979788665,0.8804589416063289,0.7471212532615378,0.8514969023792244,0.9605708154306011,1.1327877943065223,1.0690744278311,0.8074606006565069,1.3316161794158385,1.2699927539516205,0.9688495835162579,0.8984458704090443,0.7331878432437261,0.6877898696449514,0.8745087880866718,0.6890837281841101,0.7702145616793048,0.6275651184751432,0.6160790381432575,0.5383797581267418,0.5684268140523967,0.48947774505606734,0.4035062079910664,0.4302678879808405,0.38471798909310445,0.6499720685399637,0.38622871972850814,0.3814738540061694,0.34221047315121117,0.34001292349901885,0.3328787052087897,0.46337224826745516,0.3768137690027742,0.6623408565567372,1.3434092280622691,1.6430757115418233],[0.7348152048657738,0.6706752082108088,0.6527660488208977,0.5446650179383926,0.5602709923931588,0.5128097459242776,0.6225958265535843,0.6690173068050438,0.7748440291145775,0.8530098360452235,0.8837471899620913,0.8877924850998029,0.9335491815933414,0.9821637496393987,1.1409804665314167,1.0876277032391866,1.145989143397234,1.2163714345222418,1.2704276909106933,1.288403527307673,1.3600146277527738,1.3914164121250523,1.4952227280199466,1.560501165728032,1.4849290394622892,1.3836591831169618,1.2829061320938058,1.186614354937924,1.16091149962995,1.1083023237357146,1.1743554357232806,1.0698477940140878,1.1368792293040553,1.1731478309056054,1.1264200049231463,1.1674895795004698,1.1107848131355487,1.16515528299517,1.171674624575287,1.1676678852641336,1.268049741756163,1.2952702120915383,1.2995208287058364,1.3807480135216672,1.9209066456100994,2.191360871462543,2.808358768318342,1.664581086312255,2.479436589286588,2.5366138833438323,2.2194358140090875,2.708513500906455,2.55469718603293,2.2732513139097503,1.8615833129643495,1.5540495119270064,2.1703634080831438,1.403383893522346,1.6473412191457288,2.239501468414589,1.5840253868487928,1.390098337935158,1.369604899707289,1.4740418287595587,1.4850626671024947,1.3767006470362435,1.4179113095225768,1.281342278776725,1.3279359405568407,1.3357869689638893,1.4536841140242451,1.6991585605063286,1.4188375605118342,1.5051421087857828,1.316320401183413,1.6645125373146417,1.3188934883109078,1.293793643805439,1.2786772623126257,1.310920554476672,1.2190989980753109,1.1824511312517303,1.4608991693017674,1.0874865774243463,1.2245687709207655,1.1304939833725485,1.2061246518282303,1.1847493761478873,1.2284005587819482,1.1721896663052562,1.2471979175641523,1.3930206416875628,1.311681800327163,1.2010352010945315,1.1228794128326514,1.1980949055628134,1.1413781034330581,1.0566664847368972,0.9890194419099327,0.9741387973813411,0.9948486887998641,0.8943518045537289,0.9657437446054342,0.8641486605873296,0.9679977256096636,0.8990715322533095,0.8223092950068541,0.7711599478351607,0.6700521388329583,0.7708099015469994,0.638831231368804,0.7557869116574839,0.7548901519186371,0.8331049672788148,0.9499187927715228,0.9811811464854644,1.1456343812945684,1.216888636498554,1.355614295530751,1.2076773474038007,1.2167875366206677,1.0973089753327097,1.041716141473987,0.9001733432874832,0.7709341640980294,0.7287848262721089,0.5868277773058868,0.688211534761906,0.674038693819529,0.7757742306242842,0.6964569623505769,0.7118835761598457,0.8437907217479327,0.8521576179210799,0.8479282481680678,0.9049574147330164,0.9272357270956656,0.8975978387192777,0.8997544177447113,0.9709291246271075,1.1304461222746167,1.2185049472839666,1.2299570531779767,1.1860407615866961,1.1604647011137015,1.0726225762250718,1.029162582378846,0.9883421029346543,0.8817650389995807,0.8357592830901334,0.7858568887153616,0.8383078382083065,0.9102104310554839,1.3150167962234978,1.3200204195040621,0.898095081318006,0.8867387690624925,0.8155616980751521,0.897422122608289,0.8342015621492871,0.9167828772192346,1.013017133510003,1.0076542449673775,1.0846592795007606,1.024097368471023,1.1074878304871738,1.1105450821063048,1.3472197637023071,1.3776320772806057,1.209317721553143,0.9901617422921777,0.947965256299193,0.9848371380402229,0.9887525921469777,0.9896111849389821,0.9771999680723352,1.0242051427448338,1.0179831397591805,1.0855614826457676,0.9840237509914211,1.0072671931643598,0.8885509008334352,0.9179494745606098,0.991639640031283,1.0188034853257186,1.1631346915434002,1.2608714506346983,1.6042110538580903,2.236301970507307,1.861235699318111,2.2888515617604765,2.397027835251005,1.8941162257930242,1.454563633706115,1.0908591428489995,0.9852036054948939,0.7628341015465208,0.7137106541446414,0.6490555391806818,0.6628034255638493,0.5636970359247253,0.5662882805115943,0.5579670669821644,0.5352812334681621,0.5461523401069643,0.5871473665757504,0.6245787716740154,0.6434015674131959,0.6539541560281493,0.7273522661258656,0.7886195415032867,0.8175108735732147,0.854042721733984,0.9527016054893215,1.0203129967019509,1.0207288143572213,1.0243590510953082,0.9532626019331101,0.7926946965693598,0.7741805557577458,0.9537840684823559,1.5052909902283165,1.1627268615238335,1.304947186472128,0.773523019563155,0.6723079094943435,0.722423496215951,0.7312181434398148,0.724316522667764,0.679814953997634,0.8094950918475349,0.9339983684771209,0.8307837847907661,0.7052471086861808,0.9670274703256623,0.9598172714894072,0.8334007642239343,0.95397956979783,0.6548158829831192,0.7120609169708337,0.7362069266253827,0.71469884593176,0.8364416985436788,0.767241740521791,0.8577208873490301,0.7243504477316309,0.6987851815559664,0.7176093794064131,0.7059604911807469,0.6022741271738244,0.6816556618411125,0.7771098173077843,0.6953576840952532,0.6937012379184232,0.758429665228174,0.8755029259313353,0.797284933468824,0.7830817794707712,0.7256884013495162,0.6498999594192789,0.6155748677566961,0.6165123262476733,0.6521696516900745,0.6415112956179684,0.6355653508434135,0.6731363613786704,0.7014627714341456,0.644909389384725,0.6934114160769366,0.8700687444183538,0.7627006295322487,0.7825249758476602,0.8869336478077277,1.0988356409657958,1.0402286849856897,0.8350912376442593,1.2953492154738504,1.3354832109732606,1.1073052761300233,1.010419131585246,0.8355452342468725,0.8325973688448873,0.9808993566571421,0.7931359472665782,0.85931748739281,0.7202865232787166,0.6610214621178638,0.5839080900681141,0.5842338021957592,0.569590525703848,0.5092974519423358,0.5532895768173609,0.5406624302403608,0.8372995096540732,0.5340052741022452,0.5798048384182339,0.5589271964383822,0.5613931840338068,0.5775225024396166,0.6404714984780754,0.6173634462483971,0.85520529377843,1.5160828695634347,1.9854217344984528],[0.5152813417101584,0.4916243366753652,0.5555820057292701,0.4049601593454129,0.5193247571266834,0.39132957273536156,0.40511694539226506,0.4448235475769685,0.5424276827192838,0.49911379797609295,0.4887083631622942,0.5719831952745876,0.5151318776919167,0.5636116485033145,0.6421229343479747,0.5711895000584072,0.6543794216791786,0.6631882012000365,0.7461664375805248,0.7809042918491869,0.8348721634044513,0.9235012453505093,1.1100944958567802,1.1762815960574833,1.120784586601451,0.9315137061066014,0.8080761487396199,0.7025111849762153,0.6469653642335386,0.606157790157991,0.6300118235897476,0.5714152544169886,0.6073029181565606,0.6605013351741035,0.6119690238567851,0.670792602684409,0.6159682878856418,0.6822557581018867,0.7091105996299414,0.7475273878283483,0.9970858317788643,0.8369285240891955,0.8509161091624091,0.8946170725152065,1.496779109153564,1.8595922200096224,2.458949509885668,1.2752596638899905,2.1063060829250526,2.305268528664236,1.8054295293456422,2.3305492120133886,2.237983850880261,2.0162043289665426,1.6471704692697569,1.124376468247396,1.8242227845806085,1.050702083930223,1.4842395395086423,1.8841044514038954,1.0963249301091784,0.8541791890392558,0.7809261135608292,0.9190670668895063,0.886877574330874,0.8300060626873472,0.7976752419340055,0.7179410005327316,0.767180270569545,0.9059974706912759,0.9183089127129951,1.1997892122582563,0.8434138136218746,1.047738684019489,0.7394041889654619,1.0883973440718075,0.754019144812555,0.7369975250591817,0.7401785607781239,0.7984965369072947,0.7008239298767474,0.7277406934625781,1.2218525106325857,0.7543017548608463,0.7693868862987776,0.6970313417703704,0.6920731106484065,0.695803456357139,0.7081438939370972,0.6766506174075934,0.7139273932020946,0.8144554397675633,0.762898391504702,0.6589189924661922,0.6153564035020563,0.6881290218001048,0.7073516297006699,0.6313784356919407,0.5958108182184148,0.6213481502103341,0.5883099418175383,0.554935470145,0.6237751667820862,0.5809007762779047,0.8593946482182785,0.6017307059011305,0.6319513139645886,0.6652923288427172,0.6009737978370768,0.6508046872690921,0.5234067589074589,0.5675773229601752,0.5382608993635802,0.5909985028003405,0.5397126797799042,0.5815200066217083,0.7071144028980808,0.7332956327307213,0.7840637146322402,0.6735596637868768,0.7267539115228908,0.5928664670603749,0.5985408797291097,0.5170072016253578,0.5134915562870159,0.5598592079185744,0.4882278490666455,0.5619178653336527,0.5779693309501573,0.6609329810377587,0.6229849002079025,0.634913361918087,0.6895448961406657,0.680808836731856,0.6662851017936244,0.7180418953453379,0.7663666406892504,0.6911596809247367,0.6304726453322818,0.62871523506386,0.8199489672218518,0.9729597029606514,0.8219419610346183,0.7823864672534291,0.7566024481398166,0.6251015430797865,0.5971951024179752,0.5998080233719484,0.5602442523491833,0.5506142780476516,0.5244719482173522,0.558367219211532,0.6826949916854235,1.0956698949339279,1.0861256112220177,0.5760724616906794,0.5518118561452824,0.49472373354971294,0.5540127887653903,0.5886013754146548,0.6130066623276145,0.6048035404910777,0.5985935921136559,0.6455943311282989,0.6841410928172913,0.78399432005053,0.7869653677335571,1.0414751272675562,1.160968763969136,0.988264250178279,0.7526111727594447,0.6588210163837007,0.6524850284674037,0.629021304207914,0.6099141394335733,0.65321185637347,0.6537519097039843,0.642012175129948,0.6703830290865934,0.61899223783874,0.6860084532851808,0.6401896111106211,0.692151978784322,0.7394320209272164,0.7482299832686345,0.9021263884931405,1.0398052973716416,1.3644631258266793,2.125553149576051,1.5297776345103098,1.9313815737350708,2.179206961386788,1.6732612343213447,1.278844651020991,0.9139378378225366,0.8581224086264295,0.7129664193603079,0.6859840320213809,0.6577647834840508,0.6565648034909035,0.5768089311370623,0.560629165523465,0.5426159433676802,0.5432409614877733,0.5365167689160032,0.541522378155068,0.5761622982691479,0.5876120801886566,0.5777716772978114,0.6236224758293154,0.657917912833665,0.670093308631699,0.7022842543293368,0.7805178420909057,0.8475583614836695,0.8921734028165113,0.8744119972450193,0.8004768330914952,0.667260962335248,0.6498401751689187,0.8410266604084767,1.5036628280966218,1.0832102071162426,1.2674512419153732,0.7694493676101317,0.6901145294934377,0.7406207858448041,0.7606867174215465,0.7323106382466316,0.6989945407099312,0.8333688294998034,0.9469744600246756,0.8286573440633452,0.719997411429727,0.9637947218718306,0.9307546680245511,0.8368229889369019,0.9402063518303903,0.6665400162496798,0.6985686291823271,0.7384636327439701,0.7444327190498065,0.8622329765169059,0.7380052169152567,0.8203076283238486,0.7226346672717254,0.6848953242236284,0.6638323666375673,0.6402558280105928,0.5663881144704723,0.6038067801238549,0.6796729541306047,0.6073288985210672,0.6013208133018576,0.6368288357248701,0.7508708982470914,0.6521910816700112,0.6384861783568461,0.6310431645645501,0.5821220197760385,0.5962143832009135,0.6174476984575881,0.5995587612697841,0.6127902351573319,0.6331535798239144,0.6465631134418393,0.6521568579508373,0.6380687661316146,0.6772922813391171,0.8222075979387691,0.7130513447535998,0.7446152063283406,0.8137992719506231,1.017899611655961,0.9731065071328034,0.7733670329773538,1.24543468251062,1.2883423893566361,0.9283228637443871,0.8706499586100719,0.7254616543340059,0.7139750889426235,0.9015086573737361,0.716095760032209,0.7690377665000724,0.691259256983307,0.6503516112712971,0.6002404432811582,0.5950442298614856,0.5577089683395694,0.49404641334666305,0.5064818299703666,0.4840444283173632,0.7272286847845737,0.4606493499473109,0.5075410332929828,0.44089033683779455,0.41735548748110424,0.45811243709904387,0.5119589968215936,0.44871282705732285,0.740659160323091,1.3900537192074487,1.7026542091728383],[0.6378889459965782,0.6308180675593958,0.622167778222627,0.5382489244292912,0.6038116978810673,0.578067116723685,0.5818747812478191,0.5992371823284566,0.6539122400845715,0.6705371232406306,0.6908236054150882,0.7411576842385066,0.7450970148055762,0.7923864054943023,0.9208947947515282,0.8609024553497164,0.9484282762223637,1.030451852466816,1.150328473028323,1.1652654620733818,1.2554016603438412,1.3034074853555646,1.5234998844461254,1.5750752434208868,1.4824315069933718,1.3266029223548066,1.1595747883340408,1.0429063055414052,0.9826668167297352,0.8969563131948112,0.9736264213403383,0.8591954432461009,0.89697094549513,1.0178032098926018,0.9585761840973871,1.0180790749719997,0.9095438911248188,0.9857374559139795,1.0170686754414524,1.015760906753815,1.2894539782086383,1.186197653996404,1.2119181777763879,1.164621544800211,1.659323526259883,1.9632735863630424,2.630153549291806,1.5124020675533785,2.1690003798389546,2.44263095413976,1.9483471707082056,2.4097591790205324,2.226768463266756,1.9519446251254524,1.9566167943106454,1.3345320909371778,1.7953505136144285,1.4712548060607888,1.7473174177880346,2.0668138910402067,1.2780678126502552,1.158092663744421,1.1630348035595621,1.3270543608756353,1.231535500818647,1.1848826152242287,1.1847097750996645,1.1388404472599896,1.1927177065857222,1.2495657639798976,1.262090349176954,1.5904533732368125,1.2265721600981698,1.4875722181080184,1.1614582663395618,1.3846620406478534,1.1552896389419514,1.1443423789792777,1.115461404685507,1.1446717619645668,1.0262844704305236,1.0072607368113127,1.3418445804595762,1.0157457084982555,0.9769684155396048,0.974589958393966,1.012557372780876,0.9938655995190169,1.0782378913100756,1.0335123420405448,1.11599162037811,1.1839304195152063,1.1229647186838754,1.0025991584654672,0.9380534330553525,0.9757077140023894,0.9952938745674907,0.8962308401883363,0.8128506738325889,0.7736659724774722,0.8149672046613693,0.7660523510801359,0.8654058243267639,0.7899132388854655,1.0499706078159037,0.8169192007409961,0.8461134801672598,0.9264297711091531,0.8555695139867393,0.8154263275739904,0.7490545940102811,0.7595009299116152,0.7039879416176867,0.7438909835961509,0.7334212486635697,0.7909545478731237,0.9789895580984537,1.0595695460305345,1.2153203067608023,1.070011659023769,1.0962267375852515,0.8681646416900919,0.8240523235187825,0.6886622815459202,0.6597948700973664,0.7357019798796388,0.7282881453308255,0.7725439595261056,0.7877494023655793,0.8663975276445119,0.8637305084854942,0.8873844167625573,0.9714835668280161,0.9133276295963507,0.9224162207985017,0.9417103285956608,1.0046752166159825,0.9418312786595858,0.8702276343909969,0.8469936565709043,1.0284595896067634,1.2420770378709283,1.1316741738052911,1.0467012338748236,1.068004343855947,0.9242470746779421,0.8608702666699333,0.8293101349605153,0.7620938566899349,0.7246165422879797,0.7014415392282475,0.698672469850814,0.7945771173719545,1.0779829696062035,1.1234003037731306,0.7436793667931721,0.7434592235423848,0.7037842234212052,0.7979757410605567,0.8142671108417769,0.843980552106921,0.8595066297077989,0.8464439688905504,0.8825765933289945,0.916615537682703,0.983639173389665,1.0523814155579978,1.2999818361446298,1.4034554509622408,1.1987138721224095,1.0144972567727137,0.9004831793607868,0.8910568871528896,0.8701455239732888,0.8588571050732022,0.8839103373536701,0.8847074392677061,0.8698067383629675,0.9247991172269872,0.8737067436027409,0.9057626016935549,0.8571901670760509,0.9254789274463248,0.9815581026943627,0.9792047762837125,1.0848503171089132,1.198583683551892,1.4824270953919385,2.193193612196425,1.7247831778587057,2.2013575292676437,2.4254752895849907,1.9538305474835387,1.5376436661420663,1.21445083725351,1.1256140851072085,0.9157734848349073,0.9099086904187912,0.8685616674851159,0.8585969479656386,0.8002118762027515,0.7897146985662382,0.7791224539078644,0.7438951569536759,0.7404239395650617,0.7262184776263085,0.7349083643108947,0.7678058535329453,0.7278357858111476,0.7336084928439937,0.775084526362542,0.766672241403593,0.7704266867204589,0.8336218982218075,0.9585317092964337,1.0724637443226364,0.9377394257278073,0.9386576999303908,0.8054026089841669,0.7855927282102745,0.97499786090034,1.447554488706036,1.1644293086012993,1.3071849173336985,0.9298486739203872,0.8852245701370219,0.9086663615883851,0.9569338535567324,0.958525218072032,0.9145893142995775,0.9922422127092245,1.1651128147456404,1.0276102262893865,0.9327755630369857,1.171215217743276,1.0852514645787146,1.0203486402854103,1.1190732331456243,0.8748815055932971,0.9295890494062146,0.9564170010986122,0.909967938183711,1.0531783101026073,0.9564813152249002,1.034995432154356,0.9214038970913646,0.9080531384489221,0.853774613221042,0.824878102576638,0.7600101099658698,0.7535889667307033,0.8060472463015419,0.7454294801267204,0.7570750978974996,0.7412321654254663,0.8394688069130188,0.7592951938267478,0.7476993029143281,0.762383282282199,0.761546075352298,0.7982539229945746,0.8271812305903288,0.7826788545981342,0.7986529108585919,0.8294735669484704,0.824110933798353,0.8098842514012502,0.8086369351442737,0.8771324254434969,0.9713745568979253,0.8824172717093928,0.9269661800017426,1.018908771082155,1.1481469089212246,1.1039898854984604,0.9278602390710673,1.4754772836299341,1.4704961072586313,1.0049096852658073,1.0180644216598633,0.8772311154840632,0.8423255588150106,1.0528090798444938,0.8742774599679982,0.8829993009815039,0.7691297588303214,0.7791882767885351,0.7617607722854778,0.8088990965397049,0.7340794705931928,0.6936945336803853,0.7244735611103408,0.6732651612058109,0.8479388303169244,0.66556472887889,0.6334986450701788,0.6215251432630047,0.6158794020909737,0.5832423203215839,0.6144250306489418,0.5890430346067985,0.8559283401312728,1.4559329902963822,1.7631984039424726],[0.5979218100842353,0.5441350327524401,0.6114312466993215,0.47423973435635003,0.6399373555069613,0.5982146166544836,0.6607406466195442,0.7461286510710423,0.8569276942174466,0.9140730853511663,0.969903607181105,1.000605668240825,0.989088914149898,1.0522936740199178,1.2090636029652724,1.1470628214964458,1.2001954411354523,1.2429838550592307,1.278485216341073,1.2826212353649853,1.3232323332849516,1.3493434754356166,1.4878677599539534,1.5344941196550905,1.458206651401645,1.3744224348200687,1.2539249381612871,1.200700958164725,1.1930196233823434,1.1462485395847888,1.2284008517865395,1.1286743951608702,1.1726899772450927,1.2543310166000763,1.1770540503061062,1.199733760586206,1.1431357667283475,1.1904807471428382,1.1724952055582325,1.1616935912955744,1.3560535347400704,1.2445447200547959,1.2638269209112445,1.2525983361093145,1.7174084531209906,2.0927454327216126,2.7630588548547483,1.569593371364574,2.3799524494998954,2.490737999950723,2.0795328961484127,2.533702584191476,2.2970955996108997,2.0028728456406126,1.9201561445325213,1.3980109820839306,1.8858071837866806,1.4811173372242687,1.769853256739019,2.134138730935239,1.371552641750739,1.2339290962160834,1.2960677146549495,1.4160138283117751,1.3037192147322199,1.3009859836257207,1.2963430606077004,1.3081062959410044,1.3401342261091496,1.4436222446813043,1.4179187171106624,1.733874399231669,1.4190919892549425,1.59822795742712,1.3355157976620458,1.5740362219085842,1.3004493673078665,1.3163507101012453,1.280288758733309,1.2833943763890423,1.2028229095157659,1.195412913473782,1.4672623170901358,1.142180236936995,1.153483417800928,1.1640104317061999,1.1812475813817933,1.176354438815996,1.2387457925384773,1.2387152359269027,1.3170951682275804,1.413397735003785,1.378277069378619,1.287055773939248,1.211201414180826,1.2663631880543034,1.26998309923897,1.177108969582093,1.1026725403496676,1.0700948642342543,1.0858308144671476,1.0101357556344794,1.1151247097835661,0.981299928278435,1.1830534033019215,0.929822643413389,0.9332474589897782,0.9782694808100447,0.8863297121262609,0.8737690747704059,0.8088723599547271,0.9039683547029519,0.8619303296904438,0.9312058615633608,0.9418087101589712,0.9743876727368553,1.161432764834106,1.233808720150259,1.2788095258471663,1.254528328326606,1.3052087665066403,1.1256239475084753,1.0189759165135424,0.8722730435546493,0.7908834206622838,0.8481735081289747,0.7321862171390643,0.848683924507807,0.8654988584443916,0.9759229143954614,0.928101209225046,0.9541214407924116,1.0502042761989687,1.0348498545859504,1.0263423588360556,1.027119585586035,1.034702654947157,1.0325280749651131,1.0229514240210331,1.0054464700323549,1.1564046644256154,1.28467152839913,1.2603219796045788,1.2241073367244646,1.2090463382293277,1.1177979959954982,1.0641939932591118,1.0577669189235426,0.9690971651242339,0.9207676119235576,0.8651851611123537,0.903462532555079,0.9595444703955136,1.2251637277382774,1.360508743295837,0.9986062124779542,1.0038523601292475,0.9331826858941195,1.024893599346382,0.9855508261204562,1.034776357736819,1.0475460693537153,1.0370062012480212,1.094144455731563,1.1168993425596614,1.1880659533068167,1.238115142716271,1.4731974408127102,1.4725097826066282,1.3266551028436302,1.153432840665677,1.0689660550585147,1.0742955275702017,1.0504406107118671,1.049772288340158,1.0711054209034143,1.0968933455575043,1.0774332808333302,1.1168494756064242,1.0535165798110109,1.0824250318939685,1.02494742148231,1.0951082919386141,1.1533425996904196,1.161392541106502,1.2500501196502962,1.3348847684514507,1.5883094530517714,2.2343446306338737,1.7920809214336184,2.268212050077132,2.4821528860184054,1.9599956651648671,1.547270266898373,1.2681213625062102,1.1839845277842456,0.9961201757776605,0.9691354178706273,0.8771489371447188,0.8888122472353673,0.7920738274228819,0.7964589902014048,0.760001319679879,0.6893243712435714,0.684939740006359,0.6686684499534644,0.6325220313934842,0.6503292602267773,0.6542389528702849,0.6577231263395075,0.6686741633368836,0.6765846409083224,0.7261985574958887,0.7877122123810872,0.8398137871253767,0.8954346955845198,0.8478143569843684,0.8222008018803965,0.6865236527856552,0.672653320334107,0.8690119252770049,1.5266069233116804,1.115911206382425,1.2483794088339133,0.8589097949853457,0.862471019824782,0.9430174626662067,0.9931035059691908,0.9171472381035496,0.8800016152811176,1.02201219508609,1.1595293866540652,0.9907714661155982,0.9214893502608972,1.1689958444582953,1.051022205651721,0.9962567074769196,1.113815819250803,0.85591692304944,1.000494965531937,1.0245954265183372,0.9794849995429649,1.143210280655364,1.001399062889349,1.0814743457921951,0.9723423046472877,0.8894572907088949,0.9059973319853902,0.8739318290445508,0.7602733986582387,0.7789126666047984,0.8384732262610931,0.7238831229448921,0.6994352018156249,0.741913153517877,0.8162771479123746,0.6875747594904745,0.6749309616249863,0.6846598598442536,0.675414535229256,0.7507420104288562,0.7760249921060958,0.6839212419777756,0.7023446329214126,0.7638979668156133,0.7361771526238986,0.706750088713646,0.7307175465472044,0.7922590233499452,0.8814907682093008,0.7904850765163219,0.8435320832138659,0.9343937323841075,1.0613177266098905,1.0176638811141137,0.8483496532558594,1.413061339268205,1.4177590006605931,0.940461748660175,0.9095128586490668,0.7558707377462475,0.7259121588543368,0.9405895685540231,0.7657843143682753,0.8079279580199182,0.7277732964176801,0.7245697947817552,0.7225709633041462,0.7971644194680885,0.7536892643539043,0.6661930631274092,0.7439570586359844,0.6922618035569884,0.9309818307947982,0.6798266478431012,0.652408602390958,0.639513355342092,0.6507197898824436,0.591221588857334,0.6210234542034533,0.6482126093006308,0.9739803028179612,1.6115297269471447,1.993089333322449],[0.8306876862696703,0.7223332782414944,0.7108577747797321,0.6267139435917141,0.8041621745785031,0.6972172465737166,0.7570990521483896,0.7343439160297522,0.6490616929593607,0.6278919402842492,0.5685684228029649,0.6276723581945682,0.7339720686152619,0.6087859987937472,0.7653249158269655,0.7715255452658072,0.8849077597282936,0.872746074875653,0.914472344226541,1.0712196278587736,1.1000872695704982,1.1756771422072192,1.24346340831628,1.2571607334886805,1.3748018053561193,1.1931872379602964,1.2144511792423724,1.12448219664333,1.016162347488669,0.9610939652821122,0.8155326095807298,0.8659391247713965,0.8134236450885209,0.8412901533482106,0.904123903684506,0.9478228013626764,1.055805219874752,1.1843398922055393,1.2420505967981448,1.3376325462643415,1.3017590138125041,1.2338221046922595,1.2726464724994977,1.5497243006486876,2.077118190585315,2.4386445538150174,2.8412718931076215,1.8899942425396796,2.9510297803807513,2.947480585936385,2.620112094214247,3.183908544852123,2.927033084825899,2.683293028875787,1.8107925799317042,1.7192798738046682,2.462517305524936,1.4011901130753979,1.6078353037102797,2.322614646628606,1.660847674980411,1.2881894426937464,1.1280578023875656,1.1596943235086197,1.278719173238536,1.1936878008117402,1.1195601874288001,0.908779617206763,0.8419495656073378,0.9303930560725194,1.0244299735365958,1.2558505195372767,0.9579676933483016,1.0576941871327243,0.9105720626376399,1.3077604488695553,0.9871027916087494,0.9381476566933682,1.03764109481162,1.1682540962266492,1.1295770729408425,1.2717096364234477,1.438461724983671,1.2712176080603326,1.4699906459242007,1.248153374335364,1.1907737675621604,1.1099612433740846,1.0089217727681294,0.9284667792490918,0.8749834845806891,0.9822610793727057,0.8964352360424349,0.7795668152295443,0.7230045400198292,0.7645884169721642,0.7827477330782471,0.7420240490279739,0.7303302762364084,0.8123034598059033,0.8872955934149103,0.9741590151532232,1.062435681768079,1.1009349397053518,1.1797060590426833,1.3704583956988812,1.3192436308616504,1.3046227115402986,1.1817939771461556,1.1528910499217693,1.046195008371378,1.1338362656935637,1.0021474524593934,1.147658651373311,0.9966905092387869,1.1639487267228086,1.1025082963196495,1.2311136277635346,1.1193690636214657,0.8790299842159239,0.8254430091868811,0.7675829642515041,0.9155630462434329,0.9742165336766051,0.878066209569596,1.1770219596990799,0.9611503555833236,1.1770823689293748,1.1751752033494482,1.2701079990391324,1.2764995577860012,1.3077794666116276,1.4810326317817173,1.4199774794794768,1.4743729343924135,1.4852341594936787,1.5012090343669842,1.4996471661196942,1.5333555133849164,1.5129824057021333,1.4829984364928066,1.4490680338395432,1.2997550741547006,1.439194368595414,1.3634541624528012,1.2204386821046729,1.2547495763651253,1.1255577711516258,1.1087646697798033,0.9424540658756227,0.9650754809855391,0.8123573298402949,0.8690761850972758,1.1804343902504602,1.239320624983457,0.8598534182122562,0.8485674974819397,0.9499886665741744,0.9594472426274749,1.1225811338049805,1.2768121507617927,1.2466452203120209,1.4497559116575218,1.4869533744969434,1.5512428453870357,1.6792858226238585,1.7309815759190563,1.8691136711766974,1.8508549827405136,1.8027113402232484,1.6274129961742771,1.564297307618446,1.5515245084378206,1.4715063834530266,1.3469005442721373,1.2480773099315505,1.166648985635186,1.2126815801772886,1.358995891133939,1.3564842493979097,1.4567782275796282,1.3425706323859399,1.4723436160309102,1.5823576450538865,1.5977359401433147,1.5552878046003944,1.5202163560456106,1.7813815820843784,2.3925104409401645,2.15895341201772,2.58037414891653,2.6928924985546385,2.2613886242655528,1.9118913225239662,1.6442124967005272,1.5127822383598042,1.3606690307975455,1.2360628011735646,1.101784739572606,1.1036279070773882,0.9871133500185924,0.9951324922097626,0.9729083482610046,0.8695190113278002,0.8562856020872708,0.8235119697011033,0.7538480018133733,0.7478931118206564,0.7748747059294293,0.7493488972662202,0.7508747242155704,0.7641409242168787,0.8091269425410262,0.8696230522079791,0.8879661151853528,0.8914550181561587,0.9245707920397239,0.8440702467367733,0.751921537314174,0.777657677198935,0.9406210824201389,1.7238182080064237,1.2076950969177231,1.3323132285036474,1.0015093113243767,1.0519054332289028,1.1239320478172394,1.1797690783979549,1.1333108560995677,1.072290330868528,1.1859905027204323,1.2894649604842827,1.1972487552382578,1.138560967955689,1.387433783482647,1.250093441581548,1.1494691023054437,1.3747157085140405,1.063282234748586,1.2194480317877965,1.2344632689108062,1.1307278457862824,1.2656604906396016,1.1815732800336345,1.2804337267966226,1.1357259253093912,1.0227764060550608,1.0678333612841495,1.0515033526968183,0.9195776397073747,0.9113649061993242,0.946174730284571,0.8502275970425057,0.8294231329110929,0.840576563364639,0.889011469059789,0.7834241460978517,0.7749020343663791,0.7889137435607357,0.8204296516539257,0.8942333489211174,0.918405779606239,0.7964281747146575,0.8436332053060644,0.9173300029569621,0.8606984460466295,0.8196884148576397,0.8749897196297818,0.9342165541136573,0.952633690401231,0.8682066659436731,0.9871883599653644,0.9959235254412689,1.1069397457118686,1.0299835491766614,0.900474134946188,1.3171271315875892,1.372067389121807,0.9921282486618159,0.91919212457945,0.7977229319130812,0.7729318654289298,0.9588817847004908,0.8225052530979807,0.8686461736655797,0.8578760431262993,0.8748372412876574,0.9014944968771221,1.0288007823761764,1.006695273584851,0.837510441795287,0.9176565495425171,0.8275227553916569,1.039858254569162,0.8270580735497729,0.7302309322146028,0.7336205355581203,0.7539408201214155,0.6879334704597343,0.6868222204809555,0.6614583698682561,0.9459911747656665,1.7037936151853355,2.1157542405814427],[1.3840450118491963,1.5201073430231289,1.7290590448802272,1.5693016675975184,1.856177031837986,1.4045914832908455,1.305106761884463,1.2504957267642132,1.2280910956695852,1.4301501342573257,1.661852166468188,1.6047629310786662,1.637047649439288,1.9384573715854092,2.1324303864767606,1.9604158697442031,2.0619514521475915,2.2787462297159524,2.5013661141999286,2.189166328170979,2.313970221242095,2.110535275996608,2.3561662427834786,2.2857473095107945,2.0852193282683666,2.2323680236139967,1.8879834973070666,1.9390918416505565,1.9584518337782004,1.7996777296671764,2.197944604281635,1.8057444338197708,1.9295056683206544,2.0963990345360997,1.9087163919134067,1.9852435024881654,1.684339098678591,1.7202089772745688,1.5418212955199402,1.3617615218961623,1.5490240041240486,1.7810092216498465,1.6614720216806118,1.3858813996030854,1.8885230547037428,2.045512778422473,2.730712095892673,1.6207743027598445,2.200170138847354,2.4085147293895153,1.9172925737005202,2.3557914933018087,2.135511438422805,1.955404473203707,2.0611677684816296,1.444184979870813,1.8688859871341175,1.8237456642618792,2.2519481964333594,2.137330713570927,1.7792909160631334,1.9749437559849277,2.141567767572246,2.388706318245717,2.0974283056690415,2.097061613696257,2.3767155849779757,2.4299647607326094,2.7093404366335636,2.760703330814191,2.6814813724905227,2.9516618554985157,2.7118957964790518,2.8753345247617954,2.518720430187224,2.5822311840777483,2.2942131492853615,2.2685199868072297,2.051788633810631,1.9054820584129055,1.6981893416097096,1.5073134616239399,1.6831201708304155,1.322275029298919,1.2851444184246001,1.4769087572583477,1.6445146421453343,1.6776782644762316,1.9904557603350066,2.039784138131184,2.297902811517298,2.4711763889476104,2.4400157496825896,2.2668614271079552,2.1759809148754767,2.2812827644575235,2.2293981919657275,1.9697802354379073,1.7504937430620198,1.5411367774352471,1.5973141728005031,1.4412046721995462,1.5267078908528149,1.4741648024802076,1.6374683421066374,1.7409596956033089,1.8723672649698748,2.0385089987462344,2.06570111655392,1.7605725444058218,1.8066661947126625,1.6680234372863694,1.453331074451009,1.5165707416972962,1.4579083627348801,1.544841064013251,1.9439586890221854,1.9684250760003728,2.478503134174006,2.42748729868896,2.6329859441762915,2.1719084699100923,1.960273225822939,1.385657767724946,1.2682154397187668,1.7620177786423032,1.8816472474563,1.9504283698895097,2.06247296462558,1.93231914202009,2.3213672505148426,2.269749057747794,2.284746168581899,1.9952657333415784,2.147290612143999,2.0560516512843026,2.589921038957251,2.315490313484447,2.1759101145740125,1.4776862805253437,1.1428942636087815,1.2008308950477935,1.6588178564773903,1.5886668773866597,1.5036881548808891,1.57571370059609,1.523462279745196,1.5223878506401745,1.4448662289800593,1.3837871999224483,1.4130534589628125,1.3313065724826518,1.3409355605849933,1.4961675151969343,1.6754763338397423,1.4327630732219587,1.471865526738906,1.3855966127329469,1.4893027131595307,1.4915450363001161,1.5410601313454444,1.4186813358313919,1.398324296647429,1.3456945732230665,1.4720197220294757,1.750824397521854,2.0657758308921084,2.2724174716475205,2.6065006300891773,2.5110216278936894,2.3215908366182374,1.9634348322137416,1.6918451988082295,1.5585298750752592,1.4337176278488815,1.4768038392405336,1.499383708380532,1.4338202073137125,1.4186374931010934,1.437610915131395,1.5124239869330338,1.648422937435014,1.7919301155345109,1.8427512700889879,1.7843241321765746,1.4453201019493997,1.4368904025413554,1.682784550389801,2.161478582472247,1.8571533021935633,2.3839980087832564,2.669548896140608,2.5090419601554097,2.4364099287630316,2.421715723798741,2.536769939787942,2.5582715598352106,2.466930042235881,2.508614753105419,2.297009899179968,2.3327513323739133,2.1679215338694484,2.1621423946078426,2.31092369185737,2.218677999124312,2.0530482564963997,2.1865739017077597,2.208916532319429,2.02627175889769,1.9321334077556884,2.0321956430923276,1.9690489170208518,1.7948880819343251,1.8083083637351065,2.0091360937003366,2.195342175369888,2.084857013484093,2.362894874153171,2.294830416980373,2.2713913165205093,2.411987224697942,2.765489509900503,2.5357181375583777,2.453258002382831,2.4220897026160495,2.4501878124058414,2.404511652763359,2.4927135487867473,2.579095700858278,2.55636954638591,2.4813055902608365,2.6127605722475464,2.6500827538357252,2.5839134907991292,2.7189002165361553,2.740240584484582,2.7251912047995566,2.7603683494504496,2.539115870927434,2.3800619408583317,2.4141351235949617,2.312601250948391,2.2681965438489766,2.180326638656664,2.125111244416341,2.1361695891231527,2.0837027882776638,1.969584352495684,1.9459561155154645,2.016000268426258,1.8974421007239588,1.8329079476957024,1.8843747772819741,1.9566593316722432,1.81700158428485,1.770505272725698,1.8931897108361984,1.9358466441980595,2.085565932972065,2.1235059316737686,2.155418271010749,2.2681354176798814,2.2457540749627674,2.289336561692038,2.3638371291592875,2.412861839856679,2.3909031186186964,2.4520507235109643,2.5598910965616213,2.567488458346612,2.5393060300209984,2.6270706800356747,2.6917965162525146,2.7146008011544973,2.6965860126576526,2.6297238953377313,2.941277435062171,2.946468487315368,2.516281665647304,2.429776278688002,2.3322977570492083,2.0982395643153016,2.34289024372951,2.428857026454294,2.5550077893736494,2.5390400887388944,2.496186019496829,2.375425555446406,2.3772449094959853,2.1617184934622466,2.001851904560427,1.877628692541294,1.7798950263885405,1.6830010012836751,1.7078191079668947,1.66604763739024,1.496766956384365,1.4385593932479603,1.4405964939906117,1.3270008743200337,1.2463183296178306,1.412095231660257,1.928623737878326,2.1424169779618416],[1.1136391690094076,0.9389218278451996,0.8734318306427631,0.8044246063824251,0.9127070433623131,1.5212530755038,1.8970912297726452,2.441420301572087,3.1841636685899926,3.6730341219040574,4.2335866117262,4.085295062951368,3.896746229353362,4.510583808801875,4.7498999446179555,4.378753348399759,4.2788954476905845,4.3507364969446085,4.103772153773869,3.5213469763540024,3.312524274205913,2.7940987326212126,2.808741057249068,2.3754172411739143,2.3575318627757893,2.8905219449324875,2.6712768237767768,3.1846974487757738,3.6561689528136365,3.6863026913160266,4.520080982819843,3.987353226816954,4.272246396765765,4.298174409583945,3.8827845931488945,3.7947162299970163,3.28640329207009,2.837296314247473,2.270452848762196,1.6907516585327818,1.7307499633180057,2.361279411245114,2.106399713119876,1.4026335595883308,1.7405573678068602,2.1151200834091264,2.644729786470003,1.5241813652408391,2.3390065489412906,2.537497584139666,1.9159243987216583,2.3867917572373476,1.9745640462572223,1.8173707357114688,2.1228760119002734,1.7005308529952476,2.113221469618516,2.385749740253043,2.771236568980379,2.505901534578502,2.3621045482643885,2.945570346740632,3.4079610708424037,3.445828476405368,2.904362352666204,3.1887891742022387,3.6817423822967155,4.191980019952767,4.534731029757102,5.044456103040597,4.760549002188908,4.865412206730047,4.802985266227577,4.594408622392668,4.508334632646118,4.353315596002926,3.900566175946056,4.031946214380804,3.5982023587503007,3.071562611522689,2.9274623070879553,2.3057924942552774,2.649435203862835,1.8095521626952584,1.5579355278277036,2.2995158738288723,2.714020882501857,3.0984931924816395,3.5393130364129224,3.924835220494124,4.321808459571414,4.552332249554447,4.770980795137692,4.741711616851387,4.736907856493292,4.973655543935095,4.967608206366968,4.535202138397094,4.212174671083232,3.8334052933909146,3.6992413879091313,2.971445012821448,2.9472298728075894,2.209180100861783,1.780545114235614,1.3457116346607412,1.2396704925010302,1.2262667012904058,1.168436666755829,1.3025076664052366,1.1917381031265348,1.4341698429126228,1.9517634784616114,1.6828683930620445,2.9543447143023656,2.4908948420993076,3.381361060158003,2.8031184066961874,3.578573865745851,4.42135560171673,4.914220859073147,4.601889158266693,3.518499120050264,2.5767884255331777,2.1514538021143834,1.0430956051524927,1.0309218887728344,1.05524457934306,1.1478917407987328,1.1637546081496222,1.6956793003825912,1.6794176528941416,1.9743462132404226,1.3725051305475184,1.7184983021013862,1.376752526370503,2.230680763303063,1.8622229135223258,1.8276546202808788,1.137102635277208,1.683593677418295,1.40130301506161,1.8271946172779834,1.6374260583678126,1.7563669337179737,2.4436038944741068,2.2319625529841964,2.6759709489541668,2.2554125575973942,2.651583804953623,2.259912645991526,2.94901718330369,2.896274514084043,3.2825224003929017,3.6303302776286968,3.3225525858656777,3.364019079086234,2.7026263820132956,3.0451153488482503,2.0417801172204273,1.5596656296620688,2.067639336777323,1.2336958753655425,1.2903240537123062,1.4296628540319716,2.3659079241773915,2.535170259319114,3.3765340631379224,3.4493254468144325,3.1970025239734303,2.5098565956995174,1.780589946537392,1.3115709213097495,1.1598573832897843,1.506948294379242,1.8517419363180363,2.560753285817151,2.244914333139286,1.7308164364709857,1.4990787217830266,1.1839055211389333,1.2173163522794401,1.3083792461995567,1.6046064750115532,1.5902607422168116,1.395617719073231,1.4523149839655343,1.883813098448167,2.410141848559222,2.3745710224775567,3.1045250604638603,3.1320021692747835,3.0192432302809835,2.7445984381307102,2.5776247372799204,2.68451314675757,2.4719327797995017,2.1556854067930664,2.0374342572438326,1.5084344258631792,1.5426785575336093,1.2093190957144118,1.1938648510254977,1.4562551356407099,1.2433818333744717,1.0284927901051801,1.260436379367396,1.2832346112733723,0.9878029620703831,0.9483584795579358,1.0649935990442991,0.9811154228596274,0.9713005529660547,1.005145742505283,1.163974265485821,1.4269879084008477,1.2140504763186446,1.8372548210057686,1.555490612602203,1.4127497061683838,1.705233285039443,2.142544531090618,1.8713798637721808,1.8197753679453716,1.624611774862808,1.5888706079880703,1.5112282250171354,1.7939677235459521,1.9155548461711815,1.8882344114279168,1.8942187983122947,2.2639777880673924,2.3519909685337335,2.2219670861375262,2.5294212685898114,2.7771786891069734,2.66768493966467,2.709429981079446,2.119605431512188,1.7735358215738732,1.7366847890279713,1.468049999990693,1.3807893229690804,1.2634914884308812,1.3153944906787298,1.2300116245970292,1.1799529677719798,1.2896311764150308,1.2333376681156636,1.1051470057187494,1.1943627850634142,1.3302353212572062,1.0658732864939133,1.0210941702520584,1.188908508455663,1.2522491935850257,0.9692993378852582,0.980543713684251,1.035429800474646,1.088883069294403,1.1482987210315956,1.313203703554109,1.2737300222925265,1.2870970019844616,1.4935282180786746,1.662491897143124,1.6311381972635282,1.7951093261147064,2.0671068892828304,2.1849504007511067,2.1482984520790613,2.365828726437294,2.596330213176101,2.662136978521694,2.627816809366159,2.425288532162087,2.999465860856307,2.9990652837669374,2.258664162607172,2.064446071704895,1.6934603072093186,1.2470094155192333,1.828235083608876,1.9936214820417704,2.438508902675319,2.389954067559623,2.0009800826404742,1.6057604669970893,1.5927522396811753,1.1627757924153697,0.984797722075825,1.095995261749967,1.1812696219822432,1.735027582136094,1.226118622231855,1.167103406457504,1.6056491823963477,1.7054482597513652,1.3537823747318076,1.6944804139526581,2.1425842788653306,2.731449559285204,3.2424994520682855,3.6390998583830956],[1.6379765753700102,1.5484270092782735,1.4740220943659912,1.5363752181161627,1.4110427565712724,1.4545205635219616,1.4863433190817277,1.7281835412458966,2.209938569055522,2.4677663803700876,2.94855201156501,2.926412040259931,2.7644335203683212,3.1235940442560923,3.564206392215956,3.344137052790885,3.236478021736447,3.5937931768906344,3.7353038814140733,3.2785976238309846,3.3044084162822376,3.026960827960062,3.046070268862567,2.8107327888669906,2.5937790169379378,2.9692925388683613,2.6309222492483983,2.7013791504438855,3.0237176729714093,2.9326942562515845,3.664337691492746,3.1692814781150798,3.4372076103095774,3.5919253094528463,3.272207635442494,3.2531656440648375,2.77515891951444,2.619179332361361,2.2138653484399566,1.9599321077316274,2.0287779632429612,2.548024039801393,2.444773044831748,1.7070496825107735,2.038833902472223,2.461091517782905,2.8657984066168534,1.9561938969760981,2.748503086772584,2.6961379308788134,2.2353884927044776,2.4785167217329347,2.147568401113785,2.020997026442264,2.129791924314669,2.0449720840566354,2.507191219591501,2.5237019521367254,2.886983988019357,2.987582209611503,2.6522079176056748,2.9903581965520014,3.259256900679226,3.366285790837007,2.9857815252534494,3.1514771618418216,3.4656228683500223,3.726222731638615,3.9529302672339686,4.110305366588378,3.9159615227433395,3.996062027432202,4.014862112808479,4.029328687467464,3.901281071178785,3.917399703135583,3.5574453864144253,3.6238652716608923,3.3107269031645368,2.9789334030225745,2.7865579274762364,2.3749294199618722,2.5435366155707415,1.9008680707658918,1.707594341747805,2.166568577016834,2.6320196013138037,2.7877432722260456,3.217168922775655,3.4348425721795137,3.7178763470039637,3.9409168511663935,3.982874028040775,3.850671840132949,3.7265451390743833,3.840828967518268,3.7170141495731652,3.4619238846928218,3.1487175577145012,2.86986645212722,2.8590217976573924,2.278597637039647,2.373605690139688,1.7459057047776134,1.5180891573078148,1.1486146668427875,1.1277822431638567,1.0952791982285248,1.0884629197575377,1.1211729342287537,1.0976311900242077,1.1272327163996074,1.3838881212891185,1.1970634888189868,1.8852182146186318,1.4800403736348977,2.3277397483509077,1.8675616903812324,3.2722399248363954,3.600437785063586,3.645741736848355,3.04355513577518,1.8730177153277132,1.5390322855773235,1.4695105328869433,1.1315809248675208,1.20758982181435,1.1015180225959016,1.1635812080271615,1.0308720200720414,1.4405748279511166,1.3640742058745177,1.5743170377881879,1.1498641580135895,1.438026440558106,1.2708326194382742,1.945555564504604,1.7627091799111678,1.918635461382695,1.3549512521424063,1.984475817799671,1.9197209957087993,1.7590216759101285,1.4138886374085713,1.697476830194405,1.998681841537364,1.644578931909852,1.9055626790611138,1.6046420589453751,1.8319244400516996,1.6183317927324439,2.0892828939355867,2.1105365655399697,2.363192685553098,2.713081904366305,2.46336788766106,2.4787539498675226,2.001442134500991,2.293004301621112,1.5477325366121462,1.300854195501914,1.7125366763248184,1.1748951829525893,1.358897511376152,1.4921934137503812,2.0853177361732893,2.0643851155374757,2.6475933244800167,2.661469691310712,2.5554188820574053,2.028941672119418,1.5949025579514988,1.2674001053745836,1.1458048629039836,1.3860286864661278,1.604180773174808,2.0966319935244413,1.932919218648013,1.6623510529025947,1.4534058995269759,1.2482368955588647,1.1116519998294179,1.1778137487041724,1.401718789715477,1.432033263251774,1.6364913825404321,1.7917666318500083,2.127755512410618,2.5898620326898616,2.2508369166382614,2.810758423831762,2.924670406343126,2.4870429655762862,2.1515679131484617,1.9795940373824936,2.049217340345215,1.9266126894291982,1.7007010520822858,1.6898561221360984,1.383781258965714,1.4172562890865226,1.238374011396316,1.2746533923282641,1.4834033743011614,1.3684390667655328,1.3231625904647755,1.5797566695027985,1.5380226426245485,1.3813290582406974,1.4836438425940868,1.5947574918162812,1.5353895443302685,1.5444687291939352,1.65203525617528,1.7667536586215618,1.9184397149458976,1.6515564847932698,1.9880959543362358,1.732363950486116,1.687810354454578,1.7428659312360546,2.3291120867859068,1.825730026436174,1.7175317255242213,1.5833291817812845,1.5465241311476217,1.4637429007036875,1.5827065513868046,1.6852701651537598,1.6973828961835673,1.568219916055322,1.827793617690923,1.9270822552979852,1.7866118060046245,2.0222711089308283,2.1485280147336105,2.126160791736214,2.124990442420253,1.7490795155092285,1.4889773431504683,1.4756225330786126,1.3412280975031734,1.3653417501751886,1.3042824927393173,1.3351991831789203,1.2386791718807502,1.2433190190459542,1.3203718561936209,1.2608268709831219,1.2751408450773067,1.3375064710205533,1.4431797219311129,1.3644554040499632,1.351142088386077,1.4291663360437836,1.531155971189645,1.43071279166642,1.4136666732819454,1.439336510584498,1.352988087497671,1.3072256619905969,1.3439233359463085,1.4390323689486413,1.5265067104657217,1.4925354874473389,1.6255698560028544,1.6819983163315524,1.6877003785401228,1.8129403153586263,1.9547686781763267,1.956011759347981,1.998994661359814,2.149987472667258,2.304511320315716,2.3117310133104096,2.2479918155075658,2.6748744847589156,2.7806297674186577,2.2525297363315735,2.220886314758922,1.9283840447693636,1.7713245676284584,2.184084234126674,2.114733159798974,2.2859219234600396,2.130154603435466,1.8807347049919234,1.6667586608030573,1.5262357225277736,1.3624071491113,1.3330438666061903,1.2070179331134674,1.2439276741953014,1.4626566336169358,1.2900190796907272,1.3633737955242666,1.4644031015536607,1.470855965062317,1.4730322528764455,1.6043202539341757,1.7247893974095985,2.055075818264159,2.472720983996535,2.9535756468286607],[2.268888429135116,2.3759716872650873,2.4724827925465895,2.5976861367537807,2.6294538868193764,2.1079298348463027,1.8838755986332236,1.578983428387998,1.6418595986004072,1.6678685092419314,2.172914040203754,2.1843697845157926,1.9437907593438069,2.271317654978321,3.0011656079967217,2.749792297455486,2.542261127031068,3.3098097806145605,3.776001115275647,3.150395518016443,3.410212614890354,3.1426030892045,3.1878836273871167,2.988501908010549,2.5555459756920254,2.8149883181950974,2.3053336780825804,2.072967993913672,2.503477564286292,2.3389641221518973,3.4218659896498456,2.6775324786542174,3.0864459592360154,3.413472347076594,2.982262503246113,2.982789606599818,2.3309155807408084,2.2997746616900656,1.9703694431969614,1.9459585075256627,2.091093061425598,2.4703683711077145,2.4761726190166997,1.972196800641583,2.4490739339075844,2.795656908164319,3.21927966143784,2.297607117160192,3.0755451659851896,2.9004213787046154,2.5047459821072833,2.6582359211027713,2.5070216043312263,2.2895683359162913,2.31120612598278,2.250481364010111,2.650858266772192,2.5652588631657864,2.8627572112052,3.0345272601071556,2.772099748227171,3.1642242238107245,3.3790635554096244,3.6498141314230823,3.208248571895962,3.220769214172773,3.6775281447935844,3.847702062781223,4.270822475835874,4.283869880883362,4.186298730081838,4.414708738827772,4.3283448329174865,4.412537639356717,4.094202336469234,4.165632854743952,3.681222655953679,3.7092501448533803,3.3072744288275566,2.9654790481895614,2.6267981602192623,2.223705825156353,2.310914744130426,1.8017205234188314,1.7653643674989963,1.9000257828199267,2.430867559143599,2.517932671533011,3.093701853430802,3.344807226651741,3.707708038145081,4.083423843501317,4.021288925408013,3.7378337736620137,3.4650320119889053,3.6660565479942755,3.3574703916255855,2.994692155357162,2.5141608107827644,2.2208902647871476,2.255581453647007,1.7124815204139976,1.83572917156569,1.4598224544624974,1.4485997873287948,1.859989574306253,1.991224823547986,2.184778272183309,2.282925995277833,1.947570190194158,2.009549293500627,1.8300477460939428,1.6686494053479792,1.852687815248562,1.3891423089483648,1.6886779836517674,1.3381608161480356,1.5082281140578395,2.7273725887266274,3.074139714298667,2.6486996956946984,1.8737327091382583,1.5920583011691083,1.8329881562587864,1.881508679442356,2.5310015609525767,2.422563554680198,2.417896984985705,2.4652050866924005,2.175027425947017,2.793694160453871,2.655552818743797,2.8316757413719866,2.2980264193441493,2.739268070629427,2.6674492360510205,3.385982498898525,3.2903769837501464,3.5470168229622514,2.9113686365000886,3.2738530913553423,2.712736259938266,1.9043473730877356,1.8535627567542132,1.675396667970533,1.5603372614364366,1.4685744955978037,1.4096308476472723,1.4320056435870046,1.402165500331712,1.4658805306696774,1.5991413982794573,1.6319055660942783,1.7926443321804915,2.0327552595862826,1.799447153345904,1.768614790892768,1.49041816636702,1.6412072948270182,1.4557489254045999,1.6328295266596544,1.5055452834571774,1.9308924863938046,1.778268799460505,2.370577936450175,3.137731549413601,3.1236061401127464,3.5142418289553086,3.69026874131185,3.7014789984485543,3.2856752300784553,2.923692249108822,2.333637652668644,1.902836769970757,1.5927673731936847,1.5156339167403556,1.6549313354303847,1.6604854363229766,1.6092574304857432,1.600483718007793,1.8350740904738587,1.7800601170159736,2.0722709786455513,2.3210313293545997,2.3836620287596646,2.1387838231684664,2.0526932572458145,2.3845564162427406,2.725263515841757,2.822740714537813,3.3418524893871924,3.4634752106024176,3.3187803831843907,3.1998184219037378,3.121693369898581,3.2291693303177382,3.2297988930267367,2.985196261689466,3.0080111195875245,2.6707754884608783,2.7027509663522555,2.415882190656288,2.519401656714303,2.786493307345366,2.5994060996561417,2.4452287730618214,2.8122906783595023,2.755652635938507,2.4304866062145423,2.497191213372662,2.685219328014422,2.552447442635522,2.379493316501751,2.550816193257601,2.7650905932070513,3.0172510873943708,2.708783699223302,3.157303547271928,2.936826383114124,2.848699964901789,2.9410538542299225,3.2489122474372496,2.9662234804037513,2.881399215447366,2.7634030190131598,2.6819254334271556,2.556432386961155,2.7163936652417093,2.90268007061312,2.9178905067290097,2.7637533237092846,3.0154661849158186,3.1586728811536924,3.0497110780455867,3.2043421604119895,3.344988009603561,3.3397963752695228,3.342558679941709,3.055693914584504,2.7224603446296274,2.6567189123480226,2.455187893237345,2.239967356592539,2.1799300681781113,2.062127002023508,2.1862667609906294,2.1896273479140564,2.0218397774213317,2.0289086082874497,2.2404682542379355,2.0976934130927796,2.060540529486004,2.210821861342637,2.26644589177783,2.1284120057987335,2.1908774279799643,2.3279392863321333,2.323003127290189,2.4675241373805648,2.4345615404605017,2.402270758081727,2.5108175086631417,2.608543606794183,2.704141364998823,2.717080584660741,2.86179625671579,2.9154675552387075,2.969983013384702,3.0702950979166252,3.2021988966153736,3.2223240442548042,3.2689982168656857,3.386908268365326,3.4918992776421884,3.489739706475956,3.4368420652968457,3.7372343077358487,3.8193966341128918,3.4171231530893036,3.3777576058832333,3.142430530972762,2.918607436686813,3.3265996324060763,3.335749926031408,3.4845812216351915,3.3742854279365693,3.149315243226492,2.987538715807073,2.875553378118568,2.6823777878312374,2.4864282071330295,2.1294478717244965,2.0435483196083863,1.903585149018311,2.0816928050176986,2.1246217034025747,1.9530829666636356,1.9264592878221451,2.139990720549367,2.0263717722192194,1.8186917605549837,1.8460907445326549,2.5250651105213766,3.1496764567913886],[2.7742041513996285,2.839074482313326,2.8348585512901954,3.067870300408178,2.9009966905869593,2.607700402298731,2.4395953832862705,2.297141414013058,2.448560738350292,2.431055025768576,2.9487265188095355,3.092600602559457,2.7508691179142306,2.889934719106218,3.8046058703742878,3.5899631899343105,3.0991800489420536,3.8820869604892985,3.871264355398102,3.314817969589196,3.488339983751286,3.24765809285916,3.2395921792571514,3.0912776135348894,2.5909827746117124,2.564306725758176,2.210510344102311,2.037008155597983,2.8988192450164387,3.0096383966405686,4.345447617397394,3.5983666913573673,4.1174486738604745,4.3816488615301985,3.833605657632993,3.657131140076941,3.003220010255209,2.6106528517958285,2.151705747914803,2.1438304885106008,2.3203260750463555,2.5721326881718447,2.686152502545745,2.3382835948074376,2.889301549105159,3.207431135720291,3.707420094260342,2.727485323008531,3.205365999596828,3.05034984808733,2.770941531817192,2.7770931464781023,2.885516037510876,2.600704408878924,2.8843070221041542,2.695114919294352,2.9421367297541248,2.9358240434058107,3.202527519020032,3.3525326939315314,3.1363889928398825,3.605376896691652,3.916778515679165,4.047401530671654,3.521764009772256,3.592206961987244,4.042823656667567,4.46783930869818,4.911772106801624,5.185735653816324,4.893213568842715,4.884099907258671,5.088202054493281,5.002901457722966,4.903223795666114,4.885127586768711,4.330269379395086,4.469299050161457,3.9698801467696563,3.494693330231462,3.214170467599837,2.6817182407139297,2.7703836649634717,2.1642354063615414,2.014219496337459,2.2891653889065093,2.8068794042880185,3.1642470298067096,3.6742440467033615,4.181982600853472,4.570696638967995,4.975257034887289,5.0011476506773125,4.778086231632227,4.501305628024662,4.721511537556311,4.320815478898291,4.0370506502633585,3.5221117986880417,3.2956726218389174,3.2332669829156107,2.6133812470256292,2.61086160505333,2.098707806457511,1.802321127443306,2.0446159221219538,2.0900272317096062,2.1847463020182896,2.3079088548998175,2.090438933555789,2.2307812828477807,2.0701851999279035,2.1422598778754587,2.1802189763849955,2.0025383972412403,2.248827197702689,1.6746660741211905,2.3194143549544677,1.8705109159697328,2.9254343867748664,2.135310204777543,2.1120783222528767,2.6061729722922906,2.5607672414435143,2.50743774351373,2.835133584101036,2.7230083858975687,2.539601064586724,2.4914471968017273,2.182496525260546,2.7242472128930086,2.5554419223390017,2.719948968691653,2.229174645734821,2.6628422845914823,2.637149419331666,3.351833218744989,3.316386525718588,3.6465469511179363,3.049499944053895,3.750630624715051,3.448143491241138,2.4076977065774674,2.227180973717262,1.8497330090271225,1.7954973053765109,1.7816921574332458,1.9226741300638117,1.9346091068312627,2.102173202365732,2.118825234515,2.473619656261937,2.5447864297684073,2.744067355415747,2.967628933139013,2.7774292500620232,2.672340630869564,2.312677395012982,2.423678356308286,1.922801965977239,1.8376503524304348,1.8447286659598299,2.0861643167378032,1.9248137832374976,2.498718312708302,3.315528313630496,3.1885172336978997,3.6722645966445526,3.748299906036756,3.758757351482057,3.275984661162502,2.9471430332025226,2.350881747713734,1.9815822305964144,1.8342677371492557,1.9178346667795239,2.242596782822749,2.274668155772407,1.9687928455223758,1.9095504756450872,1.9335407034806056,1.884688036940345,2.0756872667667574,2.2659936181970703,2.3554836445906813,2.1801332947995182,2.1925358373104475,2.6908243580137183,2.7216421665652044,2.8320644353886033,3.245111802071026,3.4386213775115295,3.23157311620872,3.10039769656086,3.002149407618334,3.1227926250634965,3.175225694020885,2.893245372687808,2.946195656698615,2.619468448732826,2.6675280924763913,2.4296866248202664,2.5608088099250215,2.8259931764058828,2.6516019315408847,2.5874676444774924,2.960793455854947,2.882984497580559,2.610305732139776,2.75535730111971,2.926349024829801,2.803227572496817,2.7292437005384467,2.9222074098481734,3.076806057148829,3.2524775523332616,2.949036142725474,3.3444742239832044,3.090177392157549,2.9936301290720384,3.0008569801466485,3.2971603278476693,2.957155057545966,2.955789905788191,2.757326646809367,2.623183815880516,2.4748752008427832,2.5499252134764796,2.783378036331391,2.8408369633505113,2.625741958392608,2.867338471879545,3.0563701343657637,2.945123041124934,3.0339934771033943,3.287371296969802,3.3047323541998463,3.27822643798601,2.9951753770671576,2.601829361282323,2.5247426433825115,2.358475242194027,2.1444563790514897,2.2031588871089287,2.130853781360651,2.188491045192633,2.274264183846633,2.2170557202662105,2.213646259855104,2.386619114463382,2.365577082918454,2.413745735476303,2.491475146812574,2.5007913343373724,2.4732156050330096,2.5777795509401518,2.599637168710441,2.563989290096666,2.6499691985566134,2.5579876592563333,2.4840668296843185,2.527339162077604,2.67846163479767,2.7897162477264574,2.72227116424178,2.8801699485633527,2.98085024067065,2.990047466849881,3.0443746510022183,3.233220528684273,3.2875921149084233,3.2754208892477914,3.404431293617703,3.5687798253133542,3.578638178823545,3.6093636479053752,3.983160768832965,4.1600431524298305,3.65756077630343,3.647875323991736,3.3536448364164633,3.1988517128525533,3.656430126761631,3.579859245143985,3.733581004028912,3.541915236304021,3.2331288343560316,3.078966312589195,2.8721592388441124,2.7532871573053095,2.660101664316881,2.354874587946213,2.3419257378255907,2.3596830582908286,2.423673272956892,2.485549860948187,2.474930248789273,2.4538252201131514,2.625724327761594,2.650650362090254,2.5814064588990187,2.624567706383768,3.3190436325541723,3.898461145934107],[3.9411590973532546,3.9351215839138036,3.8202180169363986,4.06831236874877,3.715158156810547,3.710234970829744,3.4918131238592593,3.226082523464354,3.4572474494975944,3.2890857720525455,3.5440664196943343,3.495832101122086,2.9744803024842765,3.32316066008175,3.641375515606773,3.2638939270579534,2.696214475500097,3.16346164306705,3.4017621263217332,3.1392016146092674,3.7893320385510085,3.843530484992809,4.113111562253923,4.263190567331974,3.54881756753973,3.20480760110526,2.5778996767622466,2.017836039180694,2.429519094813368,2.594531965186694,3.8312667798985744,3.212953308398224,3.7586762391654704,3.9861704184898503,3.389474692949878,3.194776049895601,2.6259511209613406,2.5151391519835498,2.38628300970116,2.683085519915923,3.0557574785526302,3.103774319759434,3.3715812506882936,3.232589097676528,3.7646548406786917,4.125527934144287,4.584974324151584,3.678277354171173,3.8901370756705664,3.7764142965649383,3.5646132189200497,3.468714737763026,3.4833323425881564,3.367936590595004,3.457173600230477,3.3220443204674135,3.4805439262860776,3.371279392568485,3.6214807018940753,3.7540254236418256,3.6017489354968717,3.9069963730278814,4.010596667034483,4.386641555460588,4.005219054813201,3.7706862467357634,4.143594119270849,4.105928470217173,4.490967037383444,4.597703395225055,4.642922546692721,5.2273302732209865,5.106033122137458,5.079854114262139,4.640712541123613,4.853290631724269,4.202769834302185,4.300739772464948,3.822280449890746,3.5282640769645477,3.0841104142548175,2.8048046804121656,2.676049570286941,2.395504412185431,2.3774035760919956,2.3218182325287513,2.794313116606216,2.893133543085478,3.4002054484008672,3.8653770719272167,4.2163945166897525,4.775189909397206,4.710438841316609,4.460273931391083,4.166745190916558,4.57068476222406,4.267229089939033,3.828818547569837,3.482975754011295,3.3736942475302083,3.059695086359217,2.715841493236202,2.456925248447742,2.2870072863174893,2.06522231966684,2.498544039675134,2.5643065494268567,2.638523662611458,2.861480538902286,2.665544881235932,2.916959580819392,2.6644608906271476,2.8912363429436456,2.800474085541429,2.6424620583551146,2.809154718411135,2.097787074355829,2.617664650615935,2.23605521132327,2.328609551214643,2.247985820826866,2.718243498242909,3.4298857532270555,3.416174402018905,3.453441357996462,3.405355577448467,3.480969181440231,3.1107506618867053,3.032823968925054,2.631464351461164,3.168661765311363,2.9942871096779675,3.1131136802128903,2.6680452403506507,3.0471606765533785,3.0202572883295304,3.680166738532019,3.5706601781551943,3.7825737306572336,3.1986446436738163,3.750172445163354,3.896934717148785,2.9392269270529447,2.6339165506584368,2.386981853129842,1.9901080440962486,2.1299607289276956,2.210056848513067,2.3560060361605224,2.7075500795237812,2.7298921334832205,3.092171190092537,3.0247651064138537,3.302358966740923,3.319255442944146,3.0483817626173346,2.8979546509932654,2.622948715705978,2.487452425476512,2.2920369663402576,2.2435854342628394,2.028023974278373,2.4855642177501207,2.4218027257092998,3.02463445208501,3.645368531180675,3.560748892501063,4.028206014498717,3.9998909186093554,3.958960802172242,3.5644412091699462,3.2548995043413096,2.7872660834921743,2.405185638281246,2.1346916289622806,2.06551879380455,2.137231983675052,2.200775356990734,2.1446369548356654,2.149577977414233,2.396643896582548,2.2906086407562887,2.542504053683487,2.7800784203970634,2.8634166055630317,2.7775836749507627,2.825086427482736,3.4323137165583852,3.4678911523617235,3.411638091933433,3.673867350184364,3.7931087616370096,3.5758931475776903,3.448528021744475,3.359945104986526,3.4754335967489682,3.562933329464007,3.313252456108231,3.4434672468584737,3.1795284071553325,3.2698063182413377,3.1211208934693637,3.2561824289774046,3.5088429364504408,3.4010796035452535,3.427758228582023,3.7647351811112966,3.6945315851123786,3.5209811560285087,3.72872592046616,3.87599247967322,3.7952350748852766,3.7976558452001616,3.977814477295969,4.082266816156631,4.168266829879487,3.9339237374541685,4.109573660355467,3.872867792294535,3.8288685538170593,3.7715654866862436,4.072952558365873,3.6934457868521036,3.5113598609733185,3.4344498082751476,3.2743059520649633,3.11612700306084,3.1585782072601885,3.4083839335881776,3.4522856427971265,3.1696907941380514,3.3635841569574665,3.575065772851528,3.4519674483687197,3.549375523838375,3.752214360350932,3.769580913665249,3.7322779968267263,3.509795270283878,3.0731855021338035,3.0405339482106024,2.9763950685548295,2.7466404369133506,2.8474625224918904,2.730418637511226,2.8345615378906075,3.023792615234113,2.9637075515857862,2.9767512246105263,3.219304304433741,3.2523608209670942,3.3490309384058112,3.4479284471141556,3.445785272045022,3.4717443353163784,3.651275933651674,3.628667756218876,3.5645358385353663,3.588167361712415,3.430391069627239,3.29761123067644,3.283198581735226,3.499499354350378,3.5983676423928115,3.4255267937863945,3.5853084128112096,3.7086494647627735,3.637275284160093,3.655736506420305,3.8659927497064204,3.9093780924362838,3.817843420992857,3.9274904717591728,4.134610373709775,4.156905201726405,4.207192806670698,4.521062240334307,4.6520641056134515,4.334528887844189,4.350889162239303,4.100844767339724,4.05733746538801,4.381939151926405,4.241993908551547,4.289366145565462,4.070486582971491,3.843513589948228,3.717616713847308,3.462955002949862,3.413125959636039,3.4872754288595327,3.1630743716492478,3.222299568203361,3.165973448320284,3.3400824053867724,3.51868533705226,3.557167118231883,3.5230165511024305,3.7969823901468156,3.8720046717359033,3.7266534073228645,3.776551309624846,4.2845111139388266,5.028282595773494]]},{"name":"Protease-ligand interaction","means":[[12.477636384075735,15.888628565989888,20.866832504007604,21.13548929163265,26.609136441110795,22.893010304934943,26.466699504882616,27.676771839245546,26.7485746863658,30.623724433818808,31.80131603742766,32.5543896866083,35.56641707772877,34.350593150029255,38.15568358881099,39.96422189743079,40.42682500398687,44.71876322996912,47.881207998108,50.291009322262006,53.873705892586784,57.6352849713477,58.680133906287956,58.27597874199655,55.397198401114146,51.32924164346057,49.20832632698606,45.10243917514919,44.86413075004547,43.274425493729396,45.327817300626705,43.88763038694622,46.14489907204451,50.62127268505077,49.410934915559245,48.97942796698434,47.52332506328142,49.86205196394956,50.02459764233608,55.52855227244422,53.57760003076418,54.39654862894268,58.555829767221915,58.59816447371752,60.65640777987633,61.69140652072607,64.90201232626833,63.7019370403016,62.0969231176724,66.42297725978318,67.21666295865646,67.45196450073209,67.4426459358488,62.92766441331507,63.52154531930284,67.48325991243631,65.40527902307727,62.10177708769763,65.55220959583579,68.21718731963333,63.77434622145334,63.962581404503815,60.97130410264591,63.09012189553914,61.698938212016955,57.721636033980175,54.73890893862514,50.97047068038953,48.661746696541925,45.2349043630871,45.10118687848811,46.86431921532267,48.40426897140892,52.453326014948104,51.198502301889654,56.922249219520054,56.55597043905913,58.27378058700391,57.82293583443289,59.686918228953054,57.02708297672946,57.340636159173116,54.25804175013757,55.02249341920097,53.056064362280594,51.34175811620104,53.65560361681932,52.84964436389159,53.31122434594561,54.60094719093488,52.46069690262513,54.737382196299734,50.68215970330892,47.827039923395624,43.489038281309476,42.55933592060716,38.77147536990652,40.7741643229942,37.79482196478202,37.11807402519272,41.474780991629835,39.605810538272415,43.60630115092065,41.09654884053955,45.25379385545233,40.44574986146702,41.69022220158553,41.806819233784964,37.44857658283899,36.734463588398775,32.87759422603464,35.278877339243415,32.06722904456608,34.769676265289185,35.42796209507471,36.89961301243282,40.15193834215902,41.95122777446841,45.83132391423993,42.94119195433326,40.24468057368358,36.93848251846127,35.78593372797198,33.37502564731894,30.375560321089196,32.86965949735386,29.161968937217026,34.18115761944918,35.70310564542908,40.183826653458155,39.82236002414758,43.07904505377132,45.63896412490885,45.81639366285532,43.58480713174047,40.316531918410575,38.389577586556456,38.69387396357299,38.41598315933746,41.00181687542223,43.49295007925728,48.022755157993224,46.44975448353009,43.96020854366242,46.9200014358878,44.21585756417591,41.27216012614745,39.112972207878315,37.62303734597649,33.6028099550843,33.047725656573846,30.516091826052357,32.8945322882714,29.65701293325778,32.769829920334544,35.22473654148662,35.504840034479,36.46149295051654,39.07117324665557,39.21171592981081,41.288591015376554,44.503276575832984,44.03293544554506,48.158837812048226,49.203835467818436,47.42959863712433,48.85709294735755,50.97284066331333,47.60266011236363,44.84033764158069,44.37094688471256,43.22479493506745,46.102289652344396,46.27744065243245,46.75996009091181,46.473222625293396,45.132777035971664,49.57554270390421,50.48780060310068,50.61432437667008,50.16244159508262,45.37346786671231,49.89859702128684,52.71228062138421,50.919133503708544,54.660925474198535,54.26689672450409,58.263765234716956,57.889739232555094,57.83997988101723,58.055658491226005,55.15044949682353,53.1999300941261,50.18021158586147,49.24235158406629,48.22404083497662,43.521483035532945,42.941636007480845,39.05735250638063,37.141422771626964,37.27111671029238,34.99928460474532,32.856607779703324,32.56078730023369,32.47722942903472,28.590634396870033,27.31304496148355,28.526851423706148,27.5550298177381,22.920772229755112,23.066670179538715,23.201049671750596,19.96868419122943,18.27501367635868,20.140969812428498,22.789908810657106,24.437620575752703,29.009013005885826,29.444525564822797,30.26253401365857,35.5234506261925,35.67705020962539,40.45631835712704,41.80838774349253,41.59094330687376,44.36734835708394,43.09120810762812,47.786099325944306,46.12702832457996,41.773466375804986,45.44651080977761,48.79385748626091,45.16773079666804,44.17260895352368,48.21955768050206,47.74128030165591,43.443857157469104,44.80410530567884,40.05081382708587,42.56510911727171,44.01005805420928,41.035034906145555,42.54414401847976,42.673690388405305,41.17204503648666,38.55737659522944,37.29177149970204,37.044852843997404,34.287916434805034,32.136955419712564,31.330500197743515,28.80867868423562,26.74808133363925,29.4684227949018,27.696249919531766,23.168446699358128,25.105040613625807,28.20185248775278,29.30959176868443,33.20086505790735,34.57543086886212,38.20985807070132,35.08362164251451,31.89096604877107,36.9566434906357,37.36445022676975,34.21874215443223,35.729089680974745,40.759717738241804,38.62137801400996,35.21930532069773,39.21317567006856,42.47740412444642,39.649542048400086,37.257305833780826,33.09025857407605,36.29959500191285,32.627868695852854,30.32452458166219,26.891653782728966,26.71528942045726,22.93169150979436,24.184253523609154,27.466376640947537,30.855880021103857,32.63050693248781,32.4972050750943,30.936536694880314,34.25901940971363,31.685023275686557,27.655273187458878,29.969009294976093,28.453440803594038,28.890921602304214,26.657282530289205,23.45517534277347,22.830398686607822,23.962301948871936,19.42386360668495,17.597848899368188,20.180181156737593,21.900853794149498,25.074064625720958,26.048267617581377,41.91676253820641,39.14973080930888,35.22654723892888,33.65909016891118,28.92877919284173,31.70760888337985,28.360564777043866,29.633202953623275,30.731385072577176,27.368106655900206,29.488677092475765,31.035997499407753,25.323903656075252,26.510559819615537,27.44652620698801,25.469115266215603,21.44960819216156,21.17403821467472,19.098060836024676,16.945368368490286,17.21012960156442,16.32731942233594,16.589615625651692,14.56933073501948,11.98779509718942,13.952443831391243,12.533227246595184,15.143301186900148,18.38603408343056,21.344354801958143,26.272808582464833,26.36480199727121,30.24486072373005,29.689140531862986,25.535557888600835,21.85362742951135,21.52594460433863,15.909904485155066,12.417029320060118,13.116979310011752,8.354357587000038,12.332204100707104,13.722820010129363,10.364740960188351,11.409400204684433,9.266467439178792,12.470063494726698,12.043093996062161,7.099588924097195,10.633964144634037,13.399866498338575,14.830737703327282,16.89416432086035,12.725167988742115,19.1613035836916,20.159560373335268,16.89938450819933,18.852820310822214,22.99240160199055,21.48376001138687,19.75843685427429,24.107767205171022,25.321939154122873,25.915284297051684,21.53715792987784,20.13930400377088,21.512702267297108,22.474574011395116,23.352308898534293,25.998468851595913,26.10762734183416,29.482782303423164,29.09955675184269,27.4153272157892,26.814958212188166,30.19240401803528,25.534315716932678,29.238614670491383,25.698858439195547,22.961704745795714,22.485898552763686,20.33251279334729,21.355474725356522,18.717362886684185,14.407454946570219,16.865668281878186,17.441146245396606,22.249931494683523,21.63561289221435,27.777001461980873,27.55773100916749,31.715751940394558,31.57339423017829,32.1398171529209,30.067043920306443,33.55840903997829,31.81620974593984,31.344095600409855,31.100746256414514,34.7408760552818,29.46610907066653,30.054950394288053,25.52322972121349,26.094536020996415,23.01358554746592,23.778929287962818,26.54749596568083,24.721254733616465,26.00348762103339,26.66970834244883,26.576032430465588,22.26731784343609,24.11947835419046,20.18467340511899,20.90925791055763,18.595721373872877,17.478629929188788,15.932062462146854,17.541784627347084,19.86160834695892,21.301779915266152,22.425677449609566,21.020887369755812,21.969828495005867,24.20488536606328,20.726782760243715,25.283913754007926,21.83152045655822,22.509106186119112,20.622780801695104,21.609906891281188,23.049074335053728,19.001513013884146,19.315601327903572,16.293984615463977,16.00862956210355,18.539336341829593,16.16784303777736,16.05474171408527,12.90150641148271,11.483717367724534,7.75156116132881,10.955530121415217,11.851153178990604,9.911809189995266,14.246177407923629,15.237102662749129,18.84634236214674,20.65268197640703,24.602599129169974,27.474054507485892,31.22151126929004,33.758797531891275,38.73511286553525,36.42404542633894,32.83404075340124,29.02842044175065,27.73646881241275,24.274477342611927,22.327669637527286,16.683592788821013,15.321224776052436,11.17830984056658,10.033870480713762,6.724928656742341,7.687207043177916,9.879650353841086,11.011499888625224,14.158081067687363,12.608307863939636,13.066331471210411,11.8200609585873,11.100328496152976,13.307108345073207,15.456930656656105,19.524622403998627,20.41328657419933,22.772998090723853,17.898433354944164,19.068390331595403,14.00526381001178,18.193838611689593,17.018484489284187,16.06733593851161,12.908830746629105,10.782240807826733,9.302894282955663,10.348079660376374,6.784254634778111,9.303195105901926,11.279384675863216,10.246563445190068,13.644183211790578,15.748596353955334,18.85973129844795,22.424712941644547,22.157574414468236,25.221005643308303,28.18581406707619,27.964754579047412,32.70184125951105,33.1522273022252,30.99674252042571,33.81486853791357,37.15256442310074,36.36390710735986,35.61705433767702,39.227822168255585,41.646644372388934,40.057510833508616,41.904637686324925,45.05927830064424,44.2905060577133,43.91640066195478,47.102547877194844,44.837560587800226,48.84612571308895,45.66250575138962,43.99816475210766,47.2887762363171,48.20347229114695,53.28894109241411,51.31542279535665,49.39604021095364,45.72050142292923,45.38241745968111,41.27760468580505,42.40958547159069,43.983999667522276,38.98616092412497,37.40203230573668,39.63822055202309,38.437171833537214,34.66046082799918,33.49493060601183,36.10279152180152,34.89274840182397,28.96501336150036,31.698429568399195,29.367514758081406,32.805803679150294,36.2731986091656,36.3654516544387,40.93737282558938,37.07990404615325,35.013161454527605,40.61561041985867,40.71725093575786,36.91284573993732,39.1762554356131,43.130374675469575,42.882779485030625,41.75978854611928,45.66229534871172,47.74269457236596,46.247304901437765,47.21195539104394,49.74667873858345,47.4250773089549,46.90981697301429,43.10179291217553,44.82236474147499,47.25910409317001,42.4661604095684,41.273808731697024,44.38419818279135,43.588051872631134,38.799356162506854,42.28498439120101,44.48439912515618,40.25841161962826,37.62091532929134,42.182234733960414,43.60858538683162,40.84131725294678,39.45764978451216,42.88146555166306,42.11705188624601,45.021632409738984,41.69244488324429,39.85188399697083,39.161238347108906,39.285886900691786,36.66561930585035,36.67637728009976,33.399232999469966,33.78581212212304,30.315047010253238,27.81936872801808,25.874115787678253,32.354221604844135,31.697049108983236,35.225952815868006,34.091543344723455,32.79351855149399,37.80197601397397,38.696063542219605,33.724788090673876,38.0297653082256,39.85160080849794,41.627708657856914,41.99160632622219,43.1046630912972,43.930517268923325]],"stdvs":[[2.0672734821623413,2.0347148851823014,2.0102982238656772,2.0354998769841117,2.1444538219517333,2.4628183660431855,2.5549491768913266,2.704828821496006,2.7481412220216295,2.685807889872888,2.7441025904550025,2.823266343170162,2.7099080215399574,2.6964049464117448,2.783866759047267,2.7759083030555334,2.661746702898484,2.697681753307719,2.6530567422279177,2.658073760000943,2.642415302669807,2.7162699031602653,2.5984182577035217,2.6780444435461224,2.5498425316921445,2.5644859694729027,2.583554658468387,2.579415764762541,2.6689636972009527,2.7298774883912467,2.8001102229067745,2.7976505799142624,2.887955522065909,2.8678342634784078,2.7826847748954973,2.7446213171499156,2.7069772482750127,2.6669521668664387,2.6082509683602635,2.5832543292837777,2.722971488629929,2.604297154732821,2.580748035170529,2.7584975510666867,2.904987961015783,2.8262448599617795,3.171712989257394,2.593962907017752,2.8694916916440283,2.9227848215551524,2.444253935930726,2.587374318102312,3.0914418984387746,2.901227628859346,2.996255583159525,2.697418931952397,2.6967202886738537,2.606905162484189,3.23347915950187,2.805475050165006,2.5150363115786325,2.641192967398212,2.7250698137333895,2.79489527452989,2.675549300893884,2.671637739980488,2.611035302097549,2.7117806944709875,2.7034944514021424,2.7741479987491586,2.6412798518600744,2.726707010469189,2.698989664471969,2.7038566493243295,2.7553465679191675,2.923240096745801,2.742036095080933,2.8551207876611797,2.7741508142535163,2.729453170179964,2.722422620864099,2.6767389750506685,3.194774249458618,2.587129609545491,2.5800467786791508,2.637988253453527,2.664975914391048,2.7062541991100186,2.7462858216672497,2.811223237118543,2.7896587184143935,2.891743132864099,2.8343254791516466,2.8676288115910835,2.8582088801619743,2.899795011748486,2.8855367176739346,2.9013082177154503,2.873301618245735,2.856688671720963,2.798514067341662,2.7182719311550914,2.7092630138939833,2.6191744007067235,2.546300275043151,2.4053805819624055,2.379677923868391,2.2087183810680058,2.1781339347130584,2.377717743856113,2.3054633703926326,2.4504035578312897,2.5698645447199286,2.514262034118344,2.5773448836355186,2.5014616748417446,2.571760803055718,2.3880668387129353,2.4761434272123,2.5868614796314664,2.556011845075783,2.565244185195964,2.420340208016523,2.4739027475266675,2.5180996785235084,2.480311725388967,2.6208060896357006,2.3266751123528957,2.23704224941611,2.310309116052593,2.075428093224185,2.1515242503863528,2.071512482152846,2.302285027625377,2.120230117808842,2.129853008589168,2.047188825193754,2.09426550210562,2.122908047249306,2.2352792682782385,2.2315635192060936,2.2813228249067268,2.448561932159865,2.40174493907767,2.4675997156453713,2.5543151343135104,2.5179395071538,2.601736198399781,2.620106842706422,2.6761874601588693,2.6219259209696157,2.7601130626879202,2.9296547678867175,2.9783909759068057,2.8955643141897953,2.7954242472684045,2.773821335803184,2.683287160025838,2.703829322854573,2.6517667850408304,2.4909926204628796,2.5730588919022472,2.3502524800003464,2.4140566458868227,2.21146999374995,2.232669887473974,1.9949827272190432,1.8883018599486672,1.8952294466068955,1.9132371180621177,1.9779435302206718,2.120606441099835,2.252196083906302,2.377054367813318,2.521489268359741,2.6499959727890614,2.6766930413161316,2.838363861805144,2.603495448752229,2.537477824385608,2.4374933018792206,2.4641870231053695,2.3122072527927457,2.225776370082163,2.237358237949357,2.374799929246711,2.56872810550669,2.5998892825791344,2.9668635740993228,2.6486612474214155,2.129764882100787,2.174503846945354,2.0411197867013073,1.9872064945788623,1.980518724173047,1.9488178854749731,1.9256157652679071,1.9348071745158104,1.9050132247659024,2.0629585686103513,1.9331203162997062,2.093716070195516,2.086774291595037,1.8878477158618554,1.9174371504761514,2.0416898131767938,1.8651344913026664,1.78502692394764,1.9361967472542538,1.9528194884780365,1.7698755547290927,1.7419120906793615,1.9355946985208767,1.7691641335399324,1.683079807189889,1.6903025163786343,1.748713174696981,1.769783750673152,1.6731865895800389,1.6433895888978767,1.6514785390508764,2.312707932378689,2.0195646491783914,2.207330223959488,1.7310803363276355,1.7985939887445679,1.987442764112991,1.8684246290759952,1.7643427771632736,1.7981990838787618,1.9904497416487597,1.7806217218876672,1.8523637265040886,1.8642030250488781,1.908913455989576,1.7956618515143956,1.7235124571317568,1.8678598632561296,1.8036449402068562,2.0040606164321146,1.9887416267903255,2.0262098257993877,2.171326254860806,2.210465781124821,2.2914335651922797,2.209430653836541,2.1150181708598996,2.3503925354169706,2.3063850803726273,2.1249151369902908,2.2418437274916823,2.3591209832308113,2.1892959054540824,2.0389399153568584,2.176137027042826,2.2977322561006743,1.91551042324105,1.8719577654441686,1.801898920923048,1.8319712857192705,1.9168127654095701,1.8178827038450582,1.7375491026691183,1.7569701775498134,1.7703555096757961,1.681774047388162,1.681775405222943,1.7133200729628888,1.6860107723714086,1.6974861737919773,1.6718909281942356,1.6616431526130742,1.6414793157135663,1.7850457300908034,1.7382088027706306,1.746613996669091,1.832672925884725,1.8878241995287899,2.1714657676640634,1.7547693664806299,1.6892192091442628,1.7292236858726902,1.728583335428664,1.7029276314646387,1.6966607889775176,1.7064062323814817,1.770589941388023,1.9127429125550357,1.9976104736410711,2.1482214896799348,2.1256198453748016,2.219424211572326,2.2877531419048243,2.569869405059522,2.3167074854538665,2.231489121371048,2.563322299019503,2.6336446142136607,2.3746494914258003,2.7446877269981758,2.9849694088010734,2.979736402557143,2.9666245538010525,3.5196071370467905,4.578369543934706,3.6569701403084798,2.313052592666747,2.0669917983416233,1.9424596559373832,2.3195110832174803,2.4200809450879066,2.2767565894183432,2.5083995389439946,2.6415400793250767,2.6817616100015313,2.550730180989017,2.6128653343089585,2.7637089705739046,2.7400819365896916,2.6775756155790633,2.766763044320081,2.8190960867221433,2.90834016467966,2.7901311950543626,2.760787728490168,2.3343135312572487,3.0281751793599017,3.0510414354800326,2.9290569331704073,2.7909945160852803,2.9605298064706402,2.8630628832664864,2.735637878103909,2.55559443883282,2.670292761655304,2.461918644719741,2.4392691030318776,2.419057963867885,2.405354042093718,2.5526164489982732,2.3152252527128727,2.4972162705034826,2.4754670188161323,1.778766223861837,2.465882555733476,2.489237238502001,2.193340615213322,2.062951973074238,1.7057529939824567,1.4239477007833035,1.0910827932207763,1.2328836500367162,1.5055817120063255,0.8759650342498502,0.8930874911793699,0.9373948414174705,1.2351039440935634,1.9777859420871908,1.7647338776376384,1.4968207325820222,1.5904152974786416,2.0579697767174436,1.7518515210415053,1.6445579087312416,1.9879877411783744,2.0725805119347958,2.252485147495554,2.3338874138762855,2.2558224562477833,2.4225125540484584,2.691003249688028,2.748949516248404,2.9218096248226866,2.816049444802812,2.9408947503172165,3.0392086959105553,2.8785469377776343,2.9017096096644734,2.7247024285688384,2.695056354662325,2.5129297689231245,2.347170460350914,2.23477790320205,2.060463871616999,2.124183043660918,1.8090093264856812,1.7588065329292744,1.5285254645326753,1.5887761310720048,2.0232039716679684,2.1980576779947394,2.184363446542321,2.417928243037433,2.3447398547849074,2.59005298414106,2.6528615365299935,2.705104492172315,2.6077269554645435,2.6630197431954583,2.7268251437114146,2.81538410437147,2.5314342052009597,2.4781653075585335,2.249076523886275,2.2240409364520626,1.9667986476038717,1.935976991921595,1.6702321930033057,1.3170826663008606,1.5087301511789484,1.4047860375910235,1.2953294665213126,1.424630704633415,1.4993256828750936,1.7857794479386044,2.0045055234850873,2.257304463790432,2.3893248666256977,2.6547683462486464,2.6946753007022393,2.8408096053090532,2.7895032574192427,2.9095481626299153,2.9493299005123617,2.8636310308111366,2.850856138795442,2.803445999571082,2.689438399663078,2.5761019000570333,2.477102781700473,2.287857792096066,2.0016166918932554,1.6800747992089853,1.4864875883650739,1.4029337727496265,1.2792445581239957,1.3317185554890394,1.234099375727466,1.3990229687067912,1.7580729296958093,1.6638965174736995,2.0529088029374196,2.2839680764555865,2.466288892862409,2.7621367601899403,3.443826860672737,3.103772529148906,2.7978671846726155,2.89288465026593,2.674063996486772,2.625205713255285,2.475103592644188,2.2426758327136715,2.3462846357377907,2.05277951013496,2.2340175690311974,2.1340637576447667,2.2617893349751554,2.375207829702145,2.1386510142595556,2.3152106471213165,2.0605717790833102,2.224050361995643,1.9240527112922032,2.027685264499756,2.284713870485901,2.4671308182338763,2.030083417774919,2.0899709868337575,1.8813408077953373,1.5047363689098174,1.7386201888481074,1.6280794432001322,1.7029148661014704,1.560210798866005,1.956671161470667,1.7229932395368692,1.6708313849526353,1.72294208223238,1.598770534168151,1.9939469682997815,1.597299497493119,1.5574864971962135,1.2873119422002988,1.2672624817921283,1.3510270122337582,1.0783670805755252,1.1880705579546047,1.1888800505877903,0.9895303645277118,1.4422493314700198,0.8479084587379121,1.087777866666832,1.6725030929656406,2.2819872382026123,1.3310509754018698,1.7349360575564343,1.6147743407301896,1.5642079637304596,1.5916962837812914,1.531655963979897,1.4084597220107848,1.3885396234020335,1.3570177759877862,1.3004721137011939,1.3807439447663383,1.4297324941822198,1.375370865688761,1.3479129754738584,1.4633846320272157,1.4843931320633512,1.410257740448193,1.4218997656483678,1.5450685818784295,1.5095758878110472,1.4669862348619294,1.5963626288331147,1.648582608714648,1.5589517683764607,1.5376669624338284,1.460297070464031,1.4993337632732076,1.4182528648397608,1.404397580766834,1.3692377666346445,1.7043472790623206,1.5559342113838184,1.5259895553724614,1.4224694767639219,1.3734755835689163,1.3688317996572028,1.5725983245907351,1.4900587942381178,1.4328966916335184,1.4237336723207572,1.6944835762375203,1.5265482029611017,1.4769250175642683,1.741490685272371,1.809996390472398,1.5983190384704087,1.5835550079735998,1.4014356967872406,1.351225320944047,1.3854063041002826,1.4015108479944158,1.500048378756298,1.6160559315320568,1.6815939207728523,1.4946925889732636,1.4957158145630893,1.6283607595880163,1.6519113785714683,1.4779679498113651,1.5433325620717473,1.6091221344715603,1.5296524939649836,1.4845323787267672,1.5193061120299072,1.6337541862356955,1.4970701756043956,1.4242568610944224,1.3771116007874582,1.3738704903562173,1.3906667486187307,1.3783564280528755,1.3474305368549442,1.3370462561831578,1.3527663353899495,1.372346180398867,1.3710983679933089,1.3722395080680652,1.455096341267705,1.4438274889230462,1.446139584546482,1.47535866196423,1.6819149575828722,1.7106682449481814,1.6351143963636778,1.6591528660861246,2.093305086763693,2.093852085747012,1.643096705776779,1.5487116880371876,1.5207486371904326,1.6080754585768644,1.6883595284914312,1.5987959902745028,1.5547262929717607,1.4898213961890237,1.4677172721772347,1.51098630252205,1.4527935817584818,1.721668455815526,1.5245940114892338,1.6137972227872581,1.5951827099305442,2.037042088428673,1.8025160994013643,1.5889455700672632,1.9741824291591124,2.5630509723543247,1.8657121155797534,2.89341071201866,2.749984376718682,2.3237630523618145,2.5798899397093145,3.8715687686436726]]}]}