{"data":[{"name":"Protein-protein interaction","means":[[33.05632026810182,29.734456000974085,26.175483305598835,22.661564067796384,18.56666970835284,23.0177972968663,20.653070508773865,23.488309838424268,24.480974751255804,21.89582263115674,25.063885995095717,27.53352526342531,22.43794444441286,22.546380065705257,25.884300094680647,24.92850430605685,20.557343844293964,22.724449815249887,22.058728188891884,22.232058407564104,24.148423906536458,25.819355835901497,25.84307552828316,23.739777276955742,20.575600220179314,19.369481637106485,17.19354125127526,16.689742375567384,20.30354084335064,22.579549905939686,28.171352062276334,27.917766878647956,32.449928102141385,33.620017017377656,29.59924409774998,26.113761459511295,24.89952028778538,21.078379493663164,18.305570234818227,21.1144660506023,17.774923299202918,21.18088467398177,24.32892640474976,22.006827297776038,23.018269238433152,20.149693570042007,23.119658336378613,23.628119417009962,18.59795539035296,20.422595182062615,24.66138312690196,25.426469487501247,27.961248596420468,23.728898234342356,29.624128693230375,31.39401441002267,28.018729678603716,29.721157090791543,34.04071564050368,32.69708692865469,30.735615315287305,34.042804998512565,34.11119080115888,35.00356494313449,31.182078533436822,28.719218552747826,28.040416130723845,27.20943687926499,26.11566729730315,27.17202061301332,26.641955784182823,30.171511346523253,31.00591918855529,31.175325072411074,30.920424606066298,35.85103909353439,32.28305642137648,36.05949358386188,33.17545738499007,31.85211601344754,30.141643062058478,27.028730642227355,27.113052123124582,24.89170773806997,21.015941778902288,22.602389414194466,24.58477522490946,28.098371239891538,27.95659990626251,33.568641672944004,32.38945180151921,36.52315971980465,34.98188193064779,34.5422614467631,30.961508903264235,33.677942278545245,30.567157971165756,31.287424346055957,29.962699109541425,33.23224555073218,29.851043131841767,29.25611804296484,26.793087749746157,25.381432027723253,23.947502402617832,21.27612633164638,23.983104462398266,21.798917174201485,21.259004604734727,22.57727417859388,20.466377495051773,17.209979261018848,18.120708014852152,14.08085381951416,16.049093104540248,12.95085343077567,14.72011502925478,12.4103824522003,17.86013683797605,19.387522928942815,18.58742175071941,18.258569295904227,14.701882280671754,14.576632626462322,16.34800877732669,12.438844888665715,17.281067083873218,14.499027733467742,16.125866025275126,17.091624886026334,16.09799329839344,19.402520863984723,16.3031127683565,18.47490102069055,12.866573227193296,11.044547977523049,10.531657213198184,7.030833397232752,6.156348466427807,6.401894311128499,6.58206057296905,9.02126770772393,11.527575149545205,10.14844886784652,12.559797538603018,15.489135471567158,13.540043992163623,16.76933092580466,17.798898992477376,20.341285366709354,23.145305860055004,26.74624354503634,30.536670916313973,34.3653256247776,33.225906370133806,30.498253973123486,26.72978754272994,25.375135168282426,23.327816119823428,20.48232823026272,15.087794833183327,16.8167604666104,10.962815269497657,14.641924888616836,11.195871101546372,6.096881548699695,9.1908129504879,9.141483095488265,8.755679270476824,5.070002906074883,7.552945702489564,6.983179091596983,11.600172545995921,15.12940085848478,18.24469910120786,21.763097650528625,22.461539285216542,26.476360157268733,22.716246229302577,23.466718243436766,18.481781662540065,18.58579124218487,19.344034992849764,19.52921067786979,16.071828243659617,17.819801909487214,16.799672010309784,19.460553818454617,13.796179266463337,17.016932548648008,17.48044859628812,15.420418050167143,15.4042706548926,14.949020253779475,17.194668134270064,19.47736095042343,17.276804416770595,21.109374224102222,22.129637678659645,22.42426380069737,27.092181066517675,27.495510093991026,24.064274659335442,25.97197275579116,30.060296973822723,28.367534448559173,25.85802390949048,30.294829481304497,33.509428311582035,30.30873447710228,31.674919186813497,35.37195024870612,34.505660112821346,32.79480992879432,36.118152227723385,33.63628824443913,38.80693604504088,35.49444678004233,34.66523179109855,38.440051555270585,40.448464762011255,45.378757178341345,44.400952709223226,43.550110060355244,40.6175051408845,41.05327503862339,37.32749290718239,39.45159192699932,39.66170993312004,33.63654834298601,34.16518067162125,36.54555055372001,33.43189574450187,30.051159405833857,30.752164445007406,31.848662492951085,29.238065411505602,24.52306332229867,25.776833195366027,26.00879525293002,29.79466027195459,32.22223056112268,33.672509161165564,38.072986103637085,34.61371382653836,31.336885307791682,36.311634088070086,36.87295477175078,32.15956705076357,33.09763765100176,37.12066344245702,36.487857148618275,34.26453884008066,38.49880077565606,40.578577129722404,38.43274401007526,38.828632334207114,41.94168857577364,39.54530645923705,40.0655597649304,36.8892964263008,39.35572299972918,40.37043651919682,34.85814871349122,35.05061424995655,37.57457254196187,35.865915285357765,31.522029489708785,35.91985132087429,37.06706457471965,31.94235614387252,30.40740123186099,35.424027835499466,34.311750828001195,30.310034446208192,28.956036630272763,32.5423939786509,32.45965366457129,34.568977169452204,30.01863012152853,29.012838523711242,27.541513889201077,26.662809375304484,24.79062427075592,25.24071922431125,22.747986581501852,24.363574564500652,20.335200973367613,19.98542664902775,17.526150302318996,22.41370005350239,24.794304428906447,28.6081544826014,27.87809934471545,24.470800613592306,28.546968194684524,31.094607027501162,26.739455535459115,27.88230436394038,32.224213053756515,35.63971277208559,37.673856185911085,38.04012162564815,38.77014986874561],[29.749286105999794,26.407931485845076,22.94818687503157,19.32983138506625,15.496411033458795,20.305793328647926,18.384292837006562,21.66643377406764,22.731983900492263,20.662231448469832,24.09239227929032,26.631992846875807,21.996517892507065,21.947077836013,25.811269942829266,25.125937366429348,20.982951559450676,23.764227527155576,23.634905082378026,24.173624026663397,26.455714052775914,28.49111219351325,28.584420089412674,26.66984332803911,23.409714770383058,21.73758249322409,19.435338182025518,18.198749596097667,21.494398115514038,23.32840359667449,28.952978382061485,28.462710869982935,33.030481118412965,34.68204799662746,30.76232737287023,27.506247906181443,26.089032936481253,22.97509781693794,20.482169766394126,23.73356895590735,20.7288950902456,23.797746878435824,27.181645519573,25.14330522870009,26.32966837632486,23.56634790914121,26.630893421666332,27.032001597278644,21.960400547300143,23.853815790443328,27.97475652289894,28.582728722756638,31.02705722909384,26.678656461221884,32.36210352138179,34.448606055403346,31.09279350328877,32.430574751102654,36.89192832176004,35.81140113828502,33.600892894600165,36.639977027664735,36.39774885378241,37.49463025338018,33.82178260356717,31.09756616725935,30.077479814933394,28.83769465849294,27.480908799788768,28.024115527821618,27.44463616939185,30.967923852113017,31.97163147110025,32.65523335632547,32.28543624135715,37.54407525980708,34.20479048672629,37.859270656487176,35.13774170127266,34.10951946003395,32.175157320944216,29.30921905948825,28.85298741283582,26.9011643299038,23.181143754638793,24.449244333911043,26.70824704722986,29.763497129795734,29.789109239948566,35.10648393713048,33.797026869995776,37.88688953334866,35.99675845493089,35.24855280983761,31.35610897654825,33.836150711361974,30.41087907059661,31.30072631216426,29.636133313268054,32.62163456481342,29.88186503059547,28.896537254829575,27.103396814186123,25.19020949142038,24.246425277460148,20.89496332289062,23.535817742015425,21.12089766213422,19.866879288035275,21.436538134974775,18.757416144802384,16.09664880420493,16.6498061429301,13.001064693829685,15.466915379529485,12.624120175887047,15.29380763598453,13.362061069625117,19.297730693529445,20.288782388290898,18.982919837935757,18.051359509338738,14.068322444624949,13.348249794325767,14.52826094675529,10.504926719173792,14.937800070160616,12.704982819230056,14.50415072709768,16.484093316067355,14.92622546317883,18.810040119614108,16.392142758227536,18.78101930733273,12.950114518483673,10.579177641402241,8.632133602935244,5.400596384861529,4.607133749197898,7.0321181022145876,8.236797191234182,11.881224390427558,13.810774976044764,11.923283293748831,14.723863416815984,16.828956061468766,14.333217403688376,16.92155093079326,17.490422765335012,19.368471687506474,21.94733167706253,25.38253470521101,29.29484811174542,32.806407344379735,32.084317859745575,29.672602719127433,26.077230525769256,24.72389123023583,23.22502923373488,20.248977741038694,15.460725800156107,17.989061389686462,12.608243939345709,16.740990480092922,13.608331369784633,9.04309977739219,11.260797893737864,11.355992136210858,9.586342676827844,5.868524290163511,8.148988422015176,7.887833512147466,13.04201800130349,16.490085284949988,19.533552987933753,22.639090741161493,23.272215064846726,27.514708629677735,24.23411623471888,24.773213720264316,20.175710113581456,19.24759052802248,20.520156483312366,21.071821470757676,17.805551958068996,20.3351238568817,19.56128990017369,22.55478404400978,17.013016885340427,20.095819248402233,20.206032698658326,17.884855604568152,17.141924932474403,15.96022268625112,17.670049065826237,19.33821255676305,16.35591848128512,19.942347135445555,20.290849427965092,20.65420106480371,25.11476022219275,25.513969717508058,21.86091946785695,23.445276017715436,27.618343364071222,25.754006050221744,22.835157298563498,27.39869954153267,30.77211341331837,27.251826709827395,28.48111287138937,32.25654348928539,31.406183357971134,29.47170733047803,32.766356949114424,30.28666092956079,35.59040825073117,32.28607271491508,31.623958952503777,35.46149143444906,37.709865017632254,42.58501802770487,41.856637096555275,41.206998337076826,38.46368866773083,39.184216823337685,35.61137734722057,37.96897943444874,37.87107027155331,31.74221124875614,32.71052534978256,35.10359986121013,31.68225194041229,28.47650405709598,29.61067634066227,30.32861958885892,27.3517353573964,23.213437284145197,23.891080060991396,24.74136556348952,28.52416140826233,30.582972189468116,32.320326008343024,36.59868067970965,33.31062679233308,29.74022826589904,34.42304830701069,35.15689216540024,30.34062722121019,30.890812179508476,34.89080070599258,34.19354655411273,31.705025986330988,35.976588943663195,38.02440637797705,35.690048347210436,35.97932947567843,39.180805075482134,36.78846509518395,37.56198921619949,34.59222370415796,37.151001281640255,37.82648126121196,32.209652275880465,32.75526800829549,35.10339477858206,33.17149195258109,29.021101109814207,33.64483340073764,34.45775221257518,29.171608973672562,28.01319182903391,33.070198665063266,31.59444994618125,27.61756565256494,25.95096713209839,29.619164347149706,29.288671887548645,31.288989960162166,26.62403083635681,25.729857328311095,24.156709970393727,23.15208170950936,21.402789548989873,22.015802938670372,19.703635224425533,21.517768093078743,17.44131965450398,17.669582863060477,15.0061928198574,19.67306075134628,22.62617395103032,26.362212291035195,25.878401262304397,22.06143984475714,25.845207252911358,28.612640502542412,24.342069404448363,24.972077779150943,29.333850334486566,32.80250671212337,34.895308447395024,35.29859404229252,36.09261439063826],[26.847627315858215,23.578242005473992,20.601068669391896,16.45116317494913,13.733600159720822,18.71790295210157,17.488908498400242,21.408079920677217,22.15103471937926,20.600465416793256,24.16334356027524,26.981566690158637,22.961607034857035,22.325360416819567,26.763180490281496,26.57570171535705,22.61396475572198,25.79623623074699,25.861763117419656,27.005424846055735,29.397753841396923,31.850392323384256,31.76321027248671,29.952180807189315,26.791753713721516,24.65377582608266,22.597573670574217,20.83617715994398,23.95518494547548,25.56781519631461,30.83923628182702,30.470944535683817,34.957337127756674,36.99583539468325,33.30456232607701,30.173888024613802,28.87065042750823,26.231675245270175,24.055711676047373,27.77349388438294,24.744673128148687,27.34540299822375,30.97843130604894,29.064894377268992,30.142490177367126,27.369308958128272,30.529863904797356,31.112042625311528,26.075829683076712,28.153131043669653,32.28593129733112,32.927944594300754,35.317151294643296,30.87186957395941,36.45418173889097,38.607606084412126,35.12947951011834,36.273988531330524,40.831658285336864,39.773126458551786,37.28554852325592,40.07030619474296,39.57950253292789,40.61341803741938,37.11616238238116,34.324488031406666,32.72174049599385,31.251216064133303,29.364058070572014,29.494788699796608,28.65350126154159,31.981525782444187,33.39994567152564,34.569941108374024,34.38791137065745,39.961942289473185,37.03097591088133,40.6761472728124,38.24067884813695,37.546796842336825,35.64974398036166,33.09053298906457,32.365422077139,30.73259750502883,27.09576504671138,27.982223783952076,30.197894527650845,32.94944930306532,32.82132436969475,37.872408060114154,36.248066281239005,40.13052924261141,37.93348524053444,37.00592760922709,32.83083568673176,34.92427563067473,31.186471619198613,32.585407862915645,30.704391673593523,33.5347002068884,31.58758701871655,30.470705744692772,29.389501744575647,27.22025619467015,26.93673829995124,23.03278393155545,25.62397249525811,23.071724051827772,21.011385861249643,22.763561313776258,19.363504453011654,17.462659061547903,17.2043817223162,14.151971606871324,16.499415874370985,13.853945844091317,17.072575638908337,15.202521404010671,21.217287605848764,21.987578339293066,20.028993920436736,18.685806248042432,14.241269165628086,13.291785784728855,14.007169713508668,10.753412302610789,14.570720899306693,13.55348176693175,15.610006645819732,18.676589893865376,16.5978005976603,20.906605687716034,19.213332548174872,21.753450601457445,15.990767991195597,13.29302037998167,10.07404440649388,7.788806957105822,6.535986387831388,10.128216970519189,10.85046355177432,15.187610601228902,16.913521963455544,15.067729568827213,18.245996333467524,19.748585461783996,16.925736867914374,18.99660934092902,19.34686742976581,20.28675949508971,22.75025689410608,25.666403116262337,29.81539648844511,32.70027626999784,32.410449776443045,30.532438965390252,27.13135358036045,26.05003929127908,25.021293508371166,22.302813819901992,18.253715959099335,21.109211221019525,16.204890664208836,20.62171358488265,17.868872246934504,13.457354794431714,15.411122745095497,15.189678821837393,12.834147701903188,9.713670619435542,11.835085775343705,11.75605471501497,16.9030224108786,20.150099840086103,22.974174206438857,25.71728042276293,26.059445106180664,30.584709600391555,27.747057596672654,28.237650718748274,24.019801208262017,22.409116224468107,24.104298922455282,24.871112256625217,21.769785628590398,24.604217132145326,23.824644974033856,26.95023675709705,21.373939527109663,24.422305310764152,24.345279644866395,22.08768721036291,20.916473680317875,19.346658979637887,20.615031583466116,21.630370341799836,18.04403440544767,21.23067727078469,20.695137339359984,21.25582330323976,25.2479683171419,25.664560975328623,21.773722036548957,22.740289207091145,26.97659916711035,24.83900571624292,21.165454731035375,25.89908873089364,29.532416340903712,25.375284047899004,26.292657186067537,30.205118168350282,29.328559510881327,26.86472737080495,30.09699144273547,27.647406319482798,33.26311856399193,29.873403660900873,29.684970523341157,33.63654098783019,36.27716047877364,40.99713321935671,40.72478337149001,40.48560806361454,38.05140649521918,39.20488096869122,35.92332603194861,38.515580105373125,37.9413812602859,31.777355700576017,33.344495186567535,35.60551289532647,31.787490306882574,28.931912098987567,30.538456057948032,30.59942405784427,27.216606846269237,24.033426485346432,24.050267567113696,25.83372553550638,29.519591378748338,31.092081663871625,33.20542930670817,37.26076695753503,34.23745502280279,30.348134882855316,34.5433473078348,35.48331487336792,30.58008884107996,30.564716686664507,34.43597639445609,33.593141687175624,30.725605188884458,35.043338383904384,36.970431835462136,34.26321963875949,34.429610962810536,37.78941648903251,35.44139510801084,36.665561646842185,34.078252562670535,36.736300284210685,36.8355569376708,31.109524882466893,32.22549520750679,34.197063612239106,31.899331358370556,28.13971138749818,32.979528225658086,33.15567456063709,27.66962176942032,27.141863523034267,32.06809982939829,29.930467241573773,26.01147526871416,23.89053416858969,27.390442313526705,26.561270445995593,28.53192387768588,23.679275464868248,23.279528800974532,21.495227420763364,19.958947725354157,18.624234919204643,19.43624474268379,17.72568700134588,20.118306574059794,16.235687803897083,17.56471463156265,14.684440607857642,18.642906608374723,22.485275739688472,26.001745647702922,25.743423338527794,21.39871172433201,24.61407100913063,27.60659337621737,23.38212247355664,23.11862537961653,27.55035336556346,30.977360405151536,33.17521783618976,33.67137362922878,34.49392182415163],[22.56490012796906,19.22627335937501,15.686525598315308,12.280667620608066,8.070683637216131,12.971774563375169,11.656423442024671,15.372120919066216,16.911930241328385,16.14575393819746,19.914712207019242,22.081798002870748,18.62675594332826,18.898986243919477,23.29668175845819,22.886994333811124,19.747816061648983,23.656412515281936,25.07524740988881,25.839148011673387,29.032004025987675,31.584101831839984,32.22396796901266,30.948046865470758,27.325025843124298,24.934206888870385,22.053257470742818,19.45370866712159,21.532083922340625,22.06293986689997,27.730748577094992,26.39816112623145,30.8844071345272,33.51394938488477,29.867979395629646,27.375709157152915,25.374560272273108,24.103687598269907,22.356379060585077,26.37534223969278,24.457952861493208,26.717433474414186,30.42422782259971,29.294928902948065,31.234856541217294,29.044660814052612,32.38447625916771,32.00743583781848,26.881238990845212,29.10935706542771,32.55607501073892,32.76446663899061,34.736305157279496,30.09578649096353,34.997654766471804,37.94487613575509,34.75393992586663,34.99766742281798,39.730283973373886,39.550517178165656,36.770851670941894,39.07745961351117,38.08543963676205,39.9338914893336,36.67548967008968,33.24188760388328,31.942169665195006,29.714320216118598,28.41789708677452,27.768282131396894,27.538684370974103,31.139247979569255,31.921648019288533,33.60186185312009,32.51352380376808,38.18853754857341,35.20321536820427,38.32542706769376,35.915676465490506,35.53328601589472,33.01314576890814,30.83397397204781,29.141575613518626,28.007373316833075,24.80956208716167,25.1994418972166,28.03969616571671,29.858106706550707,30.47960434522568,34.91351140220719,33.598923911417714,37.634177660461965,35.07484005942994,33.58107099126215,29.25075429347691,31.330645511674277,27.502111313661118,28.215072412469148,25.848471846872577,28.026691541517494,26.549372730899705,24.772672872490933,24.38599112257057,21.657393892665308,22.02997503849871,17.612415653363996,20.322582576961757,18.139003522809748,15.483696353608355,16.840306812334358,13.022952631298585,11.548542830348504,11.246846452671349,9.137943797748571,12.714876714774709,11.47752682970912,15.457722161010974,15.302990157885654,21.394038900677508,20.716158208873303,19.002532987807765,16.74538014076641,13.152812845554214,10.64874526754345,9.666385576536374,5.524127038747888,8.080410100701092,7.435266866972723,9.962633606833297,13.821579735220434,12.586257699575018,17.195208518593223,16.52848951757423,18.0923885766748,13.031027088440833,9.413207347981537,6.796328398123303,5.203025713370218,5.947456480049082,9.387637213054537,13.01236486652697,17.272565355861758,17.497439223051067,14.590304529620719,17.334633816223324,17.458898624763286,14.298250634016464,14.968536575181725,14.348748033768848,14.735374046871078,16.609189276922205,19.653678918233066,23.589580540406445,26.582452738297672,26.57856095021028,24.70326875968128,21.614796423542245,20.24668401301289,19.956625959270475,16.959406372459362,14.073999675194973,17.86988063682448,14.367751152225244,18.750130733130767,16.99308380898093,14.303078618817747,15.629238934515195,17.09116445530853,14.180894747231994,10.92656475970118,11.176003702414297,10.28632601595935,14.66529763929746,17.193929916287793,19.554562745680258,21.499425937316985,21.84271312480076,26.34123094380602,24.337738708299177,24.53971293886471,21.30298522577025,18.361100522318335,21.152649638563208,22.78094982406182,19.991412801095233,23.471746370774873,22.947172838997666,26.922370921131023,22.17941861929577,25.248435314360314,25.216031159873843,22.054211179021486,20.798823726744835,18.576123530438906,19.222614469244654,20.01522198560327,15.725779245929738,18.169015157367955,17.186341843555358,16.555099000447875,20.716834773936334,20.29614720407023,16.29076549319152,18.121787383404815,21.985022189035732,19.32899720526122,16.598405834587005,21.36623046212987,24.230386166600162,20.281449719082506,21.83001936896835,25.52478996142972,24.23709981745825,22.467478287183802,26.12194246443437,24.01814418529919,29.191944324839028,26.979933949884572,26.042979387023244,29.686832421003732,32.57914574110845,37.22505812846545,37.041548619100354,36.25217869880241,33.865570907930966,34.88523813990606,31.344834159841287,34.47665025145039,34.230577035953374,27.921541460497195,29.528819258054845,32.51762296943503,28.855714926528435,25.81381247035639,27.95128044727345,28.657880029926822,25.03059126538752,21.835849456196023,20.788618901078635,21.794411832122744,25.427577356021153,26.387924909136398,28.1217267065663,31.901215628606508,28.6228125126732,24.92375200682858,28.96743630157415,29.53654386868581,24.549376163693246,24.802124240062845,28.472413356118476,27.47418205687767,24.87857042622337,29.394313141215935,31.14602477018294,28.509460970861074,29.082234105686716,32.48024722283826,30.374977681394977,31.51288115115513,28.85191045834033,31.90337487768277,32.197537810722494,26.43639540256107,27.788041609539995,30.24104652132769,28.011609936186993,24.38316619970555,29.703856645096955,30.28104550480331,24.808690336248674,24.550146486492316,29.95167239557464,28.107032424393406,24.458031779983532,21.89644775649903,26.421870947566752,25.583813403700745,26.597760009208038,21.631444908221123,20.108460168867445,17.744551001459104,17.664470730590303,16.350158708250603,18.064917486491687,15.895178679417356,16.973260604072756,11.92253963437154,12.886169810598995,8.90000639277313,12.831128100316395,16.237835222481145,19.787146315783726,19.283451637821834,15.028327752134649,18.614379655734314,21.37795517508843,17.14448877547967,17.476212686523766,21.87597989737317,25.336405071965608,27.47644143385611,27.973001385980172,28.84199022811032],[18.7047020434674,15.592505876207753,13.260851135692807,8.33552946510371,7.4195360431205275,11.50996039429483,11.532202881695913,16.06237897470738,16.626613649055436,16.610978692753235,20.274860205309018,22.895357827278854,20.467716605281502,19.67370808285547,24.666225395832676,25.043265848933412,22.179911575044503,26.31119215929707,27.750114442991464,29.329526970859455,32.480659423050945,35.543354169885774,35.8536636076751,34.68233858749295,31.267324270620303,28.360260855213692,25.969108231857103,22.959078701724287,24.915287803901567,25.36311610266991,30.200138833440015,29.316685311337,33.53029791820586,36.519473430921686,33.297665790272866,30.906510232280716,29.32331971499226,28.40901520793711,27.052338396252264,31.61500117564712,29.417521285616544,31.05442623358722,35.05262401266575,33.99214614335095,35.67578767197839,33.437020694619456,36.92005898432325,36.8693164901538,31.812897623716573,34.36363550917902,37.872166196103294,38.28625605041005,40.16181430939268,35.402656370298544,40.26112388477036,43.13251461033071,39.69433816788025,39.78831333522567,44.60604321752983,44.3283377701262,41.17503659013922,43.15927710170522,41.89344653073266,43.525788693815244,40.51402007986263,37.11016945687205,34.99607799518227,32.60231618991948,30.56079431834628,29.458313632978957,28.826028337072035,32.04119804380319,33.4103141009708,35.663468840543054,34.95665487716368,40.95589972437979,38.59589549250882,41.74429834827559,39.78580174773942,39.84194077616904,37.57405485800865,35.8270992002153,34.06787700612757,33.36747102140888,30.182278093986575,30.081140801515254,32.591539368424336,34.16727910630375,34.35088852753957,38.44117878506888,36.63048586316116,40.264405574475084,37.374169728504036,35.75885491730698,31.16693105463143,32.623982109976836,28.47415420821526,30.058393828272084,27.58504443661937,29.658100675736286,29.30937278271059,27.719664467679756,28.186446205043456,25.550612728638647,26.839646749293145,22.141418698684035,24.80690680613324,22.731668094938993,19.32919385941627,20.609115478623078,16.071342013899052,15.58093921155609,13.829034668815012,12.733498193351888,15.148793346272493,14.117713428210658,18.202280005542598,17.909609145930496,23.728442365646693,22.94295113950047,20.467025724357846,17.9080229543002,14.04623418309382,11.672689805704042,10.229215356913183,8.884170796825424,10.100295213418471,11.777767780892422,14.356169692915913,18.887282545609843,17.38710817356672,22.064623415209258,21.962962604258607,23.581910437025975,18.75033485497035,15.169134990818566,12.0746305674682,10.950276986997261,10.309537279933634,13.997751613837773,16.30204901287935,21.080655017134895,21.290247603235606,18.756341555741823,21.91702194182495,21.635186354117568,18.378317635047654,18.697409910888506,18.189828680840257,17.247860653176865,19.07253152248109,20.911634184857366,25.179601087742547,26.965700119167728,27.478837795498954,26.534258187552087,23.771288345456487,23.09420902414855,23.224408348356626,21.082372899793654,19.064273830438477,22.6039025861542,19.46546175239038,24.066573709793907,22.673013417564434,19.627528377357,21.255879489773513,22.183824687492333,19.169615297177454,16.08767716608626,16.84524073301581,16.046993628374494,20.45109964766052,22.799708502711088,24.823760865363823,26.456679196636752,26.233375475577,31.04066260390993,29.50609663825216,29.842668069231443,26.985939426846734,23.782282502471837,26.89615294258424,28.613780467511912,25.87244511826885,29.264835650796094,28.489664786433167,32.53319504274377,27.61020774407887,30.806417312257974,30.777090948417744,27.800093023045427,26.407878604839322,24.099725388135543,24.54327876839475,24.834276969787343,20.248359195244213,22.189538588189066,20.238611697829754,19.804015371750573,23.09659800213183,22.56142727266277,18.440694759021376,19.360503512246463,23.0270979092836,19.847053806706697,16.14086501645643,21.036460877804025,24.015088913058957,18.93845448810837,20.055197053549534,23.88202866010381,22.30476223576111,19.633382156854346,23.37296311594843,21.526726565302805,27.15819030145817,25.179777649660775,24.987262625090942,28.688920921433454,32.28042058310846,36.579780545491644,37.14591746101022,36.91809168638464,35.06688890465787,36.668372305949774,33.56846988109655,37.01306367019658,36.17506831512849,29.95882519476089,32.317451314819635,35.11880185093834,31.040014353078003,28.534309410352147,31.194774584849597,31.096204982578104,27.05598476849601,25.165161260793308,23.328812331572248,25.39505216200637,28.76595284379033,29.007158395437273,31.102610117095118,34.43102997202094,31.5087632345922,27.58496361839972,30.76630130043707,31.477109976270413,26.50406417751472,25.99298978040138,29.233640584313143,27.91047747018151,24.865358980950486,29.450404929477706,30.839856605087114,27.53426832024875,28.106744552446912,31.778433991421487,29.895865724263142,31.778955699556935,29.791707746187807,33.02065590453436,32.436044722239224,26.622006633556076,28.92038429755745,30.80725632532957,28.04698270737096,25.19778248781795,30.753800909264612,30.38612494844491,24.735922779818218,25.525526507640514,30.606621545740342,27.806825062867308,24.411132438595708,21.106750622915648,25.34302329198853,23.61339535469505,24.343013474157225,19.055656887627002,18.308380250936512,15.24018568505004,14.460856020252024,14.259005614169576,16.589325971143094,15.616978233564302,17.40051454268232,12.900968677354275,15.512674751404592,11.533325944472589,13.465591939507187,17.96285692711194,20.89893449801913,20.529852987213282,15.716089305985168,18.16948976553985,21.000037741176932,16.80774932204562,15.591045342109606,20.144115048514415,23.369347922704577,25.688284206880706,26.39597088748234,27.230798961870374],[22.6977447384348,19.940189901608747,17.726171410262413,12.839807711792371,10.994978050862025,12.759974539061794,10.57207913983396,14.4736769593387,13.942890118563202,12.185696894373185,15.676011745146008,18.850130680852708,15.467401428788847,14.153044184860374,19.06178784858826,19.507137611645824,16.15424705152342,20.0662650470157,21.316363554287047,23.16967342049805,26.279788277433262,29.598809399664454,29.832921831425637,28.905177190899472,25.526152118646962,22.294762561004156,20.110883132480758,16.893233750080185,18.976105990868042,19.90953262924331,24.344778264462366,24.18642459978293,28.371272021863593,30.99498913401065,27.86789328788613,25.166825898541706,24.19587446472249,22.913151689901362,21.861515105110662,27.04181570132358,24.552857520951644,25.41770062390639,29.63466832593545,28.81276478641006,30.496498134971212,28.59230586038681,32.30005733805216,32.11380493960711,27.275460067427794,30.48055211169654,33.620660921328955,34.36794317101764,35.84404731346501,30.896077239393207,35.64461424719391,38.33155687591852,34.59938436115063,34.50050729818965,39.36195926318548,39.00434068244062,35.486048745321284,37.22566143466925,35.868509798390996,37.320729569031236,34.44361595214217,31.08510565998868,28.63107612259615,26.2720969531426,24.063037246772943,23.085109322837745,22.398845834236425,25.69113264484664,27.030683345501235,29.175991326286,28.633934435544347,34.66298655981258,32.46751698141732,35.7827090090206,34.01506270996025,34.25348688599542,32.440018090338626,31.037406566330183,29.738495283266445,29.48224124601925,26.08185781203415,25.402023736059288,27.28730111742709,29.054563607900718,28.595322310342976,32.78329433955827,30.66624566155101,34.17700154975256,31.413574654372457,30.10652964981066,25.604536490085195,27.1822981095322,23.16365443941507,25.145308893574747,23.207959862209457,26.24797085667766,25.19518374619807,24.808595226900604,24.533800737337373,23.135357382283942,24.768041165005776,20.795331023893475,24.372088476067308,23.12272859716966,20.45509452027374,20.68400842371399,16.366288298839653,13.97536957795989,11.423944877497899,8.93382552037163,9.659020044708463,7.999380509181964,11.911301094531,11.740723988467943,17.347673670228072,16.469043212878262,13.957418919229161,11.535193536588276,7.550755822247976,5.410532488029877,5.736426040233489,5.750830569800061,10.471184028457795,11.407562684662347,14.999335546283413,18.52044510024629,18.675713210809057,23.113076231560036,22.236443811076093,22.939732197614195,18.224805097127508,13.937663682552335,13.16134355504376,9.567382740855411,7.121425943142077,9.738477932871163,11.703720794177162,16.392917116648796,15.775032813198948,13.415353440238949,16.745799599718502,16.175747505059647,13.018820426340397,13.84218238020151,14.44821270279474,13.893494802530089,17.124094419595718,18.74706730398992,23.551327760696317,25.577942483725394,24.961564102735984,23.728458827896223,20.32174768603533,20.340995074085328,19.28197395642867,18.271801639357278,15.626987485875242,18.043749439554368,15.070044150316164,19.85077542605495,19.561050490840806,16.90761090859705,19.732863583139604,21.19195610228756,19.227884136142695,15.332686068679351,16.01933799984825,13.789866583517114,17.74566431692346,19.71329503416328,21.223899572340756,23.14928018742516,22.085530292818486,27.367837382609316,25.711040929712674,26.72622344893167,24.036412614477335,21.621192452065355,25.278417279754887,27.148571917222476,24.004519836671815,26.276309747888934,24.643870372976217,29.097698517889114,24.466625527379573,28.227530239578677,28.999008101978017,25.933491242400258,25.679919652468424,24.01144383211334,25.10134616799639,26.34790265864528,22.2562906679908,24.685555114828855,23.64485865558806,22.476259593615236,26.556660445226022,25.418439048087986,21.386851712517018,23.57481171206299,27.01313871183199,23.561266449835717,21.094650854159028,25.934381894846233,28.120400324902175,23.414315261165324,25.189175280160487,28.76850319941043,26.590269810742278,24.55135257341458,28.738071049997224,27.234099109632304,32.53983821086103,31.208688428579137,30.57509804370011,34.07765350004746,37.602732639660516,41.948418907819146,42.30588272026328,41.526287175521475,39.42403328171698,40.5548950697284,36.970051232150816,40.462188279181156,40.27298628583615,33.96100545382804,35.69335624254635,38.925209033363174,35.250409713284526,32.26478315262168,34.54162965091349,35.26817749909786,31.52932391366925,28.517590287789837,27.209861017973537,27.939227306197598,31.503629340665118,32.0402668380904,33.393923136751845,36.78674395250023,33.17326992252536,29.889237369352532,33.54075005426382,33.498504683349935,28.449166291955372,28.95705681290965,31.972193160907903,30.387546304109673,28.078812751717955,32.95493658943813,34.05028395248745,30.811358516684447,32.160990764534226,35.86046599361127,34.26644533128912,35.84707332963749,33.51600021842479,36.987921148484524,36.978427513553385,31.20122975583743,33.206017959138876,35.65204099208646,33.16999501730866,30.04121093386766,35.62866958184571,35.862102931624875,30.296949683024696,30.6276266536096,35.96895981078325,33.64952739884016,30.15144629767118,27.091474370532445,31.49841005327433,29.980908903678575,30.664873399821953,25.400350080566586,24.264438181460903,20.945164459343147,20.77433233387135,20.51109272119525,22.79310457848557,21.362792363170428,22.660072460404244,17.494028809184762,18.875729712532674,14.164033357559665,16.84111468960025,19.89298115709322,23.11835940362911,21.440446888079684,17.468641992046503,21.049941334614978,22.8751028844327,17.710732999336393,18.3252005043655,23.13513442457792,25.949792906347067,28.212766813296685,29.01090016960619,29.58474772732057],[20.335618135412087,18.03583400124488,16.612304424595525,11.61812775098522,11.166079909440423,10.548726742325147,8.424724010031508,12.26502632377751,10.683999231205927,9.48208468668437,12.795319033591332,16.129806253308246,13.863629777207771,11.992510120736549,17.19853507648756,18.210363999178526,15.674356744937995,19.904076672962447,21.848045673354697,24.056995584658118,27.419702995261492,31.076621483636586,31.43547785085746,30.919931495346713,27.576237984566056,23.96580861347497,21.86144724891519,18.105009798868487,19.377147381304717,19.69746778315436,23.377307371099686,23.24895586216818,27.089760247516132,30.153609699515187,27.48172671227629,25.212816849111764,24.38506795086164,24.04846517518748,23.601209703847548,29.189625469546513,27.062975935533665,27.182775583332898,31.52420752744613,31.18972035957624,33.066449893449686,31.5141699682164,35.33487591965759,34.88902080530765,30.221823195113426,33.713940410683946,36.462121625504594,37.18912818005069,38.31944404419804,33.26931784130028,37.54670656698189,40.464041588387595,36.715579156008545,36.04967489252319,40.966145413492754,40.954399147451824,37.03888661857671,38.22961196630584,36.43300088646308,38.0827587174287,35.59179656157998,32.02267538642717,29.148676969310497,26.338708169286328,23.95071806982732,22.218076593196812,21.603763502705526,24.66989573159937,26.02640490567871,28.8181430217718,28.101136699361707,34.29207862711165,32.61344166344894,35.63912069911481,34.29709468101866,35.04604037594402,33.251134414362056,32.45065467977749,30.78669208154823,31.170211676226607,28.042736953040663,26.69558394976027,28.44249329369337,29.55448720904725,29.017515651058442,32.53981029724975,30.186894511947163,33.37240534883224,30.24489546278909,28.635320639550873,23.958187012088413,25.02349744116341,20.794255932406685,23.192648981882318,21.110140468281838,23.98060469509408,23.88417454594589,23.716200113055113,24.229779716577998,23.06345616953939,25.704001244073982,21.681749629596027,25.40453795550102,24.665196699228623,21.62449402627173,21.28097561725338,16.626010129920235,14.691349728245607,10.961516959036029,9.865952752314065,9.527078122070993,9.283087696546279,12.911836862597806,13.716236764925998,18.465605552382335,16.683744011164855,13.91811890207433,10.869379645446545,8.09589950862524,5.535999959808295,4.2801138312006675,7.6303525480631125,10.661261527369325,12.936673023617413,16.657174808201194,20.38786739070958,21.118760009561612,25.47873352939012,25.137489021022187,25.27501912423104,21.165546713656035,16.708743141411354,16.348028080508165,13.222291455876809,11.167484288282367,13.213266108882262,15.27670608423505,19.732270586486386,18.396630821411616,16.053528320466015,19.135738831695097,17.593136393474204,14.557260868021903,14.339086492579145,14.761139530613377,12.92488976510607,16.098994297099956,16.578997286426496,21.61430547747564,22.776844573762617,22.27833010079082,21.730829141134933,18.633373623251437,19.333761737936825,18.66110098748147,18.603459920436215,17.192737925757164,19.428067941777478,17.645553652357677,22.22321255351316,22.76115101245015,20.72379349166102,23.51063186617813,25.297099891813712,23.270033442462292,19.41321887214361,19.749147252281887,17.281097800069272,20.636849514381375,22.02011841787703,22.916582743288476,24.236856210483428,22.59000081914484,28.010513209356134,27.10140833328736,28.204117583905138,26.327595157723955,23.44880814389018,27.75285335478332,30.00487150232367,27.012503709153897,29.213781439630175,27.434235528393764,32.235922212180654,27.996768199179087,31.84038991814797,32.748131734629865,29.479766598064714,29.3246752719859,27.52527536437695,28.398244952345237,29.491318955684584,25.195453799658182,27.161838391677428,25.72076357314454,24.023022828388207,27.777711532214443,26.04825896772855,22.099919656332208,24.463273652937552,27.407269027313276,23.425773846656252,21.408025471418195,26.079830032725283,27.58721368290504,22.5879726920841,24.591824140780126,27.90726702094897,25.145159545967207,23.221901336494746,27.71100012150787,26.73920410916253,31.81389881621929,31.459922453942863,30.785455565605428,34.01409436438032,37.97450194657993,42.017170033537106,42.793611741991704,41.9266513739492,40.11088880461955,41.35675356347291,37.818946835631095,41.69564777997158,41.50741926176127,35.26004966972918,37.21603067266108,40.729573043845775,37.05938970105192,34.20130234295256,36.831945088881334,37.60075649061967,33.68781876216568,31.09644119018974,29.142159522221778,29.74010981497193,33.11089462168128,33.047725606790586,34.1842991773609,37.12590633711194,33.46012974162632,30.415467696749822,33.52805941238428,33.13207537100047,28.148270659111176,28.64858985172945,31.113919756390306,29.163479122240936,27.050274332829122,32.057811768157805,32.68022884771131,29.11522468371259,30.9661845480284,34.79469611045836,33.61136639121791,35.4784401179511,33.462774304395865,37.241253365053296,36.98343739367446,31.303759166410423,33.833282451573744,36.29438957131487,33.6798198719258,31.044482333472217,36.85674893464723,36.91376734069722,31.411205280900504,32.27066573112502,37.607516838666754,35.08341611871526,31.8712257362022,28.407501371267973,33.00728381258337,31.12149000627172,31.202998336269125,25.908240715465677,24.626657769191127,20.70585803412292,21.059008448882338,21.418344239085798,24.242660025518642,23.157028545750848,24.096972116885684,18.842266224925567,20.47279989541556,15.450418530004962,16.92261461730106,19.68253410488985,22.45661138671279,20.26398370267527,16.536956447619957,19.782559247337616,20.97650994486848,15.59416272089673,16.243214409987,21.048116592037672,23.40776941013335,25.682272471627613,26.671461416703117,27.145773019947477],[23.193513405502394,21.32219183984889,20.602069552263874,15.312446865874875,15.673814257555222,14.477933187182241,12.295223086659883,15.481793332226317,12.641383812922538,10.466314621521718,12.810655069694466,16.85026721930523,14.615189699200306,11.282066363662453,16.413168999678255,18.09572923911324,15.348576986051825,19.001540649486948,20.335493898070528,23.322006718348025,26.28906435055938,30.315156007161658,30.23231613019767,29.848346899460466,26.880439581082346,22.922179234161376,21.585146241464095,17.891593049091533,19.338068711092802,20.23413208391388,22.738620677061693,23.74231795060171,27.228985683024252,29.974797084574174,27.702729418315915,25.186207708014624,25.2414735052536,24.509038545898516,24.367486640960102,30.31305636852584,27.691873946898,27.07052729774149,31.5619143346673,31.246563553709258,32.74028588050946,31.294061200899648,35.19928382270756,35.06239171200564,30.69879904746974,34.61080561284149,37.266274722460864,38.37251030101291,39.30603020081402,34.219559159143046,38.49529535656411,41.02769742651998,36.96482557384743,36.325110526980154,41.186463869115855,40.860695239939545,36.634375824119715,37.56327301880016,35.69862124937693,36.84561184697458,34.59694573324108,31.3222019987767,27.66693707365374,25.057470400710226,21.90013167266202,20.181877663719042,19.011107307123744,21.627516092357055,23.614017768831182,26.563331321154113,26.53818000933062,32.80284387926686,31.71607536226137,34.95146432673015,34.041041622817566,35.069297732933556,33.90846482696126,33.459551963686366,32.32154511397256,33.00500672156056,29.727395414359215,28.00598940539904,28.99469184517891,30.310679961710616,28.91955378181073,32.372660519147445,29.46452295321938,32.16775625120057,29.089055176781613,27.848851097962715,23.276421428498004,23.944648962754346,19.785696724310007,23.259560742061492,21.785853009827274,25.329143929571575,25.240056021197795,26.102143475498366,26.33867503951157,26.06160794586733,28.90821197989369,25.320761230325605,29.3011384532558,28.785373724457326,25.979036590783643,25.404255891066114,20.892299528240187,18.488781220737756,14.565094991815084,13.029300894186793,10.98074982055599,10.17900470429387,12.681962287179198,13.007180643748864,16.73059185435102,15.259538029286858,11.95108677861285,9.405640741544786,6.9173245377890025,6.51398559092529,7.524263400886385,11.387290646145388,15.133645040438134,17.126939316541087,20.93778599729932,24.321954391389756,25.2709866232304,29.58072414868339,28.868460007881104,28.922472266970686,24.718590886193805,20.234810457043483,20.175936150703542,16.401755510683596,13.504768979418717,15.001120993230774,15.586976096135265,19.800463254974353,18.303670375867643,16.718751404092146,19.9313263536938,18.450026476274637,15.813728340631206,16.12287776013591,17.414499938230065,15.67334453395408,19.388373039806147,19.207073750193455,24.397051277655436,25.031016718386507,24.020293851288237,23.8037838025322,20.574412777223948,22.028245145160334,20.68885629989091,21.61292033435056,19.923640171189682,21.17066478623561,19.379979169526816,23.909587041176138,24.873282281411747,22.637508646548305,26.058585181396232,27.588890030242347,26.06817602423705,22.03842024590757,22.748473440890983,20.004175802268673,23.29152799586377,24.59924748600065,25.24179857881764,26.762160946556765,24.52064500745866,30.1514712614738,29.17064196947149,30.719415285163883,28.847020901485326,26.603332982898202,30.914613937409626,33.050619301798704,29.85097847582322,31.344321663707255,29.01523838689629,33.77294237111361,29.53055313843912,33.63488596691602,34.917962220844785,31.88803178126644,32.205192760400294,30.76749564254701,31.956948051045963,33.32548089675188,29.215308831747144,31.42567772239579,30.14450410053529,28.529062152797632,32.35234698116962,30.60469962512,26.676595896829248,29.022448501445872,31.95805679662727,27.909244324471764,25.809577187982264,30.47464815228394,31.92089227202208,26.747811240231858,28.657104725962633,31.926276629590575,28.979170684783877,26.860055040598105,31.35112005188846,30.540640643019447,35.69250997367706,35.39371599088313,34.978762289236,38.212546814927215,42.30924751631592,46.259842089445286,47.19607190127891,46.42130781701676,44.6621721215683,45.93680155259009,42.39363869914955,46.266848833695136,46.078030977774446,39.82632249407517,41.759420461535385,45.236195453887504,41.53999069545106,38.67200900421163,41.20331588943493,41.91794751329961,38.02459909525556,35.3493145426703,33.59940592296001,34.18583584588721,37.60280220279405,37.60782418284955,38.65744972352904,41.55866102254014,37.787221068401095,34.88992543761528,37.97214760508334,37.404256954002875,32.463023043308866,33.06675986961369,35.33624409377576,33.23481274226511,31.248801745451864,36.27766655480248,36.67890408639123,32.93918011566655,34.997981041200404,38.87982571823428,37.85057922399047,39.852139997446,37.93909982686467,41.76537895192986,41.41037652459486,35.750476174758184,38.386318389126686,40.779253593270745,38.08999652941621,35.535510103754234,41.33924600164586,41.24247078863986,35.69769304037882,36.62730852728833,41.88797625992157,39.17327910304001,35.927207765089534,32.425040539389656,36.76544169774135,34.670521310454134,34.860394949619455,29.53716248871701,28.64027881322881,24.632778550515997,24.60316351149488,25.24356605866839,27.997021516568886,27.16291810621821,28.425922275838637,23.2950688534366,24.99020170035003,19.99363905638632,21.470137539387206,24.112853462279094,26.784471993054773,24.2676958927329,20.83646357374506,23.952207870724852,24.780718238446344,19.322037778200723,19.993062112268575,24.694508277180734,26.643268357382794,28.883533072538604,29.964773650855324,30.26259644423921],[24.242163833782858,22.48374991381998,21.419080366351558,16.986604389947615,16.37891018587552,13.952858078301409,10.766718188552014,12.648530908143602,9.299088523998842,6.005106923533992,8.056580699686618,12.188655717394553,9.882084169301631,6.443009629370076,11.665123455545801,13.360886328552198,11.214543678661972,15.196348843483246,17.542156386392428,20.238650932206507,23.645338207028946,27.687657619324323,28.09349868842768,28.164260325696215,25.020569889782447,20.99130346328965,19.281480073549695,15.152071282366071,15.645518364641111,15.946422887007467,18.222640456718466,19.025838088958615,22.404646571424564,25.33299436393147,23.210866474370587,21.04303093428972,21.064640547179028,21.138858853856917,21.525982033516613,27.665255040343272,25.6680328893122,24.47982463113299,28.92871442033537,29.210067460428377,31.17885730438287,30.259716658943244,34.20061319068668,33.436878079042444,29.275730337418462,33.36388693855817,35.41942467515795,36.37834151552681,36.89744826571699,31.783321029017156,35.47771714339869,38.31491582583932,34.40279189049961,33.155850673890896,38.02990671308943,38.20989557696411,33.75995429070572,34.27170134629545,32.07877495149685,33.69532822275084,31.686285058681925,28.073282440818918,24.607405888010867,21.502991832889318,18.874854308720565,16.580827044972274,16.03985896410873,18.977906431900784,20.21589795739518,23.42308014611361,22.702593191641597,28.966873073219904,27.897396341626425,30.806020783861744,30.014178692796655,31.321598117853295,30.038316004252863,30.0436433905217,28.623453420062578,29.848417038266074,26.874636471460725,24.575596411979525,25.50667064180895,26.254981711906556,25.00573174227404,28.000060361365467,25.175867944981043,27.92101583565029,24.67092947647637,23.182173783906084,18.537081923367463,19.29137139036337,15.097319520669824,18.35507756551797,16.93068563597647,20.713118621884433,20.53373310159351,21.87621485399784,22.132023686914064,22.454767495349838,25.837487120000098,22.720355241188237,26.973180942547494,27.15134068520169,24.66642414592016,23.335629313906686,19.185586326727208,16.321011141574235,12.051135062675817,10.974991411319838,7.671374290929944,8.359838517047725,10.27732682593072,12.175176874102267,15.124135549899876,12.355587991600862,9.584981213282173,6.264199809904419,6.391040704018154,5.38076898565554,6.067831422953826,10.886884601281974,14.342008379750343,16.188283377949766,20.04167338993232,22.80614052836205,24.82431766588694,28.749332605016264,28.148958233766486,27.356436279508767,23.923382327063955,19.36921181741488,20.593076213578605,16.735363573383886,14.286135310680871,14.734248446763127,16.263136972990697,19.806232350034435,17.29660689869691,15.446674203359445,18.0363458924782,15.55834433569073,13.228183355119373,12.67540936684514,14.118251856435057,12.072928563847453,16.12109047527351,15.51596130579745,20.71634695857758,21.4973702026195,19.859390725936176,19.50925280850712,16.16843710576542,18.103988978393403,16.475502150320164,18.326049045093995,17.354988237753826,18.08341465267242,17.594510143182497,21.66209073557307,23.639604662535422,22.48023658761369,25.85030304491288,28.078678802281882,26.80382092452548,22.737310038931817,22.81708927259958,19.546682890973948,21.838815639028827,22.415748600331124,22.37591390125302,23.451377016688674,20.691446436640824,26.334587473307998,25.874412166025866,27.592274150856326,26.494540563983414,24.200275164175387,29.02274357053267,31.49098383541069,28.435390079031436,29.586872157405686,27.10263370031105,32.2363904439699,28.70977084894729,32.84797516884743,34.40371456016654,31.087765070191892,31.820904077193383,30.47519564098193,31.63855359193453,33.254418424364985,29.332696624434654,31.344909206021818,30.357252069872622,28.08165192082338,32.07692415707429,29.793129970100573,26.128911317999588,29.22877726620435,31.768719962635497,27.591224726819256,26.551256807564858,30.991214187486975,31.70707000002391,27.081092962576417,29.49273188243298,32.45554124786026,29.20443519647648,27.851840018106174,32.56008577552383,31.985817883421294,36.651305390194636,37.04190045724916,36.063980529091474,39.018681927895074,43.023642155777786,46.93846734758374,47.71928290260212,46.428747017769524,44.56119260463963,45.495587721927585,41.68488112334863,45.691853327790035,45.97122011750771,39.77567380536008,41.353673851174975,45.23406696908087,41.89265278502238,38.80184399381661,41.277091526949555,42.61085565491378,38.867996480009346,35.76165206137021,33.93107912384288,33.59863275862204,36.92679133587883,36.8247712816804,37.30612679803275,40.016873961276374,35.90944526073213,33.55624829218915,36.68604190745681,35.57670145894934,30.765878534266438,31.999182561059747,33.9793391603651,31.757707286004024,30.379309286862394,35.45707206188519,35.65129959752839,32.15442479590253,34.70466378834023,38.485772714744655,37.695525829255345,39.40030601351729,37.30344831503944,41.290671351386315,41.35879602118861,35.85612369710622,38.31642783479659,41.12763489125506,38.696194312057784,36.08517163675821,41.91928380626676,42.32188209757076,36.94661971256862,37.68077045250369,43.14610508708245,40.88829084426469,37.717087805837494,34.29771877202256,39.059410920982046,37.21563501903248,37.083024753206885,31.838129703997744,30.285510093681058,26.180642708494297,26.9882376700699,27.41850319000182,30.327533488080086,29.075592049520594,29.639588830658703,24.145225984588368,25.1257947813019,19.96944774297915,21.36921618499138,22.87809920894695,25.468573827516263,22.232380548683068,19.663865780138813,23.250386970066142,23.349150593896923,17.719143203039017,19.709125405530926,24.213123527692485,25.91126364025132,27.981752308936034,29.041388878657123,29.20883007115134],[21.69053281195493,20.461975773714272,20.003933240768355,16.288884430484384,16.480832024097694,12.175865862193612,9.561137921555538,10.505622001758105,6.024932650849106,4.917073283456732,6.090629440567175,9.67674973925949,9.899143504606947,7.168009975841272,11.787214457533548,13.803792308679968,13.363418641343035,17.523897687937634,20.78782583817779,23.23799063154893,26.927204257002767,30.93755863926848,31.68504778370155,32.062114035039805,28.86373607558112,24.861706302485366,22.916416597982554,18.594306063930382,18.096635660678672,17.267733479079226,18.99805681825863,19.09613514856705,21.985555447417703,25.593708812729915,23.94635479971497,22.607720320136252,22.2775444366844,23.654220500794082,24.43754131551677,30.49700798959092,29.162378890587796,27.775347114125804,32.09801943737675,32.80560132153001,35.095348410275946,34.42188256598429,38.336485263619764,37.214617462148695,33.11149151624333,37.124486061747504,38.87662030271572,39.58465287359176,39.89424024158251,34.80988544129591,37.967861278087604,41.197310320955914,37.525700513798306,35.728689962413455,40.57874156622714,41.283736298703296,36.70520335747244,36.769340208591245,34.184071076693854,36.259596893596964,34.59408563402315,30.714117022111132,27.369159575217235,23.80010794382956,21.567078070472444,18.484934646682284,18.40600725820828,21.02875557018159,21.856837881189772,25.6331050639733,24.334190612825495,30.479131649234386,29.74922403521065,32.07651298699021,31.57858885406239,33.27408350161477,31.682832135282858,32.1391036020128,30.064214664349304,31.745013750259876,29.22618363574769,26.57435125882069,27.764537496946218,27.62602795849067,26.84587912449131,28.93591642910418,26.25481480553241,28.742473800384175,25.093415705467017,23.00831778660733,18.282169762622367,18.409660404967923,14.059895624128075,17.154619092745072,15.220178348878298,18.181982807906266,19.463911120390968,20.505185567023016,21.935852048126293,22.059222490925368,26.301284942617475,23.058222842914184,27.127691487353264,27.687540903093623,24.842009536912155,23.11508447686395,18.87990998650733,16.925220473491343,12.198463962715916,12.8710675899384,10.217275098575891,12.230199695945581,14.17361021694619,16.699476100807146,19.249990656627965,15.79283586926581,13.494654160151399,10.128603425407954,11.12566439391168,9.39172638790203,8.0071299730861,13.14139806240811,14.581495891206554,17.339733651492814,20.947057780394772,23.917520126526362,26.201205393898817,29.984081534944426,30.05193761911365,28.870922202882184,26.066228803508796,21.565271955876767,22.778033248473292,19.675197506574786,17.892036637733145,18.53667385665953,20.77035272940829,24.29397646180452,21.579957885426772,19.45191704204357,21.663359650130595,18.541149983087916,16.325962690449966,14.554501406076241,15.115841006320656,11.794672813869246,14.961371896723715,13.002919643634296,18.087700009731343,17.799801025717965,16.54416792217024,17.11886685696795,14.548916138692022,16.973629120150253,16.343742600089268,18.6963205726598,19.214842523104856,20.299265031701566,20.836844919060706,24.58190621336045,26.859231266569502,26.19711304406992,29.12460415216382,31.65065864235634,30.021614706156505,26.112385147656358,25.812011988195003,22.664506306099128,24.567275557632584,24.71485190431873,24.277670659370326,24.572371499675707,21.67248125991818,27.05405953953516,27.46939501214239,28.94962759794124,28.66787969930001,25.65869445733839,30.904516872840343,33.716982511308785,30.968470397407703,32.46559202190462,30.241819211922838,35.576738825879104,32.39171512261772,36.387535137717165,37.8038164892987,34.24059387179216,34.74208423666661,33.0921771798364,33.88623572741672,35.18586139338272,31.04731518296893,32.511683025931504,31.117575859634815,28.403237185228342,31.941960173826196,29.156845362531364,25.733811984130977,28.908147367657772,30.86782010180815,26.363781524489706,25.93256344422583,29.996083076709787,29.967347711932668,25.3924427345141,28.00556730345277,30.555969304252375,26.866470203373503,25.89505990490627,30.716783252962557,30.66040245492052,34.846924894247,36.22661567198103,35.08683648922247,37.66891034813718,41.95185202706276,45.52502393347398,46.6402791662318,45.21699646204401,43.64060609388238,44.650909094646224,40.94902116720989,45.28219305946284,45.567569639768806,39.54137465144357,41.31325324103226,45.430515808485026,42.15695065044362,39.23792503599202,42.055474788706,43.43324646522947,39.571976940451876,36.93372469749679,34.463714847330884,34.02236118483776,37.07255918115904,36.352306725906224,36.63113902463264,38.82446257470105,34.79299402116443,32.70552409022749,35.20289790310087,33.78684075780226,29.18750463348848,30.371239151199546,31.750829440012033,29.24468575799913,28.15232046166894,33.19130988523523,32.928491397692675,29.27717512420213,32.27219349446317,36.05020388580497,35.677612278181854,37.558442820199275,35.78652950716698,39.98607105999753,39.86497618338716,34.60109079839742,37.46179361125062,40.27644116626054,37.81552503541059,35.70339384457388,41.6319216444942,41.94684567816895,36.76743605613283,37.93202044660383,43.33895270432626,41.027876463971914,38.18951071509298,34.50948557049851,39.46557613384471,37.43336709961242,36.692468837393164,31.59888151664319,29.76869683824905,25.347997489043806,26.804309478792153,27.611117775099046,30.897858633095655,29.845061528126394,29.931413868181913,24.522947139116255,25.610956822552946,20.479737286000276,20.74443185084798,21.78461760399327,23.774189316606122,20.206995266574516,18.14924735063196,21.191774276436465,20.565506706417175,15.154293295645445,17.29179875682338,21.392056791196158,22.534419094276938,24.479988538369756,25.668087446943105,25.737911008969796],[24.858464169822895,23.89730701416971,23.593755022902418,20.05832646370116,20.142004188441877,15.640806570163182,12.8542220196701,12.805246586278102,8.066845591743313,6.102408926912931,4.735569510716726,8.527072131044415,9.408298457864785,5.883290092670247,9.406399319000723,12.084920028266474,12.403161164004288,15.977845371788565,19.41847370676217,22.089025170382012,25.66341127140573,29.817134929628672,30.56976203853904,31.310044231901486,28.33822117955475,24.218078113274935,22.616747414984957,18.32237170977029,17.273482023918067,16.36937658397113,16.73595941119907,17.54291803832653,19.852561996926276,23.348762795876837,22.251996493823647,21.124342631422973,21.41033810790436,23.087753089400444,24.374222399143044,30.570234633481043,29.333876124095422,27.202815810851472,31.47173502315445,32.53740487165924,34.81833159687856,34.5169255271076,38.42922368456637,37.16341155895487,33.4309373587712,37.70397304557829,39.051757979672615,39.89170402707565,39.84560367372217,34.80723194074693,37.557506882555025,40.68497493688359,36.965911803294304,34.82838944801334,39.57074775713463,40.388254127274045,35.532496544858546,35.119832838516665,32.27995569694191,34.30335296997905,33.02688900121081,29.199850073203844,25.508925851788366,21.80662920071997,19.49113263241992,15.965973389968621,16.004094946866815,18.287568208848562,18.970394037556776,23.07971840925456,21.779008277928348,27.837303711990852,27.64496543690705,29.79418500520585,29.751044531309766,31.83988490860578,30.627318947333123,31.623293317297414,29.738945659083857,31.91000860092417,29.544046554867748,26.390430375446932,27.02185341285253,26.59785532606096,25.35461674403343,26.919043264099095,23.92725242537151,25.958057766991242,22.210472848914513,20.183612782147335,15.582806307231982,15.215998294487765,10.930771887942669,14.878688493239508,13.577325682767045,17.096392165547165,18.46423959694976,20.573623070559442,21.84134821147269,22.91457814934023,27.451962861382118,24.803527303250597,29.037224136085353,30.027671219165164,27.517045257469324,25.388971023246896,21.538757967657755,19.20470973132643,14.60465830376412,15.126173230788655,11.520188450590002,13.67069029519933,14.537265700509868,17.361877744602168,18.678670536230506,14.82929134663467,12.861076177246158,9.991488498526603,12.3866112039707,11.516073124119561,11.005617665589744,16.03529579247129,17.80804514605275,20.216654653525083,23.79991167653456,26.273313429573385,29.053170478851747,32.61188237451118,32.516170282761585,30.945958665831835,28.45638834706371,23.997625202262064,25.790439164197988,22.37667179971846,20.40366015155203,20.461118806162638,22.314015555364826,25.322013854883636,22.162808088839625,20.40842142229858,22.27136011821238,18.81356497018869,17.154825190085127,15.330829979582512,16.38712093479754,13.259886417544669,16.590747114078756,14.056196725507386,18.849125946152054,18.195646572199383,16.151604411185673,16.981463902517852,14.49332354640777,17.67524102182699,16.506886659367957,19.91956764197305,20.631272702115652,20.84917482613573,22.026811370178287,25.374114274045684,28.30151308027942,28.015044216375337,31.190879958764434,33.848909770815524,32.58544592370096,28.608403679478023,28.255922151876696,24.828030784341298,26.24973615720869,26.019207725972002,25.10685500566978,25.25135443590922,21.783773797800908,27.10080701951852,27.798915901949705,29.601117587789666,29.749714939844,27.145268990258728,32.524849796944466,35.38608574055721,32.63301225651442,33.55241298124032,30.98924719256875,36.393631960834455,33.609635172226284,37.70585285326945,39.43538560032576,35.90944122172486,36.84453977172745,35.441833113145584,36.38835435944496,37.93638890562604,34.00361673293893,35.52177846345685,34.35956885567164,31.458974572629426,35.09333876346511,32.119332184159816,28.8612094905864,32.297512127695015,34.09531802081706,29.58294760826131,29.515913998649996,33.466842389734026,33.12280437489526,28.77550072211409,31.501898107661436,33.88199587134521,30.039705644824487,29.30577806911787,34.14423038495627,34.24467668630088,38.239429266312776,39.89701025084712,38.65894212990063,41.11797240589013,45.39383893428134,48.8894805377802,50.00380304240264,48.39792892271729,46.80228194813162,47.656836903597714,43.84567184669452,48.203600472348604,48.71114167939751,42.736055286765975,44.31427784086065,48.571578284861566,45.45805408789691,42.43954118393893,45.15435408851279,46.776052785892254,43.00632210051943,40.125748405445016,37.76570994390515,36.925718378376715,39.9440524663078,39.23786160707029,39.20015999635213,41.26188375052053,37.049794408077766,35.33840179186408,37.8242202262805,36.0629770217835,31.633529228584074,33.160953564910926,34.279133198339046,31.679323993081407,30.978001551745685,35.96289513724117,35.48181064284104,31.925578984315088,35.214699701751826,38.919067290309364,38.743123691078225,40.52907970681985,38.73566910682672,42.991248666887024,43.02563196601111,37.883885170647474,40.67892404438313,43.63099929748882,41.26425305356711,39.157848957242734,45.061760723115256,45.52454869136019,40.40622170993142,41.495121175550864,46.94267013345366,44.74087732349402,41.90485388409236,38.2611388992657,43.24777464434442,41.23200178452059,40.446179408787195,35.376549862818294,33.49271198193944,29.051792803752853,30.589092350085185,31.405853989984074,34.68543563053389,33.569900650360495,33.56987095768395,28.09694564527756,28.927373748613356,23.808337036210027,24.147216022847907,24.67345611795843,26.54475197007673,22.592366848111745,21.154912605631775,24.256590541712008,23.142342779326107,17.896199674841846,20.505037493165062,24.308577474745057,25.0755061908276,26.84494348754358,28.01811939771518,27.895266912692612],[27.250583615732673,26.343057805855516,26.341762875259974,22.129642097694468,22.659089976016514,18.78730994629904,16.14713459264818,16.80864809991759,12.154488866541964,9.627828489303075,8.498189832308757,12.453306498686398,12.41935607383527,7.809147801187916,10.988078492406752,14.078885070023727,13.563532479784664,16.338965512303407,18.74325096668991,22.16695915517139,25.194414739577507,29.619212746694945,29.82439581416478,30.527327894093446,27.940810858465476,23.616053212842775,22.77063561813189,18.75319898901725,18.306799675251163,18.33928825116316,17.85406516018623,19.921287794674463,22.010785110226834,24.90024680221062,24.020903578089253,22.401917201903238,23.490379589421302,24.283729818799394,25.541264105471704,31.891129773793704,30.015989077181178,27.54194006842326,31.915925911422242,32.75910420392682,34.562317743929015,34.182862123365894,38.123249140812646,37.30445954996294,33.758943872611475,38.26587517588862,39.75381270582051,40.9479241167201,40.91638579315269,35.88021121504221,38.887312796619725,41.5467408490235,37.52238484715716,35.68994693222426,40.358944260734894,40.68981287110606,35.69385106166478,35.252904516261694,32.53282514687323,33.89414489893771,32.72461016252001,29.31588645306669,24.89179853329775,21.61608964475508,18.37340888307422,15.114138236230383,14.311586964459906,16.001047192424657,17.63626795491311,21.792587648681973,21.48297523593784,27.586387759672515,27.893565427994467,30.41690425041795,30.66529830723018,32.809460871328056,32.22149615989975,33.23850489936768,31.991374617798385,34.07597196204644,31.420988269410806,28.296887326513684,28.325880679166424,28.43822749196306,26.369711657125823,28.1822275113241,24.67037960057243,26.243289293344834,22.720019472129643,21.3204212063202,17.01423405035401,16.33560060228106,12.40842015755178,17.414488627457544,16.87028262490002,20.885719968158764,21.814003695960686,24.470392666013893,25.189373587119547,26.618310431152633,30.81670573322297,28.259224863585843,32.59640446016132,33.35667715635175,30.905104575601833,29.036628395805565,25.074388136531855,22.42810575746874,17.9262927808993,17.59454484747635,13.531204183902123,14.638802497945875,14.938909194724976,16.96719753535457,17.549070916212937,14.378541370008843,11.898142171546874,9.850212552660278,12.070277706016219,12.404670887083885,13.055338068103827,18.04359294450876,20.77533860144809,22.980604243235792,26.739948510422675,29.27654502827046,31.750967170665614,35.49866147830793,35.01550729744362,33.76676034913364,30.7941218740962,26.276433503969848,27.802505387206896,23.919326936894635,21.321608615418732,21.382323870550902,22.123847141722266,25.046978136446256,22.078291982699188,20.944591623449135,23.082482171609314,20.121139408507073,18.61935288229579,17.707278968298887,19.404629602354184,16.84327336125682,20.557434523134816,18.344889169132376,23.161411791156816,22.441426317568048,20.305326200446775,21.10722727647133,18.432047672407144,21.6102737261014,19.890985996311294,23.297263800504634,23.180356416018704,22.9320895742524,23.45064158894096,26.960871062834237,29.767672637908106,28.96786804938548,32.59492179043424,34.86413485901702,33.86944875136205,29.76351863514834,29.854138594632808,26.39854212001124,28.187780441191727,28.252714562649885,27.519589972673373,28.137490967779023,24.55150910873805,30.010449825432477,30.258307150308326,32.33747190542385,32.033963321128006,29.984879134577405,35.10714992192923,37.72239118985039,34.72631082555148,35.25283725706423,32.33826826982564,37.54781819104501,34.50886094678519,38.778084991471644,40.69284056080178,37.43994984161573,38.57777616112169,37.4067441649576,38.620363315307905,40.320341566343856,36.43348833667106,38.28298007452436,37.181564687763036,34.618463682946754,38.38227620975508,35.682730874920594,32.23037657497808,35.413870559826876,37.51266616432718,33.03880538966688,32.392155357358355,36.56472884626312,36.627461822180294,31.929004773428893,34.41034699386982,36.99238494905957,33.233175649620534,32.024849788613395,36.80250016629068,36.79717760558655,41.13274922507789,42.390338028576885,41.503617868929815,44.16134807868694,48.512603226716095,52.06183639390905,53.25030066234715,51.893890871515644,50.29638452670425,51.27115454260188,47.50271404930385,51.76247953440651,52.114791278266054,46.03893825020109,47.692825540369064,51.767893185219485,48.48617356520666,45.47432052363472,48.09670393680429,49.49084561059287,45.6785054939455,42.763719153155584,40.658133970273155,40.143984593945625,43.310749741196496,42.820031363757906,42.98597283304015,45.22954838966746,41.04362157791611,39.13636678774254,41.758004383302,40.17026025577677,35.64193963486662,37.00476622851136,38.280560945730585,35.70419515796044,34.76074784026365,39.776258885239024,39.353588693689595,35.63325309848513,38.762248051166885,42.55104929150595,42.280143684353654,44.21866008440623,42.46275311352513,46.66367475398605,46.53826515728973,41.2606048285626,44.105983973618024,46.8979425877022,44.39019010120346,42.2153782464313,48.13442825910958,48.36998703811173,43.08750312798078,44.194656895401764,49.59153946934653,47.13430214468671,44.16566516896181,40.496173010477136,45.21654776532737,43.03496130550036,42.52315827446209,37.34292715893647,35.90332517561258,31.465759373808737,32.42754594865116,33.374811189349174,36.532025758658804,35.61387010854115,36.101431704888014,30.697044225673118,31.80025908167345,26.629540388649342,27.299834141134863,28.357658940497952,30.394228791085823,26.642264769258524,24.808029444023017,27.849069106060664,27.03664447344807,21.726897858859672,23.769342103213994,27.74764651831807,28.54019604892698,30.38555309469043,31.578421149779224,31.4496978312579],[22.191874728155817,21.757454109487263,22.480147150226927,18.747777916149282,20.362306758871995,15.437428820870204,13.912428177516961,14.646818711516005,9.8794268052343,9.88720026881754,9.390898805337596,12.438425969519948,14.187994557677332,10.825568887669991,14.415257266817937,17.15890287448139,17.3233109985437,20.873594586370007,23.88283468399261,26.86204498754308,30.25675659756181,34.51624274010876,34.999544912739864,35.574548253438785,32.69885941684465,28.490316238533218,27.084899473085294,22.840155422604703,22.19598682468352,21.398097519886,21.71607055052165,22.479449873101665,24.585231203331166,28.21735333764955,27.289418832907256,26.213809605063943,26.426553500021818,28.005557701172894,29.085167365104688,35.2758282075957,33.803293285266456,31.911937481332217,36.26074764100785,37.088475456511745,39.1591104840209,38.58204138609098,42.5271235994073,41.579143345879174,37.680680619138954,41.89218921277353,43.56554480938174,44.43343897833419,44.58555378210434,39.51063827633387,42.48536496098833,45.57444844467662,41.78377549646817,39.82176120184128,44.58194924515327,45.24681890857969,40.40424647326163,40.040909196865535,37.22067089526426,39.03425395735916,37.785519240086664,34.093776013005005,30.129804040320483,26.589363611280543,23.832073801578208,20.383486525406692,19.952730294525207,21.697616566038086,23.011739345592762,27.281956964012743,26.423895369575916,32.45134978593411,32.55458290153257,34.704534974029066,34.79715524603134,36.915213855571054,35.70107819911489,36.59673543759815,34.61666993284482,36.623004562020654,34.18533826574931,31.250659815522646,32.02464068037598,31.653547293119992,30.4294027568535,31.919261821528742,28.84265484155113,30.588570735456223,26.790379116137945,24.746607538503536,20.286619873984854,19.391419798944916,15.294039129636129,19.362993332915842,17.83353715903682,20.492197764103377,22.844203899658897,24.328813836575172,26.23785629428964,26.668702593358056,31.277587015971655,28.098986440292936,32.06036356073321,32.702403821462326,29.646513048575166,27.89499350739181,23.59387833771741,22.094512006173723,17.33538955748776,18.21546419779034,15.387080332229868,17.085207068227934,18.573653727437193,20.758579606367668,22.503221628545525,19.192707432276844,16.68933076790413,13.873146622272362,15.05471797691357,14.077568232752384,13.06255023809751,18.203936122269397,19.278038865005232,22.415245531532225,25.945126316067388,29.114863057454137,31.232624546745665,35.081521354675836,35.29368774148978,34.16016507650369,31.344771832602042,26.836455857823104,27.698712929293173,24.65351580747938,22.62310137963747,23.45669712896609,25.04276592671239,28.585760783121906,25.914925937499635,24.1683986678206,26.44966068091433,23.331913965317277,21.33418547372695,19.66391387041071,20.316463102679748,16.79008390547817,19.49765560490187,16.61150599863671,21.247083664679366,19.519776052367927,18.535601366233237,20.195912943823195,18.326750639618098,21.26966805646011,20.86512263417666,23.719598898544707,24.52523011077923,25.34424888511187,25.964753724384092,29.67634978970807,32.063163913506614,31.19953176070179,34.285510659140755,36.616648938732475,34.963494690379356,31.021272187341538,30.931358101955265,27.850050096007102,29.884594095117713,30.0164038908963,29.44099540250453,29.586187139517612,26.415518649789192,31.689671423090328,32.405517205810916,33.98910607710373,33.923295376482514,30.935721574173375,36.238413025281886,39.06954488432153,36.31229049035035,37.68417508786338,35.29483017153844,40.61465947717998,37.396863155035064,41.48235582294869,42.97046698286819,39.48703788967113,39.99725421509193,38.3341946647919,39.10482310913558,40.2809309057787,36.008947415566425,37.35461197181204,35.65238459291616,32.988140051698146,36.173829773015015,33.28792975277522,29.939786654620725,32.776790468760865,34.48834196859823,29.801630149522794,29.23499602685784,33.09705142553247,32.80684781495555,27.929841003600092,30.34350111299642,32.64415727336923,28.657580807948666,27.477444599568408,32.220764527870706,32.612078010319046,36.64907131990795,38.56998117643682,37.75512666427939,40.15348771280493,44.792546117993034,48.00987697799579,49.59378049979911,48.37941414727611,47.14109676679878,48.38711091792735,44.903158462732065,49.413260384942625,49.49113720913982,43.57750755477625,45.63893876073111,49.727022458831165,46.328887794003165,43.628616686482374,46.65726610679118,47.76633151233605,43.755867155116924,41.580260429439,38.817968101655595,38.702363375610986,41.624994749786765,40.5504354610264,40.878369632924496,42.722426774928444,38.866034263900886,36.84620364151648,38.797159255104674,37.29405166217221,32.897760270471494,33.7867484218654,34.669190642262016,31.926107564839516,30.868932184841885,35.780822930815205,35.06660419573355,31.084282773646937,34.3164864065197,38.133595779343715,38.12159309679142,40.381198601411846,39.056295775639015,43.35097205178704,42.801597819924176,37.7046455487765,41.02565682479616,43.58598848801919,40.9343968086855,39.303088551790424,45.27640131005889,45.183535409381896,40.05744894100602,41.691457661957614,46.9116014440474,44.22117044266977,41.58927252275597,37.64160964644886,42.38881579648286,39.95066369711857,38.926029615589485,33.921013590364495,32.43913885163835,27.786368195362463,29.099412858993198,30.47055754595299,33.9310739123744,33.36629732576379,33.620662219938694,28.502309208750386,30.035682466580653,24.988868688880448,24.595932554849554,25.82055883323709,27.320626654908715,23.790001012829105,21.88641171791499,24.097977945531195,23.06960324116287,18.183567766559577,19.530819483103052,23.160097305235745,23.58508190207094,25.396731486828394,26.72349170126385,26.640556362107265],[22.361620087779766,21.77952495394884,21.843535723049506,19.05759146272822,19.59056521867451,14.06885240631676,11.999137346412608,11.265723801300807,6.430461375927946,7.153879152575364,5.862288643032803,7.833900532097168,10.81541537405587,8.87843008220862,11.714520360115495,14.016435346283647,15.218679414698324,19.02400785208321,22.94310684809838,25.218274108898406,29.015021523071926,32.999570599027535,34.03028242195006,34.81639244165136,31.69797527099209,27.712303505877447,25.76241828466023,21.39730365926916,19.963365653161468,18.294824809080914,18.88575189536372,18.687772158330915,20.736283356892994,24.77192498598692,23.83711161525116,23.32570112541551,23.01980915474935,25.51881830775622,26.836020409095795,32.81815171030699,32.06011811163319,30.163767197201953,34.30808572121477,35.52747357889177,38.06095032329151,37.782128955629084,41.658253459639994,40.165137985575946,36.326664709849595,40.39986472048038,41.67729427319158,42.25111671731996,42.19554389833075,37.198487866797045,39.68067131002813,43.14982725113667,39.679922587855,37.28144406422258,42.010712964146634,43.202876116970856,38.425377471240246,37.897585163776306,34.90358764273026,37.3261548959877,36.133794019875396,32.10435165557928,28.788152503465046,24.867406255746012,23.02302451820169,19.285588461118685,19.666263677771294,21.8579889328659,22.181557084575946,26.407554732387574,24.623405148682792,30.468210884143804,30.248453810524836,31.957637944087235,31.91727359582236,34.09041107629298,32.455505659742734,33.54707068790725,31.08361534935373,33.3706771656896,31.327690725171532,28.17551583875388,29.25684671550469,28.267835597907105,27.664473726928186,28.711209200778946,26.087770411290666,28.107531781012153,24.172242100335012,21.643910235910255,17.124942208098783,16.470510977507114,12.340150568112156,15.353206168718447,13.357173757587143,15.630254872629825,18.313905172824537,19.669532433082857,21.961082083710636,22.49272628567299,27.49066129832547,24.6186279782088,28.554639750016356,29.696285903941373,26.882502953068546,24.607187697166438,20.740641675107536,19.273110424599196,14.618313198178237,16.27180346002698,13.600016547518413,16.284480592847228,17.669512539412096,20.70366927947369,22.425208246937387,18.402935516747288,16.64283260108586,13.554459824571301,15.564910537735637,13.948959223739916,12.285363193510918,17.173496842055442,17.49803545121818,20.474821537519123,23.76619588440625,26.450761618289583,29.23848511507652,32.688082839537905,33.1403251894079,31.418055751842985,29.335919937356408,24.9818555682598,26.584842806308984,23.826443730236814,22.380030011902456,22.751946970542473,25.24035813568164,28.44361643494205,25.34479945985334,23.23135660356645,24.971380134686736,21.290669652507166,19.501316321036008,16.984342467003092,17.19331042721415,13.325982984132725,15.62734802288347,12.204705576474328,16.65798715758162,15.06707572595804,13.681787779567935,15.349174232748197,13.73611905092611,16.916656045243993,16.8355307295798,20.099593394376086,21.80744782681591,22.61088453902529,24.21090954689196,27.443961650571158,30.29108878421703,30.23115148463274,32.97352024995871,35.80178407700354,34.1692835361768,30.354780879976214,29.74015347267083,26.524064072750246,27.8191251547611,27.42251048369561,26.41913878795682,26.026552610269924,22.774053451809806,27.763222792716817,29.02359765506308,30.480314492935026,31.084168123276687,27.83870419747756,33.40315598983564,36.47726038654382,33.98694611364362,35.37641401171348,33.173558694027086,38.66247378395849,35.997719868358615,39.92284676670821,41.417972746484025,37.705189404419755,38.30873522896964,36.607311959099626,37.22040484894933,38.44667532201712,34.34192137895402,35.41481058516479,33.91830419504463,30.768397546257898,33.97731860389382,30.70464625796181,27.674699552175525,31.062406237973562,32.40700134945158,27.742988501205588,28.12280412227323,31.713561967801542,30.834464145467866,26.62908757904795,29.458014239788263,31.488800064047563,27.40967337112479,27.01957243350041,31.847567654996304,32.3077433171352,35.87052015172114,38.226202648385915,36.85294505073307,39.00630997371159,43.4273331061827,46.65045554194138,47.99060477546923,46.309127433786855,44.946668821425746,45.873780714864424,42.20093866559432,46.76720095651488,47.23553486137219,41.43834884533203,43.18305126644744,47.56071490736602,44.50095900377637,41.65819314790487,44.63007182428642,46.23356042702066,42.39387001985827,39.935156135227075,37.0960261875762,36.25661299686588,39.030042156312575,37.851489098041164,37.72430444330149,39.38461884264907,35.32776413576009,33.76517848036998,35.72249073007942,33.81383990091042,29.589962169720092,30.990279907256223,31.66387167245433,28.899289878683543,28.38663222400272,33.26504322236919,32.472484192674344,28.85348095464476,32.402908146189155,36.05754848443823,36.17320187741653,38.06946043870122,36.5433407569478,40.902123342530544,40.780364622123386,35.8698605773258,38.93068761847651,41.8413924541173,39.47831470697358,37.76473165795012,43.67448422291152,44.06730626320895,39.152766463281445,40.54550635753302,45.896825085597655,43.690503036696796,41.1323560334107,37.34900412153813,42.44682368954923,40.34907558913947,39.11738140108579,34.23913963480611,32.13263144941435,27.573760726455713,29.600627026553887,30.625168372699562,34.12012398652212,33.13618254343513,32.76225851895781,27.460931122221645,28.369283821889695,23.405847062084785,22.903200880575124,23.11143106469932,24.473967283967852,20.44669135146375,19.397237514254833,21.955211157213405,20.341489716072818,15.506794319270108,18.115901989240903,21.457407250157114,21.806611692024923,23.441990251681727,24.686352678704885,24.51742452470195],[25.737482543726355,25.675905898274742,26.391712877478966,23.471125777263165,24.605938341725754,19.01124878126908,17.224969400329233,16.41039803794731,11.663536943068852,11.75756752600977,9.361533261531084,10.96860865643416,14.376415695526628,11.66617242955451,13.150207180197565,16.112589823460503,17.787255557177296,20.713766675297954,24.329139505265506,27.072988540094208,30.497791796020273,34.69071347852683,35.48782169887677,36.584587361829946,33.85519729238975,29.707019070410603,28.364094190579998,24.1516630644869,22.510548870019505,21.04816551712171,19.899320993694005,20.735473813377798,21.821319028180625,25.589827668533413,25.5082111008171,25.209513788052806,25.708244546403932,28.265164199894354,29.983328563872455,36.09713166005512,35.204972220926365,32.58843737340921,36.69621425637813,38.13985241674608,40.45904910945162,40.433330707778374,44.313685885484695,42.9082566735918,39.435462414925226,43.7889292352025,44.81570612645751,45.61275743325169,45.26616469786181,40.325299750508044,42.50174051411193,45.73260158013347,42.1384298862445,39.51236922742639,44.07609836479893,45.23154109471894,40.15065248362669,39.080169726451985,35.83654689383621,37.95507949488544,37.28237924510803,33.50268542593127,29.573559523170992,25.72688737548399,23.47249885814054,19.40967949449178,19.563985844660913,20.83350305536886,21.418052160379894,26.057871512982036,24.690785951342257,30.2672690374757,30.985285668043606,32.48544897558554,33.14090877669537,35.78728641560158,34.721650383002576,36.37018851725171,34.215796798153136,36.920562574004556,34.95523349621722,31.41086956966584,31.82943578098293,30.657274352056373,29.397610284485125,29.77477571521134,26.69353072602587,27.82774679508712,23.841684619707955,21.520220542333014,17.505194446842673,15.743931001920703,12.214106323869903,16.39248874946107,15.348966818895201,17.75948138049648,20.907686186614786,23.235341009148165,25.475154260556216,26.77308927641451,31.959150364062644,29.474882262582657,33.46275082277613,34.80768529533304,32.09598634736612,29.684121301508817,25.956866515351454,24.36968935495529,19.760722108911203,21.10644474712479,17.800157985460356,20.158854795760305,20.81100853954225,23.655999156163976,24.268996918777553,20.31868254188086,18.593863698205148,16.167074737661718,18.712839424084713,17.917770140045388,16.973394044201612,22.021234342894143,22.73299229872902,25.654363345712444,28.996777225286905,31.552021241702306,34.444977061178626,37.87337584585464,38.20362969801518,36.376002526193155,34.31561572901561,29.929170892254625,31.607646776382545,28.5571432906626,26.735395492751742,26.929410829011054,28.73912461461852,31.692571976920895,28.43159358337449,26.797036277464354,28.462185222155142,24.74567195436518,23.34774268123863,21.103503848715626,21.771678941729117,18.143361683403448,20.481589781759354,16.66393648377604,20.53657335890464,18.025966124255827,16.317703043287736,18.643072515656815,17.456609769320085,21.15755202730048,20.72474999663612,24.687069162932936,26.351645817166208,26.494573724055634,28.275685249784964,31.33871801571229,34.54293556128831,34.463524179479506,37.5226407751254,40.2578785700876,38.856841619767465,34.93265876466732,34.48780502498896,31.128120502059563,32.348635473267976,31.82884978885079,30.564692674559456,30.1436938916322,26.461503570009477,31.330262041169004,32.78787249831099,34.528964988785404,35.36330299675707,32.48506769826967,38.07979336412148,41.132644927041625,38.57551022547252,39.506026879335,36.964788695149686,42.43665719301849,39.92478615076726,43.98859408770167,45.73341183325993,42.130328014284146,43.02009395562453,41.49203847457816,42.2430932813837,43.589368268025574,39.52809357479904,40.66756781237905,39.17104897092384,36.02649039527694,39.17076543809472,35.825841337727674,32.86620879585273,36.17792466951903,37.40356806612864,32.679891872900086,33.03188426576774,36.53031486417567,35.46367124164361,31.184353272902246,33.90602016487444,35.76381755787643,31.512864821693505,31.04648999772512,35.79623576971089,36.52868653674693,39.97148505509483,42.64806761108154,41.455367266252566,43.490496820100226,48.084540201133635,51.09075603360206,52.67350538548008,51.04244208426724,49.83866824718874,50.81244591424682,47.19820654838863,51.83518613458875,52.30018966063651,46.5680249946398,48.35462146642159,52.75798995027752,49.692580259988326,46.89429825284428,49.8890149976212,51.45558640697279,47.57988784567922,45.18341610819287,42.32899377711899,41.49674113154127,44.23252307669392,42.950365864164084,42.71204678555846,44.161726333015224,40.11037248039737,38.75770803990211,40.47257836277812,38.370557235125055,34.35523347208404,35.762492047276574,36.0784519729994,33.179112293333525,32.860083464572256,37.60573504321778,36.476656608613,32.75899928992688,36.525908394609935,40.14265930594967,40.53462373599725,42.58322250297213,41.27832577052746,45.68493427732807,45.411778294045575,40.63949498619655,43.88335518148158,46.70993570318618,44.28250535793421,42.78158661897991,48.700840157881416,48.93357886882593,44.04037545313222,45.61192276589979,50.89386151309937,48.51188655835003,46.01638367046578,42.11784684712869,47.085386301337316,44.76603648072523,43.43875486358687,38.59036800543641,36.719458269794565,32.053497805926945,33.90935258532569,35.21549044748623,38.76099512864759,38.0005596645271,37.77957892761348,32.56296596491682,33.606153208687786,28.63512019078801,28.02315862392021,28.21656634400428,29.350402695176932,25.24802941240553,24.457468642900878,26.667031006845423,24.732701084590705,20.295101613755058,22.582723078571917,25.554598353264133,25.353919193790706,26.795575615250307,28.064913375494786,27.70311179400457],[24.755279741326085,24.95996900596682,26.24585354786506,23.042340231655487,24.987272327252423,19.475520562923485,18.245803205660167,18.120833089739953,13.359356713726717,13.770042017660208,12.039607200434158,14.065097989606144,17.122251710852368,13.97248035369015,16.110741287487247,19.157067737996336,20.298747091788254,23.276538271264148,26.45898578909007,29.5195174275833,32.78327215841106,37.09934600173624,37.62428865635063,38.55817068306952,35.91159301403564,31.660605472024137,30.512736946982603,26.322748795757672,25.116132054702483,23.981629970170445,22.988649149659246,24.03194845669549,25.233744876322277,28.90941420567807,28.764367552974328,28.228339256856323,28.792786253099713,30.97172789046699,32.49415801563615,38.69295911881043,37.47359120170826,35.005193079942515,39.23042050628983,40.431102926901,42.53516558221294,42.2862006058188,46.207353654977176,45.097055760860385,41.50652672815551,45.87128842408122,47.17722582986578,48.070656408326656,47.89610785355523,42.89627750721323,45.36591131400563,48.47365873905607,44.74242283234742,42.35572800229502,46.961258341153645,47.8730085227865,42.79489348690119,41.856845078568426,38.71172007996312,40.55375633252729,39.81897063522414,36.18492988669992,31.9802951806794,28.326309300759306,25.621089826127992,21.74851991299267,21.45787045675406,22.461166641407118,23.626637777796667,28.268845207963903,27.377035955174915,33.03177954949806,33.868951625909595,35.56400633692071,36.2363708500605,38.81925624346637,37.844776298132025,39.3250994773593,37.27519779653189,39.78109373863358,37.63266166444193,34.27207375856566,34.70429396706459,33.80311937277842,32.39251498231528,33.003858563692134,29.77841868012795,30.812913095260917,26.89495753590063,24.757024195185846,20.76706819173209,18.94937805642722,15.45601022722111,19.83487262443996,18.735990085315837,20.976812776777003,24.230979945189663,26.250029617541998,28.571625027722,29.520323584056364,34.58992323877869,31.76549978804569,35.677110243291295,36.71465241366307,33.71868989189331,31.619031350191573,27.57487844253698,26.255591986947262,21.533536339167963,22.77235289226562,19.672485805916196,21.634706165484275,22.579886640089935,24.976648043465367,25.832291814308576,22.28511111904844,20.12457542856264,17.719929105612568,19.622370915513727,18.934000588409347,17.99330315062876,23.128725796632125,23.82152617269398,27.030338186667443,30.430780685462175,33.39528995448744,35.838180285270695,39.50396972988813,39.87287010962759,38.39890220452635,35.974692446402365,31.513166442343326,32.64014507379365,29.64238460160997,27.645721111811724,28.24435410923336,29.727261274628823,32.986413069306195,30.037517636203443,28.48208725643343,30.481443464127484,27.05320399161061,25.42100855473969,23.468208532306747,24.12233148654484,20.42931767246744,22.739109817912684,19.040967524763026,23.014514948318155,20.20097656502704,19.102589694399462,21.589010406082657,20.427029300860955,23.89687704652075,23.63060308949533,27.197400968519645,28.588939425065735,29.005109101694643,30.254929759711757,33.63550432145122,36.479071516466306,35.93698842315454,39.060831313547816,41.528878870898076,39.96927348099575,36.022610286833824,35.8245220665211,32.62994943343083,34.31030285579665,34.10187807966674,33.121720463547234,32.8962731411304,29.375703460325592,34.37613851712416,35.6205729375746,37.30798037810182,37.80952972438466,34.84317073456232,40.33809907814434,43.30710452933182,40.655887502472716,41.77989398853988,39.256410887946345,44.65774843531898,41.78244834034159,45.89637191956551,47.536954920537745,44.01152975078437,44.70028959008728,43.078563209375716,43.81030657225804,44.999440216645574,40.75787278141858,41.919039889402484,40.160650237476354,37.25818834451487,40.232172769904636,37.05088354620142,33.95604123779982,36.87292114396984,38.18324839436072,33.40216340324506,33.27950258815391,36.813005086270906,35.95890994560618,31.29298462051664,33.756032983102536,35.65571149462892,31.4025206940119,30.53156671509074,35.18375301518135,36.00657884610645,39.59053859308459,42.225326428078304,41.370462089014765,43.452000010027426,48.24050628259803,51.131926228768044,52.970613406354985,51.64579167898548,50.617535714173826,51.84510342284635,48.419266319105326,53.090048653091344,53.26061353296107,47.51651313493301,49.586907547871704,53.82816941555639,50.546433567919394,47.91530776837461,51.04477686566961,52.25796305850531,48.242201631890474,46.200359529506926,43.22353910341336,42.89268848262001,45.64400176829946,44.26371513377582,44.320542215609514,45.76265501195584,41.912839436535954,40.27752830327135,41.80259915812036,39.94827099240251,35.876348948057974,36.87340158077789,37.18660212231129,34.25309715042964,33.61141508743707,38.33130558678725,37.1533178044884,33.16528777530441,36.78700168084073,40.48935110650201,40.895549427651346,43.23660383231353,42.172513712550106,46.56492612259009,45.931397933574246,41.123699629909666,44.63902248840721,47.20051234505288,44.578605726605176,43.283708311495346,49.237765998310486,49.10616189587298,44.15683809763764,46.00332949372953,51.14798458249852,48.43558386714709,46.002892424980686,41.95428111627736,46.70543419972512,44.13162154801488,42.77788248935617,37.9448380753802,36.421642771369946,31.680141621856297,33.233878722862656,34.83992430403336,38.421703725557784,37.993258177634765,38.05185897628441,33.03829779891188,34.51606669531144,29.554744606224965,28.726684333045114,29.48337491515551,30.540444677661913,26.76209874598544,25.519002823638584,27.309967708270243,25.614541483360746,21.29299795867563,22.749250254081694,25.715670612158608,25.41502519048231,26.927223594975043,28.27634138271035,27.970282093826814],[20.389269117369167,20.837482881786837,22.38078567093433,19.89236699129315,22.195020167137322,16.139233755767354,15.736356197736097,15.50370948516771,11.301202194411669,13.387255550962767,12.43783264557371,13.706685548386776,17.38155160405333,15.224576563807066,17.87866651517737,20.409308070588786,21.684625688570453,25.307180740561638,28.929209314077376,31.540966859696557,35.162072121721565,39.286151422400636,40.10047103458815,40.859821597595726,37.883836248787745,33.776145795466164,32.07401734530998,27.734604164651852,26.481773338043514,24.847534444299548,24.93405977000992,24.850287468143193,26.37666221304037,30.52244887929383,30.020842851499538,29.730932667664614,29.494870511071234,32.09343075297015,33.37605489391118,39.36636540005752,38.486879655410384,36.61139802954888,40.80453368947997,41.941356171574206,44.31418720990972,43.89027046388459,47.80090469476817,46.53040434283979,42.62354067995044,46.69062471494099,48.14720569765386,48.737462822728524,48.75700276297315,43.74708737686533,46.25407995752026,49.72003149876315,46.211472646590224,43.8113607504605,48.51214274728137,49.67396333816329,44.818763629357605,44.133314351517775,41.030370828164905,43.29514102626756,42.3024890191306,38.39073481403834,34.7326884190103,30.890685472658323,28.64659190846105,24.80400333411682,24.8187429353105,26.3460372249884,27.166582750975568,31.679744655688562,30.265351221574328,35.97312420510171,36.2715980489387,37.81362589337324,38.09892610996659,40.46524345957285,38.894251972770505,40.097417774236916,37.50149030252498,39.80275231887208,37.81036017554078,34.721150251309574,35.82270247276561,34.691709808102196,34.048097076942796,34.71645705223347,31.97116185188395,33.485935739229355,29.46497365754098,26.896317885902647,22.700683456366896,21.27811484691185,17.578433453406852,20.80952172147544,18.858444433936647,20.015350825639995,23.933306302061006,24.812443775160155,27.856649995600414,27.91860189986242,33.08671948146878,29.85351653984545,33.40323900856155,34.33599504523194,31.009527394770817,29.02309205966492,24.899243001385067,24.42139954014447,19.786095890273465,21.81256153743282,19.69353519561348,22.01437050338007,23.71612534844217,26.287574469559196,28.089771737730217,24.39882544957846,22.24759840736746,19.293403363269952,20.621051692906555,19.076625539271816,17.132081525018396,21.975140735328573,21.43389111112578,25.089664882255548,28.183976598584962,31.45046362341418,33.65776186171847,37.27350717746639,38.139677542628185,36.728898000655114,34.519714215929056,30.189166075420097,30.954193736643752,28.645183754402304,27.19320339180817,28.194910293430627,30.41178303510419,34.01186483872758,31.245622875362706,29.19829667588134,31.228734265357236,27.741291125952035,25.774323951338374,23.354759885795232,23.24752280672307,19.108339191114737,20.570844384638615,16.686299441902886,20.3723451298611,17.107600606020963,17.081975945122306,19.900836523908783,19.27365388433372,22.264994273778107,22.95669334207028,25.867215648313753,27.840952281779312,29.04845272215016,30.342031728526013,33.79616562179581,36.289552121587235,35.809661758347396,38.444837958367415,41.011605231274174,39.013308309953175,35.26742764171638,34.85029818824868,31.957352116115953,33.694930120448156,33.51964427063443,32.6981796796187,32.16824063744734,29.10836037550366,33.909193322895476,35.3818321366695,36.64242970712517,37.25860386571246,33.64526544851366,39.16801526044617,42.25880588689889,39.83432604812614,41.596651562118204,39.53194763253447,44.97652175513595,42.02519943943165,45.93708462852743,47.23282863757903,43.53760310799818,43.76405980368235,41.80347779849304,42.19222891002947,43.00899909760922,38.594012493891526,39.357013498748834,37.261627217360356,34.27566395146725,36.822851087465835,33.53362179650138,30.603966071616384,33.31838731173597,34.30660454428555,29.478563565537,29.580677757997886,32.801087010017305,31.649993141137212,27.063607011851342,29.53705028872052,31.19188943089987,26.84341045851118,26.186411455571925,30.791037781109218,31.842276087529378,35.10575909995326,38.19191879321467,37.24029406509216,39.10340477161286,43.968140875659856,46.674250954918236,48.660094850949534,47.35232700716885,46.51586177325915,47.858828348309316,44.61773024232034,49.401496090813225,49.44202967832589,43.86295885397699,46.12936348682232,50.37187247339563,47.095346340566266,44.66758472697673,48.01860301737686,49.11490815818642,45.0465411096058,43.45626837132663,40.077015966859236,39.91354063120623,42.45293049573668,40.70888471333119,40.84885492702341,42.03438232104681,38.43866938229728,36.74554409012536,37.843135130948596,36.077382369507156,32.13084373160398,32.83112385984701,32.915174952757376,29.92964623162185,29.242031580124774,33.85076232312209,32.5448027597259,28.48000841657241,32.14022312998715,35.815844907618,36.35433635768222,38.80732921238494,37.972788830427405,42.38193141778562,41.56369549506179,36.92543749481311,40.64537548565676,43.0981669950511,40.46743819878334,39.49408403401229,45.40844224876711,45.18018104284706,40.41937396275893,42.5127263992208,47.52903266014964,44.820269247690874,42.63556895333544,38.50851943046207,43.32691246168153,40.737899492066845,39.03104162942922,34.39523559011057,32.676447408981474,27.911370085581176,29.87690189381002,31.604154784547443,35.32440012896159,35.00179248749012,34.749979693740954,29.982156387955165,31.5855041373032,26.858488198778808,25.329959704628028,26.0377702941484,26.702533724170415,23.161677615048013,21.97263001688176,23.184351067474825,21.337849407205077,17.479394560479854,18.561399576678554,21.157792419171944,20.65736255883211,22.12430260004633,23.53544137782272,23.330331354117703],[22.594592646033973,23.666087035509683,25.692539455208635,23.834606164865704,26.374831194134337,20.02900079704792,19.944219074825696,19.107587925162726,15.248071486011838,17.543541701879477,15.995265656933697,16.41717690834393,20.90885761325099,19.03225875347174,20.79592269399781,23.371603482446293,25.312169956655822,28.609685852858,32.406532973536244,34.9767344306401,38.55482546904402,42.66485054013746,43.57278360606961,44.568873486179896,41.70504998815693,37.59948756178016,35.985779272997064,31.670539041907357,30.021440852115596,28.073001508902912,27.395290356203713,27.27556718709935,28.10200996942072,32.32193422907285,32.38706783631725,32.58740209101004,32.455970074067785,35.57980883644198,37.143335641718934,43.072463407553535,42.46188817886777,40.26999094162155,44.346737645534645,45.75951943769043,48.2122471040724,48.00724781530731,51.89780755427737,50.46476604636703,46.73473157448875,50.857520407397026,52.051364761621144,52.593633169490566,52.39153065596129,47.451611680080916,49.54787196119989,53.10311617679722,49.706418286884436,46.965784948246544,51.54231325412849,52.96584535385141,47.987124150114816,46.896064374109315,43.55441939098216,45.93441537134036,45.30165723047226,41.3914668701146,37.692405103289296,33.753735183222,31.667127601412083,27.572387354386382,27.74651751033366,28.8324841793615,29.45002779464022,34.15266133815045,32.60514491532182,37.95361034098589,38.711257043920725,39.8219004355195,40.4890008326452,43.16694181138257,41.659960858105116,43.27000305591739,40.50821369041782,43.15543026121277,41.44218518059118,38.09263956732628,39.06096193480518,37.46081800255676,36.851802890527296,36.80858186567684,34.100876812862346,35.12983227379303,31.05199072901717,28.34285621404946,24.59856140082666,22.584927988219473,19.4879659507781,22.521072608545282,20.795448588235253,21.22912647430678,25.978493397014212,27.008035733175358,30.501619534086757,30.7948254928316,36.28584996020595,33.301508143665885,36.681218406839875,37.91059371156372,34.608756193507006,32.391343678459506,28.545073336789507,28.359807751146434,23.85718067500401,26.188398434654488,24.013907887717068,26.525171736538958,27.96847446164049,30.701912176253547,32.05332546885518,28.188732930978922,26.259193385086302,23.488762572820143,25.188439115424888,23.74382758636333,21.790484424259596,26.57109030475359,25.628695850705775,29.337059223249632,32.242492523596994,35.36350543073383,37.7609837950529,41.18735999334458,42.27704570351144,40.61495986286106,38.773531653684074,34.52837207767291,35.42653567853067,33.27062039803546,31.91819828472652,32.81361848206625,35.06569580091649,38.53026032471372,35.59265497231951,33.600548393476814,35.43656427272664,31.72857309690637,29.97383586446342,27.31098236644622,27.093722092978588,22.858808952949452,23.843962171939314,19.44854854039023,22.29301103926688,18.023611991182698,18.22447197794391,21.749855189505297,21.880921859360257,25.091720770822384,26.064648958745828,29.344080992206194,31.839403903536407,32.874259575772975,34.62902087648601,37.839941769819276,40.60662467897483,40.379038451578516,42.952624245517725,45.63938046996323,43.63195768112407,39.924789962727765,39.39052251583229,36.47272498283476,37.95040776718643,37.52244679069282,36.4234978777297,35.54322259766254,32.337459377904395,36.8126069767427,38.7548419440097,39.994764153938206,41.090323702142996,37.386908458300596,43.02940197032018,46.2426552057285,43.961230233665944,45.65149596003414,43.58189008287667,49.08822664308444,46.39451933666283,50.28351585352196,51.625096117935925,47.86730934325756,48.13930358952567,46.14841122779107,46.434015183847656,47.178870646351484,42.776842560414025,43.29948016052617,41.10282649116127,37.93474762714609,40.172956943380754,36.651016961699476,34.027187930654904,36.718214156564216,37.264217930364985,32.436746802706054,32.970719993518955,35.77004134955636,34.05683358525285,29.79734688451366,32.25097261212703,33.43365436331486,28.925224160592233,28.632762672600677,33.01226809655303,34.49791816766229,37.192094408833185,41.00650786766421,40.01107849054099,41.497253804619746,46.45846631944259,48.771372339923474,51.02315480420002,49.63298346887095,49.05412086081846,50.39906705307514,47.293868347450655,52.20990506702841,52.2984785273746,46.96673243244371,49.270450261632895,53.614884977565715,50.46830789438109,48.171066623161394,51.63684806623921,52.78809489102041,48.73176975805426,47.372809995727344,43.748467575414175,43.44251171901058,45.75782436885007,43.672006376359555,43.58795131817387,44.321808240706474,40.84814728687255,39.514551669960994,40.0932495983624,38.05008506279815,34.514082534201656,35.22322926412519,34.70528789948007,31.58935243464135,31.306581952752843,35.59317750763976,33.81929446762917,29.825757222657188,33.79148983702176,37.27070419430119,38.24625661627707,40.76931987489185,40.25846970377342,44.701522881577795,43.76257598451516,39.50761463871437,43.40578543849861,45.79991499875555,43.22570764336773,42.64958209832556,48.471154792760935,48.18383338835301,43.67916882591844,45.99747320164741,50.87040670153443,48.16406753503863,46.23315596397447,42.04281200302324,46.829135927554795,44.1424298643701,42.08145519784815,37.70834958128031,35.940710116261684,31.18990963823821,33.40205173930535,35.32349013354737,39.12310803148462,38.941750616027164,38.466624627302814,33.90345052000299,35.46422514690766,30.920517030315146,28.950464000095554,29.24180038799401,29.414279460035164,25.821599917298947,25.254509368005223,25.93576939010756,23.51787567886405,20.47145639329752,21.512164677370862,23.279185410966434,22.03976043688666,23.123360197550717,24.497769306394208,24.092700484630992],[21.994688063539492,23.631166910660923,25.9681944145226,25.312448545421553,27.956224080673593,21.328793634229903,21.95157875534564,20.55307462413113,17.687942724156454,20.90803041457282,19.537308819976975,18.9422004983982,24.034289714829864,23.04933609277212,24.525895659075392,26.682806683575507,29.08417187205414,32.54259040614447,36.73698638838616,38.89942343890056,42.692234457617914,46.60147132622685,47.8151087738918,48.85117307715588,45.8222285613749,41.86788893678793,39.90539491262855,35.55591712161903,33.608141486925135,31.12965386269597,30.75706272966479,29.7888112328876,30.38105928470903,34.89007644653331,35.04318497573851,35.752197273655575,35.0953908688691,38.84675953518574,40.417921212764995,46.060617425232564,45.93798989928149,43.976628535256076,47.89768790456844,49.467065496340425,52.19170144713904,52.03940817791067,55.88137366167723,54.17618456147968,50.37248166629866,54.275391411209775,55.347430743462006,55.60502267950763,55.37469767772732,50.52889440174236,52.311242143599145,56.19225363346764,53.09037922009718,50.103360361601545,54.62555015365126,56.44181244580325,51.59060979425631,50.42431510304219,46.981927357990024,49.775452804730854,49.18434287230072,45.079286715076655,41.83051653677282,37.71784804268049,36.122469219098626,31.936421024656976,32.4462370440287,33.67342627919521,33.87467019923613,38.540873670330974,36.505049790684055,41.605093800621816,42.20503424283892,42.89571665151328,43.49093037516906,46.17379806119699,44.256851307365494,45.92296648062983,42.65708429570337,45.367960864158036,44.0164598800986,40.7245808957219,42.08923043469908,40.002441128886915,40.02265218556757,39.550504317094045,37.29699642712306,38.3933493381537,34.276739678702796,31.215636202957626,27.70393266138982,25.72956399489707,22.95794867390179,24.905195512095226,22.80040903954705,21.877903912428327,27.451240285903253,27.667793081405733,31.909113130800222,31.707490020305634,37.371789695078,34.38208246298287,37.27424646706777,38.67226268268273,35.26691612150328,32.96560066822367,29.46102022703344,30.083750370791414,25.94515638781578,28.947630847844334,27.432311976041934,30.27606235109833,31.97886030569607,34.95006097464281,36.60742533500694,32.53339605500041,30.81644634990379,27.85242223805892,29.47602906960276,27.58234698534851,25.07021122790541,29.4279082288002,27.388746184198226,31.26221632136275,33.70436784070483,36.7848161040013,39.17805594214769,42.30863345295378,43.91915988266857,42.08263709763463,40.77367488131989,36.78680326632972,37.6065559273578,36.085352182275265,35.23915362868685,36.247814183452434,39.0531397339538,42.57525797902524,39.628305299912746,37.34413483101568,38.99786385506654,35.12769264572472,33.34589301976551,30.23838771279058,29.424263849931474,25.00536660479265,24.98171540657686,20.34811845325993,22.073016783237556,16.94243897658894,18.219629940491913,22.254204969421824,23.343516342821538,26.18463047366175,28.013010150281605,30.982311696179057,34.23399128356324,35.660200958103346,37.795129407185776,40.793398625775396,43.50772663459512,43.584537815524854,45.714155153032856,48.581179378398645,46.30081108229466,42.82062529565676,42.00226983557992,39.30176262113408,40.53334675362369,39.91061075496208,38.71613913011185,37.35383149313689,34.45506481306886,38.42588250842166,40.85893164587368,41.74092998162448,43.29278699078559,39.11731920428347,44.78009509325797,48.14331024401399,46.185650318579796,48.252620430856574,46.545894647771945,52.08163763485097,49.59825434438292,53.27452760497831,54.393862687536185,50.486148212071846,50.4768938349849,48.250698967930475,48.1997881193427,48.628417820098505,44.20805519848985,44.22973140495132,41.79288136437757,38.42724981858188,40.0770410969758,36.3203247320094,34.17219915611066,36.71178769065893,36.60623419943791,31.881454196172673,33.06025000270505,35.182112375326945,32.73606331850491,29.060759254498144,31.508317284442306,32.04147150962232,27.45078172275239,27.801375315714893,31.846088603564624,33.81291442861214,35.653830113207086,40.38339607812486,39.18306782559578,40.13633666411134,45.10403431777405,46.944720578433056,49.43341757274682,47.91781510155353,47.66853142439364,49.02797151914815,46.17911296761678,51.22402270750497,51.3173951233927,46.38955894347571,48.78071613993676,53.194088356215204,50.24603358679376,48.20238424624047,51.85816366243465,53.032872437054245,49.030303050585054,48.134300497090734,44.08962302659346,43.691582702752896,45.62151207055589,43.02558216179958,42.7646470110465,42.90933417841068,39.76466391697865,38.76078722018612,38.58813517211574,36.373390431760775,33.38120058408998,33.923842801317576,32.70977612124348,29.52284083993368,29.645826987296868,33.45429585228389,31.209088381899356,27.389726471738946,31.60373246915403,34.78907939216639,36.23477506903322,38.78414744461348,38.68454299588183,43.100761722404734,42.0187568983884,38.30776791567488,42.3778597364603,44.67022964309516,42.23077918185477,42.190446983838825,47.80655148380474,47.50159105939199,43.438030276343,46.01713120086438,50.646265337870936,48.07806598541099,46.55233496524683,42.362618514906806,47.168005547408576,44.51482773497203,41.938707281629185,38.01002568947511,35.977673178573035,31.375465298032736,34.133805017937824,36.153190256049015,40.025099719404004,39.93769207189065,38.98268860992614,34.82135606006147,36.298545947558715,32.195968608630565,29.472038053341134,29.251864985166055,28.7110022187215,25.353538156593793,25.46308035855548,25.30344751707146,22.32027238538935,20.53055812830898,21.374329453795138,21.996009368975393,20.00493893396247,20.624130040332872,21.936195481545717,21.449717269251444],[21.949777617449495,23.93374044275908,26.955939534803385,25.848540210477914,29.329735485419416,23.0273122857868,24.006977772373418,23.408044319478197,20.25517048628564,23.23823459880922,22.122575314838585,22.289041765320874,26.915299709995804,25.23949919195792,27.20991292526795,29.668375528383155,31.575059900624098,35.02143347352827,38.79275905930395,41.36459764388276,44.973275182395284,49.07762233696266,49.96927863533115,50.87186482104336,47.96452491638489,43.8579012260794,42.16977562549422,37.82648435788357,36.28467812123713,34.22640748593733,33.77824162592986,33.33239990031992,34.07671634094048,38.42987716890818,38.53929279004079,38.89276524087343,38.50222605912622,41.76624771689854,43.201739119577525,49.04024598984412,48.482984158783594,46.543409656713166,50.632287145317285,51.96209242391999,54.4219557506233,54.06458371050043,57.963745284166365,56.599269098093416,52.71163434442682,56.704519394839586,58.06204136909141,58.494148394913864,58.41951665736332,53.47465418752324,55.60793503453071,59.292322333971356,55.964049122336476,53.23532548066605,57.82605016727589,59.31972290213038,54.39588257082321,53.33259284092192,49.96969192045215,52.40586721150049,51.773107035237295,47.83586496976298,44.17135501599781,40.23481259925966,38.10948031972642,34.03834524919487,34.12254378734326,35.08098094537579,35.841684751835174,40.572705668976205,39.0611983312737,44.329442307587584,45.134129133003825,46.114771686771405,46.788330441967005,49.458410874722446,47.76299160628395,49.3003856836916,46.27907314592286,48.82299451008811,47.19552799342074,44.01283320372431,45.244178039124286,43.522570164755436,43.17744423493809,43.00646930867312,40.43702825475292,41.39521973536214,37.30685970145301,34.49697385061088,30.884788868657903,28.788114711426932,25.85855453610236,28.524086083294424,26.577799771340857,26.16397926054919,31.45212347955502,31.770551350684787,35.7904811785087,35.48699904667052,40.977161059529564,37.69336598760161,40.6373900599436,41.677599331197996,38.0357371791277,36.09386794431748,32.22503542836421,32.859903218746254,28.547094418317624,31.2224383950127,29.64073935676147,32.07399176977021,33.898978321591414,36.45387388782632,38.18000596151988,34.45427711802578,32.35591171864361,29.482903436431638,30.682224124448975,29.02354484483363,26.710211795286728,31.20126227114299,29.454117487100746,33.50545730173604,36.09911361681677,39.56606786686452,41.4984748229629,44.92295564307712,46.440172154539596,45.00319604258618,43.206281153259916,39.09650557937752,39.396868837292445,37.78890737107268,36.66207812044339,37.993309199353334,40.3469347891377,44.10828520438817,41.42730636567846,39.30238197107842,41.288530977872085,37.68322101036161,35.72879655865778,32.99238521098088,32.38835680396246,27.99910537423794,28.319364208329194,23.948549091815835,26.126499179026403,21.212966690773975,22.546808505183726,26.41393078414801,27.11696237737588,29.920126324419563,31.5375234450366,34.31758468443592,37.08493099859099,38.59839648463069,40.183041795218585,43.52019322491517,45.94507303090612,45.51583717478379,47.82005430191608,50.37529775307809,48.008665742474506,44.46897020048753,43.96349897104441,41.37142095928719,43.08675698260547,42.79700939026778,41.872406832523815,40.8306396842215,37.942058131494974,42.208978917173894,44.311839493106476,45.26953544841748,46.392213098881655,42.280750742688404,47.84226442973488,51.08316413253377,48.94854103082599,51.0865792284106,49.28091125260487,54.75727546066622,51.8809467932074,55.6666116272137,56.74686808130432,52.95313388288971,52.82122094654661,50.563579981334456,50.573266106816675,50.90780558956132,46.322165657231764,46.47226340131114,43.81197368047583,40.78628880561599,42.3421763120827,38.86295241764181,36.494936437404355,38.57001750044226,38.67612906320015,33.939594992082206,34.41433647166825,36.63803289332634,34.608335153648866,30.420585795583644,32.46923015939329,33.11170819250417,28.620981019593263,28.329569148909304,32.16998410252355,34.20911910173079,36.28462218536232,40.82668372306304,40.12440380717241,41.18250056364159,46.36223353134759,48.07562967050243,50.86801281630876,49.788289295539364,49.724483588243345,51.38922849832052,48.75480851514392,53.778557891052614,53.511204328603036,48.54445492014697,51.24133909563799,55.420370812059105,52.198922409538056,50.3268471381784,54.08128706052442,54.829513944613325,50.67775965219586,50.12312179557066,46.04391673831065,46.23641211682119,48.24666949871031,45.65732975233363,45.77333812996718,46.02075549338442,43.077096255166474,41.695861213166424,41.44614594106447,39.59058495781726,36.46981637918518,36.54957353572754,35.47484821874998,32.32520094779129,31.96474995609135,35.73074875613275,33.527812851025836,29.400391476903366,33.28491077535423,36.564013991841556,37.95486501047676,40.85811138653918,41.014160073166764,45.36142535609181,43.84292701561098,40.06153052652731,44.40496367510705,46.3489419523019,43.66423338920776,43.81749294447777,49.45319936008675,48.6835574947057,44.532204120428695,47.40014488855086,51.85132727667642,48.86068498364723,47.38173595951061,43.04049751078032,47.514471143078524,44.54296941240137,41.99673538116558,38.10430283641464,36.59020379134209,31.950712396588262,34.2138479890185,36.584329305222795,40.4424536356169,40.758659500884335,40.22155437386514,36.29250650374577,38.256228531695925,34.127092035205465,31.362324511399514,31.878580901982115,31.416463425946528,28.446928487492677,27.903655804021973,27.428663204730945,24.940270623562434,23.091556766283823,22.960599536403386,23.70003889325728,21.7199348575514,22.50538453293536,23.892487027245558,23.5003669006576],[23.785347593052375,26.1229111614344,29.275074010184557,28.90584197503025,32.33159939372949,25.918405913419548,27.14052938466245,26.112392164691222,23.424011873698348,26.715097426735355,25.477230656100527,25.05420653639677,30.07497605124375,28.840315110538473,30.427163371016217,32.70853810698446,35.00789319333811,38.41502858187781,42.43113598782592,44.79015363188637,48.485783754240344,52.48431643689346,53.563145793708145,54.57415022332616,51.6233766850645,47.58929597137333,45.76473719782216,41.413696102042934,39.5994170393486,37.21784036456013,36.663585520590786,35.848153578975804,36.26532199184565,40.722356120972314,41.0524694679772,41.78695461573835,41.206148105166115,44.91053805513585,46.450291168036486,52.12901534156754,51.89721660087025,49.94304010209511,53.91286759749562,55.42088823958993,58.04366322215067,57.80288691000218,61.670489930972714,60.10511591399079,56.25656636315646,60.17121039501603,61.359562198825756,61.64036521676685,61.46288594483883,56.594770052096784,58.42435865407562,62.286200156708425,59.141866560188625,56.17586011251207,60.686660978829636,62.46226888104047,57.560280355612846,56.31952610567591,52.83493286548553,55.50611378164869,55.017899120181326,50.99222549771862,47.53986842143184,43.49401661179833,41.66478878505139,37.47848977550279,37.78234668446528,38.6959852398262,39.1714783856116,43.92464360515952,42.13213984410343,47.14801710572529,48.0183888272669,48.65507462335101,49.41845881195454,52.18722485890239,50.33375741016268,52.03781814470398,48.74844013130583,51.43911009388815,50.08031942681065,46.83341156646073,48.18492689262033,46.090260298143995,46.03892321818604,45.43756085371312,43.103899002231586,43.93659967842761,39.84234883573687,36.85604058188043,33.51824412291823,31.30109508559584,28.712354293958718,30.833881146565368,28.841454083297357,27.693153603082095,33.44888495166107,33.49322948096405,37.90378391231763,37.49760180465945,43.120491899397194,39.97382035778857,42.63326944257337,43.86445456180777,40.24569209947206,38.18306267103632,34.62129923896716,35.63575782548824,31.546191571933242,34.557031691042845,33.18657608292169,35.839104371016084,37.66382032912662,40.4095898229593,42.10482459773463,38.20329878352827,36.28856519714377,33.38074688449426,34.724221883120116,32.90892890648522,30.390108731402442,34.69964731616922,32.436724395991725,36.504289767312656,38.82943018715385,42.16715458735775,44.19412246252591,47.38464064807439,49.19072921321132,47.56679856200196,46.16078376698844,42.207378641261016,42.57892477490084,41.27147485241274,40.39581234432686,41.69163792572253,44.31602226546873,48.02883821296229,45.255467656665544,43.01916362992436,44.83921266056371,41.0771663394519,39.19910331264692,36.19658152104655,35.3326471269315,30.88416037611183,30.683015007375538,26.150977577256032,27.570579425285597,22.213995370421994,23.948326653347902,28.08991307917721,29.376741189545292,32.06795159635261,34.07531801943418,36.84799371315417,40.08683815767557,41.67522433480858,43.60188956910612,46.740807932190975,49.26169103832779,49.08884114316941,51.17876751032199,53.87590983032386,51.410952349818515,47.98601938859245,47.2978627876073,44.77297703902917,46.25391369144391,45.77345709189069,44.6979912208555,43.3306389097414,40.52977181372552,44.43787725312808,46.909445720664465,47.7062625363439,49.206991341968006,44.891640185273005,50.48491837182695,53.82791163253173,51.89630878739532,54.1491379298928,52.49894852165757,58.00805310616293,55.34746997328701,59.02475566212668,60.03358826525387,56.14967102183025,55.93233386015278,53.57706672202924,53.40781528331801,53.59394450865413,49.04275397859978,48.888296485575815,46.13124231601158,42.956413166286225,44.14298179063497,40.500241973572784,38.49282931136519,40.505753667476185,40.14777526356344,35.53911869974682,36.492164370330066,38.22097899653878,35.65704099032336,31.987370356071278,34.00409125244046,34.139731094032825,29.66554522421694,29.862179922401054,33.36207559287874,35.748729157984016,37.13228185781085,42.338491138926045,41.500424937794136,42.132888980915716,47.27221735707847,48.5783299743959,51.551153716090255,50.366814793292505,50.55744047978747,52.19625853643704,49.75090563849314,54.8409364799208,54.61818653069995,49.98252698421447,52.68915580395037,56.92179277496236,53.884110168983895,52.177080580758414,56.02498863762745,56.83277864696631,52.74900493397769,52.457768562377055,48.140169988953076,48.19172212100923,49.928194983208144,47.00782823587873,46.93386926142667,46.72732863262229,44.00967778151457,42.95366497600971,42.17113321923858,40.14033978676242,37.489328731301406,37.521417355658755,35.90331882462546,32.74440745380359,32.76314491711777,36.08359212627035,33.50483327803649,29.62109002981551,33.65564565025979,36.62524308862241,38.40735738995151,41.28517141855319,41.75464017124732,46.04382805381901,44.449920620834504,41.14096345181001,45.55645439454064,47.42715723456835,44.87612012011686,45.414837911130846,50.85956406208278,50.09690078067312,46.2986136770775,49.31858116481076,53.577664364446925,50.7091782684458,49.52063667039224,45.211608874799154,49.66322326350276,46.724825404897636,43.83574696984119,40.29713147517263,38.62700990204608,34.14388701837632,36.73316670815592,39.144350073210504,43.01623883429478,43.38049634925327,42.52730265400143,38.858800056899426,40.70497242872606,36.85648462481687,33.69850568075501,33.795531827419005,32.87234819889408,30.030822823854766,30.024028538514937,29.074196895539682,26.200527131714818,25.193652482655644,25.069347157570355,25.005007406341427,22.492026187498823,22.877123159412935,24.17980928738106,23.655168284608337],[24.969292795563284,27.696064417803495,31.40115396275953,31.060234091727615,35.08354003312928,28.975981993228864,30.59510819374417,30.003435865380276,27.36261776047043,30.65801537923661,29.633144002840982,29.510287638092848,34.329349419126935,32.822933454897495,34.692070971468766,37.08533667967102,39.13146116527938,42.57147358384235,46.369354457000824,48.92735342247232,52.538718282160744,56.631251075831,57.541181742137155,58.45335249751842,55.5544356170635,51.44924370598996,49.741337991819805,45.3916611322421,43.808522626694845,41.60662568432505,41.088217069265845,40.4415547788534,40.9280158355289,45.340694077255215,45.64918883944191,46.24174085945236,45.72093656658171,49.216289230017445,50.649191850740685,56.39686706914584,55.959837835789756,54.09375161317788,58.15108800477692,59.51044921493356,61.99952063384944,61.607420809685905,65.5036752156783,64.13570342572051,60.19752760200531,64.11427603886258,65.49926926645735,65.83474243986649,65.77723769558656,60.85958487709695,62.88036849257359,66.67946107415058,63.44132009824845,60.61316702162101,65.16420864435884,66.79310909498327,61.87312664635313,60.697128785454765,57.24976839504408,59.755750461674566,59.24201922243351,55.29344011245509,51.64551798226203,47.69091139440047,45.591992761992664,41.4782581378869,41.55148915688982,42.306021511008666,43.09257194247131,47.872408308562726,46.35135980924581,51.43097809489118,52.408005064700276,53.15994093579152,53.95745901484105,56.71310549619121,54.915719182389765,56.52862713779317,53.29068930329943,55.86130239615269,54.387674580348815,51.2477940729702,52.60805607987993,50.66700276934534,50.50770851035619,50.032173184845526,47.58021635427815,48.33503783416469,44.25663679640231,41.37181067575102,38.0085347931276,35.731800799961746,33.0927429777567,35.4678697957404,33.491948838708964,32.413513822741024,38.12669239843143,38.04133386322847,42.45990200683266,41.843924177949056,47.35750626617562,43.99159621569363,46.538810661458726,47.52579267834877,43.715891219143494,41.929933637171224,38.216044393014805,39.445187797157715,35.3516081055357,38.26900064533545,37.02173967088356,39.446210930490494,41.42053571546725,43.90657051245932,45.73379067389412,42.04922782944157,39.9129358434095,37.033487933249,38.0428121124693,36.298697136485224,33.809917661945136,38.06619346267923,35.75787551739182,39.95912870588579,42.25077148298557,45.85394124925278,47.499100086927385,50.81547107195529,52.69554647823187,51.34959539046499,49.71765455257795,45.763981549015526,45.70155476286018,44.52021116376563,43.57628921766936,45.14343837456978,47.560775758930376,51.462642195240846,48.90357914608347,46.71469941528757,48.73591934002991,45.14005467212307,43.128041236173566,40.29532863749701,39.438720283541976,34.98768226716221,34.79553605771071,30.43390808040449,31.91356146210478,26.598828018604472,28.57307152820755,32.67176147505087,33.88739070032695,36.45175764402652,38.50523585449788,41.04846149267525,44.10728380801458,45.86397527294952,47.46660946281913,50.802906182735256,53.074415011535145,52.588658723356936,54.67873380604649,57.16697870608323,54.558123415993315,51.17264966245164,50.653828251782286,48.29091472865456,50.07546862691472,49.802637630386286,48.9142344396243,47.667092727486185,44.96389327927424,48.96041648887128,51.30322322800598,52.056773578607796,53.343377372716745,48.95460820612108,54.45544211550117,57.73506121654805,55.76284802615157,58.18119737197367,56.56200259578706,62.02493763895836,59.11095961356225,62.80632357588995,63.710529753442394,59.88407970527676,59.479488999670934,57.033614827498106,56.809755598731115,56.816517783232165,52.14924165263013,51.9422374461265,48.94431648647312,46.01865203879542,46.924961748763664,43.480065097870565,41.468591971006454,43.02142480104205,42.62788964625264,38.12148177536828,38.6839725932616,40.23175685604495,37.8176598299401,34.003716102681025,35.62129337946452,35.60364962651431,31.319815217758894,31.18930940938524,34.25731557834443,36.83933748181918,38.059375868119744,43.35547314173212,42.906509602714195,43.41419407934494,48.67087121230253,49.64848422900671,52.964165043757376,52.14665798011676,52.6288246103112,54.52986063789699,52.39122937223556,57.46347275467249,56.92417740196298,52.443228697595465,55.42257823751491,59.44074637408744,56.25841822508696,54.80443563380253,58.773427590211554,59.21266254679485,55.05078174122254,55.215220193949925,50.763865366333434,51.28322691356193,52.94595289772961,49.885685324209376,50.07423161789037,49.75904665130672,47.349245810672414,46.09481979898028,45.00580874768542,43.24971932476883,40.704473095089824,40.296831110845304,38.589600060842905,35.50380745294799,35.25177084579258,38.291305854844936,35.632976710875504,31.649964015144924,35.371569442120844,38.23783955656829,40.117785070094115,43.27229642703577,44.11301928178646,48.27235345129837,46.25458187763221,43.139143408442074,47.79379606034577,49.29321752405089,46.60781939079268,47.50812331914081,52.83059541693217,51.65188862209819,47.989130644321584,51.32339599159436,55.289035358864695,52.1220557802374,51.142427909885434,46.7543733370368,50.85387001707227,47.67921012884509,44.66171147391719,41.395040819738995,40.12070993616561,35.760405418239586,38.05476444909906,40.755612232781004,44.5744234812282,45.315477286313964,44.66684001547769,41.378924031272916,43.57115777795133,39.882898463495074,36.517813751698284,37.041068861193864,35.98424942680809,33.56406541139309,33.24674014410192,31.830488718978394,29.252622148005905,28.572104031577926,27.67864871516361,27.35082337515854,24.692173131605735,25.033991570309645,26.34375459582403,25.84681215821156],[25.762645295158233,28.567329154876028,32.108324002634355,32.40231535289737,36.12484694431767,29.88608901862321,31.589997865493142,30.560208828044107,28.34290784821806,31.92014844625266,30.835814087382865,30.191560096798504,35.299469744230194,34.279572790162774,35.86632904083375,38.030983743964725,40.40639894475017,43.880098922557366,47.96712065412587,50.2415686458195,53.99011805850265,57.9395905411802,59.083757025402655,60.0733042347106,57.07655538882286,53.07567642469223,51.153653081515834,46.79163844826172,44.94952274432804,42.42598213741237,41.99218444874581,40.90205000027874,41.21564433831382,45.74047820707996,46.126554419181936,47.03859485144443,46.257930993157835,50.149504556704755,51.64648908612114,57.20365488377816,57.11646894605934,55.306598890486974,59.2356867038794,60.755554592419,63.44505763576749,63.16258317360414,67.01777103294086,65.41228135223886,61.49216770134783,65.29668553217238,66.5107869553253,66.67031496369391,66.5303969610163,61.6978920106043,63.44367275043989,67.43465262908802,64.40182224029293,61.372608768667945,65.85926591914013,67.77082444796847,62.92247483849102,61.65751618076341,58.13668254140002,60.92669465515634,60.465464185323825,56.389911572500466,53.05145155757807,48.970070531550064,47.232121384897766,43.0296725353615,43.369232939808924,44.253373956896056,44.693148294661,49.450140655748164,47.56978923872039,52.47299923505393,53.34635709298116,53.81639738206136,54.581300333092614,57.35231856593526,55.338429816675934,57.03643999547243,53.53182595927044,56.19287087974122,54.97503983833737,51.815977044551104,53.34989520830317,51.0880825087732,51.28105601042821,50.50757328863531,48.33915595529574,49.13249238782824,45.048128175192616,41.972514855465604,38.76885319476942,36.533503173755285,34.088979420015825,35.88260708792444,33.78639388975576,32.10213750766447,38.10244992326864,37.7081798567556,42.420989869198294,41.68083781258527,47.26523473664928,44.05026205349191,46.34884451679293,47.530650459416435,43.802978862889304,41.87536855958487,38.47971870234644,39.992544320703445,36.127231215293634,39.356641668801345,38.3293575716002,41.005061005476634,42.999888517187145,45.7280951814258,47.60620980577828,43.70791759724149,41.780083842298055,38.80882951526614,39.9778196991083,38.019808021316614,35.30398411158636,39.37466703399873,36.61099405254833,40.76891804048434,42.8135590813385,46.22695982934331,48.02979489275044,51.09065997231096,53.20887693394534,51.64726719205402,50.421613582879296,46.63151983588822,46.737521502247056,45.82043764992581,45.15526829352063,46.63002496562592,49.4009248093215,53.22470488116387,50.55051003521609,48.209543868669456,50.03674165485726,46.28493784539262,44.341865726366606,41.23631275035554,40.11944625068673,35.64089496183938,34.99367048823685,30.549721183818075,31.41572468337936,25.8985614623008,28.163074444864492,32.379902996763,34.04196559226877,36.45603190586705,38.84756746808232,41.3377580242621,44.82175344008333,46.660942402825015,48.60712045033743,51.725530189562065,54.09258770903399,53.918381701876434,55.77620974861636,58.449484000722535,55.77752432411965,52.50670264660721,51.76477606185979,49.44399319707394,50.94519399399511,50.47062352707868,49.44171676758439,47.89860454770527,45.31555052387163,48.9750518671257,51.62310323827344,52.21116290048566,53.83961586327291,49.27611014443292,54.790554446747265,58.161635659139655,56.394969941321094,58.91488090972339,57.46949562962775,62.95598434162414,60.28954637611648,63.85660016474611,64.6932960861632,60.77105356239307,60.30927957550464,57.79139153056853,57.41016860071252,57.32177738173209,52.733566340430286,52.26508788327724,49.26442434763051,46.15509091015078,46.8132355956712,43.201896100274425,41.51504347022171,43.13712543756333,42.35915112885384,37.977355516950624,39.070926754888106,40.23543317670976,37.34295742242925,34.06879414778025,35.780010831550285,35.37969919644549,31.11242703786372,31.525929259680566,34.41824499429943,37.192896066544115,37.84795851763132,43.64278740936849,42.92265088906801,43.097055159352536,48.22939314768394,48.96400572409107,52.287516491624366,51.259170560778685,51.86144361952605,53.647803346903586,51.59560151756273,56.69698135712618,56.29207184346201,52.07648183577622,54.96710570648779,59.07442196335601,56.11282026136157,54.73296960754097,58.7296515992695,59.3349205233317,55.27891710997206,55.533928352865644,50.93296622138363,51.19264160397033,52.62867434523271,49.34226782413795,49.305287453144786,48.645418355606935,46.372852831559236,45.43687753410351,43.992874618618906,42.050941625761354,39.88712024192269,39.54997387486084,37.442751660922724,34.376768855225365,34.50697978502426,37.214829048194744,34.30753256654084,30.62412130151615,34.50221263955259,37.09904465819834,39.254965188833935,42.26526400330249,43.24932214507096,47.361293694713844,45.429616131466716,42.68387223574373,47.28220707515881,48.82849283607006,46.32733130672097,47.43228607688691,52.59306632607293,51.575604037186075,48.20335985965114,51.53709512564082,55.4157520657516,52.490116144312765,51.699929856459974,47.399801864471684,51.59746363993652,48.575936867578534,45.31677516215994,42.287353055939164,40.71835721420921,36.496363923939654,39.18246828654712,41.774770868620706,45.59986351078932,46.231226480527155,45.2235288667613,42.06055144477996,44.023765967628876,40.562103922705454,36.945608545195796,36.99308077842801,35.6021177184265,33.22780230814957,33.418205565862785,31.75974844131706,28.840737925470343,28.76390179606466,28.105840826507837,27.214013127478164,24.242181217882735,24.258588858018292,25.48502709082077,24.904071827166348],[23.53419312208711,26.489975436079742,30.064616083118658,30.98951925150103,34.70010352415093,28.63207853958865,30.731972409033187,29.70647873677469,28.065189425674966,32.022889926310505,31.295124545986265,30.463205254797362,35.501831632320446,34.85848455565091,36.676972973997195,38.59638228880823,40.896269470065846,44.62125862996639,48.84305403997562,50.897390355330145,54.79831530078062,58.63019090043914,59.9066468817559,60.771061669022586,57.6073379656497,53.708594072951904,51.52527787411314,47.14959690557693,45.356925936215234,42.69496808909283,42.84920910953294,41.285761580281545,41.85442056582207,46.525775045412686,46.63147401591084,47.569750173364625,46.40173731427757,50.36705803213185,51.69024164727396,57.06347996993979,57.13044002647509,55.68352680544992,59.57439071710344,61.013406578092464,63.81925655319186,63.425051131530154,67.24728285537886,65.57682502889608,61.503847358393216,65.09660066901344,66.40746381402198,66.39897457428884,66.3970914294955,61.600162275915594,63.403057267444375,67.548772029939,64.64812802813269,61.68495024312506,66.2120957966566,68.21037388386848,63.531149480315165,62.47975937682113,59.04176795031541,62.02477436903102,61.36045080874985,57.15857232509897,54.114955622919545,49.97600591756644,48.42737206137764,44.286400865328474,44.7287632185982,45.9252206374011,46.25204236858176,50.92404648103569,48.82772278052197,53.825735886921464,54.332249306060746,54.81178404886374,55.29578271241836,57.87566653224262,55.553191622250075,57.02012381133669,53.288813687113226,55.74894249385185,54.60698286564186,51.67732149831179,53.55436257603153,51.27237972697874,51.845696308618884,51.236631835181676,49.31312339310651,50.438996576857136,46.33234821515822,43.11259902583155,39.76073181513006,37.825184414147635,35.209871636017375,36.55981631118679,34.132358485790476,32.0535542354811,38.069005732447785,37.041123291990054,41.95641642341434,40.70837801139841,46.14074149147256,42.76917455577819,44.7490511894587,45.81137611535765,41.99760744333696,40.23368120358436,36.96514802633302,38.932697525668026,35.33560460513248,38.79727895788848,38.26829980180159,41.00172935597747,43.28215631284333,46.03301087554439,48.34184056307692,44.428766871661956,42.512340438966774,39.362018877418635,40.27436733137496,38.020979995257484,35.00415336208592,38.71954149976644,35.41844383578798,39.608921131005715,41.36649881083006,44.832327330042105,46.420604356040066,49.35216367627417,51.7278164344797,50.25480724872019,49.1856883258004,45.589336444643,45.48524405571003,44.99075961583225,44.636486585771735,46.26407695157501,49.34469414940732,53.27212997494466,50.729131121976906,48.18548350616034,50.00251095776939,46.31151353143473,44.242101913307955,41.024872920341934,39.582162419742644,35.104565311300036,34.02371273682614,29.803254501779577,30.34851668843472,24.940615062850274,27.771851723958726,31.870724683845673,33.71243283176111,35.71654084006421,38.50394492397207,40.51568967853194,44.16728379043244,46.37587199463495,48.26670218915132,51.3708275527978,53.486034801224356,53.34287367462895,54.89248841368824,57.57276322741177,54.704209340116336,51.62238295648647,50.77090015218046,48.677006112866664,50.176821038232255,49.74525272507164,48.84849382044655,47.20264841399668,44.956320698771364,48.4439295474507,51.11403837304016,51.44776641120227,53.066813937267355,48.244549435097234,53.628942213290415,56.995384392199256,55.39228255328287,58.239505592469605,57.07490220885505,62.50199760743802,59.81485945276681,63.2174362109159,63.83921231165518,59.88056261876089,59.15258927712489,56.481696629945176,55.89918643575853,55.57782347175463,50.99229369032679,50.270271868551376,47.1255434711751,44.05903948016913,44.36287284788587,40.794027499733225,39.32764378166854,40.712597185412974,39.67028403362707,35.45428933134805,36.71599747736295,37.51288799892074,34.418562921656815,31.44563865400527,33.04671531001396,32.34537293974529,28.19746419368655,28.871907576795838,31.484760499523116,34.42320481097967,34.65614515108064,40.76214523328631,39.9705366483331,39.904615687711214,44.98025196370796,45.517102121965515,48.91920752837884,47.917106532288145,48.679967295546724,50.52918543987778,48.676375468417845,53.76453453293033,53.26314753435851,49.27183598163668,52.25038250839598,56.276310668937505,53.37974485465777,52.182898809431435,56.25439561214556,56.76927156716333,52.762736209133,53.33000217462395,48.56063442996171,48.93171313918444,50.17182195688074,46.68903597415888,46.71956368154311,45.861553391656045,43.87024340019225,42.92234957735665,41.13824026614061,39.33378068230561,37.392924813059345,36.79487917551951,34.497135361439476,31.509068833695117,31.63334956753912,34.041709046053406,31.040219355287682,27.449122977844404,31.225053661066607,33.663511079354954,35.947381057566915,38.99051626660251,40.19280300349983,44.204831323801095,42.1426330831018,39.66353607126344,44.31268456813278,45.721796821197586,43.28269022002554,44.64924965026362,49.63806321915461,48.57137539066294,45.45123476534048,48.892542943685825,52.582264564692494,49.73741060122728,49.16243897899211,44.926462428491604,49.072395784809764,46.12833350477795,42.660156369941795,39.91294047742589,38.23270469472238,34.20751997627642,37.11722088013985,39.68885339154576,43.47221130162063,44.15169680359098,42.93276316427441,40.09390593304852,42.05657678764817,38.92886097029911,34.98862810986732,34.96992832737919,33.28663112762573,31.29635017467413,31.579820210122488,29.45429675930245,26.559532369898967,27.134658027685113,26.147135921641315,24.709942799986457,21.548934715696273,21.396742482060507,22.605947707592346,22.127898770016255],[20.63948665924515,23.512685828079842,27.242285162412912,27.590340887966427,31.585586378991092,25.599471861756065,27.700651210162448,27.13486449195914,25.17913721295086,29.001710731213144,28.469218687742064,28.130030457407315,32.848715706403766,31.837468852428515,34.05959325275826,36.12988598965198,38.05318119904314,41.85676550349029,45.845501302077494,48.106559139006755,51.9344749598376,55.873729726195094,56.963004850047824,57.70109535250524,54.56671942912171,50.5936318563835,48.52537263406495,44.146607238633734,42.63814893177627,40.26527085347403,40.570891122233554,39.30586057148569,40.18954842745923,44.806323598795814,44.69877385779148,45.2842170426364,44.25699318304735,47.81633937531939,49.01223564497993,54.54528118945982,54.28760323874658,52.90148011791482,56.92235329342033,58.16497524899362,60.80954493088137,60.26742174627468,64.12662068018764,62.67296705590345,58.52416261421122,62.1778693213668,63.69742379319443,63.82682047115354,63.95651537920804,59.07043167295742,61.19994877318159,65.19034593607753,62.104967966074426,59.38527866826041,64.00683075308102,65.72602426200251,61.02793103190773,60.16217259099392,56.83812479563794,59.595243564090104,58.783508940186515,54.66000314193661,51.40782815764625,47.370442376246324,45.527672882194075,41.49997282092024,41.72273371575023,42.95232379674891,43.570055585618405,48.228301269066016,46.40449658662298,51.653720353258606,52.100032153271265,52.90685355400694,53.303006608776194,55.78825130557088,53.590343951021495,54.87796041874183,51.369520492576065,53.66918395066462,52.25602902403184,49.41253425243359,51.21838981708881,49.28993573549165,49.61085871405893,49.41375876881407,47.26874320705038,48.514035336783046,44.395612378250526,41.315852049945,37.69752799979615,35.85734274868002,32.92797132743449,34.74089576411559,32.30062217134012,30.795737086745675,36.49180363871634,35.6259099919935,40.264823307401386,39.01596662148781,44.34472536212095,40.75249779680062,42.97289816995567,43.7995863012294,39.86959463077032,38.27601250633195,34.64734896776962,36.39176626418691,32.58473033010581,35.79804319244242,35.18285711832247,37.69874412137134,40.06015248560227,42.596335861155545,45.01669315452516,41.296451119805496,39.1771447235437,36.03409315569205,36.71091709152616,34.552194701326954,31.64696369933342,35.47923615305655,32.51067085113644,36.776952038604534,38.760394141337144,42.45156341380955,43.85576853418868,47.05561418360127,49.21209656816326,47.97685613548926,46.49439743530371,42.74653135718577,42.44833971023208,41.757309996118785,41.200561314237135,42.9539282196652,45.79633555235838,49.832560178148384,47.42953425121997,44.96450291430259,46.97743122733753,43.45552161451657,41.26689470118472,38.288738732899844,37.02548010612823,32.552880893351244,31.866795132411585,27.77116407827781,28.99143673473609,23.83329368652224,26.488064516206254,30.42529803477806,31.79142715329983,33.8598577903728,36.38360153892994,38.32732107493473,41.563512642505536,43.793789070428545,45.311437400390446,48.648997075043916,50.60491793740594,50.158572398886335,51.87941996446712,54.39100554403433,51.54723631418517,48.37441024207061,47.7145490143193,45.6112657904855,47.40286763912359,47.19436563135925,46.483470785411036,45.14055627951255,42.846695040375906,46.689140684508324,49.01491063326479,49.46942818021468,50.702258893411035,46.0005116787617,51.35969233058082,54.63409016249627,52.83595045908985,55.65368958985673,54.37328794677926,59.77136483035103,56.820076574067265,60.32144461644852,60.970308489173306,57.09142935019961,56.375883169844926,53.749641078448334,53.303464031194224,53.06192471410024,48.38352638673789,47.91741297564245,44.76867861621969,41.876196704298636,42.459188415442455,39.053898799493616,37.22018028535528,38.559671504097764,37.946511013292664,33.55509324537568,34.27659070008322,35.519912320305366,32.945456995161365,29.33537021473623,30.904490663418073,30.67029042627586,26.4278348510422,26.53632453667739,29.470988384600776,32.17637660315768,33.1015257219192,38.65325365758572,38.079360671489994,38.42813509219768,43.65156662227745,44.557931348690246,47.8838414222511,47.06839325116001,47.63658268245867,49.592762636725276,47.59561981756978,52.65976476122087,52.03320809610629,47.70186716286466,50.76632780625825,54.71971455613525,51.58011546392148,50.273054658447286,54.31697781198177,54.6850081104126,50.5616323538276,51.000225982384094,46.37816554649659,47.009729899895895,48.5079236390409,45.28239591595296,45.57069132965432,45.142449576256965,42.96844206897883,41.629568105977526,40.29136961320241,38.70762530000182,36.27521485788818,35.6037668593613,33.81217610012874,30.78191108188276,30.43837058655197,33.317399002466075,30.64810855006084,26.65318750888381,30.29839371685432,33.121955115240084,35.03782759307747,38.228930618310876,39.200747771423416,43.30177814925544,41.19303810857099,38.219178511171094,42.92154902723062,44.335712153252686,41.692232944323266,42.773629629214966,47.98461816598679,46.80035222807696,43.31827880797047,46.72816881929607,50.572934562491334,47.508048842579555,46.69403832530093,42.35774441697888,46.48944116072734,43.42316101381463,40.20964786668524,37.14102578325232,35.67795721491476,31.45663645952491,34.05257233293289,36.704947907498536,40.51396898269024,41.253948102276965,40.36223814944856,37.352713194341625,39.54126301587785,36.17684744650899,32.45703364654691,32.94318142772495,31.627341543078195,29.589556651777638,29.295061376808786,27.417039179125595,24.892071219024245,24.80553835731437,23.536519170644507,22.723824055985,19.93832865624436,20.216566274209434,21.536764103447744,21.20501037307756],[19.142404815207268,21.558170709315764,24.73534742494296,24.937111483832393,28.398687995381398,22.095822167489892,23.846476010625697,22.959931444570472,20.94591560739392,24.80578455945674,24.184899140656988,23.66648796850766,28.47539950146389,27.676720666225844,29.77456038654334,31.74128355550613,33.78705159532689,37.603394071550305,41.73887415959878,43.84602019561266,47.740296737627716,51.60809511436581,52.811650601697615,53.60058283875308,50.41778089015745,46.50298185674541,44.336634310577935,39.95638066982108,38.31137073614074,35.83260082749873,36.21544837960793,34.81749349254435,35.75344998432699,40.400689470817746,40.226223350460295,40.85252175888526,39.766804586983575,43.42291369597664,44.671170547379646,50.1681721844475,50.03253202769737,48.60463899627295,52.5727616878831,53.89877181908878,56.63443227458475,56.18921455685419,60.02975808589415,58.44307888940311,54.34837627834903,58.00608389779252,59.3988659932228,59.50286372980243,59.56049427244566,54.69727953059451,56.73449705107314,60.75416757430885,57.71975681762085,54.93714795267044,59.5449066852176,61.33490744022784,56.66153495987796,55.79782063283865,52.47917895353104,55.340661967845946,54.501877287869696,50.323902002796345,47.226569369721105,43.135695145930256,41.4864612984811,37.440783580738255,37.82567128872575,39.232411219795665,39.63145749370966,44.23522252990557,42.222721606350106,47.47081161966082,47.772060086165375,48.55592112984128,48.874055374352835,51.329640029375994,49.08751617287459,50.3956591925428,46.87659790208416,49.23198823789964,47.864921661080494,44.95933098369444,46.7679787718708,44.786002234562616,45.17692902401939,44.98608089176873,42.92084720551135,44.29599001206789,40.17446710486748,37.03752832540475,33.36871367708876,31.662329897288714,28.68508331718807,30.313345440152272,27.806654589560754,26.334720742896746,31.98087451780787,31.19629930297624,35.786564041781986,34.67958204448251,40.090411803417496,36.627712266949615,39.00453768641896,40.00649926011056,36.21647039075308,34.3952687383136,30.817683250180426,32.3380961917194,28.489310913740876,31.766007275963307,31.06054086814141,33.74723627508767,36.015491727792956,38.74242847513216,41.10068784617116,37.233821695291276,35.27224272992119,32.09089672417521,32.99523704933473,30.76381825811925,27.822325691594006,31.713173282434013,28.81898692522943,32.99240126763749,35.05423229086214,38.55629171354186,40.28228408788458,43.426774119208794,45.47492616380032,44.02970703055026,42.669898275287906,38.88735479880158,38.95304676928562,38.11207634017417,37.58928033616945,39.124281134814176,42.12710161149491,46.01918945007658,43.45836720226622,40.95263408094837,42.82549468963971,39.19282378708034,37.086705990095936,33.993603440890844,32.732044561237025,28.2476073243512,27.601824274136014,23.378981561939394,24.69272361995349,19.551584489860957,22.04059732342559,25.963216993315097,27.29389384665967,29.45100472276753,31.916762167209036,34.014150002926854,37.341786390443694,39.45407332523128,41.18201492240717,44.39404124446235,46.532265143148365,46.310928365508744,48.059864478440005,50.734590078921144,48.02360452198166,44.793837732016115,44.010702238109545,41.757610444280644,43.3330005054901,42.98421064324212,42.15061589591221,40.75983002460445,38.38854371214375,42.22864724800449,44.59261343371177,45.09909324386942,46.439027651589775,41.81016449047983,47.255551272549,50.57462083960538,48.77247371430894,51.449024253778546,50.125910769744124,55.56173316728549,52.78014485889704,56.28336904570737,57.029173268822206,53.10938374097183,52.56185009181037,50.02349317823201,49.65442312859269,49.595990273463784,44.99968441647367,44.636812375562954,41.71319385374904,38.608493868698304,39.52876896970519,35.95581593585749,34.03847484286606,35.82962891079723,35.34755510825299,30.801065620320703,31.802047511111834,33.3338693810103,30.721182668747538,27.10926173208689,29.09204797687421,29.128253293020776,24.66661079197408,24.99570824677892,28.455542134157092,30.88876864884038,32.144396428427775,37.456233696435234,36.53633112587928,37.10846840474347,42.239599153226344,43.55817969619762,46.520194912316796,45.37977286144545,45.612632053157675,47.334786563625485,45.00071093336702,50.08402528347516,49.7390778278629,45.173374341321896,47.99244522616219,52.142555912186126,49.08880215738903,47.5075055862892,51.43264373051547,52.1265232756959,48.049699145190964,48.01514933437208,43.549371042921905,43.78462839439568,45.41344882985087,42.37564084687895,42.46867541389504,42.24432086724944,39.72498176066914,38.48284953279248,37.544922070741684,35.73939571098261,33.07930545286066,32.82409893177726,31.236576341659532,28.112871386742732,27.93409602772049,31.21982756951394,28.707795155863085,24.71865253204082,28.66456979637933,31.682110513577264,33.41026680641331,36.35102077198974,36.89469485986674,41.15121842995758,39.457997516587106,36.1735173440203,40.650474991248146,42.4391416743391,39.88464683241956,40.536525112148375,45.922975857148536,45.12763564297451,41.42755251997446,44.515952614904094,48.68852148847621,45.86970213035776,44.793305163710826,40.515683246356105,44.9916355178738,42.13835001921533,39.1218503773582,35.70813003963526,33.89345433473598,29.5032515662445,32.32773430650825,34.70066383588003,38.56759801210394,38.943356609766724,37.91939314584277,34.48670679069254,36.38711755248145,32.80828011798735,29.321185173666372,29.49617813447271,28.38612278883155,25.914919591726356,25.795121918213134,24.42650536101862,21.662991601341798,21.10883280608663,20.547328678758007,20.15158242436274,17.606371611796227,18.024773779470234,19.369282427792946,19.078251999771],[16.993543166695723,19.260471470762234,22.663853490696535,22.07050010795441,25.995117657508057,19.951635096804715,21.751438195501425,21.622474275539798,19.210407282226818,22.81779704893943,22.53069733687547,22.768020006677034,27.015387255473946,25.676108717383705,28.35937517933806,30.518297010456827,32.00171560912803,35.90591325802994,39.68728648014137,42.077377576392784,45.852919447329654,49.855275228609905,50.79858681047709,51.40652060040274,48.27435964929163,44.26731932285817,42.26633214007715,37.89822337030469,36.67052675688613,34.611090381877894,35.198928035934536,34.214252426677454,35.542001981363185,40.06133298324961,39.62330284503919,39.786211026746216,38.88707644682827,41.975995330292236,43.03555454737689,48.71104557871771,48.14185689220225,46.823886344417424,50.95239965527499,52.00674005675256,54.51902283068328,53.86494031944934,57.74552829521042,56.45747414566448,52.26297287927001,55.97557599887718,57.658770391161326,57.92972712156565,58.169533396020555,53.20694325786745,55.6646253502234,59.478761292448475,56.220768518815035,53.764432929374195,58.47492616299003,59.90607594862329,55.22619172314613,54.60206136547099,51.44082101916638,53.99879295789587,52.97639598296867,48.918280468347994,45.55119702298778,41.62020355940231,39.56735383490434,35.7009529026714,35.76282983912323,37.18552902221829,38.002727886525044,42.567333205810705,40.94762526965077,46.47877122586238,46.720545819043565,47.91071654645424,48.12429745202893,50.447122807404035,48.370321556426546,49.43469579580236,46.2083051584193,48.32643511832286,46.62253384480831,43.866301778092584,45.58736461444051,44.074103575562845,44.14491514773041,44.47692641370145,42.14425492807585,43.64110578910584,39.543262578036995,36.62705536434995,32.66898362930268,31.097865995320483,27.752884119129543,29.990109028220257,27.517887445126178,26.81320971934216,31.929326234224323,31.32239015977068,35.501438161798845,34.35745167009681,39.54707441534477,35.80708183520388,38.41576078701702,39.06676832808754,35.13575738255854,33.61149155715285,29.604187849185394,30.867777565658137,26.792117976238195,29.68644220360452,28.90288013962969,31.239156069115033,33.64336245750152,36.033535041583804,38.57003345544058,35.00400818848159,32.74102088482084,29.579165163909856,30.091680860228053,27.999462134087175,25.225157776387626,29.24097369161604,26.805792362041426,31.06223393137862,33.384561117283326,37.19167794049781,38.59064315115987,42.061708743029115,43.852417154513134,42.765503478966366,40.86650896782237,36.92270034526358,36.65042080294046,35.594374607609,34.80455669181844,36.55373054567623,39.21161601514941,43.2755142557251,40.94347231587213,38.54799712776918,40.70250736874724,37.33433969556654,35.05737048025567,32.32637878711648,31.306172823723294,26.88591137433599,26.770976383008588,22.8555706107883,25.01198394236227,20.419586528220783,22.610753132463145,26.188227821247473,26.866943453285053,29.0296297469593,31.132786220163904,33.05950101966673,35.79238762468157,37.95894047584862,39.140002087384936,42.66808686566041,44.54366631902535,43.885254931188356,45.831555403217145,48.24989874133023,45.543265356728014,42.221988822251134,41.71225700032259,39.494097825783,41.489119455585026,41.46114968308607,40.90359168196805,39.91803279265521,37.53914122989947,41.78664285443516,43.69019682331513,44.323487935391086,45.14292466502339,40.67191320521737,46.0243976184719,49.20001826252792,47.16999475133482,49.841538205203776,48.3977038349507,53.76941224678094,50.6198292719742,54.238026043615854,54.98462991368071,51.1840582348295,50.606926335310604,48.109826836893866,47.89020897757091,47.88433900755821,43.178328890736836,43.10855175528524,40.14882590370941,37.3383423525241,38.514666407932886,35.228185232711496,32.89786587512863,34.50563011651106,34.53170809448085,29.8794951465976,30.115498344936373,32.127052930030956,30.21178293069579,25.88609184264586,27.702329419353827,28.263456483816526,23.85657307481244,23.41003443808833,27.091900822078024,29.232643914393226,31.236472376730546,35.84465399210372,35.270601986204404,36.27823736176724,41.530673805379095,43.16422450901907,46.088430799134116,45.2457014636869,45.33425045424152,47.21870929521238,44.82639723611017,49.82776027302896,49.27167917083438,44.40620229138186,47.36146743856535,51.34600539862888,48.008013126725515,46.3721282315188,50.263976137695565,50.70461498081977,46.50345864948383,46.42015658609235,42.13164146725455,42.77721435195386,44.670125516859436,41.92368057506394,42.370174969124335,42.59994245456941,39.990183728388175,38.275079572263586,37.7783364705395,36.32039038698319,33.18516507389965,32.742870505872176,31.740681392919726,28.672002389310215,27.896115918267917,31.55987966618118,29.45524383190807,25.126708624403385,28.72476641297901,32.06120179433621,33.37553670015883,36.48990036613589,36.8610190027281,41.119905164014945,39.29691517448598,35.556548446691814,40.08452759871524,41.77034294046058,38.98763581407869,39.38702740514865,44.94197657188643,43.928221164879105,39.88296851545133,42.97393006231615,47.225931911006,44.11552014032183,42.8165012145499,38.439375409525624,42.793244530790744,39.77098121561241,37.05446500301895,33.34953314837298,31.895335311646317,27.34886104560452,29.68546356956792,32.186289152172044,36.04383908899448,36.56419608141101,35.98741824040509,32.45725380767436,34.692672198920846,30.889401283851953,27.688304983738114,28.593947062879984,27.930797504341548,25.566542066471257,24.637335552533894,23.52454980112674,21.396632269207693,20.059645058733512,18.96918855405348,19.3879459385521,17.418664419535965,18.32864199758297,19.79252433187303,19.686679021757918],[16.541365774672116,18.084297214102264,20.856719704551914,19.56445479583943,23.05605531256372,16.865010831412746,18.131704881417555,18.084637650552658,15.217320095627064,18.599821986347397,18.33865307659685,18.889331335397106,22.88855908028533,21.392049149521704,24.2367130712728,26.43265142791636,27.74951122006733,31.670242751394397,35.40075064013335,37.8155452228464,41.57637189001351,45.59198019246983,46.503655782699255,47.0994122301477,43.96905555978849,39.9537504789799,37.978896109362054,33.61278409455558,32.44821120980947,30.52687370391128,31.198275807845185,30.381912513587217,31.917965771608134,36.35359711945565,35.76459268919804,35.72770434938905,34.934143441840206,37.81654236026567,38.86738358204798,44.62291382514282,43.94402971871697,42.570037311440515,46.728967104282596,47.75069560758501,50.226684776491176,49.58720050744588,53.47678981725458,52.21060535162005,48.046024379020594,51.82919808192622,53.501134551460154,53.854906737761574,54.084686176017314,49.09659929598007,51.64785616148576,55.36659142109439,52.03321305172992,49.65846250446158,54.39382234642551,55.71439954042323,51.02778573372689,50.48262479353483,47.39033484819737,49.87184547907907,48.77170406070188,44.73944574010061,41.34687129863771,37.451567455510904,35.36099352263178,31.55864801203588,31.60583671383619,33.170724350707516,33.993597859429734,38.49194338608337,36.91353528414989,42.55879490352207,42.68739541513895,44.047687170362174,44.17930143215534,46.43639082670343,44.451305799954525,45.45658039408829,42.405661942466985,44.49715355962236,42.665994358347454,39.88374265549682,41.50239044309481,40.17134836775536,40.089647625746856,40.656617597876746,38.23680994803449,39.86572003904854,35.79432407182529,32.9702722864349,28.852644941350793,27.454015421527448,23.90424805584374,26.349785054315316,23.90987250068387,23.755878167710836,28.458602921449312,28.15318917625376,31.992509624426315,31.078154236802618,36.22806428376882,32.54025898468051,35.454317131954554,36.12993407771704,32.32658344541969,30.7013548654155,26.557014763702682,27.339101021764424,23.064339436210076,25.750802874140184,24.71313834588928,27.036494135695204,29.356966633756592,31.77763867739647,34.26344703761152,30.692224617865214,28.432778878621953,25.264463215879907,25.87323191928258,23.83449083891112,21.180527245602622,25.410892805978268,23.446278375739134,27.602492802407472,30.18069613008344,33.90267542702583,35.50274609618475,39.07032576953202,40.57835191436991,39.43971393418402,37.38760513359087,33.30852265534166,33.29164656214734,31.889869378787104,30.938053428832454,32.52923388894457,35.12354469530213,39.10366241411749,36.69335420530008,34.34693723341435,36.50018594744895,33.138400209064436,30.88455461984579,28.246932033021814,27.429576471989073,23.053631017369174,23.3806890724482,19.513420099230423,22.27457603458512,18.140673610011014,19.786311907865674,23.08856180170206,23.314136608402855,25.633439005109857,27.380128772848035,29.461169133724912,31.934620852623983,33.92879720834169,35.06087085132674,38.617039703884,40.595162354910784,39.951347724538834,42.075997003664234,44.53324949961008,42.00298170437078,38.552967791166154,38.070145005002644,35.67467567607422,37.648484377942665,37.6270004529002,37.05684522439094,36.24499603315293,33.73182131152009,38.190580888252235,39.896631994056115,40.68674762075351,41.36494612861638,37.10584297684223,42.502506052348586,45.6462045137296,43.48315341003608,45.94756421647348,44.35607324377296,49.741800361797566,46.602927285674426,50.29587325480573,51.17618240444166,47.40019294356567,47.023687104702375,44.66541442611033,44.62638819274067,44.865079614419486,40.21415195914902,40.423610836377726,37.718075499821026,34.854010866948535,36.5198863620797,33.236719261501754,30.63324906245373,32.61895116590121,33.03644833890568,28.253234284922893,28.38311308332311,30.90522630658166,29.32366425232167,24.762099951708414,26.86512232552356,27.921197645993708,23.470341130855257,22.880528608622576,27.04546576394386,28.737042638527093,31.33559197649753,35.31992085557817,34.593101799095095,35.9852735030287,41.1277556285069,43.23892582813399,45.78999545582032,44.785852815317284,44.50261713166073,46.214748968637664,43.49400697137728,48.43385248529039,48.06478430944345,42.882144692032675,45.626228262545844,49.703374091098496,46.34436044410578,44.416770129525304,48.143641295287956,48.791908922624955,44.60554549470605,44.00502133662602,40.00515299131261,40.4250911646959,42.57256498996804,40.18458669601935,40.582486731349874,41.21417825003935,38.242292080531186,36.440225337975065,36.5592634957777,35.04590945800136,31.519104429532216,31.436801311137124,30.915807664217517,27.853973920226927,27.002644619202236,31.13186157848951,29.38763442958517,25.061383981506754,28.6834642901287,32.23717399626569,33.190889370217405,36.0882939483168,35.975657876036905,40.32278865472365,38.85996431341268,34.689299447450836,38.95416840238026,40.933069634398784,38.17001855466047,38.02953936689234,43.7723553509476,43.03953241392776,38.670959220119485,41.41132592534173,45.981203419571926,42.996392781802705,41.34514039053722,37.02588920135451,41.601995190122146,38.7342379229734,36.392692919116406,32.27070838041594,30.68260873353911,25.975428091583257,28.22354882508887,30.459393035341634,34.31571308090706,34.529022300392256,34.06536453070591,30.06029524697997,32.13189189671532,27.979919062461953,25.28363246433173,26.22068439603816,26.049160270006418,23.287087442467303,22.130081984995297,21.81085818684747,19.82989808601904,17.48655331187421,17.02453257164428,18.39300522817827,17.071936379527926,18.296739191651234,19.81106648654753,19.74965410261941],[20.204157491425924,21.4185034273965,23.938553842916626,21.730924319938246,25.027080369504908,19.02441703139589,19.478736124281777,19.531856093470264,15.747002211181307,18.14125047383834,17.313086372316047,18.426619478504286,22.25694429157096,19.987467730433565,22.5972669364873,25.21994256607413,26.481123790478783,30.01259606311167,33.446440871591065,36.24215600497159,39.751271814392894,43.95290479295657,44.62535162474879,45.35444890287902,42.47237423375085,38.30311859023734,36.75037150964812,32.43591843874926,31.301709280536166,29.716862694091787,29.577254197362453,29.579230935676538,30.86463355406887,35.024501294723734,34.73454671913279,34.52687861527702,34.34200760630047,36.94980752265956,38.20168207797842,44.20368616640785,43.228018651281715,41.37115964011008,45.5978116340709,46.67006078676629,48.93182127119816,48.41310360243108,52.34057204121607,51.220937078500945,47.27390555734045,51.33638157976948,52.91427677839431,53.52659602547603,53.602471653799775,48.57826769831256,51.125190243769154,54.57390718096847,51.03043320241797,48.65074442854326,53.338631922840605,54.458507428338955,49.56030761413539,48.79926516575855,45.648682586654225,47.79731531972778,46.91086228819679,43.08188380229412,39.22563597936632,35.452996958129845,32.98454665827527,29.136142101323536,28.944201857849816,30.097892875254434,31.203035102140905,35.82171994514575,34.64566355823963,40.26155667482829,40.84421759331457,42.31397097291875,42.77572398179357,45.23795180088213,43.71678531372508,44.96714791614592,42.320027213373876,44.61248987743744,42.62866261852781,39.58514907927609,40.68820143832919,39.512922750389365,38.825598922824234,39.322259092470325,36.5049946556583,37.742047885451164,33.71187564598577,31.165857549406205,27.162888932464817,25.407720406377692,21.964839660435732,25.27144249177462,23.378660390510618,24.047462526365564,28.449139528855405,29.094941984626153,32.460075468025344,32.2827272595173,37.48664663087268,34.06783126386563,37.38137661049389,38.16382172218758,34.57631481271603,32.803173727565,28.590929740450797,28.61721719474615,24.05656004240931,26.18920707197676,24.324387199863445,26.436911432482013,28.274660973036738,30.577914315116118,32.414710326446986,28.934022991403104,26.596360947929526,23.74281788510466,24.719634098491195,23.256243977315457,21.25810679894467,25.9716838382682,25.045792647997672,28.971758920884902,31.924670551950975,35.486498348730414,37.32008913544575,41.01475226370438,42.100277946787614,40.90117039002829,38.60229935630427,34.31157166559331,34.582813277962536,32.53739380934728,31.079988788534706,32.41428596155845,34.43820965152558,38.23978532154778,35.681520665020244,33.688051084770954,35.879419794003105,32.51536109129292,30.45820012915945,28.119670439308067,27.889321087542612,23.677508351002885,24.779290730769446,20.819988293085,24.052374349149392,20.096846835616045,20.76258884790994,24.00291254635386,23.796822976837294,26.655638001815202,27.67064291387006,30.382960056005963,32.435680727538184,33.84038369360987,34.93917943919719,38.51916753143373,40.799298611860635,40.05925175773481,42.63536452496804,45.01952513643548,42.81947511170598,39.13709030041921,38.85531665173827,36.165182245000835,38.159666803247205,38.12428347527437,37.418396294984866,36.84375294530303,33.890719302429886,38.60521193117263,40.159709147243845,41.31889344233605,41.90817929703813,38.118336742635805,43.58659468389931,46.66698809981646,44.274248336304694,46.24041954178966,44.24817405126843,49.65532062769244,46.521192358953115,50.42608282182596,51.599696655646916,47.93421881054339,47.93725321691921,45.83721140567181,46.10043116585646,46.66773743685875,42.09493180108697,42.67897486632943,40.23577036502311,37.41218589328007,39.52102427463804,36.29383592916144,33.46265824133902,35.68516844394886,36.4479849566804,31.623588747557484,31.498430905128277,34.410921819955064,33.138825863512196,28.398066498479853,30.525899407287547,31.884126608726955,27.49037959340914,26.623546371645773,30.90278868570162,32.34987045093052,35.343873635778706,38.86483002648017,38.25635701514623,39.89642606550697,45.005908063610434,47.30881860877858,49.74122489602156,48.73252794111678,48.26636635113795,49.88859527298208,46.972914639712215,51.84830451212616,51.5875691193972,46.20060960029631,48.79520316153559,52.898993399735126,49.493622216356314,47.36194294486963,50.92449239226679,51.66447966602531,47.479236861057856,46.4664444213263,42.791878280257095,43.0823023716015,45.460512906552914,43.389483542882644,43.71852981922556,44.60371800854001,41.34878346255181,39.573932469248554,40.11799322850819,38.493023257751794,34.77868961714813,35.003242267081056,34.718534567821735,31.663845629457818,30.85041282058255,35.163831251714086,33.54206861767983,29.258913783774346,32.87418341311114,36.487197211364375,37.303815190591585,40.11334960407307,39.76644937319821,44.138654637968685,42.83943848016219,38.452512136439225,42.56142948753883,44.65674117318743,41.86828985697174,41.40747365177523,47.24857280672096,46.580851361767685,41.97880999181261,44.519266151193506,49.246907128575835,46.20567469664024,44.297679008241595,39.99582172446346,44.532602947150465,41.625505052110384,39.62412498114024,35.24635140897192,33.868151426819644,29.093570087615102,30.918965514844608,33.092290767251335,36.877484151088744,37.015217323498796,36.87707618154781,32.549537796162056,34.566367489210734,30.067147254389376,27.995237890752527,29.0232360312855,29.270086504273273,26.14512118321204,24.87794404316855,25.2300795802903,23.35691157123968,20.27750143574746,20.324651412981375,22.279621085638244,21.22008439525208,22.526798427033036,23.986297197081868,23.765284508973018],[22.426829289557688,23.175800470571733,25.396405967101092,22.20426331606501,25.366751969404202,19.94587622877207,19.78071308447639,20.3770020719062,16.01551802041704,17.273591020587258,16.379633094544666,18.42364755137701,21.41844212559129,18.28240372332302,21.09320074626375,24.03662177802969,24.76094786796338,27.99455322687175,30.887548054881005,34.096042373507075,37.305380437913456,41.67075927515204,42.00206312928894,42.68727793428654,40.027214235848064,35.74101082110703,34.608479956441904,30.415650134920234,29.634192873355875,28.631626301113698,28.140083583276784,28.973364525469,30.366871452788132,34.144332112294194,33.83724298971701,33.17850627304054,33.519787634909974,35.4843135715593,36.714037697952435,42.90702737284981,41.462564002512465,39.38326056668198,43.71150124654214,44.62096149048595,46.57538574358354,46.005492257235275,49.954445574389766,49.12911786658085,45.296001175945015,49.5452961823914,51.22650738528752,52.11128900085093,52.20335566138779,47.14107368274942,49.937801365970714,53.04505876244815,49.25178388915178,47.116848806003055,51.79761283755154,52.53876797625126,47.548709329641476,46.83531566426726,43.801854320833606,45.505087693624056,44.622184614644354,41.04849835716725,36.7581726741839,33.24224987280205,30.262945890308707,26.607767395886743,25.998560405369727,26.891109020701958,28.497704847044655,33.07630449288157,32.476188829230715,38.20411289254975,38.99454836265237,40.81510754126814,41.38380930730809,43.83600157026608,42.73812729907455,43.95089795254478,41.80100104397776,44.02394638414954,41.74757680849132,38.686718620420926,39.37953183181867,38.65729390012228,37.3754508866801,38.21251641027524,35.01252125430095,36.09530971846756,32.19754767048458,30.064388311524056,26.03087528237013,24.25670308436634,20.730114006797738,24.900963742398428,23.46463379569171,25.141103975904464,28.777378487206942,30.08691374800162,32.7731287916284,33.03540116098082,38.00091947938605,34.66839258661229,38.31254628096218,38.94980274963261,35.51297898284328,33.84699630713409,29.46828834225166,28.812007963360763,24.09006518383191,25.486309627726694,23.032954420473178,24.669280221474274,26.193031395369594,28.126586681144886,29.591744444648146,26.460968100863727,23.892611049520507,21.366366276654333,22.310959884499034,21.441340931106946,20.16026677560152,25.125458471448376,25.291355750542614,28.949607009114025,32.238975082685094,35.76947021234994,37.55411049262554,41.45053481912352,42.07063721368024,41.050526690300785,38.3072121264382,33.85688460279218,34.15425413953811,31.544663295371503,29.583451071836247,30.816586928728725,32.17325533888108,35.891763015436375,33.406092700641814,31.77026811336567,34.133546560220296,31.01629848364854,29.029227921069293,27.22186013022931,27.57045289547536,23.69485215189882,25.611035816408467,22.017672581802962,25.87901414071438,22.591621904284068,22.505060635785092,25.275546573965986,24.37178766403674,27.429632451642856,27.691079444603684,30.60189804668078,31.923545168528005,32.92551292605598,33.61455039103382,37.34868726716509,39.63531620274354,38.578847037825,41.56070298677405,43.72243551932537,41.79920979931209,37.94439576622547,37.96462356921292,35.12262358106877,37.34440246938114,37.49910401031246,36.89215287376128,36.751683761992425,33.580441966045306,38.62187571976368,39.7417084087469,41.20216297545534,41.39052920698187,38.08546361589281,43.450860794161414,46.359589139319326,43.70413103498451,45.297772939627876,42.9828136146827,48.30106400603187,44.98554851606011,49.06129063955079,50.43153242207866,46.94861223951408,47.205958504316754,45.34160729516342,45.903565530279195,46.73460767514903,42.22842396739439,43.23638863011311,41.0170755294392,38.41688209658215,40.95276515481828,37.96509623211391,34.819516755457606,37.096550318291314,38.35017614342806,33.545289801517654,32.89475146834618,36.27185125040527,35.571502717795205,30.505055040081025,32.557726534494826,34.35873592989013,30.13241569653389,28.798138115092286,33.187321408727165,34.25101239088394,37.82547522981566,40.59847368676472,40.19552192178078,42.208159305903266,47.26099025330397,49.86672406187732,52.12716791153853,51.235695981736015,50.545868612726416,52.150407654256675,49.080171914115525,53.81601328195215,53.546254610399025,47.908891953846684,50.418416557336926,54.42425671224364,50.88617023589176,48.58576047022389,51.96454230922275,52.657895680346066,48.46267858155685,47.10318820060532,43.81669909027394,44.198704769339805,46.851575006153574,45.19322763795382,45.647968535397965,46.94226431436036,43.4851263272843,41.50665086480467,42.57591588185183,41.07597808326234,37.05123919610049,37.39603707625342,37.57649936622845,34.61347633723623,33.56394640885075,38.113258529859024,36.80652923498572,32.490404824614586,35.884164955386225,39.63094842855783,40.132196543633746,42.895653699157,42.27781470583459,46.61671645693765,45.420257134337135,40.70570343028741,44.643860463809844,46.77459059621248,43.90951251697844,43.06342599581758,48.98948599258104,48.314120630614376,43.42318744448502,45.744940656043546,50.598550440564054,47.44764171515741,45.24043412094594,40.98460751651097,45.40810648860993,42.47725216602252,40.930258468358865,36.27238177403354,35.192342600846246,30.41172993700863,31.67714788305915,33.756352230133096,37.40182911733964,37.49917092449497,37.805823599883716,33.25082175412665,35.32723561544757,30.56103256035484,29.17570396207403,30.599185397740154,31.363630846559875,28.151671046067293,26.43126806328677,27.38688333212131,25.962330359191903,22.146618904960956,22.312977285986854,24.97976258279373,24.42962283795029,25.972670034650548,27.40897040009677,27.199370224381216],[28.031281539027827,28.827743344407065,30.645663508640986,27.900501579264027,30.201162665294333,24.328723005775192,23.435393642059736,22.810151874843957,18.268973800233105,19.01075399865124,16.747413021840853,17.899728942487023,21.73505002440448,18.878920167475293,19.955349884424695,23.052158619821093,24.868172151394724,27.340958842735567,30.557570315301984,33.63777885077158,36.728366222079856,41.03892588936439,41.575667608712806,42.79446740922411,40.37399723586955,36.13154617729828,35.21067542159876,31.117412465950867,29.527459126237552,28.151695064189397,26.13300983642577,27.344496301670336,27.684581117703175,31.297639009731324,31.882317599476654,31.843507372068313,32.669075746524356,35.313511793504226,37.15935093898888,43.305343236702775,42.295550068353336,39.3979991408461,43.48107499772778,44.972556574258206,47.07720692411788,47.0834208235933,50.9666445204837,49.748142612595785,46.41819312576979,50.88564345664716,51.9000522155324,52.806856570618564,52.36659064065532,47.45636012431902,49.48356719399544,52.59204838832896,48.938756455218744,46.20600990325021,50.63159899262699,51.75448289043194,46.51142577541119,45.06425128636382,41.66131066303156,43.49224679086784,43.24262148630875,39.717494678455814,35.3585147773219,31.698479662163265,29.088231007628348,25.00775101993532,24.81663820445021,25.094183793817592,26.115667427244112,30.93615374497507,30.069540135677766,35.208507285093845,36.73904312736979,37.965251223325545,39.17692482667631,42.14757373609382,41.389974328097914,43.35969416940005,41.24935724065611,44.14513985353003,42.26092690074063,38.59740538380246,38.76105115435447,37.40770710300892,35.87785596333023,35.66895380430911,32.389193712197965,32.697154281380236,28.786266593837166,26.632841027521817,23.297445422495652,20.699703959868106,18.087577346922632,22.37156563655754,21.68013816957376,23.308865665503912,27.317980875487144,29.648853235058276,32.337019257805125,33.62526349297745,39.01769437154602,36.46040775970385,40.25888149122009,41.58355349968517,38.60085703929766,36.27637133417433,32.442432020076254,31.361010702018,26.71280004537771,28.22267318528,25.044306177121964,27.13837236223161,27.76615627292174,30.244342297120557,30.48177622704709,26.86639314715419,24.96746402290731,22.881609843073385,25.118840840200104,24.587095914934764,23.6442203147013,28.754099984549036,29.103849106705958,32.405107783713554,35.67607075565051,38.52915020410792,41.154139571473465,44.68134769634843,45.21924637889007,43.511959293495764,41.39019951087183,36.97895026449591,38.21657565387733,35.307541634350386,33.345466397863476,33.84389932652477,35.2407071523727,38.32162771593856,35.21884974212519,33.808280571639955,35.613396090355295,32.00383560450742,30.627179133430502,28.492814860914997,29.093402969730743,25.31054836342476,27.21430215958005,23.00433237765738,26.246518615093613,22.51555206929474,21.51430356148593,24.6604092363047,24.19774811844145,27.932479387437184,27.864640103136242,31.856432394880375,33.70311093931999,33.8706314320664,35.55312226368939,38.685238041688365,41.82746937748466,41.494559607248036,44.62462527478766,47.173228408576655,45.64461019198059,41.70521131672245,41.440703901060665,38.2011871129976,39.65374790444609,39.207243141006956,37.93962627299561,37.40475602051817,33.67926371669582,38.36683902183868,40.0564798406893,41.785779292933555,42.746162539482896,39.76689181732545,45.383944753612205,48.4582091828481,45.909700662678084,46.87828181747686,44.27968712906062,49.72194658351519,47.1022409333185,51.22375755132397,52.9605034979635,49.40657832455603,50.192748175751966,48.57534921934405,49.24893489433298,50.40243698388967,46.1585744627821,47.136278218924375,45.27639755002823,42.212684666204304,44.933303683580625,41.5330216927706,38.67524062212605,41.56769351526539,42.50722138075077,37.68219391730986,37.88528715538541,41.085877366217154,39.750580291644,35.28659187098425,37.71787282706292,39.221044477699635,34.79242085637985,34.16575284056072,38.63700571543025,39.86788296001893,42.992819916932966,46.28336710340858,45.44648361874001,47.20973660099115,52.13578074493428,54.66557038704017,56.788139312213914,55.41499271411226,54.63248050716518,55.881277138909354,52.57242182385579,57.3812290051967,57.58478584414318,52.036246515586825,54.159834746344984,58.50105106662507,55.30707962225531,52.78761118172613,56.03231366801801,57.27557689445123,53.24357521296357,51.409933049053144,48.20833302800003,47.772843161815686,50.34444718345772,48.655811313112736,48.51131826588467,49.546954016696205,45.78509640573304,44.4750968134076,45.53661933163806,43.41503122227444,39.69736199331486,40.701744262563615,40.46767421059305,37.39558802947007,37.10047239505485,41.55522991337282,39.9361488479267,35.97241933338446,39.87713883407898,43.42506872104351,44.2375347460994,46.68151857211358,45.92599936146547,50.37014509064407,49.594801271919806,45.10593632738504,48.82560333768847,51.322537966682134,48.7159129094396,47.789119561472155,53.69483404129062,53.46478507771512,48.70824493493713,50.79515248975669,55.82085203583115,53.047579469368394,50.831081121626106,46.68289689420238,51.38357903866038,48.65995910952645,46.992008746586336,42.3636346403317,40.85979841004861,36.07741101892767,37.79602575841712,39.64101819356356,43.31872770196993,43.0660876171595,42.98007763281829,38.12644292313975,39.620429899628675,34.77210304116786,33.534144264628594,33.97396491069044,34.60384927441346,30.74454681937466,30.013798278992702,31.33190317350169,29.132452931150823,25.452631374784325,26.817812481866774,29.11845146924471,28.155910690561264,29.358388134045573,30.69783198971596,30.200267346160718],[27.71856154792348,28.25230976997117,30.17510400047339,26.489206723248014,29.213386472268816,24.159341778740618,23.268048164718774,23.763784088437614,19.004472617512498,19.02263118681996,17.468771702070846,19.8870555495391,22.407963287745627,18.59532686095043,20.685377135160508,23.98563082328841,24.64116339228098,27.093522933681392,29.44925026044195,33.06732286331963,35.82464810556343,40.33159111290655,40.34664728164347,41.23913648430509,38.98890372291551,34.61527302335864,34.10266599858537,30.149064950649386,29.38555702896715,28.84614210446482,27.219839503097944,29.115069694906946,30.072324807668128,33.318698971104915,33.45332003832601,32.63017971137242,33.76112825984056,35.35683161823207,36.845266048290696,43.16823765690154,41.43222208813678,38.72704436778353,43.020375533162465,44.020422490968464,45.67658155440877,45.321885446521904,49.24319141345016,48.580882835004914,45.135711847438316,49.66868264070526,51.14576674851398,52.32975622120186,52.19058573638101,47.18577509751485,49.8652653899332,52.59170563503782,48.60973889869013,46.46329422570757,50.98561645783689,51.490150789636914,46.29054293642495,45.25951945128717,42.18567894727717,43.41462856131045,42.874608430794524,39.65289845260062,34.826221363885644,31.58456460668293,28.17449759706859,24.587313321490914,23.63896879144837,23.782723419152852,25.776857418548353,30.40044480933106,30.414856067002596,35.909967515150065,37.34682704729583,39.24325309989993,40.267084443121384,42.95705493857614,42.49078895859752,44.02686584871704,42.41358260585374,44.86965597555137,42.50001143304188,39.164082800227526,39.16810114976633,38.61926329806565,36.58991599550916,37.256118535337535,33.62000862192595,34.09257653186082,30.387319006954982,28.745743280755583,25.115370950451894,22.926517968853943,19.87554875990323,24.907883725060543,24.293982733448406,26.772894264517163,29.886331408014826,32.21635508794087,34.29921893599885,35.40199494034018,40.31553578021915,37.41685925557606,41.37459532459011,42.17367688352529,39.063637402545886,37.228874840861614,32.9773196207583,31.598421314718507,26.843753785504475,27.604651109783173,24.311272782050395,25.614598218509208,26.33976014930072,28.058824948659854,28.446469611398832,25.56350576444898,23.083189868357398,21.24661779183539,22.74163432400844,22.72528888032697,22.36128960728672,27.492562008593733,28.683545443584137,31.919871882536473,35.447918855934425,38.64485045221303,40.70891988606623,44.60467597465405,44.7795245072946,43.644440841435724,40.778286045682876,36.2415043427334,36.93459525624511,33.70959915220298,31.27327484387264,32.072042091482004,32.687136965657565,35.98106399711075,33.3300113876564,32.22735449750515,34.4955315083164,31.456919249170788,29.856396612403074,28.471345288591465,29.478380468431418,26.00922363696384,28.559469072993654,25.028740558653247,29.032391402056682,26.0096137601456,25.038654982098343,27.59919681431859,26.351278943009184,29.831549891723604,29.297658767649295,32.83153522931487,33.704546455626925,33.92716587204489,34.64074261879024,38.221768938285,40.87490729300556,39.812555535394836,43.24540592634368,45.320952768437294,43.85128395326054,39.82891907836863,40.03442923804487,36.91058070334911,39.00537121078617,39.081018513173646,38.28016333959768,38.37195794803511,34.77346209626703,39.910924666357275,40.875036668858584,42.732852790886454,42.88733081429232,40.20532743634243,45.54605518833672,48.3473700828064,45.50519637931275,46.44790984292209,43.691751908654496,48.93778954099452,45.761361276786296,50.00980870830498,51.732773371855174,48.42652864393966,49.155344744556636,47.63104801136675,48.51330273526499,49.70551987422654,45.38730640600548,46.74069544033066,44.85093598259639,42.27466525517765,45.19279338048647,42.2435807212275,38.98990243242516,41.511067891503245,42.99901282303923,38.21838958259195,37.49161609974108,41.11069470574752,40.57567551294586,35.512700290656674,37.61386765544463,39.58294820633269,35.399989359783156,33.99385589609396,38.43272135510356,39.321364144930214,43.109553324625566,45.55430270046572,45.188456001392076,47.35912715363751,52.33766772593145,55.0960082675625,57.218897750729184,56.262025753592845,55.3985999925089,56.86965984602423,53.611724523007844,58.26589499554225,58.1559414774802,52.3810809711817,54.68356792483301,58.72447016596705,55.213784467734015,52.71491432231032,55.88801416583548,56.73225536922905,52.59986791137457,50.801826283170804,47.876052508690904,48.03207178441795,50.85898694665961,49.50515451086384,49.823535482144656,51.30636779270226,47.59332621878739,45.735526789820746,47.161921206888834,45.50866151086274,41.40363396207265,42.07430225620645,42.39165387870319,39.441786026247975,38.523969476678346,43.173683406222914,41.92765511723508,37.70405430694853,41.14828690206712,44.90379660266317,45.33479734816109,47.973297452553,47.14555425091815,51.493722446846355,50.49849590494732,45.658158014550594,49.40611250318524,51.67200470819974,48.83945529405601,47.70974989955837,53.67158654634291,53.12141612042861,48.08217279856491,50.165923034531566,55.144841158595874,52.02462445539636,49.60151459561318,45.432018048269725,49.805339937331766,46.911987989186784,45.671329316610695,40.860712243273454,39.90850442629593,35.159947289990875,36.12316478234868,38.061714172758116,41.573114959473344,41.545941839507776,42.08297382247867,37.294272064465964,39.19664785430888,34.23343767118989,33.43993503597524,34.774746312908135,35.83875033954087,32.33406563669493,30.69896976741358,32.17089703476252,30.741200909196618,26.551366539118042,27.214265631948983,30.13845320281688,29.689128419243083,31.228510203398184,32.60924508261342,32.27376940066464],[32.23396643178265,32.81527956874723,34.6642241278921,30.982504432521942,33.4515652108793,28.379418489599225,27.17408867892979,27.31968194542252,22.475095767382765,22.0235710577634,19.912032668824544,22.103780931542207,24.648757532013327,20.76894562762152,21.921912117914587,25.337679609797114,26.28919354618875,28.053253272141227,30.16006572041465,33.90751711680729,36.33052545007605,40.84783829637597,40.73877750179292,41.904489998563086,39.98605540534312,35.6326620714565,35.52618093795266,31.786386748479167,30.803864129385868,30.37582451524172,27.715830729732932,30.22453518462949,30.582988846216608,33.44711377989824,34.127459976495416,33.44808320945051,35.10459321643687,36.7221035927261,38.50679556488228,44.816097218589604,43.080078088325365,39.83826361343331,43.995269702376426,45.20907074636854,46.73086321568748,46.658219016944315,50.51349493923168,49.83679651275326,46.765377313854835,51.47088305730597,52.645519969317476,53.97996749120698,53.566210511071816,48.67053240820035,51.034097115837525,53.54900298154947,49.5387067299337,47.213088411255,51.5338742478722,52.02950451242045,46.6695594785452,45.222302197229546,42.02569244836168,43.0018989031588,42.887832177058115,39.92119429026841,34.813293793159325,31.739412120678004,28.251147044730498,24.652139786801467,23.651033343626345,23.055597554719235,25.076024689372197,29.723316129559333,30.04556699189884,35.097510443032355,37.1801082594139,38.88383889339143,40.384391115430184,43.35679391622177,43.335404127837435,45.268134012838324,43.92957793177582,46.68795412137291,44.4170183909625,40.798532716378155,40.30558085841446,39.638184067975956,37.174052967179904,37.37277970731266,33.51833303775432,33.333511285913694,29.799384656030846,28.467502248803054,25.406436085339443,22.74539940757273,20.406617645576368,25.732346213011084,25.744474356045863,28.43417783077472,31.444482069601484,34.452725484657755,36.30517988264144,38.02671423672757,43.024459900841855,40.523952884412594,44.60655675424804,45.65286400304691,42.77309325632451,40.71202135276314,36.66404416286197,34.970327451964174,30.2645200592211,30.846106265275544,27.1066505045454,28.37294959521737,28.495029166941244,30.218508593190354,29.701093471966953,26.88534603915965,24.711542117310515,23.397374821061394,25.428334778660126,25.84495962467283,25.888082079987605,31.041523867301567,32.575898245993756,35.58625296761151,39.16456281545577,42.06300309972406,44.430348687351625,48.21811808910827,48.21898422031002,46.86214579364396,44.13280615101756,39.600642339444434,40.6574317040009,37.16158521049708,34.561916698774944,35.00145162005306,35.28213383919144,38.17289693176069,35.318112497374116,34.549429509366504,36.59300702625444,33.493240358889516,32.26037222983727,30.977293499196993,32.289747105119545,29.024959377051875,31.728351731548212,28.05748249109551,31.849580976065532,28.74102520381615,27.28785204036037,29.889230828268,28.706588270181477,32.49079005309804,31.59419797790802,35.63950405245026,36.498348302912554,36.16489924752864,37.16274109028297,40.47239580827558,43.50044590536956,42.62937258511473,46.27032378370031,48.38849023636542,47.210701789034076,43.12399920086745,43.33753819501042,40.02591853795617,41.853969847902626,41.73037970149494,40.664820713772585,40.7276188977527,36.82078700577887,41.83241239472334,42.90818519790539,44.9986883945713,45.37248722447947,43.04693445406828,48.42178023262319,51.21443019263569,48.34089738636217,48.82722010909237,45.810076243917365,51.02043164039753,48.11824247212359,52.43499154598463,54.40657335819043,51.17827665798492,52.24076750613261,50.922769597295535,51.9529352615765,53.354626503153085,49.17710488659795,50.63197240746929,48.92984994965235,46.249097784551125,49.30680681130567,46.25752413515538,43.059292245736835,45.78424843080749,47.237734659141815,42.45250338413362,41.912659177682926,45.53167386404058,44.85568188315627,39.931362279611484,42.11579634632092,44.02254179590172,39.77976521563865,38.51602182991779,42.96017882610015,43.89373366082934,47.59985624149277,50.14036770701747,49.714251497433935,51.842943566139525,56.80080507023602,59.53720880377248,61.63821130617646,60.55884202677446,59.654219336008715,61.00940783446465,57.65221891525597,62.311123797432195,62.361745072896404,56.58147528531142,58.736830469038615,62.87273768637268,59.453871974995536,56.85388142512437,59.935504823522095,60.95188752244535,56.87484106482117,54.84584994975205,52.04545678527224,51.93484765709216,54.7836969624772,53.49428132896924,53.60825833027477,55.045699454715546,51.1892364029746,49.56497351005381,51.05045222592772,49.17381445216521,45.15925466830539,46.079236016651336,46.276304024377396,43.287669266870545,42.61600397550263,47.24156448517506,45.88212210885594,41.75553584047469,45.3643033075129,49.06402922443666,49.59905476201394,52.15343816749623,51.274947955928596,55.657621149350405,54.79146464212022,49.99797463189303,53.67180653120788,56.04776537314999,53.275500875538924,52.087580629687636,58.05262259040658,57.61560495690728,52.576083666575315,54.56747230648879,59.60676715764822,56.55573273332131,54.08556237252792,49.95071850250991,54.34542694566769,51.47555005173699,50.271632493662324,45.44728527963485,44.46906347010078,39.721687398163645,40.691923500795006,42.57881047613217,46.06034748605895,45.952760854483145,46.47758503158186,41.575471340873506,43.301325293277785,38.276205647227904,37.65732703848711,38.720338027616066,39.79721182295857,36.0548557512146,34.72179178870202,36.36142840233161,34.70461425126838,30.518287980512163,31.546481306215604,34.382524616497065,33.78375275950426,35.21377587045653,36.56430586113249,36.105281171618586],[33.47980051273258,34.54480212628025,36.85338388504432,33.66756449178209,36.51723334232823,31.021543048907386,30.245799456188355,30.080457800804446,25.40776084660259,25.629676396938283,23.39065872670231,24.972540228732164,28.262939537235372,24.787791290518317,25.663663187626696,28.99052616970485,30.43251937862117,32.25584131886482,34.65566040000836,38.24051525597244,40.751407322833806,45.209393263121214,45.242980545070836,46.524841368528385,44.587589355533794,40.264615582136926,40.03790192184797,36.22595137153851,34.9584192063399,34.14831899130256,31.302108793812984,33.453244342540444,33.41991013868902,36.4684441781874,37.47138942977216,37.20935426746446,38.7055512847135,40.82164079853284,42.731110868829305,48.98403538113223,47.51369165410828,44.22364808455261,48.307129863301775,49.69474654765066,51.344208840196146,51.363581989448654,55.21259330683806,54.39250444392708,51.33589185285209,56.01297094722305,57.068305955392475,58.29145236447836,57.780283110991604,52.90992823155966,55.009088945288724,57.6876616221986,53.803854220624245,51.226899761107745,55.48815125930214,56.23654237589274,50.83855408034947,49.1490833024951,45.78196972253933,46.94435290111767,47.04635176435272,44.01165433119441,39.02833954687502,35.8296580077528,32.610624029380595,28.84060585390315,28.079276202288582,27.34803437461077,29.06301571418811,33.77670062937948,33.840538684236755,38.5918635842008,40.89939025607348,42.222099585973424,43.924726927343464,47.080076577309526,46.948239991261204,49.10294190720356,47.487832951721245,50.439991694169166,48.3844922953093,44.647255421464436,44.25959557902223,43.19314512217619,40.961401734105216,40.64548998206766,36.946518273116155,36.497286407926104,32.9096222156024,31.358796119134677,28.574651115014767,25.59682758004733,23.60498237086012,28.486690274922154,28.399911508624427,30.378229923639793,34.11220199987413,36.92661505610509,39.288736306221566,40.909676670251294,46.1889132341009,43.68111460816918,47.58848902572397,48.779613164061985,45.76354987889673,43.59529411871707,39.61399269553104,38.34244434350733,33.633702123730764,34.669494582843264,31.160596208735626,32.70696681659997,32.97541609651944,34.890876893266544,34.443381903934096,31.43167417259135,29.374136957287796,27.90107561472894,29.96525960795146,30.096856637427276,29.740250676520294,34.90560718073994,35.82258413228546,39.0875960990134,42.51718158222126,45.49053054044563,47.895193007265405,51.60792586734234,51.90871301228858,50.42382767561116,47.93992689494906,43.4401990243064,44.43150801192077,41.21585509180362,38.81655579781129,39.36650583169942,39.92017122650064,42.89062623991032,39.97822215590666,39.06355007934779,41.029809851774736,37.734162051520435,36.49102623774317,34.87346397877941,35.88685389864602,32.34113154495083,34.56989454706847,30.498630610048973,33.80033925106909,29.99769066826976,28.928798674394205,32.04282735638604,31.434320840744014,35.26366050841911,34.81378989010598,38.93447686821158,40.30317010197929,40.12657011148623,41.42951683172512,44.65977237474217,47.76751538960668,47.04212858973061,50.523492587047095,52.746695656990575,51.39610698487688,47.35789134052311,47.447877077566794,44.192689359412526,45.926083662061274,45.665416219384554,44.46999510118674,44.21886034162579,40.31788666533494,45.106367997247226,46.56867358052932,48.53565198832288,49.25211423431138,46.64049989081367,52.14972523965086,55.07839064550741,52.33828547688207,52.98816564194942,50.08588337003787,55.38414422853221,52.58981881877156,56.86267524082912,58.765089720879004,55.42681456323211,56.36887721575274,54.90723153863932,55.77067032318392,57.0054286469527,52.7287671073958,53.921111455605526,52.00744444151172,49.19156012883193,51.92935692629599,48.70064512611339,45.7007431339205,48.324054590329865,49.42500712207935,44.59339340593125,44.31258201031042,47.60333441518433,46.52081717543217,41.74540108998158,43.88123223591002,45.431692423571846,41.06543345750424,40.00359029956361,44.26825884517242,45.56541567360464,48.83958974855366,51.982160284629096,51.56961205330413,53.39860968965968,58.48646394371481,60.87662431564236,63.25746834519905,62.182569376610715,61.53879522628622,62.971358445895945,59.777653987873144,64.57726180871848,64.58052458262436,58.994036869423816,61.28044613501682,65.47922345269598,62.103369801790606,59.66216100888643,62.919724820526724,63.89217499120069,59.766927875380375,58.064327089683864,54.948977549114375,54.85684547778095,57.516254145292216,55.87776696632725,55.90253310434923,56.96927997339965,53.27548449676406,51.83396661358,52.84330913411552,50.833766965802866,47.101734401311546,47.9008886349082,47.64990181091581,44.560899572490484,44.086604181380814,48.471278904582036,46.76672855811334,42.637783925726595,46.41351301379386,49.98077428853641,50.84536213244953,53.52731087089357,52.965485452747615,57.380208855757225,56.31950403290695,51.81584927307925,55.71843923430674,57.98640135668602,55.20849987141023,54.40702160564366,60.326358210579656,59.75354583949742,54.91408761672869,57.183927555331174,62.08398459469836,58.961720201173236,56.73949560017002,52.49333545540098,56.858574134139566,53.85309265028012,52.29967043393815,47.69888456561627,46.69774880389806,41.91579180598999,43.11047313969149,45.22384672902698,48.826377872054124,48.89919376910781,49.23562403721613,44.52391534857791,46.33220386267293,41.43117850316471,40.30555733246838,41.17868684218729,41.85286967573429,38.14896837402275,37.13083793054197,38.27479004751505,36.27169972294625,32.63414776423344,33.45878212826285,35.7435070610637,34.64524401693074,35.84877826925206,37.20544666779544,36.64236769261902],[29.43351766517524,30.60076914961374,33.178258322860486,30.007815144062544,33.29847174116463,27.88330009983207,27.553208856181108,27.79268688957144,23.25219760279529,23.952527334816406,22.255000465834065,24.05191670587511,27.299746504145297,23.83280110559436,25.548316065273898,28.808394479916405,29.915982997308163,32.30463306329117,34.803343664059106,38.36509108884551,41.10974068383355,45.59665340289867,45.65514680675598,46.66335502520248,44.4778150038497,40.11496208721876,39.60952210308392,35.6364139199295,34.64594371583785,33.81271329148437,31.85162735064079,33.5451708976839,34.057104041245644,37.426847337812966,37.9423851084532,37.49528126160155,38.569388743092794,40.5791696597547,42.1951610716468,48.47986457815885,46.92245366037862,44.11849487894452,48.350363762013316,49.49041509038993,51.189421504164244,50.90813438786182,54.818718355756594,54.09951046396467,50.699626196169234,55.23058967812674,56.61972503570636,57.74499133382504,57.51648665959031,52.53602675581368,54.98841209116314,57.81303574926244,53.90951517882063,51.55241966950668,56.004532775203145,56.68615870560202,51.418806619618366,50.122800627715385,46.885096274937645,48.18234957185668,47.89954411032698,44.68585953834857,39.84969513130473,36.556820987899904,33.275501092690156,29.555056047414553,28.723747761111774,28.51443325806117,30.37594080839632,35.08687286084567,35.027512694056426,40.20708366159359,41.99686236772688,43.554774522005495,44.85115615670492,47.75207971280563,47.26610762562956,49.03957768555926,47.2169731531611,49.862189929985156,47.675218452575635,44.22154107456176,44.255130929021846,43.359203755910094,41.44925974100272,41.60298427450006,38.03389311686682,38.13222928774225,34.3979961481651,32.62442089827514,29.326657678877428,26.728611103357785,24.105760063481533,28.827580629672063,28.192040421441174,29.966649490432566,33.831178242128445,36.00117503689599,38.59115749232335,39.60219452675676,44.78626252267995,41.85691742624826,45.62401673455021,46.52379171642318,43.24073230256153,41.35123263302758,37.13971512958498,36.2273484178486,31.484611692550573,32.66110314336553,29.595072440301873,31.083436836471794,31.89476711217866,33.68849128949622,34.01503825527211,31.059629160953286,28.677170814827925,26.82112218934688,28.30949974074367,28.11877300026082,27.426084718523917,32.518813735933875,33.09884364540697,36.60678306736131,39.97516911522289,43.29363269138536,45.31089113890277,49.161103536393874,49.62975234886454,48.431409169170344,45.75098205216579,41.25246387784043,41.78317194425696,38.84510205978542,36.562472983702335,37.50768723979247,38.24316924464065,41.60283043624102,38.95356168042342,37.79369389998091,40.01672961394867,36.847482152121174,35.255553959092424,33.61626076322002,34.3624026073701,30.635326743221054,32.697080252872134,28.7581896239024,32.234849407478514,28.410877786652907,27.9063143237752,31.03720155946171,30.390844246066536,33.920706211452284,33.82471812534575,37.42980715405052,38.760095159392314,39.112861549559014,40.055394439293465,43.57870932169588,46.27377870214419,45.26921519347296,48.5763825855894,50.67838471761479,49.04105327280702,45.07574684572684,45.22507922272972,42.19149072678647,44.25589247649002,44.23931563216264,43.336779172683805,43.15323525675657,39.550212397416544,44.48136566654267,45.799034496653974,47.553348452046336,48.00119770954032,45.06463746589335,50.51109602688555,53.420834017472316,50.68965010023758,51.77837466085282,49.105249398893015,54.406247264713514,51.28566348472589,55.5044864657876,57.16234897457868,53.78929220767078,54.38741889633191,52.72591276450046,53.450807586783505,54.45227374454097,50.01839508907311,51.11467095592569,48.962263893352656,46.31482854639939,48.85277635281013,45.76334006007754,42.70439558413479,45.01420259620604,46.14174922487581,41.32119555465153,40.75741669212637,44.009556055527625,43.092962032204824,38.119622141034505,40.07760102463082,41.653569978066706,37.357944038428734,36.06605528266258,40.23664411980205,41.55129781520531,44.88862141438204,47.96098851982289,47.722541316904824,49.57277533504147,54.73214509899115,57.07262290235358,59.57002615426584,58.710823667649855,58.176312978186914,59.792429659653735,56.762087110759104,61.56179738120126,61.3276496042025,55.768230922349936,58.270357897990905,62.325292635548976,58.81242890737532,56.528759761877744,59.903461701203376,60.60814990401369,56.40474187391336,55.03568551542342,51.77441152988216,52.06422895939234,54.692132124986145,52.95816009985003,53.24549154636058,54.33231629416073,50.83717772761301,49.121346395283155,49.99709905670134,48.255708500607895,44.45160950704932,44.904568455124014,44.73184384044036,41.67074829360227,40.89983479430224,45.261921131104394,43.625282602277814,39.33949425075225,42.91982844510736,46.541456118921126,47.337667071247765,50.187724452416354,49.76796098240921,54.1354077013965,52.83638115470957,48.3161436557117,52.368079221411314,54.43867391826814,51.55466254219342,50.899076658080645,56.79793578217651,55.99897427942076,51.1766754620417,53.62198773981936,58.39329688073976,55.10782922245405,52.97400826730802,48.66570853168226,52.90659045996593,49.79910828315174,48.19030264520916,43.65986277850724,42.810747843274434,38.04474540722754,39.13646171502703,41.39486700793115,45.00970573125049,45.2753779810471,45.69845901480021,41.196792581016915,43.27422296410666,38.47469824887897,37.11494155355583,38.35313112483052,38.96338509582033,35.57148518042306,34.211784291557294,35.04561956330836,33.28857290385652,29.761352662598586,30.025857828825973,32.29731302011577,31.252461202729116,32.54937014596533,33.94919965985184,33.50253020503614],[25.895685262750114,27.29562365098311,30.0327734906496,27.442861078887553,30.86079072393427,25.082387444555838,25.184083989560882,25.206989729461146,21.00235435752647,22.533935683778328,21.053897952258055,22.37766112354265,26.15490809582934,23.250869016808668,25.19993337865308,28.223762761315715,29.594566698177665,32.46978678682397,35.48485559027847,38.705007357224005,41.819043146909245,46.19582047921066,46.567782796543554,47.51338396758725,45.018204087215175,40.716761967701316,39.73780564161219,35.57407059467904,34.402491313018956,33.12286532662986,31.787109481921497,32.693912206904145,33.37031537185968,37.15701289626482,37.466610282550604,37.26884909655407,37.78983198589181,40.240389225958,41.77215844127396,47.94699854593068,46.72470636197332,44.2661629171225,48.48897493802777,49.67653778172475,51.66757674777875,51.32744507346276,55.25808726128004,54.30940413768836,50.68161920729923,55.02709654474633,56.444855655733775,57.32049662124196,57.17523590427245,52.172963333374945,54.56637962681759,57.72090648078387,54.00219756367318,51.52829570956118,56.073560872932056,57.03832135832312,51.887426360199626,50.719061720631444,47.436612937969684,49.17344726106677,48.71160012076808,45.192422327231824,40.776620473486716,37.20506603674094,34.32565339114056,30.435102597585267,29.945528764786907,30.26579923177585,31.72320851614877,36.483423724677735,35.85463110234572,41.16616816542432,42.53638545614986,43.93100140465354,44.95767721454973,47.760216275355006,46.80466051098777,48.45834445637806,46.19188802780211,48.78165947240833,46.75522366309091,43.4037849624529,43.90326269068995,42.73741211900973,41.3993183530396,41.505354838633984,38.2782265889846,38.76597087159793,34.84895229979077,32.65407913993429,29.125349894614278,26.72146912420369,23.844678592118804,27.916739825694787,26.75631349245449,27.84842287228554,32.2201528888965,33.746772617871194,36.836392672769804,37.364419229571844,42.67205950169593,39.56243102238851,43.08534392563138,44.00536771811585,40.5649566440494,38.67088173973498,34.50518214382517,34.10176958824494,29.43080221228765,31.135629534004543,28.5768500044828,30.423651979006014,31.66965948539481,33.76112770849257,34.69772192776992,31.417348823732397,29.079421530858475,26.762539169846065,28.11743224755968,27.34679496673389,26.030775386066814,31.00126119969613,30.792055350854422,34.53956313972456,37.687786859117274,41.1117252465874,43.08485382136496,46.8342813931874,47.65910746889977,46.40042842432186,43.97479880506959,39.56971001961483,39.99413517078098,37.500044347724625,35.60752095967751,36.73024247374887,38.07997868008075,41.648631409735245,38.98684247340411,37.438400988669414,39.62058838298216,36.27714698572681,34.5029601514439,32.45757514515988,32.72901219966809,28.71193758800668,30.237535650091935,26.127122151668885,29.302249076197587,25.136825556064956,25.207815128592237,28.59750804511185,28.34397619426138,31.656939219798467,32.145399320617045,35.46353670735759,37.274034305435,38.08018857766124,39.2178348304664,42.73482779250967,45.31603352912812,44.48320592004377,47.4475913794717,49.7126353434301,47.79069022439445,43.950373360440636,43.87701449066046,40.987887736352754,42.97734727126071,42.89148044590549,42.005453141485575,41.54416710951162,38.18195458382216,42.95247928555962,44.51941760304733,45.99740773037014,46.64165468053027,43.26229037641682,48.77490043710007,51.808106629693796,49.26263853316956,50.75691662640452,48.39125315322649,53.782096182574506,50.701513828411166,54.78448081794018,56.227720558546665,52.68935259010807,53.011505899403915,51.12311776502336,51.60189348886193,52.371115973961864,47.85238131437164,48.64335861930143,46.303203366287036,43.532311109409946,45.77185003826844,42.55938561019739,39.68243042412568,41.91889055990339,42.75293275036914,37.92943731573547,37.65379307480531,40.62479478422884,39.39568496288949,34.60254998660609,36.599180222699644,37.92833291998208,33.5563625742523,32.52594499703553,36.642981303310286,38.16556514995566,41.16913650382093,44.67325427349912,44.29137250913656,45.92463754599544,51.105758478041714,53.280195662187666,55.86322579982489,54.94328901292458,54.544565107196014,56.18806642578509,53.27417665127242,58.15273456659861,57.894052861841786,52.494873177987984,55.076512087924314,59.172877425852434,55.73124053570241,53.57335903689399,57.085723535962174,57.793568420627864,53.58653491941948,52.484581714675336,48.94177648155763,49.226701882761176,51.67448391358066,49.67052809050748,49.930124016124395,50.78090706156517,47.45120488659219,45.798626975468665,46.34703845650764,44.593657708597576,40.955795175013485,41.27711931646903,40.86750609347662,37.7747313141915,37.084163546172206,41.30679148299392,39.52748529937653,35.258302059631035,38.91850853603891,42.46687617910592,43.41473855318037,46.29285797066395,46.03515116852809,50.40762439933373,49.03416786366627,44.70313307187031,48.85905344870963,50.893430226565144,48.05465241899822,47.63649163644658,53.479666512000776,52.683770239419665,48.04357651111019,50.63145045808749,55.321728863529714,52.1156309137931,50.176154851259554,45.83491302818122,50.17724572937297,47.101854538501314,45.193663158114305,40.825560371011456,39.75876213116423,34.9908648978862,36.45841678357325,38.76896155858136,42.49174321681099,42.7741439181249,42.89613961254344,38.54613797174123,40.61778894203998,35.99318456414453,34.17135476637752,35.23230380460713,35.53529920064301,32.26428176213589,31.09236922886084,31.54249423522043,29.593034517332097,26.48853286223807,26.606769835859346,28.498265916953347,27.221809826618586,28.41042890723192,29.824100883962018,29.414123339940783],[24.9820063429404,26.136729550122332,28.960727574690132,25.63476589717901,29.43851980823721,24.36188399825304,24.534420969547448,25.441981344900373,21.151022353252998,22.24379070811624,21.349656783034042,23.516612320695582,26.373978016622765,22.907543674675345,25.61871895720235,28.72646896686831,29.26760439370877,32.20972658888492,34.652410961099825,38.183657935033864,41.098557695161176,45.57880780918942,45.60268015575856,46.25997973062815,43.845240233104136,39.48653183867798,38.728863742458344,34.66805980818575,34.116163294848775,33.3998400807289,32.49436339396144,33.773024685772654,34.95844598339713,38.5425054223917,38.45676711672977,37.694375413542424,38.34431373121693,40.04342576345912,41.262816621400205,47.52965605482019,45.792392336455066,43.58317757516254,47.952801468241184,48.74356659863749,50.42292430082601,49.77001689663548,53.71715047014011,53.18270493369198,49.42230682867825,53.761053479853125,55.56490777761885,56.613562839720984,56.73554465605772,51.666942754863065,54.57814855711482,57.48067596739306,53.54169504146724,51.530765173026865,56.165226512542006,56.6806319054612,51.60918218183385,50.81290018282935,47.79609641845893,49.14511359440989,48.40732130331743,45.07576942772881,40.410771776823445,37.12408571445565,33.74824121320948,30.233074659084117,29.267111904281144,29.615144733917056,31.682708077762346,36.26323659973629,36.17800656623668,41.77861209759946,42.97287459670705,44.86283932030643,45.677532655480995,48.22759900124212,47.41158848815635,48.68515734478901,46.74175158197313,48.95780010814584,46.57050548493353,43.51535498462781,43.979464312234185,43.40740623481064,41.79120122232238,42.582969375828114,39.148832714360424,39.85359361739798,36.056044923115316,34.16375897866892,30.358508682727113,28.291611403610727,25.042796536591798,29.56575911180977,28.389462729358762,30.090452491763596,33.80881741911223,35.266912825337954,37.92500784715186,38.24118331073369,43.16057715395622,39.754072369383906,43.36644632209009,43.84684658850276,40.29116382825494,38.813842353565995,34.32580082427212,33.75200365823588,29.038827933319606,30.21833398190364,27.70860059113777,28.979703501824126,30.401634872184665,31.924000211916535,33.13837403004515,30.401146970871423,27.657507059917076,25.45568908239934,26.136915105748432,25.638468216558284,24.655123392285702,29.54916726516667,29.883950970783122,33.5956794752775,36.90203361035103,40.61577939703457,42.100190598151,46.131565338664814,46.706093685104136,45.923630764727875,42.92722607460239,38.45747361723563,38.39257587736053,35.74463302223039,33.55866224227807,34.97581782290173,35.810482964353824,39.584552419807686,37.3231263217535,35.94499968025949,38.47851342442384,35.58323164664407,33.60274013053332,32.08619371294897,32.59012391628605,28.801655012654578,30.7644720079642,27.202232762595095,30.96718490147571,27.413010615701108,27.477081922236415,30.402684370761314,29.558316097130444,32.642030521004585,32.83223606849318,35.73157119054459,36.82565479486217,37.7604882118455,38.14491741117489,42.0075584130873,44.14609727774401,42.74325827201886,45.86873364839882,47.754783498413474,45.82658361130787,41.964310541381266,42.24433845416325,39.50372136901414,42.00402381586661,42.337166122371144,41.84027109366996,41.84196257624646,38.632197408971834,43.72971721072915,44.745276379171585,46.2766771094248,46.29135108633883,43.08920280764077,48.36605583223538,51.18405632468445,48.43598115190254,49.98447220137703,47.56227829581297,52.78839345928075,49.26512906427856,53.4047502932714,54.78350135039504,51.43269958278281,51.64714623830857,49.799065254618924,50.40657491911337,51.16400049847665,46.5811925253742,47.64074009285525,45.254641016584415,42.89425973066467,45.26147218857672,42.434360142294906,39.247738890404676,41.1500678902908,42.42937016633293,37.66440440411766,36.610867623138674,39.91091610328133,39.36748579098358,34.087063048552,35.79150608413344,37.51991293956726,33.386855079904045,31.685451853206796,35.760520457593984,36.97510722469432,40.54614924119452,43.306823994041686,43.32307617942498,45.30076578074022,50.50879872953955,52.88376590119201,55.44959239671607,54.883278554578986,54.41369426726651,56.24241788023818,53.38138270025011,58.121046346636696,57.59459158349334,52.022665730787615,54.757383301633766,58.59253996119153,54.892371330818904,52.769394961068905,56.22836871024756,56.592245445615596,52.308330780865745,51.276256676014285,47.94199426540807,48.731809084045885,51.37121957674931,49.63521110292721,50.28719493897138,51.508977935880374,48.23435174128234,46.122673993198916,46.971469256537,45.62467250942896,41.6681440546729,41.70403489336587,41.7752298355465,38.80486170681638,37.58166412216454,41.96074020866918,40.52988541974006,36.06504255040425,39.300079862878455,43.017765768291675,43.61634331882215,46.642893962084976,46.315612611248035,50.592355514831596,49.04036341058169,44.41977381717204,48.586757802752494,50.41910010212695,47.3971700596599,46.81584822572741,52.688789411626864,51.623165523299825,46.76206540971633,49.35365480012456,53.9863330145384,50.495300125029146,48.40015929431648,44.04652652659875,48.10728767783697,44.89207758771727,43.332340891061186,38.82653590215216,38.22593281800488,33.50560003990484,34.34026523571078,36.73802524261147,40.31884757729048,40.80585815213546,41.4299117454741,37.17660247311669,39.592529189840434,34.91990196090492,33.423465513377764,35.22220219264326,35.87436641866269,32.923855401815494,31.0108364641702,31.570621349169688,30.2917733454807,26.784395917667844,26.30072466846044,28.71725106855407,27.929967698648802,29.414285785122974,30.847167641561093,30.578663095180048],[21.342077040944904,23.214188708101652,26.6566845968792,24.47645954304569,28.746008217259554,23.22078025166777,24.331253663392495,24.927585591428105,21.38449128159816,23.756280875444002,23.161169896514725,24.497019942885444,28.116755001140678,25.525154705069188,28.323793592189645,31.07875945474989,32.05281914583181,35.49738296557145,38.55087439657725,41.63763668021707,44.95429161347256,49.27201159887808,49.6733341229077,50.2893897028934,47.54566985547679,43.29625609744287,41.98767115863038,37.73882476607829,36.91482818518324,35.58454789817504,35.32638560755544,35.59634736535598,36.81892740235129,40.889870933862,40.68700199693854,40.35036220599689,40.30411757041139,42.64627456262149,43.78214537552884,49.84548609758426,48.58331042732804,46.792266653610604,51.10358446023216,51.98382126267563,54.01527309599724,53.307880301293814,57.252917030202184,56.43490352732026,52.42411973386277,56.496967540500044,58.3173916088158,59.02952030218633,59.24075363671045,54.177618987608206,56.939252210347334,60.26502355188349,56.59548525876848,54.39105324850343,59.09244158192869,60.00331396682772,55.072974023279656,54.343919812752986,51.233257795490864,53.10856091837072,52.255292737614695,48.5882091248222,44.431611254239,40.83335707978714,37.97976263616855,34.259320442779725,33.720021045979976,34.50460450444152,36.070320426639256,40.71152433385967,39.96925169334768,45.57306950938728,46.406762741725025,47.978777104529534,48.566851912628394,51.05357622783687,49.666471571215574,50.8529569594714,48.30120479057483,50.47402746889706,48.361185705662024,45.43924627886923,46.49120477169388,45.48825233492843,44.615526613757,45.17466847732094,42.18980294561461,43.20100364052674,39.217983313599056,36.82796972798315,32.92869547806389,30.97821943387795,27.658549910222142,31.2394935891189,29.447948180703595,30.01182369771815,34.53290141536828,35.039105962001294,38.48167818905273,38.07926779048989,43.168306939996,39.50418676263144,42.64915893297514,43.13225246258202,39.292564948182346,37.873898882213986,33.49377814214449,33.85075983740344,29.34533359598094,31.33520404966897,29.648262518686103,31.378186738274373,33.3519694841929,35.217231322236714,37.123871033227715,34.026099654435434,31.408029866870855,28.71188416820338,29.196445894465985,27.933270592698495,26.059164102733934,30.620541486735856,29.628034778937614,33.722447811508424,36.60381779440038,40.510937755915585,41.82110548185385,45.682051726585016,46.857883113978936,46.032765401763385,43.43587029632826,39.1638426695141,38.81513802222285,36.939711366525735,35.357747918935544,37.0720892193117,38.69921155882463,42.72754181472417,40.4979738906227,38.63971440708581,41.092034649755945,37.99149099477621,35.802149311015555,33.73329558551775,33.52175919442332,29.35039402680888,30.36838162031425,26.574163321511826,29.6561552659365,25.459670395916397,26.569021073206123,29.929444145610898,29.813989077519437,32.51864594466315,33.63627310807533,36.08050243365129,37.917847485631896,39.49725366452044,40.1619035453305,43.97299364013519,45.92051171327264,44.73275278514123,47.32930449026245,49.389980851429435,47.01804244351821,43.39340776021861,43.37937966437781,40.92545009188116,43.332102049356955,43.571114578413656,43.09658230999332,42.66060579387438,39.82207099146033,44.59043225558532,46.01761762966716,47.13032879991217,47.468159890599665,43.6146019546834,48.94516133736604,51.93036814571302,49.48416258377022,51.62862131417353,49.657536265283014,54.97086211846406,51.51198827775869,55.43560242796367,56.48627156831107,52.92850475582204,52.69959645700781,50.49855462181311,50.702308455481536,51.0352270730149,46.30966602014801,46.83376576232338,44.058268182307096,41.57573598813681,43.30136049124426,40.31911263904284,37.48785503666112,39.0784722380727,39.79021445974296,35.06635525851019,34.3977948879064,37.08401053827578,35.99394383227227,30.99796987363313,32.58774402566814,33.763020481850376,29.542212399368047,28.185500074059114,31.952131720642694,33.67849073705939,36.547134193061694,40.17918139846187,40.129218136641896,41.64309136121327,46.966616307454025,48.878021443331285,51.77490466832114,51.246585552757836,51.153692352995854,53.12987603438503,50.594130885045004,55.47371551119254,54.79720320205913,49.581782629335294,52.54969733583111,56.383319987718934,52.76425489045039,50.96118084038566,54.69408010149964,54.930426728627836,50.618383345667944,50.22008616139745,46.36274847125577,47.293741204342886,49.57853507069458,47.30821096782369,47.97085557591369,48.69532144376633,45.81925119660538,43.80764062357218,43.92238574672531,42.60852159364238,39.04214127070164,38.69577118517146,38.236825728709704,35.21817865145407,34.087208846985966,38.07215712493386,36.28896370810985,31.805134689500846,35.104605136532925,38.64148936475713,39.60529856333592,42.813080746974904,42.95438448419397,47.198424672499634,45.33245636182985,41.15447106741031,45.622589912836474,47.237307180345695,44.23736654673149,44.25475678814488,49.97383640578025,48.72976252388901,44.25608107220636,47.24295384109004,51.59980775753,48.107894468296806,46.45232280585732,42.00629800188961,46.06342006502997,42.77717801238039,40.62327012615606,36.548240733256286,35.766123028541436,31.104468635606956,32.46509578231164,35.10524692446618,38.836009742643675,39.53683775267312,39.72755626538441,35.928855908340225,38.45337933735718,34.18709330319085,31.79178490607046,33.38801788728097,33.39323219625029,30.814502850416716,29.2130900151143,28.835119912027277,27.26238634749592,24.785298706262534,23.700257555958302,25.1866509122133,23.804434941630916,25.041954701900863,26.503176927688003,26.278543522774775],[18.348526832887917,20.51806561904564,24.354747267312717,22.56391481146959,27.25501564178046,21.974344966175494,23.702340175254772,24.592096085958673,21.589584259467735,24.42072211227515,24.33730172030136,25.600670775558616,29.08127997751219,26.783123831366037,29.97654936639949,32.51544895331332,33.291962591861946,37.039412515008074,40.14563568193645,43.08050944335798,46.52431992023277,50.760468715389855,51.22297495993964,51.65118993855525,48.75289291724035,44.579257166467016,43.040252212189436,38.77107243385458,38.116089969709265,36.72711133301815,37.1169570420992,36.96933590934117,38.500514060562466,42.71684842855372,42.20821657832585,41.81899019321334,41.40891332847826,43.71227144794197,44.61200969483124,50.54764564034424,49.31780253538494,47.94611594668605,52.27038643037495,52.987848555489336,55.07241853907739,54.169704519468915,58.10089103264973,57.31807327843421,53.09670603600391,56.967095376941174,58.99514472235454,59.581890197092704,59.995681164518714,54.92795965741764,57.86836333088443,61.30886127068205,57.70932072569691,55.65125529967979,60.42494196885135,61.33604853764916,56.567245138117514,56.09937912724274,53.095234040848766,55.093363092919866,54.00565188415847,50.240655023280844,46.308951277305894,42.690876968835106,39.934901582960364,36.320683368611675,35.81191261668316,36.89862825548556,38.441752204356376,42.98703278758957,42.116228602932516,47.854035063312416,48.33810991427562,49.98436416713109,50.2938706569218,52.57711070831424,50.91218977309357,51.81657545781061,49.08329085736625,50.99778216643578,48.869614673456475,46.22245710901531,47.61899339387971,46.68850001536639,46.136460225401756,46.94273423714921,44.1460228859185,45.480894993687706,41.47494430584053,38.96535368334686,34.88367830026907,33.22315184067634,29.69506005901811,32.90971383052767,30.769543529601513,31.010965200159355,35.54627072194727,35.427146098643405,39.0460912887347,38.08201541867852,42.992297466465224,39.03536882091531,41.9085701041539,42.13684676366105,38.09407765647457,36.96862378010026,32.52996333253979,33.36836964307027,29.055020008509736,31.225873558175504,30.116509033376424,31.80066935772072,34.17938689780807,35.947114384740544,38.415822612213105,35.40194165779171,32.697262556010386,29.797158209676457,29.812076969718383,28.228196587060705,26.00953595808063,30.21043462101867,28.68563137441054,32.92980064503911,35.58816845857528,39.731242963431555,40.64825226804021,44.52276414756675,45.92607492954921,45.34302256987603,42.707471414020304,38.57116863788566,37.787864163111934,36.346689880617696,35.02356316196867,37.051607709771076,38.909013276988695,43.15678994212373,41.17254759604772,39.11457817992927,41.67005492906105,38.712738000860256,36.31053685734986,34.21108142029745,33.68434103612482,29.48220466346021,30.143771777217637,26.618026572742203,29.572817347232238,25.481768126565832,27.170420969001434,30.429461987408256,30.40278540491544,32.691484740350326,34.185681305555065,36.07143350140798,37.9448403548388,39.98069456526412,40.40731794813078,44.331103452991975,45.902740531403786,44.564895151676524,46.88454986202928,48.84599785764171,46.209422973987046,42.757109543412284,42.73709339908767,40.56814512503612,43.16119996005115,43.56565922959693,43.325525528810616,42.88234073682871,40.3917261276158,45.097803753453476,46.45089467110576,47.32344644192629,47.50467864787824,43.37604969616898,48.561889057982,51.51064980250728,49.160865180203956,51.69478924977928,49.9946552355094,55.238544635057316,51.60659599092901,55.40054156500255,56.20164113973283,52.63256273464651,52.06901676502709,49.682969976559775,49.70100699563557,49.761997042216684,44.94760333008073,45.28052575074275,42.26091173546493,39.94953155244686,41.338813947662835,38.50632802317945,35.74388584595814,36.93836995944248,37.549630557978006,32.92839614135585,32.064065579048915,34.532580920814915,33.51567706874245,28.456952846895785,29.79545394922571,30.857650063550807,26.759680765946758,25.237508313397505,28.77119098177596,30.619050904230583,33.37243351731251,37.093933701151755,37.205963208004604,38.63218137795354,44.012587278973434,45.7747262450621,48.82928137834864,48.514760886671915,48.59331790253123,50.7489754513832,48.44269544292663,53.30174759012981,52.39243987391368,47.31137487003168,50.48888292586927,54.16154301936369,50.46499116773781,48.87942285641686,52.72847253354318,52.706488730149225,48.36037547673719,48.380452275252445,44.34174617522771,45.62901611329282,47.79095372119506,45.365739224754705,46.258336963154946,46.903247186032736,44.31543819588636,42.10615657688756,41.96164986988832,40.92452589897843,37.42801696653136,36.68239030025484,36.20709594298866,33.2671790791293,31.871346873177874,35.6841662621099,33.93053174014673,29.35441297223614,32.39800882482653,35.91195183772712,36.86669807238232,40.24437327367004,40.61297950371175,44.75872244149622,42.62171546342192,38.55576583394447,43.17925283944008,44.549476692102864,41.47708300637614,41.75524486615258,47.372150843907924,45.89218441882964,41.5478307981837,44.75269985913595,48.90168466361442,45.285208554381114,43.81452786390732,39.33126136160098,43.235550967921554,39.864105093897955,37.540772722767244,33.669177972228375,33.010477213749375,28.451738643790726,29.804863050238346,32.60894863120908,36.33182655442803,37.255421037673635,37.433228657696716,34.00341547268086,36.75516413942508,32.770387204646184,30.02169456904101,31.89620713629741,31.708226404574408,29.59536296949027,27.7703166736742,26.871166170914627,25.56072301570017,23.542992538580172,21.722520485393623,22.900855870561067,21.49604586184104,22.76950948305035,24.25207088005068,24.1620517309755],[21.652140997804487,24.18632756310432,28.564130876829758,26.790705767654014,32.06219837887344,27.409635968050203,29.454327609350855,30.726632188749722,27.82214193168947,30.484116709941212,30.50125410007763,31.979165522856505,35.26635701439643,32.68042058122054,35.98802961211402,38.650553892792026,39.18244253030454,42.82502249660338,45.5801455324215,48.76511377584832,52.01802871347716,56.349293555418875,56.55369693094458,56.87019467033225,54.11637921473182,49.89100512911541,48.59075549837454,44.40713758403187,44.025702188239315,42.88216821850215,43.148280858923385,43.27513064536098,44.77241852270773,48.89351628791579,48.445158371052976,47.91377354025794,47.65820478083632,49.69018290292365,50.48871209872786,56.47420893535222,54.962512566089586,53.64305107382911,58.03688324256175,58.568257184331365,60.421599957054774,59.34529207212707,63.27298298892566,62.78736906747016,58.530599596122514,62.40194143143715,64.65717753989604,65.34817675769725,65.88980609755349,60.79486256095261,63.94724209120223,67.24729519154504,63.522212166472514,61.647540345934566,66.43166829402256,67.12314923131727,62.3333962500667,61.91026459673145,58.95766636222227,60.68979041523717,59.61884342423898,56.0147338958627,51.815682913737916,48.3678913966968,45.279710226258274,41.800341980518795,40.998599659042455,41.78135070070406,43.70860387959404,48.24318784217216,47.761959705970185,53.496689420631455,54.188419117102605,55.953735664246096,56.36586115159086,58.660924597882534,57.13966920635492,57.97965125869463,55.37284727713627,57.17347918437556,54.91255257485648,52.37334971355119,53.69311533158557,52.94686247210999,52.19581688208075,53.09071861791658,50.128614322776336,51.2819460865223,47.324484604175986,44.96695060327479,40.95126421952787,39.14686106115211,35.69420569861843,39.18675402809639,37.16100381469029,37.443743216158495,41.994017053524075,41.8558017094265,45.45597994543953,44.374225508952065,49.14975692980803,45.02977143194935,47.77888130695877,47.73658312527691,43.54565399358149,42.737908142037824,38.20847503054981,39.21297117351328,34.973556302493876,36.93673232611496,35.90414067361148,37.24596181144759,39.6700263821157,41.04585968690759,43.52146999440483,40.8610223354449,37.951962947978885,35.229722561466744,34.884076514764764,33.53290222905138,31.520031094793826,35.55167056133998,34.12598016805388,38.38535953066642,40.979078421155705,45.350080404299966,45.80310357852772,49.79701592991583,51.218122189926326,50.986768279372896,48.073376720254615,43.985511482659774,42.688765392155304,41.36366636514996,39.91516939840217,42.21851351354879,43.6645760913665,48.05020145930015,46.37335640524543,44.47299650639077,47.236698840117526,44.529595914418906,42.04682413610599,40.213212893895964,39.76430944902781,35.651489342683234,36.342423388602924,32.97832126953706,35.88341690267565,31.73008218039518,33.58034802462721,36.87536943221237,36.837648021142655,39.051113822929146,40.53002262515824,42.243548677752145,43.86563245355338,45.98716617077959,46.02665122045784,50.13018259612935,51.41011037451726,49.66716638509193,52.01560972944792,53.64689776610862,50.904614872470404,47.53557067615963,47.77798905875377,45.82527948011533,48.763486832144466,49.41257609202154,49.373443844047394,49.08703223096417,46.66922555421344,51.44661152678155,52.64877055962711,53.51013449917336,53.437230960716036,49.323830017547095,54.352263934076156,57.18323342504576,54.775574979239536,57.42148474455284,55.72097945899291,60.85255881137907,56.92604580806769,60.732181687701676,61.42947863928691,57.99637010645979,57.246230735616834,54.8079260921149,54.79898426873566,54.66919713251061,49.77717062506806,50.09442319582486,46.83835424959261,44.90061541504639,45.96763981187068,43.437219493411035,40.69146967153497,41.29799121042807,41.90729196958271,37.49833983117786,36.10187874654309,38.334382087495406,37.596220104358245,32.44094357603406,33.19913466532928,34.09619867442747,30.37842068007443,28.3970207790666,31.22813177509724,33.230391520346444,35.81976897104843,39.43046457468025,40.1447271096873,41.450610866034204,46.911504284241964,48.27607194907172,51.729015233681864,51.92854040370112,52.348579522693946,54.820610903863326,52.89645142138786,57.678195935013676,56.37020876265708,51.49722234168401,54.98042947850949,58.33289267338798,54.45711308985757,53.194256043518784,57.13642890486612,56.616076816801254,52.207951416132985,52.78510470192498,48.67641356840379,50.5528309134764,52.63314244302683,50.10457212164444,51.31032634831441,51.851993788260685,49.61629077329248,47.19754077310264,46.733527644427774,46.013689423988424,42.66324480265515,41.44365101083102,40.886345388176004,38.06347690300215,36.39202305886511,39.82601641309182,38.01948777201231,33.40752587425534,36.00295108249583,39.34812390365921,40.37055402171341,44.04714200120185,44.83913848242905,48.77681788360558,46.13759061852234,42.325373761255676,47.17364515152823,48.04784442613543,44.81913670105753,45.51570624717432,50.9140275488643,48.87674443696382,44.721237612123375,48.27941517038331,51.99368564388951,47.969471814550204,46.75619202103055,42.237817166066996,45.53578566020339,41.84780036694572,39.47812690527733,36.02724802340681,36.03759920365967,31.77911516718284,32.546666870466005,35.69450488369929,39.22392183358361,40.67643972106288,41.21461816266569,38.344799769629944,41.49279405712153,37.76824126670137,34.896657485891424,37.239009480740705,36.917415165963256,35.27477569059178,33.18674379877965,31.80583554430026,30.833882369241223,29.242986795152262,26.68627564590749,27.50618885552626,25.951577973653237,27.12856055884339,28.537500291896304,28.396939296420136],[17.11333164069425,19.9537097434198,24.332438815728473,23.55381817287182,28.579327142640476,23.540238975715805,25.983090545050118,26.83751196342815,24.582226720230807,27.96379458691009,28.16496363593444,29.031336207563594,32.66835420975057,30.837075692044483,34.101636152392146,36.40299206697946,37.25962030842557,41.2235262404232,44.50615987338855,47.22341926912098,50.81563080787807,54.94299796487231,55.54390437163738,55.87827404471848,52.83274838595914,48.755314811398854,46.964121951571386,42.6734986628774,42.00196187849462,40.38343523213769,41.205768273406036,40.54085795339116,42.13635265051498,46.54296139179537,45.91740719978402,45.69351231373298,44.88820756648891,47.40690094641473,48.16838817671433,53.90958627901713,52.88095407452298,51.852622305874455,56.12915455111555,56.80128366942695,59.01134655001763,57.998019364890226,61.89674332793936,61.049690524577876,56.666784712873095,60.31645063962649,62.44563642065564,62.83670794955316,63.37989297399755,58.34882605906587,61.284467382522976,64.91961623076871,61.473507962653365,59.41267029323565,64.20938060466965,65.26712510899696,60.63786582902801,60.284411385195654,57.29230868768771,59.50597960144084,58.313380678159284,54.421404228775714,50.757689686464154,47.05562846913405,44.51039535322486,40.89339144642635,40.513551140784,41.77189337306138,43.17200862047953,47.69012561872618,46.585436020671224,52.314532220796806,52.582950575210795,54.10924978667343,54.25552440363528,56.4364515531258,54.45623925110992,55.214326373096426,52.174175531437015,53.94291500937389,51.94948768951421,49.506009648270194,51.260306989581736,50.18520454969242,50.04836946567691,50.81718897917889,48.27682807131595,49.784899895091385,45.73491561198365,43.02952748765263,38.936215630517076,37.39231548793814,33.872064506418006,36.56421825109918,34.12133613993842,33.70751658400292,38.53617218037208,37.729863044769544,41.7332178463739,40.203717754383774,45.01919243837696,40.86966665752025,43.298759633173916,43.37580613954621,39.147054762266016,38.2570319276373,33.96293824674494,35.50041256067062,31.51483023555762,34.04471641280033,33.55058664909472,35.32146274145208,38.018601980104606,39.806180321209936,42.69245542711934,39.65096297046016,36.978970339291095,33.91064294836188,33.65299574883379,31.73516940774216,29.12580015383724,32.86854193495351,30.539470594679575,34.90359282603158,37.16112076870708,41.446548355092794,42.010497897526164,45.746285145453996,47.552069739240665,47.11086683527501,44.66951017811279,40.776822619890254,39.60294517645333,38.77593825193342,37.8472232941713,40.1303093907837,42.321471815842784,46.72060679435175,44.907050911353906,42.628226384129434,45.177879049580895,42.2577668187605,39.72304837006796,37.44637032254714,36.49948723868952,32.237475871001514,32.26972643881796,28.8800318741203,31.278336789436242,27.024857742249857,29.44752996024875,32.78857416264426,33.16988087115932,35.04425414483358,37.093529694533444,38.48884636814202,40.668441276409034,43.14710229048056,43.55734919064751,47.46512527283316,48.743919457290964,47.4066298520474,49.33810185601264,51.266366251238516,48.32069577910221,45.12168550021953,44.99837350283108,43.15415043433681,45.7838078523396,46.23486316555574,46.123913210407046,45.488794995839,43.355900308065934,47.80831033713385,49.30395540437998,49.866935187209165,50.11624337762934,45.61889743304741,50.674089719207146,53.63967115814226,51.50277954071707,54.46845974573411,53.102475483597765,58.29428822540651,54.61871037721225,58.22567555997553,58.74800960137834,55.12924522110975,54.186904419059786,51.56477656071303,51.28920050789351,50.973207080495705,46.100268923580785,46.04204248843605,42.69883439893174,40.502824591969116,41.26775355922345,38.51747557252904,36.07409952506135,36.75534504664821,36.94030842566981,32.54573958835975,31.760750121709822,33.6054310052628,32.32609232204335,27.558803856174073,28.524164504341947,29.060367533107172,25.155329342340178,23.757636841235904,26.665776988498692,28.950257763495834,31.02945830254966,35.34178156854885,35.6134391826814,36.621468832986366,42.05934488465291,43.32980134920323,46.7442618195936,46.657952252038896,47.137925311045784,49.51249975858692,47.621752989570595,52.49255878700975,51.316335505839376,46.62377120711012,50.05794630438057,53.55723810972461,49.88370178753623,48.67279900610904,52.70839158000756,52.403274602432404,48.06512619008038,48.75422464116645,44.37134911244813,45.98722249659876,47.83561148314349,45.02730548038479,46.07008215270422,46.33244703973886,44.22885091839217,41.99874342579917,41.205252121937754,40.38976903109643,37.279484023117234,36.02858002053127,35.174723644332325,32.32765340353298,30.854142010277393,34.13582450652493,32.159768324145226,27.618042756043586,30.417530079193757,33.6837356894559,34.9054277163343,38.506789749055166,39.388691357671156,43.36508823354355,40.81165497180774,37.219087775659816,42.09074780558051,43.082848257440816,40.00211398286998,40.881318919194726,46.22824806026019,44.42706818547974,40.49757459877446,44.07952054859963,47.817945137657695,44.10409517780689,43.07233607453551,38.5812846925693,42.221595059218714,38.755543666469535,35.98503797276648,32.67067722419951,32.10754520868029,27.83559355092988,29.365813662474302,32.39076286272729,36.07085173414438,37.31294742723691,37.2865967403165,34.49393831302752,37.41493948334018,33.94193589044341,30.576666315812822,32.47433002629862,31.77047166899671,30.260275016327277,28.553815267330513,26.755451917469372,25.4892042801081,24.547143920885546,21.961501028868998,22.170248477288897,20.30395212739686,21.347634558551697,22.79724447891735,22.75816700420778],[20.74683370621873,23.41775785543966,27.343262081286305,26.598309452052682,31.028184211055738,25.283212799125398,27.157300020411686,27.24443743214723,24.589885982361178,27.875547082866472,27.374692116943503,27.819920877846346,32.08799343652338,30.316057755570917,32.88312648386641,35.30201705380843,36.76172153936511,40.447147384309474,43.98420193028788,46.67561535959468,50.26843851964405,54.41593622916987,55.151677283004915,55.803185967865645,52.8478078015936,48.71997066857632,47.009949095355374,42.66902988488532,41.52375720335825,39.639552054145966,39.70600329811171,39.14923298747671,40.19677996256685,44.60015976523524,44.454055742482936,44.60242403044611,44.015986558407384,47.0008991847414,48.138846596946834,53.94905451245893,53.179401135539706,51.6483718226591,55.839857823960344,56.87501935551319,59.21264923758146,58.5405560694129,62.45543037354007,61.347001869380065,57.21337723101046,61.055109095289524,62.786271027597266,63.19082960433551,63.40136233749132,58.406716356715336,60.888203660095336,64.5774882382414,61.194972514205666,58.74003178319924,63.42486246991805,64.74233814381947,59.924440054130535,59.13540317885103,55.90343989137168,58.229655195627785,57.39162694250342,53.479407666484825,49.756516454301185,45.92212109576744,43.55003841632362,39.65574508718023,39.48236449795726,40.4681122150532,41.58982687627637,46.272603873769945,44.994378771101175,50.435633988097564,51.096990375850474,52.273079370821335,52.77308744135659,55.269661323025296,53.43667539067587,54.65698743537706,51.56833245559178,53.7813328826864,52.014556791045194,49.161292878236004,50.65108074922164,49.16561259049958,48.93119685417584,49.09514288851403,46.531890734679905,47.64621668116045,43.56498429149799,40.79047430008338,37.021112351403204,35.07969150575137,31.950308832963042,34.62203061125192,32.443727735629956,31.839724320130994,37.095573651347685,36.79172443304323,40.955068132251995,39.99815034895774,45.22471151827721,41.49223301379115,44.098355761727206,44.68134979972193,40.68641185718401,39.26744368867152,35.21033337348984,36.44683264976847,32.29722842197225,34.98608333289603,33.96375017146306,36.08481715403808,38.35641200839852,40.524379364720176,42.790486886734186,39.3957264845684,36.98118053956472,34.016504827034304,34.490732127485124,32.711129115956965,30.215486631390622,34.36107025568042,32.18494078357067,36.47249333472925,38.84900707372947,42.76936460159172,43.98514475520867,47.54799844209603,49.31201282025319,48.36428498369506,46.29384785648983,42.29771880689049,41.79627303438127,40.64838165282923,39.62951119384821,41.486870563594714,43.748315289160615,47.869936350157744,45.61893125950331,43.41791285312872,45.70239718595908,42.40525718535751,40.15409253407004,37.6035830482291,36.78171293481121,32.39026666311368,32.43915876612594,28.466473483462284,30.55787269196321,25.731716267794475,27.812932357931288,31.564320740259138,32.28100488108093,34.619069422147476,36.57214862191963,38.67496702372698,41.263105390179355,43.290520085809,44.32891473364448,47.960640833988165,49.82407022924188,48.930967349797925,51.032790323882026,53.27173547184066,50.56126677277435,47.19953380835831,46.884383954640235,44.68847510272677,46.875292485835885,46.94043423279757,46.39944755988062,45.48804794922256,42.97378303045561,47.279909011551545,49.180419971518894,49.91014678826763,50.676764571886295,46.29226792116172,51.63078759463848,54.76686891179236,52.661312125826115,55.26257939280343,53.691043401315916,59.05175359398102,55.76863800909058,59.47184225401787,60.25300326251854,56.525879566943885,55.94267659385857,53.45520742640942,53.26962093806736,53.20568877360161,48.436731513097456,48.38661499833118,45.28566233149037,42.66414069498997,43.652182256453756,40.499317673523905,38.19322633842072,39.463540985285505,39.44094023310736,34.89859895666429,34.81959860407297,36.66089602477303,34.825468053682854,30.455114434229348,31.877204119021606,32.24273997443064,28.037424003936223,27.296567012314938,30.476743548016554,32.841489500619346,34.63049759069783,39.36292940284236,39.20384309290679,40.05197448824454,45.40903838023976,46.65695525010595,49.94171055278923,49.41849320512675,49.80049017495431,51.88659230818455,49.75656040236472,54.749221452949044,53.96374416810791,49.266486870135076,52.41664706261703,56.24099561717129,52.805362512105816,51.373263294767625,55.34449197846425,55.49630652936689,51.236401008813935,51.49428407059996,47.13725706812553,48.10564107372795,49.939502225230584,47.07785332622224,47.64965652511735,47.71190410952078,45.321341238821354,43.581954730238934,42.7892830140161,41.432930581315055,38.49000314378538,37.78706520256891,36.57816258041504,33.55393562502253,32.717289699857105,36.04118927123468,33.7491693659317,29.429060419591544,32.81065126832384,35.96643891428063,37.47351620760911,40.814019622564274,41.55152249986396,45.690484787080834,43.50485823707277,40.02119003206029,44.747779664726934,46.10485422608413,43.21897513809336,43.968224842990125,49.39174398838803,47.99256451912108,44.08940757897262,47.46320866097275,51.434441417370024,48.026174016738786,46.91446154902407,42.46594795904316,46.43319265267594,43.14258250501511,40.329194341912896,36.896347535475016,35.90894656636509,31.494401039336772,33.4302050276421,36.23703136381325,40.01969800036193,40.91671742281087,40.59330647263436,37.372654754598194,39.87691989235811,36.153023146567946,32.89529285011516,34.06543953184029,33.286818738441596,31.13722318567452,30.12323223781366,28.712192489447254,26.71134307279532,25.645786896917496,24.11830345976199,24.25361457770281,22.026581621049996,22.769976712262103,24.170790354873045,23.905995500326007],[23.855738476721843,26.756480997126083,30.98247343991607,30.26266210826508,34.99608540752868,29.483427852377826,31.484088133956185,31.711500783390882,29.030664591450545,32.20294422701894,31.65500355714184,32.190550971308234,36.44159298701427,34.48089928403484,37.014515705561884,39.54254201519836,40.96207094632142,44.54459271016809,47.92854554623388,50.77613936146955,54.26340630546285,58.482057575958684,59.092556048406024,59.74433320988676,56.88614678687402,52.703724162525724,51.146640050018576,46.83049790059183,45.758478682042856,43.969730898628185,43.811390548698306,43.44750222920328,44.36142725524898,48.702678610366085,48.69812715934928,48.83802286657003,48.38628307098147,51.30620826773422,52.4581821782064,58.322808026853956,57.43835469947619,55.838478676183534,60.063093549466146,61.06280227608996,63.29462337059549,62.58349695694826,66.51150007966972,65.52566036623976,61.405465403062955,65.29023232965758,67.08299628639865,67.54770316108421,67.76762503042009,62.75990956543662,65.27480091955765,68.90115482615681,65.45568786324293,63.02279128527134,67.69493571445032,68.9432545734783,64.06687867042365,63.20624207412616,59.946793445048016,62.140309538659416,61.392690119427186,57.567248901816285,53.66066864632148,49.89496593657073,47.347306499762524,43.46592007610259,43.15166242613779,43.891246860241964,45.197379648611076,49.92164266638117,48.84590397302255,54.22394374697781,55.10716270801188,56.27476287420069,56.918560981958606,59.4935202457217,57.77357812252721,59.051520785259,56.01796627925901,58.25191287043424,56.451601879881046,53.581305821670604,54.9806822760738,53.516986738551076,53.146145639723635,53.230155887561,50.56045469446521,51.46981021475019,47.41135904877446,44.71845052061777,41.062441212084366,38.94478799164925,35.94349720043296,38.79532690096839,36.74486635449601,36.13662469903547,41.46975408595906,41.23851200571003,45.42594740432,44.48920200829836,49.70960269541543,45.94213629703309,48.48858563560642,48.99456277184542,44.93507654880768,43.62434689056617,39.545967919947444,40.854240951948825,36.707085573700475,39.310072699598344,38.242760012787734,40.22794422038457,42.47006713316337,44.48267047109809,46.651038682502055,43.387153733844315,40.88204116696513,38.02373040174006,38.40883717010858,36.776157107598905,34.40038581124345,38.542833664416534,36.42700537282212,40.74119603329201,43.09922500314984,47.11441129568391,48.155399035468875,51.76206649372283,53.55579559805932,52.72899446052622,50.562239189474624,46.56957985618055,45.8619759637693,44.74021973574468,43.63321310829337,45.59710261387494,47.645359614643965,51.82199089330042,49.663666937412025,47.55827247987473,49.9298068139921,46.701185675149006,44.4408399351598,41.9919061716373,41.23316712828505,36.85901120977161,36.92930794432647,32.96608512104914,34.97446224754365,30.04556195552859,32.15812051360864,35.98467596805262,36.749894390957806,39.117014687385506,41.050417174517044,43.16742292025979,45.68663070961128,47.69983265822744,48.62205284164897,52.324771299218014,54.121619237352625,53.065601658660114,55.21089592194871,57.318815854499704,54.56597520043495,51.2191197270951,51.019913426877,48.890158475184386,51.21403359529843,51.35684696687174,50.859248322117864,49.98347646863441,47.44688972585737,51.76423348078488,53.660100485102234,54.406422880310444,55.125062054313446,50.74766956413636,56.05112481709051,59.15719289658288,57.02811149062778,59.649581690052926,58.04539223558548,63.3833638380702,59.993244892888086,63.72520170583842,64.4853926184898,60.80555713546589,60.16170626025613,57.64919694813367,57.44774320121147,57.294803452367624,52.48237928247896,52.3999268543296,49.172383109282066,46.698390126905025,47.49241369146766,44.45031337590596,42.194258452247425,43.183625536238004,43.09129430290985,38.66261879730167,38.38569389745108,40.04586302170986,38.25717764757955,33.91383977511502,35.03898305474854,35.22970698560173,31.222323777373663,30.3175177099073,33.07543795110181,35.59209484385717,37.15584646600552,41.97381867612386,42.10959177544432,42.80644686815813,48.20309008983712,49.13889090662313,52.68427896707917,52.4134268306989,53.03341449575555,55.276449774042135,53.37641542989788,58.34806332193116,57.37296918779289,52.840311680723445,56.146470195092476,59.82957062876089,56.333005757037675,55.08507160818821,59.12143176521927,59.03986575504865,54.75203493828228,55.31672973732634,50.886515035698594,52.112810698394625,53.8718026675413,50.901359889436,51.583944771252334,51.50617200650237,49.320679632945165,47.54883149487901,46.50352331840692,45.258347926321406,42.47567092902529,41.54374907978632,40.18639501631909,37.220394032512715,36.3230925946704,39.363712733265075,36.96027279379026,32.684036817049154,35.856940708330924,38.846702854276806,40.48297351710822,43.9752917326043,45.000521149450854,49.02264376158538,46.5577557679281,43.30560708905621,48.16645270777584,49.25469709875864,46.3112758401042,47.34968508036145,52.634555638539474,50.942765124522566,47.19842014098522,50.78614190764485,54.50670020761529,50.90289102225538,49.970221955139756,45.497214324462576,49.15251255526591,45.690872061249316,42.788882869033884,39.62971455104292,38.964055123512736,34.70567467888665,36.388605325158224,39.38570393668135,43.08678280574874,44.25840239462603,44.07979499777582,41.1431408274119,43.83280692415741,40.227950697831034,36.87699007685988,38.22140003802822,37.32603915108987,35.38969044407022,34.317672466526254,32.64145252300902,30.748409395630176,29.941953208694787,28.086876720307327,27.978128086169306,25.597826804742848,26.21869151227842,27.564173273901474,27.222755175578108],[21.28334261179423,24.460597648300553,28.879202574249558,28.828481327334107,33.679271565058244,28.402638659541758,30.892989993304447,31.1935786635432,29.10672223357153,32.69694601649876,32.53369778594556,32.87684082081984,37.06908861679074,35.496902779344666,38.27998655672049,40.560580390312154,41.903769713575066,45.76142503964825,49.29376195827681,51.913164234010175,55.56566198653918,59.66548455320405,60.4163609826674,60.92288706647499,57.887164463150256,53.8085909856887,51.971301476397855,47.635517878747876,46.62431473139411,44.69126641866999,45.14116042603378,44.28723966132651,45.455093170533516,49.958862486012904,49.67487761430348,49.84439696641837,48.99081042217536,51.985714435464885,52.94456035935251,58.624570939807356,57.8862217464438,56.68244159630849,60.87602471896429,61.78102842916962,64.13281182041526,63.28776177904731,67.18645303722947,66.14312876296758,61.84255351962374,65.50249696543683,67.42132331241886,67.70761496208969,68.09340415695176,63.10803104619066,65.7027899053361,69.49226453177562,66.17902102896588,63.821681923968356,68.54327239826839,69.87826502248961,65.17609761774703,64.53966782129434,61.360910192291406,63.757863921413765,62.79863080903235,58.83663123481712,55.23256789360073,51.39991253742594,49.05059509940902,45.22279406788075,45.02238777717038,46.092902658740854,47.27076958296103,51.916673474480774,50.60604796545766,56.089567850563775,56.5966621044844,57.76891046069193,58.1291563639536,60.51196435435959,58.46796584199093,59.50147918770811,56.23101858469367,58.24478829064608,56.512199648405065,53.892291557936275,55.654573450635915,54.17193586644969,54.195382744849596,54.44410652705049,52.02296620746017,53.26856432584769,49.17654867685982,46.32006338334766,42.51180415930539,40.68179108281332,37.50934218550754,39.91030103692022,37.52081248944866,36.513435118858396,41.88042416054067,41.00976436056749,45.4021758879191,43.93179460145241,48.98014687603576,45.01647698861734,47.227215840163446,47.56133018386339,43.37871352443509,42.292046019119574,38.307728090976084,40.115452804921986,36.24449581358603,39.084686599363884,38.56847942777152,40.602702436541485,43.17333649670802,45.19835408014336,47.85399636321317,44.57616051473716,42.072257399078936,39.012882059679306,39.09459901123539,37.132551116154154,34.41877070657604,38.16887644363793,35.46226952534498,39.83809762266124,41.891844712218145,46.01073369045749,46.758539240663175,50.25805104839573,52.32866476470836,51.64364559767451,49.59988578754324,45.809275923342675,44.80694427196234,44.16357661123398,43.391398955973365,45.559608018422544,47.93561711725221,52.248749003891064,50.25353802386959,47.92594082927097,50.306125907262555,47.15251197460896,44.7421162127799,42.18397649386584,41.08067436803374,36.70119817808184,36.33196322862424,32.616881085396834,34.336879033617635,29.525408476073437,32.19201796435245,35.908217290067114,36.844193172547904,38.79143633250643,41.131452605955985,42.73439547975294,45.405298940220746,47.82940423309715,48.661131901304934,52.37242019567238,53.86936798823797,52.80922138712568,54.61861539752333,56.70606406144651,53.714614426119624,50.57933148218861,50.28498627580869,48.42427032335875,50.78921580333555,51.00516414163418,50.669677571642104,49.70212044636274,47.520191892644725,51.67635563680635,53.58202352934283,54.059307576412515,54.738983108590254,50.08076691008161,55.23525605991889,58.32633731420626,56.36198468388297,59.35421746658178,58.05471205020683,63.329209285849345,59.88336844920575,63.439782030409575,63.949563188613105,60.23970874777733,59.282821084019176,56.59337087997189,56.17114034377378,55.74311381870857,50.910240725389016,50.55798534956393,47.134933029954695,44.76206756811424,45.15099403195701,42.209383041039835,40.158228855710455,40.805003303866485,40.466151588408444,36.226379960403015,35.99660242796347,37.265360944492976,35.36297174379401,31.240618859215157,32.14757534664786,32.040100562377894,28.211148126683575,27.421835259477803,29.802488222301395,32.51891365345504,33.67407016878011,38.78712712954707,38.956139383785356,39.41457180862884,44.78839020883275,45.46382407004735,49.16864028372844,49.0272181187856,49.85327709512968,52.218594202839675,50.57583798502003,55.51687971022837,54.37073162673431,50.08536127040726,53.5345942272588,57.08127091814563,53.61483588091535,52.60148443243478,56.73537947783528,56.48175632402622,52.22519528163959,53.20199048866216,48.57572341479568,50.0192892035899,51.574283062003474,48.39876450437169,49.21682939772422,48.95484041704508,47.10024779773822,45.25429320006806,43.85091807284372,42.82340353558219,40.24908688371376,38.96933501709695,37.46869315136157,34.612628846881236,33.598944171219344,36.3169836783021,33.86994204521898,29.636411345589988,32.585304531705944,35.426176511622245,37.152909689819396,40.74313892634102,42.039609416730386,45.926093907327775,43.23910637026124,40.26017589072562,45.218219935686946,46.08324040002819,43.160486881194814,44.52467245769803,49.616492223072164,47.777331113440006,44.30109735071907,48.06664637120364,51.537876395503886,47.94071799679972,47.27044279637031,42.837890539975774,46.368476929610736,42.929659447937226,39.775863257470164,36.957533832619944,36.271886278398505,32.23405746659648,34.08159812330251,37.13211517391236,40.78479660621554,42.08984085099169,41.73935230514884,39.2165745775928,41.98145428610427,38.75148010323173,35.03124066911156,36.41929594067112,35.23663354213648,33.765411758922916,32.68864116886806,30.472357124308395,28.713916804671282,28.560145006316095,26.198028429603607,25.540435723666178,23.025473632978475,23.51527733877898,24.845540020570546,24.589593097335904],[22.31793370418737,25.657610284816656,29.972042721149485,30.66735535863172,35.26409616051551,29.90027045767554,32.544427588483686,32.45411832841934,30.798970536081224,34.69172451755024,34.486191583453014,34.35162715463264,38.82639246278167,37.70005994833654,40.24663523617431,42.32592219114525,43.97156397199719,47.88455862131694,51.69487773904035,54.058681386670116,57.85354632475205,61.82522809558152,62.79776904429527,63.3739505583509,60.23268606434757,56.239743710193125,54.188955751402204,49.82999296988946,48.584662177602056,46.343558199240235,46.89472379828025,45.61721244264744,46.639188153120884,51.26458173350193,51.04175074173988,51.50594819785871,50.38905902766376,53.75854829972745,54.76342823199633,60.261998077657175,59.85578830142172,58.73075844059249,62.81201261247442,63.856579079389235,66.40420848230292,65.64317414860363,69.51236198956346,68.24849578902891,63.93661769102725,67.48214020748324,69.26328495806914,69.36477663012738,69.69267271907313,64.78415321467045,67.13474148946518,71.12184062813814,68.00328019083746,65.46378308608385,70.13666203890003,71.73755245274072,67.10524103988595,66.39741954617567,63.147390564094096,65.81352324553657,64.89640967181221,60.80697133198917,57.481605837258996,53.52249824149205,51.49482759246397,47.56804821235016,47.608786314867466,48.792009637223615,49.66399640873151,54.31049561909474,52.670315276484146,58.01085319046497,58.42292849130406,59.33742772246736,59.66051951607553,62.05317566859283,59.78367141516928,60.876958725487086,57.32973635060957,59.403736770119984,57.9179133555195,55.30211122086105,57.25888255765053,55.47762845207727,55.84981883205846,55.82987716920485,53.66986805244903,54.95556466068101,50.84394778538721,47.801581773306864,44.12422514273904,42.31881089284595,39.30802136223979,41.19482358930934,38.67366312699174,37.087801297501926,42.734168870278694,41.51195863432813,46.20821952169173,44.54845077289159,49.64358891391346,45.77664403282587,47.69012824228618,48.17270701428029,44.035528990587544,42.86378905359851,39.192451671344514,41.35353595129609,37.72490503316084,40.8837661320793,40.61985854588348,42.891976418015076,45.51241239336101,47.76202492051668,50.49382862848599,47.01161987065204,44.68557313691264,41.52271938601949,41.738405280859546,39.55646283159334,36.60136982003164,40.14786040918818,36.92442504794299,41.2875995670477,43.05821796656936,47.029341001272975,47.86087921382249,51.10207434543299,53.4553488841431,52.600069141274695,50.952419220035964,47.341853859633844,46.43816540375645,46.11665821641101,45.640666814644874,47.755529814754084,50.48798005450759,54.754296109340565,52.66419677377721,50.17452105892361,52.38425496112718,49.08971566779953,46.72384573329593,43.90127293227874,42.52238981625337,38.10601178647802,37.26158745018366,33.49369166638667,34.61679882873541,29.614784756204216,32.630298134781654,36.45501297585476,37.819980895741345,39.58686437741223,42.288209650743816,43.78454440953543,46.870089345740446,49.42110535627827,50.55734039379378,54.07804451011693,55.62540904211689,54.845492929714126,56.39578739654735,58.643849939419326,55.553224291775585,52.55605188046944,52.04729038972615,50.266006423540446,52.38255181065758,52.42549384024157,51.982903987075,50.72977381962166,48.69734807044087,52.53272671772686,54.720824448124105,55.01070627971278,56.00022983398721,51.13431247721136,56.28025824248205,59.45489767552185,57.70687978454062,60.85123338927839,59.75055051099828,65.05084573460303,61.812612464588504,65.2275094620268,65.63501217316961,61.83666698336485,60.771162556206534,57.980702178515195,57.36824384786185,56.78985326764977,52.02238383949943,51.361834196210125,47.88189883781705,45.369613626214075,45.409381419246834,42.342860016858126,40.65286307510012,41.25979446142632,40.47902654074416,36.419416225325804,36.69721080646477,37.47175053832013,35.07170947302459,31.543104787401525,32.45055247440281,31.849024909671463,28.113567378971915,27.889076480065352,29.92241968254652,32.917486997853246,33.339507654490674,39.06451846839683,39.010608632424734,39.04278325440746,44.29725903760506,44.593715315497654,48.40492053402043,48.14128166257386,49.1803474600184,51.49210924377843,50.03353229965985,54.99813041502193,53.90963178852758,49.96623738284539,53.385111320066656,56.96524334638467,53.714046465145586,52.85296292396151,57.044378143568586,56.88029019496564,52.73274058690199,53.92427501370338,49.103680428471,50.3747942533062,51.65809099238737,48.20243556182381,48.85138711950623,48.19463144796854,46.58193040918676,45.01761029046455,43.149666800936075,42.016539029741026,39.87702972911505,38.54596357540504,36.602746871358676,33.80388136931087,33.113248906397885,35.37826019940137,32.65572960237447,28.727233319472088,31.730507651126267,34.23563429559109,36.288873856403995,39.7973464831625,41.357605146540706,45.14595304558901,42.43444431485163,39.92954225558147,44.88236855591186,45.695299905295144,42.949195161671,44.642551191437846,49.50883310667174,47.748798096484094,44.65104501082,48.48866027035827,51.778367363429496,48.39580741742675,48.00123327770316,43.66666890870565,47.22495360047675,43.92241356691452,40.45340356485664,38.00016385744813,37.052702330590606,33.22841909142257,35.47722313010557,38.4450104746225,42.07791812449217,43.32986019044894,42.607778955009444,40.32537079950629,42.9011989565509,39.97058679481297,35.927742832205254,36.88531515929352,35.315044674186666,34.001327699758164,33.40174094245449,30.81670179357789,28.779561481760403,29.338242751882547,27.08473104446527,25.73591243641145,22.89012658942419,22.96591872915626,24.170429855248354,23.80450163600788],[19.98654938513741,23.448434377117174,27.80603127592932,29.0565819934749,33.647549522597885,28.648111222276746,31.65529978512989,31.68890107685785,30.57319134866293,34.69918645261066,34.860963767911095,34.64023645375639,38.90859970715625,38.089325454689615,40.86555356888639,42.714502658679464,44.210329946671536,48.32201206211368,52.18759624928865,54.35194704133287,58.24936926782186,62.095914648163784,63.16734470708227,63.584861986225704,60.319508486874305,56.4439180182208,54.17694134798128,49.84772507309435,48.709105671609166,46.41263686573684,47.520581253766615,45.87368304594541,47.163993899957546,51.86584073365625,51.35776057960246,51.78466203940741,50.34409904192404,53.6805094707738,54.48552784572458,59.789789657937966,59.47436317657641,58.71981187256415,62.757560236505334,63.6839785813343,66.30233711324738,65.41053288931886,69.23508471935546,67.95186906008547,63.497965964104466,66.83005986077382,68.73625330920095,68.68860634536529,69.18960152563834,64.31207458884998,66.76669356751513,70.85005875968015,67.8446188641197,65.42607956606558,70.12951143770492,71.7580214496816,67.3091017840264,66.83713705279395,63.700648856428906,66.49691163917387,65.37289237839457,61.20111756792769,58.14285686702192,54.17621394448663,52.303358451714004,48.484505216287374,48.59470286276438,50.061495807605674,50.85217753094749,55.38297636086459,53.589426904313044,59.02110795052188,59.07704580809908,60.04391311393128,60.09156029060595,62.27468655710394,59.751285418732074,60.585949361268035,56.89175846406115,58.71739025215222,57.27037574737206,54.92008804491199,57.172834336916324,55.44665555647273,56.129495577045176,56.328030729142185,54.37471325325812,55.97357908309592,51.87049732649691,48.74199820303254,44.932911725370275,43.426721862413395,40.26278903661105,41.80050707692131,39.02317636536681,37.212485112595786,42.720988206780625,40.96669030904939,45.72406486492533,43.60609872402175,48.4635499481919,44.43353296054,46.048727485471964,46.34024401362679,42.13507449310133,41.20394586187159,37.6371521742631,40.18364301271284,36.850595462322886,40.126939109604116,40.3437704248784,42.59477781530538,45.47048503788291,47.68120136428988,50.818745318297466,47.3864238193603,45.067854845044586,41.778657377785194,41.70515127864352,39.28524112824475,36.10786422748843,39.25044472244706,35.594960321227084,39.939304657684616,41.43131768242552,45.462436792778476,46.00374567062646,49.13961545558966,51.69103625557341,50.99522052776799,49.430992852146424,46.02449974497752,44.86169263489485,44.94574401296141,44.753586556890504,47.02724159506084,49.997478852592316,54.34639108555645,52.43016469444795,49.779518917090144,51.99198951516858,48.82255955624822,46.341188439747114,43.49380736260839,41.85578766239862,37.522386737448635,36.35322400668035,32.929448125125376,33.85629663104352,29.164809712985697,32.55753842631695,36.15073189148993,37.562490834270854,38.920942415644156,41.89703878775244,42.89499397745944,46.01344148190982,48.89900553138764,49.89636608879648,53.41252523557656,54.660423577605584,53.85875902161835,55.115261721574846,57.31534068259807,54.04843161819483,51.25592578386338,50.68226695526783,49.15402833193597,51.31076725556917,51.44356070011837,51.174488514331514,49.89689532875041,48.201597767745184,51.90058846342775,54.019634899660744,54.08307999354768,54.9737020255787,49.924190168024474,54.87947142692555,58.00120069303625,56.392793368121545,59.83286577179466,58.99959826801944,64.20292647845751,60.90992558884493,64.14960539598938,64.33233670206879,60.54861936357829,59.21993573826721,56.3038417313423,55.516763708692565,54.71426322551705,49.96414691633171,49.09627298963059,45.48585898905059,43.10308977136156,42.81814417166007,39.893721141934876,38.37311203927277,38.66854954125686,37.720816345106826,33.87361167460701,34.15082709250039,34.602232564889825,32.18136413857708,28.86770801966968,29.565781778795166,28.743841565067136,25.23862367690539,25.09851070711641,26.78042290242438,29.879994061986274,29.986246188134608,35.8671554523017,35.82952822022576,35.69475760726086,40.896909915628456,41.01917605597459,44.920916269924234,44.77077275540286,45.94218073606183,48.34992875815194,47.094153169174476,51.99962286652283,50.762831191875925,47.01876534600021,50.53300390867584,53.97014000082514,50.74948767465434,50.0753614106203,54.314574389341246,54.00575642450309,49.902264242534585,51.413638959987544,46.47828366013223,47.940198535414524,49.064532146913926,45.492877053450236,46.28292197122455,45.53038304947346,44.20419058270327,42.538660440976486,40.434645653984795,39.54087318591755,37.55119977347006,35.91678984277126,33.941406067154254,31.289449084686634,30.442640382541015,32.432511112101785,29.760739785502903,25.8804355201205,28.619309787876567,31.00438472423115,33.06261819607721,36.62793977213367,38.374336628629734,42.02197360825359,39.150584484806735,36.84459386873562,41.831791765785304,42.46081340720713,39.74084073683123,41.65880967640949,46.34780117969006,44.487784979175466,41.60458778121493,45.54339486204659,48.627505823580975,45.27721714886566,45.08048650084279,40.817628504396986,44.26539761036121,41.030153980968485,37.40087986454019,35.22981259291355,34.25514840157804,30.675306823130978,33.03678229302502,35.9885366339466,39.53704228899309,40.870436455492005,40.01196152866515,38.10024800066886,40.71563551672803,38.143508854434664,33.866807564637895,34.89310366333867,33.136225753721305,32.27954904085189,31.613740419807904,28.62595065345163,26.8142961320384,27.891570501398824,25.217988607724845,23.44507745062034,20.63399070081978,20.551365608949478,21.757159487182843,21.42838828596801],[23.45621623794267,26.98664193919899,31.456444236538886,32.74525905028558,37.486510327377104,32.634707720182995,35.68212685545802,35.75936257589163,34.593097617659886,38.66709952803027,38.757142633593546,38.5571863216782,42.88629024761676,41.96080982455787,44.692035359124326,46.61699292792857,48.139822757818806,52.20025580297713,56.01435292353947,58.26630935706993,62.12327682727837,66.01587529557935,67.02918142925303,67.47190612144577,64.2451234305228,60.32686085206321,58.13396216995541,53.8024726465874,52.67555206917052,50.39834879607089,51.34488730646187,49.78840951134101,50.96260173787214,55.652630135198834,55.256974373579965,55.71893931754403,54.3445460051649,57.6957281598452,58.525006289425846,63.85688058558242,63.506750466621284,62.70535721330996,66.76018874181065,67.68603698963818,70.26424521321901,69.35656936452794,73.1920486616096,71.95945212499232,67.50786165892467,70.85845028070999,72.79144411279573,72.76164840905524,73.25370218842781,68.37875430847107,70.82292795106225,74.89968737535746,71.87080861903797,69.43467198077573,74.12969065951465,75.75222501565426,71.26148024263793,70.72559360244475,67.54966676959936,70.30196074081559,69.24361371862258,65.10310512131505,61.94247872004613,57.98916616764516,56.02768265062109,52.17902964428233,52.22688915831729,53.548663710450725,54.42506033749648,59.006994317774534,57.302429143937864,62.689816414668165,62.89399097372486,63.8197756541573,63.968183342753186,66.21700211738649,63.739587122605734,64.62962842115023,60.930110752146696,62.79069451797504,61.35202818360456,58.9779499316691,61.1918767618241,59.435719118101304,60.064026985179964,60.163796298666895,58.16019995876909,59.62187477827435,55.515204898945214,52.40700619095164,48.67469374807784,47.031692485928325,43.95382936369864,45.588088125443555,42.88654778307691,41.02819598314335,46.63864145824723,44.92599858230634,49.73512973334723,47.62878547064013,52.4863234222821,48.459828566180775,49.99566601199548,50.25365720492111,46.02584631353232,45.16028098832487,41.62998706151346,44.236384628020566,40.91240519844869,44.159338973825,44.33962618406167,46.53683449563592,49.39522193311092,51.54162245438722,54.61974755584538,51.23044614177068,48.86206664117121,45.617410723501074,45.52160014523272,43.17815942402048,40.060089355208085,43.214331002494774,39.57883222915762,43.92965432590647,45.38306014945489,49.44995127672088,49.87773332946798,52.99959818167697,55.60410488181967,54.97573344188205,53.39631603825937,50.01840187795661,48.72703901223176,48.85998074182696,48.63315781419254,50.96974932474025,53.8365220336103,58.224261589291,56.35148245369894,53.74286090619896,55.998863182772666,52.84496921527001,50.36027672557386,47.54463066456218,45.93033726857878,41.590956749303786,40.415629727672766,36.96167521879682,37.79817393056449,33.00239569350199,36.39910511929955,40.077967159924086,41.56164829551891,42.954101912837736,45.940933308534035,46.96707650716634,50.086163225809116,52.966873463828776,53.929247449728074,57.475763793267994,58.690744100185405,57.81053500542894,59.064338144450446,61.189480668712235,57.87956292273917,55.11948795624244,54.602331387092704,53.12810602427313,55.34939827030619,55.51251431298898,55.2555921326015,53.96658018439403,52.26080927268565,55.93697555989562,58.09116236449593,58.14610890790914,59.04543928817186,53.97890235748355,58.90522498236412,62.01410045963623,60.419830395012426,63.895564190443814,63.06290526085213,68.25854505342663,64.9133867500912,68.16095419331025,68.31528601268457,64.55021695787202,63.15785795669365,60.20986984315688,59.38255231388307,58.48780044061846,53.73095539123303,52.79660062719457,49.096828344893154,46.82787821466128,46.339208374510164,43.514899985640305,42.09397878195868,42.16145666275123,41.10419698003051,37.42629354536333,37.609184261919566,37.837211449122854,35.424988198159255,32.280200969128266,32.72147242312245,31.691286689565253,28.467089819783506,28.272853807094645,29.485979273513756,32.69352370093663,32.454788482682886,38.41506000238034,38.600209466705266,38.25037935916629,43.38239518832868,43.132387947022146,47.25375300376673,47.32764970423196,48.743517352746586,51.2594810520407,50.25937725586354,55.10095149187191,53.715169016730876,50.20896401206503,53.828587105882356,57.12044785507135,53.90534141313217,53.42378726075036,57.701535030508694,57.20480594085907,53.13062276468008,54.925385658269576,49.934499202775356,51.57471721273023,52.586293024592194,48.908263825000446,49.76235307497749,48.838796569353676,47.73432123288196,46.097077609350286,43.73453749682909,42.93488828077217,41.15958458519962,39.35309264868649,37.22283649994917,34.676192132748305,33.839607752141944,35.48194007646668,32.73244120746486,29.053932657978287,31.520317894593028,33.63521618518682,35.821553664691876,39.44875735105774,41.47060102226055,44.9453499040291,41.84911945718095,39.87213217661747,44.90776581680878,45.27581204086236,42.57126966453849,44.7796236113555,49.25247472118415,47.16280863122606,44.528202341753186,48.62560785459201,51.42510558719134,47.97594890047836,47.99181581092789,43.77159795243932,46.92086327917508,43.594510030240926,39.86687027889042,38.041712298614506,37.30918104999101,33.946715711857834,36.1267343286121,39.17846991032677,42.61789288479226,44.152146810993926,43.36378289452053,41.72660356737132,44.43702399747791,41.99866021999733,37.65757165316607,38.75090216383036,36.89021044590868,36.189289722282254,35.552229499684564,32.39778361793448,30.660506767651317,31.914105590686837,29.109157528862788,27.175931955433953,24.303582287304284,24.094844409100393,25.15464772791002,24.767337657678667],[23.521017425410328,26.9432658183895,31.563071265620856,32.04069111341012,37.057525448593516,32.130480011920675,34.955053833182106,35.31571399394178,33.59356792417605,37.350017874751664,37.334440842015944,37.554373794127756,41.750500209239505,40.33102607336402,43.17056025196199,45.36008617503244,46.69356649191453,50.631401926849264,54.185491421336316,56.74357571948542,60.437048367410874,64.49670163680426,65.27507629175474,65.71698772011972,62.63348189466908,58.590450885326916,56.669942066845046,52.34191421510769,51.37285178723952,49.37300894321304,50.00542395160062,48.94887651755374,50.128476001747195,54.69563776325056,54.37385792758903,54.609167418401455,53.58471176196268,56.641362518352324,57.51167303841388,63.084823838910225,62.409848824091796,61.394432889841596,65.56950106620657,66.42047695734729,68.79766484423025,67.86325123217743,71.74162812929004,70.71579223063648,66.32851385063815,69.86331408332316,71.87393119125247,72.06420316085752,72.5439444576638,67.58035025258674,70.19548329533056,74.070340875217,70.82480813233813,68.49253071734574,73.22184652220919,74.60500268253902,69.9736287039652,69.39854055847367,66.23128900487492,68.69846829111933,67.6935845081783,63.695168841634484,60.178335554615856,56.33465941401924,54.029270795503294,50.219228820708516,50.02872588083213,51.12628429350104,52.30331219943895,56.93773077727407,55.5808278922613,61.050916711766966,61.4929962631315,62.611698228667436,62.91272345136554,65.24678371575683,63.06170522044307,64.01004512495544,60.59543258196688,62.50782208068195,60.84156521874316,58.3554666901599,60.289629741390186,58.757643856365576,58.96564150824215,59.19514803588631,56.88280623899383,58.1721072415437,54.07350053505311,51.15172203879995,47.36732390457517,45.5686651983969,42.42546621838964,44.62542313428194,42.12933639426171,40.81271902448297,46.28563405719619,45.06494954910842,49.62418161861957,47.84684697744767,52.78228847191766,48.71805002907888,50.622369935263166,50.82404380839154,46.559707782240636,45.676177648132935,41.822278271006326,44.008617037668536,40.35681281931552,43.30430618046118,43.096020030104654,45.09828867080229,47.82487382933416,49.78616181123511,52.644900445689856,49.4167153300274,46.88652729110381,43.779926786480736,43.66901889679065,41.60252046996461,38.764662150233555,42.24614858870571,39.18771652027037,43.58010336755713,45.37985324491203,49.574499272357265,50.02935885177227,53.427778222121844,55.72764153307882,55.19052648490182,53.230400853188506,49.610281401470445,48.30944831756716,48.02298746192473,47.43324957409961,49.77406411446079,52.23650271948416,56.64776518184446,54.79685114862782,52.388985261882894,54.799419757293705,51.71580095308352,49.23112394220048,46.64375247093894,45.353992382631766,40.997314156455126,40.32783539828484,36.76379560573223,38.15672053207477,33.34792993100459,36.346640385248776,40.0582437172312,41.19001739442597,42.896711519476796,45.49435574135356,46.806211285395285,49.575681671062696,52.231561136722654,52.98438258118699,56.70710844628551,57.99018249013734,56.86223286832395,58.452973529695235,60.449312107394995,57.27859625207691,54.31975380873606,54.019711706096174,52.386451378342805,54.82095133483724,55.10300711775053,54.87201806921739,53.82874249844978,51.86036612401458,55.86551603490714,57.82095197502865,58.12252885822852,58.799926760500924,53.963237059759,58.98310280038817,62.04707493566566,60.2094899522177,63.45307974327592,62.34578853207559,67.56361618702552,64.04747120571041,67.48711602959551,67.81233163522802,64.11568655566566,62.90766992765791,60.085024307024604,59.48400397109434,58.79366765000136,53.954289954522366,53.3571635424698,49.730976118905915,47.531213480362034,47.452190455760004,44.66855436904705,42.8691647060959,43.0723420301935,42.44779293498798,38.51003637284808,38.247132817320825,39.016308089188215,37.022985945221514,33.25203183405283,33.761169450934595,33.22807321366541,29.795537674873437,29.06871230617666,30.714893921354264,33.679173585308504,34.20383333465069,39.60735303421984,40.009032659711174,40.090310251982956,45.384544787911445,45.53087867744948,49.55300429404808,49.69465767937552,50.89443395428776,53.4406107154472,52.207099350639325,57.07261737584397,55.67712526780059,51.79242640751761,55.42523397997714,58.745362919577886,55.31682787148674,54.641529263208575,58.87262616017547,58.3333194781723,54.12769792544378,55.64791170974481,50.83941470127776,52.57997796312121,53.88695764484895,50.47069068634423,51.422708762842376,50.85831127713638,49.43807683889404,47.592585585590825,45.69182886759255,44.880368761914404,42.674203024982965,41.009451767460405,39.241298090374265,36.561092422345226,35.50518660440407,37.65284143751634,35.08184708111891,31.06620304606551,33.635447978402034,36.111761126908505,38.03819504778394,41.74821912315677,43.493840583161855,47.12765802882798,44.08585709441887,41.61289419841154,46.67947028339049,47.152982890473154,44.26382770105744,46.12733014037331,50.881642780119556,48.72875385382379,45.67447366030461,49.7068923559017,52.73566291464257,49.051521805144525,48.76479536350125,44.408243038294174,47.555104735057,44.05441363235197,40.64138878441917,38.39598781610661,37.930004605501814,34.2740472184321,36.05521483895959,39.22686652903739,42.72610336151289,44.31155258210142,43.90759985490746,41.937183669442746,44.82510764943395,41.99410148948009,37.977394683786564,39.42564340428767,37.93587283397674,36.935764844857765,35.91735307488415,33.17213010560403,31.55614874202339,32.06877544901751,29.27089999221287,28.027163066698954,25.348326340261135,25.545166580885017,26.76147576710999,26.45858878463353],[18.524677538110133,21.91418105129793,26.60107733960654,27.067289631163437,32.18288013245382,27.602330239581658,30.652051777375345,31.367687431003468,29.914754193573287,33.7272144402354,34.13542351910632,34.552269557397985,38.337933112664416,37.003147655745316,40.23307631239722,42.27697340763193,43.264816078570284,47.38916715177222,50.85719192588205,53.32376876743267,57.05277542691449,61.039523826260805,61.813376658286415,62.04225480768139,58.881166775420795,54.92669185150379,52.88353115591252,48.6019640588723,47.874762305131604,46.00108488044439,47.19916264866724,45.99510159516707,47.583930572046555,52.15430204737986,51.45905998796742,51.45892887446964,50.24807691839494,53.03112744499377,53.666041730218424,59.145151630961095,58.371499046583025,57.69467405263792,61.88501110003015,62.53587281005309,64.88621091166088,63.78332341893825,67.63261504576033,66.69163287674976,62.17051706997701,65.55644001108992,67.7582748044244,67.9096532670881,68.5956684998607,63.61371735704599,66.48725358650191,70.3342622874647,67.09182483632392,64.99832136374991,69.7902519023803,71.04143668922055,66.57117160274728,66.30482784812497,63.3139991355868,65.77168574482056,64.50215297753132,60.48378933391875,57.119847098903165,53.337837562127994,51.04522258310634,47.41774643486583,47.1904386992221,48.58698696036528,49.81033583507549,54.29914424952847,52.93551187142032,58.600561325555795,58.67027152199377,60.0164652446238,60.01679236024033,62.10482078266508,59.78807313559823,60.41917750372264,57.041928992807506,58.65840592651241,56.87100585892237,54.652510315605795,56.77200370123323,55.49502666780135,55.81864952780188,56.475924388629416,54.23516124391345,55.880397254042485,51.8055018694469,48.90053180404876,44.87004483594851,43.42272028474593,39.98998592859093,42.10679934840791,39.407398309102405,38.26256605229358,43.37005542386292,41.849860443285806,46.23929620585443,44.146383375209844,48.81945853360379,44.54250606341629,46.39848905371106,46.33821661381889,41.99931104063745,41.36688892430788,37.392883125858106,39.676976518094065,36.153616627666096,39.02012097113526,39.140151590307674,40.99889872330402,43.95497628414484,45.774817935125476,49.02423633025766,45.943859348426,43.3414781150976,40.14899559007493,39.67847977473146,37.47207388074781,34.536310431075705,37.743464231732474,34.59720153886752,38.970700051098696,40.708906440701256,45.0339959598396,45.21530456425697,48.68784501358898,50.95884748491066,50.65036552792664,48.52193218679254,44.96991283155225,43.42299058906815,43.2939899525724,42.81049748438814,45.307728065390464,47.83794704374469,52.33802326469602,50.69384330109358,48.20567083758806,50.70033519527773,47.8194500977066,45.19753573672452,42.737446119007004,41.36172743557559,37.118033276012866,36.45173992813755,33.27246910984816,34.91196806391452,30.57757691342483,33.69209093578872,37.06715056278211,37.9314584479942,39.34588595289906,41.963877892575844,42.851425207674,45.38211960606189,48.27958491416962,48.724150585860215,52.544204072059244,53.52155906527796,52.23911759812167,53.70871946269263,55.59697776600872,52.34167256879541,49.475870688341175,49.220929070653604,47.754245159003126,50.35155598668948,50.81341342352414,50.81135916490568,49.93377617815046,48.200252477924145,52.28635025078004,53.97551917974149,54.18492482181462,54.563676878566454,49.699099962039476,54.55190219838069,57.51565576989316,55.667348704616586,59.07684569688238,58.10266201398131,63.214482907411025,59.54207419684102,62.89840636058384,63.08343640648993,59.449304228377606,58.09110387378248,55.230288091344974,54.607301991081364,53.85209747462089,48.99401156717768,48.44007296950842,44.77883328358771,42.741211567694315,42.699598160262916,40.091658897621905,38.15669652764926,38.20942090192023,37.79448556499566,33.85753947871142,33.28459089620613,34.210387404242724,32.5563471245188,28.4925289086504,28.92952299478433,28.658525429225723,25.25530719480667,24.214796035627888,26.015479352784688,28.804706102990075,29.746545879696225,34.79908318895251,35.2548298588752,35.59532605585106,40.94332897391281,41.36906443441801,45.28641163246006,45.50831410549867,46.54641659310971,49.14987558649791,47.84945225275497,52.66399835868896,51.17367158047524,47.12327058906239,50.80461023516516,54.04085086664429,50.49510597206031,49.79114190326331,54.00083163345579,53.3679165218651,49.12196914675268,50.644768795006634,45.89780475676778,47.84019347752158,49.237286871063816,45.96674399431437,47.12976460606831,46.838840845177536,45.40816451705125,43.267991428831415,41.60812327551206,41.04666926407913,38.576291519950665,36.7602065237364,35.359213984147154,32.73673544627759,31.31207493613789,33.690021631046136,31.418172758258002,27.162287765818565,29.56509451577017,32.289455447297875,33.91001322706357,37.679581748042054,39.26141296390268,42.90921237706589,39.86511515880593,37.08270016838169,42.14146641920725,42.61467302576765,39.62785471828163,41.314854641906,46.1597213352604,43.987533731869064,40.747631246256624,44.73496264716023,47.8445324319773,44.10151764218315,43.69716300218208,39.321469683917954,42.50659928308794,39.02365607683695,35.72806831913299,33.31174036256072,32.87928608022087,29.196344699732283,30.89234001971396,34.055977847469634,37.547824996220584,39.14266440327266,38.82543998877302,36.90327742468358,39.906598054206576,37.14910130570013,33.17085045556308,34.94506539526172,33.60851021391642,32.848802862532374,31.42866850463638,28.66097324932236,27.423961111269033,27.829090274603516,24.634553939082657,23.573227153127533,21.23053487727244,21.65612795966205,23.0237103070242,22.854294526706905],[20.793742692864065,24.27125057977309,29.142279092776135,29.88795923321672,35.2661186555765,31.324263876274824,34.6723477144144,35.69509464827572,34.510078442722886,38.33377156025947,38.97958619806233,39.507405792549584,43.08812617515756,41.72910911249903,45.17340052286197,47.185384692550564,47.95481750466397,52.15691309905448,55.480709499530064,57.9831441749641,61.684437315721354,65.66543115363484,66.3468098538165,66.43750608771708,63.256351691664406,59.32956429974895,57.28319269940464,53.051561817150265,52.53921451322958,50.770870209291594,52.21266913034016,50.96678830703384,52.69533026865891,57.274867918887665,56.447297033292486,56.33907948274664,55.03267043440908,57.64145073599419,58.10119736057086,63.50474674482598,62.62363965289285,62.19845392122952,66.41261715423272,66.88273934251325,69.14802954649402,67.85466512524573,71.67788788896033,70.90116996589991,66.25933718593005,69.51249840405474,71.93211943510005,72.05991299986216,72.91509460672987,67.95216571799766,71.01704203528583,74.85083491560684,71.59799451276106,69.68360368790873,74.51005447512526,75.65082901443466,71.27095470051879,71.17371807694755,68.27053556695411,70.66615310248828,69.27541879178084,65.28416520644478,61.91631050264952,58.20379689708799,55.80387105774872,52.28550024907785,51.941612294856455,53.35165384924892,54.736766540190864,59.18143081175852,57.93431105601545,63.67696065208518,63.66001744590362,65.11066788308533,65.00966288402968,66.98686194850698,64.59920224782176,65.03627211188507,61.64072685944336,63.048400695296934,61.19670826803501,59.193237610013036,61.447496297045824,60.31437934819661,60.699212518851866,61.538827447094036,59.30853379956936,61.03714680003977,56.97013385408635,54.08754617174357,49.989984380053286,48.61106364440926,45.10287327807342,47.226915266814785,44.452516443149236,43.26039377235652,48.29243307440207,46.49867569032029,50.89109871895651,48.478897769052956,52.90667950679672,48.45012434682194,50.050754885503196,49.695883927735906,45.24972034789764,44.9772128358581,41.02583457228135,43.58999003881534,40.265903266713224,43.056873254523424,43.47310282917151,45.132937027765095,48.2701557340089,49.85612132748135,53.35921750823036,50.48713868848868,47.76762349498357,44.57689810984944,43.75389795336075,41.532898232352025,38.58883226176457,41.48469237257887,38.19320753832844,42.53952431731194,44.07367928657777,48.55898750321459,48.25997154976718,51.72583636020529,54.11941026957411,54.144383443312975,51.89054846004478,48.507999654444035,46.482155077080314,46.6768797457611,46.29274206267763,49.04367256717707,51.48276266987782,56.117858445733624,54.7547153006696,52.25317276575314,54.875573654169514,52.2066154722148,49.46301398732677,47.1425470447508,45.676620667586135,41.52860176088271,40.74878462255098,37.848178146839246,39.42619264661916,35.25795411446151,38.587249769205904,41.85433158794205,42.69682830710518,43.86786049416271,46.60014443524053,47.11844921425762,49.496121049871434,52.637232529026946,52.76601415432724,56.69696437606772,57.315977363263855,55.77150925975833,57.06595361612608,58.71155446980199,55.27983013890046,52.61109087913079,52.47768542545457,51.30567389140397,54.13698409400895,54.80763248348095,55.03493234218966,54.24699782062885,52.7487429672996,56.81311558718253,58.3589029418625,58.42912681887742,58.58464414927678,53.62960192611638,58.25527045323662,61.10367224293452,59.30765622480097,62.97537055280443,62.16566675198722,67.14666235341323,63.26412617825447,66.51432539844589,66.49679063721861,62.950650470152006,61.300895065521296,58.32663527720282,57.57077656999716,56.53800789752171,51.66805345021025,50.97347858849621,47.092280346019734,45.429751369892465,44.95403912355915,42.702107342140906,40.896237180666674,40.33116909779041,39.8286676145046,36.264721163595965,35.29320010597825,35.8211281023393,34.4398206347229,30.534976165054637,30.37601926371685,29.849648799428543,27.055683735180743,25.729774739048025,26.623590883538174,29.515001427711223,30.041907906203523,34.973407998257855,35.92862576685119,36.03475748736015,41.28959329332412,41.25156511645429,45.48887128997687,46.24168225859414,47.632629604393244,50.52063821209462,49.68329536330968,54.32726014928603,52.443674147728146,48.74218015118328,52.683368093006735,55.53832952955221,51.91256054930782,51.595648273331605,55.86797076598151,54.75975936004977,50.54821600161921,52.69261127044217,47.86898018043623,50.35264643761622,51.57203570352423,48.194420019340114,49.678939850714755,49.269072048580036,48.29250037287188,45.949141710744605,43.95079239006863,43.8065082466155,41.55182976694503,39.23414878144015,37.82448180700595,35.45519450516163,33.734206824036065,35.601814429924346,33.42928351777037,29.36036399190798,31.065729369644487,33.48166121110426,35.08759193142754,39.04671283375119,41.047687360647764,44.35578480661535,40.84763588307338,38.46728550657987,43.624414228175404,43.55692422317789,40.516424430394196,42.66663016618651,47.1332866285354,44.46631248033239,41.60159283185534,45.88071400415547,48.45003039686227,44.4644669833722,44.42791815106107,40.15192028097698,42.73446419080779,39.10241518141784,35.67341970632551,33.89960343691966,33.97145473418266,30.789617707181293,32.09584541173412,35.42106754675895,38.640298195606924,40.64959134536083,40.50709405812161,39.25931927457548,42.52114166430571,40.17982712295039,36.05440078094897,38.17848214661833,36.70378226269615,36.50914408591322,34.882805580351274,31.671453250370927,30.88056562042136,31.713459876514072,27.92879321037425,26.555640792068296,24.302977540931106,24.66613654255257,25.81768705491068,25.68404252203765],[24.231253972043163,27.566617465228923,32.47402780449526,32.462728409842974,37.99776328003378,33.876731943151995,36.89605174038999,37.99857902687363,36.2213068877288,39.70016842588787,40.06583452051203,40.866570398668784,44.484077085563726,42.65452811075306,46.00123874258245,48.297072581653865,49.04416793920115,53.028351888149075,56.131532545813116,58.943154397473606,62.462951987864336,66.60879238503303,67.0789335761992,67.2548956557205,64.26106466037267,60.19119370421972,58.45996774447285,54.23316160892546,53.76223319137906,52.1938453122787,53.09469104999572,52.35951588728326,53.89390355782596,58.3427940961011,57.756987819041775,57.55782927439443,56.65142135285545,59.11175778934122,59.71108854892545,65.35238001286677,64.22359760214502,63.45510857514289,67.7548315679567,68.24265891250934,70.32787273077817,69.08431509891004,72.95759907494144,72.33574468765855,67.81626558728752,71.30631246611304,73.70595078559717,74.03920747831182,74.7969260219348,69.76809737521991,72.8587807226094,76.51563416836123,73.07387422578634,71.15184059440597,75.96912071155187,76.95145287289367,72.38448667507825,72.11335789028888,69.14715261368701,71.27619186530102,70.06169902295449,66.22581651882983,62.47407795494068,58.85599858127275,56.147418102898996,52.60678020768798,52.06115438533559,53.12006262616414,54.75782937188821,59.28751304327966,58.3703688132912,64.07326247108747,64.4404821212186,65.95211278185022,66.12471661339956,68.28305788165997,66.21944568538314,66.85178326429039,63.69638159778547,65.27645989135578,63.293722188530126,61.079852513431106,62.995510348645645,61.94527655187189,61.90848830695835,62.66021864556039,60.13569771361966,61.5400133990255,57.49091237181658,54.77922003822145,50.77505751707265,49.110944939574765,45.70487871122058,48.34216121174566,45.8529645553376,45.034801032278445,50.09706213040619,48.86596347198175,53.1091414961852,51.137048892936384,55.74193731149561,51.3641854979134,53.290377165414135,53.01882106783275,48.60101919631727,48.190360647837466,44.04650290275727,46.18629053367333,42.54540112408836,45.081716914462554,45.00451083650519,46.53275488816725,49.43252459447679,50.89342904207424,54.009874634828336,51.24271530402871,48.414911298454534,45.41183339604562,44.72384039952948,42.84181166008783,40.22462351514416,43.50969150575209,40.78495532381506,45.15795309046602,47.013493545512475,51.526977091468254,51.37635356792687,55.03044010429992,57.16184331450611,57.16197152812234,54.66398196580044,51.05116263987095,49.13477078268819,48.879700535416895,48.11403890086491,50.79375250797755,52.81239107100134,57.413714030679614,55.9941016674713,53.724518766486234,56.44069719668446,53.76193694869205,51.09323312699996,48.9360534197085,47.80425044623895,43.61866087720723,43.2728211066694,40.12499412420012,42.027080469715756,37.63866368261358,40.57619723018166,44.00783262825978,44.68205073145966,46.24498460323723,48.621189291805265,49.577855791805256,51.74895023225097,54.56649000534192,54.64341513804152,58.67249971278676,59.48008544525241,57.78445680509374,59.43191855663323,60.99435805196377,57.739647521789564,54.86280922885608,54.91395602262126,53.533716970495185,56.47397648884585,57.167146713556804,57.31249757612933,56.66530011571122,54.83623034651648,59.13394980467149,60.62157758757237,60.94811104065627,61.04587177462266,56.32502882830778,61.08980772268505,63.93436066279376,61.93757996470814,65.30981306932904,64.20210465384754,69.24555552098954,65.27741585846854,68.71806528644228,68.90414671518535,65.4180557324963,64.00120830999478,61.167850832853915,60.62505185831212,59.80607135797918,54.893563392470675,54.47628232976435,50.69917840320669,49.03298831642918,48.90078998822401,46.613434041207164,44.5602810479515,44.194640819346,43.97186536609324,40.2152733131568,39.0192521358265,39.94452021745333,38.766620185422624,34.52330280521587,34.47107424194919,34.259523274321474,31.309940190403438,29.707928642445818,30.909588789712718,33.607067083978606,34.59421466221309,39.129332776936465,40.23463701501925,40.5890673414755,45.89464030326464,45.99678374343681,50.200145659729216,50.98982639758658,52.25889669676947,55.12029437774572,54.119214079353526,58.79139465504609,56.95257727220976,53.03247955078135,56.933601232824515,59.83763940530459,56.10641639443857,55.63819794629579,59.85582305442765,58.754477073642974,54.47387332667557,56.3625952992438,51.70455944335042,54.16374347890904,55.589198959180166,52.38478715318301,53.83553739802812,53.59623789803563,52.36277139766314,50.00744312630822,48.29202444805829,48.00440071768315,45.53330144336326,43.43794029208093,42.154127529109935,39.661720749159926,37.973540915020145,40.13544685228968,37.97503582226775,33.79316192101979,35.67843493025923,38.24319518679773,39.77171659898893,43.721307991398476,45.54753479271678,48.96297854343952,45.540297412866494,42.9105616310235,48.04958916830033,48.078882291540154,44.9562476646197,46.868922549411295,51.4973702061388,48.80994478631697,45.69222638427622,49.89592062779479,52.60423939904619,48.46668890492663,48.21840549708098,43.87191810323087,46.39798271477686,42.627648654833024,39.486476714836776,37.43830189556445,37.74355245615644,34.3564738965713,35.30618491833194,38.70200750966226,41.9353369700413,43.974119915079044,44.145992269107694,42.59143523548119,45.93032103065666,43.23013714051679,39.409640364311976,41.663604400251714,40.45484150976624,39.86991235016332,38.13238840558634,35.337309459151626,34.469080056642696,34.686446355758186,31.165618944538515,30.319404752362082,28.163865844039872,28.6410886308349,29.800717316022297,29.538914404440654],[23.02389370892398,26.20411998352668,31.05965614661839,30.5835144773568,36.136974586535004,31.878064995737567,34.69628537939665,35.88849991688985,33.822390050284476,37.11332488377165,37.416210621299726,38.418730820809245,41.9417014759111,39.89815259116471,43.272717676758646,45.674561837766454,46.339149491269396,50.249622232959396,53.24581174372054,56.17487295171742,59.620923425220454,63.831494148039795,64.20752604293554,64.41631563489304,61.47868988740197,57.36079261244565,55.74968020849011,51.5280948763629,51.10554275095244,49.66407648487244,50.41677535361784,49.91783514104253,51.46352916720126,55.83302621677903,55.270250562591585,54.963926608065364,54.22844134860959,56.55397032301092,57.194296122615036,62.942594557196934,61.689286984871636,60.78687260536924,65.12678122147331,65.60806406026752,67.61823177657573,66.40047100455517,70.28839428229398,69.72815139821222,65.26999618715763,68.85546260159742,71.24037509128623,71.68700701043448,72.39101838085392,67.34279039621588,70.48095024283973,74.03586523056222,70.5038759126307,68.61142767596755,73.42848424742378,74.31572124519755,69.68524595897225,69.38630224679927,66.42903903728431,68.44088022836156,67.25094651180363,63.47850341424189,59.592017599882254,56.02170061892539,53.18653870727701,49.66848117741876,49.03407780242985,50.01785120115668,51.76121646000054,56.29540907800224,55.51502955600832,61.24307953322559,61.69748683720566,63.296545286351645,63.528613545796546,65.71985552813058,63.80327341084934,64.47777561354447,61.474927873283505,63.10566404813333,61.02229901969946,58.72837258989871,60.49126014899523,59.54330297793185,59.30495648957742,60.119168789287734,57.46478655001984,58.80739319393926,54.77647594777287,52.16302093952076,48.1360873003447,46.43504168481285,42.99399379898951,45.87899004722509,43.49906170018252,42.98282609568458,47.91698617622464,46.96114868742437,51.04130866921131,49.27910353298115,53.92830723858462,49.58982511831884,51.74522768647857,51.506022542958476,47.11456513988779,46.622737636878824,42.33332803353102,44.19167666588481,40.372455253903674,42.761974466319316,42.45039403536559,43.91307918603823,46.71349111218537,48.127461494891165,51.10089642643637,48.38188427442519,45.51223955219184,42.577084460231795,41.939558479049396,40.18956640348334,37.718786733308114,41.20039817788738,38.82065018794221,43.17978150141303,45.243976018391365,49.75966868434841,49.73739609859605,53.51600376984013,55.457238506699944,55.42490208684112,52.774563198451666,49.02561762075237,47.226463257106374,46.6945426554283,45.742062950237354,48.35243720984789,50.20324966528838,54.77238565968903,53.30648612805887,51.13533919901489,53.889520415121,51.21673743930887,48.57619196059994,46.51601729486628,45.559449160529695,41.37674377176515,41.311558945538216,38.10515483671952,40.30861774514616,35.97141671812572,38.64786728891527,42.05320374615083,42.524285448607216,44.255429226937494,46.40494402288441,47.54182552525462,49.54958356951179,52.2078555436495,52.23908349661631,56.31715721020608,57.22748611893437,55.48133475526348,57.32243497000336,58.8876598725778,55.750563701906586,52.73565333510082,52.854600000546995,51.33200830224577,54.310701055847645,55.01681822749511,55.13452874560843,54.598762430681816,52.61942015184586,57.065541431595605,58.464257252018015,58.93402563990661,58.958068367233885,54.38531794058154,59.22534542629951,62.06602576213261,59.943429363970154,63.14363766155124,61.87250274862602,66.93122879730512,62.95104618247062,66.50393811150798,66.83189783229739,63.347418741531214,62.09337666872989,59.352405376463835,58.95229528933669,58.305700505094386,53.374679433536336,53.16422437564654,49.49547701535782,47.76963184310707,47.9512925996712,45.60232765119376,43.33730669279133,43.198149386407,43.21247356483899,39.24815069675711,37.94397764239001,39.23584332686613,38.19643539073809,33.621896236259445,33.762591391192345,33.863975284208095,30.664803746497466,28.886251751904148,30.54904015281885,33.09751487062932,34.566653223472336,38.87620461431237,39.91614887093415,40.550331354799795,45.95725502867773,46.48252298081921,50.46722862037363,51.087327706521954,52.146925166968785,54.93630421385497,53.68978335788247,58.40572317728498,56.68723493685034,52.47748759471106,56.30551827358229,59.33114040411211,55.52038686361577,54.84411785988252,59.01065328561824,58.037571581144995,53.69292161755443,55.258474970244606,50.724626988353286,53.07681687387516,54.69100564444566,51.65577710833022,53.07314085855658,53.05439651331678,51.55303500005904,49.14041747381855,47.754509731837445,47.37276582856215,44.63756858860255,42.73232051083653,41.65040386769503,39.048410538640304,37.31477346922966,39.84661526484369,37.770627747678176,33.40662396337474,35.48295172427576,38.301801649265755,39.696536720644694,43.62638052081063,45.19278989269305,48.77113534491465,45.516517410680834,42.53126576618543,47.642562621587295,47.88342878110971,44.69551665750448,46.2956596363558,51.166380702709986,48.61234128659154,45.181073937237805,49.25338403658718,52.242272240452294,48.08807071716468,47.57180512611892,43.13905725437882,45.874266539129145,42.07934930293777,39.123868107478714,36.6702949532944,36.93126354510798,33.2703623078068,34.15409761622368,37.53939838260716,40.880994921024225,42.8053107514173,43.100440647209666,41.20283916793021,44.542924907612544,41.555797747484704,37.95592527117054,40.29374836629572,39.30360099224307,38.48114926823361,36.593558492247716,34.10892773452538,33.23131385926024,33.01156023044481,29.630046283811726,29.209781549680848,27.13492415527902,27.90801653487967,29.208023290959613,29.120523453012453],[27.265811404356633,30.382534629017243,35.19265406560997,34.417501100332345,39.95052447093506,35.534268192262154,38.103036562181316,39.19873357944459,36.78203073853998,39.84097459708456,39.84964788277914,40.91875145962672,44.563025562747576,42.25952308374792,45.41357014331639,47.99904448957583,48.76391382128939,52.45819729776933,55.33608174249461,58.45402457059574,61.7636336785547,66.07171893423619,66.3309338918929,66.64314403296382,63.86218780586613,59.65809613935388,58.27510416938444,54.06742401774286,53.589249035163675,52.22496463663056,52.48396323853507,52.32025643103626,53.613412295261824,57.87923218919593,57.58113123313475,57.30500098614048,56.85410035503459,59.1788757789918,59.96895203435027,65.85136390119202,64.4974341771829,63.29906345353068,67.66439517032492,68.21908609818074,70.12775028156682,68.99592045998125,72.9093169160355,72.41416319090385,68.07625980330806,71.83052134693719,74.13682875660906,74.70122116232199,75.29430575742613,70.22088050034158,73.28491906853188,76.73607708911663,73.10889757886913,71.14056870296261,75.91696263250076,76.75525564885928,71.98267109537554,71.48274947107886,68.44229765414858,70.29250323842226,69.29985813948096,65.63987039887438,61.49960722522961,57.983959887913066,54.98241352072794,51.41645408108381,50.67799985676531,51.33727926728834,53.208456057521246,57.812055052703045,57.235789590266016,62.843653091505914,63.643847861442715,65.19375244495328,65.68228554110163,68.04934384115964,66.36347531283113,67.2476080317186,64.37526428575521,66.18466236631465,64.08029851095019,61.598579675893255,63.10781225077018,62.12356595774027,61.61527752440669,62.233199177684604,59.40172772188667,60.43001785042704,56.426880543392734,53.92362824715002,50.062824593409694,48.09658372884647,44.84380329134296,48.015885580288995,45.87803987473383,45.503643554348876,50.53762665667712,49.971654465049504,54.009807868525535,52.582808576517685,57.386481568797535,53.173934928860454,55.490528675518455,55.376720995464076,51.038195693126085,50.40265365683166,46.083420409256306,47.7039054625195,43.71882563173256,45.993716319102546,45.32270210416526,46.75005469167318,49.3196855955171,50.70255572709747,53.30530718611328,50.616797383189535,47.73226846651314,44.96297780791311,44.5265268741184,43.025333816856644,40.782732757724865,44.51887269397774,42.45615843570698,46.80384199988556,49.02574654923448,53.4902664140105,53.626891408075984,57.45509038728736,59.275922690703666,59.15780996532557,56.45443228037082,52.58654704874889,50.932291255100736,50.13004646330971,48.95577521490851,51.45902399732667,53.049580509952285,57.53843687557662,55.98533607874945,53.982599357138994,56.74253161879351,54.01383317898747,51.47679114896973,49.47345755741071,48.72276041636142,44.514542982444354,44.656498708449575,41.2334567041007,43.48498118215672,38.93338325088587,41.35486542846765,44.919066517846694,45.391780979837606,47.401884030062114,49.353661164312726,50.84269761292592,52.818258456029604,55.215409634478235,55.322282041555965,59.39830201855243,60.50282965150376,58.73547302531873,60.791192422228235,62.34190294891482,59.33482319038594,56.198905941341216,56.396683946578264,54.72351741301916,57.69013691530351,58.34452096732677,58.343448369454315,57.825220554294404,55.607161104603186,60.12411168146161,61.57994308480403,62.208490114677105,62.30433931139991,57.8741582651618,62.8204472545125,65.68205335486746,63.47040685731222,66.45238141788253,64.98750591314949,70.09408855843576,66.13452989175207,69.80142668144043,70.27289917878292,66.81674275953121,65.73431508518438,63.08637407768816,62.79935048765958,62.27933774034002,57.34764821663367,57.25090512165637,53.65057427351144,51.87559599665899,52.19282555389314,49.775108794495004,47.45874060771272,47.45495073037548,47.51326704415378,43.48145473318825,42.1986359793613,43.59004049960891,42.515304606759706,37.930199056570245,38.13595847693644,38.26133727655089,35.00819871287603,33.25616543504281,34.95948801762487,37.48163741482007,38.967856098046596,43.233301359270435,44.31741874005793,44.95546927158923,50.35568571397061,50.799359735262335,54.836008782853675,55.45925479377661,56.52421230970572,59.285467099853705,57.99415889387203,62.7392340446432,61.065590909987534,56.828241854092276,60.618862166211194,63.689252488390274,59.87551463901991,59.145177652920324,63.28959989628294,62.34993259089458,57.991490230909584,59.4450073128901,54.97232857115144,57.24215744366135,58.914049744157595,55.90804850030825,57.23733435416814,57.19913456436764,55.59433850137325,53.280568379517696,51.93411842676303,51.40622981339517,48.67418144287353,46.9179154226103,45.75997291495459,43.09222166194492,41.5049469411107,44.06640581400677,41.89175768975328,37.56320977308614,39.77495542251935,42.55847566466698,44.02961007790085,47.932512049351125,49.488241680542146,53.10223218540758,49.881018322134324,46.909034021082704,52.009940869111595,52.2867208874015,49.10205660046177,50.66638553318195,55.56405731602284,53.00517394278402,49.54199752045113,53.59037201165929,56.600661231309424,52.4005876336842,51.84052074949368,47.40196045533418,50.07464205865755,46.23029457646764,43.3757617375126,40.88853396523956,41.23675547035219,37.52757490816897,38.28460589988394,41.67848854245599,45.004476441600254,46.934403902772104,47.33311190877955,45.29747953461363,48.61872356320184,45.46264295876015,42.00244993954004,44.27267264770361,43.34597981505994,42.279997807101594,40.48507726015012,38.19778401488706,37.15481588774787,36.7202336213509,33.61532456630047,33.32320966287583,31.165488074003303,31.85339262301077,33.10985897704765,32.86827324188785],[23.525576289274625,26.423499417126173,31.04425236369977,29.86890734161068,35.244717778289754,30.60890899996328,32.93839960767482,34.03604229165397,31.411114750073523,34.34785247073654,34.333113855852694,35.51931901937471,39.06887423748327,36.699084857906406,39.883612625300586,42.48370037930641,43.205313880922326,46.89018954231987,49.77858976183974,52.884066419950955,56.200364290317495,60.50342068048457,60.786279933155676,61.1178268291457,58.329600385402685,54.12493785867065,52.73901519182336,48.52596986916482,48.03483835109512,46.716057574339835,46.98317927068488,46.89478766211335,48.26650155323733,52.49006906903509,52.129879668044666,51.779991364935505,51.38775824050883,53.64647716248271,54.462202851288644,60.38148589494934,59.010471074488784,57.74696165777706,62.112188403213125,62.69492753030427,64.62176182922579,63.55063162247499,67.47033694636627,66.92177496593968,62.63125370033855,66.4334566772618,68.67745090690518,69.27508894393296,69.82497122566392,64.74082945376516,67.79895646289772,71.21222954203043,67.56676138742833,65.59860313385772,70.37476104747938,71.19319891103234,66.41369722663477,65.92887537986412,62.91110884022883,64.75828522156505,63.737687244033395,60.073439928234585,55.95149714454391,52.43297260133043,49.4522559501478,45.893566194881814,45.17774694310882,45.92805671157581,47.75787286680749,52.34120646096376,51.738538742496964,57.395806250636795,58.12454691454725,59.736942621251025,60.1845326357427,62.52615686589676,60.88734222601262,61.77314945052533,58.988334269190545,60.82004929585814,58.676965573613515,56.14761446235174,57.586439328939534,56.66130509344096,56.083487504768776,56.78953953150254,53.9306428758397,55.031908228864005,51.037216608509034,48.56590175349869,44.63717551019466,42.74766167069856,39.40934850906698,42.668200534038206,40.55975486018049,40.433636179079656,45.28766345758972,44.902656088930804,48.775870204050435,47.51577693521196,52.34410505966518,48.19594021141652,50.71767824613695,50.684438586722095,46.42197225212666,45.65444395908156,41.25526231023622,42.60530222962533,38.49973979385693,40.690427524703374,39.858141241260945,41.310655061739,43.809689484387555,45.25778507311564,47.79893375841957,45.059716018997776,42.19893107055363,39.42335116303311,39.088311422663146,37.611742796000634,35.42597038776962,39.31493206419962,37.48173163129884,41.802190266102585,44.19131477936158,48.58667611280714,48.93889570753013,52.8229291619612,54.47892992430152,54.246837106349616,51.50506582379128,47.53039982186115,46.11120953367369,45.072291029917906,43.80408833813583,46.180526394465986,47.780331645098855,52.20553357059423,50.54503073002324,48.559351658204456,51.284670177012,48.51725619067203,46.01855566876796,44.03536023287397,43.39396349044926,39.20373129909723,39.55449037241924,36.11434620946332,38.62671298230162,34.21553339201627,36.39465460755148,39.86295304139544,40.14416665481393,42.25592059849822,44.02389849572947,45.642335604892345,47.52586498516736,49.7923057719769,49.94462092410524,54.0002295618905,55.23400227342493,53.54929018457102,55.725118257502785,57.370088655066624,54.4895865658501,51.23697748710123,51.40708250604878,49.5769286043413,52.47258835527648,53.07836229423147,53.02191380560278,52.567601211372256,50.24883707110347,54.86154702760439,56.24572318084829,56.97507264497062,57.05103598293833,52.74575321470593,57.761902831007454,60.63630470769626,58.351571440486325,61.17110944975258,59.605202381613616,64.7464345327622,60.84912264072248,64.57976279118171,65.16379246485224,61.69265702936618,60.785262949284835,58.23271904835569,58.06796280410138,57.74756742428151,52.83442574149035,52.91185415792287,49.48665618602634,47.56600391324319,48.255605540533686,45.72082633127421,43.21554620482832,43.57272341863446,43.85817690503725,39.60285662050359,38.36536000180568,40.158970868301246,39.15744098446487,34.31233047099052,34.85699132316374,35.33531074744853,31.769423310868966,29.986048305690304,32.322640538722915,34.632385567204615,36.64018423512541,40.69783226596559,41.5157665373776,42.46861795462308,47.924345971538166,48.84184172606454,52.580335031364996,52.92018936610323,53.64563166692987,56.232124514602376,54.58871870637354,59.38598680560342,57.94062127215672,53.373779906486774,56.989508784389365,60.25519357572091,56.43638626957204,55.414054588609986,59.46773115620897,58.80181007704848,54.41793162829583,55.398587465270126,51.075186395689734,53.075759138881054,54.93942815726682,52.140384998281135,53.35971429662867,53.58196785449104,51.63592569248878,49.31370270309027,48.387093880875526,47.710146087485064,44.682750072311975,43.23102658698334,42.32427313319603,39.5464240671992,37.96904832361489,40.9883856438423,38.95220820966873,34.460712918817066,36.95550915248354,40.04121529035227,41.3266933265265,45.10729020939776,46.26811414227446,50.084565535818946,47.191042514935376,43.79022636598493,48.77558179705866,49.4070678560593,46.21293864653812,47.33868599105982,52.52021553370254,50.28118585841564,46.46110699676771,50.25720465153488,53.670345908947596,49.60069804772538,48.70799398248499,44.21044220890255,47.28404049342483,43.5399552487239,40.878019184068,37.87110651961861,37.9548991621431,33.922331637422445,34.79868995033321,38.06131261880495,41.53607258763431,43.18217062410821,43.57515742315495,41.07985291741547,44.27474115379853,40.827527557054594,37.60657119290426,39.831901899774834,39.165153124841254,37.77359432302619,35.90290743418074,34.04312155491389,32.95013152396988,31.99150201388078,29.200419125752752,29.393327709163806,27.463495414802907,28.370037777179466,29.72556024630394,29.51684482205304],[29.429945030093933,32.22916818248903,36.846733302617494,35.26537600537337,40.71386194587443,36.21310400007671,38.30302407997695,39.48900347279819,36.504916739377144,39.04085142556452,38.789522561090905,40.20556286136807,43.67919716821929,40.90313735510842,43.92382119593925,46.75068574902594,47.405618258327806,50.79614097362994,53.361786897593745,56.7616213250745,59.82422406550073,64.25064858013873,64.27899098321488,64.66375239859335,62.11698270530694,57.82367253340726,56.79674356163538,52.669897848850496,52.27133716693616,51.19174039498745,50.92595421714342,51.350097335705414,52.50015436553978,56.524668045934526,56.417337199435636,55.97680660050141,55.974538528291625,58.0334249076422,58.94542396711505,65.01207150542344,63.38523324177114,61.83841329475863,66.2469225950525,66.80429424208194,68.5008854885794,67.44616712993873,71.37514753846305,71.04049061870997,66.8844361221073,70.85822741514136,73.11509953104584,73.90419972321956,74.39066582913456,69.28889120183858,72.38396803799084,75.58574700058077,71.7776696990048,69.85220339037606,74.5796669420495,75.208403148036,70.29207456833475,69.64969675021919,66.60698168843365,68.13170490057443,67.30093379142666,63.85380931462155,59.36248937047607,56.014104949699174,52.71649959561175,49.220398206983546,48.261864093547814,48.56905398846793,50.69835732596119,55.29508994034948,55.102332666326184,60.632022980097325,61.775177724524404,63.436213155756874,64.1656054775489,66.6599197672974,65.35513405706384,66.39859866303745,63.867285148576386,65.80754526184526,63.55606939552283,60.89448736141195,62.007352760807336,61.18973685014646,60.206706369231654,60.8209099421151,57.695766885258095,58.4234655355426,54.51252101083168,52.26922472631268,48.52444694904817,46.363316471763284,43.22580888850758,46.930471685811234,45.14412972824043,45.32024543015978,50.13494233663996,50.203853291426014,53.91436215334011,52.992625562187825,57.87486438573525,53.80651169964502,56.4948362003358,56.46678751626221,52.238597024868696,51.45500760166848,46.9768803691039,48.0467350455395,43.79866869953553,45.71288346289302,44.50733422785531,45.750643845604756,47.9951919249436,49.22526534113159,51.3557568396202,48.83563897390478,45.894802930732155,43.396334533884435,43.12811901361355,42.03498445206225,40.222567689105105,44.29301715953717,42.93986455715396,47.19836387957322,49.757726438841885,54.15966886371696,54.5067488570739,58.50055661858744,59.96635453997644,59.79757561658156,56.85036660139927,52.769836280128196,51.33493034869789,50.004215962434124,48.430839728261326,50.7653926880678,51.88820497063805,56.2419559634709,54.62319860057357,52.90722359759468,55.713292239846474,53.02740398506918,50.62012205451698,48.856887316100675,48.50991684797185,44.38320066937429,45.05242514864851,41.519146303266396,44.181120258556824,39.67236120930888,41.53930312078221,45.08264770677966,45.24539767999303,47.61473294498302,49.07949302381845,50.98952245307741,52.64602009058232,54.63415757137695,54.66866083712332,58.7875869651838,60.10077562689173,58.22356412289778,60.66102822039845,62.144216483716306,59.407163839381084,56.056244225873755,56.42833696882853,54.51225963268935,57.52955767719175,58.195239523696635,58.11172540844374,57.79681026972706,55.254753209081606,60.00150694520015,61.31056341431597,62.23031723107158,62.221020789296894,58.14096657041582,63.17752610933362,65.99811110691242,63.5717059832627,66.15782721923684,64.3647352457882,69.48204011090064,65.48779725528216,69.3462297982841,70.06319885520936,66.70116000910718,65.93692702963753,63.50015936374454,63.482917763570356,63.26498276182249,58.3513322606334,58.605159191733506,55.218458206569494,53.41184473748645,54.2086180933861,51.75185624854531,49.14570531315253,49.46274059413715,49.88577189035559,45.64090906613679,44.172536279870585,46.07210144931605,45.244657119129464,40.30709431038396,40.73010566315048,41.276602788149546,37.8241047196343,35.85243167014674,38.03029319442462,40.264128193604485,42.35446596607036,46.152431427730676,47.230155417530604,48.23171312168282,53.679102581982114,54.489203044763734,58.332058105377584,58.85813299353875,59.636981803157866,62.28998040233506,60.68713672126355,65.45422140148455,63.92594713092963,59.34377494768205,62.99753161019255,66.18027633999026,62.2798314009755,61.274973699905765,65.29165812334517,64.49361134125846,60.084020021763116,61.06565357454167,56.86048388263848,58.982542888053125,60.926357713946956,58.21096789459433,59.47292378092607,59.74113173078613,57.76074792444833,55.417220440277745,54.55014478340085,53.86682677981971,50.809141947558615,49.38027477005722,48.49451354910314,45.712714770002506,44.13078855375314,47.12771643548264,45.075378870061314,40.607247127831194,43.03079369445892,46.06730744599319,47.35418134239064,51.18015271534869,52.38740237102494,56.16426502312136,53.17927555823694,49.79162495285939,54.7900660511212,55.31210832682242,52.061750820475844,53.19525209814859,58.344046029700635,55.93191936496801,52.08964958734182,55.91801491319883,59.23398445349651,54.9856858587706,54.07543008484058,49.58826665261756,52.38437009353528,48.50658279078278,46.026419072763346,43.08550949189154,43.5029274116442,39.54147363832751,40.029861934678436,43.358219063633165,46.71311375441974,48.5081452265362,49.181621135835016,46.69833011084488,49.99130620666416,46.43264535684692,43.42967676234436,45.79019639041663,45.243024688902274,43.743941760015886,41.80626757002797,40.10658583095959,39.047669621436796,37.86403421850686,35.164429719605664,35.527072736146906,33.619198324280276,34.49923702387777,35.794954302695984,35.47792818319831],[31.175717924257576,34.234325685975286,38.883684192873616,37.917178033461084,43.224486649655645,38.35377843553208,40.54800651361951,41.28380188769527,38.49112499327923,41.35102094391176,40.893393309379626,41.842477862171016,45.78804622247431,43.34660669085457,46.04864015119271,48.79192570941245,49.872995358089675,53.28817545841184,56.19316196740758,59.415636850167935,62.626019974425546,66.99926372838542,67.2422667892588,67.78387699159408,65.14913793672649,60.87133686132611,59.67628167714813,55.45949409166364,54.73173667416811,53.30837989660504,52.902722608883515,53.020977499993776,53.89808371038539,58.0609688106729,58.157926339279456,58.066192874769456,57.909243966492724,60.43378476688251,61.49682410383188,67.49445784884972,66.20081740635382,64.56754039687038,68.90142050407296,69.68153632492107,71.58538745002068,70.6832023348251,74.61935769093161,74.0319407945057,69.90238228330551,73.85956291300394,75.91536955942513,76.5695445780099,76.91652969882759,71.85215737649655,74.6440089736928,78.04385117435876,74.38957384630366,72.18285208288349,76.86826288459878,77.79927417700051,72.84610553004997,72.00074285321152,68.79854534741838,70.58592619483582,69.90064700044998,66.3161397595409,61.990823752354046,58.46381842624312,55.44245053669247,51.73548775487543,51.024507623822515,51.33575943586404,53.15562000887495,57.85865421467579,57.346283470103074,62.708570655120184,63.92708190570816,65.27565997539939,66.10303664526816,68.72871896555175,67.27715772568013,68.51647903851408,65.71713063386464,67.85269539106669,65.83846712746625,63.04296607510948,64.25565618660002,63.06401522982227,62.326520991093005,62.53403348181975,59.582393000436056,60.20640793952987,56.23402661722592,53.800472576689046,50.22520553076342,47.921510624305846,44.993775980438386,48.335318326310755,46.49553300287255,46.15815522044197,51.38579864982188,51.30390184914368,55.3576135949216,54.4082877144221,59.48864046438312,55.54613885715744,58.06213944380538,58.2603825881039,54.04972338618139,53.07855960510733,48.82447835846133,50.15581372522647,45.98113400056423,48.253734111656655,47.12292940621101,48.684403076640784,50.91707423995682,52.45808473970415,54.531988178445296,51.70394317584628,48.93570409555315,46.32198802441207,46.34115069129857,45.05041578442963,42.9899554985773,47.07413846271273,45.27283296290781,49.59932407203475,51.9940002495659,56.27335092981709,56.82779655067064,60.626114277055834,62.34762190593695,61.927263762085694,59.35534405306756,55.34644078222357,54.105739413329275,52.97062920490005,51.6137068578563,53.85036565144166,55.322756954730814,59.634467761492694,57.80596325400618,55.94397014475548,58.58266854985203,55.64281876042405,53.30240611088848,51.215854032530885,50.655949979504726,46.38067633186455,46.67301500011097,42.885165466699746,45.05531025855606,40.182335511803366,42.270106944880716,46.06749236954235,46.662966742836886,49.041015372836135,50.807598724812784,52.829345754172756,54.95840977864752,56.97993792445702,57.424696719979224,61.372633992250734,62.88431127109984,61.323164709819046,63.60566986461483,65.31461170686632,62.50072513686308,59.19003839510308,59.33820636125993,57.38805455483448,60.139696994761934,60.57866675720051,60.30141936487962,59.67396274875415,57.13001345631453,61.624887927141955,63.29331761977831,64.108292185562,64.48693957401981,60.20382303076583,65.36064804130687,68.32378157340861,66.06167476039852,68.72481508617702,67.02995687249822,72.25240391380278,68.49882802778461,72.30144779587957,73.00346434346056,69.49671877179462,68.70766144121161,66.18102029447904,66.01494631483028,65.7087396384867,60.80717316651421,60.79681501964683,57.34841205786955,55.3147048684747,55.85318076255585,53.179347364062245,50.8630848329769,51.24664412297201,51.25510560820717,47.05755389859295,46.10768624029462,47.61377930208185,46.25450711416513,41.75980633971814,42.26085535711955,42.36681686982191,38.85504826928268,37.38473906671345,39.37262654160756,41.93152473142621,43.37839985060234,47.86296167840673,48.7200355725584,49.32749476294346,54.73883117407073,55.211536137343934,59.18499132734198,59.54485444697029,60.534776231072236,63.1317885123976,61.65632734190524,66.50595814818456,65.06955720041661,60.75408257565508,64.38746238491848,67.68227489120869,63.964381386362014,63.057519706879475,67.16860041374761,66.50509550756804,62.152329320084576,63.28138139568483,58.84636301610924,60.741028019199085,62.464347293819074,59.45394708087139,60.50315756968446,60.380336498973136,58.54553640705412,56.50876848854777,55.216584138877764,54.33855890187931,51.650546454730055,50.24433550551523,48.90024226476678,46.09205004713157,44.857732262053084,47.52197625966474,45.14794636791292,40.88845683325936,43.48638679498847,46.259251570092175,47.89918497518862,51.67866221206391,53.12817905625418,56.8848132375492,53.877142402605,50.892881487788905,55.94487100339423,56.464472546317914,53.35370751474245,54.794898719323214,59.81576907147835,57.48056382794563,53.941706968864125,57.87444682220191,61.08786271683341,57.010448615763536,56.338061924608134,51.86960117076559,54.76608338233077,50.971563295414924,48.135537930627535,45.45990816855558,45.59517324323462,41.69075613014925,42.62513968583008,45.9403833395667,49.374733138479364,51.1138741524327,51.41857317966966,49.02853738186655,52.15676089721869,48.73658411141224,45.39553878052736,47.31892485465519,46.411568221897326,44.90188949513723,43.436827698759,41.4404965286375,39.990368257216026,39.34226901109006,36.80865987754417,36.604468087489046,34.26048538198014,34.84473474335463,36.10866286280822,35.72427928645577],[27.774362248060307,30.862261820816155,35.38378555111028,34.69835799254491,39.7718098577575,34.599545054301714,36.78944308109162,37.24501761794778,34.593929178395435,37.681789975061704,37.1871847942559,37.86024699767434,42.0149002848968,39.86999477238648,42.46994315477482,45.08476920592017,46.37946891983195,49.898537906564165,53.084792543399224,56.09437129491564,59.46878941716792,63.75662394401172,64.21126218460198,64.80951791214848,62.04535062931761,57.81966531370453,56.410042896728854,52.130815938324886,51.20385919074479,49.548478583112086,49.28173951494878,49.0893726383071,49.95372586986763,54.23503145376456,54.30037981503568,54.37638751508202,54.02480910314735,56.81213149115374,57.91910239072085,63.8286062019276,62.784344931273736,61.19291725566602,65.46514470367076,66.36996486597515,68.46645899273096,67.65911457576894,71.59121771235144,70.77986068742649,66.63856159254541,70.53730579009644,72.45939414882841,72.98419983586145,73.27416865276936,68.23763228944938,70.86388074977376,74.4184867349945,70.89585078695738,68.54765479996217,73.22552043487212,74.35878603246775,69.44953891872828,68.58338787747986,65.33335659223067,67.36713092491023,66.65934993709861,62.92994715140151,58.84298328060845,55.172664973210566,52.42081436822232,48.602487107316946,48.11464561357566,48.64231337959966,50.178094234537106,54.90819060585943,54.07119808307758,59.424175068445834,60.47409458203517,61.68631535848935,62.42549370649367,65.03466228991434,63.405690111872275,64.67200105612987,61.697141463687785,63.8852649841926,62.01666966815806,59.19286685133824,60.54171875643234,59.16115579505388,58.667415932730044,58.76175923607938,55.98837518577411,56.748574336197336,52.72314587185597,50.124556041906274,46.532060983592274,44.30624818975663,41.36995741807219,44.39493051182867,42.423805481108936,41.832276968837014,47.18669049459238,46.947084037463554,51.141094712850084,50.13779543899223,55.2949624144994,51.42869996846677,53.88536032207226,54.23643753328368,50.07994678421638,48.95715215677184,44.83102246342289,46.256300494345396,42.13843233491731,44.63719552484898,43.60452449664821,45.40377318643611,47.67371669244911,49.47135187483234,51.629402901614625,48.55794357390315,45.92656993703607,43.16684442816434,43.3570708173228,41.85374314356132,39.58255850630294,43.65495698155303,41.57704439625252,45.918665425593844,48.233623201278846,52.39152397953883,53.1541616937713,56.82330924658088,58.6545422862583,58.03195972334074,55.71446186780256,51.74667373838349,50.73037266654664,49.68873161864661,48.509494023173716,50.63975595805967,52.45329851958006,56.72066632549728,54.73212764290231,52.71586178211011,55.21421261240416,52.11359761631102,49.80265577739172,47.49394942909164,46.77653276313491,42.43440904894711,42.517035021587354,38.639631262414824,40.61240417683622,35.66045443857671,37.856345207840526,41.701474991282666,42.46980855893521,44.79968327880319,46.73410845685836,48.76167973019368,51.15723496528625,53.224788509592734,53.93610941621453,57.75097569187848,59.38679953974512,58.09472034330902,60.25431408691368,62.17137614305104,59.34080366503001,56.044033375555806,55.9955373834232,53.99319665263439,56.522498846712644,56.802837553026436,56.41427497555976,55.61399304333905,53.11097065918822,57.46408815462346,59.297813076451845,60.033897650806196,60.625363597015415,56.23502893280854,61.457791128460585,64.50554105647879,62.34940366844869,65.04980276292841,63.445523969474024,68.731985659233,65.16535045465743,68.90952965608156,69.60250726822144,65.99617654819727,65.22813744215289,62.67152319157846,62.43849980522329,62.15006590698107,57.28442714635694,57.16359926763202,53.773814950206315,51.52517770658894,52.075772119253884,49.21828812141436,47.00599874585667,47.614787520029864,47.474649826500645,43.21164850169297,42.64051387616535,44.093824414165304,42.44131259790606,38.116941837053005,38.86312269322512,38.886037743495386,35.177077089029744,34.04127398722784,36.268775451893006,38.90025877854514,40.23047532744937,45.02740016279604,45.54711892565954,46.0906120173014,51.49419775068128,52.05924922965612,55.907716863972325,55.983567254582525,56.88167097067683,59.33260271716281,57.73055941167149,62.64519561121252,61.40249140225528,57.07542164381171,60.58059297282391,64.04516522532968,60.461761261796596,59.45556963609347,63.564289295592765,63.15387370510641,58.83969524619207,59.80651935830683,55.30486843883441,56.90046327934099,58.57352945175535,55.50003429333085,56.367496393913896,56.165547841836926,54.24911914076366,52.3771445193124,51.063747422190865,50.018097690832136,47.38961490248944,46.14746723267783,44.68951224798095,41.824288468799146,40.78578256625126,43.50166886833432,41.0429746543238,36.82021157967123,39.66924287585351,42.464714694288325,44.18674356660074,47.850122619004345,49.201507028973936,53.05113656368775,50.24127611951578,47.25212637907023,52.24839860028301,52.98228792670246,49.96816263005453,51.33746270368083,56.42698082568627,54.36020117772205,50.8173675366044,54.6490807267847,58.03256691731328,54.18314713262039,53.47612578200028,49.00508497368547,52.2312068163036,48.58323891188316,45.621343016286154,42.823348044320404,42.5727947111213,38.550250285160224,39.89212036558571,43.08773687039959,46.649469714221176,48.15908816897051,48.176182187195764,45.620622104314236,48.54716895773241,45.11749416797562,41.66835181180191,43.277213172860755,42.274058205243406,40.63864636018536,39.425050147629406,37.44369158074294,35.751698761092044,35.214298537472544,32.92971133028332,32.59588856027715,30.135421919190414,30.648388180554775,31.948094582502033,31.56855481343745],[29.192938440783642,31.91346487552417,36.164748455694806,34.693859858254605,39.582568380447164,34.27599305521772,35.919409970120114,36.401895213101604,33.16039951165259,35.70418437426888,34.89503904047935,35.884317300059294,39.89422473942483,37.30798802148871,39.71042936614798,42.560324816610745,43.79968517633694,47.002462800959826,49.931686556970675,53.185834008765504,56.337053802257365,60.72713982790445,60.99546003471346,61.702325861281544,59.15245146618495,54.84573418576342,53.76321378135019,49.557572494495034,48.65390548423345,47.24911930554111,46.42466110450478,46.81161407842611,47.51001163459195,51.54843923124865,51.820837901806726,51.76077512270082,51.857316940686246,54.42148849211268,55.67805237688642,61.758071743964024,60.49286830392437,58.52575062526067,62.82247437035689,63.769532894952576,65.69255354865393,64.99935532742626,68.94651094978633,68.24353718522005,64.29768276267717,68.41846220751441,70.23986978540442,70.97622827204326,71.12829407694066,66.07701883030157,68.6874229987678,72.00807077560799,68.32734506997522,65.9849869026928,70.60382294475781,71.56682662354316,66.5133015304973,65.48195789297571,62.21382435840047,63.962540779468256,63.43001424918989,59.89253484704659,55.488801773887644,51.95720040953479,48.96242968488884,45.17906317736345,44.522387555344395,44.719142137386676,46.44440958033704,51.18304701166168,50.670015860957825,55.93305755068468,57.32012965196833,58.61567443210301,59.598709776573855,62.34432220216871,61.09065120792182,62.540489462073154,59.89822998567776,62.243042851327324,60.25273276950812,57.225005276663694,58.170730523137344,56.92435227091539,55.969573613748004,56.02552668363601,52.972086045203994,53.43089369551076,49.49010760858796,47.13752247611111,43.67352160094503,41.241392829261926,38.439728202416276,41.98696829463646,40.38839790820991,40.37463030354185,45.488402837409815,45.92964952030586,49.773312916568756,49.32195328221804,54.564216275713775,50.88529913536554,53.73022716414441,54.20499518168113,50.19528382878729,48.884150663890864,44.62857501378805,45.46366152789674,41.086037565439895,43.23848331730318,41.64076676539994,43.30812749382701,45.21968640787564,46.933025831202016,48.58291357093229,45.6146118056616,42.97557670254666,40.47598280048493,40.922848472452216,39.807868901255404,37.9562646869029,42.37952634046777,41.01459822115545,45.2411044201638,47.895037296576206,51.94095034727435,52.97982188595798,56.78681988959081,58.25482924328479,57.52977585104286,55.01655143912806,50.84182153221582,50.127245448100766,48.54556627581235,46.99099313235077,48.89477158251913,50.30388727814625,54.39561091181936,52.282423151255124,50.53689853747245,53.03637694277438,49.93699364216319,47.78500567380379,45.681436180564916,45.37182885025938,41.116812348110145,41.73950154889785,37.73918948710366,40.133902145373995,35.26183588238328,36.82090826983815,40.629412264343465,41.07479141439497,43.789374260814306,45.21027542688162,47.703678969272474,49.807403807202476,51.43024138689818,52.13937958377576,55.95398794907646,57.853678033157415,56.52494608415384,59.05781110078609,60.96053263401676,58.42130933734738,54.90491388607396,54.986038264066885,52.70967410219041,55.223635578458286,55.4721961566965,54.9635878232951,54.34528994569492,51.49908938517247,56.06433314203171,57.77138722896867,58.80802582861202,59.336219575052226,55.311851980920075,60.63832233156429,63.65704775094662,61.299218532112846,63.57481663851363,61.63851561181032,66.94580711209319,63.412563836319805,67.3348434552232,68.29530151454124,64.76320143148875,64.34655344026484,62.013489111144416,62.05333025057215,62.0943392953791,57.26953412352941,57.499668036687126,54.36151347670093,52.03822562763086,53.107050729499136,50.184354341371886,47.685962388674255,48.681899855040186,48.908519002335694,44.423296203625526,43.72546336244548,45.70361027574144,44.28216275941801,39.62357743118781,40.63643363458582,41.09884020469277,37.17256073657377,35.85041977718414,38.60397602456027,40.93269189455855,42.88200381188081,47.22194483078462,47.67169238736036,48.592274136147566,54.032160988005884,55.02785085964415,58.62708165966039,58.53956925168139,59.10986941341173,61.41255270980645,59.45421255580063,64.38797764838498,63.341686237441195,58.648346332839125,61.97491593661224,65.58779046123094,61.9413739153739,60.6221650856567,64.59041331413528,64.38525768856482,60.0319985567357,60.45752197001705,56.23797196445406,57.606051360700306,59.55976525389514,56.80070330546296,57.56364152699317,57.690486086352394,55.35538689644579,53.479351350734476,52.69866930867365,51.46869055104305,48.49587751759815,47.641105378372025,46.4858325651408,43.508532069050226,42.495689105865445,45.68567988769083,43.381863511153895,39.02985159879108,42.10992774446237,45.17628286016031,46.686822359442466,50.237012053214386,51.18404701658302,55.209996592690416,52.69642268337414,49.26293236139507,54.11985725290757,55.152520181503306,52.09334342485656,52.98296586964231,58.34151721907208,56.486931877787484,52.549843696080494,56.1179032959205,59.85543116656108,56.01156664283642,54.92749197104289,50.41806978730513,53.841205479673974,50.20504485689905,47.602756194836275,44.31577250832468,44.05436291119482,39.76027549350117,40.908822798240635,43.99675896161787,47.60651143757771,48.915405827855295,49.15346722996801,46.09538467242903,48.93448168538647,45.08330808554577,42.11926493080741,43.757010150156354,43.15970557089089,41.04541864357311,39.71920521991007,38.39605702267529,36.66948175243251,35.326602416624965,33.547403404943736,33.90904530466317,31.73426723085712,32.46725761700266,33.81940768841181,33.379944315519616],[33.54124675589291,36.388891614228285,40.75578327251759,39.401802318030434,44.37740726335778,39.10400784613314,40.78574492218031,41.20774282348982,37.96593044395616,40.47439188526692,39.546391233958005,40.463337943205715,44.56949714398687,41.94265828688472,44.17327632832424,47.07136436988415,48.40564664907491,51.477605815714256,54.34476975207313,57.6680386811812,60.73422466756981,65.15237423023572,65.36106284838328,66.12730637744467,63.67182654172187,59.344763752398805,58.37584203646598,54.196082696406094,53.249775402659225,51.843401150740945,50.751658014622606,51.248183586433754,51.74063372807795,55.72022774265347,56.18649010973186,56.21209755470967,56.41688113522271,59.039999481039686,60.36854989714603,66.47002453885281,65.19559266782018,63.10147855855466,67.38500802239798,68.37773086666436,70.25018464153703,69.59437665826042,73.53917369392755,72.8710604782824,68.98806570031054,73.1597401598123,74.94582986997325,75.71771768571193,75.81600193382171,70.76960060188084,73.30613541813543,76.59528760347789,72.89900115882072,70.49321791601349,75.06629906871112,76.04049259172038,70.92424487635806,69.75212661677254,66.42620021878949,68.10090557641078,67.71427443123758,64.2472930985916,59.73708506941134,56.24603665901661,53.19930810724247,49.404297181583786,48.707951469439486,48.674156978450945,50.445256912538035,55.19607899442983,54.787833228156295,59.8970881123292,61.5146928290708,62.70978198294129,63.864680653843855,66.72056823841169,65.56536812796777,67.14228642289912,64.51239325505702,66.94920613051472,64.99697656269119,61.89600794623059,62.7448496824976,61.420396458697745,60.38107734645537,60.24379998808298,57.14489389185832,57.37227028459961,53.47423351313662,51.17422832334969,47.89068347665138,45.290349149420756,42.690273780124016,46.26967896770488,44.79437786574336,44.683210285074836,49.924150706034986,50.452448461259436,54.362996429979226,53.993766173186735,59.29724037003366,55.66726407577836,58.47164092568621,58.981299596041005,54.9597479528227,53.6369801133607,49.42847534633398,50.31228159038077,45.93965070626939,48.09916964494634,46.43547437289862,48.08480658239027,49.9112848808854,51.589711815837475,53.06860820565821,50.1396086738533,47.51453871376366,45.11168049186986,45.6143452024845,44.59277421569671,42.80393878165647,47.2424792019087,45.87157835431945,50.10650998332998,52.73500886369948,56.780467869271625,57.80259618622618,61.59235078267191,63.101999284414276,62.3706630463184,59.88266983490524,55.713279452337794,54.96406714459714,53.39008243125827,51.798793496087,53.70532639395022,55.00572824163548,59.07321988984178,56.96016352954641,55.28595756193344,57.78256687156845,54.66715170247157,52.56187642476546,50.462617666157584,50.18050376165881,45.91573433767189,46.49538396609961,42.41694599713642,44.64814842334783,39.62331643424361,41.19159211158676,45.10695079075928,45.6799368404716,48.454812942643336,49.888856732252634,52.47978200959373,54.64247757194831,56.19978142798267,56.95327580324054,60.750644580492306,62.695219549219416,61.34673924956182,63.90942679937358,65.77647831635906,63.235138977127576,59.722321324998845,59.836988444294285,57.56627375960945,60.083790413549124,60.311602110038734,59.75675345639409,59.092318941108964,56.18822148260087,60.700707955219535,62.49705224644955,63.55363864243661,64.15906130834328,60.13750785635843,65.48294431710967,68.5152313113105,66.16394377431811,68.40975431664432,66.43400034714664,71.74858674386958,68.22092992848614,72.16717675509581,73.14640133625558,69.6249512641281,69.21048771033715,66.87128348769724,66.89581446720236,66.89657911854576,62.060419498178746,62.23983070938622,59.039283910981155,56.742185183435865,57.675736002372574,54.757376443620885,52.34505085681248,53.23060637430963,53.338250047551085,48.922827730395156,48.24287543420378,50.05088252487517,48.53823258231538,44.00900370548133,44.89240747499893,45.17215274778943,41.34988751213333,40.0693431272844,42.54726354865906,45.00004344964033,46.68768819330001,51.17642875778547,51.75035515745107,52.504192343872845,57.934035283824834,58.66666401352312,62.44011701447228,62.454167478765,63.20137447898388,65.56863307704104,63.759283581990324,68.69757481429225,67.57627498605055,63.032954262335934,66.42683378216172,69.98645957604633,66.35176664994916,65.14689518360692,69.15995600783198,68.85869399161572,64.50637367007673,65.11111953857194,60.82417181382074,62.26657802621777,64.14030380485312,61.26904507526607,62.02467576451757,61.98397720621767,59.77260164039876,57.97248741633548,56.974139940178006,55.73006981098481,52.931028567919704,51.99707436163292,50.65143900162826,47.69385088337268,46.760570753452825,49.72638628212005,47.285598267438125,43.02952008630452,46.05301337905934,48.953744694502966,50.61535960856866,54.21644053406267,55.36362471363261,59.31916944006282,56.66279388265757,53.453930018849135,58.378122220491264,59.26722521399531,56.21612100162656,57.31901877528022,62.56490592438115,60.56535376727675,56.78665111055814,60.47920388179955,64.04717917597925,60.1242781197569,59.188072413401144,54.68804062475706,57.9221258832102,54.21643112497562,51.52837823322805,48.46340946817045,48.33947750863899,44.15865596202442,45.23501292259636,48.40494798529439,51.96195915005826,53.40751041498402,53.66700374014588,50.76775523586876,53.656406595765304,49.88019627779557,46.827964130080396,48.4377667606271,47.711541590953125,45.66117012058825,44.438398849839885,42.953768343246416,41.163156809558984,40.04431050387185,38.196548418422076,38.33060706471257,35.98754263339616,36.58012403457236,37.90371831645234,37.393021572641274],[32.35742291007027,35.48499848754993,39.927139880105855,39.37617032867841,44.2872599967771,38.86786337018738,40.89443943444502,41.01030344732841,38.26314211505697,41.29950555011914,40.47008271975257,40.89944676578897,45.35029262187594,43.24750827127555,45.434248985154646,48.09564019792814,49.71311545642648,53.03167891007528,56.30446845538476,59.31444281548056,62.64594843503909,66.94094808224474,67.43873922096039,68.21673240003005,65.53754790359714,61.29206440930186,59.963631124510265,55.680967954478845,54.51488884728137,52.726984900589706,51.98910071378532,51.87355407806035,52.35387754876049,56.585499933292645,56.9878823544541,57.30534960016847,57.087378759431544,60.13603022172432,61.44538104422181,67.36991581059003,66.46751862827576,64.59674854669686,68.80770397092321,69.90906896031613,72.0482876553682,71.41579789950497,75.35298372259516,74.4269579951243,70.42689729098296,74.42544750813684,76.14017317208602,76.67350852280913,76.78087723993929,71.77480755165496,74.1295024081669,77.70887334831147,74.2314580830383,71.65562174910858,76.2435389255148,77.52827519827714,72.51077628215764,71.35951891868235,67.96526040133014,70.02766377586309,69.57396310865909,65.87239980260148,61.731572070405946,58.0245551549797,55.35168413307448,51.41047986973153,51.00838168332707,51.284552596833734,52.696346936607526,57.49244162938364,56.616293445135454,61.71317952611249,63.06838310542855,64.03099809725613,65.02922248484407,67.84030524079073,66.31557958567934,67.86373577089992,64.85191856130082,67.28550318449045,65.56526315183972,62.531696691448815,63.72747419141185,62.09563702166058,61.546001734932176,61.22707104636008,58.452340866476206,58.8911687520007,54.895939324683766,52.2972973345956,48.99591221255074,46.50730759695317,43.905795501346375,46.87563374169728,45.09957707846685,44.3224586383918,49.91592946978168,49.903247617362055,54.21249623018819,53.475626357177404,58.82303117720069,55.17203289542247,57.637741310557416,58.224555148428784,54.15976216009467,52.81922152522007,48.84889564459105,50.222171746114725,46.07339176228895,48.66149562743472,47.41218651850017,49.35519933592661,51.41155173391023,53.35961126002364,55.17257245738608,51.96553797307818,49.467355104522525,46.8017342116897,47.31914214245562,45.901995121840265,43.6885662419795,47.90248392460777,45.829258793575754,50.148496506988884,52.46855786417926,56.469411462059725,57.48570573412046,61.04976278103167,62.92154747364823,62.07523630755345,59.96254715131645,55.974756933181595,55.208222419518435,54.07811135930516,52.87050508851538,54.833735624638315,56.64999171027561,60.79226624006507,58.61613720814084,56.65669307695664,59.029175319660865,55.75548078029915,53.592817734337174,51.15756183532061,50.48197366757686,46.09370221359679,46.11516547902848,41.98920033633632,43.6750314746404,38.442139135961256,40.51525062097504,44.55950349489808,45.57314330901382,48.090261843198604,50.01891629662153,52.366890373912135,54.99487835437128,56.85269515530054,57.87259702721276,61.54466939351069,63.44922026665031,62.35289928386393,64.5725238443537,66.61522406435817,63.861591178464764,60.511540645956416,60.38300522414327,58.25190729643888,60.58264980184121,60.67745478622946,60.07648049664874,59.10719034736169,56.43666841191875,60.64800529615445,62.732525869279925,63.52677560427494,64.41095734501805,60.049134514951035,65.39174254076454,68.52555703302792,66.41139684765186,68.96280462290434,67.27276209633959,72.63491808593176,69.2605431722028,73.04372014291499,73.8436594489791,70.18430460051333,69.55035500229079,67.03055913306189,66.80249180792607,66.57333536664903,61.74509977936434,61.562271416288965,58.219758315506354,55.80424133919441,56.32230610252013,53.298986895533766,51.22869123357471,51.9928794857954,51.65649656448595,47.39706471184515,47.148657439888055,48.45708626582134,46.49031014846215,42.443896393708776,43.286753576204056,43.09748998157487,39.34560129336249,38.51724781083403,40.67002551216444,43.43108255263455,44.43664826282347,49.5489325221391,49.947375107402465,50.286466584958475,55.63858012038004,55.99079759190194,59.90385839080417,59.84734190737915,60.8402433741433,63.20523555637605,61.62255755637019,66.58873526276966,65.46550233024581,61.27005100410954,64.69973421753073,68.26726582127372,64.81123990797695,63.80270296684678,67.92173438042539,67.64920945676127,63.37465025131564,64.3019245131909,59.74387279021054,61.11032347121054,62.69626525799707,59.50265088305898,60.15711315249077,59.724013198026526,57.803176120972125,56.2091134274007,54.710193653500156,53.43353586904211,51.03768618031382,49.95547282853123,48.200374162662975,45.2991969063667,44.585977301880675,47.12516374981582,44.441606866853135,40.41589255989527,43.44137929396171,46.04772376274538,48.00340439022758,51.578589964702395,53.02362615022886,56.87678209988701,54.12635011283178,51.371366111498084,56.34833905648291,57.13445353558179,54.22245894100259,55.70406619337033,60.73393176099919,58.75079985480333,55.34964301014397,59.185602056054016,62.5451414179636,58.79189278524736,58.170310825267826,53.721560455526,56.98250469739035,53.3722643951427,50.299189246186856,47.60466406963002,47.23765618270951,43.227206190785346,44.727973789088935,47.89402174102985,51.4805274163984,52.93419507951495,52.80793993926348,50.197834616688525,52.98242440090185,49.52651967945448,46.0297218816317,47.31430466411903,46.16954270821588,44.36030101648227,43.50494774708751,41.536128768190494,39.52634611773402,39.14334980524683,37.189332739607906,36.64825902332708,33.95410229615321,34.25051036456931,35.50524326739567,34.99265319350578],[30.188510615248344,33.07734448041516,37.178357808981794,36.42344371507998,40.94198560253618,35.16018182020385,36.81143090960503,36.626236540145776,33.66242931803761,36.57444694750033,35.483139879013024,35.791663931443,40.383084486431194,38.329276024934785,40.24134752971794,42.911274050249524,44.73409299510111,47.93962071185253,51.33614208654906,54.27166409606375,57.61932941638577,61.8811118240493,62.47803545802005,63.384597522502716,60.71818678953838,56.48669175106736,55.15304593799285,50.867096373315526,49.503230420568045,47.62955143268999,46.656374092041936,46.58826358131174,46.92658531795179,51.12261652396452,51.64133936224546,52.058293920848996,51.93042779531419,55.114002232327834,56.5691939480493,62.49962501898515,61.716048520932034,59.64563692216534,63.7977271088163,65.05476358362158,67.27285044820033,66.81123416407456,70.74288760261769,69.66314218169187,65.78688765374365,69.86146652625101,71.37115569359803,71.90979520616635,71.8650243265314,66.89509696576849,69.06176234306068,72.63766540499009,69.19966683220571,66.48278150229501,71.01726910152175,72.39910278129946,67.34025708120134,66.05627851251377,62.60335644397255,64.73462616702622,64.37633641073484,60.65628986498068,56.56650155602845,52.80587915686228,50.27172471271989,46.24421854735921,45.97581224317167,46.255666112788255,47.47612579365738,52.29514325644269,51.28462702985926,56.29421519543909,57.70184659174281,58.565276568494916,59.6364679106596,62.52200150576782,61.06171660140592,62.763134877264044,59.78875993659297,62.38421037877369,60.73696769469988,57.54159006234734,58.61226462592672,56.86433415112085,56.26911347505025,55.79140254289744,53.02611839963354,53.39956218385296,49.40503318966151,46.790694211635326,43.57365656063385,41.018236657979294,38.523671566030586,41.479774657561755,39.81940110942791,39.12887196249038,44.71882389816443,44.998791861615516,49.2305400755749,48.80803143369925,54.286367206221804,50.85340647660367,53.50501336860007,54.33063338587537,50.42917921723372,48.81147907028978,44.90591217966543,45.98873136613595,41.74781721638751,44.34283316656106,42.83355701483092,44.93538980249868,46.78616949121033,48.939357416449965,50.499627612199006,47.11499885920814,44.772895165370144,42.13809318937304,43.004031457605016,41.62521918695465,39.47468739371102,43.87566658931881,41.986421094485436,46.22294131772329,48.66868007098485,52.45723526246472,53.860095241225714,57.372262905934306,59.115428536158106,58.00055783223053,56.027211405794766,51.963448570125195,51.61872967895529,50.24512939289637,48.98579782019992,50.687049576103604,52.582814267726555,56.55047636203339,54.13902349216634,52.203782972398834,54.42254465999829,50.990253294283605,48.97169576968844,46.44093503597529,45.864793161805,41.47504364429684,41.62119369912854,37.31405827095773,39.04290788340579,33.76396438723532,35.516709153002,39.60457404889236,40.60810276996332,43.33258258030078,45.10227607571583,47.76820811446635,50.48557930435398,52.09440949780012,53.392215860016584,56.91326642541751,59.11169227157101,58.26955914464298,60.59672764704955,62.830160379415055,60.25325630191994,56.78976878372744,56.54815250102439,54.19730824937731,56.282074281436984,56.19168704472547,55.39583563148331,54.36208944231868,51.510855001168544,55.700071198215554,57.87899505774983,58.78791522169388,59.85426719553216,55.628588540242276,61.09632916234741,64.2916310257385,62.15913358780191,64.46820407675884,62.65951828507459,68.08498126398771,64.93554762973886,68.76320217720391,69.72685402902633,66.01975589956697,65.63364398634027,63.23233351650907,63.11172564481253,63.10988051879249,58.35718405539792,58.2901871565313,55.17734882128052,52.50798070341917,53.36959591347975,50.12968620328775,47.9881065429135,49.22225898175101,48.975200823353674,44.52447700763169,44.57443137971209,46.158040905645734,44.06013456006072,39.98941446542193,41.23804468186641,41.250427464732304,37.187083443400816,36.57464258086566,39.276649619076196,41.89679621243145,43.183161956439506,48.27030544565739,48.305107591405985,48.8263495814697,54.17526681103478,54.90691044590898,58.516231948326,58.085447260904786,58.77109349769931,60.89305940358717,58.95832959849815,63.98967167359022,63.18547313113552,58.748228590504844,61.93072452001652,65.75308632169106,62.39088351682169,61.08754766013963,65.10526254332997,65.20735310532652,60.95617952112953,61.37900961022486,56.95001415792181,57.871613201789195,59.58521505578051,56.5398587249497,56.943689059104486,56.64623565074059,54.37334522210699,52.94842662476657,51.78098877850066,50.21275103497099,47.65928666101421,47.00127449286273,45.33224515382177,42.30563770108684,41.81761638815001,44.70959246686066,42.05203077928134,37.99920340690412,41.41151347338117,44.207994770361964,46.09554028003275,49.4716617304647,50.550263717701185,54.59868934251896,52.24232060062036,49.20189075281517,54.01815551926071,55.20146499072134,52.36207841030322,53.46014629799738,58.713941136096125,57.12714162694842,53.48095228939783,57.03956802548637,60.77760048772625,57.254290825054525,56.35930788690125,51.90193712253108,55.5842084774722,52.130746043130515,49.1783106269835,46.07655740674504,45.342437972895404,41.07255032435143,42.831763321616826,45.79842832610366,49.51608038758745,50.620355151386875,50.35717710798872,47.281335012436074,49.796664361470945,46.07861115099783,42.79854732420112,43.76849485451713,42.78979200829165,40.53879924364562,39.88873002759054,38.37116119592562,36.08971659124461,35.30772569498553,33.967926512530596,33.737023588309604,31.11405669790322,31.484316444926947,32.78462651114825,32.22689997589672],[33.557392518112785,36.18472174508959,39.96096850056106,38.838025833751466,42.98742374190483,36.960688048418945,38.07275521367832,37.58604084609371,34.221078028700184,36.69849352481723,35.11938547644188,35.37744265006084,40.075690397114,37.860105051520826,39.223351380170314,42.02669388471757,44.10625658329053,46.912439657060375,50.24378919099998,53.25910223712229,56.433202128579765,60.71659294184447,61.27364602543745,62.413008896944305,59.94293303316199,55.688884537292054,54.60049446610965,50.390967707957984,48.81038949308136,46.97007307432382,45.25999696680177,45.5995940802636,45.505290198246584,49.47211365817699,50.395902810046195,50.9428143771944,51.19959834813782,54.46415314160456,56.18545611099694,62.1797921698413,61.41946492431973,58.891488669781815,62.96492066930627,64.43218452736934,66.60109913167476,66.39172232198555,70.3056720868076,69.15522836153103,65.55629430199382,69.81959845524382,71.05244280196248,71.71061838834154,71.41054091793077,66.49230436410573,68.38372854363436,71.82905284493799,68.36446937260166,65.45498675244346,69.84992233860532,71.27138915631221,66.06473212523754,64.44368121857028,60.872477391066255,62.87881050597574,62.839876302152824,59.261555172423655,55.00345010386686,51.30138457943328,48.767319209505594,44.67248224321421,44.432272586570626,44.33998558742695,45.478576815064685,50.3200669426553,49.41663851056869,54.11586249523376,55.95154516441248,56.63670370562649,58.05817748795116,61.17768086234139,60.03704132651511,62.08281982750983,59.304530447252795,62.19822173135833,60.619471247052914,57.13081653243444,57.81619555454138,55.937440176600845,55.02700084209634,54.17253244891572,51.26794381938767,51.20181885168047,47.306459793349305,44.85088635931938,41.993211142429416,39.122012078373174,37.036351770583806,40.20997918833318,38.97797869882804,38.53804965130719,44.08110106399606,45.01816187878852,49.05094732496002,49.239363830482425,54.886670008509306,51.803917278450015,54.71532862461836,55.82922399569386,52.150719750421686,50.21895883422152,46.40274287061595,47.02292051530783,42.643441404125625,45.078585917938916,43.048757334865584,45.20587673589003,46.61994972873701,48.88349815095905,49.81991605321387,46.36310039668589,44.19999996133066,41.81951992653436,43.16741827384875,42.085735164624474,40.250025598154096,44.93080668502402,43.507646538839666,47.58935486539462,50.23402176654922,53.758691286991755,55.58602381420012,59.065726162720026,60.583277008763275,59.1878138731847,57.29959993577099,53.1195305031528,53.23613792345238,51.45357846696652,49.97378700954171,51.33846241090434,53.03273138586947,56.72516221551507,54.05453220523496,52.33024933986653,54.388077020045465,50.81156326978106,49.05466885148851,46.54353081139697,46.26214658517163,41.94711554682148,42.392228237333754,37.85582662627495,39.62226482495496,34.28681759316446,35.43076003858115,39.57911058286957,40.54655138909051,43.653887101549984,45.05068379287765,48.27667903710286,50.98948364962472,52.10840321597398,53.70114321687468,57.0422953161584,59.6514864382175,59.01386277469347,61.600331359907976,63.957717326931835,61.660803975293206,58.03282516827683,57.772276622897564,55.13524871986283,56.9811330322857,56.687827711822095,55.62209151671836,54.562426773209516,51.365458652948654,55.533698033678505,57.82758626228665,58.98004830797699,60.26197637719749,56.33756588176486,61.94370055877025,65.18006441301513,62.970585059843835,64.85008337746243,62.770478367226666,68.24802926378077,65.3408901026173,69.28338072465581,70.5155816839457,66.8190123278039,66.79787757060492,64.5952594143243,64.66191574309136,64.94935242354941,60.294251790163045,60.41558742476084,57.55813750107329,54.68731242219178,55.90828837317027,52.49161186269155,50.27579287076069,51.93962956900771,51.80296412747409,47.21562489427371,47.468985345612296,49.311939928917965,47.13958576201271,43.07561792772558,44.6146822330646,44.79375148243135,40.54616937219491,40.05966460603813,43.111270665636226,45.59500995873023,47.09177543068665,52.083915315135265,51.91815066639312,52.57250392488438,57.89032111666855,58.845582446566766,62.252847962013234,61.55385838672439,62.02426798465783,63.93610939238398,61.7214492587,66.78836169379889,66.26289362992028,61.65113984047061,64.6002671635899,68.62585948699783,65.34722527673136,63.78951995281632,67.68869997107075,68.09878603226505,63.87466522501836,63.827450686642635,59.57689395862087,60.09524207736297,61.94057591250868,59.05806779087301,59.1977997396094,58.98788938400931,56.38390562862916,55.18727695774571,54.31285576751084,52.43173736011762,49.79914666811322,49.580347973277426,47.94619407788682,44.83186545712793,44.61230163243487,47.734272739487196,45.06842817991761,41.09082858977946,44.79016123279276,47.659786485806436,49.52912148698856,52.7182381586811,53.51790584527007,57.69719897001653,55.660649204811975,52.4483793179528,57.10580844250003,58.588414850124266,55.81554643175741,56.60682279944717,62.011745643669045,60.705583941003695,56.87554537704739,60.202847680008674,64.21136541597787,60.825022485620664,59.70554916390356,55.25489364681247,59.16631164770304,55.793455146998454,53.006614180642124,49.61655647819032,48.715733855200185,44.27358451138103,46.08172697084119,48.900253850488674,52.670396449372355,53.52987037478789,53.26032728206094,49.774588030363226,52.057091375896505,48.050846633141674,45.0994950299712,45.78416570452269,45.001613440270724,42.27615947452023,41.856641098857,40.85096537389603,38.32053336259546,37.0882307210765,36.41839808598975,36.52748356954733,33.9723678889493,34.37332519669836,35.67535005939508,35.01679917575571],[33.746321752896435,36.07154718903153,39.513202172150876,38.02946570888398,41.83952288818179,35.71150139377126,36.383715349431455,35.75853469101876,32.097120695220305,34.20617271758976,32.348703941343885,32.6672833327862,37.31400058187254,34.96474027103877,36.03613413254006,38.922414788491075,41.08199950849189,43.6508074875455,46.91636269908285,49.974998340118624,53.0427287459914,57.33131400908585,57.858406241962484,59.11328272922749,56.74957514953145,52.49615087621014,51.55139549621962,47.40521071768303,45.734265002784916,43.97137041634846,41.87851487843683,42.51169890341954,42.25454814603915,46.06328089428551,47.145471427556295,47.68487081150654,48.189707179452434,51.40782920366273,53.26089812804288,59.29193001441429,58.507178441677944,55.72925681841794,59.760042794816016,61.32011026073733,63.44893123614609,63.37824671191625,67.27416032115647,66.09187275223304,62.658433298322734,67.02589892628814,68.10855014166904,68.85594571889115,68.42425853510203,63.53868939368722,65.32185822629242,68.65406272136353,65.15646080306033,62.18820882293882,66.51486123941604,67.90876390464173,62.637828881537835,60.88004108634819,57.279096018924896,59.193743467569064,59.283637046585724,55.79081224358511,51.442542116850746,47.788334246120186,45.24482589029627,41.138619830086974,40.909337721431655,40.661766714146054,41.75593708682161,46.59242021880949,45.75889763485842,50.34334594175735,52.35746250191147,53.021293821049355,54.58748734186736,57.79638048922271,56.85841865770128,59.05236552538132,56.45256709575396,59.47814271071756,57.892286463732056,54.25567407241497,54.69737862837182,52.826635661524634,51.6923064034783,50.73433800325735,47.720409100114296,47.473733234407725,43.63238327747533,41.29655734993875,38.576060036978035,35.57582956494184,33.6579244605078,37.04132724685648,36.07512807647258,35.967771426703976,41.325445965914106,42.721402264142796,46.50930209641695,47.09945741315678,52.792413247409016,49.921443443867915,53.054808208495515,54.3169653650109,50.81220280691918,48.700174466781526,44.90992313733616,45.13433979536883,40.66419121571851,42.922151503350236,40.541194478009615,42.70306772181597,43.831890368791385,46.15182942638306,46.71924679223201,43.23352253822635,41.18519593821471,38.967448769107776,40.613328243262785,39.73195786388968,38.13638439431092,42.98082938509932,41.962493295158936,45.8927811246709,48.70033468036553,52.03842809475124,54.13868920306758,57.617367017297184,58.915014565970594,57.36518306835397,55.478773887386374,51.221764300775575,51.66156371502977,49.56864780502569,47.932547012283145,49.053553689391414,50.609618303497676,54.10341215891989,51.27740070226473,49.69355189215496,51.649841081514026,48.018678168501516,46.425849400109925,43.97746278429183,43.92763869501706,39.709646079617166,40.44735498462447,35.84153261682051,37.791165479070536,32.582900796162996,33.22458180394101,37.30568947490953,38.104315975052344,41.45234276065246,42.51807194314268,46.076475832295685,48.68027698494317,49.46951992016814,51.194068806149325,54.42760051319692,57.275416746450574,56.756291079630614,59.52287414474664,61.949939998708054,59.87101030355876,56.134257691831124,55.87090426012294,53.04136830659722,54.74034762865257,54.343890503341754,53.138655956239475,52.134026478699454,48.72395238682272,52.938535255198666,55.20793969160371,56.53910401207622,57.872539243702,54.20050105694948,59.86436368598976,63.09506991436236,60.808385957167275,62.38385151468682,60.12035847789375,65.60585666106377,62.84153442195166,66.85325616944894,68.26762991980453,64.59982294381777,64.83820151089603,62.79559239946842,63.020351546513396,63.54038220098698,58.97332328824783,59.285960419639174,56.65577458045841,53.67555264815892,55.24033844853066,51.745392537104365,49.40733990607363,51.405023794750676,51.456285994402684,46.76069062424964,47.08190471047347,49.21798198511708,47.12062164975832,42.9717030245112,44.74970151028278,45.17712166371416,40.79675230036919,40.32668054488427,43.73406367835954,46.01325907778302,47.83535239568332,52.582230118727594,52.25171872546927,53.118675175182865,58.40210904959095,59.672054053766125,62.837149146887455,61.93841795318315,62.15008490936947,63.89480906785732,61.411864566452344,66.47149052483053,66.15456232740658,61.3296550395022,64.08226253224828,68.23970207905693,64.99681541344266,63.20353089836423,66.97520767529551,67.61943093943236,63.41959760854543,62.94655162278896,58.89884669351609,59.13422223398427,61.134207937365986,58.47116775372088,58.467453142622944,58.46003631020848,55.559519840185715,54.43591197947588,53.93461904011995,51.887223811038325,49.067786950537275,49.183725835286666,47.742177352931584,44.57807461815726,44.45107845988296,47.86650454934046,45.322593293910984,41.33846072494854,45.20889322172855,48.22666387850943,49.952273214785045,52.987148352771875,53.46768834009805,57.754267275050985,56.006864776308745,52.53152890140166,57.02292477490702,58.76636949971303,56.0273132102126,56.46686176600199,62.02152294196905,60.96504376466371,56.91646293205196,59.99926217425521,64.26589431346542,61.00079673393086,59.63671141723985,55.20961907852222,59.32983463581121,56.0582281545864,53.479512087207546,49.78558609475873,48.7420906390366,44.15891153359301,45.97656002282069,48.629911521546966,52.425364880586145,53.05077746432231,52.80898627817104,48.97233569706093,51.072543678462864,46.83316669643345,44.217311985160265,44.765204785976366,44.23623810020289,41.165521790891155,40.79786257097552,40.27639918084039,37.672045031257404,35.95406209317856,35.784350108182956,36.303517026582995,33.96008368485337,34.4947955831413,35.819807855890154,35.14078254412639],[34.42530722836107,36.9945379155394,40.46097113471658,39.74226184400352,43.424933571902145,37.086925881794485,38.02215325118908,36.96415589229592,33.786649930778665,36.393959297725985,34.535235581314794,34.23426761685279,39.31227318380375,37.54673503030939,38.39993466973029,41.02189160947438,43.57992886486576,46.294456883772625,49.96719816087534,52.6880655614548,55.9775908038558,60.114464882220034,60.942887907143906,62.268252899738584,59.73814936104757,55.5830450444419,54.32396377295127,50.107478920134675,48.13694751410302,45.946265088102194,44.038923787427265,44.06007400908529,43.61680199337345,47.632967034344816,48.794435476631136,49.73611805251566,49.86653327978403,53.60284043020289,55.5094329228218,61.34272948927342,60.97966275478865,58.323297356760335,62.23408019078306,63.973784225045236,66.36855481637349,66.3906021718891,70.26137270417424,68.793889745413,65.31781656447534,69.5435914548503,70.46833277607777,70.98221005087613,70.48338620256285,65.6694963273308,67.15117717567709,70.76196641271422,67.50956812335319,64.29191912352505,68.57276513285942,70.32962282226089,65.13787155645642,63.29041631000473,59.58368345150367,61.88624133742489,62.01490170810125,58.32405701873504,54.357953804938575,50.50630079042205,48.39868519221633,44.14741865543679,44.249423969174,44.22611542098839,44.894512996682636,49.738024696693955,48.421231685518876,52.83956278285717,54.697615306434656,55.00778706235455,56.51846768639329,59.74947355253562,58.49366817095599,60.77444486190863,57.79290001187583,60.91598409849828,59.629318695863255,55.98386073443446,56.69935827252539,54.42044197779869,53.76369624125972,52.44435733201956,49.78924756732826,49.62429359804073,45.733523181035075,43.10440601322258,40.528569349981204,37.57585261098632,35.82940713747222,38.48457607641878,37.29798459296328,36.39581900014886,42.20119379107474,43.151977963853085,47.37369106920501,47.729939580632745,53.53356868119505,50.760952241442595,53.574592594285605,55.0222510009407,51.53209594995288,49.30159288670614,45.817314475974584,46.47802684905979,42.233927235284625,44.931141104889605,42.892587170088284,45.37553605749246,46.64549248114217,49.26063859943031,50.029353663454295,46.25768301936178,44.3992656509573,41.97848709537617,43.723468632057894,42.495033938418956,40.51875454417866,45.16824286798906,43.48890900211741,47.47385656381242,49.9838108881644,53.199846600111776,55.40685800745509,58.62575252567102,60.26721252105885,58.509687859349604,57.06983698400127,52.98518410792876,53.51125156916778,51.80195094043178,50.522636182520635,51.63562723140929,53.6732604607073,57.17634503124484,54.24173650459877,52.41343320647729,54.1908302813134,50.360307298433064,48.780042717022226,45.966959476375976,45.545580201630415,41.2130974112495,41.367242019310844,36.62932423287488,37.88355052155291,32.355458325945506,33.43296051926938,37.718881101144255,39.080096956257364,42.23675136375195,43.78785975147743,47.23223135739299,50.377835674133955,51.367433281024816,53.46851279629751,56.50553714436073,59.41455501407006,59.21530429084847,61.67542151522152,64.30917052609236,62.071031791404764,58.4722226726578,57.952752450731296,55.21085666372161,56.645626461682085,56.04480264925611,54.70718470511756,53.33330409943293,50.091849113217606,53.9244612026258,56.58152987081778,57.68051477719249,59.41103548107842,55.441160488687316,61.14035524496021,64.49708280966072,62.45762222150408,64.24858504518193,62.2306062302647,67.77277273242134,65.24635331879338,69.10357386983692,70.38994044844632,66.58334530671877,66.67754587684195,64.49111007310367,64.48820918935708,64.83007988273295,60.29517434226474,60.2569676771411,57.53425869775268,54.36863438341295,55.56555853936398,51.89452335185713,49.92567697355226,51.90467127638435,51.48732576007144,46.924401704870476,47.77816493018241,49.43475317693368,46.80335196326493,43.19727437830027,45.00550401181843,44.96394339593088,40.607033712255244,40.661044512328445,43.80586633560314,46.37819615790479,47.52568663267398,52.910447707559044,52.3546488375715,52.805414714327455,57.99454071908078,58.900406611630686,62.17005956092544,61.10863715557311,61.53711259190963,63.21595030036499,60.903597803982436,66.01372345813806,65.77894952398651,61.297867562901025,64.02391281826021,68.2525040507285,65.23172288682588,63.58827168476218,67.4487299442332,68.20332400882668,64.09031565613559,63.856316322467684,59.55367185298112,59.59551922362427,61.306463632083705,58.31578857223009,58.10535437212668,57.65473362527062,54.983551873737085,54.18804381913428,53.18879380809419,50.97814668975111,48.61706030545698,48.71210994969459,46.784494605495965,43.64429387532637,43.88516105214004,46.88107421568692,44.03405550256216,40.34451695192355,44.33318650163093,47.03647913051799,49.10126705626902,52.04571407042105,52.78188811292271,56.995499084808216,55.241783229260115,52.2309747738277,56.737864260429106,58.45188973963509,55.88470974658704,56.66375796997454,62.02213111729386,61.04831231229142,57.36222843362483,60.54894682627823,64.65393786658478,61.5881156348074,60.50758720976771,56.13358702188596,60.31339909188678,57.142885546278556,54.209898555298125,50.84036659400439,49.5291004964631,45.08485491583808,47.332665934407565,49.96666872402026,53.80151050165648,54.397641059118556,53.76017819698836,50.14279132760551,52.078479188138395,48.11994976149597,45.09259110945602,45.19004768379126,44.228308830295745,41.28005823003908,41.42223146151889,40.49082259540452,37.53727820195149,36.553357639497186,36.44913432384565,36.28882699596403,33.54332961287757,33.72176827129955,34.962453324739464,34.20827670308893],[30.649809418138823,33.34697947192937,37.00181931001883,36.44451493539578,40.3728772465491,34.16262175572756,35.44580630479619,34.64044547743217,31.675480557499146,34.591334900142215,33.104784386520016,32.921006692856714,37.89768193961059,36.187949572140006,37.529938362701785,40.08835309327421,42.39941114582314,45.44723414318004,49.152684136917415,51.848378646004655,55.27411802538229,59.420933677507946,60.25752596685819,61.38682716464274,58.700469283312614,54.54225572991318,53.10625717250648,48.8171159124369,47.04505952983391,44.86831810697545,43.56069295003842,43.316235018034334,43.28607033670456,47.49284921608438,48.282323065434596,49.05399770895589,48.910326736786,52.5237066197685,54.214040016597814,60.038609613309305,59.60732950904821,57.30114073594664,61.30168274274767,62.854297875629825,65.2717403654191,65.08592262354048,68.98328436063156,67.59107627246189,63.88978990560638,67.99131880458042,69.15320907982695,69.59908272689614,69.3121227124852,64.4349868642211,66.18687351496034,69.87546521277363,66.60684350040776,63.5750896905486,67.99139395354608,69.67121669354287,64.5834775635345,63.036164465457716,59.43926742259201,61.80801212838553,61.65090358140435,57.850433306185394,53.975248924000354,50.08044152442386,47.91960593089039,43.72084958647643,43.76941945058373,44.05682949018319,44.838042208372904,49.681537513631895,48.31721141013537,53.055491538114914,54.55173831492632,55.07605464243659,56.28455100035492,59.31575222979693,57.827963070515196,59.809857159719556,56.71355543032418,59.58669628254897,58.197900944273144,54.77839890657556,55.77861619796879,53.66333211893751,53.20429869341494,52.268787358938404,49.67378563701502,49.8996705483386,45.91029967147117,43.16974453875635,40.22772760455875,37.54054369460114,35.380517669382314,37.97263251188873,36.433613110414626,35.44964973583265,41.255986693602864,41.73881851811997,46.07424240953447,45.97795647616304,51.66152912278644,48.59133977266308,51.27700336416351,52.49281664767932,48.82851626745255,46.82513295755475,43.21314661488753,44.154084799144286,39.95782605727287,42.7452468848539,41.05323038864372,43.483916841363246,45.08448296771126,47.608331465335716,48.85719517018664,45.1462025598407,43.12081512328872,40.49693856794313,41.87942492581105,40.44131951711335,38.24669966573475,42.74008277980969,40.78400918013013,44.89215098931446,47.30977966209071,50.74087726613652,52.64887123972699,55.93364426418979,57.695475334553066,56.1570221461428,54.59715718984883,50.56029905656319,50.763282533722894,49.296179128871565,48.1433143367492,49.49923376948307,51.66523709970814,55.38190245235114,52.639102897519024,50.66010134596364,52.582896218944335,48.86861053474638,47.07457022605102,44.26912239847221,43.660253603162246,39.255862805300985,39.26219134092282,34.67813432806146,36.03521331291606,30.552977008924785,32.06401346065614,36.30368836055685,37.608241137257835,40.50987199492788,42.295654435746904,45.333037510339196,48.427509474604065,49.77802918244065,51.618171643069694,54.826314383433555,57.4255825483621,57.04792826272298,59.35476846301416,61.89308991684417,59.46668944878006,55.961348500641044,55.47103069955513,52.91382532116113,54.55310327732612,54.12548079946913,53.00761107412744,51.701067977768886,48.69671346576065,52.62602524765839,55.13812344268723,56.08119942010052,57.59258764566262,53.41796667766408,59.029935556595795,62.34999184411383,60.330361346566505,62.42495034989199,60.580946008563636,66.0917460614756,63.347599598312414,67.14707387333422,68.25140400945945,64.43998510074829,64.28555666508852,61.967570550088,61.85900078540171,62.024932617683476,57.40793834056556,57.28558157782594,54.399360789349906,51.373377766831425,52.394356152733984,48.84672995219602,46.863020416320175,48.58493254226558,48.163451617449674,43.64115828093709,44.3145251588239,45.88669320430482,43.3614387301897,39.655311363997455,41.31434501050218,41.24580359739969,36.956913827575015,36.887988617200406,39.91236562960269,42.52616908946139,43.65806990383545,49.029124393746216,48.58960166884174,49.03146060127488,54.26616726431231,55.12804956975297,58.48579352730385,57.59481111819201,58.10648656709257,59.92744903348705,57.74869816454793,62.84329894584304,62.42111507412071,57.974351401586375,60.8593098862835,64.96123976735427,61.84743197229606,60.33412496960104,64.26591161463962,64.81833419503667,60.67117700526164,60.69451345043365,56.29867232535192,56.623625763210086,58.298138626777416,55.244077662117355,55.24501962226403,54.82133578721092,52.31586161882312,51.29839584496845,50.19501632188696,48.21526337948798,45.802190559890654,45.61174001796394,43.745501774430586,40.635602574753285,40.63739672136235,43.593979438322876,40.79938736350582,36.9772998805819,40.80740008860684,43.54979902044715,45.56534227533244,48.645631585298624,49.50043496247366,53.66780942363507,51.72341196260423,48.716519919295706,53.32997016184405,54.883882386724466,52.24583831718903,53.14976530560515,58.46623854255928,57.32797845562013,53.68560174134315,56.994426221465766,60.98177996439383,57.819482225708065,56.82531029465948,52.43266988802643,56.508476266129534,53.29300713316807,50.29758864805263,47.03140476389082,45.80899291752625,41.42624216029238,43.64046706159373,46.35477825740069,50.172041926091204,50.900321954507056,50.29138615606699,46.879831808124024,48.98420804562993,45.16385366466956,41.95256857029661,42.292074496135015,41.25979618652289,38.592709635871174,38.503243709332786,37.28951921088524,34.523624641882336,33.72387728245161,33.180166807691144,32.89726295576226,30.150083056224457,30.374191551953224,31.63973295681883,30.976094230178045],[28.246835205552127,30.660361383876147,34.16045784871416,33.0506409788425,36.93535087195595,30.780563177724314,31.820092405255764,31.252038099707015,27.95113908477027,30.59327210524368,29.13096350785212,29.325472017148588,34.04315529310937,32.02763976381076,33.56749386071576,36.256911674878154,38.317501899035975,41.3562858387064,44.88672072336318,47.730415377280366,51.08487114494331,55.30378844969725,56.008777131863646,57.074809128081235,54.42899792687588,50.22505081220423,48.90044541985133,44.63062244563078,43.031095286879236,41.08544245714742,39.804245508873336,39.84749744919191,40.034197252120734,44.166882775307684,44.807945092415444,45.30827282889775,45.325676633282114,48.62620733962978,50.26110430950514,56.19825964786403,55.537657050883716,53.21159089697394,57.289025868106684,58.7260153280933,61.025370577723564,60.77747034375519,64.68994549948422,63.43268372877185,59.729141609216455,63.89568601068511,65.15431377824423,65.71914357833609,65.48988080017351,60.56237040992278,62.52192063262538,66.07030709080013,62.66471710421622,59.79936167509635,64.27115716550661,65.74279175524228,60.63483166914038,59.20925618777121,55.69860515226171,57.89498802362923,57.63775018071961,53.903470701650576,49.87326041267914,46.056553627799914,43.69091615574473,39.567817779160315,39.470162396786904,39.77588135671586,40.74882389375913,45.58430619008799,44.416359837839835,49.34396231847319,50.7939727244681,51.57411926836354,52.720721769324356,55.685943189897515,54.3287441719173,56.20359635154148,53.321834806853076,56.10656143936186,54.52475156126932,51.130384989341486,52.01621672086357,50.16843766489609,49.47716025816933,48.849468593592725,46.07023240889435,46.38729408192146,42.392030016491326,39.775978814536934,36.6360081544502,34.012641313994834,31.626622520650482,34.6219311277445,33.14077620917026,32.6912044280276,38.1829087875884,38.92031791122052,42.960882312770764,42.997783370267065,48.60677635950465,45.475232666097,48.40313078779923,49.51768630455,45.869850113127356,43.90782074945779,40.091947774149034,40.70368455355482,36.34903744331865,38.880159028666355,36.98903980928514,39.270932846951744,40.817475233284725,43.219792713378595,44.42914991838197,40.83508448834071,38.70858931346663,36.14082566243667,37.47949479042061,36.18780746803126,34.18151952558696,38.80970457633419,37.27276310019674,41.33357398052315,43.95971243945072,47.438789557964625,49.3396745504283,52.78443479903463,54.301415662666685,52.861139233958454,51.03405111342378,46.88050595974251,47.10238592814427,45.37480669106461,44.028172594537125,45.357227420185154,47.31490272876369,51.021939444152494,48.318578692997406,46.440002330357544,48.45382304897305,44.84107507416214,43.02561344820951,40.41151534549381,40.01560073883098,35.671287555973834,36.06789588941392,31.56349250660682,33.4480150051924,28.223160061396527,29.411452422590042,33.492206837679106,34.390351568055046,37.41353789936427,38.88714100324709,41.98714209492165,44.74494285470571,45.98818936367386,47.61723662382572,50.93821218582638,53.509215736897055,52.98101294839589,55.46343636699705,57.917863091913354,55.604686252380816,52.004310329123996,51.63520637182596,48.99826706900432,50.76540777544939,50.449972885841945,49.41317813576628,48.34146366980707,45.24225083170535,49.43498784935328,51.682605831790696,52.766791479205835,54.02011717651112,50.03067982452906,55.63159192248863,58.878086991601506,56.70340816336388,58.66477809314542,56.68404909591628,62.17070635577348,59.30196314274506,63.18327642540919,64.3688926184369,60.62793484559984,60.58141366246432,58.364109634112765,58.41147780028039,58.72948811896011,54.109140581956,54.23937265390744,51.471651536291276,48.51833785137838,49.87710627173614,46.41434069879523,44.15082305579829,46.00043506688812,45.9431660297171,41.289142197391996,41.6636504488671,43.65062205671724,41.49849059469823,37.400340450619,39.156331063866,39.50180939574634,35.12968336437241,34.745119048616814,38.125198154462495,40.456501424458466,42.16955653285184,47.03071495478692,46.63038437150349,47.43591400793266,52.71078312733098,53.97206311148295,57.13412072078349,56.25470272653047,56.50671274173544,58.30665513509884,55.91038955094111,60.96973086216981,60.56875412340567,55.814096070630875,58.64834257645831,62.75348160919079,59.511721783036194,57.81770150882037,61.655980396399016,62.227359088708546,58.03443066208672,57.765791307495874,53.581330923771,53.93651046899531,55.84378192048084,53.07111120608762,53.1748581134643,53.131442249379155,50.37906091300655,49.138910097333465,48.50380961472696,46.600639234053425,43.791264694151366,43.71463908084816,42.270691709538795,39.12769015152532,38.88922447437862,42.26378511413749,39.74992486444747,35.7104815925815,39.525682801776966,42.56045641035169,44.264505938419134,47.33699771874098,47.879895081058315,52.13989385556609,50.32414384552664,46.88857025276574,51.42355769829835,53.10920952437466,50.37703508115609,50.91353786696364,56.41963189254543,55.34771060278074,51.385461412692884,54.526296716057956,58.72784549949171,55.51149453777698,54.244768870150686,49.830075583036894,53.990944281711016,50.778293424452556,48.07354583407501,44.46776061990678,43.30310245575251,38.766137809287656,40.77602681023181,43.42177487613352,47.241481218088026,47.87400017114613,47.48249432868065,43.80541891202296,45.94516920588776,41.88423086896387,39.00494866305176,39.58776152475083,38.91686547330188,36.07377992543964,35.64791805369189,34.848461298612825,32.294801241579705,30.84972343200072,30.415337173609107,30.733949822608952,28.35425058233202,28.88578869661083,30.21929808525532,29.639299837912223],[27.707030758126155,29.828207846872793,32.684950991203216,32.02621821456927,35.087985043155214,28.540436218694104,29.21636857743423,27.839810140472558,24.788263628025824,27.602925267711175,25.802610347839572,25.227281586826493,30.435509032313384,29.09344677680491,30.02624613364012,32.43006558529744,35.077226969050066,38.07712144610897,42.089143577556385,44.49388051334355,48.04584190624805,52.054130264906725,53.133431804471,54.38728667907908,51.61369077461556,47.56553234408874,45.955141603618706,41.67468871487206,39.59173734290127,37.18359259947219,35.84002307105586,35.37677985357372,35.27785761720739,39.5489309512521,40.33655246964452,41.277791231721935,41.056436635458034,44.92569557817485,46.752024419451686,52.47079189047548,52.3140922276468,49.90674476216445,53.784844969600364,55.529303083862125,58.1360016396864,58.15414443490552,62.00175337334438,60.33446124016898,56.75612520466664,60.83962743967459,61.73673394103757,62.10920427577438,61.66925443151915,56.8622150275934,58.37368151903915,62.14210240258387,59.00089423643217,55.801000842978866,60.17196868191637,62.04011739208679,56.9917390860571,55.39045813864841,51.757415032994345,54.36855135207702,54.20866762892841,50.28838718702052,46.70494139985596,42.67590482919162,40.903105259365745,36.604485846831686,36.98923656728171,37.54980658805039,37.87543715625144,42.68360927558343,40.91449637396751,45.60903809983887,46.905418148651485,47.3038312314241,48.42819100566027,51.45436227566279,49.88323389290291,51.96342847386094,48.821895899325874,51.83672181056333,50.59031837180063,47.03845184411324,48.02371209263981,45.727458661291806,45.411712475501155,44.35063924779316,41.91283801763784,42.297950968561466,38.26628903781194,35.373336376518566,32.42939415871833,29.83484808583096,27.71982367315045,29.990018693382446,28.451791094536624,27.457738838129167,33.2579148101316,33.98216026669964,38.23405014169368,38.46304766681185,44.25887577002704,41.50678683307491,44.37025584821335,45.90492811893152,42.53639478721489,40.16782380490024,36.77000077919605,37.35036238831763,33.17719174290191,36.03731036164426,34.15815939977487,36.88695483726149,38.26494705816505,41.14608879135841,42.22207445147577,38.20887188855882,36.502990081404036,33.84493723973376,35.69719291525677,34.17267124666439,31.97218051807527,36.515985328980015,34.693881300257615,38.569049669890695,41.041318577015375,44.08138535637431,46.51198298529071,49.623172286920564,51.23991093802617,49.331758968509874,48.0643837897122,44.038698531108324,44.8536988627542,43.19427389846051,42.132369663928685,43.09353910934684,45.54192484714281,48.97958306141339,45.94367084968245,43.901926036048124,45.537114446203645,41.60878012650829,40.01001281137256,36.995774804562814,36.40851924232663,32.054727355079734,32.110675875621716,27.345006713791417,28.680480996721155,23.252951604292917,24.290738062537827,28.535836582695925,29.870993364376158,32.96349539116115,34.61492892461194,37.97618922990791,41.261479406958955,42.35543644559183,44.62576822279737,47.551716539652794,50.486033832103296,50.54320520886317,52.850055925691414,55.67021888017399,53.46408671990829,49.9107600096075,49.190623557952854,46.41034591764029,47.62438083193156,46.91823774059545,45.5520472537073,44.11212603202818,40.970656415563035,44.79673269645689,47.443403084804665,48.460815543312506,50.23151452205369,46.20166415642676,51.91566283385454,55.301401246068465,53.32944140511133,55.17465669066079,53.284881312634106,58.84347957113789,56.44843889173062,60.215825578875446,61.467313595799716,57.591999903042144,57.70900471865203,55.53695465422935,55.52249858538363,55.95753827514361,51.524611723064424,51.510010566922915,48.993129336410405,45.64809618147676,47.10581891282577,43.32131059115434,41.312687583828655,43.67869651229911,43.3684359832756,38.71662929114224,39.87426354333515,41.749187555300075,39.09933146250525,35.550578449062954,37.75555878719148,37.964814068963975,33.43205280116333,33.75133619110494,37.4047273186817,39.697260035504065,41.14720385714901,46.296245445572325,45.32036554564955,45.996976712382505,51.06130948192954,52.45717467209359,55.288691041602206,53.8927383004454,53.94526432042303,55.38993112800654,52.75206796620521,57.84227926786823,57.86715084444238,53.16537012185936,55.64893189238289,60.03506333939447,57.11323262565797,55.222094411469314,58.95170650747887,60.024183816181925,55.99690004757679,55.33466937787095,51.178725623940636,50.85308862256584,52.66003140413532,49.86561086726182,49.52206172413225,49.325830013227645,46.359904943304706,45.58125363867838,44.997115802593406,42.66719351546211,40.04985701988287,40.487303525944256,38.838796223091734,35.64976106745557,35.97363448158576,39.369463487065175,36.7596042089187,33.05927791406503,37.27613358125343,40.20434408457944,42.01157228115426,44.696978765556324,44.975308839839364,49.320262209158834,47.99424142874243,44.65109266565425,48.89795894564389,50.98472519367,48.52684678706511,48.861058971810586,54.358601029554166,53.82006501744672,49.94710273519882,52.77646338767994,57.19788664328884,54.458111195534755,53.13279742635439,48.86194631391028,53.43785323771745,50.57036503440628,47.80038461057416,44.1108678329188,42.346136301441945,37.79535766704977,40.38337424460833,42.67177469183745,46.54907747667301,46.730640141842784,45.86544371041033,41.90895370348714,43.52193321034093,39.47414079822369,36.625820355236684,36.41014577876185,35.632702048321875,32.38509250982931,32.67264992652939,32.178110884319665,29.08497053843131,27.747735486457497,28.274800719566617,28.44461133087043,25.992578840167777,26.339302955262518,27.594388252233387,26.912794432731186],[27.036955130919875,28.72666465202468,31.25372692166717,29.914793485080075,32.74464579092084,26.27015892220104,26.455917358536972,25.241562341188004,21.67181522730799,23.98534768859023,22.01490657157628,21.85631530061979,26.810019863708106,25.07890328392174,26.03839592075999,28.640888584961154,31.10884788873408,33.987886805646,37.82089859647011,40.40126257137138,43.844195944918035,47.94024884493625,48.88075725031927,50.13000172363819,47.44599407636474,43.34075858158198,41.90640399142999,37.66027202775816,35.68630724810778,33.53367815979365,31.99663032796617,31.979026231220974,32.00523148874807,36.13650795378494,36.8682317904786,37.544881004562654,37.61391397378059,41.16961554449439,43.015775892412265,48.87821273040423,48.48462226942299,45.92660230997461,49.86971163883743,51.55364568580346,54.02961313218312,54.052846888938255,57.915160551820534,56.36319460831095,52.854013863075565,57.058401332207815,57.98181866833325,58.510602697565744,58.06376451629942,53.214812234642395,54.87464901391991,58.461957023039325,55.16709355724655,52.08857482274991,56.48778447470109,58.147715340845274,53.033475570233726,51.47314506421505,47.89494265370473,50.302153434579985,50.11268401145262,46.2875816714117,42.49253972220235,38.544572101415575,36.56236697983096,32.302165789993616,32.55982994446524,33.06986854778862,33.549384213868734,38.37051437168693,36.81617852961371,41.65276670676234,43.006903160051735,43.63991180465673,44.78741259617884,47.808702465282614,46.46357561346345,48.523279582918256,45.669265536901776,48.67096700684267,47.233703761437106,43.624521991830576,44.37661875406239,42.3347243683637,41.67456560767451,40.85024255475734,38.16537587392632,38.543605973552545,34.516249929790455,31.793426674483708,28.70535061040212,26.08554553588028,23.808692132335754,26.632892735097062,25.299833690960075,25.060644215982034,30.435969493261346,31.671936770309095,35.49911864061342,36.069287225180005,41.805216068352,39.10116741944356,42.294241946411226,43.790713734296,40.52726852224597,38.130452732403526,34.56392748894353,34.62410524404602,30.25565514826776,32.76529663024766,30.494923693392842,33.090324299839246,34.26436604159149,37.06950704898109,37.9185580215406,33.98128433566593,32.23517925251885,29.706808469016458,31.69398255870336,30.41567852313269,28.53121529737719,33.28889089212303,32.088534493084026,35.82833843396655,38.571554256205744,41.56309030500769,44.0984636694487,47.353659530031635,48.637928044900626,46.762636226044414,45.23846000090183,41.06854697053599,42.04706305786345,39.99438520776497,38.66945707615849,39.48477865569767,41.66339120363946,44.998739005002754,41.92097140306209,40.04321849300551,41.71962147708753,37.850265032208426,36.31252674980116,33.51031821191602,33.25728892588772,29.012872355567982,29.6221423722802,24.915685101664955,26.887545351388088,21.861203372495076,22.238899809590816,26.25940682462551,27.077396740563735,30.429296943068273,31.5859721937016,35.19154203143902,38.09099171733324,38.912090728555214,41.047864261826824,44.03610408664033,47.061118885352535,47.02446904233642,49.584068401019145,52.34773621007914,50.34593369801753,46.658544957492516,46.05936605094093,43.116778622255524,44.387980052685755,43.74162201262596,42.38464548093815,41.199268555058744,37.851042241307354,41.96419276797639,44.34560286858596,45.58792193945154,47.13511859980136,43.40385109520002,49.129866766411816,52.44065434453073,50.285182502631,51.86337573408275,49.753477503593686,55.299568247923595,52.84591216954529,56.72877492172388,58.13647588680503,54.34205306734996,54.67504825195156,52.66982118618798,52.87142023678105,53.54496379419002,49.154963050828584,49.45752141128126,47.14967257694685,43.85352043871277,45.753171567270044,42.050658549491075,39.74252539448166,42.33411153871274,42.43958698962369,37.67413269132229,38.55277034420415,40.90109030525667,38.66290345544748,34.7643701535064,37.10072477296298,37.76923670921385,33.20130898577759,33.21566332203135,37.2294612062084,39.169331688965876,41.22536422045273,45.77218085275448,44.81077627409168,45.874347453555686,50.9195509273505,52.73690679191054,55.31726800189222,53.8989777679882,53.646505153816676,55.01656210555709,52.11559487600713,57.14094495091948,57.24548578775284,52.2222096104235,54.58302373945389,58.99060317114468,55.972397454189114,53.84721152776465,57.4294541463074,58.587077675266265,54.54249889498188,53.46677075769461,49.603982607009144,49.21089737234383,51.28463666600885,48.84802508675112,48.552950257376246,48.780262098091725,45.501523983908335,44.54859800329815,44.53863085638058,42.243404694318734,39.21374383997945,39.87728761141362,38.70907342310994,35.51845627470633,35.6445504471724,39.47130135098446,37.193564386177464,33.35664214734999,37.53274049828392,40.72016325291622,42.18340252860402,44.790448000363924,44.68770107766223,49.10779472239896,47.98928210457071,44.21162679942039,48.296857934855275,50.560926965707544,48.043551272066296,47.93117871430155,53.60949600002057,53.19806903368972,48.99475061704957,51.575957519899475,56.24225365067813,53.49509285815842,51.85431051068294,47.600456033227104,52.2705964030729,49.44740139448642,47.031138055995214,42.98287693688964,41.26192287500983,36.57718135137583,38.92980755734601,41.07797576192006,44.92730046914231,44.94582197713652,44.31105874148808,40.00559728676004,41.57218304347437,37.22149368471294,34.86390231072547,34.82996754593911,34.51772678308599,30.98641560808386,30.96424267804386,31.093585529090085,28.228219703222358,26.047424584142256,26.91684498209988,27.838520533733163,25.874927796017708,26.534428176485953,27.839733975719554,27.214519372365192],[26.046631254712235,27.482275583089272,29.422291568759714,28.695947011670548,30.781214956355882,24.091680230772074,24.09750352842554,22.12102316185971,19.075172911133187,21.77215067375023,19.704568837206544,18.640295913277107,24.070591055286137,23.226863961861362,23.77651277964722,25.945982252295664,28.90516230877725,31.91649704657209,36.248560428820305,38.30845753946117,42.0124148551825,45.85781612886545,47.18612997793834,48.50743071816528,45.62253246436589,41.715549530623946,39.88286340970278,35.621552341351865,33.257417888100534,30.60150062597479,29.398228294748908,28.60299350560798,28.554376971023732,32.94194876044286,33.61148625941824,34.687645037880245,34.30723521806003,38.41225753917491,40.322845150702875,45.91352816235394,46.02229874942575,43.60517302932531,47.36601451370015,49.25485308561039,52.048273750264755,52.219419724063165,56.01280440702085,54.09545062641841,50.59629642672128,54.62216211162344,55.309226610381685,55.59096377848705,55.048036881625364,50.306656860083976,51.63958472501813,55.49805426768437,52.4867317588792,49.17168054997146,53.52386459618865,55.55417969050594,50.58374854159747,49.01288365816302,45.38414785336157,48.25385683566753,48.012252797025646,43.95351223318192,40.72263624612064,36.56233874959799,35.21951879664202,30.873775155639958,31.620002852417826,32.57004383918083,32.4138877665343,37.11934957416275,34.91022924408329,39.61572546006461,40.58688504306069,40.913376591999224,41.85809565829862,44.817177536428765,43.10269590212784,45.20418021460565,41.994252302637484,45.09405766125953,43.968896803629754,40.33766905012218,41.375286332370976,38.93574005813258,38.82531707696014,37.743751227002505,35.50256809802663,36.17856946344476,32.10048039247804,29.020694723816092,25.97528747034081,23.612068816808534,21.440327549097027,23.25739368982933,21.611170334412353,20.616612728673967,26.375383380604195,27.28031815038512,31.434779300010707,31.93233692004185,37.79665134349781,35.33650324649102,38.361071317929905,40.16903758614373,37.109439034039916,34.421792596397815,31.263797524051718,31.477590985916994,27.389967914082064,30.30958556502959,28.321410653060497,31.34181947371593,32.53382027019162,35.75381702030831,36.75133319657079,32.4659712199681,31.10173992279319,28.39362219333367,30.65334331000374,29.00699946203489,26.794360631430827,31.269725951400794,29.578437441039995,33.15717838011507,35.6451259743135,38.2803640481618,41.17899350742947,44.10198861749603,45.57254388612744,43.342803339709995,42.35377441178001,38.37950616413593,39.7668288560967,37.96834051615583,37.041819251703075,37.62265991188765,40.37314847245729,43.53251911836521,40.26173419520976,38.13396146862708,39.48230441888802,35.37419051404673,33.95101529216119,30.72771453526416,30.127795737063582,25.856006197646877,25.95262609842922,21.06266632120518,22.424250874302835,17.200746429188005,17.644475634979205,21.842780040010403,23.166339457625877,26.41842039845783,27.947337640774084,31.572657746477784,35.029624847998235,35.91617586198565,38.578108408121565,41.22731827212224,44.43127777644081,44.89598284158721,47.15793888047815,50.222846879597775,48.21808505795226,44.66496582162836,43.723929675251306,40.77255024577953,41.575873200159094,40.618539043639366,39.0431501823919,37.48715831705897,34.25520709692911,37.997259722383916,40.73775229084542,41.802397086621696,43.782434621792206,39.88193349111914,45.66036626504824,49.091708200557655,47.1743344756763,48.818870337650225,46.924488058193006,52.50859187937531,50.427268720591414,54.135879175074095,55.49057476630314,51.56808132769313,51.90916963873333,49.87179078886258,49.93599669899987,50.60962636462905,46.3793792540048,46.46651544611407,44.3200916010868,40.722932935436276,42.58930813591511,38.646741642565075,36.62421663048498,39.566526855022346,39.393277736840695,34.705433940987184,36.27818768127114,38.416594975785344,35.74998027691977,32.41850452129812,35.07386165807552,35.56426532994611,30.960252016177925,31.60836972656285,35.71949665492579,37.63109976228755,39.36396142030487,44.148232723816285,42.717886702745396,43.61888653133333,48.439200449776784,50.317648978675216,52.629106787862796,50.817014500566735,50.436110679498185,51.53396424283678,48.496665005549154,53.52789394065744,53.94209621494731,49.03563317211482,51.132141969473835,55.727627997964234,52.99216978444897,50.76980411125158,54.27924304299061,55.80554312670188,51.92103795795381,50.63706962814187,46.7516555650577,45.84001374468143,47.767798046975834,45.26609351934012,44.630780013455265,44.6965462972666,41.31618675291391,40.72871535279858,40.69161192024232,38.095840112150526,35.26764145605917,36.29841778639766,34.95232049327732,31.765496575353882,32.34695474963752,36.11599761998441,33.79386426045173,30.29302031471413,34.71872166323489,37.76574383918499,39.29818468181097,41.570879760892794,41.28544106322089,45.72651386833064,44.98527136610568,41.35779315066463,45.19003036746123,47.73230826209105,45.466053515665216,45.25250258209712,50.84873406392033,50.85226087095031,46.81350370556274,49.16027973645476,53.92428023857866,51.592975611663064,49.981429489480306,45.8887399627763,50.84197878189578,48.32921537228184,45.82150184701663,41.828756289564446,39.609549737809466,35.02441611711341,37.88772545478189,39.719870183132834,43.56894626792266,43.24160259352588,42.15375816485812,37.75117642558386,38.86713323512076,34.66573789536086,32.237563731033184,31.49212698737322,31.015954196238916,27.24434375818843,27.880389628250605,28.16082462541086,24.865213259073634,22.951178464936785,24.60101216017115,25.26342959031845,23.274121030888132,23.757933504677816,24.97557999632524,24.283642674457866],[27.050262527688396,27.96529427837259,29.3891904345764,28.008109141018338,29.587902744739146,23.069530619344068,22.325440834478716,20.327893091699565,16.725510385449844,18.640149043779076,16.132083928806942,15.322610732000772,20.572371771308873,19.438693439204513,19.66433233161734,22.020793329466652,24.998545450994534,27.76343301935122,32.005782149673244,34.167185226198406,37.763485648169436,41.663081588845294,42.91749722222035,44.316350350241215,41.54031646704239,37.607347756345156,35.95368326299559,31.75416803864053,29.346738994176416,26.877814829033618,25.25651392519267,24.950800901657406,24.878259856062805,29.098952801003815,29.825856847278523,30.733762089198308,30.715728975457047,34.61362268234704,36.64558821228513,42.353990168978974,42.314281279563474,39.624799848405175,43.39833453039601,45.3267390157287,48.032221332847755,48.31025389010248,52.09846073689014,50.210849584290706,46.86760255927984,51.03574902929292,51.626190162949115,52.06121278284006,51.421601307343394,46.67411367970173,48.022401262751906,51.70368430013798,48.57399131560882,45.28299658536814,49.62270214316504,51.51705225657436,46.45663419230483,44.82593441902952,41.202530097146315,43.92138922657065,43.728440747812265,39.75429885486375,36.357322396815825,32.240655135201,30.81807855195642,26.45302093374387,27.20446587118935,28.10419733370781,27.912956648438353,32.63290487470324,30.520493301547447,35.28336185629812,36.36254899523065,36.830633375119,37.866336246760184,40.88417199927146,39.437514841958844,41.63169888913433,38.73189107032489,41.92115554385119,40.66978163325216,36.886086063404235,37.60158478211635,35.32026693356154,34.838940441214916,33.846645904474386,31.369062156013097,31.97316455624833,27.89435788985957,24.95942821799518,21.852285711052822,19.38755119778137,17.175746190149194,19.526422414013776,18.240991738844137,18.168693440417957,23.403400904650166,25.092643991728295,28.702247595255223,29.7806027338837,35.59579076069047,33.365964210722495,36.75613894525267,38.63512425871962,35.82130814432833,33.00917597345273,29.821657637782472,29.34646136467971,25.118222853898356,27.62711338244469,25.096446809113885,28.05976276093569,28.869701238827627,32.12475899345872,32.70645115384819,28.396160079605956,27.151306852502593,24.645270542991884,27.280824202460554,25.940996923076398,24.152475598857254,28.820323894387467,27.888217738615104,31.176136330158933,33.92988166527616,36.3432747844121,39.49705789202811,42.47723990362305,43.56030197575035,41.247291983468635,40.11093240288197,36.0206675452543,37.76782635750832,35.506625644677015,34.32216070134225,34.59353525988833,37.093836896638116,40.01243645849836,36.58773693224991,34.65715720679528,35.92490206459571,31.794142080102652,30.558060585349256,27.505109245148684,27.322854684378758,23.254540420215015,23.999233077513704,19.180771794581954,21.15702252357238,16.609638860151627,15.922289910836218,19.771052921419763,20.52115650018711,24.168430947478743,25.030069968972594,29.1086997349665,32.209960281665396,32.638990842184455,35.3456154820445,37.927787121482694,41.37574889618733,41.89243960832418,44.42606001584549,47.50157966699893,45.7927601112122,42.10522851340479,41.23177374357398,38.04832474207418,38.7493096926844,37.742258359602644,36.05899854948193,34.71234412458542,31.172239551026394,35.14214274674178,37.685320155288295,39.03422346934985,40.908773989055234,37.41181973106544,43.215500879306546,46.581805538145154,44.50054339128537,45.74574643989776,43.58385799252831,49.16315096848264,47.16355159414994,50.981278473437605,52.55714195710307,48.713344614512536,49.37668001612291,47.57001469425368,47.88334427145457,48.87011642764901,44.76650697754048,45.18923999721705,43.36174116390833,39.767373197760925,42.132814473179074,38.257241424721975,35.98976205207696,39.25696318930826,39.4822256856595,34.75250609529968,36.15301266124307,38.73596318638811,36.44883093987302,32.92748971003514,35.73554106344703,36.65088455175514,32.089262054042706,32.52348201630125,36.93198683502014,38.46387114811838,40.716463929044224,44.89271076515065,43.41444573568036,44.66359847686024,49.37752174923995,51.658715754799076,53.65792616655919,51.75739434526387,51.0428251741407,51.984869841918886,48.65541878823355,53.57910573202092,54.162373497454965,48.97788174141522,50.849214116585344,55.49119093482118,52.7410130474781,50.24577977499059,53.54401118634007,55.25534987711531,51.41477764327051,49.60633287112023,46.08628022364987,44.95073700173676,47.13525736728569,45.043185181807395,44.356602205925164,44.83564638406208,41.10311966707961,40.45744955213233,41.04880388436229,38.42110594218075,35.24771758510248,36.6331594744746,35.76509037894586,32.636186001328284,33.12521997038179,37.252264497700374,35.28072678342941,31.79602429091338,36.148086870201126,39.364899568322684,40.5624862364349,42.65609360638344,41.94434685448291,46.4200857189942,45.98452484535376,41.990540409147485,45.55386956398614,48.32110375807292,46.06847756939634,45.365064206944524,51.08766143753973,51.31048471837615,46.991503722764975,49.00247441930789,54.014755009361146,51.77198022954919,49.840177232540206,45.8305103695977,50.8891089193996,48.49645538167509,46.36302311419832,42.04840797854593,39.82179450073163,35.17370494425128,37.82434552529752,39.42497840390773,43.20041036219893,42.62620744637903,41.71871936019183,36.93496588842976,37.86406338347591,33.36919325611532,31.57194645218136,30.849249534163953,30.891704948987872,26.769140827838488,27.22458406467655,28.29402501338019,25.226640501740565,22.425493013778684,24.668357686037734,26.086828562203664,24.647026819167962,25.405081442891674,26.617091012041406,25.944052638506236],[26.578027599990737,27.45148024621808,28.599314783988994,27.820315396706587,29.007428682495448,22.386490283820642,21.71485672759939,19.165638864072918,16.195721140180808,18.574482729610516,16.17416625187156,14.525267026470559,20.14790226448461,19.824645021806255,19.818102772096985,21.733778927692605,25.052866089546644,27.961555130458226,32.55283175222464,34.290175162833464,38.08341398514058,41.76722324125227,43.31178116990047,44.725659115065305,41.79135757773382,38.027224901212115,36.047802437480776,31.849472932724417,29.188330829435102,26.300562132007816,25.079352782379804,24.017041979706015,23.899422531689837,28.354681031635653,29.00579655042042,30.26018141915447,29.793834089753055,34.14546610241015,36.178761881149455,41.63754102663412,41.99782455173916,39.502494167203224,43.1283942833222,45.18093068718785,48.12282485623397,48.46949601000114,52.19853640325234,50.05548399522561,46.684388676914,50.67518635413702,51.12923735868279,51.34442332776748,50.66852124296704,46.00791014044201,47.117559228409725,51.037916793539345,48.14749824671841,44.6927357434652,48.995935514765925,51.18379201103427,46.266210231328344,44.65498975149966,41.00919071257613,44.089905460915496,43.842552775691914,39.6937721784876,36.76932400563851,32.51847793947339,31.59550157402085,27.229051927691717,28.319433575038243,29.532666000376388,28.911431552122984,33.48868733750637,30.895258315615756,35.5139396086776,36.26993454659674,36.475323625745865,37.32614003892339,40.26847620567653,38.47594907196996,40.66673515376578,37.42270189476652,40.65316347761329,39.665393018609734,35.91861075400656,36.936465975605564,34.32434506511407,34.362629401215024,33.163069784892706,31.09981101673349,31.951395703824165,27.865458246671345,24.637376028076925,21.605813093978554,19.42399941930637,17.346889450521257,18.650176937813796,16.996972635004134,16.01893205392588,21.726981715158647,22.948851952020657,26.9609012298069,27.834854134665118,33.75299541390402,31.652010728580272,34.816036776877226,36.9007134477505,34.1828874822049,31.19862092025869,28.339270070856372,28.156977278871715,24.213445236069823,27.114756929113565,24.9752942407345,28.229574677392133,29.155485522276468,32.6604417207205,33.470093822357434,28.9684014508033,27.9769911800174,25.319568000856897,27.991434643450226,26.32064174505809,24.20260982576213,28.54926274558437,27.066658731961887,30.28565526788906,32.76458818504915,34.966878720027026,38.29966272166963,41.018722645722235,42.333949086325696,39.79814108693923,39.08660037668491,35.18573422317978,37.113638077104085,35.17353694469187,34.35032825634832,34.54528079385064,37.497582957160304,40.34682002193073,36.857851114221965,34.706183348855916,35.755068976783896,31.484715479378092,30.288286304225608,26.89654845536657,26.336236303350084,22.226238035849917,22.393888362209413,17.43933341241925,18.748929994223708,13.913388790948215,13.47423650011238,17.569789372787927,18.89347463681974,22.354388845637896,23.682242707323894,27.64512694679661,31.250037171567385,31.852513467863012,34.91757591867558,37.26184808844354,40.754465481858325,41.605289554303326,43.84326821617001,47.110749475297645,45.32225901379113,41.78273149754413,40.65797696729825,37.54961511721107,37.9433250769114,36.729753853122155,34.92165310584884,33.24531990740762,29.884043165840275,33.50400507754361,36.366757255460705,37.50404420576239,39.720997805446025,35.99835370652377,41.82040508180374,45.28358731024885,43.42049696986475,44.82197082569796,42.896104549005145,48.48828254451342,46.73204054294767,50.38270620689964,51.85357943849639,47.90874534149289,48.48578099597462,46.59764749558348,46.74632368378615,47.64502316622585,43.63066891607561,43.81314968381033,42.01922869024947,38.231064625228576,40.435941090804725,36.39381059548246,34.40050480541941,37.810047987933004,37.74267887794051,33.10803111911648,35.01637310420194,37.3250432600957,34.67133537878833,31.612492932885186,34.567147243116366,35.25043667662523,30.70231752017755,31.598569415028635,35.94630808363911,37.5441670243178,39.43835676739501,43.89500279408239,42.13516832810963,43.1816404766866,47.750438820097074,49.95901405684849,51.85225471650752,49.72354464112057,49.011649402744304,49.80671923222377,46.46720299748652,51.40981043658819,52.15754599973062,47.137118411972686,48.88126323450898,53.62725814044867,51.07735522284453,48.59518964406589,51.89107631818844,53.795463803659686,50.062761112897036,48.259599463262795,44.64056303553903,43.211247974969396,45.22130616841406,42.98604914575508,42.077038843738436,42.34293914257523,38.63040304827424,38.26068326301885,38.679925068326796,35.85783482773423,32.92329752368734,34.48028535555367,33.382034513881294,30.265127114928987,31.09221916818543,35.06357714560879,32.99726127001851,29.775391516760738,34.266260042186545,37.32360584115635,38.6377695945115,40.53763839442016,39.808623306273034,44.26960750952508,44.013880954161024,40.232320665192006,43.674146047190135,46.559253553305936,44.479809180367596,43.83776367365337,49.44784439514338,49.886642835760696,45.76874467084461,47.703304465380945,52.69426620339409,50.708060916887746,48.889663619164025,44.9830444061588,50.17097431873801,47.95435324356427,45.67335898020535,41.50899582674871,38.98024552489558,34.45355531392679,37.46676170099413,38.91307860106379,42.68206239116155,41.95285780473996,40.70243950023651,35.98555187760603,36.64688238850359,32.36394389608853,30.37042674291005,29.137033439156333,28.937945727416558,24.751713699154983,25.732958199207246,26.714316324702974,23.325045955960896,20.962485106471984,23.59501682090434,24.63252404690777,23.076108274753118,23.652279321501407,24.776447316040304,24.027136585366797],[30.08072782179007,30.927106565829142,31.843074056534952,31.314559422385617,32.091420481327425,25.54476097677442,24.623515194309434,21.611167939072462,18.959367846947146,21.00533640889602,18.252564684622143,16.004456074312987,21.696367482128615,21.805371502313612,20.882520159145677,22.545580038079503,26.392321744262524,28.860660340768277,33.60330600901391,35.05346951188373,38.78091106769003,42.27328113665313,44.018379218432656,45.6774602818949,42.84261872290547,39.23260283054863,37.27424542608461,33.23243493081768,30.168056499754027,27.02203438556643,25.184685859391102,23.995964982541782,23.160509339503967,27.489984698071606,28.646359859323475,30.40397206483947,30.017543370968646,34.812957778176155,37.11277328755459,42.33600094265465,43.06078828974322,40.2838900218875,43.658854878773376,46.02261579795813,49.08915789531896,49.73404302333297,53.36519436659874,50.960679176752706,47.87042155313219,51.849725674219506,51.91703161695379,52.050969040531,51.09619327579604,46.60907093172359,47.19635368834423,51.16943746967858,48.492286797993415,44.69808356537207,48.78370890410083,51.28143528486078,46.35787782848624,44.38509134020512,40.58139828963814,43.85786053561544,43.92931791303325,39.80101516811193,37.123866637397,32.8427728625299,32.36718632001448,27.947921960527708,29.352807132939255,30.382081761545514,29.279341263215077,33.758882539401625,30.850213858523567,34.93376940560061,35.922664420763724,35.63376122923101,36.752793804578616,39.90163404543161,38.17079932842686,40.74596994689993,37.437554266389995,40.9961368715752,40.3477048060818,36.374961241792334,37.211775104568126,34.15079327283824,34.297606984812475,32.3983113595984,30.57217243604514,31.068278503087043,27.086775695314493,23.774319677138465,21.397204310759122,18.978734389153363,17.749262938681365,18.367629365756326,17.15496630872891,15.668844130702563,21.53514458526066,23.14338876596863,27.1562483249052,28.52518759758184,34.52640276854705,32.96047805475351,36.03256334324067,38.48975905916983,36.102469128364284,32.82782333239264,30.442270656302053,30.13771542500187,26.48085341863267,29.39750305538856,27.130151808762655,30.52413613236549,31.07585589788311,34.78304615296297,35.12551890032844,30.479421707789072,29.89273301527125,27.4670984717409,30.550176018482738,28.990757143910173,27.020984985716687,31.211723611449155,29.75638207760712,32.68812052780574,35.016852587980836,36.77663776700847,40.48389007813433,42.89800476435238,44.216737952136974,41.322718197500635,41.05831441652263,37.31249055397462,39.664051621550236,37.70730365994298,36.982018327467145,36.849690236641614,39.877526332296746,42.39257814279377,38.67964560896896,36.606288944965456,37.308409703104,32.87051999427486,32.013485323834274,28.484270301886568,27.950160301772588,24.090440218311407,24.064299286780443,19.11399653034554,19.659462741182143,14.930504401319553,13.945441462075104,17.996572904302436,19.774961030019647,23.326117451389646,24.572369007787962,28.90299533229894,32.81270052244237,33.037419863863306,36.62126923518222,38.54301068495099,42.393114264463335,43.66348996948405,45.84775070002054,49.302914891267946,47.69177213029295,44.20109766060144,42.90401896852851,39.695298267051236,39.63537425790661,38.08812653959335,35.94315964371697,33.975882465187524,30.484834790573494,33.63645234559254,36.88684903619191,38.060353024027876,40.77165678335216,37.223389641150206,43.05430578497986,46.574293712164334,44.8692136164756,45.99072411720961,44.03900411570339,49.613888074576444,48.3032904182534,51.87073308937171,53.463804072368966,49.501097222653726,50.29661663374067,48.527068448154594,48.6778278069785,49.692561002967835,45.88712921795264,45.98711681561723,44.40285898386262,40.42106913944242,42.62612165637708,38.43037903874539,36.70258097088809,40.352737622418104,40.068276027358294,35.57177679298311,37.92441529056008,40.04815152880427,37.080403050748565,34.49043238311718,37.56157813026284,38.05323719009137,33.54698804904465,34.80221107161088,39.0743419765884,40.71815982985199,42.314199868058566,46.98092519718313,44.99443917054931,45.865052965081645,50.26661180518237,52.38588684326464,54.16457746478659,51.76015840735232,51.01177311497371,51.57057986873515,48.159795866720785,53.06667262839911,54.09273192574752,49.23970569235803,50.729537720363886,55.60740411415679,53.316015090461235,50.76529969888201,53.95265848425656,56.15526060654512,52.57051292334546,50.56920785039246,47.015885134657104,45.13613035136916,47.018932358791936,44.767121650031264,43.49376327762047,43.541604947718305,39.75225302521922,39.84351837794019,40.19369542337928,37.04107772560287,34.44537683647954,36.35547797921794,35.00377360035553,31.94354165676442,33.233011642746526,36.983133849331196,34.79056548805919,31.94287269943724,36.57317383315533,39.40467867895055,40.873944378590735,42.51420712513391,41.72540763731058,46.145251085876204,46.15847503992617,42.61687303587838,45.851272263774106,48.89877586093455,47.022064099353585,46.365480350859876,51.85225540549224,52.55404331151597,48.59779488281606,50.38042891156617,55.389374596972765,53.65923274294765,51.88181209900108,48.08710205363348,53.365081157869646,51.295434564821015,48.959973113317055,44.8818875102847,42.15877349104473,37.73340346228109,40.9270740754366,42.23450922895621,45.96721388001386,45.069519354167454,43.60068177731212,38.8531098682095,39.18428355737219,35.016178908782635,33.109914778146575,31.348049667011605,31.02938482179178,26.689725859370025,28.24245993552298,29.33461159416646,25.674263469167663,23.622018819710252,26.698518568067897,27.469366761431708,25.801728374107494,26.160619976985696,27.179678009272898,26.31273755782787],[30.926001078320763,31.950966940829574,33.33499029006738,32.172273505923634,33.54894873477616,27.01160931097679,26.12415712112438,23.743476207892922,20.345785905820144,21.99217580083614,19.109477931110852,17.81545736827885,23.183509971776722,22.303528553157935,21.648532767189305,23.88467405462011,27.346387953695274,29.626639942780866,33.932517097175,35.940364340453606,39.40834606074121,43.18632531781222,44.556361970306334,46.21887231330744,43.60028588016312,39.763694961037004,38.231703608418705,34.175527018698496,31.41094602584102,28.76609882055609,26.36011832496913,26.14149687730484,25.308022936117354,29.33322654126955,30.65570924135825,32.0114615741928,32.20012174111186,36.46456893246865,38.780418849875375,44.33098003768832,44.563994209592884,41.51485976286835,45.077220537509795,47.30352726441985,50.07075748041486,50.638295453513244,54.35190300731259,52.26718567470509,49.21336525542635,53.429836945000204,53.66193327857923,54.072608962374844,53.150147393818635,48.55052433545685,49.414245271561484,53.09404316565906,50.11547539686421,46.49829258176796,50.61993817242481,52.765222682460504,47.638397253119884,45.586886475745516,41.78084472308412,44.588454949941124,44.7846261303725,40.88846540457731,37.57618622844696,33.46366343162141,32.34061310896743,27.895887735782004,28.866993262261396,29.403977190103056,28.852387955153084,33.54362039380411,31.26985898458353,35.476120872295084,36.97879401321048,36.97466561846949,38.3963450263313,41.68419120467236,40.40737447204253,43.02422650158028,40.12314556133636,43.652711174854666,42.68809190037966,38.652742829266785,39.10697274804318,36.42685709234143,35.90842678728105,34.19588537364801,31.82441532464618,31.904134232964246,27.93565737533199,25.005950925263658,22.597429350563694,19.7179422196921,18.400597630292772,20.364589263924966,19.594339745061923,19.15520240511386,24.557303892517215,26.676545800879733,30.29130893162437,31.85404231243275,37.78049075394269,36.004400618239785,39.33126480746962,41.532690043856846,38.96027790328791,35.8968489430699,33.06973743829773,32.51051557470676,28.468266743397276,30.988744858970175,28.273446268075766,31.3305167207416,31.762690999021185,35.163044080158954,35.204121389638786,30.790429296185827,29.87907247546959,27.64106841872527,30.669682580408313,29.497484581192793,27.874315278619456,32.479986742514264,31.57918708995396,34.68162586010644,37.337079746934364,39.417601150448014,42.88100794968138,45.633554539491094,46.72517332577231,44.110577709549645,43.325726877251086,39.33239986224093,41.414574942637884,39.104117580639,37.9444520668096,37.945997622289596,40.42388734357004,43.051959464401534,39.418932107193456,37.614666862405684,38.60353923391561,34.32155158529995,33.398818811339055,30.255019201505114,30.143572131972213,26.25262066040974,26.849026713248616,21.946774949424768,23.273163657587865,18.606528519851494,17.56311838400568,21.487234910920098,22.644254752610767,26.43144930142875,27.201034500333627,31.663784799318783,35.019931039982055,35.07205437332446,38.2220197714705,40.45824231333862,44.252028695065015,45.09550503860285,47.63932337405207,50.85800808789679,49.30699423122021,45.63047389855252,44.64115630761702,41.34916889156288,41.69244596979603,40.402930491132324,38.41212540862571,36.824500207374214,33.112945075820186,36.697469407098,39.58837270330431,41.008772114107764,43.31995837301508,39.99217980991506,45.82839645266236,49.25002408522927,47.28114750205759,48.24409216828119,46.005099272288554,51.58153714358027,49.9574864324127,53.739657599751766,55.45460710684313,51.601773595373274,52.47561455162063,50.773919027874705,51.1005378900533,52.18507242875673,48.226069363291415,48.57730957105805,46.88308587522288,43.12214348736402,45.45240799938101,41.42452696113584,39.37917271364697,42.813185894124935,42.81947388871226,38.16906096525813,39.93114058489518,42.32916969084145,39.723152123594346,36.5586232664336,39.437167622178094,40.13369147771344,35.5588738992353,36.286031322933354,40.600369424930946,42.25912953565934,44.20728416187935,48.68041893159682,47.0575857209585,48.11516736446718,52.75044983558685,54.88083125966413,56.87262674506866,54.77165439993449,54.091289848789835,54.87381488788087,51.51936553812575,56.45153069844446,57.23872228484131,52.208602605133116,53.912153983727436,58.67134830901682,56.11747853196839,53.59128575567679,56.834744373804554,58.76388747953464,55.018277546597616,53.098304239165145,49.58812786224714,48.11511317875048,50.18159221561196,48.01901322384786,47.031605090473924,47.26765785894313,43.50064109976448,43.25205827795397,43.694860375919355,40.77365540023804,37.920108428503475,39.55319862723601,38.38001174233395,35.25789101824798,36.14667944195445,40.05476145677342,37.881800588857466,34.66189179159265,39.17878710235148,42.19847970789267,43.60802886454029,45.55061834686692,44.87489111793584,49.333711070024535,49.048102046287525,45.29407186432654,48.763555962528926,51.62853119214378,49.51531880922528,48.88204942704631,54.5153005639371,54.893975310035685,50.72060724189382,52.67919895629027,57.684537127000816,55.59584323111369,53.73098736910147,49.77112420519434,54.882551904428965,52.5460654286145,50.31225181744172,46.09121802307825,43.745866769562454,39.14868117728368,41.94178810418505,43.50344629166635,47.27862049497604,46.62749910452751,45.55702016110367,40.76626616158685,41.47671430126521,37.05838989150668,35.26343239245974,34.12641880907553,34.007468722169605,29.756225923255577,30.697494484475794,31.756542616449423,28.39690070416853,25.93017545680467,28.45545388898347,29.556838607086416,27.87705210713448,28.409578969636424,29.54986422864465,28.730437255823563],[31.05667293281479,32.60143970801225,34.58805118545737,33.79379272272202,35.8105248778949,29.137804665556835,28.89937097557725,26.731621631412743,23.55521239188105,25.760708371144972,23.2207402719966,22.014451302102394,27.47442686822755,26.5256489194997,26.309713919090598,28.563314375352167,31.875508852921513,34.34958073282277,38.59747911811142,40.700079341375144,44.187432367152226,48.01033024526401,49.32449582379043,50.91213505773136,48.26505277999132,44.37154270940997,42.809969678210884,38.68030812295615,36.05672315391323,33.39459116719005,31.23512219942978,30.844128522855918,30.063074940026524,34.15167053045606,35.45298904272305,36.834707200642725,36.855259853448985,41.149009658909016,43.35744768549588,48.91235409150974,49.125373726522604,46.239267619226936,49.85457816015562,52.000761058812465,54.75294279381224,55.195134292209104,58.94354457573153,56.935781436511775,53.74715717513195,57.91495419192408,58.28971613078395,58.64496133292683,57.81922621595491,53.187637761654436,54.118876192160506,57.87391189448439,54.90984205455694,51.32283847373683,55.46546026187887,57.62896426035529,52.520510270147085,50.496757891839984,46.68880949157511,49.48228566603247,49.67419428730723,45.77681022950424,42.41279015239489,38.32110327158556,37.05155240341155,32.62358560247276,33.43230413953783,33.86331371076328,33.55399433656662,38.28784093924942,36.144823984196655,40.334495511757055,41.88942634027219,41.84366413283858,43.26970964080473,46.542336736332665,45.15538557700876,47.70147837141525,44.63310467223678,48.079867870557074,47.13479482756135,43.21348789204285,43.85051017947261,41.14022322323169,40.76580939857017,39.03475029051841,36.726141417703154,36.75321316201313,32.80939543824833,29.876850540205318,27.492606463397674,24.6241610433138,23.241596381469332,25.119196871086505,24.103404245789335,23.121697984734407,28.87867735331538,30.420260460891505,34.42805660331567,35.52250613161236,41.481617660649476,39.440189543116546,42.51335739374908,44.58247065007578,41.73566002605762,38.84189789158025,35.9130432721985,35.88522714946935,31.83637320496456,34.60231020257952,32.21847508490481,35.227089859490476,35.97632486231895,39.24830829256843,39.58496588644219,35.267371579981685,34.1211764669373,31.741827742383055,34.410777428724266,33.08621657100292,31.193913365409934,35.78340159272518,34.39314173373308,37.809795320049304,40.33306837003424,42.71204355141443,45.87580523499072,48.680717307151056,50.05724607992377,47.59770851672694,46.78788724149738,42.81308153863334,44.48827413515108,42.474128583667266,41.40015310108761,41.72945884741635,44.25525368256856,47.15187587422128,43.68175617788184,41.780154484150174,42.94356815129479,38.72398337222007,37.60067966146835,34.41520068658158,34.05816399894054,29.95955389799581,30.17686049975349,25.212344585519514,26.221310496465094,21.004196488768038,20.905632631855706,25.106960883965826,26.598136421211734,30.112900329687612,31.346091974518565,35.45065287690021,38.9673990273735,39.38472206457112,42.360564272852386,44.76637065061245,48.324902289469364,48.98455693189477,51.40210123618333,54.537646903814654,52.732821391901666,49.113022806626645,48.16238061258095,45.047573168934804,45.61470802163404,44.44880479584408,42.59946416364216,40.93035590056742,37.42755816465714,40.93612025794404,43.90941616327536,45.14539356906749,47.44067445358941,43.805727214782976,49.63083236013637,53.08696508562773,51.18533813177811,52.46516401282313,50.37797626729541,55.96603608328347,54.16482466722998,57.92290560655223,59.476714741045875,55.58036853606892,56.185808097224914,54.29316643123492,54.44837137310405,55.269125904133375,51.14462862540318,51.266446009335006,49.247670084031995,45.55247634225951,47.461707852740524,43.42616339661055,41.515395459896844,44.584151340736206,44.309704665398066,39.66856395971281,41.402279910677734,43.46869731140341,40.62767717251787,37.48710806690226,40.14770718922942,40.50605757818987,35.90538270254407,36.65685422689292,40.67342129112273,42.68493360565983,44.238834613537705,49.20836866896881,47.7562483826175,48.53463995288544,53.32611698682408,55.055681122135866,57.412455263781524,55.48988165908918,55.15538802534329,56.1457167266984,53.09139799802138,58.12330726585647,58.68495238270943,53.877511130942956,55.85080406372005,60.52850027402867,57.91487547092174,55.6536212100484,59.108250651667916,60.78075320994683,56.94842647925117,55.5424092437914,51.709758716047006,50.56345212356417,52.44400862381849,49.92605653168509,49.06032813709682,48.95211416050561,45.52445214059985,45.250718867878874,45.12889288085616,42.296818744987796,39.714701254546355,40.94670935947166,39.37223371680589,36.19800868909498,37.07085552761701,40.65622238512802,38.16073951092919,34.862589252310784,39.38188865426722,42.265005273089095,43.979035964395244,46.16697939562116,45.93295834837134,50.3543945689551,49.694635140138985,46.24631565649523,50.02604173424852,52.61681931906436,50.42751537671273,50.265794306443695,55.81083238285392,55.88103094240732,51.91567825231933,54.24120232566973,59.00197478896382,56.71830701773168,55.13086015639243,51.04620447180815,55.98922680425828,53.4533614189055,50.90864752105462,46.95799413235719,44.75796187923479,40.180736669335275,43.01754926314002,44.87435377500896,48.72096515188315,48.38145116334283,47.27911795591197,42.82992325322092,43.82735620067163,39.59631425146016,37.27785042908144,36.30664501567561,35.78120483963194,31.87844471269449,32.80306741126596,33.15626492633503,29.69956537802394,27.899220947301863,29.737922733559675,30.263038103159868,28.09843226874358,28.419383006652744,29.57378170042415,28.72121231781051],[30.69469457302109,32.10256137411744,34.24355132403975,32.61122715858231,34.95862980839587,28.519330780661967,28.094646255381328,26.58274804444664,22.730795328614246,24.365026287458456,21.830157190087043,21.577385562275914,26.499945922218217,24.6643892040449,24.848459641285377,27.54903839718984,30.3189228979149,32.681253110333735,36.44470126246052,39.049441263699556,42.2971363234828,46.37408042132289,47.302218614452144,48.795152473732635,46.3224578858132,42.24344156553492,41.06168461050156,36.953877174971154,34.729805988151085,32.62459001665002,30.231068587132956,30.685382122140403,30.194210224892004,34.03628655230306,35.223002348270086,36.05351295437896,36.55380474633385,40.17837203606492,42.305577758082656,48.166513596959334,47.824074325718136,44.80062249610121,48.62056221609718,50.53031780945156,52.96181096810219,53.25920267548848,57.073430858082304,55.42972173322789,52.23649142895842,56.59497879686179,57.211160448303346,57.8499841058813,57.13789601020005,52.38034615501383,53.72977856585351,57.16847567367588,53.875777676640475,50.59980420263308,54.835008028607675,56.54605885479731,51.30595167643126,49.397313555782716,45.69825035155484,48.00474815854,48.1430159988898,44.46291392824382,40.543082668312216,36.656156050747185,34.74655312872218,30.420611817647835,30.770138470448376,30.906486194180424,31.198893416443617,36.030371109651455,34.527965146462314,39.01359830540449,40.80221581357954,41.23115011527277,42.741327843240164,46.000077019235604,44.99698875443059,47.41580872204136,44.798514965504445,48.09559062796751,46.75120009248171,42.85768236269841,43.18263467198849,41.00477165962195,40.010906893065126,38.76859428006283,35.948627405577255,35.85952062928337,31.932909683188836,29.37874732247916,26.73241801007391,23.73693961386429,22.021242708882642,25.066688216750826,24.321259850422514,24.462403546149222,29.610522442855,31.637401035150454,35.12276013324907,36.39726283821646,42.19735087678248,39.936336581494075,43.347604362632275,45.11660713788425,42.161924828367475,39.49556251216779,36.12733417739061,35.670487901185844,31.294433053170433,33.54329029413376,30.74458772179409,33.35719252216359,33.99823735822636,36.9099468613823,37.05473566700458,33.049826269007426,31.582861716240792,29.39647989713125,31.926022086748752,31.00198964591983,29.53250302220879,34.424598030032186,33.76595260081764,37.211066436272986,40.08966833838504,42.723362424923565,45.653567531331454,48.809406451979484,49.836807965744036,47.69669540605653,46.295733017141735,42.09014678528264,43.545331204493465,41.117334014806424,39.60556863331861,40.024773980519925,41.98147894623994,44.956343655218674,41.62387134997375,39.99040900425534,41.44041018989003,37.45523535653514,36.25278410374311,33.518147844156736,33.61006938076937,29.590048991968807,30.537623506228393,25.764630142657126,27.721762947864374,22.93048865482703,22.443625756069217,26.346032157463632,27.06178644738904,30.78089128241071,31.44255032935854,35.618909635847515,38.448909884594265,38.698169825192835,41.149186316945034,43.876968394212135,47.311872223926606,47.51702820070249,50.297798448419,53.16407121187691,51.47806916884694,47.68636700650386,47.06481604044376,43.873096171558906,44.84719487719386,43.98167012694101,42.34415301136353,41.14849498996314,37.46299978294282,41.49357734996227,43.966417968202464,45.4613958967319,47.22240775548762,43.87935852136849,49.662024999265725,52.97133333344122,50.76652801695964,51.869512839162425,49.50132402298892,55.048154988789676,52.89007237103601,56.84636550140247,58.51488435115353,54.76859704960118,55.476272846153655,53.701754902368364,54.09036693713263,55.05011334161736,50.829970563161964,51.31639198326625,49.306897759506,45.88014918384301,48.10013695728908,44.311143525895694,41.98119152051186,44.92711843649979,45.14245382440229,40.370815935787476,41.40710029094556,43.93687154679979,41.700262959436486,37.91223577635105,40.42901524578256,41.22627806231513,36.63931006590749,36.74637203545989,40.92336265927973,42.706834414071,44.8964995647025,49.27113191500914,48.16437490465157,49.32737762266564,54.265938357266364,56.25104391466298,58.62778466274051,56.9987454650758,56.54848751066528,57.70727561827006,54.582455768796606,59.56558710395522,59.92637186706944,54.805345173054185,56.90903788129251,61.44641339367587,58.54443170432694,56.205776888705984,59.619827768897494,61.057117409693866,57.0937398210747,55.58006805955142,51.95738352805031,51.17793894104839,53.35123644716343,51.12586270897873,50.584193760908065,50.91163423919913,47.36096340973409,46.64205424571918,46.937532862213345,44.39637380689694,41.34509062038634,42.42188146941227,41.33537637643701,38.15590765532477,38.517544520065336,42.455739941817995,40.240278909892595,36.574893747537615,40.87109225878447,44.04887431352822,45.4569487322301,47.84961158590382,47.4895553302548,51.947011293038166,51.13486317834493,47.26582735186525,51.12679877653443,53.62350825456887,51.204120279466494,50.81207048144633,56.53776028219892,56.38324801836869,52.077668024855214,54.404840302145374,59.25186067053603,56.663194334709225,54.84492574073401,50.66736229767251,55.46401817168063,52.752605377190605,50.516680721372495,46.29815565377338,44.47491899292696,39.759693211026544,42.0865799649052,44.05288275613359,47.867109949763005,47.66094691888113,47.03189642363504,42.43651696132582,43.732291780436114,39.20725424834078,37.25932316051086,36.94351301055222,36.852581723770605,32.95970791889434,33.16868799328788,33.817574177287796,30.841653888919456,28.2901188426605,29.796894170471102,30.998137585562056,29.201736431028472,29.8684965963614,31.13093221047625,30.400829951785493],[35.77981493567616,37.4998997586403,40.00898386209209,38.37885574173124,41.05926248901929,34.65577817823348,34.36687824826358,32.93500452073809,29.06360335686576,30.544335000446175,27.909417059484497,27.71196783877715,32.54700999781043,30.508181455800354,30.407304108631774,33.1940198686713,36.001043728393974,37.98563301245449,41.475662522347626,44.24855419756433,47.2270042351859,51.33302433165486,52.10132686449457,53.73864595431252,51.517364376121485,47.41844665124525,46.54924879891769,42.55927810330786,40.32143285918035,38.34555171122804,35.33273563237846,36.17746627089669,35.229405285291264,38.759135425733476,40.38752293173562,41.333203872388715,42.16193574430689,45.7627858814242,48.03278496170061,53.903702969876726,53.49617810313747,50.17005462694383,53.92227795346903,55.922585776250756,58.20614764239322,58.61756051593731,62.40819106310071,60.84250564859413,57.84947041667865,62.323791470157786,62.825606426595165,63.5732286992674,62.71037752068814,58.01857677248817,59.181308256985176,62.47251613178871,59.15316218112148,55.77307005876806,59.84583201840161,61.538934245617455,56.1897441980635,53.9612320036028,50.175957092488694,52.247656929919415,52.736700105598196,49.28783391778162,45.1298348567283,41.42049229704403,39.36886704409199,35.10935012545241,35.30596665518065,34.86466390666378,35.30393736173205,40.096446436972634,38.917987832828146,42.95987218069299,45.3093942845411,45.52894327023061,47.446947262689136,50.9218538941142,50.23558823187436,52.92476605025563,50.458302093849596,53.93010554876571,52.64360738465509,48.61276755765015,48.64006340855534,46.37893427938086,45.107281484385034,43.470196500237336,40.533766365434744,39.84846870894428,36.12451997558334,33.83670851944564,31.72226609111552,28.401519496804656,27.247340773494876,30.413755610186797,30.054560499733064,30.13442846504089,35.2940894521211,37.57107060685745,41.02578978801988,42.5279608501036,48.37031913630132,46.23350443902568,49.61814407249553,51.441576013306545,48.477659848546566,45.801891066186315,42.46165827924874,42.021327433487876,37.63271024926816,39.7876892932771,36.82711355177621,39.296590270987174,39.7375303007389,42.49888066003457,42.22623826470447,38.391369421547594,36.93691251279328,35.01663507392865,37.58883424499595,36.92220036312407,35.64548122506824,40.60507555096958,40.050988658340415,43.52897725889303,46.42727632367822,49.076734858346114,51.98607322441865,55.156635705097344,56.18135800651356,54.03070737746732,52.61739561613001,48.38768819179872,49.78515502540416,47.27698211715538,45.61577678336091,46.03370233580798,47.69040945187193,50.59261152870338,47.25588127480795,45.82778417984325,47.277983872964754,43.327489605247195,42.24357287170672,39.63114828978088,39.85844476139283,35.898762770868984,36.859175283266886,32.050920796737124,33.77696202544303,28.811005903189994,28.358039162085174,32.327508364543895,33.18202367053014,36.965404725153824,37.54144586781161,41.874572742546476,44.67858773307815,44.72928882106065,47.196796542888706,49.88225300958477,53.42177236168352,53.56938960458289,56.477333168678015,59.27490889473397,57.64374948570128,53.80586309839855,53.279261210123806,50.05588244063409,51.05642030812976,50.16836194056418,48.45213289146615,47.241165351082586,43.43680289450258,47.35326283068885,49.91800561070247,51.504934329689355,53.36406438617128,50.13796081506207,55.92748182681354,59.23240262713186,57.00663882717563,57.948198228419756,55.44798264507692,60.97109993329046,58.85156799466654,62.875169983294214,64.63974399908075,60.94235960514085,61.73396891408227,60.00074165564465,60.42178992338252,61.382640631494134,57.13857661310626,57.614570268649956,55.53122158882104,52.1345831473221,54.22985882543944,50.427259692223714,48.15918988499307,50.96949626001295,51.0724429866465,46.316036582307106,47.296549349236344,49.69147559926034,47.34662398058114,43.57216928568305,45.93209964589518,46.54686313656058,41.96909742606422,42.01895172877853,45.97319501852605,47.9637103147335,49.94589322585996,54.572003244500635,53.63811772560064,54.64671003953041,59.67919416521927,61.39446103592327,64.01358998175397,62.4796080289776,62.22742178929555,63.463902063520074,60.47560727149831,65.50073593611897,65.79458761214524,60.792233933503915,62.984567379620366,67.5019678255174,64.58489033617047,62.34636418807545,65.81987118196744,67.16645258935871,63.165185700899954,61.817227584147666,58.11554371432105,57.42679308112622,59.53538531406849,57.17830165942898,56.61184961063695,56.73297385619618,53.30100025090078,52.69019104594456,52.72149327977816,50.12862743655987,47.28633631175838,48.25803519044564,46.912391959704806,43.715052494932266,44.156258312213005,47.86977011059422,45.42982349513246,41.78502575746326,46.08590625358772,49.133552331968396,50.760309572787655,53.273132846436894,53.16139055423605,57.58978823205049,56.59160233219292,52.924022762673474,56.9327166186588,59.28673049525055,56.82662954472376,56.6779780818153,62.35549692308557,62.018006438588216,57.80557777449418,60.31859849248732,65.03907294815833,62.301217929250264,60.60231505220901,56.34931858758373,60.98875285320472,58.109122249069095,55.75426885970986,51.674966450010494,50.04904154419612,45.34368795711939,47.54356662850269,49.70700528505936,53.533751044077164,53.527658754492585,52.98508771183405,48.52358438376471,49.9490050483659,45.452027832057006,43.390194391365796,43.1352721364303,42.88819291339005,39.086425689006425,39.35285050120963,39.74152698918438,36.70549297680101,34.440228092603974,35.66671395022483,36.591885178624054,34.50082775390747,35.03021702081293,36.289629483995775,35.46506074654551],[32.117742225278576,34.06776301131565,37.048016180284,35.324914246929964,38.65105609379062,32.41682919183654,32.64399906362235,31.809478694346616,27.948009535439347,29.78339913705849,27.690923066574964,27.981182229166745,32.61664038509117,30.284757194565213,31.111158944665334,34.005279856608375,36.27945550359442,38.7370231076686,42.07949864748476,45.066303485357835,48.14380787824556,52.39677194228009,52.9968644117802,54.32673929320258,51.9649135820592,47.7444556406828,46.79335225741897,42.67317459930035,40.875426544065995,39.096847884611655,36.84222475554734,37.56956906607125,37.26734394003741,41.02601467051628,42.13535691185196,42.68389341538892,43.282088019122185,46.522867916177134,48.465375436021574,54.48341461482255,53.76059897271161,50.857085476645864,54.839823881775395,56.48994869382407,58.667218095533784,58.713706320068965,62.58923898691113,61.3010339640208,57.9677063667905,62.37207840328674,63.315823631513055,64.07771641545285,63.55448155945372,58.698133127362006,60.38774887247278,63.694288940025444,60.21418401456003,57.186900714488885,61.48735294170358,62.916651750352614,57.6333469258286,55.83332212905881,52.21829652849792,54.18075079376698,54.2877383853626,50.775804588073086,46.482296664890534,42.79234010427859,40.36030393512308,36.20349920160589,36.08915280224179,35.90661950459249,36.83274076611674,41.676640651756436,40.730633141395536,45.31256519362843,47.29733210455796,47.95519848524732,49.523651118757805,52.74929295146971,51.8680657053477,54.12806826678714,51.610773969236085,54.71558998863043,53.15191517439947,49.421930114972646,49.75234336357926,47.86441169265028,46.66411358603769,45.681668782529016,42.64972157228884,42.424859276852864,38.57132140572084,36.23951553773778,33.52343457017266,30.50961711074899,28.626536834956188,32.079150495163255,31.24804859717363,31.40679895208395,36.5837629634799,38.29777773485934,41.88141641296719,42.767093599336334,48.47568245925043,45.8024664395969,49.10867897910509,50.51807940842593,47.204014226573356,44.91244605746542,41.19874837695103,41.08183323769549,36.5805699009862,38.73767769393247,36.11729823740991,38.36613645287563,39.28635228492861,41.753415944383434,42.111954232949856,38.50205803542043,36.60566457839049,34.444414731761654,36.38988205464982,35.579085126196205,34.11579852438582,39.04890479267365,38.309789415380735,42.06868487858982,44.97693074439583,48.09325751232177,50.47849027354287,53.90196668524817,55.02611928666981,53.30232372830532,51.49193422163726,47.20495233534446,47.999585485806996,45.68782864696853,44.00678272142081,44.87595140998117,46.46573318479843,49.773859296133296,46.78070082253252,45.23653415457643,47.05537456793134,43.33868273094818,41.88161743569645,39.416105121607345,39.505633564045596,35.37734029825535,36.32332539488014,31.681211136435433,33.7893906443317,28.778827661762215,28.954787906582585,32.93117879958064,33.57572715410299,37.09577918128032,37.910055196146196,41.714202079619064,44.27655287924897,44.82406115725104,46.72457719727904,49.82385220387948,52.87686950383049,52.55031606069722,55.399202609575696,57.946343301622186,56.047326455603596,52.248981550290445,51.9118457117291,48.92178903594991,50.419294313833525,49.89764584883521,48.56429165192227,47.574014079811036,44.025642191805005,48.258622109236036,50.514654860506695,51.95905137227724,53.360084449103056,49.874142810121874,55.57747365773723,58.81174841714528,56.49830603436665,57.84931158896772,55.4879796005442,60.98791820154395,58.39171044043913,62.42279053881297,63.96326329874169,60.29546626048354,60.742089652322534,58.82971276453704,59.16698302849068,59.89161773812125,55.438652388709,55.89267285070059,53.50816485227847,50.393975222961146,52.28424783257192,48.70734372412794,46.28720297339565,48.647551174365525,48.85825014953595,44.08841745122819,44.564920275677295,46.960095306913445,44.91061112315491,40.76252257772873,42.82398207770031,43.490958013958185,38.998823033524886,38.63585387632141,42.41842610816895,44.459896451067934,46.572913934655425,51.06962416747446,50.48501504944477,51.553811265346255,56.743011110535846,58.36465771108391,61.21733877230736,60.066815411887774,59.983898955984614,61.523619814870266,58.757380289519254,63.788783943099816,63.71144562662757,58.69423234444248,61.21312717023285,65.50747890715554,62.34200035919721,60.30732594165348,63.93209028288599,64.85511680006115,60.71812204675656,59.799715501599806,55.95729371839748,55.85452924397191,57.983075685143525,55.54545052557819,55.3830849460654,55.588717542491985,52.396465516402984,51.35383670704546,51.24689276261736,49.04325633137308,46.03903400429281,46.513455342910774,45.29516491446077,42.10664414491345,42.086587257226384,45.79693581068227,43.42248317891976,39.47565954870298,43.50807626919301,46.664228623617724,48.211087542194704,51.03263831316487,51.147494189745274,55.52658217689041,54.12956926147319,50.39943787328828,54.664426160413655,56.70510389321544,54.04411886046789,54.0993428642225,59.77592426818641,59.04478813237116,54.809324175322764,57.59179485031626,62.12669277108698,59.069861932779645,57.46772763600562,53.10914373516185,57.492105214992854,54.40363387414824,52.022456745269416,48.03832923388139,46.74685674304106,42.05744454521526,43.987158924187554,46.39718617657259,50.20995733633397,50.52702735047062,50.22360010471566,46.039371826559716,47.88430421103376,43.463132067666756,41.17212944316738,41.50455647467493,41.22409566120773,37.81982349667617,37.54628353319244,37.53478835828825,34.85358990908864,32.66788202549823,33.08485667115575,34.00530918017275,31.93063660084124,32.58186647328957,33.90263352444167,33.22097628469712],[35.89165417716996,37.71193693640825,40.659512911755506,38.44737467810806,41.77779633506234,35.75236424461481,35.687196994531256,35.0438186279584,30.861374491933255,32.11278412506234,29.841515611502683,30.4959133844588,34.76512902105768,31.99270082031566,32.602359456196226,35.69000437676668,37.792737253731325,39.82618989492187,42.742025100512194,46.00418598343813,48.74665823835281,53.08026423974751,53.41186736092847,54.82247027161427,52.7541309115479,48.491033684867105,47.95375966033936,43.996915865085974,42.3211619305237,40.890975466574545,38.047335351163454,39.444009781711145,38.93864309779384,42.3193372282881,43.67454329403181,44.05420872595531,45.138897107528905,48.04548565404373,50.083400785017176,56.19747172868472,55.20469942908629,51.97365296216783,55.94783467178788,57.5833382603975,59.506562447522114,59.62675436703222,63.478164260106006,62.380851262739135,59.266751523479954,63.838161161736934,64.73512551115918,65.71519670731804,65.0968559736535,60.265612820318346,61.96716163132671,64.9841013990789,61.352283370911756,58.39276539454802,62.587654811558764,63.790618852331306,58.393820558261595,56.422218940007916,52.82342524937,54.391707232624164,54.72074214010205,51.49656708519817,46.84211590664125,43.40359347360915,40.66449139797724,36.65153400150304,36.27878671115231,35.5858203429463,36.80246541250004,41.579740336050385,41.12190211586252,45.4866661864103,47.921047928657565,48.65776524251432,50.52498774471312,53.87445023594978,53.427007366870995,55.836771900993575,53.69466990079354,56.8817162498039,55.19506569677549,51.350945046160724,51.26423518042416,49.56847454326446,47.86690529201458,46.84071483677617,43.51651948549432,42.860473479943764,39.19551841823552,37.24178964354816,34.80150287410671,31.573669340085996,29.98211893639858,33.955096279114684,33.580010852371984,34.29384011644245,39.08472500069247,41.35778703604423,44.55031753002586,45.853120184526006,51.49621693810227,48.95911481452265,52.480723478655044,53.878329846494424,50.66019820676313,48.3658733689542,44.5738439628845,44.063537178704415,39.46143230506679,41.227102086899365,38.19835481226661,40.180068619395264,40.75588719377676,42.99088729585668,42.82338313926114,39.47659909859577,37.566153021638925,35.7755646398532,37.83084961802441,37.45885362598267,36.44918544602749,41.51844085070518,41.3758055122415,44.99631841165209,48.10177503013174,51.169416367546596,53.590001837271394,57.12119017788306,57.96624047711032,56.2877738224819,54.258675764977056,49.872210461281604,50.73563592142816,48.06439958409272,46.06406601774163,46.80682286203064,47.899633322135536,51.037580749303075,48.049300541676004,46.82673968721678,48.6756243518099,45.085688268279625,43.7808407996467,41.625291844850125,42.09263514893037,38.15711905875493,39.53518192737108,34.98372480130462,37.369558499204985,32.599184600086986,32.309303622128176,36.10639546533163,36.43967683645675,40.16471006834645,40.51309724707612,44.58068333317957,46.7761529682759,46.950568359688006,48.711794739833714,51.817292654084056,54.98373820234335,54.51399803428721,57.65414151526778,60.068638800519196,58.39225836264357,54.479581752177864,54.32816150700436,51.21329005436634,52.78131292817166,52.310499867515695,50.94921154138922,50.17404731797937,46.40276160172828,50.7678261199145,52.84388368543324,54.52843257882167,55.790307894378586,52.65637104403813,58.33172906703394,61.47682474290368,59.00370564386033,60.01333370021687,57.38380841623027,62.816882646627256,60.19528440725558,64.34999610695773,66.07901401579196,62.541280775381196,63.21917816265143,61.48545079746235,62.02402720194468,62.93453102867581,58.52207698319516,59.22220198152145,56.958807912351844,53.93777324145005,56.06519819130764,52.57372745142343,49.9841727122084,52.3910084471832,52.84113388504803,48.035893816897,48.24767522725632,50.88380441732189,49.08878179878012,44.728034378268134,46.747650912110274,47.61930645097169,43.15669399780704,42.53365428315962,46.37168981187814,48.275894767049195,50.67721340961417,54.85713725643458,54.42491603086599,55.67203531331827,60.88872037473429,62.625887325400655,65.45554688480753,64.38000985757824,64.20983810383225,65.7538309917747,62.89873634921837,67.89067268677695,67.81328703548436,62.65085818798718,65.13744870079249,69.4061831121182,66.1575884711276,64.02748993419463,67.56718021628856,68.46729905044586,64.30544394247826,63.19749147820634,59.55136704943213,59.48101224175248,61.76360095277462,59.521164190820954,59.39284012794108,59.78203636462805,56.45260017039086,55.34532061004332,55.48722515471783,53.29317189076259,50.136921402491325,50.695991743980144,49.66038053263836,46.47659068740181,46.364343353410256,50.2079553032858,47.932134833586346,43.92553888439812,47.899160317756426,51.13648228199543,52.573374111852196,55.41407633360768,55.42343477294471,59.81738024231091,58.43955256685331,54.54238452125187,58.771804594949494,60.825501148114085,58.09782955494891,57.989408386882985,63.73864185037676,62.96265987469028,58.56269452033946,61.27553037241965,65.87679999601781,62.70852735094652,60.957255407629624,56.58790563705263,60.881670214502414,57.72060340799887,55.5559371717208,51.4327874855267,50.346977432778246,45.61883577849718,47.236981663266306,49.65807677227647,53.41217007649975,53.754690400908245,53.711318462170105,49.39949362348744,51.293086758016806,46.70204541359418,44.73760841679268,45.25145665891095,45.21207471991272,41.69861743364899,41.23915728079943,41.50676864241353,38.97890535499177,36.42133773076131,36.89357890133897,38.140565403125606,36.23330907927833,36.99586205948258,38.32598160065602,37.61374925792008],[33.00430966460781,34.98090750622673,38.261652064865736,36.02160202247449,39.822338145710646,33.99142189515112,34.337310235970435,34.137864596387075,30.056041426274238,31.594628824801454,29.775669068063998,30.72762619164532,34.83292308208841,31.933172494374524,33.22903202510476,36.331194282172994,38.049360542478965,40.460783272123365,43.30121573030864,46.66092838059525,49.50437088701881,53.91252965418132,54.154611972904874,55.3190263665535,53.11655165731586,48.793507238445635,48.14666841879841,44.09971818599272,42.74574368446862,41.426612828060286,39.22178616491936,40.43398214388876,40.405148037457096,43.979940014640576,44.9300661808908,45.050172228141896,45.89959186622001,48.57017847722327,50.34636166907755,56.52541483425593,55.33766751206063,52.47630703037125,56.60272093202984,57.97405048060814,59.842611615861074,59.67845483807023,63.58109613212507,62.67179786282121,59.28844786800342,63.76859692695837,64.99960922120518,65.96149671289518,65.60619336053819,60.670103129443326,62.74998460100319,65.80655902606314,62.08883225521377,59.388745686844686,63.74964615014685,64.78602527933785,59.47177563069722,57.84398729916167,54.37973157716992,55.92258200330175,55.938185943655334,52.641130175288616,47.965032859961276,44.5250089675787,41.57418795434686,37.6520700957339,37.09404116522269,36.671808964847045,38.18458575274401,42.97067518273637,42.606964196318984,47.363394337750506,49.45743925927976,50.489663168264194,52.05693321410452,55.19713101577959,54.55231050934783,56.62282442701205,54.406470056820226,57.30368100757706,55.43583188061361,51.84420794497694,52.03024282079991,50.58633952395312,49.011685113143244,48.46058835503908,45.12930561201392,44.865216685957456,41.098916305074184,39.06792388311542,36.19538775847588,33.23743051787468,31.1304264787002,35.179650007715644,34.428720822724316,35.122427486182445,39.92716024034304,41.726915564718134,45.02953566392322,45.839192786872346,51.35575064308593,48.43006989181286,51.85219313513583,52.93489908545954,49.4692658626983,47.47866452163653,43.44686268415631,43.21221358997407,38.58016019397785,40.36218043068193,37.65870684390319,39.478597337665974,40.44808226511576,42.464800171869754,42.83805584589053,39.658055456792866,37.43921518394812,35.444745241340215,36.98486910064584,36.46509736740707,35.28654711747925,40.26703041438143,39.94102295801897,43.74957054342785,46.822363927824014,50.222482774311956,52.22957837823178,55.92247072259452,56.86214896173426,55.50899878236616,53.21320342744745,48.82091312930366,49.21302693104353,46.74165605896148,44.7695591612929,45.86487037640868,46.94774973920768,50.39688503556166,47.688073743632025,46.35033942578618,48.46049462756518,45.0545043510135,43.4658562282426,41.404916968815144,41.728519418437386,37.69169009870525,39.00678226046715,34.622769343294706,37.226744212401414,32.47279327602615,32.65517213582705,36.428365669275834,36.64263080330676,40.12206795789011,40.68473486706854,44.30888844314863,46.345734534750804,46.925141282104256,48.268907858007665,51.66316584323185,54.43646560924935,53.62678992584389,56.67582278651012,58.90141080772332,57.00536306979448,53.153821744634115,53.13142429724809,50.22407755468902,52.150587602158495,51.9504381680249,50.88295006454791,50.25060655920244,46.71297108760992,51.265295639727924,53.12788580712784,54.67389577322765,55.607073021174266,52.261682671614516,57.84639203033608,60.93348359272545,58.422640877818004,59.76978059895612,57.28497497632318,62.68567977209589,59.71863282879441,63.85043517686843,65.38507212468099,61.86874029338033,62.259415093823975,60.379341539607914,60.83247570768922,61.54301056651214,56.98959367241239,57.65023621037578,55.16185991153185,52.36701972498255,54.31085394631229,51.00618357957806,48.3313813259216,50.376257772836006,50.89272316983672,46.11551858259662,45.9524129266391,48.55786065662593,46.9924219777875,42.392323968346595,44.164990622117344,45.06491711570009,40.70851176200981,39.77688678582326,43.44615531440068,45.3772580770021,47.856206873368656,51.91621968566665,51.751145262259115,53.031283558470435,58.337670124291705,59.99657198208995,62.989745385865,62.20236179219586,62.163068203210536,63.92737454053588,61.257237099176926,66.23348179645288,65.8760929638344,60.73377895565752,63.458316278085626,67.54269690559416,64.12353248985772,62.1640394351601,65.80725131118156,66.38525600473365,62.13881187758032,61.37664963292036,57.628486774346854,58.00008770888705,60.275332319146194,57.9710828794264,58.1435629807642,58.581936088930355,55.45626151203701,54.039777511934304,54.064074131153276,52.171829867356976,48.92681611351114,49.10702834699789,48.16784165984227,45.01790855996836,44.56532839906721,48.37013053284301,46.16169718693312,41.96823341305418,45.70235140947718,48.99449717524383,50.36117187755482,53.41411363064985,53.59638994718193,57.926723044286575,56.255893117164916,52.340532634669636,56.73938768687081,58.544500255226865,55.681557823615364,55.73619561196265,61.45178410606168,60.38110580146834,55.99277571848247,58.90216269007052,63.33657127993106,59.94336793616249,58.28263380799824,53.85395276887921,57.93277665277651,54.626701636783785,52.440550885833545,48.42234992096644,47.59664290860271,42.9187496121726,44.323406234036966,46.92174582160544,50.6454839711325,51.23765348196207,51.36495433800534,47.30432042970682,49.50299051965755,45.016520991457696,42.87470145053727,43.818543410507075,43.741444160661885,40.56400742107498,39.71864357567605,39.66759375879551,37.43157864124303,34.98558111358444,34.83522034493674,36.0498531995445,34.17392884664555,35.02828424452366,36.39754827529627,35.792286171887056],[31.528279764465317,33.79289017244445,37.487128654992084,35.45379792698655,39.74378387514838,34.09773946608901,34.95262060487213,35.075171350050255,31.256911033181506,33.18083990190444,31.774769351785288,32.809963979065294,36.8635087781249,34.01183697713317,35.80793551170676,38.84628242842051,40.330130334492615,43.06167139212922,45.895508459551195,49.26404839097339,52.21135587508568,56.64017879631001,56.85322464125461,57.82709314228548,55.4989511047316,51.16003877424809,50.374848536730404,46.25826083433806,45.12139173470141,43.80751895475108,42.1438075667033,43.07815192570341,43.359418715331906,47.1151863844816,47.7879947819328,47.797985460096875,48.37930943922661,50.96317442826795,52.526801617980425,58.70214398794546,57.43527778589794,54.913856293132866,59.13044933612618,60.31175826897654,62.170891383511254,61.77815916490415,65.70986448584728,64.92013497855973,61.308231997954564,65.67221239479109,67.16123582113013,68.06133243888317,67.91562052469389,62.91679127412501,65.24415723514558,68.3833398028114,64.64833650331607,62.1135434190904,66.58731379367096,67.55808317943502,62.3299654812462,60.947641595709094,57.56847565956249,59.15040587789069,58.94487064366342,55.571280066731354,50.951709255893824,47.49227666969118,44.46086161364591,40.60575014314348,39.960299648107856,39.7577811383358,41.42298288185665,46.195283189252834,45.83217277336651,50.81589928418066,52.64818213895903,53.82059167715954,55.16417123784474,58.150243767560895,57.29052278673707,59.1081964311234,56.74961869357984,59.423044163128246,57.47345253594359,54.102006557511096,54.568911364233394,53.23973699668708,51.86654456578894,51.591516183820545,48.332679773809694,48.34820123081116,44.51190100808507,42.374167887447115,39.24094445479752,36.4861179699172,34.066610489985045,37.98707956343259,36.89860390255614,37.35588284682248,42.286644516526366,43.572037047642695,47.07984319287081,47.39852018250702,52.81819807308384,49.56935300570988,52.799105584423934,53.62501976934534,49.9233308299745,48.207796582133014,44.037908381721394,44.19760749375453,39.61830983822097,41.51817119681084,39.21726494572423,40.94405981747219,42.29232892151221,44.15121999831456,45.02713897336589,41.96450209954279,39.53276161272949,37.34407350690875,38.419157655815944,37.695447884481084,36.27623638637721,41.08608929943991,40.40589375043465,44.40311279836556,47.3523057265945,51.04142273436467,52.65463189007919,56.43309282836414,57.5561729228056,56.47291502162616,54.03590463148474,49.6963200979351,49.628627979804534,47.46400862432101,45.607230480967075,47.043155638044496,48.198713359459,51.9256461362016,49.46835520826694,47.99041392771237,50.29172878391718,47.022842050082374,45.19393936474751,43.14672366585295,43.24954223743545,39.109681508319134,40.20013020864975,35.95029494121011,38.53514830760584,33.7065468425708,34.43527568034244,38.24105523468468,38.51375930118998,41.715197261901366,42.59365696702806,45.78361023570121,47.8065430946048,48.794099375418895,49.84175633012034,53.44182227000722,55.860144719083245,54.79776184998815,57.68350516329615,59.75838908297127,57.613514818077206,53.86797350728748,53.91987204394188,51.24875775151954,53.452550124802656,53.45663842668553,52.6259308015776,52.03040625917786,48.74600253914959,53.349710803531046,55.123235515343026,56.489019801934106,57.225081144734055,53.62233415423011,59.11785408575133,62.17450237920434,59.693150162562084,61.398355496392696,59.10198382417359,64.47121339842552,61.2426214677849,65.31343739187119,66.63506396493979,63.11994757985459,63.20007491727786,61.147025843788334,61.45811555610787,61.9170181441345,57.236429351832285,57.76040369490579,55.01010711875574,52.411475745085454,54.043406185963974,50.891938773964704,48.24485930110401,49.87992144058637,50.32173912524339,45.626506666453636,45.20232784231937,47.61351659477144,46.1389187115217,41.446283454836376,42.92541862275156,43.695301708952755,39.479505620494955,38.344946520947445,41.69750565119569,43.77040972756706,46.108862687722265,50.24091305497606,50.34153714372391,51.517503384106746,56.90278873851612,58.328438112610954,61.565260795822454,61.06462923657667,61.25402439953109,63.243522591148334,60.83855579527242,65.80864499792926,65.16910038264457,60.16603553272328,63.14097471622294,67.04084141616332,63.504061383116934,61.78294252102425,65.56008853106881,65.81329653507923,61.503179491982976,61.194841879970866,57.26882043904807,58.059802724673816,60.23737625945462,57.76871969352267,58.19227552237224,58.53492646458155,55.69913307580293,54.072477666085796,53.80728497877169,52.17926383798253,49.00027357951104,48.770205764265235,47.76870334830459,44.66748562658121,43.96876476845451,47.5764118090377,45.33367889622336,41.036431325268566,44.52890718475241,47.76682715296219,49.17739011969677,52.44654910576662,52.91764886858234,57.1482250670803,55.13624504672325,51.365199312663925,55.96283655639415,57.46732496962572,54.50316637044148,54.86350393684474,60.47095422022295,59.075885324238605,54.821917019153,57.99590222358203,62.17714891854477,58.5726828479995,57.11078052873715,52.63064519209149,56.45078986400663,52.99042218089596,50.66816991703928,46.8931222858452,46.3191364154694,41.75577491619035,43.01725228139932,45.828929461535886,49.518704924925274,50.406532361594024,50.62175031722144,46.92376490997007,49.40857577712426,45.12824828070158,42.68107312569242,43.949796419639775,43.6955261280995,40.91500595431934,39.83126196505488,39.30000213897005,37.27385027373876,35.19715679982951,34.381156463723,35.32404117419338,33.33426124620264,34.173894379157225,35.559627662029534,35.02739959765168],[30.153995620131536,32.15245978376453,35.83074723243407,33.16147994026323,37.65086288795107,32.50352756781983,33.3037458259776,34.0323943489127,30.042577290015476,31.59276755161369,30.51907832310035,32.18828796153112,35.60392096191073,32.30983788609992,34.61080522371744,37.753597464576146,38.64196464322348,41.39489448737354,43.79219826041931,47.408051816831694,50.18921427732528,54.70432097613484,54.637063363366224,55.394447578533246,53.14863524291725,48.76981028310398,48.178317908314135,44.152365286480645,43.46847869018992,42.59470142807055,41.2015771906894,42.48135365835535,43.168861067008336,46.77597359765125,47.13715730323453,46.68569275049318,47.41139730408127,49.398186184149395,50.74030777570316,57.00353253806118,55.31799474284169,52.954133912884366,57.28609686900868,58.16341458582607,59.7675768529257,59.14940817121307,63.082208444429355,62.619820098755596,58.93476988216541,63.30354646383593,65.08209806626782,66.13882893511942,66.19218847544822,61.138973502459294,63.88118462792693,66.79665043753589,62.87024883194878,60.70557677980253,65.25510457441824,65.8486160695389,60.67219406522029,59.58242043227801,56.41264152652673,57.67378892756424,57.24799307017823,54.02622927727883,49.18976138215379,45.948962192058275,42.527379583325796,38.94387535628401,37.94450813963587,37.75389998639784,39.87840184599306,44.529254324231864,44.592791228477495,49.83777485312194,51.536237657125504,53.13055340578783,54.30982386412704,57.10468657211561,56.38482913109881,57.91427911290773,55.84762277185954,58.242827163259186,55.99136285739526,52.824639796011525,53.22331414103112,52.377869991759134,50.73753845667761,51.02236048372792,47.55859889175197,47.7546777300707,43.985573908728256,42.08214467519721,38.685100773455886,36.1592827085605,33.40787573151063,37.77913322827046,36.70087442826386,37.75218242245418,42.16126767058703,43.50676518375963,46.63013844856837,46.86951297085561,52.0095979424058,48.55729417851349,51.926932143321096,52.43244108937788,48.674948737806844,47.24378782935712,42.811067255520484,42.74055730802665,38.09705488520452,39.57075190848067,37.2323543253177,38.54200484987829,39.95756390321755,41.402437375548814,42.41441287536524,39.75467730320781,37.053073051014266,34.983967322151045,35.63620032179508,35.149752805406436,34.019789976062555,38.79182665839957,38.606056490783835,42.537226562648314,45.646637183387654,49.521936657961554,50.81169384730167,54.81652033804384,55.68401409474875,54.949362653125434,52.05528393574726,47.65105185772666,47.27606546371624,44.93190499129933,42.829426731794285,44.43142391226673,45.16363289034881,48.99080511710312,46.82116669518301,45.50302480165575,48.048227919293595,45.11287670383282,43.15928792229884,41.51985142207879,41.84809715978274,37.88408330130917,39.38703305153,35.50321452715343,38.65314309964231,34.30318845701945,34.88731405942441,38.34991126428359,38.1005524331407,41.213277036806716,41.78421960531428,44.739005508816064,46.183923861651394,47.20430794202532,47.6970113933987,51.543304504199526,53.66001496255215,52.17694542795779,55.22000859391212,57.00259746108311,54.905126995841194,51.131840435097345,51.46004382646502,48.87019050166585,51.43838526168035,51.75049884831011,51.19859259102514,50.986091164628014,47.76441518593335,52.67276523031346,53.9919780518665,55.44348208230404,55.67655302513945,52.2665244125115,57.59217197558521,60.473720349030486,57.81016008327386,59.494785556216335,57.11626507329623,62.353641582316,58.79271495124668,62.92411995932531,64.22758797840973,60.874995153047585,60.92383254645067,58.941258253515365,59.39248991965354,59.897349625411586,55.189877396870905,55.97808537987203,53.248440965371515,50.95564804279758,52.78478665467422,49.926323888406216,46.98817181087629,48.44308915285315,49.30415232093217,44.618205163960354,43.58316799444297,46.341864039656954,45.45731394810673,40.32783025698543,41.63824199003777,42.81269623197197,38.74653910093069,37.063034484778015,40.486590637461724,42.24605244025629,45.1573651226317,48.59005268939698,48.979513899493995,50.5104156583913,55.91091870764775,57.609945293943575,60.759371002887335,60.50645753423153,60.55485854711439,62.65756075917625,60.214278199342644,65.06895419867661,64.25673874505793,59.039837790948226,62.09291520467504,65.80786528475528,62.059675167397856,60.304995774703684,64.00165258921082,64.02565305299225,59.66271627994986,59.303557895757024,55.603800886529555,56.73902986478938,59.1203800904485,56.93549678995133,57.654309498736744,58.37956547284291,55.49309359475147,53.48852441548543,53.592913180192475,52.26111076414823,48.734769967219776,48.36386576456208,47.83283332096915,44.80559135107018,43.67777107041127,47.529846159590775,45.62541662399353,41.13444809852787,44.33139542931711,47.77729225774294,48.83838367340731,52.194785099765866,52.50526833943884,56.69595503063304,54.61511899086454,50.50882363685166,55.072267592079506,56.482588560076465,53.36986535963956,53.49263890184282,59.167851030658156,57.613373994110454,53.114837492261856,56.22350812614085,60.422700491707516,56.613373012491685,54.960130124528646,50.482482442899396,54.11467656883931,50.56661992003234,48.592481064886,44.6345702354977,44.40869389559598,39.854671758411556,40.60861175352113,43.444498337429025,47.01456082308698,48.01097348942443,48.63956262785182,44.93777723932446,47.64837772917285,43.27548991690716,41.16617966993221,42.983443440707,43.08412761404962,40.444304313758245,38.78185984008087,38.47479237153894,36.95403731930698,34.39241443645184,33.2578671790326,34.741682063539905,33.20669061876817,34.34108516014431,35.7525402108494,35.32965022400232],[27.28551944391117,29.511750519741213,33.586384885536624,31.130656767494308,36.13310640214548,31.377671719856625,32.76551029490271,33.929527720413006,30.355581696499826,32.313674144894,31.804717284022537,33.56110737370986,36.79215508705602,33.64725212014529,36.53950173364552,39.529528160880474,40.097453888735856,43.241562912757374,45.641303975427284,49.18210807265898,52.10147683509898,56.58451277976597,56.519096367749015,57.01404421654111,54.59174502345316,50.250294427649976,49.439214468411805,45.36692459631425,44.96489840479448,44.10548671989659,43.46959912300412,44.36216530871324,45.47717872934559,49.27877987967939,49.24035980795289,48.63603993633939,48.99174023579022,50.832478913808416,51.87469105920006,58.06475013938423,56.30198498190673,54.431014010365075,58.83943511191806,59.46385402584626,61.07326280239479,60.16635566310758,64.10577830817337,63.77048559081135,59.804132204941446,63.96931408433259,66.07031189481366,67.0283564191266,67.36193730730042,62.26081426076912,65.31847751810993,68.330877957042,64.41688634954178,62.48876539978785,67.16579783024952,67.67821239477723,62.66643757110489,61.93353534784944,58.9054518988919,60.25140664217956,59.50385806058664,56.176113813462976,51.50716976032474,48.24995767949207,44.816704390247274,41.355258984150794,40.30675118738428,40.4874074664055,42.70437062797949,47.28385435182412,47.27574252789948,52.796288167786166,54.07332638690618,55.85108594698422,56.68864374570931,59.237574688444,58.22406664983647,59.388042746823444,57.16314102013864,59.22976146546182,56.87981499212108,54.03913004793863,54.81143376497256,54.13901335536266,52.79058137128516,53.46784720685254,50.14331126631871,50.7567127916031,46.91998973106753,44.883033230178555,41.16373225021242,38.963135454183394,35.83697066381276,39.97234785072966,38.48757798638634,39.31160706421605,43.72736035123702,44.435354319465645,47.7124969172131,47.340064098691094,52.26704933355552,48.43836392949107,51.55807824441846,51.713721309289575,47.7144410881863,46.66262146844189,42.095018548070435,42.47301075977483,37.97411902304551,39.542386979612274,37.767737814339384,38.94151578712164,40.83387881593062,42.08170127250952,43.77582041887603,41.26912325455125,38.36119610343679,36.052438022770374,36.09558113925014,35.324570603551855,33.90127989662634,38.34564918861919,37.748929654792505,41.837780291818774,44.763379937860364,48.95367278303005,49.728579936834464,53.814159588104054,54.87173872519772,54.49626022357179,51.430480187623175,47.14020876117043,46.19558196622434,44.26172244924722,42.348399531808234,44.35724758096764,45.21898541183269,49.35619930936367,47.52684313487897,46.01809141663981,48.76616940781736,46.04182012044569,43.8039076428722,42.20918844292917,42.2596464781601,38.25485404566281,39.49989942923817,35.90719887514958,39.06811643794512,34.82931808365763,35.98281296296231,39.35327851414305,39.10223055539194,41.81202428380815,42.725074039797356,45.07611402358437,46.440483800622566,47.96997089584858,48.07129501116502,52.134655886077326,53.77010238880325,51.991213217615226,54.78540146901446,56.37158918355899,53.9789784401339,50.37808960375499,50.789119874152604,48.527225851206175,51.41651624348649,51.99092895160375,51.757503091470575,51.61965669990481,48.761006471937456,53.705233750563615,54.86042535570836,56.07478712588462,56.02453022524604,52.339137001965106,57.48882689464456,60.296615939418054,57.68493196302584,59.80849527043614,57.69964180941044,62.85343258522231,58.98902645996533,63.007232033923366,64.0241265675571,60.694480659853255,60.352875054733246,58.174547608227314,58.45436593891717,58.65823732736959,53.83738318318167,54.48033836544924,51.47481826569094,49.466891677063145,50.95290082778272,48.34488821290089,45.42283738825633,46.36996213616455,47.2128985870968,42.67376973112238,41.25300447273331,43.82503131041629,43.1733716391185,37.91527464303135,38.852964123961335,39.964284768765026,36.14095076808657,34.13468872981747,37.19275023112938,39.013785062840256,41.877505461441366,45.20891679812405,45.92394203080054,47.40864925043731,52.853532673183885,54.37198139813986,57.72382784900513,57.82289555786356,58.07452322663048,60.42537771291096,58.27278334880067,63.065694085178166,61.922564454767894,56.84722476087882,60.167975949150744,63.62881763233031,59.73956719363157,58.25330972297716,62.064971182387765,61.70085852041173,57.28801891340436,57.433577735864084,53.58640175052515,55.23336755435167,57.51583974802473,55.214774858004816,56.26341636618126,56.96083798286429,54.406603296435435,52.10775894402046,51.974844218077145,51.015873330601366,47.51911922099019,46.66888213663525,46.193813847943225,43.27872549985799,41.78867969595332,45.445817129233674,43.6269314042878,39.035739986398156,41.847990936545884,45.25842121311357,46.255028257740975,49.82570244794996,50.39697328857575,54.43620315296171,51.99958158989981,48.00186690893181,52.73074154258353,53.79342765584185,50.56687957171658,50.970367592256025,56.502192643023214,54.58901735027355,50.221123854018344,53.583239859503536,57.48985444060082,53.452868221601946,51.99733288736925,47.49307137371003,50.80970404703264,47.1118822360664,45.04723283213755,41.34929089473975,41.44215301493665,37.066618996591785,37.589286495082455,40.6356649133376,44.12481265530308,45.451535357991965,46.21349980501482,42.964447315090474,45.998329324857835,41.91397471873312,39.51967271396145,41.7687854774417,41.734466064092466,39.617584757349455,37.60379265258668,36.797803737257695,35.65607238120786,33.467775997282814,31.533233622164925,32.79494374443429,31.307327988891196,32.49306379327619,33.89604737330867,33.600970765651994],[27.131477556328985,28.766828668538757,32.441246632254135,29.101866063615667,33.9442605397856,29.69874618839284,30.66752225178335,32.31408915095916,28.44857876148801,29.721071680206837,29.3908445738253,31.78229338461789,34.269317036851476,30.64671344945851,33.82315942903578,36.91016858583133,36.919267297186614,39.89849262226283,41.79653676706729,45.57576346178602,48.24766110264823,52.78437342787387,52.43547350668971,52.79177159156702,50.52327879315432,46.16749369492703,45.64232451714124,41.733152234390744,41.72891396868089,41.362690493272346,40.769586064377144,42.15829137663578,43.54515934697502,47.05908740402051,46.819241879235086,45.77498499773705,46.41944416272638,47.63665664098793,48.54145333938275,54.797720937420124,52.62931639721131,50.75917342969468,55.22332908859205,55.61342335011466,56.94715766715458,55.91612470786413,59.83846247610628,59.79270408456337,55.875935225807794,60.10650612832283,62.368614932161606,63.527360440730625,63.95808439988832,58.85239925198043,62.208994925953654,64.9263356128467,60.83217004208039,59.224415148095694,63.902596955273886,64.04469719136347,59.066828515739985,58.5327134800282,55.70733856224672,56.68884737723918,55.81077690260374,52.70250846633481,47.8119841242171,44.82524191951143,41.04106911227943,37.888863617727154,36.50684019956598,36.624805474698874,39.23992291384447,43.63741440978792,44.07866923286908,49.72381131603651,50.95875844689704,53.10706920158685,53.864931041839405,56.266083615254914,55.51635798563429,56.494738585668344,54.67606035152551,56.55332193732367,53.93146349763367,51.20903591854953,51.75312762435421,51.54995733358171,49.82352342302063,50.96446819543936,47.420165203643606,48.09849155077602,44.407298682365614,42.69129091591897,38.85971560802311,36.85499579779498,33.56895753345641,38.170219614088545,36.88481657086644,38.4503798054599,42.18644217392698,43.233529177643696,45.948792460177444,45.77488117279439,50.41950449873856,46.58934427430904,49.965288023610285,49.931593327326325,46.048125526493195,45.138788005370415,40.40162159419547,40.26466407449023,35.699981134800574,36.692296366654375,34.65664044490581,35.38773235690207,37.1404855296213,37.98762665913788,39.571824406935946,37.4810307105659,34.3987100681637,32.34512504871331,32.13353507043936,31.76236166735591,30.837856890759078,35.30562084866462,35.52191421668674,39.379025936169,42.55053088534235,46.73853773037301,47.40393180627751,51.67009432036893,52.31719816102488,52.157923865802125,48.68254813355439,44.30482300705812,43.31034984816564,40.976657282340106,38.71148082896534,40.69764732068913,41.0275866532085,45.11089319199402,43.471042376512976,42.22670069238269,45.130550884372646,42.7221804204287,40.49099533046736,39.36310105203635,39.79384414135775,36.08886533336716,37.9160129832938,34.69473535751264,38.43645047841009,34.80786543098367,35.47837788763951,38.416554648016316,37.57175617775758,40.30830787861547,40.69404903520696,43.01292869196529,43.7288909711264,45.04986748324946,44.6957889285109,48.896740483936824,50.396193491180554,48.30072061662284,51.3669710005885,52.71821597264811,50.54371758900615,46.8473413311371,47.524090734847746,45.21249628270101,48.33218590137777,49.12682100360688,49.06552138211011,49.32926692027845,46.41659241216105,51.62615783039196,52.33068842571849,53.73609997582808,53.24939068546738,49.95042116949895,54.943035592507385,57.56647299485653,54.7445273113277,56.623902675130616,54.321140899981856,59.330021570590546,55.27201391687911,59.37517707197721,60.50410458748638,57.35852362862012,57.176237600825154,55.19129810808672,55.71928463049536,56.138460203826796,51.388577186495354,52.42073831234846,49.63206692366127,47.83830948850677,49.755109378603834,47.376231099464704,44.13046225631251,45.16209933232783,46.51893674442429,41.96274613594293,40.05936559817262,43.14873879825786,43.0836814291102,37.46230072659406,38.4268165748298,40.07695068477311,36.35056159775225,33.92184576279518,37.27445771797254,38.6117388174813,42.194863001324826,44.669746660132795,45.490472101643945,47.43452774992229,52.80323326820155,54.79287286467602,57.84252464935271,57.985231572413,57.9150147549585,60.213063109017426,57.839982114257126,62.4926375165566,61.371295610479685,55.98323173432495,59.196047694282086,62.57519814299057,58.55349705890169,56.8636226631386,60.48138132625654,60.09858140284848,55.68416682979996,55.44685310717116,51.9917499876413,53.71836904624975,56.28280640677906,54.4168391844403,55.60518428102985,56.77470243522964,53.983076309606965,51.43318758481928,51.898354309249456,51.07751580050312,47.18714016251107,46.47596423618685,46.55155024379891,43.70375098157334,41.94589823965929,45.97575240532747,44.55224124052902,39.8763897990676,42.53078927390228,46.17200570418627,46.757749368201694,50.234345621393146,50.41861516911549,54.46437907376569,52.2202812722064,47.777508316066566,52.29380958881338,53.47115455782033,50.177796222418024,50.08730506664659,55.74789223664006,53.914346829838316,49.194327017896235,52.26972700058648,56.37275414049657,52.28616024051708,50.469025254209086,46.025480200456805,49.319171431484634,45.66504729812926,44.113765418453276,40.03096940773139,40.320388584266254,35.899674200330196,35.940903305936885,38.828985070344004,42.18933971220555,43.41001712767424,44.572802079777055,41.07023387317489,44.14148377031344,39.831657994799194,38.05398977490797,40.67718391246662,41.155549689696194,38.94541111380371,36.47251885070742,36.25930866366291,35.53776465065971,32.59761271068029,30.792566287085016,32.83693083946764,31.94402432645734,33.43959430569132,34.860122430296926,34.6482959463547],[25.05502153162748,26.96438154995974,31.0626791590778,28.091965885684612,33.436256132819054,29.595974083691033,31.191880197504293,33.15417018105957,29.793934336684305,31.534079405849525,31.680805336922845,33.983935444446594,36.413091341773544,33.07084542637976,36.65393002419264,39.5502544495062,39.384433109924025,42.70319271278436,44.67526395453002,48.30865357843189,51.124041261307475,55.58917787146324,55.29342382192753,55.43403468382003,52.99963604136842,48.71573722854721,47.94745464331585,44.00743715071948,44.18580727832997,43.7458068661163,43.80283211433927,44.75296455359486,46.43680537708887,50.144940065343604,49.60758648066887,48.522798419348064,48.78713193760912,49.977929439076725,50.62707577278223,56.761508063108565,54.60252889498446,53.19695116905616,57.69002478871649,57.88840531064104,59.2641828050263,57.99563119178235,61.89922394382862,61.9243629898692,57.76865289907391,61.77188712588128,64.29583952659172,65.32393620078152,65.99304111683277,60.87291923461453,64.44368075840691,67.28650374069487,63.25491076195463,61.811092846321024,66.5788355316995,66.71271110956818,61.90020932900743,61.64530165733377,58.91971223749372,60.03646234705154,58.90822795177739,55.686557996026906,51.01663002925055,47.98945215159621,44.2984840401037,41.22554951071904,39.88316992727622,40.3248980502584,42.90794769605492,47.2398897522734,47.53018034483186,53.338518594412584,54.22082587101063,56.44112008691262,56.91933437291512,59.122878348489394,58.07318834289121,58.755982160806866,56.7354718415442,58.339558724939955,55.68952814552215,53.26091075746174,54.1752712639835,54.041493887458294,52.649514314197646,54.03272149096925,50.670974625285496,51.67911146105702,47.926025497938724,46.04802263917657,42.007727734342225,40.246411826568675,36.72811016743489,40.98710745062185,39.336044984302525,40.54828734686187,44.385094620204256,44.80509487784593,47.73375015734913,46.97671366047157,51.43716160993315,47.28569932335571,50.36016574525218,50.022190794331024,45.91429790532397,45.357997014354744,40.55933916404389,40.93378982069606,36.573650373315346,37.73265668093784,36.303576484983914,36.96980687868206,39.17064300353978,39.88688726698801,42.10310630659265,40.10444779634055,36.910986631225796,34.62656790983965,33.89111842956506,33.18772674614832,31.916431069370482,35.988253390166314,35.676472458749984,39.675274756242075,42.59971344151372,47.060406797618,47.2320037833501,51.52558418921105,52.41370881819406,52.57155674296255,49.01426358156819,44.794504011318864,43.248960629701614,41.40376554135516,39.40154341250688,41.772488030471706,42.30432293684986,46.65696403957254,45.32606344623519,43.8718873580543,46.91258055059645,44.670208201632114,42.19863405047943,41.045558613290844,41.150774136068804,37.40444702630489,38.87223624579779,35.89898722610354,39.502049292762386,35.91333191055729,37.152992295497555,40.05442022646413,39.32593381478439,41.668227181791096,42.44934472741492,44.20063264367532,44.94144549164641,46.757509826446835,46.11652795055346,50.46317014215481,51.51969160436103,49.20191276164574,51.96393736000126,53.144625213940984,50.65936474030835,47.17518065270973,47.89211676945297,45.928920685731015,49.299846921718334,50.30261639240043,50.510890451210514,50.7745938073857,48.22295987401769,53.3801583838778,54.01007862767729,55.159285775262674,54.4830696517163,50.886862189888646,55.705859424310475,58.27272306707823,55.548044332165816,57.86980056120801,55.864628449264345,60.78870965188999,56.492523388372526,60.45533625988929,61.286431319683835,58.15417994181037,57.571648264731394,55.3768182175916,55.698171536725155,55.78714072592739,50.93907017688867,51.76745946742659,48.68762117290682,47.16365683545748,48.668019180292205,46.524865779363985,43.36157424292536,43.85986086925377,45.12618560969305,40.75530667406104,38.52462132264692,41.338991020120886,41.447565464517844,35.78203468498396,36.34084918277128,37.85696844827416,34.408937618552116,31.699670303084666,34.60081076511498,36.03884699187182,39.48098899415271,41.91526366685959,43.07253608470763,44.91183371774804,50.31099470116626,52.05452918089636,55.3350537344344,55.83197585346342,56.007569319245434,58.54960247530215,56.50447100215108,61.094225208505314,59.644221547151844,54.4589210148333,57.9411124561128,61.0642081258636,56.93079128618954,55.54468287618995,59.284802033967836,58.51582666440437,54.066796536657264,54.39345261195065,50.75542597237568,52.97771916964573,55.39266236515209,53.36279942141458,54.848764577342465,55.92094633489999,53.49568441009781,50.712934585445325,50.86207712180389,50.38586313014557,46.6075970706392,45.41569654459862,45.47272689465751,42.747806171963376,40.68659035899052,44.44346012742509,43.064943320878946,38.342650115172276,40.60747655396011,44.157098962638635,44.72097132136095,48.40305652144213,48.89479738920413,52.768138845206884,50.1527001271172,45.89666415812555,50.58291932499549,51.38686309321362,47.998240596602,48.25556811768152,53.729387139306276,51.52153455732049,46.99435873191097,50.355442941091496,54.11579586665173,49.8084656190385,48.247488215121436,43.78340856012376,46.72228984736672,42.90714908701542,41.21497135537395,37.47077256916582,38.09446630816102,33.903216368214814,33.72970510286959,36.84927462057077,40.116274560196736,41.70198078252701,42.95731345388998,39.98158401712709,43.359496686874444,39.408184926283845,37.27797860294585,40.25983410170389,40.53189065863686,38.863443579583034,36.141198879325216,35.35645734509693,34.96434824958676,32.532259097153364,29.940083690462608,31.637295593571753,30.72762901597931,32.21592989445248,33.605775112914685,33.485972757223976],[20.892782719216758,22.97954175955929,27.18264253944228,24.665233418002497,30.035737874832684,25.9104720567914,27.798211864355654,29.60822809909147,26.561559668896393,28.80081447600123,29.107525358390433,31.102440582101586,33.77367795894372,30.856908703419286,34.52833593354612,37.23091979734038,37.26039038879934,40.87861282099296,43.26040262019539,46.602566787021175,49.70149280094924,54.064285227354105,54.055608679876606,54.19974445167683,51.522139092114365,47.296711640123235,46.154401649245344,42.0809220876259,42.073870243083874,41.31019723409641,41.78144913993707,42.20243649165959,43.997385663157345,47.94240663735037,47.25883914246408,46.35745748602166,46.23971595496515,47.758475218576386,48.376539625306656,54.400396444931786,52.55289099760682,51.35790787116922,55.81357095132353,56.103328345652855,57.74565540379577,56.50100682161404,60.41646424813014,60.1864584075873,55.89609338383783,59.7679089896164,62.2315529515176,63.05697656638081,63.7426294434304,58.62963986745641,62.0914004733659,65.186950338169,61.32298699615094,59.75010965614316,64.56561946968482,64.95376841242918,60.22676534409989,60.03462455138738,57.26608685206374,58.73992216546227,57.50086029468232,54.03961658632909,49.71244116653075,46.46555736610478,43.1180567096098,39.89708516430022,38.844127624013126,39.667747644493055,41.897547353354504,46.27790631636653,46.11293306321063,51.99540928419335,52.569089002401356,54.65132718870849,54.93401889657091,57.064999694562474,55.68190829922596,56.29683700409498,53.967464764535954,55.545649969708414,53.04382495264658,50.67342356772691,51.905891412239725,51.5612595740453,50.58383575890276,51.91516657394449,48.81327519160226,50.09798471829423,46.23486404191533,44.09032999899612,39.92415990286946,38.32764130541135,34.67830996127598,38.480577353680076,36.52259513025433,37.340539687299,41.367302597103475,41.36061653640373,44.554243010878956,43.486283021246244,47.99070549167462,43.764382936263566,46.66501364483044,46.3739123772996,42.19905340549352,41.61170063690694,36.88710221364441,37.59580813211446,33.32587638725247,34.85769269332972,33.77983879727145,34.74323567259462,37.202812658438894,38.22301934637435,40.810638781628505,38.49908297350712,35.40687961774451,32.80441538222808,32.087639509785845,30.94623410654781,29.221149593990628,33.18856173386213,32.289640672845294,36.43217789970232,39.18631436438729,43.66411449794964,43.88114531613344,48.06163131458346,49.204464582190596,49.24844194708373,45.94611827730478,41.8042574113102,40.29140297584094,38.76269099262895,37.08713758537448,39.504930398796134,40.58567643255527,45.02860567989864,43.590397454372976,41.83490855044402,44.77812191055664,42.36789804412377,39.80944857552464,38.348913731234155,38.125615350332694,34.230035603890045,35.329440940191695,32.332093335605045,35.72563877403382,32.088918096499356,33.66230484158014,36.59901243613166,36.08541753164546,38.231754772177666,39.37365495877926,40.914687818370865,41.99986812492398,44.095635477442244,43.67362262889236,47.95093109538773,48.996556641246954,46.91715329999005,49.41440203018846,50.805116313536715,48.14108674150048,44.7366268708102,45.21762823690305,43.31516577823305,46.5367989106616,47.434105425275035,47.61496409218974,47.666013646343615,45.289655630167545,50.292459652483515,51.100747402394425,52.05672639980129,51.566466639777204,47.68138396063473,52.54829423015917,55.2173202107885,52.649221242368185,55.221188648668544,53.43736938662357,58.43976939361066,54.275146342029714,58.12218620288991,58.82979297015244,55.543987197539,54.811337244816286,52.46851344022448,52.61226454819175,52.57276079291044,47.688630826295636,48.28671661813736,45.11764576162088,43.43788687595382,44.77419885417979,42.504386526190714,39.475632443871135,40.00466266680432,41.05773906963859,36.661285058495835,34.71076220350058,37.35522164647394,37.206393826855056,31.664618654212852,32.330274584819634,33.70132445530686,30.136772044758953,27.64202705599871,30.64244288149656,32.230940716612515,35.478182233710164,38.29427769699498,39.21564083176997,40.92185130433064,46.34224849027445,48.05924061965059,51.32150707938123,51.6672352062148,51.87062265316636,54.373500869312124,52.33951960642827,56.99543177196135,55.60793964322229,50.499958910483336,53.97736295612439,57.19540329281375,53.157028880622896,51.79662792558681,55.620749942045634,54.968384300130424,50.52861647115829,50.93814281296553,47.09946654739084,49.19977998590896,51.49466736638008,49.29492100769735,50.712164822397696,51.64525813495119,49.2921709434947,46.58020748230183,46.560201778180655,46.054234935943285,42.37328692872519,41.1420792884103,41.07509129343574,38.33871207906036,36.33254864500127,40.043368773741186,38.60617397598971,33.89549166941538,36.238971825632575,39.7785955076361,40.42077755633514,44.080681149677744,44.612440645415404,48.5184204111914,45.93827950704661,41.76243350715022,46.488030427235664,47.35982813168533,44.02776136994222,44.38379099319458,49.8690851442537,47.78154630149365,43.34299535353204,46.74910677460107,50.55363787350728,46.397028958018595,44.92753282663749,40.42734114622489,43.61842880684685,39.89138320580372,37.93020691883724,34.19805275471466,34.497524268647894,30.222150792942852,30.47857682457431,33.59472139589345,37.01558155519376,38.500228140131036,39.43345421498994,36.47216556516058,39.7723601505972,35.92539434255458,33.475747108549896,36.28275360729305,36.36679003222201,34.78086761817664,32.18786809232064,31.176832237744954,30.684815498577915,28.523434620935802,25.827824864872117,27.30169414832841,26.312001772438077,27.7770703256402,29.186117727426684,29.12563282118699],[22.697881933073155,24.479539009053354,28.209046160356216,25.34079120774697,30.17157068002437,25.52418931232736,26.7663858651122,28.196676904690584,24.599156076027516,26.461475650888378,26.267055476360213,28.301082830338903,31.14451951155545,27.990278009544596,31.273415507126987,34.16439712315655,34.43866580738878,37.786717079525474,40.19936291413563,43.648040611974025,46.66952544039312,51.10213100350239,51.09451301561497,51.46550261206691,48.90387157858873,44.6005793222118,43.63260145462334,39.54360517404357,39.29904977484532,38.53382684740637,38.39526450140462,39.166447875603765,40.66966530450442,44.48902933283128,44.09456643911992,43.27904741529976,43.485131593072865,45.11667051942405,46.00255044150672,52.15654269065668,50.35309999950188,48.7080027657404,53.14114043373421,53.65048903071305,55.304039664905055,54.3069276240383,58.24900991697846,57.89958309717978,53.825972158510254,57.91691981287825,60.10511177842682,61.03048967444236,61.4714597529678,56.3615837064699,59.58458229336439,62.60759398267017,58.70185053598108,56.92476189596623,61.668060421527386,62.118042285213434,57.222568173206255,56.7475455395669,53.85381543618166,55.267517013009254,54.266400900987925,50.861763234934116,46.36103753458308,43.09099747061841,39.70819727291305,36.346625458248745,35.315846700273156,35.895922988097176,38.08269967866103,42.567238710120535,42.45291015125453,48.20428987520385,49.08626743417455,51.06535966245157,51.606431039193446,53.94288528937352,52.80195731050448,53.721722872403255,51.533121016230155,53.4062602568687,50.9573042104396,48.274962995802355,49.18355691988273,48.71429824416386,47.46553265711498,48.52647996472312,45.27427163037322,46.27448247538827,42.427848229256156,40.37450386293905,36.37502678807631,34.53396740866087,31.070406878969628,35.16907686064877,33.51961513844306,34.6300486336818,38.64252729603484,39.23228667258618,42.27760969818287,41.77912660167857,46.517183296723566,42.61028807160221,45.81442602912817,45.86313300328333,41.90696318509583,40.926239596648564,36.266384252860135,36.48031206654644,31.975825950831258,33.40947992194401,31.731573059400205,32.837791166812664,34.88796303911845,36.11485515280785,38.128531662685916,35.63845400019515,32.66485833744646,30.215230218021837,30.060053600333173,29.176353275512987,27.723222316457992,32.13701939507094,31.706833460474684,35.73811511512439,38.74194756890118,42.94047959148456,43.69668325627027,47.83718674993621,48.76854233696584,48.455727698284974,45.27636745033908,40.967156936107315,40.04260927981464,38.039479292015905,36.130867954912425,38.16083592049652,39.12907533787545,43.3256108839758,41.54077265139019,39.94076251332597,42.734128067316554,40.100716365264965,37.767770755946195,36.258651253664794,36.32047097772659,32.40723282166387,33.83343684871478,30.517025268616187,34.04005145152808,30.291947686230856,31.3186622541398,34.34877074070978,33.761218552687026,36.325320422933174,37.121998362612,39.25643217798266,40.39362001833807,42.021118093900895,41.94830391285085,46.0757650212664,47.591528819865275,45.78087706089498,48.55945258688473,50.16203234054224,47.78791402747089,44.16806314724486,44.571054210466784,42.30549344269926,45.24580388882197,45.90496260321354,45.79144668290658,45.79833876171028,43.053807700728576,48.103494146112624,49.03706673808641,50.23386087314428,49.980965339642545,46.3455970875543,51.42289041753067,54.17654391966205,51.5265003053632,53.683588755063724,51.62129919482338,56.742067142529756,52.83239349296493,56.81865309240925,57.81284614125822,54.48570440264664,54.14499891922419,51.99306940071227,52.32530206734943,52.61098228111791,47.819110929678054,48.59726417533651,45.72123918117798,43.729622177798475,45.479814382318935,42.93612742418486,39.83876150573451,40.94681690544773,42.063188911305986,37.46568421227406,35.91286380009997,38.82500323181822,38.448985567253644,32.98636844716216,34.105747851058084,35.594187774483544,31.723406352533033,29.58026197409192,33.06065724843351,34.55165347345124,37.903528220877085,40.79644806867867,41.338632483951045,43.13184818584394,48.50834571908081,50.461883130054275,53.48281615463757,53.44330296869746,53.39738853541278,55.6350246185498,53.262485606174764,57.99231616426586,56.9581540506275,51.65500660095553,54.84770762803406,58.34668589619331,54.43949925473388,52.767258748001424,56.472515568834595,56.238926624626934,51.838605933599105,51.67220600276389,47.99809171401286,49.55878167755276,51.99189796340653,49.93720381403777,51.02538693161886,52.036000379394046,49.300753078551615,46.852235860896265,47.137512853443,46.24989383478028,42.46701819862068,41.75133235007377,41.67515466456681,38.79899420311149,37.142699985738105,41.13579463809013,39.63175082536227,34.98226232612997,37.76585689212307,41.3888760322116,42.07097702749777,45.50217568461795,45.71619579316377,49.80710754440199,47.62522174161988,43.2752027467281,47.821541481847916,49.09290544436893,45.87449695090994,45.87997939146493,51.553077350159285,49.87175537092546,45.25317390866659,48.361938979002815,52.519087724335144,48.61319299598914,46.894846510213846,42.42087373661087,45.989839865065356,42.443339539086296,40.61276845826788,36.546545938177815,36.4641352146251,31.94892868599742,32.475907075034385,35.33698883236316,38.863713804033964,39.95417148091228,40.75359420560408,37.233480772093195,40.19713266767447,35.97317839529099,33.85377533841303,36.23883031174033,36.51386396727256,34.33321916670822,32.04081156877928,31.624006676451597,30.733771850234568,28.042643642232292,26.221991887684748,28.053096598717435,27.048327548989345,28.503045778714863,29.943480820292756,29.783995272690067],[24.519541581681793,26.623584492207904,30.35602301377015,28.131965299753972,32.66652415941676,27.335713971086722,28.504666063552662,29.18468465212693,25.572448845186436,27.744679239101913,27.011355107946088,28.421815744135138,32.03158367814808,29.20499988784176,31.853568328873894,34.75020607571189,35.70520445726108,38.938860328493114,41.76778690425055,45.05568894402332,48.19674565407254,52.596411221262066,52.82753906706326,53.47328774149666,50.89459963556993,46.587939213306484,45.520387821703764,41.33476786326329,40.575264568436,39.38284061924814,38.74331446013851,39.32395721845577,40.33843020832646,44.287248739212316,44.298370225061696,43.94891769252477,44.137591502313526,46.38556754295445,47.57556345908445,53.70896810445669,52.29683714326857,50.34532293175315,54.678249852429985,55.54037364258052,57.42116193668322,56.7108035296579,60.658802383646545,59.98578605772411,56.05272041583694,60.210647707189125,62.0573035914158,62.87445230015114,63.05788365363171,57.988195784576796,60.75977307136067,63.96741080576207,60.21006239947368,58.02106066057731,62.68230562985475,63.49126541065236,58.47389578947364,57.621649678208655,54.47761333705101,56.14969948436034,55.444457302063405,51.92086116447793,47.51388390625047,44.02886260859864,40.9555364234364,37.26703481262717,36.5490874417316,36.96999779513514,38.761739472359366,43.43529793876024,42.97867789193968,48.46379365920013,49.61780419201658,51.17918962468171,51.982262317807155,54.58585313361929,53.400218680196055,54.699332724280154,52.27068912493148,54.50755919337462,52.354139274470455,49.3688899307118,50.234721184890404,49.26337710946176,48.15808798819737,48.59552125646202,45.45114670111518,46.16192895867202,42.23231229887332,39.981751514444774,36.263109600925915,34.069584363829996,30.96119298486163,34.794616894820656,33.22048205690311,33.831178541761645,38.42748662083376,39.13399944728659,42.558656038815215,42.29166700134682,47.4048183972197,43.759846174710454,46.90862017149129,47.3573046999504,43.48395825045092,42.12039443222327,37.71761732089317,38.059882536898115,33.534451037326434,35.39049457892177,33.55862935017077,35.12516953629256,36.96541600941371,38.64921617493026,40.307073684367175,37.38020094313391,34.694089675684346,32.19851924446563,32.6623516437683,31.647405696381554,29.98907466915574,34.577456999146236,33.74819273041308,37.838022635756566,40.7452926426561,44.70846121880506,45.910302298885696,49.82667478643672,50.96893767222862,50.23085885481578,47.523811078512836,43.22846416646447,42.744493590950995,40.80274591175595,39.06825775274568,40.828978620074736,42.14402583742594,46.164470524744786,44.00693088234547,42.31747026873374,44.8381818584446,41.810038311304034,39.66617659759824,37.73604340303647,37.65776449918695,33.52843842132817,34.61997993576841,30.784953556929224,33.78834703748513,29.422750254176528,30.49799470911504,33.97062371892071,33.901000617480165,36.70632726986791,37.73062367581542,40.28934486004785,42.03085988575325,43.49331700139354,44.06282720503904,47.918910650134066,49.861777630206404,48.51762382463588,51.226604456063136,53.151521650042056,50.805862380931416,47.16195361976231,47.28627110275892,44.849058560470674,47.36876753851934,47.66475598384827,47.19579378274078,46.81370871222437,43.8835941600962,48.67906599012852,50.09751717143598,51.28466289714622,51.5844198047386,47.81395835962537,53.128370857532374,56.07899861802578,53.57800349269472,55.645146963509795,53.57457307915471,58.859454899726714,55.31505372895541,59.299711883913346,60.38639688995438,56.89814596231442,56.68592103901252,54.51122033216408,54.75159731026622,55.06151006890518,50.30673394326084,50.857494137025824,48.00426128136916,45.63909205153378,47.26157385688653,44.353845183825925,41.533219907472905,42.92880295599372,43.616642208241444,38.946334234247814,38.098828320668574,40.688092278423184,39.64137036385553,34.61488833307048,35.98171013599511,37.046282761793144,32.92951508570518,31.416368530487148,34.8909431090911,36.73802808002419,39.49369389308288,43.16897678356171,43.37965151836126,44.811207381154404,50.20046899875673,51.89083791269729,55.00612516430035,54.67409614440139,54.749234123804854,56.84812947789652,54.45839587025388,59.33838491882631,58.522504986693754,53.39093669560599,56.477846642055866,60.2153126559208,56.526457569423556,54.840486909319374,58.615818258010435,58.670515387135865,54.322967855364126,54.11980417144163,50.23651528292771,51.364372244851225,53.62294091130248,51.289916448637655,52.026460962099875,52.65888472543763,49.89535726922538,47.8686251720088,47.81603947753172,46.549832963631275,43.08295240004337,42.592417760891394,42.00797879244766,38.996330063125725,37.83699662068757,41.64675017539459,39.74709396617815,35.24744765987263,38.44894939942988,41.89591224150051,42.970145128944644,46.315310398916566,46.665180797472985,50.851386808724456,48.77063793440742,44.728480897818315,49.31852988634007,50.74111578352554,47.67305126483978,47.88951222818534,53.53654248426449,52.05442119496793,47.655071632926,50.80739858211871,54.995855709185335,51.31143875499722,49.75993270845502,45.2765151313669,49.07482182955622,45.61976580854033,43.43866502613533,39.53168146194346,39.05105231105639,34.480926410858885,35.580822525006454,38.39595852036092,42.06050157452192,42.99559206081635,43.357596799188215,39.74848919988395,42.431222137663895,38.21788989636251,35.788420253325505,37.52496825769871,37.45166776166873,34.9807851249618,33.35492150406257,32.78772221466771,31.248677654558982,28.96158821169589,27.63887689613593,28.923156736752663,27.36008041201283,28.49470761250999,29.92414799989306,29.611581600325188],[28.052775173070252,29.69120462114983,33.023891150470114,30.002632598125736,34.22216648137873,29.131839649733642,29.639314834925973,30.462985248088863,26.30483114258871,27.590737851421927,26.555916653318924,28.469633918578598,31.619823826503044,28.18991727668456,30.622602905651764,33.784153575988924,34.50413779648172,37.272222205375655,39.61870386487416,43.24733507273525,46.03354058391184,50.54965824915744,50.476026270210255,51.19652077424887,48.924789776349314,44.54586382933097,43.950509046393016,39.93607967912823,39.33048886790666,38.57572175945265,37.299319400787894,38.6766906075701,39.545461514312365,43.09868832527991,43.30377984162111,42.6943773739255,43.459103882626586,45.27300214877925,46.574678844588924,52.85489661016929,51.10078261806035,48.75789693690821,53.1083947366306,53.94106078007867,55.535362787454496,54.908206806634986,58.843593337937776,58.385749158826776,54.69882828420701,59.0772573339446,60.866907110732654,61.953611299398474,62.02636675281669,56.96950731429464,59.79264005092756,62.65823826600742,58.70105655564172,56.61748141638363,61.19148737512061,61.71186219989495,56.5646303764715,55.581329822770535,52.480660910423886,53.71898489469004,53.18601137893994,49.95930525310057,45.13433356251773,41.911567671215366,38.45159268812787,34.91788298311768,33.88383081785645,33.83658769111124,35.99905131531436,40.61864705430783,40.69920678457091,46.07775847654532,47.62486988406386,49.36453718902961,50.42859784228739,53.13609172652675,52.43708020013412,53.87606293970191,51.91676299215393,54.244800833026126,51.91462451432047,48.78097473789192,49.1475018829856,48.449282607584294,46.74441125326879,47.244162827732154,43.74566743084391,44.10018532929068,40.33722264757755,38.487217009074314,34.9471773797364,32.573078962437684,29.648310034249437,34.16782969604537,33.109124151401666,34.50095519621798,38.58943888081712,40.06228864307428,42.942712795271916,43.273604911662815,48.31640687811129,44.899479282360026,48.403493057368394,48.896101832795054,45.23501828987827,43.78357152227366,39.313174571475926,38.977928069290684,34.2916415065131,35.586701834574754,33.118702809459265,34.36649018120629,35.73150410014053,37.16328531729983,38.17963678288187,35.53652521439533,32.8101158349201,30.7491935688961,31.42266800781389,31.00629020499544,30.009622153541955,34.8468563858021,34.96610795357263,38.78506138035458,42.00575882646092,45.808405571304476,47.18213932960447,51.21641418441989,51.91784317580225,51.173041387125764,48.20003617069413,43.7542223091704,43.51408026785404,40.98895576178435,38.80060108764628,40.30995321691856,40.99864190309008,44.77992942189618,42.5804291943086,41.28991523351786,43.83822784897121,40.943923820428665,39.001018401921115,37.46190116305583,37.91791946710017,34.05332628281083,35.80465949964741,32.054144586410246,35.4965084954154,31.478121726487927,31.789854877202334,35.02687864161201,34.49485382303368,37.63150840667553,37.98159376347483,40.95324366933922,42.19810305311354,43.12914178761279,43.55032959694569,47.40647434224309,49.54426301511623,48.066047288833545,51.18845169205203,52.9893973516861,50.99744372076268,47.170050765444344,47.510256367972076,44.84143251454581,47.39638593362442,47.72772826250021,47.197403483424566,47.10778622818442,43.85840811531087,48.868941064197095,50.03283159925857,51.55244935220959,51.668999657208346,48.39790914076578,53.697591173764366,56.53751792072978,53.813693668935386,55.39112869489293,52.95521171297604,58.17439193792431,54.6180906679311,58.774589800984565,60.13628491559766,56.80660181609638,56.95862401281433,55.059997263394095,55.60817075451682,56.24720344202956,51.59763774157926,52.539433026982884,49.97172741505549,47.66447852384495,49.758301123501205,46.922862149086605,43.851468359768226,45.50311812859576,46.579040952888604,41.84584879237764,40.76156629271483,43.79161249460441,43.087386297044915,37.849293072084855,39.32492686788081,40.77035704078349,36.66372581380143,34.92954676450675,38.65485081689383,40.16495895052416,43.415029627717125,46.516265257310316,46.76946929825278,48.52464930436575,53.857124248271305,55.873855629020206,58.76977922050196,58.39050621415642,58.1999150297637,60.18705100146169,57.54688136207502,62.35074262923424,61.66010198390889,56.2618407468364,59.177400608168156,62.941490395995785,59.197044431398425,57.26930310295229,60.85269404509661,61.01726103279062,56.68165329622052,56.00629597647211,52.49143888205223,53.487692954773,56.00367704217736,54.03821183881403,54.7347483720729,55.700795961661036,52.62356936365247,50.5615735245738,51.020265587769345,49.67951073995755,45.94155384776779,45.75621856678681,45.50590689106039,42.4938044935505,41.31211115547857,45.42063926497023,43.72710045402575,39.22102223345628,42.44303629446796,46.030564978958765,46.8785846098015,50.102341536024085,50.122053515217836,54.3605532009404,52.50829536547652,48.146165302608345,52.541454610690664,54.13828002268601,51.04934683945657,50.84397907641777,56.62211951474687,55.27055871536675,50.58265727171694,53.46232171431861,57.86326618268121,54.16969943658116,52.29999000767278,47.866216272722816,51.67408229563218,48.25176174161146,46.48875223562394,42.26212987870021,41.909516874956,37.26783051577978,38.00681402241162,40.66653304606653,44.23740265643421,45.02490923773366,45.69449576496716,41.73749300947533,44.336050707162954,39.809722684801976,38.00108370166514,39.839306275345095,40.20431704141309,37.40973984846687,35.6190864317643,35.71123248206909,34.302538747871665,31.293070156703106,30.434911661234718,32.352933903742056,31.142031374055144,32.44255533465133,33.870306465444074,33.50524797536242],[27.736218440237906,29.580172829284173,32.76687014660664,30.53364130768291,34.328617427613814,28.506444221132444,28.98530933287362,28.949001217918806,24.969767570695957,26.783008422677522,25.29739673487446,26.355799492193416,30.383934256532587,27.604987161732243,29.406577660168647,32.40641855141787,33.93115560816752,36.75417323870977,39.77300490824895,43.00475749247429,46.08360981229064,50.46314125832288,50.82147077073831,51.805952808032636,49.36098261758336,45.054163963372645,44.112466681928126,39.95298186712578,38.72212649817796,37.341862744613266,35.84440255430643,36.67548633968063,37.11952686170535,40.936020827016804,41.444127174875675,41.41943336077973,41.9210447078823,44.53818056085847,46.111639528968304,52.26354882126873,51.09833667634765,48.607267224657974,52.80727257145745,54.03845339428942,56.022245383723046,55.69135063933841,59.620700128158525,58.68118141526727,55.064545618980354,59.40469614363781,60.811487613969305,61.66281155463683,61.491665132513596,56.50166142556844,58.80089308874513,61.994675506362384,58.30755695255736,55.74898270844665,60.25522712107844,61.28974214653881,56.10592974519026,54.80903019446721,51.45263077155514,53.190226404969316,52.86215941075375,49.3701221595671,44.91741108704639,41.35182677031937,38.48176319320318,34.56025690773494,34.067585464227925,34.17293050119294,35.63858669113239,40.42700951697873,39.82685604342238,44.963866515184975,46.5362983047029,47.7649896223751,48.94094128587973,51.84602621782018,50.89069472749166,52.65247628445697,50.28394132456532,52.94803006798297,51.0079490402642,47.623913426440865,48.1393889778227,46.81846991671839,45.530670342088946,45.3840713719204,42.18881691571559,42.46046830329509,38.55675268397739,36.33018586642275,33.007518794826964,30.41386022452599,27.788851801283972,31.69183395416855,30.53930641102528,31.21631606924767,35.951976763342806,37.33423715551124,40.6925591735357,41.11944922200286,46.52488485489121,43.377261088460955,46.74109154789132,47.67047817741239,44.11659527183119,42.25555790533326,38.127115451855246,38.031880451305575,33.417642312368514,35.29791192490744,32.8884804215791,34.75572912659106,36.0542946042723,38.11227534538314,39.026342126231896,35.773374403193216,33.43851757234898,31.147806880803397,32.42926717970788,31.62190472296578,30.18967874531638,35.08176813547694,34.54983378418552,38.43067724794038,41.45709115658498,44.974814630523916,46.83798060979765,50.56314579385515,51.569496144214426,50.33185982856808,47.981213275395895,43.61927339116628,43.869253183423226,41.565846791906566,39.743290355127996,40.987730770822594,42.33907367645502,45.969411096107535,43.356973490369384,41.80102849288735,43.9951839384412,40.63163986136033,38.8465448970445,36.7238314620332,36.86333528375984,32.754949396080214,33.993252612478884,29.750845223667284,32.55872894942255,27.982334857684528,28.404003624627364,32.060839448615404,32.148094459625995,35.41587189410518,36.15369124608284,39.43652587667363,41.449361083746396,42.34992459306704,43.53849461491886,47.05122174156666,49.59958667504783,48.73672603754878,51.627398714794936,53.85939285637492,51.82293839587707,48.033626753015355,47.964607328384226,45.166300217499234,47.190931759909404,47.09499813126319,46.19266524444521,45.603143018960154,42.277856629050945,46.92041878093329,48.65572815189587,50.05941589191169,50.826342699790395,47.303472447174485,52.83471240684442,55.90807359932812,53.42642137117225,55.030418587031804,52.72246576684123,58.12352582889537,55.03036237746611,59.09311926211858,60.47620444856634,56.918658859708444,57.13026254449244,55.15228299944057,55.52817871271428,56.14890266711607,51.56013907640367,52.18513343493542,49.65719204647934,46.906028105904554,48.84771278682557,45.60674892273401,42.874661690223824,44.8814701412399,45.47618934025225,40.692068885128414,40.45531975901713,43.13417330791031,41.69563720650473,36.99717517751502,38.80977815198371,39.83974894141835,35.48222606364235,34.49309207429017,38.30363383135007,40.119052374160255,42.76476099491833,46.66377483843756,46.431978655415165,47.821429137457685,53.10218739023692,54.93203066584889,57.80375848246781,57.014090552616494,56.88142264486091,58.65467242273305,55.95567006733895,60.900234009176664,60.50830856722048,55.30164910921864,58.043405067792676,62.09211272237153,58.64008788587101,56.6717014011566,60.31485158704011,60.86840232671909,56.621748291856626,55.86959900482539,52.11650941400137,52.564600686659354,54.863228170310705,52.60780504876781,52.89158905022757,53.464861622418724,50.34978343650454,48.76468327331762,48.902872433558684,47.15226235882689,43.758653061232295,43.862286495572924,43.120472000296935,39.9984883900915,39.370086388807145,43.309920525031416,41.27216181183221,36.996292157010615,40.656000439524064,44.06054118349349,45.261608862656644,48.300624322741115,48.37485091429107,52.706860575440416,51.07349155078265,47.01774062330024,51.37828512497324,53.21085176267191,50.33619297808831,50.28552414332691,56.031088212753104,55.01029304667613,50.56127951314103,53.41413737278799,57.89697953278517,54.553643610467724,52.84352900435622,48.430881895241114,52.59936175778675,49.36898684894518,47.22061071460702,43.11540343941675,42.191909675927306,37.48945703301138,38.96554846203837,41.49764694536536,45.24031640753179,45.764708441742144,45.853970117345376,41.78121076210634,44.000866210783485,39.5421927889219,37.37147613326924,38.43473696736963,38.42836969032508,35.34575665357967,34.30694784770953,34.27495205947338,32.195858940337736,29.629894957226707,29.371415669707982,30.753642059170524,29.080100601798726,30.07271551336608,31.473494958506887,30.992406841452407],[33.369564510083364,34.916158680427486,37.775378363333765,35.0032298158153,38.41932889625547,32.74803831373053,32.56959659123071,32.438735118637965,28.02206455377634,28.92813878209385,26.920262259945822,28.21801285318968,31.929200601077742,28.698301894664304,29.830541943080824,33.06522892897939,34.61810762836095,36.73786975420556,39.31646631783393,42.82488548110275,45.476759637141555,49.923838048369866,50.02540395007698,51.23831904910743,49.189914903142295,44.85583429845265,44.45184558184498,40.5247635033126,39.24711317077818,38.2076793606164,35.67120116878074,37.380812840177086,37.34622428282968,40.652509612748645,41.641494862192545,41.554206850980236,42.74757952662891,45.11185029087734,46.946627492579545,53.1821565406013,51.813286465898294,48.73311456944589,52.85007743562288,54.209699153916446,55.937686802079114,55.84832760721831,59.72758633590625,58.89951141047369,55.6785277474806,60.26902627120112,61.43623606759654,62.549230701683214,62.12484518238697,57.21391041991383,59.32809569828335,62.17336890222926,58.351963939974304,55.732830040647585,60.043577501375104,60.90478893040567,55.54126986990432,53.880548941493636,50.470249051900936,51.78103317991124,51.85077126287321,48.710843453672865,43.84257030572722,40.54771822478714,37.4192510541924,33.59291482947827,32.89403646521598,32.27567545508908,33.94139951989907,38.682676022911345,38.58752180307827,43.329576655222255,45.56689847317099,46.75616152923054,48.41222700773801,51.56699264831118,51.204135492516606,53.31670452823604,51.41949371596017,54.339123103317604,52.355906737062675,48.69356065924943,48.578098221402556,47.34436964863816,45.40968058799537,44.98216116055357,41.44333770029879,41.05465406614054,37.387338826903004,35.613710843927116,32.79177675210197,29.80238029320055,27.752752290120007,32.2484546698689,31.826798377092757,33.16341786278171,37.465914449961176,39.77933697846521,42.62328216608163,43.83314278659609,49.24108709156253,46.49432033290084,50.1741614393261,51.28919821335787,48.018484423252076,45.957053338038136,41.907052735719596,41.159485262292804,36.457792647346224,37.856129182559485,34.74723860636725,36.40046485915552,37.038907845737995,38.96093890978686,38.93134681940703,35.87692933497889,33.70133311775857,31.9723742672306,33.72175084664936,33.54384771142469,32.78069456353282,37.87960803936159,38.19100093170859,41.76008703632371,45.034207345180356,48.26304786873902,50.43698074349301,54.17467960949542,54.787020747930896,53.397790128701374,50.96167488462977,46.49547335106054,47.14007998233346,44.28231272147154,42.06452228081417,42.92336819897529,43.69188514854367,46.92790258047014,44.14733763013889,43.038362520679456,45.10970502465891,41.78027241803943,40.34623389106781,38.52935917701851,39.207020402720005,35.39499505763325,37.18354113224781,32.93615095434938,35.92157816979526,31.594627884984902,31.172267815979843,34.65254464474076,34.452870014929886,38.121476825482866,38.180317853966805,42.05057157880867,43.73012758785327,43.942572038264856,45.222567574555924,48.56813058465618,51.48667083249039,50.66859345824417,53.9573126526263,56.15176300214656,54.5207251284683,50.56350943637042,50.62981978571846,47.55413466977573,49.43150626838849,49.22849512773023,48.1156323188974,47.69377208543051,43.96696343471301,48.66459410618819,50.31159805681513,52.07703458985967,52.87258323157674,49.89321764836801,55.44460785385189,58.44756152644756,55.80192486654546,56.80425105169945,54.09668399985632,59.44249871061371,56.523663480276944,60.74122461736938,62.46078138171738,59.04452072912951,59.703838354082635,58.030158249936015,58.69666447321164,59.66444125500918,55.2272024858589,56.16968186253988,53.945356743349556,51.16068593002227,53.503929172022666,50.2474211592013,47.38173497394512,49.688920661358665,50.52082181275962,45.69528642137933,45.414534937403396,48.387877862854374,47.09495289873897,42.34473357013288,44.2780055128546,45.52456869591616,41.151307424847474,40.09563413961335,44.06899223882995,45.686091478219524,48.60461159041371,52.185580274771226,51.94101266265036,53.51621892334158,58.74400186559668,60.768575362528566,63.48378484779041,62.58510264968762,62.253514103288786,63.87814032857401,60.95206152205948,65.85039300749915,65.64513476760648,60.26150469903539,62.79604938798248,66.92744741692577,63.49905596030832,61.30571863497323,64.76962666175125,65.50958612060838,61.30194380790681,60.09150896372701,56.653272514016024,56.84173061074479,59.32379511584024,57.34982090653828,57.475893342811595,58.240090413604,54.83028576128713,53.370924519942015,53.886326088342,51.95057789047057,48.43864367875376,48.900714085486015,48.31389711695506,45.18085939748994,44.684408741436805,48.79842676418714,46.83873680346178,42.63754324101681,46.3881843787734,49.84124443830228,50.95275003422994,53.854471975258456,53.67844193708095,58.06085879717739,56.6610622381919,52.42764222080215,56.61070060815018,58.627330233049314,55.77819534321698,55.41340894005409,61.24961663057002,60.38763106310371,55.74897440889288,58.366282377064536,63.03157404176877,59.7267589988308,57.77952191489892,53.41776500974995,57.61665632158272,54.42248468147111,52.56298818030526,48.23838694055142,47.374032533719195,42.62299210993636,43.87462844744019,46.26872849495773,49.938598067996416,50.309510417151685,50.58611425055638,46.20369825034964,48.25599863033886,43.542664180530394,41.89800930660902,42.86546121923995,43.16967571394307,39.73328901364388,38.755141851784224,39.28227981670617,37.17896339228226,34.11349621512311,34.38869966353282,36.162534327620165,34.66764867096766,35.71368544492451,37.0851473341621,36.49879665821881],[32.27630055423863,33.70102202202844,36.20070310129729,33.777638806280976,36.6852966752508,30.674584879211388,30.26782036833405,29.5770879892547,25.25381405951497,26.301826680821286,23.977267650137996,24.753576244789553,28.902088791641876,26.11827944026412,26.793563316373923,29.887986074616343,31.940120013708032,34.08385993152337,37.12404912013296,40.31226677141321,43.178462533962474,47.50183824123026,47.92427167969866,49.291691895598056,47.09968315611236,42.84691378833343,42.17810216049048,38.18017385693674,36.49628827324631,35.07247553526321,32.4397628607447,33.798449896130236,33.54138401613189,37.00198419854388,38.121492004546354,38.376943859101594,39.39635886571276,42.23533694538935,44.23284080803157,50.35245375948201,49.37533044579036,46.22703332650594,50.22823554016581,51.83945336974907,53.840678048847465,53.948937039313364,57.808054484035324,56.64170199820497,53.473585039147885,58.015470163888494,58.92025097047144,59.873832654529295,59.294784390015444,54.44456020080527,56.23100565152542,59.28052427571813,55.64822219251639,52.7457517945392,57.016941903323186,58.20836083160941,52.856379989252694,51.048528855088065,47.50252960451016,49.181545212212754,49.31958810062,45.98027747737703,41.4303699984106,37.897264185151286,35.22233060298662,31.156595002102385,30.870588355125427,30.492470686649312,31.610100314850865,36.43318320799759,35.80697950091584,40.44496822765135,42.579228771308486,43.474153975241485,45.12798840913298,48.36242680144113,47.81708413565074,50.09897425355915,47.97737095650824,51.087817977183626,49.3447035797355,45.53881882390544,45.51453478900716,43.91827200851357,42.262543039165614,41.4894859585366,38.169577308859324,37.832498131337594,34.06052509424393,32.026958652930794,29.29787578496713,26.233537021350593,24.34535671085091,28.4417792834137,28.003214644018698,29.049100661212787,33.57935943506735,35.94105827758439,38.93883859661587,40.297971963072136,45.866945984326904,43.36644778308431,47.00872764426799,48.4154793483314,45.31338046854313,42.970341890536844,39.18546941511941,38.43015275826467,33.814031165628556,35.48499007073555,32.3656166849499,34.403567812691236,34.949412257671305,37.297859448864436,37.21257122626177,33.74450483145827,31.874564924868697,30.00648216083481,32.18761571996576,31.778973728721052,30.814294196419873,35.90766219946158,35.96646382443983,39.45017232266453,42.62317079209346,45.57202770048533,48.11896823031585,51.63202592882946,52.346216667561976,50.61973602990364,48.58471127687535,44.189995365434456,45.24898598034869,42.464181728683926,40.47368449896799,41.08438179872326,42.29028822017985,45.3711967832675,42.30646538474769,41.02822642360064,42.82967233900307,39.21185559178026,37.915811092611236,35.75855794972144,36.292223350915,32.42448759892746,33.99957636806785,29.53899674678602,32.21625681695148,27.786686164725417,27.179188605853973,30.770865317607075,30.83568360453222,34.60291814472781,34.77368844880739,38.870364561951405,40.95459243730075,41.0772207092253,42.85764707140521,45.937897254431746,49.139544919260274,48.76168891513117,51.90847997741721,54.39565867567982,52.80193964004059,48.87199447205747,48.66324494757138,45.47754651512338,46.95981857710825,46.4671960877464,45.10707102379381,44.40659789423815,40.62247818096794,45.090740909467584,47.04509776437812,48.76448833737095,49.94783811199151,46.89946019859785,52.562558839672455,55.68589648119939,53.1878637799917,54.1415220413102,51.50691182260956,56.94612726228321,54.365917631218466,58.50887196169502,60.263041048725505,56.71839931082047,57.4714029300027,55.800914504719024,56.40261968515499,57.431731657311296,53.10017296082983,53.914940183639416,51.833815445766696,48.767587450426994,51.152259116432504,47.66948578270522,44.97866566871981,47.620855551499176,48.25893987579331,43.42733239456476,43.67697368117608,46.54902422653079,44.90538978082624,40.507721819896055,42.72744769259362,43.85421732811332,39.36479232946921,38.767504878801894,42.905893545056884,44.54665043673283,47.24862363186534,51.096733678552745,50.4702235168121,51.92972368739056,57.03675325441613,59.11460241338433,61.64360933985138,60.411356686689565,59.97448696318084,61.37691856510376,58.3105468419257,63.23858801997939,63.30598204079536,57.97495754969575,60.292304479885615,64.6161780016303,61.403769307166314,59.094875031248215,62.50808325824585,63.5831846735302,59.477762275969155,58.039282280208525,54.57809395244376,54.31404405403907,56.7153524500989,54.69890370540511,54.530706305129435,55.17602236097739,51.641732137656774,50.485406752723335,51.00867172382971,48.803210873694226,45.423242264175244,46.20243439898216,45.47210190390151,42.31305833542439,42.16474139872658,46.27750885685176,44.24811471023607,40.25219020081404,44.250208241973965,47.62810037174573,48.82405581743488,51.49237500330039,51.17179719875894,55.60661488467629,54.50289156065507,50.352719094003625,54.37049778731364,56.63681492709078,53.96492972868761,53.507076120940994,59.33621774666856,58.81345471140685,54.25509482410123,56.69985970481697,61.5006295850024,58.51046741283024,56.55599900414321,52.270783191710095,56.7632438871597,53.78666184112844,51.81963649206914,47.46367459225143,46.17876356783377,41.40237688274547,43.090156283219834,45.27497651375993,49.014005541253105,49.094432498482604,49.01584427647484,44.45497552613324,46.16369258757234,41.45583332586044,39.7832762192635,40.22213625142714,40.44387960171022,36.74690573886778,36.227678645971274,36.930050723569416,34.480758325306155,31.47485285759951,32.35047565643086,34.01190408951803,32.45197470196157,33.38431326572503,34.72130807880602,34.08066568627608],[36.41110788135431,37.791985598069616,40.0549919159511,37.79719949157071,40.29338408415042,34.151789778503215,33.426080873038515,32.24697535237662,27.978287572720507,28.76857834562544,25.990616023514587,26.31065562908381,30.633187816254214,28.109198119960848,27.9118898152572,30.912810878196854,33.43981938368596,35.09732702858721,38.20359483244469,41.233716357019716,43.95356183423256,48.152559131173106,48.683166782946444,50.338913453112205,48.325832521351785,44.17922657311285,43.64253905738265,39.78944603205676,37.72737314931809,36.15104483337828,32.745235298875855,34.27250503376327,33.363885416351586,36.56655053681036,38.227672261482354,38.852952888488964,40.12748249392426,43.27648918035536,45.57369366378638,51.561092473346115,50.84109619260324,47.284546086411204,51.07173558767502,52.994611748492844,55.052037683562126,55.48897815179362,59.265786278668806,57.88685807934648,55.046156224814716,59.658661033732336,60.173928396183214,61.13353412812754,60.24511191472159,55.54724946173089,56.85331081592102,59.861351403837034,56.36059798782602,53.14064713782318,57.18600563192272,58.595638727280644,53.16641582826086,50.92461906250455,47.213237678779386,48.92796240905415,49.473673613153075,46.2414607049061,41.75426153853208,38.24945772440809,35.87932267886623,31.746754374861553,31.70345216796867,30.96007883530995,31.678010874032395,36.440399986407044,35.68984697195614,39.75730123891576,42.33968249461934,42.813222419928515,44.85932234208732,48.353666455212334,48.03748096353087,50.736615365722756,48.6792390020066,52.12719291445035,50.63484316836822,46.55624213424384,46.22469747361673,44.28929525217829,42.52194230065223,41.10145052300695,37.834816820901516,36.96138093828093,33.34515827722099,31.407891877353347,29.32027057250333,25.910612509647052,24.796512351573668,28.64621561644725,28.679436717580074,29.60655249253377,34.153323868852006,37.0022770987715,39.91531579614759,41.80178022395455,47.49149930393203,45.443666124529024,49.115976807112375,50.866349259652864,48.03090731513015,45.38385410813099,41.91703811048727,40.95905879362776,36.45670036875247,38.14183640671981,34.757194992682024,36.95636285658419,37.07395951532163,39.63370030974484,38.94012067544652,35.32630038390605,33.8489948775469,32.24473115979723,34.94014930875021,34.67963264693384,33.87332802886389,38.95929247715446,39.11545068789098,42.392223320142975,45.52967263100809,48.11204848349295,51.0604002153484,54.361459150194875,55.023087364060096,52.9530622243282,51.255030793751665,46.91857941839583,48.431294452790254,45.51620452549079,43.5417033817172,43.79702865270636,45.013221368230724,47.7404380842087,44.40325872630682,43.25830556338366,44.74632711491116,40.94604862070668,39.9848301911271,37.71798005159518,38.36400002334638,34.640464030111914,36.17430271604191,31.564638289268043,33.83582176050697,29.36499143899156,28.31353374275661,31.932863264507926,32.236593439865224,36.21381680296885,36.20979222576593,40.753182191520054,43.05893636395454,42.75085427726181,45.00892478456233,47.73035737914833,51.341006744643686,51.34126915154174,54.539144832041416,57.21154546163101,55.83123237899149,51.878720854047614,51.528932642733295,48.16909202509011,49.24742792662691,48.449140470051034,46.76031161200224,45.86005093496094,41.85472388725649,46.020742954293496,48.262528165885925,50.103686080838244,51.69501596981659,48.86335988689497,54.593026472767086,57.775468380059195,55.356686639604916,55.96104942058054,53.20037255303271,58.6475287344389,56.47134160129165,60.607963862238236,62.55019822414556,58.99218297765557,60.0246594380533,58.49664190898882,59.1558351481842,60.352650012544075,56.180504737856495,56.98165209833161,55.100899995640226,51.8176729276524,54.29357686625226,50.62635041854382,48.093927607952836,51.033342384852766,51.52401541346522,46.71514757283595,47.36964589165923,50.16261095488951,48.228603185932194,44.15055130279199,46.54932038886081,47.54791057034288,42.995604253487706,42.730696863959494,46.9098930134834,48.599245687211976,51.09494210794661,55.16065015941589,54.307897835471906,55.65032809869159,60.6654167107295,62.714530061683675,65.14586606522417,63.6506496372084,63.15514551314003,64.35276765278756,61.166864739469034,66.10602124246054,66.43644205407372,61.16828703745866,63.26384255392045,67.75260552700585,64.73607503487071,62.31223432918627,65.63594192537175,67.00746308193997,63.00026516682597,61.30417396922305,57.908648267806214,57.216119453108305,59.565607099134716,57.55379344796022,57.06494836919853,57.56885825858727,53.89791913584262,53.11055781002659,53.63651665646607,51.118919514355895,47.937909555997734,49.05751072979103,48.131870058278196,44.959393522964575,45.19529819836187,49.22659346894064,47.067832974038744,43.30881940671036,47.517776431220476,50.766797495934554,52.103233191983236,54.57576705745555,54.17131909505874,58.63318500535206,57.77125651591412,53.749481387927815,57.62197134794695,60.07926800650728,57.554895247239344,57.0379160816165,62.84124052362802,62.564525838844204,58.07607739584584,60.380737324125484,65.27089735969446,62.490805950879086,60.5205646507131,56.29883264420257,60.9389464843109,58.0793780925552,56.06922187996827,51.71147520525534,50.212480433547505,45.44168695797241,47.33565037666424,49.39077696990693,53.14219227321471,53.036232122200474,52.767902467520415,48.061172603253965,49.474530262666164,44.748074067171544,43.17704298669233,43.15086251814249,43.31994554329965,39.35849001754848,39.30387164915729,40.19498426552721,37.432922544625605,34.51238344613347,35.91927805531819,37.439985334538015,35.75445760715498,36.53096362081577,37.81015429236301,37.04266939946443],[34.83336699305785,35.86652230013071,37.75661327004377,35.223993037847244,37.361810858606916,31.371278098424614,30.28763757534079,29.13985999886222,24.713117556681595,25.11091533694067,22.235122156455443,22.770730568684748,26.825469192837524,24.169672150994213,23.919506549651903,26.985201917043526,29.40987529358489,31.015992010931477,34.09182232003933,37.14489328599127,39.867942514283754,44.0871329313079,44.60891573903784,46.245709442590055,44.21397289578205,40.06476949604269,39.54410318689677,35.71368142676558,33.68777683245467,32.23515934958259,28.823576891000947,30.54639118717201,29.805056877636588,32.95579770912947,34.47569051259486,34.925615277702654,36.298332954156926,39.26977976009505,41.55466822967303,47.57379095589091,46.77487999941864,43.20042150242333,47.01242886203256,48.89995026607721,50.941708421954736,51.37924215008595,55.15660305097394,53.786680915347254,50.95710549081174,55.591450007301184,56.11356529928764,57.11560193615029,56.246749358797636,51.53339417743966,52.93537323825667,55.88246232999859,52.32713476901472,49.19049114690379,53.278652030601165,54.59814909014922,49.172157618952376,47.03400903793859,43.37626132911102,45.06226897250946,45.49780666320563,42.2517933852868,37.7357088590251,34.22502574206094,31.808003444222816,27.670350005603346,27.62616337033655,26.99832122125347,27.71375195884672,32.50852304540438,31.76609697655291,36.03154898017948,38.4836110742327,39.14025395775012,41.08270318579881,44.509794394802675,44.23962853994445,46.859083024166374,44.937694220813306,48.33085930904969,46.74517301190301,42.6759802105591,42.27332333114416,40.497855325739536,38.60993548959419,37.418360191184654,34.05121121532233,33.336494794291454,29.673318516376458,27.78890440563573,25.518664297707005,22.178334863101373,20.899949034793423,25.05210102480968,25.191833173271636,26.61332611247648,30.767680535389548,33.85716697880108,36.46280277578269,38.510365276906214,44.089640814450924,42.10752480978883,45.92781290069891,47.66019338367052,44.95206926356898,42.29054851468108,38.820448278103314,37.55060111844101,33.03966496844102,34.5082528407474,30.93941826563494,33.09052366420877,33.06616627258745,35.64154627379617,34.85308624116094,31.22389195707647,29.791339711303504,28.25476502144486,31.091704333302687,30.942216918357314,30.32768238930266,35.42535947419388,35.926250248767374,39.02360432898771,42.25401003707974,44.71988206750533,47.75439418113446,51.064992319781304,51.537246121683566,49.46225357590761,47.68868045667139,43.33399716240275,45.0087825061805,41.91413616073436,39.86469665550611,39.972091967205394,41.126172568822724,43.74591480707233,40.3590502176995,39.26966614785538,40.72419935593691,36.95242485683091,36.04978309426292,33.89053195012622,34.71124205601247,31.133614559956822,32.96065869541758,28.504000445291705,31.0945104553091,27.045324325703394,25.588242999968838,28.928636972769574,28.886926187145047,32.93925461598864,32.63076049707405,37.25591637276742,39.336822168153375,38.87418803488381,41.09076360111664,43.791324266683446,47.44740390169336,47.47107780935087,50.749377196208926,53.427162566588734,52.17849510716852,48.19533385582931,47.8585296376728,44.421922563829845,45.45499860783623,44.664539972474756,42.981408938557124,42.220455620694295,38.14932382353887,42.44677249095084,44.51271930322007,46.45068742648241,47.915247391791084,45.26498062552705,50.955806144708404,54.08271962892297,51.5980465924859,52.06362153755872,49.22541467714099,54.649063002162066,52.4897646499021,56.644558057131555,58.65282498811068,55.13660657755825,56.2859680326545,54.86099156128034,55.62646165876445,56.962298438070455,52.87646543012804,53.837515594746876,52.136482077681556,48.87172853772286,51.6017623762236,47.99577592640705,45.34378191390947,48.448900289348934,49.15738416158307,44.35134303241715,44.937600971866814,47.961466323264176,46.24367904878083,42.097052056858544,44.60558436863971,45.84990115624892,41.33095410831441,41.001687103165764,45.374692452549574,46.81488359894527,49.60423569894576,53.29636857130443,52.358602046334646,53.90798609631488,58.82733591144374,61.155012102586156,63.34957925854803,61.78402495845155,61.068312555072964,62.167655700461786,58.81442024645808,63.67305187706355,64.0971495654218,58.67536024393487,60.634547263615104,65.13231411940934,62.119692469632255,59.54623547079997,62.739976782306826,64.21812000804857,60.256896999860395,58.27101697718708,55.08788323616121,54.27666085511244,56.75743873724421,54.98750927664902,54.49768185496434,55.26293130467134,51.415175048449576,50.55369982456473,51.446999112207536,48.956460225916885,45.56364182847809,46.85445989122568,46.23453533524504,43.106647175134334,43.265284364206465,47.514126168465666,45.593189070480825,41.84146036931452,46.00421234276588,49.36578638671755,50.47314396653834,52.818911802787156,52.14133069197474,56.61369673234852,55.95348394961495,51.70802616534022,55.3961693346876,57.99502194277498,55.49832218437393,54.675591436822536,60.53385975531455,60.42235426186833,55.78698885173158,57.8632240997109,62.897034247641855,60.22070407169927,58.0662716731146,53.925716858109396,58.65874315425235,55.92663958545468,54.13857094757458,49.598842046617364,48.027695202927205,43.250858548881396,45.085970254643236,46.951226095420964,50.64581433408661,50.35409849031337,50.14245378740859,45.2437484277056,46.52571361882728,41.691023607808305,40.45900246328024,40.44025524411704,40.88776544518767,36.79478026599397,36.623639308891214,37.92374058702133,35.30927595472505,31.96126926357324,33.67295228342609,35.58936256341474,34.241383288513056,35.176308952594326,36.44913895064997,35.7388418935603],[34.38036912466371,35.09455536917163,36.75410685296575,33.71533102844208,35.703320239445446,30.07522375400864,28.68366075108479,27.893222298164936,23.221335167309963,23.01333538575867,20.19835663632543,21.3630064254288,24.766004088242596,21.623288039428058,21.57211744517545,24.81949577695938,26.792586938436955,28.26286809740052,30.978129774804348,34.28501320058342,36.84592170635442,41.17158499533383,41.47263796659405,43.023599843146485,41.0883362346164,36.87877923969998,36.58033374499985,32.83293774340261,31.09257203496444,30.054842494703916,26.628932710195965,28.867053301915842,28.431828703202523,31.3579480418147,32.66269895615786,32.69074200312957,34.33496919302345,36.79020716370552,38.98535294047399,45.111851208215704,43.98484993334127,40.373910820959544,44.27451750078474,45.991064084627304,47.84001826045065,48.19272887040327,51.98012985086009,50.81639643977828,48.00546419503103,52.71370660010176,53.366798778248175,54.52784772850242,53.744227985550154,48.98972720038814,50.66455934680637,53.39704389322501,49.66549782733436,46.77690678740734,50.91334963900171,51.93183096951471,46.48790142833316,44.515352492352875,40.99753525719703,42.39136501819158,42.70260051689725,39.59164900782945,34.81136361918205,31.464749460031367,28.68069453029481,24.690078028466523,24.352342432420976,23.63245728526755,24.73316781022011,29.51349959236304,29.169293444504575,33.68067204437233,36.1058823175094,37.14146684240772,39.00656322537501,42.32345712127129,42.26361233264949,44.72073994550516,43.12108541854243,46.357133295301466,44.530566406092994,40.53941690796094,39.95179794848729,38.58239605795883,36.34186305390557,35.60068560907998,31.970129065170603,31.345618160931046,27.74272167333274,26.149048427414243,23.664488361312586,20.471558965161233,18.928240380772337,23.71923826625434,24.03485454870337,26.21351911071224,29.718580256356027,33.070261853458234,35.20051321118431,37.374920962439106,42.7232560539819,40.70547361254987,44.716122189351395,46.27917380081241,43.63910458892743,41.10812343041577,37.49928991252909,35.85254516464624,31.28290015012641,32.31389427997958,28.483197517058976,30.334622049909143,30.141467878549804,32.4821259036439,31.520139353000626,28.12743328513501,26.568945218380684,25.244564498671576,28.048358785354367,28.218777958732197,27.997035996210855,33.1340841566329,34.222667739812664,37.14622603028276,40.550155380199016,43.021100003661104,45.96583770035088,49.405997378576764,49.59094578309375,47.68342260810935,45.60386959676498,41.18214139344658,42.84066481906838,39.46202441198001,37.16851694254426,37.21357946449947,38.005728384510824,40.55897654887378,37.251027104724486,36.35963532348071,37.9231288959153,34.352137668818486,33.46294186418366,31.65541117654079,32.799066795320456,29.447528322227424,31.7570139628315,27.619799344728904,30.728910933745247,27.229128579970354,25.44746687392614,28.372335785633688,27.771383356751766,31.840233239937483,31.08555242524567,35.68675899009549,37.25477805198299,36.61886348183772,38.504623181193686,41.32053271940149,44.89924496798176,44.709800739547134,48.19030131738575,50.71539284078253,49.62357274421148,45.575253996392505,45.41204992950226,41.92536119186978,43.11636353811144,42.489110937392255,40.939105889972524,40.5065715237136,36.37942769993379,40.944721985889814,42.62742474377528,44.72099687178439,45.82751879969662,43.45847598621191,49.03947145206994,52.03263074113299,49.384338412521956,49.67606643616109,46.6793235389756,52.02120502434059,49.70832315209752,53.94152498003723,56.032536861731295,52.63983928086584,53.90372723055011,52.6130675934253,53.55062565490598,55.0296518797408,50.9922809069018,52.214225449227044,50.651219282355086,47.5521554485912,50.55163951779601,47.13025264737709,44.25626914688702,47.377757684195274,48.42638197956203,43.629126800149244,43.86957790349826,47.201079218267225,45.89235042021642,41.499561132579785,43.98307239788174,45.54894868369634,41.12469297740729,40.500905776854474,44.997834363174874,46.15917353162479,49.36560955523276,52.52827611303577,51.68839608846067,53.51520229947736,58.38947445431411,60.982405882485146,63.01991555299115,61.53934908618463,60.64036712920499,61.74101361786254,58.27712516202757,63.030556161665956,63.42489356917226,57.811770562061625,59.72584698703279,64.13823100346526,61.023981314916185,58.33937459165831,61.408265520843926,62.84239909891911,58.88283419764237,56.67503236154239,53.750730706074954,53.03149505339705,55.70145881386394,54.22438377449704,53.87639526405949,54.97910889749598,51.00709352099166,49.91992585495295,51.206743775016335,48.87655263438474,45.19926256585951,46.518529876751536,46.292319277565255,43.22902666374362,43.13758612921621,47.60832551226306,45.96641424327085,42.12830180979978,46.1216925983163,49.63047767892201,50.46177920535462,52.785458130968756,51.891156042704914,56.345434828137726,55.75628063261222,51.23617300948176,54.80395580635029,57.43267551257303,54.87992223743184,53.76977421853458,59.69039443833883,59.59222449464694,54.755497825918134,56.66372509096103,61.78976041542978,59.07031886489583,56.711606563994664,52.62350213351008,57.30951823215778,54.60946993053636,53.12285439344613,48.39697904197346,46.96010736907414,42.188094338337095,43.73149528211591,45.48982827766779,49.08538760099191,48.730525150840506,48.76928833509497,43.738338862374576,45.04684865386616,40.07769687538679,39.259476877692784,39.525571009462375,40.325900792894764,36.225255955068235,35.68569808703848,37.352314062664014,35.07742149305705,31.231908853296762,32.968818405745125,35.369368366787015,34.408038088329455,35.55933674875199,36.84784587218904,36.223017662059405],[30.796978671895477,31.20104396990134,32.52613573766514,29.398081437965686,31.107568795717533,25.576615618751987,24.01030336991223,23.314774498671536,18.574405223410256,18.287965278712672,15.59412586908088,17.05007750475604,20.300285599580036,17.10735769362841,17.552387510763438,20.820617306362976,22.603466773436118,24.52318478281207,27.482094481650325,30.702254463029174,33.54668222745401,37.88848977714124,38.312693702307584,39.68947536304895,37.48410361094237,33.24622674039227,32.645697942524016,28.734938064385695,27.089606412967562,26.01426205147133,23.28172987826273,25.22040784193598,25.351762280668915,28.551446405897604,29.344624755747873,29.160186904807027,30.502416834737346,32.87979222461227,34.90228115109193,41.07645209768462,39.94367661141921,36.65001820705457,40.6677646892962,42.253525301358444,44.22939315554266,44.42604921815736,48.266243872240814,47.06415651017373,44.01164674088436,48.628480856239676,49.44966441832978,50.52356561801594,49.91360691844847,45.06945228938353,46.9912027882992,49.8589503642642,46.120756027162,43.37228273290425,47.690097041454806,48.690059517652266,43.34729859523956,41.72850290517534,38.318067478173916,39.91663338513338,39.8415388991513,36.4999109750658,31.91087017987394,28.38677582195021,25.648046816759177,21.586600222948505,21.329288843561994,21.28889882141265,22.336485565145505,27.165746973441152,26.54494274875433,31.570793569193405,33.3971225752221,34.69957377323256,36.129377456786756,39.20653310372762,38.84219021836454,40.991897273465895,39.27044012893792,42.296429400443344,40.3610807793558,36.52804467199883,36.23514064398783,35.02251952267143,33.019406659704636,32.768574865388295,29.229665650825904,29.250900292167934,25.463220083653113,23.647918521555894,20.534007204845892,17.76847882897617,15.449464677461734,20.341242391650937,20.287410304489516,22.73254635398833,26.011018684673143,29.1127682446138,31.178085494433496,33.10163595904068,38.34805530321712,36.16530504186247,40.20879466102414,41.65629171475977,39.003896160865224,36.54864178655656,32.86860063234168,31.159808356097948,26.565885627221167,27.58120295686333,23.83494613815379,25.763053034704917,25.793394598536064,28.248023373288486,27.760848936696657,24.20258517809815,22.524475674636125,20.891948643486497,23.63043641419582,23.5960602055241,23.26461006719071,28.395605934090078,29.511807833487346,32.39768678377173,35.8216501965802,38.32778216863697,41.22477193343589,44.694093073053395,44.863707605965196,43.02718642349182,40.87710070141422,36.448772532482394,38.09881834166062,34.75788370592985,32.54855350126436,32.63460295791858,33.66785483754221,36.35929041101745,33.073389179839054,31.981165567955905,33.61865726405703,30.03602445975905,28.979841534532568,27.12200371165742,28.202047191612508,24.821324410680624,27.252402787423694,23.28654048899282,26.74001318697909,23.63905839667299,21.808170907222852,24.481420961493672,23.576962620145217,27.54501919250406,26.784270721905887,31.18402759426943,32.658616721881124,32.23272379665099,34.0020768411809,36.94052057015621,40.378608055410226,40.16632885786417,43.560151454736385,46.11899460122693,44.95356486266856,40.926002856841585,40.714857718392224,37.25754085714446,38.50591839055958,37.95691589425779,36.533597579832964,36.18287832444751,32.179506328393245,36.92039625305493,38.442465444895014,40.45714701062642,41.388008086181124,38.911132961295536,44.47266231476165,47.456017481563116,44.79797177260862,45.269862754962716,42.38578231166098,47.764199362746375,45.33679162945666,49.53755488324538,51.52885349628307,48.089557721349465,49.249381776662084,47.905895760897366,48.81873166093011,50.28132287379458,46.243141155373685,47.49576405202563,45.97999781880192,42.90948594478014,46.0098191593191,42.65957232019929,39.7084980560485,42.884880992888704,44.06680939255814,39.29608507244173,39.48669591465658,42.940586973778224,41.80388404179121,37.3852065936714,39.93705445616238,41.67056589084749,37.3183144059155,36.67280007999413,41.286259519489235,42.248073248642115,45.62949732754562,48.51800039163457,47.58635606839457,49.54425474576145,54.31940879354909,57.10843140902887,58.96224068907192,57.45402096008818,56.41604449167587,57.47887233616289,53.94573694037738,58.63635771523618,59.04221103968914,53.349853314339555,55.2164589150636,59.601988475763356,56.4795161465881,53.73726659561082,56.755883616703876,58.21727059154389,54.28491854663146,51.973736873720256,49.12769420464526,48.40231186899642,51.13350586259,49.78308494195367,49.508790520367576,50.798622696369,46.779198436775076,45.55035705984177,47.05846145468031,44.84317648650218,40.99372421482028,42.33900162417708,42.37433280964472,39.37615761322027,39.150996923312256,43.76060579127353,42.34525690313185,38.51771039675221,42.403040627340886,45.984139897724624,46.61070746433389,48.84454666973187,47.77191840265378,52.20557237340356,51.73053522256655,47.06663213746814,50.50553709671364,53.20105042300039,50.67465112521781,49.37629749769111,55.30935223317041,55.3187799394846,50.418665873063524,52.183051146960636,57.378535188308646,54.75793989900245,52.309195551635966,48.29286439227853,53.06242591267742,50.49129167878668,49.12176027618652,44.309169320351295,42.76267348653213,38.02060106972137,39.59797878253984,41.19199840252334,44.75300160781507,44.25635675142017,44.26994671753722,39.15395078711684,40.39120695636215,35.3945328739123,34.7310830059107,35.04969895630748,36.0308425123698,31.935872092699405,31.228780490255463,33.13580734748907,31.04607331523322,26.91228881518993,28.802890369974513,31.490425524183728,30.849392677492766,32.14273275580544,33.43139077961853,32.911939790119774],[33.60403783015052,33.7710584252287,34.651143934442906,31.55219402487689,32.61908716524428,27.228905941295572,25.152967151804646,24.049299585981196,19.417227420309928,18.489732175330765,15.307307345758634,16.455885354196063,19.47283948389657,16.497144361880082,15.834642542314185,19.05301842646167,21.214110480233,22.525008303617387,25.508764475437875,28.591670023342225,31.28788801048763,35.533471512274225,36.05146595863842,37.687344617311396,35.643774474280555,31.517613761706095,31.07283903840415,27.355309516664942,25.368202624720784,24.284487265149433,20.713726372313978,23.08485329561651,22.73648744882771,25.60643844975481,26.78946494906271,26.779002829179014,28.493955696463804,30.98242391053592,33.285070027411756,39.34568420929129,38.3821026685933,34.67881612173625,38.51226790545381,40.359475061785574,42.36829123941256,42.876371115061744,46.63170116956732,45.24484605620059,42.517611664941356,47.208948320216656,47.67480650844783,48.79301148738384,47.920018323348955,43.204743897219274,44.76983579034461,47.53813834211713,43.86732827880282,40.89938935260908,45.052998231955655,46.16745707140531,40.74650380979706,38.81350908321217,35.28793360097266,36.89061788355555,37.097910249720414,33.83964159035063,29.264032235443683,25.75155449093607,23.2676161092079,19.11123161760156,19.12672230649372,18.823209113018258,19.427298344158878,24.266571473457464,23.52514368596054,28.232541871097897,30.373831980308818,31.47161972444723,33.18104794237725,36.448600516778335,36.35560965578895,38.825885462276325,37.30512457179324,40.59062597023112,38.806525960120055,34.73217029489029,34.06414302634339,32.68969923726153,30.439381608540163,29.797835526571085,26.17695425613624,25.834911429606894,22.125895655453444,20.476869259738415,17.807097712412673,14.73573557867707,13.086354305411328,18.115422119932884,18.713610314888484,21.560360089929862,24.368096396407424,28.155173995717103,29.809170069501754,32.37138686614046,37.579010571836804,35.89066667928279,40.045780779400026,41.76872162119044,39.485120418741296,36.78037495382492,33.43824612264412,31.309449754828886,26.90973756917225,27.717699793629595,23.60979088098165,25.608348396815114,25.05057931838271,27.69907128915533,26.491858779616308,22.795956896168086,21.61481296797721,20.38475954990815,23.74236751343501,23.97142905223277,23.98775286255308,28.982058814203107,30.451389446117624,32.943010803142684,36.3560392799022,38.40109974358359,41.69603771822217,44.95101201879881,44.91789323622269,42.78476135876842,40.8937149133407,36.55216341808333,38.72756095545414,35.16650889536807,32.940948542124005,32.55690614612668,33.5240929881611,35.748126831354774,32.18081575918855,31.287599154656334,32.570184894270255,28.863923607484207,28.216457177631252,26.38536175261914,27.73744198650836,24.70814778352146,27.318536529936885,23.452928206512173,26.721776664011976,24.03230162676354,21.493861980777076,23.843721969908216,22.8419130352247,27.01210251080571,25.786472819936712,30.642432563464478,32.09806143960575,31.105237932974156,33.28274342947285,35.832859036159945,39.677908254683736,39.83948045867892,43.3240177099831,46.03318414587322,45.179026295008704,41.145755730607064,40.82110881598086,37.17431759019426,37.993932263366,37.170197477310865,35.450882767142204,35.046713544448785,30.79356004190103,35.34785600952797,36.962941118128484,39.176042475895166,40.3630917459614,38.27099080258646,43.818523951792955,46.789129278629346,44.160779595193134,44.18376123511034,41.12203330623233,46.46598289528718,44.43795116314164,48.6287941148959,50.83891773850034,47.44180191105633,48.948134886002116,47.82777510924721,48.87369755771059,50.58540268630694,46.78697979828458,48.14126764916652,46.9484633735148,43.73823564482072,47.07265185983511,43.647319846458444,40.77901729400018,44.28731417816842,45.48641469694597,40.79513799202656,41.272646761683106,44.772324852397034,43.55689834713638,39.41129939517111,42.14148009335503,43.905200083907495,39.579479741408655,39.166498408456754,43.86766741411317,44.7061525554407,48.06880216860983,50.87081257596459,49.71446153526805,51.69410251022164,56.29738192464439,59.22112717236426,60.83469103491484,59.08087025528207,57.85318966042762,58.67480858328147,54.94897510676596,59.56059810303407,60.244940210885446,54.536019842274754,56.10619414355303,60.60633339156978,57.669462367076086,54.742956824723784,57.5695711694003,59.34699013381222,55.5571872357073,52.834791264214275,50.2260229640499,49.05566745524904,51.81909375048089,50.66286474111242,50.12104436287151,51.476878271705615,47.244006409442235,46.28164852030501,48.04583417272755,45.61249685901002,41.81561075943963,43.55318082965421,43.64069777455155,40.69777556171023,40.73596132785069,45.37083623019222,44.02280462557806,40.42978695960322,44.40870618357373,47.923866512606914,48.50917303270101,50.48433314811313,49.169404034739365,53.594802585426045,53.4541074000209,48.78499284764653,51.94929323617985,54.87467056604279,52.50596135505837,50.96429214589989,56.86544676678127,57.186354710249,52.28334367708762,53.761944041365346,59.089768449792984,56.72708559064078,54.161877766893596,50.28826452080723,55.193381067652055,52.821607434376595,51.573225050058134,46.693823027605895,44.94799159964985,40.27032069297094,41.953900411264065,43.297667130194306,46.78617394636318,46.01570139903441,45.91066438119241,40.60220434132104,41.4727852759676,36.45140078035698,36.14002861267931,36.05768441145945,37.18350556849124,32.83457441487494,32.45693017927192,34.777627099550685,32.568487400177176,28.303040405135143,30.80619471413906,33.57069850635966,33.047712649488346,34.29704789962447,35.515469907714206,34.93693852498983],[30.434238040875336,30.292333729909437,30.80396582659306,27.694210991981056,28.41582507863911,23.15021351867668,20.868622270154845,19.8071184654011,15.148624028762423,14.090813819198454,10.960451455157434,12.436296292611612,15.313860121261076,12.33787949118722,12.258404586229899,15.502655133476356,17.50196464816969,19.42638727075297,22.773024919876995,25.700702551788062,28.759376548738157,32.99856347032726,33.68283344417851,35.11353567143135,32.744138972780895,28.59989175669539,27.757052099615954,23.824504579671874,21.907067399958624,20.71044884024461,18.056377345512136,19.95742692937785,20.31674771832231,23.54624821807399,24.099844911628093,23.872590060232255,25.171970079289743,27.63368364456012,29.736224397949666,35.85225032400079,34.918483930194405,31.601944005179757,35.56344720641254,37.272802680864935,39.446704043001624,39.77556229517501,43.58807452426173,42.14281792351137,39.12765891971974,43.707929760402365,44.360216544258236,45.36000103027323,44.68253139153446,39.862145191296364,41.69116298495322,44.64148960970447,40.98228282378868,38.156379575024026,42.512243401948396,43.634600871239606,38.34202193861521,36.81384092618239,33.41816341695469,35.27956343815968,35.04549398125049,31.513576740226302,27.222533657366,23.495220926679785,21.140146860512097,16.922986768017388,17.097809187351494,17.69324960708105,18.161445630349323,22.96509847096153,21.843655374580784,27.095810621965153,28.497234500929938,29.865751247333947,31.050088507707635,34.031081316958016,33.546183437973035,35.664140229088886,33.954431381263,37.01161124083377,35.121788158180784,31.22180035200504,30.936708431407045,29.705293423584543,27.79370627467382,27.70574487865712,24.257104708089887,24.708207890657413,20.82153063185772,18.87748705277188,15.420494094678208,12.996370459014837,10.25042982743258,15.319064014259727,15.403323466718206,18.538446665939517,21.0960709038049,24.54987607731985,26.17168562031212,28.42247878595459,33.54064588774101,31.662858707230235,35.84417567268715,37.45351731442089,35.149677012600336,32.514720763452665,29.113470469039576,26.93631448372792,22.51672775904741,23.348243615932795,19.347376744162737,21.503798128593765,21.22504920879131,24.063292073136285,23.460638793664135,19.52393707509072,18.234697323631092,16.582697097028774,19.906395851317285,19.839842959962738,19.68873688699726,24.648818283306976,26.09666432107472,28.541248471741188,31.957192241349123,34.03557384418292,37.29248679741862,40.567189011627086,40.549033790442024,38.47639194739967,36.5371455463645,32.19068172507317,34.370319601047804,30.88471009866391,28.791808051341462,28.45034699547714,29.754836117760753,32.14181340682959,28.592640806925125,27.430333186042766,28.784485909436427,25.025091584828665,24.17468854897881,22.222530430206366,23.469843685444832,20.382938734649127,23.111436790004383,19.439301903573277,23.069763349065045,20.86237115248894,18.28363083470528,20.315985932831932,18.969939418783458,23.027120438145268,21.821391870728135,26.46041653753258,27.86718643896419,27.140534530999332,29.232277372675412,31.918301038135915,35.61372025663606,35.774486356881724,39.13744855681229,41.90454415128984,40.946039818182534,36.944084979022605,36.541841895874555,32.930730386145044,33.79563829474445,33.041635074957306,31.452504715641027,31.106500408260892,26.996115102535686,31.746266229490026,33.21561036364443,35.31947543828669,36.3420640091571,34.08383037791849,39.633978186624056,42.613619621057936,39.9883671379841,40.24622682493621,37.33131081312126,42.736991988725045,40.58576810981968,44.73351475430641,46.81931346932139,43.3497063817604,44.72060316819203,43.52133613717301,44.519346886931594,46.19328230940884,42.386015208702624,43.74489035331731,42.58915963044254,39.39576287214161,42.80991198555499,39.450402902026795,36.52565947476971,40.087561749607374,41.39411793618537,36.74889348408733,37.20887941872231,40.79404750312196,39.72962574101805,35.60744361259614,38.39735338646502,40.29620932579091,36.07090078150126,35.669929641868144,40.44153810880634,41.09208986547382,44.576542652434526,47.12891653811133,45.87346975162975,47.95481576014262,52.443344709466054,55.53204091183322,56.97317553347782,55.19366053879064,53.84451316699959,54.63087121162967,50.852246588679975,55.4034951131359,56.09551154458277,50.32836545122534,51.85627457862197,56.32980389911584,53.39255363690809,50.42214616880869,53.20977776362249,55.01218530596516,51.251977459212505,48.45094803019568,45.89968696896538,44.717558405310946,47.52679549286292,46.47759202808904,46.00713886696518,47.529916474770474,43.26685317103813,42.16968741307172,44.1315822776608,41.81738426997639,37.867879165894685,39.6258531357616,39.96069237249433,37.09617934276895,37.01233763755521,41.75129291701044,40.62560521795009,37.076184291036746,40.926502920840875,44.48430905951297,44.87770878115504,46.75486705092676,45.278201249437494,49.671115711199164,49.63844358087279,44.859406613889135,47.89148185318489,50.87360382051864,48.54292580665125,46.836361265629066,52.731493673444405,53.15716159966721,48.22189025126167,49.56329955811107,54.94110853943609,52.68786884168012,50.05822715131448,46.267941900351715,51.24675250461941,49.013654900962365,47.85984206690959,42.935475925829095,41.069433760521825,36.4541796315833,38.19401260028716,39.36125618444068,42.80516643495834,41.89041288891808,41.73192743248035,36.35932067596224,37.13850220035444,32.110299081092876,31.942764774153744,31.878475118194395,33.17335834957383,28.84478495503497,28.32361465406658,30.88285223245266,28.86178164545286,24.345087745076267,27.032375436839096,30.040268650034896,29.838127894474876,31.20890731205184,32.40888492530182,31.938256325911347],[31.1124319246381,31.12326466643366,32.205604024951825,28.355896821472925,29.960097447124763,25.158965711424337,23.276392155003865,23.306898063194105,18.404125868283877,17.165697378178077,14.895313579061986,17.446574307237473,19.371723516408085,15.339330944246814,16.415981688250515,19.860457525173054,20.657829168958266,22.402524222661988,24.632032741092,28.296314575706287,30.845358752292263,35.34565181330036,35.370445374553015,36.54176573313738,34.49318074993865,30.15458818086733,29.928700338622463,26.172826551061064,25.14397739022566,24.8289737154601,22.305318469584705,24.96136520857764,25.62183667055492,28.39871404689658,28.795896544685,27.908355311437816,29.609286989561337,31.06599504918114,32.858320276911506,39.16470077479569,37.46561490135878,34.21016390370337,38.371494186219,39.61591893384222,41.24651790056814,41.2419021584386,45.104139590155285,44.286465684952304,41.22367972138984,45.93119486859873,47.022730362063115,48.34006270789511,47.90804292581908,43.01301259303065,45.40336358722838,47.92505167196792,43.922973389064396,41.62554670647647,45.99925136273536,46.50038123194062,41.17829067954161,39.87776502819242,36.745311601241255,37.84367980476573,37.536617299340335,34.44909559572123,29.467095497098217,26.290196014691322,22.88823470954017,19.2209823238959,18.335057551076222,18.209808450234334,20.051737000000934,24.723543763486198,24.838343767453903,30.18709328233881,31.904047002491588,33.80077187898571,35.062048086875095,37.90060649209946,37.83981742092853,39.667151974138605,38.44226345927713,41.14565520151816,38.82828496076129,35.20948899462185,34.679016738249764,34.15795146005015,31.65987867728877,32.17030787455758,28.31406393734572,28.507292543863855,24.93714925896584,23.638126830100898,20.287859671729187,17.990671852975186,15.307422112794523,20.878700383337485,21.013552356061798,24.35231235409201,26.62269176265674,29.894988014235743,31.26444307461861,33.22456792158215,38.0248444017122,35.735522111484855,39.97190364422407,41.08882921565065,38.50040588617152,36.34109798911973,32.455924223413966,30.28160859275148,25.67124374907288,25.946469238435053,21.90093620536152,23.19903992412546,23.046888310246008,24.97631549874713,24.333653785547646,21.30126013509288,19.271584206335532,17.996468427356103,20.463604383752454,21.003074464484968,21.352069651783733,26.46089927413815,28.478669693983825,31.1062103457832,34.75133770552541,37.328325187009,39.95356681017463,43.63181230292791,43.39802315076285,41.90655346621209,39.24042421750774,34.73618307170632,36.213004101724046,32.483773895172185,29.870753248197673,29.95850148604045,30.339362102688415,33.00707022618197,29.946195506961658,29.1788202444903,31.074334303982788,27.918417541980865,26.81699905958959,25.618797670823973,27.172224255579106,24.206800708612146,27.29526847846771,23.968722104527345,28.047525024086543,25.744331501007224,23.708650239799812,25.724309175148438,24.056020194692877,27.851950839817977,26.50333942413814,30.654369885235763,31.26505725541768,30.668256774788766,31.761985440244736,34.94398129733453,38.136456724661386,37.48391907935034,41.17749054350361,43.4324625989433,42.4626680194349,38.352904093023646,38.464030029693376,34.997139858947754,36.592808820345894,36.375417989581884,35.244144911735376,35.43011402988499,31.45916055648247,36.548489250599935,37.44328333448653,39.63777576908229,39.952859174867946,37.87984712911275,43.20430260803744,45.95306884176459,43.05377022360405,43.329367796931464,40.242254828099114,45.45757225336048,42.713120886977606,47.02362426559243,49.09514485988272,45.86783521346268,47.131986489801555,45.964361628172036,47.11439479070143,48.7326777093934,44.74888004393595,46.36839643177474,45.00075469261509,42.254602465240296,45.65494749540972,42.63948101281407,39.392447497146655,42.456615402680725,44.10933603663045,39.41257436361916,39.013933682637024,42.846373996282814,42.32571642496879,37.57267659372609,39.982070412770064,42.12313231067743,37.98144466974419,36.8667597778262,41.528404739180374,42.12188712240929,46.03471114460015,48.17290569271596,47.46406757340439,49.77583760943987,54.48454575660156,57.562656922628115,59.25766938035446,57.94720224517687,56.72336432373913,57.83803159850273,54.236363523523494,58.75653380886801,59.04977135840293,53.14734469183825,55.00408042597595,59.20222926972225,55.91442814339189,53.08241392929388,55.939715872259,57.24613085565862,53.310674899174636,50.792892457680296,48.30350810387081,47.830343764230136,50.799120923333284,49.83614086060434,49.82319492409473,51.541584958007526,47.45279016286575,45.8743909688953,47.83902290586102,45.9188672801026,41.743470657707874,43.011726186608485,43.55826498922278,40.688151000247224,40.072293827351565,44.881489057456065,43.82961961605017,39.90535738132039,43.46907334519896,47.198284374389225,47.46956799139007,49.71323924775603,48.42997127066419,52.78499839908132,52.32281355984778,47.34790960166396,50.64903046523312,53.29329900370336,50.67377505043694,49.05159331697186,55.01862673892058,54.95938043856247,49.82173987278958,51.40319817748416,56.64790120157139,53.91233290137834,51.219272755552325,47.27973409845712,51.88650252207193,49.32456460195651,48.37823944398322,43.3726530918313,42.11557222889955,37.44291549448453,38.5096947175904,39.9934628495932,43.374974661025206,42.86902135988833,43.30328531264849,38.111515293315705,39.467179267649975,34.34981040889572,34.25783645247255,35.09874667975964,36.53195149793053,32.59495133984634,31.28858089429442,33.572534602254635,32.052865411287385,27.390732636813624,29.083230252688328,32.34640106698491,32.21144442370821,33.76211924785041,35.04713927436436,34.65205239226085],[29.739649383058225,29.395874631507116,30.209717239672624,25.926770724609334,27.39581068160884,23.18475932512937,21.141761038525026,21.76973032585485,16.912311423410994,15.152773891589751,13.515431546318087,16.8320971142106,17.760383270726074,13.266902099339351,15.283859358260646,18.67083395160622,18.605671345580973,20.59009339793375,22.445878849544677,26.285727004630324,28.81286406823849,33.372299420508284,33.2205387343029,34.10769514780327,31.98130899517604,27.589672818010136,27.38173646148406,23.637594069776046,23.150226328703415,23.290658253249354,21.52682856423948,24.251797644014857,25.554238697221543,28.22577108580166,28.070213478674326,26.66503659356162,28.296185145522298,29.1268500907912,30.604899628747216,36.96952285696618,34.91956238092827,31.982303637330812,36.28516526269815,37.19872895681651,38.68431485843662,38.412826576662596,42.314231791202964,41.73363411543137,38.48409503407993,43.152630056994724,44.552949984669546,45.94318646725406,45.756037353174214,40.79223758149206,43.6242285989985,46.02953076302005,41.895222582034116,39.98290047437903,44.47531454205288,44.67315465827909,39.47626673488529,38.60984284209387,35.743964795698346,36.66936740590651,35.97961122665962,32.93080658987365,27.916976823261184,24.90623001896522,21.17950951476044,17.871160735386134,16.617362951353055,16.951382651442845,19.231891997693936,23.66045652126005,24.048393101784644,29.762552339354595,31.010221700327794,33.361183971536825,34.23703112656186,36.74572965366379,36.63921155513596,38.04571746994799,37.00809303300966,39.343847593967375,36.74549309770304,33.4227426024538,32.997223966754305,32.98468460346015,30.429733400675275,31.672083138777406,27.796820662373705,28.472325848660006,25.009931600738717,23.878807003599842,20.152001121327764,18.501206376862775,15.30465562468485,20.922113815766043,20.856090777847434,24.5963125870789,26.22308516004431,29.25818791862516,30.251922066711767,31.951270503258918,36.382842802748755,33.883915692817695,38.17777553978396,38.984065962941784,36.385503999446115,34.50870063758317,30.459250715974683,28.08068319577841,23.497875373183,23.31636099710091,19.277389426958973,20.142236553110326,20.143299802588647,21.71405103677875,21.451101759554632,18.75771097299647,16.326227690748432,15.032000781272421,17.046364353646233,17.806329799547598,18.49923076897285,23.527551150626113,26.05114517822556,28.52959634762699,32.28057367500083,34.97751697937012,37.31892509731242,41.14754373443185,40.710037939989306,39.52317187776795,36.486721233293395,31.951794220481837,33.20481115531898,29.322932895600367,26.520555886340482,26.73111262492343,26.845873522978547,29.671801011563993,26.847500603945928,26.129408030541367,28.2898460246134,25.461683983293725,24.162286726079213,23.376370662001197,25.106253062631176,22.390170577880102,25.834260836569932,23.06192416978299,27.57145315169047,25.89484448571154,23.91590203452049,25.43500237401658,23.257942959176695,26.750952731250482,25.175348632146985,28.89281592216157,28.9236350363551,28.462191096962567,28.975768728995046,32.4240575302734,35.282845726106814,34.27939151044685,38.068892699046685,40.12369277507342,39.1727121281518,35.041933272671166,35.344153900086454,31.946622849089124,33.860328450638875,33.9406012650296,33.121109884059564,33.67126360031449,29.893747637422354,35.228318395864825,35.65708966638827,37.849702477008506,37.66753127495947,35.71748679412482,40.85089685073475,43.44443246430917,40.412954732775646,40.757552033812,37.67025616931234,42.786182908364694,39.73086015034163,44.06952258532056,46.08242389259682,42.95672656840047,44.152601886652526,43.02110247764952,44.26503331764762,45.91123952759209,41.93452439027117,43.7555231572329,42.448902073527904,39.95026185682044,43.506722355713215,40.755944093291205,37.31789992617134,40.25873512592649,42.230077611342296,37.62369537839278,36.81475221599523,40.88244837711001,40.81300876426356,35.87058191187085,38.17480473351115,40.60050068854959,36.65986289297499,35.2482073650237,39.92292600719965,40.22213299256363,44.48447970368924,46.064979776159184,45.47631098051458,48.02849047109886,52.64776702095389,55.93715447557084,57.48738756620514,56.317478528175386,54.96333358908687,56.12158622355365,52.50217958316775,56.88658867011166,57.07565230707731,51.0536568921642,52.921234823327985,56.96295474779979,53.56371496976267,50.69795025821166,53.459613402037995,54.633960731529385,50.70146747224281,48.09737134748017,45.822505067125235,45.57019370131335,48.679449550680275,47.96803645680039,48.181365448610634,50.200481598178065,46.11965048611457,44.248144918325615,46.511477873687156,44.86122168387429,40.46095041323123,41.6194049224751,42.55816291725773,39.814840425473434,38.88571067411644,43.81073114429672,43.06350293573439,39.10529157952348,42.38320235364248,46.19815754786663,46.183446345270696,48.41107556271755,46.97710664251707,51.247216323524604,50.796042173246846,45.61923862571459,48.80074742235131,51.39437719279048,48.727816147552744,46.88215046617929,52.84426839943724,52.749256784683006,47.47658708631026,48.92091111967941,54.18068009887592,51.40071983519213,48.55658213900908,44.694663888590476,49.204433919692484,46.69506418295174,46.03474380806343,40.920412006564824,39.81592750197957,35.234435055991604,35.989800237130495,37.34988342668979,40.595387981270996,40.05858743029658,40.74281340664411,35.53581101293605,36.97729257221913,31.82736144620793,32.10304560995364,33.338450146341195,35.07850507405375,31.34446380280941,29.568936029457937,32.08686189015452,31.035145539464203,26.050764083364054,27.56233538773646,31.223013623399975,31.515711670443586,33.25801778414671,34.53273040023187,34.26745627136698],[32.94545344695802,32.29063408949746,32.90289370179123,27.986900240218244,29.32210175121258,26.184441763019937,23.9500106798035,25.25015158949816,20.64334902142175,18.04304236234728,16.988567144993198,20.808269839612205,20.346339638291674,15.467475560472803,17.616799132046317,20.823658891674945,19.610272075014564,20.8875108941126,21.35301964325675,25.707057119417403,27.525567377331726,32.156749912349085,31.350501491730178,31.99721478550987,30.31655722543635,25.9323928273761,26.492510246660316,23.281097206862952,23.66229202490184,24.83109292251239,23.06139451049531,26.630664007191626,28.171522683541856,30.115574395378097,29.74789801303392,27.636906246126024,29.8165553290528,29.44592692095975,30.648220997213674,36.96286000788193,34.178766937978345,31.201887113413385,35.51910548587354,35.994107729420705,36.873052133219765,36.399286231707734,40.23210189979251,40.24067464377066,37.18220697160219,41.9429519814253,43.60069978585333,45.35425352742076,45.31602800048364,40.42749163338938,43.70133797338628,45.52514893200506,41.10613895659496,39.77895217516368,44.16340246493529,43.68589323033395,38.56631700680201,37.98360232110582,35.516186255009345,35.63175268914082,34.81996447751559,32.33561731501314,26.843388169671563,24.580096537720625,20.06652598322073,17.714747958154245,15.534185593704473,15.332967226170672,18.707223008901902,22.53481751977008,24.097001883061676,29.723654182909957,31.057425713821296,33.97870837884529,34.81836069032751,37.06254178092364,37.51073153628463,38.62507491460333,38.32463479547268,40.30450108137365,37.335912515748326,34.30398824141938,33.408988455371116,34.211450991720234,30.983840892921638,32.910155116853346,28.744127529368633,29.306556023320137,26.357313101521903,25.987326073198364,22.530326802870768,21.293040381372144,18.401478173095832,24.201916557064116,24.531517815648247,28.856875585337946,29.518920403607297,32.79298599556979,32.99382176908161,34.84746144452505,38.674723930917736,36.24095740637968,40.64184048254839,41.10712705099451,38.693600886043555,37.165426834416465,33.07334398198778,30.224125313143965,25.899597015914345,24.77738840412574,20.571874268965367,20.391415562711792,19.92882488834394,20.4534809906499,19.611830010202713,18.12751078515766,15.422668711696891,15.147036839286589,16.519856751779407,18.311532839639284,20.036160563658058,24.610340920391856,28.19080343659582,30.198192891822185,34.06855309432932,36.70425286431602,38.689416378596725,42.65641539124475,41.694176985987944,40.92356135594529,37.349656668035344,32.8732359780703,33.89953158202438,29.57997852517717,26.25806034945457,26.39468264902481,25.321600226262127,27.894797438656376,25.507998231566628,25.46590158108595,27.855291578474144,25.789720586634495,24.62136711371962,24.825234436194954,27.111492262016146,25.106954197251547,29.052750666591475,26.999976559994906,31.7737687607795,30.726650388968732,28.58061377268093,29.545838277617225,26.841013222402076,30.063178905432494,27.875906039279847,31.26791608217288,30.264026903749652,29.444445365537383,29.088993446248946,32.655009907855415,35.18125509333562,33.60990925969396,37.786178954156824,39.35132238135645,38.77050518480966,34.61590724167509,35.38725066470404,32.05494098927623,34.32388929989271,34.789100903044215,34.295355681431566,35.46487480721606,31.78199139241558,37.26648454183872,36.98800677966752,39.4004146802984,38.53535013390369,37.2473480572836,41.95077710414414,44.18424271115118,40.90332674897398,40.84818462496789,37.48400574393354,42.23394187253065,38.87529146485061,43.30242111355338,45.46129633706691,42.71817455536816,44.11656463132476,43.29465608192682,44.85740857078256,46.71055907707281,42.908608110697095,45.164561499750505,44.08232260482769,42.019605611947625,45.841971395055154,43.50758824384206,39.84220123085932,42.58379127191008,45.01636276316812,40.59073049734556,39.1570676163778,43.52966154883456,44.08957841403458,38.91370732724433,40.98472924643117,43.75591258355299,40.102857855659636,38.23314230961283,42.80960157462314,42.74798687063445,47.47407681127246,48.24889866816937,47.95918091751228,50.835032427688304,55.33936883137817,58.857191929402276,60.26350756207971,59.32966205136328,57.81229715058565,59.013116609600885,55.368284973535516,59.51842783748922,59.59034420055356,53.4238419819671,55.247460120919946,59.03207677472685,55.491417114932084,52.5631641212038,55.08704372999508,56.06636027784532,52.18721961691959,49.369492813679415,47.57442795128385,47.60159264382563,50.925508598748024,50.65308575379403,51.113823344853714,53.52330376259634,49.42081500080162,47.265570692082385,49.941685144349165,48.57307060542074,43.96208398217939,45.040304571342986,46.41762645724482,43.83074288454013,42.580899213326646,47.58578186987587,47.15077709832226,43.16251118440992,46.10120915875497,49.9890214043002,49.6630401218467,51.88623284819626,50.28704446142068,54.41866714657904,53.96943034355547,48.56808501480337,51.56956751055891,54.057577689002606,51.321297943983176,49.175712206869356,55.080724863594334,54.88445450245479,49.42670589691229,50.65708691818982,55.882973134870426,52.97769006539686,49.89368173585571,46.1810191648472,50.37700973445292,47.88373904252092,47.733156535336924,42.510037326945735,41.823539458385156,37.43845261089341,37.529388974946386,38.76317989702441,41.70362310236504,41.20795163652841,42.416263335154355,37.270163893920554,38.818327769252775,33.691933631490734,34.61848407805888,36.36071438510477,38.49264448555255,34.99944740145201,32.73992197910196,35.521653865477376,35.008933732258356,29.760864863666438,30.994718638197554,35.01962763417534,35.69265712648555,37.595395576482446,38.830756325041435,38.63569216651572],[29.567204911098383,29.56139762412631,31.110643502583873,26.52369055470023,29.055249927747845,25.134662741300193,23.8547118033518,25.200368206946358,20.45983223250793,19.325430551597957,18.34425062179648,21.73930169686067,22.711271714552943,18.16143192690516,20.79164256907648,24.111073157390756,23.601489637836703,25.695967149607505,26.9937738510419,31.07592176054816,33.34472903459418,37.95316801942137,37.425409319074525,38.032484064500366,36.0666680670888,31.660101172505108,31.693310596106347,28.077285439167696,28.13301959795016,28.536128579641037,27.112939563785005,29.797451634550356,31.220900118250018,33.89588764284311,33.65582250507178,32.06448151730206,33.63527980111635,34.08600642380929,35.266494134074556,41.63640389530728,39.18946116031819,36.5591414574255,40.94623483613979,41.4936681091051,42.64548417858548,42.029046407815486,45.923618838268474,45.799954010678775,42.41066004917481,47.01621343479981,48.820741877764846,50.32150851080619,50.39331681542865,45.39437851913918,48.60608900074375,50.843949019607884,46.57106555439234,45.011408511718955,49.523009858615445,49.38911563213855,44.27375084972975,43.61782529734396,40.92406212346681,41.48691296439048,40.708659639916405,37.89839442770614,32.67095063482149,29.983596108539395,25.86545933014214,22.971906049804296,21.273674049535913,21.234078635140605,24.127302096735377,28.339378660037333,29.27581519073985,34.93260934061253,36.279831621410736,38.80958622648244,39.673678214447136,42.064964926021084,42.01651715821542,43.180121201967566,42.21978228745273,44.27844379019899,41.47842798243829,38.44309981993439,38.112390178008894,38.39087466328009,35.77528542421145,37.259600342683726,33.31862320466219,33.89473042827568,30.54328172590599,29.52825276280124,25.839821123406274,24.135083969257124,20.96647858481314,26.503232769638963,26.19650931613012,29.582883518038113,31.554347948298062,34.13864891949352,35.3648498870012,36.57424127912947,40.88952513947694,37.95092143516956,42.09953731993245,42.50158624666083,39.537959195947835,38.080226899430485,33.67303983202855,31.715287796607775,27.0759900195818,26.853568216104645,23.298070766020704,23.675477588568448,24.150238352264886,25.01789537883322,25.206804256800098,23.224498995514644,20.35530315385485,19.115272663291858,20.008548007130347,20.822260305363933,21.418520606273415,26.323509762402473,28.698356103376966,31.50756078751026,35.25496760925669,38.47109287318172,40.16504375661829,44.27860692956141,43.912676926809,43.22820923774206,39.73530469597498,35.17293096606561,35.61355278195846,31.90673647064932,28.937597150945333,29.75327872984286,29.38253555552246,32.60551832427538,30.361288626950646,29.750921641523952,32.32438899581135,29.938971954865416,28.33363496864349,27.8476861528585,29.426217253099605,26.586371379723857,29.855355412895495,27.139614048427127,31.709464224731324,29.624783295558103,28.312884521597216,30.123375140463633,28.08370911239386,31.331321668206368,30.091337554670577,33.30121353669959,33.086800509192926,33.057953554388874,32.88457649184726,36.70471446762474,38.9970938760698,37.34003512368105,41.14521103565281,42.7640630111022,41.586006561559266,37.49798415458052,38.16196252241502,35.07929425594638,37.607116075167866,38.106205317040995,37.672381914295016,38.41993595139007,34.89815172492915,40.342629712759674,40.550564708254385,42.62294865408012,42.0269900388205,39.9233441888732,44.8915723003593,47.35727202550338,44.232717361894046,44.879522179475416,41.8806875917506,46.836693263433446,43.281802216158084,47.63247762664355,49.45684230390687,46.47804905240929,47.35226679238427,46.089344608670295,47.28664947565092,48.68356898487782,44.48783394466393,46.320690139064745,44.65644842155423,42.531064514892684,45.814246019368916,43.31865058630804,39.73729641848051,42.09441653691671,44.171133217858745,39.55019925618448,38.081806661825155,42.14824091707201,42.40015376685299,37.003494771353395,38.891840569282486,41.358229370239826,37.507400714944865,35.533970273200666,39.95960933670731,40.34813991589446,44.78338351954874,46.210743788279174,46.146703524178015,48.756222070464446,53.599446915672296,56.70795727967243,58.608037837353834,57.89760933405719,56.79526134496507,58.30641620213307,54.971607412092986,59.37547314950971,59.14148111391073,53.13804344509121,55.395478088540166,59.17463165332631,55.48004490979891,52.876023979383966,55.80669536255918,56.44958144520096,52.346326526015616,50.27877241387385,47.8597802003542,48.32416950266299,51.4321192873396,50.591626453519794,51.20995135782148,53.20794978387611,49.41763927585479,47.17951995148569,49.17212067144764,47.860943399793186,43.41345587774095,44.0240795759192,44.95528719591103,42.19257227935684,40.85113236999667,45.68951020837311,44.89467679507559,40.62950227736813,43.65406600225975,47.5423898614538,47.5325336156136,50.13982410245485,49.04255625426707,53.25688136542159,52.30681341729945,47.12018573897764,50.643389836611945,52.835573157532586,49.913550572841245,48.366322076186165,54.32030754312264,53.69059876343147,48.379031893727664,50.19755540502245,55.20409378318634,51.94995312975463,49.21373257456484,45.18587005636796,49.28620671055732,46.42043959134748,45.77948994052183,40.75640610211764,40.22704206696979,35.64536076101328,35.871430917195596,37.63976782655995,40.85368945818747,40.8280688752998,41.94436897452064,37.11844195357369,39.1492496897688,34.1068355705498,34.090479855389894,36.042610336309835,37.656203012265095,34.367053694640205,32.072991696298786,34.01419766156268,33.28477250147883,28.544910846041187,29.002729854270047,32.572308918747055,32.74772853080539,34.5561717483328,35.89421838310404,35.67790508472624],[28.99015093450435,28.575497074903552,29.974619663853197,24.729575823382312,27.45050699818693,24.824517142102223,23.735034049628403,26.111291410721027,21.83640942357245,20.39134981530783,20.481541767034905,24.427750841207455,24.213715386818645,19.545306413267145,23.121234924638177,26.125179007464375,24.466937893961706,26.70856829449424,27.17999790493285,31.392669884376755,33.3987652924459,37.94500961945671,37.01415131807501,37.08309102301389,35.169141465569346,30.860238607328842,31.061868854219462,27.733261204976646,28.747287729766878,29.824052080438385,29.428490713522546,32.11009801190745,34.224558235855376,36.687772801897765,35.80463547841693,33.57449344328476,35.01442162479801,34.479649100903075,35.07710243160137,41.32789875761617,38.270958014286066,36.28097636239022,40.757685205817694,40.67259727670412,41.41968064971699,40.278928125009635,44.12890396490637,44.57474738618992,40.95428862907667,45.37777561608523,47.764877732105234,49.40346861239273,49.91973437607194,44.91712791732286,48.82281475345168,50.77192571494764,46.33410615010706,45.47776465465889,50.05848742055723,49.368355642377686,44.55496588047574,44.5606530014547,42.33619550106376,42.506487117219066,41.22260011061413,38.65385583513641,33.45979954639607,31.2381823748736,26.76736102614941,24.67159409719642,22.497760236498415,22.821052164747893,26.244502101540668,29.86671765764579,31.309806906615165,37.17672222479134,37.979009360174416,41.0655543169719,41.45293921549236,43.33895085265237,43.284574138443446,43.79323837358282,43.15821042019875,44.580440613475574,41.382735166297905,38.93971455000855,38.76280056497823,39.80621653736149,37.139689895068315,39.55499344093728,35.65614208620743,36.715924416184954,33.61574576712686,32.864992337223235,28.93377900296597,27.904854585199303,24.419327135684505,29.767584349737536,29.22921356684485,32.86136886853799,34.132707602620584,36.25102040803559,37.03429349058157,37.732687686790584,41.389546037494675,38.09361138645935,42.15845259128893,41.94945846506381,38.90754523807986,38.06806441032249,33.43527740299285,31.425184811958093,27.04697124671996,26.142260123097408,23.065864787296587,22.51419535276677,23.38172489243977,23.246447669115934,24.182652657205573,23.2113390444645,19.866624333111787,18.824871769562286,18.292333019651238,19.44913670084166,20.505798018005425,24.823918072266437,27.79955754288727,30.385701461486065,34.146241025045214,37.651619613410205,38.589887641092716,42.955185373436706,42.30518828603124,42.308693512353194,38.14960944207645,33.674996462918195,33.367655364206755,29.621316979705163,26.366871251326415,27.652951031198096,26.55537376873532,30.085409710573344,28.6184486277627,28.200859747047513,31.237116309563124,29.648699132043674,27.736206967256976,28.006139652990345,29.69609543368903,27.31529034668331,30.82321835790011,28.960862247800332,33.887439966137244,32.49990731001879,31.458751264967713,32.72357186717261,30.205808669025988,32.8799115232703,31.50151110935858,33.84782711280017,32.72781355779344,33.03903901465459,31.742710708625896,35.958391269792756,37.44261283684788,34.98078884197596,38.85515884175091,39.89561577000556,38.6833101943471,34.68509183900805,35.83004084049644,33.10462968897862,36.314522671471444,37.41589419828428,37.59078769185309,38.89937873812945,35.82958568371939,41.47010206193137,40.96637556717767,42.95163547660329,41.51209699307087,39.60382777035052,44.0971347586399,46.222064110305766,42.924245162142746,43.7589326614616,40.85503057899822,45.4679656655358,41.31068632946405,45.61863253194252,47.24767392183485,44.5622636483778,45.187384979948696,43.96128382621974,45.271459070037466,46.586176489402,42.39195005539684,44.51695948396771,42.83099359998656,41.30232663070932,44.6410076825132,42.70464421998042,38.86497767269927,40.72481281416309,43.29207459933368,38.91122319595469,36.55740704892984,40.89534655188204,41.96746660550821,36.23040390387031,37.720055111614364,40.587175974047135,37.17775710563889,34.55893136713157,38.77488507407947,38.724082537071396,43.70013611488365,44.14347328274306,44.51335672026016,47.482415213889695,52.21091569531344,55.533024034978894,57.332279854724035,57.03242552359645,55.84670902611309,57.5447089763406,54.33809974075753,58.48930241803173,57.93200524195911,51.83117451982169,54.2309284437781,57.61437517509339,53.669578832377034,51.15888128490739,53.96795952666336,54.16639935988358,50.0493126323586,48.10753491416479,46.01160658805505,47.112866285712194,50.38082347250728,49.8836971368781,50.98093330001804,53.37446781008596,49.76182433442658,47.0079942596379,49.29600648331893,48.514628216927214,43.82003243504281,44.05583725706479,45.52582898332647,42.991353252741966,41.083370441214015,45.95135397804222,45.58817809001244,41.25131791028939,43.69914058071284,47.66854364779621,47.24001131067507,49.92916047593371,48.759192596606795,52.75973719188141,51.642174564185986,46.23023139829291,49.6518190844169,51.567167724895604,48.50792630872303,46.763979780327205,52.616687725106274,51.70749286079392,46.23798820217279,47.97421973783527,52.824494102912396,49.32361731780885,46.424073437243045,42.508034343826715,46.18696301427802,43.27249917579735,43.13867630281303,38.062586460731595,38.084620616392804,33.77009519198004,33.192365811989916,34.91296515532986,37.80681185447113,37.98555409424033,39.70809185486293,35.15742638996322,37.53921429598756,32.65271222452809,33.08469322742145,35.86485544133791,37.82422491663577,35.088909508692765,32.01877541740951,33.99535020901856,34.0829855973745,29.185244724265555,28.935714997660533,32.90035792599681,33.63299386705328,35.678469997798274,36.97487201712599,36.9391508777048],[26.494227009542858,26.770742706779327,29.023302815607387,24.354429799939577,27.99169860694922,24.504913495479748,24.20788097052216,26.321837331435415,22.03103707945194,21.781053549269835,21.685883185435763,25.080741505557047,26.089748783792707,21.80441709069614,25.333584565780267,28.43099633640538,27.54332032492237,30.228604041985143,31.47402192010535,35.46523275486301,37.856670628028034,42.407804128081736,41.80276089554437,42.012879890175746,39.87564698086091,35.52838558783383,35.31529341090938,31.649493576921287,32.1548508914795,32.53570944705958,32.11252951329743,34.18981966789756,36.05594066222966,39.0441200181596,38.39431440868465,36.682542563854625,37.733144168190904,38.02580964688851,38.77271506326012,45.06480086563117,42.44265060390369,40.51314921835217,45.00487742798786,45.16080189333563,46.23394245819782,45.16032627907191,49.05925540894425,49.22281515744627,45.44148562304233,49.78528561757414,52.09859408264545,53.50064886635441,53.972522828104026,48.9017430721088,52.560340518845194,54.89319394798004,50.61559382056825,49.39561798662761,54.05014573600789,53.769414005464775,48.87549537811442,48.6530766681873,46.14351664667699,46.74594892107529,45.612082574302875,42.735224121648365,37.71067091073779,35.066399427589104,30.94220585371989,28.27455490134015,26.51610757104665,26.84889616984942,29.850864562786853,33.89655351790448,34.791921418588814,40.6497376879467,41.57923097343968,44.26262665419467,44.7728799398485,46.88373018131881,46.474018205477684,47.18288377535274,45.99157436863527,47.62665823699162,44.67631678216397,42.085181292598314,42.26539070003197,42.739331652893284,40.521068864752706,42.403491268401034,38.65913953117723,39.62971880572344,36.20652904741378,34.974677863142716,30.973710089408495,29.531411162694837,25.99113078560847,31.101317171933026,30.18686274802159,33.03510561275825,35.350358622148136,37.035181316769965,38.647656065320206,38.98128412786205,43.11393429084838,39.56211033588661,43.403123139743656,43.29544976957316,39.88071416774623,38.96189385872438,34.21393688985313,32.94561427260161,28.372305245672255,28.333145655537578,25.668020016057664,25.784397884552295,27.1213005690641,27.550946422442244,28.86775823540082,27.24767689513065,24.00482947484332,22.356740730787937,22.024536710614527,22.370428233509763,22.443784171509726,27.001426551876012,28.795945816982965,32.001491450973575,35.58588797387436,39.41042640249334,40.307453127318695,44.66500435285543,44.564705232892095,44.448765026052925,40.58305062029116,36.08570647301858,35.54378467926457,32.361935937116826,29.54247463770157,31.14456897672481,30.818126294289463,34.64099510664966,33.0233302929991,32.1563166544192,35.132901051658315,33.09936839504188,31.008950124940913,30.58637918862629,31.71735889758633,28.67761661441373,31.544138265269133,29.054987850739074,33.64122165792069,31.365728573567537,30.955552827457144,32.91084531720761,31.02367892362206,33.78112234616294,33.141655571512885,35.523130244673105,35.228316402411465,36.004341994883134,35.17773590788353,39.40961096128643,40.94978251964364,38.70110499217611,42.227115227920116,43.47581586609344,41.82834028380764,37.913768030988095,38.81048645787324,36.20909984772568,39.36383854530524,40.30623953646338,40.35626608332613,41.19955151600833,38.16298492726131,43.67553312324823,43.706463855584005,45.45049311594911,44.443842135220976,41.89657750849736,46.67057654521313,49.046329665319796,45.943110494107486,47.24310530758139,44.600997541403714,49.440757426023445,45.345766477833806,49.57955609003452,51.00120310507488,48.0691752217273,48.36207309674332,46.79636587980475,47.77671164564724,48.74354443449325,44.28207157063689,45.966214632797424,43.83473330660766,42.123757023808835,44.96868950496672,42.79162690745265,39.13219083009265,40.76500242401505,42.8892734969741,38.34735207219987,36.197687116556196,40.15144286476499,40.769627074674496,34.988444781428896,36.38060496677366,38.86248713088893,35.23198317091462,32.68049999064117,36.75280664087619,37.19811808566327,41.75414658939822,42.98539981102585,43.44646275414921,46.07860010108808,51.08763218752803,53.98969416882146,56.22102524605484,56.018246512557106,55.2045298460191,57.10541218851737,54.1474516463843,58.53641197688241,57.807809180584414,51.910077972863554,54.611728156710534,58.06393631930969,54.08418136277119,51.836457930163405,54.98395576395531,55.022340723648895,50.75906363007607,49.41750991824118,46.74843680377008,48.033210944037194,51.05786421696591,50.021283057721675,51.12687525406978,53.07846298209927,49.710577652436626,47.030710432303316,48.67347236000869,47.83487819243212,43.37585556967417,43.30310521026429,44.276312052431635,41.580660559573076,39.7274302844158,44.39406303159153,43.64712250201133,39.133272480064925,41.7367889283979,45.65530964940157,45.583863013669806,48.558768453197736,47.83499609077556,51.91788555572724,50.42607849343282,45.29111106691744,49.1429783685186,50.858527881832266,47.699089684187626,46.52275970749446,52.39017272329814,51.191874766531534,45.93164912989327,48.16902540405762,52.8337173032975,49.129762263515914,46.59359428219233,42.42030938263609,46.08975367071646,42.895103467377986,42.20358910786332,37.370888428459,37.39605061722874,32.90700031299351,32.65038172332804,34.82997653450232,38.00248329440417,38.528782096008726,39.98973248075768,35.70934094464366,38.363102156591005,33.593118870679184,33.13093643006253,35.84834158829399,37.27580904233633,34.64261394695562,31.76506460010279,32.986966896558684,32.73645754846646,28.408951835179117,27.62671169902195,31.0323697560357,31.221845486741437,33.12329806659915,34.49828935589226,34.40758086406167],[25.245414594906087,24.990607550271978,26.943857354564024,21.70911341856104,25.43419846724101,23.289579623708583,23.179392208242735,26.19340627116005,22.48676573128389,21.997506308543826,22.856241036771934,26.630322674089495,26.597769342072116,22.402331805886753,26.678872560107312,29.425333804517017,27.632329519833625,30.52541703149479,31.24256947516119,35.17011575499072,37.44316349191874,41.857097950795705,41.03497697025843,40.77374110511539,38.57809952314811,34.39424652950802,34.1510529362865,30.72090813987714,31.978510896137653,32.829136772685885,33.427269448189655,35.340613714495724,37.843536787234086,40.69954494655286,39.43595485043055,37.23095720710312,38.03489157715957,37.56474031251663,37.773268950762805,43.87111839790742,40.839006219351766,39.59513646580721,44.1206834289376,43.7441202702232,44.565554258493115,43.027971992981875,46.8625257900171,47.43206941470326,43.39859043004218,47.48627787957128,50.30322333443962,51.74103009948768,52.62666440757376,47.579285804372184,51.812914203207946,53.97388770816226,49.633290303807065,49.00088843823035,53.719745229305246,53.043444781725654,48.478723022308984,48.87258936913016,46.767197155692415,47.17601271524152,45.55501352661239,42.79970653443017,37.98630439444679,35.65601176498588,31.42663882424019,29.364773648823256,27.377204401874785,28.18137139990124,31.41018793155316,34.97692929618201,36.08510563634289,42.13886350784592,42.468332074983564,45.5787663146422,45.59350286938021,47.2227638519369,46.68720232044217,46.77842376352385,45.783984583097734,46.82208554210477,43.573207242716435,41.556177224047715,41.98729896073343,43.06889027876066,40.960047461885395,43.63880120518851,40.0301077776778,41.52382308448357,38.277686020416766,37.18963456391041,32.94439208467088,32.138078948952376,28.299724470620056,33.130633760007676,31.971879323058772,35.001532171932936,36.64364423507914,37.83170527370718,39.0501019659492,38.85791784912131,42.34631759243648,38.47925912814546,42.17939644803505,41.505739014320184,38.04261134985687,37.71233375711952,32.82436688136932,31.570130334245285,27.336114612878248,26.748591961908897,24.688206046299534,24.078318303698634,25.868389449714176,25.541988534903304,27.707885075093042,26.818664338163227,23.296047828783422,21.69499268228639,20.119637329621487,20.535121613644147,20.853435816945638,24.710965035083227,26.90540895163027,29.870885203584315,33.3861004284849,37.44833341642474,37.62852423779268,42.168815671877226,41.86030398080864,42.3688579339511,37.96820314825498,33.618645848627,32.36162660628981,29.289373781800712,26.365844158253026,28.441703633465362,27.70173003653514,31.823826569364137,30.90764610628104,30.078561231599018,33.401136243568246,32.04145464144276,29.66464661960942,29.821016964824302,30.946974127856112,28.347476151132877,31.34214786592191,29.709211204127552,34.55704588625728,33.05348200128142,32.84955035691504,34.226817062541826,31.922077144929084,34.09037742487959,33.3791437765841,34.903000845290606,33.858850413265706,35.028489504451294,33.26142125914565,37.793571156352535,38.5617835454025,35.66147790562432,39.11122703821178,39.87356449704332,38.12049708610526,34.35596401299738,35.62453076227543,33.41936259335541,37.142429636534516,38.60595583769619,39.21047761327011,40.50383829577721,37.949694863917806,43.56450622141102,42.99116467527275,44.589387262576295,42.861976722702806,40.42970787475905,44.73987246740891,46.81235305295638,43.61437234772714,45.175835778496676,42.72368370440337,47.247749706893174,42.66505575449904,46.78065824497311,47.95566072160909,45.25854077067925,45.25125157304622,43.673735175597,44.6993962988935,45.54417196750728,41.09870938760817,43.00264513699968,40.854789077221874,39.701257173037405,42.57213524009593,40.93609183500406,37.07380089380859,38.23764402704531,40.8143537923646,36.55406340749458,33.59998232760783,37.791526214207394,39.20258869082147,33.18302611818467,34.20614445283185,37.085919259639624,33.940754932382205,30.821102904520888,34.68514250571932,34.64132177314947,39.71514027266708,39.94252226509988,40.76025753507956,43.74068882089103,48.57749936045241,51.71797269448906,53.78186293129754,53.92617158898579,53.00083757126417,55.04023356736231,52.19661955834829,56.31988987849386,55.31644289722725,49.35192916759314,52.152982848119805,55.232870562966035,51.054204011954106,48.89453192728827,51.91517965026858,51.5667218120934,47.313079891588586,46.09394460701577,43.72273216925002,45.57341349345744,48.71981861698988,48.01466090278974,49.55267930871805,51.87791087815691,48.68914999151811,45.54760053805897,47.48865068440802,47.15619995626288,42.49107532030216,42.091661647801324,43.60856643028077,41.17552502129725,38.80708187779293,43.47865703470913,43.200329396551126,38.70353976938951,40.714656074804566,44.67885004499392,44.16473357596557,47.147767125764,46.30890995324949,50.1589841658963,48.57100519042805,43.235724780630484,46.92497608533076,48.40273213159329,45.15224497607433,43.75548878890398,49.49882030212889,48.09283647418107,42.701369772072475,44.81949509278873,49.34164681158337,45.4630736463479,42.769676246985966,38.73006995796747,42.03718139789834,38.84426727957404,38.64825523046917,33.7577431837477,34.259443293419544,30.07294658203897,29.065417764812526,31.145968849772895,34.00176962862979,34.68731192453263,36.67880385691542,32.68653307727865,35.63235533536249,31.078072127344296,31.039587053762318,34.49100670810583,36.24798091149516,34.17435610537818,30.605250561946256,31.891006725728165,32.45354588313852,28.01437411746833,26.629992532941298,30.411778400743525,31.226371252404995,33.34876269397596,34.65265007987933,34.75034713726386],[23.530445884273707,23.757117162057586,26.545374926108753,21.78265315550535,26.56203521737582,24.76840443630295,25.69898698789611,28.990920113170205,25.844448428075964,26.2637060605035,27.46698708297289,30.897936755648782,31.267230268117224,27.499760189656445,32.00730890017828,34.61456705116202,32.92510859956651,36.17107806084234,37.08091811859394,40.82288852454979,43.240697424111445,47.56237606060477,46.80233495914604,46.355455895227706,44.02880230632597,39.953171572423415,39.45093797990573,35.982872655392654,37.297356548859334,37.90046303927136,38.98752154098249,40.37365420825934,42.99418436796013,46.15055747461892,44.75521139492687,42.677123854631915,43.056491813961124,42.76045042196897,42.74931273267858,48.69010923270916,45.73663473752797,44.97174451770873,49.49268640663824,48.94868332129862,49.80414761093796,48.011988965460716,51.797246734906636,52.465521361616666,48.1900581112484,51.999088862951126,55.09945326451223,56.37764188915581,57.51299120365369,52.46638599092837,56.86333368980157,59.181215399075725,54.93489442437283,54.41358107698757,59.20001201631089,58.5600267516525,54.15213889596855,54.732239404948416,52.660669719123895,53.218415989013465,51.454351775466804,48.59648750233838,43.99286833210821,41.583263244684176,37.503830040849756,35.3934331535065,33.52757876229434,34.45200424071312,37.584741958224335,41.186797425291864,42.10697882193341,48.21876802589382,48.37331762903894,51.420725477120186,51.278766223619165,52.801976664193774,51.94556151200552,51.81666098956076,50.51649852504913,51.32600218440864,48.108945322821114,46.37127757434619,47.21978914291026,48.226361199139696,46.51185613574191,49.21721890799385,45.789716674505954,47.441770858364166,44.07582171822519,42.739637369452886,38.36852017861247,37.55298023225707,33.59252113779916,38.070819832089775,36.50668583898929,38.91719943983979,41.04732035030357,41.52121017409261,43.212974949822055,42.334846748217444,45.75115201096959,41.464220488031195,44.75806977560153,43.73042610747158,39.895546587336035,39.991195324121904,34.98838564867661,34.54358620535159,30.514225792416973,30.347799095640674,29.107069959037084,28.575810605979076,30.919164386010955,30.522546406541075,33.33667606410553,32.466825620625386,28.923325474011712,27.02917973588156,24.973975507514048,24.834362074328588,24.490735542871313,27.850893980207992,29.08817865667383,32.38442268881129,35.54595698343444,40.03831788512749,39.54523873919478,44.14654002291906,44.23126299634024,45.14638449590538,40.670022053128974,36.527634284077195,34.44596358523535,32.13778007197523,29.6348064218817,32.27729207330839,31.83958504029197,36.27996542399463,35.767614973049554,34.67191000810928,38.11623486021033,36.8821732042161,34.23851270234208,34.21555080674232,34.84139646245727,32.02518964085472,34.419006432364526,32.8281125742245,37.39083537702754,35.555280675481285,36.13370404786146,37.764972695130275,35.82115174367911,37.632728794545095,37.55204529688457,38.5005190332868,37.68854240371481,39.49746819155426,37.501861857556165,42.17688599875547,42.41353726788459,39.23389380126473,42.2462292139052,42.75203694078044,40.533361649851535,37.07972824944345,38.41433425730359,36.71363495391567,40.75555560250353,42.447088656368436,43.332708518858254,44.516040855830695,42.34997076056054,47.85251989845015,47.33890486991138,48.60788123817345,46.76225152447743,43.87541977344015,48.02066842557123,50.05558242561964,47.00501822569561,49.158789434922085,47.09096280131387,51.51194643493426,46.65963548805557,50.56950145274055,51.35027930051881,48.67075224461912,48.10436631501668,46.21552338434352,46.93470535262587,47.28750748009929,42.65173838406432,44.23933515613752,41.601748146957185,40.808042716690885,43.054757379800286,41.68845421838156,37.93641937415079,38.31983983651266,40.73819102402702,36.654836061575644,33.20377411805875,37.02040304178109,38.63106463447408,32.446508497544606,32.88057244571648,35.576987502126364,32.732400025441606,29.144465320007203,32.41441433414826,32.550447754320615,37.50254447760766,37.70007553745468,39.08669985868422,41.93141547959013,46.90877514535263,49.67523904163695,52.151748042481245,52.81458404207869,52.28165708620355,54.70739715966896,52.33004764619873,56.43449858296452,54.944090307121726,49.2450770705673,52.484793588638674,55.230803735509575,50.850831318940024,49.14219272056706,52.4007480072122,51.4510993108464,47.08576983962083,46.75261905477923,44.043039499974405,46.64618337462838,49.57420199636103,48.55651174145962,50.49265006213992,52.60470144880096,49.91310304617693,46.4877213510056,47.89393011791604,47.96569122620347,43.478383315276204,42.40283018966632,43.780388530186414,41.435661650492996,38.69238048758776,43.006616006652806,42.68228165957753,38.04778146549916,39.62039372056773,43.490265751762635,43.01909387462031,46.3608540322864,46.01334409848941,49.677698259533166,47.5043432337677,42.4180495287735,46.45115502535569,47.38049620034834,43.938195541915114,43.09716336934516,48.63231149174335,46.607943234532016,41.442144002257976,44.07151807772552,48.105867780126864,43.78580251548571,41.45752881591777,37.29832416045126,40.05216859003644,36.49172333414692,36.09933133041666,31.62619663313808,32.74286791114374,28.796368881957232,27.352094978535224,29.931522548877673,32.70065292283453,34.05579256392973,36.26272135237461,33.052904778709305,36.54148298039517,32.47528628088686,31.781087760685313,35.7420788815082,37.11799729611755,35.71884196224645,31.87896983177285,32.247500771453474,33.13105428198166,29.447551321191874,26.897726444421657,30.1447369305918,30.793073941508432,32.879444708505915,34.17191356868844,34.33322036066951],[21.280673799485236,20.806848969778088,22.907956601589824,17.699460725428803,22.115944281752046,21.07619151050381,21.870943219228128,25.570202706363297,22.835404457996912,23.05334413576736,24.807984736155667,28.35969783185421,28.084511136202174,24.576983827534796,29.4323290251603,31.722423267031456,29.63085926555384,33.075961682031924,33.95188248179845,37.44483263929467,39.96140644376377,44.12446508689686,43.46351662950006,42.82757393706841,40.31487797354599,36.37923736225175,35.630511335276225,32.2300374457685,33.80637302424191,34.52472228030431,36.320621697672,37.4240920791553,40.43319300106001,43.544045121903004,41.748398859678616,39.48333754988127,39.59067966893341,39.02404314685523,38.74381221652884,44.51454871515428,41.544795907544405,41.19524310437444,45.6849257049437,44.96629000104474,45.88450431204636,43.93856719879369,47.69792875988871,48.34951601469611,43.91235903290044,47.54377180867416,50.79227784378662,51.984274777831935,53.283090115627104,48.27229621648241,52.85475727105411,55.202801647774,51.03142576515796,50.71136176779578,55.53019366485175,54.85064988392871,50.658812989988846,51.5655478374794,49.68262918944316,50.356408183472084,48.29617294892995,45.36697101736873,41.112663526292785,38.74279876285458,34.873046511166024,33.00273077995961,31.236285467758194,32.65883174967744,35.61308883319888,38.96185555024461,39.69297610611587,45.90454411740022,45.5606471733885,48.74923111364148,48.24270854388018,49.469839439326165,48.41415286705808,47.950663587301285,46.661223124344566,47.16881112161421,43.8748776730592,42.434938115069514,43.51815784783755,44.75095411756903,43.26929940967938,46.368814355220536,43.157280605441585,45.231339908411854,41.94372932575502,40.59888145488848,36.080035708699086,35.736861471402115,31.60391390035104,35.721216157242466,33.989514238196804,36.5121437077015,38.11739623582268,38.29861281087042,39.70272893594902,38.56308005595549,41.59764799816277,37.232622082193046,40.475486522189144,39.23973056602258,35.483117712115,35.79465846615858,30.802401511895727,30.259091806209263,26.46865783849133,26.03266022788167,25.187595381056447,24.41337131630567,27.060213042253146,26.501449478445476,29.91267388851719,29.18652483431549,25.63880484569262,23.618406530912676,21.011570168924447,20.682967205697643,20.347508787729495,23.27398913470147,24.729236428134943,27.816092963283076,30.950172031573242,35.44978102579146,34.75875103096632,39.3941823710516,39.361798475552,40.457005894490734,35.82943415338542,31.762743892409322,29.509607311018442,27.24518837501222,24.80546683973872,27.62052126961804,27.32185736654377,31.907858145250067,31.60171278872801,30.35719785060312,33.87253451576156,32.879644729150314,30.09724981224008,30.26456426985697,30.82810371312052,28.306014564353198,30.77474599272383,29.75692864378629,34.46130743317282,33.30861999836771,33.8294273577313,34.96979180723785,32.7465796180555,34.18205559563088,34.033883026757294,34.50242904672374,33.35319234560231,35.38346453797648,33.052992184070845,37.797496923905385,37.72494078849854,34.42390258927451,37.32259290945989,37.77705370050026,35.49736929504005,32.086013753545764,33.45637596428027,31.88742103274826,36.07135293965934,37.93520534421506,39.04983910787109,40.40653752222693,38.529434084312996,44.01113442290364,43.22313908105066,44.384695174600274,42.262073869804595,39.41680865056591,43.3537255373772,45.2814915001952,42.229575791596304,44.524244503046916,42.611091005479594,46.93162263044879,41.979833940283,45.79936734856015,46.468247058035544,43.80659181664926,43.134095699204366,41.23327945316112,41.96719507502486,42.3365852367316,37.743619662639944,39.45685994369202,36.94484952373779,36.29167869824069,38.73063369108998,37.55967463776309,33.69150022980955,34.10061878432786,36.807940130976306,32.84742661544977,29.174669148263263,33.26574460677691,35.24613393586777,29.056301472343893,29.55457785126929,32.584279873530576,29.94075896705308,26.277531996884232,29.73175887958997,29.436818079330397,34.75169172352504,34.378332193182324,35.60959115168848,38.715965164250015,43.49348635912521,46.61091426463287,48.735918113416126,49.30494544418682,48.51696125621769,50.82902291587201,48.32399783329671,52.28628140892031,50.86794963614303,45.040988374023755,48.15045699690998,50.8506658696994,46.474540333039116,44.63803911961375,47.76617260103753,46.886472640144255,42.56864472387465,41.98894813394673,39.49212852687964,42.09558975763989,45.12964104120666,44.381778672793054,46.40077809064445,48.78941410755509,46.04313219596027,42.4690508393114,44.238970744812754,44.467272052913174,39.82347892788747,38.81215209909513,40.59077038364939,38.411590397564865,35.51642655116773,39.96213271425345,39.99294397204985,35.504244754579155,36.86633703253057,40.782951652153216,39.99085592343831,43.12293061641426,42.466248225624845,46.05759384624165,44.1303717234491,38.82629685134018,42.58527884353716,43.64612167178875,40.26596501710901,39.045853005584384,44.60419797449366,42.798811809661224,37.467918219152615,39.8033190125921,44.00762524179479,39.85350622898229,37.28533213782579,33.23214484827272,36.1688855028862,32.824644485495995,32.73946755410272,27.98478796157209,28.972078445996793,25.087218538387447,23.494621973682438,25.76684754258813,28.462822586671244,29.57302688022611,31.884626063121612,28.529647701042688,31.9652600158007,27.908797003230575,27.61967639442323,31.792633889954818,33.47967727822849,32.24092419871554,28.105600463317273,28.836737819659692,30.138829576403623,26.187227913927654,23.709730226177943,27.39654845658846,28.614815543017045,30.84948668430435,32.06999844994483,32.37181863130472],[24.210765324692225,23.585833516068483,25.562593327411555,20.36170051264007,24.666304441483867,24.668245102324324,25.540659720631663,29.522780951357266,27.08367286106495,27.04943565110142,28.999956262717795,32.67771522167861,31.9356804680959,28.408634633871078,33.31586279357794,35.50144441648335,32.98192928457995,36.234131284071516,36.562035215473244,40.100908770231044,42.30658582234021,46.36140900579343,45.400247854418154,44.47513450239347,42.157769257455165,38.40159765044274,37.898146568565586,34.84019046530325,36.87287560683148,37.97295039021188,39.964143543615236,41.24232438756336,44.40851702669261,47.301891549789296,45.33702315676844,42.78791663868782,42.96871821429213,41.84549855262499,41.27982263160182,46.8462179655556,43.512142041610794,43.4770213037806,47.90651388273492,46.81383815374504,47.37559442854799,45.139136617914474,48.75889262351509,49.84469751940695,45.41746640662238,48.85970875418018,52.43272449108279,53.742260634947534,55.2942169301006,50.377215522242366,55.299400315275264,57.36584994038988,53.12417003357482,53.23926597209872,57.99835201007816,56.940932766948706,52.95963402994322,54.16482454413517,52.55250710164584,52.89098473647874,50.66444038188039,48.0033179038533,43.729433540663535,41.710494236957246,37.66552388131829,36.219999851045245,34.21474577013141,35.54781437429078,38.77089285467605,41.805297564099085,42.90918986126244,49.07049705404315,48.62696335368673,52.05885357526913,51.42591537854562,52.42576887639251,51.49969758971524,50.73854804070102,49.733916890007855,49.898849313411574,46.42246985519985,45.32751647553054,46.36277817233169,48.00592051468484,46.3871755405395,49.85353094878515,46.60924420298551,48.73246293690252,45.62717863785435,44.502071454102136,40.02427700755577,39.83270887540243,35.73468936077934,39.89509992536144,38.23497168401438,40.90807269417621,42.17605624736775,42.28261994178321,43.39694775995634,42.117645568696574,44.71596471377718,40.2857194048329,43.39144319497957,41.782654261140614,38.08972594711657,38.81190849198837,33.87213997929198,33.312710693498914,29.867669477942673,29.018540342063112,28.42507930563537,27.13483423663963,29.746001424674823,28.566370982972238,32.08014886012644,31.99469483084237,28.410887954544403,26.7349396444827,23.631955413354262,23.615852362736472,23.646506088464413,25.92984295261045,27.699323163724763,30.436204261037055,33.40973301916574,37.93436735428243,36.6787870615841,41.35478886621986,41.104746918975,42.69623126977018,37.71675375478626,33.892218833758925,31.10710544777686,28.970206828166067,26.456683736602677,29.471847191790147,28.549982086915065,33.08497913189269,33.376039033841856,32.396382341225454,36.04952643020519,35.60292177943866,32.81147525117548,33.4494126475328,34.120268998839435,31.974347439208646,34.50921588235443,33.903956018455084,38.6292192049842,37.75602721946568,38.305536252748915,39.226687668275886,36.83567954719074,38.03850278815332,37.748570320202845,37.83864836091834,36.169843517087955,38.246223844144545,35.30371642687943,40.115379335473946,39.51258177489609,35.69686725789543,38.55500580753072,38.46596667378524,36.22971553835794,33.05984474196252,34.81133856160322,33.61934004238138,38.144736067364235,40.35698609505332,41.80619255318473,43.48100546982293,41.84519239852882,47.32401312270862,46.140247724034786,47.27059990698661,44.66575439702829,42.077864508813846,45.58259127181335,47.208432033252244,44.09798727269678,46.417573134236775,44.57521147480193,48.529725446017764,43.262702973886384,46.95749502881139,47.47129235908774,45.13505642942061,44.2916513418517,42.481180267539145,43.2873616120674,43.55878094211225,39.093880961751786,40.98319419949185,38.489645075334934,38.380525787927404,40.72535458769528,40.03562446101588,36.127687930340066,36.048874051434936,39.022567489803976,35.40536755344045,31.135787462244668,35.20921198565451,37.76478025607986,31.55838759282319,31.614237636191298,34.784871272002114,32.6246323198031,28.579643441385134,31.551341479452965,30.947223320029423,36.472229594090315,35.262052012372386,36.97586199769559,40.257391089533634,44.85176572371465,47.990979200224956,50.085341421347394,51.05715044427046,50.286137877173395,52.75118030236348,50.44631070572314,54.14545428092566,52.44275634745783,46.69287445441157,49.898425023349674,52.19252932606018,47.669512139179986,46.007552728789896,48.98944681956648,47.66979589138327,43.41640862267794,43.07627624211839,40.89089122053731,44.01512549785399,47.082000050239856,46.580500808077865,48.92529482654646,51.50897477265536,48.96972923029525,45.12664712884953,47.00054803644674,47.587531796113524,42.923921102463304,41.64552327996232,43.6921020128711,41.71288812085843,38.52794168700454,42.80642890011099,43.08554914103602,38.662144773927594,39.55874961047505,43.397116782233745,42.359226198142046,45.529599237124856,44.914471171565225,48.245405564095414,46.14674507562578,40.85803447911601,44.491578093091476,45.221484559010705,41.780297305545524,40.5288184675171,45.82759284950995,43.70623508018972,38.41301321851065,40.70455647034972,44.578218823249244,40.188570894930486,37.59847275179497,33.75319847921503,36.02979011949149,32.62704184926612,33.032891897333755,28.51305674759386,30.167246443932516,26.79134625756951,24.381673234270636,26.59835908965065,28.799703142175638,30.231489917402293,33.086788158036704,30.257533972221506,33.89846647750288,30.213948539663914,30.228755746529693,34.82136230996999,36.631540585067626,35.797725926078684,31.38327868651143,32.02023822147602,33.760671380223634,29.96175857593655,27.144021128239803,30.77286094618924,32.18073902979184,34.436785098569274,35.578603190485026,35.92758816769742],[21.8533985350004,21.082141303427736,23.060732333729327,18.191744114657343,22.763205437606477,23.437544645944108,24.849046322149896,29.040127992147642,27.23545263407582,27.65820981226627,29.99643287615286,33.42623926422871,32.66786516555767,29.630555768257047,34.72951781743003,36.642865365007694,34.11137975668547,37.671945769938304,38.24030996073321,41.449473510788586,43.86071202515987,47.739877295046156,46.97724746267786,45.90116641577198,43.362600076736406,39.77449371805604,38.89562484167631,35.82758639259392,37.89339565789892,38.79619388278623,41.417576575894806,42.154435633556304,45.545830114316416,48.61683964340194,46.392842947531236,43.91117657970307,43.64264856097094,42.617760792720205,41.82151531656501,47.141103352745894,43.98956167442671,44.45566468092066,48.82210710353466,47.620826895358604,48.33664290725223,45.94030701936894,49.49848374391818,50.50519204625523,45.86357879614072,48.993954203554075,52.73565141626534,53.83369844658053,55.58815543112255,50.717756706604845,55.73493846953577,57.98241218127489,53.90935375248819,54.11126584835465,58.91255615262239,57.96398150532552,54.200012146814615,55.640421006934346,54.105093092262905,54.70361738922371,52.26424324259248,49.442202948612234,45.560306393332084,43.44052694935711,39.703689342081425,38.262196778490974,36.47372230081304,38.15867946996636,41.120933318084134,44.09824808195278,44.8659084628347,51.088909501486626,50.26582154779477,53.65277583368695,52.7360546043303,53.53636685336854,52.25287537362963,51.21634207000237,49.959774042445964,49.857505578991365,46.44149694740739,45.65721908940681,47.11046993901577,48.72315497839698,47.55142229625049,51.146930702165726,48.18158535849027,50.62381923470532,47.46740497531683,46.14258157612942,41.53984005887392,41.57691738711325,37.35050506779572,41.03943602765936,39.05439742364325,41.35222033703873,42.64829029027444,42.14439371076596,43.41856392947085,41.581247805955776,43.92628424473908,39.25041692273768,42.00939616559646,40.10477614347601,36.26505886977791,37.352353049087796,32.458626492848154,32.40942659536787,29.31383266228329,28.67911669199517,28.824103303402996,27.603375871796725,30.653132738329884,29.53211226958524,33.674343371795544,33.505922589292545,30.005145518056555,28.05496416078994,24.620851872684252,24.08868065321561,23.638809153661356,25.311453468657376,26.42388529653788,29.194132136830444,31.822495339717,36.539463497725535,34.785666967379306,39.427605642894164,39.43172075188647,41.31701481910901,36.34840853023074,32.776246640263125,29.44193827869816,27.96159225021279,25.921500713344738,29.29049171307156,28.854311728013254,33.572536260620346,34.10436470006118,32.81310324671415,36.463075980134974,36.12503666917239,33.14957651168534,33.665022627295016,33.93513909975978,31.823584457241218,33.932675888821834,33.65869698975806,38.17236205521472,37.495837440170384,38.465722486576816,39.26265554058831,37.004060731715334,37.77271004466028,37.87325702118666,37.36636145056637,35.781179646344775,38.36566959301678,35.26707478400601,40.097804563686736,39.06018085700424,35.16844545285161,37.56998819343848,37.379636813598395,34.78012341985401,31.907010107397106,33.60491567731747,32.828957593955835,37.49128592038487,39.8525045483952,41.54090847944281,43.155131390497175,41.93310584400628,47.242462775497245,46.02732369243889,46.85817022059679,44.136347652161234,41.25069826791837,44.53033627026118,46.09735131244196,43.15315116719778,45.94527276309077,44.48680273255801,48.3373370256752,42.961287689558546,46.42771628742996,46.602333715297334,44.249716871890556,42.973268283586165,40.932775840000225,41.49152845402434,41.42033421462226,36.890959635783545,38.565852022497744,35.831416629873665,36.01384984631223,38.005674162315614,37.59871246312317,33.77634130526511,33.20159791077317,36.17966299664842,32.817553612311556,28.18477272140448,32.08733436851587,34.95292665059791,28.777385214908623,28.478372627978253,31.68201203808345,29.907205391433344,25.613854539826786,28.231331588872045,27.45180018008985,33.048658753005704,31.46067144715019,33.41506550815998,36.732779772713,41.247366141815085,44.342652894471165,46.46266353801093,47.67945845279553,47.00679402469103,49.62249905881896,47.55275710609842,51.14150643524957,49.19616022982749,43.59145864412169,46.97828385053792,49.038183240485345,44.42951169059384,43.00293551697355,46.05912387301154,44.42559178545067,40.1571263191336,40.276727864509766,37.96989834187874,41.52923627786987,44.462720084112426,43.89417639057817,46.50226508946916,49.069462670035264,46.836373973932346,42.78752226655677,44.49932819258398,45.41706414421559,40.84374059431171,39.19989981670525,41.36281826224679,39.57140468762136,36.12058048331741,40.18283171516738,40.651461238266016,36.31754862449005,36.78768821493587,40.53753207453205,39.33668853474939,42.55683278013454,42.06845826269948,45.20732612852293,42.91546244871959,37.71440666542918,41.360460373389444,41.82156018085942,38.33271393502467,37.23197100374715,42.365830946280354,40.00904846452004,34.81155149785748,37.25133695499986,40.88937049263335,36.35508016475474,33.89375920110133,30.052435614596426,32.09070663590404,28.597140986316436,29.04353124936005,24.667785077365846,26.632196022408596,23.55387453207606,20.775577347532106,23.10081767302071,25.16515271772689,26.895240471326154,29.887902517226642,27.571280952965157,31.464783110487748,28.21379279918964,27.99659438167056,32.91107527870602,34.609518427201905,34.31354817877132,29.686417943994616,29.929493078738012,32.07778535737975,28.715405266883778,25.32009497144705,28.748588594820472,30.382303415793587,32.63668982280696,33.67241262664805,34.13332149303726],[20.993893608841468,19.518696522243534,20.5800787081156,15.310433239861226,19.150100843795904,20.63114178930565,21.728812919858406,26.13808087364729,24.709639299901482,24.841557543104063,27.5326355618202,30.98276259527888,29.65680726714935,26.910921612223696,32.11041026265886,33.72324842718805,30.902528563737896,34.520532282210226,35.04522540855565,37.99399706856627,40.4525887265515,44.15997758208316,43.50207120679655,42.30786355731728,39.63784198516342,36.20521191340872,35.132050816224265,32.175099530270735,34.4237489331054,35.43092270395737,38.546971306849194,39.0902744912292,42.7288297691633,45.689320984171914,43.187376946879795,40.57795736660364,40.1262250408599,38.87202002104067,37.875532635335176,43.015677835622526,39.87644199292017,40.65014239357716,44.94850231649884,43.64051007724711,44.423195151386324,41.95348548874743,45.480010021251225,46.42516361224792,41.69719084998295,44.68786174818375,48.495865661293536,49.5249036680474,51.372555336893086,46.550396594107895,51.665058235939554,53.92126155860842,49.92684077948407,50.26488134772671,55.05607285929106,54.09654889204936,50.51249366056051,52.17699540761082,50.794211211804054,51.48579526123549,48.84833840276202,45.99270202548646,42.43376080868434,40.37358825373063,36.87606595226962,35.65342235294761,33.98911588541509,36.026971331742516,38.77667429108896,41.50618726465261,42.10816081169871,48.31839007173338,47.12344990305458,50.58366601666901,49.401159520892215,49.96932929689342,48.56320118453783,47.28749942927142,46.08051197767611,45.7557145206038,42.29675016674928,41.741278311122564,43.33653488441407,45.12301074749724,44.12065044397673,47.9847189564501,45.21420660934955,47.94438842271528,44.89931966599751,43.60805197638114,38.98195322479036,39.38869664305362,35.133778965768975,38.49160417640708,36.45834009483784,38.87985322468226,39.66559573379821,39.02026558780504,39.96765679558338,38.02174751850991,40.018969552564464,35.37195583185774,38.125906082649706,36.09790766132021,32.41634329580137,33.632971987801696,28.823546908840946,28.565104160656915,25.750967555000397,24.80417392129581,25.270313668113012,23.828964747323578,27.042240468831306,25.800690035589735,30.351070031914606,30.301823649595974,26.90809957644742,24.93875281614202,21.14439739735786,20.485593399898455,20.128776731195224,21.274993069711343,22.711442008267618,25.157571508797787,27.772160719495094,32.40037644491047,30.558373888727793,35.21749752276172,35.04536121861785,37.03032128090213,31.944589032616012,28.438341055631827,25.036533495930286,23.520831929632745,21.534516208170366,24.999270127395853,24.691784710113424,29.46887036388032,30.145101482579626,28.749289583288096,32.39822517782297,32.27397475486,29.248948840536844,29.954942809875263,30.21681511806896,28.457653203648583,30.662330054686436,30.90065399120233,35.48025525825789,35.42274570740206,36.21340494532903,36.562511520804435,34.0670872928488,34.54277844021506,34.50103028071477,33.64195664398204,31.730222833138708,34.4148328353224,31.06777119011549,35.89618356629465,34.64562113888353,30.69388478445088,33.028130408984545,32.83413462117419,30.22968194522243,27.35148114037609,29.075887736367644,28.377500597859704,33.11504249160621,35.59240962684564,37.440444155694344,39.20761497719601,38.20502746273843,43.454207953342504,42.00736767566933,42.78164679495132,39.85047061303759,37.08023684862709,40.17879424686053,41.654162937514194,38.69583906461976,41.528356169908136,40.16923455445273,43.93828082478725,38.52840282506896,41.93907089267066,42.06722351338395,39.71862016688753,38.42768746839079,36.41813977929727,37.039359317458846,37.07149828968443,32.60492348851138,34.46229755330148,31.94448491469486,32.19544096185281,34.49179225796483,34.21363354543028,30.281886382216122,29.889277241155515,33.16264155942737,29.90394679770485,25.198918581568762,29.422914962059217,32.553297049214606,26.489977786471137,26.394223782548686,29.89984570027723,28.251147544648347,24.09659866325569,26.987464322213157,25.786074216713303,31.65789669827741,29.610485224735033,31.234535509362605,34.793839608188364,39.073881567252954,42.55058579735153,44.259530563492575,45.24291770830054,44.25299324642853,46.66777482346945,44.37967530508102,47.84824189845672,46.0897539625751,40.311714238495554,43.47828386640818,45.584413109845016,41.026534137571375,39.37430965252905,42.265735006048615,40.843547215168805,36.63473803822376,36.314875013022245,34.278558445892315,37.676372679573994,40.749127365865014,40.48826560424509,43.07387343382716,45.91330030677138,43.537553203190825,39.43826957117651,41.571654008559754,42.52701199298842,37.81576281408313,36.382229637411285,38.901961959694425,37.24718292353212,33.787374759233956,38.00242389039958,38.76950805226845,34.6354492806635,35.03604983752213,38.81123810582196,37.346915797251555,40.27606917676858,39.40803689139558,42.517523016211854,40.59455328500074,35.170678959388084,38.4722531836432,39.189968940876405,35.82165152082524,34.23916648307245,39.440653717264254,37.45641334479565,32.05804073885167,34.08691493288677,38.01868008953359,33.76881115617383,30.981983239858437,27.27294641822915,29.662911522501947,26.507792521045324,27.292240748360815,22.547019425033948,24.18536686022662,21.154076467481666,18.348958130391253,20.17520526983114,22.173731065687114,23.469136826035356,26.532169476964206,23.90776882459062,27.635238202074056,24.3374785394822,24.66702179113351,29.6465077067373,31.6864756707292,31.418784305612014,26.63940571878843,27.382925514625875,29.80963351197575,26.15297682984134,23.112176878044455,26.943848048438007,29.05552075865736,31.387829904265697,32.34789024029349,32.901317744197044],[22.295170463757522,21.010854686955373,22.130904310037703,16.503881816367702,20.096330055285975,20.601045521340858,21.092965651960064,25.26926754322947,23.12583623541383,22.80816203493708,25.132058090367597,28.84647010931809,27.5721429020237,24.31982338228005,29.393703645698576,31.289481421585002,28.521915449234307,31.918589844700033,32.33569499584132,35.61008938904664,37.96414411562058,41.886039125537806,41.112423722491215,40.12177420381873,37.59619297008511,33.92987159640056,33.15149206672286,30.097268025859808,32.23784798360482,33.3728554709369,35.87945974916954,36.90887824708737,40.332163819015236,43.17408233784291,40.93028271399131,38.29305903666845,38.26000480111232,37.01687313525909,36.3053277129877,41.76884027042117,38.51960572240192,38.72708404313599,43.126361050614854,42.00958729917092,42.7370657645878,40.486851163232345,44.12910324289801,45.04063116046475,40.49708462912483,43.86312251024141,47.434326148985846,48.6470813977494,50.23687797075502,45.32778989706552,50.28706577068197,52.441922886257395,48.28579939209692,48.43820629454903,53.22171314941303,52.24408461830927,48.387093576026096,49.77065955817577,48.25100529247136,48.781732372259675,46.36375446932862,43.58105853900338,39.64348130200582,37.587193189357336,33.818962191072124,32.50290977286166,30.677624158795204,32.45932176462279,35.39938511570595,38.25322325005609,39.08320637319561,45.28395886149315,44.44188171544177,47.91273312465804,47.01208562898457,47.818053073837284,46.72040067061282,45.77145272325459,44.74697366721132,44.762570009377626,41.271850569620824,40.32471371128629,41.525692725895524,43.26378296130158,41.85481376078399,45.54684387663567,42.511107192072075,44.960427770383845,41.917101219086376,40.76603171137401,36.21967988622902,36.41202680800001,32.236966478504655,36.04106884162403,34.29658171400299,37.08434103033962,37.88006395470378,37.85388569125963,38.68914604537784,37.331688569504514,39.684299355527784,35.29503206280033,38.4486596205072,36.814552499931025,33.27025658543222,34.007594665516805,29.127709860946872,28.323998679562305,25.04552693774814,23.942203651943668,23.574996277691774,22.14578882814155,24.96342159566607,23.78970843561161,27.76689351086236,27.653406040044597,24.137988922780686,22.33114267561417,18.8852928122299,18.68877437093562,18.77841103876663,20.760579044150244,22.867569220780478,25.37054970907211,28.40549836175013,32.827942981168825,31.658140590442486,36.33937064722373,35.95610003240157,37.50835323991439,32.49357673616939,28.64623958238773,25.9778557843341,23.695815742997425,21.183403103732008,24.24081966822369,23.575858043266965,28.229643555491997,28.507511964575485,27.349245922266505,31.002092927445005,30.63738102402135,27.773665575735187,28.51247109477863,29.172705812942617,27.29539031143363,29.95095173455037,29.786998503080007,34.60544529945107,34.334263844244916,34.68852049809017,35.17603598249881,32.55117865010793,33.50665010027767,33.08761313044913,32.90931435473859,31.011397279597304,33.17471352231344,30.108712249435143,34.93283070166577,34.258705810814945,30.50651400024385,33.343825580997134,33.40475461667985,31.172998740559343,27.90584896365841,29.586552456895948,28.336238688521764,32.86071113560481,35.10631941950572,36.636236035358934,38.40258693622313,36.923671777522564,42.368044639519745,41.03126494657049,42.11881685985848,39.4105273227821,36.879376533898075,40.32267646747681,41.9361818988008,38.815186468548234,41.15997231206758,39.386295983061984,43.3688020449585,38.13076739350229,41.8215689490781,42.33682873722339,39.91663681350494,39.1196746140384,37.32687070199984,38.18883793512829,38.604768370373016,34.17921169565095,36.21104688044606,33.944824772989556,33.749035196651974,36.42953779561368,35.73925728830739,31.73318338363405,31.97911902433848,35.16934476397165,31.567355609294708,27.39928583915413,31.783592768189084,34.44920092760232,28.360735387567253,28.728180918077157,32.15575185520512,30.005078363232844,26.182227975641617,29.532762921701806,28.59864457688108,34.338071450228774,32.89066537267874,34.164970340159485,37.631617917622734,42.037300108038636,45.53685940404499,47.237647233961596,47.88154917563306,46.79177704518641,49.01650943487695,46.44556349214889,50.0869725538693,48.64354277276993,42.712267218259306,45.66743889878975,48.10894523548106,43.68314750408091,41.75429576539714,44.60258140861443,43.6146000841101,39.417311037302376,38.57060936074373,36.58025805992271,39.389041011891564,42.584192583883805,42.33037715589115,44.56574649423878,47.37638391740735,44.639751529073635,40.81436911571669,43.09061133890536,43.62884771698875,38.82599047935149,37.83050582266495,40.17297655233142,38.284559689501364,35.157317504630115,39.631374683847405,40.15541654250761,35.91504702887429,36.84773058619974,40.72964266441021,39.48565487068594,42.35617735004552,41.3522955070096,44.71519801891074,43.025652479518385,37.519310446579325,40.83879635174869,41.90451957562849,38.60232488483449,36.89081185385625,42.31104602420479,40.63721660811919,35.15546160171196,37.051802669025975,41.28546736793228,37.24416005145089,34.35815924072657,30.6014717393468,33.37337388448479,30.31400664867733,30.906600685724705,25.99784074577277,27.16410064858021,23.703696462779128,21.508427534941465,23.267330448752073,25.53159224249734,26.445173966599622,29.197142315554153,25.914939892578637,29.30958646436302,25.455753215411555,25.953521202151308,30.49156900451764,32.62505231623286,31.707661297253015,27.19933231039614,28.383710571677266,30.301268172327163,26.138767084370567,23.772191456412475,27.838507882075,29.69599474598046,32.03278214609454,33.1134208510747,33.540605658541665],[20.150562024435395,18.33141957493997,18.637198507349048,12.765815119543577,15.639176560249044,16.394746333937917,16.59488331789096,20.903699945958344,19.137658926734964,18.782225784034875,21.485270170652257,25.069417869345187,23.494302287196813,20.69155053871367,25.897188743513915,27.48128073617982,24.682699608872433,28.361008863018377,29.154684965850493,32.06826141354518,34.72307810628517,38.517662329445095,38.07428342493428,37.11878980041153,34.2937113229415,30.695871295165706,29.471707375883206,26.27762445463045,28.314748416109886,29.256258694356553,32.30004621358664,32.88848939142588,36.51710369897798,39.439619068315764,36.96938893085725,34.40020063349905,34.02695763546763,32.94610096527434,32.16984401957219,37.56524245115416,34.602063599054574,35.0126724700709,39.38429585564302,38.38117854177263,39.43501276763881,37.267347856345154,40.9542483445709,41.51695081509572,36.83602210314851,40.12744083836428,43.5912297388705,44.62163210514616,46.19127084215611,41.25699785309419,46.12566455906748,48.51484467616095,44.507213913609036,44.52898261639183,49.362543335148885,48.635566823050524,44.85631045328047,46.31340377191386,44.781756542241325,45.66386880968406,43.11943524546357,40.09735268593592,36.563180288351006,34.317402838136125,30.968034538736013,29.602113272151577,28.11067063877615,30.370649684769127,32.85925859991024,35.64875634532854,36.00800675189487,42.23909092773228,41.023173979247915,44.401423588704915,43.26384554676715,43.95116189260051,42.5665913460679,41.51578950595525,40.28489101365893,40.25137925464818,36.8379470227578,35.950311201303904,37.428423066721194,39.063389888568594,38.00976393122321,41.763536216094714,38.99564452418107,41.76251554921675,38.70181792175155,37.39597535528931,32.77208807909665,33.28851710613914,29.043117453264852,32.359810628531896,30.43339518174709,33.14572879487342,33.66978622041406,33.39189020669987,34.147712754288456,32.62543364395104,34.889000745826195,30.483781758817383,33.66026827271175,32.08520820308631,28.600101008468425,29.265124737911083,24.412345778943113,23.514815738495088,20.327156421131004,19.21707782283563,19.19801611022802,17.89608598456345,21.071802014362856,20.221942996713523,24.727168050292775,24.28107704845751,20.915694045954364,18.766193808778795,15.138257535093055,14.402464286746028,14.200390398688189,15.98001924297082,18.124683516128073,20.571440974024075,23.672428874517276,28.05966126935176,27.09552781181362,31.767386353830716,31.428189844462565,32.79931971957585,27.8996120897874,23.965744551255007,21.509545376493524,19.193990039635587,16.853679545016313,19.97298912216467,20.026779231758205,24.83615212483864,24.887298366412672,23.348969555530076,26.932626904891123,26.42459991471577,23.440567643128396,24.023282154491874,24.506282811371953,22.726107675729924,25.353887794117043,25.526572517737964,30.350906196421032,30.555395806016737,30.83617074156075,30.989996021741725,28.266473576764405,28.970806177615987,28.601626161012167,28.17197298211398,26.31043654602838,28.685526933932703,25.735651200246956,30.554186652801775,29.93996908230031,26.46339863229926,29.177991193469886,29.60685022134872,27.267705115267244,23.873256605011736,25.285057109052037,23.90593425559131,28.320377550357858,30.48380525450378,32.00630301730008,33.70233869824767,32.36708454757909,37.744131362990906,36.43529652500906,37.42390383556981,34.798591691425784,32.11405822515705,35.648005541995246,37.37492014150813,34.30722661488993,36.79182232925909,35.14618845375283,39.286297067715935,34.19543825659617,37.87188423164785,38.37299491254355,35.72730972795053,34.93625931317066,33.05784215936882,33.871698189849155,34.3726470126471,29.906544638718856,31.93035842600964,29.798449759249888,29.34742215061315,32.28127130828033,31.446522756184766,27.392879403260974,28.032057201385072,31.284263863022538,27.62232239013081,23.752145275463185,28.342133455789583,30.90902682842355,24.99365554373209,25.737604607015612,29.286311616456505,27.060632470794282,23.597315742355306,27.31652742186039,26.219807135136694,31.96739804964401,30.61443776230322,31.365607048104174,34.88141414983343,39.15779614233992,42.90633676665221,44.2999170737453,44.57007127818345,43.24847659367076,45.244886909419634,42.434243076539495,46.10753749906806,44.94026478329866,38.878017637436386,41.619627668842334,44.29655501656543,40.009041628935904,37.84192078347121,40.65376549038178,40.06134307034692,35.89229828040162,34.62733258197822,32.63656749782972,35.03929177171115,38.30141909954633,38.134155638397125,40.19842700616154,43.11016034040525,40.197243015932585,36.451845018366484,38.982832794287184,39.40825071638534,34.52350742042753,33.798341614689804,36.30167667824149,34.46097909910477,31.455083927150657,36.085264037311575,36.75213052650131,32.69065202692957,33.73212851443276,37.63107018775141,36.291115356455364,38.89592358871997,37.58857022172201,41.03033907529308,39.7077030894229,34.06774561395417,37.16509292347797,38.579050507918446,35.42565239703451,33.39234908041326,38.95727442100379,37.73559325480405,32.150988665552845,33.75910902118698,38.3449326604766,34.68559461075262,31.630247015806777,27.902921310309615,31.272066358415344,28.545500862887696,29.067698386729354,23.885675618389577,24.384774297557936,20.760113284159903,19.10964109155291,20.452236777701664,22.92383334266634,23.283375392281236,25.683108339216282,21.87882887151367,24.999822023687777,20.91079447188607,21.68479517181234,26.059546775699328,28.40326283092361,27.3731105539768,22.853463458568108,24.492414300659114,26.47278069258988,22.048396344992668,20.147273773525466,24.532989595374723,26.724379531220883,29.11428294759139,30.16704060971487,30.679931706994125],[16.80984880775582,15.589649474284425,16.769612872667018,11.269865998557659,15.19452204250872,13.942701529022935,14.644185982129454,18.528408844587336,16.304087701869168,16.87256644164729,19.208032091697667,22.486246938783072,22.053767780559358,19.284870614958848,24.396368926944092,26.248039627389765,24.292245694667134,28.26203863617626,29.856568066578753,32.774991029753345,35.80061179650557,39.764648395318446,39.647377313523805,39.073197174616816,36.106522949939155,32.2827314502062,30.817658351975627,27.154348901985248,28.436176488824877,28.697155228796312,31.315280450082906,31.61061147673845,34.91801086435745,38.2734030045497,36.15419275193311,34.091771246719034,33.59820015223035,33.4646225234858,33.12943452231114,38.77756279035832,36.33596232082579,36.29489375242376,40.72719585056652,40.21966801169013,41.661971310942576,39.852537079663435,43.65397374529733,43.756610563746456,39.11741767305468,42.58963484217175,45.6578530117219,46.526913547972455,47.79556229193935,42.756619625295265,47.148289248702,49.908342406105234,46.001508210448264,45.432889808870904,50.33069810543517,50.090510178868236,46.02063971673694,47.01378363450236,45.07447802029075,46.348300827809325,44.111362975670765,40.77472849108893,37.15959558837896,34.431662351465334,31.243224793682874,29.19091727976231,27.988809183702223,30.149333600473575,32.37434397790751,35.699021463952946,35.62801762603848,41.908741762556964,40.99629568876618,43.98691977826441,43.12523344674988,44.203070717152215,42.63982986451947,42.054120876281175,40.33877591825329,40.810154924396116,37.703558086571796,36.32509125906863,37.89585924652838,38.856216773930456,38.00745666129721,41.11564645729495,38.342304021872316,40.91359295731111,37.534278513413895,35.85455832572801,31.161048740129434,31.270259233565234,26.95658059134982,30.281290059576474,28.1472989735331,30.396043892161526,31.81110648106543,31.47435000840079,32.96894470107043,31.47083145753204,34.497462203626284,30.045046270011976,33.2513313586263,32.13515649989519,28.363656224564,28.53539999013396,23.53907671247334,23.110230153683442,19.346029350271653,19.265335660205245,18.983402060885982,18.687221815011693,21.885144661800346,21.98822113625071,26.12509990667379,24.76473624960105,21.459724230349433,18.801037453230386,16.15705879966663,14.839939599826863,13.668837606469165,16.563158527231515,17.519801052069955,20.79057089754434,23.936096809059762,28.441806595811762,28.06394709582238,32.629988174913976,32.82658935264452,33.60944015296521,29.299255871381156,25.159822987391077,23.224491198600656,21.156993893122834,19.180901027144603,22.018773264721847,22.91989899998933,27.658791472613462,26.980942611921286,25.125526651927277,28.463373741897964,27.13313662131087,24.16949298793846,23.87865626706791,24.017247208659676,21.39836891680339,23.642484589870083,22.949578666753244,27.649452502972395,27.056609100350016,27.644036277340206,28.410238134896662,26.160748805828792,27.23373243021328,27.369872557370247,27.480026905034986,26.658951475118243,29.096183134653256,27.122067411107174,31.796606300480335,31.846372385224175,29.06266543316857,31.648607143963023,32.66167079885577,30.165074850862133,26.68479138974164,27.5649322462577,25.865704690578156,29.776551280063394,31.4395894131286,32.48855506718536,33.60827708683967,31.955966512763553,37.302056027432734,36.684166535006526,37.63190992591152,35.75369698062039,32.53230651951732,36.651738743824694,38.79115221635567,35.898011760512375,38.48639567434081,36.838081100696854,41.39409288844628,36.708179361305966,40.45264134752587,41.036767006208535,38.03328748984438,37.29088056879725,35.20482219861203,35.769563469476104,36.15531362743532,31.482860933656315,33.0307663686533,30.59725336412555,29.520120777281033,32.1685991740015,30.719898787370674,26.833123168687813,27.75049056984692,30.42528928787516,26.31023549168061,23.125616562597184,27.427139981984247,29.167987279895385,23.15158430859709,24.199820531652854,27.36596781022712,24.53579442555721,21.363656353159108,25.410759031956403,24.9548366714772,30.262420120267837,30.156800259146944,30.647177329395344,33.7768114969006,38.432015991641244,41.851854107416145,43.60583964476448,43.65543147164509,42.597503083768586,44.62598957706458,41.829119411878786,45.884671782308985,44.819982518876955,38.854559213634474,41.727376294623184,44.768984683657536,40.588794794939034,38.48580649937518,41.63435207080107,41.27416348921854,36.981059940142686,35.97687278567585,33.336091883184174,35.40037989076719,38.45355817860568,37.69685723288897,39.478500448775314,41.92223581128883,38.978379856687255,35.52162115030237,37.51884967610622,37.587344715224674,32.84803296094255,32.144700508713996,34.077025813598155,31.926263872625412,29.17574142985685,33.85520790307804,34.04767444515794,29.749798831177124,31.29766375490044,35.26665564409704,34.37327817642373,37.18440930328046,36.166519521292074,39.896783843571605,38.42308623732976,32.95583413197089,36.4973939690008,38.01785734503743,34.82468781332557,33.267250532858576,39.03513850395636,37.814284361311046,32.382161137770865,34.42490050553581,39.076605244423,35.426257077854316,32.706667692055674,28.64281023631657,32.41388790736459,29.48673539943176,29.19278139423708,24.076206317907513,24.099019537552543,19.882732311026444,19.194355902817236,21.031569833334213,24.10092933438271,24.539300569190722,26.24783136248617,22.25409275784033,25.360074030559907,21.0236630164193,20.767047326808132,24.689539054986888,26.545028809192967,25.1586997785807,21.002366766071212,22.196051661145162,23.544843773475364,19.255040491658526,17.243082095815783,21.407809364945592,23.098926109789947,25.44284811255796,26.654970539928797,27.10274332933618],[17.824562907771025,16.30584759805813,16.55362898515907,11.228898147119708,13.602589754515915,11.488809035366781,11.034594483097873,14.666384408599473,12.068309534452364,12.180417623362194,14.605294834708724,17.988118663276616,17.333173327221964,14.636509974455725,19.78056671050432,21.54474431863853,19.707374249059676,23.79575056904731,25.765301026223273,28.523112420203592,31.75830129114211,35.7171478378249,35.852771673157896,35.48641779855983,32.38508949704857,28.50913446884391,26.834710623722053,22.972250471062758,23.943023030767165,24.034063450046126,26.6780401945991,26.887518329620445,30.223787016522465,33.57871859530836,31.448880769807083,29.468923556661252,28.96064991784012,29.07102094354791,28.939074964686576,34.71540323405874,32.52937145109224,32.22261180040403,36.65312688459132,36.426751841088844,38.13001913519921,36.60013144310066,40.46322651055481,40.207386097003905,35.649223166696174,39.28012403601282,42.022894327618175,42.84283249837027,43.88410440311211,38.80455946052389,42.93955136421347,45.831032008929675,41.978610650758526,41.134505329245236,46.04380508366167,46.03627264588616,41.863747419915526,42.6997098162867,40.6462386308912,42.14437598322815,39.973674704285905,36.473760633294674,33.00363580413752,30.08173122792157,27.165938647318058,24.955745304284484,24.029712382230265,26.46390260812088,28.312346810192157,31.661283118137487,31.255863421978926,37.52980578278071,36.523331595254625,39.40634157964083,38.535759233958956,39.68698782735508,38.08265872919162,37.67187379775602,35.89336317102213,36.60100791845417,33.588898912843646,31.94307005347785,33.465930264055636,34.24674979031537,33.44592415788325,36.4433030514336,33.741264796452725,36.40698720699186,33.01085230778799,31.270626581213975,26.555517459520615,26.831852258711756,22.4990447509681,25.663323207310675,23.56691194300057,26.06797679054725,27.205240019871695,27.152763502120234,28.47805931707803,27.339003551139047,30.579272066280872,26.394393876981365,29.921421916572978,29.223926195649902,25.715618645375695,25.378289400858137,20.47194326100867,19.461629173592755,15.36302723566116,15.2806577444467,14.518353511386334,14.63052407889992,17.75352085403411,18.44470675409115,22.450392125030056,20.592685918007106,17.455382850367542,14.514422354424587,12.376275385802938,10.735942235282712,9.415286883234433,13.134504628160709,14.562547585565758,17.742944924558685,21.203241859444127,25.34714978684168,25.761900818847657,30.194460668327803,30.268843858545665,30.504797982742893,26.497990659898846,22.129929734288716,21.145591731961712,18.572434148200706,16.533176913455,18.839615186029217,20.235435924828074,24.771634159289015,23.515641995825316,21.496115660335185,24.628797139555935,22.88534203177668,20.003746820703338,19.449364457320257,19.72186722925765,17.03347195187329,19.653721155633228,18.90886987568867,23.8371166430919,23.601193933921316,23.667650127658867,24.181722096984323,21.703375008971395,22.968555866573382,22.831538964138325,23.336690924402888,22.667971642780714,24.831530805891397,23.362705400283396,27.900613005223512,28.515563676984005,26.284762669810995,29.039359590858396,30.554853505821235,28.315748155889544,24.591358635013556,25.121015991820478,22.913578887802277,26.363629276862913,27.679747718016216,28.40566661507318,29.406804917748627,27.49006253583999,32.89829946549115,32.43122247363332,33.52687431688105,31.965500826276564,28.818177283319564,33.25947343732915,35.58714199771944,32.676213943863026,34.973897249812424,33.15438982932155,37.96076681467164,33.640850118728665,37.50229551756871,38.3450061180993,35.14136224781264,34.786828299991605,32.83189240124466,33.51556750259887,34.25154625289345,29.70497200153353,31.333462553324033,29.289123300905942,27.678569661911308,30.791469480265686,28.94082788287352,25.06522032611146,26.825916003895635,29.4282401264707,25.141981464767166,22.78799917281403,27.21502417636028,28.49841939073219,22.879508147205442,24.563242419293992,27.674243124720523,24.557762831333925,22.12724942078995,26.589526900492416,26.131325020251232,31.193633267202824,31.43724941082679,31.273755264387137,34.32746295104213,38.81428662681757,42.427933761556915,43.84996265254165,43.35883182002932,42.021057784609646,43.67479714976739,40.49461401669898,44.623285499004695,44.03886436199609,37.944627782806876,40.41266653630613,43.83156599634695,39.928271070960925,37.46116316023455,40.46829873516325,40.74042178342724,36.578621792370015,34.86166115148973,32.34970809412763,33.56978167537079,36.719034823886034,36.08675684079227,37.41852520297737,39.920706714669635,36.56317410517638,33.45070530152715,35.79458437695155,35.43413491326423,30.6113386111478,30.553568401846327,32.48669059128751,30.25053822285878,27.954480494997778,32.87478488474086,33.04092407656508,28.956322578898,30.951686577390564,34.91386224862201,34.08143718703859,36.52542494553652,35.12334045274802,39.02546426692385,38.09455578855304,32.559622432848336,35.79679996676772,37.83608373149475,34.89541789231134,32.97139764203631,38.865810589328056,38.26301564539949,32.81194251661475,34.43383180961265,39.46497389580785,36.33601207124914,33.456394315942305,29.547203295819298,33.853471523594415,31.33622196544975,30.989574041232466,25.75647484113922,25.00010741564836,20.654724970364914,20.781979461409502,22.08164545908045,25.246084546565807,24.987701629663047,26.153961806353568,21.436169462979624,23.859862769095532,19.052499035993453,19.209179248843178,22.379129366077045,24.483305783761693,22.41989336126985,18.651230198893423,20.709917186128926,21.61265806535338,16.66646541653137,16.017231900460416,20.522617726749324,22.2818827451628,24.58238692899496,25.787055911069046,26.182255769489963],[13.836182676083755,12.713294069394294,13.648075103412612,9.195690680559718,12.635381768467857,8.986941942685444,9.903811558944156,13.154709777842276,10.979058007903745,12.829665731080414,15.098626228381704,17.643373956110246,18.18984186711753,16.25810400465731,21.11148091401876,22.77292952329984,21.74968994183877,26.12337885342115,28.767277843972316,31.200692856652086,34.7474786802865,38.61149802209449,39.08844201478043,38.86779133559824,35.59027043562601,31.782336543578754,29.73282378984673,25.684361901100488,26.089317419182397,25.448854482605203,28.186010704458788,27.658061479855498,30.814894966047667,34.62347386256482,32.6258681991431,31.17362433188041,30.192507778966796,31.136881303780804,31.143753061818835,36.77836193702633,35.14238555161772,34.923019743520214,39.26001573804447,39.28818875533817,41.320853580271155,39.914638531483575,43.75471518933481,43.16776383117896,38.540004409801234,42.006076774488086,44.58556697477928,45.12369167990795,46.09977198832091,41.04575562367269,44.85678997688287,48.12089263584856,44.51122758450505,43.325663959766764,48.24832107243808,48.66297997063593,44.5006446530139,45.16267276587863,42.89856349442756,44.8317940717635,42.76959427450096,39.00206541413353,35.822454067909085,32.56436064881497,30.065474227906826,27.44127677774346,26.904721540793766,29.365490094852696,30.813850670719297,34.42176677212353,33.489802122127784,39.69172792347105,38.67553518285418,41.16917246026084,40.31804869010439,41.59717206262629,39.59951112206072,39.332442066479686,36.988092539863274,37.85731294682497,35.182913294510314,33.45490087261413,35.369558343408556,35.57955451161597,35.32468794688087,37.84487399243757,35.41355905233114,38.096702839531154,34.47850658925245,32.30750461673084,27.570256607679028,27.653725618646366,23.32048651106022,25.943219814773016,23.39343521203166,24.982640366680407,27.008883270717813,26.28963566533996,28.45327434734229,26.804710372150065,30.451004004166826,26.042249010243193,29.23075470125596,28.673948507819375,24.803816177131004,24.355652081874616,19.405971369133738,19.405839869401284,15.288297410164095,16.446106980012594,16.346587707480445,17.305473715669716,20.624867022744787,21.90700166040445,25.959004079186542,23.556922630283744,20.713326689003686,17.449251076764536,15.890556369991327,13.572603686127337,11.039273113153016,14.57444706292551,14.058578389306138,17.94767977071204,21.02105206223805,25.389463396175348,25.836995909184772,30.11343714014139,30.838969052806032,30.85839310546827,27.38112523523683,23.165607284210914,22.085046549553137,20.37142951020477,19.0914011577374,21.471040647207015,23.689401501182893,28.20582275435097,26.772257192615122,24.385069344729164,27.247546958232427,25.081587133917004,22.17048947230715,20.823341448436288,20.356572225799976,17.00902577113133,18.656386169943865,17.37365945756058,21.878170419722302,21.007931905082803,21.855233949809662,22.87441639451142,21.080468763953736,22.220789311715333,22.99436116620037,23.37200095618849,23.72108858225915,26.36068189571974,25.528437396250546,29.85697302715106,30.553462147520214,28.75470211796169,30.999759485311472,32.79455982050897,30.18109026581326,26.692600570670333,26.81651526892253,24.803120908385388,27.941570039576828,28.9875039841912,29.54404309275654,29.991775987777906,28.23430491446526,33.35440424212937,33.443891633075395,34.22041841393734,33.176742160588894,29.374523224699704,34.03042850834337,36.605062643579586,33.99973073707903,36.747529487048965,35.270672598378205,40.213056907700334,36.13319930363966,39.81017711848937,40.43558190326188,37.0037561251098,36.331339101317816,34.05331299523518,34.341027201110236,34.70459520154456,29.974677245771055,31.037069088020747,28.567032509518857,26.652870830301527,29.226099580975962,27.04281567121036,23.402312775654234,25.039621907570307,27.113717870312257,22.597584638520534,20.6702307813026,24.698555407178645,25.413481966799033,19.751146232717797,21.542850804431993,24.311893123668227,20.8651419971591,18.65916664545233,23.237049324878363,23.23723554854036,27.886586949487935,29.013889962363017,28.697704392078,31.418588146625563,36.1508934103138,39.46673949691633,41.1844669034791,40.636776131177086,39.583024453364544,41.359450685871636,38.35600011548131,42.73268090521722,42.07131892065848,36.16795940702128,38.867514217677275,42.42374351019112,38.56643746033512,36.320235534037025,39.652100886014104,39.89778223807882,35.64053515131955,34.46271113797114,31.334505651260702,32.584399790533425,35.443603134314614,34.248426991571506,35.53094715388547,37.60116412827595,34.46008314448094,31.4419605687665,33.176716928505925,32.74605157155708,28.11981533987656,27.793380747429218,29.292554391423863,26.898026248417512,24.63637639089314,29.47372812124329,29.344738394356035,25.09175903371346,27.289052495287955,31.26405564606561,30.720212360713766,33.365944736760085,32.29675154374128,36.32656376114285,35.15103023607385,29.82761701131982,33.44835733530979,35.41477191311783,32.43064844505125,31.004475518191605,36.94666990543874,36.22710823144776,30.99369548516251,33.041915243403686,37.9687727229935,34.81020010538983,32.29207006749042,28.159464921713358,32.657631832897415,30.012859629558232,29.024469988708244,23.98883089018893,22.903345524325854,18.2688589902938,19.150025493594516,20.807130948254525,24.33677381397674,24.266975880122008,24.898564382009127,20.404517994627366,22.97506080851639,18.376567511357926,17.346518416425738,20.328018969054483,21.852533331877165,19.9050870494487,16.31117885003217,17.576763017622305,18.17594546586657,13.72687269965372,12.44634117858092,16.63871177891088,18.112034094184516,20.4134369425014,21.755067398443714,22.22420974925282],[15.804354796497165,15.230583036990742,16.05325171367337,12.845846086166148,15.11174418910441,9.63178720455472,9.567894643541852,11.09759812842113,7.70019262902108,10.223430032578154,11.528789369465162,13.607540241509975,15.408356760844194,13.63179625039615,17.863185187790005,19.7344547867663,19.706941186406755,24.02003342757839,27.3281220718535,29.672551437890196,33.420414533207634,37.34852766597594,38.11864531335996,38.3309999709542,35.05078931502861,31.135898552109857,29.020686612574572,24.733371875573415,24.308950145822486,23.071556235964934,25.071512620289912,24.43007332118941,27.122422820865474,31.175581504315637,29.624316831329473,28.681261152200555,27.802272326887486,29.596739408174006,30.149397848553086,35.94335931693643,34.78661287866181,33.9218850524763,38.19876961150984,38.762934736991085,41.08791642388255,40.14696579997366,44.02999189853902,43.00142557011311,38.631741874841694,42.33342417497754,44.36757144543029,44.84751884033798,45.398262361432145,40.340475937923706,43.55476527459696,47.022900735406814,43.51469827049327,41.74786709523774,46.618976092406854,47.459311785175984,43.03102573390363,43.17301852913844,40.55257022971998,42.79037505160875,41.09941436638644,37.14579148583083,33.947047986870516,30.33229985761725,28.13322821584395,24.96080813643775,24.81904667084093,27.16413717356633,28.154468671770065,32.10286611080695,30.738360071078752,36.80138623710813,36.11412874688886,38.19804587157258,37.67702879165143,39.35177785520085,37.37167947932302,37.68005980407382,35.093771745538206,36.57889940774938,34.23587233664002,31.907723887656253,33.63280253233103,33.20759199891923,32.979993746497705,34.7958922758949,32.35896696998475,34.77583906136711,30.96560657939566,28.5315601205454,23.878254229886057,23.602794444623527,19.36543566608436,21.94659004152279,19.402566559301484,20.812958833915477,23.504484157047308,23.258918034157382,25.85173471270877,24.816940624827105,29.219352892473534,25.277213890809417,28.704187065861742,28.90926803583983,25.294231952702955,24.00066002028322,19.371314300977676,19.110681863141576,14.558591894401838,16.40258478381545,15.441059702199402,17.344258763561577,20.08207262041794,22.21709574428205,25.452164272362847,22.268316817916364,19.796128341690697,16.40505757560547,16.276820326573965,13.975314017647346,11.32061383983593,15.719401862483,14.982863177767456,18.851723349500805,21.984925866970325,25.795885707480586,27.271150250108995,31.197521346353778,32.031971581349296,31.24818090552764,28.476567408539665,24.166214513759304,24.201826875748914,22.219304302883806,21.004772708995215,22.620973948985505,25.183030814627738,29.260286189897663,27.08850590120444,24.677933011716313,27.09424437852065,24.182736660731685,21.62563748798754,19.560174171820922,19.098522374376145,15.168169298329232,16.749363460036825,14.292860189178976,18.748211860468285,17.171677424712424,17.66609030127302,19.2291816180962,17.78881520334941,19.65578477006064,20.50257878349601,21.943832259590675,23.193577602712004,25.314290014644833,25.60644419097888,29.5209207212771,31.11643486863411,30.115569136596473,32.46911504091081,34.79049296862765,32.45908039887071,28.84217352948309,28.5486082029128,26.041070805000242,28.38903581668066,28.785400340295542,28.674268413425317,28.611996086200996,26.305658638007674,31.3319531030432,32.071879889137264,33.01748333089258,32.79087796838479,28.947298842527175,34.10823282642632,36.99505837110487,34.50381056973799,36.86355337560426,35.176666702371065,40.42483016256221,36.94260923382513,40.706539245061606,41.63372892023773,37.99175596829373,37.7473725575673,35.59112752549559,35.89750587466768,36.5117000738762,31.944671819727745,32.83481833513298,30.620193312498238,28.028776113050657,30.70843514749771,27.88174320376752,24.558130039047352,26.967409637364973,28.51472512044515,23.776564890600042,23.093510554771633,26.780547548419463,26.50884251987528,21.450482081878185,23.80152619894296,26.07343087869493,22.124174722863035,20.89335599853395,25.65230133219834,26.088372478554426,30.053360589117016,32.1331808707759,31.286727023120363,33.613106882279226,38.33322725671402,41.479451249203045,43.17573638693581,42.11336089592345,41.04599819107168,42.51676013411641,39.280753037743764,43.86708307968231,43.655445783959415,37.846675131484766,40.23923215985161,44.21831665465598,40.70449841118733,38.272659930378424,41.5872176212351,42.404124629393394,38.27515167494245,36.726249974516236,33.48599913082639,33.8452261913382,36.58190752894365,35.161720045037,35.82389677078168,37.552114421316155,34.07958955932526,31.69794053432555,33.28259359629398,32.16728920235305,27.741224327731025,28.056856159995526,28.996551186860138,26.311705284618522,24.83037899540371,29.715323021923002,29.125220828908265,24.998205111837812,27.968546256885514,31.84535292081292,31.743654652246892,34.17492137617555,33.05052885597948,37.31390596990377,36.4829670623659,31.407026964523006,34.968979470263335,37.329271607727904,34.58767683561845,33.23389973595401,39.20528153020783,38.91870233533489,33.9000152565636,35.82829929112479,40.91236088634293,38.14606782321179,35.740981183863184,31.67670669133119,36.500319807815075,34.04232710704006,32.70928877396078,27.835286049762157,26.169877792419424,21.45854995837148,23.156986923918886,24.646808619711933,28.281228851192793,27.864922022877334,27.862133616243703,23.041325587727226,24.927126695455364,20.150892537510316,18.912432787810417,20.573615188169036,21.800734917484505,18.8869930200176,16.433795997943793,18.000276571707882,17.363563663570762,12.733787453083103,13.113870853130171,16.83513892544341,17.580380573788986,19.602189867740098,21.023299304984768,21.25277801324272],[12.747575671490058,12.434544191704491,13.499061038642987,11.613893617518066,14.131276339979967,7.897985771852888,9.241459708838663,10.288263181223732,8.360576274251496,12.21120635099576,13.663119531372766,14.705860882803204,17.078598083991317,16.29341204370843,20.2086574833584,21.680971148847483,22.03654977507288,26.526643985853127,30.173741965694546,32.11176762754991,36.05628892742166,39.7765867284664,40.80991779381027,40.99802036503594,37.54803837917534,33.81712064663292,31.345600944290602,27.06538692378309,26.420676045581274,24.711010927602768,27.166307362694603,25.730425689430387,28.40484298335813,32.73227976095819,31.10622076283252,30.5193338315811,29.08763991849147,31.362344097581104,31.830424339343836,37.31824157824248,36.57989323375089,36.062457735520006,40.198638350757804,40.826481075048115,43.38215466160494,42.42671111717438,46.24104471421866,45.003212793002184,40.52157606998911,43.948360987919635,45.955801293425836,46.16187404857282,46.7735712261409,41.795842790016636,44.8460950185695,48.59988049871991,45.34785284546122,43.46090233604758,48.317018038047344,49.44281385863189,45.18396023884231,45.37443346495621,42.72772197471884,45.30883143229047,43.565232863775385,39.437649876818895,36.67321419961088,32.92239677624938,31.154801426717142,27.92674244640272,28.075462733191763,30.566309108840688,31.22137429561126,35.13356502501822,33.35797680488914,39.291551358655305,38.36604572836764,40.18497305263666,39.496570656096296,41.08696613748576,38.69182920374002,38.909966399606844,35.870842634714556,37.27961788044703,35.202690719247585,33.04317285420548,35.22196993035315,34.46727364379179,34.838731532693075,36.45154406556488,34.40326609637832,36.99246982629564,33.130448232605296,30.400718451913708,25.815390145618494,25.63253399865397,21.527719126960715,23.254040506069106,20.269552564686332,20.659919940346093,23.890897145748795,22.720777732904303,25.95087561388528,24.215122229977112,28.691845783010432,24.527113742254166,27.499678039944193,27.701327223806413,23.827890355199795,22.584024337622786,18.054230933182378,18.797457241963123,14.64089094658794,17.33005750146284,17.313438040933573,19.534684362644395,22.56442613226735,24.881901948186865,28.463246139009506,25.138853509029786,22.90932919891647,19.39067330409414,19.155005696702766,16.37930408474682,13.055994318835275,16.67345225978526,14.393636971480415,18.59919851872233,21.23014666815942,25.17551305982009,26.50755134766634,30.24101632330693,31.609931335404575,30.774140826308304,28.42033889905459,24.382368329106388,24.194375223635518,23.014961848886646,22.448963800201994,24.241999348303004,27.407294948152924,31.52934476582387,29.439003559982915,26.721878787731463,28.963562362961227,25.974782637066994,23.350612143982826,20.855953598583238,19.68595883737695,15.531368588174919,15.986623814115163,13.432504816188546,17.21878423239228,15.310850739187552,16.819038108898503,18.606623615291053,17.845755499556795,19.20229447543332,20.954146176465596,21.84988954073862,23.79083052629238,26.456424010991896,27.004445401230658,30.74595202320511,32.1467274860146,31.385603776390735,33.2205715054512,35.675677141550615,33.015515751594876,29.678460053548235,29.100018446963865,26.902232966482252,29.078349691450388,29.370802111267558,29.284165122948593,28.835257128855773,26.934008301876254,31.575642638288382,32.638035879204324,33.199856060162425,33.24845044211389,28.878001214933114,34.020789043750185,37.0249035506172,34.828648557886616,37.661864532027565,36.38566279375652,41.61839317986186,38.26009690423828,41.78549005979679,42.437155867723455,38.66425228388286,38.05952265577942,35.63042842322184,35.584121353800676,35.84288280045548,31.189869677057505,31.60233618405144,29.07795727420862,26.321131045802396,28.497171202719755,25.476944567697494,22.42399759750711,24.6749460108501,25.764646147950874,20.95264860899784,20.71996218915162,23.97438268828131,23.22710868500337,18.329553857884797,20.792571587458387,22.72935330451679,18.596295563166816,17.768766155770937,22.527998007201717,23.265616253506185,26.780087522790428,29.489349558295864,28.436997631009717,30.47062754769459,35.27037872470963,38.207904532738965,40.04790747419868,38.918591971688514,38.046519941528246,39.591073194538936,36.51989071077156,41.245231833580554,40.96831468076829,35.360868427452424,37.90912157443036,41.94304758186957,38.500677882475074,36.267532309448356,39.79845318566404,40.58225062426539,36.436033866296825,35.326449552166444,31.652402375283373,32.05689647699699,34.5221262225939,32.68115456941061,33.341101305621265,34.73832200720014,31.514199658355913,29.171900868407153,30.2599064352817,29.164659375442106,24.928009063962424,24.976666626207766,25.605284792462122,22.847438491882947,21.379094901273298,26.15795146224001,25.39980553316775,21.206241423671127,24.293804191856452,28.142520400056718,28.222290939513062,30.740977576376803,29.849431346898974,34.161012561711445,33.18623881985117,28.319949601930013,32.09557963406062,34.39837618100828,31.685190468908083,30.69445245619432,36.61896568148341,36.30234313723966,31.527877063278332,33.70289385762594,38.66103467569815,35.97454376804011,33.86341314790202,29.742352575955795,34.68352782803428,32.258581917121525,30.487767497882384,25.875807509709965,23.875263733908405,19.14481340904486,21.489064550534902,23.065120061250383,26.843357536667877,26.491265275546702,26.02005647287161,21.501796503908785,23.4113537442043,19.01303938797448,16.851721998890945,18.271825173953214,18.96121358263759,16.310875627939538,14.060831598513612,14.849002734145078,13.955216199515837,9.982639501440149,9.865168813080635,13.149042719164019,13.741272354537823,15.762782375095156,17.314355048421344,17.711950167813036],[14.497486030212732,15.112002671119177,16.877098795360336,15.557366156562363,18.251156822894213,11.815295564164382,12.89983791437275,12.845871808422094,10.330636485649151,14.190437947818168,14.572022379923919,15.083237271974491,18.62956827393329,17.69755921636169,20.918633690138744,22.701739922268164,23.779522671224942,28.013808862642417,31.895518855117114,33.95760272667505,37.89219668890254,41.72081224919131,42.80789848810681,43.26858303287546,39.93633701693412,36.08759553091424,33.77562777007343,29.415617055595668,28.320104080693216,26.319711828750986,27.871091458050763,26.566917067759512,28.63221335421732,33.10852999917276,32.02292046016029,31.84432366133233,30.65095142057023,33.44988447733293,34.29435585765357,39.88900096402601,39.33911876293562,38.335224277228576,42.442236796317864,43.375416507874455,45.992710164413644,45.2856435009448,49.129722098996425,47.74774401479981,43.45992096544804,47.064994050709515,48.786337411862064,49.0120522011204,49.36020928733005,44.39383549978215,47.060185823776116,50.873880380249894,47.64606644669241,45.39796703198941,50.18267343410556,51.527715317610145,47.04891401491873,46.810884624732644,43.89018533322521,46.5497909460305,45.156727185851466,41.0044206578009,38.033701908569924,34.11986354847395,32.354470108767075,28.748664450810594,28.99677261557967,31.111940302080193,31.66630935307102,35.893150241821566,34.02937062165277,39.79298932875048,39.346564814008545,40.83961577656989,40.55087082406745,42.5066023802807,40.24377085487121,40.93141948513552,37.78662724457972,39.634661257612514,37.78031911459122,35.22360786614841,37.15540541225824,35.95962749944132,36.21463052101445,37.18523255985467,35.03256426423814,37.18694123413824,33.18063564933428,30.299197631077583,25.93055753787625,25.16649232056998,21.32295434902044,23.21581984721417,20.395138573950472,20.356442483567058,24.504133754199476,23.746658534546327,27.42634132222912,26.16422343310281,31.12829617810802,27.311077283624023,30.269810165721005,30.884672519157583,27.126006753649666,25.49683102617711,21.290130910124937,22.03953664441186,17.823425465855074,20.68871451569337,20.079910962472013,22.56687372703152,25.15645848872864,27.723707560508018,30.674975354517432,27.050053820268907,24.93267758319583,21.535583371247586,21.977611503696373,19.513061939987484,16.474726372289574,20.454101159205138,18.235033563759494,22.35624088582542,24.917870483169736,28.590189735310776,30.285699634748205,33.82200419229882,35.30139420897983,34.12708259170391,32.12661010995653,28.092132206747635,28.237401427290376,26.945222081643387,26.262809912210592,27.797448867210772,30.82845240021104,34.781218706967444,32.39121701520569,29.810340198166035,31.880746649966557,28.55507215225965,26.19077284025558,23.437445606630565,22.375756110664323,18.00462214947416,18.261122572447185,14.737656264528121,17.931169783887658,14.692437874076074,16.312085588745383,19.0066354211502,18.88891044523852,20.835557028365635,22.691012102310186,24.350844449544702,26.8063687638661,29.070784071559878,30.172825247129243,33.6968152031874,35.54870900157657,35.05535844300918,36.99827683530252,39.586150232980934,37.039034993969196,33.649916332336105,32.99734163192695,30.624937541626696,32.494511904684664,32.47709132371507,32.010804499257986,31.238797031216883,28.971960821178328,33.45307833292991,34.99127489860222,35.65984544947871,36.21591941911893,31.866477076154062,37.22231193831565,40.36311570430266,38.24046350293829,40.842052551634005,39.41618856145759,44.77472188389295,41.68038441003133,45.269766421386024,46.072536789514636,42.246085269208756,41.82501242776957,39.44875762750009,39.389691199903375,39.684656959092656,35.09057353069356,35.34721175338019,32.81325442187066,29.8395411480296,31.792058446447857,28.489472387582634,25.755030162042864,28.07969756018165,28.71493447387197,23.88116140610963,24.164655691179412,26.985003068318452,25.59049025608963,21.0492810023825,23.51126933150487,24.92672923342085,20.520733893471707,20.101752429839404,24.662623715589383,25.906457421844117,28.84244133424921,32.33985894947776,31.259717504624092,32.91112437072011,37.83442587478004,40.38830335114432,42.499496778000534,41.263897572354466,40.62947324368728,42.15001941753637,39.166750187786626,44.03433369633605,43.85063522817087,38.46442238180565,41.00281409807667,45.16613701993191,41.86723630695451,39.72163641640381,43.327252088632115,44.210993492595755,40.09284061814461,39.11378743143251,35.26976726879788,35.436791460921846,37.711468816216836,35.56708698031565,35.93615704396478,36.89531678383198,33.69825753566137,31.780621822255377,32.39077835836018,30.917492635955632,27.065187962340207,27.239644917034003,27.19743808041708,24.22088935474651,23.266821161873043,27.77525064682185,26.46364259689605,22.25675941343665,25.815357007658076,29.510265207811393,30.08136774516945,32.68248501111973,32.09998925339842,36.48659202671211,35.41822592761632,30.926285502073775,34.878683336327846,37.15757424845759,34.503759246022,33.89236332382613,39.732963009992396,39.37444898032575,34.840867045307164,37.21250080339189,42.0436936735697,39.35671394795803,37.47145128161948,33.29536293363284,38.177500334290144,35.633046541190424,33.53531518489313,29.167230866862905,27.175193137282214,22.4518770074561,24.964301593629774,26.76655115305162,30.600098339073817,30.393362390867868,29.751329767886098,25.40156622376373,27.192927926944076,22.917113101593166,20.458916071230817,21.271338263497217,21.450765730140027,18.49984397061663,17.147808271080358,17.4574858217851,15.666566901855447,12.541338712099911,12.739774804810777,14.91210854530512,14.401841988922609,15.9527721540536,17.533014798592312,17.664330889612337],[12.265125273742434,13.316978655869027,15.264158427415135,15.479876052772477,18.14329338061366,11.727957782454656,13.778921355270194,13.301687254484568,12.290335642533728,16.773037764744394,17.430462199762786,17.165806316817694,20.884346851017302,20.768860318228217,23.80275223504051,25.161787893284938,26.445463504656082,30.822514271711952,34.94527193457087,36.61783047163001,40.71449527032926,44.32293877425872,45.648962230833,46.05245146071216,42.56208001276087,38.907257267548815,36.26671802841004,31.949610351217654,30.7262521362694,28.367018832140094,30.420983181541327,28.382263742644177,30.456956515138323,35.118873464939234,33.914466136567604,34.03123909858666,32.308308028025955,35.470766604464245,36.192972164132,41.44349119284719,41.27857040055443,40.649498979155425,44.6056296963585,45.56624518493016,48.38685872360145,47.64592809906467,51.41185791435485,49.8457149712314,45.45068468352682,48.76648482058085,50.47336389678908,50.42956827679821,50.8548374118544,45.993168120864354,48.51286968925448,52.58362163738438,49.61972289923732,47.297919668121075,52.05008455367887,53.65156309191934,49.37589319268479,49.22973498277732,46.32679399711061,49.29870102254303,47.820738936083444,43.52239377861796,40.997730562906085,36.99907689624247,35.63255668315801,32.05284862242422,32.53787165079051,34.83737560847271,35.102763875807035,39.228871049618235,37.00742710208783,42.635533898950165,41.902746750586424,43.16619488156685,42.67210107114211,44.494524243661445,41.829229422222525,42.382645762312464,38.83029072926555,40.55258593008059,38.96165302147556,36.624522432334594,38.992543541381366,37.53094543429346,38.37320292656504,39.209303758813014,37.46476152102137,39.820933386056666,35.82079488000037,32.708871562161775,28.445672706131262,27.867081343637533,24.186659830245922,25.21585518639904,22.042451272202378,20.99742752511117,25.49589698474917,23.779846116468274,27.9924480379858,26.027687642953538,30.934852077178874,26.975735069205484,29.387607954762593,29.988004795240215,26.067079829092258,24.5315091557826,20.61603448378566,22.30582903841222,18.645727619252234,22.086888840452623,22.301805968338382,24.964475190330088,27.817403194969906,30.489744819575673,33.80553998265909,30.114322025802107,28.186084760819096,24.679698354077793,24.933398417312592,22.092821047517525,18.60711876239666,21.856527354965838,18.450283994607968,22.661696280512093,24.65675774985246,28.346717131245452,29.861855786453997,33.125296692348606,35.11278146957771,33.910076534376884,32.34978229563576,28.65351991638388,28.588995286056694,28.046680538775234,27.939310227572445,29.617437386027188,33.14994456553725,37.134687667375445,34.85669986757735,32.01285342572819,33.929574242999635,30.60134305603632,28.18251286659197,25.135147475342563,23.473110415416567,19.091871627096975,18.291601648394465,14.922571328904528,17.1257948707778,13.629941085014838,16.40162447631542,19.167695327839475,19.732319601445187,21.05135286947005,23.717876146312665,24.761455921953278,27.775909967877823,30.52426866947933,31.798034255664795,35.13946799132111,36.76105069405245,36.47986634211106,37.91730207617582,40.60329472761981,37.76953892344077,34.682763446837235,33.77637576636865,31.728568724804028,33.42586493614798,33.32694910773337,32.91281456143931,31.7975917356119,29.989767660362237,34.025008021353116,35.83123959257603,36.10397424196886,36.89863708914875,32.1004608733934,37.345114463697165,40.5580847325255,38.74816205091173,41.79206778168051,40.78264956563544,46.07972757821168,43.11152890062643,46.44154206105851,46.964571244713525,43.0429815911216,42.26967287843515,39.65189280005344,39.247668548198575,39.187449793272194,34.579944831461546,34.34639544307878,31.548665628906384,28.462219226538156,29.819289111763602,26.36640813560216,24.041898830126275,26.13280292785738,26.200814562690198,21.437422520697005,22.291273965216966,24.480948247193965,22.484922372745576,18.376150218004362,20.881998686252178,21.77451906788225,17.238277928110143,17.45275814452844,21.817523513330123,23.42994036273782,25.687829693974237,29.91593884136454,28.60011245720623,29.848256531032973,34.78934067007202,37.05571283112943,39.312082415186204,37.9960723624784,37.599066686722665,39.17889468722403,36.416793300191294,41.39064606916222,41.144133485390974,36.05876230655381,38.72726385545192,42.90827011624365,39.73661111507881,37.833508497565596,41.61814487771868,42.468274464605706,38.393431759605825,37.8823302132329,33.64858490664434,33.84258952305564,35.77909261389904,33.1954365735799,33.539433394581835,34.08836211646026,31.22643075843515,29.412450934797505,29.407426770505616,27.95649559396303,24.441570828183604,24.306712425177984,23.815277877021135,20.78038080477325,19.942245188295672,24.183508669611143,22.61296651361177,18.39087567720677,22.11433624445815,25.69671690800036,26.536089108406202,29.202873884581912,28.927068839537206,33.311523908508875,32.09345307677313,27.95233686830552,32.08258929113739,34.268796016867434,31.701331513461593,31.525510100289818,37.2114265728989,36.839593663891755,32.664009460525655,35.256263096807245,39.88217703520919,37.33361198141567,35.80060281420668,31.64984008052263,36.5746593600177,34.121690850962366,31.57969783944326,27.613532675031923,25.29654040206429,20.74499607003695,23.867536492451812,25.684460440614295,29.55185845699068,29.40218490071901,28.274892559007707,24.37772048459446,26.110320020166775,22.378561949005643,19.103566146080023,19.534994348806293,19.027044691836625,16.51417103118843,15.614999658331616,14.908927116658726,12.707486639110394,10.976394306042954,10.649949652229022,11.633161143945918,10.57752710008771,11.916765991982954,13.648883037948877,13.998528984252772],[17.673041442205303,19.225682760867084,21.316050730176073,21.555028167829825,23.97273128558769,17.339676500396187,18.58291845032063,17.075736157307396,15.32576022937362,19.421293198303324,18.859118945532195,17.892631910164283,22.767367229208734,22.582918116625265,24.55719865494016,26.18162971278715,28.376062239071302,32.310048574660605,36.716592757638296,38.45295439179973,42.50415360752229,46.18479754608692,47.62267521740881,48.42438177420039,45.10429217967544,41.35264716651323,38.91576169851102,34.552209698498686,32.717987957525715,30.008308750444474,30.83342190748068,28.979282378932474,30.148930159827025,34.88637894842206,34.451188750719254,35.14357399002667,33.7723430095986,37.60216553155409,38.845609335399196,44.187903253979755,44.31156415793578,42.99510516835246,46.852061966385136,48.26445262600619,51.18506475333818,50.840040142782435,54.62101157581642,52.807139199373864,48.73880957640603,52.297104786009115,53.53935615783753,53.529691668982004,53.53989714963659,48.735518799858845,50.6587621839929,54.78406063687569,51.888507636246665,49.0504850550946,53.65060154919411,55.57725418121934,51.033158101956346,50.27642823503057,47.01973311508247,50.11505916159617,49.14145003881812,44.83693272473491,42.13799452385532,37.964411328536755,36.73179344443205,32.73803060547478,33.432003762049796,35.25720704182578,35.248885348640236,39.670613323855534,37.27391648841918,42.52887704526826,42.42260487197003,43.18144361308756,43.2353503867923,45.539422921797076,43.092385959444144,44.31547430806525,40.68498270560057,43.031896343386435,41.76367245743601,38.8716718652545,40.84467539671775,38.782216470076875,39.46401595998483,39.37939848168186,37.5673229328328,39.30863863617243,35.20711448343609,31.940150787478018,28.14034715616092,26.8508317372138,23.74481962875003,24.78763411394121,21.997213925067282,20.411238720307495,25.91304829531388,24.947800103339294,29.53377036926174,28.418985487402814,33.887566545643196,30.56960871203348,33.07036106764123,34.29926204739003,30.722330166917867,28.599797538938038,25.179856801206522,26.50780201410901,22.744180326488195,26.22971652484403,25.631912006942702,28.61655418837667,30.847958619273243,33.878485813571075,36.323280926852604,32.24924263188281,30.581418106180372,27.28869737091618,28.435084402646453,25.963647672448598,22.848222473210942,26.598755541660047,23.607376115782568,27.582923416078444,29.63068089863463,32.819155980324965,34.97468835986621,37.96171470407645,39.93260834714117,38.193666226827006,37.10046887584876,33.3659735462232,33.9397723825961,33.05008784794982,32.738721126803526,33.96958322074716,37.35731087622315,41.03511024931779,38.30031230990017,35.64737067336503,37.274652566183605,33.50756254076014,31.48871146163693,28.15906593883267,26.739377793408586,22.25399872562942,21.46104076028292,17.131070478981286,18.492363436485494,13.522218459086952,15.976392246727599,19.751571236046594,21.080289590715815,23.17566631532748,25.73322042030686,27.84891055069311,31.398822041799427,33.48787545383758,35.52908788585664,38.51863755031476,40.82879517303128,40.98378879930084,42.631697601411574,45.556532388232256,42.98302729219087,39.76488543888532,38.73814898294696,36.354682593105444,37.569285100211665,37.01308657589807,36.04450401633337,34.5366369203294,32.20098069515656,35.964388110912736,38.38354953968694,38.86174363524007,40.3582385539825,35.73924134854745,41.25936994574343,44.640940872468356,42.90393124632147,45.494620498192596,44.23095783713983,49.688790609003966,47.1651166986808,50.59757846856962,51.400605258051236,47.40826336969543,47.01261535549033,44.55436341780317,44.22454768309244,44.362157039486874,39.917563225785585,39.62136406446069,37.02074599763934,33.6170056975086,34.94231515385055,31.152565595755412,29.197566318878074,31.616048043334114,31.261109276565186,26.59607485667724,28.10091689252248,29.929551326162162,27.251272787780078,23.83786046751204,26.389343504393583,26.750140068283162,22.148960846763377,22.908914119788534,26.943632368447492,28.93896993081513,30.516636390891982,35.43989142565094,33.990960128258976,34.814921623658805,39.70364861835857,41.562715788349124,43.967423787400556,42.37059590573966,42.14028222275939,43.5153578713752,40.75042891694174,45.81535325525333,45.86225466392703,41.04574753948508,43.49855989658838,47.89414785154055,45.005932127494646,43.077897855905675,46.82086120133095,47.9759268362087,44.017487565134005,43.365733795377494,39.1142135000478,38.76527580617211,40.52462230737113,37.74052788795098,37.557066944879395,37.60652395581459,34.65352191354295,33.55254914885481,33.16544013538392,31.08982119134115,28.140508219489526,28.47610290606255,27.21353148706222,24.033612611973503,24.104275494917903,27.887598305945552,25.68935421579487,21.859478693378485,26.098476664090345,29.29238654824743,30.708417260770783,33.216914233818336,33.145702158434744,37.55352301705582,36.47641210997779,32.84208459836243,36.91761761194584,39.21255222328584,36.84878293163289,36.9140608625119,42.45101202387915,42.23319690902901,38.336250657711794,40.93158391565185,45.492367253769,43.10290113144888,41.7207131799526,37.611604741346454,42.52376155505228,40.05860856805803,37.31117936975182,33.55678395036574,31.199460618528015,26.735425157675405,29.933329303414148,31.80215810564004,35.66963301231526,35.492086789133175,34.187668745604505,30.253002080474584,31.65287435990124,27.89661364675581,24.721709696835575,24.325673527623508,23.48113038110061,20.428286068727083,20.657961006500102,20.04847961691791,16.949412389581767,15.78811539500341,16.477855781536647,16.63667988528918,14.582051382208533,15.190009980171629,16.566789980428876,16.30075401130697],[19.142216064137617,20.087861626099755,21.775918459652594,20.754165817716352,22.924380339846945,16.28365309139685,16.598972873458944,15.328007214674539,12.33557898818842,15.748731325789553,14.81260881477554,14.49495261150357,19.217052725332245,18.365810410437536,20.407520040719497,22.401857005411266,24.428813928880906,28.209248625254315,32.41425890885971,34.459773447253596,38.36505456789685,42.22204107498599,43.458954068609636,44.314616850322864,41.13726888393836,37.24053890734221,35.08810733402428,30.711472742474733,28.96809616129973,26.5891059892483,26.979902572405262,25.820642263152546,27.055914884424784,31.60607126675701,31.217972404247384,31.591885093560148,30.71629270258456,34.17673681701423,35.53059521532326,41.17246985896848,40.949622336095295,39.29094700062416,43.270401810484756,44.65807889518913,47.398599959350626,47.10455932205628,50.94130107351313,49.27685638606117,45.328586597156786,49.142736634189795,50.37956040472685,50.622762773653484,50.56118284397506,45.66766852482478,47.74139220188188,51.61179620790415,48.47020665654802,45.721998283650755,50.355499312073434,52.025350151243515,47.308455503994686,46.49919348028258,43.25181000189873,46.05703076908895,45.132386796557896,40.961657639966084,37.88879053596613,33.79447846044601,32.24336509921276,28.236246618072414,28.76041252565691,30.46934455084961,30.66319694674224,35.14978905270775,33.050870672289065,38.45781500736789,38.55682935578748,39.5735818069365,39.774427236676594,42.17006388457831,40.10317448771435,41.41868586258207,38.205636444977955,40.64594343684119,39.112201496366126,36.024980442708326,37.58541148541535,35.812700006876284,35.93430289549278,36.04773708597476,33.84722458615757,35.46340006976473,31.357773915391522,28.317241725904193,24.359605747910486,22.95474004108647,19.63130911901601,21.514035530597447,19.051336786386788,18.62424438068869,23.620446814813185,23.62084777641988,27.59116184634645,27.16002062147489,32.644841349109754,29.46006218222712,32.52966002509983,33.764908756438935,30.363762454850512,28.138325565124376,24.43083012629477,24.837723125052047,20.608176402044887,23.564171875958912,22.206554026153295,25.065689164211463,26.98141041838943,29.960572491257626,32.016563742842116,27.979285331868503,26.223253750934568,23.068365679644124,24.49763614192645,22.387168516117306,19.72933083215563,24.033527223088033,22.111685192861305,25.936188337235915,28.497838834018218,31.622005000333342,34.00125055832172,37.23568815672364,38.686913615337936,36.950767803183545,35.456003819287005,31.42202088204287,32.285170871399714,30.696268173180158,29.901345279434178,30.908757407459017,33.87349919088227,37.43515810286097,34.56740305714145,32.161317620205786,33.870939578591205,30.10065673920734,28.173689245643722,25.10596882498419,24.25257043952207,19.82174610740533,20.03148587524525,15.612416594016494,18.099549160350602,13.725524645327093,14.819449810967859,18.362953766996746,18.8922871593303,21.58319257620454,23.310351460781067,26.005669765186905,29.009131249194088,30.61263112579629,32.52999473169946,35.6415091748103,38.19115158711438,38.21101850573997,40.31801552947529,43.182293920723374,40.92091094534009,37.4329694208314,36.60505741889405,33.9015154869636,35.20972759180214,34.707345658603245,33.68223028410719,32.52435793479078,29.752506159458097,33.9740428261853,36.08343176086529,36.95475240756819,38.19704763039505,34.03792648162512,39.657460245236805,42.96286100414537,40.92381356706348,43.06235145400107,41.40241833781779,46.90800098711016,44.303314418020975,47.96629407192179,49.04888896535208,45.151174628575674,45.124772857556835,42.922065746794935,42.939621406975405,43.45900229110437,39.055074747650096,39.255872623436616,36.964898912746264,33.63175191299683,35.630031474127044,31.969354711706863,29.559142048060846,32.30780617984105,32.57591308694005,27.77704948463985,28.785619573378398,31.320362220822194,29.285840148211253,25.365066771042628,28.01357818157469,29.01620339245678,24.470363914391093,24.656389640587037,29.076520597556417,30.59716172786333,32.98925518659057,37.063562714362675,35.74045124126703,37.068767914199995,41.918297504640904,44.236262221489724,46.368183498001656,44.795258800946954,44.20796320593532,45.482191886184935,42.39554487010556,47.34981660453842,47.5049619919786,42.28998142374096,44.56637344479758,48.979047877231935,45.962537074169454,43.71965477674558,47.25201861428748,48.51229426211221,44.521059414304396,43.2884387742289,39.463198064141565,39.01603149763873,41.16135941350937,38.88879410183883,38.73999014311322,39.33619443054464,35.95515385174994,34.67731244476372,35.082953838912594,33.02211543039584,29.56744729560907,30.26348162051712,29.645736299294953,26.524975104528473,26.35628384594753,30.61901835335778,28.85440425840112,24.963794404201018,29.027624304134314,32.46198249720656,33.45483053902989,35.85049989162884,35.312706888235745,39.76795188966999,38.94171574527765,34.79550305043089,38.63855602719879,41.12498434551525,38.67894915456353,38.16588425032961,43.92084217642081,43.818405360912216,39.48829022038964,41.77050207297461,46.63092971123761,44.17500888323544,42.37208768555084,38.26556109590389,43.23795087049437,40.76641493396099,38.51455892767456,34.28414291672361,32.10866879572262,27.449864260739275,30.18077636101291,31.91812978417297,35.74941093557818,35.397830032470566,34.50170704378857,30.03667113332208,31.406024880608914,27.11143038001785,24.74296335076204,24.662302444428274,24.575050775873535,21.03785902218798,20.766601302304913,21.22909644677909,18.562760735690283,15.879724337003319,17.163427452144173,18.623935836000545,17.373307781819072,18.403871160670313,19.806127923139776,19.513360046548396],[18.374101995754007,18.84760896350038,19.806648362060102,19.18336860131757,20.577709274628273,13.850734136192084,13.95602334368211,12.103766917759211,9.718937710844902,13.645411600019361,13.026613377956124,12.140937052585173,16.874191884920766,16.810936109763837,18.847357338600382,20.39109717185123,22.493803538145542,26.479979202552762,30.932239433501216,32.58098486475447,36.66113357171497,40.314679349885694,41.778539528371695,42.58300520653707,39.23833468392861,35.5189545981238,33.04459303791344,28.684974307792668,26.82538141910222,24.18235167954121,25.226801541488648,23.444571629505383,24.9694914228727,29.64282993144842,28.941627682835463,29.401560633751114,28.098887456579888,31.749863177005164,33.010667665831996,38.44555135390751,38.494941213514664,37.10335344131071,40.97705856316414,42.389225748592004,45.31491123401245,45.034293684722954,48.81175840086111,46.961338844270095,42.95350448397269,46.59068542675546,47.771495979121056,47.84563424352911,47.81923840004429,42.97990914226149,44.992132936704444,49.02359971373873,46.04876549850641,43.28379856464021,47.92461608547093,49.74456128762755,45.19899540569291,44.55246179872513,41.38452958036695,44.442745545922214,43.34799196480596,39.038419647927526,36.40594499846526,32.24418710660643,31.10631384213458,27.205801984655846,28.001703991724856,30.112894267752505,29.960219596156254,34.23234592884687,31.770688913979846,37.166749965174276,36.820339330997115,37.790986681032294,37.685575633281076,39.88855411818513,37.51708942639196,38.66819362986846,35.2396969298358,37.58149296841226,36.16747487972761,33.20177753837631,35.06749130127965,33.20415819678517,33.745694142524066,33.98276220970799,32.1092096929029,34.11493559654258,30.0498891558281,26.86219570256144,22.801415592833514,21.88253019558139,18.467710584776857,19.562462997317752,16.687797307373607,15.91900431913387,20.80471708801484,20.29531974273672,24.40548423606021,23.682675746140447,29.16529502909588,25.98567765530661,28.98539804137647,30.326007787238535,27.018225484040215,24.652151723993406,21.11518635683253,21.635146244816546,17.603869306097305,20.893110884303162,19.934742837097936,23.056630844217825,25.105625971527292,28.302191438218244,30.641272496598845,26.480291569480972,24.966602043872108,21.666478440584587,23.101281381280312,20.650743939017115,17.684084295850152,21.63388311684655,19.30284803008734,23.006526557932244,25.398773186777948,28.335982045706807,30.91007742742487,33.970949696031596,35.519234769327625,33.618605068106,32.39911481493077,28.496724421653425,29.600679216300893,28.225295137923013,27.764112996676364,28.647155641635795,32.05214718024929,35.51504493143962,32.608942720137975,29.98931920813947,31.513787986178006,27.676258627854555,25.74243027247694,22.414862777959048,21.229605850867557,16.756132439048855,16.579301759562608,12.133184321011619,14.568097937753976,10.496595244106315,11.805188173886268,15.130088608632287,15.756320438639154,18.175905731722985,20.232389398265486,22.684361955630244,25.987008171814285,27.793043682107406,29.922656407706747,32.86762601739919,35.40579747364991,35.705857009937354,37.57181368379017,40.61011296182555,38.32663307876395,34.95382053815206,33.89682731441241,31.23025426278324,32.28237303767726,31.649684905960235,30.591072742705023,29.27337936115391,26.702889823260982,30.77849683236,32.965315971635896,33.675684042268834,35.04313820503077,30.72541852664397,36.35222936283811,39.71307016751126,37.80595820115881,40.07189252742279,38.60507676229831,44.10529239795651,41.66531532595686,45.192364020912365,46.195153909436314,42.22275899238831,42.152020655709414,39.913010096387964,39.84362556133055,40.363412604272526,36.05341417962917,36.15620919528212,33.99785526029248,30.48604702060512,32.56381140566892,28.786428317551746,26.469628823864763,29.50904397618526,29.72159940969659,24.959153784736216,26.37817559580376,28.89237790882669,26.73858765573944,23.141630207448934,26.051652751361928,27.090319194404664,22.601681526250065,23.16528332303486,27.699111240241404,29.02687880527734,31.368091927417982,35.33345366233309,33.67995695464614,35.023335023174354,39.66860957483537,42.170126627660736,44.01773173038039,42.20535318998073,41.43062705516545,42.52110441576297,39.27994964393506,44.20797413042488,44.55341386882698,39.31726431900034,41.40663297087515,45.924905908222634,43.052097398529014,40.69445041182238,44.15263654789284,45.64973774869257,41.76184663048464,40.31431670773527,36.53374730752892,35.765116806731406,37.890165639326526,35.67692235118794,35.38017108818683,36.04883081243592,32.532203082785,31.347323212371993,31.941180675843583,29.781346923447153,26.25798677405133,27.220889227875837,26.734887556150046,23.65548287983927,23.642846332382028,28.02818460509231,26.443657148934413,22.768331375317935,26.879500694370286,30.29411213563251,31.149840126975768,33.27682142439634,32.47122215307715,36.94423120341931,36.43014725054702,32.236096128407,35.834850737292314,38.548212411018824,36.26079179850639,35.530491926840156,41.26523131781101,41.47980938721504,37.18507331909042,39.21967943235447,44.19600641733537,42.040559262236435,40.18189130505162,36.22663700540894,41.39918878685844,39.1978006169074,37.00244653568514,32.76271443168421,30.231494814355166,25.682027497034902,28.722965754005866,30.13280017389144,33.913025239281716,33.254727359474956,32.075809687964224,27.479866955018473,28.50713791834079,24.27772613325036,21.9604988861685,21.431426239016027,21.3973228231134,17.637180782719764,17.670568339044934,18.474618882351187,15.644934894351223,12.791508101201558,14.893423609011261,16.46474912920987,15.536466691273352,16.626054902641346,18.0009463280893,17.747422040321794],[18.038588861049178,17.886685865113986,18.31974572711989,16.918348958683072,17.94897174874985,11.4131591468207,10.882623266591045,9.50413711023948,6.3589538116918,10.235550958576784,10.103506852128953,10.020063125464317,13.993244336175053,13.677636841601842,16.348639434048863,17.904899600687056,19.467025324277966,23.636136625572448,27.90236800614831,29.641826549726897,33.700517607928134,37.40007619292301,38.74084821128583,39.402959952124,36.028865149525416,32.28234843532316,29.81896683057286,25.44702601813554,23.88706999474441,21.560076257730763,23.048394593595475,21.501948618133476,23.544564411779223,28.057094256375127,26.98087160884801,26.995467008149205,25.76165814445718,28.923458424289823,30.013866794529207,35.575783208613345,35.34250681650282,34.07589486404973,38.05849837545121,39.275108438756355,42.0950733256571,41.6843538573816,45.489322297484804,43.788735175562124,39.69635723881845,43.36701973291923,44.72441611907738,44.907668844699685,45.01099634384161,40.09748552742033,42.4365969985602,46.32747973474195,43.20587320654428,40.701386867458545,45.43049474998229,46.99414777197434,42.48480468739025,42.09213138272236,39.093171328814876,41.9757348415928,40.66461576330854,36.4052789341624,33.70440885939228,29.65070556696515,28.33799444326828,24.639680082538167,25.293123450421355,27.638955951553147,27.660523190712944,31.787605273722402,29.514640456655133,35.15373470802412,34.57306832404435,35.905690142250315,35.593975856317456,37.60754114418202,35.31500032262647,36.20886567457973,33.02774275892481,35.14799902898951,33.45410492556854,30.618380291000427,32.45862621359734,31.016737537410712,31.365127616197196,32.15093834960839,30.141608702100825,32.41193775042249,28.41962657071405,25.43359216681855,21.07140960914537,20.538806548095607,16.72619585482864,18.1723910175794,15.279602629698122,15.498088217379983,19.444610736438854,19.12441556614894,22.652084489803524,21.954145068093112,27.185742310244713,23.844466575663628,27.150140513017515,28.26669549159218,24.98694430238536,22.766613926574326,18.912130478209654,18.92056905430977,14.606094278906465,17.577529821383603,16.49387103002157,19.49826616823703,21.660174360943465,24.752166435251517,27.30153324178187,23.276159616126613,21.631333215590466,18.248913073027804,19.50251306940553,17.021325302465282,14.104412912278281,18.227531265171905,16.451479525289372,20.08771419146669,22.78519057936279,25.81937196818526,28.3324121057454,31.609606613742802,32.847659483780355,31.12460219972444,29.51944672873728,25.456272096744044,26.56934018944596,24.89147499987633,24.253368882448477,25.1340702151997,28.44109228831818,31.952097233829157,29.121136125036845,26.51541579240645,28.18667803764521,24.496088343747495,22.429158573443196,19.32102461764334,18.351947932158502,13.91974976072348,14.449610965354816,10.448493739985377,14.041744803521823,11.331961147707052,11.856194928086856,14.325818779800704,14.00425795520905,16.398179407471783,17.96906556309643,20.291767582445726,23.05019610701269,24.862255935024173,26.636663903915256,29.79092784491926,32.20972334626782,32.307405645435395,34.342976752343,37.29399060189159,35.101322835716985,31.62270916594961,30.689577259620542,27.940381460616333,29.1965157272924,28.75682442917203,27.88310418620224,26.928272021554495,24.340727043165753,28.795830858521697,30.540522396542173,31.382848010137433,32.32539755123763,28.196345910582657,33.77724169765381,37.03422860682089,34.93371670710377,37.12479324934912,35.54705437440322,41.024433684862075,38.38259881562323,41.99587849946776,43.04725797613473,39.138260642456835,39.141410451767186,36.992922878465286,37.0964823135743,37.7794713393385,33.4652796018794,33.88439548967739,31.887854636688495,28.526673802463996,31.027545089590582,27.46959546834313,24.7911088669224,27.941520037749903,28.65817553192815,23.879786973990228,24.831977776575684,27.840198433813963,26.29551303852053,22.343035944984717,25.26558910355811,26.80552881284159,22.50131594915363,22.636573427444407,27.370746358542526,28.261190310686345,31.197100902020047,34.408471237401315,32.83632494291811,34.57234893610505,39.12722035517786,42.00238060845368,43.605701676929144,41.8768785572161,40.83521370164815,41.9039412557092,38.49214449391373,43.28545172882559,43.6160775823351,38.103841700089475,40.12049583008835,44.56183564112079,41.56037428348461,39.025287692067295,42.34104249694036,43.82471947323023,39.92089069453906,38.14561212473153,34.662925658666786,33.972489462893066,36.370725773133564,34.5544401410949,34.43938012009947,35.589370242425474,31.884816815955684,30.37878130386938,31.574045076460397,29.648010402817334,25.697234371338226,26.736039956154883,26.88421260735121,23.95700368506187,23.556522936446292,28.258287458211885,27.140320226280835,23.432797061129406,27.211010319229683,30.795731906742798,31.227217739656034,33.274896047200556,32.12729035460329,36.56467771672474,36.190183056709614,31.60555816791708,35.00509373832745,37.79464546654484,35.446906351794574,34.28260397210107,40.1297928778489,40.407448555810205,35.82519327819791,37.613383461074854,42.76310069054613,40.5845914924617,38.43959302801005,34.53846369634683,39.73396254715747,37.60377802073875,35.79134593088202,31.266106478460973,28.8291484497335,24.24831959439296,26.97697954026744,28.195288769913454,31.894257632068797,31.08154535597965,30.170678607633857,25.276501896855173,26.311632149473116,21.779290232712732,20.043077925129598,19.923878951954684,20.51331947757613,16.69091109664397,16.04445563514875,17.6138656579001,15.436125767391115,11.44845036129428,13.802368324672674,16.37471267848262,16.256143807350774,17.752564959091025,19.128135843347025,19.04147348932647],[14.537783021537928,13.966275248145916,13.884855627106134,13.37907023447824,14.167772720455122,7.436046858338623,8.118456009837217,7.101929614061339,6.5083366279847095,11.237063841178081,12.48717896799678,12.227116148152684,15.163077206149206,15.688207580523642,18.870188486389623,19.783247471402802,20.81588615657526,25.339060011121667,29.546350834531687,30.88294763052911,35.06968112277914,38.50159987721036,39.96650937441323,40.31912749662898,36.71581422406253,33.22513260695855,30.355689821415563,26.08897488457551,24.86865634684251,22.505042656746802,25.27201697939639,22.97087303491645,25.572863930183242,30.106833695288323,28.448081362572786,28.342747638572916,26.408055298892823,29.403776709771687,30.02236807634215,35.202929280792574,35.11269206582015,34.63392308563721,38.529480174920806,39.47262438362255,42.394148501275836,41.70431943741521,45.423942834358485,43.72544999082466,39.34208816347689,42.608070839128104,44.24582873532743,44.1784946189501,44.608363342147484,39.754297515910096,42.34551233094419,46.40760066988427,43.4773174368821,41.249164908211796,46.02430025430407,47.594527485834,43.44972747844672,43.523023775337926,40.78551234856643,43.833345229946346,42.14241128942242,37.79720445503028,35.61957549924151,31.66274636823706,30.62107429916073,27.293666161471993,27.984303079673424,30.73184307634549,30.703986343142297,34.48888883544471,32.06574700666592,37.73259064457186,36.52675594948996,37.96171283513897,37.13170141963608,38.704074245652215,35.93943294605432,36.27594995622368,32.8069372003725,34.40057348164896,32.723160968283295,30.45888057329669,32.93770761164522,31.67315965822568,32.64221206537691,33.89341777552525,32.31511334227986,35.103672866412815,31.250160598746668,28.226379098740324,23.793791290325327,23.880560008738552,20.02364584875712,20.61208160532482,17.256895058549897,16.848420547255717,20.318469869814937,18.58275125200973,22.28755332033081,20.366860687887556,25.174953132184857,21.258212370654157,24.113464714067668,24.83803564633353,21.197877800856254,19.367230823776293,15.32483561048518,16.33443900520109,12.49830479427357,16.045512481513803,16.385047460122422,19.290589288959126,22.14343148646636,25.04823869991855,28.50667178922355,24.750005697949383,23.106019100349197,19.534517799856363,19.92021752705235,16.826472553998563,13.179497572172517,16.28811746471854,13.127223738451843,17.085615319880702,19.353030775438317,22.75416012978861,24.789750322807237,28.055543005850588,29.69663318892924,28.255880344723323,26.70225696792857,22.894251874950875,23.485279161075265,22.615693342466777,22.61213992294567,23.91219837720306,27.77986333321047,31.520557713925292,29.094655377572565,26.128724935336614,27.859043875358843,24.48904798422516,22.092221886466312,18.934763683770875,17.21292193677767,12.84079664885619,12.359434496541297,9.338070844206056,12.68455027967052,10.973919741270512,12.742778137007456,14.434477098357007,14.199280416391934,15.331797772028462,17.734821995911,18.667908978418513,21.553057708184507,24.274996646654508,25.665542716511197,28.901864130539842,30.6704139986568,30.67576933753431,32.1623176026585,35.074098877243955,32.48561552206716,29.30831939667062,28.219345459172064,25.925178274375043,27.350488991074883,27.14084272269638,26.686464915821347,25.70211284823327,23.89753654078425,28.124240474126786,29.683374314245423,30.048104574330644,30.72994180439129,26.085346001341396,31.430750640475868,34.65845941931224,32.757269897314394,35.61297908000937,34.55094364926521,39.87669809710947,37.058033950361946,40.400958413711166,41.05480566735505,37.09256572230127,36.583212644230215,34.13539291174866,33.92732317142888,34.24164452291855,29.799619293432123,29.908994898047137,27.638017254862753,24.314545894630612,26.51643977698428,23.008531473183673,20.34647654566424,23.301393216631197,23.93537326279423,19.138324882523488,20.18190113276717,23.0712514156884,21.564568259757046,17.621494685829486,20.63492509188627,22.21131914532475,18.017302667034276,18.323717516807413,23.072989215819753,23.836169209050315,26.726936640964727,29.86997338663329,28.138135559751106,29.877828364725996,34.37134785006391,37.33372368479029,38.85602032931625,37.167992718999265,36.126332965371645,37.29287504041308,33.97784291452277,38.78267058195883,38.9592564702721,33.46737919325559,35.64373378090598,40.01342317243251,36.95785654203027,34.54913047544013,38.00211622096585,39.34993426021558,35.41707959371096,33.956592097264895,30.227150208567206,29.787148120708054,32.08464341387976,30.117518933459223,30.256229166155578,31.455345823824917,27.977488808849206,26.132987541576007,27.236865774324617,25.652902460676778,21.550898153727225,22.22976855261139,22.61740595302122,19.78686275909874,19.010229467152605,23.819381283775563,22.97951008910106,19.241284590082216,22.766031877870063,26.41841138756613,26.636967502809416,28.688262893640047,27.517136394598595,31.93163891930095,31.49417359854031,26.835782339377737,30.272545779538028,33.015379092689884,30.66369455775065,29.53917893435904,35.376586454158925,35.65366769574051,31.140820442156848,32.97867799242611,38.080553165483046,35.983096871164484,33.94172239332703,30.07865790596278,35.36225515785416,33.37726588249615,31.458969559126366,27.05619492128077,24.34879612286112,19.877929574532963,22.983896627588102,24.04807932893493,27.751649320877487,26.882313074795803,25.69220501468063,20.98727412426863,22.088231600271495,17.848393253762488,15.550545792777474,15.56728003331747,16.03688478594169,12.666743836078187,11.574908880029463,12.854182139653366,10.999037896247506,6.9249778277832785,9.147039993410052,11.903788373799097,12.39832848684856,14.207924121200174,15.633172497808166,15.918773366420755],[14.46463210575249,13.27198362189319,12.853111292047604,10.945342921110523,11.771562392568736,5.378723540309153,5.56066879077579,6.604475659064461,5.341617622527645,9.375777399120434,11.471652730848358,12.400001600602298,14.048377620563778,13.954880257785737,17.92511659283525,18.940683956182436,19.12578334605651,23.755970836970725,27.52606732285188,29.10371703455018,33.15841395962906,36.68715004859649,37.89384206925399,38.03608785397156,34.45600857120852,30.899284251880204,28.16127373284426,23.925469773834,23.258312057014834,21.47191497587201,24.57675542390822,22.782006189599173,25.811987998508243,30.062146604718883,28.0946788120453,27.424072741633648,25.707683470488597,27.93649390200121,28.292166274044156,33.63888869457427,33.06193825027183,32.75363106695918,36.80390679523418,37.4328949576166,40.12607572944717,39.20525332485816,42.96980915813096,41.57317935840649,37.06666369253614,40.38628409122468,42.33194170363173,42.44616584711797,43.07700329509579,38.131991069057435,41.18673100788678,45.00548210232763,41.85385696411404,40.006107767107984,44.86382144260776,46.04672547797053,41.93573983640952,42.29841846632468,39.77202541890982,42.4953060268929,40.58629277167644,36.38657039140994,34.00093225312527,30.261671935656807,28.85182736193151,25.822078884437992,26.194131838849877,29.049952086187538,29.394713003329308,33.022876965284034,31.00178701064467,36.899391679802534,35.56800234285221,37.432674480290345,36.45882549851766,37.83562180597509,35.267751805874795,35.29706723291773,32.21830786018611,33.496700113572885,31.426258571139904,29.38270700334261,31.75365550976639,31.07499092925047,31.691244178251907,33.55402708567599,31.741442762050593,34.672396316255366,30.932659536388087,28.219627401717226,23.58719853031547,23.919067698461525,19.791234942311604,20.96938895922319,17.83460125572257,18.443782314601187,20.9517522402711,19.566194633691552,22.483110564491305,20.618959784349833,24.943674415282494,20.786849632389796,23.93123007638506,24.202104888723095,20.514335731230556,19.11285050362047,14.573550902284842,14.981108994580904,10.783982738873958,13.666341768494387,13.996154898236313,16.456759039169842,19.588955248795138,22.12420934145714,25.922720654997306,22.527620421606052,20.574739880878166,16.97532161094735,16.782308635300733,13.661184695603874,10.006151216414162,13.355081743343609,10.995639967651707,15.044000254622073,17.769690168472977,21.510092772138865,23.174217460522573,26.83483951834284,28.07730566115051,27.062276011772347,24.81882546794666,20.77111894429257,21.031254163881393,19.78721027224551,19.459839181860296,21.001195198408066,24.590621931444954,28.540323201328192,26.359077613714646,23.4645754426085,25.530881505477414,22.50907400328295,19.87015059413529,17.229778780319542,15.87706068249768,11.773997568476045,12.345388760123118,10.36516656632065,14.614109669420156,13.932653337463716,14.96687749505424,15.94954960051918,14.738909797013983,15.753026304571872,17.42632326030988,18.037668871131075,19.956215260898865,22.73998511315408,23.401123842044985,27.031159739684483,28.480564117259245,27.993000605901,29.73293390240641,32.3969420460201,29.838912576606553,26.507180254837373,25.714283597346235,23.405454670605984,25.341227715294657,25.53864735300191,25.446734894373137,25.02347256302725,23.25622578103331,27.91034677556771,28.84714897362378,29.372676440252725,29.39116695063119,25.02535188506961,30.203963936610002,33.235958054287536,31.054089683357667,33.86909302244138,32.663753965432434,37.90923567438324,34.698509572980605,38.16641747809321,38.8423792599599,35.00530176074598,34.50176851020232,32.13100052099996,32.13645677035559,32.57704965914106,28.04803372420447,28.5803255165027,26.3825079867866,23.433939841300564,26.0485915727427,22.97554919231997,19.81871844711764,22.613066104399735,23.929222329328077,19.1852575418721,19.26491489371986,22.78000659253583,22.180585465190596,17.646534226229683,20.432099614383606,22.610609927982182,18.73235912708747,18.23861762392906,23.085899177875316,23.37808810184143,27.015851345464966,29.23573794850919,27.813109098966926,30.019318937571654,34.47998116806622,37.768360022507174,39.14859716481641,37.731414912955714,36.498659227105534,37.75995557240371,34.389058074368826,39.00603012202026,39.016256098078124,33.24858183169518,35.46846662252375,39.62973414994343,36.33011459887143,33.815423483163066,37.14727840749924,38.285675326901,34.271910237044246,32.60983308348707,29.20375007200883,29.146006496011086,31.761909859465504,30.242147292534174,30.73865508348458,32.450332780135,28.924539336093336,26.617332022364828,28.28182603454805,27.10609925796789,22.631164989304626,23.151503200558295,24.218593080209185,21.6226524148014,20.276802304593534,25.260599911774666,24.885882280915105,21.074979056829864,24.06740834647733,27.866168817320236,27.644987074245627,29.740538480467638,28.35044122956607,32.646160161135775,32.17203391626033,27.119473130101944,30.43231369194789,33.0829339828005,30.574601795723016,29.064283272800612,35.00780983153114,35.153660297910754,30.29293033230213,31.98045470917607,37.191928623835,34.891102068653616,32.54350748313121,28.667248366017198,33.85183900066279,31.812627905548595,30.34118893216492,25.607032206264172,23.233229238828237,18.69735095083498,21.198718728983874,22.192745561512982,25.82110075608685,24.946711827839373,24.276647923155206,19.31399747548831,20.711294449298464,16.08046080981723,14.514974924261594,15.548987062854916,16.770722699585463,13.75527956499596,11.443807119149923,13.404491240926196,12.721327065589833,7.7172535453338496,9.215970659518856,13.125790869282724,14.423554480921535,16.52875350064968,17.871666680168033,18.29629280709495],[16.115812396478965,14.290387649214157,13.29068441969847,9.80810213491081,10.098995030768918,5.66553527317698,4.276605058458226,7.55427702238463,6.0263568121949564,7.996464998616409,10.993788873068047,13.082235809416895,13.051602087867076,12.32455652796292,17.005057214162928,18.014397782353644,17.171788954779196,21.81215564031205,25.023364998164773,26.80357782947982,30.673648224178475,34.25488804038222,35.188936665276664,35.09283734613793,31.55409688636031,27.97109202943961,25.38443737780465,21.25138818216245,21.244469366212023,20.16993991547573,23.64704750047171,22.413891278421417,25.864583350453,29.711647622664305,27.407119268233807,26.11383209615899,24.657803524408767,25.973618929080864,26.023932296134568,31.49586298371513,30.38472102403606,30.26823053425172,34.44660691150997,34.73061366793475,37.168587144378996,36.0160795362486,39.80905942940522,38.72781268744367,34.12416055607149,37.497857838043174,39.74711812595468,40.0643281179219,40.894566035500134,35.88302693618183,39.41505359443509,42.93914456618654,39.56705659543564,38.147420742246936,43.05960225795721,43.81795444810948,39.7778025256285,40.46851183511046,38.206269401267555,40.570635031096046,38.41813229366295,34.40684590205667,31.864453639559354,28.417749465704173,26.672334970372436,24.072219201983394,24.115668279879703,27.115363428757128,27.8107825570557,31.159436425983017,29.569138549358165,35.63616619368131,34.124580351180064,36.44263607758743,35.29051376098276,36.41986518775009,34.08836706321154,33.776823185564346,31.17732353752093,32.10508763761518,29.620496017356906,27.83680796432086,30.048784622547146,30.035977170217286,30.267217067879592,32.80156535724433,30.789551405241376,33.882506533601806,30.341081656067104,28.01457579921083,23.27453968641484,23.944735889172858,19.669162209903458,21.330479578799828,18.532936535370755,20.149846766022428,21.529109926019707,20.574254853838926,22.529194259799503,20.850487959425568,24.551411820260633,20.316667892873596,23.760647661782606,23.605324241581503,20.070252443238207,19.09049798738607,14.291178773440615,13.76320415766574,9.404297422770778,11.088211564549491,11.33510910173906,13.13224845976374,16.549468961874783,18.623598423762378,22.805626310481905,19.88212937322943,17.644795508883384,14.093617631278292,13.15309294542251,10.005972009364674,6.447555667489231,10.120409764761678,9.345813549508293,13.088013089642612,16.333291433598255,20.228568676980153,21.5635519222894,25.572526037372064,26.25955650544489,25.66838040893041,22.69377182866454,18.408362942001325,18.441913831992636,16.60140954291517,15.817280093875473,17.54918198807341,20.793342774435597,24.921367109829326,23.00315730653708,20.21629725990935,22.63166246619287,20.059093007821524,17.198422176800573,15.276784831116979,14.470565153355494,11.018124898699488,12.80693727859747,12.029864483214299,16.824689398003795,17.125332646898926,17.433929014326296,17.65503557011933,15.512879816396705,16.358189306272976,17.109928860901796,17.386825520666747,18.088993706491483,20.813698219086955,20.630672938218968,24.648360044394007,25.770946363519528,24.767692543513323,26.837619981564025,29.238527374258656,26.812413131412264,23.285991457796065,22.833821590208792,20.453883686932887,22.908958731615428,23.54049067985256,23.8305384547186,24.058453031728874,22.342194514861717,27.37710820812837,27.604907643890378,28.33213597953491,27.625861677402696,23.708459654830307,28.638404121145197,31.420617427796905,28.927530697315945,31.59172995263617,30.201267794422826,35.3277993950051,31.734406239043075,35.33894424556472,36.08049003837163,32.40667164909175,31.99573735756214,29.786582827483084,30.08819909441555,30.75787188214242,26.243422230049852,27.312638315292208,25.360846031845632,22.843230176933414,25.976794692038016,23.412362238505693,19.83224574480321,22.52190940369253,24.562310704998346,20.053334111576124,19.21950290153959,23.32728054697236,23.65569155887693,18.824187496016343,21.334889245164135,24.071791614359665,20.655941557837615,19.50088648460762,24.286894994734354,24.015201491352947,28.33099488719359,29.474293965321955,28.325311372998762,30.996033683082164,35.27851502767038,38.921579738999334,40.04400796739219,38.83937375465625,37.345789931553824,38.60768128486076,35.13851307796834,39.4856672178355,39.414751641642134,33.39640702080284,35.531276746164494,39.46917438300128,35.99360288780061,33.31486059595873,36.40875919846284,37.41609236250956,33.40149535612521,31.361719595559844,28.465270750055787,28.66943974002843,31.6242705174207,30.684452507723545,31.462997494431683,33.72167331212237,30.10681168518031,27.438636917327518,29.758978508155952,28.929681714273187,24.16307978466455,24.674765096179172,26.410388126070842,24.098430089180134,22.362714803747345,27.420001012225658,27.51952874397883,23.804995014387654,26.277667103174075,30.12182463912968,29.453586829345664,31.45682079462742,29.76820497179557,33.879935649804246,33.50306257358551,28.120168750914978,31.13055590620156,33.73616626160066,31.161669657123173,29.15358237651791,35.11463012311172,35.237690039442086,30.061430196117964,31.43031384745826,36.75379630275658,34.355454489707725,31.640566690595172,27.87716028378057,32.91806032738585,30.93064157139156,30.05491596224922,25.01949033085229,23.012720343893594,18.617658180689602,20.33556885839919,21.08208613870695,24.484748173908514,23.492389476737618,23.412425214291677,18.181588100227668,19.712257177482368,14.731224575639777,14.36638880723782,16.24974959318819,18.25441859717241,15.576733521191443,12.413545953075408,15.136552677350034,15.436970299154984,10.046108290559932,11.148799651621193,15.693871717042338,17.60350297167941,19.824401383676534,20.99948333358134,21.472702039418344],[12.111012543826032,10.155652137573126,10.100494123207536,5.653905766982795,8.898865366514766,5.848286740439187,7.714801177498282,11.53702679929817,10.888432491119383,13.154333144888241,16.03416858720862,18.097828474527876,18.235239161664328,17.22365455265924,22.06973802518644,23.183285845708628,22.03544415394991,26.616654557801304,29.393180725856997,31.33807955165235,35.03176430058927,38.604017589289484,39.298632390280815,38.90940585314606,35.428073820768944,31.90265635423981,29.44657662479667,25.511484043829572,25.994045371883953,25.18419088884551,28.78512907089968,27.59401328381436,31.06216878385892,34.918309672189274,32.54912575753791,31.1307656453538,29.59790633939058,30.558117966138013,30.264096597544484,35.528785942483985,34.140432481813,34.50171194682239,38.69533084321448,38.60648871835712,40.806434707419385,39.27541567293351,43.01475755829365,42.30356217830324,37.50167714598681,40.619342635778736,43.31040919998913,43.60956357696892,44.77784431516065,39.81078922936264,43.69432672147287,47.127917157091034,43.73681588635979,42.672897580607675,47.59344289185134,48.115232789084615,44.25119329433929,45.20636943086147,43.10367613184311,45.27667486066535,42.970580768241746,39.09299117614319,36.46100657190101,33.21123949848883,31.155427042639577,28.740851772600717,28.45237582353792,31.27708935029775,32.40355527002466,35.73804682827798,34.47804886450466,40.61089163754565,39.09513876504393,41.55130858381004,40.32084601187854,41.292258778358566,38.909905959861774,38.28373805115818,35.701498859219804,36.22660014736088,33.633045578052496,32.301367040821944,34.69248842361689,34.92974228476031,35.2097360362465,37.94749700817189,35.9160604170053,38.98927849190106,35.45721654920873,33.17442860050086,28.428407068536593,28.94746142665635,24.639261256089792,26.47526305426053,23.60612401921268,24.790187610519837,26.50102221827733,24.983699476264427,27.158809090630808,24.805615361862742,28.059342133217275,23.363631541231147,26.227742912969244,25.381512803138328,21.348659310370643,21.243231448557985,16.251553202567237,16.830401833614236,13.235134003267541,14.708124588617764,15.787667640383683,16.80324307952104,20.56048789618183,21.875690820000003,26.538876304171957,24.189840869802783,21.60770293642905,18.235756659230475,16.293011090999943,13.381809767349404,10.185651403708194,12.55473546871325,10.926791747924383,14.984803182722619,17.734126773006743,22.327308748369923,22.42648661608505,26.68297576371348,27.666646889412526,27.862891028077748,24.46392834968488,20.473954114660152,19.03333708671668,18.019054137991404,17.40986210405427,20.0381856372061,22.918666323282643,27.47958629623367,26.27201515242681,23.549719463823685,26.306965883142787,24.316055573607244,21.246402344782105,19.78451356978578,18.76816935208807,15.632861366239675,16.701376442536258,16.217544941226535,20.462405175815586,20.309359412848277,21.537273260946353,22.071071559038888,20.322905604967016,20.71061301846315,21.911915295453788,21.384218567322158,21.791066342980077,25.04418255258625,24.064012582464432,28.3311498802256,28.59762543481444,26.87778959855725,28.6255932264188,30.482049618364783,27.568655562691287,24.334908598991923,24.24483419162299,22.579856509194638,25.737364271881923,26.894692999945867,27.713009743063793,28.10916155799925,26.90703496958927,31.78033737801195,31.771936028031103,32.205653046652834,31.032741619805808,26.907149847630034,31.35643638853282,33.90786355605205,31.48165576717098,34.69464933442237,33.63216352105762,38.46153957241348,34.37359967845539,37.80239323894039,38.13601527940092,34.63702665635713,33.60878108142075,31.115655793043867,31.169583742162253,31.2960766655187,26.49450171762864,27.36248086270847,24.761086789382123,22.89012419196852,25.367051825740525,23.30636676374405,19.619473786713915,21.15022083510012,23.3216058802296,18.88627217361898,16.84803211330003,20.98059356202298,21.93212946227763,16.30416514846524,18.172055992220937,21.13640650798275,17.951461131209992,15.814945512054441,20.447184411093456,20.141529161369128,24.881605523762307,25.734204224977713,25.191315342020705,28.01215200253683,32.588494041254386,36.08770695037659,37.59246411643325,36.99418671406842,35.83074818839826,37.58948859127918,34.58897949772006,38.9082009021685,38.21832678325038,32.291144870275446,35.009653315771594,38.532724893371835,34.674219987668984,32.43974614348701,35.815107975514444,36.05859049711614,31.80322225680276,30.703987905492234,27.466409358931646,28.82161907272007,31.649291675764573,30.470841764600742,31.908153404783274,34.09879503345148,31.082459321869784,27.849756133382336,29.686406773016564,29.515958588916146,24.81083121564106,24.31497037634521,26.1384365188905,23.94955187586715,21.431153226885932,26.291035475799116,26.50189275000302,22.427688931705497,24.29242368711155,28.253061813025578,27.440370682872242,29.948113481908035,28.72404783574222,32.678015054188094,31.60335258419401,26.172614649592322,29.662964920831115,31.675622685722487,28.74084041591231,27.163405495572626,33.11468585141406,32.53016742272697,27.282032185919196,29.227264932851984,34.22427940921742,31.234175121118504,28.694896697694457,24.623021947535484,29.33822851061256,26.924888615070927,25.941283830415426,20.877145475264463,19.43137485730068,14.852359745806307,16.08304083403915,17.431547127716478,21.004057228969806,20.708424523257328,21.099365213057684,16.566125246249523,19.171914445540978,14.717577193862088,13.517178000766785,16.840273254741533,18.494186340205697,17.042774996841906,12.966052207332542,14.268898630730964,15.514117700016964,11.177363847589112,9.46905270848044,14.02901041673888,16.209918001200542,18.615855060833894,19.828270318734464,20.517375922629633],[16.66858492657594,14.244901972940365,13.451070419868984,7.622975803517202,9.572154058770792,10.351429772458761,10.60994580478418,15.116611375472658,14.290494635667466,14.612905706636365,17.86146647149625,20.833395289092095,19.343386769693062,17.64889434690204,22.86344626968266,23.929780213035286,21.54442919541023,25.77454767739058,27.493238322860414,29.703280539484428,32.93295220520059,36.4800619222947,36.67991333066776,35.88044792098482,32.589915435060654,29.155040881613225,27.101835572671348,23.601732228776182,25.112457012542997,25.3500680377108,29.204729588627174,28.783686723993362,32.61280796749742,35.86908811861882,33.157499883820314,30.972119941863163,29.85805703085531,29.487235166713003,28.7164914260003,33.93350980853621,31.718310833171017,32.429116444819144,36.68866580737202,36.00901349800715,37.693713133105554,35.74444356040056,39.44772285843162,39.34090206449702,34.46477198029683,37.55691067419447,40.74783544238564,41.35806945600457,42.85267549443844,37.9116780568127,42.45496104777568,45.36461230143648,41.70484800812784,41.347214234361026,46.24448061697245,46.09315246903115,42.42514515771163,43.865487367491745,42.20072392035253,43.772885152024834,41.150937632862124,37.67524500623078,34.85364991765322,32.17413855406172,29.647819971480157,27.98123376197126,27.17127008612126,30.015548167501514,31.68119150823104,34.511569455649465,33.96406309915703,40.15977139068286,38.461742461295856,41.49485216085465,40.0597288118159,40.66022771780896,38.672097722957176,37.56517084986527,35.7296632769618,35.71644052974867,32.60455944285144,31.74474569745853,33.833147107314076,35.002426073218906,34.73973673472512,38.30825899854164,36.05074228269882,39.23395127466632,36.04782266990409,34.322662711159936,29.605547922198944,30.47056185759049,26.166123445931042,28.508704779571342,26.109298280228586,28.274611367629245,28.80552727762049,27.810121528485844,28.861987285205466,26.800621578504934,29.143284797443492,24.539082840172416,27.59244493972899,26.156969591956035,22.5178391553173,23.039796178112233,18.1347006367093,17.624561823184287,14.523337842063308,14.101765033303447,15.081910618641682,14.609574287121069,18.440880375046913,18.580008836259292,23.68471762494396,22.39305993597346,19.48665227180235,16.64234539969587,13.3436103753567,11.138362444902258,9.451788580332035,10.872498401800343,11.889612125410318,14.765322911338705,17.822652451233132,22.36276188935552,21.7355852260883,26.335585351395117,26.456997656497514,27.427722962428714,23.001100918014558,18.9856624439575,16.838722483598367,15.05893254189606,13.62354442671147,16.77019517633759,18.58632821329318,23.41336611052107,22.95130960269372,20.628807365952703,23.878961212280995,22.85591729231728,19.675342406059876,19.504885120780624,19.279425181020155,17.289177223721246,19.408769793612926,19.94464960294608,24.575115661096,25.261937378312314,25.782958559433883,25.63629147719548,23.07198842890883,23.29699115240486,23.465767714658433,22.54676593684589,21.30057381284727,24.30201996384648,21.952709217163136,26.621761861361257,26.17983379750895,23.461469027014523,25.6428489057624,26.811650439370716,24.107274957456276,20.722496653449802,21.39786046642233,19.920952453968965,23.929324211210446,25.794856344859294,27.204148233667432,28.488584988980215,27.451433826811012,32.599247592692954,31.630657317943765,32.29835006954296,30.085686685680315,26.77191096201501,30.59477545868715,32.64311420542849,29.830541948245315,32.784031848564005,31.52057794483277,35.96431835559575,31.26590640047315,34.790816617058304,35.14450455046547,32.0527303904085,31.085419568874887,28.886038232698166,29.38223371563406,29.779868997082893,25.134547515005128,26.80452372989057,24.614695254503623,23.60847736172441,26.639337295533903,25.433187038311267,21.396005073301875,22.555248398280394,25.64723389789708,21.805319055994826,18.56366459023414,23.24837892104836,25.43462379623885,19.804305628695282,21.105960594655823,24.64054552769064,22.259724759186057,19.445170869303574,23.59337213965706,22.47253502518157,27.961381849623432,27.127733043792535,27.102663488322822,30.500926190531175,34.685183273019575,38.579774788597646,39.72347186050199,39.48961041924788,37.999793337157186,39.753816936109956,36.711534283185344,40.55420450727061,39.70992490978647,33.57680845886963,36.14892997482063,39.21420948148546,35.1406802235911,32.76993381346253,35.717805367659594,35.64298862736981,31.46623388538692,29.93365125849178,27.584178463041262,29.432850011054075,32.64353853669267,32.30591112530851,34.12544272049089,36.98050688659074,33.934315789727044,30.31653623662762,32.92348706501918,33.188685622372724,28.26806359953516,27.780868805280626,30.342121208313166,28.53189022452243,25.692581277159462,30.46657343805802,31.229851557150436,27.39842447480037,28.60832376774696,32.49327788794277,31.136631320572057,33.45614459207599,31.890412895025626,35.48011943380031,34.535668099161754,28.83497894082754,31.798262192142925,33.638220492066,30.67639563484723,28.45641312206982,34.22576186692256,33.54743763015775,27.974253258103033,29.40711928029175,34.386387262420435,31.23700908655392,28.184950643348156,24.42006270490342,28.635221120838786,26.31574526323768,26.401099924620155,21.07579044878804,20.474018143112797,16.55496127936049,16.12725116723805,17.01221994993552,19.933147180720947,19.598470420427414,21.13398016247114,16.65494336927994,19.442521718691985,15.02515099451258,15.649485850635077,19.759336747753498,22.191220679870423,21.10414393003908,16.56731211371858,18.585645791231975,20.6184138844308,16.064880947259347,14.62013856303044,19.281049409237145,21.875344410157037,24.264412990853224,25.252271632666474,25.887464805648555],[14.04459580754729,12.192880630144423,12.909735878526543,7.281329940962064,11.685985497944468,11.566877530506837,13.088169910728169,17.33416898304399,16.276733249554578,17.442048950887738,20.31749507926755,23.128220773680866,22.542200814497697,20.62898157923226,25.80050270014807,27.176214182961633,25.198714721304377,29.45641823246006,31.286693941631746,33.70817661059375,36.93486225701963,40.613024873454286,40.74706481233545,40.00316327915492,36.79452683383179,33.2463906393456,31.32242046908603,27.729413602348927,29.045597069610814,29.062963733878576,32.5192013891664,32.097304670828784,35.68306941045974,39.1776423654709,36.71786536214934,34.745318263502256,33.66394335109494,33.62821296639359,32.99321140438858,38.2652382306022,36.09701889309983,36.68248874425558,40.9791164191448,40.35345581786023,41.99086755134299,40.027641827212264,43.729387513540374,43.700879105317625,38.84301751691701,41.92606182134595,45.14410341142961,45.739663830264384,47.23007604838767,42.27756601558358,46.743291796925206,49.71226861899084,46.042863999461616,45.58043542785979,50.490440938747824,50.39065136889566,46.624022184922765,47.90460725346738,46.09627923540894,47.663229330753566,45.18352326736219,41.694355052670474,38.6378641591154,35.854751024364745,33.128930299924214,31.18832693019855,30.27906516499694,32.826773982008035,34.6892292789684,37.82245485947206,37.35179961389018,43.597071377966984,42.196683069162816,45.11276663953604,43.88220246870433,44.67507132512942,42.68022342140288,41.74061722739523,39.72744441163224,39.85193048634285,36.84561444421047,35.87611170736284,37.96928113486302,38.902643284393186,38.63690036393076,41.907940667450546,39.538020674854714,42.497355222552166,39.138568074939215,37.26718357176314,32.51631956825618,32.982457413449154,28.630113682448126,31.207201680650563,28.69427667595636,30.450075764429393,31.752632638504487,30.595484505579805,32.218275965110266,29.984917015550536,32.63688284711826,27.877712355897813,30.670336467011623,29.20156125616498,25.23277710421787,25.845495901216566,20.8671952523242,21.107354270584544,17.889804012262022,18.118451297334378,18.993951798373008,18.801669971682507,22.51429858813642,22.694138675288276,27.528823294755824,26.136592013121696,23.07965953025526,20.20107300847453,17.198032492612697,15.168562745263833,13.261262952052766,15.042252858893374,14.956438564045865,18.315697516314465,21.044532462968327,25.823788143292226,24.904230271429277,29.461906649090018,29.97801873906807,31.048258063873345,26.783188023088776,22.928008796639478,20.380033602574,19.166499133698654,17.910922003194123,21.148234859485306,22.7725666958598,27.635003370150002,27.230297220659395,24.98643040616175,28.242578824298295,27.07285154549503,23.917394961242458,23.467864122332934,23.034146351362594,20.55468457041318,22.185738729828977,22.099524567627476,26.490927704040445,26.35708967619801,27.43282732536111,27.895610869696505,25.791790219895983,26.191838962722194,26.826560348827787,26.06927761539573,25.348734047744415,28.452144349994022,26.314597342027355,30.951868586894044,30.488585961298707,27.71186318771471,29.71821047491369,30.72298400770909,27.80464435473782,24.642470101507836,25.35625756939986,24.12784903619896,28.14057120499883,29.957615955311393,31.299014858183217,32.33715682326097,31.25550685679614,36.33690242222871,35.663569933934085,36.22694904377363,34.22056967567562,30.622978742213142,34.48711392437641,36.584617576535834,33.900388059877734,37.0539511727902,35.882610067142686,40.3120033786124,35.573190114355256,39.02955151265127,39.243620110306836,36.17794808012015,34.96063546202166,32.59373378039332,32.863663685832464,32.897412207737304,28.107311485176808,29.409305307933458,26.72077533826812,25.847630763080804,28.22393700216341,27.01660802873214,23.140904223855916,23.660866633610613,26.416034737763322,22.48279268010788,18.923942768134708,23.245814637395974,25.332711324300636,19.28571053980436,20.154046485542437,23.501539874001764,21.020606507860474,17.67252343856152,21.63347634895412,20.887717196507452,26.362837296342548,25.919737963487442,26.3813818285873,29.61645659880394,34.17686234229627,37.705999755238096,39.35437130899741,39.49076728605625,38.423289031141465,40.53490140881453,37.86683210742785,41.848754300443,40.63023949576592,34.70937643278671,37.714150912905524,40.62456428887413,36.38311650182289,34.41089087455364,37.65640524990299,37.12369502844251,32.7874975747496,32.09819199666826,29.280770141363966,31.685166757512985,34.647478989722,33.84410880807864,35.87722027916752,38.36925245830967,35.68544162856537,31.978285117433835,33.922166949499044,34.33650156076622,29.612427305106404,28.571039350394834,30.750845416901587,28.822225645810313,25.753632382784303,30.323735617735224,30.812857792926298,26.647816225779753,27.7629333811474,31.692949995782634,30.553438658231148,33.332240419851544,32.303592901711156,35.8964219892645,34.36174679491553,28.851945343932904,32.35739108552661,33.7634266496182,30.550415699411765,28.984043192306295,34.71498500939209,33.44764720806627,28.009247822822054,30.102314290836652,34.71882482989973,31.080653988790186,28.39346231167326,24.299719174508496,28.187143277051383,25.346262489728822,25.02300659002621,19.846373245456114,19.761036802979852,15.618557297911218,14.925168516239683,16.696795597923952,19.85222725874538,20.308566879920967,21.96441091475608,18.204235489458874,21.57503300499358,17.587746287924652,17.085255265751357,21.47816216330218,23.318774820134944,22.573788658462302,18.032640905255523,18.92700759876832,20.899946010092666,17.02446398736208,14.326115722513666,18.510277080070658,20.709794902565775,23.118485420398077,24.220667055621355,24.859491547215892],[15.766127166168834,14.086748438976622,15.133760241164827,9.802000711386118,14.267263542143116,15.137997457114647,16.728324091735356,21.064852509716523,20.015505919941234,20.901791259264723,23.749448687442058,26.752093058668798,25.92686528041885,23.75375904388041,28.975360571008416,30.416995511533468,28.116597284505247,32.18542661986367,33.54472230541218,36.13307897667022,39.10075213463341,42.76973176279105,42.62477983261217,41.671224170440176,38.62636639027605,35.14365964510013,33.48316686881706,30.1305233872303,31.828993394504003,32.19333170518519,35.62016293985063,35.47389022117208,39.10837541387131,42.44447114049858,39.932830800149944,37.73305937365002,36.805617558982206,36.31948025997982,35.48942147974181,40.65925678089932,38.14356935688043,38.91826489666558,43.21182680610315,42.28887623760607,43.62084006523965,41.41018875287499,45.03806851667044,45.38512974153214,40.5124608152087,43.49198572758545,46.996895632998005,47.71015655722856,49.39650765940149,44.49977806572788,49.25121020509201,51.98653927865968,48.222097330268916,48.09261816146035,52.97059187386984,52.55758572660086,48.900556777083736,50.37557612564599,48.73993839337725,50.01350294644782,47.434816603097566,44.1591828690915,40.95985747335271,38.43382763851937,35.43467238175148,33.75861009755746,32.57033473083278,34.9536260986575,37.152237785280064,40.14582349495512,40.04887128219707,46.30118244742626,44.932857608257166,48.049331051643705,46.7940117429205,47.46827314902559,45.624989118127615,44.495208819923064,42.729678616317685,42.61170083218654,39.442128957376255,38.71347902302871,40.71058067475559,41.965128175716686,41.50499517617392,45.020507634142554,42.538571583276976,45.4516969980386,42.19145045311275,40.5002342387785,35.77283161054875,36.221156066646934,31.881870078923534,34.70155556275993,32.307266823187575,34.204277840552685,35.370942445166214,34.25597623689113,35.68806282094102,33.407562231904656,35.73709793184743,30.936051954191374,33.58653262122586,31.784045338521754,27.848078163524765,28.8476692285169,23.946005690761595,24.19477206253784,21.259128421701156,21.076767143849157,21.982209991189613,21.284096029962654,24.906888969482036,24.51127638568193,29.377404532583416,28.506683554787223,25.302883693203146,22.73225033885645,19.313557099647937,17.744244422431937,16.377868985609847,17.699943117645105,18.005667618275005,21.013966589962926,23.56584551632593,28.38535720072735,26.885159066146308,31.497353206467285,31.846806281209865,33.39829835005046,28.79031317693832,25.149677693834114,22.005740184476565,20.911697865844577,19.495628194227113,22.976144840356362,23.940909253984167,28.8521684112852,28.94850413289787,26.96745692383085,30.400264685664165,29.677343220739395,26.520787003924845,26.50750842533272,26.24408542915956,24.05278299477464,25.764560947391693,25.86314957811182,30.231203017688294,30.099221423154905,31.218836802126354,31.662446536192327,29.47837281083016,29.80575260826138,30.29936079035076,29.344216038898207,28.182070667884766,31.266375269337743,28.590918749892204,33.326432304792796,32.41567863783781,29.12141671587066,31.126409460165736,31.616184401942245,28.67506680898842,25.70655458243483,26.824015529677002,25.951372415987066,30.328265377305684,32.465274224900476,34.08245936648488,35.387475417207895,34.448071592212365,39.548376079654915,38.57256328375078,39.13225535791404,36.727502912517345,33.35489006580345,36.84947079957673,38.686367169990646,35.94100955792369,39.12471664083412,37.98578184958634,42.1323928406463,37.07942487183927,40.46086740385958,40.53703256562435,37.74311458516803,36.345141117563834,34.02628210919545,34.34421408051726,34.24064489075561,29.51564080395741,30.951574252157762,28.1885305686174,27.887428845545173,30.06612385530604,29.33689135065232,25.463122402615618,25.36493623078239,28.328053038431687,24.741001060953938,20.490880118526853,24.72042931079606,27.36159530946687,21.241712327225716,21.521930025828595,24.959116128063858,22.9427220542656,19.06640487617455,22.463012442318945,21.497444759985125,27.22169200914784,26.038598521033652,27.10936510910318,30.499009343044396,34.992531759443736,38.46540684463001,40.21267386852998,40.80335849442949,39.838558403264486,42.1647263040508,39.7535946094191,43.52143747482789,41.967785468156364,36.145916322118964,39.33072243673148,41.84303019423528,37.41067263566703,35.66924113009719,38.844349235965886,37.813012019667575,33.47567099424604,33.157491593905206,30.5506067863353,33.570892717173066,36.52605134158805,35.87502654070126,38.2457089237602,40.8441641303407,38.41444439518363,34.46391452580015,36.37267450334774,37.13133048220523,32.45742314014262,31.075032269613622,33.39867927913022,31.632020940016993,28.28439481420479,32.618394840881386,33.25408466216893,29.088557597352303,29.75455580187819,33.60697749515524,32.30192141546978,35.21962590390782,34.35261052853508,37.69801806386295,35.87430484567588,30.421527834348403,33.92251750282542,34.924261209230224,31.58566465421128,30.11818596541604,35.61784826831201,33.91942127104387,28.494267018669365,30.697893187067358,34.96973207565187,30.96288793324165,28.28660737530286,24.25817600809639,27.504163419200257,24.42036909410365,24.486660760038326,19.446050671014085,20.228924249578498,16.567193959379505,14.76154167588515,16.747129593978446,19.491693138516034,20.478546415018496,22.800645814039193,19.716687846130426,23.4267683187064,19.8939960352395,19.582569055615373,24.395135169030016,26.233312016837765,25.907767048883603,21.196825015051935,21.779630602606336,24.08721546717137,20.540874910505586,17.37720160691061,21.258539673039444,23.440445319194236,25.809637640696014,26.833674223119466,27.462373089257586],[16.96519956371936,16.28540774549549,18.545102877188654,13.795717005568529,18.882756032766235,18.737372075546727,20.501156397273526,24.5182750625709,22.83329356519682,23.865928518471797,26.22202422031633,29.316029373867757,29.075328876397485,26.39336450932201,31.496193896182557,33.3467217144676,31.287711683629617,35.19922457973588,36.463931405912824,39.441340348166435,42.273080989918036,46.16878769693844,45.81986620853117,44.97866497754209,42.13855632892159,38.45408170789968,37.13233593208304,33.705782264249926,35.29040269812577,35.6648920408475,38.41301808013115,38.652191595578074,41.98178382958146,45.37509095120304,43.204871211791456,41.07952260988299,40.48500984855728,40.1264776732438,39.52234334856208,44.92908051098398,42.27340936312174,42.64984865039817,47.039544863745405,46.19153287475528,47.36228280662139,45.206781815114475,48.88085128977729,49.384546657793614,44.637527694192784,47.81721940762558,51.27985779327571,52.144469764329266,53.72389126761625,48.77075501736987,53.458644333486276,56.10242936270195,52.19190759463877,51.96316033128825,56.843215647596296,56.35930173430288,52.480967948942045,53.70946080994035,51.925286154047356,53.00228897390914,50.64822332892365,47.47100980398439,43.81536537696583,41.287435508023336,37.91237307888032,36.0441389368886,34.62684666947597,36.56199644625981,39.0974179421933,42.352553712246674,42.5579804411341,48.832478699995185,47.93213503451149,51.02281233473556,50.101221862614295,51.04381630883738,49.43822668417376,48.58964828035522,46.88357518161165,47.02257527483518,43.84650485518603,42.844531231521195,44.56901882609087,45.711702348913676,44.92923283840404,48.18188496051065,45.408855316737196,47.9507813332907,44.58951299639694,42.92974428908478,38.24466251378018,38.24432451439313,33.946176640866724,37.28478548275922,35.036518904204776,36.91904447643719,38.61586827646312,37.82412721760369,39.53087515619747,37.517842409069544,40.2249689142749,35.470057756580935,38.18785992564418,36.5447360730647,32.51712788633567,33.33929731884988,28.381975698349105,28.690132136312513,25.407343979615387,25.39827044130285,25.724202116070764,25.117247454972293,28.43565006106554,28.00874288111741,32.33916941984417,31.468006801026057,28.079026248884723,25.643085662555336,22.571430604033388,21.402966876866707,20.230493266582677,22.233471990085807,22.52680453199543,25.764603259845,28.384027356901903,33.210847092633635,31.83226036456412,36.424182246628575,36.835512696408856,38.30230758801921,33.74655842715627,30.02531858557885,26.995882471700288,25.741410478661372,24.05469156873356,27.388827982822498,27.890092143948472,32.740493982210296,32.74738252457037,31.01520345378309,34.50304175010365,33.62796805318247,30.57014976141584,30.49041729146263,30.393476697911932,27.87163875624301,29.620394749071682,29.07866126046115,33.42561327404009,32.53690642876525,33.76029200289072,34.735688972634954,32.76384234721267,33.523143076272774,34.03349267268577,33.59493154385577,32.661599735008465,35.48347324594092,32.987419617511094,37.7465004438012,37.07642862476642,33.72702498757151,35.940371802900174,36.3249975750135,33.49361476997673,30.49020208022705,31.71530963910046,30.72674258918165,35.07358286510195,37.11832130070999,38.558652754345864,39.77506570320982,38.5176030955021,43.728779918901125,42.94564029784878,43.64607241290797,41.40957228995307,38.05800647034667,41.717192890433125,43.60361387270112,40.81435724772897,43.82727199052037,42.48826795771985,46.6893982730813,41.61506173961808,45.1090243211617,45.29179418287241,42.560539000067976,41.25849895839482,38.991398158110634,39.332866048273424,39.19297330930468,34.460160728447214,35.8015853119328,32.88649032423454,32.563467122833615,34.46223265214233,33.61893786608669,29.871810272057008,29.589947076314207,32.24812528994854,28.571109469126263,24.413157845142592,28.26697886675272,30.611929350939363,24.382179780193365,24.41302305920799,27.489392999349302,25.30375878440206,21.24948338708881,24.317977878006708,23.852815524766758,29.28064504378014,28.575683779043025,30.06956807192294,33.20105181406625,37.94933676747953,40.998034958524585,43.20101548632802,44.06517125003843,43.43773786432429,45.97383210981759,43.791761889732314,47.661746297032906,45.913693567431594,40.276531214584274,43.67131673826693,46.10638838959862,41.615372316716375,40.10418620426492,43.40106236422411,42.12751096839113,37.74977080538798,37.84264695010188,35.058971754245604,38.24625380070014,41.07567313098801,40.15113387658927,42.5291116030978,44.849181959931286,42.545695245664604,38.679636804917195,40.15775664288525,40.84344070542894,36.32735355102683,34.75871300689115,36.666246132055015,34.727957899168985,31.42996665411502,35.59399566571773,35.864437241491245,31.451990403878106,32.23978614424637,36.06857164561903,35.078038409095264,38.32267782928794,37.87375833956154,41.24405666656348,39.02103718616612,33.82207460697932,37.67917195754817,38.39074610033019,34.92207283927148,33.96369761047173,39.36101012866958,37.24374554763438,32.03032237075632,34.643911948106485,38.57642915821254,34.23691321733016,31.877793243324277,27.743591074462152,30.510983875191403,27.03381598724395,26.82264148712992,22.193116424265888,23.465442237189084,19.823009186911314,17.901441962349633,20.4341919018407,23.123985843374605,24.624054104043957,26.99462179920503,24.296666892463364,28.13382542340882,24.661585859671042,23.878852893333487,28.54373483350953,30.01702820744156,29.57824156543495,25.109685610576687,25.17340780280724,27.076926028732508,23.8141179249592,20.34670839660193,23.733681895617263,25.282183133065484,27.555874512369666,28.676637039926067,29.16464600853945],[15.900080357751808,14.683862546738407,16.495947460952046,12.511056955262907,17.480096429893166,18.92659050721978,21.26733318864672,25.511331308795732,24.88275882784405,26.217544422146556,29.061482775407363,31.840603617704847,31.274803375810894,29.267654437926648,34.47030393419563,35.87807520794583,33.6328994770671,37.73288293635113,39.025913178589136,41.55909696294431,44.47536080259313,48.055540128558825,47.84792291109237,46.736250917853205,43.72426369795731,40.37490751714693,38.70566314126204,35.4802627789136,37.26477620350279,37.56971570913689,41.14593121958674,40.80549414815852,44.44938262562964,47.88643207150981,45.32969539938945,43.17879809859262,42.070276075449755,41.582440152155336,40.58409704196013,45.510119213746705,42.99192713771972,44.10378905338486,48.326614130570285,47.218946001359754,48.44879662864919,46.03050895860428,49.53804534339231,50.07246696563418,45.12203653411787,47.80606920547924,51.54085598127843,52.16814746377813,54.07159521070791,49.27148962326299,54.152099554030066,56.88852415089557,53.20566683271433,53.2542529793843,58.112698823339215,57.62882034957619,54.14319714034514,55.773950557897294,54.21964089995572,55.47249270419097,52.80880122645497,49.57431404653659,46.45102985693267,43.984712622599126,40.97285065035529,39.3389002009996,38.10443552041365,40.40640191192297,42.699569784769324,45.688594536172275,45.63701745394546,51.888186409651645,50.46858760326408,53.58224586871031,52.24983081657442,52.82514178776082,50.84865568553856,49.53541820881426,47.66424403050651,47.315276460913644,44.18393553329037,43.73258321605734,45.93158250021702,47.20792514357248,46.93109015188321,50.48098541605267,48.07963779009917,51.02281019905736,47.736535574357745,45.973364440932826,41.23216137777973,41.620410296926124,37.26920280564714,39.97838704885868,37.43079216518571,38.93960297211489,40.37956379246252,38.81973918721759,40.500772461712685,37.76649457623698,39.870112443585526,34.87140865808932,37.03692336403485,34.87000735541093,30.767411776687744,32.24489855923881,27.50529804968234,28.437578396339074,25.909506051859047,25.959440289014346,27.317524236483667,26.590881054480263,30.30020840312516,29.717898109632593,34.71537117039449,34.0238962397612,30.820839064834367,28.297530520146164,24.759350392318293,23.16864260922342,21.65134142301696,22.44059078632673,22.000894594474467,24.963416905454125,26.964873347597983,31.93071818993377,29.69446172359961,34.17892256481393,34.825011123171265,36.837422158345284,32.24391371234871,29.04060486738523,25.16991021102881,24.903632104778755,23.903082673696808,27.61512863531949,28.512596686881373,33.41799645100669,33.91491083118549,31.937740704737138,35.37502461244401,34.87467307686428,31.67131622552361,31.653720689639062,31.112936316261198,28.928515320964323,30.142013007480244,30.31153515434164,34.31019550733246,33.957073380432846,35.608978111548275,36.21433505202414,34.321089868541044,34.38096087965583,35.26264407185552,33.88915153501428,32.82906004024727,36.240253710455036,33.35907848920349,38.05458901021978,36.65249556106593,33.11566917729141,34.67335019053603,34.765346840432265,31.528414886649614,29.06238722122755,30.29408599010128,30.005024118496532,34.53665741020818,36.86380621130961,38.71899392569467,39.98262777866622,39.38354507603723,44.29077061694029,43.290701658424176,43.59215633099872,41.03684398791914,37.4779029033479,40.60951019609045,42.278345614671174,39.720024475150964,43.29703903546816,42.48881592827426,46.368964135052586,41.14105930207102,44.24715773011976,43.954196488392164,41.336620397319045,39.44600199546372,36.942948863995014,36.981154243029245,36.369390694641524,31.658863771951495,32.76932017703747,29.592244657428317,29.8807047410381,31.289352707930767,31.05348770168562,27.440015200069247,26.304854927933015,29.110851169017224,25.99904475693151,21.10595777928931,24.737912473928695,27.813047638514057,21.7322896915439,21.097787726517673,24.351088342453032,23.004819539371603,18.525696993348763,20.899931786865288,19.897109163524096,25.59933143471483,23.88198288995642,25.805380374918762,29.125896460429214,33.63078322526484,36.74600374279016,38.85253957021729,40.12341472777182,39.551508944523704,42.28941790132593,40.44745409158073,44.03560843961667,41.91405502068112,36.47386594675104,40.084737746939005,42.07257420244129,37.44307624702488,36.26706476660516,39.57445973161862,37.78684104728784,33.426059445328384,34.15258087942984,31.36090270157128,35.26777140243072,37.93622393884957,37.08001742277485,39.91020611341932,42.32949045300067,40.49396617238385,36.27353202449937,37.6623461125171,38.93428725530023,34.54613788907953,32.44418874758879,34.693875781216285,33.15223786715078,29.412973548611497,33.206530918153284,33.92265090743166,29.777812249939245,29.746646251716463,33.396479581673056,32.00709342123039,35.23407334611013,34.872637165188735,37.85785194225082,35.41486365339034,30.29878291535863,34.02448830511779,34.308106019311765,30.784762814808357,29.91084157378419,34.99946658831597,32.541631338364255,27.419183489891275,30.14192440928249,33.710509629366165,29.157698576528542,26.901959164936777,22.84980250640042,25.184807555766525,21.62674291794977,21.68631750287127,17.202215965618894,19.101071736184768,16.155428523351222,13.313512942185508,15.911150016288573,18.239914525473313,20.21580148031145,22.944476803809692,21.18413975073397,25.368305742766687,22.73665775556706,21.85128033508026,27.042496062403984,28.460190693825734,28.938988173744,24.15384902191513,23.742203613698145,26.427871744018695,23.853146911475083,19.682205172594394,22.739573639990518,24.777887104080484,27.023764375288387,27.92066773362685,28.585239498153488],[19.460338009329185,18.765241633739723,21.000855461552483,17.140153288813202,22.10086970819163,23.3664686768276,25.57993836701226,29.792280633431652,28.76795863755807,29.89327896864028,32.5228839963101,35.521395776600166,34.99698026463057,32.56877973495557,37.75339044947068,39.39415722635255,37.036920868612285,40.931381276779334,41.872992020256355,44.70508206483671,47.375347118297285,51.064678056828704,50.567636120846956,49.389880635055135,46.60875787489917,43.20067172611105,41.88606085819527,38.77247605077596,40.73162660488454,41.28300930829066,44.495213464098256,44.56314634386511,48.10331075504666,51.43680860869438,49.01115412415649,46.725008074193155,45.92006824844736,45.18548332486695,44.20108067884719,49.216657014684145,46.39019802207061,47.36435981827026,51.634740284145934,50.390063635281805,51.3306458980886,48.81412727562107,52.28938316617605,53.1428570956345,48.28881755995995,51.04304956063897,54.90632120990655,55.71410517214848,57.661711934811066,52.86355559216607,57.88445825786995,60.395682698802986,56.5602812697893,56.76788992265983,61.602254958123055,60.862353821033686,57.32227045861474,58.941469253902405,57.42906315196226,58.36916557135483,55.765079980902726,52.73369940914944,49.281950478792226,46.9921559752735,43.62830803339524,42.08780420794776,40.57527195484128,42.56102960596856,45.2123034180237,48.20994014677816,48.556267967087095,54.81288242666267,53.64954434457534,56.895228620120484,55.72120714114917,56.36029394118793,54.639073615022234,53.366974514630726,51.725968120502806,51.38512575070521,48.12896042888123,47.64795599340872,49.60006565217145,51.044350649752026,50.43432362272878,54.02696190952649,51.39039734322989,54.11827628784048,50.86419081283727,49.25916721329732,44.55663066248151,44.744187436395066,40.426452755914525,43.556036176274894,41.18502771147445,42.88366432217828,44.40935913756782,43.13758102967351,44.759830299041916,42.23236634592748,44.36199931541663,39.411716241317855,41.64301289623163,39.43228223773425,35.37845368362171,36.881904031087814,32.129873149417676,32.893315035721905,30.240617864533636,30.07319580251009,31.064632462805726,30.098114488113538,33.57725818177069,32.66758242211527,37.362805444103415,36.98181348830949,33.623048487088475,31.353983042205538,27.782691260042668,26.636107589509898,25.517644799318578,26.533667269273515,26.529422513297114,29.404195044595316,31.48148885915354,36.40191612025746,34.05955833143041,38.557292030477164,39.031861059127,41.20592443939923,36.43074728286708,33.239638053593026,29.294169652197375,28.801886113626885,27.478874938370588,31.158258123616896,31.413345989025242,36.250847367379414,36.9541482957009,35.28469587852594,38.84257560485783,38.51255513978715,35.372390841087665,35.59499775553577,35.30825492100736,33.13474201467127,34.56227103393,34.534719664063836,38.62720918505312,37.99243621641491,39.579772724528674,40.36963407594254,38.43581339349849,38.71973259884843,39.417635416521314,38.26782626349749,37.006513631617935,40.194101523500706,37.10533192731479,41.86934412528958,40.40343050877201,36.57077735060288,38.322571294525105,38.080312576996924,35.00660333365967,32.58396763847682,34.098550986311395,33.84461374037407,38.52811999297644,40.96828014815826,42.86020103511326,44.27217065723791,43.52931249736001,48.55746085531342,47.44621952132261,47.877457342579845,45.16672770861078,41.8290688144846,44.869062924269926,46.40963004553582,43.75229297631009,47.152396897819266,46.192386566214225,49.936826541338256,44.54015071033051,47.68520549016218,47.42946018071782,45.027739005117546,43.185594572639125,40.81580027286118,40.9703512224908,40.37036542078228,35.76860279800762,36.996240754806365,33.85059885903145,34.37118188788254,35.6823722912698,35.60073041656999,32.028874888411835,30.686051088501596,33.46582110756468,30.483349124739618,25.484591751355737,28.893495495195417,32.025924354236246,25.994174725886314,25.088858054262374,28.13985644555016,26.92602649388895,22.332437464499854,24.22105516682107,23.373808438624913,28.858757150910424,26.963126769214988,29.361595362955217,32.57661541747514,37.04366514796041,39.89660546229202,42.213114775964456,43.835661809981374,43.44493517463239,46.33403219079595,44.699242308756105,48.17712760629887,45.84290610390401,40.567203073795646,44.27220351621107,46.002654588592904,41.30493859892179,40.31664362171307,43.55190186659861,41.4374009746456,37.1421322420867,38.11608763443992,35.491674137074185,39.654993123332396,42.29647298625478,41.47663112940633,44.41798729365585,46.801753545105406,45.08147524638619,40.82637021578686,42.09350853156108,43.44014031391797,39.12137904128319,36.89763969405774,39.03770863728168,37.48392129750863,33.72256874081702,37.34291391668397,37.9534799122927,33.74355637644577,33.61805419590876,37.173823682581926,35.865184640031316,39.23675998618099,39.095541132794764,41.9487728342376,39.25547336624523,34.3369969843951,38.11616507541446,38.092873620546996,34.52169307660183,33.8754983469237,38.7089264371881,35.89259236947093,30.977267554405195,33.8076502254451,36.970208703341974,32.161449157140495,30.076409053384545,26.20176613293147,27.777079744820345,24.042958939202194,24.31060722504383,20.377614914120933,22.87675264123834,20.31279939862805,17.112142475298704,19.768819893359684,21.650283053634602,23.97162233086567,26.99774581582796,25.61501814146111,29.838778525742907,27.310360120606333,26.502613066962926,31.701108018549395,33.04790153275199,33.50700601564505,28.77702108286992,28.236045946924115,30.794276425121808,28.274164225564114,24.056550176422768,26.892242551430012,28.606789448382443,30.777411087970357,31.690493597642643,32.26183785378946],[16.508562073454723,16.514758792356808,19.627078255586483,16.674989811874195,22.25979871628971,22.688168357377247,25.46141582765253,29.33360912668538,28.420199057104703,30.226697919315836,32.69458230638485,35.30893820894569,35.48354654104438,33.293638231447375,38.37166476699,40.055094874265265,38.203311813941184,42.318582379145234,43.777257832633794,46.51773818607039,49.46652861316138,53.21319086362204,52.97370248906649,51.98633350258874,49.04383017682306,45.53424573097038,43.96917467050726,40.58369316358938,42.120395337280925,42.20902249677025,45.336163313301505,45.043007170789835,48.409311569556046,52.05110463439862,49.78565750529368,47.85452400840107,46.82899996261915,46.70813227980743,45.9172749537467,51.00347195828299,48.55934796250735,49.41143909686896,53.70403936282738,52.73549998179902,53.97260506658163,51.6279399382199,55.17786513020633,55.710054569994064,50.801843256066306,53.5886326930922,57.25523101102617,57.883985193809984,59.70291845045178,54.84858711725284,59.589906161514634,62.406425444683194,58.68969900912871,58.5437572759907,63.430544999248426,63.04462054432116,59.3820559895138,60.774655103745566,59.02580962136051,60.290692811877264,57.821555650659775,54.54702395626737,51.161253896035376,48.55811884362538,45.38025765874086,43.452433821059685,42.16478642584211,44.16384778306455,46.589619384027515,49.881980212754016,49.878884788884015,56.15466744448088,55.07947881805485,58.05072502527812,56.97075452146038,57.794116379500835,55.84320001266492,54.7794298795716,52.74077992277188,52.62821766391045,49.60180869921632,48.92364180960294,51.070127162170934,52.07362299353101,51.7454570318964,54.95107531382374,52.41573509359911,55.09526892674037,51.64407448294685,49.753069080969766,45.027112525085975,45.01685742335044,40.696269735857356,43.61980912481304,41.03981298730981,42.21663544911839,44.34548486459488,42.78197976011329,44.949559775577846,42.2188493206764,44.71316816830298,39.672526035634334,41.72240777831602,39.70185032309915,35.41882896596643,36.76097901024457,32.02525424476493,33.33612376180107,30.568972528922398,31.060739445050423,32.16749792874508,31.73246162564761,35.33909194362285,34.93805724159893,39.62511125493444,38.72881862590802,35.43247141943222,32.85226512212462,29.670987350921962,28.129425195981458,26.442370029172007,27.743990990721727,26.81410293202532,30.12292267578302,32.03578460430725,37.064948452958134,34.906545181566514,39.28054441545686,40.23410712133764,42.12266446483203,37.76539947486499,34.55375157669695,30.754552123103117,30.619608070264814,29.620709925366306,33.262818343040124,34.126637525367435,39.03121619491598,39.372909354543694,37.42742165163891,40.85488515259306,40.08803770751183,36.912190855824726,36.60924839329319,35.976353906206576,33.37309072574648,34.316297326468884,33.888844910651315,37.64071237157581,36.50560166020616,38.53103881489985,39.69333638019766,38.19937545532345,38.513587348626245,39.69945078236738,38.64458663536619,38.06499708963166,41.45440004206281,38.89351562514262,43.5756336436879,42.376220842279,38.943419828303945,40.48497585410856,40.60723660543321,37.31439768469424,34.9035273600214,36.060902902370785,35.73334144842293,40.152405157400395,42.32937217669956,44.00806434539087,45.02265799383933,44.252411396885805,49.147753738603186,48.47986198690744,48.76359689182455,46.50430826550301,42.71892049783325,46.034820275699744,47.824513504870424,45.35175772919649,48.98724593434396,48.154859990860864,52.140721303721776,46.96165023627104,50.087051629851246,49.779095316370565,47.1241821061137,45.1672291574175,42.5745408272556,42.463006937004835,41.64598042237779,36.89157210399931,37.666921999145366,34.19974336237376,34.408925706807224,35.26287071718144,34.88447409288193,31.5581627669859,30.1035279241732,32.356470979219935,29.24438421086968,24.618636010012672,27.54131598586927,30.142175805772446,24.14797711258145,23.13451491943263,25.7485040378942,24.363144859524922,19.81410347344896,21.497141973250734,21.23346165005006,26.24112435949787,25.33508525936199,27.73053881860322,30.546156628120787,35.313787947256095,37.75664409688254,40.48104662645716,42.11441433636129,42.0690441031246,45.09628684562475,43.66421626829111,47.37068230306314,44.96331834152856,39.9125134738846,43.824685276708166,45.69519415070124,41.064346558619256,40.285625304319296,43.81582785890294,41.72335422079288,37.346304914207586,38.77813929112217,35.59578549260583,39.711178637442565,42.09070796936775,40.75738605748747,43.61882907306614,45.57481996900623,44.062622646750775,39.94898540831191,40.62755623964473,41.90265898915478,37.83769919802595,35.3725259925018,37.0550324795695,35.3988041571408,31.695543129353318,35.086925625466144,35.381664360396904,31.060800575987287,31.00330190297263,34.49804840081659,33.515617397157904,37.13751602417035,37.40527822545235,40.33601978480404,37.3293754577892,32.709445079735204,36.8861684659288,36.7252571473044,33.09510332786506,33.03764380987485,37.88078061661594,34.883011563234525,30.240619008112834,33.554856946045476,36.57515089140098,31.701466276455495,30.05721620580166,25.92790445682187,27.672859626621552,23.71715044991717,23.119727974697373,19.508090608794397,21.805558884728782,19.03123089612852,16.48974271908898,19.649760674244728,21.935196991556854,24.45289049043124,26.92256541874618,25.748015732791238,30.037327985316995,27.623984677306886,25.96906030665864,30.933800451460193,31.77532125517005,32.35306386577359,27.88757334614447,26.651900233630528,28.942355543840613,27.03670157897498,22.37506981221179,24.5893694667415,25.885971543333618,27.93951624050009,28.886826117491545,29.427480498206478],[18.511226083922633,18.718132397042115,21.908019899209243,18.094892081883103,23.652006271826142,23.2015882999091,25.421870099901795,29.18972372903132,27.4463421848318,28.85610792692138,30.939377024499834,33.8695646991738,34.153948194209185,31.380798837954114,36.35211463056247,38.3830962622483,36.5680910516106,40.44186015930926,41.71792937414061,44.839372098323075,47.62128970184027,51.598272457852055,51.16003605410518,50.33762555447654,47.59716811786031,43.86042645526784,42.66018836217789,39.21078020095684,40.70051698713742,40.968374702412405,43.41927756762547,43.69990759549978,46.83182897021036,50.347709182420104,48.37413356981555,46.37834957386544,45.832697027496764,45.64846068789043,45.116129535468374,50.552478378985704,47.888065122882836,48.19140239161798,52.60186902443966,51.75834049592817,52.85043559204394,50.66241803832357,54.31592722105218,54.930501248624,50.20465108880954,53.36664818544337,56.8817699355151,57.75379913058166,59.35406222103494,54.39850417891027,59.06503604609382,61.7137220551816,57.78140919998943,57.51711724569932,62.39816961791621,61.905501938944624,57.96465382941299,59.08720519914961,57.218774138500045,58.233512161528935,55.993246517722994,52.85077182283798,49.00866803752406,46.45866490494114,42.93365842411113,40.927851462060644,39.42434736973904,41.06984189856995,43.76496662900822,47.189378270875025,47.513353128383656,53.77537860147977,53.127710580640155,56.14491244471119,55.39003221000307,56.46568889751886,54.886983559835855,54.14253759760163,52.34815884576558,52.55890141664952,49.43330386956255,48.37915047403201,50.08890276620041,51.10331674002947,50.286020939745654,53.33764226438757,50.47026412994284,52.80479867180211,49.35412666347479,47.632546137079146,42.985218947925276,42.681563852783576,38.43659888248731,41.9287654224161,39.65928517422605,41.249390455794085,43.45154724548869,42.57690111794917,44.6302658728678,42.518553639534574,45.38611166560047,40.54825299199719,43.0701578361884,41.38589962842571,37.201191172298515,38.104082918024574,33.18466210883041,33.89319552480525,30.6001619570615,30.876236752773302,31.18005469012249,30.693412757712196,33.93992928662635,33.5089544397495,37.634366163048924,36.75642036872593,33.31707560699595,30.925034929804877,28.035227312526093,26.940788005420803,25.671298312656983,27.75727539948489,27.594396578365604,30.994165513594066,33.409088562437326,38.332368050542485,36.74199659304195,41.26117098964935,41.90602004679418,43.476459866561484,39.00875731982506,35.40872597747072,32.150299192600066,31.2059614180685,29.62236316837065,33.0036408522318,33.38463409344106,38.21366925234698,38.29525239258701,36.62938713753901,40.125785688796256,39.19902076355096,36.156377114765554,35.950777420639795,35.74819078055875,33.00365946209881,34.46861638811452,33.584361949431774,37.67398568311048,36.207750593208274,37.794147259176285,39.18008957837124,37.532777900624566,38.39067237273234,39.16590722300245,38.81110464692999,38.14635041545023,41.02844073206937,38.61474377445108,43.36557548518496,42.643584338660375,39.22418698055022,41.32101228000403,41.54950731673243,38.60724150541726,35.786239043566844,37.05182152982884,36.233513142540986,40.60361012601375,42.64624336685325,44.06927706666336,45.15576685498094,43.881126892894926,49.044470702943364,48.428282532336354,49.063162242640615,46.92181913038247,43.41455068334106,47.06053829171774,48.94859275750709,46.24044405072014,49.383947598558386,48.10526911254335,52.26718325935475,47.13289426010432,50.56781979472064,50.637519293953176,47.96816147526986,46.483923655167175,44.123813368026,44.31775012364578,43.91462499875499,39.15319419923465,40.24197784458497,37.03707222783241,36.88203175317826,38.249482681188155,37.49341890153313,33.96970949002262,33.17808681355331,35.501501833049744,31.971364935227438,27.733093842940736,31.025211643707614,33.244433399143524,27.080029893334633,26.612279826061503,29.253592415502936,27.248542830515692,22.99587719898266,25.328762715548617,25.28564648771217,30.26781939908351,29.85212880637808,31.90131328959265,34.716395580000004,39.60799322233032,42.127643057122114,44.81882824961608,46.13015288825145,45.93791493676403,48.778407057058914,47.015392602971346,50.893456141206855,48.78906925183249,43.48906297911485,47.195617795630326,49.38373998290327,44.813530261280356,43.70486451580451,47.16280315416444,45.449688147611866,41.05061746999762,41.86380962010854,38.82851702599559,42.44156260742344,45.03596313457403,43.79064631772117,46.33960942141819,48.34319265160637,46.40540985989278,42.510428181327974,43.42368457349118,44.26461710477965,40.02051971468092,38.02265834205262,39.567978386616495,37.62182848693829,34.23669921638829,37.99353853735946,38.017392120346756,33.50258282877781,34.080807234893946,37.74385069033705,36.986435384091976,40.56312408040863,40.64617166934737,43.87067202851806,41.117522164995854,36.31816777009173,40.50216522724412,40.72188064216912,37.13223558634064,36.817469720148196,41.9396249395486,39.25559442941252,34.409398363473585,37.50874814241323,40.8951238762855,36.18239715708384,34.28761602700358,30.119829475866094,32.21537080087014,28.372516248799002,27.851174844157708,23.908617935055346,25.78066166894441,22.47638782279249,20.339543088208803,23.337455274653077,25.84071804531402,27.95660203819375,30.377758048043564,28.40942886278947,32.48131587908971,29.396278944792517,28.048155114957744,32.730969656960845,33.75775512756924,33.60923095983112,29.298401388014543,28.59902482950448,30.371803682110965,27.792753845523855,23.757794248031843,26.385414236341877,27.394078158331176,29.489930859735786,30.599931964713086,31.004224794282106],[12.890624572308093,12.95809093423318,16.326313953829704,13.283464309915734,19.15279841733107,18.752979592298974,21.6129350325948,25.290756059145384,24.322716727674543,26.411132371438963,28.79809127639328,31.225110527111564,31.70931548115194,29.682886284765857,34.67525229748061,36.34745777943097,34.807321967610946,39.047747368347075,40.89175806102925,43.53115601753363,46.69108993021494,50.47119839730406,50.46121041859081,49.67056776974533,46.59385461202659,42.99802435335529,41.24053150200202,37.64601622852609,38.85336416538306,38.65052561273335,41.712024238649875,41.22088928015303,44.492233562373464,48.272177791175196,46.10034023560003,44.38433587217604,43.26427555887491,43.545595168605345,42.946022540519756,48.14486933479224,45.98523671840568,46.631283715235895,50.939420331002076,50.24317984505997,51.7417708419748,49.619762918098886,53.25901356255292,53.46278289652999,48.56678648936469,51.48430199081654,54.89309703594519,55.433681869080104,57.058862811508035,52.14336158230469,56.62253458001176,59.6413257576465,55.99206791873296,55.5339153128366,60.447574827153275,60.34218247785552,56.55335779737368,57.74438495528168,55.82394683173554,57.338869796662514,54.979367293215944,51.522439509977744,48.21849321173568,45.389549213356034,42.41075082313154,40.23467648389785,39.160821679226544,41.261015182684524,43.42894512062152,46.872259756904576,46.56879820154677,52.83222779621205,51.77895606199784,54.56220702544348,53.54169176918744,54.49950277764183,52.44162520327573,51.58048060770464,49.33224086788344,49.462796144042855,46.58141239687389,45.665612803632015,47.862523419656895,48.568801430052496,48.37867557375178,51.329766426608714,48.869556830790536,51.545396061901634,48.00014654479071,45.95378681334428,41.225844620951804,41.172936306809945,36.85819444193368,39.61968261373282,36.95857723103636,37.9757830464374,40.30813417968683,38.73656444814019,41.111519501637225,38.452134423418244,41.26546595079081,36.27042600616193,38.44197197828161,36.726315073949294,32.38274499466278,33.383517061235146,28.579915946909864,29.933967812289346,26.942681098975914,27.786030678211006,28.812586918081564,28.765606934494922,32.40486051102597,32.44410434500842,37.0754854959064,35.75280462052194,32.55009658780155,29.746448292722768,26.905177489578357,25.086177744753208,23.058955899178464,24.71819284554359,23.445340996088284,27.04919845243187,29.093450990997205,34.11178999057984,32.44217642822625,36.80349387118321,37.90870115823066,39.37340008970274,35.29478424722437,31.88102039653601,28.532857321793678,28.280874967500004,27.360047955211638,30.841761680139474,32.17748357421091,37.091160486695955,37.01180532824943,34.87120811938223,38.17095830833573,37.024645919406574,33.86606381199933,33.20881471915277,32.45125751129673,29.588248507014242,30.418186918809425,29.737170032390935,33.4522210114754,32.17462730473291,34.21976672809892,35.49234541178682,34.13290619581395,34.553845378516186,35.88030826983765,35.04746951294702,34.86973044788708,38.24275943146215,36.14142418905002,40.74920182816431,39.95167572212448,36.927549979341904,38.51820597068105,39.086619850034154,35.796026808730375,33.16139196515887,34.01293994200525,33.373386048806445,37.513460958485155,39.41602559191486,40.84200114897054,41.61456966902597,40.6928632449867,45.564485106709675,45.18628615812097,45.48791155687226,43.59591829543389,39.61904783852308,43.27717014502117,45.3084105281941,42.87200254315863,46.464525339534966,45.5754070362682,49.83113376707737,44.90776635945346,48.13984570170468,47.97805536763093,45.06658577069122,43.286033241128756,40.64451113657651,40.505127232870166,39.82521349392364,34.958453658192155,35.62962568979119,32.18246487808011,31.86541122997729,32.8940107795894,32.045285247968,28.693037722818787,27.756100817199535,29.827723267273893,26.307046483152863,22.206342079983635,25.292105885087125,27.3668601759074,21.2312229720256,20.74490823256358,23.351508347122802,21.365070415348804,17.085624037889897,19.55653028448436,19.575679867944615,24.547021818381857,24.520509755329897,26.28475797857822,29.01487133051601,33.99732639846483,36.55706758055629,39.22401262909399,40.367600791738674,40.21587511219034,43.05422365512512,41.34119274561182,45.31568512059662,43.23633696702698,38.011133697552204,41.79335964246752,44.10168135988224,39.60645569527854,38.57242850008784,42.214843451550166,40.61811992405782,36.172300467422524,37.22417808345542,33.7948298215355,37.37325874453129,39.779584990350415,38.26615189377325,40.81896200814216,42.65962337878464,40.89582181414447,36.99756985599264,37.66940870907755,38.604491313989,34.48181716590779,32.285109405544134,33.790632918681496,31.928283755426946,28.440078627519636,32.11214512100491,32.21094071589607,27.758497527645737,28.19524937443802,31.865775522671903,31.076553694237464,34.65248211362369,34.78958848073859,38.03350172885838,35.26726417190356,30.498944984449047,34.789723891000776,35.05524270553427,31.478168597046796,31.32022654484165,36.51649641963512,33.94442524200091,29.148432565346734,32.41622901326071,35.90281151815303,31.34012918929688,29.592524453210736,25.24622867061273,27.84162174763635,24.06001689730077,23.01618421961997,18.934897131968704,20.353106703588985,16.847178783276203,15.263714659115312,18.449211321796003,21.337213705681002,23.391564353496005,25.321739916891445,23.48803055771544,27.5992047363007,24.792611427872917,22.858691554776286,27.52125859529856,28.294668262066846,28.525727836782586,24.22254452313481,23.067938745084962,25.045290578929674,22.985869328138218,18.46347039056755,20.835230166534544,22.080682513343646,24.22160386932921,25.297577872728727,25.854913210272183],[10.891273255511681,10.563000797603676,13.628792303193029,9.975257284124169,15.853064628213904,14.643897876052758,17.347976956390134,20.942816556093725,19.845265628255316,22.02019279736269,24.395146485936486,26.753221751707095,27.325741842625554,25.420699664611483,30.36256065040941,31.995482188258137,30.63930159965968,34.95822241541688,37.08411098343659,39.62200253176199,42.93651648624164,46.72405169262087,46.89968738126829,46.276986738787144,43.0985449938931,39.44490896202542,37.541469704719034,33.797944604578355,34.757252427508945,34.37162761686858,37.406548147707895,36.804325823316674,40.044398819602975,43.87450058262224,41.74094642671113,40.14431892252742,38.98711888849427,39.52117514905822,39.07897155656202,44.38003440398656,42.42593460480329,42.87287265207975,47.184487747699166,46.71026885851915,48.41088115556515,46.49301164608464,50.202228650217215,50.13353455161488,45.275849057113845,48.332838971190014,51.50070528454698,51.99909466463315,53.44353425896618,48.48408313143666,52.7524190013411,55.89503070955948,52.28608995824741,51.59252421023027,56.517692258222766,56.61116309360641,52.72608494541432,53.768286330877686,51.737324615343596,53.42974244122411,51.146968459279464,47.563924618020714,44.34619855197219,41.36321689641322,38.56853171157094,36.24079716500148,35.35318842670276,37.58594035764593,39.511576550127664,43.017093538226206,42.47348284414327,48.716365284420974,47.642225012252894,50.30803131803901,49.31336107568406,50.35530673303445,48.252403968614786,47.54865127575282,45.20278576746301,45.534262359648984,42.74140330104693,41.61521496371646,43.80199787308766,44.32159681003117,44.19549391087422,46.99862886804017,44.59406769909892,47.29764107345592,43.71558591968509,41.58969936580176,36.85794459824446,36.847731204197984,32.53019698696837,35.1649283121473,32.47793016565316,33.526140741812505,35.84736338073052,34.38455345459204,36.78627246035101,34.29811916859232,37.35359053511833,32.45673481601667,34.85907562834256,33.448091901332646,29.143726872995153,29.774541259929265,24.881513128709194,26.04180591729887,22.797658118305154,23.828196844586515,24.706018952788774,24.958964610947554,28.58986693483078,28.999978463039184,33.55813249889712,31.89814037393962,28.801031151295366,25.82843601532047,23.284735398694806,21.24559173944648,18.981075392802556,21.009842342620004,19.673813368227,23.47976097044384,25.76211365561479,30.70105371741288,29.581570294461017,33.95355210524907,35.04497785425612,36.097306887922926,32.210657565498906,28.565160033049125,25.759048877031244,25.21707445682117,24.281642835581444,27.54621621975815,29.252280869342222,34.11690571024149,33.65190071554465,31.374924249080117,34.552552179619774,33.10314388743817,29.981749261967103,29.080222979666225,28.3027143756678,25.279591402674527,26.181541775546684,25.353779003296694,29.19511268584112,27.983587935988645,29.84661338452969,31.082889513822188,29.689649987613837,30.231247327173804,31.528131098899017,30.93329903961911,30.983302129198954,34.2547660227999,32.525369949395916,37.06221700724586,36.6577170591295,33.99978440015191,35.71783389033514,36.68687665105326,33.50452823715396,30.616540481323785,31.21710386135477,30.220280277754558,34.09567166873416,35.75693975463164,36.95317889441276,37.58629022947614,36.488714112433925,41.39084401149338,41.18546311110258,41.56699752539946,39.94602372085406,35.917457790083404,39.87974643521261,42.100873207590446,39.64365551068083,43.08483130876528,42.08268187369222,46.56246538748661,41.88176052285051,45.22998487331067,45.26229489296186,42.150399705765835,40.63139188443205,38.02908213636975,37.95978537177514,37.533411479351855,32.62447203852272,33.34639000225694,30.085754772861787,29.254658943814867,30.69014140603871,29.399306409951503,25.929197523988016,25.708470477694323,27.76901040170185,23.840761698978895,20.304528138306427,23.758422748935157,25.403297245991546,19.19006233678263,19.442415427928843,22.181697408498756,19.59563190774042,15.797771808264745,19.214315926413725,19.275399003567532,24.2684234434352,24.77334174997943,25.800962763537463,28.558003295580146,33.57576570736803,36.40707477042308,38.8140963662216,39.39315028202712,38.97228380733857,41.513325854689626,39.39618366685586,43.561892065422875,41.904538667541395,36.42314995695828,39.93893294580247,42.68149489740405,38.347231134141694,36.94029887455628,40.568011456183015,39.5437605821315,35.09107191875865,35.5095235143347,32.04465796056711,34.96896709275133,37.50303215224237,36.0036513926701,38.20426603880501,40.08702783386805,37.93265765843716,34.25204301458438,35.18009232396285,35.728971641740664,31.4348076072607,29.704132290727056,31.197656618346127,29.143312188811024,25.93210040177008,30.02263688154816,30.03670654246863,25.53352718670724,26.53798378395509,30.39152237548525,29.686213410309005,33.04720022219111,32.83937958961843,36.390002612572395,34.07003112281008,29.052570810340114,33.24912828428465,34.066572496208366,30.620647206449803,30.094875974895995,35.63290436814738,33.64205878434118,28.630837949460318,31.601128225049838,35.625997295029556,31.48782763875555,29.48329489297124,25.077625089145535,28.476283888967703,25.033552128949673,23.885696042025728,19.31115576565987,19.773442497962968,15.614402504831663,14.983624621059437,17.828370797836623,21.147775641442298,22.53321923018121,24.005463724819652,21.296216489667632,25.09089512784619,21.746269919137376,19.856938673882702,24.1903567397322,25.122531094211837,24.827748202447747,20.621762867884776,19.960907038143024,21.63920576070958,19.02725814156305,14.991017748975347,17.925155501643246,19.315242530900473,21.57498781185856,22.777757682950163,23.357407287889753],[10.254463172022612,8.471013258904247,10.279871961289505,7.197505318826086,12.775078322104111,13.789159623933205,16.890197191693478,20.81417623510903,20.979895867249336,23.16167832771675,26.12847697331248,28.231707023896668,28.139990139883707,26.96990483727344,31.997659929501772,33.08250416976951,31.39406683282357,35.843588947052964,37.91311538016906,39.95083235963436,43.31809680545191,46.74180036017823,47.06570074732556,46.15616183906932,42.80507111551712,39.5306518094976,37.27122523260125,33.78893674968202,35.016968142295845,34.65140167818342,38.62773624413387,37.468226275111036,41.100595010950144,44.86166298956036,42.25659071465625,40.55741457041557,38.88348081656352,39.16273335241016,38.28012058044344,43.049739174997356,41.2317475297792,42.447758810064556,46.562874826295776,45.81404997814163,47.579039697082415,45.417393447501105,48.94975987344518,48.88269235010422,43.84179661769497,46.40048419281426,49.81155567065129,50.070937415081644,51.83531692040093,47.04648377232867,51.51957857746841,54.727660628155014,51.358390881838474,50.981014074610265,55.86489943582245,55.93659823609973,52.48419646931825,53.97847634013857,52.2366725685546,54.08367994524563,51.45282593580271,47.839276178446156,45.22280215057108,42.363612726188535,39.97241109539873,37.99654952551422,37.28616966245035,39.942058086687894,41.608308910773616,44.730783893304604,43.95036852935202,50.13511175889954,48.453813709722965,51.187024043667925,49.715304978672734,50.31717342357348,47.856627901093404,46.62551347237291,44.177897686062316,43.96148370799126,41.19461598002952,40.67325778577797,43.329520460737434,44.06786947888553,44.44437856654257,47.64829708345782,45.65397670497132,48.82060307548791,45.39467443349462,43.245582391845154,38.49146849774693,39.0109771395836,34.676206145057805,36.61248083902438,33.68631101266362,34.507179438251256,36.25478832303058,34.03848325774012,36.20590469624424,33.00047826936623,35.302078175997465,30.183030020421093,32.061825254063585,30.088358475756856,25.748309716636157,27.086237281195203,22.42217568622449,24.118471605892648,21.773739050286615,22.711701487926312,24.69977326336359,24.73451407760327,28.73114798904887,28.943260469287928,34.17966070611804,32.77439711565382,29.904639448786167,26.917852118949376,23.837531214015282,21.421617283096882,18.93060440260883,19.524745432954354,17.53375307062053,20.93865139462195,22.59827459409766,27.6583177717584,25.705194714503172,29.99686538431147,31.268426265421578,32.84229706870881,28.89850930003994,25.764293381783823,22.18353354787404,22.60345224515547,22.383325410874114,25.969816057745128,28.10975928683456,32.979076459279696,32.98234188224137,30.46680060055339,33.565964624460285,32.55389233675944,29.306406804016785,28.562072114590627,27.376244449859723,24.884906252155183,25.327588092317967,25.512668783359278,29.04897916136514,28.763884354234,30.865835603169806,31.461973424605013,29.988979943870618,29.70720058290547,31.248314776260365,29.592118365633972,29.36713063772812,33.21350499749949,31.044061992284487,35.49094315376034,34.353247637925584,31.563533820286388,32.64107244895052,33.402805256736194,29.86448735929356,27.46475410557134,28.012460574048255,27.670158172859015,31.695407005655,33.64548417640121,35.28613547982303,36.03462272182115,35.65321139047457,40.23663517235012,39.712760317862546,39.705181202644205,37.70351302181041,33.532706241355285,36.93477717461982,38.92997308079619,36.686842125876794,40.64989892169559,40.16801596442388,44.32085218274023,39.528312856054754,42.495194183724045,42.095889195248176,39.07640063636703,37.03537127143831,34.223444313868676,33.88623529930787,33.07170308429877,28.176206315483995,28.725545166468986,25.269529526326,24.98651744246954,26.11827611657234,25.438298816727958,21.98447274010795,21.033717086667423,23.429733066796928,20.022722836365656,15.606387476175826,19.155540163327096,21.72950804662969,15.564293666679458,15.289792732315709,18.535462207264867,16.86017135926285,12.59700028113915,15.651514562582594,14.84516204096981,20.450591605156216,19.761745105637033,20.919880881603707,24.062748442491618,28.795867705135493,31.965991811494074,34.049755749019084,34.85084448863135,34.28546020968646,36.914595120566396,34.95754880908437,38.849138445636356,36.951182837105236,31.488987867218775,35.119990045796406,37.531286719777924,33.07421033249382,31.829348593635405,35.43429776974303,34.09220161119306,29.637633791151238,30.407356081958692,26.973862196405424,30.481772271139295,32.95349356482431,31.648868522097217,34.27933629181278,36.42841435620356,34.61372453008594,30.530027851108137,31.62916393236727,32.77292994667137,28.47429120823884,26.322686175559113,28.40740834832593,26.820562322063665,23.11168251234983,26.99386888417194,27.65924072864999,23.5359114225168,23.657378943805924,27.40199312209652,26.11190569726657,29.310329312130413,28.93813978856224,32.15990442922188,29.836392747385116,24.664602538560654,28.610002003434005,29.213699232706936,25.735750685274013,24.99898451146113,30.403525203828956,28.325040788933723,23.20042638568916,26.1071791096009,30.055838682903538,25.882032954554965,23.793889102564453,19.419330883672238,22.84755283594052,19.526065305835452,18.657988022181797,13.827174911914335,14.457064964242528,10.67858680052564,9.370229416763905,12.174253572320413,15.432304358766782,16.960992180729757,18.651063218077617,16.56713367960532,20.69173364639701,18.102695977511097,16.272854516482145,21.274840557588387,22.366556338112144,23.0406298964695,18.364729145290312,17.501580170019345,20.24836103312353,18.16584183131717,13.58980356171828,16.48907386879668,18.80048023525697,21.073311860137483,21.962599623445442,22.784222929846674],[6.919999643088943,5.276433519044511,7.87145179010228,5.349094696992205,11.265414586077949,9.849006436208903,13.368092741474044,16.72221128417744,16.81063277077113,19.689008773522318,22.37850909326321,24.03828766698716,24.706148729244312,23.832981714847108,28.5928395937944,29.70842972106691,28.679655941806175,33.27292982830518,35.962809538956265,37.8848161894782,41.53779283444364,45.03344393335666,45.673113622198116,45.104080610506955,41.62935246236117,38.2149400175182,35.74198840515419,31.940243866792105,32.54422974538528,31.638712894420507,35.34364100299992,33.87665587979446,37.257197608012234,41.281161118501025,38.925070531433846,37.645724073477574,35.86212489835468,36.89582020845182,36.397252157304294,41.35680969820537,40.00503522050368,40.78820795379378,44.91186835233564,44.62473922115229,46.746744019912214,44.96133693845202,48.602748592041976,48.071599909956646,43.12536986105327,45.90489348560396,48.8721391651078,49.018360012070495,50.44565329654328,45.57667752413938,49.57676860377576,53.08105009553211,49.811078070408165,48.90568819366692,53.81043629500287,54.31713516621339,50.63420016022898,51.73755305897173,49.689050431819666,51.88588810318995,49.50381595225175,45.6410229314055,43.079797468337965,39.86909100664248,37.75873852768507,35.34637546946631,34.96207037821864,37.641623688449364,38.933241909789764,42.332517178175465,41.12406054311072,47.248697866137796,45.71975319842535,48.110499496261724,46.81996494049972,47.70590315901588,45.113932095964756,44.29184730054427,41.49049725754902,41.7445394903404,39.25683288944299,38.276360845201104,40.96043338119095,41.14360795412084,41.707754081252155,44.39177472946803,42.48187467809514,45.54331946118635,41.94886305921057,39.53245635619682,34.81243508743203,35.1566321791235,30.881193835540692,32.56803442865317,29.49803868218948,29.931789763104895,32.221774601661046,29.985527137302608,32.65569958663447,29.590947031265852,32.57261938383713,27.56196490625511,29.624242816285697,28.272944502215893,23.84399010928535,24.464547211239225,19.717373803976102,21.59035903033115,18.777766178120213,20.528701594974905,22.262377023088405,23.07177063430373,26.97611885240994,27.942907600299826,32.85888288539413,30.761622332052774,28.08260419199446,24.797416688691463,22.492465788105033,19.70621629437234,16.610432119038805,17.993318222270233,15.201742777063476,19.21191528476652,21.060462822066075,25.994335578055132,25.01051119407447,29.145867911905338,30.710319213240513,31.49367848942631,28.15868322107935,24.73569772281637,22.124452633179626,22.310715434611957,22.199915318987372,25.345944142488804,28.119112982290687,32.85764151019784,32.16704080654082,29.426543869110798,32.25744355075484,30.564707528700986,27.416440675431282,25.988184024824896,24.56356785688754,21.489406921581768,21.605414789741737,21.145153098129587,24.537841197207662,23.799316424776084,26.061705439574006,26.99531473532243,25.884947028417667,25.85620451119754,27.745410584809736,26.593010286234914,27.234269023417603,30.9788708254981,29.709490746975852,33.958463455087035,33.56686813718824,31.505963982843316,32.67304611702677,34.1050166637038,30.68587785083169,28.002764056515097,28.04218580205419,27.158859860723652,30.594446975971074,32.007587956629735,33.14260926681989,33.404889533105475,32.704935907164845,37.227423143277825,37.28450584334329,37.3160207318428,36.028270989523286,31.53343954679691,35.53720417903371,37.93640127014514,35.79061340705795,39.61477908303996,39.01401507033995,43.57086710996274,39.24329403462822,42.353094602326316,42.20199346944072,38.83562075079133,37.11842420534903,34.2840603593029,33.89356098495041,33.28600106763274,28.333236477183313,28.623805210433932,25.248725765314667,24.00443175206022,25.27659468169268,23.69452161872964,20.357234171755874,20.37159197900945,22.169270871809537,18.058833827724833,15.061756890051296,18.493732198759723,19.782100579868597,13.608628283831525,14.404189508939208,17.222940608636016,14.401592281693485,11.080956412449074,15.234082366538829,15.239900642990893,20.092441794934263,21.139447911692535,21.342446378150346,24.016240436505193,28.988345566442785,32.024078080161146,34.16360772460481,34.2778990197714,33.7067107407892,36.06549537526733,33.78795143938031,38.09872461505735,36.68118668487199,31.168665663070254,34.58472917144435,37.62238324692288,33.48161555017326,31.965301405814834,35.721005603621514,35.100056178014114,30.668614306203317,30.993869663626015,27.16731874106183,29.705398770809033,32.09902902651102,30.37811475641878,32.43019798027619,34.22310841083836,32.06511975467062,28.443069518799973,29.31704450681151,29.8292061935596,25.539675941048834,23.828124661113616,25.389292759599712,23.386414547854194,20.15353249583379,24.408703777850782,24.580607789936842,20.21745907779363,21.291335829815203,25.220443324487153,24.431474098176306,27.5837644392307,27.16819217590147,30.861207140468878,28.837232957475134,23.710368392553068,27.86663848222397,29.042557172801686,25.744117088303675,25.108721177288963,30.82870199194981,29.325208277992942,24.337746445878825,27.197178658498455,31.539831624081536,27.896861080150803,25.930448542235062,21.50786831159397,25.709149638981103,22.731570683439063,21.15236613641403,16.44254212151531,15.671283692853985,11.046644401866459,12.001450391090396,14.442998808243521,18.187782227636273,18.98270633175529,19.55457750084155,16.552926379059773,20.10538147351643,16.905897423117636,14.320385833498914,18.464186852897477,19.23394845327436,19.208175313832204,14.9791059817134,14.064262798320305,16.01447147185917,13.763309541354037,9.277378067455137,12.421412578627725,14.47996213300895,16.88282001629062,18.0589944542389,18.907437617767567],[6.139892412030411,4.607857087799568,6.635254056042302,6.012705871266572,10.556515856351789,7.204751150324848,11.139901544934657,13.732277973540368,14.230386133818536,17.765956906029594,20.27585542146692,21.34100935634364,22.554493891675786,22.244689519862717,26.65459411330213,27.604316969148318,27.124955801357963,31.810199281611517,35.0060555527719,36.64876408139367,40.530850127115244,43.948131310127756,44.90236456314801,44.5519095728989,40.954824569714575,37.570345750992225,34.83845166562138,30.890223067631155,30.991234560443537,29.59379803711091,33.28783970134611,31.36517779662812,34.59409090411448,38.813637982458644,36.564518512694114,35.66086299863457,33.630653291396435,35.28076067884955,35.00554430588285,39.916937989024845,39.039987541511536,39.65729061079126,43.68814815746433,43.729365215332,46.160413099017426,44.646002684126316,48.295035460304575,47.369751747877004,42.49807910252544,45.3005769272437,47.92610399760306,47.90159133363229,49.11304013167442,44.26557234869119,47.86978153507173,51.635616642770515,48.54721005238865,47.27253331335159,52.150719419886094,53.034759432388796,49.30028332913478,50.18285016518813,47.95978533003489,50.5014184537151,48.25252767757089,44.18965598064425,41.88048609481685,38.4236359738602,36.711619200313166,34.04365550855716,34.01274944187573,36.79938723595433,37.66391654386696,41.1611429769127,39.50752503227848,45.50739173630294,43.94572423845598,46.02784101587544,44.76612495250472,45.77052887746867,42.968649986640294,42.366741605584245,39.22844007090602,39.749039455188615,37.55078176253851,36.34324827708737,39.17058189157574,38.905716678386305,39.79405910035379,42.098692270464035,40.40806002973032,43.49057261179225,39.81567123083799,37.16373005342949,32.51635020284225,32.85648762552853,28.688535422007135,29.881057550554466,26.62363627035132,26.578274159250373,29.20501195866921,26.713011039842335,29.790193349037917,26.657950725413343,30.027179175339263,25.125822610784514,27.163791624260305,26.262188280650825,21.828577618123397,21.945544360148485,17.31917554488941,19.513986292169715,16.62817275669493,19.123707120401328,20.907547911626153,22.35409710893251,26.16641467189786,27.721251700384084,32.44904164820737,29.852126932739736,27.472109946393903,24.002142554794574,22.317080705145916,19.20750790184341,15.636501334573541,17.23129136684102,13.560957781997326,17.831865278534124,19.57656852710437,24.282019938863833,23.972152190763357,27.84070700599464,29.698687718646646,29.903426671811758,27.178567502731084,23.74066732754137,21.855919445941893,22.12599020547149,22.330866132803077,25.077834855727037,28.44248534253619,32.97035749835476,31.83362790023486,28.88293245174351,31.392897698635828,29.24568529948151,26.218080722510102,24.220173828433303,22.45601524534209,19.041780532117777,18.627727441392246,17.826978550863977,20.899558904203428,20.013592534890222,22.516567599575808,23.571571477645357,22.83300673466952,22.782427927729717,25.09183012049433,24.11139762418721,25.507671260309422,29.266908153926096,28.72104285332391,32.68425216594483,32.7482248680509,31.324660744977326,32.358271964048754,34.27571715637962,30.9164698124084,28.197057985987737,27.783747956416242,26.644646985405394,29.516282973960166,30.499125651761496,31.28265035146263,31.113476118929952,30.346459973002048,34.65743309807105,35.16573350306983,35.11086954474589,34.385510915918225,29.60611515092919,33.93887776740858,36.6069177929839,34.64226451359152,38.45160761026342,37.90814559368489,42.672804659659974,38.77271308117126,41.853281186290715,41.79513306982324,38.194139445137225,36.626427318886684,33.751082899258996,33.24049335391671,32.70858846631489,27.80421386510909,27.80657862254181,24.52885893296581,22.600772359222713,23.88235469875181,21.663157483230304,18.545971926594365,19.275673672811898,20.550536374198693,16.050201055337446,14.372917432359827,17.53184745829148,17.80438257628916,11.984953688502063,13.670398776465266,16.06398761593484,12.53684711201131,10.438580965082854,15.128778123258183,15.55702045211962,19.660470339652935,21.767157655164908,21.184340854106257,23.480483469995885,28.440577492459084,31.42209249433075,33.45467320693156,33.01769022110077,32.39455390784102,34.49400223198492,31.989506407474334,36.54646593369834,35.51484255917852,30.03312705590925,33.230435679530025,36.693052387157856,32.85075752930852,31.160801407747478,34.981702259310794,34.90449396765084,30.5642666010168,30.59600951952197,26.517616920358186,28.296966638949762,30.56306095420616,28.54740363063893,30.154487382251567,31.677567421047705,29.309360552693867,26.057779505361687,26.769239270315232,26.834532558644685,22.59823670960649,21.243724942534932,22.44886142235459,20.196942085600256,17.378477139820745,21.876385958693366,21.76737422753079,17.3848937864483,19.14369076713842,23.12333167512595,22.642552120698888,25.612392971322926,25.089731868929007,29.06652504064636,27.37497215518706,22.34974400712174,26.50936491356042,28.1301712017498,25.063043719267736,24.45003488443189,30.285086317183197,29.292686090475105,24.50154272378054,27.213630725585954,31.785964890008508,28.64615448157552,26.78812107118052,22.470917362055467,27.1678057325798,24.55565145247503,22.595376489221373,18.09381378332806,16.334547883632744,11.564637363997651,13.937703746732762,15.895082771572834,19.765422506935586,19.999458727971327,19.695923945041542,16.2337200592875,19.170485212334796,15.794727864478677,12.608220771112514,15.82419269954751,16.27383949225234,15.8010494393573,12.055762200613794,11.049019730020538,12.349537960311121,10.149419973260086,5.7603189583856365,9.1423097388478,11.217485536775209,13.701314290230425,15.042893246711108,16.01294007616883],[6.351035724151869,7.046095404623531,10.426899045516269,9.521073234986517,14.321797968150431,10.011667479336307,13.406705470130209,15.472980906194374,14.920487482563109,18.611890317578965,20.536007109378147,21.634518820841386,23.59880264922974,22.791645281423857,27.04627457080535,28.414061483241078,28.291054304368934,32.869665320044,36.13826491153292,38.1107606690107,41.95695458527958,45.60587431371589,46.468656775100655,46.30332498515873,42.83030550440455,39.2110335012332,36.719965113277375,32.61525032132473,32.49847777193655,31.02850425246096,33.98551683698156,32.39791879553641,35.25657908150916,39.58421857044051,37.73061935390509,36.98109536395428,35.285213643529076,37.18372287974796,37.209586256204204,42.41819337762761,41.47816257960871,41.615106602224614,45.753414445606545,45.97096926105318,48.35276355874596,46.97286516048506,50.71783779357441,49.809988990161074,45.05261228585776,48.12743379868817,50.61876267357271,50.723876519411206,51.7459161075263,46.81958939138419,50.263522604469784,53.99967589421353,50.786136360047294,49.292554643272915,54.18149477161826,55.105660175370716,51.10168301848254,51.66306030802698,49.22299352045319,51.690047443554384,49.697387119304636,45.64893952376273,42.94412981233178,39.38113305974245,37.41240039953579,34.44759081269587,34.32064412834204,36.774116874728904,37.79430049153397,41.60449142472802,40.076651810132525,46.090801753766286,44.986656070422,46.96082755935968,46.0552406507134,47.38234579138286,44.79616379808429,44.56813380483299,41.453550222306106,42.341017215599024,40.172463933173105,38.58395251874249,41.11391043727607,40.637952214765306,41.229405673520816,43.16547140789275,41.21530169936001,43.933983615188865,40.11520919652678,37.417656968216725,32.811546423235015,32.678465637477515,28.55282020132187,30.206607304876137,27.08982748627823,26.99904847004592,30.280138070428052,28.269469757849116,31.64519040682511,28.98747782848965,32.851136062107535,28.15175159720722,30.38189568638453,29.806860375355114,25.43777108243389,25.183785060243885,20.59814610415243,22.511674169390282,19.132100736048937,21.672360111014704,22.692035645405014,24.281108131953175,27.82190048286563,29.48253201658157,33.7473096792319,30.9721104873843,28.45045089371672,24.999932918809016,23.71155216611566,20.893141363027247,17.53354443380771,20.005645495937824,16.848652406486423,21.20971164914285,23.202725027217344,27.77908710707634,27.80225344292735,31.651060369143455,33.45437265781625,33.43865726590533,30.774445529287362,27.14197292185695,25.531959482689736,25.364986422030853,25.155724546961327,27.765268972483067,30.7921890794615,35.32696131501956,33.96188526000736,31.183640216225104,33.73839324056164,31.32733123090272,28.406550629493562,26.295654546991955,24.78995394332948,21.00639219462243,20.79632053345059,19.077323866995787,22.13721460692217,20.2069889871393,22.750817747775613,24.501417341905356,24.027966244417353,24.60511973512167,26.842824270689118,26.625098776397238,28.262673575469126,31.639294266151488,31.37930212081692,35.36915144181562,35.82527127215354,34.42102904927492,35.77126319858029,37.706719789223804,34.4926707049828,31.58333043342696,31.266831108465187,29.860413188867643,32.67167836048435,33.49303893116365,34.000609321969705,33.70829467932062,32.49502316897928,36.927409332493106,37.710565060746944,37.862117409708276,37.41271395536769,32.718434484291656,37.31342178539644,40.08121535650412,38.03645502580849,41.57429498524327,40.759304692335256,45.67716475469759,41.83124612126092,45.09154316233099,45.22805717918159,41.61378847773725,40.263063845945894,37.480223029946806,37.07052306400078,36.645220965849305,31.75267279860973,31.778073560878433,28.51488749414066,26.4764729811734,27.663825759954722,25.241443500342324,22.302778040189995,23.089021410337978,24.042724035563758,19.50350930823104,18.145687760560815,20.926902114955542,20.679279536565243,15.073873729576553,16.58025786804067,18.432487279912312,14.566974683838833,12.597641221302316,16.975746539062804,18.038053808562168,21.667913655855216,24.481719118988472,24.148688115576014,26.112558699016983,31.28396405734214,33.84691675987001,36.26251214518728,35.8956427899947,35.55022833224963,37.718272738680966,35.336270239529334,40.00687705570857,38.961168478003,33.65366516120215,36.90295476032396,40.40636810556606,36.60566171697561,35.01740435763746,38.890119823713086,38.775308115742604,34.43001413308409,34.59103018918659,30.45112966926546,32.13762403980311,34.311723923291176,32.08316334180246,33.50447132279482,34.697327952730944,32.33382892963748,29.378524920919393,29.697038784358703,29.462542992232066,25.4764952189511,24.200021656192735,24.79857425488103,22.2833164198481,19.84761318950518,24.12817766600993,23.451081824056402,18.839476226154858,21.049873718425182,24.957200819862983,24.96665924096365,28.16307306886531,28.012111882991196,32.05238238891798,30.128297775589736,25.43984939660628,29.840409510880498,31.322253079668343,28.225957145761573,28.01954725172576,33.76258619231807,32.55441005906519,27.954367117282278,30.915249843302195,35.29436013308073,31.97451634879956,30.314721910495535,25.913947921525086,30.34446721336449,27.44577863088183,25.24188836842743,20.98254417585481,19.604919581138773,14.89701645447079,16.967082901602584,19.336965241870896,23.191172882073474,23.737786092272376,23.55198829355416,20.241165994942307,23.149087044854078,19.661084366444673,16.472087179799257,19.196465580516282,19.296028223628234,18.346402710857728,15.268033129892041,14.037158766548345,14.339491070424884,12.345007893769822,8.642801880997146,10.93515770395957,11.657699686099463,13.91935779458549,15.459200297974004,16.153696362481472],[6.377058930853627,8.162533729468269,11.143396217460639,12.998620100224395,16.51663067251089,11.636893098064213,15.233997572108194,15.845564594435047,16.284095741903066,20.74023148043198,22.295059155809962,22.261395087738908,25.084186554368017,25.207480734585676,28.79676987384841,29.8289819621025,30.48085515797188,35.094748925723145,38.946637244266164,40.44726528011887,44.54558331674627,47.97573802940791,49.2552970854357,49.27935084999109,45.655499963991176,42.201817367650214,39.35055834062816,35.20106244724448,34.49539919040196,32.34141642654218,35.34620003972099,32.9521015857799,35.49557184203042,40.108776498034295,38.41605461655129,38.28417974574105,36.10713865766342,38.85057084131019,39.05185463846623,43.93056061396176,43.68535461780296,43.856072524159934,47.76888728646582,48.3227099794517,51.07898967341689,49.938873254753695,53.61019686304471,52.24872019739087,47.54994216764898,50.42950307393039,52.57655290104235,52.34974641810793,53.204312090606436,48.42072204809402,51.33711655868338,55.45131501483073,52.60307771129792,50.702062900311674,55.4956684979514,56.94288609475209,53.024896044721956,53.379473078515865,50.76462018147979,53.73099252125102,51.87405702433948,47.58667589832895,45.35926928113933,41.53156171650707,40.16312963267639,36.93905375883143,37.27646668511395,39.82549087266845,40.28079999603747,44.15754471781748,42.0210043392277,47.76401519968952,46.56001519123405,48.03412327241726,47.11016594461313,48.51330726375083,45.52244302011496,45.48041393813606,41.81054261609867,42.90004209560955,41.23318167942874,39.56323729627557,42.430045098159354,41.30859747323691,42.539784327828556,43.90212794070973,42.4010815965673,45.147661388395356,41.253707189103324,38.18745935709331,33.807065917910194,33.63566223823462,29.810745000378677,30.530269858560985,27.121214776751838,25.847495288525444,29.83297527021775,27.087108426986617,31.22147551921521,28.172429178924585,32.31023814616388,27.79515821711694,29.469353062388347,29.313000631872917,24.977332403013254,24.375532093047944,20.452355305886442,23.24315838692025,20.370830488228926,23.77446473609448,25.16552880160217,27.37611826527712,30.821649782119103,33.02402604433293,37.178320353974854,33.93493526567208,31.83502240367568,28.262918343408643,27.538940143379513,24.40870659343461,20.65219710633994,22.76574431389909,18.386135966772066,22.66794696442664,24.003572444443062,28.18318212956291,28.584302457046864,31.850860367899067,34.2811512702004,33.770995326148046,32.04588960669885,28.791427724263837,27.619477663087387,28.094030075506055,28.509935010109608,30.81617370264533,34.52152548390238,38.81719612359553,37.162258160762995,34.12367212146047,36.24548340693402,33.45204082977898,30.711750884134926,27.952270472652724,25.850585034743222,21.8754016102869,20.4757038089026,18.3825952267304,20.154059017339783,17.646736914824015,21.12605639736926,23.22379322442378,23.719264840793763,23.995080108901877,27.099327928764996,26.792094161333477,29.496422618591094,33.050644445031246,33.595537436955894,37.11183950262762,37.81920357267296,37.11107701819678,37.96581973606677,40.30106083424637,36.96991361081288,34.337771467580914,33.50886413227762,32.18606692203896,34.331433814089664,34.68889147441998,34.87436840368823,33.92226728126643,32.930650631690284,36.74572521767867,38.18328435502356,37.987395562227675,38.270161619589274,33.11435289514678,37.80672633635502,40.80650015149244,39.199123529635,42.97344480834566,42.50283270072881,47.49266794451182,44.15431605953035,47.16360421389928,47.16653707937489,43.34644584507147,41.86664107213348,38.90933950591223,38.12459764044473,37.44546106787455,32.69170381398415,32.040101154197814,28.664205180889347,26.113675262502454,26.59843392797567,23.63876613232743,21.476838221378323,22.4080640246436,22.2657061409996,17.768593007394333,18.01543996360016,19.64014481784954,17.906430538592655,13.413124353493998,15.330549175517268,16.015015360356152,11.600311278209375,11.437695445597257,15.532433422434048,17.423713161373897,19.523916222668227,23.98343438801162,22.949441292637452,24.075850088398887,29.23268951062746,31.29815376047007,33.88155702162477,33.079342524265016,33.037664465718265,35.08805832312247,32.86341350675087,37.771875037776056,36.928565344934995,32.09273412782718,35.295442428034235,39.05957655425296,35.656718620044366,34.26421425783805,38.31337467898145,38.52128666288371,34.34665123486678,34.8324262540088,30.19972451617334,31.35557209063312,33.01518697975096,30.116946645329744,31.132811645981057,31.587908255972206,29.494556261196077,27.063496168374037,26.474074034835247,25.89560652117198,22.52343181273705,21.18090033008054,20.82897400228633,18.099033261820548,16.24302105705931,20.134922438680185,18.818572646694985,14.200921136540183,17.11141554437334,20.82191006956117,21.491337819403924,24.659637661443305,24.908525788757593,29.068820753781218,27.156072424406243,23.124218656598025,27.701058863400526,29.29992968887378,26.496227445839338,26.909965328212433,32.42314344334135,31.49572592312328,27.54413019006707,30.658898507450708,34.84763407265742,32.00838145708053,30.869936308823164,26.629017618581877,31.276774899309224,28.694658319551785,25.75573441187161,22.222957623779287,20.02703729512462,15.705924808397455,19.049084680883873,21.156649662584364,24.989292733542204,25.32163640909773,24.126560468570837,21.234822664269004,23.561238293976555,20.713428446146054,16.547442608785598,17.922482903257826,16.921483727498725,16.129647878529635,14.372576510776423,11.882162294984116,10.983100413702081,11.092221348807549,7.724992695589469,7.394604545156933,6.845761411157167,8.934286888920807,10.76163592026936,11.667931565356138],[9.035489912637667,11.975112332838792,15.729599013666462,17.41074640542605,21.411308420112423,16.4353526770354,19.789975976031307,20.095992457406197,19.897767733522066,24.344303984025107,25.366917064390535,25.219031841730686,28.68646324610601,28.48683825486079,31.81217237438248,33.14509264212943,34.14172841310496,38.62099861736965,42.53042623895875,44.255513510278426,48.31737883304563,51.900106362372654,53.12366864485362,53.2928024555172,49.765861994562506,46.1598857040914,43.48531479837517,39.24652431805426,38.359568898290405,36.112475729726654,38.47358746907961,36.28722811596833,38.40674528709921,43.110266566533554,41.814959890251394,41.900173607759655,39.9468170833033,42.94739401770825,43.370003596786404,48.40083142536419,48.15949262243917,48.01078579782432,51.97208713490964,52.66684509203556,55.396705586050416,54.34600754535995,58.06849821499456,56.7168689985077,52.099968447243626,55.12522787117791,57.179228703324384,57.00685607080328,57.731067420266,52.917837550428814,55.66293011831981,59.79167802293925,56.89994869377976,54.803756541070655,59.57571018103304,61.108437307475356,57.00506088269666,57.07901921647285,54.27307829914548,57.218760201792485,55.59835865101941,51.32061736968584,48.82056768854237,44.907470816550635,43.37617131269735,39.90705275687681,40.18516553571373,42.40271222804544,42.955466355161505,47.09081584144559,45.02832665090757,50.70162330532746,49.90567839319147,51.20142245617497,50.595360999101125,52.26973416720209,49.40807317892501,49.67305100387945,45.960315898003174,47.31890099186862,45.742870008059256,43.82366672391003,46.50136783189265,45.14138492312922,46.21446654127599,47.168435289542984,45.52045883550612,47.907298364906104,43.903608475118006,40.769857211389215,36.53589479871862,35.89853546145087,32.244013821393345,33.23247460111874,29.981378689939184,28.43734099349509,33.078565402468676,30.632122140854214,35.071585470009644,32.3289628245512,36.76281869201049,32.43045406849047,34.06147113703171,34.090734349318396,29.800175088668983,29.055158625471783,25.297480437083294,28.028302595062446,24.97209086495141,28.37667434700869,29.32775143618962,31.59479857659586,34.85023914691326,37.09043981580053,40.90906878868206,37.55516268320875,35.37086387291329,31.856490762728914,31.38608104074841,28.48101188897915,24.899076005228316,27.437093409239946,23.31436999081045,27.6129175891969,28.990051351483224,33.09614149632274,33.564904305349685,36.75963863638012,39.26084727622505,38.6640699330739,37.03383422552348,33.738327903461354,32.58124034904204,32.930144189794625,33.1363988729358,35.42888465805995,38.900524601570424,43.224757021764596,41.46080937655974,38.54062637243667,40.69018209547851,37.7333074942421,35.07937769439659,32.24731850857096,30.28854626907339,26.13250496823922,24.77062366190461,22.075330103349053,23.483030125923356,19.97768923326357,23.59290654286749,26.341441764537546,27.239579179713825,27.930387705691373,31.05248529941847,31.23958863034657,34.15396608338118,37.47872613993401,38.22133240863506,41.72994489477078,42.64323889835831,41.924091582525236,42.906701877034756,45.210844106501476,41.893413519955246,39.20955031022116,38.455062141450284,37.05817707672566,39.187198376087466,39.44564184357219,39.45342983417498,38.35289638838746,37.109935812313644,40.87425135882292,42.589448817649206,42.47038501081631,43.001131711224886,37.857164492280255,42.65493909023169,45.71078420927908,44.11809228216466,47.79057033692922,47.201809059004134,52.2700586619031,48.96648953638172,52.05443557994918,52.12120142070064,48.29721188082832,46.863049735754544,43.91081064409114,43.10826662140388,42.369211993643475,37.62225909538587,36.86187943837574,33.383270948783405,30.874608835387583,31.020660307956064,28.038009292221318,26.166522484585165,26.840411889701592,26.3156717999836,22.052004506219212,22.3865139152364,23.475497652198207,21.344802601412916,17.340166515052324,18.765509551623047,18.74516210161574,14.514858401094273,14.459962815337661,17.655464931836114,20.190334341558387,21.471769163818635,26.707200993071798,26.001151925224974,26.621848833660273,31.897263133808814,33.30084083908563,36.384725941244604,35.77476892669888,36.18629782886327,38.38163221682977,36.505262655185554,41.45291944058194,40.473173790094144,36.02358165790416,39.359851143677574,43.032766486079694,39.69607659541181,38.573065616379054,42.71337448015432,42.74461765957549,38.58930338250765,39.47465344365615,34.69355540313206,35.951894492030036,37.38945743812866,34.1932443109701,35.11595141380589,35.08695230920307,33.280194886859206,31.144477794297632,29.91328027714814,29.194750091365687,26.35878054529893,24.86634977463043,23.793662173684595,21.009395282949182,19.565497576914463,22.740974869703926,20.786245077702116,16.257569769248356,19.275821058888674,22.5960347246051,23.87368136398768,27.27864173015673,28.133837884016554,32.164249590780685,29.86027116282413,26.45746424459976,31.26618114644981,32.520053423901025,29.724412033686814,30.75197120374646,35.99243029492736,34.724624142226205,31.15968964077191,34.62188758053746,38.4250558748509,35.39710131385304,34.61835001141977,30.335955322027882,34.59914756792165,31.75965912367328,28.475643477209008,25.42716264121709,23.643150019477844,19.573598727894808,22.62072171756826,25.099264482670936,28.865111064967454,29.583111057126178,28.470943186216893,25.984071428146773,28.41431944630491,25.70428841989483,21.447524797724792,22.617580849876845,21.21696839084446,20.40809004957553,19.20406014065388,16.392337366343483,14.962379177137237,15.691192086421466,12.67777325302585,11.399734696050876,9.300454076445748,10.530626690296796,12.228678777806627,12.82620363482884],[11.371051402894512,13.749391842393743,17.201703247374446,17.59864393848498,21.53912927234842,15.826542035174601,18.499496697315816,18.665525740489503,17.476848583026275,21.69916526364049,22.298076422289633,22.364280157586077,26.100378478451585,25.455103370222893,28.64431347569725,30.290077066680333,31.425136163961696,35.743526473084174,39.6215039333992,41.60491585153159,45.58038360765827,49.33833465968826,50.45527544386766,50.789375749804414,47.391976755115515,43.61496205316445,41.180255035525924,36.86077917991258,35.85634912765805,33.6967102567017,35.46215175444253,33.73962721317866,35.653937319132424,40.29903371782076,39.26235342724664,39.3161328940638,37.77135644335222,40.766282963543915,41.43236803383992,46.76907982329552,46.369388975259916,45.75405862363541,49.807677831731404,50.63455993273425,53.28473954924309,52.38713687059203,56.19005240784467,54.8607026945521,50.39356338005674,53.725317792091325,55.637668322658534,55.66461121584031,56.1964891545231,51.29634025244461,53.97090804821001,57.96499461228363,54.897973171431524,52.67992217150011,57.45501291119457,58.92040797001025,54.582152754775414,54.418151220195185,51.49084743594625,54.28012530322252,52.85312681821627,48.64755527674002,45.811430956659414,41.88329473885855,40.148855228056014,36.539194958925556,36.74254158727827,38.73692124078783,39.38133551042911,43.66415237456012,41.76019649764709,47.438650024543676,46.98177515511694,48.29552286220432,47.96381947063081,49.86742247447921,47.31677317677646,47.870266630178946,44.3771034593915,46.034580897096816,44.35651952133569,42.0896579052227,44.38828963017527,43.01796996575534,43.675828549957416,44.47680589566413,42.5439704544504,44.66148623463085,40.61456222820161,37.56765916428897,33.35468406114256,32.43967806689564,28.804201309229324,30.29164070151096,27.28440386547937,26.1876071498208,30.94673134629708,29.264166458640922,33.554817739552185,31.481793860926263,36.26435439064263,32.14020135687953,34.30732808854286,34.61094855060604,30.466057073413516,29.33519534415724,25.352193335719626,27.35746038510404,23.754767023629597,26.96828973682197,27.193367974935462,29.52282118462088,32.47695228570657,34.81042704472175,38.171213679603106,34.709919937923004,32.48308985394594,29.053391105369894,28.96559696077292,26.326907671894595,23.00500316013956,26.244650117842685,22.867432463942425,27.21404546972743,29.101193340873976,33.10968965796978,34.05289649500052,37.43181451384322,39.55801454162177,38.7296654740763,36.92253473810065,33.275666117699544,32.56288970495369,32.221468735522684,31.98219291157493,34.034457754062466,37.213653443866235,41.44534319842262,39.42223662467539,36.68896547124859,38.856212088101756,35.71481179453417,33.183846505797334,30.37920160858254,28.81425531241455,24.487724431106184,23.72876187125157,20.484522623523098,22.434731463281118,18.53125051917018,21.54386552020627,24.586350530681077,25.276455778636755,26.59890053582934,29.26698634627089,30.18672811187613,32.98822879852813,35.843550578500746,36.7524110288506,40.30764577129315,41.644145054148126,40.953655504392785,42.38887677947268,44.774225581686686,41.740960827454614,38.72929049523462,38.071728056954065,36.26579139393474,38.35108188350189,38.49715522679363,38.274836123653465,37.2644610476884,35.52039703027236,39.5773619521795,41.31721113359815,41.54659431463436,42.15233649888198,37.302141598273124,42.38645775388721,45.50493315296329,43.678344980512705,46.904446076856374,45.92524310914577,51.14877376042855,47.89538643997563,51.23590828242417,51.622484100994825,47.79085752429158,46.765018585217675,44.02699399456357,43.523005998116155,43.17371890952709,38.426658066488905,38.056217663954875,34.86667642053483,32.172995333772725,32.96597076665922,29.810473257604087,27.60142941181781,28.86217757696163,28.737913929665126,24.179045930647156,24.43900542124945,26.188049293215204,24.26817908215217,19.945214019894784,21.72206309860567,22.207109478702318,17.806976628399006,17.49061212909256,21.20828039038407,23.3754597124758,25.277242116387463,29.983973111795102,29.264376419572365,30.23170680472678,35.472199900415795,37.18634316315046,40.047980984529836,39.257828402247625,39.37370127216552,41.36635957419351,39.1181454491516,44.09283112837879,43.373330863302655,38.59112416034783,41.69327942343011,45.56143985428692,42.20207866028343,40.73233099963172,44.7258528843579,45.01892906954403,40.827852357768755,41.0952786056802,36.60170221627478,37.509131146622515,39.25285137198146,36.36736542582899,37.06324340271187,37.30228535862135,34.98300907958068,32.98310444625783,32.31290429856333,31.225841795715972,28.06540249758232,27.18296156333297,26.324445641598665,23.366393389898946,22.194305160657407,25.846538248158517,23.951720048084592,19.4671530768737,22.83165329903549,26.278854445011966,27.428287097977865,30.621053887993867,31.054356038909333,35.25480102176686,33.31197722913146,29.55358059102847,34.15733106539419,35.73894728521934,32.94508472304945,33.470258083538106,38.960776832646744,37.91940579169105,33.98688157517385,37.16222142576887,41.31580613355898,38.289637515265994,37.132105085173166,32.79882071360111,37.227971186999376,34.35287515465738,31.453958876043316,27.900212283929125,26.18495407990672,21.754320221485234,24.49764101216166,26.916479013032394,30.775125738487738,31.287253246249414,30.440254681749025,27.259806578191693,29.573563247739195,26.206161232497728,22.514923119284504,23.59835820974022,22.696260031167657,20.99429477059107,19.792817181977437,18.009858112896037,16.243063164295528,15.611543501057778,13.60975148955219,13.586452440508191,11.800147736772539,13.014465521766123,14.655938783325809,15.010399620295994],[10.01119555061533,11.864662866814705,15.30642586527893,14.734250114450106,19.02238119692185,13.566519916838576,16.22673564474353,17.143201908053545,15.673688519889117,19.594627116918595,20.560786624190474,21.24834076143274,24.368395515841083,23.354955047528897,27.007512857813357,28.73090258593931,29.36505255254061,33.73775816263212,37.31765209101953,39.46806510034619,43.343061179930125,47.1644727428699,48.093786387115664,48.27826090735044,44.913652269969326,41.10019655731421,38.77594666932506,34.49706173093209,33.84507552796076,32.043769735160275,34.032343411331546,32.61907471130098,34.858803271125566,39.35184170832652,38.080738684660545,37.752549245047724,36.34689315172183,38.84795400341288,39.34550562432982,44.7891775081094,44.05359043905629,43.54769274326948,47.70194643479755,48.30849214941209,50.78645096818773,49.730065506827366,53.55156269381739,52.44487533212401,47.90864016531756,51.274782235652154,53.399540809993525,53.55922963460481,54.231141770099995,49.269700517176474,52.27053643656418,56.087379809203256,52.85973739470906,50.913532607069484,55.75096388105261,56.93192199728011,52.618512877284594,52.66465287040444,49.889943735370636,52.44573245609977,50.858976566764724,46.758379610562315,43.774931970323024,39.99689791649739,38.00440547464943,34.594152167790796,34.5756571677258,36.640078154950785,37.553941233126054,41.73369898451479,40.10942775767279,45.97272982782958,45.41353272029396,47.04462310821401,46.59995580064012,48.36632828457448,45.94973476535279,46.291149074542275,43.0619871941117,44.51388938121196,42.565121672466866,40.436925006218885,42.659828554175775,41.686266310359414,42.102227641395984,43.34041652757868,41.23678672510363,43.48119480208686,39.496030737000765,36.64533141517867,32.24168373136366,31.51062938805659,27.62886232053152,29.503782697100508,26.55642043184016,26.121909399380616,30.318970059306046,28.82849447010482,32.67951248344501,30.630310060686462,35.175984342747086,30.872394512389405,33.273296808798456,33.29737807142259,29.097252003509908,28.20120864984067,23.865313885943294,25.54534403784674,21.77119783779791,24.605484304445895,24.799462224379994,26.820618179209532,29.89478169665889,31.95328398018966,35.49296613522109,32.29258806840707,29.865275480244794,26.45730928925791,26.01072117667228,23.45077900721452,20.255426526758317,23.552179891938756,20.630142756599593,25.00998221303411,27.153926056669167,31.379392780876515,32.09114662368378,35.74644823405489,37.593988964217445,37.04408130409932,34.77941063622109,30.99073244755141,30.045876624393742,29.479518848144277,29.022572883093552,31.230799771950853,34.15910154616093,38.506307778873534,36.6685877238029,34.016338402388534,36.3912469368492,33.48836443581713,30.829161042465877,28.349990355112073,27.002546210075913,22.80335638240677,22.557732975016147,19.691144543029207,22.37874233353629,19.123412628709573,21.70495107100237,24.34284737739746,24.43142287134311,25.72901485570131,28.018389287095488,28.78006653739967,31.025710124090267,33.901703245965145,34.35284361346201,38.143878483432744,39.27087071151891,38.24524535506665,39.85199637039314,42.0466340728708,39.04761360876091,35.94492794532466,35.50347091298757,33.70480954573486,36.115094159346015,36.52117682217504,36.524761583082004,35.871240896430514,34.129890665412965,38.49827322075333,39.83153058819023,40.17864664844805,40.346406709009884,35.68165668290196,40.67182379460181,43.65972522507747,41.63675638239531,44.81743974383994,43.734331310915934,48.89175755725971,45.37310052651171,48.79412898205932,49.201182232330986,45.47098914703609,44.46029066340795,41.78668877207231,41.44028911300295,41.19272075223763,36.37934831893102,36.31654822802341,33.17751503666978,30.72065617433202,31.862664992088657,28.96660361979547,26.350068786390676,27.560579461183487,27.98796160298108,23.34706635207273,22.8984830158693,25.226070303793847,24.037525852807207,19.076659544808713,20.78584780002584,21.910919267227385,17.642814234240923,16.557989426383063,20.615660861082432,22.321222736268602,25.063657691632226,28.91222677603008,28.423441356107382,29.873889903864466,35.12463741497892,37.23026350152013,39.91362918058267,39.29898403452167,39.18016848205318,41.22521926723995,38.84033020977964,43.703789972064364,42.889393775101595,37.80135654217721,40.92575695166035,44.67979751628853,41.10907666849447,39.509885971801836,43.415750281630096,43.5766660499129,39.30064282952736,39.37301342296937,35.11603636924886,36.28091921495044,38.299207619431805,35.767945980976336,36.71701585115769,37.42199150692549,34.94403329042355,32.5735534779806,32.44697277362273,31.616476971970865,28.01511910178734,27.113859830196713,26.886406305171523,24.037636140005276,22.39533821987665,26.429517710679068,25.009673767856412,20.402836070924074,23.40098738132169,27.09449121763779,27.7772602976542,30.979946326627292,31.109521849942148,35.29528732760424,33.39602181049102,29.170531947129053,33.68285215397845,35.27146491746629,32.32433586090444,32.459157095102654,38.11787880719477,37.00670449985015,32.70460005098254,35.753575392333104,40.064179811499045,36.85996733835518,35.409169533051504,31.02069334060793,35.42880925961252,32.477525380014484,29.958556614404984,26.014467943416246,24.5509210038459,19.930495947169902,22.22503337716369,24.66464463488463,28.525637631809523,29.0544993703161,28.611966007906965,25.208028569535237,27.75677042513596,24.12000846900018,20.829637736812163,22.56691746042764,22.210211629519,20.529372911468354,18.5579272781955,17.276714107104038,16.206460840379844,14.585423189997101,12.229477885509308,13.386428331201207,12.533418751739436,14.217441300714091,15.887522667803832,16.298883926710936],[12.615916051861456,14.811538935926071,18.632933938729952,17.593623484375417,22.239419363078017,16.943671425914175,19.323094602327522,20.295297219579616,18.212493427059325,21.762668391764247,22.35525103577809,23.283797233144316,26.57940934904898,25.042263096842635,28.590990933150728,30.64434650908826,31.314484575456582,35.49354846694648,38.89549619288752,41.36380271175066,45.09081256736691,49.08506049798998,49.827531192394744,50.083838207871,46.875785971653976,42.912202020442564,40.87514751785012,36.58257542274562,35.95906761773036,34.31523888661614,35.732161262276136,34.779108378233346,36.76601022079435,41.18962687147681,40.193821867300876,39.83691101805914,38.78641440892463,41.20852356530965,41.835470107147025,47.47379200541276,46.53419882521784,45.73705676775366,49.97475286550859,50.59693197386987,52.922766231837855,51.88671774095705,55.75930315646728,54.799075011418516,50.34302014695787,53.89069705818124,56.02138902950878,56.33512354457756,56.93792221892612,51.92667964136033,54.93912379288687,58.62398819229752,55.249771598162624,53.2796902417263,58.10908148970507,59.180622448241365,54.69855119436935,54.57383414708086,51.71318628597819,54.06367650847237,52.64361725593676,48.657662587027225,45.30447124545913,41.57516033470381,39.265180932804945,35.76747715284397,35.543537575106185,37.2543750527832,38.4373345885689,42.777467298878626,41.44157365448173,47.29322563795567,47.11708092447735,48.76593583094878,48.59376279694047,50.54940222176771,48.39366249426232,48.925320475123,45.86318318420463,47.46484525789587,45.43932245770479,43.13956412970164,45.07949454411555,44.13013733569146,44.19605960269255,45.287734406390335,42.91893680584915,44.83685268767527,40.82024381937627,38.075685045262546,33.76052466588997,32.665977960338964,28.878113431220374,31.27670125998889,28.600047781467868,28.375449729131965,32.76990100848504,31.75032714432647,35.559401138994836,33.866637227763924,38.538665904281274,34.328824553147214,36.86607016328332,36.922180915790555,32.743000776915785,31.81847283041234,27.432119875744508,28.853984974218303,24.87441418767271,27.455574707779675,27.18820245042256,29.055873960539024,31.9227802987771,33.83862799615491,37.042676901738844,33.92669253079181,31.34587103617804,28.09804827488921,27.751549516528712,25.543907175783268,22.698733315156993,26.340340632752792,23.929150091922878,28.284809177393022,30.603782741322146,34.850213795017325,35.549691514460825,39.302801121010184,41.01551062843987,40.511482667863646,38.07554867234876,34.167065106557104,33.17660975806723,32.32852271802152,31.54309982958797,33.75571306607225,36.266314383173,40.63398591879583,38.784463039104416,36.3430287096346,38.82740950489705,35.92342749773944,33.32466345430735,30.999104415507514,29.94596410076454,25.724136437383777,25.804921919473383,22.67347417601015,25.435597392762823,21.7702021592681,24.098945799319495,27.03492020503446,27.11290760024617,28.777185955010612,30.805754890587217,31.956220746967404,34.05367975781777,36.66256373813924,37.05304752661738,40.933569204349475,42.17112723301066,40.969819259032704,42.82573470911179,44.89255338192966,41.98218039271951,38.76574007240009,38.51222400495307,36.61945369287268,39.15889371563571,39.602809521771654,39.54978009632085,38.9800239446168,36.98154777028473,41.4828340339477,42.8202096415401,43.341449695561494,43.487641967251236,38.9922559348636,44.03575684824341,46.9995963078766,44.85792619242363,47.85091799482234,46.55854658699665,51.742030964314814,48.133713540141926,51.68694610580108,52.2093478340088,48.544049602449675,47.64428657807726,45.04786595754199,44.81216732824007,44.62448714685777,39.78776692158216,39.84487425641471,36.68766393469971,34.34823340771069,35.49085105306043,32.66750210168168,30.018960750057595,31.093425397597752,31.558788527635386,26.968921126220966,26.270416430996733,28.57547590302941,27.470844502918077,22.458922150254114,23.895718367844715,24.930221503767303,20.775055891515333,19.42404030033878,23.145432718978817,24.992704339887723,27.68330729749669,31.54815847921899,31.392575647472484,32.78851065995781,38.128969155656385,40.021706135945934,42.9341532410895,42.51790307822064,42.55468788203774,44.70615561110229,42.43704619089747,47.292517940927816,46.368793185800655,41.337019782841516,44.54650455112984,48.21501619367033,44.57149117919182,43.050356867847874,46.96770702698814,46.9674763299263,42.649569201759576,42.83372097943804,38.6171390793091,39.94140897230762,41.9783824623382,39.44026952642021,40.42346014578848,41.056645735570484,38.62352368829615,36.28598211964895,36.04959827552111,35.19810742895944,31.69145915159502,30.739295063373287,30.362232750876103,27.49192671439106,25.902702906654532,29.75391480175059,28.161467376177796,23.539970317552687,26.48753226640764,30.082095642597473,30.912197329199046,34.258832350472446,34.589250010961884,38.7226386780436,36.62125028881811,32.52426280363417,37.145352205557764,38.549912970819136,35.523254489485794,35.825072201231855,41.42718839514355,40.068281497786884,35.796045888651335,38.99633709996715,43.163016642954624,39.726435332164534,38.33337100054995,33.88404224181454,38.016370744209425,34.835674817600264,32.328156646523745,28.48239236991186,27.436128058999522,22.871556893189755,24.72399789610551,27.408145953487587,31.21277313155292,32.00355814011915,31.841921573002224,28.55118323539906,31.263843379456613,27.5569797375066,24.41200723312044,26.285440852094904,25.931502552996818,24.19084487025082,22.25274698023092,20.973497069188454,19.85082722328147,18.22595070688506,15.90524409762863,16.919193665058817,15.71015593038988,17.191576650543873,18.76115961951968,18.976611287876047],[15.447326999310842,16.812616125937115,19.892004441616944,17.69508111679285,21.862698491182766,16.37589421259363,17.811267028584343,18.825358777897247,15.782818776266826,18.6716011090481,18.940090601050496,20.370212754973693,23.491878660871883,21.386404611646608,24.90522981916532,27.243353176975678,27.82030389117382,31.786216135391122,35.01142908311088,37.73425581408076,41.31325856306597,45.442954182846066,46.03584389034308,46.390840503993466,43.33650218515687,39.2508193067046,37.48550775079042,33.1946235728862,32.58849642754841,31.197675526873333,32.13798638136546,31.759628060241766,33.67949190108536,37.90605483966465,37.039331595800974,36.499156256334295,35.886679711218314,38.07825499512469,38.86160657069873,44.73224486287553,43.56465045773354,42.38761836325663,46.69245736263264,47.365461772649994,49.55747177856695,48.63806956661117,52.55300395682657,51.664859719891794,47.37663565578036,51.17071928816283,53.199405887505804,53.72478164432114,54.19019160985702,49.13019637129831,52.15053908235126,55.63185753889108,52.08386619664234,50.110413133265936,54.92486633540691,55.84080155786721,51.196666423231534,50.9440350371025,48.06054853251529,50.1827081328149,48.875842434002735,45.015974151561316,41.356553507557706,37.702761318345694,35.15071957982083,31.638733919746574,31.272594699549792,32.815954495726466,34.157891820887485,38.544735962789424,37.456705477154635,43.34019128600721,43.39847140000903,45.179349937672434,45.18771077327799,47.26297479597486,45.44713834921069,46.144642549731984,43.41305335526545,45.18281896713986,43.005659739442045,40.47356535703401,42.02139434348927,41.22526282584626,40.83358911610403,41.964363270320725,39.309030877348604,41.0437489130797,37.062602442171,34.52216946306951,30.201390548375493,28.981510770593303,25.156656659182072,28.153228168532046,25.810929696268374,26.33501178566961,30.400807469606058,30.162871007126352,33.54082246969458,32.49120887085041,37.26433222245502,33.2854392504367,36.30226900897713,36.52407503246517,32.577028644488664,31.398085284964225,26.885036251638475,27.489922847957963,23.129101603246948,25.28041421640842,24.279070401110893,26.055509893320323,28.57489059776332,30.479210623177288,33.23707051080886,30.13268534206078,27.49379097347994,24.403110300788416,24.36803474576633,22.533122253682837,20.13917655986061,24.35219909690142,22.917708050708764,27.10406075623983,29.871653138435086,33.93877731261819,35.01944005153243,38.906981232715125,40.17584985293084,39.52353810343318,36.875589080782376,32.701921858913636,32.14494088663109,30.600758333670218,29.35823688830534,31.28724612841732,33.420186044304934,37.635674052192925,35.592591355373855,33.39075726397265,35.89484843939637,32.93794944256066,30.477622408683402,28.34790283890793,27.782998356354454,23.624684540879468,24.4562746244459,21.171392606764737,24.56036949985695,21.10629362774727,22.560079394566998,25.391009087805326,24.998776899775038,27.148253953997823,28.534964691054263,30.254912237873874,32.0027498051672,34.11158417121685,34.51946773825587,38.429835971062985,39.99276711494052,38.78200077952387,41.070385534141074,43.16426949763202,40.59159686042739,37.100839073155896,36.970163781978606,34.71822795274021,37.22409437433502,37.61794774871897,37.42003290281764,37.06257984959012,34.65869452562118,39.445022593711826,40.63130392066605,41.49499130623121,41.56896019301093,37.48328929099587,42.66432383265935,45.60537856725235,43.23380154567695,45.75505602606431,44.0942638893539,49.34197870975966,45.76879981779551,49.533391013411226,50.35383085372664,46.74487527487929,46.25336017417814,43.91506577557594,43.997329297023086,44.210520079667546,39.45507800289837,39.93076136258711,37.133519224793915,34.701972567036975,36.48300886332469,33.610575048004264,30.66099244314991,32.24973310657465,33.14444265859434,28.406596617360954,27.621654896826016,30.513422628422415,29.694807086725596,24.520502470516305,26.26055015742181,27.761519958121745,23.564391480524606,22.11601570701668,26.252364238152325,27.656461324137872,30.898067911270537,34.14223324171951,33.88348840616247,35.64006516328419,40.86193154759273,43.15159315527681,45.73769245453081,45.1331165414003,44.811009455771035,46.74281692816675,44.10209304503206,48.90864101435453,48.23892424557765,42.880657909196955,45.81714190782451,49.62349636352807,45.97700106283436,44.10328171920446,47.8066586119974,48.07502979921027,43.777108720671514,43.29615115044033,39.465794740180726,40.453151977135796,42.79691106205077,40.66342947710932,41.4829560577257,42.479509451527115,39.58701607930376,37.304696578039525,37.708975660881535,36.635544829561816,32.79831602859656,32.37734775951057,32.35779012822776,29.445009998594806,27.988883303234267,32.25315196060728,30.872656960291216,26.336239982317466,29.44613700648432,33.17415193834596,33.76957659855363,36.864860659171676,36.72170676862797,40.96188705985871,39.261783742419354,34.791847945844026,39.11756524166077,40.8517111928885,37.864316652053155,37.59714865708021,43.39277593659725,42.3272041629505,37.71124360274094,40.52076116811585,45.03016169528961,41.69366866426591,39.897361824705726,35.50270595405411,39.80305767417611,36.72444345313928,34.685164783553724,30.386828087261232,29.321758551088642,24.586106483951124,26.15678034748395,28.583905117239436,32.36085664315188,32.84299910948905,32.9221174381601,29.01858731808786,31.528407942870217,27.29720757971296,24.894089662544364,26.713674216013363,26.92031768415301,24.54419534833962,22.5172192315637,22.275858081158635,21.118515092821752,18.316232224212524,16.999009145221645,19.017852863469642,18.276866947667777,19.876029243811537,21.41599674124268,21.48365744528976],[13.48713230955081,14.300217329796988,16.981395190055913,14.525440923463103,18.576271563107376,13.21247823784953,14.745377987064657,16.162304720297886,13.401038333504653,16.393412478455495,17.21256772949709,18.806579201977723,21.430699341928708,19.532092541222305,23.434810303295297,25.540683815439532,25.798749815437713,29.972902822834413,33.18135048916768,35.74125520003544,39.39384563557938,43.42276242409555,44.06522270548032,44.271745438131965,41.09771545530086,37.10759163755411,35.16188263667644,30.894233629403185,30.47135136932734,29.147513146245664,30.693866137786546,30.08752580221835,32.38263539284581,36.59359200877856,35.37763028779272,34.66302820437627,33.82300039584608,35.817387582850884,36.39654458895214,42.16930375333664,40.98311400062707,40.11519877544135,44.41368371015752,44.94820535367772,47.17256538792206,46.13582891451212,50.02549899050763,49.14536301964911,44.738249825031026,48.40136023179019,50.55384866891764,51.01922736715464,51.62401474644484,46.56907889804489,49.75951005167116,53.26131399159775,49.74965936495836,47.941967703696605,52.79909822304173,53.65772387958564,49.16579470450201,49.17024626753938,46.43618962211578,48.60952287124062,47.07479585636921,43.17106861775143,39.736111694766045,36.11986614097826,33.68243741221087,30.353663400095037,30.02883472225497,31.914658042088046,33.18852339374473,37.386035584920045,36.20933732868244,42.20204458066155,41.887887205452856,43.81668706831404,43.53918476745084,45.38576887959158,43.415361503254005,43.8417378314348,41.10134625448838,42.63402272889972,40.379994466739184,38.06952310529648,39.81900244435424,39.209716807717164,38.98871221775442,40.46700863453974,37.94860441442627,40.021052142875654,36.097596383744076,33.566037532150006,29.076240296107677,28.25917482881774,24.230953995580773,26.976377896355075,24.436277551630138,25.09257965057946,28.726635387667,28.18472572489179,31.38352321855375,30.048514417771912,34.58322656444845,30.447277340977372,33.45030010531822,33.49641235107221,29.519644485896396,28.49913371877933,23.876332929628283,24.49899450991345,20.20788898146464,22.324742169908944,21.6686873567184,23.38266733773144,26.16645173278377,28.020737953809622,31.191105992973526,28.167814959227876,25.516232986179453,22.28468914668849,21.919714941948474,19.831740819872334,17.226065959026275,21.236229609089577,19.71513771828302,23.91498633218247,26.68069441293891,30.83627683894747,31.78121474113353,35.72304590375238,36.95916995802706,36.43276295997357,33.67838304316147,29.53155989810275,28.86166431954795,27.41457324822983,26.29537702634201,28.33220383233772,30.653661177492516,34.94808505819036,33.03065101503521,30.695464764274334,33.245038926279406,30.42487660443644,27.82944499360778,25.761519309317485,25.08181233320081,21.01551839820062,21.87529773991752,19.012855098014388,22.668503706528845,19.844345627239782,21.31406448027949,23.707216194376592,23.034840072291804,24.867515945018816,26.27017763244894,27.58476352434825,29.147325200720918,31.49290368108857,31.683391943387903,35.664659484685785,37.00719741490066,35.73572030978202,37.91389392323227,39.99235221191759,37.35422529728098,33.909772798165044,33.75956683513058,31.598226416306982,34.19626720467506,34.709717737250585,34.686845913608735,34.4483892674694,32.264302584771876,37.094914449661886,38.07092341497872,38.84455314665057,38.70343157546495,34.574904640175305,39.650044812028945,42.536243120844816,40.162728312425145,42.82835588744719,41.2898137766977,46.478796705394416,42.81936519548856,46.519210571805715,47.244560254655894,43.640178430579155,43.04794606485162,40.674551865307265,40.74184404653152,40.939764215714135,36.17774294932222,36.70746442653359,33.94628554095747,31.57758361433887,33.488367417484895,30.722364603664353,27.637364974668326,29.25633302127584,30.363571647968122,25.62566888449866,24.67485905720315,27.797212864445818,27.259515008649526,21.941212059920804,23.771051941460417,25.56403875502677,21.452773927415137,19.880075172808752,24.24128234429175,25.34325756718544,28.909431818630917,31.74797060838,31.39407325760435,33.363732248266125,38.490094677078936,41.04625206397768,43.41199601210903,42.776167937259544,42.272877066789135,44.16269025961344,41.42648564186385,46.161268671682706,45.50501545381886,40.01893689452583,42.90889149111926,46.687516350317544,43.00734088041944,41.05209123245773,44.70031489304283,44.991763676537985,40.70043517191213,40.08998284875649,36.351560472234574,37.372308823895914,39.80637562755328,37.83733298989891,38.75941987532066,39.98968150350994,37.04409796080963,34.57939704970098,35.26499765583729,34.344299209813606,30.298444389285795,29.88013944645079,30.215972201045947,27.4010646458189,25.728032201780376,30.187711494932195,29.11633432348814,24.599149658744746,27.53488694457574,31.36891250830784,31.68414486357458,34.675344373885196,34.30049696621629,38.52468814407831,36.961427773455725,32.267380086987075,36.4542749414193,38.275506948303,35.29359829727181,34.76967143512598,40.623780633063824,39.676278048414666,34.92413726264647,37.57233122462368,42.20159012234721,38.947174907767646,37.00581294664296,32.657700597214856,37.08300420816099,34.135171960820934,32.26774019794017,27.787410536642653,26.597984850339287,21.82471043520974,23.415893768349815,25.668339943476724,29.442852639420778,29.768600170366085,29.86029292065259,25.824157071523917,28.327768455926815,24.04908519326387,21.790517537213173,23.82238064229822,24.273100283048144,21.995367099764017,19.609835954045153,19.62579792060974,18.8369778215368,15.641504387374686,14.245931867994432,16.81735630163721,16.659659823602432,18.502320278471796,20.06240514092417,20.28415214111825],[16.577131127726794,16.726412506486366,18.76943068193217,15.098327103010451,18.728671056303888,13.969558665549949,14.497777381745802,16.38578840604499,12.831206873873176,14.632741464897643,15.419030852785891,17.8926052391386,19.76304369781763,17.053210936414736,21.21683063419733,23.592777481412803,23.359972597565204,27.313553840063786,30.079895837272442,32.98929311010492,36.40491347335402,40.58084857653482,40.94417290215963,41.11866840814123,38.11876982884361,34.0105489203816,32.41461414400222,28.22394764991709,28.109131725857615,27.30185199666073,28.55944043394471,28.672323664583054,31.067586188720554,34.95102474862981,33.7146143864546,32.60052001379667,32.23659400656536,33.66527441172328,34.2438561082452,40.22471645214049,38.6175007239469,37.52032374171357,41.92049588710756,42.329152925922514,44.299461512099406,43.23453977420668,47.16009980629694,46.518437748911666,42.21380822029678,46.08053884407186,48.29875091495255,49.01934662835758,49.61157108212668,44.51038005442642,47.90904999937906,51.109413693355044,47.367564658610995,45.757017453194194,50.613042271875294,51.15000003969949,46.564239484414585,46.60584723378067,43.969423838515816,45.776456699081805,44.23544464231514,40.537966780659204,36.7449928205334,33.33619792470968,30.487821359580824,27.335474016053485,26.683532402307332,28.439184305191947,30.085773554460285,34.21872871977644,33.4918609923031,39.58763849747299,39.41790334409403,41.650418136623,41.45687312463437,43.29897987832204,41.70737527511163,42.12406020039382,39.84260642109704,41.35117157033613,38.827433660371696,36.45751812457462,37.81708410802686,37.60400269311742,36.847742193280034,38.6272615272463,35.78327167147405,37.7528069222603,33.94400402005706,31.752596890040184,27.220075654759302,26.4282100547543,22.305867735747707,25.761122806031988,23.62146415310105,25.219601717595207,28.174692851335198,28.34768570747043,30.890254874723336,30.079829377223746,34.43910053647788,30.458968528603588,33.85681729953426,33.84561820947928,30.096596821616664,29.08101212389682,24.335318379365653,24.113230210002836,19.586056870043965,20.929483343230096,19.593172997661913,20.883707267909738,23.399230215534637,24.956320749569375,27.84370125589796,25.094911852435352,22.218610722042,19.207955883136414,18.78963397835306,17.221266078630965,15.3196630833841,19.75617860277917,19.532805297005286,23.407747107014796,26.58833510096465,30.63514297197325,31.66110695162657,35.78856790727387,36.51124942403271,36.081271472244126,32.912916643825206,28.559675338192847,28.04849930979043,25.912197394545085,24.23384961412551,26.13100366936689,27.844591352781016,32.079593368579715,30.176243430968583,28.15236912027578,30.866438945625454,28.23311527121897,25.69872087825845,24.113835838933877,24.034548314073213,20.27653426625756,22.04096497739751,19.45124090726703,23.73975264474725,21.48551708784286,22.089109582275302,24.09317239363696,22.751652462507348,24.869947067674868,25.486836660148008,27.106263475699212,27.9666978304042,29.87093587336617,29.71896675617403,33.85001597503908,35.27333661905409,33.73998862266866,36.363685231770326,38.27947240859612,35.95411959918942,32.284036704068555,32.411251132855476,30.019095740678004,32.800337554420345,33.45790878996817,33.481972256972334,33.64784787636315,31.195151381515416,36.352327911228336,36.9434588083148,38.038078438454264,37.557759841753914,33.92924955525716,38.95420271115345,41.69629968920678,39.05170317984463,41.30284774157348,39.4204336382398,44.56245209176633,40.76293350423326,44.65283837183163,45.61049189917732,42.15773504808018,41.87801459431948,39.76516495893357,40.16349963467969,40.69339263077813,36.025437439767884,37.02423508520218,34.57911448607055,32.37131788873607,34.81527840259872,32.24340614632817,28.853281703175497,30.677670238782447,32.29194796085479,27.595814873027745,26.23171988521218,29.86134428625204,29.850745145970343,24.36084453816877,26.192329131036196,28.425233459834452,24.51778108120245,22.621251048378443,27.07857766570799,27.73178142050788,31.838789542963276,33.88673754649951,33.653631501909615,35.99022234489485,40.97974795151621,43.86457621186192,45.97580951364441,45.363019397381024,44.581783615001065,46.36780601940319,43.41324185196582,47.99694213312368,47.42735303344584,41.6854061907634,44.396138041800235,48.1266648689961,44.37165103336663,42.181222622954074,45.597267460518864,45.944509238154126,41.678558910326906,40.577724658532546,37.29387873922511,38.25936278758445,40.9870211853226,39.47957281321713,40.427711282693245,42.06690172204012,38.8413494297356,36.27411977648861,37.554642138806784,36.64993930715124,32.319965041229935,32.186939419898415,32.96429302322866,30.238539007002128,28.492825010565888,33.17788655286595,32.399055169572236,27.971786505190995,30.766449960494196,34.6734289605407,34.69558773194679,37.5305574543606,36.80771013279768,41.00015512174495,39.66401369983935,34.66586337373021,38.576373605289106,40.519653114712824,37.52740510471024,36.5273691325268,42.45656402406462,41.61511207983078,36.57417383360745,38.89597947893019,43.70467090875635,40.42939020114009,38.13755105588924,33.88313579841816,38.24651428745102,35.34295100236218,34.00070589599421,29.204636909155703,28.25612405129366,23.514022656321025,24.522250665274928,26.56668617289183,30.1744208815999,30.3502866391073,30.87479462628439,26.484513323763036,28.931267589427353,24.2959357273666,22.91297245042876,25.19063032954792,26.227450900724783,23.69526236397562,21.00051820675921,21.872634132860856,21.407400726687165,17.348609540767683,16.531216353531725,19.848162182944577,20.154546301439126,22.124277202454085,23.588571256035813,23.740061065507017],[17.544868872491474,17.19068655342578,18.94752596863531,14.349473897825101,18.059219830247468,14.526072844410246,14.848212036285139,17.586334754325197,14.20099624431477,15.127112692986199,16.42999707536216,19.532469356829978,20.346566426106353,17.217681739762092,21.83189419586916,24.1765994634498,23.16011290404232,27.020937989397407,29.18944116534762,32.305968368479384,35.48324870938531,39.68381842003008,39.74677050715429,39.671160010321735,36.768565217101404,32.66982569603937,31.298244272340373,27.295843571495947,27.776505661820135,27.545512267582485,29.09048591007201,29.588296132489234,32.30381301340559,35.88466014976123,34.37392442359724,32.7858999577022,32.59582152772723,33.28564443577808,33.578354165372616,39.563373427548825,37.49381118974975,36.61558452432066,41.086879900563176,41.14579067137407,42.823100335698314,41.50196487235485,45.41326907955734,45.13122297393461,40.76111185922174,44.60538188720278,47.13173681468487,48.014827753254465,48.818095847755444,43.70885751793698,47.51721113152316,50.44899371614885,46.54290657848527,45.34686425085405,50.22146173142954,50.36469764213054,45.88588006130424,46.23584224140117,43.855277448177375,45.312992065579934,43.55854754054809,40.07273119491883,36.13384951481839,33.03790181356003,29.84284095208785,27.117433542056006,26.093343915462118,27.880007443666223,29.945708585403043,33.81310344463661,33.53905532807509,39.74831510486972,39.4381834343843,42.048207598986565,41.69717362340422,43.30824194839343,41.89551964526394,41.99849662140211,40.08294501338821,41.25826251324296,38.43444846776695,36.34752860504192,37.603768088461734,37.929922884489805,36.90104772747755,39.223694406859465,36.24416229352206,38.336187535321486,34.71003845557617,32.83551797616617,28.241343033401524,27.724655372978447,23.514346491682296,27.245923336683223,25.273070621970675,27.41236891455286,29.651756611206885,29.91733129831537,31.90649568389898,31.059194767442555,34.94562611613678,30.852886593123866,34.32628565112956,33.937274596552854,30.231638834295858,29.60199231027404,24.70880277241489,24.151486116408257,19.753351252400186,20.352812745399206,19.045809806022767,19.62939733725705,22.246417627829253,23.184729454556923,26.325586770352174,24.161625984362253,20.989041171381995,18.19349369245516,17.011058770897566,15.79769742346898,14.45127177168698,18.644392215191978,19.26998091310545,22.877048688434865,26.20260919963482,30.38285274773703,30.978057058740184,35.32133713833309,35.705070068916214,35.70522261966822,32.01067973846419,27.63689481517976,26.71806713106423,24.33421634301869,22.308232449130127,24.451434599621884,25.603522997483918,29.990811276582587,28.48379929258719,26.66500582579676,29.672697177920647,27.53201528974099,24.876491141527726,23.91318649433085,24.14905303707655,20.8530749988111,23.093704941643523,21.19475356332962,25.8200632740412,24.238224972660642,24.603517232187972,26.101780992530802,24.245508538768508,26.13187635030177,26.319050619195224,27.572866137510637,27.63435162469603,29.53533010888658,28.65177362941302,33.037368464403116,34.05798706435326,32.00033759800082,34.806895933878955,36.35778395501794,34.09870342267612,30.396138808041968,30.884564159332296,28.618586523801316,31.848690583539355,32.889622362757976,33.26016614549896,33.886708273382155,31.577015373295296,36.93213894837179,36.99429683918875,38.16883854565865,37.1106152016139,33.79209692373899,38.51896765018599,41.01749799411455,38.18541492007231,40.385501004162656,38.429016092572866,43.37084048861125,39.21450513113548,43.14487631617065,44.078315079907256,40.832194562049565,40.521279553423994,38.511685637800085,39.083309092324434,39.675102127221024,35.02707170286423,36.3537961905651,33.99068327298317,32.20216891863583,34.85450811118284,32.69837551632403,29.05000703845301,30.61650068690424,32.7085817351522,28.187497599467626,26.093591539758428,30.07244090763236,30.76578733684836,24.998945547157753,26.553566059815854,29.193855555070485,25.652738698033243,23.201762087461955,27.55216881584372,27.77730201046669,32.421949056124284,33.60122554766271,33.68468406136797,36.37007173620927,41.25645493004528,44.37696955922047,46.351968747060184,45.99476875645738,45.075450442777196,46.9401932170464,43.99213783843376,48.374420531371584,47.64316809849679,41.75636339822185,44.49578792234492,47.98091298458677,44.047730583585455,41.833681119607306,45.108097741126656,45.212912967011846,40.93362048750888,39.75129164794272,36.79716056222394,38.1330045065324,41.05370626215957,39.905201013026684,41.14693038259253,43.15320426841982,39.94826912163627,37.04941521701623,38.70241418722514,38.124900898049574,33.57669042104767,33.30503246219523,34.5568523427829,32.0211156785504,29.903356051837296,34.65247811440454,34.238337610427564,29.821795782793373,32.183451085364354,36.150108763495254,35.818860961900256,38.653245576845514,37.777799275716156,41.82176203255238,40.454715732492225,35.2214259701763,38.983312350909884,40.794976082577044,37.708344529163824,36.43544617932865,42.34059686076743,41.35738241763913,36.109427520941,38.290897647510874,43.07869514087882,39.632319477184886,37.120404792839295,32.934624202055026,37.050284106909125,34.10840824476532,33.227445196153965,28.258569544314742,27.739039215927836,23.14797487513036,23.43388395976636,25.414347994279808,28.80799873351385,29.073535531193397,30.124552163451096,25.77982308176999,28.45301780293776,23.793949720749573,22.995686972128432,25.907120991575134,27.3558483900108,25.130323223092265,21.846095256867706,23.005318015830237,23.21295548872397,18.853987224634245,17.69847112159645,21.478771479893034,22.31413419736295,24.45262075847527,25.832444150384795,26.06305173138327],[20.07121058121417,19.06084919888775,19.72168579592923,14.752610231842715,17.055795329457812,13.965165279875762,13.035563435954492,15.813455425153354,12.155625133997926,11.825983502939179,13.31820162522152,16.96682839275037,16.836073697296534,13.377304111915015,18.211749893954295,20.489264868712496,19.02989779269901,22.804767803048758,24.80197732449953,27.941462537513512,31.069197986045616,35.26685022058302,35.30598276793003,35.23462338239925,32.334575939921244,28.222152329662986,26.906016181257606,22.939580075879423,23.57653791720935,23.667366141252543,25.309481346013985,26.106069411700343,29.023063760980158,32.326164384632456,30.643267337866767,28.77600363026495,28.782725975786878,29.102684634198795,29.388336786741434,35.44469291693768,33.23880033337053,32.243710218333085,36.73120210234432,36.777495951223926,38.42629551154756,37.17612218094625,41.10432858656473,40.797869972176876,36.509029064129365,40.467175174200385,42.913165670115006,43.89731373721814,44.64011255124296,39.527158396336674,43.38716300179284,46.18512222224692,42.20964953621751,41.093197077751654,45.956929522653425,45.98864327992739,41.51034747105709,41.93871639396261,39.660448178587494,41.02493652288581,39.187137153523224,35.753956018034,31.823424400868056,28.823469360830426,25.60743916424392,23.080232260469547,22.020341046746026,24.0558960643689,26.08582875956413,29.751290714134875,29.542716244941346,35.79761507224181,35.32417032038258,38.11837551521419,37.66585429517293,39.174931774710295,37.91559919754094,37.96502352878517,36.330600704681714,37.48077187474264,34.53273894485196,32.41111208324345,33.46823366188687,34.04879641616744,32.80234599052132,35.409345813051,32.37761725638664,34.6118259350373,31.130806276611473,29.471566726697905,24.852616979303725,24.672122624463835,20.419005233605958,24.259187841327773,22.52982912585541,25.3463733628672,26.776606478039582,27.48695141994001,28.849349110617823,28.417396904618112,32.0997606822091,28.28258054086851,32.06630120070476,31.788102622441233,28.454254209279746,27.658797629772543,22.888922143069912,21.509997500762097,17.063895171835917,17.016389979127535,15.139637604972654,15.504105571874774,17.901769304853055,18.843810216908572,21.88661283847535,19.761044362811866,16.557960101880216,13.799926400032993,12.677185780198403,11.744427472956726,11.041980431756485,15.554815766819928,17.324559062995434,20.427425599104264,24.036223356665243,27.85196323349742,28.81491904410036,33.12532993787687,33.088726804332815,32.93658294802332,29.154033965320185,24.663097822740916,24.29831407648368,21.29393369055868,18.93394348225135,20.68731754970755,21.6750436575059,25.886181003513684,24.189613284251315,22.486252029586662,25.47551985636968,23.380420844610722,20.816790913991873,20.15253290183489,20.83748606115092,17.9376302844308,20.867732583757814,19.37940494611124,24.362461957385573,23.562806945463713,23.189412313148267,24.102951178732603,21.682517192670883,23.638305089995555,23.17243813868473,24.610611729267834,24.179151198774644,25.685175185670914,24.724158317368857,29.089598768943357,30.323785453458857,28.362585089215305,31.462364662956237,33.11775690871734,31.206397750180436,27.32028968885005,27.816591696100932,25.235949588388355,28.33409108694308,29.334752871406437,29.64856223759864,30.52584764288232,28.05916764787769,33.564921045343205,33.355933383279165,34.75123763619712,33.55035080926425,30.648549801765775,35.35950843951077,37.79263236469276,34.81726798904724,36.63108170440218,34.445843205418086,39.39752955331183,35.336000192428706,39.37544751429218,40.53388032927809,37.32700010114289,37.373915410683814,35.6167839810664,36.450543676157096,37.41713371972912,32.97938994272441,34.64633311478586,32.749120455348454,30.87343863065116,34.071306983665316,31.93029693627522,28.163285085550825,30.233487781385815,32.61804094411424,28.17624354741394,26.261507106891777,30.557800769600238,31.406901500972197,25.89384039722926,27.7414812242415,30.62158054919439,27.188323278958524,25.00396107174193,29.54144974758462,29.387317453278833,34.208666018494725,34.93083733548042,34.70534884243766,37.590677818503536,42.18711311904903,45.65866014913527,47.20080973287493,46.564633915989,45.27815589772922,46.84660898483983,43.57614557658784,47.817855743413176,47.39994925192808,41.329772957786126,43.69272834179691,47.28322726075336,43.48656957865818,40.94372150849664,43.93014726937902,44.40082301275575,40.27016292185529,38.385550174293066,35.877854244860146,36.74224211806494,39.87424834963774,39.154643705032065,40.20073965067421,42.53342589397614,38.98999440981144,36.194247384571554,38.443065358279036,37.72337873672946,32.99480899320588,33.223489490787316,34.82084534827453,32.38408164935498,30.443988631349566,35.390844652575225,35.23795072448805,31.0868801767132,33.493941408731004,37.451830487356105,36.89721720114665,39.36109367955339,38.019388124567044,42.05630971235877,41.17628894329688,35.747883076589545,39.062224653718786,41.215154686208564,38.31017997539001,36.49014973753376,42.4218191092896,41.88502876233997,36.49136404771186,38.149260318793445,43.213429002760435,40.112585397882775,37.282863881512704,33.34070254826379,37.66326002591287,35.07512653032404,34.58211050779048,29.40564739857116,28.60839778406957,24.141600855831758,24.44699057145312,25.873033698686886,29.09115081662951,28.83878775262159,29.88204610823714,25.05592838708616,27.257767283090498,22.31491874425596,22.389415742290158,25.019926389318314,26.967651701427382,24.377811411323233,21.15489464320837,23.2630655777438,23.52839165968573,18.501296447562755,18.416110902187377,22.67562294768245,23.91646349754731,26.085308211314032,27.368385205662037,27.57923773690004],[22.828600432719746,21.557467477151107,22.06362059082883,16.486519806322043,18.707302042912023,17.13434902837435,16.112788049979663,19.420333650150486,16.116040431602123,14.899580563868557,16.580898566626296,20.600184796591236,19.446591181010024,15.605625002925809,20.469658681004994,22.699980520138407,20.355769470656803,23.67824419060397,24.66316366525597,28.135946236926543,30.772673355641768,34.99038945689884,34.53367263983481,34.1483967795173,31.52357452092276,27.44908619352676,26.642629668996722,23.096193918289117,24.532974319972777,25.439825554840713,27.11571481643112,28.535124957483085,31.624450130845617,34.448421110162855,32.59027116653833,30.179078121119254,30.558692805928807,29.891675782390337,29.856954199996814,35.84948642899028,32.986003761806515,32.15721428333236,36.67853474234406,36.26893152232765,37.42034402411424,35.86149833988203,39.741277627657986,39.984262470875805,35.72969593441093,39.689115086730396,42.492437374868075,43.75282802484058,44.717883242786876,39.65248897562627,43.974617002286,46.32730794641317,42.12906647513915,41.555836960592444,46.36614036762298,45.840388256945324,41.48725524368403,42.23758607090139,40.29368437949091,41.09195618408468,39.07143766692075,36.03567533239467,31.833643079059755,29.36444800173407,25.63600262727339,23.770847797440172,22.144905361349323,23.98349235182649,26.634115280076333,29.88710038745114,30.416810698910467,36.65807612945255,36.168747845470854,39.3966545049217,38.864867721288206,40.13056600651949,39.235284748624665,38.97278449879669,37.90454415060968,38.68691775105579,35.396704531347794,33.605945732889154,34.37085990571098,35.628617100958515,33.91841214144407,37.0863819825347,33.85121381415122,36.05452860529741,32.8781821278681,31.69597744487737,27.20057311818931,27.208199346999983,23.090855193464105,27.25813709264126,25.874009594437382,29.1830176567643,29.916970102858407,30.852057218636322,31.570248155909844,31.237638560971885,34.3374244147717,30.545296258442782,34.35684677269107,33.68201891053697,30.50761669514054,30.13999840659352,25.379253176836375,23.615795646856288,19.549055551594194,18.510302575327206,16.595315618739058,15.824382276621483,18.011714239873186,17.862888895908767,20.92933953666449,19.83531729256685,16.314054414409384,14.263545937958057,12.110782212547685,12.21158820451064,12.73893535506847,16.499093425819876,19.395794124740704,21.942051030531577,25.600116313295302,29.406639181029824,29.853223398603642,34.326129142430716,33.81006817693197,34.17963815110244,29.802524121675038,25.399847778154303,24.575180685492725,21.198131315028583,18.26907237449861,20.21094481285443,20.03998173951166,24.317868992876623,23.224642506844035,22.024530357154365,25.35204623871617,24.019576785150342,21.47392691890564,21.751770477879933,22.91501920347483,20.730894055320572,24.061708183783683,23.213564817751188,28.313439242677635,27.966799383192573,27.396537184819643,27.926305557363968,25.11415404028811,26.863158864819773,25.877477872292825,26.98632458945791,25.56871183992888,26.862299032067757,24.963547699866677,29.536460124024234,30.28087587055113,27.606766735558928,31.021334568786177,32.10960663324049,30.421668443751646,26.525377334413072,27.57383434703538,25.174136620656533,28.78253541230501,30.243171991885628,30.944437798679296,32.38903694884719,30.065156129470274,35.691998026908564,34.85529235506696,36.39146740181726,34.509361306269284,32.15485781160507,36.407452316261995,38.48003761356497,35.27761948068621,36.87109396801959,34.525250411505056,39.132465679494565,34.65084211118643,38.744741432530255,39.93043748908578,37.07777299579122,37.17224574376538,35.64114127281428,36.74238562916081,37.82378150615217,33.51716483042166,35.60113920353102,33.866214499519636,32.53618792214851,35.91006934998467,34.26920569972308,30.313325219450896,32.032582201982486,34.878370932887925,30.711436247907262,28.057524086473684,32.59952406723687,34.14373651240464,28.451869453675055,29.935396270277046,33.13031855345977,30.096340315540328,27.399576511992773,31.684251989423615,31.1468286817718,36.410616554417246,36.23444494701585,36.41189340383639,39.608838330253754,44.065507879173865,47.7133389048166,49.143919991672846,48.82016483187857,47.42452420936901,49.07994304593943,45.86361768926921,49.844101564372444,49.23878511189166,43.07997981839604,45.45359058844184,48.71663550034553,44.74941743199447,42.21500756138423,44.98655959087675,45.152402820088945,41.06038195864003,39.09142901399416,37.05006660011912,38.33423934811773,41.64549318960479,41.33833571836764,42.68526993952414,45.36435209062813,41.88374274924138,38.79272265452995,41.370638120407705,40.97796469471901,36.115054217820514,36.18657009753008,38.18123239902075,35.9342515154279,33.67559137565104,38.59206948410167,38.73698827858756,34.602965335107385,36.593077396559785,40.56319164894344,39.70729507242605,42.1838063868649,40.74630766709731,44.58477340132928,43.6408620227842,38.05653193753555,41.19629900187395,43.15195522494243,40.16696236371492,38.10693022965197,43.91998339778345,43.193781906194786,37.64822689426186,39.13555866013213,44.0848492568166,40.791304750567704,37.74732716011137,33.95836146335132,37.85501785792749,35.233612047569366,35.30142521810684,30.063993434657686,29.841889864555906,25.6878915724236,25.113401289514,26.44099139932082,29.277188257473377,29.170509971018237,30.866011186873653,26.25280426312213,28.65350305643695,23.85511235002259,24.601990140226604,27.802758007035766,30.07914918290611,27.840003092042963,24.189887421684297,26.4279991034394,27.249449389431284,22.189850514826922,21.726287591283192,26.15908045568097,27.70281576857145,29.956452261941592,31.155946126063554,31.405448575183037],[26.43072047462522,25.01483941668755,24.913598736092652,19.57611441386242,20.527920667901263,18.71953986280545,16.575845428105985,19.16765640505987,15.469765456695722,12.904704446528493,14.00664860861428,18.332332233323086,16.523152495252607,12.14068188084575,16.604708636769093,18.956464103506285,16.404185444106957,19.238232781795908,19.994252940535432,23.7112141597078,26.20554076858877,30.5531831094999,30.049632291836474,29.906713449060845,27.415597266029483,23.190041155914322,22.691557877781,19.17669275343569,20.52871204426881,21.790041062858403,22.85707220320814,24.948214779186156,27.890800388553384,30.32191519816552,28.60714912539251,26.02424510802491,26.94272263842086,26.050252822603092,26.30893856460319,32.47899693460023,29.55018172882228,28.10751862348194,32.6387314148669,32.45048129206145,33.581659514772575,32.349779609341375,36.27340990357915,36.377244359231625,32.43102442379469,36.7046297978989,39.14723698465748,40.58165045608417,41.24782256006521,36.19197660298929,40.300741546945105,42.480861722348564,38.178205466182035,37.45906233765565,42.198181025149225,41.64388832287746,37.09781707481555,37.630023803998235,35.636894206311595,36.28705152624503,34.419330937401654,31.476675500455723,27.025064580674677,24.622156592111462,20.71516906317897,18.92003892183314,17.16377361782842,19.015038783407693,21.701463805128164,24.89034653512138,25.602755441362813,31.808303373348867,31.487096523665826,34.801959896837204,34.43905893036836,35.82764734911699,35.30685498359075,35.31369496420179,34.61122027886098,35.66954348353052,32.370186417807815,30.236347923377423,30.479417369124132,31.82629468549603,29.63580271045607,32.79011665971276,29.345130776807725,31.39677235946838,28.372682077226255,27.499756495787796,23.17879235788194,23.27656356478074,19.36786580704527,23.871284983954475,23.036087626452815,27.038983075723202,27.12680803544444,28.91373698126601,29.034793031498964,29.54769525096922,32.67374252280113,29.474463301800036,33.63584365870254,33.38274197889549,30.721746139832362,29.8895101211565,25.486580770722618,22.850150846957092,18.76810470116062,17.19950999398219,14.104125616500733,13.232472708780978,14.42987617345662,14.468005293857848,16.55413335392802,15.348785711944448,11.814848115184267,10.216310687005835,9.055427643715827,10.248423018408294,11.955481797212268,16.04857600975266,19.92956264166868,21.870569351603187,25.72274600190216,28.85540717512496,30.052705904827615,34.29044735706724,33.37484323398153,33.2675534513519,29.125532237894866,24.6514456423457,24.870697309225847,20.78278795205629,17.512229584030802,18.49471109231839,17.956891306884764,21.638740730506036,19.9465431986195,19.122605916913887,22.2088645178087,20.690218245238704,18.574129892901873,19.108285593566364,20.951352481255725,19.182448704525815,23.131500025771242,22.28432081938067,27.465515963840573,27.4977395385467,26.073860454050852,26.26694952185096,23.09563497354813,25.22611373843884,23.4512466079854,25.27456465808757,23.60576120738733,24.008730280836538,22.47824148763852,26.772151895813163,28.201329506955165,25.9716723437402,29.814304766459905,31.18163835913935,30.07797912544951,25.982713045142372,26.89551113106982,23.962512243825884,27.029063239004053,28.156417905684087,28.480398016691737,30.031132111990797,27.251873444139697,32.94710351465817,32.05464949478257,33.97149385729092,32.27237557586098,30.50405322443849,34.87174913627134,36.956888727620814,33.64746226298247,34.51792098530366,31.73339132938954,36.431589578899775,32.341325777863155,36.61474132796397,38.23477291631588,35.40344042666603,36.13041575071479,34.97736570732713,36.377707489533336,37.94289134857233,33.96541838984473,36.2882796776559,35.086421839085304,33.446584967642686,37.27807741768957,35.425109295457524,31.539873552135806,33.912105380505295,36.756639356783936,32.596024235097346,30.537915008261262,35.14692562309038,36.42230219636362,31.127800168346017,32.99636991928445,36.15534453132291,32.993542726469016,30.78927566657195,35.279380410556186,34.69165086832,39.81505549219099,39.73048049599966,39.5020859676603,42.67699829972171,46.9342906184414,50.752618868971275,51.874885307222506,51.15124682777896,49.48411803640166,50.78740776871952,47.24187979415927,51.16993556476838,50.99568124904347,44.75704747009945,46.69137641575384,50.18797191121172,46.4848056173812,43.622936055059185,46.11995791425559,46.81552830585561,42.92092050643037,40.22707843042052,38.5476832488737,39.0792836919832,42.4999695566422,42.471467475731096,43.402813657045904,46.19429929645834,42.33029161635973,39.6085627022329,42.58084000274499,41.80911686207698,36.93867766475572,37.63580204188415,39.65000893512856,37.38262491857411,35.557694041887906,40.59407436628258,40.733294610405565,36.83717498059584,39.139616018434594,43.059279438286545,42.231390069237435,44.36954753970786,42.586491499153205,46.49278276746934,46.035064023547775,40.42574997017452,43.21021164894398,45.55985432970259,42.80416799213896,40.38698997554984,46.20810657385592,45.97808797147991,40.425173885840316,41.47566327136201,46.67279846547868,43.794003001100634,40.574819358874706,37.00226588048628,41.15848046505022,38.85993581771603,39.03853682107931,33.7347551848549,33.09939053987832,28.9808120128761,28.76697462486045,29.681728609089067,32.43374120661476,31.823637147366934,33.250271094069646,28.20190071820307,29.944032908893906,24.935522715798516,26.27073828475593,28.745566174094,31.258947142325532,28.445101306036243,25.321595372088545,28.27485595890056,28.708376985174198,23.27277340431978,23.981817559243353,28.504229338614607,30.022413156098832,32.189906077701565,33.34621546786241,33.48609597730703],[30.113341493781423,28.819230065992645,29.022464661124797,23.404229181601,24.734698391612774,23.467705998716173,21.554781682090955,24.302648044896454,20.598512044693265,17.93362270054444,18.734942419623376,23.076791458323765,21.120857126710415,16.540531816849445,20.42601128614543,22.888832287010157,20.038465834026074,22.04546293780832,21.678991035750016,25.841631346223686,27.60334866995897,31.996708559393802,30.866186384281242,30.568620367387023,28.632089762181145,24.4630313459285,24.808656705334,21.87921271733572,23.722069224886333,25.605652767989604,26.054954945093545,28.904432927558066,31.628664813417693,33.577388987951885,32.0521921904324,29.163053773581634,30.64889569206859,29.04711837331025,29.214786380964256,35.27486727758484,31.769129093833566,30.15038171341709,34.61489131932811,34.11195176026895,34.62663952932987,33.247893842840185,37.061642264081534,37.754698356686745,34.093599284925496,38.44749961907333,41.06202255893413,42.83114144357621,43.55876248607123,38.62773236762927,42.96146140464265,44.61366076526899,40.08981426792083,39.77337230042097,44.342804573566035,43.24752495290438,38.721301438763625,39.30334724707529,37.54229769707787,37.47088402107371,35.69601018435951,33.31122963063367,28.36099141260712,26.585331008386582,22.053374213785414,20.863266454032427,18.443636840472614,19.48558638530894,22.982032663275078,25.829066940690108,27.51498241300476,33.47573509517282,33.562213735562125,37.15264027114712,37.0136395940586,38.36963349251158,38.40399051762478,38.37920224918394,38.24995216534891,39.177207579595326,35.68326290853916,33.676826926489596,33.4161202517205,35.21709095017292,32.41384768229882,35.73892090777419,31.982259004521126,33.614100987101985,30.909859561107442,30.54941850810395,26.577034024966576,26.474228510691283,22.941604291105115,27.89344278565553,27.48588319375269,31.74330625280519,31.638732034155595,33.78524722307028,33.58095509396871,34.347118091837636,37.20122061962345,34.12439288932211,38.28739641598899,37.838998483419985,35.27071676969071,34.66336108941395,30.278711069859913,27.52229660941996,23.657697835221732,21.675536100365246,18.541223620292875,17.008029854823043,17.590070656114417,16.614399653626478,17.817493421503798,17.76041279868348,14.252733262608393,13.81579457559882,12.438622356793497,14.495226625028263,16.726416063185162,20.27961459920983,24.556117033841474,26.25388852827375,30.066370969832008,33.16065186479059,34.01746599144333,38.318820644259574,37.0728244656802,37.30204886633133,32.82096683192299,28.492811813923858,28.389723404735907,24.12738072732924,20.49239528729163,21.46116682277066,19.617769936275504,22.967693090056287,21.812126023044776,21.74133509720108,24.92009187839414,24.02918644156076,22.1817342414492,23.361320327181726,25.534564465504985,24.12221971119625,28.180710565315525,27.403201438094907,32.56780523352857,32.48419267281167,30.975956397074082,31.21881787235684,27.990812583635496,30.180346598893653,28.109415623695952,29.94796169588261,27.761798186242906,27.794329134911653,25.72706115662006,29.976975366317582,31.146835043320966,28.403987415215845,32.53554408554574,33.359240239542444,32.56790770775758,28.546085159818983,29.92449506604036,27.16586323212515,30.485426017584224,31.867676209484692,32.35801387474699,34.25039209865431,31.447283392120813,37.13805995424393,35.893890859489524,37.98944295149964,35.909656080037756,34.6564338124879,38.678389827609976,40.47086916189854,37.00993811345379,37.51495394223359,34.49910042262634,38.82205281329414,34.50771978596593,38.82095576801984,40.55354398961073,38.11490879160874,38.98286462620378,38.08670274164987,39.71023589080396,41.362642999308015,37.52446179053143,40.108087171729586,38.972260594869304,37.7094690394192,41.55531601748697,39.989039992422875,36.020507139411336,38.084193053073434,41.139615890124695,37.09543115767849,34.56003951279435,39.24286917698004,40.868471710614074,35.368725510824625,36.948672103868866,40.21928705364964,37.205234254503424,34.616637045447206,38.907834668026226,38.227512190643395,43.57897856796414,43.066546068516246,43.227378235755914,46.54442421673239,50.8145143337574,54.63112415049875,55.8277046994139,55.38813369647285,53.747904366838654,55.17181303579612,51.71982701405204,55.51320214029397,55.16216190281578,48.90565488001513,50.91016344503468,54.162863166734134,50.32245511514642,47.53152122498773,49.906847118366535,50.315382794651285,46.437643477638616,43.80321388684169,42.40700830345055,43.28324270175241,46.78307777101647,46.945186045908606,48.067684201763015,50.989438029030076,47.1929916948738,44.32130322167313,47.36100785342974,46.75141508104767,41.8454864475256,42.3840843221,44.49649527094299,42.26226895880798,40.2589808817725,45.25521994336739,45.436118220501264,41.43212100453549,43.56429838121827,47.5122815816229,46.607089562490195,48.87376233883422,47.15980801787311,50.96972681101248,50.343685579359246,44.68511254683746,47.489216583508885,49.629952634827305,46.76645155307149,44.339251602063484,50.07190510072395,49.584630072951676,43.96709163671147,45.03005313097197,50.06010476311398,46.936529174022645,43.6455640377922,40.13485069037078,43.86280387949678,41.424132418317264,41.920578836809334,36.65782160744426,36.5430698855635,32.58173493667139,31.75400818596563,32.78116783979133,35.28015608120357,34.93619574683531,36.84655559077682,32.07004458929161,34.031676778291015,29.183220334556516,30.713399939729516,33.541191995944594,36.11199660541747,33.47052077845401,30.162889323660362,32.96838408064565,33.58595493294024,28.231155578838884,28.534799872559905,33.03533187451343,34.50800434758576,36.6960781593793,37.85207051082705,37.9671816458946],[33.87290508878682,32.24658325043932,31.691625559529825,26.291667141871848,26.356503330441786,25.379410622335513,22.618946477341485,24.821620347364522,21.333048051511973,17.60998212484997,18.083749535325182,22.34577337380166,19.366166958581907,14.937376768983167,17.926374567847212,20.070661811270504,16.718921817041643,17.775713319599852,16.571334819633577,20.90480350107121,22.258048393543667,26.65872690720085,25.356695209370326,25.188039404587926,23.45824663468952,19.28334431594277,20.14373986723848,17.655487015583656,19.72445545824453,22.26922145987512,22.351932765762925,25.86060406819513,28.536527930744626,29.80262115045853,28.236656920518875,24.990295000263337,27.02740920123906,24.769679674795203,25.051769807580637,31.03325799780267,27.33951193467817,25.248665589434747,29.619525266294424,29.175479630963395,29.53996579060305,28.438612086615336,32.21555678250568,32.86493198284478,29.58995550149274,34.15150645370246,36.45621163559336,38.43489324985718,38.939460630294626,34.11929806813181,38.346817494084796,39.67501511084401,35.06358574152607,34.82878190786279,39.253261505397724,37.967631764936705,33.399791614592246,33.97046510710459,32.37867990402495,32.00856490207429,30.22714129188288,28.094711388880363,23.01741508035902,21.63371957958249,16.924670036289882,16.42714343083383,13.739035618184463,14.927498453476284,18.467137397059496,20.738853117097165,22.817379807549056,28.604695130316987,28.607134303754698,32.44041139350709,32.286540342749234,33.53305318591659,34.00770416936859,34.04457360835584,34.49352106034572,35.47065380725909,31.929222456841785,29.821117620237708,28.98358578714623,31.152491400477167,27.84214195276304,31.43684012140985,27.601400553070373,29.221607290488333,26.938375622700164,27.10410426258727,23.51574826209944,23.844036353707395,20.7883152358989,25.603647066806285,25.78945111636417,30.638527118513686,29.49617040011721,32.30394724108575,31.23577644066296,32.72648187465077,35.22596679935053,32.81872079039511,37.17447545223071,37.0003060817693,35.06146645155459,34.18538884139981,30.30899168318722,26.760717677925822,23.304327076386752,20.67591828312547,16.873605052281043,14.97564472406631,14.243104448991136,13.015259534573616,12.78311752968002,13.319160943507075,10.165493327154135,11.087792016080963,10.660155417298661,13.730868880114969,16.925672427236588,20.02903237172282,25.1507690440483,26.014006027080388,29.822099411287656,32.130933573998995,33.54254209470864,37.517550733089536,35.7770911752354,35.67350801885982,31.41206160107466,27.24997632294327,28.06635373245586,23.277609310512112,19.489236062905235,19.40809499288166,16.978072127418695,19.35982371331695,17.785701751980362,18.35861659381293,21.160361054210142,20.48105373319724,19.2500912520321,21.007241956947524,23.824478253268232,23.22095255462508,27.699389832498333,27.333729924271402,32.390202480212025,33.016180716437155,30.7809479090568,30.405628960118104,26.808308620269997,29.022219653876515,26.139932183482607,28.30563577108659,25.600585496907843,24.6920917779703,22.74579351793314,26.541241246763217,28.187843523924016,25.852651984327725,30.326379424770714,31.307198642524874,31.200045886112367,27.14362551918048,28.424398369343,25.309939534606457,28.04338399429397,29.18323848678101,29.435238718004324,31.587762628828337,28.57619303159487,34.15451661821215,32.6059245277231,35.0386489650168,32.93276439607767,32.49389029308226,36.33050796600866,37.97416184127265,34.44105730505205,34.1451057273578,30.731720562159023,34.926575345924086,31.016606981319363,35.4196671501285,37.57111082770537,35.288605652131714,36.79677444019465,36.360402076247325,38.30626465648821,40.44371926997589,37.07057979533909,39.931318550092,39.40862367723564,38.001885332581345,42.27763336453579,40.680052784107176,36.813134348523086,39.3929655156092,42.52940894109484,38.655280780397774,36.567287124418115,41.31446827146017,42.8633064240233,37.809987878584465,39.67860999843409,42.989113094709424,40.02629257981911,37.842485840684965,42.263137206337795,41.38838861967018,46.675260372203795,45.9969688986531,45.77245659661274,49.131169630731435,53.08247539203946,57.14789887080739,57.92100873653711,57.11635775491688,55.14326194880674,56.191711424463065,52.43997441181449,56.046944474857376,56.11088159275424,49.81277649394926,51.32601214447722,54.701364985359376,51.14785869885349,48.04322594821026,50.03887933961147,50.947155680496905,47.34662955458304,43.96328168135871,43.0749465707534,43.262063798444316,46.861754850192696,47.43756625274467,48.21907867240119,51.34699476768569,47.24660768118808,44.67715952603972,48.204066701770316,47.36053983941555,42.46742763294723,43.563516326575915,45.84729097799129,43.72216230330128,42.04637353501954,47.09659963724319,47.43025353289417,43.75331932138963,45.99931862229561,49.860499244301856,48.8502461980609,50.71177527453595,48.592316411597736,52.35810910197722,52.26218100229114,46.576275575287546,48.89688260588031,51.39069606659443,48.79278952138127,45.92587436820544,51.56946025300645,51.605545779405205,46.00188104563493,46.524089938473466,51.75570801397028,49.10632828541738,45.61159411462752,42.41653767666355,46.344342678582294,44.31941369766015,45.038413859890625,39.72800539200374,39.23771685770237,35.44560825642138,34.86352804150031,35.3882125912573,37.69727272106099,36.82249208963557,38.51775783924778,33.444921280265284,34.733762078210404,29.88461940204521,32.11225498053397,34.34390606195219,37.20364412272297,34.240237585551256,31.35062049093342,34.81831389572642,35.30582100702938,29.730283847787156,30.967412215965442,35.57182473011291,37.19738747860161,39.36567018175235,40.4562198609667,40.56312108038274],[32.837861536548836,31.64268623624803,31.557409757564635,26.425547364847688,26.962758634769067,24.75334616726527,22.075471855975945,23.716237770187924,19.578774492352316,16.18366553875871,15.812565035165042,19.97866162080738,18.13860844243412,13.288462287010884,15.915538262049541,18.678861368135024,16.416695491863134,17.653000817382996,17.52161911140046,21.914845041567766,23.658510618246897,28.24289817434568,27.318497593326402,27.664755235268398,25.875695852184396,21.51388180115575,22.110976434259697,19.088243744310336,20.12500268696099,21.91709097918171,21.013655650401077,24.605172138352476,26.754808448913685,28.401150375013323,27.416673622963856,24.748197286150422,26.878648076467222,25.701815397621534,26.558831383363803,32.796867415494404,29.684791215162626,27.026481986450722,31.40857357568542,31.560061381915197,32.320728399161176,31.644864345116417,35.48221071292797,35.645056861193325,32.480026640799736,37.18649677251475,39.056523679527075,40.88072013352245,41.04065691735606,36.15202034903549,39.80541227713599,41.47771724624804,36.97996996769353,36.06156061951414,40.50879660109789,39.743717099847686,34.82780624963774,34.74655081450102,32.630713451918666,32.63083969471047,31.35268531245067,28.91656218287606,23.603234385244228,21.605165531648836,16.96184044655084,15.314649953852694,12.86611378822506,13.540011538127175,17.0012884683851,20.228518600310753,21.92475402145008,27.777598618642724,28.419016677892465,31.787428930909346,32.12874015697393,33.93236055294908,34.35225431016659,35.004974475407494,35.010780560911655,36.58809213829123,33.374059564187746,30.68353403455932,29.81592412412541,31.20864960993199,27.942714888768364,30.67396436236105,26.642913660128386,27.806837661403893,25.11511369796593,24.974933153163917,21.35001076307644,20.974553899973387,17.897152463372215,23.27692349818527,23.558861058498913,28.274882687792797,27.942607547904924,31.07800217672193,30.612615929893003,32.383545837713065,35.63068466660617,33.263492570634966,37.70224071493486,37.949296018824825,35.808323372347324,34.493371536121025,30.535805474412882,27.24639021164136,23.27850798601378,21.436768477880744,17.20652704416205,16.360719917751982,15.675324995107985,15.69690311630917,15.020886251741711,14.112406093728419,11.137209486989814,11.320616853391972,12.286335829342715,14.685162515591799,17.164625635405645,21.209845215713163,25.574197972419004,27.018983204320524,30.898803458248228,33.308446204043356,35.17888980792108,39.114033303766064,37.79268116090687,37.2138939015053,33.40578878485725,29.033294578290402,30.150259597737822,25.559647810766158,22.051472617321288,21.965257840558714,20.493812081991713,22.94271979884845,20.70353722151908,20.85595934739331,23.367962424650617,21.762139174100433,20.592319442432814,21.435099478777698,24.041895825462813,22.69957740527834,27.00348757143617,25.77030867385895,30.737639062880497,30.62791620292635,28.308334859433963,28.52397990453458,25.294589676509116,28.08656234489307,25.466121442974814,28.397186058383483,26.63869198598785,25.696425912203722,24.773885164582385,28.413949412618884,30.696197483067046,28.938320372604107,33.24809854093981,34.6799879653185,34.330882339560574,30.185005065916084,31.088582745008125,27.756050480253712,30.11643354427506,30.79799411680657,30.56337422846847,32.15647085915255,28.707914801991723,34.2784120409987,33.44543357165135,35.90089158164038,34.54511081307749,33.64363318021812,38.02424415923794,40.03656604049474,36.648701401945814,36.44589551687306,33.03458513808961,37.61661337262473,34.10472053043475,38.53624124892873,40.726155229215145,38.128197099934184,39.634790252734675,38.995469827123486,40.73484403262935,42.76740150912574,39.178764913418675,41.70517824406768,40.94096661602349,39.08818999273954,43.1922470124069,41.13977892342665,37.38718969755314,40.18588673293765,42.9370964507281,38.75238922690979,37.13504589759536,41.70629747120854,42.674373434023856,37.619036289676686,39.68842758830122,42.72282116458571,39.36704751905179,37.44514257715535,42.02213044260245,41.55625661988677,46.53337074348279,46.66116312560848,46.290300728960666,49.3913660657425,53.6047203809749,57.42402524216411,58.46654991085202,57.500366244145994,55.71574512990717,56.779220206850255,53.01827611256876,56.9232966396061,57.07412696819894,50.82635470740835,52.435237756500065,56.094666680544606,52.59841648120137,49.52908223672408,51.789674301346565,52.84854871939159,49.11857505378761,45.92789428383307,44.56073913237285,44.5154307409285,47.979365770082204,48.12312953133694,48.65941679234436,51.42308941798929,47.25305585740382,44.9588916842696,48.101991552564456,46.920074385850704,42.15952750102461,43.35318226190342,45.17900581598891,42.81145057430054,41.42154183541159,46.48783662885357,46.43774723461623,42.64208727514023,45.30060229758337,49.17781401931712,48.51725707941764,50.50086300330055,48.5817932436859,52.563929577642966,52.378348928681206,46.82486983153278,49.44878183306088,52.02860600839544,49.39990882543747,46.851274720442,52.656351578519775,52.677908567734654,47.14408268556652,47.977475278148866,53.273769950394126,50.58057981273872,47.27924027280024,43.822081095773456,48.00467278313072,45.7910347091175,46.02690703874977,40.723383523440894,39.9978839590893,35.861531048471534,35.7588457312841,36.589315738894115,39.27069232079005,38.490362991384856,39.82728568129769,34.60475315338729,35.921728528922074,30.86188213609837,32.45635345635573,34.303129398842096,36.82685916652355,33.48595165304239,30.991245439191044,34.242338343662745,34.161420391257955,28.65447358828459,30.099930068490863,34.46282206689983,35.648348444403794,37.67661227171702,38.83269723352963,38.763847122171015],[30.21289035601412,29.328296967917623,29.875593133894768,24.63638425292725,26.16444371343122,23.675144525321326,21.687759980456597,23.717980025883595,19.416375054460765,16.94356453537471,16.841808614245377,21.006525979270478,20.0084674682464,15.157471355898235,18.46100636752549,21.386811149420748,19.454406272477826,21.365874233534697,21.689385093312673,25.94575151510952,27.91876902096278,32.48318695045526,31.619514013190223,31.820922918351357,29.89320667730011,25.542333952421465,25.831074166002253,22.564926472046576,23.559348135348273,24.91331778056466,24.368243837477543,27.40527693259785,29.589273432005292,31.73057229148784,30.759919183329202,28.339856675517144,30.04096220050347,29.2655961097958,29.984417988552366,36.259212582483144,33.219291819941404,30.94446346664902,35.396091137883744,35.44408586083656,36.26267464198189,35.34167475825093,39.21202615587702,39.46775240379054,36.01427867060646,40.575161209249146,42.70987581183897,44.40492200648164,44.75174121860114,39.78149066615286,43.56143185443161,45.43364655191104,40.98378331722256,40.06552260375758,44.60906911936897,43.93464918135591,39.0729035259421,39.05006911503287,36.85700084038057,37.02897628609059,35.7204483750114,33.14841777297288,27.954497089750635,25.762894588590672,21.27429718629347,19.30194632220277,17.071779228895636,17.65830384837966,21.029657499519736,24.524612257745662,25.97131874481489,31.885143186486193,32.54866319701635,35.751941980235245,36.0785594252006,37.9212385529873,38.02630502851291,38.5941523585612,38.207569730106194,39.711753738397945,36.51086151441533,33.93876068763741,33.493500970089606,34.66773112623592,31.782659280151215,34.35321878328574,30.41929926946674,31.595586617978842,28.638417577281597,28.10933343476596,24.240965494775956,23.5411420388449,20.141394580336314,25.52914017928324,25.32866203086846,29.518197367829565,30.018673482500567,32.612663057818516,32.81061306269247,34.01135782178978,37.50323874341684,34.637026144241624,38.91682155285652,38.952247597675765,36.34462801098303,35.237336189307854,30.90774937320979,28.231761110978017,23.98190017303704,22.628772476065443,18.944936791328548,18.2981005110587,18.53517903683407,18.54956226459154,18.906280990160987,17.850611046754327,14.606337196592955,13.939247232323206,14.059480213785822,15.76863728901741,17.51806053266261,21.84896084877135,25.561376781525247,27.613409188328763,31.481244344544574,34.4616649192988,35.90991745898972,40.07897488228479,39.11057084739984,38.79269287380704,34.81155501853145,30.339223468337472,30.778726665715247,26.57190841859741,23.171201447154015,23.8077104218169,22.629101467311237,25.7291072431384,23.84835260621243,23.61687252361809,26.432023225529964,24.772883031233544,23.15692182393872,23.64479497317653,25.76317599900252,23.830477792987487,27.779559386860143,26.213586191648506,31.23110127108388,30.514278185566127,28.805644173182447,29.538264821606628,26.633014685617933,29.384045193951295,27.40721257386245,30.05030768810576,28.647936000865485,28.39951932818364,27.310333157950502,31.288275046754183,33.18079255514324,31.0874952310661,35.17749689752371,36.46903321551595,35.65268255473299,31.539887592790457,32.53258601133432,29.46668647800926,32.26582274411304,33.150641406131285,33.11864877414691,34.54574323397707,31.283954944027897,36.922403858499386,36.281830469200784,38.48433488327808,37.10651309494932,35.635597014682276,40.12351416837142,42.22614622952524,38.88327277777908,39.2507504144408,36.116284238175936,40.76395620671664,36.92209998978045,41.30201271977452,43.200780288785595,40.50943505797547,41.56044181378113,40.598874404106695,42.11288017411563,43.79224125450343,39.87514794500102,42.19956481624797,40.98124207263339,39.240496380088956,43.00442986278451,40.97204321228901,37.15739191698852,39.557826054534,42.225846271410894,37.91140849806864,35.976680416089145,40.4706895371382,41.467740725137446,36.0785523922652,37.926226401551254,40.90028780146938,37.486324511435896,35.267910224217765,39.738215471252154,39.45791697072669,44.448685851860716,44.75000172206778,44.675907657265356,47.72271045700306,52.186235921449864,55.79625977427575,57.1778276480194,56.49022638572556,54.97234483538718,56.325052765719306,52.802496757141036,56.84822881796712,56.6811126454974,50.4783349021605,52.461439032860596,56.023761370004294,52.31536579179872,49.489841111376236,52.030183197088036,52.711348997691935,48.78086727531975,46.16140552816874,44.416457037409465,44.89021778506003,48.27033664919989,48.09436070285343,48.886789764498225,51.47855011620993,47.55121412295878,45.03456965072949,47.78507897738598,46.7772645167049,42.021729047577296,42.78149414564424,44.44844962718906,41.98835505743422,40.35898124504702,45.36961793365494,45.176882030094376,41.121116247741824,43.70925095759601,47.647150659074846,47.09128083107821,49.396101052583695,47.80674286181423,51.82257779798071,51.22035868044236,45.7075715988899,48.710994633864416,51.01257103809932,48.18297282243285,45.991367091633876,51.8536681835285,51.46925318787148,45.943770724189896,47.19551263225452,52.325051210802236,49.27131092817584,46.14348733906124,42.45220061398716,46.46838650715823,43.94097048267573,43.98554746560269,38.74520368193681,38.30365756002131,34.03956487229319,33.7758627466698,35.002617075173546,37.824988042351826,37.453227457930154,38.93761300443924,33.961017685454195,35.777277487759285,30.737837953252644,31.779904909058068,34.06345146802937,36.33868275937103,33.24517614787447,30.458278425417895,33.15951151582858,33.14644326056539,27.84912944282879,28.55640602842908,32.79693797077058,33.800231895385636,35.85251978935029,37.082471881942254,37.03964534678647],[26.421842358237654,25.72572933646911,26.513080118237593,21.565203455771048,23.45837601080482,20.266283035771217,18.6086567107027,20.533169051740565,16.102108898065776,14.42100175919641,14.403151884512909,18.392081661235057,18.213900855684763,13.620400129009909,17.375781777569483,20.331103182600696,18.973390393932743,21.64299008066773,22.946807558671956,26.823793987532667,29.36582569119333,33.8761709482546,33.47072209858858,33.73873996691871,31.411587507654996,27.052776435011623,26.68087546836757,22.97008485347137,23.503165733426744,24.14739046290446,24.032291769591975,26.2787478425347,28.52383054640269,31.252193917667,30.23870485607967,28.22750545160154,29.361388111921542,29.35486148600669,30.125689690801114,36.44241657505071,33.877822188350514,31.847406075272964,36.33900211846033,36.58865674061983,37.845754722606436,36.94533713856096,40.88175725275322,40.77006865093978,37.04342122568759,41.47077046862183,43.567166821150856,44.96698763490249,45.327652821225065,40.26543940210105,43.88202629041167,46.20894356764758,41.955006047190594,40.72297650035906,45.40137030903199,45.165932080056294,40.30964251547289,40.231116412563765,37.81951167743544,38.576213280854596,37.230335585106005,34.22320865543263,29.421840412162574,26.709128216664237,22.74137786651489,20.176960251648104,18.52855635536504,19.59239974978961,22.318644285416415,26.1859801197951,26.82835994147486,32.900018587440016,33.34209276603754,36.227459586524404,36.43884079500022,38.360448993841956,37.95139578472503,38.56111784949709,37.58100266371046,39.189642415593106,36.18625567680723,33.54765461258768,33.61262551796834,34.30051748759005,32.01557014739512,34.29216273762641,30.622837270568454,32.04274408073356,28.726556264306986,27.63317595298336,23.450207830384855,22.65173081230345,18.880241709692246,23.957706482064125,23.242438452004585,26.906581222355204,28.09017307590882,30.195179695373156,31.03026768302709,31.817418730352745,35.672040733493766,32.535239978144396,36.68827102752432,36.80509948559107,33.91383251376338,32.71442122871738,28.24939014683512,26.063995385264526,21.566031889706743,20.917296674823564,17.58832436984603,17.639243931274603,18.564573051460332,19.279417918628333,20.450512827182536,18.57159580777265,15.357778057815414,13.704484378212811,13.894856741266256,14.606542267173433,15.406209158432947,20.14039409040351,22.990305804509095,25.544779637916832,29.34735201938654,32.58748553534831,34.085171300767385,38.26154749869181,37.7386160603814,37.27737570031396,33.54471476953462,28.995547150836558,29.339437163587842,25.554994593852456,22.560214244523202,23.497164913204326,23.301563285139018,26.800945803582245,24.733260100311888,23.88118182510419,26.673631971089357,24.541742250516364,22.634290745662334,22.42341806034841,24.01704052055084,21.488875905565525,25.046258566722372,23.1071713012744,28.06272417981496,26.963298064313165,25.64743375649284,26.724594282197994,24.143017112922365,26.89588302188583,25.51274483169025,28.089409831714157,27.36228706726208,27.650468413640112,26.972711060686656,31.031232870284477,32.95312591987466,31.113346347612662,34.85289672028181,36.43850501867189,35.203308194584594,31.119478940050932,31.812920313510837,28.79887693639146,31.54243319046406,32.28920235766792,32.18177886196709,33.219641603760714,30.04456927039116,35.642823612974446,35.417893578030885,37.367574815967146,36.32952706899083,34.23239729259706,39.00142046619202,41.35182099824735,38.17745735329285,39.040041340322446,36.20518616643157,41.11223580473397,37.32920833601925,41.626804022964535,43.31017671915956,40.3267977478731,41.06822061267289,39.78387972924692,41.01058048337286,42.43540346233418,38.29127270889434,40.27972773506984,38.77492227542365,36.8095971331184,40.32015369629126,38.066180165096256,34.340478824622416,36.73600383839694,39.13410221127011,34.67325450688187,32.98363306986549,37.3065967559351,37.98612339463398,32.60674473776917,34.539020244697795,37.33432539493892,33.75215362340434,31.69407325050971,36.22712479451932,36.17512658747304,40.93671707748183,41.72864943001927,41.53464568172485,44.400145872920746,48.994409849239545,52.44664697710582,53.98230254947087,53.23338447835986,51.8690140762597,53.28424504132842,49.84309529707363,54.061812761824925,53.86179336824372,47.74186346499495,49.867684343971895,53.55227548867799,49.857254910835294,47.13626636540224,49.90958734456324,50.59870498110224,46.57202095362442,44.24906338901517,42.08867991697254,42.5664796336409,45.8023433960278,45.2822740341354,46.039291339593646,48.38696506312057,44.55793039286031,42.087266271293345,44.51184211851542,43.44319267889894,38.773568581195406,39.420256984007516,40.85198510311702,38.2986644480235,36.72190745629793,41.69535987193689,41.33913221155525,37.220673741680535,39.93772265770271,43.86867508833542,43.47579936755069,45.86850431347405,44.44579188501909,48.547139156607024,47.830799130245296,42.42914382161005,45.63807577083624,47.92863334959619,45.08094158275228,43.144054013587855,49.06961403954017,48.64555828885616,43.21747560798561,44.708327374963226,49.83088040773739,46.76724510582549,43.823065814162234,39.969627506185574,44.17493913655447,41.5713036644794,41.24556572583431,36.05983496596744,35.40111156396871,30.963684543285837,31.09134582958066,32.48742374643694,35.561187645654954,35.25135150704527,36.434225486756766,31.464927336563356,33.37353227903513,28.30812716319001,28.803917362575724,30.98075849593141,32.99386473163686,29.888999531274568,27.191571094223093,29.604597618280433,29.394141845474497,24.25213645896472,24.84730895481633,28.930327353293887,29.765495800266102,31.778893050319596,33.057202855875396,33.02784068616686],[25.132222288904124,24.40949915605305,25.508076757486272,20.19021992808072,22.796437273640805,20.36964552604755,19.35858360951489,22.06778184094308,18.10168003472884,16.881766739488764,17.627943456739633,21.62897140720198,21.178426173378142,16.824505309331908,21.08782555499481,23.806142256665247,21.954894793039948,24.824330238978355,25.728714793815005,29.592975274844356,32.01221948899148,36.44240800586148,35.81792781243637,35.720321742184275,33.39749539689258,29.145226299267563,28.78374926293218,25.236276213939604,26.326429076960153,27.196641693016353,27.760189755509835,29.76700378216185,32.329732973236844,35.08094794406799,33.758979865212424,31.520475200449006,32.40873208403753,31.98080109462066,32.34125435615502,38.525514320631615,35.65001920056486,34.1692128716618,38.697618977568546,38.53263525624834,39.5620538112877,38.26091908762779,42.15693687545526,42.41886469639114,38.46594163973695,42.689891672982085,45.23161997834548,46.649590032933915,47.34718484088573,42.28373369904322,46.327970990642406,48.55689237852484,44.252424311039164,43.433459239903506,48.157148048801716,47.64062886456124,43.00246156453225,43.312134494648504,41.14819631586806,41.728299067199984,40.10816287456468,37.222087868210124,32.5055702500283,30.039367632050833,25.952759742580092,23.804447662091583,21.955750271677914,23.090334919380787,26.07400017567976,29.651434166574678,30.526816672706445,36.64604484675598,36.830050710263286,39.92976718498013,39.89167906580181,41.5367800541156,41.01350145462288,41.21358648002583,40.268938403019796,41.45999149590792,38.26196454453871,36.05540884740395,36.372995287127466,37.40473528051824,35.25534407773888,37.94779562819784,34.370514884843516,36.000122292017856,32.77072842403631,31.709615272965085,27.43061534777879,26.843350592266336,22.960547317757328,27.784104888556918,26.777677767062436,30.200099789000273,31.376691023695578,32.91813935041124,33.801273751617906,34.004414911437195,37.52442933446808,33.9772970415733,37.92547460845091,37.56181708795933,34.414418749708844,33.72507045267946,29.014912031211587,27.189751558655086,22.86199630885406,22.056258202151504,19.452712878770495,18.971354913727208,20.476027548695175,20.505639521955935,22.457869954316696,21.228367016718824,17.75514785991506,16.09344047522828,14.990385547965412,15.584821064025633,16.265508219364467,20.504567032204083,23.271225939645014,25.950237442385447,29.663353001058045,33.328455779284766,34.112580914178025,38.51342162400823,38.01188419437344,38.10820800114111,33.930889989100024,29.461600893197385,28.97075827162285,25.444250977655724,22.398263645767052,23.968799998899275,23.45210863314292,27.36780662868889,25.964204875101053,25.099230713027495,28.251801184647682,26.639466623573338,24.411919608415072,24.53450639364981,25.92328844184967,23.485583100757907,26.86431486476159,25.319419820228674,30.332457214209093,29.301705311345916,28.523856246003326,29.549268288389904,26.95506275153003,29.26872066447148,28.156999955300613,30.01360207390087,28.921325773527787,29.721655456155162,28.2905618088026,32.67060670738953,33.895253196433885,31.427510976137093,35.055213276225984,36.20449593681674,34.72145719252099,30.758966605797536,31.784086645521995,29.174237115224315,32.50882258811298,33.70937959401078,34.066144200512284,35.346300859611425,32.58008095970159,38.22489266485126,37.674807430672196,39.432733858724745,37.895619961327135,35.675572272703725,40.14731365522962,42.313196427789194,39.08890857396917,40.32564207702329,37.6999355624953,42.38765251568604,38.12211551051406,42.33664257299442,43.751825362442716,40.92251983537376,41.28317836288316,39.868389242014175,41.03500488459784,42.212605716126724,37.93034265465921,39.96361982916343,38.20749073665907,36.68903923354478,39.99727731914979,38.11589399253525,34.251187028957574,36.07938652700955,38.69364790942352,34.35691779187789,31.962331581152377,36.348853802283486,37.525999561473995,31.80829613829569,33.33633081764042,36.300448673932706,32.98527297291174,30.379840714538297,34.66967052330706,34.475313520011376,39.52242808261518,39.84007988886982,40.08186545932099,43.10372682823126,47.750763716047345,51.18338641453951,52.853086252378695,52.50879674858295,51.26091431271558,52.942269365388086,49.7361065806421,53.85834145033789,53.2917458191135,47.18185353911433,49.58860536290702,52.963565981327974,49.02446442722955,46.515648099220996,49.35515829220283,49.56754673281466,45.444863636610755,43.53517641599806,41.371049364188124,42.51611902992357,45.770475117212634,45.27714748041596,46.45298039997762,48.911613959299494,45.3608242250712,42.49002735788122,44.83530444939721,44.186563807925076,39.4364423222557,39.59910199333575,41.2331654984987,38.79010592728173,36.75882017835448,41.65357617890648,41.463382343276706,37.19218855945236,39.49822120195417,43.47503023395251,42.90676069564796,45.52014204706417,44.26414981544068,48.22523239310345,47.17098226763329,41.70671015702975,45.05293955438447,47.0008460093641,43.97439025790832,42.14783924441632,48.004941343267674,47.18397511518793,41.70191291250649,43.3796644152643,48.283594981107726,44.8832709748732,41.96146695659867,38.0600578659634,41.895956285223335,39.09265023335995,38.94754220583003,33.80348703904436,33.65065465190152,29.34304426194951,28.88444311952254,30.482623266000935,33.42348842121887,33.482510996456874,35.104230958324905,30.509583286010013,32.89864603036166,28.03059041167686,28.466503332375037,31.368312102189446,33.40212921748427,30.841240843917014,27.567113610079637,29.60341169485822,29.929886806008064,24.970521048087374,24.634769976758474,28.776898016972165,29.806833005836676,31.94402325053544,33.22447424137367,33.31605774558308],[23.03516596413227,22.885604851057224,24.551253420256316,19.903051339366847,22.98920509579805,19.26578319653143,18.672584737181822,20.750313888711645,16.483169786942657,16.28255448128116,16.492440895416657,19.951706703142754,20.828849586665193,16.789522029223434,20.731977759049364,23.62559598665576,22.755501957383803,25.904439978438326,27.67550240250572,31.322776031410378,34.11774776170238,38.567292772810546,38.330678716758534,38.53775240370374,36.03765138539934,31.727945410724317,31.00984815099101,27.117938646949447,27.4632890258548,27.573072457526422,27.794992963813577,29.339510433475645,31.530799979625677,34.74405565831334,33.772177580667744,32.120494060932515,32.76239004123422,33.2940730380221,33.98756514930709,40.23817923742284,37.920789489025665,36.228206773344176,40.72570550965198,40.97785539146639,42.3977576496891,41.36141266898026,45.30277367182147,45.133181648167614,41.170685606907924,45.41029023764368,47.650635431958186,48.848398135344716,49.33532828977907,44.231767135615655,47.831730850461604,50.44045208423344,46.31675815837868,44.97950791845352,49.73051221096087,49.71125601682982,44.91279853846416,44.83706903093007,42.31385382961798,43.35385637787963,42.00024427901408,38.80000550245585,34.2125392999432,31.275642430522204,27.571327832960428,24.742948174723768,23.36080512361115,24.428273228704196,26.92736711111325,30.989730116471026,31.27917818155181,37.34460318835306,37.7551175612056,40.389466768605246,40.571219973256554,42.53792170552191,41.75229625513057,42.325756273575145,40.867129099472756,42.448590582330986,39.58158912899341,37.03918914920645,37.55629936168808,37.90661654864408,36.107836697308905,38.12038570695215,34.65508318624918,36.11139103736318,32.56531733885514,31.058167167867293,26.763639611232538,25.718508001430553,21.82926743817975,26.52424691273172,25.285622258337646,28.101460012837503,30.236811326372486,31.63577497489784,33.26024197130619,33.40520569494627,37.5247110517157,33.9518538324002,37.80178087534108,37.77951990816952,34.42295038481136,33.391174032750065,28.687215028831965,27.373170568751,22.767522231617516,22.893332151293542,20.35929378973296,20.795494209192075,22.43483421503492,23.303502934986124,25.1589347729717,23.07282061790887,19.878984160895243,17.71422770898094,17.445115375373682,17.295536355389423,17.02030751557067,21.73061379235537,23.386182878880767,26.598942946344152,30.19535230644351,33.93276546111109,35.05627651317358,39.32913719039648,39.31429313213572,39.00949772752328,35.340463908219974,30.822297121712108,30.555293471761036,27.43070576779321,24.837173252915786,26.36555185424113,26.705397916112815,30.631680135479037,28.78145706524503,27.535000733630852,30.425373174686673,28.16595803314907,25.951665015595523,25.253415935616488,26.19814198939422,23.08054154791915,25.935818595480164,23.59337409900204,28.307206802223664,26.44267162745994,25.97840141459925,27.659598545130812,25.647005462051617,28.249971271698854,27.707588921695038,29.9417611919308,29.810570895242886,30.787927941107164,30.174101889849,34.3785255778007,35.99695075491944,34.0563178863221,37.409929441064946,38.969236469047836,37.23378423588414,33.29816534695697,33.91896883528114,31.225265443921366,34.189179166079924,35.00855380581662,35.017178741364354,35.74479916930488,32.82033667520425,38.30831279579626,38.40524266443821,40.0314949524906,39.14225425766317,36.40727171268545,41.275249501497,43.757178674768326,40.743045612124774,42.203692040701085,39.71833585329746,44.69577494067388,40.752522005719946,44.925401917237934,46.292709545998605,43.173002681270056,43.434415495052846,41.787447983717946,42.68696290567186,43.6838902121603,39.23962715691806,40.852649430036244,38.834637946837276,36.90160976071019,39.89066106366957,37.581919491488364,33.93799543792765,35.8917028420277,38.005850253402755,33.4300555419559,31.60783035527887,35.65143201375375,36.155493871704394,30.547621883717987,32.25207281341433,34.81715989764111,31.123801549349857,28.88222657816191,33.254385232258755,33.555702250968864,38.11823251752414,39.38269871314215,39.43056027885811,42.0936817119494,46.96394995631946,50.080814474261764,52.02918158532394,51.52461265460365,50.516763595876604,52.2231988958571,49.08825199344322,53.478554203195166,52.97140669390143,47.013463708854225,49.52874639317859,53.143401859481685,49.30562784709967,46.899827333749286,50.003820286880455,50.346731572053066,46.14405724187092,44.523905796724215,41.851547652526065,42.7901252873203,45.82453364499518,44.843522659772475,45.80063096961398,47.82358972111736,44.324735337963965,41.723106795627174,43.56034447939843,42.63365757938035,38.10725930823096,38.2644630193151,39.372044749513556,36.71469790063685,34.9643076767403,39.771324012266746,39.16939694344062,34.80274392703309,37.49259663503786,41.431086999757454,41.25336213326618,43.99157856504153,43.009555638722134,47.13786012530562,45.95913150811195,40.73611055692537,44.38599036342864,46.37028556710476,43.35183645989397,41.93702724711202,47.867714069795944,47.03406205928061,41.741825431486724,43.745237798839256,48.63376735727676,45.254861274259795,42.61998700961158,38.51236351409366,42.58483138404174,39.66200337281625,38.93348903920883,33.93624178012942,33.46371279100648,28.888399816876834,29.07788318159071,30.959597336644872,34.24293652392226,34.38235868263825,35.51775447417306,30.927076332178764,33.29973755616068,28.413689419258695,28.05680536432872,30.520251987310917,32.07761968691119,29.296916644438642,26.477354496801173,28.060089914921974,27.794322574171428,23.18029267144999,22.87073696822705,26.562187704069082,27.04391092217595,29.02756545595197,30.40006697863917,30.40733594969497],[20.246769632744748,19.937137061297996,21.92244362559088,16.89748220688543,20.89833470465647,18.379468682198176,18.70084495334173,21.792140443499775,18.426913153830697,18.71393160074548,19.98330393818251,23.443976806584175,23.750560020734085,20.12814464245455,24.74869378498967,27.244697638323988,25.7275503838801,29.22818081331829,30.677751848674582,34.164299441507616,36.94165578944124,41.23255874380095,40.86607627906422,40.612209951436384,37.990972045623266,33.86536446203386,32.969621542157924,29.236646226012073,30.212515025981435,30.53540105146459,31.834939872500307,32.92533715972782,35.64395217390212,38.915228755030356,37.42055595967979,35.48413290166705,35.67487246831487,35.73048088734752,35.873830105962135,41.88615002810512,39.30882842741626,38.42577032413439,42.94680590153835,42.70406901043084,43.96389754048226,42.43306529686053,46.311018626953,46.489916317605264,42.18295274220703,46.07633194194029,48.8612868274668,49.987029761140754,50.926882364467964,45.83395157032685,49.95637596931697,52.537579673489766,48.42486785093298,47.583595659977675,52.41759114241438,52.13432513574311,47.67009210378988,48.14985968972117,45.94667731055336,46.919125280471086,45.13607190839855,41.97641212029553,37.66765418201896,34.942211678455315,31.24342069170109,28.877836003144626,27.37165904758556,28.786318390566805,31.43520153795231,35.14007620584751,35.51438800263833,41.71498350547498,41.603925799916595,44.50320184451193,44.23754384882346,45.783878947398264,44.715992499767225,44.696450565306556,43.19393732450472,44.18658104460251,41.11497462022068,39.18042569097443,40.14706302281123,40.90528252385222,39.43256209288057,42.039336484335834,38.79381081390298,40.696907224781924,37.23883149659741,35.714206381508674,31.22008846512394,30.62982944918441,26.52396229836804,30.73604604575771,29.070374365199587,31.5826753303406,33.51964956062189,34.06067762831971,35.693201362630404,34.981487076432416,38.57262422103081,34.46609969509156,37.968913308121486,37.29508319705367,33.62656165195244,33.307182549227626,28.36225474981568,27.59356566370234,23.350304713328352,23.327414756404966,21.86239126619221,21.744473211462285,24.149931127557544,24.35984723215452,27.30750726435062,25.832156649160236,22.404237303897464,20.11359303300869,18.4330817236087,17.937334135376243,17.367465523706596,21.230695159849645,22.570205960221774,25.89444304183338,29.264225962721518,33.517767296317516,33.686665376079944,38.185195991801734,38.27117335448466,38.67796406762666,34.531089255595546,30.199251089906777,28.850931542691825,26.254313799916794,23.816802988070798,26.131958260669233,26.380960345389575,30.796635874576566,29.71991745336274,28.315914904339007,31.57295182150484,29.91290365851189,27.286974237256846,26.930420860134898,27.529613976129788,24.607371458445755,27.155039839280004,25.52610819204432,30.250027081520216,28.752571455905063,28.990441214484907,30.39511077297447,28.314861683919464,30.202449814408435,30.0333477881127,31.20393252032121,30.643062898491525,32.35918031630927,30.86260019194608,35.41405795172008,36.11782068932671,33.5026656933589,36.550016902834344,37.62696973779019,35.494677004291894,31.80415982806293,32.73745967037782,30.62831245285465,34.25999122772333,35.626745779246086,36.24029274891895,37.23974243000414,34.93737522601943,40.425691153496516,40.106628887928835,41.41377297300263,39.90812711652436,36.94862146677525,41.393738161558325,43.64665409764891,40.639816797412756,42.68096944258751,40.571335787017176,45.27491890828501,40.788104162174704,44.77481111113377,45.72659174763926,42.75790160795854,42.45348516357505,40.584377899044135,41.329975685596445,41.94523223519492,37.340447268125544,38.93194468420014,36.57553579547702,35.23361741894517,37.902039415636224,36.12059391319418,32.34053540274472,33.50879806488032,35.89135817779865,31.553960745578387,28.80448085300617,32.89019928453395,34.096377844966,28.108035064525723,29.248051674521093,32.05572204576121,28.815896317691248,25.838549811450683,29.85598563793236,29.905614755646507,34.85517505541783,35.42865530075145,36.01134606994755,38.88400929356728,43.76651850323788,46.88601005975571,48.94876142932308,48.96170805509487,48.08547598178196,50.12092117856192,47.30960256313557,51.53662662753344,50.55526515952267,44.647779601290196,47.51174066819082,50.7056593587376,46.581896577305976,44.47194670712466,47.65837760439876,47.39524614175757,43.092098645056595,42.049383068661726,39.348334596526726,41.14885205766014,44.168248693274776,43.2274410975901,44.74480198537999,46.92632798704521,43.83491841741503,40.6984312843745,42.44737209952113,42.12963642464505,37.52056604648807,37.02041869033742,38.46069943327355,36.0253953459705,33.639012474752455,38.30009629143492,38.0111187471543,33.52429721427261,35.557703307032256,39.52573150936195,39.04781872439868,42.02361057072687,41.22927240044369,45.12404647454281,43.53634781743104,38.247235168270265,42.02110921532505,43.553308391328954,40.33053584382041,39.05055995567981,44.852162674713405,43.53395081127133,38.20536401049144,40.4350857083724,45.02330672409114,41.25778803793334,38.677219089785105,34.52816693031285,38.15404961393083,35.013068513027875,34.48910877802468,29.5600345355413,29.70349087293304,25.347055878543454,24.80039046154445,26.928050594120965,30.043962963398865,30.648829150766414,32.285092758917465,28.253253241625288,31.22430020956636,26.703136724457615,26.23674635143153,29.644688305120212,31.235208576325512,29.28977878696255,25.69699891790424,26.76807602908441,27.341668901817467,23.059942189982575,21.461498206793642,25.220992663176965,26.11672947317038,28.282146358793085,29.61338868835539,29.824326743141434],[14.956570232538237,15.28083027757491,18.164293406441992,14.144972046920845,19.10386579614078,15.841677151042413,17.37144594699115,20.231276137656046,17.52666147495783,19.29042532362819,20.72726581504025,23.3834393614684,24.617829170199663,21.871032078480376,26.454950635131706,28.697863394317057,27.808782671615337,31.803662485961773,34.01712280330124,37.04353111828889,40.2607697519843,44.401428114667326,44.47095753634092,44.26988046136893,41.32370056038043,37.30161479695856,35.82043467059277,31.847320479532623,32.37540976800443,31.971643173554764,33.750413782517015,33.891114884793126,36.59132580148808,40.36928920008454,38.837960865825146,37.38728492084756,36.914984159676116,37.74974150077047,37.8928308927564,43.7229133129599,41.71546462511912,41.161267794987374,45.609616827193676,45.55076295749586,47.22399533248158,45.72359832000681,49.59466086177953,49.402851583779615,44.87942981472183,48.51882588958075,51.24301394942556,52.00737572125978,52.98385801048399,47.89529685829943,51.789891661228765,54.826847518492926,50.99865153749431,49.87335173208224,54.77145782299537,54.944172269838724,50.572524229781806,51.01964019229591,48.652677029861174,50.181996360956816,48.369237376619296,44.84739534389111,41.009873774156816,37.89834860250549,34.75237201663424,32.01730930460386,31.00581409877745,32.723692845953245,34.82292936576874,38.72435211871999,38.402637834624855,44.597865457049096,44.24766673171423,46.7794423432688,46.369023659068525,47.92933072871496,46.30810553267818,46.27931079514642,44.13091178297357,45.149207979919936,42.3859718218028,40.511479630290026,42.052048892352474,42.292046567752024,41.540673579592045,43.80941587332453,40.955469017796624,43.07255142071291,39.378889773352846,37.34846912616146,32.75329341306598,32.14218819445428,27.95787082055557,31.41421979267176,29.178140269443723,30.689990004560123,33.42072567360066,33.08424087837072,35.51879016086307,34.10533879692494,37.937241284702154,33.52498866519687,36.58990205625755,35.922718394595734,31.88163770196193,31.614719900697118,26.66964300181337,26.930603003995138,22.807655640130253,23.802172650715132,23.202950734859268,23.783358268692915,26.721134627956673,27.508058890155176,30.994955840260822,28.948169073020342,25.764059108649228,22.921126400605623,21.377778930539428,19.90613943217844,18.12732338775701,21.723258274683864,21.37798957745622,25.280480922503244,28.22535605812012,32.76200883219697,32.77827805303167,37.14056153497205,37.90790513792364,38.22728894185582,34.52863329309268,30.369790579599787,28.740685404625843,27.056721991097742,25.391966239361157,27.98060319373883,29.268078521310827,33.867114394848606,32.69402806200052,30.74194021813573,33.826185354782844,31.818577683850926,29.00952274120302,27.933544070413518,27.74688870682046,24.309859198708487,25.894545667180978,23.986553742916026,28.18654345404419,26.169855160707744,27.32322297570287,29.1261541850349,27.707557644457573,29.277095489905623,30.050115317415628,30.82768873439082,31.137942388596436,33.52352550150183,32.475416518766274,36.92798022918905,37.52970689744533,35.2574851104238,37.70352610411932,39.04643827923743,36.40958676785796,32.97527267002844,33.51200252929946,31.681917937428455,35.14339157853551,36.349687316960114,36.928737166690425,37.429109805244465,35.447567577682875,40.63545705241179,40.788490137876565,41.683558877160856,40.57742085911572,36.88841986451162,41.46221304162723,43.93378778042809,41.25016933101248,43.91553243045001,42.267288636356014,47.10844000883488,42.76289367938244,46.52545263007879,47.148109194970964,43.920675463607736,43.15777512279879,40.88793116295767,41.18293131709724,41.341537029194114,36.52487093764902,37.524980154244574,34.69502315384405,33.178071904872084,35.21039779278156,33.235980862219314,29.728377542105456,30.579934757553513,32.44414612223703,28.026087404730163,25.54285312945398,29.135891804591076,29.88865644023794,23.910528342327574,24.95752152789681,27.380629064992558,23.972602042120528,21.08202547496158,25.017514505764247,25.54005569051008,30.043882011866657,31.449231578708144,31.978983387418403,34.4963250963401,39.601514859190566,42.36062632605196,44.75895092837963,44.815426104780194,44.279211016069745,46.49255792223801,43.95922039349888,48.37793656127751,47.232371430878686,41.58742459585211,44.736021426518974,47.97559903111374,43.87685026079802,42.06641573830785,45.58961375419618,45.202618943464245,40.80627599148627,40.428752975438144,37.10127677026693,39.07577587149335,41.76902937224956,40.2673155411126,41.83308809573696,43.578154684585556,40.834693622726256,37.722024493461774,38.80032260938972,38.55062763442197,34.20846160079012,33.29342067411651,34.3231587505587,31.823746735941207,29.379426329236782,33.80436642793697,33.26495697029305,28.6487840812949,30.695994545815857,34.615514666230126,34.3984792593878,37.610737378375596,37.23113353318646,41.157190172910035,39.23494901497729,34.23336692612942,38.3889153712514,39.731276577222125,36.45502496696413,35.748297438805366,41.516559752412824,39.99539370795835,34.942780243487384,37.64539195622301,42.03925466242289,38.20824012057166,36.04742898513497,31.68386994495961,35.43094429055061,32.13994745980483,30.931842233744312,26.2785739770034,26.202369860080957,21.684156697812956,21.747290825078313,24.27718568240354,27.715012954902278,28.579894431013855,29.735420117182464,26.094306008183395,29.27817382819119,25.096662180509455,23.54438210667721,26.89363033859569,27.885946068283936,26.31023157126873,22.841685518115117,22.96286312564302,23.403408395981593,19.937457074704792,17.46899289843548,20.61409892011418,21.185315731382055,23.292265407715163,24.693562682785103,24.978780965783763],[16.780913621323716,17.92714285484679,21.19600883949234,18.032026993295624,22.73440596458449,18.246621433128915,19.613708384629383,21.492741123324702,18.259306869434987,20.367665318275197,20.925427932830473,23.127696999163966,25.433730111167343,22.645098182232566,26.583270881887564,29.11363370230614,29.009576461526375,32.82445381449353,35.418611661827455,38.52580740071736,41.808153029602074,46.068316503469994,46.26727198465465,46.41791149884156,43.54780681629124,39.3849855588161,37.98270364161955,33.843504753149375,33.78979060497785,32.9909672132743,33.91100306849661,34.13430005215376,36.260052901834584,40.199390110438536,39.20523050522358,38.19631060729186,37.91737818373265,39.39643150595926,39.976346394488786,45.96429449373427,44.25311250722889,43.14348527400384,47.57080284308647,47.91333794065251,49.74117169641416,48.57678211159735,52.50071706060288,52.0477235883125,47.72807155434342,51.58292509809128,53.93005491499754,54.6842184810432,55.33484044117497,50.22842284502595,53.66651219643147,56.831826169375915,53.04201701333399,51.45642252398593,56.29982198114108,56.77361195170531,52.13494738681609,52.08721577407537,49.39332725208544,51.063094341644536,49.64368530853859,46.04258359717184,42.01528371753184,38.67072416495728,35.58753072602839,32.39300164958043,31.548201764453005,32.88294035343527,34.813957156425545,39.08092157478344,38.601148601956716,44.621634161399705,44.77282176588287,46.9381034379593,46.94594049298143,48.9098129146189,47.388835676380026,47.87797123591318,45.553219066829705,47.07468083684664,44.5653020800153,42.21774625219452,43.54844323721075,43.27123282459017,42.44153153973275,44.02252288956774,41.07036451231393,42.745492242633205,38.893996510673084,36.701422637525766,32.3167030866065,31.14056857272435,27.212942906492486,30.827364985591675,28.738363197699062,29.914408163883724,33.42854874992385,33.45767990906263,36.3476709137213,35.360263638183966,39.7845374580224,35.65431183946406,38.79394157756279,38.62869504040432,34.63886867732789,33.85101288288239,29.086456752919297,29.384879840713324,24.998607095323116,26.468707798585672,25.325325103516946,26.445974297419163,28.97290537407722,30.257076341173473,33.05238526711793,30.515686579141164,27.51781737980761,24.691238907473632,24.074940357426623,22.695062142756367,20.846699549985836,25.00643356191943,24.365604338958985,28.418049285373947,31.37670662829553,35.67305080954876,36.277374075048314,40.4474934884524,41.39587015405387,41.20822845776305,37.96993301151376,33.72191712326032,32.675954838373755,30.874871470289303,29.21911709704337,31.41491952203402,32.84729483958343,37.2160031668822,35.55454994337144,33.63943439459335,36.47486471770502,33.95930465325237,31.395270844257027,29.864343448647922,29.678034810841858,25.83947151184092,27.221303069346142,24.422741920013074,28.264825812163053,25.284010175747206,26.442718019516615,28.935342814494486,28.025771864212878,30.129511568457144,31.05324373788726,32.58774011705172,33.5731244667075,35.61467988641539,35.31537876329312,39.52591048307323,40.73667748281324,38.93030697155833,41.47105468040922,43.137818286393546,40.618871447637076,37.07728234261754,37.37189025778863,35.23748047086706,38.25077756536268,39.036803138565254,39.15467581385732,39.25834523050321,36.87276316964712,41.94681546626165,42.642086502573285,43.647378995264376,43.15503250572467,39.373775457822084,44.31720190054153,47.026810642589986,44.42669855769467,46.867450893807224,45.05629017193854,50.13086936358002,46.14724428667108,50.005696139555404,50.82685039059682,47.44485228427088,46.9225151958147,44.67886567966917,44.94001207624226,45.180410603969605,40.3828078866032,41.17850027333054,38.356367587789485,36.39403303302374,38.30469849374067,35.86265279477648,32.62013379737383,33.81401255215049,35.17448387498189,30.56329332607038,28.881379873230706,32.09310503132796,32.02273262023356,26.388543920864816,27.698575531557744,29.58311882036194,25.73877903263159,23.48499036289915,27.412419550915693,28.51072438841262,32.32510862200894,34.759383520633875,35.04332252899231,37.131353234063646,42.3812526434386,44.7839151496296,47.4227912708039,47.23466508479369,46.89311463550229,49.0226592273029,46.47697295202098,51.12027239386636,50.16743873027658,44.6800970538294,47.77087440890844,51.28185368123893,47.371939146612,45.55958542268515,49.19109311553867,49.07118107612247,44.69479340381248,44.31036180137003,40.73077392349868,42.25647892989527,44.78736384914819,42.937773866724896,44.12442216948593,45.44314892190522,42.6206420845026,39.95470990911248,40.62220274308704,39.91427990971879,35.855083814344205,35.17277288871058,35.56612966011478,32.803798007673244,30.887271914881005,35.185643660332424,34.099949833089205,29.452464312787253,32.079568122968816,35.89148925110961,36.18707430846811,39.441137187033725,39.2914946661471,43.38980863814534,41.46692336216684,36.783658154534464,41.120603717965295,42.58533851866689,39.40321160321298,39.02260382161292,44.80320395217823,43.385730245429016,38.56500460273631,41.41844172109554,45.80982390585766,42.10433908553931,40.16710709459137,35.742162010774464,39.63757155680651,36.323660200555864,34.66977418059608,30.260424863683994,29.864469802305415,25.22739817966621,25.914588857713625,28.527948581376116,32.12340433338217,32.92538550384872,33.64370016270376,29.904880796420052,32.8128327612647,28.54616799498364,26.57517112164386,29.168197997375227,29.73050229672689,27.67336364384397,24.976966838014707,24.864816128189343,24.3987790230072,21.273150880649673,19.365868322102138,21.836980379573113,21.52679879593337,23.32241762490067,24.802775371036574,24.889421047122806],[10.948132235951146,12.565998363256664,16.44196423908586,14.461766932656866,19.64742969823621,15.279981005514387,17.815210096719586,19.774891178471023,17.794462259834336,20.916549431695483,22.12652636555075,23.70756907480369,26.0881891290652,24.259349876698803,28.401813028744858,30.410135407895986,30.368587651238265,34.631508079246615,37.606834222441286,40.192151166348985,43.78734300443209,47.78214870305983,48.30326333550403,48.284163028164315,45.09493794231336,41.164923589667026,39.209644406177574,35.03936865560583,34.94744871912777,33.755346759956595,35.663037708137615,34.92725165640843,37.3675971610642,41.60100983259629,40.226619528059516,39.40517545213808,38.384835075392,40.15538213205109,40.459488597329276,46.087787684017556,44.75771397867841,44.295268540059084,48.61141633745074,48.87990566999779,50.9836567133335,49.66720057683451,53.51930995711227,52.86953841662971,48.28081216993209,51.73761662860386,54.210706130293545,54.62562967172083,55.49078560343092,50.4523607481861,53.90846840426051,57.3993771933513,53.891584006372135,52.33634979093115,57.22774274719154,57.94523505685389,53.60228081675909,53.843571412196226,51.237928751930255,53.32987805758804,51.63410321190239,47.78072315695564,44.36990566557388,40.873192997257675,38.30450212279553,35.15654516686051,34.65650156833671,36.51818846966404,38.02995185030652,42.14913236780137,41.13714639144075,47.18815684298814,46.75978118805854,48.79644067031808,48.38071170092797,50.06659237789798,47.973274476581516,48.12190368696943,45.32738606361726,46.54595515848075,44.2181956481984,42.2478388773689,44.22312288655604,43.78863048305838,43.705371886901936,45.39878233116154,42.93666631677899,45.10103665614596,41.2020633023428,38.68446651773583,34.16548415199836,33.40889762941974,29.359904936688178,32.00510141449659,29.332402218657137,29.68055618864628,33.361466547826055,32.28163589478824,35.60400222069121,33.6989272808525,37.912642231564135,33.43373371707781,36.02877419903955,35.62060278655016,31.35535518078201,30.893640262666736,26.214434908179317,27.48223015954526,23.568036770450576,25.652339750660627,25.628968502656267,26.99148018520905,30.112304657038727,31.557921221966048,35.16917504282994,32.50089803137402,29.670341904547037,26.471941402381987,25.437017491518798,23.29810180729134,20.616937748752132,23.983882644625435,21.979145716556097,26.277697169888505,28.702625658904232,33.231739949287224,33.40814735625632,37.42744137654971,38.90603019385388,38.88013382356918,35.91527535835255,31.992009815235765,30.476637125351637,29.602092584056514,28.67329553465105,31.210790288258544,33.4228505263975,37.982367117208824,36.528030844369006,34.15477914272117,36.91176797985256,34.43790960107206,31.642049247049634,29.77961093998051,28.874688072443337,24.952633664355137,25.42988040574783,22.99690217015762,26.322157955873035,23.49802163750379,25.603663857181136,27.966887506057436,27.447861201247726,28.823981068236357,30.54960316672208,31.21001501140263,32.61175607860183,35.405381403802934,35.10131259578215,39.258754739909634,40.02549211984128,38.334856705732896,40.23839241701366,41.97338825124469,39.004043953699444,35.81597660032609,35.85079805451064,34.1610962114539,37.162893432639706,38.0036073579635,38.341062392608194,38.198206263913065,36.41272608452381,41.15459565636428,41.964970481715056,42.49712777821,42.04649790308896,37.70934150072069,42.477536156263085,45.22345276983394,42.925640802217536,46.02119330064157,44.7520433457397,49.757380775804315,45.7706686065186,49.31975629886318,49.73212618231587,46.23168087711234,45.184639963336025,42.6017014011059,42.46002976659783,42.24413424003133,37.34659977094054,37.66265238722877,34.47100158122564,32.5650597668416,33.88031789640549,31.49887098764308,28.499845463197225,29.232094507927137,30.250396965832703,25.751383029463078,24.12701849463847,26.891840113316523,26.67058538473061,21.078326139294642,22.205353667688836,23.847820512024292,20.050191400966696,17.795012437640573,21.601308379074702,22.94246512813845,26.462648320491702,29.320477883280965,29.543967219295336,31.4157978822981,36.73368214371145,38.96209321132178,41.73972187797732,41.64723463545931,41.519768552382914,43.81076617998472,41.54427562170093,46.21751614771411,45.058335554585184,39.80945186232604,43.13239350952372,46.54090191799603,42.64129932944197,41.117065832090084,44.95606628311168,44.64733583226689,40.253409310284084,40.45773206931202,36.471183596675885,38.29227700327628,40.543381849929744,38.348292581207716,39.73134736386873,40.81994174565236,38.410108737030704,35.59377901443153,35.79462183369883,35.38770904116992,31.52112453410762,30.327911456465774,30.60664641752906,27.951312493379497,25.760180151807674,29.81881840119089,28.75970879584016,24.050024494136853,26.411740568347614,30.191487399076387,30.50727664231407,33.914383569432424,34.04572966625534,38.05403030741328,35.86710841467384,31.379514385347143,35.92304823180901,37.171163272737246,33.96604590443012,33.97835803959978,39.639517326895984,38.07150118042286,33.49825571800291,36.643561352769765,40.821278118695886,37.129730231492594,35.51455924774611,31.032204459021187,34.97698193933045,31.68024553371705,29.57449092302479,25.44395847883394,24.83686694534395,20.25349110126198,21.432071120494022,24.204832815087112,27.91972393325297,28.87841172749743,29.227372166300107,25.995791315578693,29.07519753989734,25.335414359140763,22.56704503651295,25.293703323841974,25.415046380369798,24.052361745579827,21.245636021786126,20.219168823376414,20.029948125376503,17.831946070566097,14.820739465553654,16.705205615578652,16.43394437415018,18.324837592575598,19.862024459487333,20.195246016871465],[14.699052119172233,16.766626214048426,20.964792869317563,18.905859924056394,24.267922128339617,20.01267377454168,22.333284121187667,24.172029618237122,21.731794305139005,24.556272296034308,25.337832700435776,27.04339685463749,29.672479528821157,27.383999552329954,31.325209977120647,33.649794692302386,33.69706144601685,37.72006495757621,40.49520108710695,43.40331926682801,46.82183970829476,50.983296166412664,51.30132288648126,51.35796367899917,48.361311243481765,44.29033372347406,42.65428549975585,38.49587601774669,38.4108258571966,37.35133717906977,38.63792607334891,38.345284623985705,40.48317391278498,44.649278131512084,43.590007018095704,42.77891560190169,42.11042241754933,43.84029636567861,44.28704771597741,50.085849333327005,48.567376463619595,47.80206344262721,52.18511283267635,52.4744843971996,54.405846424026834,53.1121326226873,57.0025220990907,56.51721178501159,52.0287373450195,55.655456174636264,58.127889805450494,58.69607524364833,59.48848649524605,54.413611534591986,57.85704959320613,61.21654888248888,57.56967946325742,55.981167720479085,60.85177727691134,61.46298698990787,56.949552450057084,56.995766110442595,54.29599780846161,56.16527109537175,54.66667066304005,50.948815807688796,47.15199226206691,43.72209367499135,40.82858530704423,37.599044116038684,36.87974512342849,38.30709584953157,40.113027151026905,44.391448423960824,43.69939984718087,49.69769608710101,49.70056160618475,51.72701413767688,51.61466769006618,53.50718520841839,51.67921398157976,52.03872289362373,49.38874914184998,50.77268570589813,48.39555747044518,46.24972561510865,47.94237037857599,47.49771008878085,47.075327737855204,48.57148360187911,45.8489538625852,47.63874223966178,43.717595174800906,41.30866106338499,36.92594765400913,35.768535934186815,31.876531556316944,35.00125159748904,32.59784187004249,33.041580494007704,37.00021990926753,36.32589544391196,39.686637410383995,38.09706459422082,42.46606015181626,38.0807570811746,40.75128814842107,40.393767082190024,36.138547077340995,35.635472197838965,30.962657416737397,32.080593467677126,28.02438360439161,29.928915575257804,29.474456248805655,30.69557691237153,33.56266316338517,34.847524513233296,38.0544807436999,35.499801388571036,32.54068983975826,29.559454606561292,28.660960606775273,26.924490766848812,24.618849283320095,28.250136879662545,26.63427257462165,30.89417035444192,33.41419140516003,37.93984219744246,38.09721296591718,42.165814085036786,43.5645189700347,43.57594810353406,40.500191170581104,36.50440479510654,34.94006020875001,33.85343514399144,32.63255428901023,35.15496085563936,36.91379929881371,41.45890494672169,40.01327993395607,37.87737041952278,40.720457612868756,38.248444434216005,35.539437135156604,33.806385286223446,33.1521807965958,29.196350508102626,29.864111318132917,27.118344313828498,30.382067291920077,27.05975061234027,29.045963475537327,31.756464033379803,31.333167603267064,33.04514533395495,34.59922102695523,35.63651731994126,36.9743871506549,39.50756672477256,39.17850984542665,43.391171464244344,44.26495381217986,42.40911696698907,44.529408015280865,46.11596781699232,43.23107125669357,39.97361989051636,40.1909025045234,38.441369839630056,41.54151877004436,42.40121774867373,42.667608428258745,42.563811247798625,40.539250119236726,45.36583875131575,46.226689899068575,46.90797331047016,46.47827499297346,42.27836439989083,47.09222195844444,49.818351863502976,47.432517787489964,50.35640121370401,48.89897589997778,53.914058515288616,49.85208139275136,53.50958275147698,54.018397443227926,50.59536026565995,49.63542885790025,47.11961803633248,47.057908394379716,46.86065242780772,41.95422966976086,42.32750481727859,39.08588667479353,37.29256157389362,38.50344514303546,36.1730786807548,33.22356066007158,33.77572110657293,34.71955478691495,30.299923985063675,28.547735763506648,31.13356675546738,30.876444301805794,25.355229701067152,26.18782901404895,27.591363279027814,23.91390100687665,21.55375205257323,24.8611503298321,26.435835532189913,29.70797858516344,32.69820780733869,33.28645581959883,34.99932830426981,40.40095577867276,42.29681589168619,45.38067784581849,45.52850763314194,45.632614657940955,48.061793571982115,45.97405829293724,50.65206491929702,49.34544827883309,44.231495192579665,47.67292369507997,50.97380063994925,47.01585373792291,45.63351787153057,49.50679669974242,48.99541318302801,44.57454640372314,44.99599003339858,41.00486267700353,43.00330744481734,45.21553451925779,42.93759091455947,44.35074339438586,45.2858955788093,42.98122417311949,40.22562834142697,40.19386236557661,39.76148858175223,36.057200442102335,34.76477590929902,34.7879507380534,32.09413741313246,29.993285986548795,33.7942044181547,32.49182680612966,27.766887940689525,30.10277383963926,33.735897972572644,34.27206147685377,37.85233510297113,38.27392815808024,42.21484794106845,39.7628566340377,35.50791161123825,40.197898578960874,41.204799079944635,37.93208309433628,38.227795896403634,43.76783903922851,41.895347838863415,37.45439057727128,40.806091944803505,44.742746850936,40.80571061470168,39.34028849000431,34.82905785268927,38.38723193181615,34.84792430578857,32.70101982555663,28.843526021885253,28.69292833028523,24.289027723200366,25.05503726572259,28.068171546849157,31.656459690378984,32.93451306012577,33.51980647679595,30.528793983347782,33.74385274062848,30.035716029879563,27.297606796082913,30.04354327273493,30.03993618623061,28.6502709345912,26.001144069665003,24.81164231912124,24.440355287249567,22.4594675036514,19.496093736754553,20.9618090082397,20.192704891485267,21.819052434421888,23.286753766364185,23.420404125133782],[11.531597827535016,13.94878608730374,18.671793936755506,17.415827485416735,23.225217523188867,19.97242668438823,23.07914061746736,25.326989665435526,23.84081355534368,26.986631204699176,28.37673708515091,29.949515948145073,32.211512819733294,30.373873284650205,34.64071389798552,36.62515415241246,36.380291685422335,40.661435148196304,43.407296962968225,46.05816981449545,49.565328357177,53.546369548544774,53.92424827529787,53.71501769279553,50.55756581753641,46.6767134708424,44.774570403765026,40.71073857433579,40.888984928891865,39.82050722772551,41.910389682906334,41.13286755578022,43.630916013451085,47.87945312009245,46.43178063470636,45.53392981795518,44.41589433563799,45.99744702873491,46.088007759902794,51.58683675896848,50.110069823369386,49.96166838885584,54.28849301885025,54.32068010145199,56.27628341396494,54.70678563232748,58.51326192811937,58.11221315721732,53.388077842524936,56.66031525393923,59.421533725416126,59.81243047598353,60.90761289788391,55.89575793431228,59.580165177828555,63.03446776783628,59.51914383966441,58.18889060758356,63.09951408717602,63.67338190089161,59.44596981514595,59.8661960348647,57.358481301577925,59.342858871706845,57.54075590590817,53.75837413791116,50.31064493274219,46.929581157840445,44.20390781217785,41.19204267962057,40.517180467575834,42.276281242624734,44.02971652244628,48.10892612562564,47.28612880859969,53.37388725941744,52.92244652897773,55.042725246385245,54.56032438835759,56.140062955154306,53.97994152640672,53.918973767128286,51.098790535502054,52.06083144570715,49.67626355690534,47.9876771214626,50.11246952684131,49.81951842188302,49.80734243805698,51.63998939635373,49.18750718408522,51.36403999884969,47.477152464132615,44.98041130994126,40.46144721938126,39.677627421201635,35.63904204316465,38.278200969741896,35.54426089995496,35.64460718911118,39.42071664898863,37.961445264075124,41.39235314834682,39.06308654124619,42.98660525155905,38.27148463230088,40.46030115521023,39.646366819693576,35.19265087360729,35.24765522931965,30.63848154282143,32.424314177074145,28.877555334310635,30.880424671623224,31.289632297575146,32.34054147912805,35.65523890863093,36.723648537007705,40.60717325758879,38.26609504175674,35.28976285694491,32.179475663605395,30.661722395345,28.587169671178412,25.96537009564732,28.77986095495686,26.480108776371118,30.7261349867696,32.78660223357192,37.55918907558289,37.00580639047907,41.02213966785888,42.71317577812424,43.16891638382475,40.04297158336789,36.38796040569334,34.111555116300494,33.76724098908113,32.98826272771686,35.91679678930895,37.92393493378921,42.66232416505805,41.639256727755836,39.293990529343695,42.218376856132565,40.05670380124612,37.130310823253375,35.465566300962024,34.41940350932937,30.645002756643926,30.828333946756366,28.695853230503737,31.68440220453146,28.800580719785692,31.3627505060023,33.7580312190462,33.39922227670547,34.45972327069743,36.42014117315556,36.600765733025796,37.85844060484353,40.971726388140006,40.247609424410136,44.52914349354843,44.78661864118222,42.70219200063803,44.35177171358442,45.70911471301885,42.46594522201822,39.57454265110154,39.811702522963536,38.58400285397509,41.92486824022031,43.05155823542087,43.69135091769875,43.628405214917564,42.162128785218876,46.806407145879746,47.488463388383785,47.81951924389047,47.10679546367427,42.630904412947885,47.076402736121,49.66346005937462,47.45144170664081,50.90391381174588,49.86797085120465,54.67079140674552,50.40006306097289,53.78769965249584,53.9047216056555,50.54490859932766,49.07419958573139,46.32295749377537,45.98256171773521,45.35001608201473,40.39736084790341,40.48587930109976,36.90522063498825,35.53370318465004,36.165589876284955,34.24534481938367,31.45044402799105,31.209248416723643,32.05838886057971,28.00283443868155,25.7451334826009,27.916541053281616,28.019944402057764,22.471364117290953,22.655810097958145,23.9373894850358,20.780816367153175,17.90717405498533,20.55594788018634,22.2061257965368,25.395329049907254,28.237149200934844,29.24161026530651,30.87300227952976,36.29513027987322,37.99021233308947,41.286201774682525,41.87341401278715,42.23590233331095,44.966964713227846,43.297820014286266,47.833399539304175,46.10797949618893,41.25955202290989,45.016771817485356,47.949613867575536,43.86893794203377,42.87988114801354,46.87603702543343,45.87675579752473,41.44350544316312,42.58914926581831,38.40289648032737,41.05161464775868,43.05301325581843,40.62914877939579,42.46479542097494,43.33727483346199,41.54972453208912,38.456222230444915,38.08364786011115,38.204858778500196,34.6580490901076,32.69379353645737,32.82947132960401,30.418389917667184,27.810274160288156,31.208695620811728,30.135078832725515,25.42581745421932,27.02844969961161,30.55267302876852,30.924149098554768,34.7392497357683,35.50381044096075,39.161946925069266,36.260831802689836,32.20711177782139,37.05780101670071,37.57461492565062,34.1841640358911,34.890348010622276,40.16439448472461,37.843311154101436,33.64217380518114,37.33088224490244,40.83749492596006,36.66162103915343,35.51753346571261,31.005783775865304,34.1678578386118,30.480292862229664,28.106111241395798,24.676077259412445,24.90983190301463,20.890117511219906,21.41853803671906,24.702399545536284,28.14513209198244,29.864311691642417,30.516588509127438,28.33650670493405,31.905651686731368,28.84054220668437,25.692336570046557,28.941195438540454,28.70050644302861,28.23209924787229,25.215660433044558,23.234429372469588,23.554521524507727,22.40585191165069,18.29152299803687,19.208994121713506,18.67681061297018,20.369054682926645,21.736180273922876,22.045696390037904],[6.4162834437386165,9.427236058563931,14.399609868235675,14.758061796078191,20.286478769064395,17.378435673484212,21.12412782068767,23.198200073231323,22.814370549133493,26.492632690731654,28.273691181093717,29.313993289021134,31.52008294873039,30.5136331922706,34.76833636685861,36.27732557393235,36.13226131979229,40.66818953220262,43.7469581456269,45.886479239967684,49.6372787256674,53.33439869108325,54.04157100505775,53.748157269978265,50.34135077366595,46.707581185229536,44.340694173920475,40.30655061478342,40.36866498476892,38.96645170868191,41.79993588009229,40.254075780187875,42.967664960141164,47.36877199364758,45.62199911358064,44.909850326195965,43.201625047148944,45.045621369896836,44.950938860674825,50.05835526954922,48.99902499954426,49.334452894537115,53.49214113899418,53.53289110248763,55.762879044581425,54.16314119243456,57.87628472064323,57.21088823974603,52.34762135000155,55.26536938767781,58.010000994465656,58.088353622597104,59.29636302316288,54.40720654259928,57.98896982956453,61.712988238447146,58.49785320495054,57.14473879727783,62.038364112830926,62.871869267722744,58.919485951273145,59.543229933395175,57.11598289693992,59.484153188624234,57.48452484986783,53.50098488443132,50.645812739006,47.14814980815517,44.943996601419144,41.977711375854184,41.64724813604958,43.85004296621618,45.163040464392125,49.08049969656363,47.76348788684747,53.79827792268719,52.84723441166655,54.81686310397729,53.977929794482066,55.313514924322725,52.693002754565235,52.37784237797867,49.192034654542155,49.923351179793826,47.76410996352779,46.376575598899215,48.99530743453293,48.53805555997933,49.15989042472861,51.04189767850952,49.04522971344596,51.62051935815502,47.74797796807527,45.02367659770956,40.47079544581872,40.07516350758455,36.0166174035882,37.8151551015589,34.70267354117662,34.203194381414434,37.913817373033496,35.61151325417559,39.26552865835221,36.26654923748443,39.92417506819801,35.07369152656054,36.75546650940631,35.81494577428366,31.273032558984916,31.549579317359985,27.222592512415947,29.7476279073935,26.764437675025356,29.21651823416919,30.458913959290488,31.756009402428298,35.386074377806736,36.68344600036356,41.06265873986236,38.553612266675565,35.834823980834635,32.494884332756456,30.8613323370678,28.249316972149312,25.090293109913357,27.165668927785724,23.791231119899827,28.02238006762235,29.53139909239429,34.28597906053636,33.50692657034832,37.24501740155041,39.37488403721734,39.846214519982404,37.126319916077406,33.8412670392544,31.405294920999573,31.839550633179435,31.735937453107493,34.73467068011818,37.44932877916493,42.16932990993141,41.20414506370828,38.50665816595456,41.227423594857996,39.065322304272335,36.06516623308497,34.11825387595696,32.52062182172736,28.83158091099424,28.265438890290532,26.570335761426367,29.011146479900127,26.52872782970386,29.661841294743873,31.769305500625013,31.694904734591073,32.11995698210344,34.643641972381786,34.1321914985803,35.75213532636916,39.361391908936696,38.77449690169128,42.855443372000344,42.849384019081604,41.05519643687222,42.130779837778356,43.648245065600314,40.12832354891471,37.57381258101246,37.48243876501378,36.582217363481426,39.706620143637096,40.77069084454631,41.51603328932657,41.21255994923026,40.25428676073013,44.5131541508224,45.30472744920972,45.24504079271519,44.651901550176355,39.800711509461834,44.05206220191137,46.66504759675971,44.76872965526125,48.669705829644954,48.092662559113386,52.812296126717776,48.704669591034296,51.79159392911815,51.60603910086047,48.14576759579516,46.32383474563488,43.34347244667487,42.662358930598,41.698243864317654,36.77483650446872,36.413285936851416,32.63086454195748,31.225040157050472,31.351496520692507,29.45290521903744,26.97642015929473,26.430198266105286,26.899534705730314,23.025349067353492,21.047844459399517,22.70270185577319,22.574463164255086,17.260173574484913,17.329017664501492,18.32954245565967,15.244760171778978,12.521282753141698,15.10278587252144,17.019794931691777,19.856791771392484,23.242416190402242,23.93876985263326,25.35186531797442,30.794405694066768,32.43633840688411,35.7246978242498,36.23454658649829,36.68553026189575,39.44919747507165,37.93966084714782,42.485555378550444,40.709209745105724,36.063516191974294,39.908492309617245,42.82902804629377,38.855431982360905,38.04539203640499,42.162981134464644,41.18150849583701,36.80574324564922,38.301016077347754,33.811243174591276,36.50392603694226,38.23193412310015,35.544862305667245,37.45786672627522,38.15077706495033,36.67785553468667,33.53829575378948,32.82592114199177,33.177301470588915,29.841488473898504,27.523626996018542,27.6046412385692,25.36190079001399,22.55610811135167,25.719920948547838,24.76214473357779,20.112563051515288,21.417332904580157,24.91946794084381,25.249240403474925,29.100706163401878,30.009289737860723,33.5935458323076,30.60635291374234,26.70761162148374,31.645164284403755,32.09847015138433,28.764141854541503,29.74070618414678,34.91130321949136,32.660992165669334,28.69912501458281,32.521602458418876,35.93567050863264,31.981051862162452,31.09844513831208,26.612594575864637,30.027271975494195,26.552824208193506,23.700982419874414,20.52318135158883,20.23279436445887,16.345472080957553,17.685589968684788,20.87761107540663,24.40479127487604,26.034170131076802,26.12906794056288,24.37778444435473,27.862608148875704,25.366116091485214,21.607321944955263,24.73052037235064,24.108370559065012,24.27680741845972,21.353112678524322,18.63382244968662,19.25408007248397,19.063123817249448,14.300360494916713,14.432090765542716,14.095843378680007,15.825739080752834,17.131550001133157,17.60841880494753],[9.44780456658697,11.57457047111493,16.328020093368526,15.985496019935152,21.857112853250293,20.140461221417432,23.8205603489071,26.511601630092787,26.043279877881115,29.271911051688257,31.2912001657807,32.79431466528449,34.46572648170938,33.09868504173166,37.661284299235945,39.246683019498704,38.60539645984984,43.079217020235845,45.70781839756023,48.04341204467572,51.58838462622339,55.32021202830042,55.74914995455519,55.22322812486043,51.9269458968359,48.31582269286319,46.153144337042015,42.279301297617465,42.79192594468431,41.80000408531048,44.76407592256674,43.53904542656537,46.45436176277118,50.69093138367681,48.78425664358406,47.72923647135443,46.16636624772325,47.46166882532522,47.12855744943134,52.22177235355512,50.761830100346394,51.32295944589989,55.54194339474027,55.2583594547978,57.205340522897856,55.33601592214795,59.00472424146475,58.71342653944464,53.77836242472888,56.61033729771957,59.688675373271465,59.89414513335144,61.33495272975743,56.44530562490445,60.40702619401661,63.902483818764566,60.548539704082565,59.56351611913097,64.48016751493023,64.96493135481136,61.10564915138148,61.97798943800841,59.73776889272104,61.8038902648992,59.64697326269179,55.84408851019971,52.81784250726393,49.555369060610246,47.0318798952715,44.333143360199536,43.699438497400635,45.82699718352794,47.51398813061918,51.30156789776902,50.37216080458792,56.520593271892935,55.5370075128119,57.798337106335886,56.88010191537753,58.06381874192384,55.584958505786275,55.0145817326488,52.10212485568543,52.538870530446296,50.12985022449788,49.002524578511796,51.55710842327695,51.513753256974645,51.90912302135189,54.180444004236094,52.02675780912026,54.63763087544169,50.84847682134422,48.33000259161662,43.6943938231106,43.37191500912297,39.204456985424954,41.349194563999184,38.344245734006954,38.24696858663028,41.587824387302256,39.37660267587284,42.68195503273936,39.617383880561455,42.89460034802503,37.892321242056724,39.54612798516346,38.1734093358276,33.613884473602425,34.35557198467609,29.913235132392572,32.28816197317967,29.42730756792746,31.366021195109198,32.689535609724885,33.476244850290655,37.18938321486039,37.97129465590514,42.53354308796354,40.49267185683437,37.551397417307626,34.387868247698215,32.22637513076767,29.87077195904675,27.05787125099862,28.839235453763205,25.987873319856238,30.002680301539293,31.515148784366772,36.45291919789871,35.058859329615764,38.973748962622324,40.89259692665212,41.896983946789234,38.69365759458901,35.4986283458776,32.44740189637882,32.925080841932996,32.64955489976264,35.951527384842734,38.17267041295189,43.02274799974906,42.499429525778694,39.978220801640255,42.94742613775885,41.20934216982437,38.10118925316932,36.61524672985103,35.221398627482344,31.816872780120754,31.59056973694745,30.30078841122961,33.056686029528514,30.91392868382614,33.85899616972999,35.738016209067595,35.30934937477706,35.63648893695804,37.87758934518467,37.08905207930905,38.100014154505246,41.77246186463755,40.55404384744545,44.85228200938798,44.38572410267852,42.05082593460706,43.15576157245829,44.21145734407746,40.633578871900625,38.21028749180706,38.48724289520254,37.87889684233481,41.4553356106416,42.89879442071549,43.98249455528163,44.04423796771825,43.22203584505448,47.6467487155766,48.02270564473646,47.987747297904754,46.87894022017595,42.231311795416936,46.15350764189817,48.51182943041599,46.49486033674585,50.468706439064626,49.90327000242974,54.391254333891915,49.906813255882874,52.961746327666994,52.63885637343119,49.4137929934988,47.399564159599365,44.44229821391333,43.8232865483248,42.73248104967549,37.81474209086857,37.646643656386104,33.77449788851442,32.99031305386129,33.03839836406409,31.729185063311526,29.090434203252425,27.908226368917212,28.796762992346977,25.309290402064796,22.31484299143566,24.072842846349232,24.88078873338206,19.371405638660605,18.683773856589045,20.01579097537693,17.783321337283244,14.155451887991566,15.86340330865806,17.30472468131591,20.665753581604474,22.85681728976823,24.407632402367806,26.111178024312647,31.446783232608333,33.070955717339416,36.45483054696923,37.58424616323223,38.11536158825545,41.14427078925927,39.90747575958331,44.17606261501587,41.988821907223766,37.3962828307161,41.45168526130165,43.904649637620594,39.67520113719072,39.099805102061495,43.14281030070164,41.58893358102223,37.18438439625716,39.06724843976699,34.808216393415975,38.211658052738805,40.013356409432895,37.58852652786841,39.94323527983511,40.895369372694375,39.65631729089407,36.13870497442695,35.588071899017535,36.41008051037053,32.988304391855046,30.329867083769045,30.82624169849338,28.862254537523263,25.629179011454717,28.58276798134142,28.01119031507478,23.50319771845919,24.031908063918415,27.407795863703154,27.35708424081269,31.319241167360882,32.31259570672007,35.56475818638353,32.255503255097764,28.335001237231985,33.20783385061306,33.17134178739702,29.657837985789257,30.673874136485203,35.60638032381691,32.80879402496133,28.820052745285388,32.784069807430924,35.81260576106193,31.38296287903598,30.532008976062947,26.08438667710565,28.762099522592063,24.950061209223286,22.44171809314246,19.471212010289868,20.247893590579526,16.87639126098933,16.930259445078082,20.412516463184073,23.561967926058042,25.760449759561745,26.562964814783584,25.38679854322575,29.295266583237627,27.05025868663322,23.693610918889807,27.537922462358495,27.202480191507412,27.791686944974327,24.340791650177124,21.728944338676552,23.03054940436895,22.63064939665798,17.54141979817159,18.047683878580223,18.16965553582588,19.903513352679322,20.99148800641518,21.476171066022225],[9.767237445651844,12.11665680865901,16.698446043046104,17.77950740210236,23.222307180696355,21.898320229818843,25.89999624790165,28.335768073695657,28.51155929749343,32.054262400217134,34.17561136549301,35.29241406364949,37.071789187653536,36.16980951438465,40.63456635886501,41.98132998612526,41.4814234719088,46.06298414241341,48.8837489772651,50.940410364018135,54.6103223010211,58.17572666031282,58.78725342690101,58.211616675349276,54.79485668862653,51.335154580156015,48.92708492054657,45.08928063452809,45.50702334290172,44.28667417981367,47.58371217620517,45.90404230494022,48.84943160827781,53.19887164414697,51.190798665218594,50.310589786496635,48.39808509676003,49.90703252822105,49.472786150690794,54.282133195834014,53.09869516205182,53.95865843212196,58.05823122294712,57.777164262530235,59.87046821402464,57.96460768954039,61.55392579052675,61.13272309322785,56.11819856316883,58.69139085861458,61.7737788443359,61.76559196931557,63.29312958294001,58.50938755678728,62.38154414723016,66.04916478439193,62.90354217720284,61.89744039663535,66.78502889758994,67.44277565286757,63.757205423546374,64.72332959827372,62.50900393303739,64.80329807879511,62.564597099326576,58.65232065736073,55.95074150170509,52.61565687874751,50.37371578068062,47.66286040723603,47.2120852907628,49.504245958947976,50.969774744108335,54.710832027781784,53.51213425180116,59.599566207756276,58.39420784668037,60.51572421834881,59.433256568301886,60.50102717195291,57.73659543410404,57.03457242670404,53.86346843870187,54.15733984534658,51.93368775329354,51.00883835367789,53.86984340944375,53.67399208481461,54.47088235097904,56.68345232927866,54.80186343139953,57.574868187527,53.77527162204249,51.10066096452471,46.49633799848575,46.29693156423238,42.179209091491984,43.845203343409615,40.64162081928641,40.051869641068855,43.49652899885946,40.73595611587378,44.264600277490935,40.75555358473544,43.83106848736219,38.783477155346475,39.94916576030183,38.457630844145186,33.87515902737719,34.840113737158546,30.7466099493078,33.69929788931696,31.292155152895504,33.518634273969994,35.3286557263808,36.25670949086592,40.10962878931353,41.00186547580712,45.795394604022945,43.66817573957819,40.87344872519776,37.61457967032182,35.4284238755872,32.824055041288695,29.752697793694278,31.04887030704341,27.509137942388644,31.412165746033814,32.424368229139965,37.285894783112774,35.613809793080634,39.22792799174662,41.52560441388443,42.60966324140854,39.747157205640825,36.91527497150473,33.67045666160978,34.77923962672587,34.963054465911824,38.31191608643506,40.89980379243622,45.71694301140989,45.276043778722226,42.57402428853312,45.407387071307404,43.68382198482726,40.55769303527156,38.8946391073764,37.146617663915286,33.80959685915748,33.024382793993674,31.948089993440213,34.15998654059357,32.10387079620163,35.47948555411384,37.29610237241295,37.1821724954817,37.125163261686104,39.779038216034714,38.565780253532196,39.86421819500496,43.8426513259645,42.722246950622974,46.85773783603885,46.17210266812849,43.998197051153156,44.65610149191912,45.73120819769167,41.94078040983019,39.85397467515786,39.9412953670075,39.64846273000304,43.076413280805035,44.48363970704743,45.63902428305333,45.501504739019616,45.03436791387986,49.12900512520506,49.6299283661078,49.29665112124797,48.29868938861104,43.39306892344463,47.099863681050984,49.43752164356629,47.695057555404134,52.01049314726521,51.793446752823385,56.172896376199404,51.794510769600834,54.59276909303145,54.00509337206829,50.76090690810538,48.4241522988292,45.29039777197939,44.368854843923465,42.91973272480736,38.08558242380458,37.47744340586898,33.38751484271252,32.743238376631005,32.10865545790999,30.971104394943005,28.78109997580692,27.056217387036543,27.453310914553345,24.427208380612825,21.64271592168917,22.527969043472275,23.143246148212093,18.264167893105707,17.02987034326913,17.69585202723662,16.072959842687016,12.70203403109004,13.192137207965592,15.094210061220172,17.54691932009042,20.306963775486118,22.00205288204319,23.22123213310153,28.523800212750313,29.678393297834173,33.35803020397894,34.74342195944463,35.63970454894907,38.85499508104529,38.05607288427443,42.241544004189734,39.80507147403821,35.67992189834827,39.9251293196984,42.15576953279539,38.025400151389285,37.85142353429519,42.00900741888552,40.221526139833784,35.92413119759963,38.46676514707026,33.935253337844195,37.57680444965506,39.007380827431554,36.266655768692345,38.761729852859546,39.38190406475358,38.65732902656427,35.14797115176218,34.0233590310124,35.14618212602367,32.15898045260538,29.03101369977893,29.28107616794689,27.577048439444475,24.2459033209337,26.528870408848427,25.957756755795696,21.716051366326017,21.655576331068236,24.687142169209928,24.73416106318323,28.83454845928996,30.294787047021572,33.25872554012559,29.568743340559468,26.196505756916757,31.19081059526127,30.733256732554434,27.269447534894944,28.919229321308052,33.44597006144633,30.36490642455528,26.932848409065127,31.216903030786977,33.749719552192126,29.347947081185424,29.036190551182152,24.725553294835994,27.103047807408803,23.35624686223536,20.254597104855247,18.181132537208025,18.935053174844533,16.269862129699373,16.694927183437144,20.119626825052478,23.038772073859896,25.43657932681129,25.850550814123807,25.495123189031396,29.345721126528712,27.80130775608011,23.977574480790246,27.631692783054245,26.829001019591068,28.069571134203375,24.88541417273532,21.54138504506667,22.988598650720142,23.62659495805294,18.24503296936701,17.71855261858222,17.660555563258306,19.063761356097245,19.926911096970446,20.417516982702438],[9.109828531218383,10.205642038124296,14.20762216250273,14.900713072533355,20.262259134773227,20.018950932719,23.967355379617036,26.891013061794315,27.333899780992663,30.547196477738204,33.04121478188512,34.41362608778719,35.546056321151745,34.68051664360512,39.372302401372885,40.553935587769146,39.62408271572603,44.20794619845316,46.77098058174916,48.740585515467366,52.31932332652368,55.76783390599813,56.29852550147564,55.53196108042846,52.1115125755468,48.79356739476093,46.37096833798349,42.705349619537095,43.44444856510553,42.48689202363818,46.197117791837925,44.549694458380245,47.79699532521529,51.979454132711325,49.68028206071348,48.526576127455066,46.55983952949124,47.63758066014495,46.9505795571402,51.60352023453248,50.24608260351369,51.423384280038384,55.48334920922682,54.96668299863935,56.946493221298695,54.87228382223166,58.38667778625963,58.11722066821202,53.04410160227494,55.454307593093446,58.73354088830844,58.74361001722521,60.45361397438992,55.72227492911687,59.84909286215734,63.38690391375444,60.23311803835352,59.52179119025826,64.39980023820529,64.85253864945739,61.35454231718079,62.60527521681498,60.6078827515532,62.785144434541586,60.33628373921213,56.51660165165661,53.95086826997078,50.793267361561796,48.55103949846641,46.13124714670837,45.60505422388469,48.07481398478576,49.60045139560621,53.09475285257891,52.00299411882469,58.13561100045541,56.65697071350377,58.99427882970631,57.682628902808254,58.502477166928315,55.73646913236114,54.72968246961709,51.74134139939829,51.72127759315087,49.34337844016034,48.71481231393841,51.64145615957051,51.784801824436286,52.57703837653205,55.19113917350535,53.35600687503397,56.35095984076033,52.68115801488674,50.150501443115495,45.46978775740196,45.57856409208417,41.35948058739185,42.9936441366069,39.79373702583537,39.53936733209808,42.406031174053616,39.57492991286443,42.69443596836261,39.03793444068299,41.680101610782934,36.52523971824396,37.67842665118698,35.8437996214096,31.29396095237148,32.62418878584456,28.46118594505533,31.297248972023976,29.14771818278794,31.01668169308448,33.129664496482675,33.73788399783531,37.71497803590611,38.32380284038911,43.398965646879276,41.57197616618845,38.766159834286256,35.585404082199,32.99846242863519,30.40062217122188,27.454840969290718,28.253503797739096,24.931692880906173,28.594620612506,29.545677277617948,34.49368136972364,32.41550085914286,36.14752278797854,38.26130529565641,39.69335159073553,36.52836647429076,33.81839911040256,30.20768210533282,31.457853829563657,31.713092493708324,35.21597091679172,37.71008389457894,42.541852097863455,42.39667418386271,39.71628914738262,42.623194346434516,41.237097222458814,38.03967428120504,36.68586050779395,34.98761035275693,31.994201768105064,31.402337132726245,30.906017875041762,33.408800939366884,32.04037522095143,35.18006886770615,36.53037376914502,36.030315825424736,35.69934630894467,38.138246730952396,36.508672476152,37.31998264041438,41.425562151086524,39.86592333506294,44.06958289470728,43.01099089933159,40.58624161540608,41.151090741403934,42.006364389232004,38.17393821764032,36.213379745916036,36.443641510574864,36.37965514477425,40.030501176601376,41.68954831718976,43.12343574367118,43.26758113015179,43.03283793323078,47.18175829605686,47.30063085549606,46.93460706152044,45.5272884237977,40.777734243753756,44.19461115342583,46.34253504977758,44.543926784036834,48.93637005101193,48.8118632413581,52.99552266643069,48.43978704464634,51.15241476423154,50.45342455917892,47.339803745953546,44.87992398411926,41.76452554351719,40.88839460515428,39.41485634133546,34.59566671597639,34.17712834855223,30.11821280641657,29.843107904314536,29.400108773097763,28.665766020476827,26.21108272231776,24.229718396651162,25.185616791767586,22.310206401809136,18.702763188250664,20.07335981489631,21.628834503335394,16.328374690602725,14.82984134326494,16.33569720222696,15.177399279977848,10.95615059747077,11.683885109294597,12.624939738027104,16.36138547449822,17.66225505387217,19.612397699709145,21.50083704275109,26.67677282911268,28.444843418638044,31.718454251684562,33.217359420905396,33.77280660880352,36.985658566617005,36.053171064824575,40.048197712463185,37.53036351498734,33.124442013359584,37.36448922854407,39.42305578648832,35.10283545362286,34.83723480885959,38.87791682786857,36.928569396267804,32.58058531476282,35.0252674933118,30.744066288107298,34.71845198499726,36.342836427028864,33.99026084254011,36.76283138102441,37.85081477776957,37.046778630236005,33.18987786034617,32.60803457641195,34.0374486138866,30.724725551269348,27.561390977468584,28.49475444223392,27.002461246896598,23.275937928065215,25.84912453041009,25.87283729148134,21.729555973712678,21.231173670100038,24.44447016474213,23.864320101323408,27.802053743759537,28.8406885470867,31.707940310232583,28.188051513689327,24.309096497383035,29.066493604848084,28.623532853819416,25.04042499982365,26.197683796114337,30.839984774085973,27.74338937667987,23.888018622690243,28.005200945090735,30.69651723431972,26.143795762374737,25.498209800385073,21.133712503448958,23.531073034391447,19.712341685084727,17.06411309387744,14.43076131474093,15.583424527537437,12.987982525837676,12.68740344602943,16.18277892135896,19.027485289458195,21.537129678423362,22.364100980657092,22.123683366594918,26.19273075147023,24.77422551656049,21.34918867898425,25.585158993793932,25.236854766919222,26.740363622595805,23.008710834006337,20.03638558456011,22.224925994351377,22.40557338634398,16.862673752947295,17.0922721219324,17.987903672281387,19.67098474434615,20.429445619604518,21.086658748955642],[5.250244106500388,6.3972322296240005,10.895302667853258,11.609148170859706,17.058538066997944,16.077616727203974,20.072291467289794,22.83354453352873,23.284713621540725,26.652270385180323,29.09863881546542,30.33566157400295,31.603495046255688,30.89132819048866,35.48101193147282,36.61874738195064,35.87919699977902,40.50342885628068,43.2913676024666,45.17346533691277,48.86175312451836,52.315187180642056,52.98817850067276,52.36507508006393,48.880137437441405,45.52374746586533,42.99906923320391,39.22464983839683,39.74131185718882,38.612373526718464,42.27638971272188,40.52247050650344,43.72034324396517,47.948067338053676,45.70099595345239,44.66727574367682,42.66917776828819,43.98095608576885,43.43703307807961,48.173875619364665,46.990312456490834,47.98575544096788,52.04254779300929,51.71789567244959,53.855537548587094,51.96069339464842,55.52925683341205,55.03861052797697,50.017930885682276,52.55158423512601,55.622116039135754,55.60426639654772,57.15205194379937,52.38024452776182,56.320530705518124,59.95645951112142,56.83345606983007,55.91555764856366,60.79620431885735,61.41429233767369,57.82896994370439,58.93872977770023,56.84503645350444,59.1582822224568,56.790990893024606,52.87853988649537,50.37945711040766,47.10423356254795,45.01891407007586,42.481165059161086,42.108230803526546,44.65166975901904,45.978840981889974,49.51620467712637,48.236884205843694,54.328507438428424,52.854324334980106,55.07992296214752,53.80676192806935,54.70897307877958,51.91382313035522,51.057028122763896,47.97919606412738,48.146588742599775,45.85048919349332,45.03131515695047,47.943257403386,47.91369362123348,48.75827541295531,51.222794102418035,49.4362487845417,52.43232343614236,48.738134060555666,46.14039900656226,41.47793788484536,41.60597018924185,37.4106625673913,38.91065973311901,35.68055151267034,35.39259894102908,38.301474408180354,35.52810180922416,38.722471867665035,35.18569802051534,38.077930235502734,32.98172346698176,34.337069929636286,32.7814119667439,28.207455473714276,29.200797286991552,24.92541044416057,27.69387170133738,25.355590912537544,27.454463192503272,29.478794593220634,30.354298644542432,34.29635866205563,35.20437229679807,40.178245030714415,38.08907339014157,35.39405645224654,32.106743700739536,29.793878805056956,27.03633153241657,23.89006820688393,24.927893527394843,21.409240349513027,25.280960039025995,26.407620395646358,31.323599801803283,29.733137750142966,33.5053101575917,35.6251579695277,36.68398575294776,33.68516560301054,30.768389513444372,27.611502914523747,28.64396772992155,28.907531216843598,32.2236111750548,35.00436265694356,39.78067551769864,39.32414229446649,36.54508515065986,39.33810613249936,37.696057688581064,34.54362327519898,32.96412405386004,31.214356459415217,28.064689237791157,27.441447274640712,26.791186551184296,29.346604916245788,27.977570124881158,31.047027063861968,32.403065840446715,31.929856800957975,31.68497222258883,34.157998620655185,32.72532183393298,33.781933130016036,37.81067745444149,36.586516963542806,40.718907805530534,40.00354624325892,37.88800916480719,38.571247809024335,39.76718657184561,36.02731488483868,33.83781794244518,33.858659923638605,33.490505263151,36.91102632848847,38.35516252395421,39.58292280434843,39.58748652224527,39.20150615790931,43.366772229308935,43.6578857771294,43.36121089660778,42.20440066138921,37.38776208621738,41.09618940492333,43.426317376215046,41.600362461811486,45.859502960944724,45.627330071736026,50.00805786051386,45.653913588876506,48.48105893326789,47.96318210629407,44.67419343684361,42.451682384881806,39.367093790853346,38.55945513177794,37.32068026806216,32.42425132801739,32.057722759847685,28.13163567394354,27.33800954845908,27.288907217976448,26.068747413485823,23.45651671024721,22.159355247685703,23.114001967796217,19.6839816188972,16.580107901566087,18.421638629437716,19.502290342146495,13.805919637738953,13.151107830718804,14.93296771644836,12.82494576236804,8.800945227659449,11.194410662878973,12.22292824796274,16.2124635857571,18.164682790081194,19.246210773633077,21.244508235335218,26.547336095703315,28.676591540633048,31.660641603492973,32.53610120255767,32.791163806697014,35.7151827999674,34.32760541451903,38.574901433219694,36.48603139429239,31.73896448167224,35.74348489104663,38.276708172484845,34.076440546927564,33.405312765645945,37.46391235521212,36.07938473382778,31.67490039719014,33.47811540620948,29.123452356363522,32.49112385750408,34.26761251802408,31.895472524405637,34.33736024247691,35.47367630227513,34.25538718002183,30.569927912576738,30.224503620130008,31.26027403165822,27.719784876334803,24.95665173800535,25.86731283140399,24.10759531644476,20.56409303814225,23.702614592986656,23.599086626522784,19.219418668768466,19.41660326704353,22.97632601735121,22.501141926590606,26.294919093768357,26.969379307933536,30.245167730510094,27.17543938098658,22.908556824074232,27.672029697194557,27.85140493114439,24.352339470433947,25.086245457220976,30.193728652531668,27.713252730260116,23.516937553485715,27.34440916962269,30.670707273569178,26.518073505036455,25.521804417924766,21.024374125418177,24.320187019953888,20.81951969214263,18.206310822041424,14.78790905833797,14.869743213337742,11.259276680608306,12.037637306897233,15.338264112343808,18.728402325670636,20.607256815471207,21.020932573443396,19.881241524804775,23.732062432938395,21.814040979029713,18.24389085475854,22.23517408706164,21.959967465013026,23.033108967931547,19.351974315934495,16.589166572578186,18.543562835406142,18.404702255208104,12.936211215432076,13.54539219528549,14.624137737584226,16.58309290819347,17.54036162600922,18.284769477037173],[7.612445581233473,8.334037760551528,12.56021794883308,11.604221851422235,17.501450432471707,16.59913193537623,20.242311334279748,23.38176411272765,23.23519917046513,26.198848785712357,28.61589146772934,30.301824624345738,31.348929168149606,30.126699143209333,34.88890647645257,36.25655129886551,35.25498646234315,39.76931058314627,42.25355881946499,44.43468283266774,47.95436178213348,51.55488348428973,51.98700081934292,51.322095563514345,47.974594984440024,44.49903903503144,42.24577285059986,38.495382240034495,39.23760241800619,38.423763556389986,41.838221727583026,40.55362141929284,43.76829460865413,47.86212174864083,45.66302145310249,44.39185671345255,42.7249721496445,43.697122354202484,43.157692038237045,48.11154293039872,46.572574285454564,47.40526043423156,51.57713346596597,51.13900764546968,53.05980614247628,51.094724281242144,54.70976308664736,54.457476542765505,49.47240886369615,52.178300752053794,55.36420874479055,55.556746458799594,57.11736279382313,52.26864353417361,56.39973057881281,59.82579453821372,56.494175545105705,55.71470178673559,60.62428288883723,60.99244619596421,57.29938452199834,58.41185483467645,56.35349480549551,58.38774885975029,56.03849360676734,52.27256699405096,49.44972900510608,46.306719738244865,43.88170497620913,41.43197913081712,40.80895865225512,43.18703676436937,44.820428958896926,48.36499023974487,47.42909193374827,53.60480615470531,52.31120194343116,54.7331057228623,53.57526560065579,54.52821926381906,52.00538820514366,51.17699175532836,48.387774614426135,48.57681291859556,46.059944751563,45.16572316173626,47.80968142437171,48.0254422394003,48.477963190189676,51.09614533709072,49.04057997709042,51.90535481399259,48.23841923279669,45.82291048063704,41.11626379371387,41.145290470993395,36.884129958473764,38.882973344592855,35.84940180163035,36.04471489201956,38.803241419818555,36.50093123449935,39.429515022266095,36.23894579341739,39.16660787494038,34.087938005093704,35.791545728655876,34.198341406551855,29.67691197674485,30.64004364439482,26.10290309491606,28.336528354314463,25.672806390399348,27.34911804196354,28.981642585090174,29.560462975155257,33.41512188810056,34.047293085477946,38.89880100067501,37.04002531132276,34.14176192616286,30.991506012248202,28.510634542834886,26.056271917659625,23.25794906491554,24.61162778604205,21.89047098347128,25.750332763012786,27.27247804673026,32.273743880252006,30.68544172589684,34.71734914969234,36.464831279153586,37.651253611998904,34.23520377832474,31.079815270207927,27.856890617778287,28.388583357810546,28.203071483191536,31.596600029644474,33.88434661884933,38.74063285661472,38.38284952126147,35.817149433682786,38.80957204816733,37.30314513230603,34.1317580108702,32.85396897240345,31.468130698966768,28.35630680506164,28.292468471702524,27.55781022375259,30.5950588844647,29.182093041001544,31.879355721980346,33.260754809546654,32.464052246609,32.51566446111543,34.57364308224158,33.41373436710444,34.0462246584385,37.83709740369306,36.31921711505358,40.65303697935257,39.946652987921944,37.50332899637789,38.54658299276487,39.53977313731339,35.95025705438345,33.55785897389273,33.87691417732192,33.37302029394131,37.071017361633274,38.67339191936294,39.95424193690293,40.22937487680472,39.602921542333554,44.06622731667708,44.13724496765181,44.07807537311694,42.67294565404369,38.140423949464896,41.88595151594251,44.132710015481024,42.063724222919106,46.07600163572131,45.57954606869996,49.95480235675249,45.38614063810736,48.391713326815974,48.02128056040617,44.84521574863691,42.797841056945295,39.86600624339353,39.31181281885238,38.29223019301905,33.36826115650486,33.399406064693274,29.633748665625184,28.98763376026053,29.381172233587698,28.264758732057782,25.330305018112522,24.20835089112979,25.6117803801528,22.08438848519507,18.565484687713308,20.963811510528515,22.42288390743345,16.485846709439073,15.936572714035549,18.076098654604955,15.955371557361508,11.816225983480601,14.286779958085827,14.903281836107215,19.329687586780544,20.506415896138726,21.883913075286568,24.179546668088587,29.38678728500124,31.670328381555077,34.5587307816368,35.53268843115322,35.637294060500984,38.530278729890014,37.00331057474337,41.17224456884549,39.094052588466305,34.14177381594177,38.070979563294976,40.54503981267199,36.21907947763054,35.39592997893705,39.3178166841682,37.860727434606204,33.41417813617586,34.92267606774597,30.890131876107596,34.33061176056933,36.364326636371494,34.30464498616159,36.77380290591627,38.17194436433995,36.71573068769898,32.957762229733476,33.00395987793813,33.96507136489869,30.1794113543936,27.658824329180778,28.777637168796197,26.938631923515015,23.438422254305266,26.823565249180245,26.75832516887259,22.313387994271473,22.675611295964522,26.291922409730905,25.724231667016703,29.44437791142449,29.911888595222287,33.20272247920856,30.247799248056747,25.772061669043307,30.37658518249014,30.602830001839607,27.058175075400726,27.445200044604167,32.62446895557465,30.09760851811052,25.636622653510972,29.27698885315139,32.692774762209574,28.34820593150473,27.051959392710238,22.55417771636323,25.616385047800616,21.943315457759677,19.907239110564625,16.147691351326312,16.79904855466695,13.110308979055219,12.889632402653382,16.27863151164395,19.56815968548116,21.54909306497172,22.56492602552175,21.087835578623707,25.088517461619467,22.74845853537933,19.766654883809352,24.053625783862923,24.194618238159826,24.872433383334542,20.921135822762285,18.806962834227296,20.72398543265603,19.751611761949032,14.594688134933403,16.01166040271038,17.109551005996423,19.163036435185393,20.204929394769845,20.86277017894687],[6.820148955825095,7.938167313050277,12.30496578119795,10.782212415610905,16.6860853934885,14.334139192911062,17.76378169551761,20.598585539862032,19.93018037279513,23.031100781367837,25.151301941230248,26.791512198593715,28.239912571762847,26.890241663789446,31.500161687981922,33.034280369009515,32.34791173783813,36.83895188152055,39.55081299099679,41.82631339675436,45.42121998016475,49.14843943884644,49.65719923064103,49.22259815435059,45.8858248981247,42.250131791231226,40.03516364620045,36.10381291030558,36.54025289618868,35.56049447068311,38.56572890619733,37.39218495606258,40.39832027953864,44.55911012127719,42.59347442951136,41.47843925596989,39.976741528440584,41.25501638191959,41.003601273569345,46.20663277666529,44.7780902601177,45.176828989114746,49.405859520446526,49.23499644210601,51.26860559279002,49.54611272869154,53.26242266310665,52.81908243231762,47.949090331608076,50.92826185622418,53.8434405565596,54.094977869010336,55.4016727660254,50.46855574516481,54.354319572106284,57.84087142521514,54.457826059210184,53.38422305539082,58.30386962131024,58.82784784372258,54.90887739937678,55.73031967307352,53.48048609752451,55.58193831475802,53.437037893246114,49.603181770238834,46.62829559754586,43.33470775468344,40.914363509773295,38.22225574632672,37.68397238925175,39.965139874258355,41.50076324236097,45.22749911546865,44.20183084230369,50.34985240509613,49.29129735084924,51.578312945595556,50.635276146057365,51.82399835496127,49.40665010891742,48.90487022942322,46.078032821869556,46.62921008596807,44.18160735347971,42.90500957895283,45.36114660619616,45.33779649559624,45.65588499540541,47.9790295505163,45.81933386714151,48.50451892831159,44.75584614384907,42.28317831219137,37.6114934913113,37.443809464365174,33.223261790322525,35.36035802436326,32.39676789421596,32.637224422182626,35.66635516009438,33.71885291722076,36.7929813490796,34.00057236966689,37.40879248655473,32.49710190112789,34.558938072542034,33.41394864110496,28.940636761726786,29.35187376879669,24.679513205457575,26.598854853837224,23.447861641146844,25.338849802652344,26.471830688221452,27.374500111801865,31.047221200044305,32.02370868320864,36.523260859808744,34.33231876342128,31.468782169743786,28.235697091677945,26.227707393015113,23.77118057813133,20.88608681236065,22.96370826418302,20.372166656723362,24.505244022138253,26.402119757029755,31.285322816656084,30.40900978850906,34.47404341684409,36.13895053211499,36.83103479853285,33.58621331248044,30.094877129487124,27.543686630183192,27.546401243532994,27.122833398421943,30.222410821817267,32.60467441899751,37.3868159327706,36.594219185536,34.03335092018351,36.93927556917639,35.05399572646191,31.981387451257536,30.449072557864678,29.17835870233908,25.744328954045205,25.843535835682285,24.56783886940414,27.758679655295644,25.958109485299854,28.479765635268073,30.130778124326135,29.398673546576333,29.856292014781626,31.837105868052156,31.263173854012642,32.202066354535624,35.69722587184923,34.637102594535385,38.924048775304016,38.771842977891154,36.646458862035715,38.003379112029165,39.3443318523188,35.96794646340404,33.23342838053055,33.39702441923488,32.41461918240611,35.84887288800023,37.15998100250366,38.09847912257544,38.210411784765355,37.1881788973519,41.76762267654151,42.10655294424255,42.24783950544261,41.19944095948169,36.68450872187587,40.85577268139056,43.32218227074012,41.163721940179414,44.866400098547786,44.09903544476693,48.7449172749791,44.40105955417355,47.620712679105864,47.54721116720105,44.205005568936066,42.53966970990653,39.71921387892231,39.31832091388618,38.63041435335621,33.675814178653056,33.822323842769464,30.280290323428368,29.054121124587233,29.88869619513607,28.202917077532106,25.170703348571244,24.89050841753717,26.179618293664145,22.134534940418444,19.404083297537035,22.095397189492463,22.84819765554936,16.87555450892817,17.194170990060787,19.241219420569607,16.243476439230985,12.854667589043544,16.261723070706765,17.168278042788966,21.31595585741249,23.260597964889833,23.992752751161888,26.169219456548195,31.446965337589642,33.814142997826266,36.5864134385143,37.02897172731499,36.96550808633456,39.57867263172228,37.67084605368253,42.0823759560909,40.42740648643714,35.26933336795274,38.932729290641916,41.855662652845844,37.70123566317473,36.52209293628874,40.42402001539357,39.514250336665306,35.06813281070305,35.946109216219405,31.904943305481073,34.63169356987547,36.793712792921646,34.68693931987251,36.712742058587295,38.04004377364088,36.14472964796124,32.720586067088654,32.90382203660704,33.313896628528234,29.401869260772752,27.42798308684217,28.287849749797356,26.09550785187138,23.047359852620275,26.855220733516052,26.43817731333977,21.803690519363414,23.03990357064536,26.827960191018814,26.575973144283417,30.155145166740102,30.397708674290243,34.052021987008175,31.480983827739625,26.87862771032052,31.46430070013912,32.21585734265551,28.810236276224735,28.941927592900253,34.420292537709834,32.39568440473529,27.804456242803468,31.185272318043292,35.04115634477056,31.040204442565262,29.537080833036118,25.018947530193227,28.6338634577797,25.19727312299201,23.143405185763722,19.07710871448646,18.964006439697904,14.666458733971947,15.291421186525316,18.355707865887524,21.945818400739455,23.365710066628463,24.025752382830834,21.639962635588738,25.278961294909884,22.272294876438025,19.303252141032427,23.05604297723942,23.23940023713007,23.120211491120077,19.46773332655237,17.78991606152469,18.987234074389754,17.43976563778486,12.853621781830364,14.688915633797638,15.456920884105461,17.610897754459728,18.9159844698261,19.52021362243272],[11.552223302535321,13.008695009340418,17.262270759690253,14.894694869072854,20.797754422314615,18.131857678310727,20.98007420427316,23.778519976616685,22.16058859824026,24.83287104461376,26.513477838443738,28.54217966406291,30.170611762893884,28.084783334195947,32.643522008186935,34.6192200523614,33.914363455537135,38.157197927138974,40.58128154484654,43.323743771333724,46.697225273431556,50.67917720512194,50.894057372784154,50.539967731761934,47.439323441666986,43.58208760328048,41.796808924706326,37.844621994293504,38.35258280641733,37.63023083857105,39.913276996707694,39.394122206944516,42.14556673867007,46.199771553895424,44.54606424030531,43.32288302069723,42.33297554151359,43.443150889549784,43.373824587562645,48.895502004240086,47.12893172326528,47.0920562698176,51.45812260566852,51.29050290996124,53.07891774903884,51.38364519927852,55.17400309538607,54.9660487200234,50.22845086265794,53.50088828142471,56.42564895682305,56.933642250955224,58.1383594284898,53.11622695151436,57.05498184029076,60.32304330062907,56.69661129634985,55.621644023705585,60.545277722436694,60.86534061731841,56.70290665724201,57.319813340311995,54.97986427722625,56.75348853753142,54.807107881904564,51.14992292586228,47.638941774583074,44.439512423062865,41.5460182350749,38.78525332596755,37.93235301961329,39.77054793003557,41.7157509159633,45.61802423084148,45.0324043590296,51.20985154737049,50.63223580380069,53.01346989912338,52.41224966413468,53.83966777676951,51.811802943187715,51.55866080338258,49.00980071447905,49.78081368750317,47.182458364064814,45.637987835167785,47.6685202604491,47.73545783407212,47.52227819806359,49.73381792660471,47.18270510208356,49.47730113345132,45.70108286491445,43.40482516246685,38.79155721537097,38.22151447887482,34.05402917816356,36.91455160589577,34.277556875093225,34.905106452616465,38.1283646919573,36.85865661108114,39.84496718755211,37.60093334234207,41.26110132164217,36.49527145101073,38.88489489367004,37.871362368204515,33.48161875941351,33.70319706713644,28.90734279498904,30.30027451637959,26.720988121990093,28.266934185909673,28.639282256922208,29.33702316486447,32.69032821663912,33.45384604977808,37.465486169346164,35.42548127600968,32.32694557771555,29.32008495918035,27.4492801573495,25.528084313959006,23.16886911206673,25.89881941056882,24.192903095878552,28.293097300231057,30.564132853579384,35.40692426591637,34.6954878259565,38.90848608023638,40.27552377513345,40.95254790778199,37.44782800251312,33.71156083321409,31.285358004097855,30.68263796793483,29.68072222145697,32.70585742301951,34.41769110343032,39.20255601309765,38.37478232779657,36.14577255130436,39.216081424111366,37.322655292642494,34.33899031835326,33.02814889168401,32.21502120970187,28.688607334124946,29.32029436002282,27.575547512543164,31.049591616302457,28.727203692977717,30.89902890856377,32.908156448140005,32.06948879273494,33.08115086592197,34.66017502726531,34.70738649996069,35.425834945667894,38.48157456593792,37.34462517334681,41.77164024156214,41.84236446837373,39.47574329786357,41.28788216297118,42.45807631682172,39.3115464637708,36.34699233953312,36.796794439305174,35.57609826498883,39.16416223369938,40.505922671108465,41.3324590530144,41.594386892842884,40.14683945114317,44.99423847971549,45.30385331709756,45.74748807386017,44.654585509883226,40.435600057843395,44.74500569773952,47.18640097720694,44.807424584916156,48.147247573811484,47.01344615168785,51.712269589207985,47.239826093051434,50.68846530123161,50.84355916615749,47.6081615220157,46.2040536500236,43.565304595302415,43.40646728021559,42.92677239063603,37.98498649713137,38.40949326028575,34.98685392302267,33.821638310569995,34.862928399598694,33.168358275044085,30.038764077951885,29.86524706855287,31.25136957186195,27.17393019795969,24.368163416593738,27.131145308262234,27.871021432099532,21.939725950215536,22.170439105616662,24.087100128226048,21.076301429591545,17.730219665827708,20.760303595269487,21.786192985903387,25.80224800226797,27.661645798878897,28.75217980800262,30.881443635205763,36.18905590729667,38.352705658196655,41.32008551250004,41.93202047388392,41.96828791029257,44.63054272496875,42.746475353220625,47.15045742997786,45.454772134823955,40.29796448607501,43.95835789740768,46.826372213134874,42.61136595090925,41.423185467760675,45.2583965988817,44.242269750120954,39.7820023318296,40.57959295073894,36.7265371581194,39.479419040234326,41.747705749797134,39.72768763168536,41.69866683890395,43.011963795341536,41.00555015760065,37.67541494797312,37.8798804956392,38.12588500120878,34.21603818479656,32.39752037705578,33.08389816655557,30.75800590326285,27.913980944541656,31.67538503839744,31.010487112378826,26.30808691814742,27.74239989730514,31.453977735629387,31.398518988331773,35.065376306671325,35.42182694928315,39.07682292777954,36.4008269151574,31.902631160717657,36.51932982321009,37.165980476318886,33.7178589846734,33.90301269830326,39.323978873266114,37.10106671647613,32.518869374663595,35.926764823697596,39.65880642470346,35.43021359148161,33.90469622652704,29.409565111259287,32.61154372602446,28.947909345139387,27.11611019942442,23.187559508759772,23.621042518396486,19.483651248931473,19.45358482766481,22.62814763397486,26.015414185913404,27.646319011045648,28.715208100312697,26.25455461427928,29.93086354781247,26.636288473330218,24.05198134313407,27.74492462556726,28.02299884350496,27.482065786736882,23.972846695758708,22.604932525171584,23.395950128637466,21.470578499186576,17.43477959957528,19.296682154179923,19.50358011029212,21.473507609390307,22.80901386677432,23.187088734402167],[15.044613287717208,16.343177702399878,20.28864387163404,17.221404652712742,22.88985470217066,19.924336822579207,22.188268413212946,24.928219812196396,22.599199166752086,24.807630860290523,26.139794491543466,28.48626433769524,30.132336011859188,27.509995935409044,31.96740399089873,34.24488958858596,33.5144534403171,37.5128424399283,39.709905655701114,42.77535829535606,45.9644996098982,50.116036615526944,50.12703694776216,49.87067073875156,46.96138253165715,42.953421562326064,41.50206262723786,37.55614916212569,38.0893067649745,37.5815364933381,39.29377714460977,39.3112189546253,41.873379563104535,45.78056000267558,44.35817699602762,43.03759045510693,42.47146623051411,43.43328828193436,43.5300243471148,49.2849688918605,47.28690194636692,46.861083675216356,51.305142319185755,51.17869112010139,52.796214314457394,51.1815202865281,55.02181350880876,54.94501728066075,50.35900551863473,53.88342206324937,56.74293382269923,57.45665557287573,58.533851151869705,53.45961228176611,57.39183857371654,60.47392714078042,56.67063691967559,55.57242248053116,60.47534806900023,60.64979512411494,56.30070861421641,56.74065627512831,54.34128026904159,55.859721388468174,54.08177233877218,50.57430462960657,46.6829694177172,43.57297474406416,40.36054466463628,37.57493737815482,36.5067168512662,38.01829167148741,40.23109310807159,44.22191932624467,43.96299656734662,50.12200643628817,49.90054110253457,52.352751572702594,52.010348909147275,53.61293561525561,51.91698114289012,51.87416432379107,49.581563519224176,50.54678981653603,47.84038911922947,46.0599371825428,47.719503974870264,47.864534002334686,47.21811241900517,49.35020900195624,46.50877375830022,48.506796466321546,44.751242746709536,42.6333876969235,38.097524686548745,37.271508063501514,33.177514133242155,36.575443331038855,34.243728542428904,35.28198941214853,38.49292310143332,37.829242972182286,40.634108370089656,38.90093000612915,42.74137639785435,38.15462177519052,40.87572396039523,40.02984496055385,35.76760132943692,35.76048947973792,30.87669088668755,31.740785044612345,27.834072475256665,29.079625985384162,28.809793217847357,29.37586326938698,32.40714290469858,33.061331151757486,36.608622955887384,34.66128057125435,31.444497279147377,28.64776648277965,26.982944761557917,25.49480669486453,23.58117281833141,26.820432695537146,25.862008971657406,29.88852193006021,32.498133024480296,37.23301840445745,36.802089510477195,41.11994499442111,42.191428339393575,42.754637137302964,39.08840702196365,35.13101434445274,32.98730495853454,31.816861050636284,30.36418221205198,33.210742750099655,34.445460787629685,39.14536246809088,38.20526145495698,36.24538104368169,39.381993923684306,37.45448193300514,34.58982535591174,33.4513324000234,33.0329410398895,29.494191908437585,30.60845488460933,28.576642730399364,32.33681270480138,29.809449348935537,31.53748720480892,33.6910080927203,32.67728760188769,34.11956235354497,35.290937568984894,35.85855291973693,36.38076135797563,39.016748310284704,37.887717097120664,42.36738354356207,42.70642298793099,40.25714533663712,42.465260881649655,43.595402893411965,40.71052360647492,37.51431732408869,38.12524531540624,36.626185486745825,40.23614210809005,41.543791216321424,42.23401068428548,42.621548844474134,40.81118499147565,45.8638895846528,46.133816662954516,46.85320388227281,45.754101339602975,41.82936676129832,46.279495779568926,48.719314881172046,46.15427199074082,49.11767533655198,47.6552705755136,52.411363704394695,47.9251562337364,51.56974641531498,51.97426669872137,48.79994154763644,47.70680942520529,45.26087790130289,45.340780547714274,45.13260998206373,40.22989462717269,40.93244370344864,37.71527688952065,36.47131884489578,37.86476276187407,36.07319155489588,32.799492585013084,32.948704094721265,34.49409790196434,30.285831190521783,27.54070468760426,30.559385326087103,31.275016387305207,25.315397195272038,25.742387786908118,27.74272589223974,24.58014707006863,21.36438691556224,24.53528160163269,25.491043903274637,29.58685332386157,31.32210641569003,32.407312104745856,34.61819742707696,39.90478595068316,42.13449792995156,45.04741955776088,45.580437191683856,45.51424206255223,48.082422262418774,46.03006793941432,50.45243019500911,48.88741921161378,43.59129951890206,47.12143023662186,50.07717149724367,45.86087959628483,44.49920491843037,48.2294947398193,47.33664448063087,42.87855286518211,43.326232249317584,39.686658638242285,42.240410601651284,44.670611696401714,42.81274743141628,44.644060969510576,46.05392435430258,43.79353026605805,40.571566443679465,41.00340622412013,41.02691702363549,37.00450184242872,35.49415486046284,36.17470677262994,33.72607689666613,31.08355359509385,35.0146318394657,34.251676971722624,29.524797083492565,31.237531492243715,34.98317254067223,34.987754847371114,38.58520564518877,38.80341544221751,42.549818465656884,40.02169235802646,35.425981634839886,39.957100879656636,40.75021092286159,37.320449552105494,37.29895934955491,42.805147533281016,40.67902973271215,35.96616427501625,39.21029141906139,43.07250477807817,38.84233448826884,37.13574450097121,32.67530584119875,35.84844508642031,32.180805264849916,30.61056208309426,26.538853431569816,27.04943640659535,22.83825457293103,22.600959465235707,25.659562153118525,28.98576996303794,30.50653369684205,31.76929515030028,28.95714013252238,32.525919991040006,28.87063474629094,26.692173479743282,30.26240759245142,30.751018982508135,29.743750951199143,26.326972702999495,25.44827697930996,25.95610228434491,23.49711284670152,20.072645485854935,22.261133599099146,22.312860821198953,24.23762191775935,25.608911651470702,25.858577101289676],[18.1222606996255,19.329449194121416,22.974605458570316,19.50432314372016,24.781921060433046,21.343202892909893,23.00446618652571,25.49275180470893,22.499784172089534,24.290940197138845,25.165711862109298,27.704483246282713,29.48144612448674,26.42084809920169,30.635467590832707,33.19284481080624,32.578655414474085,36.30659106512887,38.38494986139941,41.70938407384709,44.751709435931616,49.0489773812511,48.93359496354354,48.84407414403371,46.111779449480615,41.965587713267794,40.803784912054525,36.84544488742911,37.27202634093982,36.878398536543116,37.94881059088963,38.444079110507076,40.74341900748377,44.517827426351104,43.38229322991954,42.05784028853085,41.893410341065376,42.84311099228886,43.172955989497176,49.135414898811014,47.02450938314062,46.146355436938805,50.632186778708956,50.63982506844502,52.16001291823379,50.71220147085963,54.598422553238514,54.545077346385554,50.15135017465614,53.93082408596187,56.62156916925458,57.50237848193001,58.38656585817246,53.27862887789738,57.08715240214699,60.03394183712804,56.10421372440929,54.88549340337308,59.74542736711133,59.86821299102244,55.318480064282525,55.508029469793655,53.00374114131144,54.340909810407766,52.78475691462363,49.391445533691574,45.1722650197878,42.10095099037899,38.66450540894811,35.787339531653416,34.58767334999494,35.7651784962981,38.140231290059944,42.24796626378098,42.220590142019404,48.308419802936655,48.46365861448369,50.90187656531823,50.84764020702753,52.66389953139249,51.275091472559595,51.51228585837805,49.42009792268443,50.64957116181569,47.91303300813858,45.8372360152605,47.12885243245872,47.243715132083544,46.21620494736455,48.15545093255687,45.0666326376485,46.739932209170775,42.99784944881306,41.02289564860921,36.61353399788264,35.503692166596466,31.54314784175507,35.400038051111856,33.384509796080614,34.75932903974797,38.004613441410896,37.9503168280025,40.62280705968042,39.436282651344285,43.51639655921031,39.173661107202676,42.2068933058245,41.62545524329731,37.52113267632488,37.19248558479959,32.296487696501,32.670004202390686,28.46247250384056,29.521893009337425,28.586786444008055,29.157148645928874,31.797837593786607,32.489357961242945,35.470232405063726,33.49001216115772,30.245888050265933,27.64799893757389,26.388618865464014,25.291369639606103,23.764303283175945,27.52936301320408,27.172701429702652,31.124121237525138,34.0259327466113,38.572980139764084,38.558329549019064,42.90489377983424,43.74034331692324,44.06119410027738,40.38309699946804,36.22336012249226,34.52221621110348,32.82027056830909,31.00276016437587,33.55573048558263,34.45326306796952,38.98661544138598,37.80979312813899,36.08523442437175,39.19114163765768,37.12498961234652,34.4365214487863,33.358839556245904,33.291397656107385,29.713090545493856,31.222473856167642,28.843187293432056,32.78730077258706,30.032305051029056,31.3036358016882,33.62017289330526,32.50929669600636,34.3986912110478,35.2062007916082,36.360392118413266,36.83207356504617,39.01024466115116,38.06844231798623,42.508060673247506,43.23432404371367,40.86990115324507,43.43538516552054,44.645584827062784,42.042133697791954,38.61653915150653,39.27547533413438,37.445111238063646,40.92769905315838,42.093285469121575,42.556936215157656,42.97636013884047,40.779501371793664,45.96785300385197,46.29806160187766,47.28307644445201,46.31295052791133,42.65063744872994,47.2926892174159,49.781810780831165,47.08050252303265,49.641579025575446,47.86043429881507,52.71355950309633,48.33575163694109,52.16628583251968,52.84483262400746,49.681654610400926,48.94374324547583,46.6884335387942,46.97837033192748,47.05894293697631,42.21617563365494,43.1274675137833,40.13763713390805,38.6902387816488,40.422309670782134,38.42946855660199,35.07529441662736,35.65194061510603,37.25544910805579,32.88068169451682,30.401128526776812,33.61399169141946,34.14278409194428,28.23275018847671,28.959641380376535,30.98174169393178,27.577854232960327,24.632581969983427,28.048916030032252,29.0066308032277,33.09260434713191,34.91993063949367,35.83363974839079,38.066963855783754,43.344557723942835,45.64550954061027,48.47891590571286,48.808643049833655,48.6208372867419,51.03559170413393,48.76771664218541,53.251278790940056,51.90284612782504,46.475150779656964,49.82631639786736,52.959959259737275,48.80778825763439,47.23574521268954,50.873957188463145,50.22947664205135,45.7914254438896,45.82763095515678,42.34561751576629,44.54473846899426,47.10238019118809,45.352962184334686,46.951007659545084,48.4015035231972,45.853402777520294,42.82829119556011,43.45446739334898,43.17354962811423,39.07887230105598,37.944982381482546,38.55274671244831,35.95993149500661,33.60392312418261,37.713303968150036,36.8122985086302,32.08755014371304,34.16790156440127,37.94969663958515,38.06120142506275,41.54865828011666,41.606266635015984,45.4890824940111,43.179138307209215,38.50316031037535,42.94545204841577,43.974924691708125,40.60558751492898,40.3817911064048,46.00448740566204,44.088225127132915,39.26724866233259,42.32755858867504,46.38731547456423,42.26528185968143,40.395921741405324,35.96243676495245,39.27260292328784,35.67528257863042,34.24196739488684,30.011249052521134,30.374157482046904,26.023164708048547,25.86582473628358,28.761183838031258,32.10577911794529,33.40224791387745,34.67054515663229,31.442997380328382,34.79452702596425,30.78523784270007,28.919265644938566,32.19306779381451,32.82834697700408,31.30219758029123,28.11556718134043,27.7020398104173,27.825211169158415,24.912349109126588,22.200797625466482,24.617963402506383,24.489702308369083,26.350809891731764,27.75669610806251,27.876221311911827],[21.6590704539931,22.453713584903767,25.6500530826958,21.49485587172182,26.397223637958128,23.29372882156705,24.34603323276298,26.986735516571475,23.560155603580352,24.57105830938587,25.285133966302936,28.28013786838516,29.599532641308627,26.005804918186886,30.17134465164859,32.92237935831152,31.99064376359008,35.373399804501176,36.965529151096206,40.6011582502061,43.33356856366376,47.73175657688582,47.31575781066972,47.211875272714536,44.73057679520493,40.52093339844241,39.76915167392849,35.97312740643979,36.64251653045489,36.677298088742624,37.35142634882374,38.47232814212796,40.72749025569063,44.18834070526132,43.135768380783176,41.53654580890657,41.81753571248852,42.3157608592816,42.67192048377798,48.75347398804089,46.283757385428316,45.160383608625814,49.683201420516944,49.58695459055897,50.82062165369287,49.36439232242806,53.24488328125324,53.448088166198474,49.21652216563731,53.16298985662782,55.884849298807424,57.006193837008404,57.85570811804585,52.74942142764712,56.68381593030621,59.327884412123765,55.21079265676899,54.15822723526571,58.96502378977442,58.791588869921,54.16525105817652,54.33299921299554,51.91440648081466,52.86412174259482,51.37597021008132,48.240758517623426,43.677985176771614,40.86307465171289,37.05479556686222,34.38742758045036,32.863534731429475,33.73371523200376,36.48800865682275,40.49624586131896,40.95418183615119,47.00797232645802,47.40069096497082,50.04873180614753,50.14283082464464,51.98770708388023,50.979364421310805,51.26026520859891,49.573130639790875,50.81555136348601,47.89226596935075,45.75384959974086,46.66067802976194,47.07385146688184,45.564134343235686,47.65824338726686,44.29231134370669,45.75434295163314,42.15789269521384,40.50914199153681,36.19435315907067,35.018097559476885,31.143015818735687,35.51933908778502,33.87288585124505,35.84731892290394,38.68006468463453,39.18911376293921,41.4135449788007,40.667765650477655,44.64529087244742,40.46918291224023,43.778851544647594,43.192827796251684,39.275520315960385,38.91328786030917,33.97232861372761,33.76663331392622,29.450547013268885,29.9599473533277,28.51175820628748,28.699541771947036,30.987709931531164,31.334098650958232,33.88909087808393,32.26722618880255,28.90185928435789,26.679060571169725,25.411352975674983,24.89194205378225,24.019537525040032,27.95461370630195,28.508678165415386,32.18418328936013,35.34675073812085,39.7644036536204,39.82868738421198,44.28125704728871,44.71786542341774,45.099015551583534,41.13917066133606,36.86530990399305,35.30025215590233,33.07807788568694,30.813318677616145,33.20972676557003,33.45557339222559,37.84526533378424,36.73754285315447,35.37442092898707,38.572758833374564,36.70765410302829,34.14688473929554,33.478663815545886,33.87239718129517,30.552548247909215,32.62010219432748,30.343327358719545,34.623092655535515,32.10946837439747,32.835862854482414,34.972924453921934,33.48766333279609,35.60934535178164,35.868420359826146,37.29717421767229,37.27961312512333,39.04704310893989,37.85594999073167,42.348431717270714,43.14674771609479,40.56316968520553,43.49541651042177,44.52190368221129,42.219505935475645,38.646859857278905,39.55747757911053,37.56970572158808,41.1619140832767,42.421469721548576,42.89444494632901,43.60398758250353,41.18563179535452,46.56652966607224,46.63088331493935,47.87764809484669,46.678354104599805,43.4473611385303,48.02937788891545,50.390416193754,47.48737286539814,49.66188006255756,47.58734970251966,52.350093900154626,47.8838195916279,51.85462553052216,52.73648376516267,49.743254223865996,49.28104638382756,47.265773178205905,47.8273482259416,48.173832848035836,43.43549039688532,44.70134072949255,41.96300633789459,40.623191111556615,42.73389936515033,40.846829596381255,37.30022743751581,38.0510631743788,39.98135323603101,35.61018151783427,32.92204836657478,36.46816137935891,37.28921912179763,31.28696658441901,32.07176736302306,34.36357119455313,31.026240415677364,27.966731855989263,31.48388607766585,32.14819118919382,36.56679381771137,37.87009896564502,38.85262848209685,41.32668746226501,46.50663068194798,49.027308268705475,51.68806286609056,52.016196679340304,51.63099289461313,53.963054924666395,51.52634091622498,55.915001636262616,54.6428789753207,49.03281806459044,52.244659366096606,55.35113706735272,51.15209669278098,49.406056631907504,52.86214591318558,52.261237063703035,47.85465735806337,47.52057734447761,44.3922807349086,46.52675780046884,49.291745043093876,47.86370963099004,49.44976840761294,51.16625942957247,48.397340603176794,45.33775424294019,46.36221731300738,46.03834939721806,41.754221109484924,40.853648399094006,41.71040770805767,39.13064260653725,36.78270706830783,41.07484935167703,40.317720222343866,35.62496314055723,37.71351122860964,41.557708144132185,41.508309700365785,44.88530117335808,44.70064408434304,48.58834125631036,46.45071811140376,41.567746010041816,45.820504851530224,46.954138135548774,43.58582887194081,43.0254504758052,48.6978049021974,46.865087163270196,41.84741788676591,44.659057338513705,48.836653929114505,44.70390072285552,42.577762243568394,38.23958049580009,41.45848235223828,37.90611275375774,36.89467696034455,32.46703289697713,33.00219209374666,28.692640877293933,28.13935701101002,30.851362419174343,34.028916776405694,35.217597515122186,36.807197100491045,33.34197193687833,36.622300650363954,32.38697929178802,31.108349814824997,34.47005142762752,35.46130857356711,33.69538185237121,30.39114702256968,30.52298872565583,30.730578169040587,27.278138136943348,25.00747375583149,27.86549316630677,27.953367066243025,29.874612117740753,31.253530523897133,31.317170285450498],[22.290858433897654,23.04999809587598,25.896641098008683,21.857142791332762,26.152624084025035,22.163052947535697,22.666335579163118,24.691646597007427,20.764114427125882,21.651205046246492,21.793010776143447,24.658999567223535,26.41413575730555,22.737855027702732,26.480332071783106,29.39653229805151,28.934677836034858,32.17896354088263,34.09400528935115,37.72212241392204,40.54553898985476,45.002103952880894,44.761711243719866,44.956968411844926,42.47894517408683,38.177590084822334,37.41889564665669,33.486063924835115,33.70732969096956,33.50932078260734,33.62505533911083,34.86698503593048,36.801469899201194,40.28213892622074,39.53352890243402,38.179922056591195,38.63509146373478,39.531439667991506,40.22673217043091,46.4318131180987,44.21886868487671,42.63941678354534,47.1315004431089,47.385674443037104,48.8075579689834,47.68369187003307,51.61438360529384,51.505729239580354,47.45645499303315,51.5981702343873,53.94399540293907,55.056348322931186,55.60798150640265,50.49411794238395,54.052625979155756,56.786001302111856,52.713025087178764,51.295603333614224,56.05522691871257,56.13270882155209,51.31745143651783,51.13621107378224,48.49987236214265,49.60019222639043,48.36629795472936,45.139737564257985,40.52017902126295,37.51425158762696,33.83577043223139,30.84862671959261,29.51091244795242,30.261559194927948,32.782860882884904,37.00960681886977,37.26777219228415,43.217798818080034,43.86102751852644,46.28086315234989,46.612708262596534,48.707742390285425,47.79052442427079,48.439487015187304,46.69843748492617,48.31839114117819,45.56546159982791,43.04914597210226,43.756056533921296,43.84393515294327,42.248042786058164,43.93115107161345,40.51311128789125,41.752469936256894,38.08257210334932,36.37121220229379,32.179327001411586,30.751181781665416,27.01730094280124,31.528945233538593,30.070968455937752,32.12164367185393,35.132712990501744,36.08735499462683,38.367087739600755,38.102698733959144,42.440782785377834,38.587273067641014,42.11637903434684,41.9796586190068,38.248581736332746,37.39159395544524,32.58781608106926,32.07039752398129,27.51095693074542,28.19950575652164,26.202070208099805,26.80533578410434,28.733342890865583,29.57090174215474,31.594324636820033,29.50728004354894,26.33201832869255,24.08522481872426,23.61359282525943,23.139182482114595,22.290534947801525,26.762423121087686,27.423630334823947,31.090715823685592,34.41390061667927,38.51879192294706,39.25195126998142,43.562487994008016,43.971876638838054,43.8411871058417,40.23233642020132,35.81356247625494,34.97558748999252,32.4315354412872,30.118027525558936,32.05684281180647,32.53346146818045,36.67439098431937,35.039364616522846,33.67389599941694,36.62416495631908,34.33252717542568,31.994423258826355,31.02707378917603,31.54670375153271,28.058066179254695,30.247994508971498,27.51279436354641,31.766064322329452,29.01226998418815,29.344808205790777,31.668487716557358,30.276571972954343,32.80534250027203,32.9155927203782,34.96562370554936,35.300545757595486,36.68070191707433,36.10294481588467,40.3702216090289,41.76190285875988,39.67484707627144,42.76221438816143,44.18545485022658,42.09514780311556,38.33391759391023,38.97974695452029,36.5961368626222,39.737188049456144,40.61870062733402,40.694997988089725,41.17860788094395,38.40292912492834,43.74659678341479,44.12501225715452,45.53422543502352,44.780955098616054,41.62035178160955,46.512539700881725,49.06096419131789,46.17661556484235,48.03295293037688,45.764199298682016,50.741472737006255,46.65962889668871,50.74321284862043,51.8792950814706,48.72781540338512,48.617402078948366,46.71141443261778,47.349354360073804,47.952280774328365,43.28996122171937,44.553342236207776,42.045571122158506,40.235991792836366,42.609897873725366,40.31003780988258,36.83425293801291,38.20795422191593,39.96609197671653,35.37675513902913,33.384155829268096,36.977694352903896,37.279076478089266,31.522743102833793,32.816086801014805,34.9944961596136,31.268174152938172,28.79134700658276,32.72888567063865,33.52356450982931,37.723386818712456,39.540090501155326,40.00986656982995,42.36963513536767,47.53588750488065,50.13811664994906,52.64346836843629,52.50963124933354,51.974824196911094,54.03132439080448,51.30840316697345,55.837317015371355,54.95333167716183,49.26145212432211,52.20034418950568,55.66280091992297,51.68087226075179,49.674841282555626,53.08522163601087,52.98635870043431,48.63750475319019,47.82453314252998,44.687777061587006,46.158578121718264,48.94677202805926,47.487506204775016,48.6555837877569,50.27552410941358,47.18843992111977,44.50437801719717,45.62793434027939,44.853444958350224,40.59692753442596,40.193363834181206,40.845664955632955,38.09735570571845,36.20668268570588,40.67173497356508,39.71568647170958,35.10709093945148,37.71890449858429,41.578219441092614,41.71926124566875,44.883140250550994,44.497053360410426,48.58820036191007,46.816520304232355,41.91960589948522,46.061805809420306,47.60204313227723,44.39626285291221,43.66254621266028,49.48968192628236,48.10089466888677,43.052681097727245,45.65430789244905,50.14825646064545,46.36076978922292,44.136864554966984,39.80584932054709,43.510949904906624,40.178037587468495,39.01660801318465,34.40999447473765,34.34601461404016,29.781633179226617,29.8719017686738,32.345001024416646,35.72345536809563,36.473674626070725,37.647355573441295,33.66111781907392,36.511238915180215,31.959664678258434,30.746702864897788,33.458796809014785,34.45023310821559,32.08406678602671,29.280353218919423,29.82089378242863,29.447166737566544,25.69877134162605,24.33458935827652,27.26382960266263,27.139804191033125,28.963653958654504,30.387167633893853,30.34494649728033],[26.326961154365392,27.282742052171944,30.443366693731253,26.2769436026074,30.878536781049338,27.398341977480868,28.0068999723165,30.24009713722004,26.317157566627134,26.91856926527863,26.99595597193964,30.012546195734558,31.563284451963824,27.594941584588106,31.21320357721256,34.258542844672455,33.56378353981024,36.47860051809249,37.86198555980777,41.78399960914483,44.251214444717014,48.78062575930892,48.18213596437997,48.3000374629395,46.11626487241199,41.80068323199864,41.46322432765514,37.74313349992447,38.243996145124314,38.39082326583563,38.1580584750595,39.86532865514004,41.674515384807044,44.921076200906285,44.31493022435065,42.78336236738571,43.56513573748559,44.08782525516642,44.73626346145926,50.9722897058729,48.40583398449262,46.73050891519206,51.238182961117296,51.312702942019385,52.387566600147565,51.15092160224991,55.035357113600774,55.29201824828558,51.35384176845001,55.55301727387937,58.05277334301618,59.36286553593662,59.97589361596677,54.88192324542588,58.61160065219443,61.06769278403033,56.833751530651185,55.6304278422409,60.32744316640246,60.093368856970166,55.24638889958693,55.05602008398885,52.50788422998422,53.18445161752741,52.04586181743425,49.119171006793394,44.1523172823012,41.44921836897313,37.385924468593416,34.64342063054734,32.95041694092929,33.2123463102249,36.18350773186295,40.29958549137696,41.1126221007374,46.93959917441513,47.907823238861724,50.470817058224625,50.989618451396595,53.11889130346178,52.51527985196949,53.16618176247571,51.71335659247649,53.273951381441194,50.371227294352536,47.903451254363155,48.35036646044361,48.68040081016558,46.7155719441353,48.464817297796415,44.81423819891867,45.74865300788986,42.22223533400648,40.79018739887422,36.77932084887529,35.17107159457316,31.643730956005516,36.49895063098843,35.29520127336356,37.51411546993154,40.45960813585825,41.62742669493539,43.758368531128966,43.60433129700711,47.82642677015179,43.94895724924818,47.48387545463574,47.173013073544084,43.41145054096391,42.74905025375433,37.8864864391633,37.31472974069104,32.81342393740654,33.19154355460732,31.09243542969977,31.29809709334591,33.035538433533546,33.40164583257665,35.119099151617704,33.52253649328509,30.23658318986268,28.391992378933928,27.697769024829984,27.666170824681558,27.22062189297292,31.52136676053636,32.50480153811613,36.074198049430564,39.41007607433314,43.60483330411112,44.04108685812106,48.459332813611766,48.720751595503586,48.86042476057929,44.96626164975605,40.5746945854256,39.42273771244644,36.79144685380944,34.237295036239416,36.279514060826685,36.119044706351346,40.2094583517996,38.86956439342107,37.8327474911334,40.92359740289155,38.930125748984494,36.642999183437254,36.03264532235719,36.76800263167805,33.44913277921994,35.77992737680646,33.12315497122398,37.38174965007122,34.53163360571371,34.84436591405547,37.21748642319886,35.768033089482415,38.34310670803812,38.27377452158462,40.328552684173644,40.335255607775046,41.57727491692666,40.645015751028026,45.00416625105264,46.2140538764432,43.75021775634072,46.99827318201069,48.07038732410338,46.06168315542069,42.336374959458915,43.28650542141297,41.023140192039925,44.423621395072566,45.50418611152697,45.71101921474349,46.40460588522201,43.59032448181934,49.01414586699819,49.1993141959778,50.710187959520184,49.70548733212084,46.757794431488925,51.494258238956874,53.8925171326973,50.8949255977265,52.63274238539036,50.237878617280906,55.04989890238593,50.74684769088141,54.87289785412636,56.02744468099013,53.084414496230124,52.97061028412759,51.14944039404877,51.885826478061446,52.46528257380211,47.807044839406274,49.19908716014983,46.622781299773195,45.11692001821617,47.40347441274428,45.336517464260176,41.80464278678345,42.834942279654044,44.7067186348557,40.2332136777757,37.81027309848969,41.36713397283752,41.94551594124628,36.04864348372767,36.98596207954151,39.16182543319153,35.64944751672133,32.81646066151623,36.37481654107723,37.17238139179277,41.43246196725375,42.96787473516019,43.88729908625387,46.27923020745796,51.49206606806126,53.93378126744109,56.64861849535805,56.86333405673179,56.47281258570816,58.719007404623234,56.17414081812001,60.630106756197314,59.500958655314186,53.85891755111463,56.9612191710058,60.196797808345515,56.060132942330355,54.20491426999413,57.6077963186867,57.169888948691366,52.787096967441165,52.21871949601895,49.17733600445381,51.038821984414355,53.852628499372166,52.440085496987805,53.815049830613226,55.46447797788782,52.51425586183318,49.6785412604503,50.72674793525213,50.12776631107475,45.886534495874336,45.250933904981714,45.916083867731096,43.2100767750592,41.14424246703179,45.46525270256448,44.49782242908053,39.81688463137501,42.19784982042741,46.01333945461393,46.14748609378754,49.49393211681339,49.298260561061326,53.28084017995807,51.229950826406636,46.392312064589376,50.640564290703445,51.891729397708765,48.56186439606187,47.98058103644489,53.697600586736186,51.948000746209914,46.92815283042801,49.68378772356366,53.92968981689678,49.83407725806915,47.673200413958156,43.348655037573906,46.57856669081158,43.02716877296249,42.02536932839493,37.6120027344053,38.09866068560587,33.736402256792964,33.26483911826192,35.92980383371778,39.099235794471305,40.201867998575,41.7678506524402,38.104227905882325,41.20958086719696,36.78377150272019,35.6497737673123,38.69114224142432,39.682035034444155,37.52619538373663,34.54570525859147,34.885439064570264,34.70130616589988,31.11277667901141,29.36156087712119,32.14083270535373,31.923260698795968,33.702735397424725,35.089563094577585,34.98523193623229],[22.59918342942778,24.045928075580594,27.7734074070745,24.309210622615325,29.461279371395353,25.79601140074659,27.15856826682519,29.359578146842203,25.935980146626413,27.42618059372138,27.786852914242395,30.360550640458275,32.384497291769264,28.960047312250403,32.78560259183283,35.62309440320631,35.18651507075306,38.56453735231687,40.45017802219506,44.05753611935345,46.8812081826376,51.31549230692023,51.01400767399154,51.074715525157956,48.58873933627474,44.33092284122957,43.52583251237973,39.61470037196246,39.947596823250755,39.657927090362676,39.98524576758227,40.96571326194804,42.894325862513995,46.53094398808838,45.772072422012045,44.497344115102614,44.74181547007267,45.699550597765,46.247504850134746,52.36474991290752,50.12492164462212,48.823775556157386,53.3278432154204,53.436589247793975,54.79612190143833,53.475463347728486,57.376947348283714,57.42600293031912,53.23472053740702,57.22037400105323,59.79256725332668,60.83985207813943,61.56614695047224,56.447363778155776,60.13967136260019,62.93094875822578,58.879524923737186,57.56358064314077,62.35549779926712,62.40121752456487,57.66041328283292,57.57121641122485,54.956417242569636,56.05122162257739,54.771493441960885,51.55015825020335,46.954459237179655,43.973826080047374,40.27230209106729,37.3232233950057,35.94686214412593,36.608472582702106,39.21580123076743,43.44191030980591,43.738527008108946,49.67037111934356,50.32222042509751,52.70310353566854,53.00897502012608,55.06830259536889,54.00678418940653,54.53532312663733,52.62273968617901,54.097167096233136,51.35283727886467,49.023209013641534,49.95338135847163,50.01156554753125,48.60317218668414,50.26523077253428,46.91803610159152,48.14395174353301,44.43234706245564,42.61565840225802,38.434133600477146,36.92191153368695,33.22381227432852,37.51754889243638,35.84288453723724,37.3677288134965,40.806531112938174,41.26135105641215,43.91804991417196,43.17196063550411,47.4650300650529,43.31267140138972,46.503020958775245,46.097342934460826,42.07230495601831,41.55283823213275,36.69154189186285,36.82125949577918,32.4495031616306,33.391521115568686,31.942586240305616,32.476904562986874,34.71884160852803,35.3567925567436,37.71807070645415,35.80149875155043,32.555051435617095,30.25132523786287,29.359255050276225,28.682131635618028,27.520499399855634,31.586055248478253,31.58650795764144,35.47939739755837,38.51417335861222,42.94435049277109,43.13419249097098,47.48446457534614,48.19836548586202,48.397092308116974,44.71311328990286,40.45571467800861,38.96564912038093,36.958879785485195,34.87190432991297,37.2246952625657,37.717943300708484,42.08017598906088,40.7860531961786,39.33453319429384,42.4157471195543,40.27733834826517,37.771327423493474,36.764593025963805,36.96977127077231,33.362439726596314,35.070721230023345,32.345326971285296,36.249390611182776,33.098262716107705,34.1148168898677,36.70934725686868,35.670457678771825,37.93962804983447,38.51923521873584,40.165028423796166,40.64328516373017,42.439557865273166,41.63537236719198,46.02520458986847,47.02036471462625,44.65403758363281,47.479052461808166,48.65277368089138,46.243737839496006,42.706810487223166,43.45999994984099,41.45423081714872,44.870838090809414,45.943595966434,46.23089150786135,46.64937101667479,44.13906745368487,49.386382707874496,49.812385256482386,51.00003079396647,50.15032548134527,46.68542465350927,51.44096270154349,53.948014642529756,51.158807631262974,53.41690570504477,51.38515546811889,56.27125517296194,51.9475098963307,55.909925700155,56.77484974380748,53.66989102893025,53.15576680605577,51.03199861690926,51.448818488821814,51.6634700160447,46.85682258174954,47.8580301820279,44.935188866782916,43.42835335853381,45.21926732674414,43.13179439729108,39.801999832671,40.478497844763936,42.01475659838146,37.59661136114927,35.2399449004438,38.3920498718903,38.752587526260314,32.9274094085804,33.655117172429904,35.51760879842793,32.04123209765605,29.218881991656474,32.49046080627535,33.60873846005482,37.49445715173673,39.506019732174536,40.51320635936427,42.63391699183025,47.95733758856515,50.078827712737144,53.0631006869306,53.42071424315502,53.32229949061966,55.74362020736866,53.48306278019186,58.01391719637236,56.686397061115045,51.29003190715811,54.630424822114904,57.79819826094723,53.655351642833104,52.077624704934195,55.70331370599229,55.06939184715744,50.63340059909546,50.62429267018472,47.18374611741471,49.296611527621586,51.86796580233958,50.086445907802734,51.57578330328872,52.92535161264779,50.311043453324885,47.434356330265494,47.979574503545294,47.52640459561479,43.51137089687545,42.49119840753034,42.88662778363623,40.19707435617321,38.03873362280625,42.07964637531471,40.96046275975364,36.229988630834455,38.486368679091036,42.19828102981218,42.50276529062491,46.037222562510514,46.199527161568554,50.118229257730896,47.755538822350424,43.193904651228955,47.69367657995607,48.70053647983639,45.32876501668959,45.20258348155935,50.805153648389876,48.819166745890136,44.05295533548868,47.159600147495766,51.160596447458246,46.967670808439024,45.13977175315007,40.710514219272895,43.866922917851774,40.184824746688335,38.75318553268987,34.65119972748999,35.14597608575365,30.833123842392872,30.59417708940692,33.533233325996655,36.8169704913414,38.17949656606464,39.51748465694355,36.260263276825796,39.56209934280523,35.450057557187854,33.655877307500155,36.74699859576492,37.32611148492259,35.55726400275434,32.613961254476706,32.248973851915856,32.062985803693195,29.148774715237998,26.742868538632443,28.973022838871305,28.4892438022154,30.182863786693424,31.584739522144083,31.542687261616855],[23.44728049634805,24.67379956351838,28.35170758418341,24.584843800150765,29.871505451335487,26.922759349261646,28.350347469501237,30.985516591024787,27.72171496321862,28.967466954337016,29.64113114319236,32.488375625177596,34.01764870963116,30.46762473194756,34.558105402084266,37.34236318705927,36.47719990378884,39.82896392532426,41.34964292047581,45.04235812798133,47.70756711962546,52.1214697470102,51.61786625261114,51.473661622538046,49.064745616597996,44.862978603379894,44.18627911212792,40.428296152371885,41.130520954995134,41.14519770701182,41.73375509923066,42.847306078078134,45.00547864587766,48.50945378235241,47.54652599553778,45.99819598178043,46.27581502906388,46.8014353028823,47.13127933382539,53.19098628904163,50.67022878675281,49.59434829887327,54.12032564958965,53.963097740434,55.10947791434394,53.57523885782221,57.430164574003484,57.75939808545489,53.51192166475717,57.41255161481331,60.232549453862134,61.36260627424842,62.27474638572132,57.17102160490369,61.15345876827621,63.77757598399167,59.642267817302,58.63203588611596,63.43424700638356,63.21143732736091,58.5848318339085,58.7368827717415,56.308934119806544,57.18270518942072,55.73954554575406,52.6616242910966,48.01558638644777,45.24580661962025,41.35751417226594,38.69619162404338,37.10732673461975,37.787517790794155,40.64754593767301,44.68103820426991,45.251011744435765,51.252063080659354,51.778848929796006,54.39696174548485,54.56877861765704,56.45223664790167,55.455408106895355,55.739378376267915,54.01525219578677,55.231693345036476,52.31087072283799,50.21783708255721,51.14836991306908,51.53886992530878,50.02685912626913,52.044617120842375,48.64716792115746,49.98503523627204,46.37678481509977,44.71825217685972,40.46669251028714,39.14082770775512,35.350723536876856,39.73423490301165,38.064956706156764,39.80934505511302,42.90834878226458,43.283204928041286,45.6969583940881,44.80462676351775,48.79701542131251,44.51304857880596,47.66593544845345,46.96765330414236,42.921345177799445,42.7085990721095,37.76327043240774,37.85011690234264,33.61578063175778,34.23204847168,32.94740777247465,33.09673412869289,35.429765120652526,35.65740099256185,38.20954776967892,36.70028493548541,33.3139499898718,31.150079591863733,29.787992142364736,29.27314939105591,28.330447093116447,32.09526738056995,32.371003817964464,36.12811251697466,39.14469458666427,43.69425625580847,43.49548480907998,47.955400071279804,48.52508207927421,49.070119932226696,45.07313658595375,40.88739952719159,39.01284330297938,37.03234892150126,34.842922961636226,37.39643560795368,37.539815639160736,41.97613310320383,41.03536616179908,39.706885980377805,42.9558524476348,41.16397432162485,38.57132141521021,37.90185548333368,38.19760076860398,34.81757767018989,36.67309836472722,34.321524641657774,38.39987663931729,35.592029334873686,36.60688554420185,38.94883714502539,37.66549267074856,39.74356948931072,40.190971601677504,41.524841988785006,41.58229529521268,43.47050144470768,42.191860404723634,46.72351105400651,47.36247704742086,44.62661496620391,47.465085563523495,48.32564169263372,45.9048814384862,42.455599750801866,43.45168331453992,41.64578797149058,45.361870820821196,46.70382985318924,47.250684000497124,47.92854276685311,45.57942343914829,50.918584398853156,51.02454879624489,52.20068190124639,50.97074848569969,47.63606070361927,52.15164327002376,54.48104278406114,51.61411951410939,53.92825103337045,51.925663924727985,56.627331471855356,52.04412710812526,55.96861093913698,56.74006671302501,53.805130438165385,53.17073162241768,51.07559194652306,51.54487560991872,51.701302652661774,46.91107460964997,48.0506362070906,45.10380157267612,43.943088760012515,45.72703004816186,43.96035919960101,40.5146414815392,40.87607065552328,42.665463751774965,38.412591604263504,35.541447507080655,38.79821348867407,39.634999513821505,33.64412164568894,34.0799503656128,36.14661323679504,32.98076326708725,29.752074778139274,32.79598845910557,33.66548933939407,37.84332472611551,39.24812356581502,40.59186387187414,42.89985496928667,48.15556013418033,50.34827080614825,53.31768588568677,53.95802609894122,53.846375541988735,56.3921060870873,54.23521261728585,58.615083697370856,57.08246352661355,51.66639596668953,55.10150418007485,58.02256415559812,53.73583353500764,52.24737540100087,55.80799840595853,54.88427677347545,50.444197655354415,50.572853031533064,47.30299383229149,49.79337036018906,52.43308397129658,50.82865068713114,52.57886491211601,54.12422551267731,51.61657742018976,48.48158861410241,49.165010900328696,48.99530140269163,44.873084350853425,43.64908764645931,44.3216431303972,41.76859423466096,39.31374316506354,43.328750364876285,42.44578143540397,37.70424280441436,39.59882988411069,43.32478916029802,43.3989309349747,46.98978010751485,47.14370623440035,50.919206812051264,48.427493649582885,43.779482222068204,48.23108137654699,49.03293141445921,45.57526145812532,45.39028340786201,50.89767680655383,48.68898833417457,43.869434753014744,46.97472208358736,50.8203350394248,46.43347931849083,44.55948887939583,40.194269952522234,43.002268767113286,39.23521578172519,38.091693809274126,34.035601429199524,34.96084555993108,30.861810301068534,30.070251718598882,33.04311864172591,36.10630652044097,37.67655721798396,39.38686146759315,36.373286996512924,39.884008183340526,35.90383767891395,34.330454961518036,37.84921811895754,38.59822734790472,37.117834039725196,33.80686757611483,33.44887222111269,33.69825764851552,30.718635206993895,27.968620479500203,30.373027162297554,30.189061913600465,31.987672591874322,33.34027637847199,33.363457507440344],[18.752894187231895,20.383594009364863,24.558465040498398,21.62716388686874,27.369292928747303,24.50949464913115,26.727108033889486,29.388844563748574,26.851347063654522,28.90859488801012,29.98621933379233,32.39311979649149,34.176931480597446,31.276906068220445,35.58870586883863,38.05976897078036,37.35281381300508,41.16013514661414,43.14453883772338,46.44155960253261,49.45967191572601,53.713428462109064,53.53240097797002,53.29228880443143,50.55404717116478,46.47551898769757,45.284871676175825,41.39348488977909,41.981795619513875,41.597643815821286,42.91200742771461,43.23925920317009,45.61199024694211,49.45429117855287,48.23172925795552,46.891113017065905,46.564273658141644,47.444683271283296,47.60364786497498,53.44615341411092,51.27740021330228,50.6836511848544,55.16452830805481,55.00112313168718,56.44236939921166,54.80018739108762,58.6404876198359,58.750642828072124,54.23719649225764,57.84982958362893,60.75696695661702,61.58782637570444,62.655773762223305,57.56644710766459,61.538066469624745,64.49378202179183,60.58369567902018,59.52166408325225,64.40327753844267,64.44966247065187,60.00818347102929,60.348121483184876,57.917104008466595,59.2238956495064,57.571084009013916,54.20161459047927,50.02905845861768,47.018504039278014,43.5503108879412,40.76876289305426,39.51043984342783,40.6738993272211,43.14249523717334,47.19900559889395,47.23022060546801,53.337243875671035,53.418878346752685,55.89198474694464,55.751821938854775,57.47302400255393,55.972894052121276,56.03735524063747,53.864760414708236,54.89916658210175,52.140195569686604,50.28602751758065,51.756573887340245,51.93752927534731,51.047773505160244,53.082306597064374,50.05525259023106,51.78748539917491,48.042031662455216,46.02844394292278,41.59907853393058,40.512732217741835,36.54384853294839,40.253227000062665,38.09659444358316,39.17826437861525,42.56538937676567,42.12121642239181,44.95729696055757,43.379329695847495,47.28839035649075,42.7296076876584,45.45928915242744,44.59364361685312,40.31743551850408,40.34091623680314,35.46291443344969,36.294282482832116,32.34056244025881,33.47441327769987,32.977275840508966,33.40741069882891,36.25859678458623,36.7307497287299,39.99097649915374,38.21162741207422,34.91032031931629,32.317467887284906,30.701256540546883,29.515771541574924,27.86314235256509,31.18394794604179,30.42210141473749,34.41093790135421,37.03259420870197,41.78449066452872,41.25388199632452,45.5983971850505,46.6275786185443,47.28469347810843,43.51847700310445,39.55777063579332,37.30054459161646,36.05305928256294,34.427236503951065,37.28471303969522,38.14070918917542,42.809642759748876,41.95874979750524,40.196163733774064,43.402485419404094,41.539915715681424,38.73182740013035,37.71574604708134,37.446662890789995,33.90295162662557,35.09454755251943,32.889263246530774,36.5861535115416,33.74399343743604,35.45754338194059,37.82887447225676,36.88838419255895,38.50767907742368,39.59649693325632,40.35029814727773,40.80759516305009,43.29892983840704,42.08918625102641,46.61089477130985,46.9469317452268,44.324097430131005,46.65073309808779,47.601675444181765,44.766237361188544,41.5803621241547,42.35309672977793,40.88063821371183,44.593270403447214,45.95478758781617,46.64024574133282,47.075673027787175,45.145243612237074,50.24907400804561,50.52042798637183,51.32206267612982,50.18653401904733,46.353472853531464,50.784296634935984,53.17762087851067,50.55826837440926,53.43333438346072,51.864921357366974,56.57755082478836,51.997060643574116,55.68559998081869,56.11959876366003,53.0447753200315,51.964041686631035,49.560303043849146,49.680319650039316,49.43838589118319,44.54191693407463,45.265579813280475,41.98310069826849,40.886641628326124,42.13549641087165,40.43596041431627,37.21695601401293,37.14465370516693,38.62374355702376,34.519171489925064,31.64743095739293,34.46946827736061,35.19748087450215,29.308634651918243,29.462199904398393,31.257649371693482,28.25286457815332,24.960975190817955,27.65522321438283,28.77133457217518,32.62846704723429,34.38553229351897,35.81983483041124,37.892078255494276,43.20933240602498,45.13726259759652,48.310994765195275,49.11389098788091,49.25946961727664,51.97491766411888,50.11887438211802,54.51424484820939,52.769786181889174,47.618666707425476,51.277645213410594,54.081847717385905,49.801607200052445,48.60747540976033,52.36285197704026,51.229392231608855,46.76582024638916,47.47542172741714,43.83604499354035,46.61309587642345,48.992050253079164,47.06592380499576,48.97833238528566,50.275431614846674,48.15169398342299,44.92648996629451,45.152510935506925,45.22469683361493,41.32784918749308,39.66925843356522,40.17865430201597,37.72786730146923,35.094110135571476,38.79746604436549,37.885962128771226,33.14997242620899,34.76412445136233,38.37839692038193,38.52054752175951,42.268064497361365,42.742858735458555,46.395480012476376,43.60973795419612,39.22470764768537,43.8702902313758,44.40545104463659,40.91850428843163,41.16012949964983,46.510643615893215,44.079976185733905,39.526579459779875,42.95144997895987,46.53396538675693,42.082556163308276,40.54593685339212,36.110928421945346,38.84854873050675,34.99473709336273,33.423395811508406,29.696815576702967,30.62535634005234,26.656735638228906,26.08611863521815,29.299160372410324,32.44099040745488,34.259015520930475,35.71986493409831,33.20632457700888,36.89659475001913,33.348880451013244,31.143355976172575,34.76037682462614,35.128621738734296,34.18445866120906,30.846203013426408,29.76413728157644,30.187999238757868,27.952862679845612,24.45428862401063,26.302633355642094,26.028718774720723,27.78211603475295,29.10723906029661,29.243712510821105],[18.529107153543755,19.097091862381536,22.43487560459578,18.363433025552023,23.791350925249873,21.850838284109585,23.613194106150065,26.895390893612007,24.356429863521573,25.712001512914878,27.22790170270025,30.173930485871786,31.000356844847467,27.88042045187576,32.56087858950866,34.91598319718933,33.54460173670054,37.28679547356072,38.81381387635698,42.154813216280765,44.99235633902184,49.18393912385216,48.81195119749465,48.346891202191856,45.66456228162495,41.672746442577065,40.60577815369325,36.91832022808818,37.98108056331792,38.069914933597204,39.767262272287894,40.348028315592074,43.1015545446493,46.65885231303768,45.09268124472211,43.31432771258026,43.09102409761765,43.31130690158431,43.21162282034401,48.99367202273224,46.47480340556266,46.10540252119646,50.594745745023864,50.140444759690034,51.367006930953266,49.53898400582915,53.334953971392494,53.69188959162737,49.15622561953829,52.716890002733464,55.83500597889643,56.794682732308445,58.02432520172365,52.96686764052201,57.267091441814934,59.97838871093809,55.968257048650685,55.279451347175154,60.15544840947749,59.87321462900502,55.58762347938809,56.2519424461738,54.09364242824262,55.15177413067298,53.252669754217855,50.049129676657756,45.89945527188507,43.158281066999315,39.5397503732103,37.17003554509845,35.70223991460121,37.06572244991019,39.73832104713853,43.47198520759574,43.77251718013914,49.977293058519656,49.77549125570324,52.59757014452001,52.217945571588054,53.664775985279334,52.29282960894824,52.04153815203817,50.22466538460221,50.949948221535394,47.93593762374504,46.34030794516545,47.7284510683146,48.4074514785464,47.328253949009174,49.915900776933334,46.84250859105119,48.81833930352072,45.25991532105384,43.5122856133125,38.97164478769781,38.28492545790281,34.15905954244602,38.00488227631016,35.95086246165031,37.662040011710296,40.224732214880525,39.93107247874128,42.14220561720739,40.62450718728313,44.08882790431345,39.52036419616778,42.43762270936753,41.31411925785876,37.20177479056142,37.45314614367567,32.4612098879672,32.78308352523411,28.924257738926435,29.405095200802453,28.91435906938717,28.819545510534518,31.706817991607284,31.723240654593234,35.2065497585416,33.887293784276956,30.45833580106349,28.037896750669837,25.882688245469353,24.944987032272657,23.732715046262648,26.800118744042386,26.875274826341546,30.530215225639033,33.345741030123605,38.082040135284934,37.35049954302743,41.863836673453434,42.462184804222304,43.40145246960051,39.20461259461375,35.219751284963486,32.81250490103669,31.243019078744236,29.343297253393093,32.2870752585019,32.72928067127099,37.42212503121887,36.87440580987797,35.27346563097846,38.642949735894106,37.19711261286467,34.33545242912756,33.829147484612214,33.85082039678758,30.742218446155515,32.45681487462535,30.86832442887021,35.07245193713062,33.0735709454613,34.32877087551564,36.097041623196425,34.54994745066176,35.9965199286669,36.601297441891276,37.084803669496466,36.81093071008585,39.22683153279473,37.44905036575271,42.1085545185266,42.15502835136065,39.183885201063596,41.68299238072078,42.381648121387094,39.70718504061399,36.46859238359597,37.50906073435524,36.07835043465646,40.06756479133746,41.7086435747835,42.65721465275794,43.51868264513484,41.69568246098993,46.979620933545256,46.73816706506598,47.646214145843274,46.006137402260585,42.54474160856158,46.717744898708645,48.8888445558051,46.090367397369086,48.8152002167011,47.164846534512016,51.68295220533778,46.88496546189274,50.595620143052585,51.06425398423812,48.17163655518242,47.17652823316439,44.943441892815315,45.293593610917526,45.25463428714902,40.451084362303035,41.594235558790196,38.5845753738741,37.75737880883884,39.50137481803422,38.106451033669785,34.55001315250385,34.58301779478745,36.679305999908436,32.64072751203635,29.229332464592222,32.681230418529616,34.12169129037922,27.95938098779265,28.195951813216215,30.66418081706421,27.871462792655517,24.216854469180337,27.291729630447854,27.678407001773998,32.38023807453521,33.0046266977183,34.42885338797838,37.0568817737085,42.15589856565457,44.68952640820709,47.37771300323235,48.136076085493485,47.84896774058352,50.430226261154004,48.30200427630045,52.49100960605604,50.829614538499825,45.344460125596996,48.813819553174376,51.52679365717866,47.14713037389091,45.693976518486295,49.19577578530855,48.094521493322475,43.6607143185666,43.87966411397366,40.72059606897214,43.55078485193487,46.232026857554175,44.84179606217807,46.89123408060809,48.72913525952223,46.36089747361503,42.87981994653517,43.8233024604272,44.059774755180584,39.77110389777441,38.313220331078455,39.49197556401424,37.191388905142574,34.31065350898539,38.38990574454253,37.99354387288502,33.3274872375717,34.72572586478375,38.52779384532968,38.15488968677366,41.65815565629903,41.609679303258226,45.22167673562783,42.7797260684501,37.90588400276921,42.17913315536,42.9065182425252,39.41733155716109,38.98868293808257,44.45664410431084,42.24200088912507,37.28108573898045,40.26242347635381,44.118005062819556,39.724462323904866,37.70864920851267,33.39666600170631,36.20412367475188,32.51615356204311,31.642759135385813,27.376052386716715,28.43206034240318,24.465130254312903,23.300996792590944,26.1933568035554,29.164492381920365,30.75798763815401,32.6716650136932,29.845361134647995,33.53900241748131,29.800880454751404,28.391464942214704,32.43128512228303,33.418951859042565,32.45129366550201,28.59789756223164,28.273610847888914,29.255667023200612,26.220350727466517,22.953446388225935,25.74909776434065,26.30402101586798,28.36166201266869,29.64665760749898,29.906688688745255],[19.251879114948785,20.362628410425792,24.29274314177959,21.14293766196562,26.984387372792945,25.490443291733023,27.902153702475356,31.19004142377681,29.14628843141445,30.958790426734186,32.593314984615574,35.266130892626016,36.3095293023754,33.462285069186365,38.16485318556397,40.42472149061804,39.11735822509155,42.98171767102262,44.553886295038126,47.797414198190644,50.67295432936061,54.7961709726809,54.433042814006775,53.84593130440411,51.12340601718906,47.22153496805767,46.049064906703045,42.39803239048983,43.50597572664045,43.47255564951742,45.407573865960934,45.69927918799325,48.48002528018011,52.18343278186278,50.56073614655859,48.86701775337097,48.40389166468156,48.7076554696558,48.46589878462385,54.08559052386977,51.61825322881541,51.55439112741326,56.01243590206811,55.43744470023246,56.65176369108068,54.65963966301324,58.39237283796822,58.83997722775407,54.18436438778476,57.52360304103972,60.82464356740043,61.676525728475625,63.07788620039587,58.06072723014749,62.453252611855554,65.24261016136676,61.308719420088366,60.71328543280722,65.60743599092066,65.33104861575237,61.165866637712746,61.94893119622496,59.82457406962591,60.94376828826139,58.965814262323605,55.731773399045984,51.69419865625603,48.943015775980925,45.38498103622361,43.0202740487168,41.58256342443681,42.951471128305215,45.618107266714176,49.35681494871581,49.599988123920795,55.81115364526012,55.53015332338326,58.310668850250806,57.847274276756764,59.22169192225224,57.6649370928704,57.26719307698026,55.272372794565115,55.827922210435645,52.86183008846244,51.477787597706666,53.1108935117732,53.748885257766574,52.90745245325802,55.49707699015279,52.537056689841805,54.5747535714145,50.96789144184438,49.09974378553426,44.5377146465356,43.829314357591066,39.6995771768853,43.31667714756959,41.06339382476673,42.333433610941725,45.18700778729154,44.416220558168696,46.91816174779001,44.94582780134668,48.282933312871364,43.49800240640497,46.023062460960304,44.63711131869245,40.335587393662465,40.93211420163761,36.025123014006525,36.95133163341329,33.386856626421654,34.11101002234983,34.12268021173122,34.039040014581715,37.147094687023355,37.074290386122684,40.83071785843068,39.58605924157708,36.16784213551362,33.68480937930273,31.320786030531146,30.183738111298215,28.69939940617429,31.30198174490955,30.71769902331355,34.43797774324872,36.86646127756423,41.78645787191328,40.52792476220602,44.9630942574318,45.86638424311015,47.116295505261974,42.95205433064973,39.23926315679006,36.27661320438703,35.33205367417033,33.771661783778384,36.991348515285075,37.54970275924124,42.34210187810876,42.077139641482695,40.37306190494837,43.77463080649742,42.45358348211848,39.48487073949273,38.90683283935558,38.62218363664171,35.47184799215423,36.716883985082596,35.209221852456075,39.052349998231676,36.84861989644716,38.64574967618525,40.55876181953339,39.30653707871671,40.47662191095037,41.492403027008066,41.575261716079844,41.45411185706557,44.237639188098974,42.318342735950765,46.997979650898706,46.66763717045002,43.5319846910205,45.67376144768009,46.14688896507476,43.18487172368067,40.27269458203007,41.34890587361052,40.33047711710499,44.46617963315536,46.24717045722265,47.383137948891374,48.162846196380855,46.63582142938965,51.766503074400774,51.56244362455645,52.227736615470995,50.51526998286849,46.79259814364063,50.75549419934236,52.85485643011791,50.21122699653314,53.324792134538406,51.961979493326034,56.34375291672973,51.397713447313755,54.91377408527701,55.08165265641064,52.25545807419879,50.84855321523274,48.41815073488997,48.51646629325278,48.066469117325944,43.22308198999521,44.05864837788778,40.695938005812025,40.22170737611838,41.32823242155096,40.22748655649916,36.90780821093902,36.20088071951919,38.049075871662524,34.346503908335855,30.621268625361473,33.499452845233336,35.06825776580716,29.041294928923143,28.621399448355596,30.736250031629414,28.417695594675365,24.472773157101095,26.63292903028266,27.247015247366242,31.560451158484863,32.177720712794816,34.19154799175056,36.56001991755183,41.68157755175297,43.73320034770504,46.82524482370186,48.11792543797061,48.251903633148686,51.172990742391804,49.55102027821642,53.64275989763597,51.53429479364941,46.43644156413485,50.25598574106853,52.594209290084905,48.10969063469662,47.13197449689123,50.78432192394763,49.1308230912619,44.69340665064131,45.75816830593631,42.36314211372509,45.811908529235765,48.2255672090055,46.56926399816126,48.93996087123409,50.53041326597649,48.67743285299828,45.02705100617802,45.43056469167361,46.041469464039196,42.04436908370336,39.99321774740655,40.984803612460226,38.844458198617815,35.70829742124464,39.26737611467633,38.82501451575862,34.188237464061125,35.06865950897593,38.63509264518469,38.33340837423263,42.118660061588464,42.58568054395057,45.91764323534362,42.9247365089886,38.464742365258644,42.97278999932578,43.113864203998126,39.51825246369064,39.700388407552566,44.80289541602318,41.99093203163021,37.425805726741046,40.859026332526945,44.10294777313013,39.35655909661211,37.80851879620096,33.51929471086446,35.62832125354286,31.649298914642856,30.534718889708778,26.982099423845057,28.669439370795754,25.21852374060641,23.683505255640767,26.938015648274607,29.650323317919753,31.863016743804373,33.88925699022816,31.96746581059974,35.985961138014474,32.84935979134417,30.93482503268798,35.223826672268025,35.81713257407925,35.49141484474347,31.598391237875624,30.444062268332495,31.66126468458172,29.49044642779527,25.414928875072118,27.444135798033898,27.754515599995795,29.645555468311084,30.82989646762591,31.100139833184443],[19.558057886557116,21.053653711818093,25.29578646715039,22.873368322921387,28.850051119565467,27.42700692462453,30.208007232939252,33.38071723647282,31.640021600474416,33.79911618004094,35.46333910572317,37.89196830151067,39.169638721105386,36.55336495761404,41.22820873444622,43.41697077156466,42.254227928849154,46.23085696037865,47.95864515012771,51.093915248548036,54.06373293231644,58.14254402498466,57.86723047350811,57.25778699876389,54.46251921836176,50.60389923544942,49.29434197565268,45.60989780366261,46.63986697095734,46.432060114310296,48.50249111604352,48.53343367492382,51.29627729457981,55.136716197780586,53.505008081171695,51.94165313287467,51.2836793784998,51.77183124299563,51.49328794361401,57.01686626088997,54.686628431652004,54.77381362904242,59.20508980637828,58.63497448183257,59.928326797214275,57.89691727461644,61.60490319640269,62.003464288959876,57.27485866930516,60.48682572660707,63.827380290669865,64.56723332485899,66.02886576681507,61.03168246211665,65.39567626949861,68.30388981510569,64.45707616446003,63.827403138227396,68.73620397693495,68.55967029691809,64.44789661577549,65.25213768645317,63.09945326001866,64.34977528759698,62.34922373704836,59.03313125602659,55.1130627411748,52.28088089901796,48.83762649669745,46.396727977789695,45.05347995053263,46.467934954194675,49.03866758000602,52.82730644058388,52.92484517814378,59.13445029412503,58.79579127803206,61.48252328330354,60.974551873002156,62.336768428509075,60.613524062472734,60.17574857320644,57.99265350104205,58.50158047889839,55.62701551656291,54.322125321126464,56.139585434220386,56.652184804343264,56.02581829414569,58.532838299235095,55.68445900430122,57.76926985233585,54.10149374301761,52.100660271820495,47.529439169116316,46.798015758260625,42.673758907385135,46.076532854760465,43.67350478255837,44.59221615801802,47.691958892903344,46.599639541148555,49.35075008250789,47.101822059874316,50.42623641431612,45.54260182011272,47.80841257590468,46.341604496657865,41.93663214474177,42.66474721140409,37.859240903001705,39.19065421801302,35.789693259956366,36.76700454656113,37.0666930113747,37.10967713534262,40.351099869957,40.36115746279343,44.272895898895214,42.93933921890921,39.564764203075946,36.97698800749447,34.601164452730586,33.26819058762008,31.536035531286256,33.93528359957786,32.84475976054303,36.63553103944561,38.80972700733024,43.793664807436606,42.32661546461719,46.654305934357424,47.81269088625418,49.14455200501784,45.123108556278815,41.572605780216584,38.39839348543303,37.85142491535603,36.55255310915963,39.877179053461205,40.65646435437036,45.49611390670372,45.289187174817904,43.459550772337444,46.82718123227085,45.475409399923834,42.45518947455097,41.72404387568544,41.203507673188184,37.971600039621016,38.86454586342563,37.341097336879116,40.89124708441126,38.519590576096924,40.67017967955273,42.70338956495071,41.70010206545139,42.71377468092875,44.03977739308582,43.92504701491721,44.030949802185,47.03978343802819,45.17835439280779,49.82434293387777,49.35912841909865,46.257714822668454,48.14963394781466,48.60008421026796,45.4545125290333,42.72847668952367,43.72662483196253,42.90598848371152,47.026022647081334,48.80761181636683,49.988172377155415,50.63183916850936,49.269466762355066,54.261980746037445,54.175486591424956,54.672984403413395,53.03255218165092,49.090490406851195,52.98446292006596,55.09487941615303,52.589232454881426,55.95055082580643,54.78048059946359,59.13566936678436,54.1855077881303,57.58078759956976,57.57544006843143,54.72878685602956,53.08844889081638,50.516198871604935,50.42280803162958,49.71971123826527,44.85938198498995,45.431871769716665,41.85851034761127,41.493155941604016,42.17023727877262,41.16241912617021,38.05888358669722,36.976624577841854,38.554798599301044,35.0508345638937,31.333893710437952,33.75891160627525,35.23674810190876,29.42058024631433,28.665672338202903,30.439990137777052,28.37657478379675,24.432954313790546,26.00224350606083,26.862459222241842,30.733636492093787,31.581465521519533,33.84660524654466,35.94038125507205,41.065712186554265,42.741832214741635,46.10538616819072,47.65887016513163,48.08475032215697,51.18167078454312,49.87651809891308,53.937894381807176,51.60437671594197,46.80185501326175,50.80844805255639,52.973538015288526,48.49150873934316,47.807509973664665,51.572527873676925,49.66588955506139,45.2502695170542,46.82627454993097,43.221083468088466,46.92825691085352,49.12676426538186,47.23609745415642,49.72822302118392,51.083571147241926,49.555554106644045,45.88475257449386,45.88048444561247,46.659915170567366,42.908926342559894,40.531727836811974,41.31398711198469,39.26172424575064,36.05802541023704,39.245598856200516,38.71407180774891,34.14265297115102,34.75975997618714,38.13086813581331,37.94832418153905,41.88169482589799,42.69847229106181,45.86767000389234,42.558374746639416,38.44107362668781,43.095442271305714,42.90927341587561,39.296631530381134,39.918179932953436,44.77503693749698,41.658321134328396,37.42277314773965,41.139778655759564,44.00804980767522,39.13502399369607,37.94327342894848,33.68275400711833,35.44640500102878,31.354921622556816,29.944517206306635,26.92716369835555,28.827133520755048,25.690440413163067,24.180780311551914,27.600249186485645,30.20086819834247,32.704722017695964,34.623890710018884,33.21815219443783,37.34029201760827,34.56691660268899,32.26489937996904,36.549059255716294,36.82982254111269,36.85214996532289,33.05922190006573,31.37634458250154,32.624758251117996,31.04861065767748,26.591737773302235,28.055210360484068,28.137068180969948,29.8744267507865,30.993260435366228,31.26149930449258],[16.139523342024894,17.831269152442456,22.2472972075848,20.118743458754288,26.14861856602422,24.294176219778734,27.22433937836596,30.20443829663908,28.598107266707586,31.05894121925049,32.717194546942736,34.91183985389623,36.4231245688912,34.06581512181286,38.67952165084442,40.77828198737368,39.850952296650824,43.96347010026026,46.015691884327865,48.97823224349257,52.139064186325115,56.17758572401177,56.12149326707267,55.61386324045551,52.67348712704582,48.815448098834196,47.281345932015924,43.472437838698724,44.26863116036915,43.80154488470204,45.971406092995906,45.714561812812825,48.4491887497836,52.4218339488918,50.795522458887376,49.415992250308875,48.57418428324252,49.376288095016776,49.17694940965386,54.67992018913806,52.61705209348145,52.68843097793528,57.091985283601204,56.68887067671237,58.20480904076231,56.2944716286551,60.03750216233001,60.1793359006371,55.41959210085061,58.62708884511896,61.81174776380958,62.42684035136233,63.800166465333994,58.79458809235973,62.97461808399205,66.0687433247734,62.33380849830976,61.50594323001228,66.42742965799712,66.48654699314328,62.35951673585149,63.08374844243591,60.83735508592476,62.337404516218726,60.36028441613121,56.879804148303194,53.141236950221455,50.13216226128769,46.92674287917945,44.32175314350705,43.19247632127695,44.772226771245116,47.07972489784569,50.94757882929247,50.735445966282995,56.934874852494474,56.502273936462586,59.03183905902331,58.486916741604475,59.88348584385236,57.990381038268175,57.62476853977214,55.2323351641007,55.84060220721792,53.107794594418365,51.72363765119978,53.67854109443003,53.96531482886862,53.564141367688855,55.91139610714989,53.20760696527303,55.3739888407668,51.636586633776766,49.474756972875795,44.889671362799604,44.1912843517341,40.05837129554058,43.19862626321397,40.663759069734894,41.34335449431812,44.59707726358007,43.338390349992906,46.27675167165737,43.945498102950815,47.40805690930863,42.53891931598157,44.76188177604731,43.44955829871767,39.007974796146335,39.5820839214356,34.81796937924174,36.3171451891693,32.89849154588315,34.17692465636216,34.58328205808198,34.91677093603916,38.2420650195604,38.5693704847795,42.563295710231955,40.92005737874673,37.654144829945956,34.8709237774754,32.68699316546663,31.078004464015294,29.038078893006105,31.510522030896357,30.020403924858606,33.95893167579541,36.085158570781516,41.04242691951081,39.797712526086784,44.04878150858387,45.384108016145355,46.48375924898477,42.7122280188098,39.136596431534976,36.173891261303176,35.73432792012807,34.62458266135684,37.87705644716898,39.0821893072028,43.93124045815694,43.49362798927635,41.46916807517933,44.717306879440414,43.13640099947456,40.113272945454,39.10575327581196,38.39933332265954,35.02095926050072,35.6926293070047,34.06103966131273,37.463913952326436,35.02012419614724,37.306329225095055,39.39397513924273,38.55397022700997,39.527042856073436,41.05699183338385,40.95510334951636,41.38266740833559,44.478649438830224,42.923725532635444,47.47893862900409,47.18805807737796,44.38162941873834,46.16829557558012,46.89915977237678,43.683440753477846,40.91420738341133,41.67503286621664,40.75891716634297,44.67211905628961,46.28023008317322,47.33128200507176,47.77426256840799,46.42436630609732,51.31219656526356,51.43214788656646,51.855103313473,50.46377942320324,46.335147894767495,50.37721599855879,52.62782203899748,50.2164451548663,53.652653714962845,52.55455460256017,57.04595240399476,52.28298989695088,55.66588665852961,55.671865276917764,52.65657149954338,51.03147356462857,48.37962358680683,48.19383101470633,47.48910523589833,42.578351972062876,42.99654697051533,39.393149964967975,38.75004171434459,39.40488109513567,38.15512195829721,35.122157592442974,34.24498193940184,35.63949825524868,31.97780323554877,28.604408853228016,30.986000374394234,32.132429385874445,26.33373549901811,25.80836630873772,27.497219587495078,25.15233489629078,21.402726506848037,23.294894988235672,24.355772580892033,28.129249508748806,29.52074063487464,31.43264972350186,33.43480474057409,38.67645522520847,40.40143602998925,43.73676277304602,45.01160802349481,45.40369128809408,48.40474943969348,46.988720180252415,51.19060421485405,49.0250001188422,44.18409904985166,48.13490097978523,50.52721619586045,46.14397563475234,45.36802856929229,49.2180797084259,47.57286288924594,43.129257000502534,44.592990913299765,40.793386366572804,44.22573985106729,46.37236203193778,44.329636594966686,46.66042767943224,47.89982821973007,46.30614874098633,42.765653093008,42.67252905530537,43.30043796617372,39.587528103790085,37.295910562389636,37.942305835910496,35.80874609224163,32.71907042528318,35.981721591171876,35.34254619764132,30.726692637111206,31.566435983627024,35.005620708296405,34.93762768712152,38.84858166117624,39.63585124481818,42.94627372991209,39.748143116855225,35.606684540881524,40.33106141140688,40.348583164963415,36.77706311324307,37.41120470078729,42.42149210537807,39.53130356821563,35.26332705338509,38.9939864056078,42.08110973076055,37.39454337996277,36.20061069640604,31.820152060645206,34.0566114853754,30.05381937422568,28.321820629564808,25.109224727682818,26.53383563117621,23.10073241388354,22.14928030699939,25.59075804456439,28.4909226262812,30.785209925128584,32.33986540040273,30.715237723579254,34.72085811337407,31.874313037008882,29.311064617027263,33.369635980905834,33.51901299970427,33.45719525207462,29.82254273741811,28.038377217833535,29.114050606522902,27.656354342153907,23.20715402377676,24.563515683907745,24.564529500276404,26.32517062197021,27.504790948736193,27.803426051081754],[18.195984424713867,20.663572085315316,25.422991362345094,23.86843382896773,29.810966714807556,26.827877281471558,29.71072958531629,32.01896877342346,30.075259772630396,32.85993134420894,33.95000431246241,35.773448610795,38.10618140930806,35.74164956581357,39.92099743140871,42.22165694841475,41.902017700986676,45.93665989987845,48.33161354764211,51.36767430717343,54.62587440378312,58.78583101359171,58.85457962650345,58.64202722557284,55.725170524250984,51.71251915843038,50.20146419391919,46.201626438946356,46.53053296683685,45.71604462620179,47.25710792311005,47.00306507775331,49.27960332653815,53.41368646025651,52.21988124874713,51.22137375752273,50.48956238215227,51.86155827700536,52.017357283737965,57.693538301504624,55.892872826910114,55.5122529436343,59.92977421956484,59.87240713398705,61.552501450999124,59.91419222344645,63.74068038633662,63.63847755059138,58.997806582585625,62.418119829589635,65.2954719681084,65.88644233011645,66.98417866805774,61.93414257304505,65.73169555551854,68.98071332579104,65.27382797549406,64.03170989473843,68.93320448785883,69.277749320026,64.90477106821467,65.20968887574129,62.6710475106059,64.3199504061956,62.666144217304314,59.086167460134945,55.19179001496959,51.96383028015409,48.81053803043248,45.82303148262706,44.83116719721423,46.12389267548561,48.29490972946987,52.468336099417705,52.1059179284591,58.16873597205186,58.141336418124204,60.34968752143484,60.145030794831065,61.8843370486907,60.03304128033019,60.10044370277935,57.50180543158897,58.541914850741975,56.024274861714886,54.23655549402033,56.0651547564009,55.89410879525421,55.47335317565238,57.23974206351735,54.47761680432751,56.29078696146446,52.41632655269616,50.09835329644655,45.689872452284426,44.55240361521422,40.64097970704298,43.82758398164624,41.36945908038061,41.67385642060952,45.61283557129625,44.554859053104316,47.93946561544078,45.883258492730725,49.8721112641609,45.1866990429343,47.45850402495055,46.58123403553861,42.12627526579071,42.248632538386744,37.59150313163039,39.180038611125006,35.493049167647655,37.19882469422427,37.214901136527104,37.99192721608226,41.087754698873724,41.835568064308085,45.36890625022133,43.302131025025474,40.13748730766626,37.29629138341106,35.752014398158686,34.1361538447988,31.95265828890183,34.96625707014761,33.18476365113107,37.35829204523327,39.53798524020348,44.36046271221993,43.63548060447007,47.75105146103421,49.29456765444452,49.9379563149367,46.55640682348274,42.84452663562635,40.369828986213314,39.80227695084051,38.67476346276589,41.6644453219451,43.058759019010026,47.810316332133745,46.94143018080283,44.890932933862445,47.979446503533474,45.94737865207539,43.067321722998386,41.65638841419023,40.9060557776238,37.151311058852045,37.61599959116522,35.28297212528798,38.334255548573985,35.07693918803327,37.492520890721806,40.14790166458202,39.77157100304403,41.1249353517831,42.85289895729506,43.32048315883297,44.34881763395181,47.23280632266872,46.2937718739941,50.70488849708125,50.9299083830731,48.513899014943334,50.398562439773755,51.45691796290024,48.29839627179291,45.37746466620298,45.91108537010587,44.69966747263955,48.27237159524642,49.531301028720016,50.201796085294255,50.287259061390166,48.619053266272644,53.41770511852858,54.02404846756913,54.51398525274446,53.66144523368787,49.37407841044313,53.78320409112185,56.2785927659609,53.93558180030293,57.23765726851019,56.010090094911085,60.75573805577882,56.274176422787505,59.76769923274996,59.94151215934312,56.74132073044002,55.302977294796825,52.63202137420511,52.39721543478813,51.750642596932344,46.803416364144596,47.01143047468178,43.377886513468525,42.283226006266545,42.80302782291288,41.08773224297166,38.2988673909268,37.75111638504511,38.6298065293042,34.766181255482245,32.188211000299916,34.19436783896054,34.47552915197841,29.032812172915982,28.797919663690095,29.882547393276763,27.097579597425913,24.05956042146057,25.935883320677192,27.65483775770938,30.56560054777192,33.16760540724049,34.76261745305085,36.25123633201186,41.6316984802604,42.89372252163706,46.5275531509943,47.57423423219528,48.21957131110078,51.159191741236256,49.7775890033607,54.21739465419461,52.21792822174207,47.56691381234985,51.48914733266173,54.15289718622957,49.960062117451706,49.19909889918282,53.18620395427433,51.80286474176967,47.370682149071996,48.844255258159684,44.75222231506076,47.76305475003091,49.740714798235636,47.31170410926499,49.294672491569074,50.076848801200676,48.46701043168908,45.33611022341605,44.771487097139456,44.990658095346234,41.58426729334657,39.44873912926473,39.43505271023397,37.0634968469128,34.46203029325407,37.53088464779866,36.314569935099705,31.682580699923268,33.05762970078628,36.33638770720965,36.84070193552051,40.82033016739435,41.907367280664246,45.37395075853747,42.12571372494996,38.36909094290549,43.30358587000143,43.4202941872411,39.956372450318085,40.965500698389455,45.97937022634598,43.19556716878061,39.208584973786074,43.098491799157856,46.177835287169295,41.65730751317356,40.71356170424012,36.27931436460504,38.72393213983335,34.76227995843223,32.5239224623038,29.589096647283704,30.555110864641705,26.945847293683244,26.75910419782614,30.216770808372853,33.32947299028842,35.481779731497696,36.5570846895955,34.75370934401279,38.523394778875264,35.529048514580616,32.54429773159599,35.96003905545048,35.69012498790268,35.247684895115356,32.25362008341891,30.210231735324534,30.49408457341709,29.402509930083333,25.332404815066536,26.057645951261104,25.216207191640283,26.642735003196982,27.8818086572641,27.989629759345142],[17.553031186124954,20.25992755812747,24.97297895021351,23.634137532111197,29.300094621549825,25.384735330004975,28.0839988199996,29.84222676464193,27.67136059616928,30.66799914848847,31.371777569659685,32.87589724221779,35.74447889141993,33.50334202141339,37.331469822418924,39.68859312638206,39.84048168656839,43.83516676906111,46.57442817021415,49.5389640046913,52.922303310709665,57.1076450330195,57.36657132212376,57.396673131821544,54.44262025293774,50.36535905403143,48.777559872568915,44.63705393390065,44.56091524102693,43.44344591886052,44.61989854752697,44.2743929413954,46.257139358881126,50.493989380739926,49.56146301067033,48.8615473322604,48.154619655048954,49.981565234700504,50.40931031757729,56.16566738278675,54.65220822919282,53.9449821046566,58.32946901916991,58.5796913513859,60.459519686983526,59.083340407500756,62.960159957977055,62.57002005354919,58.03792561137474,61.60441574533288,64.16730454869209,64.70731504447845,65.56136611554432,60.49628110009407,63.948620973512234,67.34039006587496,63.70787555875802,62.12063207278243,66.9883062060719,67.60942118326854,63.09073389122358,63.097931896012895,60.35735309026995,62.204759394254985,60.763669483542834,57.06706365125556,53.19815182603124,49.77642383690103,46.811493147362114,43.54692737566546,42.76913994162177,43.998377237689596,45.906308558992926,50.2531167950797,49.63524050338262,55.57704809655809,55.72728852254964,57.67057547587162,57.64914395917983,59.600227191766905,57.73737944555978,58.11726196374923,55.36138107053573,56.72959057286114,54.40447438616932,52.30982802966878,54.06627726567249,53.5343709428826,53.168752027295604,54.52007279337947,51.79686288039566,53.443403810142954,49.48908085920566,47.03369080083468,42.7498360576749,41.40343007219842,37.64484574322048,40.72754184059979,38.30748239483421,38.38352088982869,42.69128461080339,41.805886743209776,45.43198640201988,43.639412609372435,48.00616489976077,43.53151982233562,45.91855584029821,45.445619753117704,41.063477722314204,40.748053470292554,36.18791722571696,37.713351486556675,33.83184370441733,35.85642081804564,35.587874358405,36.76317280476223,39.678679493388714,40.84953729301826,44.07357621457204,41.60347513053175,38.604331211232456,35.67624753429813,34.67653842325009,32.97150705319515,30.63692928325251,34.04593944398243,32.09668087062679,36.391952430879165,38.66297697060507,43.29238028213457,43.12698731663786,47.12550755808401,48.756116971938724,48.940133004938,45.90889645909888,42.06968125984844,40.148460452772255,39.40322792284562,38.29656091041976,40.99515742262368,42.67613771206682,47.29831005926469,46.015483267728314,43.892212425091074,46.78488005225411,44.37023084708608,41.6283892413498,39.87479795222602,39.086939968576836,35.09465977264777,35.446803498219204,32.64399835539021,35.495684133932045,31.80434641060642,34.18561957878647,37.14181224693078,37.04041084558351,38.661227421184535,40.479280422875334,41.38615431375918,42.86689618182804,45.55146207705152,45.163411865529085,49.39811795692657,50.09387056960012,48.105268303989945,50.06820275939917,51.49416307049256,48.43701835382219,45.35221718945296,45.63117229407902,44.11371525780582,47.3200451691273,48.24889924118989,48.58493173027195,48.39114128107127,46.481316172987974,51.18366046988184,52.15165855247689,52.70811991560447,52.30489170434292,47.94421055387277,52.65948367765846,55.361922828992974,53.0714172753804,56.20383352645117,54.87178913190212,59.828178880091876,55.67131650811846,59.243796614107374,59.59790877382102,56.21529758025931,55.013981466202985,52.371283647824086,52.1451041957475,51.66397351587206,46.72032824335372,46.847468266149335,43.32960578602881,41.75631642661589,42.41786785071183,40.247612018919824,37.56012002883233,37.551004026614564,38.1636831318511,34.02283393649456,32.16418037684048,34.15529008864854,33.78422893299095,28.535950349779476,28.821298884860823,29.699802666766523,26.380993569600513,23.97192307100196,26.35362526162828,28.34699621750492,30.95093119482657,34.324039855813865,35.364676688425504,36.66925824432555,42.124846258716396,43.40420697142344,46.96819537081656,47.53502188219567,48.11059740293326,50.82360651888009,49.20793292637056,53.854912552906015,52.2018259221431,47.49450123555192,51.223283484503796,54.2610252297733,50.264667566247795,49.292630501097776,53.31538333387675,52.39122154450776,47.970782292763865,49.08848412968638,44.86394367148877,47.29108865079892,49.243787135883395,46.65613324575172,48.247504518345735,48.82661988025281,46.98243357356812,44.212333060050625,43.56852380705003,43.34517388312866,40.025747781464275,38.26098082190727,37.901240068766164,35.30524455638202,33.150852840193245,36.35170811490464,34.801496681210516,30.150797588539717,32.148312112346005,35.46054863955503,36.27782004537666,40.13438895009904,41.13728088395702,44.8498971589922,41.877769799641456,38.15013697273431,43.096632411517,43.59483006877136,40.26543990167752,41.211847829573856,46.414695775201,44.03631444801863,40.02951762474569,43.806932392816634,47.20306075146408,42.99461033801523,41.98986067962611,37.49257207690049,40.48007849021061,36.70005140371289,34.22372142197774,31.067809146540856,31.381899658916193,27.410345349812143,27.956243710143394,31.271432026599985,34.67161577495419,36.44137547306627,37.07232274237715,34.790022281815105,38.23537992537039,34.9694516469002,31.82796857199021,34.654123068165646,34.226013220710264,33.304701931623555,30.798095373632144,28.871098925177893,28.515699335740795,27.411762563194134,23.909439883222767,24.481396876039536,23.207179409732678,24.515447094212384,25.8730146376525,25.917602267589565],[20.278887273560656,23.256321248380754,28.17139473052176,27.386519270431165,33.18918896843221,29.653964929845426,32.64508797300643,34.417277419920126,32.544920052082084,35.687136157139506,36.456285944255946,37.82582330343327,40.76297389044226,38.63046959236665,42.46036379454307,44.772913632375186,44.93319394104658,48.96860922199301,51.69170505510054,54.63867839889224,58.02747909128453,62.18924186146013,62.43490956227947,62.40875401283531,59.44110876380019,55.38931440685847,53.77282192634434,49.65723747702216,49.62642645300779,48.46548136615269,49.73144544399034,49.25697960123675,51.21479428728968,55.513047000508436,54.581754779391986,53.93590916388657,53.11830763759175,54.98363368130381,55.33670264083812,61.00945262839582,59.512784877785194,58.95768006855101,63.33017308153992,63.514233216474715,65.37854378940034,63.90635608870396,67.76602106309727,67.43398655291364,62.82667138670975,66.28781596668998,68.95590563981378,69.43762661521066,70.37741716053115,65.34532090746438,68.83148362005296,72.26952352097143,68.67499447280127,67.13183122374376,72.00749230213412,72.63352547292905,68.16690623561041,68.22166327623289,65.48965547079347,67.35533794247301,65.88942353660427,62.18802530949854,58.34513046246316,54.932524988347836,51.96347598175457,48.71412717593556,47.9182260267453,49.10583941150166,51.051615869027835,55.40307170804196,54.7942769535905,60.718715081805655,60.86885509609215,62.77661408676374,62.73613392270202,64.66275819117483,62.709630300894865,63.02277160358847,60.16218096755843,61.44458325592543,59.157831472555834,57.17747911112933,59.058160178500295,58.49548401200319,58.24963052270357,59.57293927671178,56.9063414624379,58.54464420576537,54.575079766816444,52.070850117481484,47.81768065298654,46.43612814106556,42.72562430340248,45.686522155749714,43.193801246193104,42.989726148335876,47.46366942649856,46.308359395019,50.10382048622212,48.05503388190194,52.33047079238797,47.75207532294252,49.86360253991606,49.247511581167885,44.778959557418275,44.673882536465456,40.2263824987358,42.098043564939665,38.416509316267415,40.522579989734176,40.50820416053983,41.638516691956525,44.66656504989193,45.740737141525244,49.10054072614738,46.707282510987014,43.68354589923412,40.749122810713516,39.59207582922765,37.83807285346279,35.432566869392396,38.576865755862336,36.31845013449887,40.6200336284134,42.647815818924144,47.360345105550245,46.874980253206886,50.79212735868312,52.62011589680931,52.98587353626158,49.99500300634221,46.32679123253993,44.07845935691242,43.67744570385695,42.725545255596046,45.58794397951451,47.27879916314071,51.974939533814016,50.858733819763984,48.6983068661656,51.627350398611746,49.29820045889444,46.499488520252285,44.73939138798306,43.8025256350688,39.82488856682879,39.91062184192223,37.18964195742673,39.74438318944595,35.938296503931234,38.634675819747905,41.66524450313849,41.763742851173376,43.21180562289874,45.25464420419125,45.93153388320887,47.486645788839134,50.364515371928434,49.878114700131164,54.13127390651887,54.609820197058056,52.51141896772149,54.28196252595571,55.56629960323962,52.34594379794097,49.44866894618865,49.7621956968337,48.48239767802589,51.7806072331731,52.79328712282334,53.23581494125598,52.99056745045141,51.254423813035125,55.84427694504249,56.843924822511326,57.254453071003056,56.82249125806932,52.31727167401097,56.8937912289854,59.55105504743833,57.3633388280487,60.71992101114455,59.552267814025114,64.43551347200214,60.18260588199519,63.64660904492498,63.823496374009366,60.48363812825012,59.03683499018202,56.27665151899873,55.890736022673515,55.14637049662652,50.19932613289575,50.11023051145769,46.38099209814054,45.037464451295904,45.233471828611854,43.265523145682444,40.80276594226583,40.299168279681304,40.67080352852061,36.84382424711818,34.86434976831127,36.357785263659835,35.98601178114014,31.03947073224423,30.850772070495264,31.328911004855847,28.459933875774983,26.028279781562503,27.557529411066742,29.780203961032715,31.80804742639329,35.331663730961125,36.74560385159791,37.71566246872081,43.107300709315346,43.84574353508539,47.76595957760763,48.73940999244147,49.68422780226763,52.62459434918467,51.430145030419,55.98849141295311,54.02937631693605,49.700439666649274,53.650062613810135,56.4138933293771,52.4031078077914,51.7943852727946,55.90914918376755,54.61947083477419,50.24163407921445,51.94779767153561,47.57196601015603,50.37573237588037,52.10057234814938,49.302065232629715,51.07748682122555,51.40711787816308,49.977762996858985,47.161605992548076,46.06135339053384,46.08317719874323,43.07601371567064,40.909995333377516,40.33082939033697,37.89462187879166,35.65294954310288,38.32326862104422,36.68383590275568,32.202180085541876,33.77588891172071,36.76380930757316,37.72434486254873,41.74461721615588,43.19299261802496,46.64253082811233,43.2648578303622,40.004201726115994,45.07813821460529,45.1247222039096,41.7839724516068,43.24174150268719,48.09250634977418,45.303890683359114,41.71078967224498,45.787512268616275,48.68160676696927,44.29751607417033,43.69008854548924,39.279289004464694,41.74655946808521,37.83966075455095,35.13901153905615,32.643737199718316,33.330111281446115,29.82094472465309,30.171130853451935,33.63658990189924,36.812551035702654,38.946649516997496,39.60926786331722,37.953784399609,41.5571194058972,38.707485992265646,35.29238208569937,38.212956977633404,37.50389409355421,37.01358673100392,34.57187084348234,32.127244184746964,31.91816305032748,31.437042083081195,27.535635428735638,27.50852360372852,26.051363377154804,27.070369051787168,28.234107656649464,28.16521137539778],[16.29249155521112,19.657554530512805,24.593121587423347,25.040610423038714,30.57041259784728,26.95601606725166,30.38423609730741,31.811234068843227,30.711769617657854,34.4369473197842,35.412946169616376,36.22333234286532,39.37013778554474,37.96151466728211,41.72929069434229,43.67267397565397,44.09128360516653,48.389761982606124,51.55737539349907,54.05124204336696,57.7314697095347,61.67709083974289,62.285865303510306,62.26051513919422,59.02602885464178,55.144331256083866,53.07360171256495,48.89849642326669,48.630798109413846,47.054134745006756,48.866454568467944,47.65304051180382,49.70287779838492,54.22286410386461,53.11297532119104,52.747655968287674,51.39496416114923,53.67668266961584,53.96161993002365,59.33678923883358,58.304667850760936,58.07962540934095,62.31582892351044,62.60969150068415,64.80131909092886,63.37493905877439,67.1801666569482,66.51453503973119,61.79628153319336,64.98979684951698,67.55692386371638,67.7332820160533,68.69767583171847,63.757182232195625,67.0427322061779,70.79386868416846,67.49168626673972,65.80098541505238,70.66451228430626,71.63087708415401,67.35282566698443,67.49584631834588,64.7507571279483,67.06083649268336,65.47039278200907,61.51777039391624,58.2023860750099,54.58327557200662,52.12072922745949,48.78058190943377,48.35489978577003,49.955599774005634,51.435834012237386,55.744151741076635,54.58424070486709,60.469859401174084,60.218072117558165,61.89994841787711,61.594846949622685,63.38479301541457,60.98720149832682,61.18369172949777,57.9159081632255,59.108587635642536,57.09660449406208,55.27143668051542,57.58538901965678,56.73576501135331,57.091790023342035,58.3105295093467,56.064563754701226,58.02670962232338,54.00350154098983,51.207556977785565,46.92456095232696,45.80233990451803,42.07255957152407,44.267563410963085,41.41385077648673,40.544510840137185,45.184134106074346,43.32089100480014,47.45863078579329,44.903078229528326,49.097720206336454,44.49170199125223,46.173488483377945,45.59874795173488,41.09724521388771,41.02419608414751,36.88753456572566,39.369697221650426,36.06894614518178,38.675941417420646,39.25394748086404,40.732712600752315,44.01304692378043,45.42658761544724,49.174436755604674,46.47776793229569,43.682887033952575,40.46857000103923,39.35153730882191,37.09117540736329,34.16197811837047,36.889509433831115,33.718796374079176,38.04705618472748,39.640156299662216,44.25735693540435,43.75837876751711,47.37015329142876,49.624449701558575,49.85356069776658,47.3460295054502,43.956548234115196,41.73561579322575,41.93045563369322,41.53301860354167,44.397616360812734,46.78519029752512,51.47977735413561,50.28195395698331,47.77405493516141,50.49151056078357,48.01812412674429,45.17664526486086,43.043418684492956,41.612048502130875,37.58479786723445,36.98273959707486,34.397000650143184,36.3636438988317,32.62197475621465,35.87846687502885,38.84768848220676,39.344543573883996,40.359720239033344,42.95951364576796,43.21043781570205,45.26113703474241,48.51565313416329,48.331347398639174,52.374432628883554,52.77399055386011,51.04870200263416,52.34633490602548,53.878883346445015,50.4325250815663,47.77325519606801,47.734296206322696,46.64249356145543,49.651490291270875,50.50162487028235,50.920914731869594,50.35022330298468,48.97340585529645,53.18410181499362,54.435876534059524,54.51166647719591,54.35644376218188,49.479589720708624,53.988997743342836,56.74064071127684,54.857590590810176,58.57363260135245,57.781056252255404,62.67125873164541,58.64836481299901,61.88247341062348,61.84109663378577,58.34500035120756,56.64702328800679,53.6856000673172,52.990703671744726,51.98516562374941,47.083279373286345,46.551148171458706,42.68236118768927,41.17618605769438,40.89900183315184,38.81392094682403,36.74668894125074,36.114437916138385,35.97150512785902,32.31475473339208,30.889301364870345,31.78029148435088,30.883292965850433,26.459950928178056,26.25863963679037,26.194065925807116,23.357328859670332,21.485811857963892,22.712707382686705,25.364020951357283,26.62081623087555,31.01242533417111,32.06695030965716,32.60301315425697,37.97763144497551,38.475279079122245,42.46572704413104,43.26606119973176,44.39782686933689,47.318641835544604,46.304610313204236,50.91005989495155,48.98547636120396,44.9613733575114,48.931014687773825,51.75164198842325,47.9450413358923,47.506168770250795,51.73478935102437,50.563168515719774,46.2773008956875,48.271242522774806,43.58402929846223,46.246924141121895,47.6565376013571,44.52306425888694,46.21357004291089,46.19656776887494,45.06722471990446,42.40373731750177,40.824693158261574,40.888319048014964,38.24374511417639,35.86565321587415,34.951753080985945,32.604867614922696,30.46904582107424,32.74799698524518,30.954766306706084,26.625914996268158,28.13319266972993,30.923425199270593,32.11844101754433,36.14271577322744,37.849288571016835,41.23195933659415,37.785326798371806,34.90951955326748,40.05409582925285,40.062773353564,36.86452567405918,38.69254946409273,43.37388154621699,40.70639564292762,37.4808620131847,41.68040660198476,44.452720841909986,40.352168240075756,40.06292131436536,35.70641642887548,38.41431841215176,34.725918149049384,31.479508155951983,29.341397856398686,29.505663182981937,26.166191497794102,27.280171986488266,30.645119254286943,33.90821284139116,35.91389868651182,35.980732356390675,34.636930028157835,38.04678077500314,35.62897358157919,31.66992430275767,34.205457282263886,33.03059994733021,32.933263643579366,30.84750264446589,27.788240527159722,27.465120210665305,27.904835080077383,23.782134098766726,22.903557323891363,21.15331706669472,21.984428579359793,23.126887918046084,23.159976701460465],[17.707863540353202,20.684392430415578,25.634671257263584,25.582819903312505,31.42890050777688,28.72913217949348,32.221197689183484,34.273400951039484,33.16953298980521,36.55791807529107,37.852380881353966,39.12730611719955,41.71332376451774,40.002060693470185,44.14065009060111,46.1285960633263,46.03436626098881,50.32492097950241,53.07657192801918,55.74056932047565,59.24348341087315,63.21957086430503,63.5674730956409,63.29792523263416,60.154632582569754,56.29924436633816,54.39451739141634,50.358697160193095,50.533434427403485,49.34493893817819,51.39163526064696,50.44317452034058,52.77489988918853,57.15179705628664,55.81783164449396,55.087847793916524,53.833624205545206,55.57456448252665,55.60906676227539,60.97800595968712,59.56229754326051,59.58520159945215,63.889930141439095,63.85850739384705,65.78530803687855,64.09124702036321,67.85524814566978,67.54543105609443,62.74268286044785,65.84713781066569,68.74609382894428,69.04071176571902,70.25008236149513,65.29102301991722,68.97541464828821,72.51574857633902,69.07329655446617,67.75571710083486,72.66209164008102,73.28290550788108,69.10196188992117,69.52076011673857,66.9740721849319,68.99730250750589,67.21994566151605,63.42729631504371,59.966979449803844,56.570295723255114,53.809568772156844,50.742523012216886,50.0312645995004,51.61273540940804,53.450022869484044,57.61726869782304,56.81861745690095,62.85335308365161,62.51068983608841,64.51116958062562,64.08230521306876,65.69599034651434,63.40788623161909,63.31941112810249,60.3020438390959,61.18807415090173,58.91515512561516,57.3575417367819,59.6462654304422,59.22017241368587,59.381619809001016,61.042644515245456,58.65327858253422,60.71561365989653,56.76989925763496,54.169127814726686,49.748377119227314,48.76683693216818,44.86470299716884,47.3697881824346,44.5606935965376,44.11447109413028,48.33697015071664,46.491505624545916,50.292650552823574,47.60689839538884,51.44374901964487,46.632560709162846,48.31336457404251,47.315975726118396,42.753152336527414,43.113799462265625,38.79781130342418,41.18351107547978,37.97198458485591,40.154436567929864,40.863540533950925,41.88996214378285,45.288736363822714,46.23651442577441,50.203093707948874,47.94350392223407,44.934958760746326,41.85446945997086,40.22162317994104,38.14790411025683,35.4700121011963,37.92793263304911,35.14040081289916,39.335931807366116,40.94459503344061,45.772212836837554,44.719301572974885,48.51697818427832,50.583025514890785,51.30435511570708,48.33505258062236,45.009018866498934,42.242070582984695,42.48115064243908,41.94881204533806,45.0883561355155,47.06094853958324,51.878513890256684,51.093828680414994,48.72696949540445,51.681330414226885,49.604888375809765,46.63512714425625,44.91411774558077,43.63780569201106,39.846496229787874,39.541917444307146,37.38393733593753,39.73940441583524,36.44005054348031,39.55011347555031,42.227454336280154,42.326596943395586,43.198041064152655,45.56108643023515,45.487786776355335,46.97152967852666,50.33512095801692,49.546757499487626,53.81192615401041,53.768285610039165,51.54632026269992,52.865823146275126,53.98539488893439,50.485414590707144,47.943202101543136,48.225036197616376,47.39274983951977,50.823956503479465,52.03556414105675,52.790422256470244,52.57597824714926,51.34856800513991,55.75466712484081,56.585658036923384,56.67705292358706,56.0068775973783,51.289006332740236,55.51011484404328,58.03232959204672,56.0276056253354,59.83263297874847,59.05948080524562,63.73796807249512,59.352889750580026,62.55515957998282,62.38143690147099,59.097885788968576,57.21955723678785,54.27439252611846,53.638734535137345,52.52575977103281,47.61416817047885,47.26364262614203,43.31287235781358,42.3332189277495,42.02747360192194,40.44428161882388,38.17369644717606,37.02287999256046,37.28572545581811,33.879958771121856,31.576973914751807,32.62568007002933,32.561748463279045,27.803134407325807,27.057423627034773,27.357953750028752,25.101293720713794,22.41078112055819,23.156248108279943,25.39853955597012,27.171136731467357,30.509083348454105,32.249332030787414,33.08876322364827,38.38034407413986,38.93015922017226,42.972485199216734,44.320580167943795,45.47644575820155,48.63770142610652,47.82275637018186,52.18908801486509,49.89325327059689,45.85924424675129,50.02168560086871,52.43474503810982,48.37819372279669,48.12005863847007,52.28249658044522,50.61005937461505,46.29452435814171,48.594923314049666,44.114827602495474,47.40742377951927,48.919215513917564,46.03969607571021,48.15661804751562,48.45127998675423,47.47993953261439,44.40196287587256,43.04832636222128,43.56618175110843,40.72554809874541,38.031094025239646,37.59299688237851,35.4663077557376,32.829961855233414,35.08619680755768,33.720487402306965,29.382939471073975,30.23147313321561,33.03793568207684,33.80866136773683,37.94693109929731,39.65908365377628,42.79254908650752,39.078937637603595,36.0718203073184,41.17323275481705,40.78657467178385,37.41452033081846,39.21820507721809,43.73380325856424,40.60674813331643,37.32680025294876,41.618283854366055,44.07991319390502,39.58451654497122,39.304963427241645,35.00502124719797,37.07576472504202,33.15304620139985,30.253459967542476,28.306603835594757,29.270172608475207,26.28614851220168,26.487259590674995,30.013692513334593,32.95559463775739,35.384705298830724,36.02559310376868,35.10655553613516,38.88266953447468,36.63749174377891,32.97361369297674,36.19895411919827,35.31563574502381,35.60169670708801,32.912526068983304,29.92043490450136,30.28095204428123,30.450004160645655,25.835161171721502,25.386150508554174,24.187647490898378,25.23663454705241,26.289088078879892,26.41031611057597],[17.305993486133378,20.011369394863287,24.81426878720606,24.99905008602779,30.81644712727995,28.88243842922347,32.56947108837719,34.91040711423987,34.20515415269894,37.5642456070038,39.19457324278231,40.54101854449923,42.7566028453977,41.19135426336971,45.545453286388806,47.363267260523,46.994244471852895,51.3762449302189,54.00664258058755,56.55265035189295,60.044712873691765,63.90836690770033,64.23917676919069,63.779330362394795,60.58679322603033,56.86250322184564,54.86565852123599,50.94104702788752,51.343655047481505,50.26234070183748,52.75804136319687,51.654818910708286,54.244168485752176,58.5898614745264,56.99181057955709,56.115307702376775,54.678111800091834,56.18545785976592,55.98391985214865,61.16253706900827,59.686430497107224,60.076350363721666,64.34057855149194,64.10685190361235,65.98420231024367,64.10914346398498,67.79885943986878,67.59785432231867,62.68924845831408,65.57472653472387,68.67173413961726,68.89902286195122,70.31217197740146,65.4102015568622,69.29227826865481,72.80758577771066,69.41721723568783,68.33019446313202,73.24490364125808,73.75961955089706,69.77226551920413,70.45680705265582,68.07441093492102,70.08681777650908,68.10420941441154,64.32847806167626,61.043142107756765,57.73741754004875,55.020479486307316,52.145002056468876,51.40655851079716,53.176678120161206,55.039827013466,59.04632215006692,58.253214999230615,64.35641929601778,63.7345264405411,65.86650863930922,65.20284702727592,66.5951496222976,64.18044307911326,63.802446651032255,60.797871030664076,61.38523706229321,59.05572246366995,57.80135592327358,60.27635637998109,60.04784148983191,60.35850391083627,62.31498775421845,60.03728399726729,62.33738588270253,58.44782855626024,55.869526437637525,51.35160725189418,50.62239496835925,46.6069311713111,48.951148730986446,46.02167963606474,45.59169773230788,49.52231502598384,47.358378272048476,51.022906085146616,48.00256214443498,51.479357107816426,46.52533647531372,47.97702414516377,46.665625281777956,42.08165621077294,42.80736169116313,38.551804143607505,41.136308681066836,38.231755640332985,40.29809925072395,41.40543387826233,42.240828804940705,45.826948785516585,46.57401782045797,50.878772824213925,48.82494185238996,45.79535312502594,42.70722535775351,40.7116704936666,38.55029415571373,35.84274713564614,37.83214352951974,34.91874293367995,38.964653549355205,40.343225205749654,45.24338146178322,43.743640563273644,47.504294012548016,49.61586650892514,50.66014446566352,47.58769652660287,44.48555349065091,41.32106433850764,41.90365538044837,41.558575748581006,44.88565983359503,46.87585994745966,51.74816537150643,51.25205635890954,48.83518398500899,51.8431827418565,50.02572128660751,46.958791503796235,45.393037065450756,44.00411112122073,40.42149842275829,40.016264804815975,38.2973872223683,40.65132361958217,37.77986968438277,41.003487938390904,43.387006964791716,43.36044001392058,43.89208218402032,46.316447166094385,45.769832905758214,47.03242737076589,50.645183192781914,49.53496018477527,53.83588670531983,53.39744505271125,50.98961089181252,52.071462033773926,52.98225544264403,49.34896932763182,47.04401371059711,47.3972340090192,46.877530444117916,50.468299290511155,51.87807022798271,52.8854918354818,52.79706713887712,51.878709904186984,56.224307547808145,56.83266492943653,56.76830344399898,55.826337701051806,51.083763215168645,55.007399916699306,57.37587729830077,55.440440254938835,59.47444899941104,58.91407830047317,63.40518854746379,58.87030303712491,61.90785511878255,61.514796565776734,58.34345469156226,56.20301585327602,53.188042787132716,52.44713225917701,51.12389003124102,46.26353659152737,45.84042884413778,41.78939846695033,41.16950000051118,40.61517228206936,39.40554958818931,37.18566879457027,35.560062229855454,35.90978674391125,32.84141311972202,30.118058308788687,30.9858447736703,31.373779723896224,26.67521805301059,25.480153313027635,25.82929306663876,24.13609922901854,21.104386577269818,21.257354200642915,23.294698278059037,25.120733063442408,27.910394848595878,30.021948850709794,30.913490947590503,36.073958513195485,36.56915485887179,40.645083363149986,42.35520802327632,43.58019890195371,46.899881793028726,46.321857002288596,50.48933341867313,47.9276100302189,44.04165636970295,48.33622705128248,50.43486955198961,46.29770341886316,46.26255544220969,50.39680439763687,48.391346625139036,44.122328809160265,46.79037094104505,42.36190295598222,46.069468651638225,47.50487517220357,44.70273052351521,47.11306772024331,47.51210112490549,46.80940962624347,43.485464355478506,42.1210874079833,43.02816752159092,40.21154277840156,37.19242430065223,37.01333987271535,35.13850100978092,32.170442684876626,34.210381810362776,33.16740893738639,28.96120987915207,29.211639509482808,31.916517712035205,32.40602843204241,36.583992115275194,38.3795684224738,41.252786648524946,37.33764550614061,34.409930925836775,39.450169495020845,38.7354976029478,35.316183610238475,37.2438384385932,41.51225107966591,38.100824313703804,34.96904615874795,39.351027656191825,41.49162352875275,36.85128391575965,36.72889917039275,32.54575414643895,34.203956252018216,30.23694290396354,27.38092432780578,25.802865555154362,27.154755606706413,24.626938572192138,24.452098735467576,27.98811532748001,30.658639793043456,33.33781511563001,34.13969405521807,33.743765515364295,37.67094479561701,35.818921752657936,32.17901474115867,35.729386000375264,34.88206385479581,35.656394951433235,32.69664154025895,29.52278534484252,30.3934688626528,30.766015925722712,25.762605650696173,25.264480297225706,24.453069785749655,25.54909600515111,26.464938303581004,26.679513500885538],[15.935127132611717,18.315880925589774,23.078883775626892,22.398130473421446,28.37259577715323,26.47945161535575,29.934607568917357,32.554819054364344,31.53146506653559,34.57991397868132,36.251790328259254,37.92774105767116,39.863883557620284,38.01076316430118,42.49141991947518,44.40763179366177,43.81069300723969,48.11147444997374,50.526148211185856,53.22327716273448,56.59829162189104,60.52676792773765,60.70911293734488,60.22694979506275,57.11681386655509,53.344766171582876,51.51084414282351,47.62680151887584,48.189663752260444,47.34173040057537,49.75080563632156,48.95572826294063,51.62662407142566,55.8377179402954,54.20735068816831,53.12744632794422,51.90182178114787,53.12984688264832,52.91787170755158,58.22028437493964,56.51925017732667,56.80634132638986,61.12659755961151,60.817935457888815,62.55757679247072,60.65938978444933,64.36655143986812,64.30150434431792,59.44164438765158,62.44421503340861,65.5829806390232,65.96160575211026,67.36376082221526,62.423073014899025,66.43634421059687,69.79256991187313,66.2683086005779,65.29119562190331,70.21530725419356,70.55113465381986,66.51527823016255,67.23106909508192,64.9076066183548,66.72961032480026,64.73226880137327,61.064297129113314,57.616210437674184,54.42058554457608,51.52183091156807,48.75272502716929,47.86915593430349,49.586573230579326,51.61647966272384,55.565238481046926,54.98756713711573,61.1410960663289,60.571037571474506,62.866344760845756,62.23168160407848,63.6141048970886,61.38963614016095,61.00006255116004,58.22484570481462,58.81025684534444,56.31407681455372,55.020323939337366,57.31211461820152,57.293197761578014,57.340161966291134,59.46890308451766,57.03102227783069,59.300676487513726,55.46598302309586,53.04308875835469,48.48012750620525,47.778977878484696,43.697104508028204,46.33949774013987,43.541459487981754,43.54106069012783,47.20580226613826,45.367917020429275,48.754346558435245,45.97110763543614,49.437158881099414,44.4895746664423,46.24432002616548,44.911154507680905,40.355828777475004,41.04292666482424,36.55941617496738,38.748407226722335,35.64247295588299,37.4198066559105,38.29541719930912,38.94030687009593,42.45468121921012,43.04074130020977,47.261077617751496,45.36329994868913,42.24239389237805,39.253726941783654,37.1646214650625,35.18611383912233,32.701296921835954,34.853392465806635,32.44880892468477,36.47562808658181,38.14231777054624,43.09597969866512,41.67012861736732,45.644415482285766,47.46037943786511,48.54378340677874,45.17948277080839,41.89057942240028,38.77027696269986,38.98469585100928,38.3650455866754,41.68446360479059,43.39661283216361,48.275450832725845,47.81099506086163,45.52912002912774,48.63691179540619,46.91565632319248,43.84964657644906,42.4950590489634,41.35068081125249,37.838439993785244,37.841073603136735,36.16851035299296,38.95613997929646,36.26034551512767,39.14085855534226,41.40480605336087,41.0513840857945,41.73675080098898,43.829530953804706,43.426477437910606,44.360241179963204,47.802943853907095,46.504969549750896,50.916135239934135,50.51788764656983,47.942957062839625,49.28702743724379,50.126066564194865,46.63329612379126,44.150897748121636,44.66129016719934,44.00081760622942,47.73309132286795,49.23356594142305,50.27371729747516,50.3972803152664,49.326410618376116,53.89243417118148,54.3003420958853,54.4184359619808,53.285751846797,48.76455463746192,52.735642238477055,55.060148388566766,52.93426755932385,56.759116960768026,55.99864624020373,60.48664587296298,55.860302100482684,59.02650779110919,58.788876610612945,55.66363298343761,53.707228024071355,50.818475287853836,50.288722747251725,49.197624425416805,44.295817962933526,44.203634902437024,40.30334296474569,39.6815685350201,39.607284296749654,38.38568536359467,35.81499071979208,34.46045043297236,35.251422328489454,31.9143116575327,28.869031287730458,30.37231643465418,31.108955678440587,25.86808896962175,24.915014917613483,25.859249677691132,23.869431361903587,20.423754052313928,21.33504103465258,22.98140348396617,25.72747973181987,27.921996087144407,29.985189753803617,31.380322277732795,36.62699795232908,37.72305733223353,41.45813011171926,42.97670836814051,43.85950385529047,47.06871194031076,46.13746926751516,50.33305107961458,47.92163727521654,43.60945478522065,47.790666215083206,50.01456744394919,45.747278520977964,45.40943041990146,49.44931611547671,47.57274842754707,43.20959154181536,45.41113744254851,41.20997202013226,44.84240715600943,46.57570127269499,44.07507965969376,46.47914749489305,47.23702836482165,46.17000174718042,42.722987937855734,41.88373867899979,42.69813881421319,39.48488484252441,36.72823456650775,36.913619256577114,34.92304714529306,31.851454096331565,34.43304696922187,33.57382399616686,29.14466713582608,29.62647344420086,32.6883696738407,32.9214693309559,37.0240900347802,38.39924247589587,41.47338713026092,37.83298797938783,34.35142521930434,39.29951530984117,38.88461029291666,35.3674482842216,36.76284122854421,41.375892336184094,38.15455839680667,34.509887008823554,38.66253990956926,41.21282508031072,36.512898701268796,35.93975003504588,31.63013986520957,33.550517989988485,29.51778628143445,27.090447706031853,24.790003927471417,26.203439590157558,23.26135756191651,22.760941148344347,26.331890374012243,29.133371157008735,31.69797546609261,32.813312536931804,31.93762695185875,35.93934868696323,33.69452070408456,30.44044740806864,34.24653096777528,33.79533280012818,34.27258814503237,30.992297199803183,28.322923760553476,29.319805861029124,28.98033900727005,24.087527062941383,24.33447767119049,23.872762545567223,25.300009563577383,26.348378594299597,26.64068831767667],[16.056706431316506,17.74803456754007,22.08483781406785,21.316600725321486,27.184225626157332,26.418087387885258,29.946758478386993,33.012755970131025,32.37981227944956,35.20686792650466,37.291260537894125,39.160431292582054,40.49836764079966,38.733946876732084,43.47920940903646,45.203172515023084,44.16988296394727,48.51106867849438,50.657929532279006,53.249768095998505,56.53814236514721,60.325972029197224,60.421436183049494,59.68550424108416,56.564239389950124,52.96487867689721,51.0956348184143,47.405385263763705,48.32807179551504,47.723972375879164,50.63888247594964,49.78471058530071,52.782797059572076,56.87281612161253,54.914062790461934,53.573421236782586,52.215489875187416,53.016865845330265,52.49594905702131,57.57411806432359,55.70263624600739,56.419848962352816,60.68965619336704,60.0862969490051,61.692425028532156,59.55422206640437,63.159032607608765,63.297280607667616,58.338690500633845,61.09199155207598,64.49900666915286,64.85638654593812,66.51856023700103,61.650045310320124,65.9586674322762,69.20182907144836,65.69869001838848,65.06884187975513,69.98851271887713,70.10841131651878,66.31620886742667,67.38047970006389,65.30021179509744,67.01667702854878,64.7647888154141,61.18301302984778,57.90785694023468,54.89547751030746,51.996496291010736,49.53642471252178,48.566513452960656,50.48212579772981,52.5952614073992,56.29141485873964,55.814117218717925,62.03733763520948,61.1419487203721,63.656559357057105,62.745038360733076,63.838588851478406,61.54559909147522,60.78484964667323,58.141901511445965,58.33835681588387,55.70960392919867,54.799146781842396,57.23564858975472,57.55743786844123,57.680975669632446,60.23758491267515,57.88759513819584,60.424890547821164,56.703957027694116,54.38701671836321,49.72509081676084,49.348110617945146,45.14168097414175,47.68024296095285,44.81526068755811,45.00060365150262,48.171965146675745,46.09045290852556,49.16159528753933,46.08255300306786,49.05453241437506,43.96334987071322,45.53813969461145,43.79302748895517,39.26437438206489,40.411847631098816,35.95762758746737,38.20301437569554,35.4562514854199,36.92364906278732,38.21124562011652,38.508422091998284,42.19911904896209,42.439254273055134,47.02981376773751,45.48652934679627,42.3300922068663,39.411923160867296,36.82877696887689,34.84528847211392,32.46408230314354,34.02131027541936,31.719258349723624,35.47539697312136,36.94402971103732,41.972412537983004,39.984847926191165,43.98219453695976,45.70598153576269,47.23795050313997,43.61938802362677,40.573566574275695,36.948408248551026,37.46197178284244,36.97458587071874,40.5191629348942,42.106198090783366,47.02433288676745,46.969863330739344,44.70244037601696,47.90205580384399,46.579974275470455,43.41504537092134,42.371767097762685,41.20212108428895,38.03401152779097,38.08032769314353,37.005300708418574,39.92221722942699,37.843003356528875,40.69436140617645,42.53085547706922,41.89771196952091,42.214898343692084,44.22375006973155,43.28113828788819,43.77133390674784,47.43434984685948,45.636840404555564,50.11351771569598,49.207288029831844,46.317704071379936,47.453458901721085,47.96372166623248,44.371722570704584,42.14801629346065,42.834059515072575,42.542241774285046,46.53188727235777,48.328473672432175,49.70790596511288,50.0874931693327,49.35484868752305,53.905664273702016,53.93893223886084,53.93545637655426,52.36929859836395,47.946800449730745,51.51955950842298,53.60606746041488,51.496192417946396,55.50926047885694,54.94345478190812,59.161932111535336,54.31362014462222,57.29916856667036,56.83337014232312,53.90322885147386,51.68629701569582,48.77843761858001,48.20874162566527,46.94507232748726,42.12168337958247,42.09439454826813,38.157543635932775,38.0407056736565,37.861286406729185,37.15502133287166,34.51623430940437,32.65588665510496,33.77798219712256,30.82057360736013,27.07571578755924,28.629613693084526,30.147937250961142,24.83954125282658,23.40289897095415,24.70040140569173,23.388483292791182,19.39046388135526,19.822163833398555,20.88694269755205,24.142210815701816,25.165069173340473,27.715058372306977,29.43148618445764,34.468469711043625,35.752352064176264,39.34710556289632,41.2492935846528,42.046672238931876,45.3868823095773,44.609914932585596,48.526739586220614,45.843672176171744,41.557261993589336,45.83199176093939,47.67737764251652,43.26047090864524,43.08082065059786,47.01360526337051,44.74916611145829,40.421705714634506,42.8904634377047,38.90341606531716,43.04738700320779,44.8072863047852,42.573713503183924,45.34164097305277,46.39241551220725,45.5150719715387,41.72558410465891,41.120330010578634,42.382067047911804,39.06249228617558,36.04248061585033,36.719589028877955,35.02618401695334,31.543634390686275,34.045549318823944,33.6849607517346,29.40952723135995,29.23428034832508,32.2643137506996,32.01383586112386,36.06826695163165,37.33838519696211,40.1294763473433,36.395168426840016,32.796335009343395,37.55554760981736,36.846136566998304,33.25273169309535,34.53074523282265,38.93331235059657,35.4393084840122,31.7628884505791,35.8872732437041,38.18072700119833,33.262696262201715,32.67463690382095,28.496334776791855,29.922777174197297,25.801802824960184,23.73849989525697,21.600223904582997,23.645639250867823,21.224440402238038,19.935146727112464,23.489255818232696,25.911044152861574,28.77520262382827,30.297979831703913,29.940198891633237,34.14908409578112,32.28733351447861,29.30933703739479,33.61711451308785,33.403727499985244,34.36587249292921,30.651648056254988,28.03353640953162,29.719246252513017,29.336296310126794,24.12521428812051,24.62915138389195,24.80948184047479,26.359098406597063,27.264955453414746,27.673372186172344],[15.333268857516941,16.32867723000296,20.231646888689962,18.925820926822755,24.707508437857577,24.585410841378387,27.978439370142222,31.379262219744014,30.839627376922408,33.378720775589464,35.7039410081499,37.79019508425515,38.6551771466041,36.86407645395795,41.76827222620396,43.39602214487869,42.04239029634524,46.35807285250611,48.291565272918916,50.848822513608425,54.04999749962866,57.7674903337209,57.78548387293206,56.91982331859721,53.81570522675544,50.303980420333836,48.461316287919345,44.89884326185916,46.06108662819181,45.67542594970953,48.837035146548466,48.05950808345749,51.261415826125244,55.2112508797318,53.05995782607088,51.507256547570215,50.15939371081494,50.627127879234784,49.94321360482654,54.93906117644916,52.90860220437632,53.80634666712838,58.05533654921636,57.28645635597309,58.79116855561487,56.540460697277844,60.10184393370472,60.364947684469186,55.38064483568801,58.05353341557384,61.590416230177006,61.99219468786246,63.764172619593374,58.92634123157207,63.41587541558222,66.53823625296921,63.007495428250536,62.58890155347059,67.49708523099862,67.4516441347358,63.7769256952894,65.03144714106608,63.106491345847985,64.7120083701928,62.32174284664976,58.823644756349815,55.615458192157085,52.74435108932712,49.82141087759393,47.57891983552978,46.537960158044214,48.57308330027032,50.74339185059648,54.2572604991145,53.88174522499965,60.133799954622624,59.06285093251851,61.74395607244476,60.68654662630488,61.61513044803976,59.36142566504573,58.40685454843914,55.934697859482185,55.93507549539866,53.18000631416479,52.447735236409585,54.88043168806172,55.45913920116353,55.52923456322128,58.37441228904432,56.03299942749855,58.712514515553245,55.09338550153247,52.89945392166792,48.18720628795697,48.02582290044668,43.74903350740512,46.30377628279426,43.47002556790786,43.94513940328585,46.69060267334017,44.636558253704024,47.387982485819705,44.28585705131074,46.98358009500664,41.85628087627589,43.49314880974889,41.55711810094552,37.090069895505664,38.42455368596666,33.90576013436315,35.95616220466928,33.32930877063542,34.491342531042676,35.90082874938223,35.943557764630825,39.685243436171255,39.700952009245455,44.45241971690283,43.14260000513666,39.96640513647761,37.128113105159834,34.26186381885346,32.33718384325052,30.110710125495956,31.394994249102513,29.40125684176932,32.97417847149556,34.48013494786359,39.5361415502843,37.34546358737253,41.444947161243775,42.9637909074109,44.70469521876156,40.84340401216578,37.83418226822904,34.02234998831733,34.50175986269492,33.974452631827496,37.60383344746699,39.04538355349123,43.96707619548888,44.112890842684145,41.89857918716589,45.161944930510536,44.081356828846516,40.88216718164991,40.088980175902655,39.015090616074225,36.0907322345448,36.34891015954635,35.636864691796674,38.80217435032506,37.18321982696851,39.82070291975929,41.335294975880025,40.40173895603971,40.58258712439552,42.3791597300675,41.219848074063115,41.331001552700954,45.014961345578136,42.902565679952104,47.435189631600345,46.3093070640205,43.2259170786122,44.37260501049766,44.72137283047236,41.15790183456929,38.96924469242774,39.7926177450028,39.60437509937407,43.7556084326462,45.72253868378099,47.274944260785105,47.875932582252425,47.25284844141752,51.87202816736915,51.62472511660003,51.64331836550432,49.78758984033199,45.53409143906103,48.929757786969525,50.88173719321178,48.69639405832216,52.68809428461566,52.13222970843183,56.21933045429213,51.24495347657719,54.20711616334221,53.70890128974403,50.88307572702887,48.648721481483406,45.80093902604752,45.32249427995388,44.11890666305618,39.323215326237104,39.508505662138546,35.67105241642635,35.767162263118436,35.83735689704124,35.35407540459753,32.50111588886763,30.607933275949506,32.14240912139242,29.2276415756789,25.02397810980792,26.995634939026548,29.05582983484253,23.486943399154644,22.03565841774182,23.86157018306733,22.697412710334056,18.33103457993984,19.06212559482687,19.54333534105939,23.559378495746465,23.676961517590655,26.29841993566179,28.466019974757558,33.399941051319196,35.13952133364863,38.41253656478453,40.3037268156467,40.80920438615049,44.089053187381566,43.14164971432348,46.94092482001416,44.27644160490375,39.74771749529755,43.95126625287354,45.72687306062211,41.201517846029375,40.882098167300924,44.691417595264326,42.39037910191129,38.03972757255217,40.29217169750682,36.553967934970096,40.825369748923336,42.765794346295266,40.847811376513604,43.74294209938646,45.138065681103456,44.12383994515638,40.13966579621903,39.972179607132375,41.36314933237627,37.78787989756129,34.84657690432443,35.966238631958255,34.3635270913959,30.684555564846743,33.4534296922576,33.4403807161729,29.180753138133422,28.861889752301114,32.053988415605815,31.432843351111597,35.34738923466964,36.27384623361325,39.05012024065347,35.51775042236368,31.542944172438837,36.09728251900879,35.49323922494911,31.852668118045877,32.69655618899502,37.21355826701862,33.8069742750579,29.795534112285964,33.70001837370857,36.180051039382874,31.21122533702652,30.29887968966914,26.119091722831605,27.58523490778657,23.451354854569637,21.86905140246399,19.26001083943758,21.544329140525655,19.122774369151855,17.273351662489347,20.774320420351906,23.108387739891235,25.971070170784095,27.83937827426045,27.400054324550744,31.70110183426068,29.809655274599557,27.22507997844764,31.864941777005082,32.00514014306865,33.018553113182406,28.96286024791714,26.717655948391517,28.79326356811506,27.99521167851274,22.800861865404766,23.86353967743259,24.582058561575074,26.336345074784838,27.219698869933872,27.722433366968396],[17.425932991687077,17.886660313693035,21.279483200415832,19.511616409988683,25.067197809764412,25.66114402586402,28.85840020888951,32.55092009325794,32.03363594777055,34.230042605818724,36.72061948947224,39.04540009129543,39.47405134143255,37.563438602889434,42.59586494678858,44.184283214679034,42.49059564123455,46.718099854980764,48.33312957484301,50.930021867406566,53.96980054788422,57.635177808393564,57.490180940139695,56.46416618970393,53.44368802612293,50.01904592267324,48.30021053559532,44.91334730122008,46.37088648868304,46.264891438606796,49.57272805356999,48.96541177626161,52.32350591105844,56.11191758283476,53.81445225010534,52.02780865252405,50.75710293428288,50.826777123799594,49.968930194876876,54.875190670898235,52.6033903053757,53.68057209331107,57.91145868060013,56.92167393385787,58.23467542596652,55.82535489016418,59.31732758537313,59.80920824052657,54.82243576058759,57.399440211995014,61.12510455465847,61.60747451734917,63.522612564568796,58.733830765464276,63.44851648023812,66.39152716093835,62.803571636688275,62.65459179133734,67.53990793834745,67.2561982842129,63.70135688523205,65.15265701106071,63.39871054401294,64.808256856954,62.29360624463677,58.94012280938866,55.71816798861355,53.042200637775885,50.0010173226885,48.006081192363716,46.81753586006127,48.86291168884712,51.19330258709148,54.52613833940095,54.36636973832592,60.637189479518405,59.46764818818108,62.339325950288426,61.181135628105665,61.95754185481927,59.79940098082494,58.648231360474576,56.39584875868839,56.17911948129652,53.274939292243445,52.74308906492504,55.123665512954446,56.00079995116651,55.946986836875546,59.07868147794162,56.6929689238696,59.44429618176425,55.93439994547962,53.89839477684582,49.16314196237402,49.141127505441126,44.82456644641441,47.49188567050678,44.73682354531546,45.49285521322436,47.87776428167582,45.89429533687255,48.33568091473635,45.23410387517687,47.630577819413546,42.48561908637343,44.137228937954916,41.968387081217756,37.595162316628226,39.16737194184293,34.63771754793818,36.4836197287526,33.999817759474034,34.78750319589223,36.2575349193153,35.96411069080191,39.699859925844876,39.37727106516819,44.22145025534827,43.250331190758835,40.01808789216845,37.3407384655345,34.16696994445853,32.425153798665384,30.474531026384323,31.47491620089454,29.90106233909729,33.218706642097395,34.726427404494856,39.78157032389377,37.283972826697955,41.45093997494749,42.73892337672527,44.78446468486988,40.641148256362946,37.729505963718566,33.641509837302046,34.092546734524866,33.46909133278243,37.20064160419307,38.311639866629186,43.216765769138405,43.66451012082142,41.58848994983381,44.947868698133746,44.18452522157753,40.967114465053875,40.49916005139951,39.57291478058979,36.91663848498533,37.40324199935891,37.00640255045649,40.368866623624385,39.084689429206456,41.536732711329655,42.811611543006066,41.61569861902079,41.699101470882724,43.2635732097335,41.91605459214619,41.59450611060781,45.261314629016184,42.75186420238696,47.35151420898728,45.93165212265603,42.54644420003201,43.70747560129603,43.75161304014983,40.235339143787556,38.15452200139022,39.21093332671685,39.20045093734125,43.570291378440544,45.759359625453975,47.51922485322997,48.37631008218756,47.860204315360285,52.54568496158614,51.990891340009156,52.03800074048413,49.83762284589342,45.80587038048536,48.94523467632801,50.70169387972608,48.44060208422171,52.402140035303866,51.85385730249145,55.73943292187569,50.572233462038355,53.48563685647764,52.918063957641344,50.283534386021394,47.98864011994628,45.22294173752152,44.83703540013879,43.639069714406695,38.93275942648531,39.32686279530607,35.587326639382674,36.042805517837635,36.237963560358104,36.09594992268434,33.114814363655974,31.03515518282061,32.92281064034528,30.22011803644603,25.552938252791144,27.741559926050975,30.34626272724649,24.74080304736218,23.128579051432936,25.272149021370335,24.44930949065206,19.867588753638397,20.480307823540123,20.43658691176244,24.84812371883671,23.962855756182243,26.870022883121003,29.333841785301065,34.0285873548886,35.97223411680729,39.03869382665543,41.140270114386034,41.50025772740526,44.79585958938888,43.86200515325159,47.444174471842956,44.66611498212651,40.07857981712501,44.25986352312606,45.788272594642784,41.155308931615565,40.85054710518256,44.497043138673256,41.96595299854083,37.66524372531451,39.89941606491577,36.482378632159715,41.03198118648025,43.08290673706129,41.4731691499936,44.55771811476004,46.22741288999297,45.214888511128514,41.04143849580464,41.18011805855239,42.77050340274479,39.06415790817202,36.11151208796305,37.579441287858636,36.11881465449655,32.27851147777196,35.092392123751154,35.367678380545,31.21520802530524,30.63590546411182,33.816535369191094,32.894502898887836,36.69262642701815,37.438311537277755,40.05222804023638,36.5817390491804,32.46953451231414,36.78652914354159,36.07396683694496,32.42199423652473,33.00105992713959,37.3910293126976,33.8822790360313,29.767147375583914,33.48609074539293,35.85155550371648,30.75308792913131,29.67751628476045,25.66641296818101,26.715971340064755,22.564914453526544,21.583726283203845,18.95516064769813,21.74271323533523,19.674965548676916,17.071700326775336,20.402742897816996,22.351705776185586,25.357742368186017,27.69954362277597,27.444848660150672,31.834914482266687,30.05394346340963,27.911745915531675,32.85229283274263,33.27965115556772,34.40836790311482,30.08994635361908,28.139681840259527,30.54733646098881,29.471293136279975,24.34231211625878,25.761638349773317,26.833642821169462,28.649753741224192,29.438460549851005,29.968288818937346],[19.543460603596873,19.376687893252583,22.043761119003626,20.11791116854352,25.18159169451024,26.768701115396293,29.813630088021448,33.770667565555186,33.517519156517594,35.409752426678835,38.15389283035667,40.6201104582737,40.528167338284604,38.68356572153485,43.82745130167332,45.250928368860095,43.19308547306182,47.35443164124801,48.67020197309379,51.169180668936505,54.06698203797316,57.580149923955126,57.32829946500131,56.08374895378843,53.109978230027856,49.87442872921465,48.18825476645431,45.041677144310604,46.81724393878592,46.964255391862125,50.60838569849628,50.019901237278006,53.59692780184722,57.21858443376236,54.684022395100044,52.67306421200074,51.35262110440626,51.00636057301982,49.88957200019996,54.55721275865132,52.11029483309144,53.536219086000585,57.6833366491288,56.425444401307665,57.57167981124354,54.961204357691145,58.32522081379416,59.03243569175807,54.01922089603811,56.366711490677446,60.31249812218029,60.8066384879909,62.93096503184324,58.2500232083576,63.20375060858072,65.98768718882721,62.42201434610013,62.600926154417856,67.43838805085466,66.93390427485924,63.610837311607455,65.35151500732745,63.82870773329885,65.10011818084618,62.39115277030896,59.168958011743214,56.096321343154465,53.63099208209083,50.59722439331408,48.90929957605614,47.64243528332789,49.803586214587256,52.19644159048852,55.26925742119754,55.23527791533276,61.49473460295487,60.08692662521564,63.13716771518291,61.77246403889253,62.299886089931555,60.14483116312563,58.69102321098626,56.62299359165239,56.07546763068275,53.05834137684949,52.85919204292283,55.29447884607597,56.48789357137544,56.447336508967304,59.92336671457256,57.60572687913301,60.53073002769595,57.160426230419645,55.258913963447995,50.50762954173617,50.73458871283153,46.38581455584974,48.97989715598258,46.24467225728185,47.194108661621826,49.124357007563106,47.0425148242356,49.143087562539925,45.90002314826496,47.83570412150641,42.671042593414676,44.19523192717532,41.7021831169548,37.46785749553862,39.39813920717453,34.97870763235675,36.730776543240175,34.59408398359708,35.01908394270193,36.7562519266377,36.11900244539516,39.89733411330766,39.22814290963389,44.28549000821616,43.67873299155751,40.46801256211236,37.942194028131745,34.403330952224096,32.76156049187054,31.03266240694065,31.48576643819242,30.196141664314347,33.13050877817805,34.47122133910933,39.472069960145234,36.51908004186727,40.663687683510304,41.76440288535897,44.207297013546324,39.834515961908004,37.17945132288067,32.71109228578381,33.35191716974596,32.805109825642575,36.65342522283565,37.53748630042135,42.38522660625199,43.22315753822813,41.2361488460465,44.63860318386638,44.2718387635871,41.03495645204689,40.89786566272398,40.02393011421075,37.74251941230447,38.329142214718956,38.41694029677343,41.86343276715013,41.07575166141392,43.40985146685873,44.32767357086955,42.891321628320874,42.712408593180825,44.11486202560447,42.377246195424824,41.608943372050526,45.35785976144227,42.40471154598504,47.006256786055495,45.14731708739868,41.47040707316338,42.47446758974805,42.16270248769407,38.63870279019779,36.82037630524084,38.081231204640076,38.40326172700198,42.966657574123865,45.410744817015505,47.45136092314268,48.56098341237295,48.310402220878984,52.95148930092289,52.04815008834995,52.027191522765364,49.43546540505349,45.608555985898434,48.34549649106033,49.84516178190561,47.587238973787684,51.61918048268283,51.21192997144169,54.799195264701076,49.460405830913814,52.20172369368045,51.45921142999892,49.05381169306367,46.581667128609084,43.86877832915841,43.50481592726638,42.21624270067572,37.666031597424194,38.20431893377606,34.56045558976727,35.502955401336635,35.70784448012668,36.044181188204384,33.01987459620985,30.603385357665623,32.83747704337616,30.526399589963667,25.360633705208535,27.642589480937932,30.898705414272648,25.424935165774116,23.548903792760587,25.986075956619032,25.706784888979247,20.96973838533529,21.279110713796207,20.59436776864767,25.34605530529949,23.223713486217825,26.44883475217879,29.2154899926256,33.54061075038739,35.71892741612729,38.49626578033499,40.85447222266514,41.05770709532692,44.37689416567388,43.52591273324248,46.79625542513818,43.85392851572546,39.2916648533301,43.44533171835237,44.61610468398537,39.89315249820752,39.676102368993156,43.12129189541476,40.27458055970177,36.076704488577846,38.411618737021776,35.35807458259237,40.27912667752222,42.38124931387985,41.1180542849133,44.45764238821113,46.41665274211049,45.5134575377495,41.115769572719834,41.55219087608625,43.45479634200882,39.68019332194875,36.64344728870611,38.52694406415374,37.31643605084927,33.27218985548599,36.01687712804407,36.68829502423007,32.75752267157524,31.75181946616177,34.84449388845827,33.53319077089071,37.15083987973169,37.70815313039322,40.04656754457729,36.64728957615341,32.45996580395629,36.438384231219345,35.54197916614969,31.919287220447323,32.23178864779466,36.36572941194935,32.733478424986366,28.59340418308265,32.084019546638004,34.224076450004,29.02013402283268,27.817121562558714,24.08856994314988,24.569210082209395,20.463007551887564,20.211259894026398,17.72085076875183,21.08193917014838,19.645096055530445,16.227078818224516,19.232007650776588,20.59497247504734,23.78303186542708,26.606241644604125,26.779251665882903,31.22178829075283,29.78733258610898,28.1062717414119,33.33897328352301,34.02876860302058,35.454730923091795,30.888334706430612,29.168259521084416,32.01903519592338,30.837859698824058,25.75445612720664,27.40829529226868,28.91017323935993,30.767665213963028,31.426145187876244,32.051017651933215],[17.009537097940118,16.09705638140337,18.089075841105547,15.760465087001142,20.540342369569867,22.632215988744015,25.527332541373756,29.62769185194178,29.61659292957018,31.36138094025436,34.31185409836591,36.77447693592456,36.34941347818138,34.72059690184713,39.893394791077185,41.1229108112145,38.94426031315082,43.14178257056416,44.496800638896154,46.80516622610105,49.760666103726045,53.16274274542201,53.02261390899588,51.76216693781309,48.69019443088087,45.54502957128861,43.70672375030351,40.60008418168205,42.41203853778549,42.57321755194566,46.50206330191567,45.776385664472286,49.49325983170445,53.04374281711225,50.352060941179204,48.29383715227455,46.855813783327676,46.43397276249219,45.23567840491627,49.806180994013026,47.433543870212134,48.99253913854837,53.08708792130479,51.83255424499065,53.07778953239235,50.493212813639694,53.85140157471826,54.43253342507048,49.39026701133356,51.67983974800118,55.594014873074364,56.033255644912046,58.15558736771641,53.499159551097094,58.44749590530289,61.26589132460229,57.764936315860226,57.960439873982395,62.78546902223459,62.32753019708093,59.0928565997139,60.923042572382926,59.46700095071647,60.83398468720402,58.034494639319256,54.76787591377373,51.91658168622327,49.45861386654686,46.62022647769914,45.03080556243332,43.88181529604775,46.26716871945512,48.47813734927579,51.41042686314101,51.22580477674545,57.45282487892276,55.82447240481521,58.88565339150667,57.37032328452072,57.77616169707619,55.54271960911344,53.9847126711757,51.92236600706515,51.290345371882175,48.27225270770444,48.16422125564507,50.683541784207875,51.934441979043946,52.01175393780143,55.60939002467171,53.4253088647122,56.52096933327914,53.22351908346566,51.33739466654165,46.58218203806281,47.04605948353069,42.68754867717447,45.05576782759349,42.295949458131645,43.351045371259474,44.93243226562656,42.79008965025291,44.67854793285012,41.396304013252625,43.162502995686346,38.01198347317944,39.589305967575896,37.061854895449116,32.887445811591924,34.855293544659965,30.431979000823105,32.06109859300445,30.073695687745747,30.3794126113663,32.32610907691283,31.65061523127564,35.51647209805384,34.88633531949813,40.13600132960604,39.512543958370564,36.408796761945865,33.842141972295124,30.199353733088437,28.411986563993914,26.641612189740016,26.794424310683503,25.56233414618473,28.366033891354512,29.71821243745369,34.70579701398428,31.77110510814997,35.9807507177386,36.99210914145858,39.41667967800673,34.99763020200884,32.334027706494055,27.87324063178925,28.535691923357273,28.10326097762417,31.96566147350104,33.07151704731178,37.92172152509467,38.739027762810096,36.646647812365664,39.997324722350335,39.68069052425464,36.4293921721547,36.33612246748807,35.4291465459528,33.33532915028086,33.97625227374763,34.382396078989146,37.918097575971174,37.57237183167618,39.73712854364955,40.342380612616736,38.73636157333325,38.38737325628064,39.69707602340202,37.769532324935724,36.85905415818145,40.66648487419372,37.663793370884534,42.2332341589679,40.33481798108662,36.72909144018992,37.68839363527729,37.49494005640745,33.94719003877827,32.07418016510287,33.26683684941077,33.58085020587511,38.12590177736043,40.583649651813346,42.673044023754024,43.84208187979065,43.69600487707256,48.30311114879154,47.29394824931419,47.253781450633504,44.596316859786086,40.80858385784535,43.51394941259855,45.01509333640401,42.74037118523459,46.780905589787004,46.41534244303203,50.017008003540155,44.722228875510396,47.46771192850099,46.74336901695613,44.26624877219085,41.83624732881958,39.121337122230685,38.799729549842866,37.626636482204844,33.029365347985106,33.70048271642189,30.166815495353536,31.04792286903039,31.591640464202378,31.913424295373353,28.699146750767664,26.518569461890433,29.07401555212099,26.65204099578428,21.326793404530484,24.119649045058104,27.621538736571345,21.966468032060714,20.37913795615203,23.31038650658977,22.916623462189687,18.1440917305488,19.133811803597787,17.974172796447043,23.392148463222224,20.92089543224514,23.699971144900083,26.8652308599077,31.175079839560293,33.90965753153373,36.27310972845045,38.24213458792393,38.062532570035714,41.16746235728194,39.9632380361343,43.270165049532075,40.58657126763203,35.66681547409684,39.6440664005629,41.03725919422821,36.30298665528115,35.761355365761645,39.15008131476112,36.615061079541576,32.34259822315136,34.1810746909599,31.235079781336715,35.958864644354186,38.24656779311107,37.20344992226086,40.47613840285858,42.69778157369309,41.53691526311829,37.09531827070041,37.95872473771702,39.79752427963246,35.79596012231992,33.00154204892262,35.216538106715234,34.02771947254801,29.960844835705682,33.05404112385488,33.96214548697493,30.075640847059766,29.183465036673546,32.47327975308458,30.922900214006773,34.316117353422385,34.43471562789569,36.92369915155681,33.92478710971115,29.295888233902826,33.080471672931196,32.59136338255068,28.98985346950966,28.743462708850892,33.224142557530925,30.036896856385578,25.41744589508578,28.59557735934832,31.306637913232684,26.314826782566126,24.628952488199452,20.735318249399654,21.98297459699344,18.039028018102023,18.072064753384094,14.57516003219862,17.599446642741427,15.844501730529071,12.209672489606927,15.08403169039848,16.714520335834507,19.59951824568552,22.5110008427274,22.252179924864095,26.672897620580272,25.09457024311218,23.721102275706166,29.079109710365096,30.077063349625917,31.43040504097952,26.695138513560597,25.400921437594945,28.48420154856557,26.945926084799844,22.086829004292742,24.241306491703153,26.24596622927852,28.27443377128168,28.927300400339096,29.632141084326623],[20.647184922577814,19.481795415295473,21.00695576075645,17.898977623226454,22.201626646801117,24.78333463748465,27.196744502362073,31.53651130891209,31.274936452495353,32.45220462431531,35.44330482489874,38.2625485363713,37.34422977322687,35.40078567588804,40.64067315013496,41.91701906343552,39.33040900117445,43.29202735511294,44.14567063286429,46.61151164040676,49.27137980190406,52.65843293351982,52.22773221787888,50.79384064589147,47.925097337258805,44.850110759195594,43.31701707927195,40.4606974795939,42.648101705934494,43.239103120531546,47.10427058674249,46.78733764139124,50.594817750604975,53.87981373405795,51.116171634587175,48.747043687710175,47.57994454464273,46.60866589915345,45.26676676384333,49.80780039760056,47.03709158253275,48.64917535584741,52.73707758837959,51.22024667997783,52.135329311022886,49.377836529849745,52.65984436224689,53.605705264666405,48.637163226555764,50.91651812506072,55.02843681436193,55.67341263195349,57.912258862949955,53.30390604670661,58.51650492771198,61.019599037328284,57.37834989039078,57.90324275406397,62.67641491008853,61.85965932529602,58.70538026509341,60.707376232411185,59.44772258600934,60.46397914935477,57.580765414434346,54.56992648186249,51.56806130628506,49.406415704754274,46.32200048628981,45.05314286815694,43.653675295032514,45.92680824040765,48.41128284866338,51.12295819954893,51.32572926759457,57.53488692010937,55.92460397451441,59.23443139394827,57.702263281505836,57.98926366815262,56.019474328263314,54.317503271898396,52.645230560584196,51.8409647076805,48.60045256025487,48.63369056448035,50.917752727424826,52.56183707976411,52.31083556321296,56.21302549813679,53.874226209820065,56.93214370573853,53.792277772332206,52.17079487902483,47.44762400677115,47.986770945879734,43.643015158186515,46.30743856993075,43.76425489289552,45.27729267112737,46.446846886758365,44.64139100342918,46.09705049992929,43.06085622090491,44.5690583194463,39.51676546560068,41.27799387824435,38.603923614018676,34.64190533176357,36.71586196110864,32.269015045017625,33.3858705891145,31.423639670214527,31.15145611931199,32.88031652984904,31.728308882235126,35.419381559887185,34.299026744851204,39.45877675660427,39.32282168256369,36.13405507141007,33.88305537144667,29.946760202889834,28.592049435157627,27.373979103046718,27.395276837601024,27.050557842510226,29.48754217536747,31.01648335067793,35.88844628468323,32.79665799535458,37.108849153593816,37.65798918297203,40.3586609261581,35.54163117128935,32.8944828597237,28.30424339670511,28.59135812065741,27.80132135217165,31.67914489235246,32.103961055905756,36.868458539205115,38.045772941787135,36.268007582306495,39.75416511719393,39.832746404117664,36.63317085110698,37.02002117023316,36.46808447898458,34.69688425830435,35.79439392287644,36.408051166195975,40.249386509065324,40.155685031438374,41.95625473168269,42.363332553965535,40.41137294775293,40.13602178676458,41.00522610295964,39.10265598221649,37.59800285469109,41.16576133264512,37.68658681885822,42.339069216532884,40.20811883930611,36.18169213610762,37.36961396641415,36.758397659200476,33.44448775840492,31.585199485932254,33.167069260466704,33.55465446587932,38.359853272622274,41.06215812525187,43.32692348299823,44.85508146237267,44.67131622973996,49.4242385860358,48.03705203811469,48.162004608743736,45.100354677837124,41.74847263678269,44.207908831907005,45.464979696814744,43.006966606227806,46.79465671500177,46.27761668995301,49.63424081917876,44.1126335557347,46.87944520253923,46.20673889289782,44.012060349553145,41.69083873893305,39.208866821928346,39.1509876223408,38.17099673611908,33.74920455668422,34.84859600333839,31.62242037181183,32.81289240900897,33.72927269024521,34.30999146168582,30.913424218820715,28.828774360823438,31.78422969471684,29.478924865191637,23.920907540643633,27.04121137204887,30.891036593845378,25.245747138680304,23.759550760296882,26.914435905364684,26.590257788162273,21.842712348739674,22.93622010241724,21.468457601450535,27.058280545708623,23.875264456714376,26.728567763938617,30.122656163650994,34.13963763719893,37.08095024490469,39.17182311418645,41.21717192402074,40.81936073861418,43.83720910010269,42.52790757216253,45.607043929168846,42.938111663786096,37.90721352242755,41.71573768072018,42.91116545614509,38.124305827171575,37.4617046568942,40.55931805882688,37.91598023617902,33.7605059844846,35.266109564412616,32.868088474878014,37.66747808682319,40.16272432155661,39.55690275935976,42.89752771883799,45.43899805816748,44.12982645823194,39.594542380265615,40.89173482567886,42.76996552275277,38.593203687628,35.99508292513458,38.49826259243669,37.355771462882856,33.287142258417155,36.51995577718095,37.591237026016856,33.751846185912505,32.866241687087076,36.16996161881038,34.441725024826816,37.665436703736795,37.52625794664651,39.91955176013472,37.12244568870436,32.353605759217984,35.80755017973361,35.35832099125771,31.829040693935315,31.163108155909935,35.52354378999673,32.41034396245392,27.680850462723974,30.432123096149986,33.11009640067675,28.14554606491863,26.144265346075827,22.601857011942947,23.41072354071313,19.69801348332907,20.590577360690084,17.106839818469506,20.349106346644362,18.834859781206312,14.73681886710354,17.066556128508683,18.15388300881792,20.899928118380693,24.359807924498945,23.9832805934694,28.318605150262634,26.63807375052371,25.995916911501705,31.490145026482757,32.86314961682841,34.05608143288178,29.15394826104524,28.396753529683405,31.56819430475364,29.53448772797726,25.0378825789624,27.62250235457348,29.763683788255616,31.853845770445353,32.51281189552963,33.211682695265274],[21.629862898583234,19.7612191007625,20.215415582537638,16.831458917897116,20.120472703462678,23.72264667878004,25.750970381151195,30.242346589748337,30.317735964998473,31.104096323911232,34.34321097855083,37.209735429280194,35.68498743614214,33.971523867688184,39.2085566419924,40.20803630721507,37.293181481423254,41.16268923462346,41.79637676123635,44.02462227236522,46.587921249399734,49.75348743534148,49.32362436262703,47.71925520009383,44.835255466032514,42.00093876267373,40.404159103123725,37.8070919584261,40.24973720128054,41.05092690106576,45.305962251242455,44.92661198188489,48.94203768097738,52.01513109446474,49.00074399162246,46.44923229972714,45.188920177655596,43.83971519100669,42.252960314349636,46.50734091188896,43.65916839851578,45.61873475155467,49.57668243098981,47.861688391872946,48.70907376310977,45.82422116920277,48.992255720252004,50.0147028141353,45.02655367594295,47.091072527935715,51.332933581189444,51.9515014420506,54.34024746543425,49.84948257687435,55.21621664856357,57.60248795667233,54.03436441142494,54.81818689160639,59.521451932718605,58.573059716376655,55.66523475462208,57.93416101975299,56.901134388080266,57.873395917355495,54.79951761165914,51.87981671115175,49.16999175288707,47.193302973138834,44.28510816246462,43.334162875587836,41.97791620244236,44.46736898635851,46.83665285657277,49.22711127860166,49.414947294352864,55.53891179505608,53.612417391825694,57.0380805459107,55.26359114915149,55.28141938830036,53.284244073040576,51.29719430207852,49.80061777774803,48.69379852428777,45.38038942350407,45.72866864171861,48.077945257001716,49.99819157582291,49.82613766639203,54.03765095444894,51.85693280944234,55.13058195454521,52.170770309747844,50.67677787707016,45.99820464524187,46.86943909585331,42.56287344506113,44.988318257707114,42.4894696566718,44.20081883098254,44.788254373064134,42.92545542143081,43.94553597397928,40.852437078158474,41.8762039449088,36.908926017826865,38.62149233712292,35.725801261970524,32.0106986037157,34.32498523318176,30.05053431238091,30.908235426051352,29.361101931461633,28.67198856020143,30.69902855767205,29.24155915102188,32.94596674401221,31.57327599840078,36.970792240381336,37.118867327210225,34.079412067846725,31.97333450997734,27.753838912510286,26.434352989834377,25.448990114592448,24.792250510011346,24.85117879301555,26.76475398865524,28.172211213629254,32.87274361683116,29.505501037460352,33.8029860587324,34.06475188139389,37.03692184353823,32.021723106914926,29.599020601982215,24.78868358970565,25.170460783242998,24.50233597689275,28.421045943491645,28.7743604381031,33.43466570003168,34.91702785590571,33.16869778826754,36.615264521408434,37.061080451894455,33.88808665298806,34.5886806529385,34.093924028932506,32.7976255406705,34.02438788214719,35.192244380890514,39.089794584568246,39.63053975772234,41.179490979072874,41.12549295469515,38.906256368653,38.345256832274174,38.984217331741895,36.70885085255539,34.738660311069815,38.33486734876342,34.489230413236385,39.073540829625756,36.58269344670698,32.381262252019994,33.434046810786725,32.60320599095272,29.316636407228977,27.628096446285554,29.353969560261703,29.99472707448691,34.90638523086581,37.80470065605953,40.30083291334859,42.068883123422935,42.14647013677505,46.80196020815136,45.07594382730616,45.153592656386635,41.75746622951371,38.66666834107885,40.76491010374958,41.80419204502514,39.32990314638603,43.11857797098206,42.722421063233455,45.8347054735179,40.236377335839066,42.86124438069309,42.08975485066371,40.043708999297095,37.65715689905899,35.26158182996538,35.29672099855121,34.39103223855076,30.12324406895952,31.498682728434467,28.553961782393166,30.048358098386757,31.28709545021036,32.185634159069465,28.68069027811872,26.655215929749772,30.045176323999197,27.992653162350177,22.21905935318292,25.693373458699153,29.996828781844886,24.54898323109891,23.21849320678603,26.733032758338698,26.642330396004674,22.0705128490704,23.383371772760864,21.337287924186477,27.243831934994393,23.23946634952399,25.80541515257776,29.543095304370127,33.17719190284301,36.5910349957049,38.14986157604421,40.01900235839132,39.228665192682605,42.0352580200001,40.51560767092368,43.35859717297509,40.83434976757226,35.61798977983919,39.17446854802493,40.279750812449976,35.50091028473273,34.62018063708243,37.448649717987834,34.8854119418572,30.824244266159404,31.889779790662818,29.96639806137754,34.76253808305733,37.429913228974804,37.28950439695103,40.684239650983834,43.59603369924829,42.164464820737706,37.52781158091783,39.35316775474468,41.336858898880976,37.01704898758425,34.632627234168154,37.58685572433963,36.633273617687124,32.54584329620669,35.906096480915515,37.34455313608764,33.755991485853166,32.74945730069645,36.04701379047208,33.9777598954675,36.84187800485722,36.254246075425115,38.533330822128946,36.15684031343568,31.14237122067932,34.10764752451229,33.87593862120103,30.494047462768542,29.194230104557665,33.53241990367211,30.788275769262746,25.810055026952124,27.98636066893481,30.91294835197663,26.217844617643003,23.736265023378643,20.4848096378061,21.440813618293,18.196642210173884,19.87068356108906,15.995026531632874,19.06624114808702,17.87582683451306,13.443618338571707,14.966781470741745,15.609181709507524,17.97532369796058,21.823779327292677,21.358864643613362,25.529749899130728,24.009299616861977,24.098624719392145,29.693579604928196,31.469760040978976,32.73814955895231,27.694196069321936,27.492013223047216,30.97800586996889,28.65186605753321,24.58322530849869,27.558502431663932,30.166823890114234,32.313671238085234,32.88704064763556,33.68069530580686],[21.867713708002135,20.009600544681362,20.529510470969935,16.03173745514774,19.372701346908805,22.37073413124748,23.856441610140273,28.42367823089409,27.873857191288447,28.197540878362496,31.27294732074637,34.47264038236635,32.80855635896381,30.63338094019621,35.875052134770534,37.09298773850945,34.05431101397234,37.75158368643481,38.17490244278668,40.71121837805382,43.144531349078775,46.5094033678703,45.90571599202433,44.40412118906529,41.64905840130932,38.606313121823845,37.295474025264596,34.645017532619406,37.15418074010942,38.18735526834547,42.02033452317225,42.11792994986054,46.0343205315284,48.96468507323468,46.1063597551842,43.41967405789388,42.55387293454758,41.04296678536893,39.62887579444602,44.23306121573866,41.13017582005155,42.65233600935203,46.74756563635406,45.106470437957185,45.834272679080144,43.05693913775151,46.35864751832743,47.454383955132634,42.57883318659036,45.02731177224733,49.161453223480216,50.014767993740435,52.2178440586769,47.59825732999568,52.959187209128245,55.197157544494985,51.40760031442453,52.1211263954272,56.8484146047158,55.782880600627095,52.6329557487057,54.72986748846122,53.62942727980478,54.38887968011111,51.44552424199507,48.62687025239236,45.561023686909984,43.65222535989029,40.46220299671686,39.53499819945138,37.996258036683244,40.311960553674034,42.8848250003697,45.30553649258995,45.76101019395098,51.906477041769506,50.24103672952369,53.76499262647949,52.19890843215685,52.38148238634473,50.69778125800463,48.93664123503929,47.687438662685615,46.83343570009268,43.377750067804186,43.41463977095941,45.39404783281155,47.40296338824369,46.80483155654574,50.99843019706576,48.55267784852511,51.62455497903795,48.69608031514368,47.37192850587809,42.72801638852528,43.48032802622961,39.20354013552907,42.047851768309556,39.79976086610303,41.95017858321135,42.43544465234864,41.1612027943786,41.982263800331694,39.429633274717595,40.75311052539503,35.94390816775274,38.17142028013252,35.59290715126481,31.95839489407506,33.844018065631516,29.32087448932641,29.525882246563526,27.49080933567488,26.472530087902555,27.852824733526994,26.21444165554408,29.692525328982242,28.189195660312787,33.279675817413285,33.526372316231964,30.340160540086252,28.393410683279107,24.19619271481326,23.25704411688925,22.706457093113624,22.639104300524668,23.58724095178452,25.584197861582986,27.57706618846378,32.226710868099836,29.46453307615335,33.98436310748678,33.88632099344818,36.52392356616565,31.314630645458397,28.412634278517498,24.134423193168402,23.559108741082035,22.21580631661027,25.99686760912415,25.865437689405507,30.58138221933199,31.87667913253324,30.35736772221913,33.94193738188195,34.310114010509764,31.20234842652132,32.085355315533505,32.00982496943168,30.666034299884995,32.445552986715064,33.35511553607027,37.63602654229458,38.07279401954152,39.186110118557266,39.187030750189,36.72309011948905,36.57527245614832,36.78289667150666,35.05719183580963,32.88110519935636,36.041994532593066,32.208929154783995,36.93793443771929,34.8681556607995,30.60670641164134,32.29574996378146,31.61028283959552,28.683225876418952,26.442516989540017,28.316063537125064,28.408348694982543,33.36659737691514,36.18722968039272,38.48855944601284,40.390408272086034,40.02718260810963,44.97685918524944,43.22299789146132,43.64318241852391,40.28954743965012,37.477426714374204,39.923951573536065,41.074852890401914,38.316981614771876,41.62420789769972,40.77297817522026,44.094465772327105,38.480253549179466,41.464060712119284,41.102234065547385,38.999972262273296,37.12953675409782,34.97460408357615,35.369583175384,34.96979762825161,30.647273838186265,32.40965053534729,29.769678060428863,30.785759323224635,32.66940625670255,33.111632777732716,29.326067612369492,28.096855624990717,31.595824800576345,29.01232246635849,23.618492046132438,27.602683071167945,31.50313405302851,25.739945640589372,25.01952208919563,28.651686019591306,27.86651515534077,23.452117410824208,25.576979363773297,23.803741862187827,29.82177760291741,26.541917168077106,28.627694648756698,32.3833857519416,36.24916217742665,39.80593282872993,41.32086345742387,42.75500240454951,41.77016646567829,44.34754763488202,42.40340475083955,45.474165002146286,43.33891420390835,37.78614663890123,41.09228637890378,42.632646933989136,37.94287402708022,36.621725718446925,39.38576068195163,37.37145476610729,33.26714416979851,33.50181197478814,31.708602815561004,35.86057937731607,38.80489669045754,38.767912067164254,41.81324957798605,44.82215611126655,42.89579049052535,38.45646170226992,40.59962063644962,42.136627990738916,37.55976581222977,35.67388816042495,38.56257040736489,37.316501616635435,33.488059807379635,37.31109739702295,38.52658809431339,34.7056839085581,34.32763861361614,37.87222692662755,35.99923971039496,38.83087087197136,37.99673436388774,40.646968481504985,38.57457729632445,33.27815783588401,36.29090841731376,36.559115872074145,33.203487669444996,31.591668385674375,36.346455356614655,34.040256450208354,28.781170881142998,30.725919290239695,34.19565734248186,29.76873539002753,26.999565765202796,23.610151249517436,25.266802196240736,22.17749865916705,23.615589897854043,19.213633334728012,21.58258105090448,19.529656479295657,15.727426013116517,17.239728287295407,18.45794957954492,20.177075408403454,23.81697534937116,22.22660698291865,26.181541677579503,23.801508319645045,24.278740620228554,29.687236892258387,31.735013845924122,32.296468566045455,27.275722257324254,27.687477520616245,30.791201732920296,27.719461894240844,24.19360349105555,27.716054727248427,30.22076966499796,32.493373976104145,33.239885560190395,33.941658590828965],[26.580447851325506,24.55440933867897,24.59888016601463,20.336231537296594,22.827655628032833,26.631795912186554,27.826139034061583,32.44879357789723,32.0762034567924,31.970871003502243,35.13686744369651,38.46075625027238,36.248583874373836,34.088394153221756,39.26294395969582,40.321240680836624,36.866199384385595,40.26461729718332,40.11385668557874,42.56607591502459,44.631530814480236,47.75714337896825,46.88383123123102,45.06729719930191,42.54178466450767,39.825939304342725,38.7604383402594,36.590558061403314,39.53930189406108,40.98782111581225,45.003341965789446,45.28870878513474,49.348252479717516,51.96623928782083,48.91654644529176,45.93632778559986,45.16204269905954,43.01321442552992,41.28529984835738,45.50124680943723,42.059797035133215,43.9702928518308,47.88647498664609,45.83304632224931,46.16873905219228,43.10054404141658,46.152008952317146,47.69620871536084,42.91549792420504,45.040572882111846,49.48465559388656,50.445263025726604,52.91895551903119,48.517918357045644,54.189957215716085,56.06522168133864,52.28196973494339,53.50886717710254,58.092314168211146,56.61693680673697,53.80312178151053,56.26096077960558,55.51071054365675,55.93683355442462,52.79505382099048,50.297305929443425,47.36128291873145,45.86041446043198,42.622089049800714,42.17840635436612,40.47470630197709,42.76105039549306,45.48252756111515,47.49413611370066,48.26427861908961,54.27533096930281,52.42336548201122,56.179897773824244,54.433412041610254,54.30955090888508,52.77965025676518,50.66770613865902,49.80629778861587,48.54108967301181,44.93298203579774,45.396806178824676,47.28340272536468,49.75555764138113,49.03294246768168,53.62077616801175,51.211740567060815,54.36634697338319,51.686496042853335,50.621782074032225,46.076299783793644,47.04387596324257,42.849715882758055,45.6855921855774,43.58364663947019,45.977344714089305,45.95141800375263,44.716825964493125,45.070652976031646,42.517079289200154,43.25209121777524,38.58453749635752,40.659680832896306,37.75245491396672,34.453959178534035,36.69285213322288,32.45327030804815,32.41501037123127,30.842565504445485,29.30275800602027,30.802825778431306,28.669088065441077,31.92916635882756,29.83571767564292,34.90196922192871,35.79757446996338,32.71365670692657,31.176259127317508,26.689048614905506,26.14227414718531,26.0953873492401,25.39377616725454,26.884894555990662,28.233309733905248,29.986544148487543,34.33629583103523,31.083935047037528,35.44669649236145,34.94107955290552,38.09109709792582,32.612617426123414,30.154302939170872,25.562403110447306,25.082205128669262,23.731864466715308,27.443714142599255,26.617018111594632,31.00937367481621,32.96406721170208,31.788475349389916,35.36533659937211,36.36939374190829,33.382104252772876,34.79798595931918,34.91568347291293,34.10460174942183,36.03470556632533,37.38818774578759,41.679901593229424,42.527028267415815,43.47107118571283,43.149854490910855,40.456333828252966,40.09758153265832,40.015482233753644,37.965135457537386,35.170793902234195,38.21354987369277,33.78551180407709,38.402946356303104,35.75150084396993,31.027989595028902,32.58716994196243,31.2072700617402,28.50560172194106,26.716410885963008,29.00574479742489,29.5617853533639,34.69839231209797,37.843126991328894,40.47229917465726,42.7413615842968,42.652092260777486,47.49423253757983,45.26244771402053,45.664835679186936,41.782897914066744,39.457371797412826,41.27570944923858,41.99053279705452,39.216828824698936,42.412405235387425,41.67135423166248,44.444797616760845,38.60333598037141,41.326602899397145,40.77955418760762,39.160055785486904,37.16545451319911,35.250694526133586,35.79242039083832,35.3786174173662,31.47091025023152,33.522103617652085,31.20530326359833,32.85336638152124,34.75840957284266,35.771051463740136,32.05341208538291,30.507474750636618,34.29131495696786,32.23096922959023,26.553117174636782,30.434138102455666,34.84855063171899,29.422124125280117,28.44330074339569,32.14422772612962,31.86950244243613,27.450336818776908,29.127415970579978,26.958814558588415,32.97017322668784,28.665074169220865,31.025610693347836,34.93157392493648,38.29108486205494,41.96266958391817,43.1621491731878,44.89023614239427,43.76174961453211,46.31495833713989,44.508108555923215,47.12305647251533,44.833929239022694,39.429286333529184,42.59394950878913,43.62514633580343,38.924636088026396,37.71683916362285,40.07743309077193,37.69079682411492,33.87602860254141,34.10161870557507,33.005197834445354,37.49130232142905,40.465645821732984,40.914195115066946,44.1890465356751,47.487983948744,45.707269935017585,41.114169750795504,43.553001067177135,45.38878511045749,40.83808557148579,38.911650855638676,42.130990693968506,41.14417468799796,37.20920504059385,40.84505887546973,42.374570688287136,38.80139459541442,38.03462379748872,41.409170357027875,39.239286313394494,41.86313100264148,40.88648363289746,43.170351409751575,41.193048062378814,35.98443611236852,38.53494449720648,38.57124762356239,35.352154668565596,33.475865513576885,37.748691404897194,35.36886414279287,30.279652516749127,31.780138714052423,34.84317166993351,30.47111985135715,27.583776606260052,24.830716198470743,25.606668261246046,22.87966182248217,25.195680723662925,21.297367165069904,24.123024742978206,22.88903523284184,18.576996674783327,19.472427210219326,19.719787032592482,21.438820107177186,25.58686153825973,24.582684825066487,28.33994467574587,26.476986702085476,27.572829898728152,33.047706431276794,35.307027326580375,36.126442523191045,31.04762461039507,31.653852188914016,35.0336200800558,31.983615565853142,28.612830332696877,32.127167400701985,34.822748371834095,37.04543595515986,37.64960449878397,38.38040988590286],[27.08696684900471,25.016302508703696,24.953001773879674,19.94730510201172,22.171713272629862,25.498133496063,26.08930901839607,30.684919644040413,29.818211664573038,29.182008539381446,32.18127325867946,35.77603622560289,33.3301173931688,30.806252594485635,35.90435047974891,37.09988422754035,33.48785682927191,36.652360183078315,36.235836069076505,38.93180273942507,40.83569043089538,44.10549063772005,43.065850238229345,41.327341243624005,38.937893305757,36.07017814869695,35.29217917720284,33.1450787536466,36.190585350268485,37.900221805233826,41.54713470913698,42.277839806069856,46.2487219316232,48.67009938426358,45.742557170972425,42.618256617666134,42.21543692331369,39.85451392469935,38.2663051385011,42.75045118015534,39.069247107456626,40.589405375216096,44.600504933378886,42.60191332517438,42.81342399348843,39.85057663946893,43.016063893215374,44.62540184163181,39.973655045535416,42.4467133850486,46.77290008965339,47.95127446629223,50.24790608430452,45.752548068289684,51.408870241766735,53.12346885679849,49.15003560279969,50.33573647814287,54.91727699595756,53.3225493867428,50.31528241135362,52.63818005380576,51.86140546110867,52.07715976224216,49.039684075230014,46.66257513374602,43.444897379784415,42.057212519588944,38.59581873518312,38.25496964999991,36.38926233952294,38.535261349072655,41.41632192518871,43.37555585464799,44.40012632943745,50.38530676148565,48.73193670590443,52.58669660525313,51.004367492849,50.99434431519162,49.7678412605528,47.84110461812108,47.24817817587083,46.191303129413384,42.46192970857723,42.66800846818792,44.19277267979989,46.781225964644854,45.6660520054431,50.26699913933862,47.647676730304816,50.63458587372658,48.03576031232096,47.16659178490128,42.701027289093695,43.617753806565965,39.50437401208042,42.65725510774263,40.824933634916114,43.640165553339465,43.406221771497634,42.7228904171149,42.8097317354079,40.7802623097863,41.71288789875014,37.26048107963066,39.77943460057854,37.17591558375342,34.02726480178917,35.87278025175355,31.506723423516757,30.825170496130045,28.910888190482808,26.999228837899494,27.890213712648585,25.52958065447678,28.491977716775626,26.208728918696202,30.95304296049334,32.02352530280435,28.859781671531323,27.56324632367358,23.101546816741852,23.006898114049974,23.486497206994027,23.21818510934599,25.59811678868594,26.884488384565408,29.11891973276635,33.31554716491414,30.65284247966671,35.15365972265232,34.29287435399229,37.106982991635995,31.49967009250266,28.655294128025947,24.652480937014996,23.260721643924242,21.271539493800486,24.755825811719877,23.380509752703507,27.756807646160546,29.566150805447613,28.65668728857738,32.327209554766384,33.320472484092434,30.445597321285835,32.094683406064256,32.63197089596912,31.888942970592552,34.324395016650314,35.523343317048294,40.10913430902048,40.96862901004679,41.45918566845288,41.10278088898882,38.1667772376547,38.14247343729318,37.61306000221722,36.04208496481304,33.00735640652111,35.587988427529176,31.156417335663388,35.85183362819059,33.59308953681183,28.844078907125663,31.009920098588378,29.78602983260288,27.48956975980135,25.190076022158614,27.5997736592316,27.633437318392787,32.75174730121754,35.80961196432854,38.255753477831156,40.66735666323599,40.201756120151764,45.26225927079198,42.97066986868451,43.690820740990205,39.84053519215,37.84261091876015,39.93032619951026,40.72681360129192,37.70467723777198,40.40137089443916,39.23335575393285,42.17046663231164,36.35039337774785,39.40033870279364,39.25942413750138,37.598909433250185,36.13054462945891,34.475676642508105,35.36312300804839,35.4455274376942,31.542222605166465,33.936800032697704,31.946259170936322,33.15367140920118,35.63979615849062,36.259114610179424,32.335008992632915,31.515421752618472,35.38426668799144,32.916001230032485,27.629791372166654,31.9146031690665,35.984066607868584,30.386142510352805,29.93698428786153,33.73660265964934,32.922882460501675,28.71498468023201,31.04924235379997,29.053349673453216,35.15707294962927,31.42223459444731,33.32492973158984,37.258228048422325,40.78743617018846,44.62703177941209,45.736397329290426,47.035162009062574,45.698695223268786,48.01155659245537,45.80277313886167,48.602855873939454,46.702475839648585,40.998982868652156,43.89672605572373,45.33749154483406,40.7500188526998,39.125438431982595,41.40602676706198,39.57680828058732,35.743877465711854,35.175003331829544,34.21415097637665,38.0528780392493,41.266328035906234,41.836854244566624,44.77094538929031,48.17094164079823,45.93978976728177,41.55346381864561,44.31283824271823,45.747024961609306,40.99121355053578,39.54897551027342,42.736617452626625,41.52946132115349,37.855985483246975,41.87376911893658,43.247191297480015,39.54203093651986,39.29853563334683,42.862750320616826,40.83440554112639,43.37403620243882,42.13664784559208,44.73011516904811,43.07732138930038,37.62355324032139,40.15944075740515,40.668601425693076,37.498634897876386,35.314127699393595,39.94884994489869,38.0105671881448,32.670620741927806,33.93906905970614,37.51779844314622,33.42623040604096,30.281804116083197,27.399061786291803,28.866510842007546,26.273197523626457,28.35993919613876,23.980895834608674,26.190406984884742,24.313493348568123,20.548375780104642,21.37775872980165,22.099169536371168,23.23838178171669,27.13158344278927,25.17331433151453,28.64029016821699,26.078294936848135,27.582086234446457,32.7946743120656,35.30868288779055,35.511292759024755,30.52644104571407,31.72610852989273,34.770651838041644,31.094580895815135,28.33692339609171,32.28659618284356,34.926714347511464,37.229682305385325,37.94735207450426,38.59671123712943],[23.70396423501486,21.401769643132887,21.036728003941256,15.96965247642525,18.05746723983885,21.496930345188535,22.164158905836814,26.780374433711938,26.184284156615384,25.788286972819503,28.95065928867715,32.34907358342841,30.001107461714856,27.8023715869759,32.96698508860734,34.023142221198604,30.593496580862716,34.05219439485736,34.113954266121695,36.590423142979446,38.84150882420597,42.10566393738976,41.40371649779413,39.798432748427885,37.10935530774725,34.17821669437372,32.98686137384775,30.57961656307641,33.38355747761668,34.77763828486371,38.70885328343313,39.04068026880232,43.0708548324442,45.68677864420546,42.69389068604693,39.75626788702565,39.05434730257125,37.06918044184484,35.529310607798706,40.06627242596882,36.72964178222505,38.30461006140406,42.35367214450655,40.574555606336084,41.16940926510188,38.34931046287399,41.632422667741025,42.83006186112801,38.01441580523122,40.51053790016701,44.68482889054834,45.65884772837759,47.87927839036773,43.29118620337029,48.77932272233464,50.81426628374628,46.960853907866124,47.87005064737309,52.541110160681136,51.28665605434632,48.22135124167873,50.46279804794169,49.539181348017735,50.13178177822236,47.08867698950723,44.420116828593656,41.4349709719108,39.75617856280193,36.5901539339852,36.00838065367008,34.41750996529562,36.84298961317805,39.39559230446586,41.49922290498064,42.09148712582399,48.142024218703185,46.325592453535876,50.00949370224386,48.33950662685463,48.36371838346868,46.85261618031349,44.966390259771124,44.04979389278947,43.07372184420723,39.471134279673095,39.6100694900773,41.40503205194251,43.731041905639145,42.945373527594384,47.413701868680796,44.9734166784559,48.12418435694293,45.405240708779374,44.315535005708604,39.77213928372881,40.77927281789475,36.60192674181676,39.429841499701624,37.40527907785618,39.9941652935013,39.84193968802555,38.89652994780564,39.15760152739156,36.928643397230246,37.965531240134816,33.40689210083203,35.89792522619824,33.36398613726776,30.092274512360632,31.878295886305125,27.46032027694331,26.95073008967529,25.05224317067439,23.376838613309225,24.588605333763148,22.502143465874447,25.792368141799113,23.928326179941685,29.05128905113539,29.661387618245016,26.566165269546936,24.90924222018399,20.462800439584875,19.868074727775547,19.930169723468406,19.539394591278178,21.563676536448533,23.00198951526503,25.23820860944588,29.574232093658047,27.03254212743701,31.598509160968025,30.976295556704418,33.598604655495606,28.136268559601803,25.158637474312656,21.16183352496372,19.93607274821171,18.19969139445188,21.87053152051849,21.289581590403692,25.93140554544123,27.406763932440377,26.084555859401767,29.70764482365518,30.402220537541808,27.393392225731372,28.728698576940634,29.00492504873847,28.144808903649924,30.386580112346035,31.6578851086731,36.15177648209591,37.11970266501116,37.71554865347417,37.30344422831981,34.460463134502824,34.29715301608458,33.99197340599487,32.28144579398908,29.521237444552877,32.37493663597874,28.202407490783617,32.93170957941395,30.8113422320543,26.361485159760626,28.376353099674738,27.600260489773383,25.005818864301663,22.534605566486825,24.641959523718633,24.57378701668204,29.621401809948356,32.55653038623207,34.93319420847732,37.14544714961907,36.750402155935355,41.757536307574796,39.66894133463239,40.26851845794688,36.644962274893636,34.304196636722345,36.61608364501174,37.62797258749113,34.681374709711655,37.63274118535644,36.59079904414173,39.814667611537985,34.1357971215573,37.22697136757472,37.058816541553995,35.06299384753727,33.514293045622104,31.636561034357335,32.37236345720132,32.409225309208864,28.274906753388382,30.52438169792842,28.41847210490588,29.35753897861283,31.90316986586124,32.321966756101816,28.363945721061803,27.739339776924247,31.568819691839042,28.95623451528371,23.82572775456912,28.240749886192084,32.15813316500951,26.567239909486762,26.337009915844,30.186485396807154,29.239968730545137,25.205703500070797,27.821098200837888,25.827008963989584,31.948459223485933,28.539732537935482,30.085276364139,34.013388968917276,37.634495304716225,41.57440129796345,42.63140275391277,43.65336812197294,42.250969922410356,44.47805773562728,42.12851159598337,45.097683183134336,43.354254935323134,37.53330643834541,40.409854526936705,42.12818907978317,37.58457847921493,35.822166433105195,38.263294226717186,36.71934972025879,32.75669260441771,32.05196245204181,30.80358661851746,34.427255763967345,37.64911472964568,38.081658545485034,40.90271720672979,44.248243370089156,41.938247876793035,37.6055452152627,40.36424606687552,41.698605590788794,36.918770890886535,35.55995398185454,38.73792926748246,37.50750748285638,33.89577151510672,38.006942254662896,39.37918590411145,35.71281431251974,35.58663684406771,39.1928575722534,37.18935910771871,39.65979877863249,38.32893322396429,41.05694969590083,39.539448191321455,33.991660437263036,36.56535515564982,37.302874995593605,34.15394125237809,31.890191958628655,36.76667064764987,35.06752389528839,29.59170045170315,30.877148958596557,34.79529875474378,30.858487850234155,27.63951640789503,24.529777152188824,26.648879964931712,24.110866660212043,25.889301111201725,21.15847704598868,22.88520282306116,20.725918510609652,17.320509671316444,18.075763741147238,19.198810790683396,20.06304442016588,23.682231791645666,21.346184554359787,24.81958018775845,22.08551206262895,23.510275413676272,28.69364976830814,31.21947500619799,31.3982796315006,26.41015417236696,27.687835585090436,30.74440827375647,27.05808845873637,24.38795273837934,28.42078522480555,31.180864113213726,33.50769092575102,34.24145278737372,34.93998413296576],[25.58020401315862,22.995586196125874,22.03344862457218,17.857769617808398,19.14563279325274,23.797766024058397,24.678943400058735,29.274927389258295,29.426945097026465,29.15335183529537,32.564493522633526,35.70268610043767,33.05921699112668,31.401723464625302,36.49234112223395,37.17168901118664,33.59420798500578,37.035395610071724,36.988143509098755,39.01982201283063,41.199071522681905,44.07206217270337,43.43594744618381,41.544547735425155,38.824497049681376,36.34327186726078,34.94951549989439,32.912280370199625,35.91262720883213,37.33039427167815,41.85611822580533,41.79733475626108,46.03651298471104,48.565883308777686,45.26832739292172,42.279303180518646,41.21558379012428,38.97664632313248,37.04940125632153,40.96665859259065,37.70303825097045,39.99598666685286,43.77591248785795,41.683380114855,42.20861521158672,39.12235779045824,42.12452868424778,43.458284169022065,38.57072421226165,40.478995743194545,44.93484041906583,45.72435565218188,48.28620172371332,43.958819957465494,49.637675661349455,51.61211917079481,48.00128929144548,49.28592395984599,53.83993881566765,52.48040381023365,49.88128062513893,52.5279504285352,51.8978520756212,52.54061017453686,49.23163843277145,46.63921466088716,44.17519952772368,42.673224264513706,39.84953670973133,39.55745684228326,38.108710191489244,40.75340547367225,43.10426187742719,44.88574762064644,45.33492341138968,51.25002792926681,49.00039136952875,52.7154409483165,50.692070226824185,50.33423257765493,48.59069352917514,46.24380972558579,45.337113889512985,43.839756688310125,40.27579427129545,41.00858759395766,43.1282243002118,45.665106077729206,45.256664136762446,50.00431846122747,47.89454732233294,51.334484399107964,48.764467418055304,47.67292693273515,43.17487406402499,44.49356545881908,40.35545413771958,42.69542176032262,40.52872230612591,42.8888373087864,42.401435347387675,40.936704507935,41.00631492943105,38.28846348942996,38.61472679128376,34.02597677175321,35.99169053150779,32.95823862767364,29.883848711826907,32.27639072340492,28.27699177040888,28.11634196969686,27.032650159809304,25.283159406931038,27.269318397448473,25.05906436281579,28.45051943620199,26.39907073427948,31.860770337897698,32.73382071555746,29.917140556118635,28.33854229641397,23.718406417936517,22.918939180802077,22.842487694562898,21.353492679883445,22.95169645570229,23.795380589065353,25.35505296815249,29.515996327450058,26.116307236713205,30.430422770461167,29.78525967407511,33.04977106865052,27.532898937082383,25.28276225708138,20.551377313796415,20.29966555696792,19.298448399109787,23.069266335262913,22.662336041595957,27.032138568360757,29.09349319613966,27.706462546226,31.151400588191034,32.336261791692685,29.346500530056232,30.850645978518116,30.841193359427177,30.441269646616593,32.29317373829044,34.17652223121737,38.34818410131419,39.800441784323084,40.608319050911255,39.84965694997227,37.03953329772902,36.31688990530592,36.18533140623397,33.70576339577791,30.6823203890851,33.88817829970934,29.31201684973839,33.81325606340778,30.893392472393238,26.211169115254954,27.5126966482649,26.185353065713194,23.344962206982803,21.653998921090242,23.901876965552287,24.678377134951365,29.81307048191933,33.04552627972424,35.83534337369595,38.17998785429786,38.40421322204205,43.049157263529835,40.64958362732551,40.91611038210099,36.8897445832232,34.62595685970096,36.203581137157144,36.83483367444167,34.1151423168531,37.45563358176897,36.93003645636916,39.62787932359314,33.824738204621234,36.42066928028637,35.75737002476897,34.07439185784235,31.976374528000044,30.025150940396024,30.571298934426675,30.226157366893453,26.37606432014897,28.599831830955246,26.546919662234995,28.27580021835318,30.490734914776795,31.638544303363215,27.89152102093874,26.569862578642052,30.61481458608556,28.736430810734383,23.16474946465216,27.291163382240104,31.862347090336744,26.757569548908663,26.062585302824026,29.961171912352977,29.79833064040639,25.74592958886286,27.69353697124682,25.17770564526367,31.269069401648004,26.70744651939475,28.514585163874415,32.59273121654881,35.66013353832124,39.726745715462435,40.44826499511844,41.80183079816097,40.311632045145515,42.58785263728032,40.51565464406824,43.01723087181465,41.003015625909335,35.4157167722753,38.28767728490108,39.43557057579436,34.84015390709607,33.33430313303437,35.51759134293441,33.46881492839615,29.712260569938906,29.36464061968827,28.566807427858908,32.80571973423857,35.90968852117105,36.683956174609634,39.880975583762726,43.42703310304056,41.50907441195555,36.92740757752036,39.78774154375003,41.62437922804105,37.008864708246776,35.34827758809358,38.88326705646054,38.05945608174784,34.21737009448974,37.94209004879817,39.743420194329886,36.45805445711225,35.673468034037555,39.01385368783071,36.627626787458055,38.87586154681459,37.48244122531716,39.732195645860855,38.22702334593317,32.842664620933576,34.96088414463102,35.35012969544235,32.329529587111644,29.89533824681868,34.24542890482945,32.413930966815236,27.129125431908687,28.08177623870916,31.571851823238,27.667479923132362,24.374311759349457,21.820030546701197,23.20991140296931,21.047249263061964,23.607382991067336,19.340747024049058,21.531153275575775,20.44056924475933,16.398051385335116,16.481411797002984,16.578835727801952,17.568998923813744,21.709579306518464,20.39730101534867,23.84348843965156,22.109012038145536,23.819172031650368,29.18923827039262,31.744746335066168,32.62209956891977,27.558636416882127,28.642401206684564,32.21204368112849,29.04343074076404,26.162327418781082,29.889510500489155,32.95817089941744,35.189776659606835,35.712651036319656,36.537866482280904],[29.6913386844957,27.18728944392406,26.264790494928775,21.74927972030705,22.77931111040448,27.265644821628893,27.668771333806113,32.24858205745361,32.028983607806595,31.178238850715548,34.441016323294704,37.874276343119845,34.83923987563317,32.824084609293344,37.79669565488067,38.552574578650294,34.62701755770828,37.642524257725185,36.943129503331605,39.16747397154974,40.89728813082445,43.72453799959739,42.69675249645527,40.62725278130699,38.25673813028068,35.89861337322649,34.99911727152552,33.34809464265652,36.71652243373843,38.62484243996431,42.86576913777476,43.342439249727384,47.55370113317972,49.73095926228283,46.4572972458164,43.166603630060116,42.51357630548619,39.673763395617044,37.66207632431154,41.507785162746,37.76852446297769,39.991862210023086,43.706191102109806,41.33326734214398,41.39132021351665,38.15123480271687,41.01927585128486,42.82932829055468,38.16551633766666,40.09579122781959,44.70686966678394,45.78397902647883,48.409357424749885,44.19427224144083,50.08838505580021,51.6207403345555,47.84878750315562,49.501056842639635,53.92783574431248,52.12667737054479,49.61928761591829,52.40325242494389,52.00348945263654,52.17859936721995,48.839168988231634,46.623328599707115,43.96068371106689,42.86473331483427,39.76473315264261,39.874712871134676,38.13819949159227,40.555811776762404,43.20451929732953,44.68569664738547,45.62905433039765,51.419211212883695,49.27539690218659,53.23214558960556,51.26442235573592,50.80983122952462,49.46258177909466,47.04401511061839,46.64840849772319,45.045912618326135,41.284837002378424,42.09642388807769,43.81369928252231,46.761318994250836,45.90270019548514,50.896041640528836,48.60019721249638,51.89697797476197,49.550608482983314,48.795386439413676,44.43266851447582,45.76950200698905,41.7500181488655,44.42136903945767,42.568480527233405,45.37873581708542,44.52631522872831,43.538414178618794,43.169863975649584,40.877738116021774,41.02252706038771,36.7070214516404,38.885849627895254,35.88986004416066,33.137426380414595,35.43580117227445,31.51979386368089,30.78223301559718,29.65815879777214,27.371510965688685,28.862267821781348,26.184788743701027,29.119802504287026,26.48986620507403,31.543014870013657,33.042940180544505,30.215358587950572,29.13562258270472,24.426308950442525,24.298589232066497,24.933767467094576,23.55231508231821,26.07284962934687,26.563669638689145,28.319852191211986,32.14242267070546,28.88869228360778,33.129936784068775,31.951246332416815,35.305282291844726,29.56251581511417,27.360707371986074,22.952847545917045,22.046742208663687,20.504520699665324,23.95338256224847,22.46159992635716,26.478524463062534,28.953615408188945,28.11124503090905,31.60955780465406,33.23640874457383,30.45373926167128,32.48333678463239,32.94187465243394,32.85408143506085,35.15858615278694,37.066286841969486,41.45380722560058,42.99856771980495,43.43293633793039,42.564914689613545,39.48334917239224,38.950601703265626,38.32326201968392,36.08151174236657,32.52489130265313,35.235686186796855,30.275399732125198,34.7254278463959,31.710601488995486,26.656788026855345,28.352438636101645,26.528851678709053,24.282785238866854,22.60517253403183,25.276352254996,25.980334661688822,31.175287415904073,34.54580367600484,37.393139221995376,40.08201336797455,40.16149745882619,44.90078063325825,42.154051965545776,42.66683180092789,38.31721122123478,36.674523835826825,38.00453812411465,38.36074554508819,35.45465584484652,38.27128877166422,37.47307873254941,39.83386770608948,33.87671934837504,36.50639783229915,36.019388478469025,34.75196066998721,32.98841955697256,31.469390876684905,32.39098796366828,32.39150358251685,28.92539012827762,31.543751657424128,29.92903158787526,31.75604357895145,34.26957135963825,35.489918780120206,31.700556818880937,30.609575748168975,34.77176911052313,32.92362324135506,27.463112583912363,31.659810826585847,36.23989467969085,31.15788808257613,30.55830805661027,34.471863931181204,34.23020809084134,30.19089343962087,32.19814777018608,29.69673438498635,35.784177323932,31.078234286884157,32.92651071148398,37.02879091763165,39.947268947102415,44.05324700952248,44.64404610186534,46.01632838000233,44.40594598088733,46.5681661558759,44.41115267672341,46.72739197425373,44.8055010329348,39.22242536769523,41.86348170030625,42.87729300986232,38.369181811391954,36.75809094257713,38.603399139197016,36.595697810059114,33.082062355213544,32.32517458213842,32.080820805888585,36.122447223277895,39.34542425507908,40.4547788533171,43.57653312317605,47.30106269230744,45.22905214923422,40.71117136233114,43.847440587967654,45.60525071305041,40.91646042808228,39.48447325069573,43.09808557879367,42.24959745423011,38.49987780637148,42.31063293927074,44.11771442573607,40.81823037308785,40.1400850398757,43.4966757374852,41.092638663010064,43.257846013412454,41.73379286553948,43.93926444857712,42.579663839372905,37.183635704817654,39.098596197330366,39.53646433079854,36.60638707564141,33.98636742316383,38.17330444134656,36.44330285815029,31.23382935983352,31.871799174892885,35.246170253237864,31.487318830105586,28.116199288082772,25.906190543452418,26.934211235919303,24.97054813203823,27.81431053325258,23.737120303112743,25.99087588930816,24.927307912741735,20.906806792492986,20.892190481976897,20.748672153592665,21.550628190416,25.75152668185376,24.30658474826381,27.43846991895357,25.570158845566528,27.743940978940792,32.950348189942545,35.700134914332985,36.308941514222184,31.305823732718316,32.739063613077576,36.17962009882742,32.66975144512395,30.129790518588514,34.047249827123586,37.063965892284884,39.315635118600326,39.85591761138194,40.615666475740355],[28.120604377985423,25.420492594979258,24.088749457488962,19.177684374792996,19.55169649302261,23.877202303784987,23.750695168332737,28.249935559490847,27.9437045620085,26.754625948081763,30.020330069158113,33.482852172338326,30.20390776397615,28.236021728798487,33.13615380766487,33.81204789740291,29.82330048834756,32.82564457804777,32.207990151174684,34.39212490045627,36.23469012912712,39.125004534970756,38.22514724079697,36.27376580889813,33.762312461446186,31.287362119342266,30.281557547741716,28.532251799192625,31.87761155628823,33.818214646243156,38.06840786851266,38.57956558635758,42.798117871905355,44.91152755227443,41.63254208016359,38.32816327931049,37.723520731240775,34.89561765652829,32.96327640544553,37.006270798532896,33.30102150201776,35.34621307044013,39.14812042650691,36.935835148880486,37.182871542201816,34.099370431721,37.15051522278742,38.70460561749603,33.98825894488192,36.19253826127366,40.63267939834058,41.72422175697464,44.18336796381716,39.82808451376162,45.628580810981035,47.26253890101003,43.43479307829978,44.89756495556249,49.38839707312901,47.72841960638432,45.06437868188534,47.740169119769256,47.25361458831449,47.5463806253055,44.23715479381991,41.907111836661976,39.26840286247193,38.0877414849625,35.08773902610045,35.18649481765245,33.54969211559606,36.11678936124098,38.60005354107177,40.06452705908371,40.8727736152854,46.665291094347836,44.47980209410051,48.40851000819835,46.4490598471456,46.049879253540055,44.71871460375945,42.412230967338566,42.025520908607405,40.582792131509734,36.79740540834183,37.426775662444754,39.07451015069243,41.984381897111305,41.08266407249084,46.056122752937966,43.770973386834484,47.10521160362679,44.77750071313502,44.04028213813998,39.71264252714172,41.14927292561149,37.18375853537928,39.78035941417396,38.01888444166223,41.00766310993198,39.92832542508727,39.16804756958737,38.61759757450513,36.590854443568844,36.852313174060086,32.67595534822733,35.16442982808664,32.43410792218693,29.796897482977336,31.771064609206423,27.814363529415072,26.61523100486327,25.378570922398836,22.839022182742042,24.146504776290776,21.378367261926428,24.285033472051488,21.704207086447138,26.871946325288597,28.26475660179691,25.49326198123505,24.41399654261058,19.679608366622237,19.604004564421924,20.48163653217657,19.10912583888969,22.229052985634496,22.573629611548256,24.66450310346402,28.36745831060489,25.651460030103397,30.01856178837565,28.65740695553302,31.63746597461535,25.85929542073969,23.302671126812676,19.383401482559112,17.79925316532452,15.899599430346893,19.298598232921798,17.859738004648946,22.08414981167065,24.305010808161207,23.38226301036052,26.926449999336672,28.445551791363915,25.670996021618834,27.766906252498096,28.395014140301157,28.429068259314242,30.9978484381515,32.95442933723085,37.455939088622706,39.202008267388216,39.318947602161145,38.29151607449997,35.0579901533807,34.61654422421362,33.74553175822473,31.69810569624094,28.026752117688932,30.556106915733135,25.664999071614297,30.197713655253086,27.509302765955624,22.57594832644447,24.675202181930928,23.283366902181434,21.167163221343873,18.912892354181707,21.527487151083832,21.768415249002537,26.940825525027037,30.205711379596647,32.91177323271902,35.627879804592695,35.523701178483755,40.36211064872376,37.64144209371694,38.310252674587524,34.07690162552239,32.51626171732761,34.14810282032977,34.68905353441009,31.622927928354805,34.221004200130324,33.18643781477773,35.86614478683131,29.988545204598303,32.91658194945258,32.73627465603797,31.18979324853661,29.800935296472584,28.350851391143088,29.474610637458444,29.880711533867462,26.29481376890331,29.129356252137065,27.77027209311558,29.08552292956756,32.12720524833257,32.94094457899199,29.00324349436489,28.636671068207324,32.83913490472819,30.658433464180746,25.672750879231142,30.214755947707953,34.431069173285465,29.348806382120717,29.295989817114123,33.2849833613122,32.61535684927766,28.93129731525469,31.54457096568577,29.149457390950534,35.2540622921019,31.15473602547836,32.391755960596505,36.49301355173164,39.5391859385114,43.84397244167567,44.28821162238686,45.12512916042711,43.28642776962613,45.17069030144948,42.59787670381534,45.13599797933985,43.65274829191851,37.7769458549465,40.145264709865515,41.664742412981056,37.309997990139884,35.25927415458982,37.11365671624808,35.78596486976692,32.201711829781786,30.657211690970893,30.383987924205268,33.710765768864874,37.1314253485686,38.295313381463025,41.057106156268965,44.848206118658794,42.37333081963989,38.07134311561536,41.50279786714951,42.89138445492381,38.05170768814056,37.089744886711095,40.70180146842379,39.71410543846298,36.23835564618719,40.36079382046744,42.08447670123728,38.78729382703747,38.54859576127647,42.03275815835089,39.73163837641597,41.72773366600412,39.90759394068948,42.4038627203625,41.43465111269294,35.82064032760525,37.67346337669735,38.64357262031988,35.807011963433716,32.86583105379793,37.45198414861548,36.2688073742968,30.813774147070166,31.226590253101612,35.22466827154568,31.84054391542744,28.234543783125627,25.824982457052794,27.809496513642408,26.01676063910483,28.4838927865335,23.88954077724849,25.336066850788114,23.715007662710143,20.393162120784343,20.182683199308336,20.592708968339263,20.694186402911942,24.456184771206342,22.031929232121033,24.815900880025094,22.347698233311007,24.929766359357917,29.82439232187745,32.81032462986419,32.95017939658213,28.07690854719351,30.081734905726204,33.28118992008167,29.32558848607498,27.435508704910433,31.684828030026893,34.756982541066705,37.05216065638867,37.655378508428434,38.384446841393284],[25.688121803527377,22.61930104197078,20.524399393916088,16.612761664747516,16.145885452393202,21.63221106296438,21.986552673964987,26.4106738879456,27.13681562167301,26.59098980435861,30.195700716544614,33.08560842367613,29.93123793799004,28.87915907286374,33.75758374851428,33.98645891470243,30.292686572859868,33.705101061491575,33.75396419961352,35.274591800560486,37.55317111928059,40.1133477287665,39.75215821661303,37.797356811680125,34.879462801707334,32.69697728068962,30.93916956959915,29.09866841060038,32.13710433904498,33.53426909629285,38.58577388253484,38.170922810504386,42.576950353951055,44.95629582977831,41.40179847930191,38.406189502448555,37.04364240492313,34.68057084690122,32.5325675458651,36.08501531355442,33.034374719146555,35.74422175640062,39.34368716337653,37.22512701231591,37.97165449924061,34.90366699408393,37.84039285322351,38.905410441120345,33.924543149577346,35.59935020722023,40.037221395027366,40.63666888289623,43.27856747118767,39.037750607736314,44.70577227894913,46.77787856307159,43.363300575620755,44.70474280787617,49.20945520153977,47.982096431436624,45.62351566223194,48.462627008794264,47.9726301467511,48.84324070296217,45.370964347620294,42.69479641740608,40.78003781677572,39.30395937280058,36.98130711697843,36.88393189347445,35.73865880142391,38.73843474395117,40.64848799717374,42.13778606234439,42.237044826765235,47.9879308270901,45.31218036003086,48.966451500227585,46.64824941064667,46.027794141535125,44.0721571164584,41.47111806180337,40.54757370661374,38.79314027162499,35.27778826695578,36.313886110232794,38.66634239814046,41.284498540362605,41.210720553979876,46.12181064810132,44.354069630943265,48.081410383374624,45.66893158106181,44.580126006148625,40.19236005141333,41.89940000375899,37.889761966100195,39.65842013905156,37.47653043810716,39.82768464341005,38.7623280933871,37.108496111284246,36.78559473999499,33.95782743404446,33.78663674119413,29.359854173174096,31.242956029327665,28.107317569722955,25.387944510631,27.89772243811142,24.25064653524995,23.815607281718982,23.36484252351221,21.30559265592158,23.8196938349818,21.531503439085448,24.975703838978937,23.006631872090136,28.81163590894767,29.657748012568362,27.22483754271342,25.66594936284905,21.03331793499536,19.988700198745317,19.94953857326464,17.46852104986108,19.32373531563478,19.4046513039187,20.743007396184566,24.56962503554414,21.084795479340023,25.33487274590566,24.428892588243134,27.790055437765865,22.20464743868496,20.202309296575304,15.392387213695542,15.341660697099494,14.818197076781175,18.563091070949763,18.710243598579552,22.95218715547914,25.096427115191343,23.47731614398868,26.71168627372295,28.12063445086043,25.18149572777516,26.815682832560263,26.699577968393488,26.857949448940712,28.65512465182062,31.15166475453653,35.158496910215845,37.31451785854121,37.88671510863426,36.61044181754558,33.65773115875992,32.53912052665738,32.28076416063816,29.342943537578627,26.000600227400177,29.331084304506522,24.59242889173732,28.916923639851255,25.70256964486009,21.099086369597355,22.116205581774604,20.904550784271898,17.92308824555283,16.291353954705464,18.48879539412895,19.50915222245846,24.61846545607886,27.94782060719162,30.914962117212145,33.37032946949146,33.941174995909606,38.34490158800951,35.732226972218065,35.87049578506974,31.66868892590319,29.54329344744773,30.8385981054239,31.372615353981313,28.685316265473567,32.1421472062822,31.83977870559225,34.464258081712025,28.72609596889804,31.200566386737687,30.445312007664086,28.666198694846628,26.512750308099708,24.55089711483037,25.16447181451297,25.00984283576511,21.25347580377028,23.779292308113547,22.185335285117123,23.920007473189152,26.628445262712045,27.866811405786876,24.106836239231377,23.246132944643342,27.55023007729985,25.87483729872097,20.688232717535833,25.04503020175123,29.623627030313422,25.023106345015158,24.77545438864825,28.78233229555853,28.66856043690812,25.205041040818305,27.47113175397086,24.70526526110059,30.679589493630125,26.080864924357876,27.119969033486576,31.28178586395662,33.974889913607626,38.427256216663885,38.59547105099483,39.43476394481041,37.506512606773825,39.38698650817888,36.95049146247319,39.32232221954753,37.7255512654007,31.931125091817943,34.35796104471615,35.711683937158234,31.320633488900974,29.379741044922618,31.29625499464155,29.808317418715365,26.183930863468646,24.92182332709213,24.568811096630593,28.304976121724433,31.596010659983598,32.799212532309824,35.810769059702814,39.649745462214504,37.50487056116722,33.01209579158949,36.416561888609984,38.17067491631057,33.49364824498399,32.26300490445375,36.12105554460227,35.467889652566114,31.84351976028909,35.66616789177478,37.7279889976494,34.808838705341394,34.09881457594825,37.367191738369826,34.80033448389389,36.56366453711354,34.65781073512328,36.88535017556142,36.009426633254236,30.47880327830087,32.03308411132153,32.91877420890526,30.204568654963822,27.09772385318946,31.515262554899163,30.45166104428546,25.039050650345125,25.240690006841547,29.261191624170095,26.074788112553676,22.37143481224638,20.160569454426415,22.334993634939103,20.954445910284143,23.58974228797504,19.10377267820586,20.306098160311784,19.343355631724137,16.037753443529546,15.10186466654259,15.090105591484058,14.875898118175197,18.73135719933402,16.84473530893698,19.676522378190295,18.035080733105058,20.641753062566334,25.68961080612536,28.61799092802919,29.45348966142969,24.53240574340739,26.283554782983572,29.941949073980812,26.612943086483142,24.507777885179443,28.430246468313566,31.834309579445623,34.02610486875826,34.44055505471629,35.33165862184063],[30.021987907162917,27.075137945541137,25.18093590376098,21.24204846769362,20.883446413637266,26.308052037392844,26.486049620446863,30.90063339096917,31.409331886444715,30.4890681240351,33.99213273780234,37.09862534341421,33.6375071340618,32.322045703543495,37.111627918656254,37.37270163810054,33.35672666068253,36.37591738196707,35.776891274718594,37.3897721580316,39.202197938075166,41.60587097034776,40.86355466361531,38.63653925586529,36.07060415494078,34.14856030458177,32.839422086016896,31.47935949868338,34.90870112720844,36.75527233592938,41.649379873365525,41.63611369652297,46.046724463449536,48.10755384218154,44.51808676478156,41.24392820533485,40.17367605638215,37.19493356762105,34.85902395002273,38.119533803699014,34.62651222095239,37.50361245104701,40.944465653831756,38.43329850307424,38.66770738777909,35.33107420441331,38.01285392159085,39.639264563998694,34.86541654019361,36.31040583604757,41.02534229790672,41.84293868541697,44.684336020818755,40.670912195912976,46.61046801972002,48.21973807428988,44.7402282226508,46.57757287963778,50.909895323255,49.20672267912905,47.10304665895942,50.202398291729125,50.020553112973644,50.44611173187392,46.86887079349377,44.58952380367449,42.61150314830867,41.56932653902855,39.0384217980621,39.36602011282055,37.95879656139946,40.7655961013142,42.95038766127252,44.110833402629325,44.66146278188711,50.271114358722436,47.603695976235215,51.49115868610583,49.14062893883315,48.32425636342733,46.67778269082843,43.870396172713164,43.42951054001847,41.4069379361858,37.736134124658356,39.04257009466111,41.10559647141802,44.161298915377145,43.76923144975594,48.96772686168525,47.10228731103186,50.751382950791125,48.56511706723472,47.771080879123645,43.503196070344224,45.25195373209925,41.3344361870321,43.338212748574755,41.38454457610722,44.032309630122995,42.66175212701605,41.27484300221093,40.57886286574882,37.977692329548674,37.45206492741655,33.27379094107429,35.11661628352021,31.851526144478886,29.47790059923712,32.1015190677159,28.672355103715653,27.93598752243151,27.610460275272334,25.148125118874443,27.340887329240097,24.62424372086449,27.65075131252805,25.072013515788317,30.53955518025149,32.05529009292748,29.64008993520112,28.54948857877317,23.798511317998845,23.349461778791845,23.88154258731342,21.420809282759844,23.842302942300073,23.57484550223124,24.83389012683875,28.266842823796406,24.60461498705941,28.590564837690586,27.224314515037474,30.9232313131998,25.1942381570197,23.573743172607763,18.891575198452777,18.59450914920966,17.753637701306104,21.14843572922174,20.188342687723356,23.952435773169245,26.729562984740653,25.659990872501975,28.88347916627124,30.858411702015456,28.134056699663223,30.274158611044857,30.49741612571148,30.973557920502678,33.018631556259876,35.58992547447042,39.678769209069955,41.90619136800452,42.29943760427431,40.93313469515191,37.80788792430487,36.74463744496504,36.14738252912448,33.2480499469267,29.41708926932276,32.371839179542164,27.177703311974163,31.344825629807552,27.751459335875417,22.692353198105007,23.784663430304885,21.7388264431382,19.306762010270127,18.151272216055222,20.836084025744455,22.13535082934294,27.26944055759295,30.81032931865144,33.95056726866493,36.738727428877766,37.360620144416146,41.718031265389655,38.71307947495317,38.957404930965794,34.33722751324211,32.82897673303488,33.58869261867703,33.684162307641586,30.946203800280045,34.03478410519175,33.677609281946104,35.718890141401694,29.784211551328532,32.04706289484916,31.223929550611103,30.05087034898792,27.964885836224976,26.421841131980784,27.291746181179754,27.237172600038956,24.062646572915778,26.848496799725,25.624278084270507,27.805419969636638,30.45772823690553,32.059590610946266,28.421089020722196,27.341062984798214,31.70905402177771,30.349839803345795,25.04422468198705,29.19795068331327,34.012241736606235,29.533005980502367,29.045839776271443,33.018634494200626,33.139916558076266,29.523229472262482,31.46908842759111,28.596888368098632,34.54863084150592,29.37015322733734,30.767644488983887,34.957548211679,37.34736766029756,41.77000025002758,41.801991390738365,42.9351256593069,40.98284619301516,42.86869690477958,40.595735819882734,42.58656849891727,40.853477355937045,35.278713219541594,37.575807578299234,38.45917380178957,34.11124000446624,32.32827287593222,33.8340972526889,32.00189058486565,28.72554822959459,27.494429968175304,27.809679224161563,31.73633246109464,34.993628813204225,36.55292509512266,39.6891747725398,43.676514356833636,41.64647629362811,37.119661747654064,40.64486076126227,42.55841609689877,37.94503663099969,36.683179998356124,40.6437289419253,40.09951736264645,36.426910414043604,40.104869261979424,42.26907734370853,39.408780212737895,38.503812302820606,41.67485830262447,38.99366145881177,40.70492007662814,38.807127596552526,40.76554283438074,39.86747011280245,34.48785027183696,35.785941788901866,36.414279555384006,33.78570863940923,30.64589008185435,34.59189436167648,33.370569573975004,28.21050006564899,28.151310905021422,31.668838568229546,28.48378871959695,24.815208226207268,23.14685373022073,24.383134184244263,23.178722348043074,26.38324626229552,22.384277916300032,24.12823047913377,23.608075683496452,19.877562575988833,18.93099446375217,18.25681890374583,18.303320463831003,22.44620010778861,21.144172857545836,23.76525284851069,22.469446379786458,25.287803354966904,30.27340032708692,33.24218493487647,34.13019325989983,29.24861019834741,31.009460610589095,34.69869241077596,31.346565561867372,29.236043982658828,33.12136572037416,36.48172456014173,38.66369322086224,39.05333595645736,39.92482844969453],[33.283663067500456,30.471815509858914,28.790637649448513,24.128561891991655,23.768558736614104,28.50229623203942,28.009384931718365,32.35292427438584,32.17539609106873,30.502233575615918,33.714848075758816,37.21695954136819,33.37606291482805,31.49920077390239,36.09876738374304,36.54782130615875,32.18445499059288,34.65830017298066,33.31234253815711,35.29247515079585,36.59009285261717,39.08774274966837,37.86514210620676,35.55100033440256,33.40505799242736,31.452613250787408,30.823103306809152,29.805928091830218,33.590649011291944,36.018812200715956,40.333963117947064,41.10228500414379,45.382016361412546,47.02831477763408,43.59265267578744,39.9875323732846,39.56501876890776,35.970457106278786,33.71334622110296,37.17054297230302,33.07212775877965,35.518290574832385,38.99495170702118,36.30282066808786,36.021159024706606,32.63783155006637,35.31831808597967,37.4269222835823,32.96127273180511,34.7666379663617,39.49762285145054,40.7592115783906,43.47827580997047,39.46507209235258,45.54900903257932,46.66264867810814,42.87255017019542,44.95913016080566,49.19042843466276,47.02501060283729,44.81078078939534,47.89113945391527,47.859647618214204,47.724761175720616,44.220300420233016,42.3529771841447,39.959029248074856,39.34048553519948,36.402523171710165,37.13143094383697,35.37069969418178,37.86459283584975,40.405184654494086,41.2844968009026,42.44253258708337,47.92376121490185,45.53055469654171,49.68057830780568,47.53522483689345,46.761543851187625,45.6970355832104,43.026911457657874,43.20514223198692,41.32438840515523,37.41116940440055,38.51359202394595,39.927428618330154,43.37747753840485,42.287627765337064,47.6552239137388,45.45877951101071,48.83204609372691,46.87912746581755,46.49561786406688,42.407520255431976,44.092339182012495,40.3444714811918,42.86029288788519,41.35571258233385,44.6249201440432,42.91203144559283,42.329258467973276,41.1680756165264,39.32910184148069,38.92796552990326,35.13251762079907,37.49739212640424,34.58350032501879,32.4986595999496,34.66504227212133,31.155517981798074,29.56396378384584,28.848649723671805,25.786041335946464,27.046977132165843,23.830485048299305,26.201302472594627,22.993349657779415,27.80447167815965,29.99021736028187,27.526618504173474,27.04650651315548,22.319669791138473,22.768553164943288,24.216377503223242,22.305905776377827,25.973170921604428,25.559318958835387,27.37981807303428,30.469659879682343,27.528274880948395,31.541861322604184,29.57808972214476,32.93797428616051,27.039150806389227,25.074590646055338,21.293305759815617,19.658215367952273,17.78824141390113,20.638621637457238,18.200509695012126,21.598768999194718,24.626708705407747,24.281454686700226,27.619804283287284,29.920113759268624,27.477530810711364,30.183935503349733,31.102830579030645,31.78549194117814,34.52237026269252,36.87998153550736,41.32730038467001,43.50727744059479,43.33877917738873,41.94810028433904,38.49038921002565,37.88061516241622,36.599619299373,34.34455878051971,30.01299773058168,32.15819386444851,26.7228054892815,30.900601475698874,27.65510277489428,22.31763080588029,24.35373955024852,22.103340585778575,20.651964783098443,18.98063896908624,22.042733442652324,22.709526899463373,27.795665214622083,31.307557649644224,34.276477911988664,37.402751262064115,37.5524276450241,42.16445305169721,38.9007107469298,39.61662875227184,34.8486628754594,34.07366735444289,34.944843500306106,34.94035580710381,31.85709094046367,34.040750389403925,33.051363167740554,34.9785839789457,28.958480400009467,31.56597960825445,31.302687619856307,30.43152282903359,29.15637394289294,28.210615000465545,29.649705523978618,30.273655459634586,27.38377832288021,30.595360919429606,29.830441537040894,31.607589827292053,34.79148693325633,36.038775948893125,32.24086447975521,31.822220807905047,36.20636384102817,34.47524859061538,29.51090401653196,33.93660323888612,38.42923494014346,33.7226819030315,33.59146389445633,37.60243493517759,37.24645268366426,33.66398328939631,36.04980223306101,33.40160003113532,39.4424471859417,34.69921499248856,35.96241823912472,40.13793625146515,42.69877091298666,47.147071193936576,47.19825090203117,48.10749435154677,46.042427782731394,47.747517852976884,45.18260691978344,47.25391987897368,45.826999614189084,40.09682741779623,42.11797742618305,43.24260563044827,39.046697429657584,36.96445335823121,38.26257722370939,36.863984016866375,33.71579442073289,31.788221037769183,32.39100570186604,35.667498350711284,39.12389006475674,40.85606621195835,43.662103948336814,47.743271601097675,45.2977790525445,41.003455166277384,44.8086455680104,46.343039195251734,41.55760245967316,40.74477670842942,44.62468723010877,43.8513677159974,40.41238865790133,44.40735334786812,46.37844958847916,43.331492659971545,42.88418285406394,46.22475991414982,43.705047305748025,45.42053593026669,43.37336541615898,45.56763172684275,44.86298187959573,39.33990139269441,40.66630518001656,41.59169388554453,38.98265702964688,35.70833950645072,39.837673923517926,38.8429584566944,33.5923938051768,33.416801556234105,37.13812060947005,34.086706075554254,30.356260974761085,28.619237543533167,30.040690817332166,28.75308044160666,31.800461263879463,27.5842893252,29.14972853241564,28.078617636005106,24.605979625435246,23.918219818817267,23.638015250741017,23.48368698637048,27.398098355635444,25.348694529773073,27.65273772480304,25.658239435084106,28.83770869059324,33.52487864730701,36.71030764978269,36.941384850632105,32.18951895013457,34.46738417116155,37.77729935925638,33.801569613926105,32.227501473370324,36.475977256655085,39.677558492081594,41.92732323294242,42.42632056530487,43.1643664027346],[30.117839378960934,26.990862937346787,24.55693774932925,20.214686377858108,18.6720763422732,23.814792930379305,23.045688906335535,27.20578789078204,27.592220796851233,25.984666819428174,29.415357252599772,32.56121236779171,28.55198779517705,27.34687075839281,31.863266264401158,31.92740821656785,27.688175261511617,30.464944043897003,29.71236173640703,31.186839959260976,32.967034625598174,35.33525157342176,34.66262346176942,32.48768007962125,29.83264105630975,27.91992434117559,26.580258348959262,25.354994694034076,28.924393838014396,31.016233896386744,35.917330737331476,36.07914319929108,40.50444713115006,42.29233888596065,38.6551012275483,35.241903836172064,34.3344349329772,31.067320932709805,28.723268711440618,32.10894725969215,28.483020806665923,31.236167993398208,34.715207084946556,32.269642421238345,32.60397759731071,29.394882089471444,32.25328400003743,33.68786940812528,28.895480696355513,30.663110495736266,35.23970636180255,36.16666247408062,38.845815717459615,34.69823529015912,40.630052001433704,42.20635075611851,38.618369208578116,40.38952674632337,44.746352268640706,43.06288156513095,40.851510240412146,43.92219358613382,43.763303454469806,44.194419494800265,40.60344840403119,38.320419652608976,36.444277224141885,35.48360792727966,33.122021921245064,33.662925789056715,32.36083300408633,35.32582918925815,37.28812275614697,38.213842023576355,38.70608368258729,44.200733048116014,41.42414606397716,45.3555114988184,42.970365475296006,42.11817560415711,40.61176311667956,37.85232997066974,37.64745264864485,35.72111184557418,31.930860913330093,33.11949000027847,34.97504637303326,38.186161679344096,37.63082944647901,42.942428635386456,41.10245004984254,44.79706320519661,42.7743785475723,42.1457421427134,38.03239935590278,39.99291541292133,36.25828410596364,38.14429523038806,36.44483722137467,39.46936742103227,37.54594195173674,36.61107156980275,35.40937037182323,33.32291165279341,32.75695302889243,28.94645651124557,31.2675340726963,28.38269045844338,26.407645864524273,28.548746715983974,25.227835521768412,23.573349198548293,23.27448885079578,20.190970713750925,22.06999587788375,19.036059801784386,21.777819923398084,19.03706066289393,24.53730889045457,26.184718861668806,24.009930827097822,23.17262338260124,18.47129924563378,18.310344413079804,19.450559495052534,16.75940922907207,20.377233690837024,19.544828933983155,21.255320742782935,24.230280798657418,21.410300075629806,25.47425484545165,23.544421755567818,26.7625372101469,20.876189545376416,18.871084616702923,15.106588358655676,13.537852250722029,12.113347436644995,15.198385869147495,13.943634461116648,17.741859225871007,20.46366630097047,19.474217421354247,22.704738266544176,24.84573867965884,22.264428385605573,24.775623616179004,25.397291009994127,26.327474532423537,28.855464442879132,31.60741275245336,35.84045718912513,38.466125520956055,38.27398695857129,36.57128636477146,33.14314614537682,32.18885716634212,31.04228544636816,28.39687348425005,24.094190743166116,26.600374351320358,21.245617531755457,25.447458937914117,22.13212518968182,17.007063175386257,18.826116078803416,17.16450684465457,15.225872379930873,13.191444105478851,16.06059730011784,16.744062997004974,21.88993739760526,25.39590672389948,28.429199771311506,31.44363729795698,31.850608466945403,36.30882571445501,33.128083858325915,33.660794711883,28.994158146037876,27.932997726900687,28.916438887944878,29.115300793066705,26.061318135114323,28.62867734418386,27.873988668145348,30.182744050927273,24.255398207783976,26.94127599160414,26.61855198174776,25.21742058639493,23.82672107896726,22.605202612623845,23.977136412924477,24.726487120067105,21.621990121809752,24.909366412842946,24.3305362429053,25.79840854847107,29.318634055293682,30.386467311932314,26.592004251347863,26.65309511187017,31.062122981553625,29.322402626100438,24.832852962483877,29.38407973221324,33.647366601367494,29.295482406890027,29.573568563505212,33.58483911900277,33.14191205744661,30.07039724587135,32.76767749115494,30.07542851853317,35.95345864606511,31.587653102040395,32.17005705295922,36.30499192148956,38.771072014441714,43.42889684784202,43.20867600753955,43.60510869707879,41.299207417824235,42.72477792769553,39.850887557846725,42.041906674895436,40.98854162984576,35.06746736522895,36.83458936198995,38.37067348637175,34.340709357835564,31.89836587576365,33.23560917385272,32.45088803510437,29.24080018608577,26.67440526642365,27.21530728765015,29.9369218962268,33.50186543925288,35.301424597140304,37.8685700965872,42.01787574230154,39.37764109656901,35.2159687561346,39.271405872567,40.642185873724095,35.8377071215158,35.3474658433622,39.32765485456008,38.619820194659724,35.399334219515005,39.47517632231944,41.53589376024246,38.73684662994387,38.44248995213758,41.74423442005385,39.20547057472802,40.61643548664448,38.26247477298752,40.567152897788574,40.28906076821395,34.67526858204945,35.760778059766096,37.140926330323,34.71983957233626,31.102129847886648,35.46891149545226,35.066962411109486,29.695352283536756,29.196207546339974,33.47396184228618,30.917250089627213,26.995675164852923,25.216180439851495,27.57276574162206,26.646815232518737,29.363897097688504,24.856048298607153,25.536090761570627,24.334892745675624,21.62144166640045,20.425031392907382,20.432695432631288,19.455022657597084,22.837973621254136,20.15240479135885,21.99280910077195,19.88907770221428,23.520465640117138,27.87418405419468,31.235364314470736,31.399709736887125,26.81599223014765,29.497986127187097,32.7875947335048,28.79094649903688,27.767796121295305,32.072298251971446,35.4655460065176,37.675069553501864,38.12659501918879,38.926579055210844],[31.421930542214408,28.173156788294484,25.433932539244246,21.718918674894635,19.801116120260282,25.5499695023896,25.018372937212717,29.086594320933568,29.97229456959682,28.58753111712785,32.12805447532851,35.02619517631865,30.97530289246289,30.179481863596617,34.59795276765687,34.41420323586211,30.22419551132998,32.993740179882465,32.27916176469381,33.370595823311746,35.118366717095675,37.142823343923965,36.58514914109357,34.251625431454855,31.587548119078917,30.067869741417173,28.540490547821594,27.58318296416386,31.14093168556331,33.129380954810244,38.39609386980054,38.210180246511996,42.72491725431328,44.47934527468376,40.66825018935999,37.31169830066413,36.096779495239076,32.77814749874479,30.18859198550308,32.98870070555671,29.559687495583358,32.862841723877516,36.059457990458434,33.43365454069398,33.762918125320425,30.408894920794523,32.98247799135762,34.448393006478135,29.654298247095483,30.853160436451493,35.59399901906579,36.31616856982492,39.25027875163647,35.37023470409701,41.358900918223775,42.91704182051936,39.59421577916323,41.60595848212168,45.83098637017308,44.13389274617135,42.31596317755089,45.64835601959522,45.687466355199135,46.210182017309805,42.467975513889925,40.23039765327053,38.80055836829083,37.92865593297758,35.8818154220683,36.5416847971693,35.3897505387313,38.466503859116685,40.240965119997384,40.98753165336736,41.31092536607623,46.657447298836644,43.59222857849062,47.466893500886066,44.841608185068424,43.72074121577923,42.005166144924246,38.92335715156132,38.674268337376816,36.359192431967976,32.68104796558281,34.33289856029625,36.46445542595403,39.73919292503932,39.53628699039017,44.95003370928033,43.39537429370611,47.26698543105971,45.33763104628893,44.66734786607839,40.611824238317695,42.7426214714156,39.052705798001355,40.56186637312537,38.74212654154055,41.516252957828854,39.43896866282626,38.090310645713686,36.81408073855429,34.348716353489976,33.24692716633262,29.464329615363766,31.315862001855283,28.07342218891477,26.312324105047356,28.885975204786142,25.961558730589797,24.656385097356615,24.96907716778278,22.02524416797612,24.456986620410124,21.553459271687824,24.330302125697592,21.680045673493545,27.246680801970875,28.924885812736715,26.98779777408593,26.131582555992054,21.51644593978211,21.10403979370763,21.953863458506497,18.668493984596754,21.68783616445888,20.470756841630276,21.558561187176586,24.294474094084073,20.813136873512832,24.563792723354275,22.610528506184327,26.348419500129374,20.5401893839183,19.282285914942978,15.010372272872422,14.50551812838393,13.975082840143994,16.92950315512641,16.106637467295098,19.430498402500547,22.460856336107916,21.384218780941268,24.313502011117333,26.715617464237333,24.20910746597772,26.680342968728162,27.00398903447674,28.19229991405259,30.33352281804726,33.44654409758975,37.38143875253462,40.28476220986803,40.28265715356665,38.38807134952069,35.06625867995454,33.715013261576665,32.776508902437534,29.58408415876097,25.24041499381168,28.020937107346658,22.554083212405907,26.419631704571664,22.477591219806477,17.346514982795924,18.3144669727001,16.123940203797712,13.924649954737333,12.869786905318108,15.751724890156742,17.280472599461763,22.299079740921485,25.963448016292546,29.27578398586879,32.306516805567874,33.21348231342847,37.30347034725317,33.95488937670988,34.18170407869288,29.274505737870292,28.257981243203737,28.5966041184598,28.463001246137548,25.66679901212178,28.587268585211167,28.34348313891427,30.167300449774235,24.246703965108026,26.40544031561192,25.592872677007556,24.475577286385167,22.551852973120084,21.267852026753204,22.46380036421803,22.899839947989722,20.131599742228865,23.415090662692354,22.990221677868835,25.051034715909616,28.31573580983179,29.909346454861122,26.34392722830851,25.954192186071463,30.449913492783317,29.261862213717258,24.624457264678895,28.894477279150955,33.504002043734594,29.571218185319044,29.58972242939216,33.56469249707926,33.60788193077515,30.602715065256582,32.88952240683147,29.927576249586345,35.66898770023937,30.6837935858918,31.319723020997877,35.48502633523632,37.51053263364163,42.241943658427644,41.73308357511519,42.286523279047614,39.891503304564495,41.29010039098327,38.59901142812699,40.414699678421556,39.22922895585644,33.50999094048406,35.18940285722239,36.31176631608256,32.31531873911062,30.02006177792872,31.084354899947108,30.018019654501263,27.04666456642793,24.590464648909624,25.597883756246755,28.672981390417995,32.12779151800366,34.217987493203324,37.01528108310397,41.29438600553219,38.948339903914245,34.65808433086569,38.77969331979038,40.48460791597206,35.848764403242775,35.177136900178596,39.37020707964233,38.95196673013787,35.62626425190419,39.402722184210326,41.737239359138925,39.22829035007143,38.52303229152885,41.61388520076157,38.844507687773465,40.05329435683005,37.63997171382209,39.5885105491843,39.386937474713235,33.94314735052937,34.63773078467264,35.82139765952185,33.56402508990517,29.799028851659,33.730535622304195,33.36471490755404,28.209799163615592,27.344538244544783,31.33034578372414,28.985488583767,25.024128730989567,23.76843573252558,25.699752529022454,25.205079931062787,28.32589944574537,24.21473519730427,25.01439870805374,24.494226876493656,21.59885271707445,19.95009697292108,19.296672432684524,18.194533017788224,21.738440896024418,19.79171710877855,21.454864467867758,20.192168941875188,23.943210177517727,28.307015570459576,31.633503615927264,32.2858436383343,27.733460542251578,30.232074453832865,33.8090750200373,30.228777285291567,29.05528448370969,33.10382590270511,36.65501887976145,38.78514341825037,39.104740529666195,39.994829741635236],[35.10450396927508,31.930688359801717,29.342318139990255,25.397686410169193,23.597686161055783,29.11688762324892,28.326957602447955,32.34890859549927,32.94116395537169,31.14634282190716,34.530539330784336,37.62866105573026,33.294307691579924,32.2334333862362,36.486966645523815,36.341143940243924,31.886068517339577,34.20756927968112,32.859412629099516,34.042021205744334,35.30248493366639,37.176986001281236,36.24384519384657,33.68792468409869,31.41053487727954,30.14153980751621,29.11184599702711,28.635527215767304,32.513176253281166,34.93868977998843,39.9352363013355,40.2000925308579,44.66139842774719,46.06532417327794,42.27729129134926,38.66762750247618,37.81919308918826,33.92672307361802,31.239158532683085,33.81110554107002,29.939433699757547,33.25106209953359,36.28459512067222,33.331941448664075,33.143553582596496,29.59564786466308,31.93560605155244,33.93430781139289,29.425915764948712,30.512148242190428,35.42949961993101,36.42457382686086,39.456477017638655,35.789127861583175,41.96690690000695,43.03866790655096,39.62211847155167,42.064034303225114,46.10114731161705,43.94588312658475,42.326549511133315,45.8467100882995,46.16615111543232,46.238174855771234,42.44191710759903,40.61416666550197,39.10367708404677,38.667039175215926,36.44469509384521,37.520358758735675,36.143336999600706,39.01971812245241,41.00678029370217,41.40931483328948,42.16520709465385,47.32333190116838,44.30980179036885,48.38817151927518,45.782542594937226,44.515069192415055,43.17506007164086,39.988667275076864,40.2614381641139,37.80328643095459,33.99024094279376,35.77762016863519,37.515316878885336,41.186318943442004,40.59860008105058,46.23420663681448,44.565995943836796,48.31383113248137,46.62998134145394,46.272849212436185,42.38198652365133,44.54260843193972,40.991876585311196,42.733397562798245,41.19045178657268,44.30180372696619,41.915830380577994,40.95854373727256,39.30352797527562,37.21755478804296,35.91796949359612,32.45907574026794,34.41471481357015,31.242140960045027,29.800087327776076,32.27421562623094,29.48370024066312,27.783166035904095,28.061065001548734,24.762153262802617,26.722475319751776,23.472251605372332,25.74161734848908,22.57069719866176,27.641340004894822,29.939821942764855,28.07473851662936,27.700917131545328,23.107038941175006,23.28194738322326,24.678364633399475,21.601295337032987,25.20015866471461,23.796158134323907,24.983860061703496,27.33920468066183,24.05170843247035,27.563193743127034,25.169877009378975,28.93182236297156,23.1219682635786,22.0409530171752,18.276489473521117,17.248866682327467,16.252383242363077,18.680138392117914,16.70394906596992,19.39009771477922,22.92771111917198,22.468609379000508,25.32962603859543,28.200639552041082,25.973051481012384,28.89603699399917,29.61750225031015,31.058592295150483,33.513270559295925,36.60739403735364,40.6623941100878,43.6114125025092,43.34067317886944,41.36855314890618,37.865033149681615,36.66577068524849,35.32982168177162,32.359501041593,27.61938315254257,29.872165422581663,24.122057086097907,27.778885954080778,23.7320369405201,18.33474202104005,19.618902495763002,16.787276790567937,15.506644823688855,14.701126536551374,17.88717444485796,19.33976598308286,24.188064773415572,27.908353966198924,31.237785694155924,34.5551159639177,35.3679868053265,39.440935596189625,35.77268614615814,36.201596269844586,31.020644475188202,30.67291516982628,30.667866755052398,30.19516989598403,27.307767646361697,29.62149569199367,29.162521801174364,30.476371459445158,24.469499626759152,26.52605441034465,25.853365260462702,25.32200639856262,23.773495125367383,23.04309088957379,24.58259082360277,25.314114426095525,23.093653030996215,26.58230878141501,26.518274108026123,28.672126962375092,32.02338229524254,33.70034108786213,30.182244497914564,29.861745568672916,34.37020732900395,33.24705114205146,28.640848825820434,32.880586296785424,37.51858661540127,33.582677328336075,33.57500207526668,37.55357837328354,37.588104529918766,34.50445925753613,36.761372886096716,33.79416400799806,39.564597746395485,34.3960345875477,35.172683270145505,39.34811132791346,41.24877394399998,45.969880247104925,45.37514823821884,46.00940330195399,43.55961172014081,44.88504684455629,42.20275119272699,43.80190744491112,42.654404034720145,37.05148535340622,38.54170126905873,39.45695501312905,35.58056542610463,33.29823989844688,34.02949857377982,32.92996550760519,30.248367923286402,27.615038141418715,29.085277508201397,32.02216024846892,35.479400153352,37.82135969762596,40.564427304228964,44.94212355385382,42.545198831354256,38.33555590473534,42.59923179852876,44.27522409463874,39.645484374319,39.095596464831615,43.317000975247005,42.899277458190646,39.62101149389942,43.406146144492666,45.747295683180596,43.22668222127699,42.54468702471514,45.62980007335606,42.84025546206306,44.008767607080216,41.5503228052198,43.409145367899846,43.27029094235189,37.87728953116231,38.429616283904586,39.56314702259368,37.372037131237846,33.56030878606221,37.26396811704153,36.89848971161422,31.875506135724596,30.840590989535134,34.58436773532729,32.31340294331492,28.379828699872327,27.38335476977632,28.886905483401694,28.463715481514505,31.816678136129564,27.868677328410133,28.89494882340025,28.427170710592016,25.358215870756244,23.800535347963937,22.968946668376645,21.990947248202936,25.604108618742714,23.76652257182431,25.25466915674143,23.98112613867455,27.87513134986325,32.11251549945153,35.508070845287875,36.00291406295557,31.52310659432344,34.16050989507041,37.65170185545117,33.89193049872499,32.856079369596856,36.992144473370686,40.49173643310287,42.63390268985218,42.95877581898103,43.79122086125641],[34.35983862715359,31.184557614917992,28.48634418238562,24.209967312882313,22.002372502264638,27.002936822025145,25.634555393776914,29.45593137017057,29.79049613947334,27.552784130074066,30.796660150086648,33.96218085658643,29.376741082248735,28.253949338368805,32.32058336345262,32.146359499827724,27.579508749605758,29.72871119246502,28.279351078907723,29.512668304589727,30.776347598769085,32.776999042276046,31.85857750630951,29.40779306339175,27.04729509116863,25.61939891559532,24.637803408799403,24.159516823387243,28.113449305414928,30.714905958128234,35.54681760090767,36.04051544198107,40.44971677823315,41.710787274580944,37.97806998111146,34.2822841446486,33.65206470065343,29.624693423404146,27.037666166184813,29.938949891246843,25.903787383799617,28.908758567435626,32.098233528042456,29.274686850303205,29.183768402806187,25.778805722946394,28.40091732631074,30.22468350671511,25.666211666552567,27.246330291011162,32.001085506788954,33.14137292775598,35.949462579165214,32.05425647123023,38.19680369763356,39.29163982805828,35.68585680007186,37.95505564982395,42.083047214184624,39.97774885047495,38.09671937041142,41.476687078236196,41.70789066147637,41.774633863034616,38.03297541852181,36.1586737164083,34.53510483940248,34.09917556543228,31.87599293302018,33.026831491729524,31.674710975608843,34.599228864665875,36.499748364363185,36.83835899291203,37.60233496565776,42.74656452173487,39.78525160157314,43.89813888778921,41.374243959876225,40.20767759817362,39.025332765930315,36.01666532956391,36.42978899991975,34.211714952967085,30.289258509518373,31.797597961781413,33.297007663247584,37.01667271797466,36.19777553146225,41.83928227829237,40.07944238174309,43.77933148831663,42.14989702796366,41.89679941320442,38.092104498599994,40.29885129301971,36.86289912271656,38.65681856413869,37.31566300179518,40.70577500839434,38.08821314089171,37.55727603047735,35.65966649327857,34.03943185335301,32.95566835734529,29.728354745287653,32.13238825613119,29.36498252250633,28.065011000320272,30.0561834889639,27.212141296809005,24.88640012953038,24.954681227963043,21.303118178819954,22.81604980721994,19.374846969955847,21.364836884436446,18.06293328140242,23.07166604646641,25.441456481672635,23.675825574072643,23.494657272165234,19.01451209291439,19.488323514447167,21.33373457002134,18.42152496262476,22.810235149655448,21.253834436854685,22.898506247052147,25.036765840441937,22.567441294655275,26.206976052500636,23.54990695123342,26.746815982897544,20.889861156041604,19.304070705887145,16.426600355888237,14.262451735266367,12.61410561947161,14.667910179654609,12.203051952096807,15.003870506604011,18.434463130812397,18.103158620453637,21.057199816487444,23.94159762438335,21.815734648131404,24.968744770980802,26.04341053846245,27.644313965798155,30.483375342626452,33.498375136505814,37.69755317147114,40.72688884422712,40.06539526284424,37.99955907417423,34.32145857344991,33.350458779226656,31.629341683796262,29.05630893304243,24.102048401234153,25.932500776758094,20.160464771361017,23.942857835775772,20.354996955299505,14.92529844160298,17.091235708745323,14.804584953886536,14.002675239515796,12.199071226031052,15.446253764117008,16.126109374408905,20.952125688451815,24.552400651670474,27.674849850983314,31.09807573139734,31.571477337244705,35.832471383597195,32.1559172630827,32.88474897012473,27.813269543921024,27.712760103157972,28.13398303404527,27.895344284276767,24.71322921626978,26.544286343151292,25.603939520690933,27.339523425891276,21.324515435566607,23.92959542413887,23.823327067579605,22.96508880090746,22.113972950165596,21.592389840548478,23.481627758617577,24.802347814996487,22.457186842593053,26.151439039194713,26.33287665794644,27.805957437323013,31.676973645451483,32.813713243419535,29.159967106808928,29.62081547373946,34.05719978531262,32.50733517015973,28.43320850606775,32.938120681184074,37.101789274060295,33.090564402901535,33.56931289308606,37.54703331889685,37.092977796596166,34.285100299487645,37.063680016267966,34.32294035529474,40.08032387956966,35.631763604836934,35.97751525990094,40.088094915290036,42.24149120115943,47.02609064829601,46.45993449556311,46.63594018642296,44.067073232685956,45.171223290442256,42.102826015539655,44.00179355760872,43.27353920780961,37.41369849093914,38.682454498867834,40.16068398419243,36.43978516492474,33.762138709291705,34.57506013479485,34.17303596251083,31.386123414577373,28.06419467274673,29.358949054390166,31.476076104189833,35.11614651993939,37.4061082006606,39.723558600959414,44.08972552838352,41.250712216104105,37.32333832891618,41.79288639198641,43.020267916554516,38.251962492812694,38.18567941578807,42.285661450038596,41.65912037904458,38.687324963777314,42.77647516233782,44.926114913967766,42.32997763843683,42.141205542326794,45.36736509323767,42.77274402161079,43.878606980854464,41.23405118023406,43.433238404452275,43.56777781596203,38.00666066027092,38.643794674890714,40.24712041786448,38.08546927290202,34.13995638748908,38.263605307903326,38.2846240687283,33.064373303248416,32.02580600431382,36.29434644385613,34.21487332563872,30.197522318290282,28.861700693497376,31.13723217823192,30.607704247010588,33.50540488155188,29.1370682870525,29.597042992528184,28.519348440165675,26.04212162043324,24.582110228455374,24.37400657374377,23.00480087806889,26.133435153453387,23.33574665311587,24.475155474534027,22.474906761802384,26.65007102822822,30.478493392946426,34.045884739453854,33.95495561354859,29.690026704744337,32.83458036484542,35.9589620515206,31.755199145753966,31.36067344074771,35.74808391723336,39.16306012505108,41.33392815895644,41.74344006291811,42.49028749718472],[32.636865201752684,29.247032378970165,25.94515581418674,22.485284929797274,19.37200400200295,25.039560438151405,23.848868981357576,27.468701166930792,28.6287427466885,26.84626340357291,30.329460708052032,32.986249579838194,28.480309702944623,28.179276418110657,32.17398851365386,31.59068469641206,27.3273055236437,29.847563273028346,29.106804444574117,29.693529927718124,31.42958039732528,33.124485156792765,32.80021648070752,30.44946974805547,27.643844315107096,26.466284834626492,24.6841158956208,24.066630691421786,27.658002806667504,29.726734738942127,35.27000055652563,34.92052403799513,39.480627813057495,40.96805599702243,36.99567627238936,33.60825012766439,32.26619348225198,28.706266385771965,25.927200889412756,28.351667336023024,25.03528641373182,28.673594733974532,31.66543432886859,29.01857461044751,29.53393482938771,26.254393940911008,28.788282045868954,29.967925202195243,25.13425065107518,26.195818177030198,30.889483770585827,31.501188502677827,34.457761677874885,30.644206256530435,36.626690493878264,38.20335298021709,35.011234283239475,37.08650753627951,41.24128633169674,39.624524151879605,38.00015018336183,41.477035418830475,41.66020790307417,42.325178546488516,38.4752369196259,36.22654210224487,35.29917646306526,34.53152851043582,32.96883225042702,33.8707563804585,32.99426720964093,36.29023435058207,37.645226850858435,38.0572095481009,38.122952737487836,43.215217344737304,39.82320989750004,43.64363525605869,40.80080410486842,39.448000206834635,37.66040666346979,34.38561454729903,34.27895208676902,31.764160161833672,28.091344671168894,29.992544797509662,32.179617645718295,35.59786438316842,35.574154836687356,41.119828870243154,39.848097791853846,43.89384577982281,42.18109880013751,41.60495586381732,37.76882181744675,40.210428737655675,36.76221422482225,37.81217622319887,36.13637664843411,39.00481596220432,36.325910209728384,35.06885631783487,33.27858720296283,31.016660406156426,29.461102452683726,26.113793385693555,28.03831490469816,24.956852037790362,23.805654242869878,26.173416547496164,23.74902437888003,21.854009116308553,22.709936312607415,19.377805849898813,21.927755635247,18.96032750727578,21.419690344182452,18.845470800051306,24.396373091919127,26.109911491970195,24.66836796644352,24.016545572938792,19.71880342233918,19.33161186498531,20.44346685441077,16.565022339361974,20.08942612720595,18.033495393395903,19.007507075204323,20.97300142480785,17.952502146419288,21.421311501546093,18.893756369745617,22.469303177466564,16.66335313085948,15.688694971313325,12.241501443617807,11.30586342557184,11.11304118303782,13.365738288398983,12.855847058477371,15.660845066397531,18.768942144858006,17.637051677776633,20.217597941635933,22.94989178382222,20.692649010996867,23.420410606254258,23.856043470370278,25.683351885782862,27.910917951786644,31.42100465289991,35.17997084390487,38.622480125957665,38.240431623673466,35.91166818420298,32.449192135314334,30.89330064936547,29.626284926098787,26.26713295705673,21.49687088094123,24.042582908352237,18.409911672978545,21.96269634845553,17.789695628909445,12.654337189049478,13.614348350450703,11.492575253106175,9.626314813408094,8.420544791495919,11.471587088974262,13.072159194742067,17.89047096036631,21.614572322918214,25.025178788309926,28.255619048635772,29.36545751135124,33.21506095382482,29.59788905996877,29.846557905143698,24.73888483465529,24.198430296641657,24.25267658470231,23.983876263049943,21.08199961473568,23.78471402288514,23.585087192577664,25.348905778736754,19.460550981389478,21.642888561015678,20.951362368049026,19.73946582711499,18.123224692594995,17.123902402450696,18.70899199662663,19.771008848260998,17.40871000693861,21.098130981385566,21.452519752045752,23.153149698956007,26.978132120137296,28.386234459457977,24.939523666706403,25.321669655181996,29.77499535149422,28.64691150272686,24.80060935254893,29.088028522314733,33.3184157540242,29.874155640299527,30.37857160810941,34.26600508457225,34.1409758890086,31.70829362044409,34.307288419135865,31.398679361580157,36.872895080951615,32.30242179941713,32.273305151593696,36.31976512705516,38.11203385243766,43.016435451497,42.127405339227984,42.12074197524136,39.3910922758397,40.33902958695978,37.25359369440579,38.99349145949441,38.36509427751403,32.552638110220904,33.653611755602846,35.113603079915336,31.506879391564667,28.739058345547072,29.455781319541735,29.236441713779072,26.54934968474107,22.9674564932234,24.45647668035165,26.509666854349963,30.114353854897775,32.584182828829455,34.95450488173006,39.41214225086506,36.73103159694635,32.76060890202776,37.352558515134476,38.76223890540223,34.13776400382075,34.0647217188921,38.34838105506397,37.988968069880904,35.056188838763056,38.91826310560499,41.30921941930724,39.088624412247,38.65400024401348,41.67268693765126,38.922081091357384,39.71800539415683,36.897755132792774,38.897146223701355,39.299026117169014,33.85607694019876,34.09746728172915,35.80953765244868,33.88003954302898,29.696160736588077,33.64643108178626,34.030034516123024,28.949455168487624,27.515508365510208,31.89558193633198,30.26890949338432,26.195644602477728,25.177220952774235,27.733119312845155,27.68715008578024,30.55111184919506,26.36785752167491,26.355665543760505,25.707069585161975,23.632916564889086,21.618104654661938,21.176128216638762,19.242955592099566,22.009978613050556,19.402800203048898,20.091974341757712,18.74139502707363,23.178598871832087,26.803349429612297,30.38808556435284,30.712955863777797,26.58137553082928,29.713807134989935,33.0546269291754,29.284014479843297,29.00493302925139,33.13270400133659,36.7559127084499,38.81830391673708,39.092255366974655,39.95371221614149],[35.95944390609327,32.564266661418586,29.297254775744783,26.11412660051865,23.21226375538361,29.183577161480162,28.244507356995644,31.88548258882393,33.167517629474204,31.444067967348314,34.923286917695386,37.57050937750152,33.02071816683153,32.72661512435388,36.65868541424938,36.02011993589993,31.6836272351532,33.9732145637988,32.87923230135643,33.33349619602276,34.71531446100668,36.0744339794116,35.55385685266369,32.929324405534814,30.440535474268366,29.702393824925025,28.171579910340192,28.00545736104997,31.739106739171397,33.954315401446124,39.516871571814384,39.20364221252084,43.767639171952744,45.06880950996467,41.02696303044955,37.56075694168322,36.2309721561455,32.357268994405125,29.379443679792832,31.162055653327577,27.754033119283918,31.77843712524801,34.418686938187435,31.41268556373236,31.520931490019347,27.981158172872348,30.051994780045668,31.68878624853693,27.11004114402772,27.523655569945845,32.474493961995805,33.092902791716526,36.34829530750886,32.9686151653658,39.08271106523417,40.293756909593036,37.29398893887431,39.85658275619163,43.748390507022364,41.805466211891506,40.65271344115845,44.43849704556385,44.94919609225444,45.36551562535019,41.391721522137644,39.46952136152894,38.76242647632576,38.32479416436677,36.793003503027535,37.97843440240716,37.008329527844545,40.20005952952588,41.64770007111243,41.78676009934979,42.0499017026239,46.93955850756292,43.42869678043674,47.322871750510785,44.348765059949415,42.72333473231259,41.0201317917563,37.45137552979052,37.616002038082726,34.71161486463243,31.098281637450874,33.4409227145335,35.5837710781483,39.25014290827501,39.24673992095346,44.954369100913425,43.79383913017003,47.849382403922334,46.320895983784645,45.8815543652079,42.15181035378168,44.655589578375,41.27181916006032,42.28189972507405,40.642927487751855,43.46900923179054,40.651345454641636,39.265484769822194,37.32755057705323,34.93911949445368,32.90710029561675,29.728295341999193,31.233442557739615,27.861382021623353,26.979902670630405,29.697921857870323,27.602900064086192,25.968029454308088,27.123176796105753,23.85962089056009,26.47360088943451,23.44866631838851,25.69518039676467,22.877405669140636,28.11495247670897,30.212957526703104,28.85796914156681,28.422406719386526,24.112478073649964,23.889270806424765,25.020221556708158,21.08932644654014,24.283446375523532,22.11043159175433,22.62598988768362,24.29208222763922,20.719923587870134,23.68970328810851,21.031056546433454,25.118962581032058,19.550549551576502,19.377131908049698,15.714466596478236,15.5430070990621,15.623561313738827,17.603998320373073,16.607972010775615,18.66947812203633,22.27701768088754,21.516983033883797,23.835295103491994,26.953826995141547,24.90350740972505,27.76166351764915,28.160055735136183,30.13941724871218,32.192893177651044,35.84433104469868,39.45573319555565,42.9841604628381,42.71040062831795,40.308959079519106,36.88603524077454,35.16186257144692,33.929834268586106,30.328449021074135,25.47461978898593,27.93600934528386,22.186691201930376,25.290178422944265,20.6017489320537,15.473109200647752,15.703842656534098,12.507841065078953,11.12189545304972,11.418951780098192,14.424755663075516,16.69769491648986,21.13760712220907,24.935938914759717,28.526737483106682,31.85734259933082,33.29137250916736,36.81333831686966,32.94144497374587,33.02474457475387,27.627249411620777,27.4733381789171,26.720693624247694,25.89886045108708,23.28816606655888,25.926288812248128,26.092165860386537,26.970195425238064,21.12712687952214,22.608459495964105,21.438804270191223,21.039580137346654,19.057180169223322,18.37540273134802,19.891387431117504,20.6524869601431,19.037723139910685,22.6797117693257,23.241097536125324,25.644481578319905,29.07123138268281,31.061935720785982,27.87227632206814,27.66758232145915,32.16341238247886,31.56930262734834,27.433444336812293,31.40247849409362,36.025019027941056,32.83125892263908,32.95786712491643,36.81513568568186,37.14807999872454,34.57209924788767,36.7101256658014,33.56966883518143,38.984481244900465,33.672416570089766,33.94975081741293,38.031307622287414,39.38349031745688,44.28032267772978,43.159810290848476,43.48998002683417,40.73781723662875,41.71402547516756,38.930926875733896,40.16173176627577,39.29938118618105,33.83295152448643,34.84909964936905,35.65555145689045,32.103259735291026,29.633021857816196,29.905902650570624,29.179639079624753,26.908878495991495,23.62115346097584,25.784447690372737,28.32059589165845,31.732148223921957,34.53905444466083,37.18260304307305,41.749726119096856,39.422676719959874,35.33632860064846,39.918277430637225,41.68739279954378,37.25682832972475,36.93322722251437,41.3711104064525,41.25706618660511,38.17101909090974,41.72423536142853,44.334935340332876,42.29341908131528,41.44268958718606,44.27506740288094,41.31413529072987,42.00344477208639,39.22449933597593,40.80441201756774,41.16353087002234,35.94931537731868,35.84826358926315,37.194346729909896,35.39589661362223,31.187069924115576,34.523892312210116,34.7626373707836,30.004032187855692,28.256967248138768,32.05270381511523,30.534821258884953,26.515086294876518,26.11791798439224,27.826234504368188,28.122409195501444,31.52307118349076,27.844907782276824,28.29147063069803,28.288462119823784,25.744468022888988,23.54104003018987,22.377334008219947,20.66471695801348,23.771068675740896,22.13185061730105,22.81606264217674,22.257892698890807,26.595010883010694,30.32022665601354,33.80069396593531,34.542479240216494,30.39635100454202,33.242508323370984,36.816158487103834,33.36320490444082,32.77109705622625,36.701379209263976,40.386863466171604,42.40228224425668,42.584782341898226,43.502313856845355],[33.61157988864284,30.23507751052553,27.065642996267382,24.15245219592004,21.608239348528265,27.84737931623996,27.42053478365532,31.238986384209227,32.69890294371981,31.467070934790645,35.08225861736173,37.65042595752964,33.4906669360414,33.2266076000606,37.42927403509233,36.90107622569002,32.783291893525835,35.47507678426931,34.809583010426365,35.3793076631178,37.08088126323495,38.64097954764723,38.27343167323027,35.7824086723981,33.10983540845338,32.101118252088824,30.335030584789177,29.735548204214968,33.238763571436415,35.10722532218141,40.785649425800194,40.184579072496454,44.77709317213602,46.4295807071948,42.41532443015716,39.1441343052481,37.5712470408832,34.19063993588666,31.328371654023055,33.34417952248549,30.23044408861265,34.16705892528571,36.96602233622563,34.17117861430599,34.53782122653671,31.087068680869532,33.28500101738097,34.69694477014389,29.95962012682661,30.43426843061968,35.28586711589439,35.72805902259394,38.93580440728696,35.43762550052729,41.415609243047605,42.94549973292993,40.000520908025536,42.27668790091648,46.300097503626255,44.62760410783495,43.31762311566677,46.94976984088662,47.23886294858271,47.89964228660053,43.99031336370065,41.81208258434244,40.99228385692411,40.23709796416945,38.64403104354348,39.47052928822616,38.54128783319926,41.77357646783151,43.251820823858694,43.737580627081556,43.815051029908645,48.9207218454171,45.4816785163667,49.25580623576546,46.32929815138932,44.863804982153965,42.9039831661039,39.4427735483974,39.16940343304441,36.38671939162754,32.89333253810028,35.10732234683907,37.54228227040704,40.880752839728345,41.11747048159373,46.63128314647601,45.46552614504461,49.55125711073682,47.77766138696812,47.082135441606226,43.15619502226063,45.527439137920624,41.95466771115954,42.94927271465956,41.03959204669049,43.54206181645605,41.17705847060582,39.39694832329386,37.938071970681996,35.1134044833676,33.30540221269408,29.711443126833093,30.98732983324831,27.403076120712843,26.080900436908404,29.071400279084845,26.777106388410267,25.764933623609203,26.84693214542714,24.029706642767554,27.002098131039094,24.261453630858266,26.97375213861481,24.47207461703176,30.03737908012845,31.728916512124044,30.14433768447109,29.311888794183496,24.878093136493497,24.23854890790821,24.85405023016819,20.940193868075642,23.377770373359585,21.598829514209346,21.924621775927346,24.126566995030267,20.037760987869376,23.205668516068688,21.149037600328093,25.417983612395695,19.88876782737048,19.64181847535392,15.169592390369383,15.80577456949967,16.241250139186455,18.8199444254681,18.51452349325595,21.17502261548537,24.44272002134037,23.28424007989234,25.75938247910799,28.44994382856537,26.115378418043452,28.54642460027775,28.566791168223812,30.146612688694056,31.858494691189513,35.41810148810848,38.947717630526256,42.25718826286762,42.38092267134031,40.189735614524025,36.982155887272796,35.16341675304846,34.39485356994176,30.6045649843772,26.214759545773507,29.197884624499657,23.70555991289015,27.03675111402804,22.436177300335167,17.531837905265988,17.391795201896368,14.650983872433738,12.301139442418807,12.63628877870622,15.312436835812289,17.76974521034396,22.387695216484016,26.140473949813998,29.72405257860267,32.76066070701538,34.268831597677185,37.834864722225255,34.2807252832183,34.14701682591179,28.998013496345106,28.150810735729078,27.636135367377015,27.05734696820594,24.63451165761462,27.886083962342912,28.278107565663987,29.466336377189702,23.70823942753288,25.16479517999702,23.754836830004262,23.008557760004926,20.490009888736985,19.21783011999512,20.212660616076576,20.335626747455052,18.219766869233087,21.50160954907571,21.489511623461368,24.182607771512707,27.192382735329012,29.37354151615268,26.185643439016143,25.44039500391829,29.950232535667066,29.46685664954026,24.94758168563793,28.79607477893856,33.65633524214077,30.399147720308832,30.241379654461287,34.093484149266274,34.658686682330305,31.916663412643874,33.78458784826519,30.56377442388645,35.99178531263114,30.433415998302017,30.941844870939747,35.059200817042736,36.44931314868217,41.28584474840214,40.3083378644975,40.903224233106286,38.32585008162772,39.56112869434018,37.0244997403621,38.32209492955123,37.11840821296509,31.689424276739857,33.088982247172794,33.73868895539973,29.9198383787673,27.726768329541876,28.318709211386015,27.091922088159162,24.56788313814558,22.004456633115947,23.76640389847306,26.998496118411957,30.294237874672916,32.83014975568199,35.78227941249096,40.22800997579021,38.1857654291683,33.86235798544685,38.1360516679357,40.15930907897099,35.777477465562086,35.04217626589143,39.46842598784478,39.41172328265549,36.0946052588557,39.49819571476938,42.151661423705434,40.07697075046168,38.96678678151274,41.760295038988225,38.74330026964494,39.58721345335991,37.019696547518414,38.51939866811831,38.57308486089305,33.39886120061141,33.47562210603695,34.53612440607093,32.60046347280817,28.585241878738724,31.90504123398467,31.794999494697198,27.013318163165053,25.51727481661112,29.17007489293461,27.34199637245458,23.359726632570094,22.89910923711103,24.410457340456176,24.62877993323836,28.11818385372992,24.56311973942789,25.261858306772925,25.52181350816937,22.71678835532586,20.488520211075343,19.10176049367456,17.644830839967582,21.05840844327861,19.93114407704054,21.079796461546543,20.846029696681047,24.78597650970419,28.89189679396061,32.18266818637334,33.30899441338404,28.961041744049908,31.364850399791862,35.1614195106859,32.041216500631265,30.93279543895943,34.6678817315443,38.374027280057746,40.38073427202447,40.539734510713096,41.51934975663637],[38.51505772632462,35.2557031069448,32.404060390069695,29.101754384803463,26.97422476441674,32.971848859515354,32.365562729730655,36.25511146854021,37.30621235296337,35.66218902579672,39.12445967310412,41.99008884450616,37.56343095523405,36.88968416971568,40.99355775463681,40.5809601892915,36.15098849856564,38.35566526819527,36.931888800016296,37.679793549664076,38.77474993975511,40.16995899514798,39.30106799033463,36.53631928597021,34.38409108956535,33.66389538632428,32.542846971982115,32.4759225250191,36.360073328512826,38.74271896657948,44.060651687755616,44.0289635792073,48.55773911824856,49.826624002321076,45.860700859986274,42.284209203086746,41.17280465367527,37.125158703734506,34.16735487062341,35.91999313670493,32.253853279552985,36.17160875708355,38.76522063734458,35.550948028363216,35.21922940655348,31.519933645377044,33.34992122220943,35.50001355278768,31.187360944847548,31.45766685135281,36.53355424568654,37.31700682093032,40.66859394815142,37.479151820168894,43.68866020577856,44.57535496248992,41.5251568501432,44.36565872634382,48.13124248845307,45.8483528240315,44.81527051666236,48.680224506388406,49.31992774827361,49.38724594206119,45.424279653275605,43.7789907363968,42.806619167828345,42.57884283171375,40.70301082785421,41.99405001320036,40.74967925336127,43.703038235101246,45.505903284137226,45.61865842453365,46.26847042950089,51.1754289383065,47.841203432080306,51.874326174828106,48.99715142711239,47.36901698208962,45.88574246397785,42.30633893391122,42.667242936434214,39.72065070102985,36.07493799911118,38.43332148632705,40.37621154774299,44.18678816153206,43.93043397720358,49.702094753444,48.35875049519639,52.26932730984854,50.765362575184284,50.435780571077814,46.66593609909539,49.023967066320154,45.56421102039815,46.92477306874939,45.316766826515405,48.21309212444528,45.58105177200516,44.253263149721896,42.423084922438626,40.02232388924041,38.050374805667296,34.781748558296044,36.17915062501113,32.671237305454675,31.622948194323317,34.51031914579768,32.25601464183133,30.85943441939188,31.767535486290285,28.576704101005674,30.981995883204444,27.83133485795521,30.029892942212825,26.914843071632117,31.898470951512717,34.317071510010784,32.73146734444203,32.416753071647896,27.9296616527893,27.943577298987712,29.14418479462439,25.571114751427935,28.6537978326463,26.843935311152894,27.370006930840372,29.275700021615375,25.406730847031053,28.313657741322118,25.82641023929102,30.10300886175447,24.606721791085356,24.464961241235763,20.498339963133283,20.44047798421615,20.20280535746793,22.35505438158137,20.69937861601683,22.676631820826113,26.51996883282799,26.09518225153429,28.540975136356543,31.74372490150703,29.69180550208863,32.62350020303413,33.10381076323562,34.86363782525933,36.953087509273175,40.41642028324733,44.143521326368166,47.409627550324466,47.283334436735394,45.079905216139835,41.6697349131462,40.071389928006866,38.88074412598936,35.386247537707526,30.582132952641597,32.969266270846276,27.15672239436344,30.281526992462297,25.596480977935393,20.394881727922375,20.66053968623523,17.12238979432205,16.006650015585087,16.554573170331903,19.567849199854003,21.841220368316215,26.289200803338325,30.09147121802156,33.67503882547591,37.031389044948014,38.39277760136105,41.974836372632595,38.06545521947902,38.17348671326666,32.719231892015884,32.63560462086291,31.731688134080862,30.727217627224366,28.236681549424965,30.727685737783293,30.866362454365195,31.355017594214996,25.538562208863826,26.7617337456041,25.477022300226526,25.58951592676758,23.52853304521934,22.977616714704684,24.339968267597563,24.736669565417333,23.309490560848978,26.705288528816787,26.985742559096206,29.810411877431978,32.786831336433394,35.086793260009706,31.93877223551714,31.133302570422074,35.63402441558394,35.20637769963311,30.56018740877829,34.36038484736725,39.320390885076336,35.94253317384606,35.64040518127619,39.508982489239344,40.10188611061752,37.12375538700294,38.874941359942355,35.64305208052249,41.15581000266798,35.275995694847495,36.134979751989434,40.266854482147046,41.526961388056144,46.26809246710407,45.2638424996768,46.11341776149525,43.56161980243363,44.795099516840324,42.391973544184836,43.38951336030205,42.10803116461245,36.92671122469376,38.18516072101447,38.44668971943952,34.761947469557256,32.736023283870864,32.92893396477651,31.466370451180683,29.33785079689673,26.85951957405869,29.089802642892472,32.31857566617326,35.5446668921118,38.304243357034366,41.26286904845282,45.77354581265403,43.75873636132026,39.48917079145404,43.81966168645355,45.87120962218433,41.50941222704482,40.79643095206449,45.22770385547088,45.16143688425322,41.817381293932726,45.20267690579069,47.85190227204642,45.70181945425619,44.55108499285661,47.34323269272651,44.29998506097131,45.18302523977566,42.66444479167011,44.01754777784891,44.01032883886016,38.93754657818523,38.933368548732666,39.78552542751889,37.87829754188548,33.94579069458514,36.90710238399733,36.61465408020412,32.05842391163819,30.503206066149527,33.64994078901203,31.778644695980052,27.937156855175147,27.762069863772968,28.503693024961525,28.699468293383955,32.53545655611431,29.241200759343855,30.429544300447155,30.756062213132132,27.542950754431878,25.56433759005892,23.963891761259806,22.92061172408292,26.55181468186555,25.656948941828517,26.823455316500645,26.505530101474744,30.46859750694757,34.59047556803195,37.914704880469294,38.90564885765581,34.542409450806794,36.98923242436693,40.73546126321503,37.416386212219855,36.275659693755735,40.11820801938118,43.75398538837714,45.78867988493901,45.96108387884232,46.87793486464624],[34.92423219675336,31.714008243148065,28.91318146700476,26.648925929323298,24.94934449967875,31.402883308284004,31.758245793744937,35.726444543623046,37.38182239184139,36.72539202495814,40.42952485840261,42.92028974738586,39.19077919452169,38.90038774543031,43.33230937675021,42.92010468458504,38.979856839615394,41.894616074027844,41.37750550858529,42.02235433843274,43.76940535397417,45.32351393740128,44.927663473210195,42.391300384462895,39.77921884420242,38.77877318497395,37.00641058497826,36.28649142755898,39.67452575993311,41.31734016906557,47.06164108945027,46.239285532941224,50.838385665754096,52.72438310941836,48.71619581652734,45.58340355550723,43.815502332846144,40.705395206643274,37.845709667826576,39.67887609479017,36.76287982462899,40.82199952739488,43.54572199018584,40.70520367749689,41.00406929775819,37.47211711279218,39.45762453148335,41.0023133565135,36.34261434355576,36.45395264705108,41.34881760200896,41.63510638427695,44.98574573169346,41.691868350918455,47.60881845881279,49.174720400671504,46.41018756131898,48.75351779574849,52.709154663146364,51.04906940940762,49.91123371892061,53.60003536133589,53.897818756000106,54.592024408360786,50.67098830432858,48.48832705450417,47.65482632208473,46.82636404469714,45.13842067690945,45.80004040868534,44.81137953867182,47.97251390381528,49.59347509960781,50.25304727848904,50.33160715675636,55.52731839379167,52.113701838393695,55.83161682781896,52.88456046239615,51.405631926211626,49.27463303023122,45.736653019282976,45.22574102251825,42.32304678867503,39.01311727795716,41.365604252771675,44.01981784931014,47.201858309231355,47.654879124725106,53.077401781104285,51.95256492992122,56.049891854493055,54.14725150184752,53.29246311349368,49.235541403641335,51.47741904782144,47.74757836303422,48.75531710429907,46.60337755110929,48.72370867441383,46.798101653977795,44.53891815301517,43.51751051639849,40.18502596373348,38.329555128168714,34.475286228635795,35.17429428949911,31.246674376659456,29.657725847362713,33.1105874030106,30.87358412992712,30.732486164864746,31.85572514603975,29.57478347834415,32.82601835726068,30.319452818930433,33.29521453714567,30.90169555125832,36.53041121122851,38.114750239916404,36.33483371282145,35.281714121437105,30.743842804186492,29.87057913227149,30.021874633614242,26.264416673068645,27.68232172151504,26.360836136138023,26.20453504413349,28.698510645774512,23.888281220764167,26.724267876388428,25.342302282857922,29.975591619934686,24.86731266384081,25.023292264570124,19.953397048867256,21.587160027500413,22.33065389011374,25.20584664364638,25.084125971625507,27.83540524850948,31.111931273166675,29.86922913723016,32.35102191203496,34.881429440737726,32.42298594829764,34.53262916762272,34.18780147897243,35.408135791970345,36.63659731194529,40.09714012128486,43.404825667231975,46.444037749222865,47.10651804806679,45.153949865295296,42.239790683264474,40.25498618393967,40.001768213236076,35.935458663331175,32.01811606590943,35.38666377007469,30.09160282484976,33.350098732362596,28.593491228211132,23.933995478373188,23.166764253776257,20.306330136761268,17.696091733924348,18.73276874052589,21.022752688193627,23.844948627083916,28.305122021405726,31.99577829039048,35.630580624070234,38.41210576035339,40.17213249550766,43.55122039028178,40.177034341348644,39.72575428848777,34.69486336983307,33.44406853455156,32.63399724589975,31.922851566962,29.951426083141655,33.65565144076281,34.46975010687283,35.34779955353544,29.77613034601203,30.709750817047627,28.798288337688433,28.333599175006476,25.167916030637038,23.622999431599375,23.967336942792983,23.11817780154444,21.207890084734935,23.72881739982325,23.138991428687365,26.63548927793321,28.57372635238324,31.42211860330615,28.58707006005966,26.638000571508123,30.980344738164558,31.129762616670167,26.01679104874856,29.199097134561658,34.580229232149556,31.535845421009878,30.609031294021026,34.28680787800838,35.58099420767984,32.51669659267467,33.47593355903367,30.036222708526942,35.26113856743691,28.720245499088776,29.961716769654892,34.028643643751664,34.99819207057986,39.582418573905976,38.64484731074403,40.02219693754572,37.76587113616386,39.39841022693874,37.59612280309634,38.45650811210229,36.52725460344145,31.703042367365676,33.53117893991566,33.25312553423563,29.238203188104798,27.888732082306795,28.462258592567395,25.972437471165954,23.65548360369591,22.719528171690378,24.433198460596522,28.900617477473777,31.71556502404787,34.085202578809785,37.61371327509242,41.87367894416829,40.57460809858482,35.95448144129527,39.67185045523344,42.30671916516401,38.25615132280923,36.76847750989204,41.18703115250484,41.40958864337663,37.71902112064747,40.55712770546336,43.39654926449818,41.453958080589054,39.630399043830856,42.13867315311717,38.92085187245278,39.893647297125014,37.75721065964645,38.70308453869512,38.234578524541575,33.50254330361429,33.53036016219754,33.732006289573675,31.770063627957864,28.226363434624638,30.72765779267555,29.860341293071134,25.610158831517786,24.29994239512326,26.82271693155817,24.625212414502283,21.006392694893243,21.18717375360546,21.140412777656202,21.576754416681997,25.723429785307644,23.137871004912483,24.761947792700923,26.015138506903916,22.48076413901189,20.275818733483625,17.883205734691252,17.34761520918266,21.280877589521776,21.873594227422274,23.563162025286182,24.311533559980596,27.442847914712864,31.952933738647893,34.81158555236241,36.705086914264605,32.20751776620233,33.73236975507167,37.89306511023683,35.492096914764595,33.49552907505747,36.7149699387035,40.38605940805749,42.2923483145709,42.33142880619222,43.39264444092255],[34.16620650417401,31.0954853028666,28.769630435696904,25.7205002805106,24.69447013793149,30.756371103354308,31.028014684625862,35.24454527077657,36.3345738984384,35.476213916019844,39.08432578627895,41.92703933783138,38.22850634970479,37.395315878171026,41.98766690613998,41.89318076994786,37.81012288381028,40.66554827785501,39.90284556193886,41.01496049903297,42.636226680254666,44.518899963012174,43.82827615879587,41.32640636423612,38.85959265877966,37.53811372812698,36.12189925267494,35.26806560509457,38.809787041620474,40.687167156162616,46.01755737349685,45.68177737571968,50.21169088138491,52.087543742080335,48.24838978944008,44.954249905392345,43.58879559018966,40.33226525821706,37.63779148440614,40.02646591504457,36.684451820129524,40.28143053888342,43.27862989592625,40.436218178431844,40.513419699839254,36.95708212586048,39.15637609841899,40.96324157752128,36.31967163087221,36.94533261814598,41.877203509638434,42.48958957979524,45.6907059863663,42.14704082433931,48.18554480002842,49.60484987955596,46.487363876546496,48.78751779965357,52.858407837915934,50.998712186048344,49.518832362511226,53.042138545220766,53.23328081998096,53.647230510441474,49.83842591788233,47.75132625416552,46.37757329670687,45.598426103931544,43.457168976052294,44.106017892782724,42.84199915538785,45.78168163290748,47.75232229213809,48.53099995001938,48.975306255402096,54.32124712603324,51.243715260924276,55.12441434522761,52.43217456409887,51.18387313331967,49.37310390321128,46.0884541842456,45.76777039895678,43.169034619271585,39.631443493544836,41.60416595878968,43.90354508656672,47.181498336396984,47.14791495233266,52.576039890151364,51.079010116346204,54.95445811378577,52.991151532506635,52.253763805499965,48.12410109033658,50.15586606595356,46.353512026187715,47.892055413374024,45.88382272240925,48.330621444380654,46.5778271720729,44.77651932086144,43.803425304228554,40.8465855303712,39.49543686078236,35.53135038360851,36.7470048862251,33.061015572670144,31.172492154835957,34.30664328202151,31.543440501064527,31.069914259726175,31.563906825285237,29.086618377821868,31.806144383601424,29.07448350920052,31.97613653612698,29.30895446179443,34.77424759633731,36.544878596547676,34.47988597143594,33.54079022036344,28.853850658715807,28.315610053018975,28.769482550370036,25.566450957036935,27.56973401810389,26.65632510691686,27.133768404661613,30.004951834538133,25.62723777316064,28.959907966082984,27.450749035835354,31.77986236632554,26.300647173388302,25.734823950587828,20.791453757646874,21.502639318950877,21.46254851346982,24.513859380856736,23.693141213118203,26.738275132364066,30.021955767775374,29.02613220408579,31.850489879699666,34.320303987138914,31.78997409345926,34.06942332271384,34.07078541746147,35.03450318637527,36.70229316528095,39.79014387309824,43.49597958651209,46.18070082426364,46.69437459328161,44.98850600613032,41.9223851250952,40.36346360501085,39.867701008039624,36.319653864724515,32.282279456358864,35.37757474146366,29.95693976224434,33.59973594826488,29.223103518146967,24.196221719013238,24.3059556738557,21.50309084627533,19.156113362799037,19.32990089561757,21.985029532158062,24.216424986179327,29.03651448550077,32.74886148342167,36.2315339080384,39.130653043776604,40.394197227953924,44.22359090878278,40.8829968834921,40.7803550120915,35.78275621973919,34.59439727896438,34.34214497825107,33.858826430107534,31.50701456024715,34.81725786362052,35.07937664439793,36.28038472078007,30.44742248888911,31.914244332797978,30.472907142148596,29.910924483496096,27.262522958235344,25.860211481442473,26.53913817414704,26.09030951322152,23.73872013819997,26.46261201339694,25.638731867468856,28.675656586401185,30.912507096495766,33.307370157350235,30.107531878427757,28.441419575185897,32.839768102525596,32.37762720501951,27.046285388712334,30.641248324639882,35.88770677322039,32.16768256456923,31.3260200950641,35.154895083046426,36.00987957640325,32.589375219806406,33.87174717379323,30.633371646552064,36.228621364940885,30.066655533690874,31.561992722460502,35.716425038205884,37.26821220430281,41.74905915334191,41.25376981342587,42.66953974672909,40.573064134737685,42.36094655150225,40.42176420821441,41.690329024205894,39.76723184626394,34.67135417913507,36.7189867976604,36.80771958190551,32.62930914935419,31.16295529926674,32.06672030752405,29.72335300058644,27.051002760038294,26.06211154182397,27.282037213849083,31.618201837934656,34.62878423538986,36.71057564508028,40.12856108533358,44.30668941864783,42.72299843788592,38.102201468698254,41.74936960557223,44.12909176128356,39.82292388054096,38.38485877709423,42.63589098447676,42.538939555193394,38.79740640898408,41.980578333937295,44.54982666362487,42.18053593311153,40.68453968696891,43.47814628816803,40.45826500136129,41.789722420622695,39.791544547221974,41.11997672027339,40.39575334471454,35.39975797015757,35.97624932389819,36.25195363992387,33.97469545676669,30.640823962494586,33.672230069174596,32.517235645587434,27.913092038652042,27.169696180842475,29.955295861397747,27.2185297445758,23.609717899412775,23.05389230589758,23.236697982775798,22.902357904767143,26.841796030819673,23.757409716894035,25.687696047383582,26.277031772716015,22.42858600009517,20.807038334462625,18.989156520070033,18.88502642624163,23.09465287221774,22.999564577552047,25.14992418153628,25.04296051342279,28.083133401356225,32.88045061174112,35.80659612327823,37.287821424478,32.57049662650078,34.176705628072355,38.177677024166165,35.34055328238087,33.21885334393604,36.74019850048586,40.280748841055114,42.321254894579816,42.51199796322585,43.48856692943572],[37.95405252692855,34.94636125984979,32.74165021100905,29.39970292252313,28.4140650494878,34.316442755750664,34.333001971205945,38.55535838551822,39.38345689352062,38.164231793280365,41.663638746025114,44.70189148618753,40.74731195567498,39.67454943980191,44.15956253242289,44.108205149518675,39.790734947589236,42.293654103066515,41.0124565674487,42.21472164003132,43.42926059139533,45.18819064511381,44.17461615921402,41.49662672141081,39.37423211121926,38.25660319790164,37.25242905288297,36.77052212133161,40.57498299924746,42.817019974078065,47.926673413266585,47.98017362819796,52.47766431576709,54.06270985826161,50.24104255619045,46.7261622018046,45.67075338442464,41.93639468873496,39.164776462389725,41.377130913273625,37.674370630274495,41.26321420901987,44.120403303181526,41.01170125159641,40.64418033915984,36.94633602558751,38.9130766837412,41.17673658234736,36.80688823978268,37.32015551108305,42.38158481716199,43.22343323152953,46.50522032882595,43.15639144508871,49.34877489798209,50.339429401279766,47.15025516282426,49.81933784022444,53.71982111705277,51.45852205683142,50.158185193222906,53.83528177860596,54.26742186145911,54.28206745501696,50.43897111284536,48.710094715757634,47.255200675356306,46.84093658016208,44.53745462295593,45.52481348485267,44.06277114186601,46.819614398063926,48.986720134488074,49.48377768070786,50.3071981188627,55.49791874312281,52.477927293069214,56.53651105163932,53.86772803676968,52.49917797646174,51.01305487810198,47.64217708728522,47.7638651943103,45.044578702443204,41.3862157479972,43.46620042318612,45.43638996956562,49.049691079476744,48.682734285482134,54.301666165241876,52.695524007125854,56.460423747944006,54.70101087800291,54.23072095610841,50.22641162273915,52.278622309056644,48.578144848165074,50.33786293308705,48.55906105552428,51.315077470184555,49.29822068819361,47.837068378887054,46.538879972777124,43.90122804509886,42.39547058229313,38.67782792657709,40.02329723979242,36.394494333141,34.76026486284059,37.79996574995904,35.10037176965233,34.24741801530051,34.689279436641925,31.876997548204308,34.23299876159191,31.203438476346424,33.73512695306225,30.66488231976034,35.7372718176728,37.99729120617294,35.9730465180352,35.40989739208631,30.713665721021435,30.627425897222963,31.528769685126576,28.456865050472665,31.026811098040856,29.945681936126256,30.56980986111792,33.16707296217621,28.967339353883848,32.16080049651994,30.25289916130464,34.60003454385961,29.05727595640253,28.56776184199586,23.981239489121236,24.193414076989374,23.769401887698006,26.50045020750627,24.861960689804796,27.447318642746943,31.082508501383046,30.55187967544067,33.338950743595994,36.17211467994196,33.84237370936604,36.49473359067105,36.82940629528674,38.001393024385415,39.96983684013336,43.05266887424385,46.90407177536888,49.633822279649145,49.905563808013035,48.13244772619754,44.8864504935063,43.46271403960209,42.619559536387406,39.252387524354766,34.85342663902861,37.53943374413273,31.869572415758125,35.376481967271964,30.920552228218572,25.683679416596057,26.051856833107944,22.78120055242549,21.126086321749433,21.404122983622592,24.324343268138257,26.477007209656698,31.223825121934574,34.99998413543002,38.50721998438699,41.65837369137562,42.83299594095965,46.67839610282666,43.06170079051399,43.13591821436409,37.89714045171531,37.25267397650241,36.73940510108157,35.97961083316747,33.5383228949875,36.34941727408417,36.43296833041772,37.20617494145148,31.329627434550503,32.69329884844875,31.362096867337243,31.29603756794304,28.964625525139375,28.021505028947125,29.00561746983872,28.845024056954152,26.93101154286169,29.877388285676187,29.390659178464563,32.444878075986104,34.83163204379472,37.25484965355234,34.051626768547905,32.53018143470047,36.95184340669902,36.4912135259142,31.213139327895213,34.8366669912327,40.071995183532785,36.313345418848016,35.49717670723647,39.33526829689448,40.13337633490869,36.64733207768105,37.95473845647366,34.74550147426883,40.358988724603684,34.12007131163601,35.70968780332973,39.85279103991477,41.305960842681216,45.75283971719347,45.18931839113709,46.66454769631008,44.52118192145427,46.23135345709223,44.284883683120384,45.36761744029782,43.49870506016828,38.50823855503798,40.366561043245284,40.28738286099701,36.24706125761355,34.77140495532119,35.36597930212032,33.04181261728274,30.661523909975887,29.443729346136546,31.065225913696974,35.208379019706875,38.244292197120544,40.550513970966975,43.901290726757715,48.175155834874246,46.51856171964151,41.96772964810644,45.764007609815415,48.09772717197161,43.76633795915749,42.46203196850222,46.741850831260436,46.6257308659096,42.929638749515235,46.15603548421651,48.719052774072864,46.31850670594987,44.87673671187313,47.68181906471007,44.6582652949279,45.9583751140854,43.910864246857344,45.18229328546696,44.5250806616089,39.56584077390601,40.0267540112903,40.28586580672186,38.07546280795668,34.70042215565528,37.54492461587289,36.41672700552759,31.954793918380098,31.06128990592124,33.631869542621246,31.00710485817576,27.470716785702912,27.120015056098474,26.974717619398625,26.695058172904737,30.750558988207978,27.798621912867084,29.857004312934976,30.391018958599016,26.465444893625385,24.96037396253481,23.129837214884077,23.052028718596354,27.236942305431644,27.051073867539436,29.035247977250272,28.796889114416995,32.042117060456334,36.75030171105707,39.776433278576235,41.081431188681215,36.39170488053977,38.17806795501703,42.10000116711418,39.04450068292559,37.06644613605582,40.716250454800566,44.2177021935815,46.27764439083013,46.477719652319955,47.39982359033408],[39.81018071319185,37.04204293490167,35.31599768844225,32.151368389420746,31.90225365078901,37.69194674461504,38.136708989505316,42.493879567920814,43.22921359992766,42.29394296838078,45.78540190322024,48.88783867668679,45.22567403484811,43.953696681933856,48.609511850169646,48.74491706450558,44.50185311023274,47.1136158147115,45.84947788315085,47.25641456715961,48.45663878162691,50.32581324417494,49.197853076435024,46.51200916145784,44.48941145135247,43.26789550061777,42.37136957890179,41.765102015907644,45.534331041898874,47.711845560544404,52.70417510846246,52.79876874263188,57.26870189066352,58.994256358001756,55.24273285107101,51.758610431221484,50.726089163420845,47.112448839638624,44.399807889625656,46.70159880273267,42.98129727917781,46.482094836699964,49.389607936341505,46.268504930568284,45.796961614431055,42.07182870681597,43.97985642659612,46.386899377616935,42.07722411947213,42.5505784957866,47.63829593374723,48.493478175023604,51.806450359926814,48.48827775201631,54.68153817641367,55.64240396440575,52.44127619549399,55.12514687048561,59.02685304438164,56.7025649509752,55.38211580775908,59.0240043938076,59.41913885636345,59.3477019830617,55.55003649510176,53.855390572587496,52.19659842492486,51.75255334117021,49.23374930643346,50.105021307000136,48.51060784621505,51.116954768458655,53.499868797397895,54.15194917380187,55.11283837891794,60.40141564200411,57.535891240562435,61.615489878818245,59.03400804971297,57.74571226237917,56.27034409875406,52.945321252441474,52.98569950347653,50.30131795575611,46.6653440992218,48.69633251983972,50.68060141923605,54.22921843857015,53.82082622205901,59.379627468181795,57.65977286966396,61.337530882189185,59.47664219003816,58.95320598135927,54.849870782159336,56.731687617576924,52.921372624728214,54.885073945465,53.01450372547568,55.65069063182424,53.97302329078766,52.39051001758655,51.37385551926779,48.56687018717152,47.20971013096869,43.30007442858913,44.49785613017938,40.7612045316382,38.88416960285772,42.063558483466096,39.22861635316463,38.75127440812753,39.01508347109789,36.45534646362134,38.79839521544737,35.8589234187577,38.50963270698143,35.455704247421,40.474989129167625,42.70466607197001,40.48168702536397,39.824888755371745,35.075115632937816,34.951434213880816,35.66790848610992,32.874213282392695,35.04801867139078,34.338024885044966,34.89820398243869,37.76461673762184,33.32725128782606,36.50250952645045,34.911977649229115,39.358856953610974,33.90453856281541,33.4057569636027,28.549200737642273,29.02113232605941,28.586735163337398,31.513450489561187,29.86072883992303,32.58066336946769,36.16873408218199,35.64244324319692,38.52953955694021,41.23495232095203,38.8099802707584,41.31923392379211,41.552462361614616,42.431652327280695,44.263104498204584,47.143755165839764,50.99275872534617,53.407941186573815,53.957291762400054,52.42909006993837,49.31326038029545,47.945237657456346,47.32288950741878,43.97262480211771,39.80209367346483,42.631755370329884,37.03604853318016,40.63202956465377,36.20087852390138,30.986906566154254,31.261347318526692,27.9887482228796,26.19375679778805,26.565023915364332,29.394183825803772,31.588817064072835,36.380805715566815,40.14007945023663,43.636581400005014,46.683316896275436,47.837434779317704,51.73640771582613,48.233877711511425,48.24072284136541,43.072203405627775,42.2062282394015,41.72136976577709,40.97325675081572,38.647944849293886,41.61020127711036,41.75768982876344,42.48401567266812,36.62475007716672,37.891740700781554,36.432759327849496,36.450584305659945,33.92250294905201,32.85584284263514,33.60375410411673,33.07331583807481,31.120778195390272,33.723030654651986,32.862703585755455,36.15131033944708,38.021743847439595,40.63468206550956,37.535399843921354,35.45765122226447,39.72776773740086,39.418827758372736,33.80834017679061,37.107223196390095,42.517902116297215,38.682791787124074,37.43201555028403,41.13804215991221,42.21039454660684,38.42740519194216,39.235769780686084,36.05405814739184,41.55603311638153,34.97232795458176,37.13527410673577,41.1822665779937,42.57478673233352,46.71079950038917,46.38615361186077,48.39346837391684,46.56307698801737,48.574563081434015,47.06094141373626,48.016968458782046,45.71163258253669,41.07017874955163,43.24514320990865,42.73831564683647,38.58636777389756,37.600568290662636,38.294034229133004,35.32140799451471,32.99822951646284,32.70988843996063,34.09758830270366,38.82358124861391,41.62701888917498,43.706443378182556,47.33350205329339,51.43447462557695,50.13231655788962,45.430959975495554,48.83424054241592,51.429752544788585,47.22914381367825,45.49860716141094,49.668741841545284,49.600831904442174,45.68533804809524,48.65687212759167,51.20013719820438,48.73092304577443,46.97852531533928,49.68155690249595,46.65058541922099,48.170630185007475,46.48272030495227,47.53999789521352,46.44313339799428,41.74107100906755,42.385910238560044,42.118614736221616,39.803088890116236,36.889912011109416,39.365634958286385,37.63817354253339,33.51487619524429,32.9978946488225,34.85849267460468,31.841078675834602,28.71558234089837,28.488249586237565,27.372115626349068,26.886336302668127,31.121978500985854,28.764047076658688,31.490518527932586,32.356984562633315,27.98965740782404,26.82074930733281,24.7126142882669,25.348419925811772,29.748502759513634,30.267620677860577,32.6477020452882,32.65412132451962,35.39155803310086,40.37113697310643,43.139458187826094,44.73478777419855,39.92063293919937,41.194847033948044,45.230310022734194,42.47986791279526,39.93864174093535,43.333306611427645,46.71359999627659,48.73980560788506,48.91742585576823,49.84163528367632],[44.21360421205732,41.44254430102633,39.656799439471214,36.202393161539455,35.72716869946508,41.416806646812766,41.48935167209881,45.79189197595124,46.325771949144354,44.97026732643195,48.344155117712354,51.595348145547725,47.61037778979234,46.18438451434232,50.64974682589112,50.76387260468319,46.299590052127144,48.50534075057574,46.71934682519971,48.13601711503617,48.90722167086493,50.57889985092328,49.15641011780785,46.340607106422745,44.668998168303055,43.708553972458105,43.2159997306886,43.03308153392263,47.02960378827737,49.5661179630597,54.34785099698223,54.81021896352936,59.235405014174106,60.61302274001157,56.874594980723984,53.18281780588269,52.45261368281224,48.3518332757691,45.5696185178626,47.618443403105324,43.60887252758749,47.079693523514536,49.7749287482818,46.40987499980402,45.500662617802995,41.68698130168609,43.318009037508375,46.142475417532694,42.16409602713772,42.5145071158558,47.64736713128078,48.72041514667821,52.07961308056156,49.02639949531547,55.30364269272932,55.80513774053425,52.577654525837964,55.63768181715369,59.31441515204757,56.58955622029381,55.50279637637973,59.297923505221675,59.97153714678514,59.49163275570252,55.675071093779806,54.3780534405174,52.71955602219564,52.676727991888036,50.080295550388676,51.331930777257824,49.588348031775794,52.022864968907086,54.524535461302186,54.82370748716166,56.1362415422243,61.18995130476442,58.352244367477454,62.58537219425226,60.00989107205726,58.568403016040975,57.43055247231482,54.01515263135733,54.52796135879119,51.717349292029304,47.99458613373058,50.14511471337594,51.7846679883981,55.66988614909295,54.94892342907137,60.687694191582146,58.908825440962254,62.48120407856626,60.876356262427635,60.646365565486875,56.72373005836796,58.670004438796944,55.019548202982286,57.124803260428266,55.51419452538979,58.467638497016765,56.43291020996711,55.208837755219314,53.793332497453356,51.340085507997784,49.77239035509668,46.1731331360421,47.504165759564316,43.855680049468695,42.30622491050754,45.364866384226175,42.65664620140224,41.73659623243194,42.02912289430596,39.1064764112524,41.11427335697023,37.90438094471184,40.1426525278321,36.74292773034479,41.29784228835244,44.004548300849294,41.91225263835673,41.65741859517992,36.97524923635185,37.28078905695382,38.451192324353435,35.69641315783688,38.44405980157275,37.476802142081986,38.15253624238441,40.671919040628936,36.4664752609333,39.479032209581646,37.460526463362854,41.87001577701284,36.402950781449114,36.00780511515531,31.564661211183072,31.575227498536094,30.845723479843116,33.38214291382431,31.040454326567374,33.201653475687536,37.062856336646604,36.99176263113064,39.75692141803825,42.82190997123589,40.645479745868,43.523725630370635,44.089391332429535,45.2541265315739,47.38424935237461,50.32269486434082,54.285928109612044,56.84125518068801,57.0824484672106,55.41679303866931,52.104851827456585,50.83826309710538,49.82882979710935,46.64370324067896,42.0950123957326,44.48030233320626,38.68869632968848,42.06887951074627,37.60298764082932,32.30475468888612,32.80305926428822,29.193275118099628,28.085025381367803,28.535001393295914,31.54176052511507,33.63623010285183,38.26953979108858,42.05482086739826,45.551409065092514,48.846495607152555,49.93504522580809,53.78876324538987,49.99873350431616,50.179785920300105,44.79804865551189,44.52540804223434,43.75796108213143,42.73627518864566,40.33948562816373,42.75259187866207,42.72755741626453,43.00162545478469,37.22721872596519,38.34137940027131,37.04664702138747,37.54014716131504,35.388100277880156,34.7939175139517,35.85696380548477,35.67670394479559,34.161821446467044,37.02824322185809,36.595174279061645,39.841045638373586,41.986586662918704,44.58766424766562,41.47513188789202,39.69449096590231,44.029967045178026,43.70886093337695,38.26080173582544,41.6731437681989,47.02086448878167,43.21248137252252,42.12462131197444,45.869156096959465,46.82067468863035,43.09634256284358,44.07059062702121,40.90684886198834,46.432832350466626,39.88092393605024,41.92310912147142,45.975586326809726,47.24949659032674,51.400190012893674,50.95057615102258,52.86306597165806,50.854784274917414,52.69228888464124,51.05289979685514,51.83760368935589,49.71494577112445,45.103847624318874,46.99205488142635,46.41315251059103,42.444118104273066,41.32805628470844,41.688122026482084,38.9244071100196,36.90656769390756,36.1350104762315,37.9711806536479,42.32677507793867,45.199935028868005,47.576405840868084,51.05637128809259,55.30750250792488,53.84301132000421,49.257138195106506,52.93139500394646,55.41768601497624,51.16568807301194,49.69649804385691,53.93702781539422,53.85344169658581,50.05532414782528,53.12952053978106,55.686897698355914,53.23694755972908,51.615253334766166,54.34219394765339,51.29924035551867,52.69633950782104,50.840166777671335,51.88242639064687,51.0070681011444,46.2801693856796,46.71848849326782,46.598544643941814,44.40461459532284,41.30137017571277,43.67783707729442,42.18741982153116,38.1303799994155,37.32070443432395,39.17503331518528,36.44743090936294,33.280267411931355,33.23986415739125,32.162284595070645,31.855023757932884,36.10462967348495,33.7029294726814,36.2777901596267,37.011720765333834,32.752672629639434,31.547548656293166,29.50798025307814,29.881584347550607,34.174633491273035,34.408233273096855,36.49690083254417,36.35046614170747,39.42305640672332,44.23744013812126,47.19563996325735,48.54739545546891,43.80229512902895,45.40855274422811,49.35634021860832,46.30690695257763,44.08587578021826,47.66768317432664,51.03414993594629,53.048791935581185,53.20817789817575,54.06496254471574],[43.00066138958688,40.499717643768975,39.27081923255291,35.98020740406366,36.36262913000054,41.85587039656228,42.46124090403799,46.923520203774196,47.36268809383544,46.459422131138055,49.850387410074454,53.1230850268865,49.617383468323,48.00617155693648,52.741928713285134,53.102960712324474,48.83909783877247,51.38081818448376,49.92020122502672,51.61059939048425,52.6445873099337,54.63159608204078,53.25752898040976,50.568986806166144,48.75637541044008,47.43831328380412,46.83665714780464,46.22038781240507,50.047465338275956,52.33502985929518,57.03345121260107,57.40684762805813,61.80482753202796,63.52824195827979,59.898147543774805,56.34463293018928,55.53518051547428,51.847879912608775,49.21871316075166,51.67269090944933,47.75630442062699,51.03194586397764,53.99076561805462,50.81186973475935,50.092636780738424,46.33481168426155,48.19439829511839,50.87395124418,46.70090995119383,47.26649155432735,52.3825470343809,53.40806921254193,56.69705841966504,53.3933329831327,59.63318448523662,60.413069225523415,57.09059041821372,59.86162399018305,63.735175730852646,61.20592218303578,59.82496031464334,63.41475141739759,63.81933076620751,63.48480312926015,59.77023814138954,58.24190453314168,56.27203480611244,55.93220404860722,53.10817316054164,53.98906806101193,52.18131034800855,54.53593671465759,57.206134116464966,57.91245951904621,59.18278244600553,64.5043222176419,61.87951399389597,66.05283057768544,63.62564822324305,62.432127859285515,61.15630723811582,57.92666554780874,58.09011768491778,55.495865413500496,51.789345616437046,53.70103521327392,55.49274416454667,59.100747082461076,58.4331419078059,63.97799913754727,62.04843183701521,65.54917230418289,63.67117188733537,63.227289579184855,59.09723957263375,60.79538460222799,56.94587624915316,59.25495485274589,57.44464916844019,60.167929474458525,58.69746396403201,57.2695809477892,56.36182645915803,53.65080165567129,52.48856893154415,48.512727409152454,49.782858027290445,46.075999243260405,44.05486902293917,47.19328159465213,44.17472548960817,43.74081735827688,43.71891935886477,41.19919941350092,43.26906857246723,40.28229537198407,42.85071386938863,39.66932781290685,44.423050489697935,46.79572122235178,44.40273395839387,43.832685600601025,39.08097061853958,39.15173701466991,39.946069934081315,37.540830677253496,39.741197369669614,39.31936980251386,40.028520188969615,43.05734843781776,38.656764135612505,41.892536440270064,40.36473901009267,44.78031411473021,39.29792448357713,38.64409882014013,33.79175258334895,34.07573209880705,33.37106094299766,36.325099173635124,34.317083139021896,37.02284794666819,40.61445659465369,40.28502710424516,43.27959178024171,45.95912147707291,43.53242240051075,46.07507532613913,46.425104865980906,47.103026043251276,49.03283753376761,51.65961426874659,55.62829095808972,57.73934774632985,58.354744670605136,57.049669856874345,53.94480870092686,52.77665223812197,52.136595941807045,49.00557385788852,44.87585296717854,47.59488858186236,41.99200723140804,45.678899569501255,41.37525400717037,36.08908997847335,36.574165022405964,33.24928794377773,31.600606848564826,31.849317899160933,34.736390596118376,36.77709512294914,41.627957389597135,45.374545044202506,48.810582207330675,51.87700240458308,52.852342021067464,56.89982896018366,53.41801880611462,53.52466895052811,48.366239182039884,47.522492232339516,47.1384436356449,46.39266490179168,44.026198708182214,46.83728384861486,46.829235264735686,47.50307796647977,41.601968223126505,42.93592864529783,41.562878472117134,41.72113217859708,39.297256162586805,38.30284579701352,39.0644957513078,38.49304597538184,36.5186907903395,39.018941400466055,37.98090172162794,41.27231850039883,42.947896675199985,45.542742218806794,42.43141452705278,40.16117800141042,44.32308699073367,43.94472183284372,38.16429137654539,41.33996623399717,46.754188246524436,42.71951497826271,41.25007976264179,44.86184396570013,45.94944467214809,41.91276884104761,42.48843822568635,39.45466622070444,44.90110219796369,38.30488537270675,40.88461376001647,44.834544505048015,46.31534624182875,50.18260276284826,50.12840199604067,52.46895653147404,50.87647288118144,53.08855719617635,51.81223091997308,52.75153108542626,50.205966990958956,45.75340346818057,48.12775191181665,47.41454393739959,43.20082430941861,42.48365423273735,43.24925140659161,39.95897635434323,37.67560793319947,37.83529382751526,39.057671324114,44.001749361382785,46.71736561264904,48.634933101868185,52.362270585269904,56.34720585640325,55.165564553003456,50.40920107392681,53.57787214885957,56.2372997939813,52.058550128249365,50.130177586676396,54.16445924431987,54.030180957681885,50.00608113417387,52.904761874120844,55.335828254860374,52.704477386220695,50.88471068771777,53.58514705774458,50.63396623093664,52.37568742477229,50.95052099950236,51.96453851759945,50.545662806164955,45.97964115725241,46.85019441883223,46.28276032887383,43.85768864123764,41.3010024583936,43.62578486325118,41.4843027881242,37.56811475338582,37.387497771401044,38.82847995490303,35.50958635426764,32.71836518589937,32.42876878805221,30.760884875237696,29.975376471537356,34.152237808929286,32.12847357400133,35.295453586545,36.15041781055364,31.53208910003068,30.777951074325586,28.721979859722047,29.823740504924444,34.30995459791946,35.01934140738898,37.66119131279818,37.5674532893968,40.00620130593969,45.16031482698477,47.805377083068606,49.39974946422277,44.49603277872767,45.51847609452385,49.52216130662522,46.79617913221746,43.945025100473956,47.256759332665354,50.45809229948152,52.502455305152196,52.74192358243181,53.6411758593699],[42.97599559466761,40.640155797101464,39.77152981591248,35.95530083638336,36.7612041681543,41.78342029506449,42.255295520114124,46.78981399117329,46.74640751529893,45.65335597806225,48.86853262522552,52.382141298989154,48.941811781813634,46.903148546619725,51.65121823216822,52.27206492422282,47.96339051671394,50.3703628362594,48.70065998925389,50.76125329779344,51.645866809420696,53.88325631501814,52.26720737941609,49.65564864610656,48.023047734361874,46.46479535156413,46.197233105000656,45.503871420316315,49.380280164441295,51.83618116867378,56.089851353372865,56.893297798762354,61.167163972306675,62.83884510413047,59.40078125647568,55.75365192703398,55.30586789774213,51.54038063331272,49.09300409489227,51.94893182269216,47.75801144265451,50.5858118177413,53.72115262174718,50.59719416526117,49.70278389848725,46.01493453170933,48.02167005182205,50.85744530801411,46.788663631914304,47.779982682097014,52.823301379956945,54.101721688978614,57.21285374353772,53.734650594089715,60.000171093694156,60.65805151538715,57.07239022533977,59.76354146120768,63.693791079737935,61.026117002274056,59.35710075472139,62.75550869910113,63.06360631674463,62.47950243509327,58.91451741281232,57.49843695059188,55.08256772138738,54.80932003697019,51.63071005880164,52.50497666978416,50.474587572205316,52.55920367209961,55.51424352577216,56.297037672574085,57.89502552436029,63.26442606910065,60.973780282144915,65.24155758121336,63.067024179444275,62.08443668254571,61.10312138530092,58.121865296055304,58.44434504668717,56.126067012721045,52.28393445302713,53.8662533618478,55.3330119978452,58.98111802216329,57.901276833039425,63.38482131746277,61.15419336956611,64.40793869752781,62.51461050083501,62.19881015972853,58.07847381934471,59.573339362016235,55.73689040785314,58.4746379340199,56.83530213807258,59.82474119633578,58.4784969709541,57.47360340355995,56.57827758029782,54.226207027094844,53.44917588738874,49.45936888207684,51.11806873387529,47.62707064761297,45.447125255806796,48.30573753631321,44.96498007104803,44.24753488504728,43.768842590211236,41.133106389432214,42.70494425416698,39.61265521103381,42.002399612635045,38.67786778876914,43.095110708968434,45.59492977570623,43.03045167034122,42.61197987981687,37.907968716504705,38.298031767825684,39.349907550678324,37.45633626208537,40.07599595308479,39.9109439210376,41.04873747357966,44.252939027160146,40.226073022489174,43.766913554170664,42.12931133221668,46.289040595837236,40.60405496586409,39.47985838840422,34.86453656963127,34.52067511896433,33.2897167271651,36.211567015747505,33.7119145722172,36.50085800942097,39.983955398722536,39.88749542170379,43.05885280675615,45.637834715805774,43.22954271822002,45.86508159253272,46.49895127219378,46.99320864062007,49.25671305039085,51.55834793293163,55.80126170373046,57.62445599090266,58.06057339257137,56.954088556234204,53.74947058717898,52.94699686718532,52.08841869490088,49.423952295788794,45.24835252785239,47.68336614638989,42.10158597035428,45.989959559092526,42.06194913345051,36.644228531582584,37.720975217593626,34.53039472262269,33.066571967860966,32.77762115945895,35.81174411756808,37.40561748608334,42.38552192700025,46.08243213831401,49.349964065577225,52.47409653349712,53.043980989674466,57.39283279472759,53.970239315902674,54.35744736469788,49.280146077179765,48.51201786208169,48.54106793784859,47.97571427571755,45.34506906422756,47.83098483720138,47.39573878786959,48.32077788818985,42.35688181151896,44.05139804704898,43.065269813572286,43.1054222347952,41.07406932565525,40.17174924862746,41.16266405389568,40.88771768322312,38.6273434650348,41.29897594261513,40.17392352023927,43.11131650850026,45.0685767891961,47.301789552498164,43.94520145697955,41.98349241404716,46.177140052060814,45.33763844463682,39.54429869463911,43.017689226039174,48.23998703222122,43.76374218169662,42.45342953898954,46.145223257391606,46.8261381453796,42.62069483200256,43.52234805633533,40.702897225322964,46.365993206226186,40.22666858346826,42.84293584427786,46.8371365845733,48.764126768888126,52.63329827056339,52.83410007825667,55.063907139181154,53.551078763926895,55.81874883521736,54.346420948653744,55.624019289362195,53.176171103937804,48.43745073026942,50.908196796669536,50.567964493381325,46.240038845478,45.32141010841464,46.31314433055358,43.26029735851229,40.68868802111894,40.60978876315191,41.555437088993465,46.305992817438785,49.20309156051316,50.950576846478455,54.544324398408165,58.48875440388995,57.03343206332852,52.31695610185657,55.48892938185831,57.89590391079865,53.52561624756729,51.71786981710098,55.6123980047562,55.22005350112236,51.230461178049396,54.41326202565283,56.61301972479257,53.674811861910214,52.18737472926232,55.10867243182927,52.34030252778725,54.310405630965555,52.93182922087883,54.27287979565453,52.751142547472,47.96232811919511,49.19480521908693,48.796426332588595,46.1720805643027,43.67828610153528,46.46034966206654,44.25636748368255,40.028517319382374,40.14257381801359,41.9460041656421,38.360916592236535,35.48399493212655,34.69178791991304,33.43959627053984,32.187821331363104,36.07749532885258,33.628880610822875,36.819785033527204,37.12410168297814,32.48722184539537,32.11836954386821,30.536423714639074,31.739539958599174,36.278483447626904,36.427385294858915,39.25418850275878,38.569624854764314,40.9677274513387,46.19207354344675,48.88330918821367,50.11382927679479,45.13191484783651,46.266803659176006,50.060532995831636,47.00130883103801,44.17669455593882,47.697924920738146,50.750747149347795,52.87955222627859,53.23544949438517,54.05165729569808],[39.50488367733864,37.33949941314569,36.8254304299697,32.99142443630708,34.3391519495186,39.07841617985168,39.823153481802464,44.416551051691364,44.262872553558694,43.45921612012738,46.657636205710105,50.15998812840265,47.07489240424329,44.93250933489891,49.83683088216743,50.62325155715218,46.51034468161673,49.1828213611756,47.854475781390555,50.09085092248661,51.25660222140863,53.76608442357754,52.279152895661625,49.84203877482146,48.007495030933846,46.12013303156796,45.69577167081445,44.61510630306894,48.297363206525674,50.521004736301585,54.68943624316826,55.40166691165857,59.62605132091987,61.56543182211914,58.23457996997574,54.73473567096605,54.22396363877209,50.84697077158245,48.57040221315311,51.81179353911991,47.75196222859369,50.35353830907518,53.72539315479271,50.835391071018094,50.209488145669276,46.62959559195046,48.91261796333032,51.49431919190441,47.214113453073,48.4997384790318,53.45608307726984,54.67231402876297,57.65205153193291,53.92219305918245,60.091271090839726,61.048529202693565,57.37603386401855,59.72491567289236,63.8453205090168,61.440556228046354,59.45642247750398,62.624436845917764,62.65762717875897,62.286183306717206,58.82464848615466,57.14665181631638,54.51425831505496,53.93852875501052,50.652404943189836,51.18772603016491,49.17596042981087,51.25613148448228,54.24699945584941,55.37549150250438,56.83802661511877,62.41334498088603,60.280367710595236,64.45169210399231,62.407428817593974,61.65964936810409,60.55079283277795,57.782148582784636,57.80012766806273,55.73564931333972,51.921466440358245,53.22848381996064,54.80470367181899,58.175729880567175,57.15172158406381,62.42619692233093,60.09895890783859,63.30343105269886,61.18516014488957,60.68052044691435,56.42180313141662,57.736249524197014,53.77972261534497,56.623447889196164,54.85456603287632,57.6836339847266,56.74436200637858,55.658420358555574,55.13195355860027,52.68016291418407,52.29557980461467,48.06925024047722,49.794989403972764,46.38535235079433,43.8655889617781,46.641095309306934,43.04562597393789,42.57465745590433,41.80534712294751,39.45802075894069,41.0145275485064,38.131240239359386,40.759970230827165,37.67891271598992,42.266702318330445,44.41161209032637,41.651516531316446,40.9637262745332,36.26682043883678,36.460410343122916,37.24371643240448,35.664761959071186,37.96086584338794,38.21131762885453,39.472650732520535,43.031822040089764,39.06994942823425,42.83807849814311,41.526719053403134,45.52859756855604,39.84085398739059,38.40016302608855,33.64997661328944,33.34366891670805,32.07055378401394,35.257921129253376,33.08828503451837,36.33639461728611,39.500418261604885,39.155136621928854,42.48709268924961,44.69323051499837,42.107017231060226,44.45308516888536,44.95155683000477,45.07665771244113,47.240239485153054,49.27105146100311,53.53473290886694,55.02850436943301,55.663546511656136,54.815605497906766,51.75742492324031,51.0771846985572,50.450853306989,47.92514021987434,44.092420695495925,46.72292618395793,41.36935473476972,45.497735635206574,41.82818697640104,36.48666103727207,37.6723186174562,34.8494021065771,33.0040559508074,32.38468320305013,35.29385618884911,36.69643000765069,41.80031452212974,45.409285181636015,48.55603274883405,51.477027653265054,51.88589992750385,56.395621199432114,53.265550987342614,53.64462806454024,48.82715211266598,47.624897390301626,48.0876264506011,47.83004425636911,45.16001723163689,47.89049569963602,47.389357018093094,48.77747816480513,42.75222880871188,44.72230293413226,43.79914596753251,43.437614085644135,41.32940740888779,40.125374549890225,40.96472825261277,40.558261386879735,37.8553303640598,40.334585185323206,38.820420347242205,41.56143525675766,43.376907792974784,45.40098119001479,41.97539869802502,39.93222842709223,44.010608344679056,42.942106100303434,37.055875455252036,40.52659573981922,45.6352641158458,40.92160568575271,39.53953308532677,43.18627307122506,43.74634939667778,39.403231957618516,40.291379385334395,37.63071708857878,43.3304504999698,37.4792769433338,40.24576146334878,44.19714884681671,46.451282293492696,50.148500691934544,50.699329016337025,53.01264174665626,51.68476453929732,54.127138785022154,52.70095404717879,54.27564635309146,51.71841537438636,46.892719126224264,49.64415012845346,49.5128282619756,45.023382395809065,44.16888984432816,45.532378973139416,42.42686628172815,39.534538579365815,39.78279995062076,40.19410268844467,45.09214632072937,47.96749862657952,49.35250440098819,52.972260141255084,56.72927339470622,55.296169517265426,50.54332015140132,53.43692566203559,55.796033380700905,51.41048595619835,49.43968711371322,53.15057355949741,52.633674923522776,48.584401886659364,51.79303474411413,53.828705893155416,50.71995020764662,49.29565098132275,52.288805729123546,49.657328294617976,51.85942322298647,50.68909554286607,52.1904410896238,50.411420857072756,45.59320674711074,47.19845301816191,46.733583408956925,43.920619100166974,41.704746506305085,44.74473714995118,42.290722359717904,37.93724694525982,38.49321241581261,40.399744849580365,36.46169384339823,33.68269889259078,32.470211742803336,31.350899001559064,29.66649433191576,33.2893435754559,30.730617430113124,34.082039559144604,34.17833491172975,29.46372531435869,29.449871363145814,28.13679865449533,29.668794188829754,34.23495049391649,34.34319832409326,37.49871684917967,36.627520490647576,38.62331575642723,43.99510677961706,46.52251826228585,47.74852744708938,42.702513197474886,43.56889694078715,47.30338188736837,44.33895681267647,41.2282190044048,44.65736862541571,47.5790896677711,49.70378696256459,50.087103186726615,50.86459531566811],[40.27460147978697,38.39586917429027,38.37211506073577,34.32850954838905,36.24774573887112,40.48865765419978,41.31425439310908,45.93486656082676,45.410657251996454,44.64266592073847,47.67235530254286,51.310422024138674,48.47119756242923,45.991004594951676,50.928355149106935,51.97093041710292,47.94047382851736,50.58394428734556,49.21393461999327,51.760166479947635,52.87835006903706,55.61041747728145,53.97967059584365,51.65549448295167,49.927827951247636,47.812862723353796,47.59846987395589,46.368534163584926,49.99025873223526,52.23225189016885,56.021534968069126,57.00023770853113,61.0924113702529,63.0846728688558,59.945365483484046,56.4518863979406,56.168879828196246,52.882728128212534,50.78746393698818,54.34599977675172,50.17209653057878,52.40977061692199,55.92476635783328,53.13207816639564,52.431297382248225,48.92862614641167,51.32580994469329,53.974819509214306,49.748161160120226,51.318118810372695,56.20174323843901,57.55154382951584,60.40498445571736,56.5447544816632,62.68032053417701,63.60769597092917,59.77074630077461,61.99591455201513,66.16876021597581,63.725392868836614,61.50383904295622,64.4738914273972,64.37725343276097,63.864079299211106,60.559245423430696,58.92012714148503,55.91808429485093,55.31607084541192,51.74240225403654,52.155198076742906,49.98080820381475,51.80615740112671,55.034195861019,56.33142342686618,58.01033481061715,63.650786763999726,61.83108124882432,66.02356866797086,64.20688376568017,63.669779971333256,62.72901211959878,60.184621627231174,60.22127221995136,58.393861293195016,54.53079585234796,55.563852487050625,56.95365077695017,60.25228735139209,58.97527737255865,64.11315267748546,61.552345355359385,64.53650327495635,62.34093401401901,61.86527765106739,57.58531340882104,58.65903526626196,54.6843334310699,57.87680243492399,56.18011868455731,59.08718137813698,58.4291125892894,57.571127671001406,57.21350280387868,54.93927749662787,54.913234759449935,50.61494844876536,52.535026614641126,49.27091327802519,46.558336335062016,49.154809275609956,45.31873260399308,44.82551206655384,43.675853627799675,41.418150578291865,42.62815131053985,39.79435514660036,42.34879162902772,39.28578522098562,43.605849523054204,45.715766303341276,42.783612683536205,42.11741755182538,37.52632494516174,37.86977441015097,38.69505077638835,37.61469981893451,39.95766760016695,40.542571325537985,42.04960294575484,45.80096267374485,42.055103814094736,45.99042367539073,44.75750369865773,48.57776830401819,42.84750184476293,41.097693798454216,36.466545287430094,35.871281995275595,34.30802797677863,37.51104784599609,35.153591324435915,38.51077011186767,41.48395882983283,41.23601449869142,44.686830765841364,46.69898775275684,44.095482860040974,46.37273709530062,46.98834718184884,46.83892906138532,49.12900479977186,50.80906464437806,55.208337368240635,56.32988390067148,56.971671370199275,56.395467130888264,53.37250067643129,52.97687606703359,52.328698360918565,50.15189295260389,46.45908136359402,48.96414986582292,43.744156506997285,48.01638992209105,44.65053812723501,39.311918760563444,40.80646805705465,38.13829524753252,36.32566601910034,35.399790462313604,38.31047398267096,39.422129539398156,44.574925692331085,48.10247057503274,51.09682283984502,53.9645487045108,54.083005231071596,58.79476112180471,55.80827661285637,56.33545002202652,51.66365381544576,50.37928776662605,51.16523327936611,51.06770617271606,48.28606904100771,50.891025786635666,50.14927718920426,51.74953728605,45.708040717337,47.901114418059954,47.1743629290307,46.7076442751143,44.77219450896602,43.55272714176184,44.434596518827675,44.091130187666465,41.17985746138102,43.61850388608558,41.92184392707096,44.446159021563666,46.2484749416338,48.04182845031091,44.52594919191467,42.5399061351896,46.51295045967503,45.17020497043569,39.269284625554164,42.76841126192396,47.69989599349863,42.704651681035195,41.30700293680731,44.88559351842636,45.22349510855149,40.72436350655046,41.64895638846029,39.23926891923757,44.93680080271058,39.46048182152815,42.3999140471729,46.26964344108618,48.82128445090981,52.31893821448,53.19865967420816,55.60060979570157,54.44770943525221,57.02256669299193,55.621370729224985,57.40791089121772,54.784353330326084,49.916749534901875,52.835834425917184,52.84185053477231,48.271332052834175,47.44908835387791,49.014374713337126,45.899920699144765,42.84696238239195,43.23367487125516,43.343481650430824,48.243820594438304,51.13505151549614,52.283403385264634,55.86986523329959,59.49177395853057,58.00306513166404,53.26609926126396,55.97235233684205,58.21856603055236,53.78581334726382,51.75932801602609,55.27113511118597,54.58129824213597,50.524113980143554,53.80669448971928,55.62747313444362,52.292496770890374,51.024455801132746,54.10889221095526,51.65618696751179,54.09385869443652,53.11435490924258,54.7740239745749,52.769261706082105,47.94253761316511,49.87609158881444,49.35698120173256,46.39359190622105,44.4348350550315,47.650673563619286,44.978563840492676,40.58777895506231,41.48961840141165,43.404969213540255,39.211002006075084,36.57361722521482,35.05344997661698,33.964789735884054,31.90758113317498,35.22363323135079,32.63651941968287,36.134270099105024,35.92341688033553,31.196436861610028,31.60486686019077,30.61107022185746,32.393093640983345,36.93213757421724,36.872750028937546,40.23708953844631,39.05417720622769,40.77524886758141,46.21647760833636,48.64114483265865,49.69291332295519,44.61883407193955,45.342445569440585,48.90879559329787,45.870925605758586,42.59857259445753,46.01151539972262,48.70904281171455,50.842894145717814,51.29703968567539,52.00013575981852],[36.73155741757982,35.017300737481285,35.32886648158077,30.996133893777248,33.373354314800316,37.08780662924609,37.948857863826625,42.56294698523375,41.73770948927233,41.058819611144656,43.96297950218978,47.65653946105955,45.10138935378921,42.40837306710635,47.39822288032042,48.64220772620373,44.78457039799836,47.544411916007036,46.396223134436205,49.17295688757888,50.468330127022014,53.480154002628446,51.914713498763284,49.80358483806204,47.96352084841329,45.51421741339697,45.28050194723668,43.727158580172535,47.1627987476144,49.26978452553756,52.786702696965605,53.85426024250869,57.82639843148913,59.97273541999708,57.01037673085168,53.62564179702888,53.44085893742838,50.458329362913254,48.59760373919651,52.58079218019234,48.4654064872234,50.315735711561345,54.05065312017359,51.51568407993102,51.00924715482491,47.67673906629138,50.35048001891322,52.774845549005704,48.44951997508342,50.41597676341182,55.13358604982123,56.514226813230245,59.157128909732705,55.048183639628476,61.04825046420224,62.17628404666177,58.20363070051112,60.08212628168595,64.40260502827911,62.16394189584264,59.589296968385455,62.271313964930734,61.911864602242034,61.5109763776173,58.36868153945653,56.552717518412535,53.26480906533281,52.43793984600764,48.71085528240957,48.84682544473991,46.64765936478418,48.386972983082366,51.681314005411096,53.266348690408606,54.9089935253251,60.68374431325485,59.10346589128051,63.2156388591366,61.60071525698995,61.33115519451669,60.40723135523384,58.15590477931953,58.02613012764071,56.53495123898872,52.67738261104164,53.34215785609374,54.66739400610561,57.73167665650446,56.35398800110765,61.261863110917886,58.544420152095405,61.390720983071404,59.03522603331946,58.467115324682695,54.12708673922484,54.99811292885779,50.97904065444597,54.374354944350145,52.68076192254324,55.58553364342919,55.234680551537224,54.53941187932562,54.420645667772625,52.293782918554406,52.7239777460745,48.33101783020377,50.492554699281655,47.463292597562805,44.51291437026047,46.83800002214488,42.73386243476661,42.221755059658946,40.66994508194844,38.577786721743664,39.51550131480468,36.84114995756156,39.45041130193441,36.5898776394162,40.853389727228766,42.68060123199454,39.58301412652404,38.774169988750174,34.29475486652907,34.62110562828138,35.36820494788367,34.777797785421114,37.103164754625396,38.06352689742513,39.86426625806711,43.85167770514427,40.45695328892862,44.63424962245704,43.5582625716051,47.05089797434074,41.318153491284,39.137812456076986,34.682937148358484,33.77901153760462,31.97117111669984,35.2588816644948,33.02451934419868,36.70599623691594,39.29746806618557,38.941210295777935,42.519774982984835,44.16359664724518,41.47969295474719,43.548701031976734,44.19728786851893,43.72460138693633,46.09605268166797,47.43147245393418,51.935654101426415,52.73709612201785,53.3739253620801,53.03895035211285,50.08358271133467,49.948149852978425,49.34249401728863,47.51676393415107,44.08957345578917,46.55717603973859,41.61086440395035,46.07725723079689,43.1436869281454,37.92863266520642,39.74802007314144,37.497955541177575,35.546141722681995,34.13272793219514,36.93804891179353,37.65248943150197,42.84039474470535,46.212259323816234,48.98841750886701,51.701029103962014,51.51045718942321,56.42378812811894,53.70777160066386,54.3588996796819,49.97854463351151,48.44524109603125,49.74122186116006,49.962811340588665,47.05804336517208,49.64646711218708,48.67067467304472,50.73916979440924,44.71548866554262,47.25950690525948,46.77422433552006,45.935395656666614,44.17935916206327,42.816964616450534,43.710206764843335,43.479184300829004,40.178815711760784,42.5741794989701,40.66502945194723,42.77216604196862,44.700026266624185,46.08757768259538,42.426222023271166,40.70622020417015,44.58910962546777,42.821450307845815,37.02766615215811,40.71116621858976,45.346560090383704,40.02967321920788,38.81118563023511,42.3966635148001,42.34136218525113,37.79064324484142,39.036880072898406,36.87726949714299,42.686571264291686,37.830422396739834,40.668483740209815,44.516128706132854,47.51159833505208,50.97828366284524,52.131697443671534,54.337054803435876,53.26113779416079,55.87379265035294,54.30187557859854,56.47766907622717,53.96951687004885,48.85714278332676,51.9046646299243,52.34376238041646,47.68598608802823,46.699694978966065,48.586250494815474,45.744626003602185,42.37129626564381,42.65257628048266,42.30184863092636,47.00100737475627,49.9767646664323,50.82538046789723,54.25391536416034,57.7294911162834,56.04427026549714,51.38988417050513,53.969708133419104,55.96395222745991,51.434718991815245,49.484677539503515,52.78778655993212,51.869399729842065,47.88655017437767,51.3761194621409,52.95239213217299,49.382839445218856,48.43967999084415,51.69614836420472,49.45668831325555,52.08379199582286,51.17852848112951,53.161516405170346,51.0755638727131,46.08813014819877,48.390642487745964,48.06751510608759,44.940019566668354,43.09889609764731,46.77930949012806,44.11693417779379,39.44601070909797,40.67699094656354,43.009280455320884,38.62812925600476,35.9384939567313,33.879714183725376,33.39847672581418,30.931558403732936,33.796143589619575,30.759139301403515,34.11115727291349,33.354244151610814,28.786240658572968,29.57063610101476,29.13076211969409,30.97304209229326,35.392037893728244,34.846653800685395,38.390670480672085,36.736491384334634,38.20377075797476,43.64440938373862,46.00177134601747,46.77438548713685,41.70933919617564,42.40867001604574,45.7515418743697,42.56407582649409,39.27211073730375,42.76164138854859,45.29364936208814,47.47030584965552,48.03300897436051,48.679040273920016],[38.952701897375945,37.48148545481342,38.10272554828705,34.22953854932662,36.94965062672331,40.670796754898674,41.90714463502457,46.5226281050437,45.82491794730721,45.47186288350238,48.39696441230576,51.99082886531935,49.68414288544513,47.05198597274577,52.10860367350406,53.38507815493277,49.6466096773636,52.53179556566945,51.510519827240806,54.26808492123446,55.62508696463725,58.62472836592262,57.08595513583657,54.95376290590847,53.09348285637134,50.66688920598201,50.35515393680811,48.74470421205796,52.111989176928475,54.08163874363496,57.66541551323492,58.58099670706459,62.55479735286137,64.84138847596182,61.87816930408644,58.574408124370244,58.258464351528815,55.418279911944204,53.53029467473557,57.43847297617058,53.414426934058135,55.38587834274394,59.10113305018784,56.54304028764511,56.05040480681271,52.66317840305503,55.26993248114093,57.722364207826345,53.35996504368751,55.16627008884443,59.949365580454355,61.2470650146804,63.9786978111149,59.91280686444819,65.9292069928249,67.1104499760556,63.20429020982861,65.10214443961169,69.42692408563748,67.21232909205935,64.70044292817747,67.4117897564247,67.03846832065258,66.68663800128547,63.53405300866365,61.681659188445565,58.41757399434589,57.52689709528287,53.806345476292634,53.83510045228222,51.654166443468355,53.36114420660012,56.67535962687632,58.359932794714645,59.95559457127181,65.77484734714912,64.2002030712446,68.27256621948682,66.64281317481326,66.37144455261993,65.33405121907693,63.03437621392853,62.764283256870804,61.207855298199306,57.407271449731255,58.15355028672432,59.62478218307041,62.608746467163996,61.366580434632205,66.22709042234361,63.53911919041407,66.39604502270217,63.96093679778742,63.28964451175218,58.88813736329318,59.681704672428395,55.60044713318575,58.965726485974486,57.138631675867984,59.81212058128477,59.715091425590195,58.769070350662176,58.87997599573962,56.49736746566259,56.91754087124765,52.385411198191846,54.31050643242554,51.14058685896479,48.069026526416586,50.57362034827851,46.501842811494704,46.37067838432934,44.8835608598245,43.04097967373579,44.18172789734824,41.647667510772614,44.39687503041962,41.64174745192998,45.988037012728874,47.71008900162066,44.580409832490524,43.64139064909168,39.17729938777968,39.31871066276403,39.79938850222432,39.177319761960305,41.02156150688043,42.125519431401315,43.70706096101148,47.804742705464136,44.1246730036815,48.200800132249455,47.36540234146348,51.019493729123084,45.388423089173195,43.37955373706128,38.65834903149137,38.18178540823388,36.625632327142306,40.02911755240093,38.021839417905525,41.73075113837776,44.35298639391955,43.890514176067626,47.4551647007775,49.05109880484319,46.29867311762638,48.21558207992892,48.66701356289658,48.05037887464606,50.16502484603678,51.44162787202747,55.803623192210566,56.418768574973306,57.35316757261211,57.16617047501852,54.382237610736,54.158705369143206,53.81689249629655,51.835370375379625,48.59936884641021,51.286230457127814,46.37941444195105,50.83495848438859,47.74838735572418,42.552450684683606,44.084082552939876,41.74607258786038,39.612009277109834,38.466191745315115,41.19619073187929,42.138951267529215,47.33038935877801,50.728005966648404,53.56878028925293,56.18212806839231,56.12501970610638,60.96742245611814,58.32661815385834,58.82807781913444,54.46308724646569,52.73019299400984,53.91907800593899,54.103333223758796,51.340881448288165,54.178695524161846,53.40003885106446,55.37823918019884,49.351407983621655,51.71554539206718,51.01293567084086,50.23293531157026,48.19482302076821,46.702956939108674,47.385337534817154,46.83647881528462,43.572121408468476,45.70245347936085,43.56998270272985,45.91298331321856,47.3860443509637,48.98165025779157,45.495523588250094,43.305655474044485,47.009205270245516,45.48655902080102,39.54183180544852,42.82486923264075,47.553672715385495,42.36776897271034,40.77239945557233,44.13911315876892,44.40596152870688,39.73871532030323,40.42869925825799,38.333695195019416,43.850247166183244,38.79096597545468,42.041031008377516,45.709395080496236,48.56644863464597,51.696180201584774,53.038527647352865,55.6706554721109,54.86883588823895,57.70012279995531,56.51575874138318,58.54394581691101,55.69953187942017,50.939026136571414,54.19903923216068,54.27782268228687,49.58591763910722,48.99358602441079,50.92606296253889,47.62357486366312,44.34384768902179,45.29832752030166,44.82922654415929,49.947587613811336,52.70536689671862,53.39904007848818,57.04706403777809,60.367380511934584,59.03180353506082,54.274674975495444,56.5145083607473,58.758624843408754,54.41491053918021,52.10771118590166,55.30954014679386,54.49780407974671,50.37104463023161,53.5356223369159,55.115289838778814,51.59658693668346,50.32709275475975,53.40467874677186,51.167971511463726,53.91875354239612,53.324752066473025,55.06359841874064,52.642564953732574,47.97566632631786,50.3504949509758,49.58604821613329,46.44108672344731,45.00133348031455,48.29408197112295,45.201755452261736,40.92440891015694,42.40004742534368,44.132847282117226,39.55098762886168,37.264524196767056,35.38974730029474,34.16262110480669,31.619488090155624,34.48815501230538,32.12873324720452,35.90566529668066,35.55493220908421,30.807303660960166,31.755335507515262,31.04513282995459,33.30995380576227,37.7523606490314,37.855543204815355,41.567811739117744,40.291529387727316,41.38919439055589,46.941715793367244,49.05484630733683,50.16525940067727,45.084666412609266,45.32158924698414,48.76487730374846,45.99310914553639,42.279722369563345,45.4074499405707,47.813281141605295,49.89854758321677,50.398037964813746,51.06099829723014],[39.120437136367016,37.35275577454218,37.475772931866786,33.93873632137867,36.10604087364352,40.456569906797405,41.696706557556126,46.31654368755669,46.07338790027016,45.73328826872343,48.874783611385844,52.32105518197686,49.753725266657554,47.49543875184708,52.55268280704397,53.54773957068058,49.70199536802783,52.63533050932597,51.634866465567754,54.05575563642661,55.44504277885587,58.18222824557697,56.77376452133986,54.483363673785185,52.530904839293086,50.37845454786918,49.849285648202525,48.42117732730368,51.879923125570045,53.832871730433396,57.872895362379225,58.47652720969974,62.61929484622423,64.8605590643063,61.66440270050013,58.34114995171277,57.7516863275183,54.792073604494,52.67447863227203,56.1910567059065,52.28463693917983,54.70636919715692,58.2463731025022,55.53854512697491,55.08802326403686,51.58108545363338,54.01846493975923,56.45181923757377,52.04170536386399,53.47259266988442,58.36932621077208,59.5106882732872,62.42655657150065,58.53767615333695,64.61692596356059,65.80768482248266,62.09808608567232,64.18618134229452,68.43904117722029,66.22913377337878,64.0245372108134,66.99564854786865,66.79618254552258,66.57243331625025,63.22585122834678,61.35644524198754,58.504273440967566,57.66536533932042,54.24194951667872,54.42379580277234,52.4007166439362,54.381992968995576,57.46830383730703,58.955130040286825,60.34097537688963,66.09744294336109,64.16249242664426,68.23120417292746,66.32965860415335,65.79949863781303,64.56429985277582,61.973751904780215,61.68175463288465,59.81429835884237,56.06940698039879,57.16927219195154,58.872793597019175,61.95911259431857,61.013063714650045,66.05419489782213,63.627734495475735,66.74173141191886,64.39071234332356,63.68481000783786,59.28711302713968,60.35002056130613,56.26608187507302,59.24804244148684,57.311861077321865,59.8675472298079,59.48283181289719,58.21679017914194,58.168172673574304,55.51299513496194,55.493404374738944,51.00372932725894,52.63693203644101,49.240557877765085,46.35933938413066,49.14267012106084,45.35028784159114,45.33835952084885,44.30632127656996,42.394400258832164,43.97585078425264,41.38083387980927,44.24101441514981,41.438493465217974,46.096469923022525,47.89279701372804,44.93537673901342,43.96813957620672,39.34804747862987,39.30917340737794,39.70914778780758,38.50117569216263,40.19711904143587,40.95192432024082,42.193991996150444,46.10791705203619,42.07397644689422,45.928286808142005,45.06004384669866,48.9909246053017,43.42168242749889,41.8189638990287,36.86904898542961,36.82716853885568,35.63892258600762,39.062360204513304,37.25862204415766,40.83852925463772,43.72066534897325,43.1559015903467,46.59587517745805,48.43577223607902,45.686813602814496,47.6798854298997,47.96594878118066,47.642844318459105,49.566107285281745,51.25197788690789,55.44385979658099,56.46317406939901,57.4592672136808,56.98179713949298,54.17690582834202,53.59826616062195,53.33008357893821,50.89493393545471,47.51193156693868,50.38945388712831,45.301768631954474,49.59565833757383,46.1034444646384,40.88391632104822,41.999467529149015,39.434085230846804,37.23525178604496,36.51824899539365,39.24228376910766,40.58288284691283,45.73516098499246,49.250200769833484,52.29781461275324,54.9707933552081,55.28676263808095,59.88671702458894,57.0709773061292,57.369148584654376,52.81066065787754,51.143906077243926,51.90657174724445,51.87362646144783,49.27717021657032,52.30747304227839,51.84950453737474,53.527011731888365,47.51028747937339,49.55783833985864,48.57283082437618,47.96662132608958,45.658056144729144,44.16396321431175,44.74132090155964,44.02064104306927,41.02210815627003,43.12200584482241,41.13176726225561,43.83110136836091,45.17455368689444,47.13509502392999,43.79789665286446,41.36846113958303,45.16386292848364,44.05532614881991,38.03133366789194,41.168069541129185,46.185266452404576,41.35503355409679,39.63759091117518,43.043018561399876,43.70094933841965,39.1487520095645,39.608346091300696,37.19549371250213,42.65997504572913,36.991003192840786,40.212605888508755,43.9464025734523,46.38468358650455,49.645510896481554,50.65305206847489,53.36161664410597,52.43132453477263,55.18797616656826,54.11090444712456,55.819046417444454,52.919292565082685,48.330499934562376,51.4680210820887,51.23063086852712,46.613906270127664,46.13054029405383,47.8260581917924,44.34402926922017,41.29683624140679,42.33541621234487,42.20184720875649,47.48483973793213,50.1571909401963,51.09855371706159,54.87571423885437,58.3275385410564,57.17340933128376,52.345810006996246,54.717958734326054,57.19594691818006,52.95055896640146,50.58757076006793,54.020360952750956,53.454400576779065,49.26941361068209,52.250742524165595,54.10992820065002,50.87166996581723,49.28930086413686,52.20690703962182,49.73120331197839,52.24266757547681,51.51463880241651,52.97103639061178,50.70237175911533,46.13833424900331,48.13550047001729,47.267875457254746,44.28974721287436,42.668185056214625,45.60362945932326,42.596690628487416,38.49752896132861,39.64232606626401,41.1240581166562,36.752250749101755,34.43746093541965,33.0072532555955,31.408217759976633,29.274907068157244,32.58475890766014,30.499448051464032,34.303193237101894,34.47281680950748,29.609631018016454,30.1116716299582,28.899414616450294,31.050498805675893,35.57893040305427,36.11156517686186,39.65323923665159,38.8576501373565,40.183508751291534,45.724854314032996,47.906095478580006,49.33143796365052,44.248017744628456,44.52653375120714,48.23022154628304,45.64013738199558,41.97642811176089,45.04616209193515,47.7040598869538,49.755943884317006,50.137933542693716,50.88735455780507],[33.08969443581093,31.19434409916415,31.236898290530444,27.580863049939246,29.818066817381816,34.094708106432975,35.38671197387866,40.002879631963715,39.82738348714543,39.64631941688226,42.84287146469431,46.18547375099522,43.761619189661836,41.632514995443046,46.750002991383354,47.720604711537234,44.04005808976201,47.20741427246398,46.5997694985881,48.97030827331438,50.68154272406793,53.54619268875352,52.40551018921754,50.28489308964095,48.04173037353129,45.68754228022817,44.86296348443451,43.135361372028704,46.38842039134977,48.09799461337273,52.2347468271181,52.60905248726483,56.749726254821056,59.17452430215351,55.99440430409368,52.830406292654494,52.07941223202103,49.47255478705939,47.469366811156576,51.21422594693884,47.541899558853665,49.8577346225685,53.54077695613755,51.084367822407664,51.00049474923968,47.64269569450994,50.329730231223905,52.36564818860684,47.74912281082037,49.40037537269372,54.14886696117394,55.16375875570797,57.94321514988371,53.847424520967785,59.77350577168934,61.2973792811791,57.5931186430101,59.33525550292016,63.73743042300898,61.86543725005438,59.446977686696286,62.24805714739887,61.829244980574046,61.934153646437565,58.633090394402146,56.46406295646697,53.65470351345408,52.518609305481085,49.22889440679087,49.14970253798657,47.29625438497489,49.463569917200026,52.35350602836056,54.054930066902706,55.11978807450039,60.99260715714686,59.021396028925416,62.94698887327652,61.055885061060984,60.65557153553722,59.224588556673936,56.77712690225245,56.19745729051219,54.52199604679156,50.85038018286732,51.75707176118042,53.61939673894513,56.443595488364245,55.68076978867882,60.55287938184201,58.190173832920834,61.3786566578112,58.88164774971983,57.99106653119575,53.518014073020865,54.579748382262345,50.4375369333598,53.27150338969311,51.217660761788714,53.6353524702548,53.39355683903572,52.02870881979071,52.16447701898794,49.447851352010375,49.66410320007618,45.071451542949184,46.79433174696261,43.52458167338021,40.46979658962234,43.122893213715976,39.19956305174852,39.2748709281611,38.128741679772325,36.40054961817177,38.079743395575136,35.683725163605004,38.76139937239664,36.255383179387785,41.18429572099434,42.598379690354605,39.60853060375331,38.37326286367214,33.77209567292654,33.460564067081705,33.6187222248697,32.481167502366404,33.97385314475463,34.91990107990298,36.2605442610286,40.35529727191304,36.50459905712769,40.53787888609249,39.863517552297594,43.56278309394804,38.03612280515135,36.17937796825507,31.247410371549837,31.200763949010376,30.065612412080707,33.65151631909275,32.32310685262256,36.259704159928575,38.82078130236467,37.95224459251756,41.43739211680848,42.96571498737187,40.09722160487493,41.83775904601733,41.98287819646009,41.491035689695174,43.32689047088816,44.948208845726654,49.113977210531175,50.111482949398045,51.15274309342095,50.70817148402274,47.98124108080397,47.405730565614505,47.28176465329261,44.885150988991754,41.754577100489314,44.789678508832296,39.9403716255777,44.35539657369549,41.1027706354649,36.059774649299094,37.2384175190801,35.107737915368716,32.60716724465099,31.560471885915923,34.109834571667,35.25427525822983,40.42289183616233,43.82026533195663,46.7486207406512,49.24426641954351,49.48617260094425,54.13582978964242,51.55105655455892,51.826213211231014,47.51763316544775,45.53087224292345,46.653761797005835,46.90373024662311,44.27578635208063,47.483284111778175,46.9988155591203,49.103758961571394,43.12471272100951,45.40056597582212,44.50835889288921,43.481318894785595,41.186015589059835,39.463103116894224,39.966753022747525,39.27986800620781,35.906937836645376,37.94740302437643,35.781066626322094,38.1675416997801,39.648659545377654,41.32391477185738,37.87339697276208,35.66322245677776,39.46529514794321,38.07711834458068,32.116802598862535,35.482209349923934,40.3520962433552,35.34602277801049,33.827936034008935,37.35012567204543,37.75922634282663,33.24095852516753,34.0598143392775,31.668866744627206,37.35986517111808,32.052854525799575,35.01154392218675,38.84277692695358,41.610432619575825,45.06337174346011,46.1338336131373,48.4988666580284,47.49363059380233,50.200971939871046,48.878043053003864,50.91938932132308,48.20689095655092,43.30814618777272,46.49755047898917,46.711709882924325,42.021163120017455,41.29750985624333,43.27523884028807,40.139912035322496,36.76150082874827,37.590270776583566,37.06861089927563,42.1590942833767,44.92639320576886,45.67322263772657,49.3115831909514,52.70492275784293,51.36910686123031,46.595732632688645,48.970520364274286,51.26596643765508,46.93022055881441,44.67190296973233,48.051684305513554,47.37194008049528,43.24550405734612,46.42219510615871,48.201984100408275,44.87468812014326,43.51582034033065,46.58177568989389,44.17928919155331,46.727211018891374,45.914447156638644,47.64655454888172,45.46447244157191,40.66170554138111,42.8536839773653,42.28329103701601,39.19960985944781,37.485467010111975,40.909672801090345,38.09154902641803,33.59563370784612,34.89553697843819,36.96391807036944,32.522041030219256,29.96584650066449,28.04065720687575,27.253383619666693,24.852804736129396,27.904875899881837,25.174645967763023,28.727020867785917,28.518997516219514,23.75360378040485,24.350857072006388,23.53925037081212,25.61976745414409,30.08595632288197,30.20686358331246,33.86208821257372,32.800070661900975,34.01314329945096,39.5626315316019,41.749096826194304,43.04891876648396,37.960956652430596,38.29613893383943,41.94230867026205,39.27771385308936,35.6667900860764,38.83770912384831,41.54076496101302,43.65158002757255,44.11086011826116,44.87747572221215],[33.58314532399051,32.147165634143214,32.90724903563411,29.231798571124283,32.25595486784848,35.855896435845246,37.38664231320242,41.97763240035725,41.43997358383456,41.46848548729931,44.465926329760784,47.87535500606225,45.8789007266526,43.43778760455528,48.59964653251327,49.857310039539826,46.3717484491395,49.58783872486934,49.070830298533224,51.742428541582456,53.48494100822738,56.59509078847439,55.371608624428596,53.39879484578394,51.21153147499676,48.6005933667098,47.91451140140972,45.96027087408665,49.06188684198828,50.678241453672555,54.425440625625605,54.97859339451097,58.95469052535782,61.52407828370478,58.56779733481725,55.49101359922814,54.905339883677904,52.53411247615635,50.74503900359895,54.81965428816002,51.11809286536097,53.072643218943405,56.911011722104966,54.60224873441052,54.51608026653888,51.25348412514213,54.0687947248779,56.10657542230948,51.50981645168879,53.42119674206473,58.081427146693045,59.1810192175534,61.821699966209806,57.591355574622,63.43865054385856,65.00954082149151,61.17401919893744,62.72173883548569,67.19798157855732,65.3683363149083,62.69118703895663,65.25413615205628,64.64720048922936,64.69720747280063,61.57193098740802,59.37174443063001,56.198622028757256,54.94877284797176,51.3965682992069,51.083766653439966,49.10821861531984,51.02051530721957,54.118176355069295,56.08683230412824,57.28662563475119,63.25387848495659,61.618331499748436,65.50592761072467,63.8601674085506,63.71123431200594,62.37911802320248,60.18931478198865,59.52305783703923,58.11894863290952,54.44647366244029,55.052423611116424,56.7946180664439,59.44634097045815,58.50587775438957,63.158536625285876,60.57891883518192,63.540251011142026,60.90178650910866,59.96089469373949,55.440462332911565,56.19834389379226,52.016619171886376,55.177602940688,53.13524347172809,55.501315040751976,55.707209284687124,54.48295461145351,54.934097084867474,52.31842250349662,52.96469208684623,48.26078846333496,50.10696658825583,46.99837326471086,43.692777741752,46.160673686274194,42.00225145133625,42.20951754047887,40.653064106425106,39.17326646814131,40.54177930975645,38.31581535700129,41.37787572002297,39.00453010918726,43.69554006902695,44.94364729198303,41.76665341056933,40.458448213956075,36.0282473274385,35.76635208579388,35.82159186989279,35.26714123312917,36.58010379631818,37.973899859821515,39.50731726821762,43.829704735672195,40.18561796245159,44.34169204753245,43.86660263419515,47.36277430468722,41.88374994972221,39.74134384162701,34.92014214065681,34.70442227725782,33.365149093194184,36.982151241497874,35.6170710779807,39.69762615988468,42.00166790598455,41.152830672497636,44.740073962554305,45.978906596690564,43.066893952671954,44.61523203007229,44.78615676960412,43.905767576855716,45.750231259540044,46.921729015609245,51.14581170867343,51.6255517428184,52.805864954350795,52.73923726428414,50.156283794527255,49.869801010406526,49.8549340635514,47.81171290401228,44.9766646520393,47.96050016877966,43.345562467471936,47.897028046992816,44.96823611821951,39.99870607142319,41.39776855762646,39.4613000314732,36.92800210172233,35.62756137696137,38.107182385539446,38.98481086378222,44.158216677992336,47.43199414552925,50.18114341467902,52.534767873105764,52.4976225183967,57.32088813902082,54.975599630773765,55.34701984796891,51.267093446070625,49.082251685226694,50.56065143903969,51.00722643678308,48.32444547254296,51.49736636062403,50.83236529322586,53.18192783064755,47.213771277092825,49.68371489237896,48.93118124204323,47.761835718839976,45.56336424112133,43.76432743751739,44.22896971680976,43.51281972607398,39.92515167559282,41.80235832471668,39.36672349104193,41.518537384626676,42.821798482665045,44.24596747835453,40.78547417200504,38.53471879738854,42.093255053955446,40.451402026946354,34.528113004848464,37.750932918034984,42.35272108749283,37.10075954431247,35.47554640660555,38.796215805248686,39.01301383023018,34.32822125743009,35.022098702705556,33.01183031959079,38.536291650408884,33.755867021547374,36.982990844899305,40.60892082259253,43.69785416998136,46.786156259356176,48.30113939094758,50.85558688953164,50.15733881530717,53.05849929118799,51.88057188366107,54.13905770296573,51.28714436498508,46.46661541920899,49.895198529665905,50.198360470137104,45.442797015479094,44.86933375459331,47.09548175637771,43.870064573231744,40.35227707780344,41.52330904684534,40.58874755742029,45.73725135339695,48.428956202101546,48.818928846106886,52.444064549351836,55.58626708853069,54.302347241599065,49.56237028533278,51.57050642831997,53.78025679067814,49.48672355250087,47.06605843464822,50.13314394240665,49.279288984416006,45.13830409749759,48.278053003553275,49.776156530238346,46.21353937995686,44.96645502115806,48.06824321835527,45.915383128192566,48.76822464104757,48.29008366585333,50.14368842715157,47.608503737328554,42.931232657518656,45.538558099094324,44.79563119608099,41.55232412430378,40.29431831033004,43.80396416785937,40.647969255326736,36.26296079507838,38.04749400998782,39.96285579147841,35.221084398612824,32.99100466196869,30.75133387308361,29.86583027681745,27.01979630084717,29.57821734505854,27.039232640558833,30.800374234327137,30.315255506674543,25.61290023540432,26.789351725979905,26.34543470216421,28.79090534709677,33.11106507841346,33.20958053485043,37.10891572312503,35.80877609320677,36.53055572306227,42.1190350546501,44.06295393736072,45.25671373864236,40.19288325455441,40.18228829741004,43.61354474677071,41.04860028906063,37.131698291875054,40.11531777462019,42.491624217515394,44.582968068272166,45.124915757719705,45.819032400993436],[35.78259764621571,34.360622017109264,35.00916548664806,32.02192915500658,34.882020812890204,38.88612746643003,40.701060265859475,45.25986317909597,45.13918064084568,45.41970448198968,48.56232213090317,51.77963640160145,49.80205742299469,47.66700130411451,52.85775149911071,53.94572074877126,50.484552050873084,53.810292971721175,53.38960515198461,55.82447760541122,57.62497145692335,60.55080042027771,59.426147010670924,57.33192943013823,55.07877068513373,52.669395145653844,51.792781189617855,49.92694512554548,53.036420538950324,54.538140002419404,58.63077668680258,58.85999475236561,62.94204664849592,65.58172800692842,62.47382365414278,59.45046299658147,58.58450032210809,56.24480482909587,54.28647254682826,58.037169235499505,54.487087526135234,56.82525401828565,60.529660232805746,58.10667844527707,58.05549768106907,54.675296437459565,57.32886027374563,59.37691079237393,54.72631373786869,56.27135374330983,61.04613715879807,61.97757004909679,64.80121349907613,60.727005898466494,66.61921646612282,68.23688760799239,64.58615879233112,66.27109415688828,70.69840799565961,68.89378615538965,66.46739286209421,69.22216960346222,68.72059720815719,68.88963176349644,65.62976375096797,63.39451437187686,60.510355745987,59.25442560805677,55.90293394331595,55.62216891618867,53.76090223217564,55.82159386160053,58.78664618565781,60.689612537062445,61.722907288675685,67.67415015026577,65.80710536570602,69.65920731598638,67.82322836056798,67.50126975597678,65.95140043999402,63.53563114509459,62.74531858310369,61.08553306129396,57.50498452312847,58.40706690599433,60.41183803201513,63.06527074623,62.427060632375614,67.15804269240252,64.77870044786985,67.91483504000745,65.27749127925769,64.23895421650204,59.68550965277821,60.56525880644101,56.3466285428983,59.217675370052305,57.005559098850384,59.10147289427205,59.30961435861575,57.671640466790734,58.19664793145498,55.1999065013855,55.53933036317751,50.770378313910555,52.21469912286018,48.85247770890977,45.5920667798816,48.3842539398553,44.472365876121806,45.0678470461618,43.88521432110407,42.55750248599277,44.36454464599268,42.205076451709104,45.42136650001579,43.085978386219814,48.02039392316122,49.25467924438097,46.17585528494788,44.77316799985856,40.267000554013364,39.76877937134269,39.585722928568735,38.61103509164795,39.44371115689388,40.69775504638456,41.8105658604865,46.069007980703546,41.977546462340975,45.87323505409234,45.5858219571134,49.37596174932723,44.05283610698953,42.330724776823,37.18403566178261,37.591465804891094,36.69033730864524,40.37813726493029,39.2947781357341,43.291527978614496,45.79044610418424,44.80951500702832,48.29474636966627,49.66121699693947,46.71260280683654,48.19638586790216,48.1058863975917,47.320251417510306,48.82137672473467,50.22243876587993,54.190958244348145,54.79357363535496,56.25551958272795,56.106363012378736,53.65609019630299,53.057998764757166,53.30107415505203,50.836304131195654,48.064403752659665,51.33125351012029,46.64019265151533,51.06064078539851,47.757856862634405,42.80695920976548,43.70921633057081,41.571437586866935,38.866950755222994,38.05905511606206,40.4603461376406,41.77065540145732,46.89502972585482,50.252410218799454,53.179643355117356,55.485885099887795,55.80472404426939,60.39520078060211,57.99931719587401,58.1146258870571,53.93335477493379,51.639041956419604,52.74384079602326,53.018964259292396,50.5721457464531,54.06009496653123,53.76082542983814,55.839875860945334,49.89268396024877,52.0134823710816,50.912228070194764,49.89757348857573,47.306757600514935,45.404797311955306,45.621099288979124,44.52760407180874,41.162244158287706,42.77244327767921,40.25098305178501,42.827436103511786,43.63244748269757,45.47783703422497,42.29871636723376,39.490092650425694,42.920666125270806,41.79945100489344,35.74735127237285,38.47164954691216,43.32190888950895,38.49036382642057,36.455790375946,39.57214007144897,40.36392392547399,35.71085988928418,35.71715605137463,33.55259206640211,38.713134888580406,33.33892066821206,36.90612186895912,40.38386261520054,43.03412070729945,45.894389735371774,47.34459894735163,50.32422681038652,49.794401454953764,52.83550604225659,52.083773313545336,53.99099671949891,50.80850438223836,46.446078579485366,49.96796679872007,49.744348984104974,45.030377871603015,44.887837222388285,46.999432591917106,43.26383344254365,39.99629629202947,41.82600341358444,41.002260986766565,46.594869436637204,49.019677976550554,49.43070484377766,53.3181317749169,56.39768108553022,55.54819414646463,50.6936606985636,52.48110028177307,55.06133756182383,51.02282229106278,48.26445320511186,51.385310026887986,50.80377853007825,46.521871011470616,49.22319764723808,50.91442835976078,47.62265402601497,45.866436670181976,48.67184736525039,46.364060786661945,49.14394606660568,48.85541798865699,50.28389262301182,47.56222586654318,43.27725133069686,45.674072562846746,44.46161674257035,41.33550976485453,40.33336941366721,43.227279160313444,39.74478990004078,35.87895528535593,37.65837373686378,38.838855836611266,34.070099640381414,32.22691284367711,30.481189047960235,28.63683702785699,26.017876737284404,28.863365610280415,27.21733150638074,31.34473422077142,31.61743188202066,26.748051410157167,27.72948958559623,26.688043495666864,29.40752928096588,33.74900844116769,34.717155537854424,38.60057522008703,37.963349572890294,38.527133668899964,44.148495297563436,45.914235094292444,47.609404129290944,42.57205974295315,42.197187618747414,45.871565167476874,43.808474697183485,39.6117581971744,42.21494802591149,44.64196803061803,46.61193869298761,47.00303397561009,47.75448895921632],[32.7322495424793,30.995624152388523,31.18753662387967,28.35833496330879,30.805337492755974,35.21198030376111,37.00684025782427,41.54593880175099,41.76368451986758,42.089616486848826,45.38642343615528,48.44999677831153,46.34010971982728,44.52647631689907,49.70557634445284,50.58366441909381,47.13368889568939,50.566700981805965,50.33164024671696,52.51010420360063,54.46665903018584,57.26843606834135,56.35826322408551,54.25805556666813,51.81912214556517,49.50333673363603,48.3583233456029,46.48782221153906,49.548104844993546,50.931582652158056,55.34801440492188,55.27941509287682,59.45878286448774,62.126524258659046,58.88156973706822,55.921944841353614,54.81596089250134,52.558888358059974,50.51567356909429,54.10613377782205,50.75784845683459,53.31280707326728,56.95434473504158,54.56820107763415,54.71763659900553,51.35495031780373,54.014256528549495,55.84473226361213,51.088280738673326,52.508618404597975,57.25604256444026,58.02957641554762,60.88909487577737,56.83691042724013,62.67480136816978,64.44747411730017,60.93100011478195,62.567022218551074,67.00389961671286,65.36504054645023,63.03772758557788,65.86764461388398,65.38113628311608,65.77762505552667,62.42801786888149,60.05621870987985,57.47087162759412,56.12513274012747,53.046576832024925,52.76079000173577,51.089561152737375,53.40473255269611,56.114115008750105,57.963682823622754,58.71510266439094,64.64963198344289,62.535396161347215,66.31087026095516,64.30878624716065,63.878214507964515,62.1251299293515,59.59854421018956,58.673598648731556,56.91193083728083,53.412021337163466,54.444682553997815,56.65510471768713,59.25108763287037,58.88212074803105,63.64230635508089,61.4702578732467,64.79847186639647,62.16930219545784,61.04099341017934,56.48108070029034,57.547593562923055,53.32579895511094,55.863690452931834,53.54867713382974,55.52376035416015,55.56886213806358,53.701769278643,54.17443614094974,51.00189053123383,51.155065536685456,46.390305520566606,47.69945823818996,44.262215885992745,41.063932127145264,43.96616378827101,40.19101574925529,40.87737823188674,39.95722240603915,38.65702781589132,40.78496146551052,38.68473028634935,42.0406082928735,39.828678928941635,45.0441284887884,46.14997679464936,43.19811234681032,41.675334555838575,37.11265937551427,36.38144568657334,36.049051863335684,34.71035041650309,35.36272028460125,36.44976194593211,37.38206403567439,41.582447059948,37.371265559969984,41.20361948114949,40.97648308838148,44.81398427945514,39.56631304515233,37.9911287859763,32.73719731274982,33.428135209372684,32.80622483638304,36.54531612325237,35.83188178939013,39.872018537755295,42.36068114173926,41.18193685065469,44.580324328669704,45.95384055505067,42.97508370317297,44.39285798832377,44.140703253118275,43.49395475921888,44.83993903585558,46.49806748459112,50.34218114808867,51.245644348454015,52.72093563729525,52.3674650118683,49.92608426322629,49.09646659665701,49.42763185372583,46.69545749221803,43.94053557347597,47.37752224470614,42.70555281765642,47.05112326241213,43.6262787809185,38.78170265027201,39.44738588776934,37.40201198483301,34.52523526246013,33.83323121262919,36.12215379219273,37.58197880006243,42.65386039326452,46.01446524359897,49.00374608715849,51.2649141394423,51.78539238804713,56.22757556107494,53.82558433977796,53.80832195112104,49.63267991070603,47.25168909582726,48.253156122962686,48.52738110695968,46.17125879041147,49.8409300267488,49.724339204371844,51.81617150968621,45.92899227102229,47.95313280889377,46.73704347102377,45.62570977531143,42.89340576207977,40.88934033930252,41.00939612400494,39.841411865946974,36.46549395543665,38.03813105711326,35.540928038510366,38.18982064076579,39.02011924975161,40.96280398484035,37.811346489184494,34.985788413862096,38.51805134689064,37.52620411107266,31.451744660717385,34.24094921861691,39.23349654639551,34.54993294039419,32.57008936864938,35.81922227134595,36.73165698998303,32.18968176231548,32.29116026412618,29.870364488239943,35.18420524431479,29.5272459343805,32.89497744469422,36.5230008718285,39.067603069210044,42.21326283177535,43.42013607182703,46.20213887697552,45.48922939881413,48.43059126756941,47.566001508979255,49.443799061102446,46.35702606296045,41.892026577920994,45.33744939583245,45.17071795380978,40.45526429837753,40.214443413110395,42.31550230977884,38.67633359791626,35.36781122793228,37.086590427800246,36.30381091070566,41.883045179284366,44.32471907478647,44.83323513153808,48.72114095588993,51.89367296795829,51.02832509060645,46.1572784827503,48.09321929013523,50.717921245634294,46.672694047451756,43.97422455667244,47.25581975387811,46.778964307348346,42.500863973956946,45.22020226432359,47.078576761891355,43.936187544096654,42.111037227563116,44.91018766639958,42.45525224473151,45.0647981163666,44.58456125609991,45.98891292793085,43.46945362528606,39.070187763344805,41.28553830314439,40.214319670683196,37.14385709723918,35.89432730784701,38.85438438757942,35.577966946654186,31.547892624236557,33.144475056528776,34.54626788058798,29.883197047677545,27.813214535073804,26.09832996041134,24.48725455325599,22.013798292119418,25.10984353405183,23.21774173574899,27.214741250289734,27.65109233355195,22.741110576881194,23.412073130281875,22.20489782475611,24.79224985129847,29.18350305044158,30.210642841557604,34.015105821613155,33.56350997108257,34.26209903245949,39.86549624210368,41.715096247159906,43.533143446014336,38.49657460112129,38.23717593518349,42.06078554204183,40.03860179201557,35.96433614721347,38.618813515271434,41.2615152740876,43.24015511820096,43.58770367964706,44.40183943874357],[29.41411737760718,27.85939753516801,28.460520477458676,25.415172813019545,28.419462853508794,32.31261860153506,34.231747535289536,38.7611586086578,38.7404985371481,39.233727642572646,42.4235846311626,45.49734911418163,43.7008689827562,41.738181100189976,46.96096405240923,48.01024234121813,44.75763105328649,48.31548697375234,48.31867439834499,50.670096206497774,52.79163638345076,55.817821707361034,54.980639630604514,53.07046003504721,50.539249149305306,47.952372789404166,46.77060336651545,44.610088245247084,47.47006407053503,48.69211293157078,52.876934934183375,52.84390392862606,56.90883591256325,59.73494297666467,56.65233879344571,53.817242385779174,52.77293185522009,50.826563590788865,48.997657352153205,52.94330695327115,49.673945235273834,51.89458000483948,55.7101064700701,53.55800051741916,53.87907730253562,50.67578217407681,53.54974584405936,55.181248498581205,50.36069345004701,52.10513104891555,56.694190045902,57.488047897544526,60.15846716734352,55.904651871406294,61.603257461027624,63.55295884174334,59.9344243763617,61.26210139763664,65.8165271635634,64.3647082352649,61.744493821242735,64.31903518988216,63.60157015763334,64.11070537719954,60.909289273207776,58.38211890940015,55.57475929767306,54.020016961251784,50.84201270237729,50.29028410020005,48.62848890467467,50.8762312714354,53.60786654714648,55.716512146459195,56.401975320237305,62.44027675560924,60.532167221956726,64.21544562615476,62.39027404223905,62.19649073212183,60.444827371157636,58.182070433651326,57.09075670472066,55.63419477829556,52.15680133747355,52.860881901428456,55.02933712221206,57.392096404712426,56.96159551878496,61.49449364163011,59.20291953555623,62.41043698269848,59.633806505428744,58.401077620586875,53.78696087898411,54.666557628570466,50.40263436697458,53.08762374398357,50.74817183258534,52.66943893472556,53.03790190360873,51.27767267985274,52.00925671891141,48.94003087125635,49.525221736555004,44.66339007157834,46.17756341351951,42.963290522779225,39.519720756434744,42.16824964738713,38.13370206966569,38.86659320993492,37.57493383854951,36.494149127130164,38.41878107750463,36.517450847738644,39.945710263726426,37.967917940314045,43.13309777083479,43.946275475946614,40.86953370792277,39.18226334977485,34.753555025274146,33.93664577449577,33.44527135421407,32.556132275346954,33.07103328446625,34.55814924487464,35.74359014966219,40.18198050660406,36.30221660375933,40.35181473598767,40.29794216582532,43.81681537967579,38.598957347105305,36.63569582903183,31.54553325232455,32.00192011364348,31.21041319904459,35.02404759685318,34.49516816405584,38.79190823848064,40.926116177657654,39.629593593481,43.115857285055185,44.137245766955786,41.08571641033619,42.26892944303237,42.00420794064529,41.02744318511587,42.39448749126777,43.71785247774609,47.63344136601306,48.21448709445251,49.73630477254527,49.62680692514287,47.282102610690195,46.67611491755417,47.09664128412881,44.66991180558942,42.20890865431069,45.63713293092165,41.249056067622426,45.74752929732343,42.71728062080896,38.020262278975494,38.95055018629525,37.29142244801843,34.30301619810842,33.185347112749824,35.34742423083226,36.4499935453684,41.524913345455225,44.72676841763579,47.50905239977778,49.604027592329636,49.8557330067569,54.46233735524872,52.32780871301865,52.406894883093926,48.518541451515915,45.88882663995041,47.36003184104897,47.92885438458434,45.47765151353529,49.13407525210788,48.82368302124909,51.31575123642642,45.46962154458639,47.784589283171364,46.77970981156233,45.34924989747523,42.7833724878982,40.65567616199397,40.77770720201547,39.711763845336044,35.9756951105022,37.48014080094133,34.75852229128217,36.985365377023584,37.90406246493246,39.43733691071826,36.1531810160552,33.557974601053964,36.97598960391827,35.55254391795643,29.557802657845208,32.51164874599529,37.207159677876916,32.168689633293354,30.323732615626255,33.576957172427704,34.106405223175265,29.454711573166332,29.84512122448212,27.69427267698063,33.145688339489496,28.16084603277971,31.457127705976497,35.05538561790036,38.08908465940861,41.1733639101564,42.69025848982217,45.29034608420778,44.67643822508318,47.66359547186805,46.645037565179145,48.91176371337751,45.93746973448775,41.244198075111356,44.82575565769184,45.086787490012014,40.299567268298595,39.90788092334224,42.3239973713639,38.96937618802521,35.35580216074392,36.97934008145434,35.7184527068844,41.09744678034804,43.605670779922285,43.795553022201624,47.53188580217005,50.54192953182073,49.5052639998588,44.712341038385894,46.48828837465182,48.877972897210185,44.74789499420357,42.08784740551119,45.14876886335246,44.446488655157665,40.21581163391779,43.12684872099413,44.73691056565793,41.34225764526178,39.815588756490456,42.79366640427273,40.55799444222187,43.387827607361686,43.01142013491682,44.7415397895353,42.10898996116256,37.55419702220361,40.17717904641607,39.28770457926462,36.03658455629581,34.94834550798572,38.38174455068746,35.10340902925826,30.79480395001591,32.77150377738259,34.59310510335539,29.744828290178656,27.651123712396362,25.32661949380647,24.404033403887244,21.43984132807506,23.96090012925084,21.560145206843707,25.458402711477145,25.317730441921306,20.5160129678488,21.678270005152086,21.110960931714708,23.816357079402525,28.05823127448665,28.62452017645553,32.64211692369063,31.749853240195392,32.11937485281162,37.74895716534742,39.49885660480062,41.08467477659923,36.04441341714577,35.68613023539912,39.31166333224367,37.204015758141985,33.020401500292664,35.706302948165295,38.18831460505694,40.2131818544935,40.66835336102736,41.44145657234808],[30.093828573888818,28.992214472879066,30.186043484361146,27.55945810179362,31.12989918980626,34.556128606534195,36.82741422369677,41.26205552915326,41.16476124440369,42.000753184188454,45.07798261816968,48.059529440401164,46.68121476406444,44.65507506736096,49.900582671310346,51.09146843168852,48.06485918388662,51.734722763931835,51.924944331731524,54.38311005750201,56.60200353531106,59.744863494416066,58.93498520894606,57.11145218076564,54.555445689792066,51.84401275952739,50.6396003673,48.306609553833496,50.998148871114026,52.03757517888319,56.07030896860289,55.97700169073278,59.93675978053939,62.94395895049058,59.98635267415692,57.29196810338958,56.21823462676953,54.549822645463465,52.83789651317578,56.90979255933828,53.736012668939125,55.83276768074459,59.719331797802354,57.6727786266877,58.06321861101431,54.90684898501096,57.83032346970049,59.40919910470238,54.55975728821735,56.36249300515054,60.90387540839458,61.66099788571755,64.291231288879,59.97206411684947,65.59314987929677,67.65429456538095,64.03181616453033,65.20998333987052,69.81434510777346,68.47149285980713,65.7354448404367,68.17772014825596,67.32350663172409,67.90003183836983,64.79193124448936,62.1790445708855,59.23837417651989,57.543592761697695,54.289866851598696,53.52162029238995,51.8554749433451,53.9913899788351,56.779360343653764,59.102643887934505,59.75331612219136,65.86133522993302,64.10890000825373,67.70572181313158,65.99358339664224,65.94334615467277,64.13253291307717,61.9986303278679,60.731226259429675,59.40448699921892,56.00082329398873,56.57289834787055,58.79131355880289,60.959218748183595,60.5693549259675,64.91424935773078,62.565643178697925,65.67760705239084,62.76549061781238,61.41001366017066,56.74672433358425,57.42829937756401,53.12442813933558,55.889432807974416,53.45919463148666,55.15106258594248,55.934009055745584,54.065633284950536,55.13727682057159,51.96332896923925,52.795605893744,47.820377687809355,49.23708021250324,46.07665329112149,42.443643249317425,45.05189809113784,40.96002436143451,42.01569228433462,40.56262722455124,39.81255443483572,41.69854240371539,40.020026119893934,43.51271515992,41.71879077138847,46.82402089282225,47.43086651799545,44.267071974383995,42.44421097617506,38.16131645586987,37.23309473497781,36.50285120438278,35.9092876418356,35.98977826356334,37.79419788572559,38.93153945347928,43.51047871470943,39.64999444535842,43.66020767133697,43.89553592006424,47.32767069525895,42.273924550314575,40.26186125720214,35.16690923505969,35.77398995414849,35.04153808808868,38.89657830520464,38.53123698284403,42.92061875400407,44.896328567696514,43.51788979484737,47.02182195941795,47.81997137106415,44.71744103601418,45.6617518777269,45.26429994102889,43.98743341036593,45.15129071161341,46.183463294998276,49.973286560644986,50.15513910453613,51.95448772196513,52.138403392415626,50.021651616508066,49.50378050366074,50.17697159046446,47.85507020360241,45.73585508949219,49.26342827086031,45.0936416534149,49.629417140572095,46.72823747229735,42.14818160552677,43.023441570779234,41.48734444564027,38.38057855157992,37.26104094681009,39.291735864833086,40.35078915221627,45.3707568700041,48.47486564359723,51.16184016422442,53.07325521766247,53.25905574734467,57.87579092785414,55.966070531396,55.992792724787805,52.30294716625881,49.41970689457291,51.04831409562337,51.73533612204342,49.36323895754649,53.15266905737733,52.869488789984665,55.485288699194996,49.674733304396035,52.003116816146374,50.95739383079821,49.43904068120226,46.78116848829514,44.52695587336076,44.488711669123546,43.2314142974635,39.40416069296812,40.61682924131182,37.62459531509062,39.78227760156963,40.29612418659067,41.75686617515727,38.6328680622119,35.77886177198884,38.85763241350253,37.448660921630434,31.523718637894184,34.061044981128525,38.549204638999164,33.546928013922354,31.431249553965166,34.34578198073787,34.96524906805955,30.242274500895082,30.166321723198404,28.34473873522797,33.3889461432344,28.73862687965866,32.38522690966999,35.67157143268615,38.81107998993194,41.418601179303224,43.34676290960094,46.26757410169842,46.01580942553717,49.22546731884307,48.52677286669431,50.854551921266484,47.635805983900156,43.241235782082086,47.06051880621125,47.21277638120014,42.427249794865176,42.347150910797176,44.9482828280831,41.35670345740811,37.72800507610746,39.926704206918544,38.31053192602285,43.87483912460069,46.170818699200765,46.0147901399088,49.82113866178545,52.536637000549966,51.75447408314638,46.976573249264725,48.28469818315349,50.74496181537157,46.80818279034821,43.858495981738244,46.62233193145822,45.894035210198,41.61951877353317,44.26055973714545,45.68416947323858,42.23091200055129,40.57769309127069,43.42717437049752,41.37659519990988,44.44018220519318,44.469195775014114,46.119940748313674,43.09269767052077,38.87089139109946,41.77970335596042,40.54202722367553,37.21852705853614,36.69751713685518,39.934693007465974,36.2389950149367,32.30165322772653,34.72608384786603,36.10655710086631,31.02752413043272,29.43377042454093,27.032518380445104,25.679707831624274,22.43634105560256,24.4751460754574,22.715528325077276,26.87581149600583,26.825073070612802,22.14729186084159,23.741521651832624,23.289953967119892,26.376333811805154,30.38597419038542,31.305826501680816,35.480148727279875,34.691934694395904,34.51845624770503,40.12249726494294,41.53263935377398,43.26081318818489,38.31304473415632,37.44796001114133,40.95653297936796,39.23777815093631,34.67548851761695,36.94972800720284,39.13269662584511,41.065065476555276,41.525010589238164,42.261558281643424],[31.219024717088338,29.743529378688578,30.22037153065793,28.277496701773316,31.057959786904597,35.31304282975024,37.63344677222226,42.01789210594574,42.556270778096156,43.44890266859505,46.77526422083194,49.524279155630175,47.86328645334663,46.338287708067924,51.54854032220332,52.383648429630206,49.265764491504406,52.98853067524353,53.2245066636965,55.261279751320615,57.524526195326715,60.34322835976013,59.703473057498854,57.70789327767866,55.041976244633645,52.66637065348798,51.189036660358894,49.072006701570686,51.83903348748264,52.82079878799357,57.40853701829849,56.89793817548897,61.04798467834744,64.01233220542343,60.778063877943154,58.093019466326346,56.65440154918383,54.89119561902743,52.90843851988084,56.47219334414458,53.501665391895244,56.14527813530278,59.80325829564684,57.59915241276154,58.06069149763884,54.777320215797566,57.492829985866024,59.020415261688505,54.115099578147316,55.444526880227045,60.0946180316246,60.625404437451266,63.474388121129984,59.385441301862855,65.0498429655221,67.150372066121,63.79474228204519,65.17935778969498,69.6867411077313,68.37929236429007,66.0249200728696,68.76725863491279,68.11547378953648,68.86005931695624,65.53304003076441,62.8941332881805,60.46270468415476,58.82493446661688,55.943571878261764,55.35050426816806,53.880867462486016,56.316767399736236,58.83013756873186,60.91871395528642,61.31317510456931,67.32767829920891,65.14960478971086,68.7191411442614,66.6793119804516,66.31576284759119,64.23748769528557,61.75232171111399,60.410681212193275,58.69716372266544,55.40580322540343,56.420990889414746,58.95572969014743,61.20922856998932,61.221904873631544,65.75609256904606,63.74527650587962,67.160919388362,64.35103356453946,62.943642820593894,58.3011008963429,59.30342544971677,55.01405713115214,57.275835383742944,54.699343389144964,56.183117624272334,56.63994702264472,54.30856754150163,55.22527807566466,51.65049668217797,51.91384219951501,46.97779389415179,47.93250164743445,44.45398567556257,41.04271642505406,44.058885753601245,40.38596912146711,41.70742275166587,40.88742414128926,40.12013908793115,42.59307399416933,40.8845556534598,44.50498564409578,42.6923650442183,48.136960200995034,48.814065135954536,45.8788055203168,44.02620397148481,39.597810770647854,38.43323912302948,37.5666919840885,36.2122897409093,35.96098963476457,37.3222179220244,37.92675124990764,42.27051170143733,37.894573740793966,41.558776150619046,41.872698309848225,45.6622847717336,40.7758182193774,39.33908465583354,33.92557347190761,35.23232051460241,35.04950356518542,38.91218805356192,38.87362028851642,43.0863903563504,45.33762266630213,43.81577628414648,47.13510630034529,48.20064027672852,45.110302448099205,46.09967882647531,45.4445828595487,44.524339962881946,45.3616967102271,46.91838284586437,50.41667935758975,51.10433168827451,53.03019768065559,52.856412574222716,50.76535194816496,49.76437175550692,50.59295853565656,47.66238256470371,45.43567997369482,49.24054070109415,44.90533393910217,49.20750833487369,45.80944323056233,41.27621798774523,41.5487377774669,39.793494315720615,36.53524677819621,36.005693653322915,37.948756590049484,39.54383513052998,44.46033389683698,47.68192292901026,50.61821025795935,52.5522969578376,53.244024057817,57.5092836998608,55.42183578716274,55.14729829586495,51.263666251739004,48.39538580780537,49.46985530881362,49.90000567170269,47.79842706483604,51.89971792459376,52.066441278341486,54.31505761505747,48.577366877476365,50.46907080626279,49.03750839138809,47.69967289599133,44.63470854478571,42.31164095552752,42.04059124122702,40.44301806099146,36.94697327682618,37.97549115162717,35.067120066646496,37.758546347332775,37.91650118477274,39.938672757683875,37.10112059634663,33.76113417251686,36.88665475546512,36.163104821356,30.121376201936016,32.2787487434447,37.20257874835069,32.81675079898713,30.41752235711531,33.30156876793923,34.61593633653907,30.10559726639166,29.50046522441276,27.19559586762631,32.03007203863778,26.336779476277798,30.088112977643977,33.41588048987361,35.89174130610401,38.609084870333106,40.1190031126181,43.28019578181338,42.937634060285845,46.127008059716346,45.70127886011776,47.564803629797225,44.15080348349785,40.10360809711714,43.848385604076455,43.479502987964324,38.76670460760342,38.980655630296766,41.333941243265066,37.34281356727595,34.01127934490979,36.62419420582914,35.342350460366724,41.26784294847097,43.35949349330902,43.45842786393143,47.50554190601524,50.336830872312454,49.912426759227245,45.019699679684024,46.39194643867345,49.245592391165204,45.52008606962938,42.39432818317757,45.44435110547048,45.102948066009674,40.73006904916853,42.99549654687051,44.82415380682712,41.825515683243125,39.623333264431594,42.168250379359606,39.76687571874103,42.507523035419894,42.44054304728795,43.61284527380951,40.69538114459603,36.72804550517493,39.123157118641245,37.58735545717242,34.487793357248464,33.856083711101824,36.471436950490066,32.71794519426728,29.158016607654247,31.24685243188327,32.06953014858772,27.141426932014078,25.67408603369264,23.956578982727073,21.734635664584406,18.999093955946982,21.785182148843166,20.76426624081904,25.106518513384508,26.034789582290358,21.196421726783928,22.11180724973253,20.780965910896306,23.88625987793991,27.97902859428101,29.765211078390234,33.726961337818274,33.73910209308964,33.756358503143716,39.31949350464318,40.738386724502746,42.993127088038875,38.088212686554115,37.164308841483304,41.040589488841775,39.70442158874744,35.176023540318575,37.24433621352117,39.73787942802479,41.56312709115459,41.8133569942598,42.66106934421433],[28.593760118583088,26.755212983671004,26.75548513095656,24.70463143469123,27.075342261908464,31.658853695927768,33.83352610624862,38.225283278875864,38.94342341142472,39.74774905749702,43.17032707063676,45.86204650594637,44.01825110923144,42.68274552263474,47.859020113572925,48.54761220980862,45.397403823636346,49.14372723658767,49.45617987365466,51.33313899885002,53.66825651025742,56.409890632572,55.893468187250804,53.91361698200036,51.14536040119086,48.82523415799183,47.20503507616939,45.10332040867915,47.85400164186389,48.805554282355686,53.5709063644547,52.93188064364616,57.14478208436674,60.06964109542277,56.752021744492176,54.07699933813499,52.53702204699157,50.77741416996101,48.754283844081456,52.24787222169042,49.376780275906356,52.10584214509356,55.72583787246915,53.561934321948705,54.1452267773333,50.902848585978056,53.64451894418255,55.02026179382775,50.07084519195604,51.38015277835708,55.98285708521107,56.448137357255725,59.275717323578945,55.19226213252399,60.81312251908183,62.98334873473666,59.68571218580646,61.0299471951562,65.5367803237806,64.31855629086219,62.00248114879323,64.77330001739635,64.13738340698833,64.99854140035998,61.627291746784195,58.92468620140197,56.67119008430775,55.004392362705445,52.296649100017405,51.73906139476785,50.38469148106243,52.97937032895279,55.32420640740217,57.33821758712518,57.57698538319114,63.554273129288596,61.228870061530756,64.7640618385476,62.632085583297226,62.20443689002438,60.04899761620347,57.51684269886533,56.14207847099171,54.392714145016654,51.125098720206196,52.18810163722674,54.79823024915294,57.044935564526654,57.17141199269946,61.73863816465597,59.84249829754841,63.36445045275123,60.59592416841716,59.17654032215573,54.556133827016296,55.70350940796301,51.437684815834835,53.504414830244606,50.9154285330103,52.42189208809667,52.67110232635129,50.294076742214756,51.08599978357104,47.48983057352272,47.64088436009549,42.73750989658227,43.712166265356295,40.22247634132308,36.868495549072534,39.904753288721395,36.2779567045686,37.52166553475748,36.84747359209403,36.011541015535975,38.64002432882427,36.93278584216317,40.60390542140931,38.85389375006304,44.43549436975244,45.05534614498069,42.221561250572826,40.33225765555001,35.87820666632524,34.60603817795744,33.7126532564371,32.112699276179306,31.891836790476248,33.10026135534023,33.67137201853775,37.973953702668,33.59946515076256,37.304749400674645,37.56914946680716,41.34199148002442,36.43706162205105,35.02030223221351,29.590142578419183,30.966177496834398,30.909856689881526,34.77673454173982,34.94726594497723,39.171337117161066,41.383864516196994,39.760157040515864,43.02282576898766,44.09934010460636,41.01041369679536,42.002962882658196,41.3073294048718,40.526458217889044,41.36687303893384,43.123363388967576,46.620696809645565,47.58199097903399,49.39290681601608,49.02660118003088,46.861558759647686,45.74453347254547,46.52830179507372,43.47684045536506,41.18440053822113,45.03302462384026,40.699975007344236,44.96218112677161,41.545567817966614,37.08336767778268,37.297590330115405,35.651730806611795,32.31808471798079,31.759534073356644,33.64467730039045,35.259866062259924,40.15063113245845,43.36901082843288,46.32609245171891,48.27214587177218,49.040883173332816,53.25033456726553,51.12675959994833,50.826237592883025,46.934969539271734,44.07218553460031,45.135039633379805,45.58895494091552,43.481152635054045,47.61558604469052,47.82445910219231,50.1194542196947,44.432100918900076,46.33343537404947,44.91765970069471,43.47678411807656,40.42167441244841,38.06174365695669,37.8067010315937,36.27984022523695,32.71288136274582,33.83803064562071,31.00138538948347,33.66401821489492,34.06186112793864,36.06988665101354,33.12791365781935,29.95523904502259,33.29364714554802,32.520060275416334,26.43555253561283,28.894613887679792,33.94360049239295,29.524324438915517,27.330285728230166,30.47902510297995,31.711692336386726,27.2803352328674,27.057675100380255,24.494402044977328,29.692202568035196,23.84138238499415,27.25532609850984,30.85077000580648,33.36721503096324,36.49313493962195,37.734038235545185,40.559064057991954,39.93844267347701,42.965879592953044,42.251250530734374,44.19016286181411,40.996314279268105,36.639415270152256,40.26285329102127,40.121578691523936,35.372588320326734,35.31325444802942,37.66559578299116,33.93578793958902,30.477218596997602,32.7066977353148,31.480202130924482,37.26530700185355,39.499339676941325,39.740638469645404,43.71673995505505,46.71521939926534,46.09610021131207,41.2006864775507,42.858634012258875,45.63594893877375,41.77922389435544,38.842313530159736,42.08216745047777,41.74963521262263,37.41027218289158,39.887559627420174,41.838899274441154,38.88520690137634,36.794046043883895,39.4604550098043,36.937860622482695,39.524230129492004,39.15690362646192,40.46117776357893,37.83690832147767,33.56071964532748,35.82628334599227,34.617621764841296,31.523362181086338,30.47702517550931,33.40056812502252,29.99623330963801,26.01401626618857,27.87424650292711,29.223784040148928,24.411396422295816,22.49229819077741,20.625006921554053,19.014712668221865,16.359851851992623,19.42609842925983,17.70639866811739,21.81851743109123,22.667380790927965,17.758824957543123,18.366137010665202,17.006474188274048,19.905621728455426,24.133887089181503,25.68455809568735,29.5888895567543,29.56701359713235,29.83352348284252,35.404756654780954,37.012449032736235,39.21110000250604,34.268678619623486,33.62864457079779,37.59986813897923,36.08641725558796,31.79214113982861,34.09444689182623,36.829062062792794,38.71533751209714,38.9544042391051,39.84679665687078],[23.905793005412942,22.630175896987293,23.710351729383817,21.485726844184832,25.15111692417832,28.56305531552588,31.113983504594774,35.43437431321057,35.692576293941215,36.9226445254464,40.097438989451675,42.76818974350975,41.6313963292666,40.00550277038011,45.23973852754666,46.2788459135641,43.548196792977265,47.50272689297177,48.23319674509776,50.444046801117175,53.03520140285245,56.17009715982476,55.742827974030774,54.09118994702965,51.21985883545208,48.43851877302804,46.80540113691624,44.20250523457022,46.56540334238222,47.20148800674915,51.48108162907117,50.91362651833613,54.87838267300017,58.11341243895066,55.12830537981779,52.70365915671364,51.290696210454186,50.119055602523424,48.498825322702416,52.601451562734454,49.8622868901395,51.977841570183024,55.885561386541745,54.120676448685344,54.94833367021708,51.97826803818462,55.04373215303285,56.13672166544884,51.12731136330916,52.97060958687594,57.300504556474415,57.813615396166895,60.318118279963116,55.913036538196366,61.27808200594442,63.722369676521375,60.252538290097576,61.07479829273907,65.76321003419154,64.84180772677101,62.0288555365976,64.33850545677467,63.29779201656614,64.31787616961604,61.233519103754986,58.293472479127765,55.6129007192139,53.59028724237258,50.67789674376732,49.62524026918025,48.27139437527195,50.680005829360894,53.09570009998457,55.59030959784832,55.748030648303654,61.895262090773656,59.98923695228266,63.349017150890084,61.56504634096266,61.57660560673386,59.44296263279828,57.398131032685605,55.72945386531128,54.53412603561628,51.329603665404626,51.79931950769445,54.3137420954396,56.12392299356395,56.12688005352468,60.248431631677796,58.1209538155298,61.38349995483302,58.338228202306254,56.7207763586181,52.008338318453674,52.75723668773427,48.4198076604747,50.78092119809021,48.13159965283135,49.46751169849025,50.426688211184754,48.21601524542521,49.564766209274694,46.13874515299507,47.11856442194472,42.04159791845184,43.33597243601036,40.27448773499937,36.459115183482275,39.012884308175025,34.92682505048729,36.35695733087088,34.97062168338506,34.637557703346914,36.860963420468,35.57235735015719,39.33601442996597,38.023283813312695,43.42198765043748,43.521106342056974,40.46281127662163,38.28364398628397,34.144900825111925,32.72039146294814,31.482375631789353,30.80340731135998,30.186389904873476,32.21554755827543,33.214915425522804,37.93391505705115,34.18728659876173,38.20687911188229,38.829773171476475,42.00885887024636,37.2405765921416,35.162845593254865,30.096695338303892,31.066554328131833,30.710510119798897,34.65305865494004,35.10409140626841,39.700827563176766,41.29837983019301,39.50908660742373,42.903301478141486,43.3363596426527,40.13922828612259,40.665892952238245,39.92412149051686,38.466201898211565,39.269806107335796,40.31343905456679,43.8837237987966,44.10854988731005,46.11260164326312,46.292598363888864,44.38447220022198,43.70107353527245,44.71805626851783,42.2579171786105,40.58552308739167,44.402863980601936,40.62777439490022,45.12537658129308,42.42343731567673,38.24726232147291,38.91006090306468,37.89077937971827,34.44337683186528,33.19938290672059,34.8448448833541,35.82412074800518,40.661506599456374,43.56639629631357,46.12764867698208,47.73840681424356,48.01339696678643,52.496526914655405,50.89150240859762,50.75270078621209,47.40824236374921,44.09695179960993,45.981876105041025,46.93909907616231,44.701008065704386,48.785425178772,48.6602059899827,51.599943943269395,46.00677648341606,48.36907897692007,47.30231844025445,45.383009528665525,42.62358761341907,40.08602945801565,39.816037433579886,38.43544230077237,34.314200803155515,35.227421230492176,31.965427270612565,33.83443476302416,34.22864793473969,35.469053043372355,32.37814783929592,29.541207209158,32.497138490015914,30.9514731769501,25.08155018425835,27.63323648485018,32.015829311358196,26.958127965072208,24.880398660211853,27.872361218543393,28.43652770473303,23.72996048690776,23.81682021726433,21.93506576174105,27.205462812771163,22.820929462956382,26.246554270977093,29.612078821278452,33.04886257569719,35.83869700756867,37.798578652486526,40.416378865756066,40.13552347073461,43.31890065136663,42.480758430713855,45.086299851593864,42.005508562330554,37.42864060864245,41.339678081177226,41.86531706223741,37.05292870013485,36.86208076460097,39.77018197397665,36.46911639874215,32.56906524179842,34.795595795152344,32.6742080316277,38.11140816155566,40.360188950694095,39.92282742137873,43.63994350666015,46.227086938475246,45.41499159005786,40.68405749157379,41.86247804617092,44.248426753586955,40.33465663755779,37.350961741659624,40.057474552544065,39.31006919738567,35.0364563153185,37.735365072597276,39.15480202661969,35.710830858793884,34.098709786045376,37.03191379539744,34.99475793014212,38.08161629232741,38.08478550428297,39.921813161076656,36.93246542826496,32.553385764349976,35.65832123239532,34.62464379483384,31.205009598099274,30.71484903806778,34.3435127213361,30.795702726655556,26.557168424904035,29.247361929281112,31.09832221665805,25.9688161506602,24.28917764189904,21.347120208657437,20.837146841671533,17.239646766012758,18.845117222570913,16.481230499672872,20.49154196829297,20.253789965296658,15.64008960161517,17.469714061831574,17.45889081467492,20.651305464556287,24.404540998368965,25.23466793606152,29.528809322225847,28.75704574147135,28.194498804358364,33.77194596439606,35.050249208891344,36.88788417097841,31.988602093642022,30.936685483753553,34.49938579396682,33.00762008654111,28.32760309463938,30.492758463862668,32.79012804690075,34.721735717288325,35.15344403519066,35.92829379315908],[25.259697002353644,23.358103720168906,23.558655177560485,20.429294688484607,23.205273033026536,27.297003952213743,29.193842783333615,33.71434734287491,33.917049180909814,34.48834819904534,37.789499095655074,40.72152244017797,38.89659333030836,37.19744516917187,42.413902347719706,43.31968145360745,40.162349315340755,43.871699271992554,44.17048587517171,46.33651089594565,48.682087753291945,51.68600090544984,51.09602348859504,49.28406947463814,46.53792120942329,43.92265468837761,42.45915549982559,40.15831104093751,42.86570923637488,43.90107607664313,48.29315318181037,47.99614261946125,52.10601484214355,55.01009853139185,51.86829062562642,49.14775530592046,47.91075922226206,46.18505960038769,44.387060542307026,48.35808912280521,45.32440289903511,47.572572901692766,51.40407792897722,49.417845879323586,50.02279346999577,46.93929090109913,49.92303066135803,51.231345808636334,46.29784444171953,48.09714619954731,52.553173721057135,53.210662139454506,55.79978189551307,51.47189202417811,57.0372146405593,59.20603180902177,55.6694646817199,56.790559518533655,61.39888681782463,60.1974749616076,57.531173489128626,60.04526094153418,59.23660918312487,60.01519210063229,56.80592443312183,54.079540144793384,51.467952346996775,49.73523007151266,46.80026487432678,46.13150456530243,44.6741474693937,47.14567431819228,49.61362573079957,51.76773765320428,52.1404786468187,58.19137922662717,56.13756275385542,59.702007766737566,57.80103132277683,57.61516360779211,55.68270256344997,53.45084079583286,52.168639244755,50.77277051445681,47.381446792394755,48.034646594850656,50.36464746351796,52.563907995396086,52.35217832230076,56.808369937547425,54.664186712379134,58.00021121340899,55.1808859546703,53.827313431077144,49.19513526035461,50.1903642767229,45.918651400597625,48.332239412663405,45.89772049070545,47.71488051143598,48.02335445007968,46.12674763259331,46.891666415558106,43.7367855534459,44.359164484997414,39.46513123053005,41.003125199387206,37.85494441691607,34.3563850404615,36.94945931254699,32.89581547438986,33.677181446479175,32.45133359932792,31.47739672402802,33.61575923081631,31.872843382339887,35.46753808073269,33.74531369981472,39.147529855413964,39.68145629391727,36.69517493959327,34.81643117103233,30.413537340225123,29.308643166922558,28.595441947835592,27.54586751263461,27.865601507497082,29.37319805388224,30.558234141583927,35.059448199249914,31.29403148915216,35.42981454002093,35.48526722721803,38.84182885785383,33.69725824948797,31.63417455085111,26.569841756074492,27.128874029599466,26.520642241256052,30.40682319992692,30.373285575545005,34.822546857017976,36.7314856989636,35.17731854473176,38.60824086757096,39.45239302761816,36.34448882592734,37.352977139518785,36.93923313777374,35.95985973958863,37.22796702559803,38.67061475303945,42.53650862939706,43.30685819915029,44.80869607645981,44.57579034643777,42.247105048566574,41.52775209785311,42.03676241994328,39.51325150595671,37.18788030004797,40.75540916241522,36.54012734278673,41.036515393942516,38.125521874999095,33.64389705427426,34.514817900782546,33.20219316244678,30.01706611970628,28.726985806643256,30.693754516697844,31.706360065876844,36.71619933177717,39.82661203527676,42.5516754613155,44.531732914648956,44.82806255469815,49.38392451997739,47.364148290154844,47.38607358164162,43.65114874016293,40.835895872271884,42.47431922540338,43.207107686675116,40.77441354899956,44.55778812710937,44.29771254074125,47.018230540251636,41.28315763334848,43.674915399722025,42.71204258928782,41.00355607355077,38.44851785475956,36.17723629899911,36.24176353601352,35.225629137438794,31.273261797807,32.75827866655642,29.988184843567087,31.9912195055039,33.10516843334889,34.4631104649132,31.077562206672013,28.71297480876634,32.23227503459605,30.636475062120287,24.6815103213402,27.932115981486852,32.596964385551225,27.474533649014393,25.88010999339689,29.34964002100626,29.70736077999705,25.157980374517116,25.99020798038098,23.69355409898059,29.45156160397756,24.63859415663446,27.512786839524892,31.28875627083549,34.48774743591863,37.88716746356705,39.2561164091275,41.45354768579436,40.63549679256041,43.477486556527694,42.169617326787,44.63793980563876,41.91290727024612,36.919093322264,40.42638815415749,41.060685587717366,36.271655012285194,35.59507477245168,38.14429676036965,35.17674475986915,31.358430226771947,32.632480243438565,31.175210345582606,36.31447191580072,38.927592627604675,39.086694366147505,42.69214347565202,45.75557262424788,44.52708152969397,39.77369811506738,41.70773672880686,43.961369183121924,39.72727781760366,37.23334465492692,40.38096192525991,39.642346375112695,35.466943332465654,38.59235228479687,40.24922856651674,36.86854964656754,35.510908838351575,38.62077160631937,36.347047217331934,39.07633109445983,38.470624648773494,40.40923058079599,38.021042436823365,33.18395413570043,35.81487075292227,35.290332412101705,32.019596625033934,30.64626127812703,34.49817335630996,31.581040666885976,26.865144339550778,28.775346888349862,31.209071323705523,26.495582818422076,24.056034634064623,21.369704003289154,21.381434365088257,18.399244374827713,20.788136981872977,17.581457894118994,21.08309406737175,20.639797778135517,15.90128636667726,16.950768051128,16.72307586528602,19.199074842208724,23.38901509399638,23.548390979537064,27.581481011973914,26.534639237073083,26.95977764585985,32.582741000324255,34.4346338198399,35.95192763732325,30.893903731790736,30.722759587043207,34.39556417085004,32.18136811241499,28.156665691841123,31.03146443579531,33.7180264871644,35.802400542604644,36.26677248067365,37.079844685289615],[25.470109674270088,24.180932499280658,25.392108038279588,21.431209934548964,25.221734997676418,27.97482320297985,29.73105626642347,34.237312849987816,33.502469228873636,33.94204512284644,36.84184299983432,40.10799437087904,38.671749257325075,36.23830734962481,41.463863359172166,42.87355496686128,39.84119114269597,43.41069403105949,43.58535570924897,46.33488664479326,48.5588869042556,51.97088086167956,51.11648174797183,49.525279959954446,46.99297451418047,43.96158392337212,42.93360629589338,40.396103134773135,43.004151256214286,44.14937926978807,47.72174271988085,48.041995068129,51.86415601280184,54.78514084094606,52.03439387916749,49.29560559697271,48.592215780063626,46.95936952810356,45.53253750977309,50.10953543978981,46.8054249897901,48.306448002629836,52.393949551852685,50.59995404356421,51.05275325317807,48.14443499326833,51.34135941075374,52.76474703217541,47.981463370335675,50.350247367157955,54.63828681657583,55.60237911701239,57.900315410020156,53.34634489159005,58.828057996394065,60.88538818674842,57.02399310068697,57.9125658171806,62.59723465045933,61.311114114132955,58.18818898785479,60.31207406181095,59.264472310992275,59.77240825883312,56.86540907796259,54.22726864705635,50.92598836182965,49.16290308159921,45.70138166622761,44.82295986397858,43.06668444626391,45.08239912125775,47.96056197551543,50.40960756483461,51.18197238623625,57.32542882173325,55.86592781001866,59.47228488461055,58.01991047945296,58.23548490380968,56.69946879513465,54.93040739444431,53.79740041290686,52.89514375289065,49.38565334210193,49.470926760600335,51.33169445214166,53.43558853132358,52.655627901472165,56.8540433528525,54.25159797719073,57.15025195789635,54.22033809637185,52.97074501333638,48.340340574316485,48.88761839387738,44.618185519307644,47.75015929846647,45.554614403686365,47.671930328094824,48.399659674093826,47.16537861012474,48.10327702823564,45.532627673271676,46.85958423766618,42.009447196384635,44.09493106077261,41.39204510427412,37.71419801384026,39.74373335058209,35.256283698929415,35.649206568631534,33.58549434662576,32.62255224420826,33.8502649242388,32.14043972919453,35.46103607238258,33.73763740912108,38.552586166149645,39.039280785291865,35.74603144162186,33.97063362352368,29.822184354843124,29.143704094629687,28.703520018597892,28.79669882460133,29.62819735612868,31.678878845562043,33.52800264426942,38.18990405284833,35.149037991574154,39.56589505698487,39.50654161497564,42.38187889354684,37.140335889564575,34.42222007759091,29.944576944113855,29.534729870236646,28.149349376084274,31.888629305099762,31.30267075301208,35.86945961880639,37.40849902206302,36.12900826138129,39.76018331828037,40.268823739161505,37.20668723210232,38.178447909538605,38.15684169789044,36.72129345565067,38.44068810988385,39.14255057837333,43.368693110112346,43.44134935814147,44.744200683732245,44.998102930693484,42.64495752439879,42.599550778107606,42.86556113320908,41.205350326440644,39.0280932972061,42.13428521676154,38.174934509573646,42.898093972822224,40.66120363223625,36.1797248259458,37.811321961304316,36.737583437414585,33.87982487381785,31.926676736807416,33.980962625639194,34.28648938944711,39.31641174278185,42.23095469647545,44.59972746913516,46.5463938693257,46.1740928999715,51.13920883164304,49.34387654579042,49.7618148790051,46.29496308786672,43.5507998832887,45.81682598212289,46.81720243511073,44.09342899071495,47.39649117270058,46.561702865826234,49.65648580150747,43.90811456340648,46.782864737346394,46.3029120026478,44.46239935985651,42.45039910342088,40.34422914179429,40.691070970014266,40.07900749662632,35.90484666554256,37.54908124192615,34.766142865106374,36.13299698482948,37.571350388146676,38.27823026616685,34.66707209792297,32.899153560695936,36.22273215742374,33.90083494096135,28.293244356724593,31.788814573417017,35.80978387256228,30.113552936676342,28.870266455730235,32.21352357538345,31.756270568915443,27.075672960417286,28.44481996112612,26.832510357380027,32.5554295505885,28.98771167743003,31.781011099124264,35.351851587364465,39.148815030822355,42.28503453836108,44.11964129503515,46.140435982883425,45.496935244824975,48.36321317691665,46.855151313053135,49.74968678997268,47.201986378350554,42.00895716972295,45.56310514940865,46.65089652014508,41.864971351663016,40.98131873994232,43.72832678147127,41.1193230323219,37.12929014922429,38.060669994025,36.3060293986214,40.97222117992069,43.72812278866377,43.59017943358721,46.887500491742216,49.753656443768406,48.171217454833254,43.62563742369653,45.40887219579116,47.19286593288673,42.80215889722492,40.53214543941929,43.25997282256295,42.07487017103146,38.09188771238341,41.560485002826866,42.70012698511351,38.83477652746447,38.130263338519555,41.50748164459851,39.688401018702734,42.75697735954363,42.32971568718848,44.72084202897452,42.18580446725748,37.24238761464266,40.39317973530926,40.09854978057033,36.66016513392903,35.5417399995914,39.846088316904925,36.92430891706637,32.07843916408376,34.333172727244026,37.06520011866719,32.24581466428257,29.91114237296447,26.746589997470004,27.26912852109954,23.891585846041924,25.465807326853547,21.953919405328303,25.16221900792427,23.654177416407055,19.435200948578544,21.26116259139287,21.958028531585647,24.33923614313295,28.199889450940496,27.450094151966955,31.563955235116396,29.58899803318129,29.743717602046672,35.2380016914635,37.0142150447596,37.83997274237099,32.84946902478083,32.73716371234611,35.84076368778697,33.16966541883403,29.186581871468626,32.253980880375515,34.4537642279146,36.61450420706832,37.3033303951137,37.93781541497284],[29.16304054351726,27.88507064126452,28.99874930516384,25.000673869162277,28.531806938674663,31.48532507488411,33.06273791964967,37.607452730963054,36.78623242687132,36.96168996652383,39.829100903703356,43.23825220669854,41.57487822491745,38.99155120834769,44.179155358290714,45.608454534282664,42.366549077665795,45.72600903848405,45.529977194284434,48.360523034088146,50.32614165290329,53.679658566677645,52.59548684950996,50.867151159735606,48.53809086491658,45.61951258231087,44.845406874638556,42.545415994707795,45.381250728131484,46.78986713102639,50.28299310749149,50.85074223041805,54.692104203779216,57.4328116281074,54.65867451497117,51.744607402350844,51.21218790291808,49.22767467679918,47.69927461402212,52.16345771514241,48.60868191973705,50.17266293189541,54.197163486913574,52.19743470872705,52.36700779496234,49.32733589568579,52.39846365726373,54.12937160420838,49.45821738513476,51.73979702701879,56.16965609871077,57.26363360095903,59.66477170793676,55.20788195984861,60.85122841682878,62.65571414461245,58.73427810062731,59.88756339628411,64.49185379698892,62.930030523124856,59.91991218153212,62.1740519212551,61.289507948284324,61.52117918347244,58.570142089371544,56.158844846537875,52.77803685567817,51.26052035800105,47.64745131230502,47.01128707708034,45.085536648941044,46.96105520830385,50.02872923260669,52.29634609796385,53.360741543955875,59.436537067212086,58.00900750171811,61.763610142012496,60.30735416421307,60.427581564869044,59.07413785314283,57.19649370461673,56.32474469184773,55.2808100526493,51.66336022006235,51.883595193494656,53.58717412852532,55.943522170126265,54.96450415138859,59.336905217408855,56.65216577313866,59.49413827203773,56.689831859369875,55.620224130369664,51.049973193396134,51.6186636635152,47.40024584184543,50.689776898068104,48.62915979629291,50.94685174184657,51.47595915195302,50.39452947184018,51.10704994932373,48.64469326096942,49.7739667954604,45.00764240424297,47.10072089700475,44.28797328387674,40.759924570586634,42.892943368181776,38.47929838278842,38.67770756799474,36.70621050598212,35.46471640955095,36.57668753066399,34.60382940138529,37.73657531790426,35.683931898727636,40.32370310021848,41.180738522872936,37.885042049613666,36.37161048031028,32.12835284764695,31.75553969237476,31.640205950938377,31.618198583539105,32.82482611718702,34.63570038474779,36.46877064956984,40.99708013821697,37.8064226182831,42.17271945043471,41.87495899680199,44.954932147868035,39.55890538126909,36.978210803299284,32.440878159901175,31.92130388816222,30.394378837802453,34.04981869786788,32.965686079304206,37.332745001282355,39.167079055872584,38.15297338467043,41.80848774382936,42.610421134954244,39.63201895218386,40.892837504666524,41.05622206109609,39.82262396246583,41.71115767164166,42.51490369540012,46.81887754218745,46.98180442228921,48.154373374624434,48.329193381899714,45.84264346656058,45.81276164105226,45.871438327371386,44.19741937057769,41.70650719654299,44.65341799404767,40.41593927722233,45.10836577060639,42.67456006118774,37.94815757898093,39.636112928709515,38.20595654629433,35.55846778396936,33.76489733942154,36.05043567514061,36.485880832473995,41.601570437791075,44.657254324699416,47.14154495759982,49.28871115967884,48.941561177329206,53.92484959239821,51.899665561466485,52.3820241150064,48.66639524236287,46.21504697403533,48.232786720241734,49.0257282126537,46.249068054133275,49.389797005848614,48.5098754196137,51.337299151584226,45.478542442472474,48.26828672947646,47.769284186475105,46.20667445131012,44.2229174602178,42.29265017022111,42.763093500803095,42.196325740200145,38.23730796404055,40.049154409618815,37.4356720299364,39.05797441967014,40.53336092479091,41.4609877374739,37.85745086433559,35.99108250785856,39.426748598790674,37.28670420497396,31.576062609949144,35.030055362112876,39.232456591541585,33.63659003563284,32.29502234981244,35.636511418401625,35.34552864155911,30.648771359801334,31.825308145270732,30.11236537706487,35.78108170666501,31.823830800396443,34.78981913889588,38.38722102396459,41.96964941917703,45.08384290154947,46.832001219419816,49.038125780327654,48.369550289831004,51.24651061196579,49.81945489620547,52.50855568831688,49.87032153052672,44.770400917619696,48.26546475452498,49.097813531765,44.31115333772459,43.49767814139635,46.044215819479106,43.237596098184646,39.40706781834285,40.34034389508863,38.9238271926345,43.723297167488546,46.50253205134642,46.57904360777496,49.96885653668682,52.95397975791868,51.41672169252679,46.813171797658015,48.71554353692412,50.60287964406225,46.20805925814739,43.93441682229295,46.768905733231364,45.65651880840346,41.639243598951715,45.04172057250908,46.267316122567664,42.46060066963943,41.632299274910636,44.9419985146674,43.03501016452556,46.05112531816695,45.59867530817551,47.836014956057625,45.302433382923496,40.424648914901,43.40278283813056,42.97354801158121,39.58902531234021,38.400912490799286,42.45933415382577,39.45198998485083,34.73783368669643,36.81391774601361,39.28369875123509,34.46849991890279,32.13844180452251,29.296960080682176,29.301281505684425,26.089720019395145,28.03476084788192,24.85353814408117,28.27552176871161,27.06808676622734,22.67280343509416,24.28216068792107,24.580681001499247,26.967213569964862,31.034345598250432,30.49173939189283,34.5174209127394,32.67775844726108,33.104482517689156,38.62383434489168,40.49635029175123,41.3544039202477,36.33479096502812,36.32904601712918,39.490168594366864,36.751276756287,32.85098753216155,35.945063835311075,38.15717120427553,40.29737412981228,40.94877988962544,41.57216432075218],[31.66449904787878,29.99354673020389,30.47882347211197,26.0085695593627,28.73763993138035,32.10287691941843,33.09657070596907,37.700535354521925,36.81100229746561,36.37032008577988,39.26969143644313,42.88880686371622,40.62806945449933,37.95392119271077,43.03816726296715,44.356984601640605,40.733235524321984,43.761109323892626,43.0551845338599,45.87365887821327,47.510822124926236,50.72182974906139,49.40899835246391,47.51068764254562,45.39720661894139,42.6708071814885,42.17209493195892,40.23648904452663,43.407442866152216,45.22885923292877,48.72702954414059,49.60977486369629,53.53297112944525,55.92052754860458,53.04030792144825,49.848090898674414,49.5421491993131,47.00034335931668,45.3217123170797,49.617758415448705,45.746329794050915,47.38921428815239,51.3050256230661,49.067491910663946,48.93085346212648,45.77748057287373,48.71896755938276,50.746185817040804,46.22962659326559,48.46110185840902,52.998149691211026,54.26424036697374,56.737913127401235,52.40256219279108,58.22042666404254,59.69096749421753,55.70418686210642,57.18379390178146,61.66646543858296,59.78063273281803,56.933816978082554,59.3791025957864,58.74508125153536,58.667108752562555,55.62012322352166,53.49008761679012,50.14036947699384,48.97002658841405,45.29759781125868,45.08085609774546,43.01531821952836,44.86938035577381,48.03383101231769,49.93145579441507,51.28354422580465,57.21480579590779,55.69509201772216,59.648887415748526,58.11355958498382,58.046809292169804,56.945301000263974,54.90870095837897,54.45687034016218,53.23102206820677,49.45941437662056,49.84793814137121,51.30664449168694,54.047023549423194,52.812271545089274,57.48156560303143,54.76495243879508,57.62246823522179,55.06737614701207,54.287249432165524,49.84339398781238,50.61386483999543,46.508315565125244,49.86479754527161,48.046100517620985,50.78781709620894,50.736513777867195,49.973380234949516,50.15013025576157,47.982200228688974,48.77689663363056,44.2530755198808,46.519863991989396,43.67193964007887,40.485526552173766,42.61763232749164,38.32400061274812,37.95106147042133,36.1427779958729,34.32980999906391,35.25653377993647,32.849678454250956,35.6855645861267,33.18335108314968,37.652292837912725,39.01991738230025,35.8177370539414,34.695557632312145,30.285327643704637,30.34382095144561,30.803726143132725,30.51166414281849,32.56719208692681,33.87857874012235,35.83465483212816,40.054889564629434,36.918308661958804,41.26803885233282,40.460865905589,43.65526897686347,38.02025230931528,35.516901398429304,31.147215211924106,30.18747808116376,28.367101479493453,31.819583242494833,30.079109960253447,34.16035807909277,36.32995808461563,35.66335180180173,39.313344575879825,40.53963225020582,37.718851515999255,39.45830957861366,39.96576938495104,39.18451272011478,41.46689124263735,42.582102650253184,47.079584184138454,47.68044468735293,48.41843841924587,48.24709450532792,45.42116580914741,45.38147810963271,44.966829171754036,43.29207297411273,40.22768951813369,42.84173159722927,38.225304797791516,42.842543391781405,40.250013231262685,35.26692495999917,37.18523113075709,35.431773192799774,33.18708501935,31.39853740735025,33.9796513653969,34.415003180412796,39.59093805751904,42.794977772227455,45.392877781396614,47.87261159132618,47.52982952007601,52.53328778392379,50.13026089189988,50.774285203524585,46.72311335515717,44.80720469140446,46.54885708321697,47.097692636050866,44.17334327057422,46.93346710225618,45.90046495502327,48.440899620327194,42.494389431974845,45.27748636185369,44.90234859557464,43.62834546032967,41.89922549815147,40.29638653620496,41.082850550650186,40.85102397624511,37.171665301789474,39.42156963478262,37.273362311699664,39.000196491898734,40.9663461928753,42.00540282310943,38.264876555500976,36.744361218343364,40.514496672389576,38.421311387925186,32.75199745591579,36.56345774526084,40.93507395282883,35.411733016980875,34.360666850629535,37.95507817980795,37.6031468453103,33.06378146359223,34.60498296070554,32.617344298682724,38.51424390796262,34.21017996170821,36.86010382355796,40.683691514941174,44.03122758107747,47.51535661282694,48.846503370669915,50.808320720800374,49.77940734203824,52.40005636231676,50.68349216291092,53.2002635773297,50.81359116094319,45.511019335309044,48.66407305625631,49.504773289431476,44.80226456749796,43.680402380542,45.88096158288065,43.31591855499313,39.653802331163185,39.889532301588176,39.05661659269894,43.57235364081269,46.57513133079572,47.12143692512091,50.41034599802502,53.72980162239562,51.92134228955804,47.344647103800625,49.783504591860634,51.585780379167296,47.01325951793424,45.10652535998086,48.24178994868932,47.17013128922352,43.25164477447335,46.88404443746664,48.29166367022084,44.584945245223665,43.88254872748384,47.261274390998494,45.18001935197593,47.919437337358,47.05706108739889,49.30166641909197,47.18919871085823,42.07685477169548,44.666530115787495,44.541889545915524,41.30256673105419,39.55153778105924,43.63769997096725,41.05164527297645,36.14096835423789,37.64824205187347,40.386881278466696,35.91114324027726,33.171038246161956,30.625123100009354,30.813850646452757,28.046419623726763,30.46608669456979,26.970624835920546,30.087482160962292,28.873685661820048,24.50712836094532,25.573310030627834,25.65713597157237,27.510348272467876,31.743466282338506,30.807786479204935,34.50386971688302,32.52273402111693,33.70030891744173,39.128925373101104,41.3943860570519,42.01728544824053,36.969865163076975,37.60165520833883,40.80524222912006,37.58701578658891,34.24699173416412,37.76743777561528,40.22415140060447,42.4370444279489,43.08029122616733,43.71672804917995],[33.15016766668669,31.753624752786777,32.61547584460199,27.75042055434691,30.780658761406823,33.416990759161195,34.177739727556386,38.689489767885895,37.2290717643461,36.55708416157741,39.14209824740966,42.97083806155896,40.849424557389106,37.715077235966575,42.68674404663991,44.29605442326967,40.71653846304056,43.51610056759532,42.60199113997722,45.78624185813595,47.237544853874496,50.66420738339268,49.125992045088786,47.36728764208356,45.48067808497642,42.545337255687414,42.422104535166355,40.441762817169355,43.57414398286097,45.54101635471493,48.44489409361874,49.8091913907089,53.51900226611783,55.808142618620295,53.19244080138352,49.955768200060966,50.06047293895231,47.48591232378804,46.04265480112027,50.65305921725695,46.58721056882458,47.71948919762027,51.74085022419016,49.609901395721245,49.3072380667189,46.2913851289314,49.32213145086088,51.4605009234552,47.12713584901038,49.70826956550767,54.10258594426057,55.59296840194264,57.865026531667446,53.442051403830234,59.185094322661165,60.502909291449974,56.3170807205055,57.69344381171443,62.1668832143463,60.168726821726366,57.06697051969146,59.26609044510724,58.53091230960685,58.18955768837325,55.35781242184514,53.3759329930293,49.584775376368434,48.49558423663986,44.478712662732654,44.231237451611676,41.93891060086566,43.424802142416624,46.879353426819506,48.86511247547409,50.566947358453795,56.46949657606215,55.35524907223455,59.353655569485205,58.1183952963406,58.281539930755095,57.51115665672832,55.76508172107183,55.50007149735954,54.567150321928615,50.72733472942693,50.77722539504782,51.859230762725,54.5938316065769,52.93277738794603,57.454951643748906,54.442686458923546,56.97582164459811,54.43179106375156,53.80666274919465,49.44550327940323,49.9539596210628,45.933324166273266,49.7494651527268,48.17149928660366,51.17805458513633,51.257824488638605,50.99268386303396,51.16029096872042,49.437813773838386,50.59026024722631,46.180621636492354,48.78071468373382,46.210663650508465,43.00249450116766,44.79331901729343,40.32125299457044,39.62548060903288,37.38417758750001,35.4964098449658,35.79104179979718,33.360789827223776,35.87614102638888,33.320578010933744,37.23246234922278,38.676085616204865,35.346945908771836,34.43135851448329,30.26969135637099,30.725044950859946,31.48596283603798,31.839521806130836,34.30256795476565,35.810174167696225,38.13020360864071,42.34200015736654,39.66405112602439,44.13162936781207,43.1980736682469,46.09095864639677,40.427213168684474,37.58563898331584,33.65455287557192,32.09911888659475,29.81283808104194,33.03881697500683,30.856002969711607,34.850022172829284,36.78798843194909,36.39559278100982,40.106251807084234,41.18049179007393,38.474019056380165,40.26279369324223,41.08126300882015,40.128242276019364,42.73344658898988,43.45218722439721,48.154367964674684,48.42376897352471,48.92446521590656,48.97830574526955,46.09353062897884,46.471089442692836,45.80673077649507,44.68905291358498,41.64590079174526,43.866190020110096,39.41190294011438,44.08735738468683,41.93522062951837,37.000760170445915,39.39454732358959,37.785137756524,35.82672809843628,33.67176184968171,36.28723288567123,36.28549408076619,41.39381189829505,44.45719651004141,46.82091337926569,49.31542342874816,48.55607069665771,53.772181753613566,51.45909599786389,52.37760400098218,48.47477460341483,46.71636426693778,48.778836322698,49.450499454173816,46.35318197444226,48.72031020585876,47.30303813741583,50.00951701685898,44.11991322306673,47.17722029452895,47.13896859622357,45.83121152950215,44.497848251694236,43.05223130724748,44.037138109748675,44.08507927331599,40.335609706854314,42.70707414695145,40.617839755758794,41.9985526961813,44.201247788137756,44.89574437632993,41.0358866000921,39.89421620521441,43.594056311567826,41.13506564696848,35.695823155430446,39.66220837477715,43.703987312598855,37.93863654133709,37.12630342007186,40.675611173010594,39.89386353366999,35.3757219262886,37.23612273523218,35.54839925437688,41.43645634940314,37.70825206435693,40.25806805588948,44.011184517439986,47.634635491372286,51.04742881565643,52.556750748111014,54.3722296031594,53.374669793759914,55.96430602657206,54.08380866386575,56.81565693452599,54.57518701611508,49.128749703667296,52.25323728485337,53.36051708874102,48.671886356618344,47.389187946240284,49.65858898408177,47.33864939016674,43.59391644340765,43.55710341085681,42.623031544366675,46.82154151922749,49.92648882202897,50.374210746718816,53.46146982396781,56.71558888183101,54.661256571353434,50.22674384714591,52.6648996622778,54.17773253024952,49.50758538533207,47.803232448276056,50.744988463447854,49.4381406285777,45.67263976475654,49.51595473793757,50.66614461012923,46.73850768508884,46.421686003191816,49.94098845315003,48.08085033194561,50.943596847127466,50.10620467054598,52.597913087374636,50.48442102039788,45.28193890214616,48.08231216149519,48.136199935731895,44.8308342165363,43.12689586643394,47.468484284887616,44.94583934472009,39.92263836274995,41.538651164656585,44.492906693236044,39.99531973069992,37.241763320728026,34.471493053722405,34.96336487113242,32.03952902783284,34.13791826638452,30.44338624812044,33.36865100967621,31.663578568674872,27.586590493890107,28.91759062210337,29.400107243208367,31.158342532684657,35.23014424541553,33.79764337161103,37.45729956105485,34.98625700544919,36.11931598534611,41.398944475681915,43.672305678262056,43.85675706024157,38.90576560259156,39.68256507527225,42.542711587994276,39.01374113191455,35.874017665939185,39.52846766771179,41.732926885320275,43.97157270033223,44.72414105530277,45.251858868881214],[37.64311382206061,36.10060096779774,36.65402753335444,31.585833914326173,34.08435998416542,36.890113439371866,37.212206157517244,41.68221073795236,40.08140697144587,38.891134388208215,41.37138367029504,45.37152737069803,42.82498250738106,39.53203960018935,44.29565100109296,45.873989944087,42.00475078152536,44.362753409731475,42.849013504344065,46.10051539170337,47.09827649731917,50.389536980385266,48.51052571834708,46.60463054552721,45.08637417477898,42.36071270278383,42.676639196808736,41.116593536925095,44.53638233308359,46.9192375595013,49.61807344792308,51.40358890943173,55.091492539453974,57.00287105827971,54.38720058811276,50.89819308618062,51.331353306535675,48.21801115436486,46.68842852275439,51.11835068162479,46.705366584708834,47.79618381807204,51.66985465552917,49.30193792377759,48.570433678268955,45.47158675511791,48.304395497195046,50.84337116329529,46.79846227384157,49.334493167626576,53.798283090654806,55.51777906818813,57.829589331556065,53.58073144608871,59.457635764654675,60.34956267602816,56.07890067277888,57.80330209986657,62.09795053790506,59.699560686840016,56.75288408310839,59.08651101805693,58.609046153027386,57.8231971782386,54.97866766541345,53.391659826507144,49.521997922532364,48.85868209848898,44.69514144151811,44.88196042083257,42.38204987496462,43.65280323494078,47.301977921111856,48.90707031593091,51.04232125174469,56.72646555709507,55.67061602844369,59.86042064592016,58.64733763708377,58.67571038774408,58.26101934302166,56.42530507649322,56.629181861449126,55.56677306651712,51.598189454215756,51.76544522917825,52.50132006235778,55.60216946465393,53.58660430803982,58.32655446113843,55.215610650978554,57.62783690756836,55.35681406044314,55.06764032784613,50.89537356203799,51.48928775925653,47.64356531087014,51.6232253218365,50.33435670722118,53.71780704811986,53.35786917897972,53.460034308762246,53.17591334774844,51.78865977755038,52.682495103826525,48.53509854415619,51.26698051164656,48.69261384441644,45.79010079833289,47.558510487740676,43.2226653671158,42.06703225447931,39.938945230026164,37.60184296068403,37.604435212220366,34.819592141664174,36.901001602520786,33.91414337532005,37.36062443268471,39.36510202730341,36.15424237964017,35.719888838068805,31.58085538879182,32.5369580489938,33.84006886410533,34.07202102999377,37.198101801472525,38.31012344956929,40.703453984512294,44.59989415961557,41.994470409768724,46.376438632836575,45.00979113205193,47.98370725268787,42.18062974340214,39.45571251855335,35.75886994551741,33.830504748273064,31.28028303693303,34.17700730722315,31.246982520268908,34.76534527890054,37.01207210792587,37.08678840056848,40.73219954939428,42.20227673877815,39.726236556381004,41.95045564686719,43.12081416657535,42.53240514184511,45.464580595956406,46.3443311,51.17643200347917,51.69102420073894,51.83095270311287,51.67483864331386,48.54214158625469,48.98642178286999,47.893218676979835,46.87981427402092,43.373770892258236,45.182913821927414,40.44777896166231,44.97633641582538,42.73911276037156,37.61894687584926,40.23858321326402,38.283649421207016,36.81576695135455,34.739581917290295,37.601177930367676,37.584941297325656,42.65162330453465,45.80463461438853,48.22154942190707,51.00455092945744,50.19391067541888,55.409037763166964,52.772237581716425,53.871865026814405,49.69603694558832,48.488593532882305,50.27570474334509,50.693610200789735,47.48488054657189,49.397686802311696,47.79275221845386,50.143652730600095,44.23336462618955,47.24957048438989,47.35858663983538,46.41850031574658,45.371468653262845,44.28743723636346,45.554172967590944,45.87838496600229,42.45537453245176,45.14460620620415,43.43561162450542,44.930206200175164,47.428125246252804,48.2360336097974,44.32643498286812,43.3800730166323,47.26709974512079,44.889871365581975,39.49631835199665,43.606918451943265,47.75710531767107,42.076953064369846,41.38910610527677,45.0427647604595,44.2633592016779,39.832249237377575,41.80250766949298,39.97581480534332,45.93830818818878,41.93990177535699,44.39337439732727,48.25053618128175,51.67977413878079,55.253339365734156,56.52678714433805,58.27692563776757,57.080051821318705,59.51945731722024,57.50458558802774,60.053674263975395,57.9418811112768,52.44087805165374,55.32292522173227,56.34026463804359,51.73167957919827,50.30040184176646,52.265903490299436,50.04213835836414,46.49405585731925,46.02955905601725,45.58382398636985,49.599825105750234,52.83027009248967,53.62990040473596,56.65595094051421,60.13044021043735,57.92005451737249,53.52147831938466,56.29832192125059,57.7671423919013,53.0090539121793,51.53871762153993,54.652464152725884,53.37791330204836,49.68641257690166,53.6284606571453,54.88000744855269,51.01836102096693,50.75458021860173,54.28563134038278,52.32522360153173,55.026612072869895,53.96645207412381,56.412014812568316,54.52936743121315,49.242794957356864,51.7732241372315,51.9464140938574,48.747841090240385,46.73771887103853,50.98331149070387,48.66460583750647,43.61949537644855,44.86276585795961,47.839835200999666,43.550421032517235,40.61659928720042,38.13553487203628,38.51683481243897,35.88161465367206,38.30258260318182,34.60854119050559,37.450291111870726,35.834742187043375,31.754867434150157,32.773933494230356,33.02706115322802,34.50053399912289,38.66784557985902,37.0934148343516,40.48082461342992,37.972318896785836,39.60005558738321,44.76435252643272,47.27547749983184,47.28747120781328,42.37211095270612,43.54056405552524,46.38636347465917,42.56633205050192,39.81190346614058,43.67744277237391,45.97129310794501,48.22828588822212,48.96178625905285,49.46246201714178],[34.28177643070402,32.90716678503277,33.72817553409728,28.400662350908966,31.23035469246948,33.318426147664134,33.56842689988458,37.92905265491841,35.97097866586118,34.82686260815546,37.116473502728084,41.155731138209774,38.922078203780195,35.41074356334199,40.17392799759358,41.960731987892686,38.32670787017368,40.78785080795252,39.56902366011509,43.03145249861263,44.24557381380647,47.81140271090662,46.06428062284691,44.43175058703481,42.7763290588333,39.705447017633595,39.966855101922846,38.05025321196343,41.19904383738922,43.40091023697522,45.76982529657804,47.63881911905022,51.166466747990064,53.2285634663908,50.82030057674172,47.4858921757834,48.020675903913606,45.2864894194142,44.04430757155863,48.88031572828564,44.617018538570676,45.263995864893516,49.333534835845285,47.297290239282866,46.82887754016866,43.97885440207569,47.078681609389356,49.291516893311176,45.183231798042144,48.10436063816267,52.31363471865711,54.02787882068503,56.08161936769409,51.61281479569186,57.26328791327137,58.38701707289421,54.02868119709226,55.338863732615984,59.761254183863116,57.639022044463445,54.33636402047421,56.33439736037654,55.562202203105905,54.94925758316373,52.29805684076291,50.499996547223475,46.37140429408912,45.43647185838235,41.15958662076163,41.01185844709848,38.52115301153532,39.71338892589444,43.38464912238511,45.316338499536755,47.35571553505605,53.15941832525749,52.35267153660624,56.4154730156864,55.41810708271787,55.73572352257795,55.325993492704654,53.825601844448805,53.84115189682645,53.1554217323375,49.2489020404834,49.00781378017174,49.6695565115522,52.474153158895774,50.378602749455986,54.824895339365625,51.577800556448516,53.84072483066304,51.40298686412274,51.00806387961488,46.79636286882364,47.17562351122701,43.30890250063514,47.48009177471393,46.22061317757404,49.60610933776211,49.54449755179816,49.85472786131727,49.80021827508431,48.623392965811966,49.99125473555574,45.832324247342775,48.80426099595436,46.54417246517339,43.47996106541964,44.89418242297747,40.360222425912056,39.13486976391563,36.587702794820686,34.44790235597213,34.08351477229954,31.533221755858694,33.61200453476623,30.937621770149526,34.247413489164856,35.86610363652046,32.50698854123048,31.915559599735936,28.007948529816538,28.963904151982717,30.20397911202271,31.043048008203517,34.164910126096586,35.63431267227664,38.32235675282275,42.34968330575741,40.22536321618948,44.75673858923177,43.55302531930738,46.10071568342617,40.42070909185508,37.285824018581295,33.94966937057729,31.678930277935365,28.90075433303739,31.76553227556074,29.068041233454096,32.859603171985654,34.577454112669166,34.51848339318032,38.22697995489183,39.240530862122895,36.726241225194975,38.68168970900628,39.897859504906094,38.97734529226712,42.0009545344309,42.49418844780655,47.404388747675554,47.6073989225527,47.67796481218964,47.75687572225506,44.70439195508633,45.444308496875806,44.37178410740053,43.78586815529358,40.613819125021436,42.32319339261994,37.99407003076372,42.64504758610195,40.94422049467002,36.10409063574612,39.01277914463115,37.57450810198478,36.016772537567974,33.476862979396174,36.12603363117085,35.64928345770304,40.61359244696969,43.523363929341144,45.6513138399313,48.228607314846116,47.08053240713262,52.45321953934882,50.13775532541037,51.363543324497925,47.56712443326277,46.12973794059363,48.43642370323672,49.18601044360323,45.90142002096773,47.7536966088069,45.92395202761175,48.75341957288547,42.9800381416955,46.31360910434522,46.671100350843496,45.34740182048988,44.5196420050344,43.320127725078365,44.58394570562418,45.042465479874856,41.31956875335372,43.92936839314964,42.09382156507458,43.09365914823297,45.73567348515353,46.08482489787239,42.08869647227658,41.531103253302774,45.26302454874447,42.46988292472836,37.3809675861872,41.634498298405425,45.364573329372924,39.477515467073566,39.08517821100527,42.69200507926108,41.45968142899925,37.13497639062473,39.512073403395064,37.97559384868485,43.93188728235181,40.676806175627846,42.87155212302825,46.64528199446644,50.43199730563244,53.97923012182389,55.436836180440125,56.89301329621007,55.73398597459423,58.12940511248142,55.916050069784106,58.81911099613325,56.904265365408286,51.21358630811527,54.12743216130734,55.588464398264726,50.99038362732536,49.37444394373456,51.594352929873935,49.73454506452074,45.95898852753336,45.308954775388784,44.45376297775842,48.11219226166191,51.3931384352456,51.91252342260807,54.69573024422618,58.00227560106212,55.570233960538346,51.34330978123396,54.01252026565628,55.162819158401554,50.34872765406999,49.055128038318536,51.927555643526375,50.42308574532151,46.9062353405197,51.05155255689669,52.04079985386234,48.002626188233045,48.143353817557845,51.816048243857054,50.09606158376053,52.90027045917579,51.865286676198615,54.62370679258093,52.766481653297475,47.37013938781676,50.180721101040376,50.61957200918807,47.34300162707388,45.412314265222264,50.06163137681034,47.882492276327845,42.640425378975955,44.10386418645773,47.484721963914446,43.179317189249126,40.21549095326321,37.30808665325185,38.35741160366283,35.494160812356824,37.419041941229224,33.321163835939856,35.79529199481919,33.60321674618098,29.939147540949655,31.239289745730638,32.07278211602171,33.43955765480653,37.30788387167571,35.17593584582722,38.59160257376878,35.59466443549796,36.98173256002679,41.97922978511129,44.41594942832742,44.05886387062653,39.2654004791916,40.490082401304974,43.00894799564826,39.00256044581145,36.40462926810465,40.353148148240166,42.45283700670567,44.72733456407825,45.568789145624365,46.006694427023106],[30.90262060433298,29.249825350299194,29.753631708781757,24.631801817807478,27.29915451066186,29.998178095403762,30.49756584949393,35.00702624704141,33.5803670669848,32.72925568821515,35.38460168608741,39.22509515376411,36.90924592153028,33.85315041327863,38.82737258334187,40.34216804428794,36.69836153176099,39.522636825043016,38.67171949484496,41.77663459244095,43.31678122260346,46.73821787245505,45.3094250407094,43.58436296805295,41.57852237569084,38.61615540185324,38.383160327822125,36.36647573190387,39.501946809121186,41.47716567076098,44.49655642773867,45.804843685908985,49.56815361909254,51.82507462519463,49.146619252816606,45.89840485294676,45.96421504160471,43.3850427467494,41.94387819802675,46.59157714885114,42.5774739827448,43.700844042155744,47.745249914319515,45.67955866920393,45.5059687543113,42.54840713968089,45.66176599935069,47.641235126472374,43.2512191206353,45.91608447621574,50.23926707125778,51.69652142042726,53.91122625594969,49.43931970209405,55.1382986228582,56.534361967080386,52.35998339994628,53.657116155004985,58.16153868198221,56.2606392102408,53.12780885683965,55.323264948121086,54.56737729189613,54.342525123282165,51.47546996724098,49.40445173868849,45.712476408374805,44.56670392517846,40.65806440377061,40.423432747942186,38.21297721958196,39.874323658348416,43.195600043346026,45.14734357667807,46.711911920868715,52.630647441512636,51.39807530543428,55.38149866967283,54.082981428325276,54.22278684130235,53.40541204740232,51.662399483747336,51.38367031417899,50.47855053235761,46.643689183062776,46.66041030559545,47.760736503958015,50.48615996626448,48.873664378843884,53.425812640645134,50.47841551048557,53.10914048648824,50.58014678016346,49.945814438261884,45.58320611731757,46.21774984681445,42.198790829335586,45.89627291434765,44.33247834352733,47.421375384498354,47.31082702715308,47.096034681524166,47.136244305053566,45.495767270559874,46.62938967485731,42.29617503402957,45.00747244369965,42.530635204299664,39.40521484892392,41.08419100459851,36.626164622537765,35.72310101432454,33.48962408489918,31.473220312498785,31.743513776439812,29.261961371510388,31.79415728598566,29.258161224733225,33.30560216419361,34.698614190301576,31.399865646622164,30.460112497437603,26.227666437226684,26.684131776685454,27.546083666618877,27.84760058872443,30.56460371437572,31.965890341206354,34.39798159371809,38.53212851840782,36.057578855035324,40.56301164290604,39.53848134873107,42.2874354469421,36.62126090038019,33.67037826560771,29.930110608231264,28.145370257735316,25.755764652753697,28.952469668624268,26.828232024690795,30.91333688684252,32.756932237272395,32.30161762110971,36.017230256423744,37.06345648781344,34.3552433300816,36.1787813864767,37.050258488524726,36.20027904429416,38.91399213363304,39.7447588926925,44.496167534299346,44.98284113765302,45.315760167754846,45.20998352823273,42.22682623362191,42.58078762119628,41.80460420839559,40.7016227742064,37.58494420816911,39.75231319287144,35.31786135347634,40.006439276984324,37.95892074760565,33.09533815540392,35.609491270058186,34.181408000251864,32.25697968115035,29.90326966546462,32.47981139982871,32.31928361999694,37.39770985488501,40.41904618620368,42.7415142309208,45.252899669917284,44.46725650388326,49.69030126797635,47.36552911434207,48.32340479134912,44.45664047006879,42.74007287153491,44.8899444981751,45.6264211202975,42.47970187212651,44.778766690185535,43.301510417188126,46.132850693403086,40.28917978500645,43.447880577649386,43.51485345592899,42.07845529871113,40.88103070383113,39.4573144192305,40.520627579211336,40.7410036930623,36.95316066913644,39.43724237979077,37.49079752762198,38.67677141374938,41.15757423541279,41.70587240799945,37.76628377804516,36.960910719078115,40.747605159822015,38.16464111015631,32.899696938063876,37.1009859992272,41.05352386993769,35.295913260507966,34.772243333911135,38.450051100812985,37.492089430551005,33.144236284008244,35.381047769916094,33.62094640297498,39.637788595627995,36.05467006762555,38.23923652457193,42.08043570343744,45.72485794930242,49.3619387930295,50.68870919129121,52.17826685968519,50.98596015545904,53.39721248051801,51.26631453548189,54.07844148912828,52.087642937320354,46.45208326810174,49.40662186140153,50.76219890224151,46.14515021758342,44.607484165304484,46.85281812205075,44.882365859943945,41.096461110756294,40.62382078283848,39.72875082739585,43.59598346243737,46.81221129107895,47.34694806994922,50.268917433730564,53.608518192966244,51.345959822505094,47.00104805300037,49.65904963000334,51.01466342955552,46.25210453429711,44.80010321885315,47.8218461841249,46.48282434875502,42.83589999464478,46.86327174125448,48.0478868440239,44.16162447848194,44.0353067905322,47.63355481616664,45.75105025743697,48.467778065877184,47.39816041201376,50.022623608631505,48.18306942758031,42.80606787952114,45.503107283510886,45.87081143542002,42.62654717287675,40.646239215382586,45.20891274543577,43.033397655433774,37.80374034239027,39.2221250802044,42.56811696014221,38.291745916180616,35.3029696172877,32.44795480440973,33.49658642325285,30.71499337824987,32.76811434474472,28.658719702151007,31.169492432533623,29.22037902408038,25.387449114334526,26.52605917098291,27.215382938543513,28.603162188937517,32.54955867562468,30.663775502983164,34.158199744423385,31.456051687179496,32.839665508860186,37.99827856269085,40.43333886099877,40.42636893818023,35.5074961585827,36.61993724975758,39.43399595423088,35.657541374663694,32.85541731167718,36.749471425103025,39.09480074972415,41.37670043184392,42.146199500081,42.6920643753539],[35.804390922370786,33.85168171282396,33.76654098213011,28.617878788673856,30.374037882831452,33.666377311099765,33.67979293811885,38.15772590497094,36.852276520004885,35.41479664564163,38.0949613835684,42.0451017506374,39.06517486438374,36.05811886634267,40.80354413988924,42.10483335135666,38.030174376685366,40.37508639711143,38.81166614509504,41.79445580393237,42.82415980917015,45.93872824644215,44.17501988632792,42.15207524530882,40.50549485609789,37.94815050228158,38.09984505340197,36.69803444042852,40.269412110963096,42.74298038350483,45.82828919105701,47.436334562343376,51.29061634745674,53.08759545501039,50.25296201887338,46.68036182100194,46.962003124724546,43.647514052393596,41.94243428387475,46.167749786252784,41.768373554088264,43.14167721412715,46.93305144509428,44.467585656341654,43.800949376981464,40.62520180662597,43.43744607059428,45.91371294616765,41.78687953806643,44.20474953811346,48.72456813434751,50.37653833615534,52.764745596745385,48.570690592583254,54.511889949425154,55.41559954678854,51.230683128413375,53.067877120859634,57.344490940739675,54.96233627504275,52.18245106842737,54.715051273357325,54.369551061864584,53.702315267810036,50.675958864473884,49.047899574282404,45.50722911960054,44.8960809553111,40.98975855318722,41.37385449865885,39.01504551276663,40.61631647259241,44.02467009619572,45.40367026267438,47.34794561917137,52.99482611444665,51.59297214564666,55.81690020463709,54.367162815873826,54.18622639561564,53.6621394852274,51.62410457483922,51.886518544698944,50.63354208831825,46.65166370308911,47.02665753667194,47.866367045416496,51.107270822889916,49.25235538790077,54.19681099938782,51.287944910351655,53.950526581715096,51.784927826107925,51.5165605726077,47.36383202632677,48.26830133874347,44.441830471583216,48.09420154188143,46.79217325626672,50.24367322551653,49.455353628547215,49.46820244564243,48.88821872839877,47.46800598075746,48.04416839873461,44.02129687713054,46.73181443016437,44.10932998067375,41.43662060108842,43.25827652841971,39.102040356296826,37.72558443246328,35.89794753995475,33.288059113265305,33.50004378713389,30.52365206408541,32.62385419754828,29.486431807566156,33.234242832448956,35.380917155724056,32.320055518488914,31.939689374054204,27.58764190709646,28.53661829378433,30.003120079533687,29.7656615480602,33.199532623863306,33.92295105178806,36.25595605969799,39.93527252717479,37.32730588413425,41.64127068565822,40.067028553182,43.087815253020345,37.24035486524472,34.64039006812377,31.009015929361503,29.0009851801723,26.479838199806114,29.328082595841778,26.348162609716717,29.829936440341385,32.27315945382944,32.32353872543284,35.9256638966098,37.62984529088605,35.179202637102215,37.596442484347946,38.78903945709788,38.550898068779844,41.53686167347654,42.80333958503221,47.6073588858614,48.601674268088935,48.57679593841003,48.06133949683823,44.77565242978816,44.98989792053651,43.75703748092063,42.491331955376424,38.70955989634547,40.5178245394705,35.58112798458029,40.03876625470514,37.61364319394371,32.43251310894229,35.0226474201858,33.01502991023153,31.639187588486607,29.583814489876023,32.510517647629186,32.56836962204549,37.63474976336024,40.866567272622945,43.39862325172764,46.307589008953244,45.68446830490761,50.786067804755646,47.957929357741214,49.01540184042913,44.68098294422846,43.6540984727603,45.24214101981086,45.55720149541336,42.34031815193568,44.22032026950383,42.69043900081276,44.9442172163965,39.01533762889092,41.976577145839556,42.06864613000109,41.15738086652046,40.150922994832364,39.15421393292182,40.51972417611457,40.99314262386168,37.7068803520953,40.578393303184875,39.14768252406114,40.66489357967762,43.43153041031583,44.310017582552796,40.3791597724987,39.65828226324728,43.72124562532819,41.448607666431855,36.160677262025935,40.455741570205774,44.701537369006054,39.20992008189271,38.73396428385828,42.55185138638105,41.818416017086314,37.592887980663164,39.79746879235544,37.719157980915874,43.806389784301004,39.59942133934746,41.695600619571934,45.69332116105733,48.92754496277048,52.8049586108267,53.72051155958818,55.188021570731294,53.7115992993029,55.923885111653874,53.6929651333999,56.14198735491932,54.264647948633296,48.63739326838435,51.260390307981446,52.36109664535614,47.86296192087295,46.19763035670482,47.97795694179981,46.035500924028,42.57442276847469,41.62774693333871,41.470856125612954,45.2258678921031,48.557488849126536,49.6294448310325,52.56092043229277,56.22903336243947,53.88291311016432,49.52672080604271,52.64435405606575,54.082913333497366,49.26702381800146,48.03764027506262,51.382115421349525,50.211817516509186,46.59938967924595,50.6382240337177,52.085155878855275,48.41234057144085,48.160781186307744,51.692195085715866,49.57100119017863,51.998922657032,50.61761647127308,53.04636348667225,51.52845935393202,46.10233067842651,48.314192389645186,48.7578318780206,45.70395257092225,43.28832409339039,47.579055546871324,45.66280877557256,40.47727108888645,41.32127835365942,44.58747586937206,40.62810944176973,37.409973855943065,35.07725977741514,35.83111230801619,33.53144781808601,36.16025810464552,32.177691410515855,34.65460619481185,33.08761617845256,29.137975281257173,29.71325079115055,29.882605070520448,30.904270168768686,35.03676273539472,33.21100829074471,36.318097966291724,33.83070948471844,35.9270161398283,40.97352716572806,43.72084325395331,43.7063129388213,38.810071929192375,40.37602376236938,43.33426227602408,39.34400536638477,36.97256213511098,41.05539666500685,43.63487974225186,45.92055517668422,46.60508767696092,47.16558987947735],[36.65384264105582,34.83820414019284,34.89683084270258,29.386780729257982,31.162047306940725,33.75273959234551,33.370198164880684,37.668719856448114,35.837268714117236,34.029397743791854,36.37365857012777,40.506261278024894,37.54194266470606,34.13389901734881,38.66899197241539,40.19426724142894,36.13814274926993,38.171535998225224,36.35652200427775,39.672540484342605,40.49610468839453,43.80963574221296,41.843248486138265,39.99370847187087,38.57432246960319,35.81064344924267,36.35741839913247,34.94836153225421,38.47205867295794,41.12374183383139,43.604533789934614,45.71310033706616,49.34626071194113,50.96993634098405,48.39123312858861,44.76641552171662,45.48579349368027,42.112910750176724,40.67036197298381,45.19811325544488,40.63811948599107,41.432808299896024,45.31143811860671,43.00196089487643,42.203831950372475,39.238736760366706,42.165336712025315,44.6727849333311,40.77110697406988,43.59415390826112,47.878355593347706,49.752581664434274,51.877998412285706,47.598397804222095,53.40189452725235,54.15820784868605,49.78374376211384,51.4758587369324,55.72627938123211,53.26676451346691,50.21528028922961,52.479064686325785,52.03740149705131,51.11956925348551,48.3158758643284,46.83844651830235,42.89232252201607,42.388085058317735,38.183623464140624,38.60237532479821,36.037912529406675,37.30602247719065,40.95237138042025,42.34496869862322,44.626064715666004,50.19905066432491,49.16789047011368,53.42963714931684,52.26676783242158,52.303957276211534,52.133453414713514,50.41033406637039,50.89334910084373,49.96333921730097,45.937706388329815,45.94196179481857,46.360032237950215,49.596631126917885,47.302273158981436,52.101112995570546,48.92816250992399,51.28287632000187,49.18130397784058,49.10906841365015,45.09375700832394,45.809244005595204,42.12766462083269,46.16395952453603,45.159666200992504,48.92883778354207,48.12617735868857,48.698101211565074,48.0052798807295,47.116043842604576,48.01746296750311,44.20685887338543,47.28036544306667,45.005366626919695,42.396254201715564,43.80875687979547,39.5515408783332,37.74654996728599,35.53797124575465,32.79331767776047,32.308882798558656,29.294862176764816,30.96035839863476,27.773312607564172,30.855321170307825,33.11304466413197,29.993829218002485,29.908378731501795,25.878475293935168,27.305791489033037,29.174273313272145,29.547070352399622,33.48546171720166,34.30005958025619,37.00407124485961,40.56397787696189,38.55000505186648,42.935898703257166,41.20548662825955,43.81300961311856,38.01563429974238,35.06952585556261,32.057699329894305,29.37244162178364,26.370862112318918,28.8506816947348,25.421270581411576,28.728070894182338,30.840388009517106,31.206066172025622,34.81069401675974,36.34959465444865,34.08092118438539,36.57630730722487,38.13227528841067,37.81834858799528,41.16618108309139,42.10602072770073,47.08706786562497,47.89325248664269,47.51335452193583,47.11284644152222,43.72667544656477,44.34354221481654,42.77559371847347,42.10107307260899,38.32012130922808,39.63322683343235,34.927903275891424,39.377010702202355,37.508561372411386,32.50343105774268,35.620588851286286,33.896622081608186,32.869549298055816,30.3811765398558,33.26106224006986,32.78051146551978,37.665369004874876,40.68480806968622,42.922099583366034,45.84242921080901,44.78174206186371,50.05644105093747,47.317079423094505,48.68060493409819,44.54807360476222,43.74534939865096,45.67585014044315,46.139673807763074,42.75396880859172,44.14697256637674,42.183807977525404,44.64388715353592,38.872101273470705,42.149480469931326,42.661378454326446,41.661935994085354,41.15997590716997,40.35364039707333,41.939662734079135,42.7689521961495,39.43780523855595,42.44106315987559,41.14873828336575,42.23033275757127,45.32351848500787,45.804179952224175,41.766365686899434,41.563271309520545,45.56468785765044,42.924905229439894,37.98708751948239,42.480486761516396,46.35547416710897,40.7089997907528,40.5814564981144,44.38677677496885,43.203094780471496,39.123266573523225,41.75106652076419,39.90946078542014,46.00668909768719,42.378514750635915,44.21732327407548,48.17179318901746,51.64679168372309,55.55139096834623,56.54172788249794,57.716897558055464,56.18084746549224,58.26907078945264,55.77541079298724,58.45225621339415,56.83878654181642,51.016251663068935,53.51854234554416,54.982627526219666,50.55423491638789,48.633055397287194,50.458163799530304,48.92331908796403,45.38661631472174,44.0032452423412,43.76132134623293,47.025212687540844,50.48007663033008,51.49525960620294,54.13322115575236,57.7619723494847,55.090356186246616,50.947554867054365,54.15886423983752,55.23719456291533,50.3172003769122,49.419095540328655,52.604680113735846,51.21255184183112,47.83256088484647,52.12341773063006,53.3481466765498,49.52614995307416,49.71667569793927,53.38943157366789,51.465285168349546,53.916686311258786,52.45026427481844,55.15575220082078,53.77727990803074,48.217679561200484,50.55586675738918,51.3060356632091,48.23624753069821,45.75375613475218,50.35324963052865,48.65792824546124,43.305649583959315,44.16529878144123,47.78267652286422,43.90980408853632,40.60213840547964,38.038287258352526,39.28683053730208,36.904544455274255,39.225270209978774,34.927087510558934,37.05146435203493,34.98100250406342,31.430319736208446,32.14517298967568,32.73880546633994,33.530186965410834,37.41151148367881,34.965465291900195,37.911739345679074,34.897401673616706,37.05371659166722,41.82632847847873,44.63827056831723,44.10874006901686,39.38791614430582,41.2521090759181,43.836143033592336,39.46775612719531,37.516819049693844,41.79050677328547,44.182397504539345,46.492989283791545,47.279100629920876,47.73930146317431],[32.09664237378614,30.167368545647935,30.100559096305282,24.519645135910007,26.270121828657818,28.793689441444418,28.444183755004666,32.780016676195274,31.070146400800933,29.440331542787845,31.943663288627977,35.986147055197044,33.12600120136771,29.8860516561424,34.61351112715189,36.07925792800783,32.14603111455041,34.558380535538596,33.25717136918107,36.4613845434106,37.729046809658044,41.15125290609336,39.548887994967906,37.833960042028465,36.002582692173,33.039527996783264,33.13370542310252,31.353826943651313,34.6912674702549,37.05552000722025,39.822699344219316,41.5692629966189,45.290009925411866,47.174384080683836,44.52170871600126,41.0575266954808,41.490805043554644,38.49896615206778,37.10969754272416,41.824763681378506,37.558232031040966,38.39511605938988,42.42331255263939,40.342023487720915,39.99609709330424,37.13465432857714,40.29258199172129,42.34865752712248,38.15687312747441,41.08333317445742,45.271564522883935,46.937084867290245,49.00138381368087,44.5337914082311,50.222575685107586,51.37380954056366,47.06704024866788,48.43528432062461,52.861790786321045,50.78753189134773,47.59096871990334,49.76371872238296,49.109012006168555,48.637664097978885,45.79897323187079,43.928702289985154,40.12937404464841,39.23914553491292,35.2324939822578,35.32996549460061,32.99001177213348,34.60594766133231,37.99130087923585,39.65275360000135,41.4752773928798,47.253919305352895,46.057798437003285,50.17603463200197,48.928293027587344,49.04056046501372,48.54961500718251,46.881393668156264,46.99935541120503,46.17946133467245,42.23805917758231,42.13192870562343,42.837611115574575,45.80651404326907,43.823073388677706,48.51044625996353,45.46284463760022,48.01304572996709,45.71006575093538,45.37272982895,41.19440537744687,41.96937975108404,38.13920727991321,41.96030066298014,40.748737599042435,44.332080966798905,43.67063289177356,44.01903976593711,43.53369739505752,42.46837173312492,43.53559166430745,39.59298321860034,42.67824415690371,40.482774523676284,37.733604536426455,39.06223657979924,34.7190181553716,33.03187310777706,30.74026792603099,28.167443499500468,27.860574988777977,25.020320820057826,27.04929390910511,24.174835756032394,27.806569708597273,29.5937469592542,26.381842361209163,25.900236710751535,21.720457476632948,22.805969987397443,24.42327214154674,24.84182828140714,28.605621673526265,29.590997653619333,32.360558883789835,36.07382737149978,34.19158299125669,38.67237157205413,37.163946665945325,39.59459972683022,33.87755794890277,30.73624362030414,27.73755559542962,25.06599673672511,22.111167120601415,24.825895320206186,21.98283000789607,25.797240768778657,27.597406071886287,27.53798667211555,31.230142088530762,32.45624777174188,29.992124237713234,32.221139297678846,33.583362590923215,33.10621860594823,36.34071846000906,37.2763592967756,42.22362021968159,43.05456011242377,42.781848740045724,42.38337504537591,39.07183808278691,39.61882721640097,38.24948179668901,37.50500044318284,33.96756858977681,35.543510400067454,31.02961162399588,35.63175324410705,33.9065873036703,29.07799769329113,32.152315556306846,30.84184942318874,29.483808685032564,26.745083029053042,29.42042477556428,28.794390358819488,33.70971763550047,36.64239112646871,38.8169216607606,41.5563053603867,40.51012742401726,45.81334128154628,43.2866361628356,44.55396925070778,40.63343741355645,39.4625658040536,41.67159855018552,42.37533937324215,39.020453226898454,40.699849037743355,38.82372210584468,41.669356477485124,35.93021098195395,39.331065510578306,39.81632952607844,38.431659027112744,37.83053425102149,36.77839220019498,38.231404179333,39.01376890263738,35.42483534314823,38.304694163335995,36.882137889102445,37.714163199453516,40.84293756860261,41.12246437846282,37.05739727513084,37.02128135329133,40.95687001851779,38.16815725646798,33.38275241387794,37.95521982570593,41.66200964739623,36.00125906483339,36.04436413905081,39.86100246303547,38.53627159330032,34.58160157992198,37.42972226224562,35.6350070455811,41.73137132268344,38.42343907415983,40.009175974757504,43.93849038880614,47.53112955562317,51.48803966153307,52.485821690056994,53.44061709838299,51.88436721626952,53.923252071821345,51.32632653181563,54.18130051460505,52.68336715964809,46.76496220880837,49.28306682975282,51.00358850280107,46.59260428300978,44.56977684220975,46.576091292291665,45.26314015896493,41.57654201204833,40.124659381136915,39.58947326951924,42.68769690288041,46.145225771160966,46.99482572359442,49.53278720105615,53.08104607676059,50.346363747192996,46.25648784655442,49.419317800913724,50.39673181790074,45.46448035415309,44.62494368030485,47.756614382603644,46.32107444610288,43.00200727489887,47.365997641008526,48.55073291205802,44.7345331919095,45.04621520752253,48.75740115996855,46.887729302277805,49.314167316238766,47.80902376446422,50.64330663585717,49.33944784295198,43.71916691852099,46.13689423974363,47.05929845969858,43.98688706504803,41.490736378008535,46.30735891196682,44.766707329832975,39.301857201098684,40.23324408866927,44.12705191787309,40.324022368929754,36.9716435613924,34.18271577619318,35.930649142019796,33.51658555142952,35.57226139286013,31.001407297296716,32.79933766449217,30.48373465523307,27.20805084513603,27.932934607083713,28.840971559450416,29.47722197425449,33.148806543928025,30.4039288001231,33.36450180312628,30.164468489314903,32.22217119102142,36.94935114022101,39.74324612949221,39.15804502282295,34.44743173026486,36.352143708815404,38.89751889919804,34.5045107331339,32.61838238337299,36.94881070117126,39.39095018566245,41.722252320984026,42.539082732343886,43.026450619234915],[32.93103104226678,30.637984591196368,29.98091176701923,24.743099180376237,25.79580990311291,29.36139817124864,29.062330824713644,33.50205058284479,32.44346218792381,30.83660583262064,33.68605736472422,37.54362268443062,34.26753183799284,31.55531930534375,36.29891848893869,37.360564656999365,33.19386015335583,35.64358149168125,34.24793122701668,36.984081084554134,38.215252043038696,41.25534283458467,39.73574303352072,37.71162038579682,35.79860515014921,33.267462179414814,33.119332562130374,31.68469562370496,35.2794318981096,37.713276631277544,41.152242036816816,42.51349903309229,46.497875183749024,48.288564580600436,45.28825711462612,41.72426133456792,41.810734778425925,38.50369085951657,36.716596054742105,40.90410823955701,36.632420971926756,38.17646634189673,41.98020961355456,39.572331763051,39.16448421590542,36.01828497591043,38.946615775000375,41.142966331106095,36.8448407181448,39.277008134559615,43.759587079334935,45.289225101176214,47.671932518645136,43.408715834800674,49.326660502680895,50.408895418809564,46.294460766258894,48.04076851912437,52.38163035896805,50.18872863245923,47.43079062443557,50.0311754551967,49.675203840580735,49.276423078222294,46.132080717326744,44.31098092612491,41.06027518054732,40.33113191824376,36.70871980692577,37.11341654936938,34.963855521340165,36.92783757834309,40.0274288148994,41.34021901376324,42.957976094135816,48.632585779864954,46.93763325202356,51.11556350523668,49.484013228276545,49.20448682847853,48.49490625341669,46.36969489488272,46.54165639539437,45.23753177275658,41.27488216079687,41.71155875499225,42.70905779083268,45.933657955399205,44.29414120268727,49.31885367696978,46.60042317669445,49.497771261453245,47.34349173316864,47.00092501254109,42.83247562046786,43.98446133352498,40.154667667767455,43.47327118964999,42.11669457724287,45.56938577398269,44.49483628912764,44.416431118479025,43.669802469558896,42.22525019280406,42.66304313181796,38.71933554499843,41.47569591762178,38.90875276157333,36.37809081395143,38.13582342773292,34.087541102924455,32.509311881209136,30.86183231693757,28.079164982843576,28.467431100342072,25.41059088268557,27.624337149342875,24.50781352096439,28.66846674724822,30.720311763311678,27.772890685341565,27.30458917659549,22.78403914943911,23.617589125045026,25.157843906195712,24.582651722008734,28.275613010904216,28.733451476817528,31.097600182038327,34.63546052587045,32.18911665014549,36.505822682802204,34.83075340875861,37.737920713805394,31.890022929399322,29.24754169442688,25.779644616526063,23.59056928844,21.050371129216096,23.912314227852345,21.109019761778242,24.77880044431863,27.20003869775379,27.067750832727825,30.666784032091112,32.40297351080431,29.916298443335315,32.38499351355392,33.55564377859698,33.5406731600577,36.55943885094244,38.09987776015528,42.86663348946737,44.234003482666836,44.06936972716659,43.27794735148946,39.89903560628808,39.94549826179206,38.64012065392569,37.21620698291819,33.31506007035403,35.170438209429015,30.184265898876077,34.65220532598714,32.218477489371764,27.08545974466636,29.72544558652147,27.92717315283079,26.51899646479576,24.26551247278074,27.154852737593124,27.12050528575194,32.184038085329156,35.412628127562684,37.967367611961876,40.89917929726611,40.37509424668046,45.41592004717016,42.54408746606529,43.57059847817748,39.23350419764291,38.21918389319266,39.830565326251985,40.20262725121158,36.95963981602573,38.8740602206088,37.377276396683826,39.777929793247395,33.860079983593536,36.905595192260044,37.04379534557264,35.94211774407084,35.0091269078575,33.99548178292703,35.42225399508369,36.06830514024956,32.75870191034015,35.75408400843809,34.52552812484152,35.8593221993135,38.92535922466273,39.69337078512667,35.72366799933267,35.368127318398194,39.52086318344989,37.21030721744837,32.174136631178804,36.66987297359209,40.82589145850641,35.491252201400265,35.3326113064697,39.257362239148016,38.42404374851297,34.486541127983436,37.02992944863242,34.834058269885674,40.971228375719726,36.891039619975906,38.514534464673275,42.57939624490477,45.74517680865473,49.87406201985359,50.52820769118191,51.60598190115603,49.890115134559984,51.87018923100378,49.37227177054454,51.86634350924761,50.284912021421356,44.48154892734855,46.875703823249715,48.23971813783604,43.85772697658791,41.903379279467316,43.62904184475242,42.112381626342426,38.6414722960464,37.17117328206478,37.09638005225243,40.452684451520895,43.89123398888204,45.09576909620223,47.84256940103974,51.6172412312168,49.07684805897242,44.824792928314324,48.20801746928256,49.507581281006814,44.63160883735785,43.68810078255111,47.155715197695294,46.01600398081164,42.55233644241491,46.72766204872759,48.267724199812676,44.73938284309391,44.63173244315199,48.18790615140325,46.010624042894435,48.20338459242957,46.53599797041342,49.05710034395601,47.895194489649256,42.32548983122073,44.332307458288845,45.13273613167627,42.203639080585866,39.44949083143718,43.92612241870724,42.46031847441107,37.10090058072969,37.651167163297615,41.34715141245772,37.72547897536668,34.255353847136796,31.90397083782028,33.30094166301065,31.265854044939818,33.83884082977918,29.479886459727094,31.406298512879175,29.690427446872924,26.101860253656117,26.31664249873959,26.644633688609503,27.142191323470676,31.06745575844239,28.773502751611524,31.599832453799557,28.95928148419017,31.425542402420025,36.28130611844911,39.22010320821124,39.07299361833715,34.25017356255255,36.20959404375758,39.16462917434481,34.98987824543768,33.056587503474184,37.338411849945444,40.11796413139395,42.42915885196824,43.105525342732506,43.70780303885532],[37.03616331618936,34.709749110186706,33.864392657710866,28.4874241739495,29.04406304946192,32.45401625510666,31.627434619019205,35.86818460324912,34.567441126637206,32.368827223030486,34.9829012864425,38.98557473564541,35.30129685223862,32.40486815545486,36.79579751463585,37.83355579129342,33.407957103199365,35.271796436260615,33.17807234130938,36.00542862228156,36.6967701725793,39.60573985505617,37.698191746226065,35.545715696049015,34.07302781784567,31.753029055715842,32.171222333859156,31.237397320399772,35.103641538962805,38.00396121519919,41.08155246137504,42.96476532971738,46.848022787467116,48.186029615847374,45.24866185484301,41.432969068045736,41.958636969945324,38.08043675738594,36.27199802076566,40.29846028155229,35.63833292468196,36.996896814042245,40.64043628142238,38.02281516945808,37.13413464825328,33.95280145995455,36.70721388580802,39.32228242632955,35.39509168807903,37.89181617143002,42.36338743771621,44.18758453802755,46.528403494975045,42.43935745076742,48.43428762808182,49.038574150815805,44.803985446162,46.87258727862538,51.00965380174561,48.39991577171795,45.75199509862419,48.43955625318174,48.33948417498046,47.44938347865272,44.325251910953405,42.94810167004512,39.579483726337244,39.333635713864666,35.55667188428331,36.45430743597702,34.08782491964275,35.79656474288741,39.074484140213976,39.951213729756375,42.04851731192106,47.44488020878985,45.85379887815427,50.219801366264456,48.65843455244143,48.27312320109351,48.01206002010445,45.874251638655814,46.59747210780033,45.246630074995046,41.170209698954416,41.63623637849041,42.15530925253988,45.75043640590858,43.65862688000395,48.86144664353924,46.022123764834745,48.74060778634082,46.90472297116262,46.951558539247024,43.04711372235517,44.267169153072324,40.69201435237653,44.19051166401029,43.2126554763001,47.084464079767294,45.54408109816105,45.97656897397769,44.73147289922397,43.79351792784523,44.040202390786405,40.4942834182447,43.4507085288649,41.03262055956179,38.88442305832207,40.45871149993576,36.60187019439824,34.45525095625716,32.8655507946902,29.634951316987163,29.516639386910832,26.128013751540323,27.680355033162122,24.101843050709714,27.529414366871606,30.22979395144177,27.472965963226148,27.62735036321616,23.32032040235141,24.813524363863372,27.001537168125672,26.47189745998415,30.888021529887887,30.946466324846035,33.43588173584355,36.522044851071676,34.403133335853326,38.56284450714534,36.41323644894676,39.21082789899869,33.34479824391714,30.779710582482828,27.880851975843846,25.130812138603893,22.233369043122103,24.48192091784474,20.708162978368385,23.668942929080572,26.349014175662553,26.849882881661507,30.311086280220422,32.438388912765504,30.304747157176024,33.23641826933114,34.86100331689279,35.225306216523926,38.62023828634459,40.2227750877109,45.08950967377901,46.651038167762046,46.04045813552666,45.059294683660696,41.44403391043668,41.6504982486592,39.827483530277505,38.684536677532755,34.35117055750478,35.587115700983716,30.4289446539422,34.656599557487645,32.32649950599789,27.128733745300234,30.159360486437073,28.11675237229349,27.42947967525142,25.163565862664136,28.232430756020516,27.99850010956677,32.84317490002294,36.05029770991578,38.541778488792474,41.7493490693371,41.0661172734666,46.088862329336095,42.92270673666563,44.214551310748654,39.69450893739948,39.355385643207015,40.7569977043442,40.905783164820946,37.529004621404596,38.772884896742404,36.95460192598195,39.02086697203132,33.176189027818126,36.25890513364622,36.70542568742827,35.97142773867131,35.544193049102134,35.004522069750585,36.788212493289755,37.84550771762267,34.92216661671818,38.22495900455572,37.44971406984274,38.718304330127275,42.12445715758518,42.85797661029268,38.87922535433039,38.88342603638414,43.11734491846334,40.805849457601916,36.01628337125508,40.61682831935987,44.6941612436396,39.46638862273589,39.518920786985895,43.47554278162324,42.52218356417124,38.74718838642985,41.46901548813862,39.25795689711244,45.39190795519518,41.30812326083544,42.75463635818162,46.84957394071652,49.891530506580004,54.14052854480501,54.59876380540364,55.504401326491845,53.59640483148687,55.37049677164712,52.67694673368815,55.05086666019967,53.70510650541879,47.84692533500555,49.93402979424136,51.330429792008395,47.10694179362664,44.94281500500044,46.366935526858484,45.12140946792018,41.86083669061617,39.8407643398336,40.20985596424043,43.155675984174884,46.70772459755794,48.21902642537064,50.77361727816041,54.709574070194904,51.93857392084374,47.84331993223286,51.54419301720259,52.67374048820308,47.741136117058744,47.13817363358622,50.679890036847155,49.51896389758586,46.23461376384144,50.52996176933702,52.08367375247775,48.60881033184832,48.679229241620945,52.25604926223441,50.06734589391381,52.096720248986415,50.21070783333475,52.75080245128519,51.86323599141622,46.23484282958675,48.00884647542149,49.01453527303744,46.210753985455014,43.194232380822505,47.62958769303039,46.4438602814311,41.07928240337237,41.29200554354062,45.08137161463353,41.72513481273886,38.121608947815446,35.98634018114332,37.424863516510115,35.625011946569764,38.323736341642466,33.94027489713223,35.67167236141293,33.91375177829406,30.50990825104904,30.525975763523775,30.78296202664624,30.957456086071335,34.78399113003145,32.22007533361921,34.65600621663627,31.881611829419892,34.778927720616515,39.33335616293214,42.46805003346255,42.008263999390394,37.36172005840763,39.738370905863896,42.52594883136232,38.04348250239512,36.62070561400166,41.072739454050485,43.845910389543974,46.15493104973348,46.83220315384216,47.371387896289036],[36.43171690654417,34.03317773354689,32.985937690816684,27.504386522569757,27.68284314531972,30.86997092420031,29.684843604243547,33.77039553228534,32.373024123113325,29.88821566518904,32.41823911945353,36.438464038266055,32.57458303353344,29.66879563962068,33.92108181414031,34.913066530819606,30.422331626243942,32.15207776067581,29.974174401136054,32.819489439293854,33.49484140243518,36.45026213389641,34.56108388213043,32.47010201503956,30.966548843360847,28.572149620526886,29.04685799309764,28.138263839802345,32.02949654650905,35.02940551715218,38.01698097026416,40.01579610842833,43.86750635072572,45.09628404220356,42.17925242510232,38.32374116244905,38.965091257518864,35.016606367653544,33.27615391136908,37.41317306886203,32.71671645032827,33.893740720996945,37.58314456677216,35.04955171468852,34.2173290731496,31.13986833481099,34.016938987941735,36.51441582201591,32.60636982628158,35.31863119952235,39.65891869426123,41.53431028454517,43.7474475906604,39.58815906622023,45.51814740711593,46.12973497703631,41.83627368343677,43.81231789830319,47.968868718263344,45.403786770291866,42.647420652041205,45.2673558022408,45.134855328850364,44.25636381439061,41.15416732909453,39.75753290075018,36.360612087212665,36.130818830731826,32.370506926347694,33.34458764594256,30.993112324536252,32.76238040930425,35.973317997747415,36.77942912425384,38.869861989909005,44.239139324225974,42.642453329291264,47.018669478467544,45.48045870758049,45.12697026569303,44.94585482520796,42.89517109529443,43.701521965730954,42.463410123624335,38.37349679794088,38.70842810620651,39.09253642474444,42.70652062128274,40.509042611913756,45.71336683498564,42.85687202532006,45.56888632465386,43.78710223945796,43.90288697293237,40.06818490484501,41.35260396505809,37.86176860584969,41.34118403037756,40.48846259390989,44.511681648261145,42.783055057305546,43.43736264714927,42.023637206609145,41.34022152262724,41.64189993886713,38.27337906017745,41.40975150276489,39.196617281318986,37.18591167971377,38.5258056156877,34.72369788684212,32.25836742474094,30.615287403292626,27.212171515075056,26.82698724209314,23.34965316431473,24.6831651309052,21.02738217606386,24.327785715702145,27.105229230262665,24.412185367776715,24.722122287247686,20.49944464071475,22.22368390541073,24.692569738039616,24.257270287230988,29.05090717895291,28.978087834005958,31.633325556690522,34.53316772044819,32.807025801149145,36.95253927976855,34.67257939812849,37.19553286979432,31.392583650244696,28.670517116406785,26.233459798185585,23.04915180914748,19.89845364476445,21.871732176233234,17.85486657788433,20.762898880413182,23.302836872480235,23.919897423888575,27.370334112508505,29.4796244328434,27.447043208813557,30.484858851051975,32.29591037091431,32.780971979830326,36.35952208126794,37.9628429624056,42.86602683832301,44.54628767853556,43.69273208249656,42.60550865335876,38.89520580986856,39.19456273449133,37.154877739872376,36.21145194089778,31.79551305663506,32.773617868265305,27.68773360840346,31.890592626204512,29.83437372232121,24.76627926913497,28.10347143848715,26.31974931937957,25.848398551049048,23.284876817195066,26.286467210118452,25.720676721469538,30.426579765030606,33.51880883446023,35.876246326788724,39.11417721470455,38.28001858706031,43.3370180925642,40.171159215426215,41.59854064390373,37.167751550018956,36.98427498001235,38.53568545455228,38.77037769950501,35.30665526468995,36.294765213577705,34.27018381503352,36.49593273285592,30.748877555254875,34.02335216568995,34.71586528517308,33.857541570648955,33.74206239829884,33.31310336997479,35.23563749855448,36.553792061201385,33.64528440972723,37.04611628202345,36.45575659157864,37.42993487605092,41.101680731821986,41.60629066784666,37.59930831031428,38.01152347297379,42.22275467474593,39.76308013655307,35.29857571354917,40.0220484525838,43.86800940433862,38.70268878666563,39.04423668980349,43.005888533474945,41.834837290053514,38.28982998649225,41.30083155988963,39.152597341234845,45.255822316072546,41.48761148696451,42.61455914467045,46.68784837536415,49.771796442732295,54.117155341308354,54.48328386201278,55.09108166480108,53.05895585038011,54.661781952538206,51.74659136041885,54.21940389675999,53.13296683424905,47.15113145052568,49.05796834745037,50.72186571982728,46.614611849661365,44.22161231455258,45.62174672991781,44.761994944688155,41.49667748368082,39.0550538138048,39.43508963561918,41.938530420915455,45.57173551776091,47.12124319500164,49.442244214165456,53.39744289314682,50.40240125382884,46.47689997210151,50.3329917551391,51.235105705950346,46.25668164513023,45.945877400854805,49.46061957091747,48.23058321446541,45.13975452199122,49.57540715123967,51.074082715817596,47.631522645770126,47.94807588501736,51.56935428991085,49.44706146911727,51.36178188047537,49.315310042526804,51.99503023762884,51.3382266056013,45.629344326091754,47.34212620238996,48.631863935766,45.90042213988738,42.72580375907022,47.33383915516424,46.44925605957636,40.989457218678055,41.07153832959545,45.15966324078839,42.01479318403951,38.3054656589894,36.09733570917534,37.9848948902321,36.27662885645698,38.80412677558131,34.19653221667646,35.53043085177652,33.53022753085835,30.499231781280383,30.413640008750143,30.903918169258816,30.749269865420693,34.31478865800829,31.300187290105214,33.47772562275297,30.4270415512525,33.519583875551994,37.798268726768164,41.03677366207872,40.2854940003466,35.79953945446381,38.49022535189858,41.09120949167844,36.385855323436054,35.39307594844705,39.97842080281455,42.74795763551132,45.056614235490734,45.75834317742573,46.26521727204133],[34.18893165437355,31.540321146799677,30.09598254817329,24.917212787146905,24.68625855800523,28.5939215618351,27.614525958256582,31.822446886382476,31.01725828962584,28.841069916284546,31.74193028067984,35.52034933379186,31.576278054343014,29.203527796894623,33.64414859160362,34.3308890307528,29.852129735229788,31.97963707342968,30.24482029714553,32.63632700516751,33.679603445390335,36.42905223551647,34.920470786585085,32.72209782517122,30.81805410408798,28.604896203241047,28.466979156960644,27.47254587464253,31.347376483533345,34.08590505208765,37.793166020609064,39.16597882446895,43.260731045070884,44.694814823104,41.49023189624298,37.74034674277618,37.843917192268876,34.050468252276424,32.0462111434539,35.915797857492265,31.496054358316975,33.30034008891725,36.93128149656244,34.33837255061765,33.843624121794896,30.617847212774013,33.47429199744559,35.71401075356009,31.462663859672084,33.809628422712464,38.336730785651206,39.91068672848417,42.351864196398495,38.203435545354274,44.22130142135517,45.12529629676887,41.055836919807895,43.04809302305218,47.28255718219465,44.95588027043782,42.42666787519598,45.274514442263744,45.170690383133696,44.71997869230613,41.393302143570295,39.704482464476754,36.83288344200422,36.370583063191944,33.05851908961408,33.908804713758784,31.890687262563763,34.114679599622626,36.92858152416162,37.77138768575728,39.329776723036275,44.78480544873924,42.74140782354415,47.00944237198043,45.14465184534499,44.58233733108123,43.9424491086496,41.5900200130054,42.08058396408059,40.54889766319053,36.52036189095067,37.203072072115646,38.10196347605081,41.64257404958323,40.00119392173279,45.313193261186996,42.79681123099812,45.88368555067431,44.00941763152833,43.8656320576415,39.890740304707414,41.42191424494422,37.79521414871989,40.75986322588392,39.588688621019536,43.28221863552568,41.49396611669025,41.57573968159038,40.23606129336416,39.035049489177126,39.01252451534052,35.46098933364648,38.30264399093202,35.809898871715994,33.79124681139303,35.45537643679287,31.78123886560733,29.614959710345772,28.400535313134434,25.06752850495573,25.456515314712664,22.032888151262803,23.902375274205987,20.417284462533438,24.62309376727722,27.096895534622668,24.518723976111772,24.42108706921625,19.858606396815908,20.978676408319863,23.041594936901625,21.860692208724277,26.302224711439646,26.01687697248597,28.361700621067246,31.323067482725484,29.148109741174437,33.26386562930238,31.083988527130238,33.92088874830613,28.04353204161189,25.584493353780363,22.63937970715437,19.969893994011187,17.276630611070587,19.67539347075127,16.33003797171789,19.620809801724466,22.413987615975962,22.529681632413222,25.98343855838673,28.19881130864767,25.942351329151478,28.870668795710703,30.294239873090657,30.92311791494155,34.16387565803235,36.16805555258115,40.88212429112771,42.87204218444829,42.28710937566299,40.99898936603717,37.36525171760848,37.22542120576177,35.495723773718034,33.93449411199817,29.498292669288787,31.01510169779267,25.715002215284766,29.96569109219596,27.38054739589461,22.14903131067923,25.01213166236145,23.10231395624309,22.216386531703705,19.89158887088069,22.940538547696555,22.832249483471468,27.755976296077627,31.051082710487616,33.69289654050575,36.90190225118025,36.51480072987734,41.392654708271635,38.167983218736616,39.28393080489529,34.69211106246218,34.24164104884985,35.538950451270686,35.704134453258895,32.36922426333929,33.89270995029464,32.308898509415584,34.486958082417615,28.574890100484946,31.627773037701587,31.93677382659117,30.992008304077075,30.415374202576476,29.75803124296838,31.508875470407276,32.60219607080199,29.67239971609655,33.033831841919195,32.41966773297797,33.65189524205292,37.20982380098054,37.97534285031111,34.03563061271262,34.21532986195948,38.513524066486376,36.3294580680636,31.731687119893035,36.385063568749445,40.460724528585715,35.5158899024677,35.74600916390534,39.74839383412278,38.88153109679003,35.39068652044498,38.22773313023765,35.859363149582705,41.939624772306445,37.83244188820163,38.898590834680114,43.01906705832336,45.88228631163079,50.31469802347445,50.50289163951955,51.13944206420022,49.045157061167586,50.63687134429311,47.79969443958758,50.13155869546957,48.97933677790578,43.05692919372453,44.95924533069442,46.48159729319461,42.36856745613038,40.02910018112648,41.387571826103226,40.42742720791332,37.20051216971723,34.83332874530339,35.302631538429836,38.00643773732073,41.598130411637406,43.24265204045402,45.714924069230086,49.74531054890206,46.92501256616399,42.869281167539285,46.76661749163446,47.893015226482994,42.97340487438034,42.524754182354535,46.21692338644866,45.179441397080545,41.97837893225794,46.26832771691662,47.98012823440106,44.732144252578735,44.76985471402388,48.28258601094202,45.989554850385446,47.771733323370825,45.66148939885805,48.17132599941228,47.57508696549996,41.910502176988636,43.427117756143204,44.65741740100408,42.00412171032791,38.71973368890262,43.186501407635966,42.36442524185732,36.9543324798174,36.87594346494242,40.921637556643816,37.89638813290825,34.13576023496913,32.09869951423339,33.96725817737757,32.47687442204136,35.16691765010487,30.635186556758157,31.918457570813636,30.241220064364704,27.139363025070868,26.740224790419422,26.990686532075358,26.70354117758351,30.33035686371527,27.557411793360643,29.712487930066924,27.021071277072622,30.254003064756155,34.657854169177675,37.927258692222935,37.54922282671147,32.95715529651479,35.58095824608289,38.47837071630096,34.02463932580248,32.89350473409103,37.39241597932736,40.39224158486294,42.68295192930164,43.29445120815008,43.907941477795084],[38.43508894096868,35.82370529620546,34.4500443283602,29.441241926021156,29.296724128005906,33.48059610953986,32.62746165386363,36.8560446512306,36.10592357043712,33.89620002635834,36.750092565547426,40.55408745846803,36.508804781095826,34.110215184028206,38.42488366838115,39.08067532550509,34.49038385679705,36.31321772748733,34.12681442473844,36.45912530987796,37.069937798166904,39.54957499562043,37.730595665967066,35.29330570201998,33.79048889455834,31.962767370720957,32.17532132927487,31.63840334985764,35.69651419600733,38.658332009537595,42.29036432534928,43.83714389262675,47.91675079977183,49.11727171080186,45.886253168677584,41.9982178150268,42.22979786072459,38.04734825537476,35.879306793258046,39.31229075571905,34.66905894551205,36.69305623213823,40.05029452374901,37.121392335693905,36.142020391180374,32.70849236951825,35.17257227860165,37.93702420357562,33.98616085455714,35.95007225174935,40.67535382208354,42.378514141511026,45.013677577481246,41.184569854396315,47.357364847103554,47.84244940506492,43.82605937273181,46.277008296277856,50.277909838763264,47.54089981217807,45.3603896324056,48.44993242205985,48.65899629852276,47.82271625395229,44.430128089533646,43.14217003003474,40.34578819353012,40.28289023276475,36.92180660742933,38.1132302253766,35.95229063414525,37.9552584678158,40.925106892249815,41.44715690651575,43.34060845077547,48.56691730334172,46.51667724876633,50.911452576925015,48.99877826369375,48.229574189702035,47.79818604076619,45.238061950950225,46.06761102481738,44.25738271197415,40.19241560463402,41.18141489738933,41.92577152251162,45.76247399326402,43.98297284818494,49.46960717672323,46.961783020378434,49.97475568923716,48.31415950866314,48.38032948405031,44.540527051778234,46.10010900488221,42.57618996718236,45.597502242108604,44.532314709961916,48.29530078244792,46.339335608120585,46.43874015456724,44.90154094878364,43.692940582439654,43.32334785941843,39.88699881191242,42.53583160725792,39.83383186239229,37.995779872942435,39.9006754532755,36.40710818282672,34.29804241407161,33.326059274646866,29.914723626298542,30.35805217982018,26.830043506124362,28.441534466509506,24.710425503667064,28.480977196130844,31.39895640491041,28.961534791506978,29.159589139084062,24.694930277757553,25.978027841428524,28.108267230006312,26.73850139579294,31.09373001980258,30.608794140454144,32.69747609637599,35.4727225618774,32.936504709551336,36.83565716843875,34.45989729620542,37.647034268886216,31.751046811125057,29.734321065533543,26.590588740908476,24.267462309094903,21.814331215681392,24.006021131281546,20.284747848397476,22.875081290451913,26.130109484389067,26.616040880978158,29.877962644851202,32.495564455954465,30.427933027763345,33.57390318451458,35.050496748216204,35.876329454403695,39.07876348876504,41.2072369454695,45.874460964084754,47.92919794404641,47.35937610241941,46.01021118792487,42.34303166745229,42.11563138425527,40.3072471027411,38.59475152639129,33.93265406779403,35.32534819694923,29.795655324103507,33.7727299424062,30.80046560852274,25.39929975919457,27.989548166792225,25.43213419210602,24.877996128878653,23.169325233964752,26.405153053116926,26.7219828768948,31.55903012775176,34.991228959698674,37.799311316547744,41.184811689424706,40.98105721901996,45.69759402121515,42.19872617589993,43.2818634452221,38.38927423526367,38.311489861223244,39.08747159215058,38.87461058175539,35.62648159207306,36.97659453515414,35.51387030566949,37.062071295985604,31.118138417222895,33.803178783455564,33.9407386437628,33.5678338602567,32.909172637382696,32.51475029079986,34.32489017831428,35.33206751033449,32.812817970186416,36.24370595202602,35.774248614542145,37.45768827332152,40.839388213717584,41.98896375791789,38.15256930178883,37.96491444010904,42.346347491363474,40.48494199376343,35.62451871403099,40.110291391363035,44.49780759387803,39.65097611483718,39.59230124358463,43.59690008317337,43.04097965988423,39.37881427540928,41.86633078281879,39.34304933293497,45.42707474272589,40.7534824010138,42.136627729717496,46.304789159638766,48.908987369056675,53.31210082978375,53.40185528991094,54.34303431858376,52.25405473959991,53.90282278816433,51.26740225210898,53.271058990897586,51.929022743336304,46.21212561090607,48.084751266804595,49.163974067217374,45.054030685526,42.913937039766175,43.99027331427895,42.66095528676642,39.69033641622768,37.52111173123617,38.41832742122166,41.448940816528,44.96812974661529,46.856096210444015,49.52696566548659,53.669081413136084,51.04462942368359,46.87754806137433,50.81200963662578,52.180690569115995,47.33352209649756,46.72088429891033,50.541683155578134,49.64798194497223,46.31070204347977,50.428106856101536,52.284055430764305,49.10566109148313,48.856161269558655,52.27105070919531,49.83100710865009,51.590869336663516,49.52096845451974,51.767538838772154,51.09174307783659,45.548659108415514,46.87784124469535,47.830110336971075,45.2216101513807,41.93874455876841,46.015714199735676,45.006019138865874,39.798944078706725,39.56919140079228,43.177940209906986,40.12435001130086,36.42677285737408,34.77483151936027,35.93710412428264,34.5869635569728,37.69493075400885,33.548267722187816,35.26564299265975,34.02988830211206,30.51485496259113,30.03648697586835,29.784100841649867,29.71427065857614,33.63134539107951,31.43845916530327,33.599894471274794,31.354708224700147,34.6443018088299,39.166747464096176,42.42604995787237,42.296468570884294,37.65153582253705,40.126612439579304,43.19976493790658,38.90499102893271,37.559884407608244,41.949656529774686,44.9832154264612,47.25659398653062,47.81127261806053,48.44061543838021],[40.47943883715951,37.82938303860724,36.28369523766204,31.146700236003152,30.58667391828889,34.509840359899464,33.19468586496737,37.19751115473387,36.2667361670599,33.60290745795433,36.254484934233936,40.11108465161542,35.767310763357315,33.30048388439438,37.28528314151623,37.881913392008784,33.14666054871327,34.51719039534513,31.86866549674059,34.2094171769158,34.45081386589667,36.825164708531425,34.77598989816819,32.2822644390523,31.067705160466677,29.395637298638945,29.996077070905578,29.827823230510784,34.03023145788282,37.30436689692981,40.65730531325056,42.55719400579329,46.53622889357408,47.39161774963425,44.22063310389691,40.181241602672486,40.73542323576583,36.17985906535664,34.039935073672915,37.38294253781614,32.49527390550644,34.312775977440324,37.55314520826247,34.53328167280584,33.25966304953479,29.862892461701495,32.251795625719595,35.233252225703275,31.56617567289762,33.67060903108705,38.29941913616519,40.22008092870816,42.74921703962883,39.017589801422915,45.181418134528045,45.354728382404986,41.24668794251636,43.85936010785984,47.7199486284187,44.741290145631275,42.598471653311925,45.712421917037524,46.07998068707146,44.94396369417439,41.57727321606391,40.57679705129771,37.74275522179197,38.00714016695813,34.61890312667432,36.1623745123493,33.917918192584715,35.79350001007596,38.7821774055484,38.968420411087166,41.127451237734064,46.121719336897975,44.121683350791,48.61635448192878,46.75602768803942,45.926589536742384,45.820518324722315,43.302329420003886,44.52476330505674,42.75155473552481,38.63200287022412,39.571273124325366,39.93874920199501,44.003072985892445,41.90420068510768,47.48063224999619,44.91679762046245,47.81072691656736,46.39225491548027,46.731580776911606,43.11771931253626,44.752845942550344,41.453690391413126,44.53156160735209,43.761112604176155,47.82374385220106,45.49973029168856,46.017717592947875,44.099846145079425,43.3407990980846,42.89181953599916,39.81620176095015,42.67286268980085,40.19972401509506,38.667364906318454,40.31190454533432,36.974405198808554,34.38220132164207,33.41959955497854,29.701114708769193,29.71332621866427,26.000141754333374,27.071359717290697,23.07874886860653,26.264454367704495,29.60062431404013,27.37834995500375,28.026714238042086,23.81655797585653,25.553763462160966,28.147216383560743,26.8717029837852,31.774376556599076,31.01280722199321,33.25263854285834,35.64091614204428,33.5573170932491,37.33016751094118,34.61739728227233,37.541603386932245,31.72591534675187,29.682898428728198,27.18611864949903,24.320993962455667,21.574886280058504,23.19050866445499,18.806944946328223,20.78194439943497,24.12660363446613,25.08403890809068,28.189929067383627,31.03658121466338,29.273892558910177,32.72389448660352,34.55233836095598,35.65908049758784,39.14864806343651,41.294919412774405,46.011976117538815,48.22858569477266,47.27720241254468,45.768327424336555,41.936817327535984,41.852337936037465,39.63610106066768,38.209025442433266,33.28413256103802,34.14186465869506,28.59788286603839,32.35353769170065,29.620288258352037,24.31790767557802,27.30651094549008,24.778075091448436,24.841688226090916,22.97038067473365,26.222734460888677,26.217370644706897,30.772315094538648,34.09244222169707,36.76429464020866,40.31328586990081,39.935429747007156,44.62355629229636,40.96048793850142,42.27749266826652,37.35095947617526,37.78490289717035,38.51397703797704,38.21497189155123,34.85396660203052,35.60941636641077,33.83274396836485,35.230090224417225,29.431027865342855,32.22861098204096,32.723957065335284,32.52444523760772,32.39569608246596,32.37547304802199,34.47608096032407,35.88795314887392,33.617657784956236,37.252842927520454,37.142951772779135,38.58492823802588,42.29557798882235,43.26736105054073,39.42305600465881,39.67912799451043,44.06486100301235,42.10168656904655,37.58153918013795,42.18426538822921,46.36647171599368,41.604016778724834,41.82590894076729,45.840520996371126,45.07617232911111,41.625506026267225,44.38118796662597,41.90971258644832,47.97161852097172,43.528567746432415,44.63317413686712,48.792140559896886,51.37758618170462,55.89006645477839,55.83623891443805,56.49818875678655,54.24374032391368,55.675903335857186,52.80196382516793,54.80681257264994,53.76012814683368,47.950691674080716,49.54318573877991,50.81447713383757,46.87745987967604,44.48754520458008,45.38719496888634,44.463623069527216,41.60849666204367,38.89065752751125,40.01351319066091,42.5227291915284,46.140199562394926,48.20186089108662,50.60980142332787,54.833699223576716,51.949817318376674,47.989612288167066,52.171154032544926,53.298802843331785,48.40647207945859,48.15431625530299,51.97822373432729,51.02523668789396,47.9073028907052,52.168608919897906,53.98358345834386,50.84549267422527,50.847986984055666,54.302779373843705,51.911584895937494,53.52597011567475,51.25525103553373,53.60281841107029,53.20594116087494,47.59150819243471,48.77757399245384,50.01234363765708,47.5103653732515,44.017923747433,48.18292813880272,47.50053400297808,42.239248323769786,41.780083722566594,45.617917962291266,42.82728272304947,39.01778864955902,37.40413029175984,38.87811761835917,37.666711015747964,40.69131624405423,36.387540053485864,37.77432231333058,36.34258605971646,33.14538252431547,32.55689548165865,32.45134719506897,32.04573444823842,35.72654440973559,33.11845218631478,34.91877220840018,32.43695123383641,36.02758115231002,40.20747342749409,43.61277318778595,43.13762990601318,38.70203219474869,41.560486182540856,44.41808270236546,39.8476160477407,39.010118962032635,43.5518545739832,46.562727015655256,48.835428892214594,49.41088655349938,49.983135168645035],[38.249507575872734,35.410651340574816,33.42312709923388,28.427653743265854,27.161827653465718,31.18593177962457,29.568487181337552,33.39653606629992,32.73246211088027,29.93876332094277,32.69170442251465,36.37418894364325,31.784767364157677,29.690775811299705,33.5805001533213,33.90701377847104,29.12307141168327,30.575029396130713,28.13393578283284,30.160919330217816,30.64880779501085,32.943694833756645,31.20235357516706,28.71605506730043,27.143433781082813,25.50591387640485,25.734395331853467,25.565802517882123,29.78855742455413,33.00806973257756,36.72421602461377,38.33949107644138,42.42658437359215,43.28763605479587,39.95450984886229,35.94480328453884,36.27721820400423,31.733791600378556,29.49087253887513,32.79822996929134,28.034906123554844,30.072829900548175,33.347333818616264,30.390860326237622,29.453054707641353,26.072175359932068,28.653199084243045,31.273852353789074,27.343126741214945,29.50841085950595,34.11958074440608,35.898041709382156,38.42547470888316,34.575453373017716,40.736927439537,41.14345754794224,37.09694620269114,39.58702004575558,43.55015192401483,40.81346393071787,38.66346797424647,41.841306606065956,42.170276380211,41.367301821066356,37.8731011289898,36.62172302772567,34.12131543693556,34.232822650235306,31.196841851883363,32.73820380449219,30.759533017890966,33.014353795010734,35.6274493485046,35.76155194075583,37.52472196211566,42.543786515574325,40.233034380466755,44.65669849301771,42.60651654654978,41.68166731634385,41.35423795329157,38.74299563643767,39.85217982219938,38.02762947972229,33.921771222319634,34.93113234628547,35.47933635688163,39.516683198820814,37.66877806094701,43.31226198059292,40.96164868420018,44.09754971742515,42.67731144554675,42.91914651447904,39.31075405054984,41.17901652036589,37.91279653263604,40.60842667415033,39.78778776256797,43.801037659727754,41.216035370674106,41.63873855931946,39.55931325813409,38.792196156470894,38.20008483888987,35.25222529604211,38.142280441415764,35.768253631342745,34.42728975605579,35.96278041519922,32.810853670178815,30.00716285459391,29.282733565052602,25.409429516836802,25.589021920676437,21.824085058619538,22.922210093780848,18.951193068563377,22.5777071424662,25.799575861800054,23.783122873754593,24.368177625427567,20.12548751106083,21.743576442351873,24.402857316570298,22.75391413676986,27.860928812880797,26.772933840799716,28.997343228895623,31.139598153800883,29.305053548607184,33.01110742217478,30.185109691077457,32.938054075047454,27.172562851506786,25.123752692619785,22.97260358738017,19.873679825670116,17.138873949900848,18.560712484693823,14.23617253617345,16.31112515424595,19.729252005649677,20.521530714099054,23.593531753824,26.528457845204706,24.771461557143233,28.294741075417438,30.105472360747363,31.47578860313185,34.953549828009315,37.34458604284023,41.950301449413004,44.49014584308861,43.42039287343675,41.66250452705374,37.78464663646345,37.53119197349519,35.2478233414368,33.67441715613889,28.630268020002585,29.491169276303783,23.88084868090814,27.62087293265946,24.86911749043623,19.595702825428386,22.7176090071511,20.44116320186007,20.582560764423036,18.46813975415305,21.66834500821534,21.519986372473216,26.012556460453407,29.321702079897328,32.01206100262643,35.586749919726955,35.31478299766998,39.91896441786611,36.21534294244161,37.50287485959932,32.57775952704658,33.056090473457914,33.80823823656233,33.57744529896325,30.172620361563247,30.937995296790213,29.17486256148584,30.773796524666714,24.948266966189728,27.885633871041556,28.468462868782268,28.02441740596916,28.028084723130497,28.01722985883426,30.205002082599542,31.832358321239827,29.58489460399962,33.310888412101335,33.43552974213133,34.641152530897976,38.59865006751863,39.4275899862705,35.619039624164365,36.25176847499234,40.6214074310933,38.651449721871266,34.504773758684095,39.1687041459086,43.160528462103876,38.643417347087095,39.148086411326105,43.152565559746826,42.30436772089265,39.190761204643685,42.165033462731905,39.67462798332508,45.634330273540144,41.431831763800986,42.106926014821155,46.2317314544462,48.739248558571795,53.3862298610836,53.13739864425288,53.44453067037614,51.01613425691791,52.22753999410925,49.13302239656159,51.18395544494242,50.426878243315215,44.518563051190114,45.87962460312006,47.4142113956276,43.63409794365134,40.99452221260218,41.84671902704896,41.36832021313542,38.536805760328136,35.33714007916883,36.51245824979831,38.55247415467098,42.232527152239875,44.38354236391166,46.57507514314399,50.846889238078646,47.79914491490878,43.991322977142225,48.36720998614673,49.338576006016424,44.449532084809206,44.47918962368434,48.348701135600514,47.42886107147081,44.503027070152044,48.82241055408759,50.680078835667096,47.71122242178053,47.8512493275159,51.276798937119715,48.887124582734145,50.28110456697932,47.79370630824258,50.207675808370894,50.125612686016595,44.47221694903034,45.47026797199959,47.01616620386544,44.65936807574108,40.94017559601832,45.22080376409707,44.94669644833789,39.63184224791212,38.93407834822257,43.10269028754443,40.65073962236155,36.71831889765411,35.113618256316116,37.12341119619176,36.13960864753552,38.99864231120948,34.509121385083674,35.37350289521021,33.84641461681017,31.103067989199502,30.234187841092698,30.28472912244492,29.40444917252656,32.7403412368047,29.741771455955654,31.1642865110936,28.585017460097085,32.47436331917892,36.33469654661202,39.8596820361894,39.25072698703275,34.996836159923895,38.17351796933625,40.95242253544582,36.307779813199716,35.92065119820295,40.520399458497785,43.634688329963716,45.88030777365424,46.43072998671863,47.02339775260864],[38.648281488757604,35.71948509454239,33.65113787500152,29.029552491900198,27.84309772194924,32.594100575047115,31.474229399124262,35.510149530929496,35.310643558828794,32.97290026844374,36.0009554116818,39.52875932102985,35.06706559718183,33.2743382998372,37.38137991178263,37.57955259606922,32.876051355846144,34.62884151600686,32.46275153827105,34.1981979463598,34.829324383742865,36.875668358136444,35.29700448248938,32.66362331050679,30.994869663688128,29.636441330610506,29.516442632604548,29.351497577123318,33.5206306380421,36.50013600019894,40.68946035492312,41.848917559613895,46.093861134912764,47.131445893649655,43.61398226478964,39.70358822708975,39.616798212904456,35.1973690832389,32.70945117117243,35.57133058530034,31.043891638812976,33.69593848007709,36.77811441520224,33.652809512284094,32.76718944958816,29.181927763219722,31.466079707917675,34.14166724824999,30.099246830372863,31.62648007830084,36.504018963531124,38.03657836829963,40.88524562388858,37.250842131029216,43.5171094589716,43.997738070584234,40.21687355037655,42.909762871920066,46.809637678497026,44.09910646498617,42.31636145153071,45.741388501342485,46.191421633736105,45.556413401048054,41.914097460861704,40.60387395023152,38.473172675229144,38.5083670620366,35.69994532748561,37.14190796870425,35.29750471343981,37.68340106659563,40.18912336234881,40.36687024748717,41.90018805220601,46.93257173313396,44.37436077802764,48.72816177949772,46.453092906725544,45.32272420427325,44.67460759659018,41.7441261151082,42.642431319802476,40.443093495061724,36.42420460498381,37.871596843688884,38.846883289375,42.855572932830604,41.442703589789325,47.15538775598159,45.04020390278864,48.37736396653905,46.896691404871206,46.960643394721814,43.23647150087926,45.18393385582434,41.778546845681014,44.20546825327461,43.098584456505115,46.76928726180688,44.297311696590974,44.14469235023265,42.234908438976355,40.882890035106364,39.91677732946884,36.727616387039326,39.15706206753572,36.333046376059634,34.93294376989964,36.98742477423569,33.95471034513253,31.69665471766286,31.374123007249295,27.736281937474747,28.657023281673936,25.041312355960933,26.618763937515315,22.85232982557818,26.963614940922504,29.97057292246034,27.95847922969231,28.203974337068757,23.732634872804834,24.813921936661394,26.95412595100363,24.751748570598078,29.187823314574917,28.030963505653897,29.775434357039376,32.054391103076775,29.40289834906838,32.991392503975334,30.305695310932293,33.668898307800006,27.83258103977723,26.3125869083088,23.29152914621801,21.177232773530484,19.1550264658313,21.06983522463263,17.5156610048762,19.682562932713818,23.37368250111521,23.78638115577323,26.76896393148089,29.81728494868104,27.879908178833876,31.223315499430292,32.59678078696653,33.97145955044985,37.02608882100612,39.691943928142436,44.11462880938019,46.753758924158,46.08318047457972,44.288866237273645,40.55674822653473,39.915864112952406,38.03505975401914,35.84043860760997,30.856027989955454,32.29327116440278,26.50135843011916,30.164397325989892,26.690012564759535,21.216062240218157,23.474771288217806,20.59855283807684,20.302099052610703,18.988218411433884,22.309926058742292,23.00565232205155,27.693437549991348,31.25922439348338,34.29764041877351,37.83512649983817,38.06247225841015,42.43570966980508,38.64609539802404,39.56257511549915,34.39206352526873,34.63473900337199,34.87682183316445,34.37938238535271,31.222593438925863,32.582791391204374,31.414940493876315,32.59358447782127,26.622536514717694,29.016213887606728,28.967407882554834,28.80137891807131,28.086900284838794,27.888043528108717,29.814857440631602,30.97774127259014,28.88350218947262,32.5076936863669,32.51835738400555,34.35039058713143,37.91400998704823,39.27652914598683,35.596895691073,35.5748885892044,40.045927630402915,38.52937850238398,33.94378386280082,38.375539168644124,42.824494140425166,38.4698893645505,38.56222567932841,42.5798441886576,42.233978450242894,38.93253779824854,41.427360469929184,38.67892762992093,44.62596143851228,39.72552960032286,40.70970961005465,44.8949326702696,47.09251303736506,51.71764044768103,51.356775319601226,52.03419141174603,49.65840325229308,51.01606844812393,48.24310280563891,49.972068709211,48.882293808715566,43.208773595864976,44.69565431034899,45.72018903122811,41.84799371814411,39.51766391956974,40.23423206110631,39.209847112678744,36.52694485370665,33.805741239113374,35.23117206882825,37.92387111904038,41.464841473357936,43.74883573016964,46.32006688600671,50.66274036233547,48.01310720403264,43.936418479651095,48.21392594313511,49.625130143651475,44.85773091334738,44.48331289656199,48.538601779936414,47.86632320169984,44.663971876341364,48.69139647467889,50.794142725332996,47.96926698681064,47.61259110352065,50.881019700674116,48.26495403120366,49.63827550878197,47.25103236251275,49.32059386510921,49.07412943316738,43.57583105565182,44.39535189380701,45.56196659900428,43.23387508491453,39.55657499075587,43.42497822198478,42.89997949006031,37.78921330599003,36.99123606025146,40.71256113942604,38.19986673099727,34.331270541166404,33.095240360524755,34.462217147838565,33.66526153019438,36.94324411940339,32.84783781448396,34.125882717284455,33.200790254386824,29.990068710523055,28.923290872872816,28.401359357554004,27.743458194575773,31.432435804057537,29.228045520727285,30.84025270936914,28.952640319489042,32.76759171050945,36.97281326013037,40.41161939163304,40.40011624024548,35.934311641253,38.73382101857948,41.92126772881231,37.70252701639795,36.79084907805515,41.17128834144438,44.444678881615076,46.661922276232566,47.10787068710774,47.80586523870695],[41.70363191602699,38.86897640952624,37.00782382718572,32.387856638487776,31.516707481783236,36.27837723523077,35.295038231770114,39.39383529564126,39.08762275257328,36.75506290659747,39.716222497128435,43.33195734923463,38.907241200012244,36.946045785699674,41.03118230660761,41.32112029322545,36.58158503474294,38.16111600004386,35.716419355810764,37.548557447346376,37.890439924298185,39.8445473129772,38.01428542069651,35.282484092049216,33.93855449320525,32.73352622806196,32.920512447647596,32.95051837178693,37.18684653171381,40.29295126301313,44.29324916173995,45.653553838640605,49.84491429284041,50.766464445981136,47.304071084042064,43.31971106738574,43.39163626295039,38.796441169567736,36.29599801634533,38.98262998324192,34.3184460683542,36.9437079469955,39.88268786305863,36.598150706591,35.36341878717148,31.710042844181494,33.72126708847314,36.76237691259877,33.00150202009388,34.33803195358476,39.268230057811685,40.919601327563555,43.83289705845033,40.4089515801643,46.717768638703696,46.902084893306935,43.13195960226286,46.07237486883152,49.812003180474065,46.8229376503218,45.2072103445348,48.70876836974409,49.31654502930015,48.379781452642206,44.762629461345675,43.734086738087406,41.51329672592989,41.78429045834646,38.82568408364093,40.41961623701748,38.41657592236814,40.57594265328392,43.278658783347154,43.3292682155746,45.154551491213134,50.07071123113228,47.62573778076882,52.06032154592712,49.84019049054081,48.65542135734608,48.19996866603977,45.22790431924257,46.334478473905996,44.050469981330814,40.0227528199843,41.55493892837463,42.36748244429376,46.514731940273165,44.93020225593151,50.69008103263573,48.49605744902514,51.70644888521173,50.32726171001936,50.527571696265554,46.86538035464046,48.7417008220626,45.37230842432585,47.9739150612001,46.94461778843494,50.68267792429788,48.224227020759905,48.14466255911857,46.198595700859805,44.881942497033734,43.83694156522771,40.68025235537084,43.02808880465713,40.11422429137732,38.73519824485643,40.895189765465396,37.87298198876114,35.691949077770076,35.34765096409758,31.728863392972595,32.548768376102366,28.90230049662415,30.334980515946334,26.452604497200838,30.19462692306538,33.43242293856669,31.399652769308904,31.803686870543743,27.384918771829337,28.614437901049104,30.794810135456164,28.719036942872595,33.07810768159372,31.98373380836042,33.653904535050195,35.92417010952531,33.09513624191631,36.583325917650996,33.86741311354483,37.3858528484959,31.582351236000466,30.230250382659058,27.09460383548186,25.151734798207308,23.160093210349157,25.014152983409126,21.242728699740816,23.067119521874197,26.868896026734298,27.523226229623766,30.430766696508122,33.59526509877501,31.751811693551154,35.16197865800699,36.592074942495536,37.94480624595169,41.01236678777789,43.62114020748296,48.07457258509739,50.61926937770739,49.97774047602278,48.24841537617774,44.510820706237844,43.91742240123326,42.0049877287275,39.84284382512828,34.82060687204207,36.156783720907214,30.33308585018832,33.8657280133353,30.307111137037236,24.83722282309313,26.95758302952108,23.783925112113764,23.665417608841903,22.688345633305758,26.03179280143279,26.879961817541563,31.4873022992493,35.07067691955286,38.135687170003344,41.731007772812745,41.969960436900315,46.3023354391879,42.41916840883852,43.34944401364605,38.081347342187144,38.49337773917913,38.51600345922846,37.83173702394764,34.74635147392265,35.96573474543555,34.821935452594296,35.63454717197895,29.73696539257184,31.89539829176183,31.769140528020493,31.96993105461122,31.225510557091024,31.171370848871454,33.08540705142788,34.13961240627551,32.25416766237454,35.83937894143695,35.83606666904203,37.91337112974578,41.3000512204498,42.85676390269781,39.221827630093706,38.92862090492387,43.413531569295614,42.02862280426534,37.23056037939041,41.553097432808954,46.174550278548374,41.77847740110562,41.656998056365964,45.66577115122512,45.46854339844725,41.983468495135,44.25659440633369,41.46533863648436,47.43066888595854,42.225502970227396,43.497173729370964,47.6965823580971,49.79959319329275,54.34404844560994,54.007914066894806,54.94445700843251,52.64122735641115,54.093205885804196,51.49529541442005,53.051235235437865,51.78361895509839,46.267744907299615,47.80868272654126,48.53253695422959,44.63532566232004,42.49824102692711,43.09034713768521,41.75178117681635,39.207937429142056,36.76693827614469,38.3540429773822,41.3200746507491,44.7863551537787,47.13530635280372,49.84968726715025,54.20881867931253,51.7023172455586,47.546111884234875,51.760080708539434,53.31635570216258,48.58854673353624,48.0569732994464,52.13515064995463,51.50671726236071,48.192167653435355,52.12310769094082,54.26210367673549,51.406465603533356,50.89143453779171,54.1242585383106,51.45468940096542,52.893364131407324,50.606330059300525,52.53396542585325,52.14473609130896,46.732783422011764,47.53598720305854,48.46747595977111,46.118601555316346,42.54340583987623,46.17486793407872,45.424623020993245,40.45654141108472,39.68341605343554,43.05749435739267,40.430136139036094,36.66766497614215,35.60964041572466,36.45168346223869,35.64117361426866,39.13985792135941,35.30380114557696,36.94694513377938,36.227037249363505,32.7061503973577,31.73296366970477,30.962138489771338,30.582456615214756,34.48006512528282,32.656598192545324,34.395796082759986,32.70409408064466,36.40807983974744,40.75020094244091,44.13332179631048,44.248924023507406,39.71121882968723,42.3417921905377,45.60748267049458,41.46565589937675,40.32345658351158,44.64160542519031,47.881521761626594,50.09904594356387,50.530829015578014,51.2208241915532],[39.252673598636605,36.42915239719655,34.65162765686613,30.23584821105236,29.635616280667108,34.64215721183418,34.058417712544404,38.31193572564423,38.22060362945207,36.30505034309967,39.446612682094106,42.9697601772562,38.81416491154671,36.973405515764476,41.3269246563507,41.64025133882133,37.05467309801393,39.05730877632055,37.07856970233678,38.88568259555615,39.61500059902653,41.692186914670266,40.12085420739711,37.4772833661536,35.80995818434472,34.4189878637283,34.209558543973905,33.870210878093886,37.945310939548094,40.735274864368236,45.01351059563335,46.00823432005374,50.29078416563463,51.54324886640804,48.02134433748325,44.20012061932092,43.947856419625126,39.74475345186196,37.238054427579044,40.04211641433433,35.65371857239577,38.43787802208244,41.512325489838126,38.36723505287298,37.48546379468648,33.84177463643184,35.99557774168782,38.732885573726946,34.66969295981721,35.93936745081527,40.9052728253723,42.323850710591955,45.29745496818413,41.742969096261945,48.02226774092162,48.56564525515893,44.88188574428514,47.59989699655006,51.49845133791389,48.80541961572084,47.106290195648754,50.554168052885814,50.977006455870026,50.37824121995667,46.74083627966782,45.39089736673513,43.21614270457734,43.1459136016621,40.24511835234956,41.50033725666125,39.60847085255921,41.9249616782078,44.56323513228138,44.932820560345945,46.460020736977974,51.602810164841614,49.09192357879283,53.41253737322951,51.13781239396171,50.02528275108974,49.23382188238371,46.244935868295784,46.938427364903745,44.65129923008358,40.695999196245126,42.24380340129187,43.42902831865297,47.32436719480938,46.06889737269597,51.724096945925695,49.60272134261835,52.94401715987535,51.32980634717234,51.25736861296148,47.391306076514354,49.21869892353421,45.65502791772892,48.14806270668963,46.840720059557256,50.277032967277094,48.14577936934198,47.660538089034574,46.07239942107928,44.33412871005099,43.3706850020981,39.88972941495847,42.034364920939005,38.92787236469427,37.27309848921036,39.65966806714641,36.52707618426941,34.80084386586583,34.4810419404004,31.16492141060946,32.39675306073315,28.94970742595683,30.86428173502778,27.256483949890402,31.539310486045395,34.36249795399649,32.161099319576444,32.15116601682468,27.542329321424766,28.33885284781045,30.080435886434383,27.883764517422428,31.699733912376548,30.832412571982985,32.33714999726468,34.94505322896467,31.72251592332926,35.3159870570383,32.9515994824239,36.674900596484235,30.83705704853744,29.506000122265704,25.803590381946293,24.396505803099718,22.720739081702277,25.068432110586354,21.97019188269195,24.378735393843282,28.02510810731037,28.217835066320824,31.258175761775327,34.167858276934524,32.048482102578454,35.150810901622265,36.238700590445035,37.34578082758662,40.120255194600716,42.73088236993071,47.09976464326595,49.529243369269224,49.23148696687609,47.62570467597193,44.054041215367576,43.30949498246672,41.78576775735646,39.35492961193652,34.61198733338501,36.4485189639081,30.6905007434041,34.42441202124171,30.701534827962593,25.210062718586805,26.95389290484446,23.86844532486247,23.09552224926623,22.241558852645465,25.508982594083108,26.63012995798143,31.463569657309865,35.11708125074652,38.28231604643876,41.693695282748735,42.0942897276438,46.43744456885388,42.74297284163523,43.44776739783539,38.26204331458685,38.15571895791067,38.261831884721836,37.703503252343026,34.73582893499565,36.54193737072191,35.6880975938407,36.730757827629034,30.7364508376963,32.83130027283557,32.388256136406696,32.32728612011698,31.079624205436847,30.623154090421686,32.23156686997059,32.891517743301605,30.742174189329024,34.110025320939926,33.76785220685798,36.04509688729905,39.125339861956974,40.83222519984817,37.22578756378995,36.54640861363305,41.01135915325526,39.736729720814665,34.6806875559555,38.87652189779028,43.66086935727763,39.24768670184121,38.89499849200233,42.87891235167278,42.88228321059754,39.26838160487516,41.299757766278276,38.45280180577059,44.40221082836631,39.00696249451206,40.47598188737616,44.67283410924242,46.77317489781797,51.235717870247086,51.00392097193922,52.15360449195414,49.989609024744425,51.62176999497554,49.22800320886786,50.797335617742284,49.281852888555576,43.844354012496304,45.63328408011872,46.214574441953246,42.16596353030637,40.244007374303536,41.02011733715718,39.33940819405868,36.67348044031238,34.729213805901836,36.07889081145636,39.49512181361912,42.864377330738975,45.03925635731603,47.974429128620734,52.24611125319998,49.97379821830853,45.64847054716527,49.634753092436554,51.39776903240232,46.72758520714942,45.88752726742797,49.958510916052845,49.395827540658544,45.90932787798323,49.69582547814814,51.87820629609384,49.02337804769397,48.28387150740743,51.46319079179407,48.748970877267396,50.28909626582672,48.168174735388256,50.00446228939179,49.392078254467634,44.053723101232535,44.96469353223824,45.66546672674639,43.23849725128614,39.83791822606484,43.396603966646055,42.387610049410384,37.46760161069135,36.88294355741587,40.081120886504394,37.24629710465086,33.57167013736738,32.489803493801574,33.101985320135256,32.20825797309733,35.775005721198994,32.08313702284054,33.959554696166876,33.44622472680152,29.703145897674034,28.767722067121213,27.8459989259588,27.72210585602872,31.79437229674154,30.351099353549124,32.380318336856405,30.93169800896906,34.36449236227743,38.967929998156606,42.210922769184286,42.643130436566956,37.956335993691084,40.250923904336,43.701400023293466,39.83753916954682,38.28933725470047,42.44525080491111,45.71521236025975,47.918781272427594,48.3236195288151,49.07115007458869],[39.773998085265234,37.20339053712088,35.955599614327745,31.371127276650007,31.547057056017138,36.21496858129789,35.89718327461838,40.290509055821204,39.876406648513374,38.115527300742485,41.15711692882483,44.841915605193975,40.995377371551044,38.78173856101597,43.28521483302647,43.8938380475591,39.393300604658634,41.45864563556667,39.473627590388716,41.643824323938524,42.353138483614735,44.68393236541796,42.95036740578071,40.40524573108509,38.85588405731146,37.20021686753868,37.19299217054568,36.63371039563119,40.64204499194655,43.406874008995715,47.353947277413816,48.569350472841165,52.75429630761795,54.12995827295582,50.78203153851122,46.978368541348786,46.90397830966001,42.84971330839171,40.521419069803045,43.65187039019149,39.18298820053978,41.62327750353347,44.856220185580035,41.80209905060328,40.83592330966498,37.25599556315861,39.489917224107934,42.323845340333165,38.31762568718565,39.810988394715444,44.71865733299626,46.23968655774747,49.11416120135963,45.45643688607214,51.70262540922404,52.234838520319315,48.4127190398034,51.01529336625918,54.97068483197554,52.236177757294115,50.319309996737715,53.58178240714992,53.86891077181099,53.13104218502567,49.640642761515736,48.31812784548737,45.73581929806555,45.610994119226895,42.362877572206905,43.45331729102752,41.361118312093964,43.41953908965649,46.361433482196226,46.95389751601682,48.71477765875859,53.98009974662964,51.78796502693062,56.13739219529798,54.08283060188514,53.18384406055922,52.51654273372283,49.73334797067587,50.376525212253846,48.30185555550564,44.31570610090682,45.61176064083944,46.67593288962219,50.47108429361149,49.00364823462263,54.524829623356005,52.159692085964934,55.29755733238892,53.562319082257204,53.47954288274749,49.52859757331445,51.09549939228542,47.44307537950518,50.313405542467606,49.00559771703094,52.45997264700075,50.700785875053306,50.32329147889924,49.007443811306814,47.30388448378009,46.69954759155014,43.03047145635517,45.26604533156839,42.19420081755483,40.23710632358409,42.5792477010148,39.15501061238656,37.600997968610294,36.889770312739145,33.75897625812323,34.74369582630966,31.371640866820734,33.33598304399446,29.757809757044686,33.84464534714452,36.608166420854424,34.14061460153907,34.07766361294667,29.474495592107388,30.352067435365008,32.02492706849209,30.333854572345462,33.99890824943331,33.5840658181521,35.25997929006379,38.20659151953246,34.9820390644192,38.75471639058192,36.61830475909192,40.28220910359421,34.40767269954621,32.80687757353968,28.962585148754805,27.507680863716235,25.615302549250067,28.153972571346987,24.96889841754504,27.615615084490848,31.044743672879303,31.27628922847155,34.48726984065952,37.15065337806069,34.93810241654717,37.903566124391276,39.019411670540805,39.75912742076431,42.57784517683696,44.84285290662101,49.347444447481735,51.36755964195645,51.20029774500648,49.90639434232722,46.404001031812506,45.898797228609325,44.46988156454707,42.29946833336775,37.774400477487134,39.626384192746265,34.00773317497916,37.935942026282476,34.46540224140206,28.986722883820995,30.894847874664798,27.956276466509024,27.019281744185157,25.971472866985028,29.19495608631082,30.135155779555134,35.077364768149685,38.67112116351478,41.721652354469434,45.036531322515415,45.201178194698265,49.74942717254404,46.230231586397586,47.01227486938155,41.97539649114589,41.64860416014455,42.04892726191945,41.644245403165584,38.63820098099658,40.47494932258147,39.47368093226786,40.70202589105545,34.69751485840767,36.936856766710605,36.56822282189324,36.41776399624987,35.15800825448323,34.57123373265643,36.07693402096481,36.57975492050428,34.17882076898155,37.37934786785144,36.685258081658944,38.935722382582256,41.80377011097171,43.43445891864351,39.75669811367069,38.85320539364253,43.23747647996298,41.797068282855,36.4973436228831,40.651848643532674,45.44499386122174,40.721895930165616,40.17273667948426,44.11803296030375,44.064530334540805,40.16068114032156,42.061555805699314,39.358311749692724,45.3645083673847,40.027958127927775,41.87254668684457,46.03764300435373,48.3725127951828,52.628277057597906,52.72590828184489,54.15615581231749,52.23313606763602,54.106349461873506,51.88748360228241,53.592010029890254,51.83110853757116,46.43782547027655,48.523846932809604,49.0466145978731,44.82958029927272,43.11961072245781,44.12697187924268,42.133258106484234,39.30642995596426,37.8690810944531,38.868775480038764,42.61004920266572,45.92434626618367,47.82506252811049,50.88430642328532,55.00740675938785,52.82746100938971,48.408734686884955,52.112053838893395,53.91370947078883,49.222634096184684,48.14335214446383,52.05598316404432,51.37566986309495,47.75446795604959,51.53455571485931,53.56801645566291,50.48661322194928,49.73312824294821,52.97636670899283,50.364483088946464,52.187761826846305,50.33667629605659,52.230315569952474,51.26120234355575,45.95184895116122,47.207620629202786,47.663628874831865,45.04352626633334,41.97922212116744,45.58471449373272,44.15307435267884,39.24729751151462,39.08472795631553,42.06754466437063,38.819808071010755,35.33828360863164,34.02732995596892,34.30807226263113,33.02041978379542,36.51610496324285,32.92924379573786,35.22907947794249,34.61092009777871,30.57606968491657,30.07279302782289,29.249119857267896,29.63232920486189,33.889735920215024,32.61212862456152,35.04553339955055,33.454476580074164,36.47636468837445,41.3311860267677,44.413970008465306,44.85318642625755,40.029423513891345,42.01147465276926,45.428242912131694,41.60016674532022,39.6570818491221,43.750427618744155,46.84928853226697,49.07852873950691,49.54118777430858,50.2499739156135],[36.62587531063808,34.261338594633436,33.459457858985616,28.71321380876203,29.585066945195155,33.85136348091483,33.80948318953809,38.307408080115394,37.661715823458984,36.185427362980455,39.184829279653236,42.92634334095217,39.49378163616616,37.05264465719887,41.764666300388384,42.62514395270945,38.33579621520727,40.69354897878445,39.0691280065937,41.524691354402115,42.53299358363906,45.21864119356543,43.5934173961973,41.27814635910876,39.53361750352266,37.44873933674413,37.32163511448714,36.28401949574823,40.070289796612215,42.596322355545205,46.36162363731764,47.557565566161415,51.668375622533745,53.34362476528454,50.151681492895804,46.4992631373314,46.41687902685062,42.80320886248143,40.708028641518034,44.331602799705614,39.99377714970531,42.08892201081244,45.60872120711139,42.8418600943982,42.153512202226736,38.73118685416753,41.27732879270282,43.8321490241334,39.633192093523476,41.493109461720586,46.26435834324223,47.74408844187091,50.44583863861688,46.49977250015969,52.62107947819866,53.46209322264332,49.52286466996734,51.72607742289971,55.8883407698916,53.42518110423772,51.12507656050233,54.08982800497715,54.05278129841774,53.50416619959683,50.16801384279755,48.575042764105625,45.66073189453168,45.19910281895473,41.7452901981034,42.43399569160611,40.30544029118291,42.29833506033645,45.35894719141695,46.374458787187606,48.05262908524944,53.56707470755496,51.621574012480686,55.87838548380531,54.01794330994062,53.420754507756655,52.65861816983479,50.155906248032004,50.47711619964557,48.728218028524,44.76596482123951,45.70089508934633,46.83701390193843,50.31756299915635,48.84532339654343,54.11438180837283,51.582207387316274,54.616928048694284,52.618875816901586,52.344785592745026,48.22729732297641,49.54629045629226,45.7440386371223,48.837411099570886,47.40982501877782,50.740253446683596,49.4668796372827,49.06882274259553,48.17380274445045,46.41046440203902,46.305697141480756,42.365965330157145,44.724801520043265,41.76641761212322,39.409991363267025,41.624742945476214,37.8587484651959,36.5409897926962,35.40615288635653,32.58441184682152,33.45118634105527,30.298311712999645,32.52354284241626,29.213665576937284,33.43678757820917,35.799033667186976,33.04493117448517,32.684247059289156,28.072592957159195,28.788789943798243,30.20797372663362,29.002768092761322,32.383095134647455,32.500174427373324,34.38811520155893,37.767396736903585,34.66014552834048,38.711613676777134,36.93994809781472,40.399423068397525,34.51485955623063,32.491960609810214,28.52378688793928,27.02179964482722,24.982795932806347,27.847813296857318,24.996369304895033,28.223467385909153,31.217272825631984,31.18707049998526,34.615646294771736,36.80977769754704,34.386388110641626,37.02474500834546,38.03401809121211,38.30810559996348,41.0796613305795,42.979467316634,47.56793967092549,49.173932413919395,49.1945627572443,48.228690666585415,44.86804311974107,44.56787788131336,43.36649941531033,41.431233035055904,37.298651768599974,39.335783846476915,33.99929880860819,38.23149337276544,35.12423410382875,29.751644924009156,31.83026987268368,29.34602849257006,27.98305710926683,26.511111089167883,29.582643203535675,30.24011025514279,35.33063450020511,38.80690716279206,41.68990717990947,44.77559539702408,44.69481134284168,49.47157215892149,46.297035199452615,47.10355567017374,42.38075490867635,41.56598458137821,42.499245779364564,42.45314047551957,39.39395981009996,41.4709794625401,40.3551515145147,42.11693541293452,36.09026691719699,38.634378488410846,38.358821815284635,37.76529213051492,36.44291996194163,35.52974978907576,36.86888308609833,37.229262836458176,34.33357683107981,37.32062054298723,36.189157402922646,38.190564601383805,40.923989876818,42.28929749210001,38.506462210483825,37.550859406792746,41.80973489246557,40.060774337401725,34.66164737324858,38.85321429525488,43.49319337794999,38.44755562589354,37.8536567723056,41.75980381101022,41.50760856418261,37.42880809146008,39.38370276414149,36.889033030204665,42.95087683343331,37.994067491640244,39.99413414900174,44.107883173616266,46.82227854182873,50.917411308684066,51.38117339246814,52.879141709441754,51.17645525740077,53.246902701862474,51.077028376914186,53.11128551207137,51.228562262724516,45.74281118226867,48.13994651169366,48.883791918254,44.49199209797016,42.8574778606093,44.27183187695745,42.20853703134058,39.04710372310336,37.97283379181429,38.37740082602629,42.27045671686794,45.56739178861043,47.05816394549373,50.13704629662602,54.04768237576896,51.87181246145813,47.416218845315555,50.81139729020801,52.53583272767652,47.805505115617976,46.56157265021442,50.25514099323887,49.4038068530589,45.72085669463293,49.56600357597034,51.390563050610545,48.076763504504676,47.44299411065309,50.79081566387193,48.35167917767071,50.449747334468235,48.83322865577033,50.92594123197326,49.66596935811636,44.313381889225724,46.00166985901623,46.39194368671995,43.560262817314594,40.80708710068082,44.70379749855742,42.995537591719234,37.95815091933052,38.286003167248296,41.36924327267875,37.74525850326981,34.3818950355204,32.60142700772476,33.05218289869511,31.297761018636685,34.46646815243599,30.715963428477597,33.161591901264465,32.22265004436668,28.12469433286476,28.06018415433503,27.606306200501763,28.34013817066201,32.61960065301694,31.22121054329839,34.04571680132496,32.15846519791902,34.724016427716705,39.76321815253688,42.67348381243236,43.049211091015344,38.13087046221481,39.8410850105044,43.16004861132561,39.362943746680955,37.108301944369714,41.15453540389806,44.08641099983612,46.3420494699639,46.884632685931194,47.56302124848075],[38.87075355805127,36.62464281575083,36.010623040756265,31.597300541820108,32.7408863417405,37.18469994149873,37.46929490124745,42.02476326054656,41.5186775201411,40.284244820043675,43.33353353254962,47.021184960331,43.721942233830305,41.33191656240068,46.1083231097767,46.97343576692755,42.72788020396499,45.14451580460578,43.532419858325305,45.9420871412335,46.91663804502875,49.51519345026612,47.856638805100324,45.462170336529745,43.77918634615527,41.8111412314547,41.669769662421814,40.68156270169453,44.46617112358983,46.93256000831987,50.78783063940198,51.87985422777069,56.0187629118793,57.75390458788662,54.52680506575448,50.89693361894068,50.71251973524528,47.113514291134756,44.93794683646513,48.376850396263336,44.077219190978084,46.36172281496597,49.79253456084771,46.92109155207083,46.145239348569945,42.62970670864864,45.00881881527399,47.69403987963201,43.531959904780834,45.13113565755948,50.007164459434215,51.43172747009049,54.26825790967175,50.449770378383754,56.62459076680775,57.41404458322329,53.56269205326642,55.90360994982281,60.008870142507405,57.47119250764806,55.33245023955376,58.39906445835593,58.43679415867708,57.85153963253256,54.474786793970225,52.9392357003569,50.089854740478344,49.66365284738099,46.21552937573168,46.898614795955105,44.7568352351701,46.70252578993986,49.80919111342767,50.8274665043438,52.528918827888205,58.03486056075595,56.06091290984309,60.320032413337756,58.41138135494856,57.74268557364219,56.917908927033636,54.29869957204014,54.580331624573475,52.68225851591219,48.75673519552058,49.86013015097582,51.10578218870306,54.60196125538006,53.23128942897555,58.5273426210844,56.03616320864776,59.090361792873,57.07871571215249,56.766849478482996,52.6145458829237,53.90488240400705,50.055495421253866,53.12596683372139,51.600724047634436,54.778543331498255,53.630786309902604,53.011701331498536,52.23330250611322,50.23247602863255,49.998154492377026,45.9566163331289,48.06962049542246,44.91021242474126,42.500529131384276,44.95750102845149,41.25077681133922,40.25174044596506,39.24719763115271,36.58633396435793,37.67576255249393,34.59619071688121,36.92214593065762,33.64192400579066,37.89823830065027,40.26412213158285,37.50227968419765,37.077652231989745,32.44687481535349,33.024496861989505,34.23538651901049,32.9161880191816,35.899510184947516,36.0694659515769,37.7110580955632,41.15380967873648,37.671194350530186,41.60151799496297,39.96705718120214,43.68886984077202,37.85442347895196,36.09311059876902,31.79634886632011,30.764278513651696,29.00671719844964,31.968904431423205,29.267582989131107,32.405335716407194,35.52959523177914,35.46213157703513,38.84482460128804,41.101065205061964,38.643327048238085,41.21488207917713,42.0640503336734,42.28636774496397,44.85045242545527,46.78150354844925,51.270333361038084,52.799210997068975,53.05163341752692,52.15359765204961,48.89479329115427,48.474298606055854,47.46377468387842,45.32037328518818,41.25996566303157,43.482885726021834,38.097265825126456,42.26713335823372,38.903165922373304,33.4976993727275,35.227047583518896,32.499457417852966,31.019847657655145,29.951662794860148,33.00649286660888,33.991633219834036,39.09137173044331,42.64381195960561,45.64677482851342,48.706955426454115,48.80749502550308,53.488207417110836,50.28651747545527,50.94753588449911,46.13614699822377,45.240878143643926,45.93181145457493,45.74595260907592,42.832468683435636,45.1081477402875,44.217177480458595,45.736442530964055,39.69891575994424,41.973682933962905,41.43877718312756,41.04170019711639,39.42260491876094,38.4511003819899,39.62077226952471,39.68036939362939,36.9154699648975,39.7277551398205,38.4595654949523,40.813038751952305,43.16927821287633,44.83831599175037,41.19078575448774,39.75547268790909,43.960233482227565,42.49610816285836,36.84484159072427,40.74364928677759,45.6123413184071,40.663896619205254,39.710218869821105,43.5181565100414,43.605988257392724,39.361881919307415,40.85088250078362,38.28993699618106,44.227426388764364,38.85098535658727,41.23536939685253,45.29445614164594,47.819526545976665,51.7348491573667,52.253003711200016,54.14146408446629,52.600396915460735,54.84256547484936,52.997965558320175,54.8139937423039,52.62359028742286,47.42052472616375,49.96687258001474,50.29857662784433,45.856818866164566,44.561553326048404,45.91707173461866,43.37307423582166,40.34933330582857,39.832829204921374,40.30020791305302,44.65044459461507,47.78058177975934,49.25853792185525,52.585371782025234,56.45242737161268,54.586694903826206,49.989735217189,53.18738463404695,55.19011315082689,50.590140194386336,49.0293372644086,52.73752477362452,52.017564611446176,48.160584486242456,51.74688607236834,53.65547252411068,50.397194499784064,49.42576444177065,52.6368246600768,50.113891530697174,52.280430858809794,50.862527064634286,52.69833326241729,51.195057170688116,46.06119839530828,47.72136761513067,47.72164721247846,44.88416844373545,42.36103373852844,45.87521162433595,43.81486077272757,39.068581682949095,39.49021736235295,42.03489464461494,38.25119106043992,35.13288907771947,33.61364478750178,33.3152996960833,31.57025079628977,34.972369310946796,31.74539923337742,34.65123126726205,34.15228141407688,29.722679468523808,29.71500769178989,28.86715678891425,29.98275161497139,34.44016910174592,33.704685637764804,36.68774388764232,35.22689134226677,37.564844682298926,42.77418266246894,45.53330282414521,46.25562597778873,41.262477405472715,42.61312828444468,46.10868760182714,42.635121469965796,39.98985773592242,43.79051537904185,46.700170623044286,48.9076257307511,49.38826767054288,50.09547654257465],[39.92875171130055,37.34557866360543,36.07273678083371,31.960098240795993,32.21131584541141,37.27986326594113,37.35285922538621,41.80869405854433,41.76617124047783,40.380458983042736,43.59845860873177,47.111232766433076,43.40658863494481,41.46236737262187,46.09564646554885,46.595323416893656,42.19680680006601,44.51163174769728,42.80315907142007,44.76394767250177,45.66275965430164,47.873363228478766,46.32724149592262,43.73047317597492,42.01740768495978,40.474733734334784,40.16042573011546,39.5313257680883,43.45571085541737,45.994810370646725,50.297436257542664,51.12543378970087,55.41670757510593,56.969733412501796,53.492448775933305,49.802540804028936,49.38973456482222,45.52047048235119,43.06333217174235,45.95378217440636,41.726166733505806,44.53377409420485,47.685921809445865,44.597534538778326,43.78721832645246,40.1297112673898,42.25074156621056,44.97748628326089,40.84341662474951,41.98045595763339,46.988635530490726,48.285952775275994,51.33199025272752,47.77448148663821,54.03168951395668,54.71907323317671,51.093129203155414,53.728251670258906,57.68535232906659,55.07773849816188,53.35046436014577,56.73916645147928,57.04500618514779,56.52663350517427,52.93486703442888,51.475194118222745,49.154274560740454,48.893583407648464,45.83817911289824,46.80415773455007,44.853150045631516,47.07274189430682,49.87837151255064,50.551474316263,52.0601814750364,57.380732868291126,54.99292792597904,59.25894648646414,57.04219455475404,56.03339551593615,55.077519979545755,52.11226486369278,52.51393932001847,50.23404905964835,46.35358612823192,47.89371901796605,49.29825476738389,52.994537628239456,51.888061806070745,57.415670686187,55.23668187545663,58.54764120513621,56.726559002616135,56.46441981066333,52.41453084874197,54.042292381372896,50.286201773380256,52.9067423279602,51.36483004095794,54.50765928356077,52.8798247338377,52.04636708123293,50.91771300164123,48.77337294900989,47.96121147235916,44.123644694610434,45.98827541570789,42.64369409299475,40.62016727003343,43.297261439823764,39.99716708614668,38.90794633849187,38.47471618896729,35.59716041631439,37.081430280481,33.8750373991618,36.154166543091286,32.76538866542859,37.22221417590589,39.77299206272231,37.32269656293316,36.99881680997963,32.29605292894226,32.78317690540745,34.054687938853725,32.0290496942907,35.08691125753124,34.67763657808234,35.97573475481572,39.01068176603877,35.27861184500945,38.90244001371196,37.0133671760535,41.002175947996605,35.2247189366808,33.973514467486865,29.63905008823126,28.91544492826672,27.53144812323334,30.315713948967534,27.690223976256874,30.447814999137403,33.943682750258446,33.881290028632066,37.032002411187236,39.68228024768527,37.342226642921766,40.11471117105736,40.889962586139845,41.591172495952584,44.042850998845196,46.470128519309284,50.774235463616264,52.838846295448334,53.00197371258123,51.70085713366905,48.35691237272624,47.568532950039184,46.48230441762554,43.8938459289843,39.529430700813876,41.791752875754185,36.16179889924026,40.03793486427601,36.20311402539869,30.757250521335617,32.081279258886504,28.983755397554756,27.67262470901344,27.122570418895386,30.2413553704646,31.652863843864726,36.62265093046664,40.30492318610813,43.531531477508054,46.74110927649709,47.24162429376043,51.609686968949134,48.117448268609834,48.6170491702824,43.52491958664059,42.93428742935812,43.05724463519745,42.54581135498917,39.771464419473325,42.065986991164635,41.47693474965305,42.541264630938144,36.534146161241,38.4348923216038,37.650316805162845,37.564248046178115,35.79821274428135,34.99823647234164,36.20826043895911,36.28435582158642,33.971171697777216,36.93011644981387,36.06890926470035,38.72926370938541,41.17003524052492,43.16926447798088,39.66989272602028,38.2344436675135,42.57797488875619,41.517559980128055,35.97754773347418,39.81643588344541,44.88227452377952,40.376893871030994,39.48041610867109,43.34249160905178,43.715288458395634,39.73394141983531,41.16682985119138,38.30860489105591,44.17276647070084,38.34304219646059,40.45360343469047,44.581870839434735,46.64172552293123,50.79099331495211,50.83835000802201,52.59221616107173,50.77946070762763,52.7885134767359,50.89227635213102,52.35148922554622,50.299372153403844,45.19158308346658,47.41051666123164,47.51928463180235,43.2614347770535,41.885380611949714,42.84323070335065,40.37670632239449,37.68136386310282,36.815748112705165,37.87037554686989,42.106679631426076,45.2273092024066,47.1262674527195,50.45691836005786,54.54393863446749,52.726869623795366,48.149034932994354,51.665459742671054,53.79844334727426,49.27324957894662,47.85775258830323,51.83952322907089,51.361046393173844,47.562113607103335,51.03827333345172,53.232605668322876,50.30537582726889,49.14726144041545,52.211960010207896,49.45911662184305,51.265400739937334,49.55920195934729,51.15198146887607,50.01256740238789,44.92766875220839,46.06467541400398,46.1628212801293,43.585500210353004,40.67608156679711,43.879394892463246,42.189105025583515,37.56536728641357,37.40743740039845,39.90776068246639,36.594853853313715,33.296889514732655,32.3029147354203,31.947890609443174,30.804841638188712,34.579656359793255,31.472426365795194,34.106915201379685,34.02648790489678,29.715443332482756,29.098222705262366,27.810434277514315,28.463177609961225,32.87789674094838,32.327963853186965,34.88855461586127,33.863367250396976,36.679915266045924,41.70207057582233,44.63265831554869,45.53762851500234,40.64085221754857,42.256034037656875,45.93182294637478,42.52466303470862,40.19891871861961,44.017405672227355,47.19080215192754,49.360635497646214,49.73247952480259,50.51697681361574],[34.49330655469004,31.79685760286038,30.377257779553013,26.235405243908396,26.41262865623002,31.51059651062618,31.653060659551933,36.12403878899938,36.22201858048768,35.04851334351198,38.37429440990962,41.7582867183758,38.21591638763105,36.450931177858344,41.204374732262806,41.667773545947085,37.44315757720684,40.10503474813339,38.90743529184952,40.809405927792255,42.15136023184506,44.543170285675885,43.34373789225258,40.941708857226985,38.81697825268496,36.998830887690254,36.26135256370194,35.22758924965677,38.93152552792686,41.16359462226062,45.66351010870905,46.16838288023005,50.49747195802162,52.31827799024309,48.826589013335095,45.3214674305173,44.65820320829728,41.22247457414035,38.86396491283591,42.052059176914995,38.11465972482591,40.864392506174454,44.2265882482305,41.43049685156652,41.111378588548384,37.60194137200965,40.06479789149685,42.28257054821458,37.81074531224815,39.20137369981009,44.0790387033161,45.189811417448745,48.11067938796113,44.26816503213446,50.39023962622837,51.530455608692215,47.90831529102803,50.123661172892405,54.3025273320755,52.12449194734463,50.128008144155615,53.33254003833355,53.35842697481297,53.270072521462204,49.70926950477932,47.84172204349486,45.56699664690734,44.909632701166124,42.004459076576886,42.62996367560073,40.882174902312826,43.34443521740446,45.93103150280695,46.898514521809105,48.00252070713359,53.51654415051066,51.06530035708887,55.170486033595,52.94280501361637,52.085860824233805,50.83601224685977,48.00299820431582,48.00317692449653,45.91259227734584,42.10044962125159,43.44944488193496,45.12165806501247,48.503151649259806,47.66373418043831,53.01649239321067,50.91472521834526,54.34716021601294,52.315243626945914,51.799305703100686,47.61734750920985,49.24581171117902,45.38581449270937,47.821122094359154,46.09684242312685,49.03959851813895,47.6077860531138,46.57754382432944,45.6998973091105,43.38944681148594,42.8200703994999,38.79336397953402,40.71317648085326,37.44462684781568,35.19552986407219,37.797078321691565,34.353413735365,33.41118542212318,32.90114620497269,30.220405863898996,31.922509412369642,28.921350899492495,31.548074285293147,28.49585605136781,33.42013342687223,35.49246436607357,32.97661232971986,32.29207392509201,27.53179574277442,27.649623674189023,28.62056639738763,26.551475514757747,29.369961393795677,29.133316722490786,30.502050471184752,33.7877779886732,30.146700940668712,33.99975921532773,32.36957225019688,36.18065496322764,30.38929262278096,28.861002377598744,24.3946632154801,23.741673973343666,22.46385617641254,25.55843700018737,23.570463106632136,26.896718431102748,30.0450854472725,29.54119167254745,32.80173761318946,35.09532680849064,32.55091861479254,35.03073461710293,35.59446780731766,36.11032850369283,38.426493500975006,40.824070710577,45.082682571748705,47.12595858818339,47.39672914821379,46.13659013557468,42.893054329788114,42.05874754794888,41.18886795835742,38.555113269963556,34.462334804301776,37.01625694639422,31.592535448609276,35.68232408905302,32.033908892628325,26.711209434968822,28.054038329496507,25.456700275334974,23.6297163933334,22.69304346586222,25.65587906244206,26.925380569813047,32.02339878266205,35.63387019580582,38.78573635404579,41.79324819476576,42.26202521912872,46.702125798225495,43.47449483995743,43.90064164932562,39.059385596334636,38.01094910658787,38.53591839599881,38.35989721193069,35.55290754717046,38.1955441946529,37.635349486959896,39.247678566663886,33.22120916410593,35.38680247694734,34.64080843627043,33.99787073044102,32.12324575751298,30.96549718650674,32.03895355363904,32.07287437694388,29.28706059527517,32.16395881065321,31.072153059836523,33.45833703250671,35.99465910331047,37.74667848943103,34.147451981615575,32.882057784580454,37.21996406853355,35.93599424402869,30.470334406199377,34.48014768464775,39.401165529274,34.803407704396584,34.08434711866452,38.00337857469448,38.196276523935374,34.31332164774337,36.00961064225531,33.1896763603158,39.143711782536954,33.67535671378586,35.523335319320836,39.68625427567305,42.000099604777795,46.25142983911341,46.37969200749885,47.86540654492312,46.030070975832004,48.02529108340032,45.95168800288817,47.730366316752516,45.804023697340845,40.4442527328146,42.76024927923807,43.27634006409802,38.93034648717056,37.370709086090315,38.65452099271536,36.46305055943125,33.42662523373351,32.44267456117395,33.06555592803282,37.18154215901487,40.37762503448183,42.0497463020911,45.28642822849802,49.29278265548801,47.35529483870074,42.79889384970753,46.270455766285394,48.26998149116106,43.681172132341466,42.31866857454493,46.24199742144167,45.681076119332296,41.92956013386303,45.53353644598076,47.659084638488416,44.69030905967066,43.69373783185099,46.84678013146948,44.168029768211525,46.00201779494379,44.25451601536812,46.07108511983444,44.977863877093824,39.73078627664063,41.04486882590181,41.37610255493466,38.71684288918366,35.76225675492223,39.38157632013174,37.834600194874,32.91298288424347,32.90891424370058,35.9035555619914,32.536590295733994,29.07239782586866,27.66187011259201,28.033751848965817,26.725023545098736,30.2134465826765,26.638781344763448,28.9552693754884,28.584920556290946,24.469012205064352,23.83710923787867,22.893986929149357,23.392134042742242,27.72522185222214,26.798595939113948,29.469153903634474,28.220557061757393,30.956481050052624,36.00065792721621,38.92499151867501,39.77049591580195,34.857211306451156,36.50318747388884,40.14831210287865,36.72799029764958,34.44414494366971,38.31197891466663,41.525127241685894,43.71478204731543,44.11940406612692,44.92700898638138],[34.59093178309709,32.26200478372115,31.557665018295875,27.497394853456694,28.706749965712515,33.408993845675596,34.04864299756268,38.63722208808247,38.50496740466182,37.711009729793986,40.95428503292269,44.40608837748482,41.34275544744782,39.290082622774534,44.22831132111388,44.981129885365576,40.949040316753795,43.7828503359183,42.735565711739945,44.94066131502448,46.36239004263349,48.994994798973224,47.72158171466832,45.42618671847357,43.338199553901674,41.26482957240102,40.609497848611554,39.29422710586651,42.84851580091424,44.92519218043708,49.16894937738958,49.74075049020969,53.97321590894883,56.024944820418376,52.69934383253751,49.29471469803114,48.688275966285914,45.54350989565513,43.35671295560364,46.828230667066634,42.915046884322805,45.407365193502955,48.92185595155679,46.238978161899205,45.92122199099653,42.46041934995581,44.99998259069171,47.2477511087044,42.76844487120786,44.30174232565969,49.14057032004356,50.274070642902416,53.13054053823264,49.18786084727036,55.25598746207189,56.48008961256621,52.77576039313975,54.83375816221731,59.09362928893834,56.960901660853416,54.76653497210324,57.79027914872154,57.64197269246853,57.52997891370575,54.1012413742424,52.17561083672793,49.561618454275646,48.75573385374952,45.57172808365512,45.926299486484865,44.045065380248154,46.29429434341604,49.122789467988284,50.400774410972105,51.61557430842454,57.288941391026036,55.12042831011966,59.19578373003998,57.16058610387728,56.52119770670595,55.27920781504408,52.63421087833353,52.45637001764426,50.56067388091134,46.77310721488236,47.902592082170166,49.57431718186225,52.764109916108566,51.8481793951366,57.0125703088886,54.72232540699622,57.99094129227278,55.77096333884178,55.14453165963594,50.83550274708191,52.175109086149476,48.18589166187638,50.92126248368841,49.09638012671927,51.88850898620278,50.98382140667637,49.893178147905836,49.44023712231333,47.01267684060274,46.81900833062507,42.539734688559065,44.41938818038707,41.14756696451584,38.52674174350512,41.14531349750657,37.43472829099441,36.89494331831147,36.02472093668495,33.71798919362563,35.303036459775356,32.51122823721691,35.287127199639976,32.3918711200752,37.21712052670276,39.09070417291869,36.310420993481145,35.44659521201188,30.73182654979822,30.766433529327013,31.46020699935251,29.90657248922783,32.23777545504881,32.56590143617835,33.98348294139905,37.65654939399763,33.921145177451386,37.88423573223505,36.63932553532449,40.418487455625275,34.69715765512557,32.98457562601014,28.307629344460725,27.840893089888716,26.51713524721664,29.82747988433248,27.95980876669346,31.533035956006472,34.44840103925482,33.876865785909544,37.27405852722645,39.25632380279958,36.580217831305085,38.78876331251023,39.2395369623585,39.288702049142316,41.473247442924006,43.482142788937566,47.772921799839914,49.30804869898675,49.88523013137223,49.016453368109445,45.96109434434735,45.30687998961042,44.70812458396216,42.25048042155267,38.53506789358907,41.237486660527836,36.02924919303614,40.2881053101793,36.837484677797555,31.589448394744426,32.93501296063837,30.4855323798299,28.42428968547256,27.42323668993588,30.250673430054427,31.429724655680882,36.58805528316187,40.118555219379914,43.16636723511988,45.98772675122915,46.297971802518674,50.88400606684619,47.90962689802128,48.31826514368451,43.67967165135799,42.2727523305834,43.06681225803942,43.05569299443112,40.297107615055715,43.115080748201805,42.526527491497355,44.318244357929714,38.29189227236609,40.52059226325461,39.742121028079936,38.996171953514434,36.97759759065871,35.61409650294784,36.46817639682465,36.195367596220024,33.16213071233425,35.698828047476354,34.123419129476325,36.540237866203846,38.622402225964706,40.3547096000387,36.783713769645786,35.078349930684944,39.213870350165664,37.85595823285977,32.095620227653285,35.861959848818195,40.803724885024884,35.944592638524924,34.85097529718498,38.628219740551835,38.897477258683196,34.659875743784255,35.982654137616855,33.34413007315864,39.2441083745601,33.78379071057983,36.194097116602485,40.242419962077584,42.77375425104865,46.67309980298286,47.2358754572202,49.164985343509635,47.70529056320342,50.04101517197306,48.31102278169018,50.193810538040886,47.8853506163923,42.722213837001256,45.44472975009436,45.78517604195131,41.2585967446088,40.08854075863184,41.662547239372195,38.98587270605579,35.80271315262403,35.657708750408844,35.80313467793041,40.40681918412132,43.42942928601552,44.70803477848273,48.14840472639385,51.90349095859722,50.221922195487856,45.544172204596485,48.54148020234727,50.67855059031977,46.170186217025176,44.39721172975716,48.089385945724,47.4532019553579,43.507215196683305,46.95367074255064,48.91833311430396,45.74084631804552,44.59160227041552,47.734948150039756,45.17326637609061,47.35846102375062,46.0351557368559,47.81941880233792,46.20994941102234,41.13384199786177,42.86174594120125,42.76119993765626,39.88630846564688,37.48256692136687,41.01030044573476,38.84382548052452,34.09284028452854,34.680891509961,37.22168156356601,33.31969194724161,30.245206684577493,28.614387246141803,28.366292050604148,26.545046660013337,29.922826882534554,26.708786512892527,29.669982317962923,29.349837875104413,24.839783685415178,24.79678643980108,23.883209168928623,25.15952871180087,29.647827679836656,29.195803042692773,32.3625488548863,31.149510731347267,33.215924710694324,38.544176690324704,41.159100953414935,42.17663305189276,37.139328291376316,38.212547179965,41.86109457549841,38.70998319563585,35.80115183741427,39.41387830086222,42.39662188723359,44.57199864408607,45.012691457209364,45.79174061963327],[37.00000993604667,34.5127205796937,33.42349853999993,29.885151443743958,30.567688810866805,35.82198999471744,36.512890682905166,41.03503193952923,41.34199826194423,40.59452319215076,43.98091551898081,47.258921369701895,43.9974449827181,42.30543224463317,47.17117287429894,47.66245108399407,43.559845351165976,46.35979654087713,45.26367419019184,47.12288604610093,48.48315457046387,50.79356370693836,49.59270677352092,47.117423494141974,45.0338330853354,43.32124482425425,42.52471422814682,41.48312515368049,45.12211402936028,47.19930104378948,51.81985089171131,52.12355673972361,56.47892273503046,58.44588172233182,54.92028383902398,51.49984678156047,50.65331592534072,47.349926966836435,44.91916488258234,47.880009009963956,44.07434296680171,47.05036306637293,50.31282900394285,47.42929754040208,47.05761016716434,43.45378125684259,45.71629385745399,48.04188055446194,43.59933689517606,44.639483972198605,49.617223874612776,50.60168139763941,53.68684826964568,50.01129903085399,56.15087008601106,57.294172603749665,53.82010080905477,56.152317552340506,60.2734423823873,58.07020010200772,56.26451991324193,59.57161658105404,59.64985657016907,59.57977303834419,55.97740813551617,54.12626552290942,51.92890137457907,51.250328078728444,48.34951211371312,48.89341787238733,47.1396546148121,49.55352032961304,52.199032415437216,53.242510904020875,54.32681550353129,59.86838089795022,57.38612381545558,61.458650635872786,59.17218358461237,58.24927840546957,56.85677859189451,53.894845206089755,53.75267271664202,51.49171023969724,47.77944436543269,49.32643975704855,51.19655419557009,54.51852771994614,53.87413570055911,59.20850194830871,57.17422979010146,60.641055657979976,58.542570648193404,57.92018417367158,53.663433869185,55.22575918810712,51.27695455608684,53.66384546742135,51.7618675609319,54.413598524243504,53.24944406488082,51.844326836094375,51.22597442344464,48.52611094421456,47.82417083778135,43.630422059426486,45.135842330012224,41.59452315338956,39.22850552120478,42.175207145601874,38.83302502993999,38.46160926843246,38.10817770610039,35.76692458071541,37.77597123630769,34.951687946396504,37.74930414872877,34.80558958947278,39.784743733946094,41.783153198190426,39.21819075127347,38.389851112539404,33.62560266440234,33.51963142909922,34.1293147655344,31.997655466104824,34.09537884056665,34.027260391568795,34.99974954968514,38.399770049712615,34.22561908730624,37.84841981039822,36.550811720950136,40.69287061103229,35.09050834503261,33.94353733497142,29.037368982468116,29.142199046104885,28.288106909589896,31.514592922069983,29.816846993322372,33.07365797788467,36.303425302578646,35.70229254862064,38.89789275854281,41.179948889943624,38.56874345459056,40.861795497448895,41.14426592811883,41.50506923415751,43.45109655626062,45.841203765091386,49.90594496306244,51.78399591105208,52.45388391078444,51.33494380958069,48.29920318651945,47.29156181637223,46.77732542306684,43.85743965865497,39.99848963854741,42.856935070494025,37.471808116410976,41.46934956442088,37.53161831606374,32.277293885715586,33.071683764553946,30.243666147760376,28.188163755410415,27.84663984821598,30.665246377791437,32.36911785139586,37.40981788067585,41.06479544641651,44.34150191912818,47.23155706293803,47.95825831080511,52.23787882544782,49.05661808371167,49.237320049997535,44.36524459996508,43.09940018074986,43.31949340620171,42.990270225822734,40.457041403872445,43.44894185507561,43.24347268734372,44.569754019526265,38.59042527421915,40.36225568574095,39.21838046214716,38.796228601807144,36.44475744236275,35.13597399199387,35.862667025810296,35.35161646008551,32.747592971908055,35.22428887535766,33.84397847487461,36.74602376646934,38.58418054448456,40.789641877034505,37.45839722909197,35.39875793261863,39.571509364708426,38.753941516093924,32.94136243305928,36.402752649453845,41.63925181061732,37.242743623099194,35.93706065390582,39.65255785090795,40.4014865256279,36.29327773116121,37.21293629710143,34.30497934761694,40.00042095201313,33.88431256643851,36.3500672331901,40.38704108713345,42.38686675247399,46.32042024824881,46.550831107400725,48.6675159499143,47.125521095900716,49.40972233037491,47.89639412589853,49.34063956124635,46.90218762472271,42.04768265547999,44.63437238746009,44.48883473716232,40.07161926460974,39.11464139834878,40.353355042919915,37.357795817601776,34.533624903322156,34.58804968970954,35.20629117461009,40.061399827167484,42.93105670459801,44.50355485018291,48.12449903351344,51.995668417023104,50.592888418375274,45.84131856675732,48.915732496510735,51.35342190953404,47.0194446017545,45.12883029167749,49.02508290846768,48.676598473982054,44.66867772009325,47.817629697744906,50.059422494573326,47.20126347963878,45.66100276444932,48.56892912169678,45.77503225471215,47.71702608737252,46.325075277046004,47.71825972795265,46.21290364457504,41.366808568836994,42.65529259847729,42.33032282542971,39.66864749562469,37.15265720050405,40.12422391547021,37.97851753105973,33.576722985622375,33.779752316693006,35.84700467487782,32.20250314350936,29.19654881684363,28.215412459096484,27.311453800307696,26.021290790485956,29.87579308827005,27.215835955648522,30.272100686016337,30.6363368037263,26.043351896026415,25.534935058446898,23.952768762782565,25.139501506569264,29.68410940458,29.899899466965714,32.83032318958004,32.28130974884508,34.52700130672169,39.79281015293096,42.4111822573029,43.81523572402976,38.83146987295297,39.842886842199704,43.73356663518631,40.88241460663555,37.972469776317894,41.39582119188724,44.54699911041483,46.642426976255855,46.947788514739,47.80251287751791],[35.34546718376095,32.6305542940329,31.106482093983665,27.70002173607266,27.830608160986948,33.3859099840185,33.95056179156788,38.39470479112383,38.97309186219129,38.20156696203683,41.68324394408437,44.816886999487316,41.41153573137607,40.012011100409914,44.81125459722367,45.105667018818735,41.00987402678864,43.86004966721182,42.90585620539885,44.518569620465165,45.99790560522657,48.18375074036226,47.172798871136465,44.695026917288736,42.45251867632801,40.8455433516419,39.815758304568035,38.80480573008507,42.40698001859647,44.40236158785386,49.28183933118931,49.35116464198249,53.774768120117855,55.73256459344683,52.096354741527215,48.72457166953431,47.68849177353017,44.424595034213404,41.91107215626753,44.71291961479929,41.06980429514494,44.248174564531425,47.44431659777494,44.589104517216434,44.39572705537517,40.80918057613743,43.07949515237976,45.20667597163149,40.6688125495328,41.59710255650687,46.557164681909036,47.410479209866594,50.52628776111135,46.87070408668116,52.9736075062285,54.23853925037847,50.877863030118434,53.173264825465004,57.2968320900103,55.23368991551814,53.515198721015565,56.886192133531,56.98355629739494,57.10433961575045,53.42906377166012,51.46891726103347,49.54548721766308,48.80519629735308,46.1620539309087,46.72038250116162,45.14068957084012,47.75831716447457,50.16620575769677,51.141063264288725,51.98430141466268,57.48285241833105,54.79199997658859,58.79535524801836,56.369610106660026,55.34791871300381,53.79611053064866,50.73522865729046,50.50784323856026,48.148267262279624,44.49377986561204,46.16598838855332,48.195997991900164,51.48651729890175,51.060481640423475,56.42169870211202,54.569251883955374,58.18724762347665,56.11683543904654,55.43759702385025,51.20664204354,52.931101713375696,49.01548857922403,51.10927613519633,49.15485944358685,51.729398087186574,50.380989914401425,48.828701131211346,48.111302550916584,45.31195702653846,44.418376571323485,40.27879403997914,41.698395478058785,38.11202634334896,35.872873932461964,38.88009120364755,35.70211886135073,35.31030938087039,35.220306606446705,32.84194149390481,35.10420428056033,32.31214096163846,35.18059919223164,32.33624099857697,37.530014042416134,39.42879435576801,37.015054580022,36.121216203380285,31.35214698097561,31.07709639567736,31.61653948334085,29.12534890577034,31.182440781114707,30.863452159318076,31.69006949464631,34.95495917730317,30.71668337014671,34.27430667781984,32.9322765215182,37.121264426204576,31.55022715949441,30.556404097872736,25.612986529158377,25.907634826717945,25.304434935420815,28.517518612367837,27.128347456981135,30.37521775843111,33.613067878169055,32.85381134272158,35.949347691021345,38.27280355928085,35.66573610918259,37.940076908197945,38.1173834695987,38.6599381583096,40.5108291127499,43.1341128345767,47.08797529197553,49.237732060952375,49.863970272725325,48.550064749464916,45.504564486866656,44.31019494787397,43.816749046764016,40.6843876300191,36.78116643771267,39.741568593371724,34.348329374671415,38.25734679868308,34.190305344453805,29.00398808242785,29.59673106377171,26.808044700574406,24.629587827165942,24.40612687817286,27.171331126046244,29.025444908751144,34.017423556805554,37.689744129635,41.02995373515874,43.911823853009814,44.80974120540193,48.95404862691944,45.737037771132165,45.822088475112956,40.92489178275636,39.64917595773497,39.75132218485955,39.39871476580639,36.91783158987293,40.034622517442116,39.97684783888574,41.30321755167103,35.36248950228469,37.0595873563704,35.827147684269804,35.32291103671702,32.87350055405408,31.510331276369378,32.21258888473434,31.71591022413355,29.147478030794026,31.693158423093884,30.457524323789308,33.38935925924253,35.36215531817664,37.616244237411166,34.30858070383362,32.37435006814826,36.636567107605416,35.91408924021759,30.2271225180349,33.7660247434291,39.022716489813845,34.819908618893805,33.67147795710775,37.45290154773291,38.22945798845932,34.33444591800294,35.40288657776629,32.361561073526595,38.070881980322326,31.92060711004159,34.06183059569695,38.16595975240978,40.04637234405119,44.19070477727731,44.18298758323253,46.052187955882964,44.32097785563654,46.44777132790804,44.77862636976174,46.19307246031583,43.92603822228393,38.96101998828693,41.389762683796725,41.35089911589579,36.990642853416155,35.8564651310101,37.01967133290079,34.24058297756009,31.424730311140273,31.15386891789975,31.922717885654045,36.62323239658462,39.54696399747712,41.266420765123655,44.82264001197423,48.79338597791735,47.32068656898567,42.60412164026998,45.86671992258302,48.28090797790664,43.94195534560562,42.19671988095971,46.21648412782243,45.94426555702715,42.01447964996654,45.19483194299973,47.54833613260571,44.84182306675951,43.32161465574174,46.20897143869648,43.33392298473058,45.08168708011342,43.48236183881706,44.875095719305605,43.62598117364596,38.69893621780129,39.77421420927519,39.66105589968313,37.10672523458928,34.30969441813371,37.346407011959755,35.52328679933052,31.003511336133634,30.918816576367142,33.26709206105361,29.88534474294723,26.643796271876095,25.754110460326892,25.24987718290084,24.245059921391892,28.16022955819282,25.285870955238195,27.98300368508136,28.40603342476161,24.015748357968633,23.133554642203716,21.475202562066677,22.269816454324246,26.751811165485016,26.850313731386915,29.56831214917945,29.138756944581623,31.63653283007975,36.77854022721098,39.503788694598384,40.93483046408871,36.01760853127967,37.22812124905688,41.170632249234565,38.31322141341606,35.6508032122748,39.128007373761946,42.42934161297883,44.51495590042638,44.78355299682046,45.682699763550076],[30.994172468864996,28.47672417405631,27.430091189857468,24.056042867403427,25.024078441079116,30.224070325276536,31.25265598490487,35.78528487521123,36.265979540586514,35.96929836861999,39.44010705807896,42.51770319825924,39.64748590789283,38.149872315792344,43.15494249295288,43.66317470603981,39.882958535787495,43.10670491937856,42.65404217752408,44.47837185056539,46.334113956145586,48.85810008222863,48.03224320777606,45.80944496400539,43.32158012573664,41.29332231585529,40.04903677590656,38.50502100336166,41.79027781639913,43.421948941115595,48.1867202610516,48.09054610700033,52.43555423526616,54.770239364407054,51.28853450946006,48.14968868174109,47.00549440758615,44.3260492331447,42.067703911733304,45.35971185071409,41.95171468467022,44.7964168953389,48.273583708287006,45.759291573270936,45.918036766776915,42.51833987793104,45.11165298958278,46.88525193007048,42.134292204477674,43.430795900815994,48.209562595392185,48.9732133218469,51.8909967292969,47.93297041431077,53.85202503722834,55.50871366698237,52.066757776791704,53.890358457009334,58.235365919752084,56.529199866272776,54.420767465117095,57.469630085665514,57.20537262257203,57.610568533751085,54.094646226100835,51.80001882099102,49.615127770054684,48.46656063720514,45.71248528316471,45.797198934934116,44.26907143323898,46.877560797295494,49.302621838192835,50.73869520364313,51.37708943347677,57.12440617976249,54.64619411363374,58.49335013195488,56.245919088651064,55.54078424909791,53.810345599061705,51.051304396161086,50.3904479083224,48.38963708387047,44.81583603395933,46.10337200964945,48.28787593390804,51.165321283973455,50.84392416892691,55.88815431041596,53.92851482347447,57.475827353079424,55.10505452522847,54.15607583607683,49.74393012164584,51.22287001567734,47.14600052145995,49.345236269908014,47.18880889950467,49.4944016633335,48.736237973144576,47.025751033296224,46.856316782632675,43.883832104504194,43.54975996707888,39.073104092622444,40.55009981801034,37.08364625599691,34.33289786896918,37.232822256719764,33.690161273481024,33.73239460484443,33.23765536857075,31.34490472657713,33.62932275819417,31.196507992399084,34.41246778589614,31.980192345631004,37.36597243447386,38.73384252454432,36.07727747623274,34.77920292546656,30.062003037410847,29.440970540130003,29.51129522523403,27.466433283754544,28.91479869268528,29.251023439378695,30.221137762290777,34.0203985476857,29.884150792834127,33.74023810536174,32.94099766945068,36.857810739166666,31.370420115207832,29.931019772503568,24.80586160671796,25.236566685677122,24.63995168374226,28.219346828095276,27.402705486039366,31.2314841681104,33.960123012369216,32.840966583300315,36.11325522685529,37.871160650979164,35.02520405909263,36.83248139337151,36.77192189134155,36.76178500624445,38.41026082718271,40.65469041600025,44.60409246107171,46.30188219695642,47.243762899768036,46.29392213118505,43.48487207665934,42.436640717087656,42.31945767970343,39.361703222400514,36.01686776124583,39.271131802626314,34.2769697407393,38.474744466501235,34.82174865030897,29.85844243780224,30.564162205226797,28.386281044587967,25.695229092242677,24.998719414705295,27.480845526557665,29.03371391880798,34.12305780547022,37.62010001196646,40.75937705881828,43.31287549811579,43.99996571911324,48.33194802979682,45.55782003043133,45.60942207668779,41.13011352436483,39.21421722967294,39.93092020830805,40.02168163406026,37.53553546526971,40.97898220032006,40.849474122417256,42.77813271452899,36.87046146901743,38.880708449744375,37.746938050135036,36.7043138259886,34.17051129629724,32.38911113946999,32.82918003254547,32.1087579843439,28.908598281786954,31.083620998041443,29.223741810796913,31.85482552011381,33.555459362879,35.510394586099906,32.11836707315472,30.00710348113728,34.085929262438206,33.04384896280311,27.17165425269035,30.693937267349263,35.81998487105277,31.26416534964643,29.972634829629374,33.708483607199675,34.35177875964244,30.227100927329474,31.255977232559342,28.40129548984725,34.1991624381012,28.414770432823,30.796915899273237,34.85391222411316,37.21063795691171,41.15964578459454,41.62076451612669,43.59436740928686,42.15952379020341,44.55557880389877,42.984460181889446,44.814874121913036,42.371304741192105,37.31657088876176,40.173363003942654,40.413629219415284,35.83271324855984,34.834546905858936,36.560031708828355,33.690943146268715,30.417444481857736,30.71899440345488,30.628956849922684,35.565726704102154,38.419890203150985,39.5769149385582,43.18314246528131,46.86058984467881,45.45526601311972,40.67985340798864,43.50550483731869,45.87720087997989,41.532266368935936,39.513673720239446,43.272820501305986,42.83808386181611,38.79450201439509,41.99293660359782,44.131353819677365,41.1859789569157,39.71565169614736,42.70294765116584,40.005569895454286,42.09453371473449,40.81171093176042,42.42170147010353,40.777740438482084,35.81353063997132,37.444373101325006,37.2079657423882,34.37073164391552,32.01032658709109,35.41445291174243,33.197736407039415,28.50129765343571,29.122328911555805,31.593114281161423,27.67069095948865,24.608244192260095,23.03564266208818,22.761626506241853,21.06326525185086,24.585684984923184,21.495525887402778,24.473409073125264,24.622589215747695,20.037354770940162,19.6924638711721,18.446346198651952,19.830463639739463,24.36709780441999,24.46634451524104,27.73108552181433,27.064218778205163,28.891226241012458,34.28617009677639,36.74687853356934,38.226663219008266,33.198718475148226,33.96581233175845,37.865370986108566,35.19605211968748,32.06071877666411,35.38441917987148,38.52833817012862,40.62994706941761,40.96589888696391,41.85350171774148],[35.320090931329766,33.058314146171895,32.340815848979545,29.36121592085439,30.637014300963095,35.80153078941332,37.06676058696665,41.59594970490777,42.088163503493824,41.903536669635436,45.34354683567354,48.43761159133811,45.64928083025725,44.07554353013497,49.09828472879683,49.65632434516831,45.84590466967169,48.99328620531977,48.354370343786044,50.21579914252557,51.897379334814865,54.33125659938978,53.344514433554636,50.99086443590704,48.684878375278366,46.798271300551946,45.715498806173294,44.33289698823663,47.708438724153204,49.41331487469665,54.144983860661206,54.10490921153814,58.44816408998688,60.7537716283088,57.26241874073397,54.07508919688562,52.95702545616175,50.14329634890929,47.80032837236888,50.87827290959346,47.381864668383855,50.367182803598666,53.73257251300727,51.03694304789797,50.95826861359787,47.42569036330609,49.8012068886011,51.85515717725063,47.23141467392865,48.26166756575627,53.17334481259195,53.9572123079299,57.02646071128902,53.25207394047402,59.26209106532599,60.734721537469184,57.34810707691103,59.41348240541638,63.65553992513403,61.74937722052973,59.83247543530213,63.01576775200408,62.88763089368772,63.11565431627393,59.557877632669246,57.4337770633046,55.234302769797395,54.238090832173064,51.38490381517804,51.57130794736188,49.929596024898885,52.40396706451746,54.98469309665967,56.35419164999953,57.17320636549467,62.88157545402256,60.4243322214169,64.33857867150033,62.069925598951706,61.27421522747041,59.595439272733074,56.71153990754694,56.14901813976419,53.98053486084241,50.41416621022317,51.88178402492308,54.04976769875941,57.04187820399604,56.69100622797079,61.81190997345802,59.83403419596938,63.34603726627931,61.01558111543186,60.11784142504998,55.710257802676495,57.139793605596154,53.05201710526351,55.33659287491137,53.16946727974141,55.41134575992889,54.73037132518637,52.91929426374768,52.786648281382,49.69181371601183,49.19370369747135,44.71939995421706,45.95115204522542,42.32003701975417,39.62508175709557,42.72131966045382,39.31295519405747,39.56895529384237,39.17120947328977,37.34259535706185,39.64481072178124,37.17475360893498,40.31550909621758,37.74063322729818,42.97939903709421,44.54429781444185,41.862443913715936,40.66184886407516,35.93832493032149,35.41671566568129,35.49167349383838,33.467740283237234,34.718791845057005,35.05578688171467,35.80355351795737,39.522567219596645,35.0971924213325,38.70005916177497,37.9565880433549,42.117064967860316,36.73691017683874,35.608610560332934,30.36624519512764,31.062828011194902,30.553941296927054,34.06049566001438,33.00892079656857,36.605396660139704,39.563610236396514,38.604786747076574,41.83372232003935,43.76007356752281,40.96108988869129,42.829338136720125,42.74178801590292,42.73062786477614,44.2596860719277,46.48517349214372,50.344185339617795,51.92689759518224,53.043633161231014,52.173228267346666,49.4368570849855,48.33657155852312,48.30384896038539,45.23862355700495,41.88318002976918,45.151079394229924,40.05310450552427,44.13998398660218,40.249052316833186,35.21349683162697,35.679837607210445,33.14182198460731,30.585108144061905,30.33023136570457,32.852534681799895,34.66908400270954,39.69920133513906,43.26291815316843,46.50266149034576,49.09198966405491,49.914429659893344,54.14625380581508,51.28010921715213,51.24165238880482,46.63000679755298,44.808328758069585,45.191743143650704,45.05389352238475,42.717090595756396,46.187697233251335,46.21527379668582,47.77545880729291,41.86084083642887,43.57825784280995,42.22220023999686,41.53400214009353,38.803789703329926,37.11053778792445,37.43671194794688,36.44785902623663,33.59230297046118,35.56996486312177,33.67772423166491,36.6932314706608,37.91849600477857,40.22566670967787,37.075410843878515,34.453667490255455,38.361579877699754,37.71055788252134,31.703722448627012,34.729966806972094,40.02618212031158,35.69547224757929,33.972492618129635,37.47071798981203,38.53160806970148,34.27758620500062,34.64839924680591,31.799957148920374,37.26009370703848,30.992737711626773,33.9017528822046,37.77454398880502,39.78563188356101,43.39313057081968,43.92389659975809,46.445865759004256,45.249064063289296,47.834822225411344,46.72985304528028,48.19894544070252,45.371938793975026,40.81980353683947,43.78793616060836,43.4195001147213,38.87647699952008,38.36839944685774,39.90969108692349,36.423866857027875,33.48246208251715,34.49574758985541,34.597083093406546,39.97349985380376,42.56891254851287,43.74349339530736,47.597459819382685,51.1887285090431,50.177295713528686,45.31172245918439,47.87403302517564,50.55267475732396,46.4257490794188,44.07708395326833,47.793592860200434,47.52136133425186,43.33855549884229,46.15736671366052,48.36323002405208,45.52053797254,43.65407820602097,46.41037889413601,43.64897528394729,45.79145136452643,44.790357697189165,46.014902511137805,44.07307256353003,39.51756807489086,41.05073720304271,40.2655644823081,37.49390458090986,35.50822002236971,38.24317858767468,35.555504973144856,31.4483716042016,32.14959671556015,33.701982682982795,29.653494330226057,27.085234433132417,26.04050046476466,24.493065261086166,22.9050091764655,26.706559570081264,24.616781328156936,28.16641563167665,28.90211043407004,24.080238075519706,23.866737653631333,22.11126934858904,23.953305182457974,28.508064289015543,29.443319326360335,32.7351735791853,32.54387221509057,34.119957369520776,39.559226315795215,41.81525696460319,43.61763510114942,38.605497377081875,38.980744498408534,42.97935471760737,40.66079684105083,37.18096810874895,40.17336552409383,43.19832566613523,45.212235786600914,45.47702006502575,46.368515637596076],[36.42338137277365,33.83521296147848,32.404716520971235,29.913828680141428,30.245412530362795,36.02650159894269,37.14543184484203,41.5201854882982,42.53754115523664,42.294777100305204,45.88927374679571,48.74679399146588,45.64927038242702,44.568097807352835,49.43892552460967,49.633907698510406,45.76163238030508,48.862843856199746,48.247290548298814,49.64794768504002,51.329096460265966,53.394641823973245,52.59353613000182,50.10621807342656,47.71981206218676,46.21752172019175,44.8879999178328,43.78159513006247,47.196445812822034,48.86728455593927,54.051408233259984,53.660931559685764,58.134816287197964,60.318128358052185,56.5950000993253,53.42485849436596,52.00671732336082,49.06967863404758,46.48338352744121,48.99864120459692,45.719701897823015,49.21118026025458,52.294308620904225,49.46914211142742,49.46180699259126,45.85646061387236,47.99239799920086,49.95844204230468,45.345541175538166,45.889989644651315,50.857216055556215,51.42542077925846,54.67772929881048,51.17083361757169,57.177684933647015,58.645101893315484,55.54514329003517,57.80895978788186,61.90764616879483,60.04089536878314,58.51847158776559,61.970025200068676,62.05518172218176,62.43514955907797,58.695901735189025,56.58290819781772,54.92617599671864,54.01982734552737,51.58614200767577,51.967481947131276,50.54577403253679,53.282527861914446,55.5452664162121,56.6406524197579,57.20319490265712,62.73746760642623,59.88054675993899,63.74015012764723,61.1723574383811,60.066887977998,58.180980677449966,54.97689421781659,54.415686913264764,51.88243405070038,48.43939203045219,50.333460462828455,52.74039674884991,55.82588400491454,55.83145049840628,61.104334777821464,59.47074995377627,63.23671271058066,61.057763779790704,60.154976902731754,55.84366923557401,57.5836525364705,53.58509751967024,55.37592983113336,53.15088025950267,55.263050923846514,54.17460002120284,52.05267728479082,51.65571675149143,48.32301850812097,47.237981573693034,42.94149176810386,43.802403426042346,39.94739596036213,37.6263288881989,41.00410910936647,38.075682812792806,38.39018335533869,38.61791908728067,36.6988379488726,39.460640925995776,36.97432094316698,40.11564208943151,37.56145497765318,42.9991407411361,44.621536842777815,42.2428822512381,41.07393191598599,36.34081222490818,35.64985677858381,35.67669728138329,32.95722891660097,34.06731386018919,33.84737776330307,34.12372997296522,37.43270565281962,32.660835380165686,35.866402312437266,35.02358334608633,39.4789384343744,34.2838142032691,33.760972908768146,28.4218301625469,29.672949949772324,29.69402319107723,33.04067732607658,32.30113777202052,35.57343868345198,38.75742605879792,37.70303173315299,40.6628874468257,42.864433285182216,40.16449176396228,42.10887093933045,41.84765430752505,42.26306461794589,43.5638458164356,46.28062958077862,49.873604437771554,51.97838124149057,53.06885003157491,51.81679690457082,49.06696488313344,47.55590505626767,47.55350005654104,43.99268411358685,40.47330594795505,43.87344838802755,38.66093685147062,42.41915968316104,38.085359042944035,33.1666143929982,33.03964585001431,30.26227971990884,27.687195362374375,28.07293257219724,30.500019164848556,32.81549487513613,37.6338034945387,41.2734649371942,44.716967725039396,47.35813163263308,48.635859912487106,52.48790763138438,49.418299105754386,49.13793314749206,44.33563409025582,42.682348639089334,42.47790431383858,42.042589946871814,39.95373806198811,43.5983379927613,44.03665842444117,45.187420072146644,39.41421447509319,40.67736475056976,38.97672099599416,38.514256040427256,35.47784797244648,33.82577912687856,34.02711521153591,32.86219364475207,30.473002498985245,32.4418293036592,30.894473657198432,34.32872268875865,35.47663632374096,38.218305996429756,35.31401169757464,32.55943876125755,36.55913763928189,36.45551911394254,30.598031909947203,33.425678255554885,38.94511832914972,35.21278994315576,33.508684002483676,37.0012631172579,38.45050759827397,34.549008965927804,34.7745213058025,31.598582516742294,36.86119236612406,30.04559271792826,32.63703536961104,36.54521856821109,37.941839254162375,41.79137304784255,41.7551356037109,44.1837559880403,42.720894817180714,45.08385725978932,44.01231086732479,45.044930556024426,42.288121996156335,37.92653717331692,40.58865392932882,39.87420854350847,35.512465422530525,35.03091388199797,36.16442555226113,32.59838696062566,30.037250557388404,30.92199825952188,31.61718111050011,37.01550034947159,39.51370205741506,41.09920305088182,45.01771088904096,48.8027543467797,47.94661741466248,43.08642313628036,45.90663953469876,48.78994160277326,44.81429922105379,42.54683745570118,46.540429228770655,46.57275660079621,42.45081694486836,45.0582590132233,47.59081659715109,45.166137636597625,43.03380434869804,45.56849245890116,42.544169622874804,44.267469161185964,42.991174947129146,43.872383630270164,42.302240586348844,37.88404719981041,38.797833263323255,38.03556719997422,35.58475311461708,33.21630651313853,35.48160079102614,33.160150792646434,29.288840517830465,29.320237599070413,30.677978661896297,27.17501126086048,24.451599662270688,24.159679055105727,22.374174173304105,21.646284125886616,25.925280998931658,24.139039755856242,27.345673715328644,28.68324258306289,24.081382284486377,23.110295292133042,20.722893993386528,22.062843389713926,26.528436688768267,27.90376032427643,30.735198291422705,31.18560069967345,33.15433392966071,38.358118418368704,40.72016101752483,42.81099251186207,37.945991223761055,38.50180828007313,42.697045414174276,40.57002370168317,37.39425703385024,40.308984484924146,43.594442571181524,45.52846555278254,45.650638207363194,46.63070741244265],[31.27253593975461,28.519935960839938,26.85326523526187,24.41758476494233,24.594903606464563,30.443619967799957,31.628023773972938,35.96330509292668,37.14132976127213,37.09436362967347,40.74245299880372,43.439574433352206,40.50091273575233,39.62386893528232,44.514740268078256,44.658566848332036,40.98780895103522,44.32989712087944,44.1447543630416,45.46636300476929,47.48453695005535,49.674682857329245,49.15983768795508,46.86479258270886,44.18399205039118,42.48200701300899,40.82645261068249,39.40708845689272,42.57797250084541,43.96441769922919,49.26399888230656,48.60285411232113,53.070961013480016,55.4494842396608,51.74563076908978,48.75960463390495,47.14698799592415,44.60867103586749,42.141552517668764,44.8915491284358,41.89212384162228,45.27302187154942,48.498931453549076,45.95502618455685,46.347203470198885,42.91913304473037,45.319011761249385,46.84923768040592,42.01889962353643,42.80410787246307,47.59613612637555,48.02471206359934,51.11963536988053,47.38583002682367,53.22418183535565,55.056574854356825,51.96292921896121,53.8458410712946,58.102674172390515,56.601140635346724,54.84582814666292,58.103471252566564,57.953997846462,58.67466488649511,55.00034065861892,52.57810661856307,50.97363190472795,49.75902613118845,47.490162548458656,47.60032908696796,46.37372385250735,49.277273140893655,51.319056598802796,52.62516071340498,52.850737820474855,58.48203285369541,55.59993986570832,59.29604989381386,56.74600817121035,55.78272575497124,53.68034801846445,50.62842064775467,49.738034321910426,47.40423413420403,44.04351792284763,45.74065763954859,48.3411837777651,51.1328565398829,51.35215712839638,56.43279109540013,54.87583996139074,58.70764078503146,56.383560117834165,55.286473133388256,50.91225899526211,52.65020993027632,48.61396416758366,50.21190655932138,47.85586954772627,49.788488701890444,48.851345797478345,46.58061780875141,46.391670777148,42.9423052863559,42.086996583840126,37.639280307023924,38.56158837722255,34.79279179253915,32.25082955950718,35.55485017185736,32.5053306612804,32.9753622542244,33.16801550592065,31.47456945648251,34.43318113828248,32.196187432894746,35.57432685120375,33.38092221370982,39.07920453274359,40.27497290091516,37.90800984183168,36.460773385435154,31.801667130874126,30.770780183139543,30.486519086952296,27.71434759658075,28.49372038977067,28.4201629964169,28.718221759123065,32.2558225852477,27.575246093175696,31.015991104374514,30.432216418319875,34.684671598784874,29.509599107268446,28.74742346323427,23.303489560091812,24.735408153017886,24.96263408308131,28.491626299133326,28.391312199094493,32.01473743224045,34.828417603662274,33.41653150727771,36.39557153673577,38.25223648074185,35.42435578217006,37.07167846509235,36.609294278618755,36.8682793575652,38.01911349782087,40.716268957828206,44.24456226807737,46.35335373697565,47.511322370606514,46.27986540601836,43.628667466857365,42.07663439682492,42.26168973688302,38.67969606962929,35.44407415750387,39.06890736309286,34.124089570661674,38.00334200587302,33.905515848931884,29.204557483980658,29.077615083784337,26.828942479812433,23.805308223698923,23.854265334515084,26.048660146812814,28.21961166057945,33.064263305817704,36.58974616461022,39.92663658562824,42.3647474287402,43.598105778873695,47.48913589782555,44.67523890358436,44.34536183973057,39.81151604794611,37.75607754719654,37.94336666065654,37.83791303146257,35.718329084335004,39.62214814346697,40.05660151079371,41.69328621883871,35.97133967338909,37.4854055916908,35.88380437955921,34.90556595749334,31.835679879314462,29.857864262145647,29.93386546875623,28.754046575647397,25.84823775872868,27.744731978629904,25.935990990689174,29.10267984163451,30.39665168662757,32.88651263076514,29.845270801524844,27.25907936424428,31.328157887063988,30.97472125109084,25.13215806264222,28.21568006900676,33.64933557089388,29.786982084226327,28.285073858237002,31.911003266062675,33.15997146163183,29.356478905262236,29.922381566277124,26.719276045780248,32.19674299834273,25.707974785502966,27.972028765931157,32.01579630536254,33.75493422200726,37.830347745896006,37.86006988965465,39.924243918869095,38.37168208152899,40.70168142579494,39.35065332510514,40.77577866748345,38.20483209382904,33.44008961903678,36.20589507998033,36.016481411661594,31.509027010077013,30.740930825956752,32.25213456340989,29.057337104517917,26.030904968456277,26.695483321399433,26.913345995336158,32.19619732570658,34.8267448090243,36.201952746623476,40.01618990976883,43.764546451045035,42.71980530647362,37.868483413668784,40.709899400043824,43.433876124965515,39.348304082949554,37.165073151711965,41.141846032116135,41.07866516001961,36.99890450465487,39.80010782791662,42.28080070538243,39.79715919762109,37.8589327318291,40.53532114779559,37.562210850537724,39.312275011385296,37.9285471966747,39.10526028808659,37.62634592839832,32.919710856407306,34.0326270737325,33.59978912782374,31.01893696183954,28.493108034323086,31.350817019697068,29.24141105189438,24.856699345202806,25.03869747476541,27.147972878815544,23.53837046358976,20.44960125192293,19.5864236465411,18.8230993226804,17.864248532856774,21.911533118117084,19.404977399078906,22.266662281597146,23.332479733557307,18.871247746473855,17.760826772316996,15.630241968345064,16.81152607869049,21.33471029867119,22.351508624572926,25.325087569717883,25.602470281520663,27.497394675452266,32.73564615397744,35.1182940986812,37.14635476159877,32.26762461381012,32.880498962052876,37.06270106080323,34.91552889933267,31.81419186219304,34.796802095997755,38.15882862711518,40.1211720093141,40.27285085219141,41.28092086995499],[29.8894629912488,27.53718158727774,26.66789061445747,24.326485044575733,25.629627015127333,30.912937433556316,32.58856104630159,37.005855361604645,37.929713965665,38.2782318405866,41.83222451491277,44.56968634288852,42.145824155694285,40.99803709551908,46.063702680100334,46.496185273218224,43.0487941227684,46.5923150111047,46.62174018470979,48.253365148319105,50.41294938846595,52.8961444190855,52.35143064788946,50.19709796388376,47.490722467013214,45.46646679705849,43.85601027203832,42.09381391441988,45.08641813873821,46.287582994946014,51.316104723996716,50.70194036470758,55.05705498841771,57.70033351962068,54.183875173201,51.32547680599239,49.77307918882205,47.5889803051753,45.34022690349561,48.48927882721959,45.51174330786188,48.55628642318453,51.99631409209667,49.62516429836326,50.08482230319536,46.73586006529122,49.309610903336505,50.79749997222392,45.90978276694527,46.97387575141019,51.689105279063234,52.15625371063551,55.125619190028395,51.204579218339475,56.960034216216265,58.9386466412469,55.72130913699855,57.35394200935783,61.7406352844057,60.35208825310146,58.30732159019658,61.3288162180193,60.94346307306419,61.70395712678986,58.176627082611844,55.629018280258265,53.667059693587724,52.24195494922071,49.71588977793605,49.508708531660815,48.18932041239761,50.931617116240275,53.15919324264149,54.81485084032006,55.08344292655312,60.90343214621993,58.30792348930042,61.94921502600573,59.61228329802945,58.91747727066111,56.81056764625261,54.01610852982596,52.908232396068705,50.864794797701336,47.52610523810697,48.90113124659897,51.486840433649675,54.032793653606475,54.17215785259955,59.02138908207731,57.27047452826648,60.94476934347044,58.40052791384628,57.158083246028085,52.64818647099537,54.09246992246428,49.926658391026976,51.79808374694983,49.33257124028658,51.0931127284852,50.73164122860047,48.43062705938948,48.71541442920345,45.20359793743363,44.85830114065944,40.16363002969012,41.13834435205045,37.49349225546105,34.523075482218424,37.70627301735725,34.3251542038945,35.16192191455686,34.892574539489736,33.59504717369433,36.373782097426044,34.36385259681722,37.89696053585515,35.88483867003762,41.53450425271212,42.47592082716936,39.84633197658046,38.18906757341951,33.58657482206404,32.45876512285344,31.896893974657406,29.72016143575197,30.04966391906412,30.634659233986618,31.10391824675611,35.06457903605872,30.519711666539145,34.13321178353682,33.96337430791309,37.98988482319923,32.907144970989194,31.779763738342847,26.307017070509733,27.673468617010133,27.708063882054724,31.442438689998312,31.419673097340045,35.374025195870445,37.9074258824239,36.40913764158048,39.562629113565364,41.04420402165475,38.07254626947558,39.42130239290667,38.86615147566398,38.60351091682166,39.638817794471144,41.87499480893352,45.4330393496317,46.982483594209654,48.44673583525152,47.639740317910736,45.199008548285825,43.87647673778209,44.33645749352468,41.02647474267126,38.22745759949562,41.95966975522957,37.284682621146786,41.38837196461206,37.63066574598848,33.00944744430527,33.09749056915889,31.13749248880729,27.965399832476766,27.671194552519477,29.739624014072263,31.613627512293863,36.523416861191045,39.913105244516494,43.069105460166114,45.28471428136485,46.26859123986485,50.35280634015959,47.863936293186555,47.56681647466438,43.33035967931835,40.87929843367074,41.518140591879785,41.69154246949214,39.556183297263665,43.56077276373549,43.85671105070125,45.82534922654175,40.09000283275553,41.82320239154852,40.32693953780141,39.128072512422484,36.07909368198756,33.91558505403591,33.838758905211506,32.48865644415705,29.22545415198112,30.751187262816917,28.40046040862082,31.335646314255136,32.20058094402374,34.46537868222748,31.432662602192927,28.530611276538167,32.28868106070409,31.707843516153797,25.65534742777121,28.49304433662308,33.803876474955715,29.602672134365584,27.748903667347328,31.200386187683943,32.44023317962139,28.274908979673178,28.49092947451637,25.546045352587928,30.97873576935848,24.697389890443294,27.56411416358356,31.447242785256282,33.581577108134525,37.230060784756446,37.847275849033956,40.307333079854686,39.20385211444095,41.89545844394956,40.853009622615126,42.537304563438525,39.63621572735921,35.04144767796681,38.256860300491255,38.08066954459865,33.41723538244371,33.004801543947366,34.94681798219166,31.443922989655505,28.17333569748522,29.654443433712323,29.138332920843897,34.72347947404669,37.176998897957866,37.99660617264485,41.91590867407924,45.31661763851216,44.46956096707229,39.5665807010934,41.84592681953936,44.60684150098385,40.600180015351285,38.03407909953229,41.677837252202174,41.47395733596504,37.23500086051188,39.912237426562186,42.14827719129469,39.40688853349876,37.39008512615037,40.08964137296185,37.31362441281486,39.48922445571209,38.59262382436869,39.84350295384776,37.78893441178919,33.246390699072506,34.9430282487422,34.11868081201285,31.255791915983554,29.432464044878238,32.35062979044657,29.565851084705038,25.318913958165943,26.349845066916338,28.088025096449904,23.811360181381513,21.25126042222741,19.860071307353337,18.621710975325207,16.78851193142298,20.50951700818077,18.299507261739187,21.863540068975006,22.82526258948834,18.00453611463066,17.727180147747436,15.921807915641859,18.058178686252848,22.55636543614356,23.845035476801446,27.3529305071328,27.44835483978192,28.553379156810166,34.02625005270551,36.051621356443896,38.164921314767845,33.19831332258245,33.211480351909216,37.32092434249372,35.43939364422541,31.72332352835962,34.42821155563181,37.518222041539275,39.46551285381935,39.66838579488222,40.62811881656052],[34.832745229316544,32.537588296048476,31.566259452144045,29.661920450907633,30.66746946204711,36.19014810429245,37.87306223571575,42.21858622907645,43.34328817723922,43.6476709344194,47.24236414599071,49.93175803176892,47.34866861148913,46.32317020809611,51.32821040169125,51.63412031896833,48.0706702017868,51.485655498050164,51.295992890017416,52.76519920445166,54.73922756218608,56.977506445776875,56.34948256583984,54.003993578669885,51.433633388003294,49.70902683284349,48.16293943179254,46.70069049283269,49.842657815786616,51.1569670216484,56.35331765288013,55.68556873894791,60.108586000776185,62.62383689417709,58.983894810667266,56.04913697182239,54.42439812275434,51.99100607302954,49.54419994306541,52.257390907235106,49.24861154030192,52.64082554909661,55.85925751978097,53.24822760087265,53.50559679795244,49.99672994228531,52.27982747124615,53.997765683963166,49.23229251607454,49.86371860778829,54.729883535283285,55.14255560303492,58.32537448248725,54.68651191167832,60.54238621770143,62.32505468059078,59.26680144760627,61.228685806276175,65.4549599837645,63.87556048350357,62.18034495481955,65.45724365189247,65.30863341141601,65.94936216037956,62.29170697248817,59.92196094967763,58.181588394657226,56.965328427336715,54.522772711629976,54.54214769823493,53.19853721313475,55.94687659930118,58.18525990025021,59.61984119209577,59.96839472772435,65.67168751167672,62.903637187907634,66.60827092760765,64.11137133177854,63.181468819201044,61.06048160712432,58.00251967578699,57.03669513089434,54.66989890052307,51.36943998493823,53.100180547461306,55.73912413680487,58.47645174582351,58.70703105094999,63.73033871766363,62.10658897239482,65.86733690066697,63.454099269493625,62.29194199589265,57.841414611469624,59.40732384829867,55.283126861241854,57.029378295256585,54.569202254756306,56.28700887138085,55.72905517149961,53.26601137697393,53.38524401913031,49.724739291196656,48.938404563273544,44.37651948910445,45.01059944732289,41.14568067591244,38.462317783472486,41.907887382394165,38.88229961772448,39.80529431211879,39.898870717703026,38.50749382510139,41.446509799829,39.315759895711736,42.74284068117427,40.539781892001145,46.14749838894657,47.354097267715666,44.83743582239853,43.333275078413756,38.67827397382988,37.64355399604987,37.18179320603402,34.698602599695526,34.99775177850396,35.25473293883923,35.375148187331064,39.01540598723114,34.12468108055543,37.32527510397949,37.07258650326979,41.42921759588934,36.49236636086492,35.88771577676407,30.34193696103725,32.03239349835641,32.276425184300514,35.85881033455455,35.64854826388893,39.256999609573164,42.131359456742956,40.77594579168128,43.79056491942963,45.595868776885865,42.726658924373055,44.24239340726675,43.65695994457989,43.6495403569683,44.56301507793768,47.03188417537707,50.426578607540385,52.16175375620022,53.68756639532628,52.734120571652866,50.29734017143304,48.76283871752043,49.22447806897196,45.62566763871524,42.65261936318306,46.390451747601816,41.51545686308731,45.38361389608125,41.22048685728773,36.54056045223339,36.23365578731832,33.827758132164675,30.83756485300907,31.155882284888474,33.277337243690525,35.56319096286761,40.346914319417095,43.84542008470588,47.18571526853299,49.504120414842646,50.79218140418584,54.63193796945181,51.924726586500825,51.47380190018821,46.99982297756062,44.788765661383934,44.85220301491993,44.668579414971745,42.74646943917263,46.78374922582466,47.36104977028439,48.81200300941511,43.11902553047608,44.41556697496751,42.60731020544739,41.84002779827101,38.544914874770896,36.531149342447506,36.356743518252074,34.76426390197201,32.07321791376601,33.48692562712212,31.37036449836694,34.8017293359626,35.29248738456703,38.04994209255458,35.34376824959863,32.048362082744106,35.69427174288423,35.71269343864187,29.723095607637855,32.04529130466609,37.54584967506113,33.878233914330046,31.74243891965707,34.955231461962505,36.70143099215276,32.67009504225955,32.30017145058624,29.24240408355518,34.193035285533085,27.29415119992359,30.39036043696813,34.075604606558734,35.524950532983574,38.97094053449084,39.318519040322954,42.193800961945016,41.15678275478412,43.86165334736935,43.23399808114853,44.348704308811385,41.18226553271265,37.163558252812535,40.25837681536423,39.36558921199341,34.88264717055192,34.89775558949573,36.415528900531726,32.37503137227337,29.65806647210693,31.608647105432674,31.6305390664853,37.503449299721765,39.69231969509528,40.77371586711884,44.89552683379986,48.32916365987102,47.869068870284245,42.930018081241506,45.15080012390144,48.24130819384,44.49755191083892,41.758378682847,45.4980946670414,45.57899894265995,41.30146897624478,43.55641861604782,46.00252839965309,43.57659974650634,41.13452779020241,43.505536693181924,40.559614255076525,42.52748297033371,41.71238070809174,42.442627841304244,40.36613836704279,36.288739668096795,37.53149471788205,36.261940673419474,33.67440589281934,31.967246303686316,33.997134354292726,31.035081638390274,27.52370197049843,28.20533867886358,28.972079550883894,24.964820041826687,22.823318606126936,22.403248343446055,19.85625738116098,18.72841177081185,22.88466562155539,21.810906724335112,25.542645528208915,27.237616728057155,22.486833645829016,21.908889503790643,19.43125257562055,21.526273749312782,25.88834056542863,27.968665625829566,31.17640262918325,31.898843024519124,33.09983077934866,38.43184104275279,40.3765352489052,42.826063875216015,37.97051494042868,37.84496009637528,42.08515103187055,40.507710576477926,36.763145252489956,39.2051611614674,42.30629642185662,44.13147669938756,44.205805850565085,45.20311262480503],[34.26284781362075,31.625734161984337,29.92425456292549,28.416160120248243,28.49171850569486,34.50677326192239,36.01241841086012,40.17587067649947,41.764611147825505,42.02344248793401,45.73094438823232,48.17604088644644,45.359182207585405,44.798471394031445,49.639200785255895,49.62248055231635,46.071746918311206,49.4735502045281,49.406315095625864,50.4656975788448,52.51522359411733,54.4711766660148,54.08065237900537,51.68950932508621,48.993481743580254,47.538308939281954,45.71633954025703,44.413044081772085,47.50408493514398,48.71924011460455,54.28722402143926,53.27649592042086,57.786311776621936,60.22241698301972,56.40941968863804,53.54434382300106,51.638435864409374,49.21154396573736,46.61169219132853,48.90833594269081,46.177577373386086,49.92392529647504,52.93178439294179,50.31236475478113,50.74400344730734,47.25614301615287,49.41149130157597,50.91149151368116,46.12206274707963,46.42667808949954,51.25487421754311,51.44685416994848,54.724872350690625,51.24811253436352,57.02255430732905,58.89530588884897,56.08466973768333,58.090763711050116,62.22713647703101,60.790014344487155,59.35413148039579,62.778736359881556,62.743285444936376,63.59385779712852,59.82469594318165,57.393049246947974,56.1205230113131,54.90843349632994,52.86939325500666,52.989870456399174,51.88493905566529,54.880536464627234,56.78357741561922,58.030781932602416,58.081206945553944,63.63349466743166,60.54260285043048,64.14559410786485,61.41755710606369,60.2741649290017,57.9404128117241,54.673845279782526,53.63548115223921,51.033312127055694,47.87144367594596,49.89167438687173,52.757655176898695,55.48560428781961,56.05795020867441,61.13905412027812,59.8255847774015,63.79697851762669,61.490847813558524,60.29153648603699,55.9336825799704,57.7593509775249,53.729931902873865,55.009667599428596,52.496839597086236,54.082204964067365,53.18528412950657,50.46107455207407,50.37915372730259,46.53100515575038,45.30524847329726,40.89369563756928,41.24170493870376,37.229881278293405,34.84663200294111,38.48622831833262,35.87033417120027,36.83937708781508,37.46029332961629,36.03963451638084,39.372247604259215,37.30210089350155,40.74330723110362,38.66921481423047,44.44954335686735,45.589866143049036,43.34872592224694,41.82628866505765,37.22814515401294,35.99545539630017,35.446823079183716,32.393066388091725,32.52342469938776,32.31289606658787,32.03659077808864,35.33776625935725,30.219310617906036,33.112763908658124,32.83963732877639,37.35940102483713,32.62624093693939,32.4815042828413,26.905592974910927,29.09162143522472,29.82851449947294,33.26472030692912,33.483203500761135,36.876167542165035,39.79519582919545,38.28277020230796,41.04840949330665,42.976090171184886,40.18604618476788,41.68556168823811,40.921961021477,41.25498544611982,41.95490924662802,44.83546319338352,47.983910500792604,50.19024882688124,51.65892645650149,50.36659041169613,47.93366508616098,46.055832779823106,46.558737847532115,42.566612996128015,39.535981421245296,43.40145394196482,38.544412909536184,42.1346647126911,37.71013399548799,33.250468323495724,32.44772356510022,30.04192529694136,26.935336405499527,27.700602342150734,29.63006757819584,32.265355311117744,36.82068490646687,40.31838946519781,43.773998890231304,46.0753308573301,47.71939555694903,51.2344697380867,48.43038242478306,47.77501690695284,43.23666646074989,41.08358046531786,40.75791371469285,40.41819740712428,38.70748477404847,42.92939621534684,43.839072363141966,45.089469337230554,39.5656912533536,40.56438435277399,38.51328137139135,37.781258377605134,34.24697671487434,32.185951372369125,31.863656012319144,30.124138706923475,27.71032709122839,29.09465409272169,27.244202131625297,30.954193433526576,31.46342431759888,34.51838323065677,31.989737382980042,28.693311349128642,32.45922160886117,32.87767254274344,27.091878297896848,29.34848399523205,34.99159901725615,31.83260821934791,29.856008595083278,33.121698578424784,35.0870662814235,31.452138511689544,31.16550776786039,27.817088448501085,32.67386273023578,25.445101071890104,28.03596116716876,31.817014161677754,32.81305194312033,36.60172829831793,36.423997468873864,39.023764104657836,37.639978217775706,40.091680668453684,39.34232044238665,40.19918074887158,37.20130839814406,33.1693182273225,35.98343234024817,34.97726683136992,30.606020441169363,30.505615218759363,31.75650612916478,27.789479116675192,25.26991610622844,26.97528522728279,27.425318153641182,33.2352032788699,35.398561037523216,36.82138042316874,40.93728024688401,44.55991380262684,44.12972576786426,39.221299701565286,41.73600116233487,44.91881353867291,41.25662605829791,38.682451394704685,42.676178197372806,42.98385638934549,38.81475934077512,40.98525584271465,43.702551994045635,41.6310939567685,39.08006341295171,41.319690261086706,38.15804135407465,39.720384757697346,38.56300739159704,39.10619075447268,37.46810905300022,33.37838962335041,34.08075350318987,33.01287748661483,30.69584492907227,28.501970779923965,30.326428594337226,27.862283851293626,24.346257401761846,24.365602115527558,25.28058608684142,21.812744990629973,19.310234550524534,19.46661296593257,17.136195201918763,16.87574984610193,21.395470112866853,20.275875252747035,23.446054181414087,25.542845693482015,21.141375463775354,19.788678492626342,16.824612470770795,18.298129101694368,22.54456965729033,24.864065575021982,27.634964377245183,28.860952952393564,30.425065055024902,35.49993240090683,37.5723581060035,40.19797622112119,35.49990855177757,35.6239110259245,39.9894247587687,38.51646330607955,35.15452513791554,37.590602127188646,40.94505124843567,42.7086088044373,42.671518422062825,43.753855981840125],[30.51692864510967,27.82206390034305,26.063959161634,24.724189112295004,24.86950433489704,30.837491318459616,32.49767106063239,36.61882744658669,38.30380605222361,38.7900975181664,42.50590546507821,44.820371100792826,42.22407038073845,41.778430961636545,46.63813264867257,46.629455997796356,43.27994880781942,46.87084309731391,47.137993711040664,48.187133904778804,50.48627504694673,52.5635797487382,52.362157286262686,50.140874353249025,47.24902625437353,45.61242488862843,43.58235304561294,42.01416674642005,44.88614792923412,45.85817715826924,51.44804745764693,50.24764759177482,54.7213008543171,57.33623742527591,53.57732278987935,50.87559785529729,48.842875933314055,46.76971792553299,44.299207020121386,46.812433302552606,44.29556333568895,47.893400851334604,51.021826712139564,48.63333788561321,49.34430373941965,46.000831043545325,48.35479223233991,49.55142795883237,44.62069984106969,45.136030090699265,49.81526955830886,49.919387975777894,53.059270796388866,49.406853757808335,55.029688794448475,57.1734788716268,54.353291090337315,56.05129051747017,60.308459596653236,59.14079971896898,57.50152372225982,60.745026102794974,60.50979221822938,61.59649114387268,57.90753456244281,55.252755416778655,53.96100323239286,52.508497834583764,50.55126348150189,50.43073019005633,49.45350688466063,52.526574956366765,54.29662107657746,55.74069751553792,55.566113705159694,61.19850556676518,58.14621564960616,61.61669270881016,58.94267956613046,57.94554795570588,55.46397361278264,52.35402716352162,51.045414199221646,48.638064569301676,45.55261649911184,47.376303249636194,50.371486152594684,52.839983422088515,53.55366496268685,58.44658550622796,57.16005208939769,61.14141479146347,58.7035530849501,57.344921388385366,52.933157073163954,54.703716535394925,50.64003677743676,51.814979239002106,49.190839091529384,50.59829698015312,49.91593613442835,47.0653645281741,47.22573056744322,43.273012587142546,42.30010671896771,37.737586319783794,38.11353071143411,34.17895373270272,31.550951413318025,35.13251359139027,32.38927557884302,33.57958260356254,34.11909636284021,32.963014607942696,36.408976378225155,34.58054745320118,38.19365690105428,36.420898017507604,42.33295691466488,43.132227708312925,40.871017455057334,39.124155092309906,34.62769376563388,33.13657669433373,32.302005165444506,29.317842801089938,29.06145033479918,29.06971878662971,28.79854977679967,32.33190306248179,27.29208202022844,30.36281632634683,30.386876001061694,34.710265915892364,30.05096780502229,29.69775354220666,24.061099006556837,26.413235661986942,27.29781522861142,30.85931518549294,31.550190797452785,35.20064858899339,37.799393140535656,36.03239931960985,38.8156961477259,40.42747833380365,37.53898615574611,38.757905930875395,37.81962852878159,37.94707968743444,38.48327898261725,41.270741423390284,44.34139295330591,46.45563342771202,48.04449463855849,46.842340459890394,44.53776590823429,42.65978637736459,43.36327122097093,39.39541206921003,36.676835253530854,40.71708241190894,36.12857664033207,39.81437381670281,35.63011230018245,31.379287063466858,30.596022372367408,28.631194742010063,25.204271516840286,25.694074551064848,27.395091813984333,29.87404315141067,34.41825162895793,37.78918193890187,41.125558565168205,43.22773005619696,44.803738622804445,48.365281481224486,45.80713571478936,45.11551438116422,40.835834786360316,38.32001000769962,38.34785361051077,38.2951942868829,36.577966388266894,40.99439179951256,41.88278266431318,43.52116485711201,38.04950801237101,39.25733660884392,37.29673858659087,36.171528254595145,32.62463575609722,30.299543213007144,29.840467141637284,28.039685244193826,25.18094089234709,26.399610904348243,24.219407200690835,27.71336828594358,28.202009618471767,31.053247497157333,28.447901182390417,25.157620665754685,28.913570327435785,29.14103833968644,23.31063742618547,25.667309903870137,31.259000608036295,27.97307886064266,26.045709141463096,29.372451005606138,31.233272470912492,27.618739682438598,27.469099840057442,24.118735630054204,29.124443811422577,22.106245583313136,24.585820008182417,28.46225348407154,29.79779248178581,33.722685694235984,33.70782910327249,36.097888664561296,34.72224572395844,37.23371676131593,36.341210865858606,37.54485826341992,34.60586026718788,30.287549785660623,33.289396948271836,32.68491070674819,28.151090846182548,27.910916651433535,29.548592781047297,25.799772307393578,22.84314239737562,24.593315383773493,24.506499833823057,30.33430269572766,32.550797672425276,33.70109451335925,37.776886191106996,41.30466356412956,40.788237763023965,35.86513761352944,38.27923000029508,41.3689731723686,37.64907283824139,35.04306466013355,38.97052108728522,39.19567628103381,35.016388502100895,37.287940739293624,39.93637682164979,37.78163374709713,35.33343149677955,37.67536784969737,34.571480986481916,36.23540321293949,35.092199987184436,35.866988169360994,34.17293963739447,29.88811629452747,30.85130522768312,29.940253766172418,27.45701692804902,25.2775891178607,27.573615070058413,25.11766190101142,21.200473803992473,21.524963922638356,22.96729718402953,19.2367209986823,16.526020650583334,16.116614526803815,14.463330767201716,13.847640687245393,18.194431163794167,16.62132251875873,19.69835300377133,21.682505990633537,17.331853553782015,15.963525217435606,13.128357475096985,14.734513271359038,19.026229075999364,21.25497435242125,24.23696403977549,25.379494506072387,26.69502351091461,31.83596141445664,33.839482344378865,36.45534125459413,31.757013135167576,31.776733092536197,36.134829332182264,34.73537737459045,31.315842930082262,33.70474111503599,37.04527964863568,38.85040284968505,38.896529538587004,40.021054963356164],[28.370773672850977,25.374081474903512,23.064631289015967,21.52390316701175,20.958365996475873,27.18685688521188,28.546587710679965,32.60882814380419,34.42103452211957,34.7492327837346,38.50383979350637,40.75077592043077,37.96825224258133,37.713633714150625,42.47240098845903,42.324775972984924,38.97135090203171,42.5576018739453,42.92813502686437,43.8281108879526,46.2179104547409,48.256144756332006,48.19573587008634,46.047240741331564,43.03447604911984,41.41002379981926,39.22990662280745,37.64602020498212,40.46308536764336,41.39846912524449,47.100889924116316,45.81293316645927,50.316246095094755,52.87953611672985,49.07579245871254,46.39348088198529,44.29721239305727,42.25280114287777,39.783941918777614,42.3097920184078,39.90014172332053,43.498708780331256,46.62544416653553,44.33465905787843,45.21079144769959,41.961138200039834,44.39972578213609,45.392042675372664,40.40034479486049,41.01052474006229,45.58442927134481,45.65844122966646,48.70972906190205,44.990917942343515,50.55837535545152,52.80271386189796,49.993121187304986,51.57750419692968,55.863588427136236,54.821090595265616,53.135718889504574,56.341326764899236,56.07445862719462,57.284558112622335,53.59602761654442,50.8570989517808,49.702609216571034,48.19631242111018,46.415735357954986,46.3053483599633,45.45823530262465,48.65161943365367,50.23689229155926,51.62514532394094,51.292070975598655,56.8771138201864,53.729748598917126,57.1502338202223,54.43043307130436,53.42072000655331,50.88895113143183,47.79360013011974,46.4566495885464,44.080617288330984,40.99323293518903,42.78969271450031,45.828403262746626,48.2646669322779,49.05048546793996,53.937198833395925,52.735324918369294,56.783290084055594,54.382111159330314,53.022612561603765,48.65935308897325,50.54755673462699,46.54578145036744,47.547414496035096,44.954720493082675,46.43216204063423,45.528090722486425,42.72586084342193,42.73054656329266,38.845212963864185,37.8226916092885,33.3007777623734,33.81813961717646,29.929355711518895,27.3640329759477,30.885310421988827,28.157914262190793,29.13686882987197,29.810588530487802,28.54421917956696,32.10296230395285,30.298529761873816,33.919629519874235,32.26809997251485,38.257527173911726,38.94710558114885,36.82246802996036,35.05800896548125,30.62709532360726,29.03734812535803,28.210712091357685,24.964849797772395,24.844822890779017,24.619736277178017,24.37411126381733,27.864255495528738,22.908046617261277,26.154289108159134,26.050878890387573,30.299219018156908,25.52433720078276,25.0981800783209,19.465602691329288,21.85809579497799,22.907365720477422,26.430267453722667,27.423345186559164,31.085682060495763,33.544757559032355,31.65213231310811,34.366749862557334,35.93864334998152,33.06509835328455,34.27927142578452,33.334798543103844,33.62560751228462,34.23118302803895,37.19871401674514,40.30582108443359,42.6813281927448,44.06668642264937,42.67337928635121,40.268196506959725,38.32839989346023,38.92173521794625,34.90459805317185,32.093977298191035,36.141859184898166,31.591593562979227,35.26057590982798,31.141044343595706,26.99164144750919,26.221922356183747,24.50748457316302,20.93020759690396,21.252743136485844,22.8709369216474,25.30807756774015,29.84356477881007,33.20122640175868,36.52865518792447,38.65109106300339,40.23504214581162,43.79125792632953,41.215708457670964,40.55547959113183,36.291272000695535,33.7741908918119,33.913316917242014,33.96446778573908,32.15358763869566,36.58250087887568,37.43010816502472,39.24062921229897,33.83018327805583,35.154570420225035,33.31916080321933,31.95535711426917,28.502433167533628,26.103562106652838,25.73134004163478,24.144612283376883,21.03782771854993,22.531387117550572,20.498420463502516,23.819076699682114,24.85311803328643,27.526298630308027,24.699218342303958,21.8851378835632,25.943188329466313,25.938958545576572,20.246994339315044,23.12500803921599,28.646521437807383,25.298004667196142,23.842696999899424,27.420628332386986,28.949630014547562,25.577531430352554,26.068881514710238,22.65359104616563,27.92533645378552,21.33202427693312,23.112482062001888,27.18981893834665,28.70755926595258,33.03704390192779,32.78798569574038,34.57918308116764,32.863262229232625,35.10372659439558,33.70469238094345,35.149507002535685,32.643137481979196,27.79173542911611,30.577894646247408,30.510622011366127,25.96182581738315,25.150272743181993,26.84099635845638,23.743141341062483,20.52191090792303,21.347552934756635,21.310476034041706,26.742514537248688,29.263130865766197,30.585312553197934,34.45618405317218,38.19445564392341,37.28723683097623,32.41250861372763,35.24383554809513,38.09180740274985,34.15285586962064,31.916526446230392,36.010015401955435,36.15448053215463,32.12024922975761,34.74374954003936,37.42057857365738,35.26672025003335,33.154900215098245,35.67999222177031,32.56809966374898,34.056739505750244,32.515937558245916,33.59994617342924,32.33947967556933,27.63518991324572,28.494759730144153,28.20115161194309,25.74635323083953,22.972855860510254,25.88535651572165,24.09957350496636,19.575230749415635,19.51542154677282,22.000966002843917,18.652398571811847,15.274448733375431,14.510388815834954,14.445956312305583,14.034914711294155,18.048887379378083,15.468172611459988,17.708059831179167,19.263021237930293,15.297848894247338,13.406296376891834,10.834610321978051,11.54046383503259,15.933739108013132,17.425929333751846,20.228998189418046,21.16364322822371,22.94919677499881,28.001686001242593,30.289227378780005,32.68072098013492,27.98275030072947,28.4875568721231,32.81565631257005,31.104795904449382,28.135910850871333,30.844219855971325,34.366679893806364,36.221009537763265,36.268275816206234,37.418808263818846],[31.44259225176442,28.55038348698971,26.13213769317382,25.57409558658436,24.782752376313535,31.089095112709902,32.67086926580991,36.47510006639218,38.71218854883573,39.28132412282149,43.06343452302632,45.028352211930006,42.32394655470117,42.423325473835305,47.061772378820876,46.713631975732795,43.481857674622766,47.068278514146584,47.527021142279004,48.11865965697363,50.510051251847905,52.26539117484833,52.34235138274478,50.10717344561139,47.088556446917984,45.7565065110582,43.419631756708434,42.009256706949,44.740847740207,45.51681026651554,51.48085318155559,49.83686978000428,54.36240687303528,56.934742243825134,53.018827945908434,50.467822345144626,48.07745587426329,46.12422416931073,43.51967560008662,45.510413386245034,43.40338818868818,47.3812455532438,50.24065975052207,47.87978936812288,48.79816024982921,45.506438779118085,47.6789004362244,48.61995966188739,43.702634085696054,43.78902811962108,48.360727951682236,48.19623961767219,51.403400887279396,47.99861091264775,53.464133428393396,55.735072592267215,53.24822780096629,54.96225674067332,59.08971261558761,58.12240404223462,56.796317101817934,60.17743866681197,60.04931315820968,61.39844226945202,57.611164640144736,54.881732532508195,54.11775091870853,52.64477369109098,51.14334386844702,51.08200455120256,50.37487047471563,53.66814988030016,55.078023232160206,56.3558489121247,55.83710568400896,61.29128424909654,57.906200459518935,61.21569153249741,58.29942303737066,57.08004268686267,54.321104728895044,50.997786479137766,49.53466465897536,46.86906040535443,44.016576439949404,46.16545879378424,49.458727613044324,51.83459624935657,52.99394637558489,57.87498065361783,56.95887035074825,61.14992821687322,58.806303384004856,57.3683132689214,53.068444025689985,55.07319344367372,51.12593176741039,51.75627673869642,49.04025808976043,50.170714992190064,49.23320280435447,45.990241601814695,46.03915191364602,41.785463296238134,40.30971317727777,35.92112247948182,35.800105297232285,31.685722937108494,29.405738296417532,33.24909894872896,31.0972468250721,32.53337600807292,33.70693163410371,32.68257912157561,36.573224801589326,34.92375947374085,38.53591476855954,36.98586809981076,42.998537618913,43.666308560648154,41.717045885592874,39.927142654795716,35.59278002501483,33.85974378871591,32.84137193605534,29.307468223019566,28.605640311266633,28.14785881917323,27.267138259974672,30.353142871765407,25.006094334071697,27.53483284999037,27.73400200526093,32.23188729867545,28.020178907575463,28.324269692585336,22.734633150175373,25.838791873016724,27.379063396348123,30.69329486834807,31.941763414427633,35.28497583759696,37.85942419807572,35.90789176376952,38.35138203058931,40.02483196845988,37.24716026476229,38.33746804409033,37.1118281181987,37.549520911639,37.69597871293392,40.878891909672255,43.54809097718777,46.0854717681788,47.73036271563356,46.22564926613186,44.04215438984754,41.754070742940016,42.63096466349511,38.20152435497087,35.587468716347885,39.812320800653836,35.38060573152783,38.67201754210559,34.23158800830794,30.39127086387133,28.903008158120493,27.027607383181124,23.457771262259634,24.574895697808284,25.896520930190782,28.80213364766446,32.933950273964726,36.22376282712019,39.65446302332945,41.63386103119683,43.66477712772454,46.76549101352979,44.18717602993554,43.18540527360405,38.92884815242729,36.3844063882746,35.91579995695439,35.68901209708107,34.3442233708527,39.058740842241065,40.41142018169271,41.77206575599075,36.63671955160611,37.398241806839636,35.10646229772402,34.0087482802917,30.093866576974527,27.6456883938891,26.847351096019317,24.665719509801864,22.225667813646993,23.1306213628583,21.169564932625388,25.093637417917556,25.272366795271346,28.593745455672245,26.401469929269904,22.888634540689548,26.58048368920733,27.495359364705006,22.050988276879178,23.95513809658837,29.64484166507905,27.20049501024561,25.322458670065068,28.476162053914628,30.75816290111569,27.698063295069325,27.339662994527508,23.775509964996328,28.298114961247745,20.932527560322473,22.888825119701604,26.67349798017642,27.2734966535504,31.424458758511765,30.785223458742223,33.031772050984216,31.40538903452051,33.7025468331566,32.90002394771633,33.67742704182172,30.772086999720603,26.691541610335445,29.44988978613432,28.483690675130152,24.088992613363878,23.98080298788483,25.317784665577186,21.384866036801114,18.75885791528592,20.719165428422656,21.053091832387015,26.990588163555817,28.97798222377479,30.433117926143275,34.59569664798666,38.234128416953226,37.968861454226534,33.08325112905408,35.62914745226857,38.948707996931276,35.49589296141253,32.92484359009421,37.055649655150525,37.62729425898505,33.57528145256101,35.50757410386139,38.46425813631483,36.82298338171621,34.09587594979421,36.12406942726312,32.790964224349054,33.96966055170553,32.58457613623873,32.95507603675509,31.65264029790535,27.624673073001837,27.890020698351957,26.98037192036866,24.8991208108395,22.35818175923483,24.071422455694847,22.06438984809371,18.498879118856213,18.0297961181969,19.251901321800663,16.22476947859945,13.365163292243029,14.04799923490047,12.252172758158446,13.016927314223732,17.55708568218332,16.538626550235353,18.885269221959014,21.572150606415555,17.894629922482952,15.701548516312595,12.230200861664947,13.046098547054225,16.85260118483216,19.803698632241506,22.16931020324725,24.178715548645073,25.666546352021196,30.375270514311325,32.34108591539756,35.32682913257891,30.925902986678967,30.99329212798478,35.459567647788674,34.44435969514058,31.35882173409673,33.486653625154005,36.99513545791342,38.62893556595321,38.48734020500155,39.71537743093204],[30.47988847192924,27.31992985829411,24.249098172287567,23.848147218761785,22.102074682178486,28.660540167539445,29.932417964211574,33.5147385166238,36.05100166951688,36.504662182744084,40.30861803158321,42.07496765683608,39.18240532224017,39.645330984376905,44.07943804345179,43.48754691854954,40.30964385949393,43.85643364932219,44.455702079492205,44.74284322294757,47.21928559880043,48.80765316386921,49.09646294647384,46.917551190010954,43.77485047928068,42.590407378429106,40.03146315432812,38.69518205049694,41.31722255034187,41.99215031590196,48.16349141389411,46.2944654539303,50.84657973986943,53.3419854796854,49.33958105442262,46.86502439797009,44.29416298835637,42.40415860733324,39.749720286866804,41.515926055576976,39.666058751015754,43.79292669067537,46.52729454505642,44.25822960729313,45.382471037946,42.209330209933405,44.36195766678283,45.02132501384055,40.09603202726612,40.07956925287856,44.514310365779735,44.20131337907551,47.36883883727944,44.01538018814582,49.364244444588635,51.76161202938565,49.42264794461441,51.05329801306203,55.14328518147422,54.35196893276854,53.117213245952044,56.5178315958364,56.41275616021767,57.94607990568194,54.132433804720655,51.32241259110259,50.87885845718755,49.3711250914284,48.187234757062626,48.16964120580197,47.66560275722774,51.107173826572485,52.241105476438996,53.397350304888846,52.63541127817407,57.954427822140495,54.381020481901395,57.58367904349179,54.54466480094629,53.22536468804818,50.32629806739614,46.927993988101186,45.391044628930274,42.63917973261433,39.888250502719174,42.157488993091064,45.59188438410677,47.91138143069803,49.29652473274113,54.16035096269506,53.457807869933525,57.763861633882826,55.501989286928755,54.04822651963018,49.85317275297897,52.03721800944045,48.20729748398773,48.49082511599492,45.78469223680347,46.87177412265562,45.639510307811555,42.2999071217558,42.15663572815614,37.85415152877344,36.1060234654709,31.847334505887453,31.626090173679962,27.46043802389469,25.425029447660656,29.33388252045242,27.487674561391305,28.829853908043958,30.39826704830104,29.333754178449404,33.45910911348843,31.911047760503994,35.47797242646588,34.119774909582496,40.17107605981974,40.70714958852574,39.00897441138669,37.21640799586531,33.04534591257932,31.17288157736317,30.115438484208802,26.18578075088334,25.431751419972592,24.53884960270417,23.387413052144545,26.17836957222338,20.752085367847965,23.152443401344595,23.300588425470067,27.84088417597651,23.74284172723007,24.330089923958305,18.837534355767175,22.307985900079593,24.26274837168608,27.370753874376312,29.06875431696173,32.240160644979795,34.68266165633536,32.579010437884975,34.79772427478001,36.46748293791602,33.77671188792631,34.813926473824004,33.480852194485166,34.19840793923294,34.2459307316765,37.73071149738139,40.25377551571914,43.17814442409288,44.652796267261614,42.87104598006725,40.65566460435333,38.15787333426264,38.996409378937855,34.34893895746882,31.69887515907849,35.9774465204555,31.660084019688167,34.739588428706874,30.24441891072434,26.69663226163661,24.889163868833386,23.266025756188053,19.527761292675784,20.842250013502046,21.889784514764404,24.960182135548845,28.857050790732252,32.094787370992975,35.554157882189784,37.50248982742844,39.73095991486874,42.62459968503164,40.015207397447384,38.90933920056832,34.67179682486796,32.13695056252622,31.520563495461147,31.291816637075282,30.03339332757535,34.88015206112313,36.39884473629228,37.77584981316046,32.84589103182544,33.49512305472531,31.16243644473128,29.88695984014484,25.881913438697733,23.312412543941047,22.42276835190402,20.23335838181336,17.7816274256829,18.809873382059514,17.13327816574858,21.148831638689266,21.705666314438506,25.088940580231377,22.89972871533417,19.749730912076483,23.672209200038882,24.68166342507691,19.618528516010993,21.750546971972213,27.355546780830412,25.229126423450893,23.801879876902554,27.05607845709086,29.184976238282427,26.571226919751346,26.666766570789832,23.03810868043201,27.542006054158144,20.55561628911895,21.663925767739393,25.53746254797543,26.02522218412749,30.61783299413829,29.521289882792274,31.121704773033848,29.093104181518846,31.03445009467353,29.784321447972808,30.60227678187344,28.138384546437884,23.647271727393928,26.06906398365701,25.468041558452704,21.124029413704328,20.474698293846707,21.710344397743608,18.352918083932668,15.601691962654368,16.64654862802349,17.32310177896,22.9499657383642,25.148110881645586,26.93957318325148,30.948115615354773,34.83442178488809,34.31736457821979,29.49265992624645,32.485726782881684,35.672860842490934,32.142597321117556,29.935204555324873,34.283370447750784,34.920580522448255,31.073395791925087,33.168635557194406,36.25271045378012,34.81177362834447,32.29593048141201,34.35155065023886,30.949667225689005,31.776164455733078,29.93735179613488,30.422480683073825,29.686029135780263,25.408398705217916,25.27270011254378,24.954617901210746,23.087506094537176,19.840637618514535,21.879208480827156,20.734416116960244,16.80071405079068,15.558378370856706,17.740370198826405,15.485638988085123,11.962044597218693,12.795393603809663,12.534163339540175,13.87031733986009,17.97271024728939,16.361363752473597,17.660619487827713,20.198357012085502,17.221224173246156,14.382964829801528,11.05101021573005,10.537558865899623,14.013286782412615,16.615168901155393,18.431639943531042,20.69848061971661,22.677656960363908,27.056331268334723,29.245469596906958,32.161170812724144,27.932446191762427,28.44118166925748,32.877293179713824,31.758848211245976,29.228671944559416,31.49263482132627,35.174527701456704,36.81089885339159,36.66256921083367,37.94899211681031],[33.4884591900052,30.249829911166565,27.17228939468013,25.88039503939326,23.904715633353028,30.54708022029589,31.27497576888195,35.00471526411963,37.207091497367266,37.050994896470186,40.8313567248019,42.91242036594646,39.49398968525385,39.69654364413882,44.07344703286825,43.47420001249219,39.88389693243547,43.07320081351513,43.09220956003922,43.4258764921196,45.51610937100859,46.96552571876178,46.95799062337811,44.55607299966492,41.672993398377564,40.70951859258723,38.48799121574078,37.565507227542355,40.592388744433954,41.76582543032028,47.8354890410807,46.42038369077378,51.0290843366692,53.1588769521077,49.088324843495016,46.27399918460203,44.03655698163576,41.46498668742053,38.62525748487426,40.22513499613888,37.899513341855254,42.15848371620801,44.78837719981685,42.18246913060669,42.903679963478595,39.52643191886243,41.50701664062864,42.5916325226302,37.80823207892511,37.67788416669157,42.37016503154267,42.288725813577244,45.625817524780146,42.39656145859375,48.04315797188359,49.997342066076484,47.538527876629885,49.60829672130338,53.575891469527164,52.343958013911674,51.29232606745586,54.92488899863272,55.098916760170106,56.233247330852805,52.31543037095737,49.84256371608235,49.360995204270125,48.24065362885196,46.916955335433805,47.31148182036601,46.6127645462377,49.966841484981586,51.27093507297567,52.08672201359942,51.69760212563979,56.89349810998273,53.28935426142741,56.742933984533536,53.663402206645195,52.162358178492546,49.603436085145304,46.02499762340956,45.033468127875615,42.06999153483106,39.06817429953041,41.53392388704609,44.63474004271351,47.438029996665776,48.44466028123872,53.644792505512726,52.825306860966336,57.08923299193059,55.06480129226725,53.93044422764275,49.844580765441094,52.14220664763951,48.39774838752015,48.92749452196121,46.50530900283216,48.10688452567514,46.38006453553798,43.529499282671566,42.824125748837915,38.97232290016269,36.95588971302854,32.98574149222825,33.12626577423723,29.002041629817633,27.377814945359752,31.134153598437354,29.26061720940492,29.80541780031096,31.34404283744475,29.602161502875965,33.39563700821672,31.346874558919826,34.58876862762908,32.70896852876297,38.571090780037025,39.66523197431308,38.01657476743477,36.62738275931564,32.28220302179889,30.89197670969741,30.461450332919025,26.42788471503468,26.795621856510774,25.47707002940231,24.68857191060507,27.13836307640696,21.89896078353301,24.360308860294918,23.60862916966097,28.354944429271086,23.77879364874976,24.401614616278156,19.100200728988547,21.826553937413003,23.350231745123843,26.26104209004425,27.13833173912452,29.96614345215205,32.88945713510742,31.203973063625,33.456242857013436,35.66229241000319,33.13537837350727,34.75920839027494,33.898129193471405,35.02449331040225,35.63545929676227,39.25021856464525,42.10928242063534,45.243151804699664,46.2657278265892,44.28469974508389,41.69397717066728,39.349173480882236,39.607094840560336,35.11382111360507,31.729381914839486,35.56430443620991,30.70323913424851,33.74746761749235,28.945268681166986,24.88525271730568,23.3410298449163,20.981934529341157,17.770436120359644,19.273807120088343,20.909068256102252,24.073335559783807,28.173454359661786,31.680923005089177,35.31075107268071,37.722630506275564,39.860554993175,42.88166568688845,39.78821567281208,38.943739530102036,34.20399873886421,32.4210153287474,31.4572079862913,30.84089070850036,29.30415059322329,33.635832859542326,34.95060973971444,35.91135015551377,30.700243213394753,31.315736155895543,29.042272262302948,28.275048139209048,24.54010588526045,22.505569023036898,22.2119702313288,20.64986104743447,18.73076237378651,20.627434915926393,19.77415107574721,23.67290385248217,24.997227024370325,28.233566572687824,25.788380424582307,23.307679831649928,27.470463910405112,28.18426473190367,23.201151496140067,25.837268122932915,31.332377017570643,28.901330258902373,27.7719074048667,31.226848792794705,32.98802541480658,30.23464322353748,30.762016377766212,27.19018795738832,31.990429418302888,25.171906413660402,26.24736595628973,30.189365964624848,30.730413732908595,35.342511607620075,34.16136270760186,35.59775995277537,33.34539764496452,35.00954350649323,33.46493118873492,34.121903107313315,32.00515036054857,27.419946058604733,29.345564134856886,28.782294113810668,24.727997411121045,23.667402649088,24.30746697814066,21.43571899357791,19.162926987482216,18.90086571537494,20.530980520923396,25.46857958201603,27.97416082161387,30.275549065719428,34.024971807981245,38.19167585196902,37.29378962094366,32.6035377369512,36.091541713201934,39.030061427138996,35.278671262233104,33.517117922501185,37.975125140926195,38.479520198204376,34.76182465834536,37.18743678836985,40.22101524716323,38.640087822783336,36.43972497475012,38.66184527434508,35.30499172128757,36.06801898689896,33.97717432826581,34.5932714267049,34.148404915488655,29.702291407631492,29.424102058741358,29.41825453254169,27.641000306641235,24.110184773335117,26.1970050098022,25.388460277532086,21.431236313411123,19.86718234225094,22.137111058936988,20.20825246290221,16.646115052263454,17.3930916979348,17.171512004959276,18.24346811511641,22.430846423413985,20.39571632868323,21.769749562703897,23.722596524884313,20.51878497828325,17.87503539949492,14.952707843294789,14.222555477525216,17.85150305519429,19.412410735336096,20.93211117714829,22.58948075202964,25.34822706053075,29.68422068253836,32.272665683255376,34.704419810653796,30.39690623750666,31.524171835734773,35.84221103937829,34.08199095479516,31.941863940235475,34.69828137026411,38.43313164541826,40.17835972765971,40.07375139402677,41.24821706909631],[29.630566691651165,26.222355788874097,22.785116961517673,21.345843383516183,18.805483795201358,25.50273501362962,26.032131784267516,29.68877230810973,31.968854567341744,31.817900331839873,35.60591125903174,37.586529191034764,34.200838893629985,34.56011421143222,38.89197082809575,38.248686446419626,34.79863460473213,38.14054726827277,38.49425066471925,38.794648145558,41.157529913663346,42.763276657716794,42.97355597192394,40.7853237075042,37.66519852768719,36.47840093931609,34.009482501851195,32.803315923563346,35.622652315290296,36.60123055914865,42.70881755064096,41.15924115291629,45.75650461718109,48.005727103085874,43.97395821113234,41.27661089387648,38.95188355517796,36.681771494797346,33.98216478005679,35.928829821158885,33.7861844568303,37.82292494078556,40.63364528911209,38.31899225377824,39.38991932054243,36.23321987810097,38.5165637912415,39.19102014406599,34.230919585486916,34.502645721795496,38.993914557518345,38.856353694278845,41.98276080570493,38.449406776813895,43.95823146170131,46.22041996715331,43.66936297542103,45.35523392146511,49.4998049597899,48.56353037811455,47.20181566215809,50.605097458305224,50.54678126081798,51.92364665623334,48.103466119866006,45.378257336284655,44.86482894892479,43.495739693397965,42.286982867675576,42.47088845583067,41.93004393994341,45.38914186355832,46.50931435800699,47.483250360268684,46.85276638914713,52.114225526501514,48.55239184521648,51.89228297798481,48.880286181237295,47.55203146242721,44.883892944682444,41.50321783315402,40.27429168153104,37.57274296552382,34.569056072463205,36.75955867118088,39.95129647855088,42.52745614929857,43.61289340242088,48.65630395285097,47.838261930688596,52.11509958729158,49.98804963446538,48.73817673617678,44.62480201102004,46.922019465146434,43.18497267164572,43.598883677793744,41.13668635608112,42.71730442515362,41.02407504108719,38.20036185858063,37.57617272296109,33.75767037013463,32.01571883910633,27.898944673163736,28.32962583044167,24.340057913055173,22.496669713692533,26.09228960223927,24.011858833778824,24.45027059906051,25.952826057389338,24.277797747913514,28.19071176285173,26.335834104705363,29.71503752948639,28.16922853793052,34.171508696255444,34.903973313540824,33.301993193890894,31.72947449573495,27.527675109333593,25.89398742795238,25.290668693862735,21.148452410478587,21.461989302021614,20.097047284927722,19.452618562828423,22.145513907416614,17.089079743537074,20.06873780219928,19.390465813702413,23.870416325514068,19.071582313397297,19.292843112599122,13.871810182913,16.7002526471801,18.44423977632813,21.451715637947718,22.951956378660796,26.075935430142614,28.57754822873735,26.582600036168163,28.859981120704685,30.738886252218787,28.112181477508102,29.524618407890955,28.569825520313998,29.636764826258876,30.265703904179702,33.896119146437435,36.803813068793644,40.00907583669747,40.92491602654464,38.90736466442853,36.301008351483404,33.98437732980293,34.26334673762924,29.829364391786108,26.57440333070715,30.550425472424934,25.90721389161344,29.128481784714204,24.6485149576332,20.778742341347037,19.43207831244644,17.788495920696278,14.075321437887933,14.965333021253278,16.366167837036915,19.287231167818113,23.497743304007958,26.922062687916263,30.437140344756653,32.734979062378045,34.72385589395825,37.90374318007541,35.00565567734858,34.230335982823064,29.711522195296034,27.588257092564184,27.183725105642196,26.992861377115627,25.24461022549827,29.719037162300737,30.85874095924234,32.442418330980026,27.23126855990713,28.300320285034037,26.33485175014287,24.923086324607436,21.373678833999524,19.01073746393713,18.76856595725246,17.501808605352103,14.710064625927766,16.90020203055385,15.907192568737283,19.28493992105923,21.263939620004876,24.001008558717878,21.198339658599362,19.35217869697739,23.739450367391857,23.922478928727017,19.146707489644662,22.361717997731823,27.580937564492455,24.90434385701476,24.287052378195433,27.926608277610256,29.1911496471609,26.656487737186403,27.845957772206503,24.39982310136825,29.430520808163145,23.44024676043177,23.90331761736693,27.95996430068194,29.047230938474467,33.88903028472934,32.845439997881506,33.66754974900061,31.244564387901768,32.76218517572529,30.64926020063217,31.924446203038922,30.247587963739267,24.983120038245666,26.893838643074844,27.280456932547157,23.13951312433292,21.39847441317512,22.517681671790523,20.597714654062532,17.668579119342972,16.39692606955546,17.457864955924883,21.861563994251185,24.776428931885725,26.914887003552973,30.37811775238871,34.59849647916294,33.21503092415587,28.57371903102692,32.3184432907578,34.88286014374516,30.83665891005513,29.415784181108563,33.8830503724139,34.168032477110955,30.596736255447375,33.45630602868534,36.35436809510559,34.62041536796233,32.88705594577158,35.37305004024938,32.16140314201658,32.946576723161826,30.604269880615583,31.761733289573375,31.560883737540316,26.637734801378123,26.630197025188277,27.29490686362189,25.37306800739903,21.50591688965016,24.59589904972392,24.264420307675575,19.599900254162407,18.156991132265112,21.697050366143685,19.814597063722296,15.834167719774715,15.629393510219856,17.198218050683806,17.869389312312826,21.341634886882428,18.31435320859063,18.8581916733921,20.10168551563133,17.476519254959143,14.644013600279745,12.520958155170058,10.897702233812922,14.352058985656333,14.732183029914722,16.203461747541564,17.37884788903363,20.462106415214368,24.759992026888266,27.569945728318523,29.664024356653528,25.34864466804544,26.868118023938486,31.061336948892766,29.003471785839178,27.248225843526463,30.258419622778877,34.04608393956173,35.89189166913367,35.91333108180199,37.10240530928051],[28.552451306517014,25.248358320548736,22.347009966105343,19.796073426847517,18.051159572059237,24.432599303061863,24.84535727536379,28.894724997851448,30.509904644633593,30.0946899477662,33.8352836692017,36.26372843109287,32.847425584228255,32.576490105793106,37.15278434868801,36.86307582042395,33.188931218208076,36.49896620070705,36.572304631701684,37.39118664224104,39.62652514209465,41.59920727858933,41.48226204496365,39.301146166021944,36.31804594188194,34.77687443807436,32.67653972096552,31.31506790991988,34.363852177331104,35.64505514457339,41.33908956591034,40.349226085201465,44.906846280279225,47.14223337695908,43.26973917496569,40.351071853949676,38.484423837126016,35.986660274711944,33.436296266646565,36.02153849857553,33.34322117644032,36.913771838306175,40.04472304912383,37.68844799752624,38.50496679412153,35.28296787698356,37.80359141726992,38.79214335869974,33.81842689195171,34.63765137663525,39.22853591683294,39.473976078207656,42.46560715400386,38.65181047347828,44.35045923133173,46.42619599776401,43.468137808895285,45.14858657223825,49.431285554268825,48.242974188489995,46.51625443975842,49.772821299236725,49.612741152122304,50.67793382832761,46.94915958718191,44.32361910851484,43.21658117859747,41.901610088804205,40.185198871779356,40.364151373184484,39.51722578502434,42.776596306423485,44.27994187116443,45.383458353164414,45.15314714785352,50.611436262697374,47.39186460869056,50.94228689129989,48.191811118422166,47.10100145971643,44.79665428417311,41.66887393404825,40.692050140617184,38.30894763091625,35.00187614833152,36.78672814212213,39.5753355336302,42.30896380287042,42.83083826892526,47.93171739313504,46.689219623470066,50.74772884333387,48.54929293915585,47.43322803147549,43.209258625763376,45.2954613657598,41.44417483840133,42.473365300988135,40.16692334077802,42.16486748481651,40.636126238265774,38.360628637341755,37.75524380493268,34.393185536495615,33.23495858529314,28.99287655073082,30.093706080455195,26.417137737265318,24.229315053616073,27.407289359110383,24.626855878178283,24.584638473475245,25.303284493412146,23.306366023333513,26.646111522553657,24.463551376694568,27.833026357714846,25.938928876514545,31.881526347824014,32.83128970644697,30.88889193895913,29.414705688338223,24.944932980735864,23.648446083510315,23.400586868559678,19.809161204148342,20.964570909145365,20.093034810409474,20.333336615567003,23.516558038462367,19.053703124303944,22.66360270374859,21.70642376602043,25.821671779256928,20.486145739049288,19.758025443244605,14.418921025743902,15.957916207741437,16.72762858043327,20.080806053304507,20.803270897237418,24.345999536048005,26.916856897880205,25.17000576459214,27.892771781210428,29.757842658537935,27.007356049206987,28.676738168245226,28.155150824057227,28.94333391685357,30.15700357448054,33.377427167051685,36.81552149575642,39.627809601236905,40.353915781030956,38.60342923042178,35.77229211765915,33.954764512716295,33.91012768670362,30.072426416516898,26.577777442927538,30.241896503536715,25.340004776154064,29.06639097178483,24.953666143998298,20.51058372371868,20.23842830153163,18.499189592660237,15.143213025990656,14.961632193578174,16.980984412419236,19.209474651386206,23.97509617438106,27.491723361431376,30.87011096331957,33.36470603542877,34.7691042086009,38.50635792089073,35.59492018881909,35.2487438411449,30.69657189652205,28.71774383108657,28.94427055083177,28.966028690434076,26.72887638714816,30.69877794063625,31.19183687163901,33.10306808390063,27.51632181396753,29.188569580857763,27.731608191839616,26.291347636720854,23.36521024203507,21.280612736400712,21.555549414591482,20.88762468865658,17.721340200371223,20.226550076262676,19.028412652052488,21.759870353362746,24.13206394345203,26.27804376895988,22.995605676088882,21.54004528538121,25.98754359263747,25.376589144128438,20.261455112221523,24.05012100461618,29.120656090323138,25.54771498952083,25.02519631247136,28.89255147234174,29.61890116384567,26.589345104909444,28.19629559909049,24.95781863496632,30.50194295744951,24.8948361784318,25.737922559385236,29.91271419000019,31.68271887043493,36.376105214155245,35.85126268108892,36.76415937771602,34.55257824178251,36.249354918296646,34.01201151569414,35.7113894923658,34.03264701691265,28.540255332260365,30.674679983274878,31.40587795597388,27.13476583373001,25.324601377608264,26.728058314490248,24.925401961517785,21.72805882061099,20.44472627066428,20.988416378102507,25.146220885051196,28.269436094503106,30.076338566104802,33.37956564861395,37.49502049735888,35.77068823088432,31.152151563859412,34.81168932174156,37.0612475009374,32.70214039447827,31.352173276899258,35.615618562389116,35.50658019984907,31.86096624876136,35.15529135699343,37.72999721198871,35.46630873569128,34.12322107733909,36.96239919093998,33.98256793124369,35.20973867175187,33.04828860733265,34.64456141385307,34.12392855059902,28.90515960238228,29.569159917878743,30.277986848855665,27.98071200942703,24.423242077458884,28.0665599770266,27.329949214184477,22.3050576920099,21.595835620864708,25.270608812696903,22.70875441966091,18.80981065095392,17.723895838301956,19.363288928444394,19.082755373853544,22.424424421967657,18.743880915314794,19.77483737265862,20.150156852497002,16.986419346379854,14.888150371286049,13.502809032592989,12.617325116470948,16.540146542212646,15.930273317896512,18.0757188724893,17.996147356071713,21.040438040673262,25.76802760203043,28.699509313825114,30.26801046223544,25.612910925208986,27.280546806971252,31.3134027180665,28.654994066732257,26.72354879495574,30.1779732744351,33.843631341729825,35.85711884701188,36.03648151645774,37.0945313336897],[27.247842370504607,23.832075090768996,20.61421450590716,17.532967750904806,14.956191388735377,21.15093541758477,20.92772057025829,24.884020692529397,26.386273462714833,25.603978984003938,29.320388321948904,31.775122223668916,28.10126657526095,27.901340245087,32.36051421886183,31.994475032461207,28.26878575450159,31.55858505537149,31.732475949190473,32.514376957286075,34.87276442610011,36.94181830153412,36.94711172200465,34.912134556214085,31.78867094278279,30.104264032523805,27.879287466664824,26.39465292507125,29.404554253144248,30.719225557948768,36.40109518938372,35.48143117683865,40.04255679117112,42.21200622662398,38.35336774499454,35.40652052472533,33.61558033040832,31.124659729790686,28.663317223731212,31.559969721887363,28.880466505570734,32.219837163953976,35.48764678253711,33.32173989415639,34.343269490728815,31.30657784090771,34.063203039098696,34.781840955192,29.729059077929367,30.94740102326653,35.352712407872296,35.66477041464449,38.44958690941436,34.398552176894405,40.0336193675031,42.22354643695449,39.13671758727222,40.58468298864256,44.97526999913272,43.921878680412036,41.9570832622519,45.06126782347777,44.782429799349316,45.9401341980948,42.27416141668182,39.52990037246225,38.396577983427335,36.98893319903893,35.36552024497088,35.51973390607561,34.77833994142951,38.136213253961934,39.47802449690987,40.57432971296163,40.22971872587594,45.6894378456274,42.47897903454524,46.01022506049446,43.30815141583531,42.31645705450546,40.06134907389462,37.08800079967781,36.12990477903354,33.96400026381626,30.562759660902646,32.09954407850019,34.798874152166334,37.50104854678838,37.928448365611835,43.0052754697284,41.72823623258684,45.78996910807858,43.60488109380017,42.51976319270062,38.33733338149526,40.498397520786696,36.71909799744343,37.707465539162584,35.51654597798701,37.74908432311774,35.983142548040625,34.01593930771351,33.19888062826728,30.170199698531075,29.215573276858827,25.063419727780172,26.680264068421188,23.34292266872769,21.224249125432586,23.96095030383972,21.009242882808046,20.315489387115544,20.915164397857982,18.577879608081936,21.81491064619761,19.571522338289622,22.919837026965904,21.15957803090344,27.17625064013601,27.972523295585283,26.13834480150199,24.668486490574136,20.292936001464692,18.974064599852085,18.92190019885745,15.154874344969466,17.065001132957047,15.918560970660423,16.675086588197143,19.828230464011614,16.083375898228617,20.09236068757172,18.80405451278486,22.430753175615635,16.8025896266034,15.448866650439754,10.486326704291576,11.16683836366773,11.779774639530961,15.165660801378635,16.22566431293044,19.966009787731927,22.217897125317865,20.31597845721607,23.091905314320016,24.830085471168918,22.059375447822823,23.805393430668012,23.470584047220306,24.420861067084086,25.984403774783306,29.257656479971843,32.88603328722694,35.88171860285503,36.22657675146015,34.32282049278298,31.29085203856862,29.607845646996612,29.253423187655397,25.639130963267274,21.92646485813515,25.439841122291114,20.54880917873607,24.460561555928848,20.70638117602143,16.305312515249064,16.61651466633462,15.519001789047868,12.206323107822476,10.961120577697844,13.011371303094814,14.678899104360093,19.629546438220366,23.10321408090514,26.357079948742495,28.932747472525204,30.080793622531257,34.029449563117026,31.128239310834523,31.0156804254137,26.54825650727513,24.627571650686463,25.35543614401267,25.677273212096992,23.111771198811205,26.83205457342399,26.971199396892167,29.363840283083107,23.786652394484243,25.940776403054105,24.946801328313146,23.069577780799904,20.69237862278917,18.67289142002293,19.327652770190344,19.37033616691894,15.861481713898968,18.8098479780151,17.95856290841502,19.80752427503086,23.03692897680819,24.496885290503833,20.90621397977195,20.5572709391674,25.03844763560878,23.822072578884995,19.339415036233856,23.642922072080985,28.140948089983162,24.41142545285586,24.593504107786124,28.529852362434504,28.600324783743332,25.918287309168555,28.292942430351047,25.33200288748849,30.908713256683235,26.297885585068343,26.48901404253028,30.59850977063785,32.70422501135339,37.511009199161045,36.988426752142836,37.266340972142174,34.857812193413814,36.244395981080686,33.453974758953066,35.55089220107571,34.445031740912505,28.549906774159336,30.369217118897364,31.86752277432179,27.806447025072636,25.391539608582395,26.880992716889466,26.07842105084194,22.764291987870518,20.342625507315127,20.70579561834896,23.761262409544447,27.2211360891691,29.021217185699253,31.81517044658126,35.99616439524105,33.67753360673036,29.32686088018424,33.35153098988401,35.06524824748503,30.44239840758137,29.707022600481515,33.912535164938696,33.5462319181137,30.234802878071385,33.98985493486641,36.36768322682942,33.99408878597826,33.277176186382725,36.33318849265865,33.57068982559656,34.70168490597257,32.236548659783615,34.30469779642396,34.183099320661505,28.67290960229811,29.428131189685615,30.82455604749814,28.57548981946541,24.752091235581506,29.015206040476404,28.87547613797749,23.568922472083507,22.78813208400681,27.235221767814636,25.028700716288306,21.0368921563995,19.472815061198634,22.27579916568208,21.865229394390525,24.503743578210408,20.193304527247324,20.321141274661347,19.7568777761138,17.466639901004587,15.468560682258872,15.160403988900331,13.511686320058761,16.650048678294436,14.360396904031209,16.055214912848136,14.908404105002209,18.612336737487546,22.991474442787414,26.260048842190475,27.161666593616417,22.614160557561398,25.024095630921618,28.71360403633206,25.45539151801801,24.288755157194913,28.164412235349243,31.824901269593532,33.909181997302895,34.19415759092007,35.19631089804216],[26.695958884391963,23.162198484262415,19.37982738037146,17.680024494611143,14.387839083194518,21.05756682572026,21.261361126011803,24.82514626687955,27.14929492612267,26.946166723009082,30.728411933134964,32.61725969632643,29.233410093525528,29.752729554428946,34.015449114530085,33.32737445061544,30.018647457169777,33.502223507046715,34.19821127961116,34.47213026032931,37.10399313562956,38.876999179992794,39.302504936117074,37.35148045544116,34.0164431595917,32.59030397985693,29.884911222180826,28.374102665231806,30.963911990310912,31.750596749492324,37.87167559484145,36.216498319107075,40.79901090791394,43.15264894826818,39.172191178555394,36.58455676058524,34.202510072409744,32.240138526721765,29.71459306749216,32.0646696270978,30.10398772056201,33.84046910277287,36.83914258120406,34.84778120567283,36.26066515476534,33.36624894661509,35.94343220423188,36.2097920600604,31.121876003357453,31.844858817655002,36.070810760542045,35.92065933277182,38.78070414093249,34.94067697565302,40.28299518409608,42.82913582955446,40.173697103279494,41.45279340416788,45.766052720217296,45.11851926687227,43.42777104397469,46.57496649488908,46.27811238519696,47.880901611339894,44.17851213525717,41.21175058550564,40.646935898334206,39.029454830781376,37.93696210505269,37.909414404776065,37.532746781285034,41.08591055764198,42.013210903483824,43.13730300993055,42.273682184980274,47.59630125053643,44.093154383121146,47.3213658662645,44.39630416198999,43.26048565798096,40.51496004466103,37.3720314845958,35.928261654175735,33.541932605200216,30.525246646407425,32.37504392282301,35.61870698314908,37.96319734552178,39.08960869482466,43.96718576455654,43.13259424146603,47.40859461875016,45.185086275502776,43.83344736814951,39.69968174221218,41.99779138454063,38.27907823094015,38.590841845750376,36.11079659462332,37.72155421021108,36.03209696553614,33.303372867307075,32.73077478897164,29.02062754392757,27.63113254662138,23.37683018114746,24.238781274122555,20.504115883218084,18.427578656311407,21.717364514381927,19.347825145206336,19.536713958340492,20.955233935671572,19.304487920364107,23.319554000123468,21.6808546426468,25.182317858102635,24.025798714814847,30.11658787679633,30.455728622868076,28.921371114386226,27.170583473985005,23.171298027639672,21.282530726651856,20.514105336627317,16.245703167862853,16.6104526064179,15.162983536413844,14.818277472441542,17.808893417023512,13.20266853683798,16.842482245949206,16.184994010936357,20.171618137353246,15.114541358827347,14.693588935294153,9.20847123800302,12.016924010320995,14.017417008288447,17.093244832578158,19.323128234763686,22.718818654132882,24.690205437354326,22.37220295319354,24.66709033332692,26.162904251127394,23.43601532340506,24.624641231831895,23.605815785077176,24.621534832127633,25.342964260956283,28.983947852074095,31.99482398024777,35.2825100394612,36.020891531662585,33.95419061051865,31.291339555328257,29.043454800911185,29.285683961699096,24.972725834012806,21.827573351581844,25.912802008539536,21.53366392066003,24.959051170751472,20.942787798874612,17.362691667512458,16.38629281265434,15.689498742792136,11.66456867046672,11.547570956696095,12.604674257246623,15.055196082471133,19.376681579223263,22.672499487179305,26.01923718896584,28.20738342422005,29.974094376902816,33.36300985446786,30.67470704755383,30.028664191842346,25.77675094798307,23.321587268726024,23.627103220673668,23.93606266021423,21.921873573260182,26.41865116357743,27.289100019939003,29.54294431470323,24.410165777208565,25.995883699866862,24.46319165126738,22.389071900236992,19.24595804904711,16.657608105982735,16.581612528967007,15.863496961129636,12.18712269843154,14.699150777634491,13.662569345312727,16.08157105253876,18.90231489298322,20.880544097295697,17.651822747622226,16.793683098016192,21.292747588369235,20.763293559810897,16.427368213967092,20.274872827975877,24.983034400409387,22.032181763860383,22.075093990649926,25.834724756868617,26.454950922091648,24.213975093848994,26.161839683178265,22.98441462967221,28.12929323621942,23.242068175901053,23.05824320422898,27.091046162500344,28.72318494007692,33.65865261804311,32.78487476573001,32.97036729330332,30.429906837641568,31.7471805794834,29.064770451110917,30.96234865768996,29.80183855019833,23.998293518033037,25.79946303680802,27.159216325934125,23.110671871262532,20.737591316923567,22.27082661266297,21.4226076538283,18.09094017372456,15.79540823653404,16.151633532414678,19.58659809303773,22.891841567697327,24.794961210982027,27.819573808061865,32.045585345817074,30.086516775582975,25.59719326901393,29.601326501760365,31.667896606285872,27.304380409896538,26.350123434928,30.756012545304248,30.75965925325387,27.41842576249578,30.769905142076254,33.457904061845646,31.55048509414835,30.4058791401251,33.161310035245634,30.1797725072925,30.982877487038344,28.402469550779664,30.15039301930823,30.221778499703174,24.898058820822023,25.202095143133686,26.578872453872144,24.568910552322304,20.509967135893778,24.521175034723303,24.681919344155325,19.55092459382187,18.341611594274035,22.87185691107537,21.128194927342317,17.093761519663232,15.968446260023706,19.04878747053881,19.287827310577597,21.867992079681187,18.00433357103445,17.60180023837525,17.850929052996115,16.073437974923742,13.307442589774206,12.487878841458743,10.054176804604841,12.79031559722548,11.31052755157612,12.624407238313887,12.873783838894514,16.4504689852473,20.621717891944492,23.713375000979436,25.309804521581118,20.997375436666477,23.066679538820313,27.031078841460207,24.547863275867638,23.328839960918643,26.66836040990704,30.475230151571782,32.40676589889281,32.54522181481708,33.720767846462216],[24.567741401982794,21.131338969462863,17.76756978281209,16.13090154326675,13.918329490325522,20.524877995793965,21.35822685141872,25.175465610192823,27.34969655742359,27.5776213427498,31.375363978473917,33.33683096503181,30.41169584944955,30.66163829859379,35.18992418672391,34.773816200984506,31.622640409167673,35.33798864532081,36.194086354181835,36.78063725319409,39.51794429720314,41.55135375034501,41.90382505052664,40.03658797736178,36.699040157483125,34.98714026992043,32.36240356547366,30.54066472625417,33.02014260608829,33.6521161696141,39.57510052249445,37.946767976522416,42.46382115215391,45.078515876447966,41.24062189900237,38.75051973811784,36.41423111441288,34.753100544759434,32.411663309460735,35.10582864660037,33.11609667126175,36.57725658948749,39.76052983086724,37.86749899677769,39.26891854010425,36.377961177506286,39.07434119870288,39.40428958374311,34.282112065325634,35.190468336354996,39.401777106757166,39.30536445610038,42.08006805105627,38.132835299587214,43.41744192999745,46.050164538280605,43.29510408934492,44.413684072324955,48.8184818589578,48.22141354758512,46.322533632514215,49.30341987520432,48.82856768589409,50.44239650787066,46.83825153006916,43.785653439864994,42.89246505371087,41.105579082530696,39.746317798768,39.45365596355815,38.96611812571295,42.41047911163213,43.534219302417966,44.963666020403025,44.16029489202338,49.67924912246214,46.40717007440844,49.61114787438309,46.85521509145825,45.93621699769253,43.18725516291194,40.250924727629,38.6168713779776,36.471148148343026,33.486369773868816,35.06279753382644,38.292803430207776,40.43556103321423,41.491016442793594,46.19180845199837,45.18362848995706,49.345462536619266,46.91826375496296,45.42805913954392,41.13020481169277,43.18479305667495,39.29480809474311,39.85946021597339,37.230673351757325,38.65992405182941,37.52480135550487,34.68561636370565,34.60620600156267,30.746211743118103,29.838993449897504,25.280223216028897,26.099795665480098,22.40792663636002,19.776397996612918,23.083451911421367,20.300580961484332,21.046616420064062,21.969445047397425,20.7502766410367,24.660214824034288,23.186619158577493,26.927293685170376,25.84740622780954,31.98494748579147,32.1545692790528,30.317168383804905,28.340731114131394,24.237101694902904,22.217618176681796,21.124303094099826,17.38980753203568,17.142856264814192,16.556286560060148,16.359247465878525,19.957381354938633,15.345217807704241,19.103799010670883,19.033381301473003,22.836710675300964,17.97876706480919,17.184943665490255,11.568708435945783,14.284153267735565,15.92564098630788,19.37037844722221,21.485571554850008,25.265558629634675,27.101266693682284,24.746843522345557,27.273950234821747,28.453459028455484,25.549799836163185,26.463020917211146,25.32294061253277,25.7700616888588,26.33379125763044,29.580404631338762,32.64208372001558,35.447467351097316,36.545334629118365,34.86524268566836,32.399837298414376,30.320662757535512,30.89246945026448,26.781058329381562,24.10141177595778,28.328274008890702,24.164938409537694,27.830561583468047,24.112930456998903,20.515451444050903,19.78753760521419,19.135170495958807,15.136030891126286,14.76782891818531,15.816456658794332,17.933519279933808,22.336030820918552,25.497300859585877,28.674230075992206,30.635434540762066,32.19084343866105,35.75375751906722,33.37193692578542,32.72560697717222,28.75737629649625,25.905897020409007,26.589502405505698,27.10774806346859,25.153502082287748,29.72261794079182,30.48790457986284,32.93427865928558,27.769311145338737,29.474299712337228,27.970590922211336,25.855094131119927,22.679646361861863,19.971856932004194,19.652241618688816,18.540736347682888,14.594922575813275,16.46178184385349,14.565449858527236,17.043684487703672,19.206672750231526,21.186539198986168,17.911268619004783,16.334354489397626,20.7503858161036,20.100162466122196,15.0631420695638,18.86863697023371,23.851451608529867,20.47564310209804,20.085070664626247,23.91234443194481,24.679112193506676,22.002232847249935,23.680879992453388,20.44816462701062,25.827782435071594,20.690943535340473,21.023863178229234,25.158766252245744,27.107803724370985,31.88584675562861,31.42050044421377,32.0251722503607,29.828215208870425,31.559891738799717,29.22334300763531,31.30709187247694,29.68829506579244,23.978563463872902,26.353876063727444,27.554174315002864,23.187306118133005,21.27798888442317,23.271962931645128,21.77071744242339,18.08584093188249,17.044232067797505,16.587795123223692,20.827585827102673,23.898138943365133,25.261920206522095,28.577928855047286,32.52016894402269,30.856135665870262,26.17202652653166,29.629093861443117,31.89109971315267,27.567226397489957,26.077301631013597,30.314609352608734,30.247655223735542,26.59339355858446,29.853065238011688,32.452988675511776,30.307354771939202,28.945064432017016,31.76411177007096,28.80396255148657,29.997641037808137,27.822656771811886,29.59092163675492,29.09405413922544,23.76320976735476,24.594617162016295,25.5279091135089,23.175921894264903,19.59686330475379,23.726012491237448,23.19315497822408,17.90757175715392,17.439522610138795,21.72526129733584,19.251052002886162,15.320482391109365,13.680743948739496,16.56652490548222,16.29752078009455,18.93022037098238,14.954655829770832,15.147090045071554,15.52183302028188,13.09235481137488,10.515559290981239,9.593842830731747,7.99638986592403,11.536960608197681,10.772832037752567,13.165437119680053,13.435378425745785,16.067973023158043,20.83523508044498,23.601082225743767,25.471833200731517,20.883652951871863,22.29124992174282,26.434373452916294,24.222839006710167,22.226348740617677,25.395203743245204,29.134279579902135,31.10896567508172,31.292125030032402,32.49351708750278],[24.8490789007786,21.583557443753804,18.54451388446811,17.664365554586205,16.211084911751897,22.668142991355463,24.05674480720807,27.829320995373564,30.13322266017027,30.75520552168633,34.5428147172294,36.38864917558146,33.78959987843148,34.05730215661116,38.650546403972875,38.288297273203476,35.28718994489519,39.092865305275396,40.03300081640095,40.630736677211054,43.389484664380205,45.39807442732158,45.7537244646309,43.855087456135074,40.536412580305445,38.85632962717675,36.226068933039656,34.37991495534707,36.78049718607393,37.26630373976291,43.19954095391839,41.41348358897027,45.8943221804655,48.64467665089855,44.82881558573939,42.45332981873829,39.99386809520527,38.50798043037638,36.16562266589788,38.70800316051718,36.838557084880016,40.398122534848824,43.5218275302604,41.6004321652915,42.97841821233365,40.026204540203615,42.62059123073546,43.00939145216384,37.90304162939687,38.59909182996732,42.85002132123616,42.64872793919953,45.507546478206905,41.680234974238374,46.91558512075476,49.58753829805882,46.949535560463026,48.09509693861075,52.458523218807464,51.8970227542748,50.10086329499178,53.111330117260195,52.63601961082761,54.297818817482586,50.68614303821581,47.61997096336675,46.75315809553804,44.923860174052265,43.546219268651846,43.16074709693356,42.66091523513914,46.06515439854121,47.238557443457125,48.76253313989704,47.92970826407621,53.475005959740166,50.20833450318893,53.351414930649334,50.580446182338356,49.65041329733595,46.78608616696012,43.81147852301379,42.027669160217854,39.813831092057335,36.965614401153985,38.63465633296126,41.99130673511799,44.020350123277936,45.230244732240145,49.84550276106639,48.891960767270426,53.05597870751122,50.55867853404745,48.963522555049394,44.62133296675462,46.58994051341606,42.643921408811856,43.16535095579339,40.3964100483903,41.52093278277259,40.689489477080755,37.53678052122912,37.753926697311776,33.59442082580705,32.65110680809528,28.014481327794453,28.388361961733295,24.539244701809395,21.797149284416076,25.353531017107137,22.745281198328364,24.101284856512727,25.07001242508761,24.232953174504832,28.223883511783377,26.902089833956477,30.710963114908452,29.66885497730384,35.805042425348674,35.929926179947586,34.01868925602473,31.949602874741423,27.846851949548387,25.74945751391142,24.41719880877172,20.882954427090038,19.951967310729962,19.678312578677666,19.100617946807,22.70433110916515,17.75763527859807,21.09927861954489,21.4959304843644,25.455744759806517,21.009111256015398,20.57583960039603,14.934679431697734,18.05364533274959,19.77025910818116,23.229645360389036,25.297107703475575,29.05233229307209,30.965338676838797,28.612828331742314,31.104572210546053,32.23242097385405,29.314428278401305,30.044753881526315,28.69504682079588,28.9264342439792,29.11549631723445,32.242289290952854,35.05123154857916,37.63964133540542,39.11956791318778,37.613911093751184,35.40527870069724,33.222818359319035,34.14304190754583,29.901205699601103,27.569699032147508,31.94991286099322,27.924485394834996,31.47760378707911,27.64771435130067,24.143696186045457,23.07073457444467,22.217615424556243,18.183166079022566,18.310809797902422,19.251999313371932,21.59839628963336,25.815408784465706,28.90708377129988,32.08611956647077,33.86376545505287,35.58381398869769,38.96241772829871,36.717775356601365,35.865749763249866,32.007387182461216,28.962891764143755,29.419809660586942,29.84405423875438,28.184927374291004,32.98303187255846,34.00325307386195,36.25015259689045,31.169922122489425,32.58649443839956,30.79770393010878,28.84805344938072,25.3204375105921,22.502020457687816,21.803930601783964,20.086909324163447,16.38510277487629,17.57718589159602,15.203564018529605,18.25037678716588,19.434834404076536,21.90673931565409,19.028617143145322,16.417762785816986,20.602073998475326,20.509894414527807,15.072446556523568,18.184329435793675,23.57316045128768,20.462966262512428,19.40926047767175,23.061876457744525,24.45448695821163,21.594075861882054,22.492551413936365,19.047171058797034,24.26055640869396,18.305035667221627,19.18867808080285,23.330839564073745,25.027891344946386,29.676469644933,29.277069821592153,30.425348119058263,28.482087881074666,30.540958399832277,28.74479963974087,30.58640440622447,28.4316250460759,23.12020392641579,25.887112537818847,26.504627159186043,21.935556114460365,20.66790623038823,22.785824882510568,20.404045581254987,16.68762769349494,17.040557831107964,16.343405879930835,21.530441754793944,24.179535554302582,25.32604908795476,29.04934712433107,32.791093372555316,31.698363140541932,26.846665054893446,29.806348333974945,32.509539615868235,28.501392494891842,26.429086026518917,30.607249998698553,30.765792299054613,26.863547677384553,29.633250088388515,32.36532227646632,30.359236591907084,28.43460129365194,31.0153758588109,27.90459995890503,29.201360001883625,27.377730225672877,28.742911649713413,27.82385225971433,22.817502372100424,23.660876932209085,23.9374387886126,21.509290169461128,18.32080444951464,21.939183730943633,20.789351142583428,15.739356589050448,15.558783095232167,19.1758661747598,16.25527400102775,12.45319547652365,11.075672754783021,13.09885674674607,12.925620872009446,16.06108685970502,12.734741375882333,13.682234381086744,15.076636578393003,12.079400602243473,9.38176241974492,7.215277746198919,6.649760456761089,10.755527897959869,11.867186506337442,14.590889617526381,15.766263978433978,17.53849883780717,22.426354725215685,24.751946115721598,27.20835068448572,22.663792130746792,23.297991240116012,27.648882749214977,26.10020353376616,23.475771880456172,26.115379024106353,29.786744415133114,31.652641385247176,31.743175991425073,33.003796195817934],[21.923413731933145,18.774614691370516,16.30197970872984,14.923405910168563,14.572361485297147,20.60956746328435,22.319822423013505,26.33372165353827,28.247141375029834,29.082802839300392,32.81327724046595,34.82326276988439,32.58608060036393,32.48715780719213,37.28989110338964,37.23855835564318,34.35593761282215,38.330141689732386,39.40707672008342,40.38092384371972,43.24619815268842,45.60215422749233,45.873319754044346,44.1307421297786,40.80057155618768,38.74004220713594,36.22310592649846,34.02472082360827,36.31808492245813,36.72830564669239,42.33078027685699,40.74016359351916,45.12398238852721,48.07571193638508,44.45717518213647,42.124417527370305,39.85749841361279,38.612791068402245,36.52209006728866,39.62823193008374,37.630624256661136,40.72622078568992,44.127971637482425,42.37810541213055,43.77504576130339,40.90927995334348,43.745499567767624,44.14013052686971,38.98661832274907,40.12892438543761,44.297655766300146,44.265904066827225,46.926297823306754,42.84080372001769,48.03265457909207,50.77991804540879,47.908512519405434,48.80217596782073,53.31725367371341,52.802960083734924,50.63387318628688,53.3786365616002,52.663662727793074,54.298484423513244,50.84349330922812,47.68140163240362,46.37188971765734,44.36425816432059,42.678622593623004,42.02339237577927,41.40491287651495,44.670709511347866,46.03775474104281,47.873685803651995,47.139557917078186,52.886153110180246,49.93693454039952,53.08339774336857,50.565137137624646,49.938093271896136,47.18949246416793,44.538716313663215,42.66288301357112,40.83792262634849,37.90754132163114,39.12979537028176,42.329323332874864,44.188086993762255,45.15555938377128,49.58768324974605,48.35972679110169,52.344247576136034,49.65320727618996,47.97796251816516,43.497435564049525,45.19875162930495,41.11987488120443,42.00929864598976,39.20419072781475,40.359073768076755,39.9945796207299,37.03810670470809,37.615634954774336,33.61380925855309,33.345005438270555,28.476681685942662,29.24017256907566,25.69690380399655,22.459143665646295,25.659959513031076,22.439978700868366,23.863197306780798,24.133037539894104,23.51902099025495,27.192495442863596,25.989816562063005,29.94417896690785,29.00772934938834,35.10323538555156,35.028034048965,32.834651011417115,30.590296643443196,26.474740209111978,24.331469942430008,22.83015935251818,19.945061819586762,18.906497152318604,19.42079529315904,19.41100487278522,23.58188415925627,19.146376895407123,22.93036897811666,23.498927120899452,27.0165149270445,22.449417674953192,21.265468771568315,15.747350653770306,18.250854508835786,19.47294713190857,23.196105731225963,25.171128384245666,29.329373472130293,30.958123534890024,28.57837348197536,31.337214769759463,32.103798532173045,29.028460195201365,29.56757642955454,28.28788482334313,27.99298831911917,28.323842381496426,30.960998694748092,34.02721303266687,36.10533903817823,37.700785147258365,36.577340266360736,34.42379430550163,32.60427332830598,33.60641532064893,29.82382059624923,27.77753024957199,32.118772018697605,28.28316495814992,32.1867378116765,28.852298607355852,25.28205702219286,24.81786093041334,24.24534041800557,20.27429231815229,19.661577634305797,20.672340135665856,22.42013561347375,26.84321620332804,29.811969404116763,32.74925945387457,34.404830451525896,35.67570783078099,39.42441459563885,37.45716123265489,36.81825552132342,33.23379086272288,29.928780863132964,31.07203253647242,31.845538041035176,29.96035230934699,34.5947148767407,35.230781622244706,37.91186042324993,32.741687555982885,34.58567146657689,33.13013808770371,30.946054127057387,27.758206098984374,24.935333861245887,24.380844493390676,22.904106909179667,18.77142342291205,19.88119218647515,17.079807382816046,19.413765308456103,20.627066731891126,22.472903080315515,19.281250966159906,16.829981368558965,20.85468935505021,20.01858997586489,14.23230640404309,17.719762613064937,22.894079249340113,18.955815172905524,17.860590420411313,21.658985946303147,22.626120978825515,19.290933804522457,20.45480005281612,17.23806725972318,22.885106961808685,17.508984734548807,18.746044226370913,22.909887076812186,25.370194586316906,29.79142996294174,29.994105904092613,31.214299031700154,29.605087739789816,31.91154295964792,30.108729852648707,32.44322503945565,30.225302323517848,24.796643370018916,27.904087466630678,28.898321983110645,24.22734298528763,23.013800810665675,25.568777654762535,23.30097824361649,19.300531524810417,19.914658054722914,18.411245651540163,23.420060078613027,26.09726670476676,26.668448476674904,30.275975191442647,33.73507794545742,32.49291162046794,27.65933651448006,30.257562983787402,32.72882017656242,28.55135156405587,26.34385425500954,30.211152830031637,30.02781237443429,25.99989643036996,29.04812668179063,31.444780560612436,28.96026555826187,27.30335837772865,30.174502617902828,27.32774864491821,29.116575348727565,27.616505081673562,29.398174110863682,28.04142757500417,22.84616535039861,24.490450777919424,24.737664314837374,21.913203498090837,19.272785871240906,23.443221946274594,21.841344504093207,16.53674049560063,17.341905395853882,21.043991443680348,17.469822626397264,14.013632268555247,11.505424914230252,13.86127004009685,12.523168910116254,15.08843434986087,10.993924612282806,12.399072263472869,12.949266911390973,9.379209569543786,7.579964146129898,6.666609223320964,7.204978460249487,11.363826130513411,11.708947275683688,15.264497020342628,15.499309313595102,16.637746576304345,21.960697360978333,24.145815059183523,26.344121011952687,21.53545728075922,21.903351666130735,26.15431557022324,24.429839725707733,21.33728778883965,24.11215044905277,27.629976756766165,29.63332711182943,29.89804909345967,31.105311557523947],[23.381022030372925,20.477849293744914,18.77529216192874,16.118070587241803,16.696026876317944,22.268029843443838,23.737297422895303,28.095039445387716,29.28027737470879,29.701832841792474,33.35058529430551,35.859006020120454,33.45135211961978,32.68662373693231,37.67773691831428,37.93891802902915,34.7275601169449,38.51556337478151,39.10615890282901,40.52422062564356,43.09940848141175,45.663582876265494,45.53551651724571,43.684638559465505,40.60397741509813,38.38710631921129,36.33006982296186,34.21004190658765,36.85001496096246,37.69990564539258,42.907206147135796,41.944992444629506,46.30188902054174,49.09653502459844,45.58224409511382,42.94942462104596,41.16566611629072,39.46104299646711,37.39085273541676,40.81292242543664,38.242019835809934,41.08586657740701,44.64799880049099,42.696022239529626,43.69804034063869,40.676137980569834,43.56341224993669,44.40829292427111,39.3339501323248,40.73117821888458,45.09807276814966,45.41576409255573,48.0896911702807,43.91607079754517,49.37504100230196,51.78249429147978,48.6010047550331,49.71786837284448,54.254630569860225,53.34805990258352,51.03553195916517,53.791210508934114,53.13702647534476,54.346297585036154,50.914178304140066,47.99558098149095,46.209596577958884,44.42333815554389,42.244189735151174,41.751089957793525,40.76964325106833,43.79221470322031,45.59484669919489,47.410140497159205,47.182599273864625,53.02930110398762,50.34525631127716,53.75644820706238,51.41810055245578,50.87524737807921,48.53243025274001,45.95755051444595,44.49524890652212,42.75281647878603,39.52796093022795,40.603593402204694,43.37972899735786,45.5626960416962,45.96475867125312,50.57475271744786,48.97666473387272,52.75883704333528,50.10694947882845,48.66709624270449,44.14542231705583,45.69024082610904,41.547018884544094,43.06170432049944,40.49205696455861,42.140665629594466,41.74889348660002,39.374249217999775,39.75394833076591,36.23649660094053,36.18321602257159,31.389787712620212,32.628989566973345,29.237908356228797,26.054605703572538,28.976200998396507,25.392720597121034,26.182748562604207,25.879216423748137,24.768468087867802,27.804520358651455,26.13867561873851,29.92657807443849,28.47300906552245,34.391233481108166,34.7456719980568,32.26306141308881,30.272903381059315,25.85914630206134,24.237992913140914,23.295248175369245,20.930348254145645,20.999055211529317,21.686123713937526,22.343971677855215,26.559044469507107,22.439700203259047,26.458731848154336,26.479184812407016,30.012679924972794,24.959754515463015,23.360690661302055,17.994602961955472,19.38658967767754,19.698765902415595,23.55226659665911,24.515047794619136,28.80211857493658,30.715656795513553,28.740557604840216,31.826041292868787,32.83127595450884,29.752828696554985,30.730364024710873,29.968197273299506,29.620534545612202,30.58693136151438,32.91660845109164,36.47318949444484,38.25626248608067,39.58123682503694,38.633119280648046,36.20103599043431,34.82111913925326,35.37183598483775,32.08022831016037,29.570337635080215,33.49176873971497,29.24177291217375,33.4358731308843,30.15038943915862,25.98659126048412,26.207181904915068,25.163184444402003,21.599621508643384,20.62184037764398,22.266076686159682,23.723706764419735,28.554403929443822,31.71161030591653,34.655576282863706,36.63845322254785,37.510130216177366,41.648796156495415,39.455514100582,39.175718931312716,35.322238967093256,32.461849652384096,33.713113291564554,34.36709557075573,32.12887460202793,36.275087976023464,36.469854278227096,39.094122250592456,33.57074039094132,35.69206560273814,34.48877895164934,32.57916340480459,29.75290136614068,27.291175032793557,27.201470766053593,26.14696959295635,22.179425661738218,23.79587051890465,21.313960674107943,23.515004813387094,25.072571426023707,26.712169757923572,23.29469174585137,21.190391286651497,25.214018674388917,23.984350703671804,18.144399942814186,21.85096924154243,26.85981143371804,22.358717561900228,21.282124555012757,25.132127748653765,25.711990567697093,21.90423529690431,23.263929625016495,20.29900595430427,26.20316543590526,20.95270300462583,22.677647200070105,26.817375284427293,29.509590749521315,33.714747684020644,34.18067241953298,35.62971710694222,34.13846831201729,36.501028631543136,34.69681884837239,37.02424737946247,34.780733521694245,29.37628573801432,32.43554014159315,33.33958075263333,28.66300706282548,27.44476940404197,29.795772832780283,27.421098168252534,23.580720806293947,23.94969684744949,22.845839205380848,27.68287739745593,30.505694858492326,31.178328276898498,34.69128341463305,38.18184973092175,36.73680206070634,31.96480112545487,34.61441441444545,36.89919237495045,32.5620552988619,30.484573068467267,34.210253087260675,33.777676819506084,29.753610121629073,33.0303719065363,35.18929884005627,32.34445530351329,30.950654131197194,34.00200530720501,31.324581261274695,33.36680776301777,31.993109706302004,33.89461480390297,32.366516242425355,27.152173517929658,29.019698194980446,29.171073265288147,26.23407196006566,23.785114469477133,27.892484548790094,26.01491035904213,20.80081380332668,21.730343374262265,25.114090460208786,21.248009901296903,17.931625265635315,15.48532405618397,16.98596562506336,15.149262654104609,17.945041627773158,13.877077803966401,16.018714444363262,15.935060904585743,11.754497417192615,11.000539393950987,10.389136461585299,11.494114300811612,15.822621167673859,15.621161330595863,19.21606697460432,18.631471659662456,19.984955954906077,25.440850936949058,27.757417535588694,29.479784918344535,24.48259197866732,25.054326373424313,29.0916700311887,26.80022451665427,23.609888976937658,26.77523445904713,30.131520238925294,32.2270030815185,32.560948888581095,33.57581407728305],[20.05064421141268,17.075339043495994,15.47025807537646,11.605759300733984,12.566967781562294,17.561280236578064,18.81833390904592,23.318741691648334,24.09105223826394,24.464935238668126,28.05298452799114,30.68991586137019,28.44675593018119,27.457688396144697,32.52691689931492,32.98137250784564,29.91970886067075,33.84653378423369,34.71320930920669,36.36492500158799,39.14202545380442,42.01366801818549,41.971701741444086,40.39422761416048,37.212247344203455,34.61402854797274,32.53086273594116,30.010352911570124,32.418508401816126,33.14352266699186,38.04938876648888,37.23767505125573,41.488209485705106,44.40646439482366,41.08293390246943,38.53351855865126,36.92349104376724,35.533418569933886,33.7837223758065,37.787902339628644,35.25847242500582,37.530026998358,41.3455986906072,39.73366947651964,40.94668119316707,38.19925296048963,41.3862121172775,41.957218156781195,36.86032027047439,38.82605081849128,42.902027884286646,43.315876448330776,45.66931339313497,41.19578216041026,46.46046149685731,49.03503846672496,45.66439688133291,46.36548606413113,51.05262227333965,50.351580153798864,47.6124095702364,50.01304681110176,49.070390071817464,50.376931644820885,47.15089086953463,44.05678198689799,41.961495513505554,39.928055211308575,37.630911074828006,36.8469254424282,35.89373067307614,38.890409162593535,40.67496883068353,42.75653376443974,42.455003884365546,48.42490378919689,45.997681138264625,49.33418203220573,47.234207661668975,47.00746423275767,44.75754705615732,42.57459133399643,41.003334715248165,39.73519076985777,36.48244844061421,37.01988518247046,39.62740801775741,41.56763717483998,41.77429964792115,46.144896200510914,44.34995940243569,47.98783937031847,45.1901423157439,43.681226052783686,39.094778807062085,40.4790631980516,36.289159307003274,38.02134942108178,35.49281144977729,37.30270238099858,37.12097048474224,35.10267571116568,35.64196417562369,32.484290297100166,33.09763435051866,28.249107219924092,30.081257147211453,27.18594599642264,23.738207176763247,26.049546065407583,21.93560003112293,22.37395290289097,21.37330893504938,20.344403334567765,23.000255279922428,21.528079486785344,25.41730618348951,24.298664227942776,30.151849215983226,30.115521093232662,27.491674228210165,25.29241500151024,21.01524742316239,19.250722835590487,18.178373975963932,16.441666329873165,16.79648474807542,18.060833570641442,19.47740312323749,24.01912587260873,20.817190800804354,25.263973284553533,25.287913825817576,28.112094657618513,23.021011727711105,20.54842453629643,15.789397414234745,16.234134136807718,16.03299139498513,19.987859903755613,21.223540360185737,25.86812831487078,27.173772547563875,25.049063566819175,28.283847935299274,28.781585873037784,25.60292191511126,26.342677166694966,25.71749858054553,24.98728153983717,26.275672115225085,28.22497667023468,32.10641262146122,33.64886246427469,34.763404065566256,33.99336795557623,31.48733947931356,30.495283258875723,30.93179657619537,28.1967556468135,25.924456165536263,29.685755502550755,25.81684448773216,30.280102495553223,27.743074251192773,23.843211829460298,24.7516258489599,24.422803673308305,20.995423565272674,19.045836816336553,20.49207689467257,21.073469191143666,25.90321555327564,28.793234497238405,31.373761614557292,33.21815453681325,33.56924565585392,38.059482575909854,36.16576611943732,36.16959899339071,32.71075346056183,29.662077700711233,31.73950995979435,32.85484855574926,30.351081994546227,34.208696110080766,33.93959458046375,37.1907296647369,31.787553227008164,34.43110559212191,33.73395095658637,31.379282652249298,29.119900139774494,26.675466097456354,26.814762321713385,26.278930937603633,21.87074584998279,23.628489641712132,21.14931156653713,22.293884724004954,24.49277754202254,25.211213465359464,21.397665222062166,20.332548427930572,24.264340580708847,22.070182767666665,16.701458793840665,21.082166449974437,25.364834604192872,20.240177599336516,19.91550817628784,23.892067859321337,23.50697271223205,19.79620864515624,22.21695664650111,19.741235953667864,25.82240478197763,22.028321835054022,23.1296835876291,27.167160752941562,30.504481811907812,34.70559636490055,35.42765980802862,36.276028664733076,34.73706832396234,36.920431018440816,34.61977635873724,37.53569101515232,35.76820558751457,29.952170356513932,32.89670717483479,34.631181452856744,30.081936782097607,28.362944173577898,30.99701464973532,29.480202530326835,25.39249452511833,24.96262972261109,23.345089796214488,27.247838299591148,30.3228156883245,30.679350551004564,33.698207929806756,37.06665587639935,35.05196469671877,30.53498573095569,33.26911003926881,34.94503507057813,30.302261818162883,28.68573461371948,32.15903056118249,31.2842792548663,27.50969164660993,31.380678162732245,33.1522308217468,29.920229738920774,29.320557205063597,32.74100231469741,30.430764229452894,32.619527080352135,31.126743528161928,33.670818547541955,32.325049675790446,26.757434913843404,29.07690575862248,29.872519380107626,26.833365687617686,24.35398256888022,29.25887810270988,27.81525226486831,22.257627503798858,23.415177761908815,27.58437073856167,23.926127541004917,20.58855710841157,17.42256007110021,20.265612005723078,18.14512976481584,19.841308591238317,14.888669409278815,16.006357158269775,14.331753438737215,11.087550325735045,11.002573215390182,12.166275533874375,12.616219265878112,16.113550525384635,14.065147867062432,17.734152911993515,15.754321292936634,17.0592777557945,22.476629632522396,24.953751478678402,25.912994242932957,20.838243297826878,21.873393423409393,25.51254710413648,22.533613078294866,19.66930049243128,23.39345462911327,26.6581379207934,28.9126124447203,29.466600342740104,30.41657639005777],[19.559293596181583,17.16336799200682,16.87096143967948,12.525860086897092,15.254336669708852,18.96775523756038,20.513420802023084,25.087554384958732,25.13373880851062,25.636404119468676,28.966928555589288,31.874332388437004,30.083271630568504,28.466013959913152,33.68092149185971,34.57704149374827,31.620788331216716,35.52342683877054,36.29628015038753,38.43506856242658,41.121703633242305,44.30672233748149,44.0275282840977,42.54640395446848,39.53476137551551,36.628997251179555,34.89226833515696,32.186472059399456,34.55360157620091,35.33688604605447,39.66068862966203,39.2632526000461,43.31858727979072,46.33477051100051,43.289464676375445,40.73591725394331,39.481053792718356,38.17995300790857,36.671777915559915,41.07708713884148,38.317084785414565,40.123910246545634,44.12929792747941,42.58189739119577,43.62012925770267,40.905132166861186,44.20245455200589,44.965099024553396,39.9574814989032,42.23331951590733,46.28820491938464,46.9050931667898,49.13197260116312,44.53851049356727,49.79141847837691,52.271470377783224,48.682744336421635,49.28611042971693,54.029065228124956,53.22353688449184,50.2027940442894,52.375802942753765,51.27509377394665,52.374354237837714,49.32934229928128,46.30377957357526,43.672428459864946,41.606403537221304,38.847682802072704,37.87289484587344,36.65039457786294,39.31420127548811,41.47965148597872,43.839256942358226,43.85620766021577,49.96424018170992,47.96654647406154,51.35265121793807,49.56416337168818,49.61675718693475,47.61683347894845,45.725547136567045,44.225174182861984,43.26065219476896,39.93773672165763,40.12256238930314,42.43400489314903,44.30400633272118,44.12838638376502,48.323252527392604,46.18181866560359,49.518069671209304,46.584192053418974,45.098701654301074,40.439684582350104,41.44666328899799,37.16825738534426,39.4815872346723,37.03949738326287,38.94893007395113,39.26643464221293,37.59538837109618,38.424019206780045,35.55323855588319,36.687181359457526,31.80769725378442,33.86131127096897,31.20138649197408,27.551443340436407,29.566447295702766,25.149647578258268,25.57649786169059,23.88963662292039,23.02578240880702,24.992267530921715,23.551917575260394,27.308687107011906,26.113675823559028,31.60738419784954,31.572525335891175,28.61088488438399,26.42410323953542,22.21645617602454,20.766756351448112,19.808001372973273,19.14831507606492,19.6257210992805,21.511664270561973,23.285672925626603,27.97632696083183,25.10563561588642,29.606437585040062,29.688008033657184,32.30672904604971,27.234201621398586,24.442446336905558,20.01036236982876,19.893202987168735,19.062012184627402,22.962752252190533,23.610280784920054,28.384951963766934,29.56034193468226,27.674978793105698,31.110134705439954,31.3959259943818,28.21152810089516,28.89181742319987,28.494029649477,27.278090795554014,28.766881507242807,30.049665369893034,34.14330649876807,34.988258566327204,36.1877108427293,35.91506822481328,33.49742292547518,32.990766065795306,33.40894945342344,31.269707925914382,29.216791304338397,32.70783760557216,28.989292509546647,33.626088095113666,31.452211642732387,27.449799622398633,28.79030228679118,28.391523202036314,25.18523062528237,23.01104722064477,24.602505963077135,24.830752343384898,29.690902464214833,32.47257171352664,34.834798792171,36.616021874789055,36.5359856743808,41.29307504489857,39.589222075388534,39.80381202615462,36.52217260388884,33.471244111722235,35.87800039810425,37.102673625137506,34.48290986181975,38.087602375232954,37.50058974492383,40.8955136918088,35.42015406317793,38.284507169249466,37.78404567882454,35.477680316834636,33.429312685660065,31.0845637813428,31.309670362713483,30.81317921484135,26.376323078877267,28.026654461554028,25.34895483108079,26.30298121857133,28.252397578054012,28.709284400897285,24.909893528383925,23.752270312668593,27.36207090468904,24.84242026193794,19.4545676322524,23.62157528349843,27.619488038194618,22.017373943303724,21.475793431945505,25.278453572863008,24.591842097762363,20.413500724056803,22.762816316891627,20.719270116232543,26.835157588356736,23.482917039153925,25.12634498954308,28.99534209394168,32.7488312692671,36.56573496176689,37.810295014821826,38.95867965294609,37.77801048353558,40.21243346615555,38.11552549294676,41.20778164281313,39.232576755247734,33.555213672814034,36.76469531698525,38.46686206366701,33.830091834304,32.35427628342054,35.16074287913507,33.392607902527644,29.234290937426863,29.271395002230896,27.37614825553448,31.401141386544474,34.366951623778064,34.370950083866866,37.38414869633273,40.47530616822364,38.51543132875096,34.05558362678763,36.358179510993345,37.92670612460746,33.32359744004161,31.513014763270384,34.59331959185655,33.46659891781396,29.642529065156197,33.516764057069565,34.92966416700652,31.308055492245636,30.869530648962005,34.402377125576905,32.377775379716155,34.99135197018795,33.92043701954607,36.58800469331934,34.77961070907844,29.34437685292832,32.17796291693192,32.686786451135525,29.421109434728766,27.523297295050362,32.43230525312072,30.47188632481384,25.04651675116445,26.793694839878263,30.61513300836274,26.466902490482074,23.49790164510634,20.038673050658574,22.361714620064845,19.56623102340402,20.95008414125825,16.143834597148718,17.956252059809746,15.871222093318192,12.280562382266252,13.365702454891197,14.800427331192566,16.107742280534584,19.596724925724423,17.773115729634153,21.699928226346106,19.414363172064107,20.012913791425028,25.464423524818958,27.628605639909892,28.36266841881497,23.289738413843565,23.86599822082884,27.201128487652944,24.19738743289971,20.81884173756435,24.442653487362506,27.288777848194172,29.572325266088676,30.24752038017379,31.056781301869126],[17.37084010819384,14.769519378165977,14.122773613823089,8.826097393138344,11.430162184718498,14.505580810497232,15.707809983899882,20.306653626595487,20.18129611175435,20.65574099614359,23.997897660553587,26.880676247851586,25.165524374024567,23.606934875237265,28.817159411653392,29.72331873297393,26.96744842432533,31.022265131527853,32.18413395825773,34.301195467122554,37.23421972571985,40.54381721160284,40.49228482289971,39.26388114166423,36.096787692368466,32.992767573956506,31.067083941107022,28.047491296221096,30.10360039322274,30.662838944959002,34.89933413998723,34.423474631730166,38.42143121304633,41.53671029623338,38.584059667614355,36.17727208576157,34.91590541713364,33.97761988429512,32.71939072041333,37.430759266743216,34.90951420890586,36.348057878997594,40.45728813188648,39.24924678919603,40.58580147768215,38.16393610977571,41.64187514247074,42.02002369102401,37.01734728284471,39.61292695449162,43.33643404819825,43.92114200911628,45.87729630375609,41.12291734798838,46.11172849216522,48.799717656500945,45.19507454278205,45.41415672761619,50.23407979259649,49.71544713448957,46.44928087524464,48.356225469275614,47.03822367712174,48.36464874715075,45.4609821754117,42.22807206566346,39.577355540621774,37.2586289229669,34.637565289633635,33.40710763523019,32.373441393872504,35.15659479334249,37.087940841521046,39.61401919496682,39.36407414530222,45.506065151302224,43.5724634508679,46.812833059295734,45.124476619434425,45.36660012588714,43.323840602326264,41.70631583952336,40.0388847634722,39.416132298297725,36.17322578970144,35.98607270218925,38.26981777582347,39.86596087215247,39.71521001328937,43.68680566124239,41.54107469166287,44.86010292896074,41.83239463531879,40.237891574426584,35.55635014664741,36.54981462366326,32.26586615383434,34.51133290930992,32.05752644828278,34.024145499487894,34.39021454228511,32.90077173218613,33.81003003644291,31.176111686313032,32.738627077182045,27.908199830442175,30.342400326084963,28.113050101129538,24.40474980394155,25.898814085969285,21.240879281030807,21.372105154040405,19.242662114437945,18.53157513022101,20.299645637702447,19.183374787182604,23.04462602961481,22.343109455754956,27.814340500357673,27.295200659657656,24.368910050630156,21.919322682417054,17.962220659230464,16.18310368520612,14.942759458661133,14.770335923601356,15.361574341607689,17.62154058995376,19.888557560539457,24.630469668172953,22.572911769181722,27.20811086876002,27.32950049973649,29.32062082264705,24.43797847806851,21.11912137201205,17.421488425575042,16.704355608701405,15.691032289464394,19.465258129086436,20.68250294224881,25.580326163155927,26.134536510172058,24.010465868658542,27.39854303187017,27.201169526675255,23.979230890269218,24.344297403684187,23.954498376685443,22.49385292996274,24.1603203870972,25.2585419738421,29.527087822998645,30.384251350502428,31.358012709357144,31.085973348946975,28.616521067720576,28.30757043262679,28.66954205309017,26.88419131718331,25.115657907125943,28.510511551025655,25.26816405727745,29.956105958139926,28.406861020873635,24.881931870786012,26.542488836423964,26.83023183985041,23.734476121578588,20.993725694302537,22.210719909487576,21.78351996517903,26.394944119696675,28.858502254340188,30.893843393162758,32.48729379697213,32.09577880583748,36.99096923831536,35.56043492318614,35.92031610103125,33.03371187170878,29.820436527274914,32.79724382583781,34.3731002870619,31.66492539560064,35.08600225120574,34.26319695009137,38.11095102848701,32.91697585007002,36.06045818653282,35.889847399938986,33.20820736638278,31.560170138964008,29.218583849186835,29.540550912416016,29.408328031095277,24.78181519401279,26.46414091294945,23.93855802727636,24.06709990484627,26.52923718890071,26.298623651989793,22.315111353112705,22.117363234040806,25.608742960713016,22.48421732351548,17.837585261608304,22.402468985010103,25.725931039244994,19.99318489240582,20.261403358998734,24.074112555946737,22.658301560905063,18.97392769536932,22.229869146738263,20.516892658448207,26.499685286689232,24.24230408332257,25.07479368919588,28.81194774684616,32.79348028638542,36.7169107561797,37.892217380317796,38.40213295612553,37.04615156908582,39.187576007190394,36.64108675153081,40.087725439374694,38.60852685062737,32.65299649823722,35.607632023930854,37.94396777691906,33.51744738619034,31.60218137280354,34.50986835514302,33.514174852465615,29.2865154450782,28.58232829394454,26.44023273148727,29.570610231553758,32.68786879712904,32.55666197615592,35.09938560308655,38.13500670716856,35.70731773726553,31.53862068822364,34.01993957615089,35.07616783939299,30.28918144111759,29.00132121192461,31.940668807614248,30.542514714131027,27.0609443667518,31.37035859771646,32.56143160640464,28.835987131523826,29.063868538912157,32.791874067053676,31.00379743928113,33.49403427353103,32.16471918711276,35.260136791554814,33.842425218111266,28.1946791524927,31.10134273483775,32.23802134598782,29.075529657805976,26.959326646495953,32.34929722155425,30.997485145814665,25.40082740940583,27.001731349552028,31.46047498281552,27.7719941530227,24.69262570463153,21.011436842142786,24.40031960305244,21.850127364248454,22.597174682187593,17.363029588502506,17.948642506323363,14.88091439691085,12.6988663503698,13.677586018543883,15.99636868041543,16.440064357858443,19.08528677252125,15.920324593023697,19.51715749270411,16.27849272694804,16.940717834435798,22.047098731601466,24.37990548785418,24.46048078102361,19.478560372390472,20.64062446584275,23.587032522874757,19.982706222355205,17.23373766663218,21.361628898724696,24.223652031032916,26.590335631538352,27.395179268126743,28.18044725241104],[22.519520210293766,19.67203940136141,18.098409215363965,12.946622273850817,13.234155546583603,17.261513088613306,17.228461802262647,21.773919317383267,21.66731234005147,20.97438338788967,24.41054411980116,27.590507021652844,24.750861301514814,23.145804912736942,28.2020069974591,28.838467930385104,25.34573875793808,28.94667914661793,29.339289389348046,31.358735044831622,33.893177530836866,36.97974479345108,36.663117613320296,35.13778153501841,32.126241553690306,29.30190561323019,27.625337171321156,25.15042416557456,27.86270749126404,29.121533070004244,33.57811984686627,33.50837322375834,37.71201320015747,40.2864591104006,37.070570613480044,34.185428141334036,33.1728908732032,31.2744845764308,29.657590275216545,34.109439867256526,31.083816715332155,32.84150482974609,36.83714617614875,35.221447452684814,36.210629383247635,33.55476667103483,36.91702970990243,37.646268891239274,32.698378901176305,35.193919328808136,39.18330404181488,39.96642360302295,42.11340507728351,37.478076271523626,42.8364265796364,45.111137041651965,41.40832003732752,42.1453136753661,46.853432657633995,45.8861987354776,42.88114328724606,45.16647491023916,44.23671835233093,45.18796250199396,42.04619308912514,39.1454761138707,36.63617855691315,34.805147262346665,32.15644646945773,31.60006854063792,30.392457446584565,33.272812994301276,35.29282346734276,37.24093674592782,37.34357526180277,43.32281864954122,41.12095590322152,44.69119047282813,42.783754719983094,42.67317478918392,40.909604666984066,38.931026284330606,37.865875326559056,36.84841111876492,33.313267768416395,33.507793287650124,35.53929283299425,37.793118183378,37.34446760926462,41.87570429267898,39.73905256041713,43.18812761215991,40.53246820250335,39.35905503803756,34.853941587823705,36.236093271248876,32.12939825633332,34.38437922263422,32.29760939913423,34.901029313317984,34.25355499694954,33.18321809971156,33.15784296569452,30.90350662909023,31.748602865089357,27.300161252215084,29.93109519166393,27.528001776067164,24.476917898429566,26.10249973826787,21.815553871399572,20.902873690839474,19.298428779061915,17.343030726129435,18.988407963610392,16.916083535760507,20.46350987954978,18.91637635052157,24.534672019501922,24.84157381518029,22.06012315227674,20.211677518334273,15.69462168960094,14.625233115738595,14.616762651497533,13.479615181541012,15.970351463503146,16.961443182827843,19.3500707762385,23.50636039726118,21.349711752994544,25.96384625663263,25.202356568724035,27.536400773565923,22.106284874128505,18.93988290356861,15.288614008508489,13.72418078357544,12.11489016068187,15.902922240326921,16.20500489551716,20.99624506936632,22.173400477033017,20.433506818452223,23.939203541985126,24.549355360908937,21.476987799840952,22.779807155872405,22.962124958733096,22.470971072568346,24.78274370911796,26.55648300509705,31.00638249564514,32.63983303303406,32.944413503437815,32.04807514762109,29.03175232986548,28.585759342423177,28.1517742606237,26.176302977241182,23.259462501375037,26.240132306322824,22.12884203020965,26.8360816890764,24.822470160109155,20.69359107444847,22.71050422468618,22.503415061304533,19.845163124187373,16.98314289535528,18.800086746946565,18.463956057804445,23.42951858009346,26.290633749237013,28.658428458926874,30.871081483657093,30.616440039419775,35.53276667163889,33.405579155736504,33.962821282105416,30.399942680267607,28.024428576037906,30.46153977677548,31.62005520628753,28.64677073301018,31.638575825227576,30.653199387234064,34.122320555333886,28.63872498325183,31.81073000417235,31.751153671686716,29.419537269559772,28.042044195687943,26.12623638037092,26.94052394674707,27.300748029203124,23.107528487058737,25.551466926013816,23.830703421357345,24.320662657793417,27.481164745387947,27.629280107451354,23.56844631782385,23.757226665976198,27.723793724287777,25.003938676595993,20.499067605419235,25.26499252246662,28.910915475719435,23.69293505671299,24.144816243756466,28.09323339049603,26.932091544572415,23.595977759833236,26.79072929682149,24.683851313945574,30.673193528298164,27.63310811822555,28.258711234554873,32.202269696898654,35.62889862640388,39.92138406304652,40.51843728465599,40.8625772835545,39.052430907676765,40.850307773977214,38.02408444201321,41.066638754948535,39.863751700029994,33.77529805578998,36.20850653821479,38.39184267833766,34.108780873705335,31.832800820020488,34.15710990962105,33.404253044160484,29.496450802373168,27.820496328797095,26.70515402293706,29.500271099500917,32.922776635653335,33.58900660147954,36.0457772549623,39.58344523002922,36.88861843107533,32.75611216293801,36.01756179229342,37.06347493138296,32.14738299705691,31.363987451869264,34.751009921177214,33.555669605789106,30.262046047731484,34.629549518849544,36.13954186767695,32.751555303812005,32.935265380785,36.55352563271447,34.48911661998271,36.51286867724002,34.665150862919646,37.56096077056115,36.70172573350436,30.952087521100214,33.12634582153404,34.5181186060387,31.645603443396237,28.793515175057166,33.94211599652679,33.07641317662364,27.433408950465626,28.140790789225925,32.72978135690048,29.507373542224126,25.96351427620845,22.9586035496684,26.13166488632269,24.21998255814347,25.79837330918349,20.69325855307764,21.195134030376135,18.767189676614187,16.44105837314891,16.385014739080255,17.84149893644654,17.52649138899418,20.50414882718666,17.086326506387216,19.94208243030358,16.742246328186038,18.961630004883222,23.746143469540463,26.675909323303546,26.531389350045195,21.682254756585564,23.811676401135355,26.807695923376667,22.711880795896384,21.024226901772362,25.42430914002921,28.509565629233418,30.85119897036295,31.561024605140084,32.31810315552515],[24.54121524681265,22.263225261935336,21.734247825228525,16.051605687803868,17.576955804359596,20.13060929768156,19.907884796433173,24.363920984296907,23.13385515083539,22.035435155502846,24.979259883500628,28.682236040162024,26.061837679335735,23.438961805673244,28.512697413126006,29.726431242954526,26.15771838956308,29.398701474524312,29.28882886669613,32.042237485478985,34.2125501462791,37.68509865136749,36.890342718994575,35.466003894879464,32.85124037792578,29.667230451407885,28.72350311652689,26.225538273590445,29.048088781388202,30.68047542881253,34.170437083226126,34.98342442921144,38.89584843059957,41.32005054554243,38.48533061755664,35.42952148342219,35.142560097511726,33.030755678731204,31.73027786960217,36.650629026100454,33.144813329326766,34.164454503115145,38.352548891725135,36.7538983981402,37.33083593135088,34.73758988096201,38.20088646587128,39.31428828615334,34.646834647397895,37.610822625133935,41.53226586030091,42.712920073501564,44.6516882230759,39.92808109352279,45.297212980963295,47.23289791272957,43.18407583417307,43.91874884997605,48.61029505823734,47.33182404223983,43.98269529158042,45.994637691506,44.969452482416884,45.42256276181347,42.53043141808679,39.911238723211355,36.61206194730124,34.96158694884842,31.584418050438803,31.02994317019816,29.315774114417547,31.658077933004087,34.31092277996616,36.419226430260224,37.194840406870874,43.24763473266243,41.654629432853156,45.40298903402534,43.934893417036186,44.13892629353444,42.937360225661486,41.337352344374175,40.660455130268375,40.01463029912094,36.323738388238645,36.06562614480584,37.45084114961704,39.817509474753436,38.61148748398328,43.02913390653327,40.359802854320904,43.33488485024843,40.6711738863904,39.76234541697983,35.29817287987334,36.25528720080647,32.167685367893185,35.32812341785974,33.616929068559514,36.693563169753546,36.30516690157525,36.03576744306887,36.00828270263622,34.450366406633165,35.79725782851989,31.555030395636855,34.58641218065708,32.52522923342791,29.47700027150641,30.67563051779815,26.173562993977935,24.845231953046074,22.472442266737627,20.380101607573312,20.72996182408888,18.43792907261043,21.386735084228167,19.449258804618086,24.225806014718266,24.868467339651527,21.66220092948761,20.20146656938571,15.812990805459728,15.74855194682039,16.50372975795159,16.834197685651656,19.998139705826652,21.372169384198493,24.21328110053026,28.26747950714334,26.63005786517033,31.256762213111745,30.286357791295597,32.34167579493258,26.895703246850495,23.41520452828625,20.422306570566587,17.99142137460286,15.416422124459382,18.686713029997414,17.63776033366285,22.30761306629467,23.362533566771766,22.267218160904065,25.978741735370296,26.499051255169103,23.622019674625605,25.14721874804235,25.938325837657864,25.121748796550527,27.985205508018527,29.02242993112427,33.83170672347213,34.82002734482326,34.834732205226615,34.3740860626324,31.25879778190939,31.53075212752078,30.68675723542059,29.64229781092532,26.704835475831896,28.96172695726391,24.958705682685697,29.761351880343444,28.2979233660756,24.036088268553915,26.7846810337167,26.409156838984917,24.330241115453312,21.20711940260698,23.274632448128358,22.41674090758365,27.282083605490914,29.989783469814824,32.04389508900647,34.34601042604802,33.4444741803709,38.7037365923148,36.63750911565235,37.62081012075879,34.174482797653944,32.17491348461302,34.904171354116755,36.087995883420774,32.89074894907228,35.22770981382333,33.66195765329685,37.189025471316796,31.672864536727992,35.16552984485518,35.51975385164978,33.383986213838995,32.51705694131792,30.936190227644868,32.0340276303974,32.65819399334604,28.579315948560215,31.12103222578951,29.428084608190527,29.725770539187135,32.89644891156155,32.77252851812258,28.673582890884113,28.9933053197084,32.77617465666193,29.71781327200223,25.300891056594665,30.017083555636237,33.37114377848218,27.75972299142246,28.193163770486073,32.02101629561452,30.4537622206066,26.850163686675565,30.144973009832228,28.420905434500014,34.44227743092958,31.79339528226135,32.76975241858344,36.616872321388044,40.370827427760226,44.430683735771915,45.379999544916394,45.872526023549334,44.2606681249144,46.174976148034354,43.382099250030244,46.56160837587335,45.308604403859135,39.23970366463966,41.76329271707286,43.975915155361086,39.648197728255056,37.43841631003126,39.78542089163892,38.942522168640345,35.01762920060982,33.443618228575836,32.299152988490235,35.02332399882219,38.452199078787544,38.968394602828724,41.30603577336316,44.69204688748083,41.86187475632196,37.87219945594432,40.94517959620401,41.74786797936015,36.79962100774476,36.074196032193434,39.13338452816041,37.64919829610145,34.44912187762633,38.941367302328246,40.09391878411215,36.348912434283434,36.86837915172133,40.62640636225277,38.837068802663104,41.15801772710794,39.546356885877515,42.61051755635281,41.50025781794492,35.783789075631525,38.30499838797515,39.589902822310606,36.561867264720334,34.022358680646036,39.226764711740984,38.06092085692154,32.439589555689295,33.4666251193086,37.882456455125805,34.33121394419787,30.944624273724788,27.767382848923567,30.569497239883994,28.2199889608976,29.680478062677754,24.634968957651132,25.58945032934841,22.79176686048748,20.27603418097858,20.915660733127662,22.512103816592923,22.708979888428125,25.796629075099112,22.400428187124948,25.349558080983098,21.785068625610815,23.627072432071618,28.26262304890863,31.032685819743087,30.39871668173679,25.68280134133331,27.696428906913546,30.225095481011984,25.81681252398206,24.084337946724784,28.54018616585115,31.16023864621012,33.52759877378079,34.38433014921133,34.96477473866664],[28.32189220880058,25.997533169627758,25.286051523890638,19.708338826882645,20.736400052574567,23.661721801326813,23.13183469413179,27.510193691172503,26.249340489318126,24.661726885458208,27.508835905598744,31.35603843737443,28.272216154965328,25.526267279684816,30.396297220919354,31.541938915400543,27.598663985553532,30.387398356939038,29.586979261534537,32.398626177295725,34.1140246569413,37.4468549877308,36.29838493920172,34.626664599101304,32.323025039718786,29.36235774872646,28.84482109012983,26.839635108896253,30.086199071782723,32.201716531710076,35.593937604936976,36.79234564737256,40.728731953387545,42.77979338874942,39.88080711284555,36.528942014370315,36.522841432445716,33.76545342781883,32.27300311479725,36.960649568089096,33.027542815928825,34.17038264118371,38.236003937899866,36.29669331256091,36.43228861611849,33.63025749526158,36.932640809255346,38.504221751186066,34.00618359534114,36.877220532883385,41.00623702100575,42.39748495562661,44.47379739943847,39.90467085270974,45.5222748715055,47.04803808252267,42.905847203608104,44.069296435032214,48.62023765414562,46.91716881476526,43.75883518812146,46.00457562644112,45.27113098425793,45.30441707376658,42.30767219014818,40.05703383590843,36.71197487809549,35.507429055318966,31.96416205069836,31.90994286915336,29.953858968258157,32.13798701164217,35.02005603114512,36.7278519669611,37.940886850221275,43.827567076105865,42.205643892900554,46.18899871211433,44.671328936558936,44.67710313139499,43.77842111528486,41.98602929806379,41.78203981077721,40.89503778922072,37.036497873513404,37.01738644451617,38.11800255138429,40.92731815918027,39.410158643783646,44.13705864856075,41.397384338926976,44.31986129609689,41.923521761142375,41.341662342799374,37.04488900317055,38.12229759740584,34.1924863486675,37.481897213253745,36.035288911627354,39.43551220457797,38.592099514531036,38.59086489528512,38.096866837746084,36.77343703988341,37.727300989414815,33.72410140943559,36.76890533399303,34.58047429478734,31.859877780789088,33.18645372353537,28.907334597324382,27.20845876801635,25.123164810153842,22.51978905126587,22.675150508640034,19.880356439648537,22.361883302613997,19.747381453990464,24.21126881732453,25.594795031545416,22.484444294553874,21.60568967729842,17.105711651268585,17.703456560742353,19.12003556390402,19.082223452674725,22.871946975657774,23.6998438655165,26.458021520193217,30.169440461790664,28.373854995312435,32.883842298548444,31.462312532182608,33.77993068083199,28.114528073723,24.896554499415355,21.92749629810782,19.252034191884803,16.421161688017968,19.399803229047667,17.284717105839555,21.574922416264965,23.199905278465923,22.631723219129107,26.3483342930759,27.449438971913132,24.79339984911752,26.884695821657424,28.017994024568726,27.669809951097704,30.78144901301831,32.05800872091665,36.911981996012955,38.15000490107917,37.900341321559075,37.21893316796273,33.885680772762896,34.13353996728844,32.895156261901676,31.81330414588705,28.30725217837488,30.20513239842554,25.718897409843144,30.406144902942412,28.63904280018203,23.969495960286565,26.90929615638161,25.993415049761445,24.3480617079342,21.40009695395819,23.879815359789898,23.19385917239138,28.144324055171847,31.06334655144574,33.28987198280926,35.94229835260302,35.10324689423691,40.32293356778291,37.851607121410964,38.96041170461227,35.11282872296349,33.690131757311825,35.99191271534765,36.840361378416475,33.5349528669116,35.51320336906836,33.82765815715386,36.93828831700241,31.24268818588781,34.674070208610125,35.08304298209147,33.358314538159064,32.652157180350954,31.408461857836592,32.772566300356424,33.58433639976123,29.86068753327429,32.72316223628765,31.37354973603716,32.00252696662131,35.32063531684376,35.49199081352945,31.410741948531825,31.664773203245375,35.64165470133626,32.84118345660916,28.298706886270963,33.01422662547922,36.63285626853301,31.16926010866291,31.494948028913154,35.388886043661635,34.03420927949672,30.3917847386095,33.50963773793669,31.59005057342556,37.67325015717567,34.50378725542341,35.61274950068516,39.56916008875078,43.07443035343003,47.2360322062324,47.98935571940409,48.590507624185896,46.84785192830919,48.69438121906404,45.8977356697062,48.812173066201694,47.555665060223234,41.51586855611042,43.870861660126856,45.83975805352887,41.53933228438904,39.300057548224096,41.33053703924753,40.39135869676009,36.66971683020779,34.86443504400589,34.26050425047417,37.03245762645133,40.538706411012996,41.425889046110946,43.82530306792179,47.429299203513736,44.58304200619581,40.557960796265455,43.89809245326921,44.79800310056297,39.83544667382594,39.19161197090396,42.44241573291587,41.072743190045934,37.858578095477114,42.30221235372436,43.606772062408155,39.97113213961485,40.3470408287225,44.04654352136957,42.108041137010886,44.30521723145047,42.56196583589574,45.45796470290519,44.46088733949463,38.74664227538087,40.98605337017888,42.21354795766564,39.26720710575371,36.50993353294415,41.48437461621992,40.35007038666795,34.77293750761502,35.483562998811365,39.74800467664794,36.273460602574545,32.760765191169966,29.93295664096606,32.32303647040054,30.170322952849084,32.09135493500892,27.220572315592385,28.426419134036497,25.998866737430056,23.154061820645545,23.51809153064441,24.630982361529295,24.767715936474353,28.147005690195527,24.97695749142316,27.718629447047306,24.392899960370055,26.714027887494204,31.306625578126454,34.24661630260114,33.65033034087568,28.960085130130913,31.17143884470296,33.790148675744256,29.317558319571607,27.767194092343555,32.248543003303375,34.93647542902495,37.2743468235761,38.053521697264095,38.61344344596739],[28.400549979687337,26.331826598453723,25.919555848634804,20.079467135179563,21.297497492347112,23.099727428063993,22.166658682601998,26.28847603507113,24.349738009138377,22.431682364225253,24.899886730273487,28.96407487662852,26.048938184218144,22.788182980295154,27.5506397379307,29.016471476192002,25.19787937217218,27.829951092973637,27.025838661398307,30.24357261498678,31.944546161794495,35.59312156537155,34.37360676377004,33.00119251285364,30.787059178115907,27.45887933147997,27.21249085453409,24.96243659787242,28.005287231424564,30.161582560742705,32.895350607788416,34.54493279582086,38.23889926543424,40.25393633540854,37.65587163845991,34.33986647054384,34.7374152753673,32.156594883005404,31.047861089152104,36.18268594002509,32.234749034593456,32.66386692940315,36.896375216590094,35.26730602532045,35.44606755151609,32.95142716305507,36.44865952401634,37.86929683133334,33.53859857521516,36.886970179616455,40.67955197159067,42.22696718234632,43.96747488923541,39.25059058205767,44.62286404384413,46.14829354511545,41.83579827183151,42.671138748206815,47.2596809825383,45.64423205258499,42.106538187233696,43.97247495616349,43.005215793081945,42.95161801956281,40.22274422479262,37.9609913122577,34.1558464983547,32.85489812614183,28.994857644072063,28.748762770370888,26.628978221325855,28.56576825615905,31.652195101211884,33.58450066135233,34.98507389142101,40.92694505042558,39.709245849564034,43.66254030311531,42.47376155004294,42.803196528334155,42.1725881435007,40.804380087581286,40.66612419340892,40.23344197344258,36.39646425318725,35.86109381050627,36.58855373570201,39.226126915752005,37.324684455905306,41.788857019054845,38.75975145208931,41.385597682606985,38.92607685034877,38.42543644429165,34.175905625245605,34.997192519484926,31.128018524864558,34.8579241900763,33.65557583276311,37.330903075121846,36.6394607273444,37.202028496339935,36.75005122499141,35.97011055218788,37.43612835332666,33.627103192920245,37.04933445088296,35.31800209898698,32.60083406269662,33.400604937977775,28.991317758401358,26.921694568757893,24.270504213277814,21.692441148468603,20.955100135937702,18.280414633206128,20.377745363149863,17.94670776820934,21.790394509783486,22.989477671371976,19.677404431246078,18.911910712032473,14.788827170764037,15.873812315944274,17.666922176133095,18.651252442554835,22.824802150429708,23.93644130385304,27.11015536249394,30.722881722160956,29.678033874217626,34.21184010414474,32.78744918336398,34.54060800149104,29.087454902949265,25.44701159231965,23.28764453118995,19.946393760207336,16.631259177238114,19.14074112057955,16.837530635516487,21.06147601931724,22.029716636995296,21.639900609229365,25.369036655601747,26.03191220294816,23.51134562573393,25.49173079878563,26.966167737528643,26.34940008098863,29.81718603272203,30.590717223044475,35.631480519065335,36.544423052242585,35.96985341050727,35.51060823753884,32.13293583054767,32.88490351991878,31.381998154840687,31.046035797667635,27.763874403395562,29.173581985135208,25.16694327989243,29.86959712508539,28.87741985664893,24.610137533235104,28.040417714470976,27.607695031907145,26.250699823916488,22.864988215623338,25.10269143094613,23.74109327975633,28.368517075718863,30.938553774638272,32.74351083125923,35.27184091482123,33.89240519010242,39.32518557766536,37.11031194128733,38.519463757710575,35.064472082335975,33.71151097403294,36.5204402794029,37.63123272169581,34.21042528047467,35.75537883269363,33.635843203997524,37.11178531347669,31.69316219764883,35.44730316211767,36.27612603545439,34.34949662802146,34.13360616430201,33.00684371069392,34.49746038800425,35.59751199699857,31.80120628817004,34.64164260985392,33.34994144680229,33.42540489988346,36.95805969086213,36.62672236292667,32.502994852843734,33.29682341277172,37.06513099829694,33.851333489985606,29.805072583837063,34.59772031182548,37.691026925265895,32.10501379302937,32.79484761704053,36.56913768148382,34.70881523280643,31.27989548088392,34.78912363883162,33.21863835974981,39.179590324747934,36.76150387206386,37.62419861022112,41.436056682558785,45.208591452104585,49.29212183260488,50.19333233267291,50.51420219372112,48.79368013241733,50.5398205482654,47.53449497261945,50.7225114031897,49.711903478251074,43.56160353114422,45.83421342426478,48.18320957682625,43.98615228861063,41.56505348740435,43.70442816541414,43.15388060804562,39.3590358927801,37.27938179059691,36.44440681787983,38.68883722109362,42.237099601330215,42.932886720339475,44.995452140424185,48.44706769305958,45.30536845997325,41.55615729460642,44.85223480932129,45.34087990120308,40.32881867645905,40.00518129505309,42.975994171097696,41.34460739990341,38.41634790281129,43.07487115597088,44.07578025671151,40.27844735890081,41.149634215976036,44.96718266216069,43.30478535543911,45.55821583519679,43.813853886204654,46.999302707482215,46.08703876843482,40.329335140045536,42.76700510989763,44.26246770463821,41.30490695367765,38.624717935480746,43.8687499991378,42.9023523617275,37.261267522749804,38.09446841781874,42.61408621161557,39.20288871478715,35.73295840797714,32.66218932582217,35.467807344931586,33.18579735374597,34.68553440335594,29.633346963229748,30.47609800454429,27.51544374541104,25.21773747054967,25.834542717577627,27.41973222638927,27.422314126258158,30.405118637624014,26.6722183018068,29.238543754561316,25.35270447573747,27.50783453331808,31.705823623784646,34.60186221288589,33.42098256442938,28.999622671594,31.427241890468203,33.545357405694446,28.719214940764818,27.616253673849222,32.21712875036,34.62299708407096,36.964696299316145,37.865492737690296,38.314846306420975],[25.00553839234666,22.526501593601665,21.398253948595055,15.704923904071261,16.087416899572844,18.472143417829443,17.463744259172195,21.72408450582003,20.4837920812381,18.828773083864547,21.816709192998218,25.54810024565396,22.46534790538383,19.961322701837723,24.932025444127255,25.968604353255557,22.226668333223763,25.420559410937543,25.34510439020432,27.978155499954234,30.23858263713389,33.69467563144491,33.03986231394049,31.696675237879855,28.953231184186404,25.73176504696935,24.65890805270837,22.11976224650433,24.975017680789772,26.709070450704882,30.31300289411656,31.14984594498683,35.12450413573284,37.41076947300781,34.498211141677736,31.375461147604163,31.12264338618789,28.918848994366545,27.651926446041422,32.670128817195845,29.208928827128204,30.11156528930036,34.32852491635886,32.84944202702858,33.58851557570837,31.148611240021307,34.70787052305603,35.58559514266783,30.921244465218116,34.05935461910666,37.80310010823494,38.986813471152736,40.79640351315483,36.007967397124204,41.293867839066394,43.275031774067905,39.21903315024574,39.84268969846836,44.55523627504969,43.3751333745498,39.96643327135606,41.948773510686166,40.91129805908118,41.46822752457302,38.554511197758714,35.85511714570643,32.68248143550004,30.99823277451218,27.795915597017615,27.32544392504557,25.748456072839485,28.330143660769078,30.745428174424216,32.72918607716936,33.34577052812385,39.36695330956196,37.63029996259242,41.380809738821235,39.84667067113079,40.02304797007011,38.83621058470165,37.27321058137907,36.66721122167982,36.1032583227894,32.3940702698492,32.02968745670121,33.342454966172326,35.74482420179878,34.514803471968186,38.99932560472197,36.39328545690065,39.47517502260284,36.89039024524901,36.04057621818796,31.63433084083611,32.805209723105385,28.80041081787288,31.792791583986208,30.204980784371607,33.523011662016216,32.71476312619902,32.68509841393664,32.33041370377757,31.070043759514157,32.39206965064021,28.395541881660165,31.68809635003903,29.885285028093545,27.117532421282682,27.999867366746578,23.625988656562047,21.707706525779454,19.327520236252766,16.824677851935302,16.91473518375191,14.420191183192026,17.305469123447427,15.400740444853692,20.346281099274478,20.917759470189246,17.81892730921386,16.3941456904923,11.876610641185877,11.946657511518179,13.19851848487085,13.499604083212313,17.5169443657007,18.53277023980228,21.646878019988236,25.36842646645634,24.306839018558115,28.87595947774251,27.663999768407688,29.35350555540449,23.98312148719716,20.277567673223423,18.019960601253597,14.85845886527655,11.86340697245228,14.868580650291502,13.905902093838696,18.65453290936508,19.40042660488886,18.23746572762276,21.948214572607203,22.411919417075858,19.579710599793458,21.263647289614994,22.299089039234495,21.766640272472944,24.95841393676464,26.181271034873333,31.066893554521776,32.43600609387569,32.045371353656,31.28081568463059,27.942449642652623,28.243558267980887,27.051621633848402,26.158974842789092,23.003969408064318,24.996084393940816,21.046654886562713,25.85355212873216,24.71222670840883,20.6900412605463,23.764534799543306,23.78556840148503,21.984253650583483,18.48203433451319,20.390686058783,19.054789227086758,23.74433153304081,26.31733575698462,28.2361956468593,30.61341810707095,29.578887664727386,34.88416016988301,32.760885264072435,33.893838245933146,30.51658404410375,28.72549207123584,31.618812221710243,32.89564594043604,29.597330922851693,31.644325448890335,29.880310039995095,33.60168965965194,28.257823875973667,31.928602906850312,32.546154974742706,30.248976552224303,29.765711652610513,28.34273026682451,29.63328485576519,30.639885548893403,26.671477239666434,29.39602959006404,28.094073861257833,27.99322997620999,31.621080909065306,31.223533680904303,27.103497071120707,28.101249147997283,31.884231884474037,28.712276303764604,24.886336162652988,29.751345600263978,32.78972193362155,27.448841971171316,28.362440977335,32.17898422435222,30.3820079611707,27.270471431082036,30.937058486068054,29.231769718238233,35.105792348216134,32.78078925575413,33.2110994178941,37.014493905245736,40.65536695470761,44.888234796715324,45.57210167414239,45.613244125013146,43.74937379258112,45.34831361767752,42.220839229072865,45.44321207243975,44.59928032587911,38.39226094736358,40.55822878664903,43.090215579072584,38.98992425292548,36.43284967062546,38.633519580707706,38.36406383879883,34.5458172621176,32.26518443223468,31.292747590231777,33.30213101396871,36.85781432907892,37.545812970803304,39.53426093783859,43.0198095725198,39.853485121187944,36.11390806253276,39.527000041319276,40.02054658131522,34.99830179573375,34.77763034616872,37.88485221169161,36.36342889306441,33.48318147668989,38.15920839499136,39.31581427939823,35.72978469855105,36.56650742039504,40.33220427778765,38.57554505122353,40.60911579057218,38.67212139903148,41.8693109080835,41.20660871625328,35.407286160654856,37.66997999606322,39.39398336298,36.565443442722895,33.69037559861704,39.025194679507436,38.39651682598753,32.72746057369703,33.38198657666984,38.16621872677608,35.07053254909338,31.52566596286484,28.45647868854594,31.792098917572975,29.7896484046,31.131740844388094,25.933957252549256,26.20132852121396,23.221016509449058,21.40074503166169,21.64269707468842,23.398425073936192,22.940018878074547,25.560236500658604,21.487449900471336,23.862653966228237,19.900818106674052,22.261349261461636,26.390050447452573,29.41139432354938,28.33595467734263,23.878428171305394,26.546035209969613,28.827629433965456,24.0199595070547,23.1653302749419,27.85325379167516,30.548823846017466,32.90554399499553,33.76355929034303,34.315352564525085],[28.688178736045227,25.915107712191798,24.186839765456934,18.91613776863131,18.281334745060104,21.894569814740287,20.717885944149707,24.900399771973827,24.22947344767433,22.219797203464783,25.32105066429083,28.935029607701278,25.14294975095491,23.055289352621276,27.715544947493036,28.325001614635575,24.1001744739591,26.843226248661125,26.04728262152265,28.302596415639464,30.116825850183297,33.12474123723795,32.242551751510256,30.43345091121848,27.874896395165585,25.21943731612032,24.310658336387878,22.554263820809567,26.010621640591097,28.2377325157301,32.27940630658579,33.13720608953157,37.30869292001562,39.15793717641653,35.92489542936559,32.47391107446717,32.1858387055556,29.13143991439901,27.347235413270745,31.721800942365867,27.866515826920526,29.479829132525275,33.41011859593274,31.37233906083169,31.70912694700105,28.86365145736597,32.14789202281818,33.48900370861797,28.841701579442407,31.546658020939837,35.711911834231934,36.966278900112236,39.145813455394006,34.62133949827702,40.31641901529202,41.905859261155264,37.910634942798424,39.19769982170656,43.72876839115322,42.103608666311516,39.19465155148473,41.71511159023174,41.16866912083752,41.42400738319945,38.18203785983637,35.84213082889373,33.09734013977118,31.957137492341325,28.960420126329574,29.212588399600047,27.594150676106388,30.270732676487455,32.63362105276365,33.952350627437234,34.78824321282686,40.528738351305854,38.37316528551404,42.36020854104571,40.47874841969426,40.16243886936725,39.06673912655915,36.964200915230414,36.82600896268592,35.65243811963105,31.768433586681965,32.0697688694977,33.36844774197497,36.37407519946414,35.15604360983159,40.17067946000528,37.78787123150017,41.08050489134454,38.87703602942345,38.326782355145994,34.13492045320409,35.703837020346995,31.90720941748405,34.56047300972533,33.11834508682271,36.57752135181903,35.02342387135939,34.887291782888056,33.884873805266984,32.536708044266746,32.9662762697851,29.20764242011087,32.24933878704224,30.04205659498781,27.765698011728556,29.10457758395423,25.210706402812058,23.041813462644022,21.5600506087856,18.416484664564578,18.99897142278457,15.867584414276596,18.393790086788254,15.612982668764499,20.7032564264561,22.206838849348923,19.51992842383308,18.728650120760374,13.989227605879876,14.465490577193453,16.20163858300174,15.100817251675181,19.5645008670385,19.554051417552675,22.22657612080106,25.464714064775457,23.821505975144213,28.185474559590524,26.396089069367257,28.688964273608768,22.96552898231351,19.88930844571714,17.257657942695957,14.192981036549673,11.2960011344963,14.19113384946157,12.194917375598209,16.580213273368244,18.433220933665282,17.687378961937526,21.324875758103385,22.806586458268367,20.189918555163317,22.627348589485855,23.80074034307352,24.141807236366496,27.320626761818062,29.2628110861775,33.97112023420219,35.9832649242309,35.44926937895555,34.17535151464021,30.628028708477206,30.4769810510197,28.986308427030668,27.476749192949462,23.473024868280998,25.363845942224806,20.52735838344615,25.128394915920886,23.098039188947673,18.378258165907134,21.36437088068012,20.578758994709855,19.102620721969537,15.979082322506034,18.498063837760085,17.781898140184616,22.742563754119963,25.781428079030785,28.187296701819992,31.05294917791382,30.522170130886224,35.550176233747685,32.77295251395772,33.82649232872447,29.735215490346626,28.60601428578036,30.64135793497287,31.373196449437522,28.026910388353418,29.94527194952652,28.35998468299108,31.41465362649952,25.713624529674384,29.129584767144593,29.561997964485677,27.77523418737914,27.210522119121606,26.107420249197496,27.656942412184655,28.792902728691956,25.313250108253577,28.4658959881613,27.653716993155665,28.193104670368296,31.96411083031911,32.17771518151502,28.142409300934457,28.887147610546474,33.015048400755475,30.426541628054327,26.3289853315274,31.156318464224107,34.73961345423394,29.791880921233663,30.48212406320771,34.435364680188286,33.17469466097499,30.059446419888467,33.371815016272635,31.215685552048605,37.169646244520536,33.901174417145114,34.40842991339449,38.40355100276882,41.533138633386514,45.99475933114373,46.250860614463576,46.41642592505656,44.29578394529383,45.762719742775325,42.65910396480866,45.40888647733145,44.55088986021658,38.41286427619876,40.308752303141816,42.433547040616034,38.39237662444152,35.794320661752195,37.51955957339075,37.11895186350521,33.61098362042392,30.986108505274615,30.83199518270178,32.9993681118138,36.64098862553483,37.93704264010255,40.10691443534982,43.965133413403315,40.90337469435809,37.02518670626257,40.86768053458328,41.66898826631554,36.68021559910944,36.4808979608209,40.00981540016524,38.81577539983777,35.833939522014916,40.326947327494665,41.877302741266476,38.61618995277488,39.02920804130872,42.62844850036344,40.52358928411512,42.2602149790297,40.06384004302271,42.90193258055346,42.4808261540544,36.70396841733615,38.40511560517706,40.04658843707885,37.40377057528107,34.11085070447266,39.04848097689525,38.57098407183016,32.98194245401283,33.053670572622856,37.6610538156083,34.814760993092754,31.041228317081288,28.554368694015714,31.437844766196484,29.893218839246003,31.928224163131127,26.9660802486198,27.457348236387343,25.20490397592827,22.914376803257248,22.52395732956881,23.5071366537922,22.789674583832127,25.80093699723991,22.174358571594276,24.218244944394854,20.905448648919894,24.068687030122586,28.233293849729215,31.521764047250105,30.831365113019796,26.342819874932466,29.21817596958556,31.889849062990425,27.256467102571037,26.513677542122878,31.142506546049596,34.143802168893274,36.445718086186865,37.12261601982233,37.74016175525881],[31.672581423426266,29.105603732352733,27.611028186143166,22.116851393782227,21.544531751654475,24.306839255920075,22.59627459026049,26.463542306854304,25.134827574967797,22.447133010666338,25.094976397493102,29.000912277263097,24.98368056948143,22.33524316919614,26.66802584057994,27.49711771075372,23.054975219494423,25.193657372722456,23.70570170104432,26.40796444148299,27.762298034400793,30.95428538751994,29.654654708455507,27.88965600492001,25.71422796116037,22.89498050420767,22.697681664476686,21.197486209952864,24.867817239616446,27.594463060519224,30.90534362994323,32.541757929534306,36.49276649162449,37.95977784826251,34.95829585326995,31.269538130281045,31.646267789698307,28.159261448333343,26.589774113923227,31.20237420482271,26.91374544482366,27.892397861376004,31.88280843679995,29.83107558282926,29.780157286364716,27.047338049117446,30.39451731716978,32.02532119953675,27.724237160152732,30.866292218895573,34.861140960923585,36.48550273485104,38.43263246515839,33.90520643288063,39.57481296717742,40.77570439521676,36.51294364710877,37.872599674328036,42.31106921886867,40.37178008489978,37.25648023743487,39.62914796834853,39.13199942923361,38.91372141666369,35.81780970888242,33.81251523770881,30.5822361384783,29.782356404932425,26.345089216253722,26.923579404015005,24.94668397031704,27.28882655085298,30.009054503081774,31.127383088436154,32.53500021400898,38.16481942389227,36.35076441164999,40.530862945913235,38.915200441702495,38.728102356551894,38.18548980003292,36.33562685087844,36.70843233158384,35.7852406673544,31.78407298810498,31.767547314136994,32.405819881164135,35.65394889929967,33.761886496528895,38.81063418594149,36.093657343003386,39.06585324176584,37.05883270526958,36.88602992673209,32.90559933413339,34.3592612943043,30.778248784988516,33.9241755411299,32.94968059482635,36.9311131551007,35.13426779748755,35.777063905457034,34.41901725992167,33.82513903515866,34.4394806218159,31.10948269093102,34.51597437221359,32.68708723845666,30.678630080498074,31.581561698127842,27.75218114817965,24.968202355991814,23.1500163400958,19.67062440530039,19.15165942017409,15.708607537933684,17.323053411915023,14.004236773784134,18.150054599239024,20.26012106304574,17.50988871297643,17.429933715265186,13.00039496183848,14.60016005112153,17.23501354315882,16.923008656145434,22.12304420002788,22.03496022373695,25.022030920821205,27.858025340595702,26.877079968551566,31.110847200874606,28.983908752738035,30.875395532633934,25.27991911785539,22.034721001337893,20.34060705434755,16.48397312980703,12.927891000004376,14.8466748591477,11.433011456446414,15.274564772337062,17.004138690512235,17.044697292987564,20.679916575173785,22.270747425889336,20.040354982499426,22.879224879590716,24.699376314950577,25.15965428660877,28.861619931310578,30.48888660337294,35.390263996159504,37.27813991223409,36.237329417928706,34.99797389593403,31.244420193649102,31.565626571996745,29.488027170465955,28.71050558128652,24.487257804340704,25.505804297760907,20.768501964483633,25.228735377594216,23.78958428367549,19.205197496355073,22.89604239919877,22.15537818820543,21.461438131549226,18.116295621995572,20.656069825314468,19.351308364038648,23.924666111298716,26.73628003381635,28.825798975012038,31.85824214525499,30.829365429244024,36.014037736412774,33.14683138774281,34.622331416635234,30.609735762996497,30.084156612061935,32.2597761842017,32.964330324139794,29.431511768009,30.519919529547728,28.350030406453715,31.382827768551714,25.851092182426743,29.548702992304264,30.50277656388086,28.902604547652963,29.03631644816216,28.384154299433686,30.2726592674863,31.83966980832427,28.622480944906208,31.94212119064331,31.425602739669124,31.674517587336982,35.70045020654446,35.64838335172603,31.61007222509906,32.77521912384397,36.815177264412355,34.018927202961216,30.26258892380728,35.14039846430493,38.42787688687763,33.42954039836165,34.34132465180848,38.23676191052313,36.65982585991267,33.64753327192706,37.1868223466487,35.21979933554122,41.13785689828684,38.185576379981825,38.61730790611341,42.55694610898005,45.78063915128316,50.22744966963654,50.50397116321315,50.51154538431157,48.341595413168605,49.67807857143273,46.399930269780015,49.2024115829768,48.56209155643032,42.3737753913707,44.07738227613095,46.36192799556903,42.447381966980956,39.69070812953977,41.28257469054878,41.155044490829106,37.7447068463494,34.756235793457165,34.76324456008987,36.470275961580626,40.177225110398076,41.54415594923078,43.43638518873183,47.28799065297938,43.95162687649447,40.32392050234712,44.28700225478815,44.77510285717476,39.74688067956782,39.887984390736264,43.27424806023967,41.91484840661326,39.176546150993836,43.826092879729835,45.19428964214739,41.84249134815595,42.601031535824475,46.2732957761571,44.32274816776531,46.048688269066226,43.784945394357024,46.76530759232271,46.47373832480592,40.67058458058692,42.38412174855396,44.20220113288219,41.59163999655218,38.26407097455774,43.27175849577715,42.92511336123162,37.32437221078027,37.33866589483341,42.026303964807624,39.25326466374364,35.465566991340054,32.973098903817046,35.89404775197441,34.30503629637111,36.26311276209517,31.248876019613345,31.66635819080002,29.154349528301957,27.053800990702722,26.817196784589726,27.930209609496888,27.166305093543905,30.027852068497246,26.10877610831202,27.88393001884692,24.2424077321103,27.47936890552868,31.250754446257144,34.58648024307998,33.382928246554684,29.170138057435736,32.33240150615185,34.605444559043484,29.618395606820105,29.35387050684672,34.10265022025849,36.8781112044096,39.17048772656045,39.90629249993985,40.38898042452769],[28.022267020234448,25.60116777596112,24.23298311583449,18.66218986222351,18.182981380263094,19.825050756277587,17.819097580113297,21.517184142730112,19.81531974717752,17.132014734601647,19.7464552751644,23.694231822714432,20.020903016895033,17.196431095158218,21.796202436968873,22.833181033793476,18.743206109299695,21.442006396306684,20.89985282700245,23.75976956460969,25.798090991037746,29.376673254075865,28.572120458627513,27.336290353956862,24.728505142096417,21.34252191181109,20.632575734693233,18.221940361971207,21.28294768086143,23.500948836452736,26.674973347510484,28.113071779773783,31.983788352808414,33.86499894298227,31.04324514141378,27.677204996646104,27.937485803131842,25.31780455307228,24.223798587832647,29.482141610223742,25.76154488359051,26.129351187086023,30.418986792290106,29.03409817492667,29.66320774081796,27.438545364736335,31.112507655308768,31.971489448375724,27.538494358787148,31.1036859816356,34.58352863252943,36.007731152932685,37.56919836158651,32.72680967584918,37.934307497887474,39.68481010842172,35.44711268965094,36.03058444183209,40.70079586527579,39.39045811532203,35.79272480881837,37.65367876307495,36.6403591414841,36.96493113120037,34.12831090063879,31.57897883858606,28.171648110471274,26.68206666645848,23.30915634684461,23.13725549844375,21.418396357215464,23.991500398197616,26.45855450135549,28.205997218584905,29.08399285107985,35.02348466999375,33.39058930974179,37.28781083584469,35.87646670260793,36.11424244696532,35.32238345305581,33.95142577797909,33.77777998539382,33.434297059142935,29.628775844477808,28.971856028065588,29.755224563651403,32.3752237428207,30.644352683148657,35.22664842895229,32.4356804879097,35.39307745421475,33.012902567972695,32.48908917389074,28.286202452840154,29.56557469152069,25.798998535419752,29.00484357843485,27.884614362444733,31.785456715225344,30.419957518051355,31.161635927340207,30.242452216875883,29.785538567481648,31.15256448606767,27.71753753500129,31.42333961134973,30.07362290225608,27.79409325117358,28.149550153102098,24.05001279509957,21.216084192418997,18.707606578991353,15.586830865099136,14.5421290397852,11.566409927577618,13.616597971994088,11.312419602253126,15.78929813406626,16.709021130275683,13.617165454979112,12.791859633157443,8.347772629126386,9.683266294160507,12.270746102454916,13.06616750265589,18.247284546984496,18.762758782740995,22.186581417782445,25.234365001452744,25.044916656586757,29.391276639897292,27.72700408275738,28.88791634986967,23.702135287238825,19.820681385396615,18.832492515505116,14.63270708826882,10.896884137994382,12.7762214619454,10.853785338615673,15.279982588408718,15.602325315960623,14.933537135973614,18.63944130735056,19.146496453257317,16.660254411395037,18.831607038000925,20.592058813157387,20.46828566158387,24.286738705324716,25.450000671659986,30.465915262239026,32.0667760934911,30.97133563997778,29.96674854779805,26.306081597543038,26.96081892769714,25.023741094829834,24.78434928770517,21.255323529416966,22.343841779512797,18.497896782620693,23.178428035555704,22.6984848951521,18.98039234531662,22.758129752033263,23.0787802564369,22.039525058602717,18.18439038320774,20.000141855235654,17.934638656043337,22.157653042393964,24.461244484323185,26.05253641924167,28.627053132989523,27.146771432718964,32.57597017055033,30.31731859213067,31.864959030183805,28.579280729534496,27.436519165341554,30.483198815403917,31.773069001141387,28.285384006237944,29.515839460617418,27.201921408401596,31.046604537698556,25.96503869476526,29.939961096599937,31.091884120855063,28.824793004372054,29.101691693274194,28.132546388543965,29.80219322830323,31.380789220868166,27.759933975004877,30.737447591551074,29.981134722626642,29.470252548294116,33.55971033264192,32.851977283442615,28.79146656888951,30.507442929694395,34.20819742945619,30.924537759262442,27.778825475827738,32.68305965130096,35.31619202948073,30.25078369853067,31.589443881984955,35.31298593720285,33.22562328150589,30.558072437329844,34.519990563311715,32.932687927523965,38.62310974950492,36.64588947181222,36.6856026855834,40.403333862522445,43.95413363641131,48.27788280693179,48.76299801410405,48.40791940993894,46.32824068744272,47.600352608375246,44.146413339182665,47.371912925447575,46.961955461100544,40.678041374973816,42.42398398493175,45.23245234221845,41.405531515468645,38.51963985226529,40.47028235292384,40.765471740833426,37.13929991106182,34.12317463338388,33.47012809840862,34.6603637490951,38.32396989151222,39.23090523267426,40.77736934034721,44.33285699624493,40.766953438057705,37.40777684700031,41.1505496636093,41.22510672632829,36.178684887038756,36.56304654142362,39.60420743073542,37.98553327410887,35.53160080009737,40.36889929142854,41.42232042992037,37.95289954847531,39.19871174827335,42.96531620281698,41.323597260508066,43.108896477460654,40.89800469853516,44.22364689302462,43.98063253641946,38.166392367034526,40.18574773033544,42.30187351632827,39.67045405702828,36.5375649461718,41.917339470283856,41.749204243643604,36.098644921258504,36.40513535723592,41.42873712339478,38.718605094553865,35.068400773436096,32.15943372800223,35.76380572068216,34.00764786961521,35.2959744786793,30.054851656942912,29.883878552510147,26.7600447039026,25.460548034302555,25.486857343803187,27.288488556734382,26.377890161334847,28.61044952750865,24.042487986446297,25.737568647930424,21.44731520349579,24.253512580834393,27.636085138841395,30.8423811649434,29.12484173369175,25.15721722577772,28.45817307120716,30.26404885086273,25.02823025741359,25.189272263189373,30.002923235850602,32.55943384222359,34.846197942881,35.69696756797607,36.11905321788154],[28.393245128154028,25.45574660081822,23.06407105375329,18.157697379597906,16.096327792486537,19.413050066213046,17.376095472676443,21.091785500945083,20.704503613873726,18.225173434219588,21.390977987447414,24.753476677242553,20.452792350257845,18.9385663673461,23.31846390343006,23.51458686367162,19.207020785069144,22.0249953531371,21.594589486505992,23.41048917398343,25.574568677866658,28.485172376603458,28.043070997347296,26.412972082346535,23.460797203096813,20.800224165289883,19.34653677676821,17.438336109036904,20.81772412459621,22.979104028532042,27.429449054435327,27.99361454164019,32.27950614424682,34.05556793251869,30.656570062235623,27.2426579671168,26.747543119149178,23.762348345743437,21.977119291042804,26.47080026302196,22.897225982347553,24.508350304616947,28.482235635155444,26.719568929367814,27.551273745902837,24.997791835063815,28.458076190558934,29.195788908427325,24.409449448013632,27.323158325194846,31.1829544969817,32.286396910923926,34.28024587101431,29.602096871996658,35.12332339896678,36.985058128027205,33.074252810748106,34.06571653035893,38.68411451384718,37.40537876696179,34.42007609734486,36.88388718506369,36.25232007275025,36.89781215536524,33.607601761403814,30.976483045330905,28.639868253254463,27.290809876330975,24.82876072073329,25.07182175567984,23.880488411231944,26.995515429920907,28.770617510906163,29.966524170135877,30.28320606362892,35.96479039996454,33.484642647970006,37.349538041094576,35.29531962707382,34.92566770490672,33.63125628588008,31.546968482756075,31.293059590225575,30.221297662194445,26.371075788760358,26.55951904504455,27.989428854972687,30.905735436151836,29.92398672879707,34.96146622583471,32.826310877018486,36.37007415542202,34.21850455143334,33.60326717052542,29.490379347673912,31.395136810220823,27.739407433429097,29.86498967636145,28.464242521637317,32.00987574874288,29.9537783085399,29.910420320311083,28.55917590751298,27.44427012799023,27.817427215965143,24.356927898713437,27.672623352707102,25.843719190355635,23.93664202853502,24.83028787287916,21.21618518455969,18.365339696472745,17.086951512097905,13.471879647711882,14.065258605476714,10.77142678168111,13.38427895668801,10.920914097229703,16.59637023125814,17.70493034260834,15.420005212952736,14.52617260187659,9.881424886006684,10.126848982452367,12.24870399939713,10.614133019528655,15.95889684838561,15.358606963321296,18.281177483815988,21.01316148506187,20.24658506094003,24.46732277524189,22.494670475708904,24.170284149022795,18.672487973750204,15.266331289215222,13.847493097370352,9.759809951390258,6.286325045156089,8.832014853421521,7.658996687232144,12.407835439432214,13.639974952713771,12.416943777462302,16.02642613518686,17.360893220950466,14.722659338912928,17.282852677488165,18.607380701445493,19.412350232708423,22.808763615849838,25.07858943675185,29.69896198685857,32.233009963670916,31.307196537542165,29.61239693699971,25.891952061587084,25.621325628245224,23.82419830484963,22.332860495303336,18.111266616912257,19.833120390881387,15.095219042047763,19.75104196243958,18.16794402024058,13.971821841860736,17.337528313245535,17.46432122473783,16.242804174376378,12.483875714802782,14.508914862649906,12.99345469939136,17.67916206141453,20.499529046125964,22.738626744564705,25.62456987381757,25.0376698776228,30.05518408241187,27.277816388730365,28.430074375595222,24.51272395253598,23.481426325908174,25.82300533470015,26.795487082458088,23.360700237959268,25.070503303457098,23.3248138380609,26.829147366323525,21.422635765592936,25.10852634056586,25.85739558095126,23.631358897612166,23.534063677762447,22.51948858575647,24.22366830221807,25.827329261847257,22.44737429516826,25.68154141928884,25.335601566856393,25.222389367368475,29.49330702720913,29.2768934045067,25.31354709685409,26.94973585555739,30.931736208955744,28.22679142723907,25.041241080089268,29.904530088382593,32.956087059910566,28.47064456517354,29.748564344714044,33.57769491166748,32.051569028545394,29.629227683600902,33.32677209624196,31.27860360120306,36.908102821306095,34.2373432956481,34.014146077834894,37.84845036633302,40.851121211391536,45.44194398946507,45.41442719300024,44.9686458892793,42.58546213297588,43.64535278736189,40.1418862632686,42.99372473288622,42.683568327257035,36.43913919056515,37.88498360274311,40.488144810907635,36.796199345621815,33.785233205191865,35.39955721761197,35.81595794617864,32.436223802512394,28.985836107492304,28.884064781713654,30.012842106284417,33.749085321931524,35.15545234381816,36.824080824519825,40.720295940564654,37.271661254560236,33.77017592570218,37.94959442463491,38.34089371787851,33.33594906438343,33.76853969064957,37.28412266485411,36.06759942989189,33.536283149665245,38.173645208063235,39.70037607220782,36.69966833687697,37.49204545460327,41.04440642562212,39.03194457444935,40.397284772390364,37.8421155085436,40.84375952386399,40.97766909962312,35.1895154153656,36.59344876984517,38.7936367248102,36.4296965093161,32.828875512190095,37.917803957181114,38.132348259752334,32.576970422835736,32.27116523140948,37.32336667296745,35.086372356444826,31.244508486114274,28.8358314226836,32.4615422327588,31.301327139745535,32.97488802759809,27.90065964064752,27.464227486373876,24.98898624420703,23.70717736461291,22.9364264483061,24.230551067701903,22.738395057104242,24.919104540137397,20.493984498876383,21.69314492614219,17.955014638166112,21.643994079628534,25.00076344511523,28.514564562267367,27.33199723547034,23.30049311525742,26.88531223038812,29.210152067590037,24.296454136929775,24.628338401905324,29.357865327932593,32.41521874586684,34.64441435546113,35.289349683162264,35.88624235815213],[32.86438439497143,29.94161940408741,27.624286715103345,22.688041265789952,20.767875084196678,24.3724329479231,22.345108171175713,25.968206219888316,25.438393664978726,22.596896664309106,25.493289416365975,28.99995629150568,24.371474867616534,22.616665472640037,26.623505895371117,26.798927361297764,22.135336082258437,24.153041241153073,22.60926611483361,24.49451991466811,25.849909822739363,28.488529011498997,27.45285382519781,25.382638498697922,22.978351629280954,20.769582470373603,20.113672750301568,19.154137887609387,23.10618383946183,25.936612743808247,30.055658534726263,31.197383445717968,35.40098457181515,36.63321935904271,33.222364757832445,29.44003662703498,29.405921606586617,25.48368698687552,23.422685164374904,27.40620430326606,23.141495558754993,24.965703661784673,28.67248248421044,26.321363333864007,26.377572372077783,23.419951423364598,26.61842075514128,28.159300795043226,23.65408132240795,26.384962754634216,30.60654286738159,32.077407648116285,34.302920670667525,29.921012902944188,35.80575297674396,36.99502963744338,32.95361190116563,34.652082204267685,39.00843976248248,37.05142329006396,34.400817395658294,37.2363665615566,37.07332188480841,37.05232398232398,33.60937608468204,31.597000298103865,29.21137625523095,28.597308116699992,25.896425072678447,26.89228027401208,25.339293841193374,28.141443645440212,30.25099482153139,30.845900491336966,31.83602300626567,37.197483050898825,34.718983964517896,38.896240007874596,36.80102549959959,36.13241581477267,35.33042443906294,32.968737315631266,33.46393930345359,32.0234830553087,27.98269997388195,28.567814518157252,29.504962397902432,33.06311215211716,31.60647390059326,37.02870451791182,34.80166500402505,38.19923188499315,36.45411177514141,36.30994257946579,32.49340849013895,34.472327754186075,31.073781964847377,33.41880568359304,32.39366761028149,36.26768518106045,33.76007931648278,34.072429570186124,32.184685768936376,31.395960448651202,31.23336760086345,28.1691379871646,31.362723884922957,29.358506084109045,27.87824448873285,28.984491185071153,25.709803641251302,22.658444152667464,21.74845967921821,17.832317070650333,18.059427902357022,14.36141350771461,15.936855293490925,12.394906671200923,17.19611244838064,19.542760354503276,17.475638676021223,17.525431570925786,13.109205372587851,14.354432344837551,17.004295347185757,15.304591248848192,20.75395604364934,19.689043092209765,22.29033396513505,24.521110734920267,23.426770740254273,27.360043733739552,24.80755695296923,26.89787977502498,21.244024473018516,18.487563280348052,17.0047655996113,13.112355651221417,9.85530494174991,11.418003871366398,7.825759712989219,11.50353425144281,14.007541785262736,13.93912569033949,17.36677586001921,19.688000658261412,17.582897287564265,20.851295038832056,22.579737315630197,23.864069467469392,27.401435022082353,29.79327411916733,34.38799602359781,37.040987438713294,35.89405631410942,34.05908510504255,30.192121186790054,29.940398094011538,27.727251406634043,26.260230152750154,21.448872029365987,22.535605795001537,17.211797696400495,21.438951750944597,19.3250583880912,14.460352252968656,18.06704368697182,17.147313697932844,16.76418793217642,13.532137838424362,16.239119805991827,15.213586129508064,19.79675125918306,22.873881611490226,25.323808293425905,28.64935154039126,28.174295325561296,32.99993043657567,29.679571282937946,30.986384531977457,26.523701935512303,26.420889430701028,27.9973040650263,28.39430453268909,24.870727858891463,25.95391568166757,24.047589782711317,26.752916426680265,21.06415931494748,24.60013884144518,25.43235826869003,23.961380638500827,24.12442906314097,23.690917090623785,25.769279072534754,27.584724735168532,24.79982451261204,28.385143043604387,28.429321760644164,28.844380729595343,33.1209787239168,33.33644553926577,29.459391149648475,30.809528183166606,34.98022855047186,32.612735502904776,29.131124514523048,33.93576661421193,37.349785122124345,32.93358395434648,33.96110006263721,37.87231615114712,36.60867950575745,33.97508572547882,37.42723286479976,35.173457983862434,40.93717159118064,37.63096935801207,37.6859249773444,41.652682974248634,44.39949266860775,49.06414262400844,48.864502147965325,48.634299126240805,46.14786623313343,47.17534278458603,43.751259225966116,46.23830524431567,45.855719862689945,39.71620685181566,40.998092914651906,43.21149818958279,39.548223675274485,36.583327679593516,37.78506397644422,37.98578764289885,34.883684569309175,31.280695640830494,31.871150097668625,33.1913655688371,36.952566153508094,38.790569843634344,40.58805451717321,44.701702338895345,41.3317115652888,37.777203234904995,42.166219674006285,42.73509024251688,37.778768487057455,38.182408734733734,41.87613071125058,40.797307646504066,38.182995692138185,42.70889551340082,44.39132827001814,41.458543319806665,42.03095043619534,45.52222670368504,43.34319399137941,44.635509185938695,42.01400677852877,44.77338468103021,44.94519472010104,39.19712635346721,40.32530696464541,42.353238396735755,40.049335243063894,36.2854690116632,41.04188759618644,41.19043616116967,35.71361385101682,35.10966784016084,39.883713362438684,37.66697775388037,33.71889599933256,31.69693423839924,34.741520179349365,33.732836506830566,35.92786863563074,31.050589357543686,31.068334715459752,28.993327150740605,27.149122653034574,26.24381280653272,26.995743216549602,25.61895570075444,28.24340047896136,24.324559125884065,25.440105282098116,22.205229601260918,26.159619686965108,29.576664776713596,33.15916130822468,32.134831449187004,28.11189261730691,31.66499470885417,34.124868743838874,29.26790125883655,29.491566920989932,34.187048744453115,37.268338968233195,39.50421509019712,40.098249341312126,40.661506897773165],[34.93268463488904,32.20874976237328,30.1203436250269,24.98990346294051,23.202437146532464,25.86909065573434,23.354778198401156,26.592186989020167,25.44562228361523,22.00574694102205,24.411628841838418,28.11347832016883,23.33038161444883,21.11047141807281,24.703890166576365,25.063970648818664,20.263537364327114,21.668411377273177,19.50661067766291,21.83795297794656,22.819974293325938,25.705908355376692,24.337044306959363,22.428885960673814,20.307955479178712,17.804446597198975,17.848540682585803,17.070088526746147,21.145223030085532,24.41562340248949,27.769136641555157,29.641131163776823,33.59518546511732,34.47632218270024,31.32583432950505,27.360647327567722,27.990783168875186,23.7650026656926,22.033882268573393,26.371256451956015,21.78590833071857,22.761581460498803,26.585499519556784,24.365011822418797,24.156215287670584,21.43972740492017,24.822788052223036,26.485132145149826,22.327429354705533,25.64527374296828,29.521955461941037,31.340648388149248,33.215555548855555,28.774050589513546,34.50264463331567,35.40023398093906,31.084686471015896,32.69943721048334,37.00389418627551,34.8558664276777,31.88986991316468,34.48419402147549,34.28812247743322,33.88922853209252,30.625610848455334,28.855371067633655,25.972378372983307,25.618289057926365,22.538622935629604,23.82416945396803,21.997780967333597,24.562772341032307,26.895007613942226,27.30974807961163,28.7621770088991,34.03546468050805,31.8874462484982,36.21321826174669,34.40209621244021,33.92490856467434,33.65010391402607,31.650403024632272,32.58112995051713,31.531950468290187,27.431323411030576,27.544657941988554,27.80073287894005,31.493728702433355,29.378690611553303,34.76282572315107,32.21652669872558,35.31185169801565,33.73350521844479,33.921992924630956,30.32365972843335,32.19994897491365,29.04210967790914,31.792443578103597,31.22044081625969,35.55137214728284,32.854057022788965,33.9440023356939,31.775952875637177,31.77560492789396,31.938938289308833,29.31345629425042,32.8800244061674,31.362514499371184,30.082478713957016,30.656829172495442,27.429894971644824,23.850666408390857,22.532622574261428,18.452083113737487,17.51322333486302,13.681995397160026,14.209981545958474,10.225162438219755,13.932373630266733,16.840493213166596,14.799342426598695,15.581953087193488,11.723220586737229,14.000046044780657,17.379164395111854,16.60027117259579,22.521429950805647,21.5509280512075,24.477440731147862,26.357654192147084,26.070156168497554,29.859021077976557,27.15237023061265,28.6445324689264,23.324249761371146,20.322423736290858,19.87354313168688,15.371730239985357,11.696032993490936,12.09455531631333,7.3572087002173046,10.142833721519754,12.130872311552853,12.913268474464598,16.248745217479403,18.480180145272886,16.825634399790097,20.357759383039188,22.70300052720058,24.01232196686042,28.006492762750575,30.013450728666243,34.741367002040725,37.233284911047,35.60382441734438,33.82767700325538,29.81407423887681,30.06054031300655,27.309316612531113,26.67043724821999,21.85595491147788,22.005511340106473,17.080046066083362,21.08930641622768,19.902274941019478,15.59048483404446,19.833398343486458,19.289211040647285,19.586382033620843,16.157800860368944,18.560060897088015,16.79753492789042,20.73036570207659,23.37607012866001,25.344376241712013,28.71202164685449,27.651474810829278,32.625879030466734,29.35123540082599,31.102873479832784,26.929363849689338,27.318866599367613,29.20847514216333,29.712309577314194,26.068027319485395,26.284290801744806,23.734701227301834,26.590854901487443,21.281100970320853,25.154840420447965,26.580806087089456,25.160790028853505,26.08385471256893,26.021749257314706,28.324496003088893,30.512175002188577,27.888431999529587,31.485348647305102,31.709339865205074,31.693829803750578,36.17157355234963,36.00392515621551,32.14211255592325,33.95704647960642,37.96196749048819,35.3153711812534,32.247338298222914,37.0956094143212,40.11385602129913,35.64604690810569,36.94115991347884,40.767672873909056,39.13427877678204,36.65974394816413,40.384313446686086,38.36346750583762,44.05685829327896,41.222868858123284,41.13803186793158,45.01311836840966,47.918285115783945,52.52427130540501,52.414127771106415,51.9713057731894,49.45494351894429,50.3525899191154,46.74152116940475,49.36859457458662,49.2280953433865,43.034716778260425,44.16124301137491,46.63146967031871,43.103709889288076,39.988733245560795,41.16013034585122,41.694373789072685,38.63181167106129,34.747620072718284,35.29565265845313,36.09718678623738,39.87938948773113,41.66358192452905,43.1234864777189,47.150729425409494,43.49023421215092,40.24214975304542,44.674618573763894,44.86624192485938,39.89366079203252,40.65530128981244,44.13735205355301,42.864275856866456,40.536578628417104,45.22550220120361,46.6810015171959,43.65529109567238,44.627491078904086,48.19683197121853,46.2187032191017,47.5107747491093,44.84514094390175,47.803142417603425,48.09796986334878,42.328921496764046,43.53900301297162,45.78188540746855,43.497836209115675,39.76112648976798,44.66024193455291,44.952208671127266,39.45024684218674,38.88640979573144,43.801961268999534,41.64347948359939,37.71889903381467,35.567809000495984,38.798215357770516,37.68903292405439,39.6763762251135,34.683247520796996,34.53403620788701,32.10905008378393,30.55476594375569,29.85124090659957,30.873906828522905,29.464387169638552,31.85373121532121,27.568893419095,28.475839261103395,24.8465983053022,28.71083418245514,31.699270991531286,35.27748389460099,33.68939951204021,30.001085630520606,33.80955174596623,35.823633227708896,30.6375126052203,31.360746423854074,36.144441678719474,38.9903493895186,41.1986897479873,41.873417957943445,42.3131826365851],[34.196230790912566,31.572066209337333,29.54919835583356,24.436736334870055,22.62531626428928,24.697335865550578,21.93152790009272,24.92741255173505,23.55608710385213,19.92776141900196,22.17496983295745,25.893939837469837,21.130242740381473,18.800656952970662,22.31942565174553,22.75507778298934,18.008692022405278,19.47454807123104,17.55570338806964,20.051064921113042,21.279436567530755,24.387938136707188,23.20373375089082,21.57458180784078,19.29714535356483,16.45457714163451,16.391413362569665,15.227234034399995,19.11308224222945,22.3184576855866,25.478228394176337,27.440643099269217,31.324598720520545,32.268642541262395,29.22540283848499,25.326035630303874,26.059252808859604,22.097649631234262,20.641296356338138,25.348402865073652,20.94352450924429,21.464195136731306,25.46147498960719,23.585360253287444,23.664218935546796,21.293719270202327,24.832775199579167,26.098412393439332,21.975467732386058,25.57491039729542,29.15770529620703,30.93721974857174,32.58491298026304,27.982387388572,33.46953170323989,34.54080967385836,30.189502989520463,31.433954004578247,35.83131866307277,33.92525209785767,30.681179930321946,33.002111088021536,32.57441296557007,32.34823517223123,29.223176663293646,27.252836639851616,24.199099129263313,23.60029583204685,20.483968056904434,21.551957961519562,19.78436262006902,22.441354699486585,24.682765581835703,25.30094184270161,26.610266545225215,32.010666750727886,29.96570860776658,34.219524653812705,32.53757470645657,32.27200710296681,32.00352091590462,30.2844612159721,31.091083588441343,30.3698379442705,26.32946678248812,26.06511479947926,26.22619365533824,29.70194360672889,27.501869499087547,32.70906917133701,30.072971876261523,33.12874429377027,31.44830664851934,31.58076673483661,27.950513347931498,29.784170789284598,26.626311211679724,29.449761301074385,28.9492373192757,33.370411692389546,30.725215906721626,32.0476936906525,29.934918292289,30.192862866525367,30.693441153689612,28.165275847013724,31.92676879824735,30.71220182860025,29.41464024933694,29.652231296405468,26.39099164082368,22.63949335599391,21.031180320105975,17.013120259960196,15.560114887522786,11.816419458652158,12.13949897470445,8.397149324220305,12.105344082617039,14.642807931533792,12.486317929540405,13.253931950082366,9.604015888057182,12.174972360042073,15.773738649539927,15.516576427271925,21.51293130265434,20.724435560885123,23.852066106944545,25.679463596488688,25.894986010272994,29.66031552123054,27.09628951065742,28.155357187502126,23.107268820901286,19.82924879672927,19.917998662046394,15.185510068680127,11.410352114797542,11.43174584837309,7.355393975629108,10.101781660404274,11.113568059853728,11.73865007561205,15.071581180169165,16.799582681066358,15.165754282806883,18.54549792963511,21.053635070320567,22.222232276779785,26.36907694014502,28.15553529496948,32.925975621858385,35.339663334942315,33.53440798111344,31.80891893786955,27.77952781286728,28.24846074185884,25.38534988838415,25.145209910059727,20.576152447017854,20.49426070093113,16.048885178126845,20.082741608125815,19.53580949107758,15.797351047480571,20.151564085862503,20.13919776285663,20.414120564204374,16.781607400382132,18.79436559611739,16.570445228780788,20.16563753507399,22.47843819462319,24.123093560810194,27.326133614277307,25.949838058887657,31.052650401295818,28.022588594217307,29.90611021053554,26.097238759867828,26.36443192474647,28.665738797906364,29.42800687106751,25.788208529167076,25.867040419041057,23.12499416747159,26.364851590867328,21.304975816280965,25.42125838711528,27.01878926170877,25.336996209587433,26.4725831287142,26.363557770332086,28.617142228906864,30.887122905495726,28.162488575356928,31.625373113832246,31.819917918886166,31.430075984164784,35.97555690817391,35.48822670435228,31.64757246201607,33.78028247150531,37.61607600985381,34.76207352899749,32.0410606651057,36.886357318224796,39.57123371978904,35.12513210913974,36.63632896439299,40.36726081527609,38.49057885277496,36.21547622397789,40.127746019609084,38.28353847386673,43.85020481789901,41.45799805544077,41.187581189637,44.951841911247975,47.97972735573848,52.50819572897984,52.48672681638177,51.85991584849246,49.35926190212133,50.186499098536444,46.46701144197832,49.26626622050793,49.28043248592435,43.04732127832252,44.14152806511673,46.85769930710738,43.397941312292104,40.20409138669863,41.49316125723902,42.2658534307093,39.151463078670304,35.18121871760909,35.49088223678922,35.96141495966568,39.722224329923606,41.3364873549023,42.57878302742309,46.479141127756314,42.666788695989815,39.606892148645656,43.98476893847568,43.93102217594154,38.96276354394817,39.92276263322753,43.23466014563926,41.84127131025332,39.706854536189866,44.47968546209135,45.78043610015052,42.73126748742553,43.95962417210525,47.55637075375661,45.73141054574265,47.016046927784465,44.345412607227765,47.45993669364323,47.826472767876304,42.064775610788125,43.37081301613453,45.780516125965015,43.512442877375506,39.83895294724078,44.88587932241914,45.30069413096647,39.787070774783885,39.31302796186486,44.37767427099336,42.278355237347036,38.4092916767149,36.10401692563532,39.61620579971994,38.450251335207874,40.176626684554165,35.0898203667132,34.67662207220651,31.997237981169707,30.800660710138818,30.19807404276589,31.502308144891735,30.009592366866435,32.10507719528071,27.52866544811753,28.313920772024716,24.40092922762774,28.11194158056596,30.810606594585828,34.346739374153344,32.44292612408532,28.963677597861107,32.90206194513375,34.63094823717698,29.311981944171368,30.354335654613287,35.14446850280774,37.854320997985766,39.98639021233621,40.667122343460605,41.03156636646429],[35.34182466757485,32.886695430645666,31.153043544426225,25.914132698539856,24.49603688091812,26.15457851698138,23.403018717984793,26.28570729497299,24.528518572395647,20.81170060258649,22.72811919430858,26.572330663509184,22.016394402662996,19.276111779645277,22.617715989186877,23.317954085751932,18.688382257452766,19.831944110333367,17.622422243193704,20.488406341944568,21.459595507372246,24.701476668656504,23.28569372172236,21.808112496125535,19.823067174393252,16.850474954236585,17.28630528749702,16.204943670442542,19.92474340990828,23.221034686749835,25.760130105572124,28.151515763561996,31.809818500065724,32.63137005909671,29.8369959521542,25.93285248088415,27.040351578340097,23.093966887839905,21.887249276956606,26.652608234575133,22.18092330468243,22.231265298271616,26.201161367767963,24.41128564824113,24.278922253197692,22.063860020891088,25.56422732260429,26.94600314554833,23.12577210910652,26.874430087694115,30.29213571299702,32.21215369613698,33.70173356278711,29.1721991201941,34.51258268540363,35.402212485227054,30.95424873770698,32.16133630137955,36.478160457677546,34.449001420177,31.064107055963582,33.200112601515094,32.727009675160375,32.24136540885745,29.30025712430725,27.526950601457127,24.08938955387249,23.62366099466486,20.15499165075491,21.250819357039024,19.2139410019926,21.547890949216264,24.0940600124421,24.74515363372729,26.41417434276725,31.767152220077254,30.061998686578363,34.353065255541445,32.9186724216255,32.818144680756156,32.85189495688716,31.36811756312634,32.34568278444493,31.82255869270382,27.83281455611918,27.345078339568367,27.159534118802487,30.606215255241334,28.05390837678246,33.098567146464845,30.236586404932893,33.01001706131037,31.371661415360656,31.663854899414094,28.139528567267455,29.76023265517616,26.702481854520453,29.896417680267824,29.611758933758733,34.1790579945243,31.665182422449902,33.327708821591806,31.253652206964233,31.80555246244423,32.507892143400454,30.104201649231253,33.93395177617782,32.8577067522316,31.543472395159654,31.643722187957156,28.34374008562643,24.59586364901488,22.743401124925093,18.913015980512405,16.98236452918939,13.516214015914679,13.359199544646668,9.870168762658247,12.268403663770599,14.958610105533523,12.682437515456652,13.785820208872895,10.747174340841791,13.639189546565088,17.2621408852098,17.585232594201777,23.406458347765515,22.86811730266213,26.045656342372915,27.86155747688675,28.207773578951127,31.93579447451083,29.390888101580003,30.3323293307231,25.422836755325527,22.15259792224564,22.32173503263077,17.66870799154455,13.975879537617761,13.889121045752109,9.944701117033322,11.926189751424616,12.61337393774031,13.615200946168946,16.684059507171575,18.213095526304762,16.833042018713563,20.069969167411166,22.72389237774228,23.690454619472654,27.920012633822193,29.377292662937833,34.18955222928928,36.33937989315026,34.41637846562736,32.880964106579505,28.890395642972845,29.650242823532142,26.68644903243203,26.85975196203047,22.49714950638487,22.09366908062608,18.01760151310892,21.822230803991737,21.568425059256896,18.04051831517514,22.385837076265553,22.306313518757978,22.744181550499256,19.219110263122076,21.201965109876674,18.960999554652386,22.313774070069574,24.44403522436445,25.874974849253476,28.99867173197365,27.36649477246782,32.486100448935545,29.567110906305164,31.587433423316703,27.959974756064423,28.349425257195396,30.722321550603304,31.49073646676633,27.866425140486786,27.672919010063207,24.764116022767396,27.92315649381272,23.066429856547536,27.147685592338252,28.87263976276151,27.32879113093311,28.620874722576907,28.62278433754499,30.901801614443308,33.1880743022996,30.500291443880364,33.92655032797834,34.08309071447976,33.63677377576044,38.13545914692351,37.55367482512229,33.72079010487665,35.8653416723919,39.63165569164356,36.671675851973234,33.96791165476911,38.80360839610114,41.38876629109663,36.83220576335322,38.34690239795234,42.039657742747224,40.03242474870512,37.70808368403012,41.66147350406854,39.930740856012854,45.4948441334458,43.24093955392992,43.055773872783995,46.78844736978274,49.92452898663686,54.38604481958056,54.48245995518947,53.881847840287186,51.43209165285036,52.29013306708644,48.581010665801806,51.42866236482182,51.43843559025504,45.21602934799997,46.34360850644034,49.07553693125216,45.60939571333754,42.44520006236284,43.76405179857445,44.51079015436649,41.37617489394093,37.47671283963026,37.72865480908483,38.196827895430395,41.929342431019656,43.46744700726735,44.66023088585606,48.47723108445242,44.63840241191839,41.6488068428521,45.93728367425873,45.78653531782188,40.83511833414102,41.81571501892403,45.00040595432506,43.51510320994294,41.43113636899017,46.23459117751824,47.41236095684205,44.26385194649286,45.611157871500055,49.24372693446532,47.516350178062105,48.88663001620425,46.29025443917688,49.46740782389242,49.76204232365525,44.00742026553142,45.42871918041294,47.81547374486334,45.49716454892095,41.92128130265909,47.00184665209271,47.33559230146914,41.81482162569032,41.45286789894013,46.47848593302113,44.28752261622301,40.44970653824419,38.06954512450993,41.526760936649815,40.23570885644741,41.920997576362325,36.81744115465032,36.499235175439004,33.702549576595004,32.469299730403506,32.044771044504834,33.422304371755665,32.06339245664075,34.19770913431371,29.638572873706995,30.51311128835357,26.534878489054186,30.041066389604815,32.720717664700615,36.17705350885974,34.112423787321326,30.718213568963176,34.58284168202202,36.15528287362024,30.76962735849512,31.80422885753935,36.58635736322639,39.14980948799899,41.242324120818694,41.971884065174436,42.29687621018913],[35.10022290999069,32.83498613560934,31.435937070675173,26.0971949959151,25.16725853607171,26.32421577806783,23.672536996138255,26.50344841750919,24.37079277711347,20.749685121969836,22.42140230656877,26.37198778453369,22.22971107896844,19.09303131812657,22.467632604107628,23.49415740706534,19.16163239225048,20.32903809480014,18.30716657470135,21.46456113586653,22.45299947642785,25.868752437570446,24.43520512433117,23.211786599578762,21.32982363367812,18.190190524925487,18.783888518348668,17.46975069655837,20.80030948097601,23.905034794315885,25.943412974029183,28.531683644263172,31.98714049290939,32.92039135246483,30.379546623726288,26.627173899154208,27.905691272542377,24.32255953622065,23.403364485829556,28.325329829542074,23.998553185674023,23.664317227298273,27.662177937598926,26.100572265423274,25.99487087358015,23.981647052491848,27.488405952242914,28.773262547409495,25.108564878114866,28.928959984617656,32.19389579619284,34.11496544404177,35.48086528147066,30.909044354593686,36.045280139176235,36.961545737173,32.50754635816749,33.47285151768117,37.77831161140155,35.843884270617195,32.27053466109528,34.11870253812939,33.45759533504243,32.93585045648102,30.232056470901465,28.45213686847295,24.692747117895557,24.08934397062427,20.364648158550924,21.149375123491332,18.963029289802037,20.997283321061257,23.794071280855768,24.751778394782143,26.543615118979453,31.952664816878855,30.60781303296428,34.80774411206666,33.63288563234007,33.78166368640105,33.91606652235887,32.71788703991548,33.60327452844938,33.334744862597226,29.451171256101834,28.688448787869913,28.377573219362812,31.56861579605006,28.87476552219851,33.60984598388244,30.5672246499825,33.09213723497596,31.32938784551171,31.5889183643172,28.041050178419972,29.364986710136954,26.27907095562275,29.825867226910123,29.59163611207087,34.16381941004206,32.00868309906226,33.83817824043427,32.029454129946956,32.7027426690294,33.762006852435135,31.300754340155482,35.18308341706218,34.233354561176,32.75040931753945,32.71320035503507,29.264390554165182,25.663996663262857,23.45950323051363,19.963195810540157,17.720110464734493,14.667494909245812,14.522391296504079,11.685075705515624,13.323697269575018,15.577221220782155,13.070249008597674,14.001563889123219,11.44208863612281,14.269349962745537,17.69806578162643,18.673237370578043,24.201349287779305,24.05950533321098,27.325804358109952,29.309625581136977,29.754447285790796,33.53382594872072,31.181254433299635,31.990643149425978,27.213044573968176,23.820717310858917,23.947231896773047,19.43032901294557,15.84036010286205,15.920419963874144,12.526898280872851,14.455751386471997,14.70295433219394,15.602878469646871,18.527428929424172,19.598983233670214,18.240818663252117,21.087528106801848,23.70146366078255,24.266718627983312,28.489909456691272,29.550961662544477,34.41176605526832,36.19366037875486,34.28985324899825,33.044312516988114,29.171044470732262,30.210032418832135,27.346721550291683,27.868823226733515,23.904917640060926,23.475224849797595,19.85374859563432,23.604710620361235,23.628479251668388,20.338174494435048,24.56313158308846,24.56197759953764,24.857903640690672,21.346337911117743,23.22998238130282,20.953909749341324,24.20364929772465,26.15606705103925,27.38491591352739,30.297396330953347,28.431593400815537,33.62182367419554,30.977104075301224,33.03644961543123,29.691712516243797,29.87951700958389,32.491806501972434,33.3967956370518,29.819630993439148,29.652207995725668,26.70734328966854,29.96936733559648,25.251536834289244,29.34739697676532,31.07739790672868,29.47480723246404,30.736031064904694,30.648133156714373,32.830030709773176,35.02428775878385,32.20223729739113,35.49700601071637,35.4692744583253,34.90297497913455,39.29412553507244,38.55387404787763,34.71388813317951,36.85257165499214,40.50225464600615,37.37321332236917,34.69827155618823,39.51259217777531,41.941504301304846,37.237965338904374,38.767133367254374,42.39296895359816,40.21869290958598,37.85515538113191,41.86265218708395,40.29649322296283,45.82784038559456,43.83837765056986,43.71890857336481,47.38863721336327,50.696946595603436,55.039068576245334,55.34150447244967,54.768393405567075,52.419825791483206,53.3562314769192,49.688756916849016,52.66635591524221,52.6309997145612,46.40540570894065,47.65999779490575,50.45534503931249,46.93378275433923,43.83489960666371,45.29665087737905,45.98102065444448,42.76104656701012,39.04853004335615,39.07550853440274,39.59620743834342,43.27816186991758,44.61562233759893,45.78098926170453,49.45029001824177,45.6137946727351,42.669453076448846,46.76926791897298,46.5251431290035,41.58497512589675,42.52329631682428,45.529966805923706,43.92023722569778,41.86912870587385,46.70411626474339,47.718092060799655,44.434752936587564,45.92325633597325,49.60395520134475,48.01055056574644,49.51516206551951,47.05195639434826,50.33257988936797,50.48941462017184,44.750127281483245,46.37943248673684,48.72974646516091,46.329217344373504,42.92983574257735,48.102057147889596,48.307250676162056,42.77456184408037,42.62836655113675,47.64750631886968,45.30512657607123,41.5477688013621,39.008874566052455,42.46887575369089,41.0087741517739,42.531797380416414,37.40780545409486,37.1372826889513,34.15803888681429,32.97247078834787,32.783497234042585,34.32604613970578,33.13996744997142,35.24946665349775,30.665994222966003,31.710642241506104,27.60650754196064,30.779877691957417,33.4822818399813,36.80895442363775,34.59621662073721,31.250055739585072,34.965507053581526,36.36853493999382,30.94561975518031,31.90098488109612,36.65168289071452,39.02199557200994,41.092762951853125,41.8876099396496,42.167966287120485]],"stdvs":[[0.5604763794662937,0.5839966339390953,0.7066340492593716,0.5414578700000805,0.5993826793142196,0.5820014693206672,0.5525047147070606,0.596663847008714,0.5881604871388899,0.5264741265858124,0.5242067761049504,0.5419312702027329,0.5086029781104052,0.48696034484504025,0.5094540375968243,0.5278412829163365,0.4886475169765307,0.47346046375579776,0.5772839802578131,0.5343569466473027,0.6297677926800133,0.7064467267493888,0.9782151931317693,1.0248888583177485,0.9756417065265041,0.6657048498418947,0.558223204855733,0.4723333600272162,0.481262592404246,0.47872668355867704,0.5180507148562349,0.4932358426148077,0.5098880261243792,0.5132400356890107,0.49817694700186066,0.500912151515107,0.4951421849615509,0.5702678882002751,0.47525096575067577,0.570197855260278,0.6318652917768808,0.5892864857700377,0.6726408166380177,0.8041378800240184,1.0996549856703373,1.439998094340989,1.805841038308116,1.1588357795552378,1.278460291138681,2.221083224371403,1.2669098137522408,1.2927189714998748,0.9069223421871652,0.759850667652256,0.9209652260389227,0.7926446949718239,0.9179531574472979,0.7801784670355395,0.8066590632226386,1.4423608524428846,0.8506275769596182,0.7657283483642453,0.6637100852434731,0.7739387941724745,0.6990877467943973,0.678634766696127,0.655344361627954,0.4954583330711838,0.5920820902218424,0.5792876477299529,0.7341357261291822,1.0193145261080718,0.6219464724502742,0.6890346974446319,0.5437164403180292,0.8296523930374924,0.5957722177400815,0.5592217768970139,0.5593710773335793,0.6680489755522013,0.5536546113043197,0.5957774373179138,0.8203333033168322,1.0406536186692208,0.8381512113054371,0.5277346731624653,0.5156901868747967,0.5879368164177564,0.5482432588932987,0.579644994630668,0.5337301634961504,0.7521713027771366,0.6279126483736229,0.5243004283406857,0.4971879501060285,0.5620856760959834,0.7036649889668274,0.5778821876181225,0.5476264222086958,0.5324410549253331,0.5025442121035573,0.5364539739234689,0.507359007583387,0.5562015299707018,0.8756810821780358,0.5436403441753402,0.6713632352880978,0.5972998793441552,0.45554059598627633,0.5014756901343812,0.4841304898177412,0.4936927774197409,0.5310829987227444,0.4911205871780771,0.5156179272804707,0.5395436490642032,0.5253014942445355,0.45424531511526334,0.647728357969073,0.5049156967433498,0.542345841389204,0.528717902773097,0.4959975198562785,0.4709570962565947,0.48400588441864517,0.5508430539875895,0.7006525865146414,0.5844077545617555,0.5376708037346825,0.4099014323149033,0.45764895921971727,0.43709526804808213,0.44487209029552777,0.3823567494534535,0.3715240497074279,0.36777414153570903,0.5594462366602142,0.3430586562276437,0.3789380092007506,0.45210733745256926,0.4583869117649231,0.7409516017903122,0.5004201839742197,0.4727081395836871,0.4669179187261704,0.45423115877441406,0.45190354569287977,0.49984219967608295,0.48720927667855696,0.5509711251598027,0.4939481549315876,0.6000915934745403,0.6609203845374697,0.9590625540720754,0.8077563590483278,0.548553479877168,0.5503019404587207,0.5149419078424154,0.47755164166107406,0.49546814890602303,0.44217100283747357,0.45147914805498485,0.42957524309531425,0.47184964366182625,0.5062196322888485,0.45912309771716636,0.5937689136893434,0.8712862830658963,0.6413439235396738,0.4687303873490603,0.38586199058053505,0.40656262508938634,0.44724322090760493,0.4488868519134645,0.45195867153403935,0.4535789656659533,0.526473236627028,0.5176043526594198,0.5503844553813854,0.4863362437435602,0.6313888161573835,0.4366834059824434,0.4924815146333673,0.5531620832473862,0.5271919042639783,0.6563021370762598,0.6479372843832762,0.9560277652464059,1.9983387239702028,1.2566671099062316,1.3900024371518864,0.9641577998879712,1.0598382785544311,0.9567985665649343,0.7095958871320882,0.7280781831820353,0.6593376718411879,0.6319824108720392,0.6307223922230536,0.6169589549440123,0.6033479321538565,0.5492526341295523,0.5287661563780339,0.613170458390884,0.5707825819853966,0.5541926504821346,0.6844397559177764,0.6661870031649549,0.579612720733592,0.6691298782697818,0.7502014473417318,0.7074236519166229,0.6953606823685835,0.8478940974706187,0.8516235989010494,0.8844701220720644,0.8952206126946589,0.9260959542196716,0.7953861572606292,0.7614661926637262,0.8139253173000655,1.3674804006779087,1.048231918779224,1.0473747521898522,1.015461526719615,0.8163312397596157,0.7515225496080075,0.8894387375835414,0.857870060793547,0.9540633235462682,0.7528957840906401,0.9812716546077188,0.975113884271102,0.8375443776751726,1.4004108662684998,1.1926194367616587,0.9824158257484572,1.3902672451665024,0.7029269866585204,0.7810394732011235,0.7221667456964991,0.6909018853386433,0.7976597570297821,0.7884420485892047,0.8700905347071588,0.7420289327848191,0.7757504505420878,0.7717371594629483,0.7002881636171528,0.5847322040548986,0.6079701096489176,0.7013190657631161,0.5996631882098001,0.6327480229501641,0.6291346737237546,0.9528217437345766,0.6983235002357688,0.631194515503362,0.6320582095111752,0.5984184324760006,0.6085271949298611,0.685016515518749,0.636735997017243,0.6269671707509415,0.681394087336717,0.745804882506605,0.7359989470871265,0.7321278942550302,0.856633969436448,0.8822772530243251,0.8504668187972366,0.9289717396515071,1.0767826979611446,1.2133953386455414,1.22453517619229,0.9934591330041944,1.4849127119436927,1.5056674993259593,1.1976026984447319,1.0702570083814997,0.8789597997686068,0.8568263669171212,1.1513897387286745,1.0101136311571355,1.044004218288968,1.0640512919103395,0.7486641191443049,0.6305763300454794,0.5516893851900063,0.5326195416264476,0.5923118436869469,0.5147547961097063,0.5120697007727415,0.7588112901021424,0.585055427600495,0.5647927629289043,0.5979173889138263,0.9521274648327142,0.5408805256255402,0.9337565431000195,1.4213064410614153,1.634096793721638,2.0968382790234443,2.684176221607254],[0.573719728816469,0.6027595352644122,0.7158436389804513,0.5726567862685793,0.584473398681342,0.5906661484458914,0.5515374220150204,0.5776615354052629,0.5838674153214998,0.5106755756874765,0.5029138757963205,0.5004243280683264,0.49025049311022695,0.4566301310847025,0.47415297755950125,0.46522115343485565,0.43696743436150787,0.3847167419923423,0.5386447921029327,0.42999041034557994,0.5326170675537623,0.6675934473714117,0.8920355588974368,0.9643210444766972,0.9078748591004986,0.5998255727568712,0.45194292417621784,0.3484337004821256,0.393306092329802,0.36881193707442006,0.4171625074767782,0.4081859495692892,0.44546690885906787,0.4242640225585088,0.4088157219685134,0.3855663110131545,0.4026279973805684,0.4955914522505813,0.39853032761920554,0.5046935224510238,0.6146875452859223,0.5327636491535128,0.5978629518321489,0.7306894767450043,1.031685898712274,1.4196340060131212,1.7999622081290128,1.1089871894904848,1.2848426718450452,2.2625640504447126,1.2619991450369736,1.2785010959928442,0.9207126909125534,0.7794255602999431,0.915579607547741,0.7651641011228283,0.852081317900262,0.6857616544870717,0.7335089816322794,1.3582248995533948,0.7728240438972077,0.6633724328292545,0.5551334854865086,0.6647385361685292,0.6148402472171793,0.5807929692015164,0.5436416625151329,0.40690689057094287,0.559125799432788,0.6298777757402637,0.7006749581019456,0.9834029445116669,0.6187612988092471,0.6685428623326922,0.4957416724119796,0.8389174181258189,0.4931484143572333,0.440769619462748,0.4311376385986501,0.5606612689982077,0.4923387803030653,0.5098806072330052,0.8248868744958384,0.921818048531572,0.7585879371123153,0.446079278628814,0.4603474959784536,0.5202643669187043,0.44238713342725366,0.5034984596686154,0.4273801838787946,0.6963179424339052,0.5545101620479823,0.43484753528981773,0.4402127177864406,0.5075137148304011,0.6509016932686492,0.5179058765237439,0.494339102420719,0.5194243150758016,0.4318440203094206,0.5176532997653882,0.4319632621457113,0.5166361901902516,0.8429287573431838,0.5057321781409917,0.5782637694378073,0.5532241020469606,0.45295864659272633,0.4345080240529052,0.43731613927742014,0.44688195225229543,0.4780512550922858,0.4127991138238595,0.4625703428479726,0.4405348126960599,0.41768104953492374,0.3579542710708709,0.53835282505649,0.3982208268606462,0.4286539751589665,0.42324478379394037,0.42219403386188326,0.4297322360401451,0.45386964497556154,0.49094504113298515,0.6879732827831032,0.5398206451063722,0.43911435299661505,0.39250148032549065,0.4273660515509225,0.45108474238983015,0.5118630502725243,0.42353299478731266,0.4241957572435075,0.3986561291415213,0.4767962526757987,0.29996130951426714,0.20046454394372143,0.3395224583490208,0.35743373507331794,0.7125231410467285,0.4023935887189336,0.36271842917994473,0.3695774181388032,0.3317262060230845,0.3376251947890406,0.4081096565844476,0.41147008426450965,0.5143980052613245,0.4692469114056168,0.5733899885504209,0.6561084806501283,0.981149227099352,0.8001102831643097,0.49670805448900096,0.4879298396512398,0.4525375940870124,0.4355694962491347,0.46870158079498503,0.37926829632628756,0.3512929557549177,0.35824138579271986,0.4205642848414164,0.5021162732318559,0.5978914572938135,0.6656776203474796,0.9556470296178011,0.8124744401457322,0.7333343421732932,0.5133281874300973,0.4226404419435231,0.43252464236801974,0.4125988532966397,0.3771079049300468,0.4093556582054008,0.44763168695305566,0.442434169122776,0.43133920491975575,0.4183884097471916,0.6593333186615564,0.4005257180771011,0.4848422232900199,0.5765987571842672,0.5652170689924129,0.6536065990585374,0.6227514117142544,0.9479606338009718,2.134741547508948,1.2706639511747813,1.4153992537854414,1.0030992536932763,1.164485632589052,1.0904320263909542,0.7915494329389645,0.7214927911854015,0.6633847162684231,0.6071610797769489,0.5740304099916246,0.5874120215557436,0.5375555044131047,0.48588420537431903,0.47562444543851107,0.5594802650246564,0.5212947081510179,0.5317374914142504,0.653084473497087,0.6306314777994896,0.5641338730495439,0.6708636580270827,0.7448481643501377,0.706339989812976,0.7099196448186181,0.8587674194241663,0.8596956037360948,0.8840878478072297,0.8977586405607276,0.8841112822066569,0.7554688361968505,0.7356099096463502,0.7538931304872915,1.3081727147587947,0.9644062872546895,1.07302065175405,1.0018820983928582,0.7899302485127978,0.7302529771052227,0.845680150013977,0.8259898541521049,0.882855115210758,0.7283590799470543,0.9576803374662991,0.9322164837746496,0.7608242222316718,1.3024583967656034,1.1249501367293964,0.9207421138145085,1.3513091475759273,0.6404800146953389,0.7684943018623069,0.7008205889247143,0.636765057671568,0.7472068030923655,0.7140679512995219,0.8080437972844002,0.6623283293096384,0.7002381231216773,0.729510891133572,0.6866422060511211,0.5483582154112853,0.577717191043045,0.6871975368995442,0.5777298582614175,0.6102895298125239,0.6154813333034557,0.9460713936486863,0.6944957219649577,0.6284798635036343,0.6189278864172749,0.5757654775984109,0.5767652473955024,0.6405479498242912,0.603151301783198,0.5908714813774931,0.6288859857996189,0.6935506417003754,0.6824971179370879,0.6709027705171664,0.7823654786490122,0.8057346287933431,0.7727022771792654,0.8379780460058112,0.9661247385875388,1.1832861940650297,1.1646939635444433,0.9423692481202914,1.435195651369525,1.4200338105842067,1.1150720443051518,1.0299279980900709,0.8479831314035081,0.8527303762363436,1.1349264175566534,0.9695309326557302,0.9799958260061254,0.9995664548678777,0.694410956329686,0.5854071655933627,0.49618199921295014,0.465701780569218,0.5538800772087206,0.45523310341470996,0.46541903763435527,0.7354699760015966,0.6081985108533017,0.5563790279912473,0.5948009096218349,0.9496545975825724,0.5550916457759629,1.000493953987593,1.274647121517251,1.5407631280101388,1.9316238166897868,2.5093662808330777],[1.1052691929918574,1.0869545060909225,1.2225853356702632,1.0916387786893116,1.0206968686652065,1.274332134171314,1.2141664465130575,1.1543765177395588,1.1493752255052239,0.9786434141278787,0.9482707897277189,0.9292057603479159,0.7811082714815765,0.776014123189435,0.7083495971145946,0.6293752608662451,0.5393393988140829,0.4583198624867497,0.5728357720338406,0.49712148006404067,0.6299903303700596,0.7844062633291845,0.9260209910523197,1.1103152612663334,0.9519631800540695,0.7288542868915127,0.5769646306025932,0.4064678868797336,0.4199024578865565,0.45616617682387467,0.5236285827961022,0.511210531162444,0.5480868781146124,0.4692281493612263,0.43475682082303285,0.42524395925025626,0.42093145195147025,0.4892569837765148,0.4967582975911383,0.7300852506533606,0.9141031890941684,0.6661149439460421,0.7992417074560692,0.957542434262609,1.2662083506750959,1.5779509778770406,1.9735130216772785,1.352511341996812,1.4504248378354938,2.300887241403592,1.4200081266398499,1.4059295937638872,1.1263417903695798,1.0737061933057253,1.084685119970245,0.9939209076404741,1.059391360712943,0.8557190269843186,0.9168385469977347,1.5133587470798895,0.958504634102265,0.7748955778008316,0.6181878384421357,0.724919792332137,0.742287567883349,0.6838136644771494,0.6222352502517536,0.48266192020425275,0.6756149799348358,0.7749905344621798,0.8533466218178237,1.151895516325472,0.7846824127396665,0.8074339016611972,0.5687856009049108,0.9109698381713675,0.545160594825418,0.4920154903529439,0.4785956548368088,0.6272558117127026,0.5504031609812349,0.6470790751683362,0.8893781002546506,1.0265226440881874,0.9349913378849332,0.5179815869949908,0.529117456500613,0.5430826595819923,0.46552923487037345,0.49049871529769945,0.4691247545872455,0.735816419639949,0.6518737788627181,0.5387543239203648,0.6017653157710651,0.734197708775023,0.9105783437240025,0.7483052070885128,0.7725766998821784,0.8421654564714058,0.6548719851063931,0.7412956526009489,0.5350074320059899,0.6823915796679696,0.8852205736819968,0.595802210244777,0.644400871583499,0.6679968804215874,0.6260090685746101,0.6177111430948099,0.7192625378517515,0.6568401546602158,0.8907937193702119,0.6603156529967976,0.7089630192449651,0.6083599503273063,0.572556221687631,0.4746674958241639,0.6004743005497104,0.5182683325363423,0.6181249713373285,0.6538186544413176,0.710253460739114,0.77367436159842,0.9965765663975853,0.8614255610148267,0.95698837161768,0.712339915168819,0.556226767062569,0.5209948482489777,0.6360105826163295,0.7345142025991976,0.9145898932122327,0.6979738795877942,0.7767088911572733,0.6469759231998614,0.694359789554385,0.6065209586162951,0.35341040353011116,0.40173157328939546,0.5667132037640134,0.9073880047663692,0.5198641145801886,0.42130817440426427,0.4989612740686313,0.3639770838983638,0.38783837106749786,0.501106722518215,0.57499061371264,0.8698286821235325,0.8370013299311118,1.0757605812423863,1.0742022369755588,1.4919561906748602,1.2547129281823284,0.8763580872282343,0.822070333440591,0.7377943979034652,0.6169255644921283,0.5719912412000374,0.4202906463756256,0.3956832564674763,0.4873937335800905,0.6198902444720936,0.8726569757149425,1.0863807670815773,1.2598705564066979,1.6874108596515915,1.5836890974704023,1.4466231526740578,1.066216130439018,0.7652724996033801,0.7234348361053712,0.6073628451541765,0.4699116127375314,0.45982231528627315,0.4824600769742323,0.47993766034316127,0.5260451834323214,0.5132922303567564,0.8201527929122479,0.5133749077730138,0.7779403147406332,0.9888598733774357,0.976242139957679,1.0529208629687135,0.9379307176816573,1.343676203570277,2.22790594985153,1.8162799982566382,2.0404343144983326,1.555738502656651,1.7427735945756928,1.606242974393637,1.2956517185603713,1.1213199360135946,0.9530031544938474,0.830125684918147,0.6774916157016975,0.6264819657110572,0.6008977888781718,0.5892322653502509,0.6250883902316327,0.7104726511508251,0.7140584625056825,0.8153497113540017,0.988414750154606,0.9355783870745654,0.9277481858342159,1.1490003187883617,1.2202394242986474,1.186780508215104,1.225066773374202,1.4342069769012462,1.3961243380828152,1.348251942577443,1.3215616170256625,1.1822428469748676,1.042942627964145,1.0532139885823892,0.9638617045141433,1.541140499634145,1.0794957819163276,1.0574558131846743,1.1035969014000413,0.8587111502173682,0.7623025146378902,0.8549616002914185,0.8534748737374561,0.8724705152045308,0.8247459987390894,1.0460275974054494,1.0060612725323999,0.8066770933474279,1.2683854655254736,1.2128924493534345,0.9815999527205397,1.356367755699734,0.7074417465265956,0.8522996766213231,0.7896515385016072,0.6565617848551736,0.7433257092706234,0.6714558987853665,0.7360256023220191,0.651091309628025,0.7289973246480536,0.7381088604943404,0.6939451966315506,0.7165729211437928,0.8088843763775244,0.9570179114679032,0.9347001563490731,0.915295898363001,0.9731465627596121,1.0023118505543636,1.096260311807259,1.0205301335999055,0.9848439772160348,0.8117992848157566,0.7316817200069962,0.7694002307164572,0.8253818748153773,0.8387576783944269,0.7254479996276098,0.8179969420484186,0.8755181813125308,0.7743394856035715,0.8201458473571938,0.9171487982250855,0.8908919925639324,0.868859286316603,0.9984010068066905,1.3290035129522857,1.2200582097464052,1.0753080094012495,1.4889087405098078,1.5369584758075852,1.3659213472214955,1.3764212287324131,1.2050429176591968,1.3396186986075664,1.5799454438522347,1.2927179483592324,1.1796433022346204,1.1116240127747081,0.7972044916784994,0.7218003523122324,0.5920920773738679,0.6817552412080127,0.9072224074979487,0.7733899527833532,0.8278625203829159,0.8196068846067128,0.7815921519939972,1.0141861872748053,0.8346233359516085,0.8649570205830688,1.0543907443210323,1.262454941484585,1.3279596772063897,1.4229989706377213,2.2313385275823707,2.5717639220537865],[0.45816603546541795,0.49753444158671645,0.5733688329283261,0.45046448480888457,0.42182611289842037,0.43995718258820815,0.3622452805816089,0.4217609018066738,0.3781442483226683,0.31361713313192846,0.32798525197367534,0.40985871821853453,0.3569841958086893,0.31830970256515073,0.33268497753050597,0.3749826977528015,0.38126267253037605,0.34768462574944364,0.4580589789382479,0.40974926924631944,0.4711284949279829,0.5253628593021882,0.7956640843824777,0.8369171548146825,0.8625183956134675,0.5527010789894159,0.40546242160959345,0.35212433268662346,0.3683514958301363,0.3136642113959757,0.32856202754144265,0.3756994524555122,0.40332086286337643,0.3814894455227191,0.36682737419657246,0.34649238454012704,0.39054952585625496,0.4328167879451343,0.3480140755401661,0.4029211363521321,0.5537503879914021,0.45414105680560213,0.4884964445641849,0.6009707869747173,0.9446857209577509,1.4742639715586674,1.7036928242411835,0.9465066115536577,1.369057696190403,2.291152199664342,1.174466002143428,1.225228111641267,0.7933319728454205,0.5762389245060227,0.8192773504317509,0.5775436414653657,0.6693272207137098,0.5247236919872877,0.610916320752766,1.174472655664307,0.6609885685031861,0.6123599856958865,0.5024927455677695,0.5393026810487025,0.518449031909186,0.5497604096483849,0.5013014236610704,0.3830204287011334,0.5360968433254175,0.5641002849177137,0.6592373662981843,0.9365678704117413,0.6175143096875447,0.6469827906019844,0.4380427154476813,0.7726192385737376,0.4392953038001256,0.396730176736174,0.40287499038557306,0.48315779290102545,0.41426915823607546,0.4172114071381826,0.8036917048242932,0.6458732317884389,0.5982793084320641,0.3666545847014202,0.395399782244745,0.5032241128541985,0.3771850990624282,0.49611302052210055,0.3775550176331883,0.5711720728570633,0.4475585498423207,0.3282182428401823,0.3284195076513481,0.3978155050674734,0.5328081226538568,0.4150430639144806,0.3803980009367107,0.44178186678844855,0.3870793507450004,0.5050512046722093,0.3949728870893021,0.48073195951462494,0.7063468854425516,0.4581048593369298,0.5054025920120238,0.5065603525980444,0.38979037730785293,0.38883843652904804,0.305583233158321,0.34715224817644535,0.3369237555641194,0.2947602983793826,0.32364068467577617,0.3520433160136364,0.49632973640699046,0.34339825253650913,0.49301565411248616,0.4219175289607034,0.4230762448884289,0.4103191464424365,0.4870227301674838,0.3622647844216137,0.27251639192461086,0.24835313659129957,0.45228550547560115,0.37952955530282384,0.3124322589204837,0.36605377685185403,0.4085474910256383,0.4302110350338763,0.44510469255154694,0.3954210560113537,0.4322947382340272,0.555654652956001,0.5087375385516955,0.39969988630448633,0.3056407237640044,0.25912905736682,0.30664559101036803,0.5285659355092934,0.2997399158571276,0.28632720791206673,0.3008092223743273,0.3271277355975168,0.34525673283710795,0.3502724722491659,0.30731743189902855,0.3718101059247288,0.35731239855029034,0.4135382395343064,0.6025855089977408,0.9313413054126152,0.711335823069714,0.3952439089173648,0.3656269741183375,0.3561374469620301,0.3586947597801913,0.3867510516906561,0.3164658167762139,0.3491744428839812,0.30568546432688615,0.33756107735935825,0.40758961366680063,0.4986673489642898,0.460663640390231,0.7004000770813071,0.7068980252789339,0.7036275777502001,0.4367954170187676,0.3600213535049267,0.3694075753798685,0.3719847410034436,0.3371226510045486,0.34865332214286265,0.4070788483298273,0.4318456043471312,0.3772899772799153,0.3787263016615132,0.6698106832072571,0.31715962221736355,0.39735568575010055,0.47244560331740815,0.4615850087235113,0.49492826673991547,0.5032333254102548,0.73170848506114,2.1820151765309554,0.9070273255026113,1.0369398041611828,0.7516283528083134,0.9367393657328705,0.9602442701239904,0.6703363025118358,0.5394724190715029,0.5271642246908294,0.4832742141464347,0.46069453968104884,0.5371382664494552,0.39109246608780196,0.3391267819860585,0.30761554845728056,0.36987233357311855,0.31947276011512926,0.3406336008645817,0.42115575431312535,0.4099719795626475,0.3670037042984347,0.45800058956510625,0.49767997905615347,0.4678270480056438,0.515996316792658,0.6415970504281303,0.5976214997361167,0.6183738340986736,0.6970539643439688,0.6179678560285783,0.5096739676119749,0.49447580624330373,0.5106245269150317,1.2691483680587383,0.7066561435587726,1.155662245623379,0.8836230519693591,0.6290102604308362,0.6265692142371968,0.66892078864278,0.6533378230721675,0.6361732199962089,0.6613841221030605,0.7697154468354208,0.8334850669624937,0.5470980985386795,1.093358931086711,0.8938079503808476,0.771810630254078,1.2888940235794966,0.5247925971838997,0.6227142985614332,0.5845129015652508,0.5652048228063125,0.6703156999119284,0.611761910083267,0.6878750937823069,0.5524118885888335,0.5577171582666179,0.6197129694155992,0.5650502484527897,0.4113080209781714,0.4531130404365371,0.5798764375916338,0.4177966124819287,0.4429520051493484,0.47660472421304495,0.8744208238016253,0.502783392972941,0.4364331019641578,0.41200782216925946,0.3951449170154865,0.39839054768892135,0.4570440988347522,0.400740644546455,0.3945335031570002,0.448083259960192,0.47761275612515486,0.47389374327788375,0.4806012776056482,0.5705201438936083,0.6049086396867935,0.5513690089509254,0.6488434908365881,0.7345665368689523,1.0835380501243292,0.9796049893367909,0.7362969303052483,1.1762072534870027,1.1161135497192358,0.7957464138397039,0.750538190641205,0.5985924021426108,0.6028738388192139,0.8945819639877316,0.7056827035845915,0.6941533533576164,0.7650642424637232,0.47270687362366365,0.4003483535716107,0.3434455738857463,0.19281945972982462,0.3202281721934558,0.2885114268144767,0.3006280127552852,0.6750400655131804,0.5216483424269523,0.3994121489417613,0.5135078457507508,0.8958746756995357,0.42606042346147066,0.9024349160033217,1.2977295681962553,1.5260188781801798,1.7730810867387197,2.3363497144100083],[0.5807078704528875,0.6198041812707461,0.7444826331467976,0.5470652537683179,0.4683603703173341,0.7266632026581188,0.7107532353361109,0.7317198080329413,0.6677369546843936,0.5404888207917984,0.5482112716710699,0.6136786505632298,0.5197870576388389,0.46241529207059734,0.4832925743294159,0.4666870918433039,0.4367916956344961,0.41292174517828983,0.5040024757423871,0.477600565242164,0.5311891103430756,0.5875281183321794,0.7952265759237629,0.9107365879918378,0.8789526262378168,0.6717172770991147,0.5235299179662932,0.4510591596071208,0.43602869860078336,0.43344499741870457,0.4554538080947048,0.49037947716316516,0.5193245320769393,0.4968004615738467,0.4687885450964011,0.4501736009266552,0.4778869890091279,0.5317156394126927,0.47054794035131053,0.5254468617263796,0.7016996965509064,0.5750536647598309,0.6111009890956962,0.7166055707063231,0.9764792255292771,1.5125748057227102,1.8317536128282683,1.0699938544632606,1.4843271075738018,2.355243318677495,1.2911920985952388,1.2289752723771015,0.902923407939887,0.7664103128387729,0.928744008383437,0.7045717617202929,0.7571799561591431,0.6320840579540514,0.7140674850850255,1.2410809960420646,0.7183855560003221,0.64920464901077,0.5568496952583206,0.6184366069759565,0.5823644118047687,0.6099933196290493,0.5813446080900652,0.4600263231978884,0.5854062108226279,0.667292835076963,0.7095223675315628,0.9887770396949015,0.7382209699364027,0.7420496239405509,0.4987256123277138,0.9222242559525097,0.47754559572772104,0.46191418334023604,0.45886837968653754,0.5511422354799951,0.5020668348880254,0.5265254965874395,0.8895194966945456,0.7024484146054212,0.7259954984096538,0.49124319214499207,0.49619675138448094,0.5675475566031418,0.4515832229464433,0.5779303431930448,0.46516249157039097,0.6900217362124884,0.5652957013973681,0.45737427680098286,0.46502128453830316,0.5639969659189242,0.6605316550363529,0.5362068635165236,0.5480149169727491,0.6897140077427258,0.5614315806108874,0.6796796980192846,0.4994956284677427,0.596773070158199,0.674934610486071,0.5164881619132385,0.572049572489303,0.6142549390812692,0.525753073352085,0.5175185054809834,0.47201103080851436,0.4824374583955042,0.5377759324855839,0.40781207002050285,0.4524996788130541,0.42830907402253526,0.5535539376154418,0.447815718530975,0.5573091393682618,0.44099740692960215,0.4554090893818183,0.47970999663591696,0.5153490902422668,0.41993192678388097,0.4665689116119486,0.3854753370342868,0.4375578512097593,0.46797591527148485,0.46033147576873457,0.5135157124011164,0.646469260161841,0.6698818231466351,0.7070601033794,0.5879316777049511,0.6910803200505765,0.7635661532243088,0.7946711184757618,0.7256779410922156,0.4762421100667669,0.47610460190918524,0.5392668599272769,0.6899937084039963,0.4671976807950897,0.4444265641221978,0.4625848606772756,0.44284206636126594,0.4417741853476695,0.4636470899445984,0.4414635797766809,0.5754169875421306,0.5905475187450729,0.7595224065787402,0.9377650406684603,1.295867126319803,1.0647419917269514,0.7003605070085471,0.6036550301487479,0.577946940615343,0.49636467663166983,0.49994810633684467,0.44429928310694994,0.46428204081064306,0.48635577980816824,0.508919833255689,0.6030982555544256,0.7424704657143767,0.8026253636935928,1.101961435486993,1.1096845891816225,1.0638654093485014,0.778979210939922,0.6374183089002412,0.5808437194093616,0.5428977877043334,0.4677902884505532,0.43445482834336946,0.4899855632694612,0.5238779584737965,0.47359957898355165,0.47783129332124447,0.795124109320855,0.45061208514852047,0.5769844927212973,0.6854135249357377,0.676513341756163,0.6622981487746195,0.6532658128965938,0.9365312359820444,2.2168589562014738,1.2026921790884408,1.3908412948597184,1.0314413022504332,1.237670868826916,1.2291704313227347,0.9567042573193026,0.8181109311022942,0.8054090805029552,0.7667708312363225,0.714652127696395,0.6917334542439603,0.5685164363823628,0.4995446443076188,0.47739842619837397,0.561859343858805,0.5253412477435424,0.5536434297311876,0.6238412383720853,0.6113972812820285,0.6204225099853189,0.7191216369498664,0.7510230201690286,0.748549736258428,0.8066080607530316,0.9275701361231881,0.8773444547496834,0.8366845409782114,0.943968199479016,0.7483192036659171,0.6688093791468386,0.6793775273401627,0.6613415125286158,1.291009720735132,0.762851505331919,1.278806988717116,0.8684609685191166,0.7167804871586572,0.8295344165010617,0.8571056600828193,0.8743316930114658,0.7832344856388419,0.8864880815579486,0.8789165802222659,0.9714006779307487,0.7654335169376967,1.1372725585869812,1.1288387903437562,0.9846127920521796,1.4033954592448608,0.7637550793177476,0.7315726592400431,0.7171788166786539,0.7083116738505669,0.7655390826427417,0.7810881506451575,0.7845703367284347,0.6681807002287502,0.696001139585746,0.7356414543520315,0.6847506152649397,0.5871999579623809,0.6588914414280123,0.7785473599075924,0.6631827504736953,0.6667121815048894,0.7282840373685958,0.8919286975806556,0.7561832964210702,0.6964150759167983,0.6393637773949178,0.5857774318253912,0.5735696653538653,0.5515626044228981,0.6042903185772883,0.593259571848103,0.608112319656479,0.6243538117602225,0.6213870673387055,0.6280322755199178,0.716316384883167,0.7733286254475009,0.6835808708752592,0.8121749594383103,0.8506122479708789,1.260323591732924,1.0291735767409034,0.8254209418503436,1.2158758332494894,1.141318171736557,0.9101071119830774,0.8454975272446026,0.7174263626719558,0.76817046542999,0.9736655805439485,0.7578144626212658,0.780248053516724,0.917446860676782,0.7211096268574604,0.625945564930978,0.5832068620376719,0.46357797714542,0.5066692589417079,0.4635978054209987,0.5018135385223299,0.7998907852801147,0.5650856247936265,0.5806508199723501,0.538134127490646,0.7724613264084584,0.557294705127351,1.0232352805074716,1.0976954128833099,1.4742595367141078,1.6289838220242232,2.2413918043651018],[0.5817980334998181,0.6778972853224345,0.6774416074129895,0.5622109333177181,0.558975899192175,0.4423201030449677,0.36142180249014827,0.36403419919636737,0.41140818704613996,0.37020318306165,0.3639380304354812,0.4348578035276706,0.4123755085737815,0.3766452393269893,0.42930503079461896,0.42271899111259886,0.4153903879233723,0.42086594592475757,0.5070596459501167,0.4599745834909332,0.5221644066318112,0.6037375190741955,0.7474993399539234,0.8459443786392923,0.8220166789332795,0.6103980039678196,0.4407075148553677,0.4064949208509869,0.40110995787776405,0.39123343988665826,0.42546895335818713,0.43482964166694765,0.4268765957018733,0.4429795606875626,0.4117237760288408,0.41080678756311656,0.4257207994763768,0.495242064218752,0.3873780308443617,0.4477035596152759,0.6442675103329774,0.4870402399017412,0.49458550430903486,0.6038377605880972,0.8959931344718078,1.5281981530554354,1.7807588666844718,0.925152720551729,1.5717476316343997,2.3381874578688797,1.2441116879256802,1.3276519220915095,0.8157099104956788,0.6867118754404845,0.8327914728569322,0.5698714949198666,0.6413497477007215,0.539865216937869,0.6211916048638771,1.2416991992387363,0.6969631063455776,0.6512852533831323,0.5258849076588636,0.6033369922688075,0.5736794525949345,0.5974102483135583,0.5759974680004267,0.47883794918088923,0.6241345445108366,0.6843037164938571,0.7401083022293393,1.0036735810809578,0.7364800108155919,0.7542969834062895,0.5320282933224795,0.9531186055074601,0.5013629229887564,0.48181209207019177,0.44155162470539794,0.5187345097163615,0.44431292920863386,0.4604886540976407,0.8814756693457326,0.5989703482667434,0.6482086163227114,0.3905577174371725,0.4284379995909029,0.5377364020332617,0.42851231431138276,0.5229039480779288,0.47008947903498055,0.7191570351031511,0.5417932795308903,0.41575039907477285,0.41596687283126804,0.5018608744674402,0.6212214937331585,0.4355001390995132,0.4136149544611151,0.4846249162343672,0.4099658397641384,0.45664985869496877,0.40411492641345065,0.40107997721240723,0.5764094308433696,0.4336162051426041,0.48385714552283093,0.5199582550332573,0.4415543088829667,0.46428782734992036,0.3504692659498236,0.3191723234033519,0.28193611519607353,0.27627714283531185,0.40038841845409534,0.42362411417025847,0.5237346137193885,0.3953930102328621,0.5028594567137227,0.4451030575240878,0.46827896444881717,0.4474248748661757,0.445987912450035,0.3585666301710557,0.2879247852278524,0.19497506077564367,0.2730412660560459,0.3323896812679556,0.3891552107256163,0.4883724516732234,0.5755402554623905,0.5585820629207577,0.5847291318839828,0.5157085869255443,0.5830221443659445,0.674752368769198,0.647286034155859,0.5124712327574915,0.3342359117960291,0.3294008811336267,0.5291205942996393,0.576644085145023,0.3901681788424698,0.3531215994326944,0.3522961059017554,0.3929550259251746,0.38281563322516426,0.3749866923901079,0.28881073097520865,0.3326127582723315,0.3587706622982617,0.4073834249024026,0.550884107865395,0.9653238389683786,0.8602177540563137,0.39441279847855026,0.3635307613320817,0.3250731946157883,0.3481867940551774,0.33398501696288235,0.3387111651736369,0.3783037233673065,0.3539088579567186,0.37427021126922233,0.4468846292549383,0.5525171810037789,0.5740103508816222,0.8065522701937501,0.7913128058419723,0.7445198153726257,0.5672545023149039,0.4549098513487115,0.4479680332705972,0.410803927232533,0.3672390716829722,0.36233949350988304,0.4435172747592252,0.4814932073196827,0.4153248723083362,0.3893950146246218,0.6257931761438673,0.37059975576812,0.46052883193491967,0.5198646261370182,0.5458997629557224,0.5572295994830975,0.5557642490269825,0.8210447421746491,1.9995513604350743,1.018667453232797,1.102605763953201,0.8548234148586129,1.022101567935007,1.0354985960839251,0.7801767256246969,0.6974991313715513,0.7179971859028381,0.6796604648917736,0.6553176819115306,0.7399056138608194,0.604356392813757,0.5628856452144008,0.5452077569858561,0.5811070709642889,0.5626815828004,0.5896916323477968,0.6007505104243978,0.588139916263966,0.584519324560292,0.6160860789107948,0.6180114118169977,0.6220355088481387,0.6904544081576308,0.7499515082474318,0.7008294983186202,0.6989537010498768,0.8236877248665773,0.6554707562496828,0.600922963162799,0.6122602494761951,0.6056147490256513,1.279050481112325,0.7670576544925898,1.3793183707654566,0.9039633412751267,0.7202675220228123,0.7989696355607414,0.8552274183159317,0.7593250781372578,0.7237327646072514,0.8280498920340399,0.85375911890531,0.9457307448327307,0.6913254913291665,1.1478617487867795,0.9911278545474085,0.8804943903069254,1.2960482576250405,0.678374769747504,0.7534929523562051,0.7566071619139487,0.7805719624700085,0.882896172618563,0.844703583047293,0.8856887958008833,0.7767778070101585,0.7785661409787381,0.8376460639982897,0.788884855159809,0.6603456728587289,0.7073802574057931,0.7944935079333612,0.6460313616524034,0.6664114947790382,0.7312480755097703,1.1135362369115078,0.695472003756346,0.6458366801962666,0.5914167698345115,0.6152325503357657,0.6206362669061114,0.6015654630112968,0.6001330189035794,0.5918236107818201,0.6299592252623692,0.6132422650767259,0.599812533361957,0.6254226733844598,0.707977731381278,0.7127718983132512,0.6637921878595042,0.7732449818337397,0.8398028161769355,1.2366618353691998,1.0553391648946444,0.8315099028630174,1.2346256103903266,1.0800384161681624,0.8470907940117911,0.7415148845592733,0.6393953880332847,0.623496255701856,0.8558209042083101,0.7072730613886442,0.7453004360131458,0.8391684410404032,0.6947702007767618,0.6563339487465469,0.6102514535039484,0.5458242247213673,0.5029452104163719,0.5220166885082995,0.6475112647897602,1.0346303084780017,0.7785488250316973,0.6790912009370078,0.9619930521154629,1.1501829355194533,0.7407306406253155,1.1097617634090342,1.8116781060249336,2.3677582109496527,2.090885562089861,2.6597781263261964],[0.4622905263856982,0.5441565839459106,0.5620387575120639,0.41302939878029427,0.4433307262166373,0.3613230771232122,0.2979867272327102,0.32521054181612985,0.3497349645192434,0.2596609759385266,0.2678735797497016,0.3507052507543147,0.2671213908802839,0.23297096845421336,0.27171771996460536,0.27057296087721927,0.2941205068631227,0.27709601579920556,0.34221614480259177,0.3254458526950135,0.39675782629072165,0.4735531094844002,0.6177192881982405,0.7864217540449611,0.7007177447430846,0.5156260980242807,0.3283825939608495,0.26453451601613964,0.27378585495220453,0.2525962976941224,0.30209575943698364,0.3106871979279246,0.32956184411000705,0.3317380121193064,0.27438040069010117,0.27765600485236946,0.30993210920739134,0.33618704465435034,0.2629879736163737,0.3402783252875754,0.5835527649449561,0.37921635409810234,0.3945410660478885,0.49511648280393467,0.8045731864767002,1.4936736223293339,1.668867635430618,0.7978638064224556,1.5821876446716503,2.273523419179783,1.1610437893840762,1.2338118206308977,0.7337754076020623,0.5933270758657584,0.8071318305834095,0.4674860553428211,0.5390855084633122,0.47039635235662186,0.5669649835369985,1.129509570343465,0.5904850867159771,0.5261410326617142,0.3960607173317957,0.4937963176799181,0.42915585918054744,0.48206099614515263,0.4790560459686539,0.32895718207273256,0.4936604563502406,0.5589842901906322,0.6479136956067141,0.9551661719236609,0.6566326642971232,0.6447437161484466,0.42273288549664567,0.9111992825793985,0.3691912632307679,0.3584310770319748,0.32000057606965254,0.42747149541211793,0.33101567807748056,0.3789273889791738,0.9459433149123352,0.47300836630523335,0.565973791180835,0.2892637159801949,0.29423029970473713,0.43251076304901526,0.3073577127977808,0.44137066011121,0.3356646870198915,0.6098658150760166,0.45212746596388753,0.30341181315798726,0.2953232876004382,0.4208292108455049,0.49642836158798603,0.37457917856785256,0.34825856272312156,0.4806110953713714,0.34299689717019927,0.44300396437697,0.30420961426266674,0.369299342370732,0.4858422877570479,0.40097511486206594,0.44472148394391314,0.4328614332875722,0.3820817051634267,0.43765717719468866,0.30769866615463537,0.2551091439193294,0.24502006138124355,0.20718740807963315,0.2250933572881184,0.21523489338655521,0.3811507138966224,0.24751213698261557,0.37963524027846385,0.3104529987686439,0.2982973029048313,0.2824966764953846,0.23166888780877415,0.15992548048202276,0.1571389283916172,0.23503519305941029,0.23309590757886556,0.3039701519686078,0.3230146996638712,0.40824183004380665,0.48851542985511054,0.4751520019919554,0.4856206520576832,0.45091117641634937,0.5214632598031352,0.59902767325814,0.6167204213965615,0.4271236204514332,0.355030344983198,0.32957702441898623,0.5829923585343866,0.5576579952527199,0.3445974693903013,0.2566656040067328,0.2377047996791687,0.25776763867548247,0.22613867866256973,0.2658732967695178,0.19597246125664922,0.2795343940213356,0.31395571221454716,0.45821992566630493,0.6271429467818037,1.0941846779228472,0.9629685392542442,0.416564880733417,0.31378661046911915,0.28170489781112334,0.2425221663882002,0.30414740736597107,0.2765609869863511,0.262849758940042,0.2540153091857496,0.27413431278966394,0.3886570257194769,0.5297373479781297,0.5161304445877296,0.7439791943542466,0.7437657477494728,0.7059847002490294,0.5097510314071405,0.39708970820305267,0.391911136667627,0.3318244565930766,0.28303038962763666,0.30183312541769314,0.33860309610745193,0.45617783846673765,0.31653984530091495,0.3304876483832547,0.5335513545616831,0.30196265922219,0.3764347008876454,0.43250827441769063,0.4760899639242708,0.47903871691006183,0.45435430883589595,0.7853437232345921,1.9225563137897608,0.9369716832877791,1.014870795288007,0.7932204651404773,0.9469589122254196,0.9587473888607568,0.6814514777225494,0.5837398868590501,0.6110879460291601,0.5667789387943148,0.5393108601270109,0.6319004166097295,0.48232553377008164,0.463567556710066,0.4472805398530138,0.48712626149988586,0.4785838547888833,0.5202880519515843,0.5535341488317618,0.514383308827739,0.5331728125549376,0.5604715164190155,0.5653504493962994,0.5770510079992466,0.6549266050017573,0.7106570831682296,0.6557433255105528,0.6482541454582611,0.849862920297503,0.601830927664659,0.5372463501090875,0.5593185832492499,0.52386765259976,1.3350523516529256,0.6847233399865352,1.42527880622617,0.8280435068401314,0.6439260951889239,0.7330863011167956,0.7661715029209828,0.6716235878898221,0.5737974013971344,0.8228115005204384,0.7407667988797353,0.8802667120963816,0.5785462165896389,1.0645821701278437,0.8762090195050806,0.7798496893940715,1.2458988620261044,0.5681916835721573,0.6334826618565426,0.6585546813639523,0.7278868800750024,0.8283335903849546,0.8028938853859543,0.8039605366304673,0.6992165954047733,0.704410957362349,0.8014197516142527,0.7235236362839158,0.6149601583795148,0.7094213174680525,0.8088875364196808,0.6320969454017716,0.6521356213181243,0.7533631999167723,1.090582619097433,0.6802815816280071,0.6369779368399292,0.5577601067066089,0.5746625229007182,0.5647193320303934,0.537817877443494,0.5422601156010095,0.5183361850454989,0.534743237520615,0.5055376693571935,0.5077009107114817,0.5071901642764693,0.5638599409362085,0.6212175636296825,0.5605476336820385,0.6336905713486913,0.6936420083781485,1.134740057911728,0.9130690223189432,0.7400125521163022,1.0916345350623466,1.0048725636873843,0.8327045535403874,0.6909533270667362,0.5858193554800958,0.5577320438837787,0.805341173427417,0.6529208767283129,0.6836960507070757,0.7705668125179639,0.6017527237527842,0.5470257179276331,0.5017450744980146,0.46346487161708383,0.43386920139138174,0.48286704602664615,0.6770927920510059,1.084096580865457,0.7178281965197635,0.6603526575394961,1.0034631439109245,1.0887656538695092,0.7150938112055658,1.0677692276192083,1.89326403689858,2.6789491144717745,2.4449707610078937,2.9511579303922084],[0.4492015355356893,0.5030345805195097,0.502590954859234,0.4006479651213183,0.44980394123970646,0.35943781963648147,0.30290683917299294,0.29764322870330234,0.3047937653261243,0.21380932115489962,0.24970793328862134,0.33600359524158485,0.2711366473830388,0.23457134100353855,0.30068350065068494,0.28095690204403345,0.43011706559516955,0.4131534946256084,0.5137512364330399,0.5041678504097162,0.5973255561169875,0.6476066757353385,0.7197369954082342,1.0328274423557322,0.8251232196767433,0.7322747793940014,0.5875404597711126,0.4827571493191066,0.4259886279202067,0.371079462687506,0.35679325685651414,0.3651080401785407,0.3694384990265753,0.4177171098737863,0.37340098247989234,0.4226218117060843,0.42264065763669617,0.49088539147405336,0.5278272808868238,0.5875893447671446,0.8354194690847823,0.5966096140637648,0.6390659647179283,0.7090708692517388,0.9610512799552948,1.6036201866585962,1.7783880846566908,0.9134559250359938,1.6890736382196272,2.251426285766832,1.309148095230181,1.2182225234572885,0.8651412941046137,0.880838252041364,0.9075014757474039,0.6853274163897461,0.7053686578913512,0.6688929886529837,0.7221811172376768,1.2750868271864515,0.7666547174770372,0.6478782535901477,0.5298649836845032,0.6488905260766226,0.6042507687221133,0.5963530705969677,0.6023115257497927,0.46815709940037986,0.5777681988107437,0.6135978987050694,0.6527183201721957,0.9745312031783385,0.6873679576523356,0.7417148656583922,0.49819249101376933,0.9389440876205281,0.5053497020968091,0.46904213612978557,0.47513107141679617,0.5776797731144377,0.49924968180915613,0.5529643427133518,1.0657983798643544,0.6859355946832598,0.814397887962067,0.49902106842951177,0.5020318879075463,0.5330891006012553,0.4759721253409646,0.5432313399837749,0.4312672103653067,0.6545186960219643,0.5068162758027743,0.3464541457762795,0.32362791208049413,0.45688381666264083,0.5410421479355526,0.4124092337871077,0.386307612035502,0.5304293937329175,0.38191241019678746,0.45009728690756157,0.40499524440249035,0.4225559205567402,0.5492144624666837,0.4649771214422243,0.5133551415011206,0.5291912109901624,0.45163711533223744,0.5041739250937672,0.35906874644959696,0.35550195146689395,0.32326817741450353,0.3532607759022898,0.32265837450003404,0.46617751735082646,0.4969374174047326,0.5307387115735426,0.6155972807357142,0.4992988561382855,0.4787589095686471,0.42268457313542457,0.5264319208690914,0.3817234205531071,0.2711962479855042,0.3779095094412251,0.2653621046378576,0.4053757213979487,0.42967214386587327,0.5441902266831414,0.6216897293574809,0.6105289785511034,0.6741209195041373,0.5961776236519521,0.7111500413043395,0.764369001161823,0.7259886540061097,0.642841770552995,0.5488469262804937,0.6395959012121696,0.81102121356863,0.8111494151560407,0.6112941472188789,0.557241319893196,0.5309961912294755,0.481636774855693,0.46819118053278413,0.434099678888122,0.35130486490777457,0.30361910631690847,0.3280653533620744,0.5015202830051553,0.6753596263157732,1.2958257806404403,1.1085848587928189,0.4605875954783454,0.33013121148614716,0.31076217139392315,0.3085262116885878,0.3828570679715652,0.48495953034606915,0.47204391077587504,0.5524944969225165,0.5498026558885204,0.6166836274642608,0.7623960827308365,0.7639740540344389,0.980478322918985,0.9405147474413381,0.8978316626317671,0.7355199982691224,0.6382805807494886,0.6086544413942664,0.5536833372839468,0.4837328588331677,0.44197345022166046,0.46171684334635765,0.5602332653354815,0.4972891175075405,0.46762795082404507,0.6590549247611743,0.4869391260609547,0.5774343164149389,0.6521268781332386,0.7018679094060922,0.7135131024353457,0.6822719140739454,1.0562434784274841,1.790103787330874,1.2163337604854834,1.3208462154812908,1.0546172450317441,1.188865516695368,1.1549720760002016,0.8722163895301451,0.7514845785860259,0.7546507236538598,0.6858713496794283,0.6211271350685869,0.6908092093923954,0.5254042436879656,0.497097538161271,0.48001865641709546,0.5097014479755394,0.4911084515789643,0.5176687346535375,0.5581487962467122,0.5166440788174381,0.5247437028673232,0.5441576770012986,0.5580722449898387,0.5641335915134712,0.6365714604880747,0.6949581188442329,0.6620831842602793,0.6508431260115066,0.8731951058654589,0.6132915410479,0.5439100816430692,0.5608992641560464,0.5379126047805819,1.367703821668864,0.6950120934409901,1.4259228302399176,0.8419525242391643,0.6546533578398372,0.748919396601367,0.7928877227329977,0.6963681017366011,0.605092852380652,0.8596166877153463,0.8001128808040762,0.9153958923533382,0.6473255456720631,1.1124329169607383,0.9492163772845205,0.8433527675930776,1.2701008036054964,0.6269974426058738,0.70617275432114,0.723855234711775,0.7710377711187917,0.8778630394581352,0.8489110396498467,0.8587064692717041,0.7441785131800812,0.714717550237788,0.8352344671051851,0.7459245069338291,0.6218182743751882,0.7177176107281228,0.8088957000588417,0.620442200518988,0.6446173488551286,0.7556819022025765,1.0268494414792093,0.6702175059309498,0.6330037884635946,0.5474339640218392,0.5668165838674587,0.568543276807401,0.5514187666378843,0.5422863604992337,0.5180108438345914,0.5504458631048712,0.5147093301293059,0.5171448914065344,0.5266986148066128,0.5848461070748346,0.6559568099595738,0.5855291700055972,0.663317696931768,0.7288532078104888,1.163964978259188,0.9406538708110137,0.7492506925978919,1.11379692587902,1.0337267319560368,0.8778476999392169,0.7241127232312533,0.5918201945325224,0.5474646509685238,0.8013325770792005,0.6626808943752376,0.7211156538247848,0.7966879119979104,0.6364352480193474,0.5832942826119956,0.5635105419322025,0.5205504448168369,0.4361864074718179,0.5072571013546598,0.6998646821974148,1.1258791373770805,0.7005248973838862,0.6377676529301124,0.9931020036036519,0.9995660507093104,0.669895245858413,0.9906411070258822,1.8762844300442825,2.9226010411523746,2.804582717718173,3.235676523065287],[0.4876628518126161,0.5130525862725369,0.5762120094627675,0.4323529284434498,0.47554550065446277,0.4445386755215038,0.3741414269558011,0.2866574845850191,0.18404615401752794,0.19162718819905056,0.22541969633742595,0.32464672445399384,0.2534116610986127,0.19996638877970527,0.2541620177155096,0.23044252758045292,0.32944048747078947,0.3082291022923132,0.3759694016441698,0.3599234799001867,0.4430857002192372,0.47550147130382453,0.6005072772100292,0.8170672746304614,0.6536266471402791,0.5583578509987739,0.3884547766426702,0.32086953601421764,0.2946193901731247,0.2952097671784308,0.2990106693416054,0.31806456751848744,0.3626874769349886,0.3603155731907225,0.29924968510741895,0.31891370995507046,0.33213560829351046,0.3411043539872981,0.3463765232208445,0.39027486017341156,0.6297914030140532,0.4195926785246633,0.44144641914261196,0.4882825516979832,0.7536405158463386,1.537781368659208,1.5743213972924295,0.7165921371225278,1.6939555207260522,2.2041431153716844,1.1893335188127232,1.2049921664559353,0.7403750167559148,0.6636370369958896,0.8686060518692443,0.5109651334167962,0.5311245664190264,0.5211809248701058,0.6070286712461085,1.0926726918533203,0.5810420191687994,0.5478458796538807,0.4076215039257649,0.5302868130606966,0.44204279423050824,0.4818712207930604,0.5385294078831979,0.37326350069402253,0.5147532238515027,0.5452617910369724,0.6979451533750415,0.9936858262819359,0.6711807103760147,0.6687026090795269,0.4275178008287844,0.9585597251614331,0.3942461552352286,0.3900881064883728,0.36062978928028616,0.4232756991759128,0.35907844992785165,0.4393188257773823,1.084738118245535,0.5046473029818811,0.6162693004567831,0.3592512260444087,0.3392877267292866,0.43645411625518743,0.33462290869649336,0.47947132490876526,0.3504823043940251,0.6084131309109182,0.45462244699392207,0.3085988510149964,0.2937760004522443,0.44199537432187275,0.5313816867408102,0.4064970414806292,0.39296016070891243,0.5100862280192396,0.3761370855433158,0.44665473240338094,0.40773406863602146,0.4368475091628808,0.50503391850985,0.4701557898863387,0.5027620089029544,0.4676417060286535,0.4222562908255089,0.5081875008164896,0.38690901407072975,0.36430182202783895,0.3669345195911551,0.32194794412431155,0.2846636906673015,0.31869730682063413,0.3534714809400731,0.2849603746846269,0.3831889096768625,0.3848076344444458,0.3191615546818472,0.2801558726824393,0.26971999619465387,0.2512507213925191,0.3066413127534309,0.33819812726860604,0.3841935896834569,0.3710013002228834,0.3884669231928294,0.4674847264043164,0.5016733125555516,0.488768097031776,0.49359541665555334,0.5077742088218855,0.5395963289704309,0.554723017739211,0.5941605134074558,0.44041553916610454,0.39140547808173987,0.38835184254949623,0.6237233306493901,0.5578217600078335,0.4058123029579331,0.3317656735347391,0.3097886777181911,0.32482314520460204,0.2924415103095441,0.3409287833797655,0.3341210224997613,0.3124377220444075,0.37049149047713864,0.4780538608640162,0.6087199208381907,1.1698458385347896,1.0517235532383806,0.4389559787415415,0.33990748528047077,0.3428441826323478,0.30680992409469493,0.36045824343125465,0.3806609566218952,0.3369149666737429,0.342039676807566,0.34569063297905517,0.4396144137587742,0.5433604548290408,0.5232564130015113,0.6861048335117419,0.6654964674391789,0.6417903606627088,0.5217691038817052,0.4296687655123469,0.40470670293601213,0.388620756649495,0.3506409146781508,0.40215972699226654,0.409473533744917,0.5365871656219114,0.39554648691503014,0.38917405314080367,0.5030920926192841,0.39304943063985515,0.4255218461542246,0.46100773762096675,0.4988206425168547,0.471895931769312,0.46672386833030566,0.8636200769247221,1.7321675979727589,0.8944846615154914,0.9383960833072803,0.7784110300773016,0.8961232631307435,0.9132515987187271,0.6455980463932701,0.5728461404549887,0.6070011597043306,0.5544059944146232,0.5408002428643522,0.6194321692320682,0.513026269839504,0.5265957954219785,0.4945155432420123,0.5150300802080299,0.5294599002925925,0.5796219416040901,0.5740940194395144,0.5555849700787329,0.6053082482829498,0.615489328465092,0.6053142625542383,0.6357369812035996,0.7237280778133167,0.7561427825775645,0.7021198582539758,0.688096940484314,0.9227523435502668,0.6304692784327127,0.5652277822525777,0.6009930865617268,0.5592459863816538,1.4427324220157705,0.6915609656141926,1.5415458579702506,0.8708216709734055,0.6722137282967475,0.7311579519263234,0.8050606155771675,0.6439603376045795,0.5585018728371324,0.8577646473970557,0.7502893372414353,0.8797745359894836,0.583418181931707,1.1071483816613579,0.8057643796841495,0.7591659178111652,1.2071017836164353,0.5509911043723882,0.6402558504722103,0.7140395707325701,0.8087269470099219,0.9054294916088182,0.9317038334874794,0.9093239905418763,0.8048005808512996,0.8003982498989971,0.9393729828276715,0.8186142512191349,0.6975105685434887,0.8028994616533844,0.8770725940934992,0.7018949357412213,0.7395105481339546,0.8840850161027342,1.192741498950599,0.7573885047682887,0.7283152313151817,0.6434872782225777,0.6643760365656299,0.640634659696627,0.6233422115561986,0.6110454853516003,0.5724518869816991,0.600498946134139,0.5428545963864129,0.5429240833549279,0.5280537703114023,0.5679881595379214,0.6331408441620024,0.5876621162647391,0.61899266457321,0.6967887805448021,1.1236479967344049,0.9239332889942188,0.7566136388527458,1.0863788706665154,0.9984555841818854,0.8633757174778247,0.7177806008121217,0.6205791042790153,0.5946656065142313,0.8278382912031823,0.6780300775449684,0.6892394929943827,0.7850131762656156,0.5981347811124527,0.5467594518274311,0.5163578231209325,0.5085048395035684,0.4984619713809088,0.5612625793251215,0.8201656455037724,1.2084727247784124,0.7484104524955931,0.7750808249396595,1.2119802613116697,1.0788103496428292,0.7992104401926645,1.1230060445338914,2.3168267829434397,3.277102214905694,3.308529544848675,3.9184879766005225],[0.48578650641280413,0.3981188330188565,0.48513071758611565,0.35060022758380166,0.34433437192198985,0.36950287214392846,0.2428037530426866,0.22542657642171995,0.1965641350464218,0.1269039811785878,0.195531291364639,0.32837161135378307,0.18848235271669006,0.18135646743627215,0.3094723694247335,0.2386380515612786,0.3130513545328219,0.3543774237042889,0.38648700864329144,0.3773075850233533,0.44324038557579554,0.4687303564259754,0.5605247621027847,0.7831928076083031,0.6170740569590889,0.5492655336018369,0.3752231269054532,0.33098225012374644,0.3095363798635789,0.3046207589800993,0.31243215709651695,0.31687911884659076,0.39813003099078437,0.369441155195767,0.3256350835032556,0.3384841870893387,0.32002981831713856,0.3317620083892145,0.3285681883935826,0.3508918328479298,0.5775293114073645,0.4231113823149286,0.4342059507917481,0.46789479074941304,0.7126664231375578,1.5099367283017842,1.4789944361796439,0.6796144598019702,1.6769711419661522,2.1837600169837925,1.1305071631343775,1.1997769321047442,0.7287304136213733,0.5635438531611457,0.8977570704346496,0.49970229351095075,0.5272253155409106,0.5187953890264219,0.626649709111756,0.9952531464673746,0.5662123721030964,0.5645811842032331,0.4097745755135661,0.5625791024026613,0.4383255350878886,0.491364023384197,0.5695087251127326,0.3995897653771658,0.5228031137295197,0.5247086323233875,0.7414927050253844,1.047556175708097,0.688440131613201,0.641463411717077,0.43791338272090485,0.9792201452646807,0.4122346611004383,0.4183821101628071,0.3697318257646885,0.39704099209041854,0.36185509130352245,0.4714611513531959,1.1468450181107541,0.48343441266549164,0.4927615917030255,0.3441049036357844,0.33153598117742317,0.4459642193070656,0.34518668808131653,0.49750220821260427,0.3653477302487485,0.5746337467436158,0.4169096941378635,0.31462859958886025,0.29771232503251616,0.3937614630409067,0.43567930428306506,0.3835085093997416,0.3707063923903813,0.5821830726282292,0.4138515048139856,0.4409348119005255,0.3542948326198153,0.4171315804184186,0.447719283203185,0.4074708236858185,0.46964472056689643,0.34573674003305993,0.3358069198176682,0.45058311098855275,0.26766956064391667,0.23407634887340875,0.2457053347877449,0.30008355287676813,0.2765742758927725,0.28451860967566245,0.35845763472879694,0.2804474989573963,0.37468368703075317,0.43031511650551785,0.32751243618269926,0.2738814315047351,0.26779204190924105,0.23643304425116854,0.26397805472533165,0.28328107350553206,0.4123113056931231,0.3174338954807329,0.2613193953799763,0.318287666724138,0.3391562471667936,0.34986685663765865,0.3479395743062321,0.4202392110217239,0.4303980566736098,0.4470927727076195,0.5609436664846751,0.38121399566976805,0.4210908463602868,0.3612261255635134,0.6065612257675389,0.5195760116370075,0.39797629544729907,0.3093529947442855,0.27979795525018153,0.29815441492411865,0.25621586838193106,0.2844518429834025,0.2766777287074082,0.2821350827745266,0.34787214125815846,0.5371057154236081,0.7751812340066879,1.3725872286251117,1.1473492213489072,0.5192011707280811,0.34098802026310293,0.3478012604702349,0.28006603047443435,0.3730287374160248,0.3067387012931052,0.28768378910776343,0.27343701897421185,0.27753093551607605,0.4246145321226111,0.4977626100530954,0.4390626131513409,0.6008490280640179,0.6007523535632047,0.5934675008194871,0.42478290089461,0.36408397017761956,0.335600120937502,0.3024285638908677,0.29616603742623265,0.3666935536358391,0.3701168351172931,0.5634642451554016,0.3609759287040702,0.39346680731908135,0.4266088117635762,0.3087585383548272,0.31109893153825197,0.3441109610688658,0.3943919755160819,0.3877108054934512,0.3943837984535374,0.761347048730767,1.7783443910374002,0.744309673531871,0.7528525845456521,0.6556082847136515,0.7560477841797723,0.7955025630855087,0.5145730635601182,0.4283426144829491,0.44487932189796386,0.3792663389712533,0.38406589952940967,0.47717009960349904,0.3762746199276472,0.4109810559282809,0.36159321888254264,0.40455265359759873,0.4308945800158152,0.48094831517146003,0.5141528304488528,0.48449541599204504,0.5553056091856442,0.5714879665112934,0.5834465577544422,0.6226841336407325,0.7151592678903173,0.7857079660832154,0.7219063582627003,0.6793675141013058,0.9423258787287755,0.6163693770906524,0.545089775223471,0.5831872096505154,0.5258495612051961,1.5723594639520195,0.6441287005510268,1.5367334609652192,0.7734531160338255,0.6021078109935313,0.6981728660148657,0.7588356240468747,0.5662729909560279,0.4523841687214948,0.8417527307222651,0.6174477248731929,0.8209188493344415,0.44812625708811243,1.0050447593805611,0.6726064466868551,0.6490530264876626,1.159679372837917,0.43112654278360973,0.5084986105963565,0.606887300851398,0.7342142760133518,0.8431889347601107,0.9293930102827194,0.8483814810602255,0.7249589713431155,0.7438065923106851,0.9224674182257145,0.7599636354520376,0.6419064079645252,0.8001492831371506,0.879950111922616,0.6779633807047366,0.7272605545836162,0.9018363354404756,1.1625299957762967,0.7614669401930273,0.7434870204687345,0.631048269684159,0.6319215874704707,0.5862613175799348,0.5624118721010071,0.5875058783826641,0.5195752258428398,0.525763946715542,0.47331129125381377,0.4897087812473213,0.4389443102830027,0.48141821414954467,0.5722528451676815,0.5027565621476999,0.5174026574436715,0.5886673530813129,1.03135257411354,0.80597302122021,0.6877257004771847,0.9506060246251387,0.9389069575498268,0.9077150265205571,0.7066220116090017,0.5946074082850026,0.5643843990919106,0.8004313825361831,0.6581683712980447,0.6588197187928593,0.7283357159840459,0.5223791327223063,0.4519915106239777,0.3689536046439135,0.3508950444597362,0.3983912934651959,0.44224552062708605,0.7830520322533191,1.2064307730715762,0.5902586421492009,0.7422113188763573,1.2068917552661753,0.8941583352315169,0.756485271874917,1.080017595386637,2.382897728720465,3.516820178846492,3.697628100122891,4.289064014321011],[0.5319907166173058,0.3952497623433933,0.47626477525865063,0.3559433925226819,0.34668110495802473,0.3733363620843792,0.26631479543560094,0.25717463576636906,0.20662724279886546,0.19491436069943288,0.15475560700749408,0.29861042889843925,0.18118976532859857,0.20551158635766176,0.3562922424672981,0.27764215912233187,0.334130830661658,0.4203243345186659,0.4544297871142928,0.43683699268718945,0.5043656746132058,0.5010141386216097,0.5981510579458208,0.8066813760241476,0.6195590091584382,0.5870455929716526,0.4235012869541425,0.3826016233899126,0.35674437647510404,0.3578159291127241,0.36010678492512155,0.3457036104801501,0.4600729596194547,0.40722823508275763,0.363354929917127,0.38347602090357524,0.3508925208473007,0.3890433862315474,0.3773819614978315,0.3866512503206829,0.6029497407398066,0.4737193471444819,0.4831387596187151,0.5029430295945377,0.7188975087053628,1.543507986867613,1.4403292430603931,0.6981131744531295,1.749464880351117,2.145340555859214,1.1743504412019423,1.2052539318193094,0.7139300769928303,0.599548911968082,0.9456861985726775,0.5513945441581064,0.5753106554946952,0.5694163649173388,0.6700342597989883,0.9757404778262034,0.5934041720971746,0.5941651906606606,0.44795088774212577,0.6356350695222447,0.4863666276374669,0.5250591403732744,0.6368420484519007,0.4582056140769807,0.5841292866290151,0.539010658112686,0.7968379934997871,1.1152274309675678,0.720364951867723,0.6869178939321897,0.47408538869958866,1.049963301562431,0.45591132806003526,0.47807792442343855,0.4252230009835772,0.42353196671753035,0.39482773652123726,0.5154187990774608,1.202291595384567,0.5219925385555856,0.49828419549074127,0.3697148843131785,0.3859489416300701,0.465067885992822,0.38750066273343436,0.5354016312785855,0.4201439644984955,0.5974120944701604,0.45567154088158246,0.3729233035736623,0.3480190920471231,0.44649440472907803,0.47105236431983877,0.4110351036139083,0.39026068229714145,0.6545576592592034,0.4234740618132583,0.4532573242535059,0.38334579509193306,0.42073001528130444,0.44146442855479917,0.37464266021852144,0.4726832282453228,0.3427922629291841,0.3421377385887333,0.4664415229411,0.27700942745720925,0.24717825334677546,0.265267402563442,0.2958885137181035,0.28920498584387927,0.31385498586448607,0.3688820815288507,0.35047638207874765,0.47227058507041275,0.5029626693991056,0.3974102567175321,0.33973775460599176,0.3396382213321196,0.262671882335324,0.24337488579362032,0.2777115729564028,0.46628489063215434,0.32090432261627533,0.2871066642787879,0.32459981185267445,0.34713020970799074,0.35279834577287356,0.3457374236087606,0.42957868519513076,0.4180626725527706,0.41848519546282714,0.5494738600413422,0.3837624566335153,0.41674877203301625,0.3733510421026675,0.6341388507334698,0.5552795954552368,0.4508617511712007,0.3664927394794574,0.3262352381647726,0.3405836939506527,0.2923365754644613,0.2911447545511919,0.2855972426636389,0.2824465632088305,0.36423199365566444,0.5880877656899723,0.8216297444877514,1.5070912079180672,1.2543112490223436,0.5880218591232127,0.3706328574246214,0.3831991843320829,0.31213698433560483,0.3715794901184228,0.29868847232409457,0.33228393022127745,0.30382404665828716,0.31314792238487804,0.4617388072277944,0.5039864459325556,0.4400261829057675,0.5984855554491525,0.5782188615551244,0.5824296445195449,0.42244752835815613,0.36779267388294146,0.3343909246272333,0.30869545470781223,0.3210278623791557,0.3859972689662803,0.40301280617318086,0.6048151909552372,0.41189629763659447,0.42131428409918914,0.4251549840924069,0.31118871386846386,0.3211868376279941,0.33401499112398836,0.3817879110630677,0.39588917346508057,0.40839443247993,0.804572790010576,1.6623957531382085,0.7177828254007776,0.7099019274494869,0.6450308076966635,0.7202684761562346,0.7580552552390812,0.5052167396294486,0.4445516506334848,0.4553307890356724,0.3816510898788128,0.3780642305753852,0.44942558133930327,0.3625121843344677,0.41710276671004626,0.3531873355940274,0.38943281282254366,0.42869516750118436,0.4775693314621741,0.5077414673229799,0.48125504797455104,0.5617193726996109,0.576745134744405,0.5943697822050193,0.6443717672011442,0.7400873246753955,0.8131292973650663,0.7510910779875384,0.6964055446587167,0.9606353939058166,0.6242252811429582,0.551678294164603,0.6000615943644405,0.5335048686690859,1.6380558171550823,0.6428608856082825,1.5349011556686982,0.7835280730691001,0.6093702050117424,0.6853347868403026,0.7610516770091205,0.5430270568187545,0.431595446500702,0.8443338531647667,0.6244623395814104,0.8087547978649268,0.4415327166103237,1.0209622930071773,0.6381490486433322,0.6297642835056072,1.1334117836563982,0.4070159084635681,0.5145799477332065,0.6346964046695733,0.7600382924893517,0.8764415317967315,0.9594472982848383,0.8752668167017897,0.7527739254326894,0.760451358269887,0.9319730671480454,0.7642357999606434,0.6498644243274565,0.8227030151593475,0.8919047620255283,0.6904229632987979,0.7542181361991672,0.935806409522566,1.1722424008629393,0.796085819126995,0.7911895155270512,0.6574663674411073,0.6560616725868926,0.5982351039790629,0.5838192426471828,0.5956705651307671,0.5207248538373683,0.5257518098622899,0.4706274434843315,0.4911636655819602,0.42034664084850776,0.4630297430528077,0.5559516986692978,0.48962304416550234,0.4927599347470445,0.5713270262623545,1.0070838858559772,0.7918449325214715,0.678726377860686,0.9504460966020795,0.9424860245994438,0.9193284096636306,0.7152805080114232,0.6002591265452627,0.574228647534272,0.810735533682994,0.6558402158673208,0.6505483807321576,0.7178206102126946,0.503595971500645,0.4370760256223005,0.36131121751467943,0.35370932913404224,0.4025445587067499,0.42976875301075085,0.7861146271026359,1.2013529265083875,0.5467825089636988,0.74596830870508,1.2368514509971626,0.8129500728453938,0.7482318951023177,1.0720695438100707,2.4964278181687685,3.7137885380253532,4.092500206007575,4.782941995231647],[0.5055863810570042,0.4552157280677866,0.524500351875825,0.41722061268675675,0.4465975467102568,0.4446410626864008,0.34990033972217466,0.3426376102664794,0.2998650896713993,0.3006338356489389,0.2849987479837759,0.39222991333673846,0.292988854981531,0.29384546584935206,0.37486899856884676,0.3480962937036823,0.4229613064110332,0.4892036974982594,0.5518355478803904,0.5226678632229013,0.6247494085154649,0.6045543772090097,0.7159707474052286,0.9622048536360869,0.7291267400740263,0.7097506666366215,0.5291014205311726,0.45314844162250406,0.42712261528229395,0.42621661918525616,0.4402720058290624,0.41796135785958594,0.5470022391368504,0.4886055819521762,0.4300891976637719,0.4531571673597618,0.4276387952522011,0.47248147410376207,0.4685301019597824,0.4873902295138818,0.7134635294804094,0.5455573346617312,0.5695674740456899,0.6074609067491777,0.8317089115031034,1.652620726554537,1.5971505073211198,0.7662323228335819,1.7870682004052991,2.1232242539347665,1.2486783318312344,1.2266412862701241,0.7498059115501232,0.7303538899891996,0.9333711229345144,0.6071257788739385,0.6258136849988697,0.6409189384660829,0.7245879440832023,1.11601717086651,0.6830808025038477,0.6518423034912455,0.5350278160500037,0.734077901838664,0.5943113991879273,0.5935777278645271,0.7391766734865285,0.5497357538486577,0.6727034213143185,0.6243434899533009,0.8061653464049477,1.1051748688203884,0.7529842813675124,0.8044702886238682,0.558640634025632,1.1197159694292942,0.5472542773280688,0.5718039803374034,0.5063991130727357,0.516689488850984,0.4547998316452053,0.5419463405617134,1.1932206372776042,0.5598784095882395,0.6246244089692788,0.43844354879718367,0.4741145069279871,0.5065018447142476,0.4778031037665643,0.6147316589613993,0.514296521634566,0.6733020197926991,0.5669113466802191,0.4782960429105739,0.43224015160118506,0.5572698829957936,0.5829017267584343,0.5060267738855174,0.477117728572345,0.7202495940088331,0.46153370536536126,0.5195017392458413,0.44974993807370073,0.46434808073298656,0.48943115288488925,0.43271891317157557,0.5150963235576915,0.4182611453490223,0.4042411313164354,0.5284825722636463,0.3360583819845643,0.34189863962157246,0.3392577106385097,0.35292425464112676,0.35481113120744895,0.38957593660588385,0.4370662329748231,0.4603763335802044,0.5994121721722426,0.5643966186353214,0.5015404777686853,0.42385662594830487,0.4649079795271976,0.3675973943176181,0.34534322255044436,0.36954656833759914,0.48036612693301434,0.3776872847463759,0.376468450580196,0.4408763454976998,0.4741566439093523,0.4562417128201146,0.47119273308735043,0.4964766640674488,0.5286458357759312,0.5311514028888956,0.6034685853320985,0.4753610876145404,0.46067174319856025,0.44771124742567625,0.7071700089186415,0.6752182188488736,0.5567125101020319,0.44969225134573504,0.41906641689906077,0.41131857239305175,0.3700753316942048,0.37233147831921853,0.3593051864105467,0.3253388921764118,0.39537582896174484,0.6301571385661999,0.853766183466364,1.6122910387234308,1.3153494365057046,0.6415654414976192,0.4228792012200096,0.40155452133863695,0.37593534239005316,0.39253082319073185,0.3827078086976585,0.3829540425383851,0.3993901706780394,0.39909442345753066,0.5135202636652394,0.563713342722129,0.5376724282268538,0.7357315784496617,0.687253386474762,0.6729584436480084,0.5322890281120238,0.4589764099361929,0.4284129466197472,0.39838629474830894,0.38754624895406414,0.44452204297510056,0.4738206908787163,0.6448330423121387,0.48302776740401376,0.46116157418495607,0.49448768489044287,0.39176765751303066,0.4283119142796834,0.4337701791823359,0.47861489905054494,0.490950198685958,0.5077487060082241,0.9312080700555853,1.5977351094097307,0.8765100613862825,0.8906866582859959,0.7738254821674585,0.865135928502599,0.8872081650234014,0.6436336289874015,0.5618577111966035,0.6014979742559454,0.5126566539123919,0.49623524290608734,0.5759052453668781,0.4639251974894757,0.47668399701822545,0.44080522131046923,0.4919566861145069,0.4926411111541023,0.5205988871151395,0.5773372355813483,0.531821150794232,0.5790203562566062,0.5881144730967057,0.6117106972676755,0.6424349936392139,0.7204218600680086,0.7946006706061796,0.7541214468076428,0.702778969703835,0.9608078742910696,0.6692564925836716,0.5916981955235311,0.6172865968463404,0.5757335714767418,1.570712324779786,0.681939566645325,1.5167416063734072,0.819819319562082,0.6510921197381174,0.7200783838120931,0.7864012858737869,0.6146045906407476,0.5334889464504654,0.8664606455748044,0.6956881036680068,0.8639586383473429,0.552633774083672,1.0811310977127169,0.7782908068645994,0.7421715576041394,1.2114311400146165,0.5389458478272018,0.5944000673046487,0.671560249746699,0.7769281374549575,0.8803975988145014,0.9570727905507781,0.89518260273392,0.774632067950615,0.774797026455902,0.9434662292616472,0.7844575294888065,0.6692212988000154,0.8235659308457083,0.895595387373275,0.6950894355154118,0.7505408303543152,0.9094442516644491,1.1334618770773779,0.7772317685213693,0.7693354606978628,0.6559039013306872,0.6576837720550801,0.6207435773779715,0.6110539799835691,0.6165331523778277,0.5631826783914848,0.5637058457997391,0.537342066671868,0.5610762938982266,0.5270001710736276,0.5651166681136054,0.6519538926612415,0.5905242012186336,0.6236168228146874,0.6834453193580153,1.1090450151791786,0.8929704680078915,0.7530299692375279,1.0558719609982556,1.0251656103136912,0.9912728651050662,0.782345005090986,0.6341480248821264,0.6103994986609468,0.8426405909401724,0.7385307538880583,0.7627456350707426,0.805239241545566,0.6032055492141155,0.5373334270259369,0.4718542805923553,0.45222834314971,0.4581209469055228,0.48350011277773913,0.8001805860485273,1.236688816689179,0.6178386014590735,0.754658815699147,1.2263171278099188,0.8697840996019555,0.7786214360640646,1.0676661530968723,2.3601926515359835,3.7073611639848396,4.037893866690936,4.537172106830291],[0.5326508930956568,0.4388318489812011,0.4977315209911162,0.34763524008550234,0.3792980550710083,0.42091224359975155,0.2535635913604524,0.27886319816252525,0.24162761213910042,0.18932420257465268,0.18939201436595046,0.3532512784009373,0.19488705835179096,0.2076431961310813,0.3775695496461043,0.29601473492825753,0.33655978691190275,0.41385309068790355,0.46931645832371083,0.4400001574105904,0.5340669137496892,0.5249438762907069,0.6348804963743465,0.8822339566225079,0.6637653080657693,0.635872000158962,0.43675683402272175,0.36855507447966374,0.33750345268989423,0.354885010714692,0.395486447921632,0.3823428059389351,0.5137353959353029,0.4484944723315328,0.3867095689249865,0.3867113183933939,0.3476030386454604,0.3636604924044374,0.36245525016833896,0.373000551137334,0.6334709717201878,0.46679036078101965,0.47897031788795325,0.5175550236115499,0.7703639562894636,1.5664222132512235,1.5421037351418567,0.7153644277132357,1.7050596065535952,2.152645809669996,1.1575415657605967,1.1978697666987241,0.7385617414719201,0.609359203856106,0.9344500621235522,0.5337810565969512,0.553852060711004,0.5621377329883879,0.6603958084774687,1.0156020118573856,0.5959406532520805,0.5876687949436407,0.4474070787115114,0.6641001952303474,0.5112756056599407,0.5303840330347918,0.6707075345787532,0.48215420799040404,0.6173055374507609,0.5788035510538863,0.7965226999925239,1.1384026814743213,0.7448116747649088,0.7573347658000694,0.5060792270933797,1.1013757913833886,0.47878694426428403,0.5107833155109395,0.4262320082790257,0.42656329815066313,0.39627796788996866,0.4983231202167452,1.1820033637249727,0.5034859605112013,0.4999676398616191,0.35657297961748474,0.37538553958113885,0.4549097187976325,0.39322965096263324,0.5545187927370158,0.45669559201661036,0.6390081566913746,0.508069441611686,0.44751793901364356,0.40805111769652086,0.5280802890896455,0.5029657944717728,0.47762453127176957,0.45828270799153115,0.7750205128073836,0.4797947582449876,0.5208614318157194,0.3827579376368205,0.4450662159364314,0.43794307464957766,0.39273520861768385,0.4737663334821541,0.3489489161149443,0.35280662080766034,0.46619907559769114,0.2755265265945821,0.2296524974222605,0.23849583903369595,0.2940000348639302,0.2801432225707561,0.3326126378459473,0.3797307503655526,0.36400184893277654,0.5217890965651482,0.4978921442471532,0.422867228191947,0.3547796808702645,0.3830684957508151,0.2961135059738892,0.3041376903585156,0.3157846202105037,0.3605817597194138,0.32208972164757527,0.26480398987200576,0.34029065681117593,0.38150297191559845,0.37557807993487236,0.3982811918608714,0.4367378982819433,0.4912425980351584,0.5186159489316136,0.6204639959441917,0.4343201326749103,0.41804607946759165,0.4066889716038666,0.6659499706830381,0.6117019121218521,0.46589770136541503,0.3594405864676146,0.3219535719096554,0.31729923782199715,0.2814072611979007,0.2916400196539878,0.27445254246686757,0.28685288560523603,0.4017327495752207,0.6226803018696617,0.9929785644872203,1.7607823364793378,1.3495996070028846,0.6834785492188491,0.4198290529991813,0.4207109898873168,0.3264810608812119,0.3845376336359075,0.30943327598620174,0.2950039673694103,0.3137697554428627,0.3063596540648283,0.4469438962702674,0.5527333233922297,0.5148188243974241,0.7138609918686323,0.7094901764993263,0.6926602570765671,0.5007048213736484,0.4135772566626689,0.366488159605971,0.31759718042865515,0.30266169122484843,0.3654496409443407,0.3904164476493981,0.606163919361999,0.3815680593277355,0.42211156588736476,0.418777312186329,0.3048803721527958,0.3142580319962309,0.36165024826101116,0.4206318669230577,0.40984221204598725,0.4108297068084745,0.8168421901649219,1.7170572603824448,0.8076607976866507,0.8512657397744193,0.720929026511594,0.8336531321546494,0.8594624854901454,0.5795377158866101,0.481194171867052,0.49297972219563485,0.4204413384433538,0.42994386494363934,0.496806069386522,0.39071710622555544,0.40937241062709395,0.3744275828962265,0.4478988092636368,0.45495281723896014,0.4872410674003466,0.5647632277656968,0.5422067492169372,0.5806567287668186,0.6030063447599655,0.6534454209999171,0.6791337029015342,0.7374897717618094,0.8506615438200505,0.8227059757853324,0.7864270917439129,1.0421592040450876,0.7601494960865652,0.6510694952429156,0.6731697287277669,0.6079100559707089,1.5834074111899339,0.7490271241019434,1.6105575288560903,0.7646137801629478,0.6280158327520737,0.7452634543764554,0.7802441391897852,0.6237298086723079,0.48898249386544956,0.8663778964656088,0.6205736327539019,0.8785974902996806,0.4843918703792444,0.9743760083827103,0.7398827309728044,0.7159879655065025,1.1767056174984256,0.4797869799980953,0.5148244343119692,0.5962590000040597,0.7254031291807375,0.8096457225878153,0.949829319899626,0.8298906284854585,0.6977756625831959,0.7447099930793252,0.9317982667942214,0.768507840085389,0.6518009405778701,0.8388396000021554,0.9167570715329831,0.7016595117133357,0.7608956716458053,0.9355973741403717,1.1136304280835803,0.796287422433497,0.7974773047961592,0.6825324018937861,0.6698630353199397,0.6045154725492405,0.5731323829261687,0.649870139353629,0.5609434556333361,0.5334556711315002,0.5303518575075524,0.5657134598971331,0.4948893879129035,0.5419528038591375,0.67238202741816,0.593100874077932,0.5922316747675634,0.6505749314268553,1.123352469248719,0.863903053885535,0.7835207359105676,1.021846208591258,1.0435510110785131,1.1081113080990015,0.8625557467135484,0.7124761880587341,0.6683258982710483,0.8973908326491853,0.7817625304605096,0.7991682414930487,0.8031608492136476,0.6138969482023235,0.5038265478814665,0.414955726603427,0.3918064178975356,0.39876227055722596,0.447575605254036,0.8125022610542258,1.2212190338075932,0.5603540336738114,0.770442894991822,1.191916912650566,0.774779267369406,0.7912892302031401,1.0607184490926755,2.224981626404382,3.7224785226088533,4.039146618278558,4.318200881506811],[0.5768208977743338,0.37909810406607364,0.45145409137184817,0.35540467629426253,0.31380283488109545,0.36390288530886744,0.24402644225093906,0.27833242044113105,0.2006132252927314,0.18674094297033356,0.22263257792217822,0.36973811225975395,0.23401371749534655,0.23810515880417227,0.47573159885648597,0.35869606027946804,0.3463731473963684,0.41198195587947695,0.42828736315673094,0.4211363829809107,0.4712373169924666,0.48835988468515923,0.5492009932953867,0.7665599121055054,0.5772693501114879,0.5325722252570533,0.3917491467613434,0.3588654979972941,0.3670173862030018,0.39567961816577263,0.3985818431732723,0.43038351085825277,0.5077935799180576,0.47000003504877386,0.44040207888531857,0.40137127094849545,0.417428842070656,0.38217019105634475,0.35675087902172975,0.3801281726576571,0.5450341684323086,0.4591975742548887,0.46512207135825273,0.46644707633785587,0.6666932024234988,1.504027393768311,1.3893030302197484,0.67736340367316,1.7215866475429953,2.1655959538173364,1.1292159411132516,1.2407185005385246,0.7548466759195882,0.5641128007123334,1.0095588033927878,0.5911999357615669,0.5635119234571093,0.5759643065997698,0.695201378928909,0.8953225152853496,0.5674204607038179,0.6167987311136592,0.47037288497110197,0.6344051992838065,0.49248035772694354,0.5275089831152528,0.636789502636217,0.481950439703695,0.5746305103092373,0.5595588179065648,0.8186909184825703,1.1817744420411593,0.7909317659307108,0.6972936566982224,0.49403998020023315,1.0535990971451732,0.467979138593759,0.5087587011031927,0.443932838982373,0.4474945027534425,0.449101800959483,0.5524193509242447,1.2317272568818765,0.612958186317869,0.4563540886066341,0.40498773536416366,0.4026589427622855,0.5325091823607923,0.40962064681037136,0.570651095018769,0.4709712342883567,0.608604749907845,0.4738289767939731,0.42468168194319117,0.40873105716992586,0.4767629548962263,0.5021501126646037,0.4827963246822881,0.48458050033495353,0.7758904975241149,0.5290891105460841,0.5699203346886228,0.45930723152044967,0.5121858114531818,0.48251339639842505,0.4320797942194287,0.5310802445955307,0.3635292506006651,0.36542433206397845,0.4858470785636273,0.29539988729619393,0.2708516969965536,0.25402282778328816,0.3547469314901671,0.30864133507454494,0.3014626939201616,0.35753775671795207,0.3034038404298707,0.414757489863517,0.45868744945309287,0.36347051583850726,0.30877370389490594,0.3038240381899713,0.2548489336838506,0.28742445241158066,0.29468529501897334,0.4940578631263197,0.3574890664069886,0.29322848527781864,0.3145829898240117,0.31937871721451466,0.35438755770199704,0.3218460380552038,0.4782453216233543,0.4035539916202821,0.3991067315464842,0.5578956621296525,0.3858033378834333,0.45079813560679366,0.37793560293946626,0.596277858121103,0.5037110209243363,0.4075574616578782,0.3269796909315849,0.298185941802471,0.3207240962688177,0.2869636188941945,0.32553352212640446,0.3254725089242902,0.3194971064652075,0.4343630834424269,0.6424140514514433,1.0052120404017206,1.6796470665887775,1.334420092920024,0.7190873855386898,0.4712440697537574,0.48932698706713695,0.40309360559324175,0.4666199352602769,0.3250640090367916,0.34279032718963803,0.28571247746428585,0.3000894953445817,0.45099185244663853,0.4752919391475814,0.4021219995577947,0.5312408211531097,0.5482521817452968,0.5541716834281177,0.39108532470937185,0.36474542156247797,0.3311938039832958,0.320269465407138,0.36032581928640256,0.44691299037710847,0.45447414671398595,0.6604040692058697,0.453886456862616,0.5121351679448001,0.43902054845065563,0.34810048628763635,0.3235707606384711,0.32565188036767706,0.3623247732046265,0.40402592250691743,0.4014858883499426,0.7234082898765843,1.7489961125083893,0.6297045451460977,0.5989936398445629,0.561408040153618,0.6585250794303741,0.7263258033514193,0.4645209236265901,0.4132968832003152,0.41755935648172793,0.3518261805616772,0.36099653792016234,0.4326886433972045,0.35074690744254394,0.410515765438784,0.3463856541518979,0.3762732755800102,0.4039291605789606,0.4376508104545651,0.49273410858913524,0.47766319337023644,0.5486651352986187,0.5684862824392724,0.6072115706598107,0.6631081888660367,0.7512596808309098,0.8523768979072917,0.8005847295984441,0.72954065004965,1.0082131029215127,0.6675719228140976,0.5828888755278526,0.6253037704072609,0.5493883178974003,1.7119745516049174,0.6713174661194492,1.5744244100653813,0.7670107070553704,0.6135977380051404,0.7102949102541858,0.777748966882818,0.5570577364005692,0.4397879280813885,0.8712668871084793,0.6086898199789085,0.8533555129797034,0.45147557614141914,0.9823346120465543,0.6196804621405153,0.6342063721374717,1.1203679842007508,0.41951337184161164,0.531221083231577,0.634930754420366,0.7557428441301723,0.8448049339241458,0.9941503492381093,0.8780878533305684,0.7381094140267412,0.7581833150338656,0.951803826821441,0.7753357797205923,0.6313994801377487,0.8262313103433117,0.8858707254199016,0.6749714634325961,0.7530507116427676,0.9392133775967388,1.1384163670830263,0.8076049600147802,0.8084694654318457,0.670855666857395,0.658327642978711,0.5865705197672377,0.5764034633287862,0.6146135704012001,0.5211560205287332,0.5096384194207492,0.4788165091679469,0.5068006900331486,0.4160324798138064,0.4545431877976837,0.5672449496618205,0.49252312023312855,0.49591908387868927,0.5687827853863806,0.9902636707882169,0.7640695075155828,0.6871700074827218,0.8997964721509593,0.916976516427087,0.9903560489671447,0.7515259883487716,0.6276345384825237,0.6095452396930876,0.8326220336378428,0.6887554293339164,0.6706717265881796,0.7125206427144344,0.4990326712057358,0.42787319697907095,0.35541855183655113,0.33531166070109575,0.393256715737279,0.3883554387577151,0.7713667047619028,1.1994823850293375,0.4534990225348455,0.727148997892267,1.2073524804230678,0.671400552209669,0.7122122977324689,1.0379863337082647,2.5141867937368327,3.826345029694047,4.3079934637126645,5.006946204847986],[0.6007785426315314,0.41604043618484404,0.49323347063582273,0.35504262206433806,0.34758118137492783,0.41661348547229454,0.2877250458423385,0.358953132465291,0.2682449848608446,0.28319350965566453,0.3558985176742886,0.4961282155921413,0.38850826918187154,0.41687677623483144,0.5943134076230521,0.519521233707728,0.5120168077337137,0.5632208994695775,0.6404210899701575,0.5759093865135942,0.6531526052915682,0.6582765180289165,0.7294853816976707,0.9236152722888858,0.6860665047403216,0.6780732109662566,0.5457461943804953,0.49700264727547827,0.5072985018827275,0.5337748208331293,0.6007732015005757,0.6051376016448223,0.7102552488039593,0.6528878284232886,0.6185918438895052,0.5671439300999149,0.5560859450482359,0.5167260891596172,0.49211341209073955,0.4977545787077225,0.6595649414975768,0.5982690270877681,0.6074831814245407,0.5944526985626238,0.7566789230040943,1.592300742895924,1.4521028184360614,0.7528635909785162,1.7790946820015772,2.1238368073524665,1.1976963146341235,1.2874649728954375,0.8205637409420103,0.6689962462561962,1.1376491579846446,0.7375504438516497,0.6995398858909753,0.7204635913129646,0.8102331961309042,0.9947581948389915,0.7158975409669717,0.7566406285171763,0.6574059681937516,0.8567372615470409,0.6910189843413141,0.6986184371079253,0.8318517178131818,0.6688464700957599,0.7742269734243546,0.7236000079386552,0.9832481157771402,1.3983191295789825,0.9460349029082183,0.8927835870622897,0.677004350171338,1.2155046519344026,0.6665166631985572,0.6986450868442913,0.6112414380018125,0.6133031492710059,0.5900626721595114,0.6812505231157665,1.3400473373246433,0.7375328696166967,0.5585393228361765,0.5386168133193303,0.5548274159236541,0.6541192222997457,0.5798472640725283,0.7287332751139982,0.6585282218505631,0.7864006865404067,0.6747265848606746,0.6488484701455389,0.6124800090097966,0.6858673379870849,0.6695209592337711,0.6611647199805109,0.6487529459031693,0.9981564626947322,0.6746474915642177,0.6756205449827173,0.6029843728705852,0.614985681704972,0.5801974597689362,0.5025726952611843,0.610545973533086,0.41850639986843546,0.41379754509010785,0.5514415559915206,0.3464771304475206,0.33407605551628505,0.3136000076172202,0.4221442836918484,0.41943531742400153,0.4187836717086289,0.46445538583614976,0.45549117874751777,0.6163162533520791,0.5692705987306919,0.5115452156252835,0.46343626196641896,0.44739720064910604,0.3511943441615153,0.3428572308393122,0.34764858415552363,0.49819028251839365,0.40016289999104476,0.33894924683710975,0.3707988036301502,0.35102306368050634,0.386215848777135,0.35757425982523544,0.5283066453012867,0.4384463974511015,0.4294350332379972,0.5815275801879787,0.4297348981756237,0.47510230036012535,0.456571922307005,0.6874319038106496,0.6312067074091736,0.5337615747921148,0.4480804397957607,0.43627603085132655,0.44908880032707255,0.4102855315983074,0.41529071368017223,0.4055664491485614,0.38721442977621356,0.5094458939898389,0.7142127751660767,1.1446091876212394,1.9518803552319104,1.4861587962506473,0.8764968831601513,0.5939587503491163,0.5926362991322084,0.5227298308024984,0.5326048836116181,0.41864220785235917,0.44544240972815163,0.3948398999661474,0.4249072269626601,0.5283381521086232,0.5276385519444148,0.46225564061933677,0.5997425820645292,0.5791394799456991,0.5873951977832615,0.4311512921039886,0.4125785960272266,0.4040874443047812,0.41898731536598777,0.4673062431053293,0.5486579199756147,0.5736015164655184,0.7725464970704703,0.5772087509466269,0.6192744989348615,0.5068214532559573,0.4272559779667767,0.40374261502470016,0.38963284235433854,0.42072897789780556,0.4760297777691656,0.5015497821663778,0.8078486176249472,1.663751457213364,0.69607923517257,0.6665262684560106,0.6063934744591937,0.6875164700141856,0.74613255731824,0.49213595528304016,0.4384556218264092,0.4493263764212964,0.3761811561001669,0.39133543050290664,0.4539905914677908,0.39069297675777376,0.4493944330998736,0.38856090950679334,0.4257328048483385,0.443455652159225,0.4719251787798614,0.5445618280435488,0.5300652322352098,0.5827889312977761,0.6173230200673843,0.6773359816120555,0.7305261869649224,0.7987911939871615,0.9249688664891096,0.898585033989028,0.824815748489533,1.1098618228998332,0.7783077864252307,0.6683043965284949,0.705367623222064,0.6280623877672578,1.7153875630478352,0.7631849056336676,1.6299581757480455,0.7815364227567466,0.6522296356842449,0.7517239697415636,0.8000641976304301,0.5912025733958446,0.4747169498469781,0.8883953213669801,0.6268397364224014,0.8801158631247367,0.4738036992742711,0.9761621545553406,0.6423442817053563,0.6643881554901739,1.137566546979475,0.45862147376233453,0.5494397786868177,0.6581593227895179,0.7768840484847809,0.8600143612976877,1.0627514487456258,0.9344564856739744,0.7643259507058214,0.8022947097447555,0.9994073697579512,0.8254458502266504,0.6610087049944591,0.8764342828099626,0.9267666851803175,0.7046143077121132,0.7913743000973534,0.983078980727027,1.1224301036053783,0.8516885607517088,0.8680453550751658,0.7295502786235154,0.7031454092209364,0.6224059303384689,0.6106024138635502,0.6696256391379654,0.5670409466924106,0.547107169497581,0.5307418371343468,0.5642123880512632,0.46650414528416023,0.5048960413756974,0.6400232608993556,0.5600181649552232,0.5529263312346459,0.6195215360480781,1.0527695071865615,0.8116804174239814,0.7564116917355187,0.9691392140825625,1.0101786189696125,1.1371597578330999,0.8589300492037647,0.7111305268947902,0.6873146998678935,0.9135963251289508,0.7685978266512435,0.7592524770798035,0.763452898405782,0.5594030003325953,0.472146312092735,0.3904644916244523,0.36153692092856926,0.4283468927561297,0.420101302499721,0.7953645444290924,1.2261625908381997,0.47028056590326117,0.762261276806263,1.2099972472062908,0.6410341648665424,0.7611129979864133,1.0740326354707725,2.4767488731201595,4.029476622657041,4.7238589313912875,5.257818105075996],[0.5669312263260505,0.3984351457673631,0.48750543150429176,0.3607690552756294,0.37237576229380515,0.4271415982253028,0.26974978584137205,0.3265252890271981,0.250249174110776,0.24465917702302176,0.2942208628424744,0.47248622541957164,0.31299070587107075,0.34167299904604964,0.5241826358922159,0.4530871004918187,0.4311894738787873,0.5080454711316587,0.580479954263243,0.5132552538333804,0.6246638759040088,0.6054283398379243,0.7085241105172004,0.9605154906923904,0.6738798242960994,0.675440037122516,0.500780288899253,0.42247012851949317,0.43067995959606087,0.4665450742574414,0.5593544477194111,0.5665614928846262,0.7047860372681914,0.6356663139645933,0.5716549992943432,0.5130924164564662,0.48875331175760584,0.44623231505398114,0.4191141128696205,0.4325717337789177,0.6579675611534244,0.530603640819269,0.5557911308579604,0.544836798781817,0.7501807797515039,1.5966639485493461,1.5151853302960665,0.7157506491426924,1.748285345260408,2.131258213742279,1.1916757138530072,1.229692959876024,0.7684440237329551,0.6491755683938454,1.0575487078794041,0.6523311837202652,0.6300018662975513,0.6684605058463683,0.7588722678093933,1.0083853243629035,0.6690500168737971,0.6962676959846252,0.5970461762464907,0.8206486442676877,0.6359685012402486,0.6367232757849306,0.7874202509116798,0.6089905336238352,0.7408364710778571,0.6751752855028369,0.9144535591533138,1.32619922774688,0.8840664748946329,0.8900822080976313,0.6270986492716389,1.2020828896387306,0.6098613023073826,0.6688352467297821,0.5674891325385681,0.5641138912331827,0.5276611193961137,0.6010531355646545,1.2926115805637066,0.6376677787817701,0.5226950905538317,0.45642973895935407,0.48308431264118995,0.5896123928489488,0.5230155018656707,0.6971082147472438,0.6168248117874865,0.7870264637848436,0.6634960825066659,0.6515607244452014,0.5979196084400729,0.7017514974610144,0.654327391248523,0.653554569763666,0.6348029161726306,1.0024014841430273,0.6521437237506726,0.6547558372862701,0.5493342086465658,0.5693362225689911,0.5151509785384484,0.439655166289041,0.534445471625781,0.3601382076020897,0.36868972328622623,0.5101912135092026,0.3026332294072616,0.2669453516567872,0.25905031377320537,0.35577028479176215,0.34148239430792726,0.3609257239509603,0.40601498462565283,0.407678910402935,0.5909575932939866,0.5140665786701611,0.45831920632397427,0.3877088598360735,0.41923639719780176,0.3305826885466442,0.32653172122798113,0.3327804475651244,0.41527418934224036,0.3552392132956268,0.28046962397319686,0.3096524191609699,0.3385246145525478,0.3486745500916153,0.3517014713421385,0.45315999655750505,0.44093322824674563,0.45489733412329525,0.5925627749624083,0.4218310896300246,0.4147128816877691,0.4122372702763459,0.6811082155226582,0.6474804075211454,0.5014775066797118,0.3865980036342704,0.35702772451267945,0.3695238366161673,0.33053235617191895,0.34115869722216347,0.3339991682953134,0.34503434652973414,0.4724141802574566,0.6942030493774816,1.1827468479871106,2.017735705985463,1.496886336522895,0.8707409087709398,0.5594177313366451,0.55359890737657,0.45573429951512184,0.48182222224597376,0.33703424948293603,0.3554674776987947,0.33276907149964663,0.3483243823837164,0.45898989973576215,0.5425376059356006,0.48107901440692225,0.6800707350683969,0.6666766431999489,0.6642536315969528,0.4608209452690266,0.390771149598621,0.35242531814584843,0.3391087121352142,0.37843938803864274,0.4751332407213652,0.5111458443098774,0.7246011332939012,0.4974995807730385,0.5402760686399947,0.4504770522881325,0.3531626861047081,0.33225284359165275,0.34767744171830833,0.40118574126672474,0.4247153692467905,0.4584716030809047,0.832165591920894,1.6750716391643443,0.7752034167282612,0.7737141260082373,0.6695206049283995,0.7651074955444462,0.7954755821685356,0.5271989954328186,0.4513010482264585,0.46160025040543917,0.3710017329783786,0.3988678108477092,0.45924699593390805,0.3731880172805056,0.4262409505926053,0.36628388170532455,0.42792075254763784,0.430893880521819,0.45183078175469726,0.5681878858846994,0.5352746724241644,0.5511952431757073,0.5912268882702519,0.6698532173206975,0.6914167370428912,0.7335230482058811,0.9000772733994066,0.8837052605425001,0.8411995741606658,1.1013961231646512,0.8248506511525607,0.6927763828550986,0.7038547012819242,0.6355127662916344,1.6649001281509908,0.8014551949935643,1.627243768564587,0.7380853114636962,0.6257207447912272,0.7407207897115484,0.7702703598966718,0.6014383946779962,0.45513717245793744,0.8914451730675259,0.6171070678132813,0.8942792369131354,0.4895580082088643,0.9539262686502441,0.7001480118565959,0.6891464709327628,1.142265190247655,0.46738902838923196,0.5155898907594957,0.6088840785987559,0.7402413769324594,0.8406685928911413,1.0293885383129484,0.897690941465342,0.7285812616737616,0.7556909790186668,0.9855621155076163,0.7932073421085907,0.631189445609051,0.849402235065111,0.9133881226025065,0.675412719670371,0.7514268339013674,0.9446054089714424,1.0501423813618775,0.7964558469240607,0.8134658822851416,0.6931933707606586,0.6629107128762043,0.5949690934222461,0.5776019945815721,0.6520581703665729,0.5455170147838564,0.5333024545768288,0.5250304221867717,0.5669658224459823,0.479525654007113,0.5272081001406623,0.6889363751127547,0.6175651592700405,0.5984051681864239,0.6640675360481737,1.129142123467856,0.8664744401856428,0.8190090483713262,1.0368609122612618,1.104867596518593,1.232470476303041,0.9447314070762091,0.7693210047866307,0.7240500338451243,0.973837322439547,0.8443894697869126,0.8549876806022859,0.8085347551083807,0.6035826627913143,0.4899651208996418,0.3971290130051251,0.3654653451219761,0.392588734151209,0.396538970696024,0.7635517643620815,1.206781440890766,0.4592261045093564,0.724868199585552,1.1186809740706738,0.6172516333485821,0.7495317311080756,1.0073286381689295,2.237174178357101,3.9603266880113464,4.6175234227105895,4.850711942846058],[0.5750941899075652,0.3577427793249828,0.4534479078027457,0.37818252589978013,0.3229485372522559,0.37383722733115876,0.2729909665968884,0.4030444308584345,0.31290329345724177,0.31223231573290516,0.38089334412684744,0.5452726186172852,0.3916932233780138,0.36535987900052413,0.5802629800843949,0.5077775135170213,0.47429610373116415,0.5179587423980083,0.5370813259556143,0.5300673533303453,0.5809912125881936,0.5923987594925916,0.6551507736313908,0.8713817864527476,0.6774706250432627,0.6425686237599743,0.48271224342553315,0.45487503683897057,0.4798294106370146,0.5121718716298258,0.5602833780414198,0.5942848811209345,0.670517611663015,0.6257288682174559,0.5810479870946189,0.5298979733860065,0.5416486884235872,0.48673088439230433,0.454443761626536,0.4645257953397557,0.622669060909543,0.5379735442558425,0.529448121832275,0.5533140169179636,0.7515544273174085,1.5633310706383678,1.490080894572009,0.7265229453556178,1.727050957920499,2.1913633818505556,1.1474642800474046,1.290548729132075,0.7917026972443554,0.6179265187011248,1.075063106698683,0.6546276352504793,0.6076267545774703,0.661833848741058,0.7695407738177874,0.967061328949853,0.6507351727395552,0.7156556836205316,0.5991434146168118,0.7804494761594905,0.6175024180257636,0.6409204544433099,0.7515997089582889,0.6019075466313889,0.7007019148079456,0.671763159253171,0.9144524245291199,1.3054313773659354,0.8951297645543778,0.8474930021101207,0.6336141551141531,1.170618664217396,0.6148799874901969,0.6569432798652398,0.5764676081464107,0.5788482757465475,0.5824886075375619,0.6569005896778596,1.284822842090103,0.6891480368514463,0.5494892351126155,0.5085219422825046,0.5164379475023151,0.6366693678758356,0.5344875763264153,0.6962808096529558,0.6086578390309835,0.7485319730135762,0.6353021965580397,0.6243324842719692,0.5875443511726929,0.6596622464804311,0.6613795306921076,0.6438278179205723,0.6581930274132942,0.9843243623477891,0.7039246899536798,0.7748839643398763,0.6196365693645213,0.6673525523414848,0.5809820082004886,0.537792573948468,0.617477307253705,0.47089141686366065,0.4842792373862624,0.5578000727440411,0.424200346826903,0.3674349615048135,0.34210405468830246,0.4010532703215753,0.3781173976392661,0.38405985869826204,0.44457955966499124,0.39416958217928855,0.540133804508055,0.5343843414960221,0.4536747959354122,0.4078043918476808,0.4047672332156478,0.3411167921491029,0.3449602180035807,0.34708889513265595,0.48155137299421175,0.37853108763510174,0.3328519122600002,0.3591961635253451,0.3480742246953096,0.36576771105901934,0.37130050416836013,0.5378528234453314,0.4506732200526937,0.46726375712479695,0.6215663900768011,0.42596076786987597,0.44730192284229164,0.40462248777454424,0.648232406025839,0.574612589174038,0.4732087334393012,0.3942882473808891,0.392138384297101,0.42777967051829463,0.3816283732544523,0.4178708358629233,0.42879865719669186,0.44560078479287846,0.584314159323073,0.7556691916988962,1.2973675280561523,2.0374288200389565,1.4632916412206471,0.9249620242644279,0.6397310459321094,0.6590019279540584,0.5321229167689411,0.5931182377821304,0.4184299506932499,0.42758817525484294,0.37016381982591884,0.4032145940682285,0.5245852910646271,0.5058930889034357,0.4684397778960938,0.6380658783625321,0.661119320099892,0.6561562485907372,0.4597823504358963,0.40649304457236884,0.4249982997852513,0.4005053110798917,0.45766254543898127,0.562642371335771,0.5836843270266973,0.7948928180448938,0.5689142402098232,0.6530894755909982,0.5002121277298085,0.44251167031861954,0.4125378331135585,0.38702420717068775,0.4175512629130758,0.4786468680444184,0.47740100573113353,0.7696974633231703,1.8081533061696677,0.7216712288792096,0.6811319979802918,0.6102687840179353,0.7233168948716365,0.7759100308109823,0.4932080666725725,0.43961680274447107,0.43346221143964436,0.3697821864917301,0.3972538300190007,0.4504183420762558,0.38838062959398545,0.44500972339948214,0.3898025618766993,0.4125218097871711,0.42430096395485906,0.4344539551587421,0.5438243733063609,0.5139496364277537,0.5529283238346551,0.5778493385650338,0.6669553198167139,0.6998077582315881,0.7357876572412034,0.8930794381383864,0.8987479379421693,0.8538692619497171,1.1189702398467225,0.835848660157684,0.688404846153686,0.7194953138136992,0.6478055622586656,1.738949879123298,0.8172201435105749,1.6339728726641671,0.730050943845271,0.6615044901242412,0.7874364377183118,0.8173408573614188,0.6400517343863641,0.46376909158472396,0.8981083501254459,0.5772600269904495,0.9037818297864344,0.4867202264285715,0.9407043773422561,0.717425659945141,0.7120146345260312,1.1415563467116057,0.48637549770138744,0.5356551988554231,0.6223945959582994,0.739163973792437,0.8385951894811196,1.0436682968805315,0.908262638958344,0.7275803641605001,0.7647602335769237,1.0045495845047998,0.8166083572088685,0.6473292109818616,0.8785546425481254,0.9453325946832996,0.6848666873504793,0.7664686841584536,0.955936474938169,1.032891925340032,0.8089292671893826,0.8331964715019007,0.708402160340825,0.6857455797574269,0.5982106038524586,0.5787998202548189,0.6684478208055683,0.5433655573516007,0.5018336417538147,0.5293969274257085,0.5733075759687386,0.465071674329539,0.5107697188804591,0.7010620531654435,0.6096322792579538,0.5815161945931959,0.640233262610628,1.1190388848963213,0.8357432823191299,0.8073417856247922,0.9932152421773497,1.065145483779197,1.2434331670150958,0.9406152207626193,0.7551416941101696,0.718503439333861,0.9638190128343415,0.8305108168397174,0.8349304689742184,0.7888715265112475,0.5912533559278653,0.4526227745316045,0.3913777774041283,0.366501496887071,0.40949426362151103,0.40737962214960366,0.7300782664690594,1.2229862492052632,0.41584877295849704,0.690604575673575,1.0393594042439596,0.5784120765463729,0.7035186417027888,0.9726985444699983,2.146718344437083,3.929060930450939,4.590649623955733,4.733187839992299],[0.5889942097084617,0.3511718253193092,0.4517724961358783,0.3517032620143387,0.32726360857811293,0.3660374894390942,0.26419309885468206,0.42485286857501997,0.2994494289524574,0.3264411859463803,0.43866484513268883,0.6325194162321817,0.4666905508474339,0.4093786958384796,0.6618731420310284,0.6034052118216372,0.5241251158472724,0.5649632193227482,0.5914884554550287,0.5715698997040128,0.6146502299623563,0.6447609029196154,0.7039670751036692,0.8968509275893559,0.6784901088480395,0.6527813881061899,0.5177846603087195,0.486298227662287,0.5337601525548651,0.5998231471052579,0.6680066808631755,0.7384633358036334,0.8508292612129879,0.8042248281001584,0.7447071601069983,0.6438438081998363,0.6702021008015624,0.560363456121076,0.5202730500838276,0.5414549471100548,0.6016746254410833,0.6037906308325378,0.6029698520846483,0.5924924754623322,0.7400195372111614,1.5584066438284712,1.4497736696558488,0.7512270308203783,1.7635776263534606,2.192171892481735,1.1643567946016846,1.3190850536245644,0.8267471448991506,0.6346414591967705,1.202378938454387,0.7768104554507725,0.7090256878475896,0.7572570485275762,0.8573958202700147,0.970488155065081,0.7151814144850669,0.8132502352774791,0.7288007310252005,0.907886841102399,0.6997075996586595,0.7185586296727078,0.8323109591236615,0.6757908075980035,0.769632164571333,0.7242609487356207,0.9583706749436638,1.3844537003048896,0.9532544110858848,0.8978912099309895,0.6941812637092244,1.232562387939766,0.7134550517852679,0.7905913328984631,0.7102906460538968,0.6949779944306176,0.7240548970076572,0.7764509253428366,1.39527894168355,0.8455390797137876,0.6168434354303172,0.6263118614484663,0.6094401838685304,0.784169600817324,0.6572522190564294,0.8351358556690224,0.7391174866785377,0.8687985341296275,0.7667085969126415,0.7897387304550085,0.719667065292007,0.7902142248833092,0.7811643779754789,0.805125081004091,0.8221274524372141,1.2077166835903728,0.8934888931317124,0.9593910549108352,0.7980772844263571,0.8130998410086117,0.7233025069966579,0.6644878980100968,0.7451764158463798,0.5514093076067974,0.5304634693653074,0.6394446086331999,0.4785955978197301,0.4354921585666167,0.37219676253582046,0.414085062239137,0.39101460514918795,0.36877873681045137,0.43628332613047255,0.39500572759249947,0.5580601205768008,0.5327612231463001,0.4635646829205218,0.4110814880274223,0.3971070706182111,0.30032324803977484,0.3052392902723459,0.3102866892471769,0.5132323606036471,0.3971680791028036,0.37077234508102147,0.4270492553051925,0.3655265064938548,0.43321836164144434,0.3937195557619102,0.6129007553166437,0.42751292608252117,0.42024707446546816,0.5911525341497492,0.40557470062227696,0.44558349077210746,0.4157946109424526,0.6592776865514595,0.5858175979999067,0.473591998401344,0.40825758336300216,0.4245318635718679,0.4755500323771785,0.4192478651028385,0.4822348020429834,0.49376194763566533,0.491186057487652,0.681638017561439,0.8378528632303478,1.5131301769831869,2.2559624757619865,1.577587088034588,1.133630097943813,0.7813858831280872,0.7993638432990892,0.6711174971502571,0.7127684237785616,0.47906320060468993,0.5095531620913085,0.3948519129607052,0.46157887370539785,0.5415754918620683,0.5051039545592957,0.4270324820565596,0.5859559872113828,0.6210966733612892,0.6180930921248421,0.4188665403248026,0.39516473890796505,0.4253331793194884,0.4745874143787117,0.5653624015990577,0.6886936843865499,0.7070851340548258,0.8914947142083912,0.6943126094919304,0.767074684936049,0.586508331679114,0.5550922107515481,0.5040644701405727,0.46241784102209266,0.4556387466636041,0.5238995195170858,0.5108904844949232,0.7455832120836241,1.8071620974246143,0.6531031838628344,0.6033460539271475,0.5560052528491828,0.6505650760515512,0.7129670106877963,0.47513829347721526,0.44966759298862363,0.4306175678706465,0.39279794311300664,0.4067696906055833,0.47102880039819034,0.4330142203004327,0.5413839151793239,0.4360996610356613,0.4078490291781815,0.43476205947157476,0.4306426506767757,0.5439804426332516,0.5092705400532523,0.5539136576238649,0.5657901591919224,0.6831782586431459,0.7145995054261118,0.7306488952210521,0.9520440907349766,0.9704928611079426,0.912361161115486,1.1694951258624646,0.9095044819976791,0.7204861638378117,0.7478153560649435,0.6825892251336202,1.8325264559406667,0.8740626763484977,1.6344405392724581,0.7391954289075728,0.7114778592848549,0.8481782856744932,0.8599929224917707,0.6624275109608979,0.5256901074280316,1.000587523795986,0.6334474088199152,0.9332317798867042,0.5486829279788051,0.9693028861070765,0.6980062937298068,0.6748268035409266,1.1200992376409946,0.4998885915211433,0.5906543104242087,0.6981059277474173,0.8244113684670192,0.9391992649323917,1.2060927214068642,1.0663193271550824,0.8426297840391751,0.8728536673333425,1.1294373922193113,0.9462807009259856,0.695786273360971,0.9509677471329513,1.0001902799167728,0.6951546090651086,0.7984653870063276,0.9887660903918336,0.963866876703281,0.8114403000045648,0.8651770698237083,0.7338227156941979,0.7147361365574967,0.6541841391744931,0.6317376496022802,0.6907645622208792,0.5476072140323331,0.5480578204794636,0.5444774008384954,0.5793710223020253,0.4634583749981401,0.5160245424019346,0.7012115498967492,0.6119872421417912,0.5654620264865755,0.6441564878809762,1.1048976535711679,0.8284504553635681,0.8280565529402407,1.005309476809566,1.1298832450226812,1.364625288132815,1.0198248317626806,0.7998709821023773,0.7562728785056321,1.0135634485704665,0.8797590541660811,0.8828957131745916,0.7900750077443053,0.5748920862697429,0.450735677292747,0.3936299123466321,0.35875274255595846,0.4412828881796645,0.4077783900417203,0.6725026437052654,1.2435878855171687,0.3672295320494467,0.6129089366192123,0.8972028938505703,0.601514213653557,0.6257691406410297,0.9102477614807186,2.017434267605558,3.9348778965688576,4.986195845282347,5.098991310746518],[0.7558747563863294,0.49519420261456737,0.571984575316807,0.48001314436122106,0.512750566706259,0.4601674672042716,0.405638569664127,0.5763202358628985,0.4160610861810508,0.4029244167453961,0.5098593654623432,0.7173457800872398,0.5629009003229055,0.4482398340561799,0.7588499634496174,0.7077389904783458,0.588841964345485,0.6316129283312386,0.6277914829687565,0.6456223418915481,0.6546020819722487,0.713336983199775,0.7413480709846879,0.8953153285043562,0.7136114236519323,0.6624914806470993,0.5816354943568045,0.5581765489091832,0.6337750562089886,0.7189448477054321,0.7747570643569703,0.8827082210209716,0.9861228879449333,0.9608219320583647,0.8943870955788081,0.7699378714240223,0.8176993267640846,0.69359312978821,0.6540756534564108,0.7008102755110539,0.6734612980081782,0.7089269891754603,0.707323999422138,0.6877956787808028,0.7588568083876575,1.5211779565258736,1.403164370040572,0.8427448387362273,1.7760435765864468,2.23746857912705,1.1849861250417846,1.4566629322719025,0.9633639999709712,0.7687014385983714,1.3548253971217676,0.9559423470206109,0.8344995875773394,0.892362311655449,1.0029275141074911,1.000179253079549,0.8118457792107608,0.9396451594476436,0.8532706183811603,1.006519901852844,0.7821492984561992,0.8188617211043968,0.8904063989495822,0.7512046912144471,0.796206451496418,0.7707882266800612,0.991938895346794,1.4275473206714444,1.0230780107744626,0.9392377747240401,0.7830220846659844,1.3119419854733818,0.8270113006982581,0.9306962556240533,0.8582269374820574,0.8410816011232296,0.9053409021863893,0.9375028916673473,1.512185306299587,1.0563232726209053,0.76013799508118,0.7829881470702976,0.750845725990583,0.9342058995019854,0.7960515562414793,0.9735090407866049,0.8643002797348849,0.9899719239410643,0.8902575455781603,0.9249333601444236,0.8350095336627619,0.8897013466156704,0.8714774666190347,0.9162638629751527,0.9457433278373186,1.337166722634871,1.0630534790496846,1.1708592706877827,0.9892562182482297,1.0212319487636499,0.9643827373767307,0.8748184925404098,0.983865313293054,0.7845790262137207,0.7337052872620853,0.8275972674669347,0.6759557741510802,0.6159359794373561,0.5129425444861988,0.509745049522758,0.47691740889499606,0.4291915255404145,0.49357955126562714,0.40993497665975953,0.5388695752902212,0.5552000788560624,0.4698649286309553,0.4304959964905878,0.3959272869548464,0.3465006697058664,0.37678522566634376,0.39262362423936525,0.6488939413396001,0.5485753716329447,0.5576887797855942,0.6267851766532301,0.5541536206654227,0.652436455453244,0.5736731681363245,0.7903915299678775,0.5422989073331571,0.5204742891141911,0.6619760919274693,0.46015169521815547,0.5223418683042327,0.48746016910765383,0.6539721714937592,0.5735048025927785,0.4997812644014599,0.4700313805820644,0.5249953692760442,0.5867794365928897,0.5228767119371535,0.603914738990649,0.6263214807034334,0.6217647438496082,0.8369519965103766,0.9281792268520317,1.6914921228291675,2.2519352469193383,1.565343087021677,1.2930825796151075,0.924982751402681,0.9767741375949313,0.8212541898055403,0.8988209977895083,0.6052649316586484,0.657079670255004,0.5057254112890125,0.5910841676975302,0.6419788929941226,0.5744228184118831,0.5002982126207319,0.6193610410892952,0.6693550857767855,0.669958224004787,0.5037969924334023,0.4891206453625641,0.5392336685275647,0.6287425921121671,0.7293461137433002,0.8780510097189909,0.8683976335376573,1.0668297781651066,0.8750226430663667,0.9711587047723025,0.7665513225711313,0.7565049448564527,0.7112941237009713,0.6674069888020349,0.6082786031579386,0.6904167327958416,0.6428816524443167,0.783652165798964,1.926700002589428,0.6561729107982508,0.6276979216968052,0.6145054088177396,0.7221917754768651,0.7935459023760066,0.6055590112299232,0.6107918044010213,0.585152371327589,0.594670903486763,0.5928772191246393,0.6815000681277376,0.6461751617438135,0.7689214795315785,0.650054608986594,0.5850253839252009,0.6046014783857231,0.5868701720806035,0.6753062759608961,0.6436336777268071,0.6684524003511003,0.7015832091444629,0.8451419516817279,0.8599936407841821,0.8613011429524415,1.1773620355519292,1.1763630074046723,1.1061647519423492,1.29946258986219,1.1114775888166504,0.8881134945317359,0.8996208723869097,0.8402401602866177,1.952962443752062,1.0507641145986786,1.7648593501790246,0.8494636373325319,0.8881499750689579,1.0250190408520923,1.0257204256181993,0.8371452602848374,0.7431809090534397,1.1299562627087016,0.8273852741997186,1.127670180077122,0.7601824408982675,1.0398986487666695,0.8075067850477793,0.771238854714944,1.1385311378693435,0.6667409833236031,0.8093643536742343,0.9222943878817751,1.0216118938246237,1.1523000600393862,1.4438172175913302,1.3243149162423977,1.0685415572836583,1.0776216695498682,1.3436695373548633,1.1859506649227254,0.8651696108580994,1.1091932473371486,1.1453098076978132,0.8127267883251319,0.9044477905279913,1.076591854790736,0.9750625098375512,0.8838257239184315,0.9660036488963499,0.8605933924528149,0.838739705540098,0.7997564619370899,0.790010151672388,0.8201863512587105,0.6886529057464615,0.7284728676293751,0.6965179891400853,0.7277986940512108,0.6277347576936602,0.6683611218071905,0.8542925884876823,0.7613309487523636,0.6850456597652133,0.7656117191364604,1.156543323689099,0.926122307757106,0.9627378979521836,1.1131514058864262,1.2444923554261036,1.5120660686599887,1.1951432477364425,0.9775208616051885,0.9464399837601175,1.1788850558241322,1.0415863686938254,1.0247066979013448,0.8842213586958103,0.7083504238114938,0.6126561127822173,0.5680368982079508,0.5488923014169586,0.630984295058182,0.564067568934095,0.6864846722436863,1.2688209275906692,0.5429947528947373,0.6567463153568979,0.8136030175024063,0.8323549756128287,0.6352257635297992,0.9546056760854115,1.8809900499658487,3.7974678170740934,5.207270536378804,5.34095632883192],[0.664849800099546,0.3812268001913362,0.463515311886222,0.39549617439581347,0.4208717611366554,0.3523078948541732,0.308993988406285,0.527812731983817,0.3794909647220219,0.37414177241936303,0.4811144824913294,0.692081235993747,0.5118490088567307,0.4327472562676777,0.7022707537230182,0.648434462572089,0.5407827690737947,0.591205565263004,0.602542745398177,0.5951108150482036,0.6387005229380401,0.6555687331769903,0.7255992926792307,0.9087390121132318,0.6982323082759646,0.6666823611007175,0.5296962252181079,0.4939737832353927,0.5556208145054855,0.6389126239988742,0.7109344591111612,0.8108391005797918,0.9108438193795241,0.8783873406159759,0.805133580115589,0.6853107635449811,0.7289614316514319,0.5934776518732724,0.5387511767048714,0.568779026922535,0.6115902200959258,0.6190701375383149,0.6228452479621128,0.598357313206661,0.7695269568256229,1.5875624353297328,1.5158453586467988,0.7546071638369195,1.757347230577092,2.2426004476122023,1.1730940843907145,1.3705386337395906,0.8495382171133137,0.6721548804969041,1.2390539765596864,0.8145172557841522,0.7228476523914572,0.7939342035909022,0.9066354048443037,0.9767027971584177,0.7379060003484333,0.8452953972286504,0.7675135001460898,0.9435042599170655,0.7276044871638928,0.7510716839682864,0.8693958203114611,0.7103908748635854,0.7923628470189417,0.7493451131516324,0.9702443279939027,1.3999321398271314,0.9890055549971454,0.9574643894278577,0.7458565260590008,1.290502929931045,0.7607356303350514,0.8528470354777807,0.7729595503457077,0.742817592775675,0.8020103209734804,0.8250696727668757,1.4034352009203117,0.8984646306698238,0.6469586354312034,0.6663637678630656,0.656930846578577,0.8305294690723979,0.7036706976072974,0.9044904376514185,0.7957610613157705,0.9363288387406479,0.8367319691250787,0.8636169045687543,0.7775268038002451,0.8479220533715637,0.8178627452101345,0.8636737975898285,0.8889149451686347,1.2839098922359016,0.9832030338058463,1.0913568430398704,0.9061085430401877,0.9269951842501268,0.8304457305976103,0.7656688748033945,0.888619537329454,0.6748363175449388,0.6527866517056752,0.7493113488549351,0.5986233565079201,0.5219106408717122,0.4313285054702391,0.4335842357885926,0.40377588054347524,0.36878753352666793,0.4354534847002354,0.4004489797059246,0.5596450389612827,0.5554321262153628,0.47957069578246436,0.4240681821496552,0.4007872135881143,0.3321868769904871,0.3561444191104179,0.33545955429176705,0.5341333943475619,0.44732455914105346,0.43197726959501465,0.5099219597282673,0.4328997136549426,0.5010201001499613,0.4466534746678863,0.6797301814255771,0.457772833175412,0.46017571389273687,0.6296267524678046,0.4300808503816474,0.45013673139596755,0.4303272999543194,0.6788520226545904,0.5958077397264702,0.45022845457750565,0.4029828588151366,0.41944885895895023,0.47684559476205546,0.4231537601238121,0.5047565661475562,0.5384420782988675,0.5563982432660635,0.7845161635667545,0.9174743311316644,1.6820358701961056,2.285720250479192,1.5631199245428353,1.2431852599714324,0.8645761041324378,0.9068056263924473,0.7395097060979738,0.7957164034314719,0.49675095788742823,0.5384304575741192,0.40374704630244035,0.47557065008785154,0.5251762471331531,0.5228872127272299,0.43415622797601733,0.6278575775031165,0.6775377749408804,0.6669611016193168,0.44480603716982975,0.42463814780064946,0.4452781260975495,0.5111944754845661,0.6070945344744063,0.7641637204994755,0.7659405594320817,0.9638853323067214,0.7600549614674962,0.847933856029354,0.6516293430750634,0.6245244041438479,0.5722948876500776,0.5288085471879587,0.4945154584933553,0.5546523247936085,0.5278013906524731,0.7324863102262327,1.893730453160185,0.6663651096527514,0.60652891433679,0.5531906443163712,0.6632368401211742,0.7427688160270282,0.5060266751197805,0.491872182864794,0.4752305882553101,0.45429692290803586,0.46476096487583124,0.5550262898085082,0.5430702127335866,0.6971185467299952,0.5581894767116342,0.4795903412545748,0.5375547111485771,0.5177626571855845,0.5597757443460634,0.5368492559543872,0.6137848373067901,0.5495850003809082,0.6866078550999195,0.7040380248951926,0.6747108878852547,0.9540242412304026,1.0064856695339277,0.9628337744000404,1.178009303935572,1.0028450428894744,0.7827455933435505,0.7866063953506649,0.7395381598535208,1.8622610028355056,0.9858576925445295,1.6290409313092369,0.793020346070892,0.8363349335539925,0.9827160842737153,0.9558038221557456,0.7855880633326443,0.6522836930736938,1.1099150771826156,0.7139840639529025,1.020717436118832,0.6607146935853035,0.9556639303688633,0.7805522034264555,0.6984248334172235,1.105655768347124,0.5719794229674875,0.6970780281886768,0.7945776897932776,0.9256309585858282,1.0791552904802995,1.4004185938984772,1.279845992060336,0.998304430025896,1.0473244312262917,1.344159685019294,1.1567312658352964,0.8637369433175113,1.1401587763281082,1.2022865956396454,0.8293962879491932,0.9138199276979577,1.0838358180437049,0.9365411317226738,0.8338882403496156,0.9298506175185507,0.8052930449581367,0.817674505400982,0.7947073394176002,0.7659633843604096,0.7832767473637462,0.6219506881920116,0.6467120102683969,0.6337775789249461,0.6533883671124158,0.524454371890091,0.5684449068367157,0.7842637514378075,0.685016219384054,0.6254223396717937,0.72155752295985,1.1670630801059838,0.8818334571172831,0.9063595222853407,1.084839705500494,1.2363923440588056,1.5586043903253712,1.1359220715064007,0.8610521966532538,0.7967255660022118,1.0895153290474449,0.9704855323744529,0.9946207046386165,0.8276665453365742,0.630695951200615,0.5156932414476951,0.4635386385625892,0.43257425990803927,0.5409827340948755,0.5134851979528853,0.6350156006499122,1.3420857988619326,0.47751251124740157,0.5553325904560354,0.6725691685508957,0.8397551135074408,0.5327822544992302,0.760291701276563,1.4148664900508074,3.4024304430923693,4.784925939822961,4.52957572332752],[0.739373892074492,0.5162481160970751,0.5915920848883347,0.4598677199821533,0.4930152584907575,0.3965355533303287,0.33842541930616427,0.5556448654083928,0.37733389057288585,0.3788755355730074,0.5012938658090889,0.7338246462454762,0.5571431525088374,0.4458385258105116,0.7535718118314833,0.7133273787389925,0.5708493025347933,0.6363196026092574,0.6357161239099034,0.6497103330597549,0.6692989755854448,0.7096464561166209,0.7612624973635795,0.9132257968103843,0.7121095023664613,0.6700820127686106,0.5576948508080439,0.5311197736890323,0.6167716378864719,0.7186495627692303,0.7887264759203594,0.9095280061909384,1.028452202282608,1.0078445588662104,0.9250683535811457,0.7800572315829871,0.8293999424503122,0.6791316315241012,0.6203413956986465,0.6737727143835001,0.6541039211097037,0.6918314057528878,0.6919860062372692,0.6611139550868087,0.776844969663407,1.5789343570262502,1.4802250417022906,0.8155337953212023,1.7804395766904095,2.263000781533598,1.1913612526090551,1.4522142183202367,0.9335667429414348,0.7412972776658341,1.3386440960108372,0.929378819312887,0.814957724945916,0.897180977340392,1.0084855296146367,0.9964960263331374,0.8019264825744818,0.9493305586646854,0.8728803539651335,1.040914069047897,0.7966998682387333,0.8245477103915062,0.9174633115307849,0.7658086425989293,0.8219392382172156,0.7827421643781398,1.0127420657429531,1.4479604181786947,1.0210168485394742,0.9631736523565831,0.7975661287952718,1.3404140503650992,0.8476375802519205,0.9680068921071792,0.8870058407789765,0.8547857684333946,0.9348358132452614,0.9474371620077446,1.5010935969639183,1.0450646504423224,0.7463533452678676,0.7801660101314365,0.7600721220175958,0.9639002142157139,0.8067372884867156,1.017961283636304,0.8956012414797407,1.0242968857522712,0.9252205559504456,0.9687799202387332,0.8562450423304958,0.9214265306550065,0.8836536422527159,0.9438469545337905,0.9715832897296509,1.3804996570006778,1.1101266625670612,1.2351191565132662,1.0398592732611398,1.0494049158098557,0.9613992712653203,0.8703515601596542,1.008884450784354,0.8123750719162717,0.772469220879543,0.8544084291656948,0.6992779205299267,0.6119513748632147,0.4751958759610334,0.46337866377057774,0.42789457739172476,0.3680607439459494,0.45579398680631955,0.3882010110718554,0.547673969216238,0.5595185023152721,0.47553819455025753,0.4180070286628796,0.3805886576090448,0.31720653461110615,0.3417219184770455,0.3454790056773624,0.5501786866032785,0.4915406071767889,0.5126079385749173,0.6029948038471069,0.5183274113349801,0.6245420595711426,0.5353490769707494,0.7688450603979359,0.5199726686746576,0.49800663886721513,0.6590119576205059,0.4526545853450628,0.47913275337829114,0.44146386705002555,0.6686453410923124,0.5745243053456398,0.45682343584453233,0.4198944283197195,0.46872892830398283,0.5362979794428583,0.47151073207836747,0.5621164811156556,0.6102544809147411,0.6081479255411638,0.8635719577811355,0.9432554423168141,1.7872118530608865,2.254911697933138,1.5475321839346292,1.3403152381192593,0.9462296597467927,1.000933982295914,0.8317374165166406,0.9117782581499614,0.5813385543310103,0.629442243090168,0.45262150879945273,0.5570220976270299,0.6053971287497932,0.5461408244155738,0.46271295572282534,0.615967907515278,0.6787335926981898,0.6712889233011977,0.4773070378377827,0.46404071925129425,0.519900586827628,0.5988117850568492,0.7202973084429658,0.8902644627008729,0.8812338710131273,1.1044217400589271,0.8833322727417869,0.9845326180901312,0.7484616847623601,0.7349170603660887,0.6922864034524785,0.648780258084691,0.5716744314294743,0.6620291925514343,0.6171281639859879,0.7520166693492177,1.9567334381607229,0.6687378803406397,0.5824605005492453,0.5618876223510998,0.6643323663755685,0.7606714583083903,0.5810360104156763,0.573607400233839,0.5470618085064836,0.5636900884440338,0.5664462793493451,0.6613678222053704,0.6590531506615562,0.814542558431072,0.6623705877037566,0.571276716160556,0.6321826915314863,0.6064701310786572,0.6230233270111487,0.6255038097162005,0.6968996147915609,0.630799812318412,0.7869684593564097,0.8103556186772096,0.764952976316288,1.0696827457944411,1.1440723296678679,1.092013839657027,1.2787528967321977,1.1176596622717339,0.8939669715277428,0.8931953859435612,0.8380263719017529,1.9720776194060263,1.0914345557167693,1.6751847616454227,0.8868563346033068,0.9745369354423531,1.1065615414228642,1.0737584939117408,0.9083852054363704,0.7804802248383322,1.2335371687489234,0.8111971204929159,1.067159831957048,0.7749877909876086,1.0558809466373191,0.8406328035709244,0.765101071983391,1.1314108995875836,0.6866472112096523,0.8330007347847236,0.909311856304883,1.0344083213850181,1.211364296936283,1.5545086399795207,1.454228520347354,1.1392189957166967,1.1850543039489296,1.5144275601687258,1.292546777303954,0.9655648018167852,1.2400458540036647,1.283889586443559,0.909712285633208,1.0007036244866174,1.1549485003231963,0.9725659114310437,0.9138634452399831,1.022645887736076,0.9056361158353157,0.9234473106934489,0.9092359374899849,0.889205088459959,0.8933846035948824,0.7216812106475847,0.7498255625733957,0.7490770809322408,0.7602291452725021,0.6252991774605678,0.6879833726308028,0.8765194060831604,0.7657818195984751,0.6897248781419201,0.8213070009228763,1.1883511696682507,0.9295161350268806,0.9756480473487896,1.162472908734905,1.3356913794833705,1.6753167484375073,1.2365992473172243,0.9482541277443869,0.8957373399270879,1.1794248316050249,1.0469268700230105,1.0608328263632916,0.8645581576612442,0.6758492630107021,0.5698163291087862,0.5357984728357132,0.49203151456725935,0.5995136798631316,0.6333089921657238,0.7228445767936662,1.4160375698652368,0.6053154244018807,0.6572586780691152,0.7026137843368043,0.9715655491656223,0.5987951776800482,0.8837326849994824,1.3007648563196939,3.0879286484523325,4.6962595430759295,4.580254322755243],[0.7631343668435725,0.5370754925801423,0.5956311708561336,0.4659594812111291,0.5206020954324225,0.40786449173120815,0.3528956646743492,0.5568169088036816,0.38822222756760355,0.38448015036513805,0.50183123324021,0.7190704604499033,0.5327364749794674,0.43386218805425475,0.7137654681070085,0.677710696854523,0.5343178942292661,0.6086676009027412,0.6103521866012394,0.6045523313796767,0.6472138977235513,0.6711309556560189,0.7321695273596823,0.9229943344134246,0.6820361183666833,0.6625527346409006,0.5234035240885013,0.5035339278795573,0.5767666202832078,0.6766893056573574,0.7663942524421541,0.8759894261626425,1.0114061026854135,0.9854154159370094,0.8936520173977919,0.7375689276317774,0.7900418711919158,0.6248619106489847,0.555347169140195,0.6042319394564919,0.6012422138339921,0.6275017444487212,0.6281392552407757,0.5991605315283648,0.7513007753399658,1.5649563487049278,1.5028636241103002,0.7643052727750788,1.7269983686040253,2.2453814981952718,1.1628756676036518,1.409553800522123,0.882455184599453,0.6814428401640468,1.2888129849570336,0.8518667085566519,0.7441218938705937,0.8403944846488656,0.9587727834707797,0.9824349468065136,0.7667317032227855,0.9071355728005173,0.8349786973452735,0.9937244894118592,0.7578225144061547,0.7867598703998331,0.8863578562215492,0.7324676008391603,0.8183634920240341,0.7613932093831492,0.9878162356220309,1.4391817131293299,1.0028701262731372,0.9790250031855996,0.7837519015285298,1.3552228184435249,0.813826897184338,0.9455858969172576,0.8529996696496606,0.8178520094913037,0.8928546571076835,0.893980659197872,1.4631300998715568,0.9827864829598325,0.689282638724211,0.7254436667713571,0.7035842450490939,0.9333964304441846,0.7593063613721364,0.9883827310837213,0.8643672333951692,1.0234803368721828,0.9161275254096559,0.9586430536636243,0.8402870859703144,0.9154627118840716,0.8752924307803972,0.9281319061409363,0.9499963851186387,1.373732961894253,1.0938566001856165,1.2339426955933672,1.0210876324808977,1.0367543562616643,0.9305941449404987,0.8405798084951994,0.9808737463484145,0.7870686226981776,0.7596494364673902,0.8225039073432149,0.6854682429062902,0.5805208916370032,0.46286786407371594,0.4406530186261209,0.41425475310109244,0.38271825190195957,0.45809440989016764,0.4214383773179745,0.5773256423575491,0.5674285866094285,0.4957308673980847,0.4349490684951895,0.4369082254107383,0.3455529134415432,0.3660610844950891,0.3611640756203488,0.5138116749520346,0.4657869838108354,0.47265791131604534,0.5601836062896394,0.48775932689579726,0.5739288657029668,0.4941645812347682,0.7250868694140441,0.5000069495997314,0.5036802337225645,0.6727521881798426,0.4683657004773761,0.4837991860254099,0.4391683672986497,0.6932844119435668,0.6091525982357988,0.460419144137506,0.4139428155012025,0.42770622722510027,0.4840635797189961,0.42723500265485703,0.5116378630897337,0.5753702908988959,0.5947916716491445,0.8542699437455853,0.9456103266664468,1.8024451662091914,2.230646235946917,1.545714009571734,1.3378220302054367,0.9335440856058278,0.9845605744468834,0.7993117843375994,0.8840732238443962,0.5450493969990273,0.5782880403583425,0.4212456619300174,0.5031566222748899,0.5432332678303973,0.5715626104660495,0.46698892645952395,0.6713909256462222,0.7163945699974409,0.7065873744485419,0.4854497248461101,0.4596153894868165,0.4921902280215232,0.553348907910763,0.6727369067720377,0.8442237611485232,0.8412257036480827,1.072508630827603,0.8324063363905417,0.9361690705128557,0.7070421021303175,0.6926849264943212,0.6446554461508431,0.5946614204647914,0.5205800492514322,0.5981292475958375,0.5561490007170642,0.7362746496146537,1.9583252676950926,0.6752971220864947,0.6054730037436266,0.5395514629466598,0.6652271832620652,0.7629880912662163,0.564591528482072,0.5522187261536918,0.5317182490137787,0.5348962229250586,0.5522396853399842,0.641080112819912,0.6542970829714473,0.8202377974182187,0.6618449371318148,0.5759195540935547,0.6519286062806648,0.6277214887385748,0.6309905928750807,0.635166788692929,0.7193773513037359,0.6163278976499974,0.7706096153615508,0.7821193100989785,0.7275897438061821,1.0029118932781127,1.103539192394606,1.0965898852767155,1.244933124655785,1.166784380000106,0.9059040296637205,0.902652737977281,0.8612060698355888,1.9133798635410735,1.169563832496181,1.6694779596529423,0.9117019209151344,1.0001286947168306,1.1309483579907442,1.0810043750171934,0.9233832072592146,0.789704382723847,1.218193190768251,0.8083745687529783,1.1158904787774957,0.7829376597859226,0.9945813201578401,0.9316139560758864,0.797709813019151,1.106903326992561,0.6878667192424953,0.8081183259296723,0.8823357885941977,1.0233059298269733,1.2136416259358185,1.604575700161066,1.4801825937619135,1.1474203638635736,1.235986375476719,1.574712932691768,1.33917006318064,1.016810965636809,1.3311018547721927,1.3929432204191996,0.984744406619445,1.067835854164612,1.2270735832121693,1.0475129899608795,0.9343307475587339,1.0698040124456543,0.938779803484546,0.9726024380574049,0.9496229746457563,0.9247525863722166,0.9236099468092569,0.7355561773028928,0.7612211678343977,0.7737441932064353,0.7867987187149205,0.6526278980909879,0.7242192216254081,0.9498692044141004,0.8378800731077363,0.75517550221883,0.9054069741459919,1.3018895871595904,0.9995637796383438,1.0435514901978353,1.251373994941393,1.4629349162938625,1.775811986320475,1.3262277837312413,0.9877935298782092,0.905548735982138,1.2484937621674344,1.1141184748423736,1.1572000702169063,0.9355668720540479,0.7242479650172012,0.5729928488669177,0.5254252463893436,0.4843070660702395,0.6059954074064832,0.6561907698615046,0.7251862151562959,1.4318989815304806,0.6240531994066277,0.6403732440928133,0.6696318591359683,1.0155336110767081,0.5793583258051951,0.8086712056703307,1.0723341054596212,2.6353805153531167,4.244758688965877,3.9174342357882685],[0.9391757659278175,0.7641110327524424,0.7711680755644075,0.6570224465911159,0.6605123540769697,0.5846599947666402,0.5155038978041909,0.6885228417110076,0.5268751268081828,0.5160761040417752,0.611760169485066,0.8503068816556669,0.6931996339998914,0.5549419128307332,0.8707056400771247,0.8447270732470712,0.6959277224343712,0.7522383710643188,0.7382204623710418,0.7688127904971778,0.7738866499115155,0.8125102161956363,0.8362312436694516,0.970695516286936,0.8065800360985667,0.7518503027564187,0.6680538065422138,0.6503644071615746,0.745660339263727,0.8603657043289524,0.9211747834306823,1.0768132702317537,1.1989358764580322,1.1930866680702994,1.0868966553759416,0.9250472543009267,1.0065479747071013,0.823025817681246,0.768232119362393,0.8419012454318736,0.7770181241039291,0.823031118572643,0.8350390580140082,0.7921549714387601,0.8665517397274161,1.5978038685902631,1.5084816399380652,0.9051690473831127,1.8302216570912633,2.3342610171513947,1.2725429396902848,1.5760161764038758,1.0566194034642227,0.8750980621932637,1.480203145979744,1.1122662501896161,0.9710255596694435,1.0664996880009963,1.1727779875221587,1.1121712307208649,0.9553805640889995,1.111583830048781,1.0514185112483576,1.1331439025925027,0.9115219904579632,0.9539449879240601,1.0137064340954585,0.8816300678053479,0.9011991197097821,0.8909944975633028,1.0760606557269092,1.4847887105462179,1.0957072418945475,1.044548949236017,0.923132085841463,1.4324175680517284,1.007517908054524,1.1378477635933084,1.0715846675198124,1.0170621311153702,1.116549018940174,1.1347530018803105,1.6180021918778196,1.217073747759807,0.9133647600610536,0.9505923566460704,0.912854902724552,1.1464698341892121,0.9593563673175576,1.220701782997562,1.0595022669021212,1.150954166366712,1.073391732831156,1.1304243948078647,0.9996994613862833,1.0624625100974574,1.0083090984415832,1.0920031419205962,1.1255979536579717,1.5042625813912804,1.277403248799665,1.4334794284424979,1.2426881538854941,1.2377034490376924,1.1663166585540743,1.0556108637202284,1.2147422762831197,1.0138077025469587,0.9560665076956141,1.0474129172049935,0.8834434527727688,0.7863118246753205,0.6355425543926471,0.5874598469448816,0.5459781173391637,0.4519556120298484,0.5691718734751371,0.4635215350359563,0.58409625921243,0.6273997677086142,0.5471016054036457,0.5054743781989172,0.4571798703474677,0.430726413406191,0.46121052655295214,0.48894946623956775,0.7001438823960496,0.646257532141346,0.7038289235986303,0.7964052516546135,0.7257230650447267,0.8282581752348679,0.7350715976056067,0.9474112455106092,0.6718312041206308,0.6378541796978698,0.7590091122152552,0.5816721449518272,0.5672321462739547,0.5341406012498646,0.6891438306762252,0.6155596010817123,0.518063148056497,0.512823179855758,0.585818296750052,0.6586357681158823,0.5917543771362861,0.6997837763551196,0.7668700041643464,0.7516262739367581,1.0126874225493931,1.053063325504125,1.909006609885593,2.1783235940962418,1.5799800539894762,1.46612030466651,1.080479618097327,1.1671673724834224,0.9969688426151903,1.0720140873328878,0.7357317021808404,0.7892181270685124,0.5760378338142756,0.7020131271005803,0.7314634593726841,0.6112907398769959,0.5646401313483139,0.6710720479679316,0.7506277848872435,0.7245607797642686,0.5886181050110887,0.5839994907530959,0.677304876051922,0.7646806675522245,0.8865396589036644,1.0722618406386115,1.0514533855375787,1.3035510403660373,1.0643351679894504,1.1792748184151784,0.9175310427659725,0.9240138952716228,0.8926343681361593,0.8533050439298991,0.7375542677288197,0.8241864754913955,0.7686165840023783,0.8224641803070757,2.0230359461072944,0.7578615999603019,0.6580591671507489,0.6812435271511712,0.7713057362153645,0.862594372620247,0.7590154270810656,0.795029414608021,0.7552897298657968,0.7734272962721335,0.765174291893573,0.8642544654691372,0.8685325836058393,1.0188234954811062,0.8628197373825736,0.7804672468960622,0.8429010828847254,0.8151122280614733,0.7971394408198441,0.84010185950904,0.9061896599354196,0.8260897893936461,0.9785221292408564,1.0096728581363263,0.9397099506286498,1.210028307553225,1.3426021450062111,1.2955001682272476,1.4289564870350087,1.3444917459101293,1.1127135403745214,1.1160533321608095,1.073655913001523,2.0942026387232153,1.2904705227033944,1.7241432941961496,1.0727638311762657,1.185439405390827,1.3137785148546597,1.2974460765786084,1.1464414022544107,1.044998326524943,1.424576786100463,1.032527309353038,1.2437781843503426,1.00883017264824,1.2008942641052036,1.0128031949734488,0.9347209471609218,1.1632741767760233,0.8648437849694866,1.0281680627210077,1.1234645919160415,1.2301308267828517,1.4127742369522696,1.7537804661775909,1.664624782281652,1.3436913697694723,1.39457537361421,1.7390435489013711,1.4977901530685487,1.1628721699503135,1.4513645163891375,1.492756202357784,1.1202259415156515,1.198435690133497,1.3294098190530297,1.1528487867546622,1.0967739978900586,1.2168062789987177,1.1076048164474077,1.139802371109811,1.1193628469166372,1.1109362006601367,1.1083270419938747,0.9440328706913141,0.9675158389481961,0.9859248998488863,1.0028499642695707,0.8692685144675265,0.9325346891120787,1.1466406975108971,1.009348293431398,0.9072571197164206,1.0925064879984723,1.387443583490983,1.1432566508030317,1.1862487066998813,1.3594610076089806,1.5747017251602415,1.875861041176749,1.4466978808934343,1.149644348092082,1.0840259139567943,1.385080976504621,1.2315946614076885,1.2546447367666476,1.022144019888437,0.8567257220101545,0.7248046944231715,0.7294214794785664,0.6752142924539357,0.7762932195175862,0.8459673755753577,0.8869841044446368,1.5301221928660467,0.8196288881541942,0.8196351877070586,0.8255596718297562,1.1716751442953401,0.7405144746868149,0.9921581466038601,1.167708809686735,2.4968801323386804,4.188801224682486,4.057097331139633],[0.9783919866314584,0.8324056707253532,0.8639028704324958,0.7060352107164247,0.7272048755495145,0.6763133576830161,0.5939171940258567,0.7291208929231926,0.5908226207232676,0.5859089981397985,0.6915411827172984,0.9035520885655105,0.7616134883599373,0.6131101890609352,0.9148743923687973,0.8841742237503786,0.7340974654683885,0.789604932824621,0.7503252461066022,0.8040337582070618,0.8103958076960991,0.8480925927741833,0.8654988088870829,1.0060449589735547,0.8267143994504368,0.7803230474939582,0.6878133848509028,0.693184100002874,0.7701778536532629,0.8798066328155189,0.9551661670005397,1.0787256397630276,1.189766060313979,1.1850698012026397,1.0989619441223735,0.94173772622399,1.0072037095371942,0.8494338901578621,0.7980114995647243,0.8840793812068409,0.7956353530987722,0.8274861361473764,0.8463107847712686,0.7884851684169624,0.8725456362966871,1.5919745704775585,1.5161994375579666,0.9639881438944193,1.7886970156982882,2.3569763359120057,1.2573312915288881,1.6370547536249798,1.0387540073570554,0.9218848941630027,1.437392128954557,1.092255995916648,0.9998384187241502,1.0374966524645428,1.1166275271961936,1.1545547823424418,0.9807100104888798,1.118083621361988,1.065195035564695,1.1018483050143133,0.9237114256592197,0.9459431364938323,1.0201376748803905,0.9082272505189458,0.898930244174647,0.898922090490921,1.0759495727280919,1.4956876347431607,1.1458230737160104,1.0647821163564395,0.9690602417688997,1.426090250179754,1.0287769689571433,1.1649183992720271,1.0758731501612164,1.0153387355490264,1.0982677485437196,1.118670433472277,1.626780142064896,1.2269360150033968,0.94631093577561,0.9598687090015784,0.9248463786400151,1.1314571450449484,0.9707463314137339,1.1859846195224562,1.0903059481996444,1.1647365686215327,1.1031505165628512,1.15286272321762,1.0251314880615077,1.1018250866405797,1.037145130619726,1.1080160336688962,1.121746984402056,1.4464224211855936,1.2685567079127023,1.4232044727890092,1.232087212370779,1.2297754087330095,1.1521146000340405,1.0660572230192995,1.216636454228897,1.0530772894084222,1.0052131290602664,1.0612963807307934,0.9314962613075538,0.8393398700097232,0.6855616799385251,0.6455910680759307,0.5917249993397911,0.531315154376136,0.616312687783241,0.5333452841619991,0.6401526161828294,0.7171826259739439,0.6355457196959228,0.5812957444584734,0.539625759885473,0.5163269167416288,0.5489106652323216,0.574150368608593,0.6858247999471707,0.7002026614539234,0.7540565209611282,0.8423306911764905,0.7831113024080163,0.8588033246865364,0.7907561753274074,0.983265100281807,0.7403081063107907,0.7227341650013063,0.8441167069906822,0.6580762362541728,0.6526252761751117,0.6221863643768014,0.7484503113421819,0.6797624268032885,0.5914163569690942,0.5969004914701576,0.651518970350828,0.7156339067768455,0.6539934545247436,0.7331124453326364,0.7957174275410197,0.7731541152434139,1.0035566274750887,1.040506445225874,1.8675564955758002,2.047875649486838,1.4915506178575337,1.4367964894811707,1.0828479134625126,1.1611050803163114,1.0065071646028665,1.0766913223006502,0.7695781112163553,0.826433379820959,0.6533284272487109,0.7707479522754735,0.7652097596025953,0.7359216680303725,0.6753350835153945,0.7848693330282653,0.8482055919532042,0.8415801487861735,0.684865633225767,0.6673796315427835,0.7318164211194752,0.8223201316715405,0.9217326832877867,1.0778772186638104,1.0665012996983734,1.3325569720808874,1.0820732165755904,1.1696118510607663,0.9600983243418616,0.9500491406392283,0.9346704829819166,0.9067512166045507,0.8057903715757977,0.8776752748053647,0.830244439332435,0.8686982852857423,2.110425524444024,0.8407156290663762,0.7360200890181148,0.754537395599557,0.8002270605337322,0.8838771544671947,0.8153556450916662,0.8677275192381037,0.8319365874483532,0.8446563948698336,0.8308360300069836,0.9187319367125271,0.9344324874094634,1.0665085246240253,0.9207069492201503,0.8622403922765361,0.9166424322140873,0.8848753124552516,0.8894724893516063,0.9313510916328094,0.964710065011969,0.9127736221795798,1.0840081903544083,1.1053936585955135,1.0188079474150564,1.3221445252274528,1.4702938327200843,1.4161189931290712,1.5239820897399117,1.457192390105183,1.2199052471028071,1.219233928783454,1.1670005027299943,2.1379223821122686,1.3931066594152488,1.7721707388776913,1.1394738544982856,1.2384716593798832,1.3453293735721048,1.3323478643117397,1.204983079416237,1.117534980935747,1.486512053367535,1.0938177994286147,1.2971795650543407,1.0895935857336674,1.2578196336609853,1.0853164885711546,1.0040944194204753,1.1905402447712912,0.9345979629423533,1.1187647633944278,1.162993114848138,1.2740261229932368,1.4646427891225924,1.8216711146827103,1.7225578159187298,1.3870756501791337,1.4435848084423035,1.783181261878552,1.553253051096906,1.2154136045179966,1.4946904210221432,1.5322794068082122,1.1617961456658144,1.247480429953348,1.3688839504936345,1.19871877901522,1.1430507724730985,1.260378427521766,1.162232572571228,1.183264485314413,1.1720578971553652,1.1671014840286509,1.1729188088084659,1.0146958892997442,1.0354311360785253,1.0703078296200326,1.0946182151549806,0.9559208216989258,1.024555824882579,1.2391899736866885,1.1014857344788702,0.9939437944995186,1.19288569184213,1.4528606062138338,1.2221915245476715,1.2704216643115984,1.453359625107856,1.6739271603429393,1.9709122100044696,1.543700639628658,1.2505959336299617,1.1896233896580035,1.4747705549279304,1.32065708827859,1.3390698982954832,1.0988779245663416,0.9448768690596983,0.804518403693715,0.79591998815456,0.7441502065083209,0.8278120442795958,0.9216118885795601,0.9682230954072868,1.5788074860041454,0.9009549366933475,0.9193882755614747,0.9090187447561113,1.233874576812744,0.815154414218103,1.068169861115468,1.197283881697952,2.152770039687669,3.8521141887786743,3.7655165696568824],[0.9157674185141763,0.7486402842706963,0.7901171328736142,0.6744902456002758,0.6901823778114792,0.6242564869436119,0.5412604889104904,0.6784562873496263,0.48829076108589053,0.4627514258468879,0.5406516832395087,0.7450001999210469,0.583409160705456,0.47849858697260045,0.7547983031790834,0.7116401221834759,0.5651995280962437,0.6231931215617701,0.5740533046172412,0.6140571572483539,0.6346087577963613,0.6718026290197199,0.6717097658538211,0.8598623136083542,0.6817563166951882,0.6384824736239694,0.5412410536981599,0.544661337236553,0.6148317814352909,0.7114030501823104,0.7663121875374552,0.892088812528074,0.9874687249104982,0.9707640799351134,0.901937319616182,0.7561709859879855,0.8191893563968033,0.6768950594160943,0.6304628716557718,0.6957831745938847,0.6548137315425919,0.6587441704956307,0.6435447989596245,0.6463609101820258,0.7808726276554155,1.5517127543820857,1.5190574931202416,0.838185136356564,1.7162753634795902,2.286427383119964,1.1689603234882058,1.4759263042591946,0.8801583102592718,0.7180245164326123,1.3018271499566538,0.8850199472573316,0.7877911092318777,0.8487188609087548,0.9757934263844181,1.0031278467733284,0.7828632398583446,0.8964843103761411,0.8204652161963196,0.9478465363215509,0.727775431266056,0.7802244309041863,0.841308249130284,0.7069273203721855,0.7703869031069149,0.7422774480733924,0.9601373592660513,1.4036073777264597,0.9984230486929013,0.9267451174037904,0.7608734170548249,1.2981301084290415,0.7975739530906267,0.9282146270907833,0.8520372189656773,0.8349834817418358,0.911226519385497,0.9256515117446673,1.450537282306828,1.0492126399092383,0.7697339688630738,0.7867550334503908,0.7368204792905602,0.9488841338030127,0.7891822704247989,0.9623469045005449,0.8494373079169878,0.9947732508994215,0.890300613362287,0.9315065283499596,0.8330493215750401,0.8910386029229952,0.8749673484099068,0.919716241857164,0.9509122066133111,1.338588928136698,1.1000458594094271,1.2717310398291002,1.0583581540594766,1.1050379676665643,1.023081411555522,0.9620489015154504,1.1149290781284207,0.9310124817045468,0.9056194929801544,0.9640670935971846,0.8502834401082866,0.7399506449227058,0.6070513569029531,0.5625687250759996,0.48273333368020344,0.4377992594064047,0.5196295971042559,0.4700398635446155,0.5617529878391315,0.5752780734597336,0.5071136199509131,0.46651950417820565,0.48605289553034403,0.4437124094981646,0.47862575275164637,0.5046694013373739,0.639188949023622,0.6457550303726063,0.672254763178873,0.7433397133985334,0.6967622474127747,0.7471024272152726,0.6940550999814844,0.8713621354854124,0.6811601474760466,0.6703806811688964,0.7980887546878698,0.6075420926041266,0.6185511979770646,0.5703180178400638,0.7527339659471876,0.6708573888531775,0.50744626755847,0.4905684188776755,0.5134290092110343,0.5630736434192515,0.5153084217559253,0.5995074216995122,0.6844330720527891,0.6953314330093993,0.9322357045855861,0.9900791774235974,1.8240264627935336,2.1148411797574016,1.484470769657248,1.3365667644426291,0.9717194514926194,1.0535135976844952,0.8666939247693164,0.9667517195087996,0.6674125473606903,0.661714166313909,0.5499080602507539,0.609758321022735,0.6611275478299429,0.6813802877706472,0.6294282183951034,0.7969218855483455,0.8458459642012692,0.8490250104458557,0.6494483651815427,0.616324609901909,0.6549681963134046,0.7066841005705499,0.7838259498648744,0.9356510507993167,0.9060753720214512,1.1250430990897473,0.9137720872998991,1.0188275669423696,0.8289518772993029,0.8277237408149853,0.7948827770239316,0.7668681666579971,0.6974909994480212,0.7319318246663938,0.6591270520963831,0.7698187247826203,2.011127971621806,0.7551129272191993,0.6857020478172032,0.6798322266976589,0.7793973770560371,0.8739794992301446,0.7498399808328519,0.761210818482271,0.7400461457982371,0.7334987994667613,0.742900023399256,0.8211526864932405,0.8199037966402477,0.964643715955227,0.8214164273854988,0.7644823850198958,0.8159167587783382,0.8001563022408742,0.7894175492429373,0.8185951820025169,0.8748349922216965,0.8026328548495298,0.9518701543639543,0.9394704905123618,0.8795673600067084,1.1831383821413486,1.274661266404514,1.2541140540021953,1.3521750441791254,1.2978458655731901,1.0684605911551723,1.0375825734398327,0.990730167227944,1.9563205790052773,1.263113985356915,1.7393783280017634,0.9902814235811733,1.1018069259740737,1.242344883876531,1.1956409427876338,1.0847840362634815,0.9656076697740242,1.3450429152612988,0.9461139862192052,1.2002494973824047,0.953556145463134,1.157636113485203,1.0276583349311137,0.9365762764198248,1.1955891909252243,0.8532947937390738,0.9829946604374912,1.0093064887534782,1.1296739245902068,1.3105977544388474,1.6595578830319486,1.5474455144003059,1.2572568309905119,1.3286607911429105,1.6625405836836729,1.435683479704246,1.1330373363257626,1.4185784832069361,1.4900445203412258,1.1079014808908403,1.166894213995859,1.310587740875399,1.1567694880176214,1.0441382931407381,1.1637724529784388,1.048718741111033,1.0794112198007038,1.0663002744522942,1.0466280353361765,1.0383504812302589,0.891776226621362,0.929351093199707,0.9306432586838423,0.9498464961824381,0.8405558146049188,0.8949121342618466,1.1044553729819302,0.993752940375807,0.9103928438087469,1.0704774826629315,1.399749313341086,1.1476627924376794,1.186847995831029,1.3615790180107419,1.5707894613276114,1.877445988851641,1.4398235414511342,1.1383573865363141,1.0749485784459873,1.3797069224734324,1.2426829969572604,1.2690512304058859,1.0436865035080964,0.8700148020559682,0.7453001656598629,0.7210370927761532,0.6796733839897843,0.7566372251353699,0.8325454810079115,0.862948127429318,1.5011273285151918,0.8207075747221699,0.8228910973259659,0.8132552536311323,1.1688974434234014,0.7380350195235265,0.9227208560490956,1.089271357173161,2.2672354307871023,3.9300581410946265,3.5900966303729933],[0.7789932476342143,0.5699482037567436,0.6442329329690688,0.5443048856662458,0.5681250390212541,0.4551214396421295,0.41790584211730625,0.61523105048152,0.42831696801316593,0.41437762413406515,0.5236845309581261,0.7334288730005755,0.5706993219411121,0.45284101663852494,0.7575640117216073,0.7084783072680831,0.5701866248907091,0.6194131692453076,0.5782471354606097,0.624105398573536,0.6343073034666539,0.6784261959702664,0.7066863260871259,0.8696418237049809,0.7019022059963719,0.6408069794246617,0.544043156714813,0.538901399644478,0.6144403144045053,0.7100854540530644,0.7587563018954084,0.8851267168387856,0.9692574848440065,0.9551322567741071,0.8902684498699934,0.7563017658997032,0.8143862343160962,0.684529808202124,0.6372697188963886,0.6918715029541948,0.6283103250335278,0.6827204859322789,0.668127263199942,0.6657602798134485,0.7535696351288615,1.5134601041443636,1.4635974703453776,0.8482321906998309,1.7332010261574295,2.3014221109260697,1.1837032843540685,1.4550312251523727,0.920977982617621,0.7211452418947638,1.3171009970548933,0.9076809094537046,0.8125964279915545,0.8552418419262711,0.9693199974184505,0.989194769982622,0.7832148833501014,0.905933609114043,0.8264915687969132,0.9491027899699976,0.7401012945732821,0.7849947365043968,0.8527813113266735,0.717334340671657,0.7657594659933044,0.7467861936389725,0.9687064686954306,1.3770155217176152,1.019146972910645,0.9200122771152524,0.7565262320088235,1.2777526729827595,0.797414500299145,0.9180147349404933,0.8442615506391221,0.8264630952192128,0.8991258635976551,0.919609169601238,1.4494812460300852,1.0314590637206786,0.7594955956447459,0.7832670707019236,0.7407709976274647,0.9395602556756578,0.7891660420757545,0.9520380421614957,0.8457869720323594,0.9697453407389822,0.870655760132767,0.913380333283437,0.8211158015560901,0.8688474270456099,0.8654192986205284,0.9063168256540352,0.9401423946991644,1.3132997786318255,1.0796536019148961,1.2307371124015205,1.031678415129717,1.064765335116219,0.9767811923182639,0.9093062881927871,1.0463699380281022,0.8632969777310527,0.8265964086225691,0.8936833398713752,0.7705499623432843,0.6773230115548244,0.535273482495531,0.5006516298995286,0.4461599407269132,0.3889485897590131,0.47856175574295584,0.4125700153144015,0.509479102604946,0.5514336122098604,0.4816956379498437,0.4295486191345417,0.4012966454510237,0.34510190526705975,0.3779102723639666,0.39238740023161583,0.5763527630032559,0.5510564502377782,0.5809843179296178,0.6652759401690872,0.5896417825858067,0.6732852535709258,0.6049247977992003,0.8178005286481463,0.5838199163693306,0.567991341690667,0.6963257199713514,0.517693478363739,0.5457733284024062,0.5075312829613587,0.7007128858124778,0.614653838543043,0.4808467982109433,0.4575458829371787,0.5006781736918678,0.5621712915960312,0.5035640332859295,0.5880685539956643,0.6526772484196226,0.6521355255337317,0.8928352938691154,0.9630284752465945,1.7889074800961198,2.141654040779852,1.4709396040876397,1.3115435876467785,0.9537125070034211,1.0227295053558638,0.8498535840610223,0.9453389544086953,0.6278840711732355,0.6556488733510109,0.5108674603981318,0.5985317995440195,0.6226379995366927,0.6278319103230949,0.528520405933294,0.6674129416225543,0.721887354094989,0.7280202266473875,0.5466629003761115,0.5394797171955018,0.5772352804271697,0.6634065575105611,0.7619083910756081,0.9101449483076162,0.8933690354721158,1.1038732395180302,0.8969642364275415,0.9944109677293373,0.8064576912322036,0.786975028902749,0.7475180506455161,0.7123623408212243,0.6404526326324256,0.7111149273514095,0.6497800572450644,0.7682194819523662,2.0634764806757686,0.6997870506542128,0.6189259396343384,0.6014162856744016,0.7003478746349425,0.7957713272358435,0.6503722135074107,0.6562339720064257,0.6207183563686469,0.624990985071345,0.6249538269033027,0.7226881198702628,0.703542177808804,0.8601974574505176,0.7188689261757727,0.625354396542015,0.6682975243869242,0.6502637055117758,0.6663486120235547,0.6609655496740942,0.7248099659585695,0.666089800510619,0.8230489389222332,0.8275283255484951,0.7837067201506684,1.121658578253951,1.180131802964523,1.1309399193146255,1.2952338751514736,1.1501058490205573,0.9151728374016667,0.9036977385689667,0.8519225667298929,1.9633970879803195,1.1043797463433689,1.6937403228729575,0.9019280260168311,0.9891501136486283,1.1299029328996146,1.0913035943870404,0.9416026053519176,0.8220262971027534,1.243084069318209,0.8447850574359944,1.121270002722922,0.8286696950307286,1.0775893848037352,0.8909804308892965,0.8167440150584114,1.136723574813948,0.7375884960930523,0.8881154192359023,0.9332120953332006,1.0504250969780309,1.2321264047133635,1.5656618879096569,1.4631782156837712,1.1667723588634482,1.2083647697173674,1.5367144276659586,1.335018315112348,1.0069921263668569,1.2804686732143726,1.3417515589137228,0.9523533484709924,1.02520483812363,1.1808120986110595,1.0021412167546477,0.92281292915839,1.031037712832771,0.9126093399429479,0.9391898550324587,0.9307751042164768,0.9076492677662545,0.9041686991623593,0.7420698153000816,0.7817197622149453,0.7720473338383244,0.7867594164163824,0.6719241677916811,0.7256669922729805,0.9180873890177393,0.8147872097950847,0.7426463256908847,0.8689629348468721,1.2265175299106912,0.9690706999007594,1.0210450771043027,1.1815111357344048,1.361439095675748,1.6829337353715625,1.281923877040322,0.9996485818735767,0.961778213394389,1.2455333869096656,1.1094246413308337,1.111304476238434,0.9215697409877519,0.727246180301827,0.6344486652851702,0.6007573217917906,0.5719154722343945,0.6620442732711218,0.6991014949564317,0.7415883115606811,1.4372604349379772,0.6889427329641241,0.6761436999707137,0.6963834120241156,1.073827646889459,0.6165512263482184,0.8767747583855239,1.1901101200505877,2.9151245633445786,4.565688931615255,4.3053460521247],[0.7980199174368511,0.4797645093410083,0.5520341114678866,0.4644340196957181,0.5032877390198189,0.39180361956742565,0.3451882073998571,0.5588221878411688,0.38667423853972066,0.3417313487704113,0.4572896415238481,0.6603810776483666,0.46961961290735804,0.37753891238828174,0.6422611008848859,0.5876953491728792,0.4844354850256736,0.5305961338043994,0.5022528696184371,0.5158988058730412,0.5583970844690265,0.578996227090043,0.6428444184888324,0.8246518456642707,0.6339979582258316,0.5759359417235326,0.44584736427018745,0.42977551535399977,0.4910802069302859,0.5673580032927331,0.6346769713337933,0.7344296072945096,0.8128245374820331,0.7878108696609044,0.7224965728500633,0.5973638571159614,0.6563165392338309,0.5243962064127559,0.4671376755237738,0.4984666485128851,0.5345741439111347,0.5364260939102479,0.5196603860711242,0.5359404787184421,0.7147540921484092,1.4907319519975961,1.4706310806696692,0.724079909022023,1.6629223192474174,2.2535508661222323,1.103307842791304,1.3414865933299769,0.8210336154280601,0.5779010067233213,1.1494415218626028,0.7134923881368115,0.6285401662779888,0.6834837378916176,0.8091168125456485,0.9463753169527966,0.6569805776274104,0.7429814833577449,0.654188776208736,0.8160236279721069,0.6122193117272428,0.6487818077691027,0.7455146487350406,0.6123489651504681,0.7000689396512505,0.6978410851612665,0.904999950318499,1.348986790829508,0.9351708062510665,0.8701027873906461,0.6835764129409347,1.2067040147542993,0.6679136793111415,0.7663933789280482,0.6707281364646227,0.6588838005384605,0.7156386770783819,0.7406928940105083,1.3224480334565445,0.8086209514761654,0.5813978054098615,0.5987008093345403,0.5659926068683395,0.7622375994317095,0.6119099371559522,0.811977163909725,0.711600438454886,0.8734554792064527,0.7599494204278804,0.7868911415044532,0.7057284299509426,0.7851868150619665,0.7688287419499384,0.7884950647665535,0.823285614956153,1.1848391369734026,0.9177989959637285,1.056311510032732,0.8553144071664475,0.9076220998519673,0.7939416716226197,0.7417725185695968,0.870891054362732,0.7026968362530174,0.7072776781898927,0.7435141876262518,0.641158680028223,0.5455014319751434,0.44603318089532357,0.4010483160436343,0.35508657763476154,0.3273147131659525,0.41359736640130096,0.3453441647830143,0.4910078750390805,0.5005524636330767,0.418551570106705,0.37722911631327566,0.3521066070772686,0.28225705168973664,0.3149718783421837,0.32674434346385306,0.5180509430466783,0.45663951965626587,0.4661381633499668,0.5187412074157627,0.46768594582720346,0.5198686284837604,0.46432710707593783,0.6744316792220809,0.48371672465553694,0.4964638719561614,0.6757609686076363,0.4443821503665477,0.44769562662325846,0.4097501037816077,0.6457238621951493,0.5722256050563865,0.4100947800298471,0.3560217110580327,0.3749574472345006,0.42486996836290514,0.37543462909620884,0.4662010734180526,0.5187334101380447,0.5582660348024954,0.7936243863733552,0.9037072167352201,1.6598124951141338,2.135236893019947,1.4456904830746726,1.1776686490278365,0.8299137790037305,0.8851672052183494,0.6900473323854001,0.7994079771523954,0.47047019668272905,0.4976471983932526,0.3711635724075573,0.43267537516990273,0.469495386839583,0.556210536375261,0.4476324744051953,0.6624934731834394,0.7142067792792685,0.6988923058245724,0.4687736900424275,0.4389048809904709,0.4343305142142573,0.5037109615995015,0.5755894452611666,0.7137353169078032,0.7175586564657039,0.9160039939912085,0.7025229366053579,0.7927753412476388,0.6590805261399025,0.6172942310830204,0.5700366745941895,0.5193257447921845,0.48289457877482855,0.5206376871346503,0.4827639895656238,0.7124098095305113,2.0016672963558273,0.6531567270855125,0.6217651091063082,0.5281487473365074,0.6782787806940249,0.760159893828693,0.5374905115345321,0.5239509480490222,0.5149629279288928,0.5039877078365322,0.5170555981784816,0.5909358755307803,0.5683835204273301,0.7129122037841521,0.5959301597738274,0.5236292392894898,0.555951653882668,0.5469015219707064,0.6070244328062042,0.5584468429474725,0.6100931751341132,0.5470015106919865,0.6965067796924144,0.684231910883866,0.6350257949097168,0.9501052567054572,1.0151946524530413,1.0136206426404417,1.1545055346654374,1.0540685261583038,0.8215910579689844,0.7941052997351733,0.7548166823004041,1.8830658912249298,0.9839389552565135,1.559008112181033,0.8397976392842893,0.8236494995056866,0.9489779097537256,0.8981237569606784,0.7591512626343517,0.6599310771724373,1.0660237747378107,0.7439165215223874,1.12365677569269,0.7122223804727205,0.9032285920399193,0.930085322141627,0.7716145115419418,1.0740390146790777,0.6192680804116539,0.7272020219391196,0.7692042990211366,0.896952270266774,1.0590589099280672,1.3491711478623223,1.2480756791156262,0.9950058473970047,1.0326036031264232,1.337911473705546,1.165352089707757,0.8735429169768725,1.1551694098493865,1.2495531314314772,0.8583317121399364,0.8931965412654344,1.061376596402274,0.9259477634849551,0.785689317869761,0.8758205168453259,0.7652501911025866,0.7881221934729784,0.7811450249813973,0.7419128110109413,0.7558796330118853,0.6144231825239235,0.653134337899714,0.6527514573179399,0.6950529214149054,0.5790367285775769,0.6228091860289116,0.8679421258856073,0.7857900541889667,0.7343624261708895,0.8483813734905974,1.2943478297286104,0.972317899728594,1.0176550710522094,1.178605882431496,1.3265616501512005,1.6476327456414197,1.2289643334154123,0.9468290803496489,0.8745054320808788,1.2025834636468422,1.081675681456772,1.1063478516375431,0.9252174287716124,0.7102740478604743,0.5803142585263626,0.5096518235130566,0.48895528411651934,0.6086382333151913,0.5684033691913543,0.6255904770700603,1.3689534078526022,0.5498649650065206,0.5568650619805374,0.6122158426301719,0.9304833338775645,0.5437336502614913,0.7478492435582055,1.1712493142172267,3.0520557101247365,4.386203324975715,3.8484963344559135],[0.5855028695356516,0.293863479444899,0.44257228507348384,0.36469703734549985,0.37218591596392164,0.3439078893733577,0.24969397980199026,0.446448425089561,0.30780984419630514,0.2851615384823591,0.3899677963990154,0.56367863267513,0.3850568846741375,0.32252135401385795,0.5674204026863879,0.5020157663590409,0.4330113414568117,0.4745612097641282,0.4741392717129737,0.45714944406909275,0.5216807491311257,0.5376131321291463,0.6110697149275207,0.8364688556790474,0.6213080041194301,0.5801294492194654,0.41560735396674436,0.3911951309334201,0.41659106139482893,0.4766650688486249,0.5414623480395229,0.6275540304125378,0.6937305066272254,0.6645493847087615,0.608635451334114,0.49924332107366787,0.554183498967025,0.4460384205027145,0.40095534742612465,0.41875505488811315,0.5218753347077232,0.4940648325172099,0.4681457586796991,0.500486861831983,0.7090172473150289,1.5105304336332868,1.4848337283027249,0.6984435546197758,1.6669242461315983,2.239520354953371,1.1011979556185505,1.2827497071723208,0.7949876084972161,0.5518454164518427,1.085438555044333,0.6351857163767358,0.5823170220906503,0.6204514298892965,0.7422676786482254,0.929865981161804,0.614193565182295,0.6955915497713414,0.5823978027551259,0.7459203743724268,0.560205939708116,0.5945581829810812,0.7073489229855481,0.5591597691932119,0.6496593029282809,0.6442988470575796,0.8649670013237106,1.2760685106341942,0.9031840204476189,0.8242996559063477,0.5988274857263892,1.160454685149489,0.5723141338469292,0.6558222247360515,0.5660590999906335,0.554495367968957,0.5994688214519542,0.6376955168447075,1.2657323239491853,0.6902224524175157,0.510514142300225,0.49537733598289607,0.4680737253631847,0.6589337540289146,0.5157326363281721,0.7157295715569795,0.6053154460053454,0.7746277190086523,0.6508227553669086,0.6569679747522835,0.5974670623196127,0.664326874193125,0.6816251137943672,0.678442781905378,0.7076812312714716,1.07870130646958,0.7868310349463801,0.8975450565431696,0.6989289161228767,0.7526706692076246,0.6591145352969151,0.6229670375688594,0.7200157553563431,0.5367116900177548,0.5360914138377771,0.6115141644039974,0.4823587261801668,0.4013672379734146,0.3354382178224482,0.33888196536239035,0.31333799305955823,0.3072443088246529,0.38234219069284875,0.34576847630843216,0.4721818310874351,0.4846022904737049,0.41445814280969234,0.3580606087874549,0.36043452980676344,0.2701988415539244,0.28444181283512976,0.27771811528005047,0.45050227067532667,0.34875534060898855,0.32179211146710024,0.3854017208986943,0.35548087507072146,0.39383968425412424,0.35935803338023486,0.538366339608022,0.4165224305493104,0.4426741320250849,0.6096434321093361,0.39759706361350594,0.4244226390740057,0.3958546704283903,0.6434242747003031,0.5644569215772535,0.41511566864703986,0.3368636272912414,0.32428411049716127,0.3610471158943789,0.3150471877622974,0.38453923999470085,0.40727382929713984,0.44537303830354724,0.6550194062413485,0.7988488459475407,1.5041877928753975,2.087397738404349,1.4201984579140305,1.0412571289245682,0.7041700981594193,0.7400161802464944,0.5670924907157494,0.6571921055604212,0.3814553963078036,0.40682511975321173,0.31466648212666587,0.350276969450862,0.4336678929514161,0.5432325786076546,0.4252241388501214,0.6561785987692385,0.68527489212486,0.688184115024296,0.43254095394252784,0.390137680958365,0.3731291928780366,0.3951924715247239,0.45972101988782826,0.5849723001543294,0.6013578878998169,0.8129386043018139,0.569005494452659,0.6732174226449962,0.5398482514032295,0.47422554491247443,0.4252625234169848,0.39825799895844055,0.4024314842582048,0.4443310056682365,0.4175309135142319,0.6899821336788331,1.939580400023459,0.6618018167054661,0.6384831665582194,0.5356768992497168,0.6708183127932384,0.7330370353337079,0.47306397514206583,0.43197677480744134,0.4267508799372215,0.3843192613863725,0.42264653405547264,0.489918840288502,0.4540513447439693,0.5821288574563978,0.46351688450538264,0.44267843094216763,0.4712147560460792,0.4609410644291379,0.5602889806128557,0.5223929536524811,0.5718045432773927,0.5409288965811477,0.673161369057658,0.6838980455840841,0.6698184023000411,0.910642775342935,0.9505180549113609,0.9281253092583784,1.1236171681690128,0.9494182047714389,0.748559307552407,0.7485511472808483,0.7006092214432708,1.7861227866162332,0.9254358332066682,1.62501807556023,0.73830208920669,0.7496019097002312,0.9062649107202173,0.867654351515194,0.7246261927347043,0.5488717480230123,1.0054472677568214,0.6394641412073019,0.9829224609563676,0.5801036343813338,0.9031114459982198,0.7905001726673808,0.7095699124445556,1.0966481952184028,0.5387199165393382,0.5806813787665153,0.6677669938333117,0.8053360720024388,0.9375836881845014,1.250103144827171,1.096071345441102,0.8576415516017666,0.9149000415468375,1.188377462926709,1.022149425589325,0.7670582977982546,1.042003554997057,1.1250550217030444,0.7700076836111616,0.8414586569445975,1.021472432197939,0.9500698045348244,0.7969669212099538,0.8653301253675648,0.7429491191800318,0.7387971221085564,0.691217290564893,0.6623165518226517,0.7181092752441892,0.5700151983766621,0.5700007981054795,0.5816328546592822,0.613049764081404,0.5018193986880153,0.5560614963094334,0.7624979184310641,0.6692221665713552,0.6219028674395203,0.704110077335813,1.1611282958480502,0.8881612288150503,0.9023878848740606,1.0610130497890906,1.1929779458240306,1.4796339162046623,1.099277530803559,0.8471541014613331,0.7911688104263073,1.091010147679941,0.9720846840974882,0.987118393150168,0.8512776674396105,0.6405656848775019,0.48892538810383535,0.41338220581351537,0.37081050103504565,0.47173838279684616,0.4138092292014089,0.6095507378942642,1.2406790881626835,0.37606201285848895,0.5388763463383698,0.7019468020777593,0.6927355001550503,0.5448326796960913,0.7520651202465446,1.5207316608215937,3.562786175637594,4.537993925467606,4.153261580765746],[0.5431628524716563,0.33593237223073363,0.4584458526385661,0.3631661154650838,0.3644219105730345,0.40686498833723034,0.28516639948742845,0.42673897820500106,0.32006994645010783,0.29770262179932366,0.38681823817239647,0.5636365031900511,0.38221112087237197,0.3499997035032053,0.5618619940934216,0.49811617820627,0.4464425705208401,0.47879239230612886,0.5094057548173854,0.4840920882536792,0.570833916360892,0.5710303222536307,0.6559127827515576,0.8801613599430188,0.6441713827571115,0.6215814383441978,0.451397199504842,0.40257580302218976,0.42648520768254855,0.4884941820191528,0.5583600739115889,0.6253509892611503,0.7323081806975904,0.6768932312983558,0.615724309269983,0.5158415560338228,0.551982579557383,0.45240301210736666,0.3989270737116948,0.4083637088516506,0.5832222563275875,0.5061497809110775,0.5054854692055221,0.5213408604833769,0.7475116900431974,1.5548013880600686,1.52590504606198,0.6964638099462391,1.7011156416714293,2.186310265719828,1.1292795658115122,1.2520144433479472,0.7881166270125328,0.5869989872631828,1.0876031939199726,0.6476103318111903,0.6010650519621726,0.6349290391389196,0.7379164338715458,0.9645476651367003,0.631954130886964,0.6871682612880646,0.5924881571560415,0.7753841119036864,0.5980837957274822,0.6147852023137,0.7372215191672806,0.5808273477279411,0.7074462063910391,0.6592340107663335,0.8813843974180603,1.2969988385906441,0.8821883024351032,0.8717588179607341,0.6239859924273002,1.1914169867318876,0.6008089243757622,0.6752003570733262,0.5800455123055508,0.5632698065455705,0.5905634941741227,0.6355412335481755,1.2910508656621007,0.6737927933073246,0.5224993328883452,0.4932468689282248,0.48624947759662546,0.6524022986351826,0.5271281407596149,0.7146460274907988,0.6197158395756107,0.7785064824052367,0.6703026743384337,0.6722074735489455,0.6089899901521879,0.7019327270137744,0.6795551120186106,0.7054745342107505,0.7269187972406094,1.1099351806166997,0.7796667446131268,0.8689855228414209,0.6733109280992229,0.7109939655286932,0.6249503248108191,0.5702266462592013,0.6620619804247122,0.48400501591191014,0.48567353349416076,0.5768889498329721,0.4321816867107333,0.36863825731073846,0.3287290124646828,0.3478378294517326,0.3136825535594536,0.33828981178778594,0.38326654576709024,0.3882941129624441,0.5384096359050019,0.5164999310444931,0.45146064094414806,0.38690773469521744,0.42094146596863163,0.33529089476087687,0.3257713938993876,0.3142917974294353,0.469271153529494,0.3521832441098909,0.3222130930906977,0.36139631431328184,0.34978749527672304,0.3634884915509944,0.3634947285038945,0.5206586855541191,0.4238537241421096,0.4497126333932595,0.623222757357057,0.3994285019186377,0.4060791994613592,0.3927224310868539,0.6669912981202714,0.61137002028913,0.4632417458748263,0.37150571883123706,0.347190277899216,0.37624409080513943,0.32818918657869556,0.3880025222576256,0.4031391052244882,0.43261665128942417,0.633312727277025,0.8079367802226715,1.4625665115835371,2.1907424738213552,1.5232694911564517,1.046450338266525,0.6946152567554276,0.7185546669278557,0.5562644286744521,0.6178756016124106,0.373858617411286,0.3924199534622812,0.31765645722943703,0.3517264208177363,0.44463348263460967,0.51546726710863,0.4410126521265836,0.6747512456869935,0.7063025058392856,0.6909967958481972,0.4441617078589343,0.3676473248984386,0.35287038580990826,0.36664035716072924,0.4371017397843561,0.5757314844170339,0.5936997373719868,0.800519782680811,0.5610215581955226,0.6484827719284949,0.5073806802304672,0.43637774589950123,0.38789452351141296,0.35683656835334127,0.38139699173248,0.4287155527603214,0.42541753145992145,0.7404042880939553,1.8187686568632417,0.7258211100846007,0.7215442096048155,0.6045751516804893,0.7349942754956375,0.7831551408711293,0.49671415703595345,0.4441772444158681,0.44778046380987,0.3819134802845153,0.4278270459642877,0.48276303631795375,0.43890928999459,0.5314235198457441,0.44256564500819734,0.4563221188769837,0.4712096696769504,0.46903384959837974,0.5949052694174012,0.5464395627023623,0.5784302003963117,0.5662481615368722,0.6828294401178749,0.6924544257340164,0.6869252344682796,0.8925806122472286,0.9285620494822917,0.9086036588960448,1.1402088849961505,0.9435980244968813,0.7459915017072998,0.7553242350044282,0.7034417175359811,1.7431454356719902,0.9129717512080682,1.6265360920059264,0.7355810546348516,0.7271772550936634,0.8675261871478462,0.8585398694037547,0.7161392355731361,0.5346930242346706,0.968079728930277,0.6390183243820802,0.9679863188584291,0.5545843726819906,0.9171875898692392,0.8131434287340112,0.7549956222711998,1.162722872988109,0.544010591481744,0.5584944473903172,0.6439958865463254,0.7773230254037257,0.8939671734887404,1.179119876207051,1.02683423936761,0.8024070596016059,0.8671382447559595,1.125958327994941,0.9459936225098305,0.7324382137737409,0.9933691370065953,1.0686632239949032,0.7478924434383706,0.8251114899062305,1.0055656272064353,0.9647749100240557,0.8048420378684179,0.8639002762116326,0.7374239500592306,0.7261778742833931,0.666181789618994,0.6363763302663648,0.712008588859028,0.5746190652945248,0.5591450107487672,0.5774665901085744,0.6120515328926294,0.5155247252045425,0.5613649067293683,0.7720591042863495,0.6810230827285159,0.6511704396881011,0.7219571749146193,1.1851531650348186,0.9113909513720748,0.9058810690396795,1.0852204230787803,1.2117065977134351,1.4369827424537105,1.0844649661564136,0.8424641588058612,0.7754141397387073,1.0658899768603143,0.9580624591855471,0.9901168615489161,0.887917957648508,0.6740656367368327,0.5167006224954142,0.43071655312332097,0.39771281633162103,0.46309347485426655,0.4033983621091497,0.6552364533002231,1.2520904105933406,0.378715525731703,0.5925096607220305,0.8124164492667714,0.6298742751377844,0.6355155613014434,0.810816352752528,1.704802688669796,3.7000428220898858,4.613112217465362,4.373455111367186],[0.5331480090483662,0.3357175539355244,0.4200834951127322,0.3200005892442094,0.3633401729046886,0.38121646022251615,0.2631344246789812,0.3746386800424273,0.31208631588659924,0.28992636809315414,0.3571191224896827,0.5185863738708106,0.351406696284278,0.3556371471681988,0.5385052104088403,0.47296561604245874,0.4555289792724104,0.507595613368731,0.5727327439534797,0.5205139369874849,0.6542328096183712,0.627371722321447,0.7261259537496467,1.0261972232285759,0.7248036945980509,0.719151374054775,0.5151725380030977,0.44145576073861476,0.4363941465913239,0.4738022420612899,0.5401346767061029,0.5656241876721051,0.6774338257350075,0.6160867994499157,0.5530907307683737,0.4944518961456599,0.49449567559335245,0.45325352055350504,0.4075966224601629,0.4145072076702142,0.6742250864294247,0.5226369814342553,0.5495008686933506,0.5624081158865585,0.8269180596940477,1.6175798244224846,1.6116508775827392,0.7410181568126026,1.7075174247056695,2.151937571746691,1.1964826273543074,1.1971761234973024,0.7930616228974771,0.6698183362088744,1.0281083695750022,0.6240710736351948,0.61351025777775,0.6490098449441057,0.7324099120369965,1.0535625904754014,0.6769668788382408,0.6677062618411005,0.5897560759844418,0.780154938792782,0.636720447882989,0.6378834806005252,0.7771602094115443,0.5871321311173789,0.7330010304561019,0.6682312724198385,0.8670758925749456,1.2752512619737164,0.8593163732206973,0.9007339610522974,0.6380741267587199,1.199669335558715,0.6020565856493434,0.6479103418036937,0.5581296785594857,0.5439511678408694,0.5272867121794483,0.5751631560686665,1.2349076951063864,0.584576383316652,0.5199805361508656,0.44320637528691215,0.479157837377145,0.5826138951119009,0.5135503927792111,0.6727522195968042,0.603241787554459,0.771500061415411,0.6530707723502257,0.6359400900553218,0.5785221323967658,0.6838970590560318,0.6433577747497942,0.6458141084523192,0.6460553445748719,1.0207100366120043,0.6735713896328184,0.7383481141423213,0.56968608219092,0.6011554238539518,0.5213389206061492,0.47728790071875404,0.5632532506260384,0.3877141239079106,0.4023217605143853,0.5099802162669531,0.34265526467671087,0.29195854544561056,0.2860599715231235,0.33826575291766664,0.3214279404748113,0.3827706841011161,0.42177000337003956,0.46575712987212914,0.6264771260048465,0.571052110547869,0.5157562445438462,0.4257213811474358,0.4789461773203672,0.35033369041506185,0.3260145444409889,0.3272980326563895,0.41393489011474954,0.3238084480099142,0.266371783120978,0.31657294434764494,0.35000908029090244,0.3426034010859882,0.37832679402882663,0.46980960520941956,0.45805706002130375,0.4978522710473639,0.6300530079740138,0.4638352080134403,0.428785321261085,0.45061939510490534,0.7404852013235604,0.7197220133943484,0.5445938841000907,0.42865598417218836,0.38768762730240236,0.38060220139980927,0.336501129631799,0.34929102457647954,0.35170071698630223,0.3815819916163076,0.5404015080076285,0.7518389168374163,1.3133103899745326,2.1184015536493606,1.5107376554172343,0.9349850640611063,0.6049733795937885,0.6064087594078249,0.4737294933415686,0.49810062975194397,0.34669012448881226,0.3566394072777714,0.34887168409171965,0.34817490538585344,0.4602691161267031,0.5699504020400072,0.5228362781239131,0.7782861048707616,0.7818223712163902,0.7585938878105404,0.518578700322272,0.4178030646757419,0.3764255116240818,0.34327767423319133,0.37235931380922593,0.4883932750537274,0.5208125710519703,0.725173296447455,0.48193646074229307,0.5417479297406355,0.47046611323760296,0.3540993166852259,0.3282633805716011,0.34557937030189956,0.41401080076147473,0.44183408118713835,0.4558772513976693,0.8565441707112111,1.7526708088141634,0.8671477423281237,0.8819970116087025,0.7201255026351179,0.8335998410050562,0.8570340764405738,0.5540793733317545,0.4551082355303754,0.4673252305643666,0.40009624119274106,0.43332633221985284,0.484528712889891,0.4018367157685859,0.46594716589978363,0.3957238221094806,0.4416054056678538,0.4457454993092958,0.4516134405811452,0.5717582804653584,0.5229046577682229,0.5618913300599058,0.5421462215000533,0.6297260400442787,0.647303311468827,0.6568843970604237,0.8084084502524103,0.8394799167953184,0.8343729630549848,1.0862250530824458,0.8667928759328157,0.6922750889328433,0.6973775941994479,0.6519341800720557,1.6626380522508268,0.86323231354421,1.5932778962668817,0.7343397248048955,0.6760237770957774,0.8104618074905957,0.8032682683044524,0.6829612091115231,0.5031920109910425,0.9041300162510214,0.6352122107182614,0.9521813144501144,0.5237379120109067,0.9098706991393114,0.8270708297241245,0.7561321638376421,1.1821629185102693,0.5209428483645387,0.5214706816781396,0.5956686306715987,0.728723683766492,0.8489767777284272,1.0646396040755906,0.9351362047040835,0.7455396054952426,0.8018592897687858,1.0364988012083254,0.8596367635070628,0.6901180094227102,0.9348940796232427,1.017381895761829,0.7238137187122181,0.7885321690690621,0.9678635380455718,0.9815806158663164,0.7886650231319533,0.8274598553874792,0.6989228592285139,0.6856377434223235,0.6329061314406795,0.5988855849586259,0.6663841795846198,0.5510885892714684,0.5471788867252448,0.5509910962054247,0.5827623932580243,0.5000163952282468,0.5528133806579535,0.7505759057125239,0.6585610996053397,0.6484515324004861,0.7205406966291796,1.2163773348130216,0.9184214991610611,0.8767881265059623,1.086042872685469,1.1796801122021545,1.358538848555937,1.008907606766554,0.7877230274012268,0.7081074465715659,1.0042955474781992,0.9012621677946255,0.9488635138824405,0.871967334153069,0.660727999304045,0.522946060410862,0.42324585622755867,0.3869973455074802,0.41147246076909966,0.3792698900192461,0.6733549054268155,1.217649693066402,0.39984934255937277,0.6051514473380182,0.8888456313055654,0.5872481410504113,0.648650794954544,0.8175885637344737,1.7879940382898263,3.716176920360084,4.416467848500655,4.247455204960679],[0.6116040493469872,0.3964559567145178,0.49004353337441114,0.3651074198976016,0.3828651841148309,0.4433977065897762,0.3214395038527637,0.39710865453627847,0.30256270553083875,0.2931047554408033,0.34069149062780035,0.5490430067542125,0.38694466000327504,0.3625628500321183,0.5739048364117759,0.5359855927135088,0.4680480027511098,0.549372320528173,0.6259103887368135,0.5582669852147958,0.6674690011068699,0.664068297177728,0.7590323317311624,1.0278137339185387,0.6986424954561208,0.7058858166865098,0.5363597416783329,0.45725767642449167,0.4816212272964191,0.5478729198648915,0.643684902378535,0.6858762085356823,0.8496985827414796,0.7595232072723909,0.6978511631928853,0.6067409409075236,0.6027854109221332,0.5052593007848003,0.4783048202636882,0.4965448404056646,0.645349773724907,0.559709530305916,0.5839769472682713,0.5656715345083514,0.7487966485926493,1.5894018919404673,1.4644457383851632,0.7177542168928878,1.7389608410066695,2.0617808301422254,1.1727989248701605,1.238073783001893,0.8077859882038452,0.678244950706171,1.14171032124926,0.7291184067542538,0.6922117937981871,0.7381712201569285,0.8254576200319349,1.0196138879010466,0.7272264889869844,0.764433238560587,0.7005960378133184,0.890708042707829,0.6934210107294637,0.6878724574129409,0.8423098720804181,0.6502033091134576,0.777796002876433,0.6922901724757581,0.9331919922892896,1.3973540354622451,0.9146430747478111,0.9451493484768653,0.68322279013587,1.2637782821133954,0.6966759850507112,0.7798386708180763,0.6779984929217041,0.6658667565203685,0.6620338953192372,0.7177198954059738,1.3778994562484561,0.7760827301581592,0.5913082025234625,0.5580654710529224,0.5670917241327597,0.7057214430821097,0.6174207633584872,0.8012757961423345,0.7203988084419468,0.8669176800396512,0.772226632543322,0.781835424801,0.6899560911973763,0.7871182879637061,0.7289054353895777,0.7706429061915281,0.7560957312375406,1.1642577540104817,0.7971031747804768,0.8293157910176466,0.6935895641328771,0.70951239451137,0.6503943559715226,0.5567272639544315,0.6676840012279908,0.4639817049944024,0.4411528684494062,0.5957314317183455,0.39536924471204515,0.33837240643962585,0.3217581387591841,0.37866769280955687,0.358731911763482,0.3914380592776159,0.4220752107721809,0.45467886138572633,0.6166066603778732,0.5365490497302061,0.4768167135655723,0.4033330902479963,0.46875019239325466,0.35598184106768677,0.33425458546026016,0.3374276424040804,0.47909833027988497,0.3771768779472931,0.33693624156630636,0.38277947149018954,0.35940577653294076,0.3896397389783426,0.36342503854250474,0.5273878431475062,0.42359055265430245,0.4343675906385343,0.5916474999353623,0.43189575320352874,0.439912413765064,0.4445168438079112,0.724890493584446,0.6975424190612951,0.5287360207192247,0.41371463636744116,0.3915482955623221,0.419346696433774,0.36849875896715134,0.39680136227072377,0.411452858288688,0.41921957984358893,0.5842028217066783,0.7664812938333112,1.3303166752045406,2.1834379130923014,1.5497188728935867,1.0148854114521582,0.6693878007068131,0.6777123248092534,0.5758723544519899,0.580036304620308,0.4187238727996421,0.4285807939766211,0.3649767617724169,0.39922091480603583,0.48512828754113047,0.5466722846240972,0.469153639818324,0.6533831609286668,0.653134339636073,0.6521841687307687,0.46480386093511156,0.40501216403057955,0.38656963084236595,0.39656821102837153,0.47804236859327065,0.5985406611666767,0.6222844538337868,0.8325639724473969,0.6227753201657981,0.6658204495030903,0.5056574499632789,0.45884535486971356,0.42715125065470194,0.4024907231019968,0.42164850917564783,0.47102581813576944,0.4831835584673194,0.8354852530744389,1.6138242411029375,0.7236023978656491,0.7087887594810934,0.6257556619550153,0.7102070832783643,0.73755969596031,0.48329141382037116,0.4586339457037731,0.46803881586745427,0.4050775916795007,0.44114915041066016,0.49904812728975356,0.4334490410580286,0.49337493291633394,0.4276293581183624,0.45623580256303187,0.45386606354877385,0.4663024277145476,0.5909906543658718,0.544683085410192,0.564983519569607,0.5892414486236893,0.6875851014180598,0.7105922935280314,0.7306605534609399,0.919097504202452,0.9334935069320112,0.9005554581758407,1.1454733322340764,0.9023938213266628,0.728012814423914,0.7457351750704709,0.6841567055287359,1.7610470171573933,0.8644045892763375,1.6414855507020498,0.7553473025707635,0.6858069802900039,0.806053079911033,0.8264389868410947,0.6408582931905458,0.5071028870376035,0.9568175097063898,0.6323008833968917,0.9163077043044887,0.5323281863797094,0.9778693203689554,0.7350032690529443,0.7224862933488452,1.1702660331989334,0.5313361875097583,0.536880695265113,0.6529501851481666,0.7893104883006306,0.8835509659699357,1.141610535181355,1.0027268918416163,0.7872671258076555,0.8358502474542214,1.0763676342426995,0.8744691071593073,0.6760954877937323,0.9192411507025722,0.9672147641673697,0.6992122406046116,0.7941842739158695,0.9818826159666527,0.9926648777680792,0.8172948657247286,0.8569944528811689,0.7326978645530023,0.7059242175518344,0.6370677391095819,0.6183066352029815,0.6886678655171404,0.5613875157216058,0.5625980831629049,0.5588387263821337,0.5964743626020276,0.5035765869814505,0.5613105394639921,0.735613265651515,0.6434894027213837,0.6217132394599534,0.6885847669647723,1.1386430226152473,0.8846047504922513,0.8547614220638365,1.0530323893309117,1.1484420943932518,1.3301245955677823,1.0117075004527136,0.8203640693708568,0.7608484239540341,1.021060283570892,0.8943990554205078,0.9130099486184641,0.8508196728244232,0.6326055021687508,0.5123256104558787,0.42695372991261366,0.39235711206433704,0.4405810317077797,0.4271177663452945,0.7565665327771091,1.2545778568462558,0.43298999336074123,0.700094073086764,1.0442934226640652,0.6043457861041228,0.7161482256558398,0.9610349907973155,2.1139226724061935,3.974360723447416,4.97137397089136,5.1542812886324025],[0.5467815307000028,0.3709031620760091,0.42175579532637814,0.3459916848018608,0.4005437144675404,0.39536056293237554,0.289815848735234,0.3487930009757776,0.3037202006234288,0.30449601919577146,0.3260284399683641,0.5091564544826698,0.34565268847786607,0.3700956785709146,0.49278246942632525,0.45992141695161515,0.46467468695785913,0.532844437943347,0.645033130772522,0.5606064916522567,0.7262578224274501,0.6799562374232901,0.8333614657130501,1.1407726789547,0.7774525253801925,0.7767565212893558,0.5720843749251291,0.47512548035225083,0.44908455556844146,0.4697088555921958,0.5706600140614443,0.5640137695744377,0.7288358067133136,0.6531215646067288,0.5723837784300252,0.5143097294948299,0.4868054049907839,0.48050020045467046,0.45131993114828717,0.4596899581009521,0.7440613135937701,0.5845536333329651,0.6217595164217119,0.634146916271486,0.8977523675223632,1.74740595832996,1.721967433204552,0.8000962084647569,1.8115419719009513,2.165868663372544,1.3169094253133629,1.2309855896794046,0.8045095859226088,0.7695736163624487,1.0109791022361976,0.6697642284513281,0.6703939508596255,0.6963272493688014,0.7833159991423557,1.097658972109875,0.7335780270078931,0.7119727822788303,0.6383343709506346,0.8698606025955462,0.7041973540450345,0.6724098898760753,0.8606478825745494,0.6470977493065978,0.8031808086259263,0.6916438167279481,0.90724930867555,1.3272894817241494,0.8684170771551007,0.9598423961041279,0.672065572340087,1.2355883160252887,0.6428862221667726,0.6962905283744618,0.5946398712344618,0.593412733105937,0.5180150786863678,0.5817813813180804,1.2726392796348278,0.5960894640010206,0.5751631728147772,0.4523450502966106,0.5095133639655375,0.5708125972699186,0.5353792949929801,0.7161470098030583,0.6428311196758263,0.8287763958444541,0.7142597194651552,0.6925640546318417,0.6120374486125993,0.7430662997354378,0.6542764813072128,0.6667828128044829,0.6418137738823327,1.029381881138102,0.6477247090464886,0.6598616209425346,0.5603143939255952,0.5566831578032466,0.4856844967892202,0.44178142387846675,0.5323173811959122,0.37326417193748324,0.38986614128534275,0.5244222322851,0.31754589691629903,0.2898552040619769,0.2973762324157849,0.35662021951844414,0.34786595839326934,0.43640436869023985,0.4706303222214884,0.5258116642659745,0.714478339662656,0.5968884171554427,0.5607673389757455,0.442272732453683,0.5113763151381182,0.3977257078873944,0.33735252768361484,0.36383884093033386,0.42982682289955504,0.3486382451634712,0.3060802765438558,0.35702376531539926,0.4126721652136237,0.39646826160602194,0.43252763965249913,0.46289291495760354,0.5250360260831929,0.5439861238063023,0.6493812538585054,0.5190757105771882,0.4606805375785946,0.493291001271675,0.7792208228654318,0.8012896494975426,0.6035034669489385,0.4824407875390639,0.4339013844259683,0.4057207852399048,0.3654473427951712,0.35897372902538766,0.35002237072003956,0.3665006243003753,0.5033546419613318,0.7283353774333386,1.2230802914171828,2.098736741877838,1.5297052430034668,0.8963008312832258,0.573349438941803,0.5612548566132317,0.4418141016487385,0.451892387874465,0.37409962762571897,0.3775456536903119,0.4083621881163303,0.3930038004530412,0.49110387957349044,0.6139772696129678,0.5874855403767726,0.8217039678682764,0.8010126052713681,0.7741648864713686,0.5731806129975651,0.47963966388486107,0.4167172228364671,0.36860884355214324,0.3794896028446885,0.4631232104973908,0.5024161946168885,0.7034642707653871,0.49620808189169036,0.5074684060287842,0.4905237510454873,0.3416543467960164,0.34263465312412056,0.3887340747357865,0.46639542346001384,0.4789466114492574,0.5084253412743909,0.9458548886924428,1.6538128903018556,0.9445934597522776,0.9705459821073207,0.7726343049933093,0.8952750749484926,0.8977211247941737,0.6223175297716218,0.507643202675636,0.5308073429182032,0.44082833871717664,0.44696835372869,0.4814150010514779,0.3781404351135456,0.4431975336222369,0.37979241681292614,0.43115078486025976,0.438463021243887,0.44595652861026064,0.5597783458614086,0.5148698577310575,0.5438405764554706,0.5411459371960721,0.6142185994701,0.6338730537904412,0.6553721918813847,0.7876000203352646,0.8130418447734366,0.8032195838267425,1.0699328001049948,0.82462529636689,0.6652957989621523,0.6700297692855047,0.6146006348930587,1.6150883653798398,0.8338836159590903,1.606792884822469,0.7376542272116217,0.6414908384116075,0.7486912414714275,0.7479104660660173,0.630427140476542,0.4642886679569072,0.8603980512732917,0.6481296199162075,0.9444197927822591,0.5107014924873958,0.9320954470686471,0.8037325392681621,0.7415529767400769,1.1728848218806431,0.4935817161748841,0.5405411929421372,0.6070867279188996,0.7242538934530101,0.8409453410935143,1.0418504079928979,0.9177436710597335,0.7370867093807117,0.7705075239256816,0.9971073976625984,0.8181804895295299,0.65835145826586,0.8891902973620512,0.9614889677140729,0.6913092541231058,0.7583597871784598,0.9327022640309176,0.9740807069233729,0.7732116566704708,0.8079388300491976,0.6768761218404077,0.659154142719111,0.6069574323167375,0.5784174470027751,0.6396602097313141,0.530280960837943,0.5211157917137078,0.5233694439113126,0.5569079861690525,0.477845850135457,0.5328534713938476,0.7232975266898748,0.6428353609946827,0.6297867844188983,0.7050573858303613,1.2278605047461295,0.9151353898258023,0.8572799165932647,1.0893973886467925,1.1764422693095293,1.298968751575244,0.9642612260878591,0.7495873312378458,0.6694995538268299,0.9573428938051768,0.8584260342903796,0.9106260070950836,0.8369886619926293,0.6346556793794946,0.5253622816293737,0.42520278222171715,0.4020264859554793,0.4065932070014307,0.3904926490366142,0.6981947718904452,1.202534534547995,0.44002045926075223,0.6322533287910067,0.9782051598169432,0.6013461648899405,0.6690617006436198,0.8681774129597852,1.9189349534065803,3.8089532536359716,4.524569370746244,4.477655087833604],[0.5911011710867288,0.42057084584622656,0.4785739838679235,0.3929069169455842,0.43581864180904945,0.46262483879007366,0.34529086673707676,0.39620891806617997,0.3438958386156206,0.36320454709743505,0.42860447710588084,0.6258821979641348,0.4589202231896051,0.43754987237244547,0.6453638280104886,0.6369627977854649,0.5622920715039161,0.6793705356363817,0.7502684147526737,0.6970457395493994,0.8664766020711266,0.823463094540841,0.9741885475040372,1.2794497516159409,0.8715055434404918,0.8670105159234374,0.6741626871937197,0.5752844873817253,0.5919791484623275,0.6267965715112322,0.7648069222245858,0.7576703799517422,0.9546143860808719,0.8521885131250275,0.7818368838457392,0.7215850717626298,0.6658906318852011,0.6145183483618226,0.5993704830736101,0.6155964250908281,0.826999863846192,0.683397353496701,0.7263467636324831,0.7199334925758395,0.9429682435945462,1.7476729521928822,1.6877375270984343,0.8372376609543489,1.789779627748786,2.0304556076688063,1.309158270393331,1.2471596863293588,0.8583057176119956,0.8629103116699379,1.098377647672779,0.7890900701826944,0.7844048412961133,0.8446088372453012,0.9227462363669487,1.1961247311671592,0.8887671683458702,0.877293020756475,0.8420478101456901,0.9950045648170404,0.8510611473405697,0.8323924667401907,0.9791205561553284,0.7849564587753732,0.9030268098437709,0.8114786516315615,0.9770367764737937,1.3627297002032568,0.9755559019504928,1.1324044521479766,0.8378953309047906,1.3635969662036866,0.8326292060542463,0.9119898449125262,0.8050019493194577,0.7899911707998493,0.7426119789127296,0.7645293824854477,1.367078018363875,0.7560120553217906,0.7026023421910377,0.631778407428772,0.6821429821976184,0.7580542614843356,0.7513256898140708,0.9067687330490861,0.8514942577006097,1.026276961899755,0.9354823334472819,0.921795535068629,0.8152503555755894,0.9230225750391838,0.823671926181907,0.8455084962576819,0.7940024161575655,1.1425828582156636,0.8029074494668116,0.7797793130258368,0.6990387778235191,0.6630840385096525,0.6212075827168207,0.5206316727953416,0.6265066898210829,0.43229437876303106,0.40728845909959455,0.5855479523886458,0.3713840240891265,0.36039674730058674,0.3581266835824597,0.40196471405517864,0.40823715187909865,0.4923723143176019,0.5366235072219333,0.6033296951531637,0.7801258724165968,0.6748472751258069,0.6216695263647453,0.5116656890164979,0.5795433328552041,0.4387427872935788,0.3829586824959636,0.407778195314572,0.4214819079158444,0.38749705054538014,0.3387459013540403,0.4203295492352507,0.44173067893109663,0.4248171388481725,0.4801378530311552,0.5291636770411813,0.561533840716418,0.5766433695268378,0.6493168719909268,0.5418961471343269,0.5239804040590249,0.5659020705252159,0.8657185700851081,0.8957713084842754,0.6805224590197754,0.5528256214759879,0.5159651285582828,0.5118439734252891,0.4596311348943963,0.4482001177149079,0.4601659019207289,0.4338180245556624,0.5488609344975086,0.7578708703581449,1.2198566581989094,2.1125372926538715,1.536892394030707,0.9557326057205849,0.6600734571955884,0.6329169861127157,0.595269669500726,0.537434817255149,0.48118774955793475,0.49442520848615046,0.48583980684077005,0.5079507721494115,0.5899437451103338,0.676109184707207,0.6346004454435885,0.8624745010820368,0.8322722221870451,0.8055908631788815,0.6132028643870019,0.5238425444682009,0.49429829784061324,0.47918782253563813,0.5189003245495069,0.6169006246671405,0.655639727577706,0.8638178701580584,0.6549968120226034,0.6574566580438524,0.5623442280256913,0.46379748251737984,0.460320750125004,0.48901763275969745,0.5499569746005952,0.5759581291357536,0.5923295233481394,1.011257851910002,1.5141688943532532,0.9502871605430785,0.9659579522133117,0.8323327580125399,0.9361166178029275,0.9285718542971833,0.6583585760069172,0.5591872191715334,0.56627644241215,0.462438497922236,0.4714173805180642,0.5193220555687239,0.423678996255686,0.4553092217398252,0.40604337968194293,0.47296078899966953,0.4697028831532929,0.48400160567871214,0.6038756853282803,0.5541604894030513,0.5747250591110151,0.5861716989181867,0.6618294535089766,0.6783609914310182,0.6934776389536405,0.8447928667293817,0.8676592212742649,0.8569243927930227,1.112134162933443,0.8776744110423143,0.708554594374969,0.7169719566577694,0.6507542186588965,1.647430981125374,0.8416138038189237,1.6345602381264812,0.7286368116122909,0.6526253295513343,0.779366210166335,0.7982465246726376,0.6574220366499013,0.49777142591907614,0.8891384645845786,0.6442244268454725,0.9222144486917231,0.5236226355856934,0.9809795758239851,0.8009250632917063,0.7687823283133324,1.2067727759940619,0.5302105257813031,0.5404124231207348,0.6303022061261935,0.7546444678305275,0.8408905841760536,1.048977475996789,0.919708630049536,0.7381924960525496,0.7885261906865882,1.0105097701198396,0.811258465636643,0.6754662635270425,0.9011696050097712,0.9666608598411477,0.7093419793155941,0.7840277961711415,0.9608572781583957,0.9979395646906053,0.8138117090000305,0.8474276272806603,0.714534830159216,0.7007072966230387,0.6287301090386519,0.5973561276844158,0.6876608809861287,0.5698897748409939,0.539575376700353,0.5555743232244023,0.5954322473082049,0.5177832216260088,0.5700221799256872,0.7591194248514032,0.6718735873165446,0.6412393332300774,0.7263497638389685,1.2202443296962453,0.9266464982244018,0.882116821029066,1.1194696758782383,1.2279181133680586,1.3238183811521054,1.006588278460393,0.7979504219969334,0.7213878632420586,1.0058400276455106,0.8902188725416486,0.9335226321840345,0.8591262713341722,0.6727063659703586,0.5588427614224849,0.45843224102779817,0.4380995299235939,0.432323226532672,0.4571463967183005,0.7855554237795741,1.2601817290997026,0.49853751941454355,0.7055791346349091,1.0726877023714199,0.6509115568696602,0.726764202338999,0.924209968555358,1.9875503250177096,3.8672660898476834,4.70939680684865,4.759922558161319],[0.5796460848131132,0.3889190159614624,0.4560238453304546,0.361119918085677,0.39047823001082277,0.4132962524212116,0.3015710725869738,0.39022293637704164,0.31470677545636644,0.32622084359792813,0.3692036003342922,0.5612626912286057,0.3887392946139713,0.3813228126224248,0.5527816682509585,0.5414674544688435,0.4807067557319737,0.5794995289688267,0.6866946767248578,0.602934994446327,0.7927886802124752,0.740109572355072,0.9109559078711565,1.2170611143864594,0.7999195503719326,0.8022363836727932,0.5993274036511124,0.5020966773843426,0.49869700292644226,0.5484800650232555,0.6673977619516215,0.6960480059697495,0.9043151967720391,0.8156654258236956,0.7185816096191501,0.6218508978581495,0.5948512298784085,0.5180121605371811,0.49623056816406724,0.5109207580364565,0.7429626323335524,0.5912091628463576,0.638078492545379,0.6338851200571434,0.8847147135455801,1.7380247709264132,1.6513078105739376,0.7731546318174978,1.7776256753667012,2.03132767864785,1.2661859883741533,1.2456831476280539,0.8299619987907146,0.7902162857975709,1.1302706141424943,0.7526657056538426,0.7253483955939617,0.7957172861022451,0.885582522935773,1.0787153572414263,0.7833683802793492,0.7921795037215839,0.7407657752213563,0.9556990194788294,0.7674895334239898,0.7481787301817201,0.9159489000172883,0.6913340352040088,0.8519768715135936,0.7199190083136294,0.940358168073641,1.3998014683206494,0.9018659089126706,1.0513073026964068,0.7352957567332177,1.3525726767836235,0.7390336262482696,0.8406044018214025,0.731958740968487,0.7182424771060045,0.6839483639963699,0.7115473233281602,1.3813099090467964,0.744281691652612,0.6115380506776001,0.5647342975089595,0.5879624117577026,0.7005444650891571,0.6467281913701981,0.8597331911833059,0.7641463238655042,0.9542736653194641,0.8477689245643774,0.8570028522062697,0.7305005797366239,0.8462490630251195,0.7232324860483493,0.7974003355858826,0.7653971909154069,1.1917794222599494,0.7959519441768759,0.8293486721608292,0.7009912411819861,0.6859006823879537,0.6210949072470253,0.5452195542914774,0.6548296674786523,0.4227820023592655,0.42340910045226654,0.5993731756597462,0.38394207470770975,0.33492036462573394,0.3145880676456472,0.39082653432116327,0.3889567111752165,0.4507971137206552,0.4880904221124048,0.5693639681165458,0.7508266395577369,0.6227582533109552,0.5783980736634737,0.4693589039094174,0.5473235347923319,0.404605915125019,0.35815247204166833,0.36105346659740306,0.45457140367730925,0.3851875963805011,0.3300215674521815,0.39971717904619414,0.39042200653690173,0.3971420901720414,0.4319894772098223,0.5252604299980066,0.5183979640796539,0.5312149210528866,0.6367037625682592,0.504255169761633,0.4779281675861853,0.5160118841639268,0.8431444962887739,0.8519210563432837,0.6272424390245799,0.5040348913905132,0.4492379826241069,0.4375115063184979,0.3937181883090533,0.4017497191871939,0.418290844690046,0.4173554014544825,0.5695278061399744,0.7797108954124599,1.3386502407369658,2.219694775424506,1.5515929304622598,1.030005637897128,0.6715344603307566,0.6651922584264386,0.5701216979999224,0.5536880587821906,0.4336448815217211,0.42675335525427543,0.42267808436850995,0.422470080771336,0.5315945733685439,0.6258836099493041,0.5850300128208454,0.8257277561718451,0.8036026337199459,0.7871857299988597,0.5819524932415739,0.4807726663122117,0.44187083434206786,0.4161341616165728,0.4685560841174998,0.5860623897187203,0.6046851372676564,0.8393628233029691,0.6090078212941032,0.6576045256365878,0.5135206698689759,0.44192445430936067,0.4158615240140174,0.4249136667013947,0.48089047967014664,0.4928316618353664,0.5021429359991594,0.945078982532342,1.5377026899148352,0.8709274722018995,0.8696805516898473,0.735276881538082,0.8454625495911325,0.858969107810576,0.5884015186802721,0.4920612601504621,0.48937387533993465,0.4136176809447038,0.43065474429238093,0.48518409610905694,0.416470610996792,0.49719975673113165,0.4068098810265299,0.4416556681748313,0.46379186865839017,0.47302682212329783,0.5622956260115115,0.5361657500993229,0.5889945541383096,0.5657351084304434,0.6568359577097316,0.6886513271918053,0.6944083692364044,0.8450478287810161,0.8873897480096655,0.8602681565722784,1.1427952046619032,0.8922688016408397,0.717172091725348,0.724963407516868,0.6833804197158618,1.7222552148801016,0.8856015269415761,1.6294106925199963,0.7638966627736031,0.7196715459117531,0.8407444799625649,0.8400191584756538,0.6863491221247539,0.5398378109860694,0.9519860785558923,0.6472269739808711,0.9349684501130016,0.5392569593619294,0.9604056797437954,0.772449490935139,0.7284333708598735,1.1706965017971183,0.5150696230940957,0.5631711626644671,0.6667899765416002,0.8016407743156245,0.9150012469136926,1.172892990926832,1.0438441452464695,0.8192956474192852,0.8747528210223711,1.120117347335475,0.9208154471054445,0.7277749551367346,0.988496914256693,1.0451608502070553,0.7529855640366031,0.8483034149992555,1.0346895339078592,0.9926639785328769,0.8445414857933313,0.899269130227213,0.7699906420541103,0.7526027319397186,0.6815848961036152,0.6527079985397672,0.7200740116659836,0.5779858463424158,0.5658021317090336,0.5683875950211311,0.6043740673313966,0.5098686924150209,0.5607319556935783,0.7569388482098776,0.6641598018610835,0.6284930522185085,0.7098748086745669,1.2258587247014494,0.9046572590632183,0.8731253394143266,1.0946082310983813,1.2099605440510706,1.395113889205119,1.0273935397885128,0.788248018089335,0.7132705208303479,0.9947515957214313,0.9045848323097287,0.9560745068919668,0.8638894643787091,0.6393495296492494,0.515299729721352,0.4145379312416171,0.398945636397226,0.42031347414472736,0.4377568905390119,0.7548757370402394,1.264846277241264,0.45120149441687096,0.6746495639076598,0.9763413301313438,0.6264003662877102,0.6758658146012633,0.8801930951260427,1.8437956411786005,3.7947633535210312,4.844850097233323,4.8085510978687855],[0.558567020897641,0.3644024051605027,0.4406377982546777,0.35979073505808806,0.39476900002406856,0.404027476613792,0.28673164366768344,0.3714126297877874,0.2883063184391417,0.28444176368712687,0.3311165340995696,0.5167048484577453,0.3462848251472681,0.35635098804659465,0.5314513666760071,0.48967168412338963,0.4705702019171556,0.5513674636089823,0.667241206175795,0.5746832599941514,0.7435960167319833,0.7055463399101494,0.8414266228425996,1.175679792096363,0.80427850344577,0.8101310796992206,0.5921963025537519,0.4896383332084509,0.463714688634932,0.49913110936068544,0.6038769956222523,0.6259962890327767,0.8047146076498857,0.7112787013518699,0.6341072129880253,0.5588739551611343,0.5316732934870793,0.4810110150351711,0.4598448263031181,0.4652998146489514,0.7397957826214386,0.5832864717135734,0.6143603740930761,0.6284258581003604,0.8971316945234205,1.711058653322534,1.6776844628912755,0.788833261757221,1.7663415650192424,2.10777511754685,1.2623190923147165,1.1960242584151846,0.7791934201170236,0.7312802517053861,1.046124493361977,0.6837945806725517,0.6855623876303613,0.7160107622113177,0.8087416644479887,1.097002432349089,0.7576061414833904,0.7483487466377736,0.6759061034900663,0.9022327408904872,0.729194866403164,0.696093347990965,0.8801667934052811,0.6526838206689783,0.8177383279087892,0.6953359538727187,0.9007272699537864,1.3383931306895303,0.8758962257077813,0.9964718800791547,0.6833276016697986,1.2560868614903196,0.6807570878355328,0.7533810286712609,0.651198016882382,0.641604932495122,0.5915035211054711,0.6261463327343652,1.3001232703107246,0.6468120461308892,0.5646376249171965,0.4827394770861758,0.5253977654847491,0.6322575131661716,0.5838461049546312,0.7665832254097751,0.6861012780927771,0.8573775932362431,0.7590043644591956,0.7562369182223353,0.6511627631544394,0.7733558373659442,0.6787200178146383,0.7226762962089951,0.7005524792918904,1.1302211860182836,0.7354695828482437,0.7795551825551892,0.6285786064654949,0.6306037361165658,0.5548583346059806,0.5030252772865078,0.6146682883788215,0.4190427188820388,0.42576153429912444,0.5679029417106715,0.36788621909210206,0.31010922623219667,0.3034353322063675,0.36034876529211535,0.3528799246826668,0.4373560575893224,0.47554092455384783,0.5558619207653147,0.7376853278866385,0.6178471975594234,0.5779949254913535,0.4587664943571349,0.5290895032349,0.4009241134018944,0.35720789932399216,0.36348293046302005,0.4385306372210939,0.3596830107196421,0.3067272046509054,0.35979050729075474,0.39030791090413497,0.3874047517074855,0.4052803110865527,0.47319872308209354,0.49411287031949297,0.5238023894779935,0.6462574417464333,0.5102529985323953,0.4742367766607846,0.5070489464916881,0.8299549015918092,0.8401693713165462,0.6313909929590192,0.494553006183315,0.43201104122828143,0.4075057365723349,0.36545346150663455,0.35525923556285266,0.3656811822400706,0.38711012544566314,0.5471255553949438,0.7587460843762515,1.3660452447416775,2.237334726710865,1.5538624186939654,0.9935971701650486,0.6329362901333563,0.6229166168130673,0.49393906778485736,0.5008026428955158,0.3680424783797197,0.36834874845174703,0.39929181883264353,0.3858155406457,0.5047053001574572,0.6202648630783449,0.5904048210365341,0.8476075385691503,0.8304394894403448,0.8097549484433622,0.5740315477122224,0.46446048523048544,0.405259424432808,0.36933505881083833,0.39887003144509814,0.5044071161824255,0.5372675834945744,0.7525984128403229,0.5263734750863579,0.5690591740371476,0.47490478177155665,0.3651645039110465,0.35135076562714324,0.3790016194334404,0.4518225052008751,0.47558270625947047,0.49042949441169753,0.9362938449998485,1.626280050010984,0.9255767938142705,0.9435947496463676,0.7638333102372185,0.8731121939419473,0.8832916019532462,0.5907885105371175,0.47997319572653424,0.5062628561323477,0.42759664182554286,0.45823638871645694,0.48219573429041573,0.4145212098283722,0.4846928203010733,0.40622364981916154,0.4582954498329702,0.47226984992277393,0.47261013106313104,0.5914037484293325,0.5488063853799529,0.579010495738298,0.5589730890953141,0.6540582806515399,0.6758613221086764,0.6741082814064489,0.8266467636075677,0.8733469941167886,0.8579989665368195,1.1242434116017395,0.9085528930735748,0.7261206884175254,0.7232142044137502,0.6896518199974555,1.675264426226674,0.9124814927249376,1.6143295417805743,0.7450867823462689,0.7028820352333309,0.8250334922491865,0.8165099590156072,0.6985196927066154,0.5244257157617784,0.9520905735012104,0.6427554374607177,0.9538379530345054,0.5531479890868597,0.9430892963945048,0.8275069086319048,0.7643953563249409,1.1650331868054542,0.5317480021519649,0.5318920366378385,0.6324058835863673,0.7653815067946447,0.8742789616659895,1.137238985234816,0.9988852740062277,0.7788701997434758,0.8370813709848219,1.0910451662538079,0.8919877625687747,0.713831887384987,0.9721245041197333,1.0452877706812869,0.7487383711485485,0.8256982618906696,1.0075092681698408,0.9640498893720049,0.8228851619414935,0.8824776440843687,0.7503697330290364,0.7318553010844149,0.6674929927881074,0.6366930064393957,0.7100525704533134,0.5769892095447493,0.5529334852705191,0.5774889760751062,0.6161532560155224,0.5179327326592681,0.5726898501087875,0.7898833143033317,0.6933901411882732,0.6659834195327962,0.7515017734858526,1.262381211985905,0.9463708881478138,0.9087094245591607,1.1297368180087344,1.2436969569469285,1.4349125568848293,1.058899611237217,0.8107397216087786,0.7237854117177719,1.0228280772393705,0.9412794630553445,1.0032989174736604,0.90754091074023,0.6810069141364872,0.5430354645651994,0.4364067840751069,0.4132826484083441,0.4282244288204042,0.40803516495814623,0.6945577257085486,1.240595350516658,0.4141035318556205,0.6242954940937684,0.8904684769333833,0.6128740171381336,0.6436669150868113,0.8095156046558588,1.6866762158881867,3.685495607663226,4.661302195118109,4.463511043602513],[0.5757034467093654,0.35129393302397494,0.42474732584358954,0.34087807157284433,0.3826925926207447,0.39238893500238653,0.28009365509743084,0.4342085764538651,0.32049949972093433,0.2886627793892108,0.37284880792945624,0.5764956024212011,0.3824974796013345,0.35011818380640575,0.559812494335995,0.5080836553972935,0.4579223958996577,0.5183740708839804,0.5935524038402338,0.5220290988020412,0.6515443300873626,0.6325569672644253,0.7448986952624567,1.0255433578736328,0.705453700879103,0.7096756024717724,0.5063285197873117,0.43698267206711,0.4467389863875978,0.5076122352983936,0.5968148592115231,0.6477017991386893,0.7990099608780438,0.7223955207111529,0.6503929528847451,0.5486349904061248,0.559252390421092,0.4613857680364107,0.41891574747415045,0.4262236982681868,0.6314278060256575,0.5301475509993249,0.5455337562491405,0.5487834742131702,0.8020808726447394,1.634939893438731,1.5903495705923025,0.7179502340415772,1.7351944294990123,2.137367079768066,1.1869012244053003,1.2182145321400513,0.7799844770268498,0.6502957105938667,1.091768638765796,0.6661366162325012,0.62605139263406,0.6868991238285193,0.7825188794227074,1.0066062068308945,0.6824650760531276,0.7117996380830791,0.6375838726211772,0.8515188890434829,0.659309693120573,0.6589498971764964,0.8147675890929982,0.6167031791495371,0.7769156141151127,0.6723288360247467,0.9083613336360433,1.3512882281568614,0.8771710309117445,0.9313592024231613,0.6516017256545114,1.244410333661677,0.6439981878765288,0.7251499740239805,0.6276025462588325,0.6178471825085711,0.6108213185779966,0.6564576244245234,1.3200958133487724,0.7057369811666254,0.5339485648357812,0.5022391375880754,0.5083389618297953,0.6670071561028698,0.562736831905049,0.7638654990638327,0.6672518764699176,0.8257731773727858,0.727297981326386,0.7422918778605915,0.6532989339433783,0.7583891536853737,0.6996166788314077,0.7357399535056451,0.7453384479937409,1.1743438125535643,0.7938334396951621,0.8797487422580779,0.681676226651771,0.7161764620467561,0.6292637755684378,0.5614101837559357,0.677200353324032,0.4839581940369853,0.498661282923974,0.6163319451443724,0.440877360138257,0.35994769863220655,0.33144712334252935,0.36092541071291384,0.35069173787692576,0.3878388245407206,0.4160945760936354,0.46658272497701603,0.635327618710414,0.553446180258874,0.4987341721067408,0.4097043181209642,0.471312930004697,0.3457928348198834,0.33117431503669,0.3219774788889426,0.47035185735607976,0.37076374694425135,0.3251668474289473,0.3739435898164476,0.3621877302400335,0.3817216350797992,0.37588477298818945,0.5229103719894609,0.449085310251285,0.4784722076824776,0.6282885989473417,0.443832541275835,0.41736105421226444,0.4426283214788164,0.7469152219404386,0.7173623615381559,0.5329955924285401,0.41593721296928465,0.3707757229621449,0.38077410881451346,0.3440246797026412,0.3768916504124388,0.4073055457257442,0.43659889536101204,0.6336397882965372,0.8207417740535076,1.4755457684890725,2.267933302592247,1.5709835437906514,1.0731703674271449,0.7087562243319113,0.7166595603281454,0.561294152665061,0.5976418200729459,0.3833082953751227,0.3917203639025213,0.3385696883436249,0.35571075278120495,0.45335725310007136,0.5499295107024665,0.5068999068335782,0.762213036224318,0.7662575069903397,0.7477673172827446,0.5046299455227131,0.4173601806964699,0.36479748933180883,0.3772836615611506,0.4380675184845235,0.5707909067847693,0.601538012075693,0.8132027862361564,0.5779913464655062,0.6390829560865943,0.49979321753706374,0.43149887410956966,0.38747854498215684,0.364002015237222,0.4041323816145836,0.42683242872753896,0.4366265999802305,0.8285046464714794,1.7205902995658315,0.7962184701337454,0.807330822049448,0.647332669254543,0.7730838517977424,0.811088862876778,0.5211255291951303,0.4396082476950332,0.45616437314130964,0.39579009618413086,0.4252374931231907,0.4799231625355355,0.4453617350796407,0.5475368002447749,0.4480101837398551,0.4545434299780058,0.4853194396349828,0.4808869187280059,0.5752577417058623,0.5388074128423721,0.5941069609712959,0.553008357373398,0.6560161518620438,0.6803947989134944,0.6730140583167665,0.8572124279819007,0.8992254643980854,0.8779189720948459,1.1435498575473662,0.9256130085807269,0.7356813041568995,0.7377772624583573,0.7049876734403554,1.751017754129434,0.9284731367646318,1.611833297395385,0.748224217344499,0.7467473903931092,0.8893086581897077,0.8786386330400175,0.7288186810004613,0.5610887619643948,1.0109091481154389,0.6570950319741878,0.9658855855647784,0.5710824986865898,0.9223394646805728,0.7865989314673952,0.7184207904508105,1.1341018679655306,0.5183345301909383,0.5631125000635341,0.6759275914071406,0.8178350817279464,0.9403137768512942,1.213683022969794,1.0831917083595988,0.8498437705141021,0.9121981312158525,1.1768341751240665,0.9837459988422825,0.7683237983583053,1.0375202697833976,1.109356560689261,0.7882340565055662,0.8643643339938724,1.045485789377966,0.9711350487898147,0.828934575910973,0.8999208703761,0.7714522531694237,0.7642804898488915,0.7135435307524131,0.679803125205099,0.7421120228612892,0.5935609545677948,0.580176526660893,0.5903073796968138,0.6198045168290369,0.5132595252746208,0.5677396804938407,0.7720407003375508,0.6702817154897296,0.6321571190893239,0.7138271067173413,1.2147881902438802,0.9033805013778333,0.886494057209373,1.0953020024058102,1.2241155008788036,1.4636425715893704,1.0693293513519215,0.8181737983994376,0.7356950606598973,1.0265818796879136,0.9321727262750812,0.9819797941576907,0.8674462799758001,0.6536211636928565,0.5076625502089346,0.418072508762255,0.3975270826481655,0.4467727499656032,0.43137195966676983,0.6752220965703031,1.2724126799166444,0.4124148184773717,0.6051173940892383,0.8266127915869614,0.6535038275862101,0.6131560195770501,0.7852702716340897,1.6211793380733392,3.6390174338689243,4.701536324650934,4.474796586747289],[0.5074009039815891,0.4004517309299787,0.4767447555577144,0.3461033407960427,0.4082985328009358,0.4246119759733819,0.28746024703402445,0.37883742159114325,0.3228681474173035,0.3008555006970861,0.3615017093776836,0.5276419284197277,0.3503910734402452,0.36182134481694267,0.5111193712423436,0.4620527419849332,0.45857304807825333,0.4965164018592614,0.593848128341066,0.5171630365384696,0.6727228500704825,0.6357236376102398,0.7986058989716507,1.148161831465631,0.7781401018609164,0.7684790765699719,0.5353922080679581,0.44741450299211555,0.4249622368484413,0.4563325310351875,0.5522268319049508,0.5682581532133041,0.7308669084762247,0.6572260203642579,0.566398637432944,0.492274092866398,0.4871244715670066,0.45547071925436455,0.41147886933105843,0.41527574696950054,0.701525098419223,0.5363759778405651,0.5664781186384745,0.6013178840566068,0.9011314355844077,1.7067190203770335,1.7525521206557386,0.7924381697079323,1.75521916651685,2.1848850297235907,1.273228126572658,1.1914494928969357,0.7834921049812001,0.7184283533130328,1.0117778123003078,0.6298911285719212,0.6290223532062162,0.6575009761337911,0.7349379034158582,1.065776330275766,0.6785049522150244,0.6683610400813415,0.603970480780566,0.824676317050969,0.6576258915336014,0.6389634354249623,0.8117422192032238,0.6036689383255083,0.7480384038556647,0.668504063743687,0.8419110160932304,1.249300770311318,0.849993039905907,0.9245115544010586,0.651697797908743,1.2506242397294938,0.6230448616062285,0.6787211851376322,0.573434824015667,0.5547593518135279,0.5089523315243412,0.5547905186786787,1.2131969398358309,0.5702747456349304,0.5549915183993678,0.42512912838716094,0.46887223789429,0.5806336909644894,0.5044213860828501,0.7060127713035057,0.6280150715235971,0.8046545942879215,0.7073829986421105,0.6939815134115084,0.608305916155443,0.7447544174315369,0.6696835241121964,0.6863373371423868,0.6784082104449132,1.0820083932718354,0.6985871490489214,0.7609930292831087,0.5729363836866446,0.600049723451335,0.5189441694367789,0.46927232709796185,0.5680235539273516,0.40412702439962717,0.4248314590072629,0.5192418741973271,0.3602860109544697,0.29901916274825396,0.2972657108295014,0.36032263160002687,0.3439474917666105,0.4161613144636706,0.44090868049738,0.521872265253323,0.6920681710304589,0.5864617152229538,0.5470956114519766,0.4476973661105093,0.5027912057770589,0.37829939317201533,0.3604197768821693,0.3736391758692584,0.4085587110854436,0.3643455654872994,0.30619488270564543,0.34911075728722263,0.4264876219221886,0.40019266836239004,0.4495877670056731,0.4640948377985573,0.5358985181095284,0.5808538823204337,0.6873595589641048,0.5398767831459235,0.48340530965338524,0.5157835192798377,0.810164950127691,0.8053958424948795,0.6004908416796567,0.47341838092115057,0.41624921750149885,0.383851634538003,0.34721272421821503,0.3409777791157564,0.34311144193282145,0.3760952135772497,0.5408495124244364,0.7626622683158321,1.3566324588172047,2.176187417469934,1.5451818351180642,0.9711783628561529,0.6191585062096711,0.613798542515829,0.46473064090633714,0.4871081264232946,0.35422291465909617,0.3636572668945711,0.39176755095446353,0.37397048730159066,0.4824188806962805,0.6410669586119545,0.623291147378499,0.898407485685212,0.8930716901286941,0.8592517806311807,0.6106004565026517,0.49127239063121836,0.4213571882955666,0.36166969290902,0.3719157702676002,0.4756923576391915,0.5171705640709394,0.7196051596197232,0.47607814382289665,0.5308849786572823,0.4969965962189489,0.3405410806294555,0.33197290793510087,0.37505430557327,0.45529263505221035,0.46333088158338875,0.4916812997009388,0.9186462850435222,1.7558746762082984,0.9886458058441635,1.0315248548176954,0.8011410618262808,0.9530438164267808,0.9618595389628949,0.6584450065853712,0.5255887116787052,0.551475336692305,0.47189966049851556,0.5086235731692038,0.5115121217436405,0.44841281496566415,0.500711269181611,0.4292195346082238,0.5165081345581791,0.5323432210529447,0.5317244709445675,0.6440322000154135,0.6205291252632518,0.6502657638438506,0.6248913282036641,0.7216307273723185,0.7446491015566638,0.7418294700870408,0.8520105440299005,0.9190312701633913,0.9210868587098755,1.174034207441915,0.9813256821936962,0.7988222198245777,0.8037825195288177,0.7677308353518237,1.6076007402516728,1.0019840255962318,1.6557140647534074,0.7582770788917369,0.7451437983747541,0.88712824578733,0.8590823528317095,0.7915891834079886,0.5776066016027261,0.9447912639430991,0.682038498720132,0.9793000441961763,0.5944984358276243,0.956708504257177,0.9396554214846883,0.8387467351440662,1.2213722002911862,0.590144534832366,0.5491092386566522,0.618653454828228,0.748138911388014,0.8595756862258492,1.1186724058789825,0.9597846859133613,0.7658144249038411,0.8442220289805632,1.0956425841418944,0.9017804852389325,0.746305511924088,1.0091799595420845,1.0993662334240473,0.8032053369373948,0.8760263772153171,1.0553556796992938,1.0367129877168098,0.88476244384606,0.9419347739633664,0.8124604655252826,0.7850359847721431,0.7057349013034928,0.6723558962564876,0.777511649223634,0.6513979209516533,0.6114279977483988,0.653007344596135,0.6859973507691454,0.5958262876680286,0.6579918520949527,0.8700324409296003,0.774196721836987,0.7510500820604151,0.8447546845506099,1.3164017981493172,1.0096515123259913,0.9701894188245218,1.2093852824209044,1.3064838339668257,1.5160427305707382,1.1299920714911085,0.8728530300249387,0.7776565941359601,1.072492892279436,0.9978017425351248,1.070801042783462,0.9696843743236963,0.7542855048068209,0.5852507439692081,0.47612083208780354,0.43660477353052174,0.4440191424248741,0.43625436189595085,0.6990845087214881,1.2008703622587917,0.4528911386812638,0.6386872323271764,0.8473334305690903,0.6176600904084132,0.6702665492910981,0.7928325305764906,1.4947733252267292,3.4731387637641364,4.282543337651792,3.904177572513689],[0.5760169059629935,0.4119441978032333,0.5088144598427895,0.3823553936456319,0.4229078300750569,0.389181460554659,0.30907314804127795,0.48306153802106755,0.37285160241843973,0.3180648764442891,0.40819517214699075,0.592551458673142,0.4002840885891991,0.37189463075495355,0.5822854950742838,0.5206877546593871,0.4568944768969673,0.49660615547320097,0.5394962440601963,0.49612159204138,0.5987870203741055,0.5912796003343419,0.7027261881914115,0.9731450169510867,0.685041046067972,0.6678001853716796,0.4596130311735883,0.40641918481483963,0.4390945372190382,0.4994497995449425,0.5899065084597366,0.6547814968417596,0.7704257735120409,0.7172429806693361,0.6435279925049935,0.5299584324470313,0.557424353888231,0.4542054039389095,0.38760806915817797,0.3985464624223461,0.596121115336286,0.4956535624119592,0.5041244657791364,0.5174150207751813,0.7867234067301218,1.6115438445161345,1.64305985046397,0.7165078379214934,1.7111148263904108,2.2269951242796804,1.1762941624614307,1.2633295644584772,0.7845746458649265,0.613443940454749,1.0751070541553234,0.6188770504987391,0.5775456542114463,0.6367955995442472,0.72903591368272,0.9895359231268438,0.6350029419504862,0.6816455453943772,0.6206300383612418,0.797047707218004,0.6262174472485215,0.6258528699505914,0.7707620864506698,0.6069025626652543,0.7285504780622245,0.6836282952846484,0.8677740245905657,1.2945686991870076,0.9114118043769355,0.9336914535287604,0.6652872010665848,1.2418296691614994,0.6361328801317895,0.7170839826440065,0.6045632315671022,0.596067413215935,0.5918629369095442,0.6201388903332941,1.2700666876860127,0.6465489889357744,0.5248771440398264,0.4853312435721776,0.47865841011410487,0.64793866642484,0.5404174967240144,0.7523615217550796,0.6579639964929784,0.8277560878773994,0.7250654273566036,0.7305483219432012,0.6549329304200666,0.7582754191997056,0.7124656924426711,0.7473200556811859,0.7658873550341282,1.1809940721684538,0.8216626321035013,0.9318816418043995,0.700785232079333,0.7616324356044332,0.6509866661886344,0.6156427925924938,0.7197361126828501,0.543603614988622,0.563189680982197,0.6470908697058795,0.5155807779617887,0.4002022123508125,0.34823425713399314,0.3507800937620495,0.3449961023552504,0.3675140971630805,0.40644453977081413,0.43531006430979713,0.6052854358824145,0.5269007597888973,0.48044940922373125,0.41804109135558487,0.4338123369048213,0.32667379795269835,0.3123084770409417,0.3152969820351394,0.4658445538303427,0.3987238513975497,0.3620967602266456,0.4043054526200305,0.4016560093214539,0.4235704976389255,0.41127909291388953,0.5404108076590232,0.4751765252491627,0.5204070632597263,0.6692741870377863,0.4415965377859847,0.41422797507020037,0.4267392335761517,0.719291374627943,0.6941379683803026,0.4975766826811413,0.3820035508756265,0.34742691864647246,0.3728671069005244,0.33048363286400834,0.3769497916468599,0.4144713159066511,0.4740421720863975,0.6798112056259534,0.858619164852147,1.565650203381613,2.2488202528913726,1.5681729809298945,1.1160912825144143,0.7447582855636448,0.7663665394425739,0.5855608937259248,0.6435652011333235,0.38944706246156247,0.3920072007869602,0.33221374783327845,0.35027804354758624,0.4484973670518524,0.5839290632793875,0.530128739641383,0.8224595207759048,0.8279541674008946,0.8121071153928743,0.5296203134511185,0.41801515553801005,0.39297804439342554,0.3880579798884795,0.43912631356846654,0.5799245961314266,0.6002718256817198,0.8076202009311856,0.5585948529753817,0.6538065048379917,0.5254001198338972,0.453254007566754,0.40952391613668504,0.3864630488074834,0.405476077397609,0.4254441675708336,0.4472455998314516,0.7860297342512691,1.8616481704627714,0.8324712148722381,0.8490217881273115,0.6570696423893186,0.8107818553763408,0.8529287130185942,0.5730954427380566,0.48447411235866017,0.4978477761216671,0.45555845142636786,0.5195353435355127,0.5625925858083389,0.5333031620100953,0.6425746655829602,0.5382794881527357,0.5634815607704639,0.6009204262888969,0.5935785999656437,0.6640390374952403,0.6504077363353111,0.713622254524115,0.6502207601753666,0.749468224868759,0.7787197014181951,0.7585153078744824,0.8879536709556293,0.9777734541172665,0.9873873671248141,1.2066892917135152,1.0699669310462296,0.8709296518389392,0.8700219714518513,0.8429867257471455,1.7552497004389556,1.0934224940555988,1.6434642246491136,0.7953299139213434,0.8471973126394781,0.9955357369682706,0.9352538952525389,0.8623939046359379,0.6322630285916775,1.0246800709511674,0.6876053102383584,1.0070187313989614,0.6426498248968465,0.9434937576712412,0.954980954896977,0.8510951999257543,1.2279450155845046,0.6614520378125385,0.6199533413365436,0.6630663645036553,0.8039763537489165,0.9290553647289731,1.3060596891964913,1.118115473340046,0.8668464068759242,0.9788650909069101,1.253121078137111,1.062822184583327,0.8580467802809044,1.1550145646243641,1.2471721658262842,0.902865959101945,0.9803143294422109,1.1572890050755287,1.0702050162215295,0.9417556919803381,1.0266209462736053,0.889523171729714,0.8791225046626617,0.8100063985263559,0.7669920159046549,0.8511717408772898,0.7099132888769101,0.663783371364485,0.7189347878373819,0.7395897017131008,0.6379598091705061,0.7087182302992497,0.9110284312845089,0.8043625888249414,0.7848742387626286,0.8652343063059282,1.306477245287957,1.01786871835185,1.014344071194467,1.221267923479262,1.3778177612246212,1.6469902078568108,1.2257071591775286,0.9354351938562678,0.8371128094723612,1.1646267323432449,1.0815396988749573,1.1444967745813552,0.9916067060049093,0.7749750504310454,0.5792940890474411,0.49710421973626584,0.44359234770816197,0.5225591307737218,0.5189467243215848,0.6743968869366616,1.303358342638907,0.48379928081819235,0.6122078204832624,0.7263686004659738,0.7409223659743774,0.591056021291508,0.709918684350525,1.2277211402675803,3.1852775898780408,4.239163530497687,3.722380129249684],[0.5178898935867714,0.33784827989264304,0.4292213601526614,0.3411800242539566,0.37824274036331423,0.3494138290420833,0.27691534764845466,0.4760245554412744,0.36357263494158093,0.3070928375530609,0.41618444101669594,0.5883031791280395,0.3890543988266571,0.3288199659394922,0.5461919931474247,0.48718983977327734,0.42559661475554483,0.4630186613081508,0.48395814921550623,0.4520993343167932,0.5431951473685497,0.5329118302965539,0.6637314024985888,0.9368855140113538,0.6685431957091672,0.6362098570223452,0.42633562281407794,0.38703742668519575,0.41089485860211866,0.4634616375847207,0.5457274678571672,0.6172422925402683,0.7366032978587345,0.6833886232641277,0.6121543195518827,0.4868254990491196,0.5301416502118216,0.416735826105432,0.35039394198283746,0.35602808860278734,0.557693954515143,0.46624902473832036,0.4655855826932321,0.49205672572260695,0.7877168214621718,1.5751951761151803,1.6380358982754752,0.704010154513382,1.6584632789741787,2.238754607180223,1.147567085407994,1.2361973894559741,0.7562953578611892,0.54831694209721,1.020511262597188,0.5620873789914614,0.5323664758697189,0.5866184367412087,0.6929465812452674,0.972060942206856,0.6047167646049605,0.6694646581374928,0.5827864855555437,0.7330707626153192,0.5796344557202427,0.5898361744063055,0.7084420948690898,0.5588374676744304,0.6698368670947132,0.6447793658782307,0.8225669006814643,1.2331462778081712,0.8734605549213572,0.8786040698124555,0.6176325699055891,1.198875338946783,0.5876593109051873,0.663981960996786,0.5612916519692809,0.5444694872311041,0.5500230228301142,0.5567873493920565,1.2092748411663856,0.6006376531612685,0.48312023132295934,0.4462310387105981,0.43799520856442414,0.634089040102174,0.4927671547332307,0.7165048270896992,0.6163000187191374,0.773881619698986,0.6748958913030333,0.6855010712951961,0.6189730707738381,0.7171089351195845,0.7020524005061791,0.7151928232210789,0.7458303777688168,1.1501959371428214,0.8143254249907153,0.9322836692694113,0.6949944355324594,0.7501396190427232,0.6187170010533077,0.5714711688588138,0.6750440352962994,0.5085359413720386,0.5252979645398841,0.5852845035970705,0.4628890827438159,0.37265165838910147,0.3403405165532627,0.31623581526916805,0.30092026757530704,0.327271232109021,0.3934806441376016,0.3966680591089345,0.5686356663541559,0.5132449873811472,0.45117411125011986,0.38864035286840787,0.41031144143405673,0.29736973965613334,0.2915502003404454,0.3193251806189632,0.4556115251955211,0.34194625056370953,0.3212955911330485,0.365991281652965,0.36711879574297535,0.3949886159049795,0.37080395326067517,0.5170924346564206,0.4434831199612759,0.5103356051951864,0.6617143166455595,0.4352888022293673,0.41553861096757866,0.4134096130242059,0.6925005691393281,0.6738267989983474,0.4499825050287605,0.3500265083934542,0.3195993662720186,0.3392845836103987,0.2924080059923016,0.36422198401450745,0.39361987237930013,0.46720002676653705,0.6673857848833131,0.8404825955656081,1.553674867811865,2.1481018693138183,1.4940474273954125,1.095870342836861,0.7360518483049188,0.7558877449609538,0.5573024898148156,0.631961919978579,0.34005161006578777,0.3740986721378903,0.30471086095387095,0.3138144635362852,0.40566130397617434,0.5813570777356805,0.5123434575835123,0.8234865015318988,0.8380027960483685,0.8184576562502283,0.5240646088079876,0.4090365216347049,0.3600347438927981,0.3586419599836664,0.40760478788973054,0.5352327564640813,0.5713266353059241,0.7709979579840067,0.516282700189511,0.6102856334794686,0.553265005932111,0.42692637833123026,0.37869666734683033,0.35329256751413923,0.3657659637237945,0.39223438787539766,0.4198690344452561,0.7671055949057989,1.9372382269010284,0.828494779861679,0.8572128341273411,0.6386859462971246,0.799421713112949,0.840879112120294,0.5460865438568636,0.4604354005273798,0.4685063651227783,0.42686062991554735,0.45591377844134706,0.5069009129255376,0.45969104103420677,0.592683374617034,0.4764289440457893,0.47652436171231727,0.5204600187701496,0.513629645289316,0.5985531092208466,0.5707044088262508,0.6517143811966588,0.5589885800403301,0.6659699336092106,0.6878675405573377,0.6741922762241778,0.7978694475485164,0.9051329096902475,0.9409737413879938,1.1437493527080889,1.0523559581616386,0.8105748702935752,0.7937264217948173,0.7828012340865627,1.6809459481574085,1.0747062615055227,1.608233824826217,0.7429705327473108,0.7880087302364839,0.959849471915154,0.8921959795201062,0.816336648388459,0.5886434241149194,0.9947386577484735,0.6784068100773923,1.032736155632215,0.616244276155961,0.8521354912043483,0.9573893043833587,0.81084434283498,1.151446748660122,0.5776738160344712,0.5814234553945352,0.6348249065823949,0.7779748292902509,0.933726902686715,1.259637544697815,1.1055412243331084,0.860832270001481,0.9590215486266341,1.2382328740327802,1.0625713269035653,0.837223193221558,1.1461452514837502,1.2570426988055818,0.8924593990160605,0.9585022320149996,1.1452153119472965,1.05703769064982,0.8875800381183371,0.9836459986578825,0.8229266336777544,0.8247378673417283,0.773249393313631,0.7233042498567746,0.7848946719997761,0.6245399630741106,0.6242047313249173,0.6462632951567061,0.6713300993773159,0.5671720976032804,0.6443417711546583,0.8955323750369542,0.7860118518668159,0.7557882173905004,0.8619177613259248,1.3166338184708246,1.03635719204094,1.0223962637213428,1.2486134469033447,1.4181985171674516,1.6743906772489214,1.2416950849324724,0.9156640996610569,0.8022028804231139,1.1782083665286391,1.0864130129538336,1.1657335576527044,0.9879176036210505,0.7540404069048442,0.5365227156568569,0.4375100020145539,0.389145368490353,0.48260527003360026,0.4343151007590134,0.5700475456562345,1.2685001936655795,0.4090260334899625,0.49657571708440923,0.5698951706379765,0.7252311019473989,0.4789204399150368,0.5774886277815948,0.9928633266690328,2.836186053431772,3.884996454999343,3.2813330429610024],[0.715082692112875,0.5028057869683842,0.5096064301942013,0.4916942442151575,0.4910104184978433,0.427626463293942,0.4106573337906519,0.5652505739455731,0.43676493541449096,0.36502447930008797,0.4420446440193724,0.6085309122640148,0.4186346485639971,0.3638973711921304,0.5379659344364428,0.4931869067230711,0.45525336568772173,0.48650748115192033,0.5320014855228836,0.4800627475661006,0.5891704469983559,0.5679904530595842,0.7311748086122589,1.0406329742063172,0.7452264376299559,0.7150673545259998,0.48441851216770593,0.4420729062802415,0.44317543016998406,0.4761601370544897,0.5494040468772217,0.6189421789503042,0.7400610784825219,0.6757233103135268,0.6084134680004477,0.49212968712329774,0.5409588803915962,0.4460308714366422,0.38755729783782605,0.37776105637265167,0.584131230050527,0.5150341918477979,0.5219744454054246,0.5688893788101838,0.8794548271738472,1.6616178537412798,1.7791456277160693,0.7957017618778849,1.7164260804210778,2.313123609612274,1.2453068777926828,1.1962174870057516,0.7708552334938861,0.5773064397946462,1.0162113103179207,0.5755381987151412,0.5713161133974509,0.5929852994846379,0.6911853622011005,1.031947670025215,0.6338189023716709,0.6802887636442443,0.5906426130683404,0.7777021304988135,0.6220041367631918,0.6153831570159446,0.7515094200910366,0.5782891242886291,0.7190798221184515,0.6643455848589365,0.8482574273923734,1.2402017362060405,0.857796827907927,0.9213067206294997,0.6389167912293775,1.2146966628952092,0.6003330088389491,0.6659859670774778,0.5582401891716249,0.5436786031723291,0.5495587577069279,0.5509002337047961,1.2049836535721694,0.5873955495640433,0.5242886863793768,0.46610904943192677,0.4530161364513021,0.6363694424950131,0.4899283487203102,0.7159115637051179,0.6156236228245437,0.7698089060201085,0.6723846833782816,0.6842590770230701,0.6128505980406416,0.7198045118591974,0.6922547734978686,0.7165752386422208,0.7529106445711421,1.169286343058417,0.8322246922897998,0.9824866115826604,0.7281498570840008,0.8168670483670453,0.6871755177503578,0.6329087576165893,0.7376090752715735,0.6107628425607258,0.6380963188118245,0.6559288217143436,0.5771733984908869,0.4704924578338669,0.4384801568351926,0.3899391405217824,0.3695165781032947,0.39574531813953295,0.4549558543496099,0.48100564808609314,0.6538388449612221,0.5578422817114516,0.5168482245922168,0.45282956538455366,0.47831684815758746,0.35709961631606,0.3672211243860641,0.3861130382770101,0.5304209070670806,0.41994336732329474,0.4235370530478181,0.4308236442699661,0.4379006043301754,0.48317291880232155,0.44071569841176483,0.5488732222275752,0.4882570006314864,0.5454056496641574,0.709348665055834,0.5515974306051974,0.45350582940588424,0.4655579491224828,0.7324319382460379,0.7439202176720753,0.5259098299484583,0.41320153180844144,0.3879439153800324,0.3831405787989609,0.3523967846780965,0.42127053400029124,0.4641415554901614,0.5410468568731135,0.7478864650000406,0.9088531439737659,1.6271832171172622,2.167500476638448,1.5143461334275494,1.1387135189683855,0.7732965541860942,0.8113151658172842,0.5942459329588033,0.6928614528294055,0.40589759361274896,0.4282469287185329,0.3647691744050042,0.37381690366737047,0.40902460541740054,0.614303231590289,0.5632272826778746,0.8960526596741105,0.8973140191916453,0.8564694239747586,0.5757829619718904,0.49563939715990907,0.41079082373915365,0.4339178908289168,0.46482265822446234,0.5674526745875301,0.6008446481861053,0.7779333716240859,0.5474007322656331,0.6235393581268196,0.6349848002163172,0.4941460549830365,0.44327069923526136,0.4232640442493998,0.43305187479053087,0.4235589077915984,0.4598758282504278,0.8325065051008517,2.0126791566953295,0.9184085191738202,0.9725039452604465,0.684672203085209,0.8717653845275538,0.9088002756956,0.6228669414224345,0.5177747463721565,0.5148497452093829,0.49772113029512144,0.5096515612179623,0.544585385051835,0.5178375632711342,0.6849582206497986,0.5624218706311411,0.5057521208899773,0.5767862074142468,0.5957978439252629,0.5831250377989343,0.565995495709634,0.7490057565355923,0.5818171276480608,0.6104776420102626,0.679582569841067,0.7393016129141229,0.6894813704193525,0.7944748582401894,0.8369875582671186,1.069332860216226,0.9951291236799813,0.770614705602869,0.7520209500800097,0.7684818707746501,1.6505088348958203,1.0699180223889602,1.4588949254059662,0.8093974414526485,0.8381020368624711,0.9923752607580655,0.8865046325683877,0.8584356622334989,0.637441753610291,0.9976465516045205,0.7524488033852919,1.1137519718489926,0.6711122108183817,0.791906521030954,1.0764628362572104,0.8439652856649762,1.1344450274608129,0.593495786439161,0.6069610130671583,0.6668649599048997,0.8113571572104772,0.9973354975645199,1.3305501950985414,1.1907151571772048,0.9433901023642826,1.0519486788957115,1.3468542464258537,1.1638576594081786,0.9448860651626126,1.2854214313663517,1.4139657019594454,1.02397554008429,1.0955488762756649,1.314218566680355,1.2337200413825278,0.9934971821160803,1.101372767909677,0.9034192300420602,0.9278028936360649,0.8848573409351838,0.8125177105496769,0.8301645425020319,0.6621969586261254,0.6825756554366075,0.677703285610655,0.6842722296671033,0.5862485930486204,0.6605381584946352,0.930057866181095,0.8105504133291598,0.8077410771634096,0.9415446100888897,1.4058574361869574,1.06867073268431,1.048612052247311,1.2848333610612763,1.4335333492742277,1.717547284813508,1.2036090990723454,0.8700319734272206,0.7246132796023584,1.1387819061709572,1.070022955088514,1.1894366997185717,1.0392244102531831,0.7554991877569417,0.5871541433379919,0.4895645363428338,0.46863785088251797,0.5917702981356907,0.5358600079647424,0.5393227442046558,1.3160090485497362,0.5055449743382898,0.4904725830862307,0.5402138945600697,0.8374817112863341,0.42962152073089477,0.5268796780713934,1.0155721122746895,2.2763212499627636,3.393590226303963,2.9462358979487826],[0.6786753808730108,0.4357423148150819,0.4951793750311043,0.43082254015680843,0.4782384156173464,0.4171802114271765,0.384416554288375,0.5631685847821897,0.43095752496622236,0.3843049596328991,0.4674917062828826,0.6110889462711683,0.453289697125139,0.41271670431869034,0.5825955454112592,0.5165898374516361,0.5067534391201469,0.5062257133881499,0.5294041412442827,0.48644769943290816,0.5928743986445596,0.5915407580724508,0.6666052825432931,0.9500905384244096,0.6835613769738559,0.6575607170882868,0.47627574437615666,0.4455751929802889,0.45747236095006816,0.49690198144956405,0.5553568850561705,0.6569451348117519,0.7532316254546328,0.6997989738699907,0.6412706256658799,0.5126866355545954,0.5774354330852446,0.4582748443278932,0.43056286199981475,0.42881771268471686,0.5782866212871025,0.5050378070054374,0.5193461768774563,0.5492622378137572,0.7856416721348944,1.514996529833907,1.5930664606182061,0.694571848520735,1.5861696478179925,2.219694687224453,1.1143379435253107,1.2085779364982465,0.8518788118978357,0.5706514648402772,1.0900405153912254,0.642136888619899,0.5794973150836278,0.6245962002932908,0.7340857743070679,0.978264655246393,0.6101474831410437,0.6740455522916031,0.5839537694318317,0.6928777593130008,0.587615539117883,0.590937097824617,0.71383237136037,0.5660179874289865,0.6894543395533657,0.652060511553399,0.862287026593066,1.2521468402135592,0.8647488452368189,0.8591345168567309,0.6162453045797504,1.1132796983138955,0.5871425237789949,0.6598416167644676,0.5726299314680199,0.5665119593547265,0.6122570058691648,0.6264271086192144,1.2573228168852841,0.6821047519898761,0.5426269247491088,0.5367345990591639,0.49804730691231947,0.6594080554406103,0.5217298985699282,0.7365581481316869,0.61503242557705,0.7715108387165398,0.6611125409293053,0.6929697011730349,0.6214212514184717,0.7098477109275111,0.7077375102448706,0.7207330770026482,0.7479814558880452,1.1238455490059827,0.8418566080580371,0.998675161921636,0.7748434476420909,0.8656971107773745,0.7605585710968769,0.706200619830723,0.8114282086962369,0.6426990375103504,0.6508646744374854,0.6885400473373539,0.6028760362168175,0.4955690961429472,0.44293132654729195,0.4172705066219928,0.39828739153857795,0.4260591751854641,0.47464647335176446,0.5006714353572809,0.6313145450014096,0.5921243373610874,0.5487175183754551,0.48214073926631057,0.5329898295051823,0.42617504407887413,0.4111228944249543,0.43481340763736964,0.5159014225381584,0.43420764300125425,0.43274045976016995,0.4625510960760376,0.43132483137966354,0.4720366309468262,0.44102333613284667,0.5861938298087824,0.4946395032938884,0.5500672367000471,0.7084109262421622,0.5356458607085172,0.5093366203928863,0.4957674939360422,0.7554478481784722,0.7405628054050735,0.526063030572944,0.44498524111131393,0.4144068602317569,0.4192412604653246,0.39395017532866955,0.4567728204343627,0.4873292447276444,0.5332664313469618,0.741044440380928,0.8564341154236345,1.5992636220672654,2.0167252526920256,1.405596237712443,1.1054970144147702,0.7646785312798339,0.8240488904627865,0.6241937332807029,0.7129838417849299,0.4484392397760761,0.45119419597508104,0.4209708210847556,0.4190390229133009,0.43430205899382035,0.6526323880875184,0.5434269500889144,0.8055211233891633,0.8380096341193481,0.8164884364993298,0.5541331750459949,0.4833124850356154,0.45813969017765716,0.4556078368680273,0.5104834826506829,0.6478588960793392,0.6656750822704354,0.8707796882536991,0.6189213198492968,0.7199428525149938,0.6276782553431511,0.54649673443531,0.49760298103718875,0.4735039816790351,0.4643142358336459,0.48686493833906996,0.4575004806679202,0.7419603228233644,1.98289909469345,0.8185006949521575,0.8625179544153999,0.6516268499581287,0.8302613866118385,0.8710678278418093,0.5919882797144337,0.5103452345893773,0.5019653091451313,0.4581806234902412,0.47750406906959497,0.5419181407875063,0.5197534299107008,0.7004929941395747,0.5657226476071757,0.4917301550068354,0.5614682592207862,0.5746447117482759,0.5714271819382905,0.5346158608758689,0.7017612022741874,0.5303105464794038,0.6188704933712034,0.6281139843523784,0.6497507602580729,0.744744382984124,0.8405783800561325,0.9061769258988622,1.0813204715508995,1.04642955162908,0.783811029431654,0.7550874481747348,0.7523569534581264,1.7150929351201614,1.0832016900172137,1.530503814473412,0.7829536515065154,0.8379252102442932,1.0153986606351326,0.9226818641520914,0.8307781276827428,0.6210516262033638,1.0033490944174954,0.7165065812460542,1.104666480869518,0.6658223200288786,0.8012910884771365,1.0264510407731333,0.8001207469655482,1.1168263612488387,0.6098088755356773,0.652120992988937,0.6732449354088468,0.8218485817113401,1.0255884694108441,1.4115202079592732,1.253457707382365,0.9743163331441717,1.0980279220197597,1.406129162050279,1.2192120165286116,0.9667092892774511,1.3210099123266772,1.4485495255535765,1.0170576828305309,1.0902931194477112,1.310020970093017,1.2135519062789255,0.9470437143837137,1.0723997703503183,0.868470460449167,0.9108220515100582,0.8751954728274993,0.8060521720165025,0.8097124968574523,0.6196884764211603,0.6569703678756542,0.6433571431350256,0.6522795743310051,0.5599517778406129,0.6297577776954729,0.9013650975027572,0.8038079680186133,0.7706958422294597,0.8989009828964966,1.357036509959566,1.052550619091611,1.0702419491265847,1.287495051210286,1.462081041875589,1.7558634447514707,1.2797336315015453,0.9302794805578181,0.8086392168005277,1.2265990288230584,1.1339649500354156,1.2190175407302042,1.016736520995615,0.7508885910910351,0.5786883224501311,0.48372465930541725,0.46505140673291956,0.5763576045318372,0.5545892357443688,0.5714083823386964,1.2835703218986634,0.5338258511045186,0.5008784327835428,0.5753757302556328,0.9010251171968803,0.42993706238551077,0.5282935416289084,0.9396540049796169,2.1171338673703946,3.363855483026148,2.891914236579873],[0.7709649116278797,0.5194259769887402,0.5649261375095849,0.4951962212077175,0.5516890513738824,0.4399223780687372,0.43636701642243353,0.6182231947028932,0.48818393874625204,0.4458094619607143,0.5279637427447661,0.6976188752302167,0.5368908382172967,0.4563404141408373,0.710601100996379,0.6422436732670329,0.5592509233148808,0.6045705072806616,0.6271084020266102,0.6041402208238005,0.6400598953310618,0.6304472690230436,0.7913633386491843,0.9517429187310653,0.7819539421081106,0.7464798909814527,0.5667389980599973,0.5496207303959769,0.5828313208051311,0.6475296467422054,0.6942849982268774,0.7767344668160228,0.8901373823623098,0.8556737164202985,0.776440364669627,0.6687431750506462,0.7170619682165266,0.5988350021134701,0.5466058243646564,0.557210968866115,0.570670944509706,0.6574542313673643,0.6479539151269571,0.6488574219109317,0.8124742923246397,1.5784256164083326,1.5974665455710384,0.7934035601133071,1.7600371198612135,2.327209439696786,1.250313566669316,1.276101336608877,0.8768279278340101,0.6472402345247373,1.2141563994117053,0.7933226525350946,0.7266037558390295,0.7676714253529038,0.857925739246618,0.9992658503892412,0.7044417559520508,0.818379071840399,0.7468123719541078,0.9282607854749267,0.7101012794737563,0.7265025143877296,0.8614342975419201,0.7054501634389158,0.7935273204991576,0.7561995356511199,0.9726722257037467,1.3411743333274089,0.9757929737917465,0.95832791805868,0.7523631745951777,1.2827202660259185,0.7507954124131376,0.8335472548798623,0.7476204286537588,0.7191367033344459,0.7728232066091995,0.7717700692393902,1.358422472389711,0.8117345119939815,0.6448335734213071,0.6524545148236016,0.6310333821651328,0.8177607949206798,0.6729815543474188,0.8880344381512256,0.7743341706031598,0.8720270850385596,0.8055359452942565,0.8316408029510208,0.7600843299773989,0.8293000139300081,0.8199866256885187,0.8449589917635776,0.8797378410266621,1.284750367199616,0.9892035241409332,1.1380396909924002,0.91324333576868,0.9746672235759909,0.8575969075364659,0.7706390643081882,0.8915315333849877,0.7268554917046488,0.7330049029733923,0.7798524835755951,0.6745804314418075,0.5849236571115125,0.5053749375302976,0.47636424169582553,0.4693862188818704,0.44835843705025863,0.5104725169455565,0.45905547345120473,0.6023566245147449,0.6030440237751928,0.526306264166528,0.4870015078142713,0.46172131364546615,0.3847176377787332,0.4138730359778772,0.4327303756853129,0.5676578674217577,0.4995539504653512,0.5024944902101481,0.5436136896285089,0.49560139485117033,0.5406258276159435,0.4927628581695747,0.6977961486999498,0.5371943481075993,0.5753201311935204,0.7235835060389715,0.5285447800276627,0.4555111421460417,0.467918965451647,0.6873436610290911,0.6532934601839845,0.5203395780647392,0.45900363781680115,0.47139254219734084,0.5122671658291513,0.4698713124148678,0.5505547034637733,0.5827357869139194,0.6246235853615587,0.8459596627774635,0.9555185310596098,1.7293976555130803,2.2008173434125053,1.531925361951879,1.2623735763006978,0.8917371660573268,0.952471906933241,0.7567938389652651,0.8606399220179033,0.5213156595581491,0.5887236702227715,0.46094942244082193,0.5053376309274465,0.47674898436289354,0.6133063190847826,0.5247278454292073,0.7594555201679651,0.8114994820415262,0.7854461244167656,0.5595130799661779,0.517072113427374,0.46185512307037957,0.5464476275403979,0.6351132682365945,0.7633054157971383,0.7860622852134654,0.9855755917795184,0.7534511054226932,0.8130543647973224,0.7456053055048906,0.6663042048283095,0.6059467154430809,0.5528371841183988,0.5106602253530652,0.5598342568967515,0.5679633856386151,0.8443732783581674,2.0624096231178357,0.7573207204489579,0.7006082208188443,0.5746372158300813,0.7636873478653934,0.8316164363930623,0.5911553104534017,0.5453745181875015,0.5384061374996775,0.5228873826183611,0.5442601476095478,0.6038363344474026,0.5804116646017331,0.7409087043621262,0.616009585086775,0.5494482542428133,0.5887973410528321,0.5822698258496242,0.6419567610236058,0.5931032306650766,0.6594344284129021,0.5748213812452837,0.7257259826136416,0.7026246512801217,0.6483975997709761,0.937916414501335,1.0100645733504783,1.0379402975026721,1.1612163045616586,1.1303299213110474,0.8666902231979324,0.8354636842309721,0.809415760663703,1.779671023039493,1.1573457424407851,1.666403870466701,0.8511831277355305,0.870283209226198,1.000420214182676,0.9214554143454564,0.7901117279166301,0.6722888898643065,1.0425581880129966,0.7574610902624678,1.1644356992633393,0.7353975722899222,0.8819211225227426,1.0098625603077152,0.8165888689650832,1.107601887659948,0.6516339713458013,0.7274678913051634,0.7563075734523248,0.8826063588070964,1.0723635916090024,1.4329580500808299,1.3071176754313771,1.0177464646575853,1.0999515599874101,1.4178932966767972,1.2216139748094472,0.9354039657359849,1.260138561722345,1.3602985003787778,0.9321460856821141,0.9973614246504954,1.1812629375514525,1.0432056111890207,0.8560655066285532,0.9847719092571547,0.8443582005418091,0.8696647349005758,0.8374152302902802,0.795475722602405,0.8147215940758569,0.6460401876742782,0.7001914794175754,0.6898564480335969,0.7200917790859566,0.6157084524833932,0.6746898735229159,0.9358193445437138,0.8504481423123328,0.7968128917996051,0.9261466270014524,1.4000521249366844,1.0547344783904,1.0952058805050355,1.2887334472029308,1.459480961397434,1.7679046252002173,1.324876467440322,1.0011623827130018,0.9020479989505723,1.2636239187438567,1.1594437671869129,1.2154436609975805,1.006023923574346,0.7706138070560998,0.6327549486992051,0.5316566340026468,0.5236967059253944,0.6446038834594292,0.5911053934357375,0.6109744935690241,1.3489200859238841,0.5810793732405093,0.5644222354603151,0.6200232318547934,0.9491640404540674,0.5380752366854982,0.7169779826209349,1.0551182832112662,2.6729915674288223,4.104714314996004,3.535798087489877],[0.753002389870538,0.5161013955354466,0.5759854614100173,0.4590915252110456,0.502103495016931,0.43768183129384325,0.4048509737847989,0.5900275946449678,0.4568819526260047,0.4205731817675791,0.5133775058392063,0.6926939113860091,0.5147974527584821,0.4469483297657621,0.6943153109311329,0.6357187512507437,0.5369559671777021,0.6091642384357672,0.6403756290150605,0.5936211732115229,0.640600435181258,0.6327960458463012,0.7845128989759658,1.006153377208518,0.7957763921564928,0.7734066006285694,0.5629137608812705,0.5491203219609949,0.5733952922709875,0.63055581146053,0.7074593429558826,0.7787821999979047,0.9037486227577268,0.8702079067017862,0.7787612089124238,0.6615780167910588,0.6985167229717106,0.5735383529777647,0.5079673033850418,0.5144495040302799,0.5676211127310438,0.6322338633887155,0.6298341813142959,0.6290822516947608,0.8411876702493738,1.6224513447016202,1.6467529936263854,0.7963307752772069,1.763772316478611,2.315453105392324,1.2446008858448938,1.2514473288305032,0.8471546601531598,0.6001279743192129,1.1796890374662912,0.7492855477755765,0.694303990361919,0.7491054326504473,0.8438352620446834,1.0001558400166617,0.7084267983904599,0.8297025613144238,0.7636022661500728,0.9549766269221078,0.7294846540783142,0.7361851837483092,0.8640092988245199,0.7094027127241385,0.7972418029349522,0.7669515872335698,0.9450294632245095,1.384016747447573,0.9724250836481472,0.9764738856505002,0.7824756459097716,1.3502168947349549,0.769311514009072,0.8587345933409382,0.7555190254250409,0.7116085092652715,0.7685989292852015,0.7538901911268459,1.3383412293901231,0.7771419176900126,0.61493197447969,0.6281252824952849,0.6115097001744267,0.807127642729918,0.6616299557977952,0.9031989564293001,0.7967923485866241,0.9250681930792884,0.8505406173298006,0.8679934638192309,0.7776550318644381,0.8633571050273016,0.8294666277972804,0.8537866405179534,0.8800740907310408,1.2886974913538802,0.9881545998204591,1.1361949214629055,0.9057264593417942,0.969549510227476,0.848474255588726,0.7487042699746213,0.8856477116717818,0.7027072976205657,0.7046705761011194,0.7573344264672012,0.6460628738801906,0.5448694930628474,0.4679841031190976,0.4348040437832212,0.43367417993619156,0.4225452657135409,0.529917088231671,0.45827588537985625,0.6290831448412355,0.6077724041512045,0.5373665471916083,0.495387401259945,0.46655109225702823,0.37918617665627197,0.38511962005791983,0.401445170680037,0.5399572342226466,0.45411473018174436,0.4666546935513799,0.5084736607637564,0.4644378266816687,0.5255700199253427,0.46326853597108086,0.6650833195289845,0.5019094355856882,0.5430733699216794,0.7058241771157624,0.5046457504996057,0.41527145128836757,0.42960988645897785,0.6785301597008011,0.6534558939380116,0.5071456908877017,0.4307640709775953,0.4395750504283352,0.48012278549275994,0.4294081576539911,0.5098134520244099,0.5429799372727435,0.5927047670028478,0.8221223463884528,0.9347764058580521,1.717159031965915,2.169408310201079,1.5216974291241292,1.255751120291175,0.8754206586115829,0.9422566948447483,0.731777693965803,0.8323362503744562,0.47996439626380794,0.5443041294211717,0.41987267661147903,0.45911012982375626,0.43400807640726424,0.569499793999711,0.4976424330101636,0.7663652330641731,0.812183007856328,0.7804771499551061,0.5335330149179003,0.4794520820699942,0.41836309230357566,0.4980627872820101,0.5973439387873478,0.738473806655044,0.7598119016236771,0.9887118326385599,0.7290328735390459,0.8028786799800359,0.7121498006866013,0.6298505405224163,0.5675660695709964,0.5101741331822021,0.4694187670960531,0.5114984944220989,0.52467994169501,0.8148457986678529,2.038402073185809,0.758993746237676,0.7251496726631811,0.5597779147066692,0.753882635053019,0.8113247505638129,0.5680894148508074,0.5279135531575563,0.5168294701975041,0.5097291938793778,0.5366646927338226,0.5956900924887032,0.5861374152565337,0.7427632048834257,0.6072598292614417,0.5688825202519487,0.6189164995489715,0.6081950765229592,0.6605652935725952,0.6440804469046639,0.7110708440058744,0.6170385331319124,0.7780263633100232,0.7668863857036211,0.7051288500889239,0.9474748131983411,1.0584735502980662,1.1005240098386098,1.2167992653901147,1.239562352578749,0.9490540697282119,0.9251525387516453,0.913780940149297,1.7312933780355628,1.327616387593159,1.7741422219548817,0.8852615096458697,0.9254545062460401,1.0373131828035629,0.9632619484706241,0.8435427662976294,0.7126738311447602,1.0166235344298005,0.819538365932348,1.219081170224659,0.7529996805940711,0.8547597835396041,1.097746404033493,0.8751823223213439,1.0981452322206766,0.6655629040517504,0.7117385867997482,0.7535786494193438,0.8868422828082408,1.0836186767628537,1.4472764340780275,1.3227455787961826,1.0230507726351117,1.1368467268671076,1.458538471715268,1.237655841176946,0.9705421432806566,1.310467813369631,1.4136821903025814,0.977594168015871,1.0599842019165726,1.2452317969141118,1.1204020028056063,0.9293091598230986,1.0729402402802888,0.9206491948917357,0.939673326094894,0.8920544039149554,0.8592869586097462,0.8808791193875047,0.7105979017686889,0.763884720209302,0.7592032800449824,0.7874692150677495,0.6784724510474205,0.7567427095861039,1.0407572226695405,0.9464138592016934,0.8812185138330543,1.0479745593858694,1.5111808775918492,1.1557352812543378,1.1862051700690448,1.3996635966142217,1.5910268206010694,1.8963878736779358,1.407622553788852,1.0678356795921407,0.9381986839791834,1.3233926792430617,1.218864081518279,1.2995583730557299,1.0691226662736488,0.8163632092674965,0.6427042327993447,0.5212999947042753,0.4881177558915527,0.6226855976751442,0.6000610212375574,0.6458102702269236,1.313949917398458,0.5762113746010397,0.5834956402985051,0.6608039777992643,0.9293164129739753,0.5194306958334162,0.7357474588367349,1.0630740761962105,2.387276180244072,3.868215320331357,3.3539507192430817],[0.8889759596256936,0.7153696752804652,0.7705306290509721,0.6228744022057329,0.7038264526723512,0.6317012401505242,0.5674314242187763,0.7437026862735582,0.560453942005298,0.49619418732089454,0.5720228822559992,0.7659372505566988,0.5880065513338703,0.48092405681158246,0.7228254416076008,0.6678977269315092,0.5830431557079182,0.6022461644621265,0.6051806142238965,0.5904103035774798,0.6468499535539374,0.6327800944305282,0.756681422704101,0.9492747931575545,0.7598899429010793,0.7346600175071747,0.5607730050413262,0.5512899889738977,0.5938817250656417,0.6682217726501236,0.7221609846313184,0.8410653596201974,0.9762544378096942,0.9346796577585839,0.8468554169074927,0.6959915838041105,0.7764294889371038,0.6229218813740648,0.5849652927604766,0.6121848072744895,0.5806840766155185,0.6548234490483819,0.6428158616096344,0.6580037688697575,0.811281456890923,1.5354846104548021,1.5895702856440723,0.773740222826408,1.6838933150967714,2.28985874231492,1.199972488516979,1.2787688229492977,0.8991425872242348,0.6645691973639622,1.2530908678915347,0.8199733003367679,0.7420332906772356,0.7610534625126162,0.8516885517214177,0.9777665319573199,0.683695437491458,0.8240840827035784,0.7577422873821554,0.9020874709971887,0.6917297153048978,0.725518643171186,0.82835448428672,0.6899303095302228,0.7903321735894271,0.7364480894257609,0.9654919770276611,1.3288185940781616,0.9701883535424918,0.9450070214701998,0.7377952704761362,1.2991981059704203,0.7517092045844165,0.8671363206526296,0.787375910205997,0.7576821601777172,0.8349787887330798,0.8150970649805435,1.4114983312654372,0.8798144972085246,0.7301773844689913,0.7303676342891507,0.6667495251442275,0.8875764324184555,0.7102566647688421,0.9409340239076875,0.7987498837788585,0.9248424567949097,0.8484314061791092,0.8989634119208134,0.8057931800834368,0.8841844768778858,0.8693724416273859,0.9159860280790372,0.955940114713027,1.3658168336293097,1.0951159343753913,1.3075272777156266,1.0568721379010237,1.1338009743497628,1.0132798595491714,0.9363858643191509,1.0840753136248542,0.8978575090311128,0.8789471966623321,0.943059388072526,0.8308433598169418,0.7171039712036353,0.6270422366205664,0.5698741980739055,0.5200377596291144,0.5023534080427302,0.5256413247005981,0.5435014123034103,0.6292570600060737,0.6188221366023542,0.555402078435501,0.5172811453805196,0.5704747471817418,0.49130895022773674,0.5256679234878999,0.5860730051924503,0.6815849788613834,0.6423992406713223,0.6721394018164378,0.7099980622917353,0.6908410981207368,0.7287626520849863,0.6749182369127467,0.8316116285503607,0.6867253928599468,0.6964182866617523,0.8448202269311397,0.6584622015884182,0.6359449364239078,0.5971850998927676,0.8117128489409264,0.7650423495414986,0.5807740770692418,0.5279423600455522,0.5170209660599875,0.5457086934044072,0.5169297945380431,0.6125711306150855,0.6707394017541153,0.7044512317634278,0.9577451983089422,1.0563845267395784,1.859261643444512,2.2119274926763435,1.585161095137388,1.3843002540225107,0.9908142938384676,1.074407598473874,0.8482366068954535,0.9572138126558236,0.626455131544508,0.6466381364540429,0.5457911678925713,0.577515020741692,0.5333090542123786,0.7322949649587001,0.658358613655525,0.9035565693921425,0.9494494921056192,0.9228409975546308,0.6900113763533993,0.6307858412739747,0.5932933641512816,0.6600273792249179,0.7405087692060155,0.8886848806742055,0.8734031102842701,1.0829899219391204,0.8478489093261868,0.9333832192465864,0.8519590583733405,0.803572949633381,0.7655898497071213,0.7174850324703764,0.658124676858234,0.6579671825085279,0.6088873563481312,0.8542659176436693,2.065937852746118,0.8041272676549396,0.8375551789834619,0.6621970871887523,0.8897809729206594,0.935113305338094,0.7724409698991449,0.7625119301468474,0.7371343144556656,0.7209243573223356,0.7373818333884032,0.7813958982724047,0.7861897319524674,0.9405374878027039,0.8019914003796216,0.7647283721431973,0.8153544400721305,0.8125430319307206,0.8181500112455068,0.8234248997498881,0.9010188278418828,0.7959254495422322,0.9405469135752459,0.9053132596602143,0.8675599061083131,1.1057802662308154,1.2017756493054315,1.2618310099010335,1.3207817253402288,1.4171292125150843,1.1040187261719114,1.0560593576726562,1.047250313041461,1.794792385003213,1.4758633001286627,1.831360970037472,1.0471345404801293,1.0897206133446322,1.1884101769111122,1.1339727922668712,0.9936158128631777,0.9018262928770642,1.1433025269725454,0.990739904828322,1.3618201303286261,0.9336843065442494,0.9885065840860409,1.2748292968113009,1.0293376053977759,1.2025325019951516,0.8480601743528752,0.9006316008229612,0.9252450867471762,1.0475167299414525,1.2559034980786445,1.6186744834583702,1.5221451866963278,1.2065482429024212,1.3470923814509408,1.6775716095537256,1.4450729830675644,1.1784414040098896,1.5220562307246306,1.6332808449561629,1.1867767676824186,1.2624224906543315,1.4488219578014807,1.3450060089746134,1.0961086605894508,1.2383966379857039,1.0729471964097161,1.1161581939190588,1.0908798664429737,1.044066542692541,1.0235907444236214,0.872386307519356,0.9289212986000371,0.9125011345732729,0.9290602511752964,0.8592296411103313,0.9292204400039469,1.182507307187858,1.1126825449751943,1.0464958165904827,1.2220957282253448,1.6533233918849364,1.332031639518439,1.368836888246739,1.5926817006196936,1.8134956502797268,2.0539107265639207,1.6188415670808007,1.2470362071484655,1.1260942046788478,1.5357126733768927,1.409841834674785,1.496649064583229,1.235960041275426,0.9790070336508018,0.8342686260899834,0.7299229659490478,0.6872779334720749,0.7908840787411292,0.8255335223039045,0.8353548708506017,1.472280260463126,0.7990449989939467,0.766700656650825,0.8501215574961286,1.1623973654426785,0.6687632619090362,0.8608779300711265,1.28893803022545,1.9269194740532187,3.372542885598613,3.0414783076541645],[1.5806563811142083,1.517980382458622,1.5849285213664326,1.3151961536770844,1.3049943478205333,1.2291854046542299,1.026749785094789,0.9486383416399277,0.8168292683524433,0.7713226740346105,0.7759021286324156,0.9129450698032056,0.8088607307326692,0.715909745773779,0.9299262400214096,0.869387999004534,0.7995191412970593,0.7922556855147286,0.7684401366845713,0.8058991338871407,0.8158218400696694,0.8264674576566626,0.8672234881244605,1.049371954544004,0.8955825159534525,0.8881675659989152,0.7912880684214405,0.7906304148700221,0.8025183559498783,0.8662149284180826,0.9664673089737241,1.0435850454383564,1.240267683656981,1.2305471712237919,1.0944503199012225,0.9098935375593397,0.9675040821894174,0.8434565533389967,0.8228182207526694,0.8308839227220884,0.8394238621158692,0.8590812330870443,0.8630064769407422,0.8725613165599463,0.9875010174422255,1.6413222307719397,1.656954738524082,0.9995055286355282,1.7702912476681778,2.3649236347440943,1.3699128808038314,1.2317690981723652,1.1426159384601098,0.8620780109976909,1.4153916296843498,1.0103373083967702,0.9452964816142538,1.0116027025549013,1.127944142725574,1.0823535915338975,0.9078180194642566,1.0812886173280958,1.039850174508872,1.1321236743299068,0.893265733496103,0.9522565168391983,1.0273182644026686,0.8984457282902956,0.9344528502102157,0.908776200476558,1.0822917729243984,1.3895162877820633,1.1328626843553071,1.0510973819667078,0.9675286868337472,1.5149694217952856,1.0089742823591465,1.1639328370235213,1.058259045749008,0.9974079488358527,1.0475211049365418,1.01630915793324,1.5502351031451744,1.0446434877752704,0.9270282668452133,0.9558169585455636,0.8907041469944664,1.0959931286848228,0.9479210521491407,1.1843241982879305,1.0670887952242578,1.2429571150380965,1.1773211385688556,1.2336043438536015,1.0745007333515588,1.1958572407772239,1.0997940596881244,1.1564517901165394,1.1437529387894632,1.5016493777323316,1.2630310450200188,1.3899196196247237,1.1985105550417638,1.2221096217373253,1.154142679656745,1.0875857587504925,1.2434641423843071,1.1562308700877475,1.1937652325811656,1.1171018286205874,1.1072766718772598,1.0086626788039639,0.9407845789643826,0.9717379310498052,0.8262258142712953,0.8727343524356684,0.8029149732502802,0.8677493300371497,0.7879117806460754,0.7800693096208199,0.7618478346623465,0.7395823767456237,0.9074067949366822,0.8972777787067505,0.9497870147151785,1.104665779113117,1.1301160047963394,1.110570907744677,1.167382684767104,1.111942459801022,1.263629550285533,1.2200743811267682,1.2150245304576357,1.148833716770847,1.242564818966532,1.2305218506001683,1.42293281626831,1.2023686098532171,1.1271376819973207,1.0502020259428395,1.1944470431123206,1.1114021998022394,0.9086795775904021,0.8956266299034483,0.8427697077880754,0.7991880211873876,0.8236099172068774,0.8491266850060801,0.9048101345457653,0.8991930312403096,1.0323755665031915,1.0733615760722643,1.7802384830684557,2.0292188364790524,1.5714891352193763,1.4224229359396345,1.0842503790392855,1.1493383754247788,0.9871546151602393,1.0923913115859663,0.9396855460310085,0.8784383905321362,0.9228813685353171,0.8940185864777085,0.9432271603505265,1.174533710108862,1.2218434349238199,1.4599032638727651,1.5621207505196815,1.5022157118713733,1.2725307442419462,1.1443650940400192,1.0338179948152915,0.9645741149994952,0.9620895032742408,1.0570305107638802,1.038026120003203,1.2213468287440516,1.0232859583426985,1.110918236093275,1.0691101936170524,1.0416040132949516,1.0657621843070124,1.0893800509064089,1.0740152338239646,0.989958398032077,0.9168216304519112,1.1796409161565016,2.214509001836181,1.2140961381714779,1.3185299687056766,1.1535635940035747,1.4174592011060623,1.464768277390103,1.343555495113915,1.364923212317327,1.3721605707342925,1.3513088357386651,1.4253684040583456,1.288390546686294,1.334790354456021,1.239570576756921,1.2415664442323295,1.502559014746753,1.4407161950265042,1.3678854552509119,1.6996415326064687,1.7552284779535041,1.508497749023742,1.675939549462789,2.010316953632465,1.9502084515836446,1.751746116202411,2.2247648617657374,2.4590087792193263,2.467241137829399,2.418604795329421,2.6018003732011574,2.226404797447312,2.1744076156991343,2.1261034502967107,2.133783286921999,2.539728898689228,2.788362795778501,1.7327049457010433,1.6338000972063857,1.574921805579561,1.6325399210378542,1.6159420821640673,1.613152697195469,1.566002975280969,1.7053884870567837,2.123858209867963,1.6523687933011415,1.6169270397283677,2.0578444100238236,1.8830653786419818,1.617603620469211,1.5093556175455884,1.3127107071199966,1.36358681651602,1.4569690891096485,1.4447399914167676,1.6497186900699103,1.4994743542136166,1.3829148764631156,1.4525167492121278,1.6188882591446865,1.4514596319080038,1.3622095501364158,1.5315993711398699,1.5704295486820266,1.4182025779593477,1.5312335414392653,1.584505684408459,1.5208035538807663,1.6436739563753426,1.7054250811035465,1.7274419194469206,1.6205919832564053,1.4822590211845383,1.5670968289938283,1.7717886354686765,1.6755632937631257,1.633393410117395,1.8206194687763917,1.9416441648176128,1.7862901187439764,1.8934128090206017,2.2642625207872653,2.1955817694572475,2.019644734030475,2.3009746404833034,2.717074291838273,2.3923938888583556,2.416846793912489,2.629535106811769,2.9392474270188305,3.0614462496051917,2.7344582838880385,2.3382037369455397,2.166338350037354,2.5418175348268144,2.370724001647983,2.4763631611909545,2.115369450915756,1.870700183640751,1.5801549200858114,1.3906094856194164,1.2897879795439025,1.3148962945883336,1.2487346035839404,1.3685468660476585,1.2288535761016135,1.1704404889042541,1.4186910799452668,1.2899387308397872,1.1717014715992584,1.3378580315702777,1.4984454546013193,1.6428846773135797,1.942847560662125,3.615064470873219,3.2666094243316834],[2.548660797968477,2.521068313753399,2.492420325770461,2.406656975182007,2.2344039318108027,2.0667514476717406,1.8155814510289991,1.4725651807334765,1.4337429999627418,1.43862803107055,1.2554741646839649,1.1817051794474924,1.284944871386818,1.3008974887330713,1.217820901242518,1.175614102736798,1.318705671192911,1.2184878852819216,1.3079483966362708,1.268457684717997,1.3343433099269928,1.3108039544789187,1.3544460727889642,1.677433127890308,1.5097416052654389,1.571293045267581,1.46730072682688,1.469767247248839,1.2756722983672002,1.2123284838419537,1.1414466443582154,1.1826519089358276,1.3090916267036792,1.3040954307034258,1.2300185295344073,1.1516193399827028,1.2191488418307916,1.293763809550285,1.3778985312295502,1.3555137178593772,1.5229163749468442,1.3803320383162725,1.3605029629781369,1.5079031759165806,1.679252743197652,2.179550175618736,2.1726890251964086,1.7161770239479228,2.2222068705193214,2.727914650488651,1.8882123261422588,1.5041073034183523,1.5859580840597407,1.350457277614891,1.5300600494169216,1.300899154016569,1.3740741971220414,1.2940888606408982,1.4078715250427778,1.4596231053780064,1.30181192410377,1.3018295161840219,1.2107833929498435,1.3051348694199285,1.2073148068717667,1.261696911777779,1.266557265318529,1.143130341057318,1.2868451473375853,1.146644378551974,1.38933572856516,1.6865059362179835,1.2035360794486494,1.1663309762226142,1.0909326070180705,1.5222651443372266,1.1281571755729085,1.215130610584988,1.1805066552000136,1.1996851004205555,1.255943895778587,1.2563556479839562,1.60414622078345,1.3399692683911149,1.403121714798124,1.3315567628376206,1.2770409188306981,1.3205757126881281,1.1636423428693918,1.2756882293818554,1.1453442578782056,1.2643411249946264,1.2001658246994762,1.2758964322483106,1.1698840883206678,1.227014726863246,1.2509418401499643,1.238961334123933,1.255858522386778,1.6130890360844141,1.403815613608426,1.5197163012202708,1.3912323067910501,1.445148367580006,1.454035472661084,1.478986630494423,1.5929605707145986,1.634858981849276,1.7265943650459141,1.548637151916502,1.6531679346256831,1.6112150414648678,1.6020881167817276,1.7544239999982605,1.586130065730056,1.7600183483949872,1.6273846152516083,1.802963309805838,1.6065592121402774,1.4729154182890853,1.548178061793912,1.5404466364756881,1.8821551030622203,1.8614499663574577,1.8651263086388497,2.0429025786933366,1.9592316416761502,1.9046468798075677,1.91388881078642,1.7492481872236632,2.0368287857812035,1.913139781222677,1.9712916759376329,1.7216409795562282,2.0251326608150886,2.0373222554006354,2.319945523865954,2.1568157753399455,2.11877142179501,1.9836297775783223,2.165181833550059,2.0479241580190126,1.800038885096638,1.769053144917515,1.6218021710356865,1.4434145009398933,1.5534277465221122,1.440885579033766,1.4376318480340193,1.4056200536297683,1.3712171627915726,1.3059345801368556,1.8515732307220356,2.0490771596780406,1.6471163971943086,1.5253233780599988,1.281914784453398,1.3707564024708412,1.2669073108351574,1.4469160996821493,1.5612258441592597,1.4201241203126178,1.7083065388510161,1.5675769219604005,1.7456636083121377,2.0754142880868307,2.1340399067075717,2.4614474097229597,2.5602365261999003,2.521211624984087,2.2059521153481176,2.0226616651779024,1.785775522782409,1.5989935687901176,1.4571936312708624,1.37268026793437,1.3057148296472725,1.3879613157067023,1.346853018175898,1.4500490158724577,1.5972307852672725,1.543804933904745,1.6195678297690306,1.7138649276954168,1.7788350668824926,1.6385482397555757,1.5904932628789232,1.881599488735743,2.63956936034645,2.0260164751339578,2.153444310514811,1.9621620893466598,2.232555317953624,2.2822177371330645,2.142776859684073,2.143874486248039,2.192360695981578,2.11417239664442,2.2102522291154805,1.9548004175927385,1.952066443390303,1.7274755606094134,1.8673418289945192,2.234106885392909,2.016509729055705,1.9616498826574411,2.560231031595412,2.494551304942706,2.0073125260020817,2.4170883938460586,2.8323620228781303,2.6254666312501778,2.396189271688271,3.1079183602400375,3.3391520052800923,3.403961607072628,3.10958768479148,3.507355179861601,3.0125044248681223,2.8168288547169316,2.7130619199341255,2.4243920311428315,3.0080785926541878,3.104520735157294,2.1102299644713924,1.9630800417758765,1.8845389812129734,1.9703860633125252,2.0644539453622457,2.1750997666226897,2.0504419748381206,2.249841968232301,2.719405538545717,2.3152136230569993,2.2709275088941916,2.7855440172367185,2.6662628449831955,2.2913586817066935,2.235468269152954,1.8772351474377358,1.8556841373105952,1.8785967440438065,1.7242155404320405,1.8400521332212922,1.651426440054204,1.6761665601478817,1.6342782079038514,1.7384253436075447,1.6699224231269985,1.6552478242073394,1.6781564492756846,1.714885683577662,1.72160172481555,1.7515631545696273,1.730991076492446,1.741815084939691,1.9803672704028892,1.9263306306717591,2.0729196365794285,1.9012269639123964,1.8042258469288595,1.8903617870323237,2.154106653772595,2.2180622051130348,2.1421396817611384,2.3756588889638666,2.585381031989072,2.494187914329767,2.547448185421521,2.9911690241023203,3.0405290295477037,2.834944797706755,3.100213922721995,3.581231598410491,3.3702602538676136,3.409983228345728,3.6348090810405584,4.039131329697834,4.0345638640723385,3.841727839107055,3.3300315919332686,3.187908108550213,3.679846695593759,3.457803104322282,3.577510256938171,3.1553720553436615,2.793165719233088,2.481180946899636,2.195333591663791,2.1236025901336273,2.060465738493867,1.7752765249274363,1.8004418496604633,1.4338651829790794,1.7272401672241464,1.9773186918384167,1.6404994433595113,1.4861935202252685,2.0581854627794782,1.991896325183348,1.967313118678731,1.9241464311153342,3.4941023720608118,3.4204331988781957],[2.473179850780763,2.4371269483098796,2.5115100127910486,2.1921972987568115,2.127743699468736,1.9201341367788376,1.6463049760037465,1.425051417684375,1.2622446479259237,1.204909917514934,1.0973557371557277,1.1731125515023806,1.1639997954739971,1.0577629659841177,1.1107346322598444,1.1123790544844512,1.1048887637010145,1.0283581922425693,1.0411153208300141,1.080306694167431,1.0690890370787018,1.0992922512501009,1.130269488957837,1.3811540882727464,1.245166425329296,1.2457496926592666,1.2103999986337266,1.2129917830059005,1.1187163531301123,1.1458022842986548,1.1507707246672259,1.2461490099704453,1.438467399570597,1.4305436164229577,1.3049398488627997,1.1233853203662822,1.2197348429241368,1.1709655159200634,1.2302546303307993,1.2466642139785549,1.337762669016185,1.1862452887517745,1.1943487673305762,1.281840693358276,1.3801688649771524,1.9892529901212253,2.0013548857134866,1.473505908336633,2.1106313236015826,2.732725087455781,1.8212232275430844,1.5021250591775168,1.5125243543468978,1.259592808121978,1.5972109492311723,1.2461695695418415,1.2304918611027693,1.2298765428509228,1.364166591886756,1.3260633878094679,1.1514462353645933,1.2983282977848856,1.2532346745940437,1.3239581870246648,1.110883683755638,1.1873741041946453,1.1742175638835188,1.0695630391435804,1.0881350932373965,1.023404239908788,1.2036003287089299,1.4734592102631643,1.1843788900819197,1.1056935637915977,1.0975465691749513,1.649060402139403,1.1754355265552194,1.3305346620480178,1.2620226316675587,1.2306255848397687,1.2904496345888556,1.2758720202718516,1.653495566970802,1.345971430635578,1.3677518734563745,1.2965136914244886,1.2073546291132722,1.3532740556692693,1.1640360546705233,1.3788132203220629,1.2385101671023164,1.411003623747832,1.3618834748387167,1.4365455105583382,1.2573588122075665,1.3687752863370934,1.2947796265085827,1.3391787698264603,1.3269535527575194,1.6606043004452447,1.461621337821463,1.6099660369166655,1.4747366096336885,1.5391847513425896,1.593628172589019,1.6076429059569401,1.7784460032715816,1.8274485829888056,1.9021110197752664,1.7161065992012055,1.7519712987270437,1.6101630573591053,1.5105169648311425,1.585400554579225,1.3405365453997584,1.456527244459708,1.296687293976781,1.4226633702624818,1.2471231253553503,1.1512710113833544,1.185247137712806,1.183230590168817,1.4610981192060264,1.4978150841932005,1.5598721519659005,1.8091071620598242,1.8633852144936387,1.8522836051851876,1.954255268927508,1.8293951889419287,2.12066442254636,2.0812062152774478,2.0562326475969503,1.8338460947966608,2.026268895512819,1.977700008231414,2.262244296152845,1.9862611996387662,1.8442058257563116,1.725416589348291,1.8140534817572815,1.7033457190360473,1.4795475843222816,1.4982652870997268,1.3986621686117968,1.2629570879141256,1.3498521772052858,1.3104561652175113,1.372946221887028,1.3368992571325078,1.428486065226477,1.3521228255225668,1.9141703497265021,2.0688234046064915,1.6976398637851635,1.5976486610351754,1.3214039056796267,1.4240298313866013,1.2866456517220173,1.4647942482240575,1.4910993443856184,1.3284882429871234,1.5287044760421609,1.4496817635663652,1.6198252087887473,1.8883308920388324,2.0232176382809772,2.33339206667488,2.4738039792919255,2.363345247849694,2.10264033572382,1.8868202866129387,1.7045261033646952,1.564774310276219,1.438624125463459,1.4278375723646448,1.336994519084248,1.423173805856306,1.380626948174799,1.5033193572520318,1.6289834270402013,1.6004815260873966,1.703928259469123,1.7806878418770407,1.7776953860487552,1.590828277690131,1.4955152553995124,1.774798259083896,2.639798542619852,1.9181660608024413,2.0936298295854554,1.9070432250682918,2.221257361685703,2.296055312085192,2.216087640058187,2.270028275167245,2.303303386319576,2.3183089455049304,2.4187195747129753,2.189696476726398,2.2887344807556858,2.0631584800833296,2.1039853499549945,2.5024099815026584,2.392663166355906,2.264920199619125,2.7227310515977363,2.804051545635578,2.4301428394867726,2.640843869332988,3.063745221449191,2.990514820790767,2.6937478889415827,3.2170700425917884,3.5859119343848693,3.614044117183077,3.5155198508919185,3.804877234001742,3.382562845105037,3.3024699494919636,3.257143978157838,3.094313509294694,3.617383303703797,3.627229456872141,2.6900093924517217,2.523557887976516,2.3390703043089554,2.4778965865802967,2.5983489273970872,2.636331808836214,2.4800909121285963,2.7303187304994543,3.1356116302823662,2.6786860439710423,2.6140796749490933,3.1492039499215645,2.973276435922202,2.5324502597350675,2.52255018721379,2.1971324994005292,2.217769696534505,2.27591752416893,2.1116161713701493,2.221912900331752,1.9983076552960461,2.0518452527469853,2.0783839837080325,2.057755084090367,1.974715762564277,2.0664512314392405,2.076719647215924,2.0481813779601143,2.1273857919005343,2.263196532878507,2.2200616566648885,2.199652244228528,2.500163741925287,2.516577777143399,2.632590961454461,2.4869769087918683,2.330441598627073,2.4560270479113244,2.7387502579600396,2.6872951564832213,2.6360624351110147,2.896057777687121,3.0517500335965875,2.876708629229258,3.014780156178893,3.450224336481228,3.3658791936204837,3.159751866213093,3.5042601456856777,3.906296328523292,3.597324266537422,3.5929359898573017,3.867809958039578,4.214500324273241,4.242505850557526,3.9417073398977327,3.4770004898491647,3.2317984042602457,3.6534906725573464,3.4741127185824783,3.6417383292576124,3.223539506785555,2.951857676642824,2.5495042495149964,2.333063899796054,2.152402831597198,2.1598512246386905,1.9872031889454276,2.0800344804773596,1.632048984346391,1.8601021634259387,2.180187914451548,1.9042420906749187,1.5965417447291217,2.0698106931344333,2.1967792454719834,2.2693489612527613,2.2691968667225297,3.812511242000953,3.9112844007393175],[1.3178962667196428,1.29030937161276,1.3988226378699151,1.2485260627292223,1.2209447844625814,1.2108898371269154,1.0710650840925162,0.999801555042599,0.9346856154453221,0.9095527460166435,0.869576768673797,0.906248700230821,0.8687468005759115,0.8612123674390226,0.9431466777586746,0.8755644543027165,0.8882726396833902,0.8725736119306452,0.9275246527808004,0.897145097415168,0.9714948171522566,0.9709679601982469,0.970404746763651,1.3161025788545824,1.1150256923143935,1.1273370073795805,0.9695385950985266,0.9626707733993844,0.8828147547768663,0.8942019362707568,0.8941387585636636,0.9459736070788723,1.0784962932845137,1.0486164605652248,0.957947751653599,0.8894285845550656,0.9343611469827616,0.8965404755832359,0.9112697641504391,0.9212442065004375,0.9607242533644952,0.9673619046055214,0.942312363874724,1.0405664255944815,1.1707723771184337,1.6610718880145345,1.7000895295674432,1.1871660204688566,1.7731630187434446,2.2982487198526873,1.3671281592324598,1.226220741482591,1.1080122061710775,0.8599366751765122,1.2839599004903477,0.9822672190230791,1.0123709386459245,0.9734832463745705,1.0869942281635003,1.2398022994469216,0.9868736410736769,0.9658100218704755,0.8994798518903183,1.058745022184705,0.8900519607176269,0.9309170040148471,0.9967593666051386,0.884264155212192,1.0663004597644712,0.9724003869378716,1.1993970395607536,1.5370673777718336,1.1341546362204216,1.102115028531272,0.8928166067923046,1.3629193579331214,0.8967791883605724,0.9999335251264695,0.9115493950407024,0.9276068872968576,0.965355029737892,0.9829561799188659,1.4694494474272823,1.0443466390213643,0.9869971141580114,0.9594635982708463,0.9123422836327801,1.0342307552579644,0.8947240827689142,1.0170853484561095,0.9252887346611631,1.0750388276290195,0.977428808598321,1.024450284318871,0.9506711588109693,1.0139441679836791,1.0013492113313889,1.0093529982849838,1.0273256448013102,1.4076857006772376,1.1747138337941652,1.3381989730416843,1.1261230797793154,1.2251226531930997,1.174201766612148,1.105643321019786,1.2591594856511368,1.1640266871158087,1.1715474828258057,1.1331899048402896,1.1037754351253075,1.042841653929309,0.995359808725239,1.0540542521552974,0.9609463288059157,1.0464743870877045,1.0417525729372943,1.1118796402332638,1.0616268256926562,0.9725823212219635,0.9845578346269668,0.9695946319553688,1.151554281272644,1.0872306798973697,1.088082212221703,1.1918212273529407,1.17458603374049,1.124383793019771,1.155067249819689,1.1045520639263535,1.218611048514672,1.206817672242087,1.2007825822883373,1.1382546786995231,1.23211395343289,1.2300019900662746,1.3820170788505222,1.2627663000538785,1.2393037762448724,1.1884137789966607,1.3956065552604762,1.3480490174062505,1.1387695922765524,1.0762406300911598,0.9923259314261802,0.9098130574842885,0.9484917739048523,0.9354090163242423,0.9599089860582942,0.9617490584668655,1.0534551515213875,1.100611556198228,1.7752973399399863,2.0438447629512093,1.524988443530452,1.3745615110106797,1.073329380711875,1.1460394338964184,0.9870857856441672,1.0987193865268112,1.004059691434609,0.9352420346145328,1.0420253993986528,0.984552105965628,1.0458680250565802,1.2605341656189404,1.2632760345234115,1.5489341648879205,1.5908954034737914,1.5721048455634323,1.2929557332823771,1.1850148482728489,1.0850169823552955,1.0482466714053054,1.0178111485700179,1.043580350273287,0.9874479003039403,1.190655329323803,1.0025643712778343,1.1264326161406202,1.1379219262934046,1.0794270021500179,1.0948173674695563,1.112128181025811,1.1200836587784049,1.0424298532734229,1.0060194035528063,1.2601728780086312,2.207277375648378,1.3118850683163337,1.422066948325624,1.2345585315561334,1.4653226317966304,1.5185615570365485,1.3430843832598345,1.3077607841646313,1.3107660919804922,1.2874352053454488,1.3228593365096877,1.218742265857824,1.2264585500591392,1.1973661928816282,1.1693040622749982,1.3406616916288476,1.2725949018393192,1.2208072922487716,1.4949801557087152,1.4850105874836395,1.3215505899043742,1.3994518018241915,1.656254959647526,1.5667731518433838,1.4119888634892672,1.786214387476442,1.9732490217167007,2.0581564820404314,1.9627685929316359,2.2070056347932687,1.8707584550436624,1.778834650591256,1.761524629558271,2.014517612809653,2.1438155008715487,2.3156933345045974,1.4993751838161904,1.4846680081621677,1.468659472468926,1.5129208294782637,1.4780520826532575,1.4585485407375207,1.536983769701515,1.5452357962002286,1.9097967319055498,1.5227066925718387,1.5074625167337903,1.8860222858626703,1.6962118062973808,1.544884881601996,1.383498603903883,1.2579153944292754,1.275940276676869,1.383714707491186,1.4464527937384202,1.758169954929058,1.5631233294253144,1.375951688606408,1.460414080836761,1.7159216713047927,1.5285724871426707,1.3513960614842724,1.6099566298704935,1.6827943114342647,1.3793942229658709,1.4945432098952407,1.6464044907065265,1.5563738220486822,1.451810982082707,1.5517272122333043,1.4764833919205362,1.4733343407383885,1.3957074216764223,1.4216969808275568,1.5251861567757283,1.4314801580821224,1.4469294326690614,1.5542092023236402,1.6407361475140698,1.5391385514509792,1.6331139116029885,1.9579917297984715,1.9054222608165565,1.783143772037973,2.027985971066157,2.438127649989155,2.167536127245012,2.1676411525293244,2.3946394146257886,2.6984617211318045,2.7838378575890697,2.459002436394536,2.0393732805033045,1.8911913123379127,2.3264772485108005,2.184811916932493,2.311733664529215,1.9811599184595248,1.7007632724184687,1.451855198170873,1.2952755177035165,1.2291033687116866,1.210277494634104,1.188556622364793,1.264642810765907,1.3899581833057135,1.129774090243378,1.2631713313813793,1.1896241174936217,1.1487397729727027,1.203292606171265,1.2797848116197659,1.5554793780677671,1.733205857246438,3.303629575305035,3.286111794034524],[1.2783183783053682,1.2960162778233548,1.3465449726399057,1.5162900366462118,1.3572847206105665,1.2811697159118647,1.2020037175329445,1.0080874150229964,1.0785505083772307,1.1787659706235973,1.1001890524767768,1.0497292861328738,1.0582505456796425,1.2083612720455505,1.1461794599869986,1.071475898986244,1.1843162046655507,1.19520571997308,1.3466119588548604,1.227768396428325,1.3794518387792523,1.2673024003842168,1.424803783782292,1.7608356492842963,1.516766800359415,1.6111618083834736,1.3598825263359282,1.3453574495924057,1.1499471503182692,1.046217717421759,1.0450818887315974,1.0372695356237251,1.1004322944808347,1.0920531246452587,1.0390429149935794,1.034662941509564,1.0444721303694524,1.0921461851787115,1.1178068636481304,1.0692702903353848,1.2892025752330243,1.262228968151068,1.2265984515388173,1.3622811211444235,1.6227588402840374,2.0979708161881256,2.0957208131567597,1.5283489865763793,2.0817769133774617,2.5435380592942183,1.6336401446618551,1.3102167427417835,1.231558581397438,1.061807680127291,1.2962269539201363,1.0728268414440427,1.1997847033153914,1.1046980618106772,1.2156085805664527,1.4315250482434545,1.2240473683343986,1.1727740340696815,1.0751572468791655,1.2759929863295474,1.1904192081725462,1.191015472029123,1.3067268730244845,1.154037683725686,1.3892544187238636,1.2704941825384037,1.5474401075953634,1.865879311519646,1.3474454087146976,1.3499538561076834,1.135203450792776,1.4724132077400132,1.0627073814952983,1.039392824936251,1.025410282222228,1.0457425784937633,1.0757374865937164,1.058375230164067,1.465148377657655,1.0189317981055037,1.0692632817070855,1.0566764227610688,1.0591393127283346,1.147649421146503,1.0335807503342842,1.1031344194077706,1.0412702098580686,1.058083692263113,1.0366587206621174,1.0592706395515121,1.0450806463736841,1.0667575053765566,1.1860784027672042,1.0750161688831774,1.1110835253238749,1.532818432239099,1.274695017673796,1.4920432864444382,1.1988752271984129,1.2747520834936419,1.1629007888186667,1.0896640059789926,1.1983890119553908,1.118128901921859,1.117923757960989,1.0897995524792834,1.0716060542262664,1.0589567512590312,1.0674687044140498,1.2259741697862272,1.2648225744827049,1.4629728623795453,1.4761215262203566,1.6368758451794163,1.6030565929574012,1.4613322502045467,1.5331954417715112,1.4693049162686913,1.7300129617644986,1.565891795639123,1.4324491858108233,1.4680370507232277,1.275019566261346,1.2052872632934766,1.1520256291362516,1.067824682508983,1.1961590695652389,1.1384764531086362,1.193654581984716,1.1067983872713403,1.297427547748716,1.379714050649905,1.5539188156141615,1.5461035096589268,1.6174466389262112,1.5432805106960918,1.8627661268232885,1.8023374480697052,1.5889969856363784,1.464703649826034,1.3197420566704237,1.1635087135502808,1.2240787273654057,1.112702271504068,1.0360993927212108,1.0359698001225888,1.1096222178350343,1.1947738285577074,2.051616191927876,2.3433466662506217,1.7359186583483956,1.5447968050587726,1.1624004161307677,1.2117797404538306,1.033952780219846,1.1480137700494892,1.0880938277299343,1.0815282494295373,1.2850966682934826,1.155314941437497,1.2734240489000153,1.55667442826831,1.4970844159743726,1.8497962697952988,1.8673982121976653,1.892469134989243,1.5194610439116638,1.4350664354624678,1.2362842552413857,1.1232814802369075,1.060566596931475,1.051204590557181,1.0430684914367514,1.18422804538974,1.02171476657305,1.1006687669699498,1.1797073343902114,1.0699176101008863,1.074853085213612,1.0963108901347551,1.167352695668761,1.1470831931621461,1.1930711306569055,1.4514076536802611,2.349338677014648,1.542156821324992,1.5672585998590776,1.3792052342861034,1.563484142552302,1.5857914929087007,1.3586367829433776,1.26354769346596,1.2860386257589589,1.1889035268844188,1.1962360854775236,1.112205654303415,1.0677892316183075,1.1634203105456156,1.065921610199953,1.1479136344520602,1.0862355291487726,1.085682557354785,1.3289652025549383,1.1981591671398886,1.2154895640766679,1.155132270523883,1.3548601332439087,1.2177331958962687,1.1792354611853948,1.5173846546379257,1.618707921271131,1.7868353175476648,1.561551125131508,1.9079142643982485,1.5025865522730513,1.3366028223638853,1.3233271394179476,1.9743968648109578,1.5549371437740391,1.7215937510112953,1.2955851534032699,1.3773895521421908,1.43769597265192,1.3880857702696172,1.3146983479812155,1.2169226287348203,1.4384411517739046,1.2682512715862153,1.5890023936993989,1.288633976543823,1.3079115487290016,1.654059067004466,1.4919140244278752,1.4702086230670388,1.226691506656533,1.1465260709426415,1.1262018921782846,1.2948292693332315,1.5153727429791095,2.0017178059786374,1.8453783404034305,1.4628238622445626,1.680196535727678,2.0856917112069446,1.7579729761650795,1.4896693160588688,1.983068598121492,2.1092355101921467,1.5427800650678778,1.7370858898619923,2.0806976372048727,1.921414144423436,1.5145605808869194,1.7246555762676152,1.3994878350231255,1.5155650732142414,1.4526667984321018,1.3897419110057343,1.3563148943433232,1.1799735323494593,1.215319325077397,1.2358402173926437,1.28022234687717,1.2336144338356065,1.270597020610735,1.5936037807540582,1.6127871564330176,1.5263419055000513,1.7055866732858636,2.1952781805246873,2.0310511041279287,2.059179027556005,2.286766071714028,2.678765203314161,2.6719003414917477,2.460944633665726,1.9019477585752107,1.8265483994133784,2.463129788452225,2.2613751932731327,2.3839596323829917,2.0244895277261206,1.593228626772934,1.4239816502435845,1.2103736351504304,1.2306604510160777,1.1381458010370389,1.0883588406453433,1.1030208533551087,1.7024518718730852,1.0669674697240856,1.0792877347106167,1.1480993636778765,1.203255660927735,1.0963824953229877,1.1243009062712512,1.7674388757676414,1.8106366962901141,2.812097301850278,3.0703338056091893],[1.2974782222387873,1.2681357154697086,1.3480391251749473,1.2917349234380495,1.2605967028155132,1.1858485368005398,1.1704657205090008,1.2745866209578236,1.1542148379667339,1.0967973222402756,1.1422241854730824,1.3605444850677901,1.1679066402821618,1.0656668212446545,1.190538057277056,1.2222126185697046,1.0859738237529994,1.105791277781665,1.0614189449575553,1.1259845343616282,1.0804777717757024,1.0414087107676093,1.2667432834659542,1.3229199659048256,1.2631970271344652,1.2096506971423087,1.1033573882266294,1.1233230503265788,1.1535177141303519,1.2113089159980723,1.229371994735096,1.3826271535520174,1.5008252867801941,1.4642105015025202,1.3765499694055359,1.236943805853277,1.3136256523128111,1.1712880567957484,1.1326988145043815,1.16634318532559,1.1689529875697704,1.1673638340599002,1.1480221513839337,1.1767153466541638,1.3228535279222486,1.9475597918435756,2.0511446738558696,1.3793523352821497,2.1313739724022858,2.753320502396838,1.6975887805304408,1.6179048433875396,1.2287966738550544,1.1308867508798437,1.5636607571359737,1.229731453330171,1.206461080748146,1.2215406653571983,1.31427271838492,1.4023903985786585,1.1313240547185262,1.3095321713112589,1.2764237142459807,1.3100424004993263,1.1222906692247077,1.2140032538632222,1.2342045558003472,1.1499501349626642,1.1506109368249473,1.141469466779497,1.2601757595709755,1.4668807964748938,1.276504256289081,1.247042614195598,1.187191002108712,1.6844142197393244,1.2434684074764344,1.353530790816965,1.3188137539291669,1.2843100708310151,1.360856384042881,1.3377429788216584,1.736645292442856,1.310853829742637,1.2224348599520956,1.2638228930741855,1.2132570188260035,1.4401602670720504,1.236214231173917,1.4359975567423273,1.30912258230279,1.350079306122756,1.3296993498273217,1.4061085691783268,1.3190789248057897,1.3692450927650963,1.333720512833422,1.463953919309487,1.5094949917083442,1.9037601407572613,1.6638181292100236,1.8671088595908507,1.5948572891953543,1.6285536967395886,1.5093156546429567,1.4080233150651673,1.4964901509274149,1.4171023907157512,1.3984603941939509,1.398800092777923,1.3559486033243326,1.26526820380898,1.1914427960996317,1.1361899947969898,1.1024753839267745,1.114692556810213,1.1510388135497842,1.1455707089179057,1.1122858933415776,1.053727932318824,1.048271387248295,1.0668072723024589,1.1475696775110202,1.1083453123241984,1.1053973997970459,1.1834690866261737,1.2563539858827213,1.2156438869555204,1.2553410709237693,1.2566852293125994,1.2693954792471347,1.2986102317290116,1.2699288537748372,1.3188536300826856,1.283600524887033,1.2869710535966297,1.430647734996894,1.3121595152499101,1.2220819534053773,1.1864914359917798,1.3466546834916648,1.3226161234392897,1.1587052375699456,1.1305010615685465,1.1233263281058568,1.1194757510967386,1.113305409619369,1.1915302530353145,1.2235390489506026,1.2669280868079449,1.4838072741195754,1.5966474840094382,2.3605735598664825,2.598019592947878,2.0773591744488167,1.918580317269035,1.558330851879314,1.5945343858731589,1.3818746132027755,1.454563893701908,1.200541476891389,1.2023248644261328,1.1446211040791356,1.1646039521950862,1.19345974504986,1.2370724833676436,1.3010351156943958,1.5447145682979886,1.589025031999814,1.5472898269052127,1.3192931438217848,1.2607618518350392,1.2014256033526747,1.2478256465764321,1.2736466680105232,1.3876521156502737,1.3697924716903185,1.506934051830271,1.3295400862425888,1.4175120903275376,1.3672912839206521,1.3321874998650631,1.3011559385699338,1.2533411013864555,1.2241731714364779,1.203757278651526,1.210500911253313,1.3510897116667655,2.5049546232367863,1.3663731156287673,1.3777752102200131,1.258220411242915,1.4562713328088108,1.5210962057129327,1.3828567309346034,1.3472904952931304,1.3372277333981875,1.3259130782593567,1.3279400111980826,1.3266918189904433,1.3129330922062086,1.4535431345404208,1.3334269056620107,1.31407617482891,1.3242746990354088,1.3612457496755144,1.3766047968142074,1.3211780106977433,1.4394964868749256,1.320952656059143,1.3935986657595765,1.3537445192134556,1.417867177443597,1.4512909501033322,1.5689471208960453,1.7176688586846143,1.609352501446417,1.9326523149997659,1.5792385663397892,1.4699174152552932,1.474889286552603,1.9934396329591317,1.7281939615664774,1.7594589597728636,1.3965435740539607,1.4882597358588308,1.58477780605205,1.5426429103132049,1.4812771203923858,1.3850287855845094,1.5550600176379918,1.4511300331202477,1.7363994541442767,1.4629182315660392,1.4588809859445737,1.81931961110636,1.5914968554231452,1.6069719720160978,1.4062178018470397,1.3851733042390026,1.3478267421370318,1.4865392132445976,1.6863780331213107,2.0994302340210886,2.0025360624768282,1.6830417291209632,1.8279780045604104,2.2074874895311045,1.9565041249762076,1.7117768735051908,2.1238094491746713,2.2832329685821517,1.786950537727655,1.8700507430000501,2.186321413197255,2.1367282502670437,1.6804935210258902,1.8284442470634599,1.530637447532359,1.6257626363983373,1.594588165917824,1.5008249542182137,1.468354893021487,1.360990468946792,1.3924819851567491,1.393416022187356,1.4242047449227822,1.3795964265942355,1.4336332003776608,1.7038651289047293,1.6760528432977093,1.6130885245674105,1.8050872906425068,2.215311070514204,2.012568448646261,1.9857932437126347,2.297776876064362,2.60368450773999,2.65417152901559,2.2862100737988085,1.7996417911745886,1.6601913032908315,2.1819066482446874,2.055221724104213,2.208525076362986,1.9176253112321109,1.5805932114137333,1.4054570639236326,1.3145913596758294,1.2750590563240658,1.3297150974871337,1.3887040056710858,1.37438054250118,2.0671895721321523,1.3785097483227315,1.347823499093317,1.5184650198852638,1.6757481179149043,1.272820609747688,1.4257366912691596,2.338654190455683,1.817621491614864,2.5490583217676046,3.4806789106011604],[1.0173763551333437,0.9773533657307206,1.0387109623806419,0.9783996640001431,0.9803798713382211,0.9596794544320862,1.0231874228513933,1.2914992421674394,1.2054206635779467,1.1250591603313564,1.3055589388149154,1.6178160821261218,1.2845407245714358,1.1469853889197792,1.4188569654229266,1.415781524916678,1.1286235203744066,1.2098470820140843,1.0924174026078763,1.1605700984311567,1.050097892365848,1.0450501234507303,1.2379517313798678,1.1239679125609678,1.1763432804072886,1.079276526668023,1.0091259708608227,1.040641507869581,1.203741146054429,1.3404952025625991,1.505474431820351,1.6182649650585772,1.866859168288712,1.812369447671905,1.6455603512015553,1.423688657081617,1.4631017113854636,1.2187046772149126,1.0993124080398955,1.1195440690137284,1.0385205759454852,1.1603158954535955,1.145476292378801,1.0838626584088586,1.226542360814382,1.9240216829281365,2.055282619483391,1.2695542366438042,2.078689845319718,2.6990018048001634,1.6174211392508953,1.6512273934354098,1.0983812966466804,1.0486246936150263,1.5897891610021642,1.2477528983963924,1.215698815381844,1.2922289907079534,1.3662635524764744,1.4396457015609407,1.2001489928065034,1.4737546229994094,1.5026876906793079,1.5147671996316119,1.2568408164562204,1.3414399336501952,1.351113882027906,1.3370395027106694,1.2709150332275858,1.3524845817544724,1.3863492057686868,1.5852186567057818,1.5319650592185337,1.488232079721207,1.4711151970265886,1.9870365643245085,1.513637844666459,1.6961282259028903,1.5634115566586178,1.4554240215079897,1.4985142355975556,1.4101300408582949,1.8606978559083032,1.3325219515588467,1.1787319921384827,1.2876273554618014,1.2862004287660573,1.589308522094208,1.4149175921844732,1.7249317253300525,1.6277190486329323,1.7671317480311308,1.745808727211738,1.8266335444005146,1.6779809593371673,1.8280914086491098,1.6640788220603904,1.840788552997772,1.8491615884604247,2.2529673526982923,1.93343740206089,2.048059188149352,1.7537548868194257,1.7064722607801157,1.471550779587675,1.3479924504173117,1.3899495444669658,1.24809803933765,1.2213224200089672,1.2937711594781711,1.2172846011479215,1.149069236634564,1.1164311079548788,0.9810688504261469,1.0193034485428116,0.9014906899975484,1.0188832301896442,0.8791992187749235,0.986117797147046,1.0047345054347698,0.9417618720612096,0.9863394736755182,0.8756426782505689,0.8641502907061172,0.9064192236887236,0.908581457712062,1.0468708776103914,0.9835346705101954,1.0087945115558172,1.0395375809285528,0.9973928301681199,1.023137309671743,0.9953103590002256,1.1034825427207655,0.9909387024928121,0.9943204363502028,1.1520233535783084,1.0093793214900744,0.9167610751658658,0.9010299302074393,1.0071170559907416,0.9829511657238262,0.8832003311408282,0.8871380105557578,0.9411536377773596,1.065179928492,0.9943915351374027,1.1622564027986988,1.204739368330963,1.2992510456475093,1.5468322411134252,1.7799113171427365,2.5661556893622115,2.930655230238071,2.437580755598871,2.186578190509245,1.7637447372583162,1.728543656122275,1.5113659935134451,1.4818050980657138,1.0757308968716148,1.161077496240091,0.9341193675879212,1.0094857969440227,0.9447541162880215,0.9687908043691161,1.0065496945590384,1.2894575991063526,1.3219392238210255,1.2737774360079597,1.019219968021051,0.9743278435915368,0.9637460540272924,1.0859538545902128,1.2078039008538546,1.382289104340181,1.4408601296012427,1.5837349407446342,1.3442600938642129,1.388587797720852,1.200237251365787,1.204769903834376,1.1054234139898984,1.0418161372010473,1.0000290647729,0.9937431127355404,1.0220665542347998,1.0861670596444974,2.36584489087777,1.1030912707747085,1.1375224205318997,0.997468107815051,1.18984273456425,1.2723887249433679,1.1171021051302363,1.098350154359077,1.083004702451899,1.073685776072641,1.089169761766589,1.0847042261982762,1.0894391045548075,1.2696957139294691,1.13822182998092,1.0890100517862222,1.112025227974649,1.1487453689297316,1.1465238250331624,1.131494260570587,1.2429812944060066,1.1074470129072087,1.2022254740981306,1.1858362456091973,1.2311437957606841,1.2292628234759004,1.4273538972312974,1.564279877301442,1.5379682299503779,1.885311575600261,1.472342964211122,1.379098532857681,1.403920216927834,1.8451927459393522,1.8465596491103824,1.8863645943918332,1.2430617250858738,1.3337833534003156,1.4324985828904204,1.3804867773809382,1.3528831797179388,1.181518628586052,1.407536888885221,1.277891437792457,1.5699771832782161,1.2515998573545035,1.2601914122710407,1.6523420188746443,1.4252081734870286,1.4810404405413584,1.1884993156717871,1.1665150127402197,1.1433301765708592,1.2952187847130312,1.5263511813029786,1.969575866957031,1.8827897763142345,1.5183449858468623,1.6681122548270173,2.0848763941335777,1.8616853329085818,1.5474005293527981,1.967111685815028,2.1417266668851203,1.6160443353125447,1.6854838471520819,1.9957298259576823,1.9441427688513722,1.48716841244353,1.6320021844867847,1.3581807725420423,1.4381120542851893,1.4039043821613868,1.323131789558612,1.3205251498976742,1.1779908171339069,1.2071403029463152,1.2430820508067204,1.2798190542666699,1.1989065361556233,1.2981071675978462,1.6311438811382208,1.555556067470435,1.4686745473751728,1.7184472673912983,2.165738602813031,1.9297598313473077,1.8638151107930783,2.2659680717775923,2.551284420927289,2.5867070448586413,2.1478496304149886,1.6292068234810027,1.4214135120992422,1.9630135611527664,1.850102449521716,2.045273343057477,1.7258431887292274,1.4006783953103217,1.160710286604623,1.0634040228928214,1.0171096409074805,1.107018107809327,1.20185032541459,1.1697971611105622,2.07179185454972,1.1989429411596233,1.105638204972748,1.3482188648950457,1.6518045308024314,1.0177656541480316,1.192677049228643,2.0433043185908604,1.5956536122369904,2.473942587465643,3.1591057748647606],[0.8590813658733857,0.7442205531747051,0.747082390462496,0.636980929795049,0.6976149797902174,0.6632305053141577,0.6148693360839713,0.712301688794618,0.6514145366940388,0.6334376183854694,0.6803151867827757,0.7475983137998593,0.665512576827265,0.6552579837867124,0.7316808145858811,0.6905863827398482,0.7382232094546028,0.7305200379323001,0.7697045566124625,0.7227847516329744,0.872839036395041,0.8279460305522448,0.8879553004354322,1.248812723658891,0.9096667607096258,0.9356773623981347,0.7194103691839181,0.6825833561037762,0.6527956173736256,0.6530355704162654,0.6951604265738889,0.7341185537213804,0.7917683196681675,0.7730784535424091,0.7083135080047332,0.6698632660880014,0.6877696738126267,0.6516197281543546,0.6442926787553883,0.6331850488749434,0.8567947083313789,0.7239692085112146,0.7539286085484624,0.7703501401491135,1.0908754784466037,1.6988254057901166,1.799687888964413,0.9449349982759839,1.6892614707342555,2.293121393470963,1.2584888905885037,1.1763335355113673,1.0184035832798375,0.8089797607752022,1.0895591765708004,0.7511435923329702,0.733347520732341,0.7812116550518643,0.8836794449707277,1.1843370175261918,0.854551968544905,0.8270931527340649,0.7396325395363238,0.8812442293327409,0.8180164938113712,0.7848050096545969,0.8725076876712863,0.7652313700352855,0.924061743144414,0.859865614041425,1.0740303035878562,1.4368149370394712,1.0243475345177053,1.0630242951191855,0.8410601558043173,1.3058557924107426,0.7680596457339709,0.770135016858366,0.7114683683198506,0.7124049352552988,0.7328634123008315,0.7250113207031804,1.3061915802605806,0.7425952484541407,0.7045922949409402,0.6791473095336995,0.6780981277845186,0.7889735383500572,0.696021325402471,0.8126155969630917,0.7647948012105543,0.8860692113924713,0.794758054865467,0.789814679312946,0.7375201164469678,0.8003624855393372,0.8092926446345047,0.787487940801302,0.7947292462591193,1.116793204122438,0.8620547789694746,1.0144022868201994,0.8107954126390753,0.9098940858293508,0.8142135818361347,0.8304645093126202,0.9421585913717432,0.7706391819789996,0.7836760682196712,0.8026178352636792,0.7471058942493652,0.6466946333578188,0.6306051873238376,0.6253504229148646,0.6232679205128638,0.6882711586688094,0.7107787216514042,0.7560495317659696,0.8707719453862537,0.8591486511129656,0.818116612290247,0.7427902418493373,0.7688347605689991,0.6653867906721129,0.6304210261587925,0.6759662628350035,0.7450450321479333,0.6394352358895273,0.6565874534223821,0.6540590769331688,0.7029726305440704,0.7264377576139233,0.7105900311371934,0.7085463630908014,0.733197035217711,0.8003939611303376,0.865720743520564,0.7481549287701965,0.7335728742569543,0.7482860567195808,0.9224673603670704,0.9553731991453259,0.8000776503917365,0.7061869873680889,0.6740898074077715,0.6343039118049575,0.6269003382481747,0.6299042603086945,0.6323351673995758,0.6637618971971112,0.7857168994620874,0.850026788158247,1.4901666285195063,1.8260003314268234,1.3046294660749553,1.0402833882732097,0.7886216585023232,0.8525751686824745,0.6977479678601202,0.7682359733553952,0.6072810971777812,0.6268843032675032,0.6570449811818968,0.631635311976871,0.699158239621605,0.8743046695825427,0.8168573894195945,1.0885518284439293,1.0969011319607986,1.0696039573131608,0.7953585587080823,0.7107096794393013,0.6747768049875728,0.620745310463089,0.6279096173506025,0.7213803425840644,0.7263585543254886,0.9811779405737153,0.6840121609123563,0.8000841759652807,0.6948994150363081,0.6599214984225853,0.6487484329561111,0.6859655017488508,0.6987118766550383,0.704916970761436,0.6787761188519982,0.9854916449646293,2.033608096420048,1.1142143493925805,1.1678572839500123,0.8873281826884553,1.0487622354799844,1.0809483393152852,0.8663612585706674,0.7866835842093732,0.7692919958193762,0.7632035945700131,0.7898251592023491,0.7908851263647979,0.8034194262094961,0.9438696784779546,0.8141625796467307,0.8010294416368752,0.8646799883235653,0.8686884307290241,0.8238765722416996,0.845862286468399,1.024552522731233,0.8561346583122353,0.8842423258232481,0.9626017683028305,1.0410405501419626,0.9149493914678158,0.9924529964210523,1.0220282640997915,1.226238506262873,1.2169465671920863,1.0096377624696478,1.0107139930927451,1.033189652090714,1.7362358580834165,1.4559853991612617,1.6942355098006288,1.0634069405583486,1.1315001107313338,1.2419641338982554,1.1599011519440274,1.109284541114351,0.9125343857483336,1.1820396753618987,0.9848483421217838,1.2858588654284842,0.9562905087759576,0.9894764918498203,1.314846276799668,1.0454349768917761,1.2647228232575967,0.8802569450176996,0.8729711630662541,0.8839601778997495,1.04354799489415,1.1819412961758398,1.6086877148470708,1.3720188920620773,1.1447105999271943,1.3354601456910593,1.5953910427495552,1.3775066698555238,1.201792168887164,1.5523320745752598,1.6665343946636866,1.2891221397940709,1.4067405979057268,1.6366682418312561,1.596650826192925,1.308494711779097,1.470446775712841,1.2121754907465427,1.2497776253351247,1.1758778707805735,1.1257071865397752,1.1383077571752134,0.958690611731629,0.9840695724805653,0.9668578886786319,0.9428489807397425,0.8641325607542948,0.9391372255533635,1.1353823725208672,1.0243278084251672,1.0164347672619543,1.1519791445937129,1.5318369924956674,1.287867915280217,1.2428747416121657,1.4991633833795062,1.6379086201024962,1.9000312182619263,1.3939413019694347,1.0865868928966116,0.9614497416178285,1.3168051351185766,1.2655908258643906,1.3735369237545871,1.2116203872993558,0.9768126042083001,0.8546365547728008,0.7651576622625057,0.7123243457439101,0.8003996386237193,0.8005506637873047,0.8464555266102487,1.2700055991038002,0.754834600250674,0.7841002885742321,0.8842783462410216,0.9841092511896901,0.6892501069207311,0.8172234536272215,1.4361101757911896,1.5706540972834566,2.886905713795593,3.051756899358548],[1.125889456005055,0.9583974973958644,0.9232681741210947,0.8489491067321513,0.8265348020010675,0.7460713911280699,0.7460004479130293,0.9124190480810399,0.7185929537524381,0.637795753378508,0.6890367522099323,0.8899257161079004,0.701688146865608,0.60490975228921,0.7466705599201993,0.7268696731634018,0.6393827740973754,0.6657360158986064,0.6907162278771912,0.6639743889829707,0.6740680627254286,0.6630307720474304,0.8547780355494908,1.0792036005878396,0.829306428261155,0.7887716856240532,0.6220418413108691,0.6061005608629084,0.658535731978091,0.736275448153087,0.7645855789514536,0.8840179829091956,1.0223453460428338,0.9573846063267921,0.8801317875681001,0.7456897351218142,0.8133002723210907,0.6954206636223457,0.6340606872898004,0.648537857654111,0.6920913978283081,0.687808255677758,0.6803045735189365,0.7023888295969598,0.9417361091370727,1.7298661657149397,1.8618849890381632,0.9209834909558177,1.806889829870644,2.449178192873086,1.3710252698854835,1.376025884834994,0.8645282206422943,0.721924532232061,1.2244051728797412,0.779166786029689,0.7476371266314767,0.784264174541025,0.8621012442031699,1.1337096054212608,0.7322349960024958,0.856934224543132,0.7950209368496097,0.9465338054555044,0.7598144741827584,0.7893843176257849,0.893183497835433,0.743175993010833,0.8609460758288835,0.773626708509736,0.9570740961993881,1.351024157877456,0.9574875433882387,1.0005046085735487,0.7921406091817981,1.3891521504440263,0.7943468104997725,0.8813879186825254,0.8120971430394635,0.7794054119113873,0.8541040701559701,0.8403161274494622,1.4059020082365123,0.8799197253430718,0.764900885350972,0.756480522351338,0.7047846622181466,0.9158530648319505,0.7385743980007776,0.9565398558373609,0.8286129201599056,0.9561243089053816,0.885201650751249,0.9342634994105827,0.8454572538630608,0.9324416870812674,0.8731951735096609,0.9814731008870541,1.0353027138863664,1.4438253332054147,1.1676210464344494,1.3946529131684413,1.1206677746056293,1.2268743288318524,1.1090507781523775,1.070939604526796,1.19817751451201,1.067870006192732,1.0783191705514565,1.0981211330100933,1.0284024117756572,0.874048571289943,0.7942978237079753,0.6751138833319558,0.6099494219943397,0.5718042546834269,0.596781706798448,0.5832011789449045,0.7427130804639164,0.6425731843303499,0.6326316492040449,0.6048122588082128,0.5812923407598078,0.5458374100336405,0.5980239802763837,0.6025322415214218,0.7735760677857773,0.7611182021533257,0.7983885098998283,0.8290605949527153,0.7894421086026788,0.8305617094257626,0.7706734747117905,0.9050555789935786,0.7434168014608608,0.7376858385054986,0.8993767167155006,0.7662083436065174,0.6349966281885312,0.6043571158782479,0.7523489299625631,0.7649124752248287,0.5915077880457973,0.5489612564593237,0.5768251046596407,0.6238829736483268,0.5938049914099387,0.7173158030499709,0.7997266946883368,0.8626014828134086,1.140169315194527,1.245841290706086,1.992050581292704,2.347669863019217,1.727783359894864,1.4832277469161321,1.1054196598290587,1.193734587586124,0.9447565814297609,1.0596404398563126,0.7307053002201971,0.7153386216509828,0.5820397809269461,0.6328456853446014,0.6213690253995129,0.7200802985649984,0.7187921946559306,0.9253950291252288,0.9574648822836338,0.9003067443832897,0.7353729225055429,0.6971576370479499,0.6734932952773233,0.7378207810199963,0.8029855266229003,0.9463755198982132,0.9289422248606072,1.0775500613693314,0.8919077896144428,0.9843275775484668,0.872854911340152,0.8816891116159119,0.8310800522087443,0.7641610384748051,0.6965705858404353,0.6618399131245601,0.647876506378844,0.8524017022829274,2.1510200932810317,0.8725095279686945,0.890732046994971,0.7334861022653276,0.883258848935919,0.9639782845748837,0.8376963176140217,0.8421372187162458,0.8273553929922007,0.8386543408644135,0.88842356616431,0.9701651118670416,1.054581092476317,1.2480108294454417,1.0755415474904475,0.9932354484895639,1.1347848721225897,1.1583741909785557,0.948011989972904,1.0245590527953314,1.3243875336788054,1.0907314541688895,1.0388766400679048,1.1813181072653722,1.296708134102025,1.0658876572175047,1.1254730985192158,1.0836435895998122,1.3452204149027511,1.2124869960271134,1.1227606242367685,1.1829494759627062,1.1945370733162133,1.970675114630401,1.4158498800234824,1.588125559652859,1.3043560741184654,1.390028939697285,1.4860946477416528,1.4057114997096047,1.3624179599608426,1.1281365860039496,1.4209959596381803,1.1057207509510938,1.2918280698415712,1.081972177905348,1.1493333655608262,1.354891947696477,1.1277847216074062,1.4413835957641719,1.0588007014807057,1.106676819903596,1.1066537400061254,1.2818699984542106,1.4782028113223338,1.9202954312830816,1.7455849685042075,1.470186290881273,1.665275005493653,1.961879224615788,1.728820501012709,1.5398735083260295,1.9031452427475006,2.0157434741184588,1.6185180591262238,1.7231279484979198,1.9563168093408025,1.895624410315426,1.6007017928519822,1.7498138845972269,1.490069705799053,1.5496346097167883,1.4879357574340766,1.4221988039540976,1.3956628940210933,1.2029890092972049,1.2265471794538954,1.191952195373174,1.137630033816278,1.0250373765826388,1.0748210178628144,1.2403287921723942,1.075396604788825,1.0926281658640473,1.185408791787777,1.4968013212978675,1.225472671445367,1.2140657397816907,1.4737292282557233,1.5741616108975711,1.9378409644823718,1.3271230381475199,1.0811136723508785,0.975716902587276,1.2191729836889516,1.1921578506729082,1.2944045417421737,1.1444412606793823,0.9923231547354179,0.8995317300499298,0.8781331912655327,0.8276249979411936,1.0161015741212132,1.0671978734655063,1.0515408913540574,1.8092380810804418,1.0284002467917102,1.0209882077640529,1.0840316312569873,1.3767984365587922,0.8833232426191685,1.066520144451388,1.742804713886293,1.6652458239778622,2.797501743867828,2.8720405662900035],[1.2482081110630523,1.0010857705051035,0.9764646376730056,0.8784204576630938,0.8479079396318194,0.8132525308560151,0.7915153265350741,0.9636289993090843,0.7570256359125875,0.6456092834432606,0.6910953729832254,0.9211713462742258,0.7056976553096389,0.5773086914588237,0.7399613674871034,0.7345114179496296,0.6051574657381313,0.6406175925623868,0.6313983080780481,0.631661909827186,0.6397505824362231,0.636564819174388,0.8077211395037649,1.0457909524029996,0.7968919116755004,0.756567088167289,0.5972563152366326,0.594219643659986,0.6510131146235784,0.7421812370011792,0.7724693699800385,0.910242539294686,1.0367599327533223,0.965366073720178,0.9065420935774754,0.7484499249897277,0.8304156226705335,0.6912055422616193,0.6308628528408989,0.6537554380306907,0.6677489313608991,0.6619498025681692,0.6654705823936954,0.6699378080946559,0.8872253493467428,1.6935273579042138,1.7981779082314084,0.9001632806770435,1.8180606580534229,2.4481168197123013,1.3661871235706633,1.4016864921444292,0.8459402294660872,0.6827076487940932,1.241637900936252,0.794734757117895,0.753551539733173,0.7837795342677378,0.8668499596499636,1.121651985471032,0.7220972215120877,0.8292623181819809,0.7760179421837072,0.9024875027785377,0.7242784315435083,0.7616791957190032,0.8689285890544062,0.7118261720424818,0.8064348971671351,0.761560993428815,0.9040553860206008,1.309274822759405,0.9351025899904809,0.9760762814549726,0.7665381499910955,1.348684651016098,0.7753863225075723,0.8795233488548199,0.8034901881546636,0.7919529243612161,0.8559973924635585,0.8592086651209447,1.4531897553167372,0.9115908546541567,0.7806721701819274,0.7731741045776588,0.7119892877240164,0.9198209934779636,0.734469999369727,0.9719180620630649,0.8273767803446744,0.9536449472216295,0.8798338220983649,0.9302084496158315,0.8523091588708054,0.9358819710613437,0.8837128697262241,1.0110205284186873,1.0792863935612167,1.5022684951086203,1.2090587107625381,1.430203013165538,1.1545467957718152,1.2696581302719694,1.1501816554089275,1.1047938644770334,1.2372019323090244,1.1176665350464563,1.1324249501259687,1.1621580260902376,1.0843144574117836,0.9157166954792721,0.8248566104820951,0.6911484585431485,0.6041885359091287,0.5442610333759429,0.5899410111755372,0.5294003547018951,0.6800750777260784,0.6007476636404995,0.5586837588061249,0.5604041010618832,0.5391975676585213,0.5127546258208293,0.6004756489410636,0.6070167050349872,0.840550853401527,0.8026217144707941,0.8474259074396746,0.8793455261217903,0.8298424641350636,0.8831347285250375,0.7983394748403394,0.956358091169665,0.76603982480237,0.741378141797859,0.9432871725453775,0.7603041548176165,0.5989868794422434,0.5576514651225736,0.7299917825504257,0.7223131186809996,0.5515030678399239,0.5146257491677032,0.5496242237791893,0.6138974625285475,0.5857348629006917,0.7211044180469806,0.8306386659848438,0.9037624234814009,1.2045722418088813,1.3368525919949952,2.101207566791476,2.5157139669391424,1.8419870755587466,1.5757445106637589,1.1598278428298958,1.2423096751034033,0.9867441074493561,1.1080210017751664,0.7671850025294755,0.7346711347294929,0.5778790600515399,0.6457000384030673,0.6465697446284909,0.6308999207875243,0.7041484833596621,0.9109992964804975,0.9512087478025945,0.886884921194721,0.7340749123886207,0.689638974370544,0.6962292386288544,0.774630690937617,0.8412195457810713,0.9824501012670827,0.9671800515022354,1.092908716970246,0.933192661632094,1.0177966882358518,0.9254813657850454,0.9258627924109186,0.8741193732125433,0.7911409742961618,0.7171644545501349,0.6750382703934297,0.6722382269922244,0.8543373595277554,2.1613975101102483,0.8729014231349974,0.8999720978642904,0.7485930081941906,0.896985874979756,0.9654255737912764,0.8501167379009593,0.8671589295536208,0.8655877680299497,0.8891416367359113,0.9211783787958342,1.0001845132116376,1.0900899818770435,1.2801940653966166,1.1177376843008942,1.0177770456357322,1.1627699147815367,1.189256226972776,0.9785931591896173,1.0371180254033507,1.3493418514821756,1.1123179075644176,1.0328504953321294,1.1763110226311029,1.295995647626979,1.0569660430583765,1.1272003613878931,1.060525794667266,1.3681470330513819,1.1930694089243348,1.1023913478554819,1.177671058532139,1.1963806273658584,2.05598395640153,1.2902094026093813,1.4423608886328982,1.3644264033784745,1.3885205609970925,1.4569389167057203,1.3872801346845118,1.3398156641690702,1.1508955879369933,1.4440499875915038,1.1488583023061898,1.3317230780816525,1.090799078237719,1.179057218005339,1.3326823191173964,1.1240055041281964,1.4125195684814753,1.0398166846622627,1.119237021376237,1.1655514629033514,1.3215473176596548,1.523611978288828,1.8968351292081984,1.7710570812508846,1.5116106568208232,1.6691562791399304,1.9753037433263332,1.7432302377037856,1.5623378444393112,1.9050985583363422,2.017494555938705,1.6285630654612262,1.7180785983707607,1.9301514689663604,1.8428887309146313,1.5931767247774662,1.7066325371322004,1.480243974277025,1.53851926595322,1.5005201306202718,1.422092241785758,1.3871889596029794,1.2113205586611595,1.2210644772753154,1.1957972908534575,1.1475835243031736,1.0346153671143146,1.0803436262593018,1.2438544998465288,1.0865039258547984,1.1008706551773302,1.2059935613717807,1.5468641689587297,1.2310203787034797,1.208652234808973,1.459645897495708,1.552805317924608,1.893052421678955,1.3211480365497401,1.0699634593001612,0.9595579117043858,1.2236677222468857,1.1632502730749765,1.2620700285794575,1.1304598412766225,0.9863089219789046,0.8979673756644143,0.9133189985029285,0.8630444712770052,1.0639825879130769,1.1190026148134182,1.0978541747990611,1.9405005916216824,1.0850390485101058,1.0617849043148564,1.1102995378641307,1.4649205494806485,0.9591940348679259,1.0822686492304072,1.662952562629311,1.969768317039432,3.0533329873880874,2.785147531561093],[1.5429888760332995,1.3610696840016205,1.3274815092439114,1.3636329210200562,1.3310979294214567,1.326199653167243,1.3782057922393665,1.4898544987456044,1.3913553885366958,1.3849425335430432,1.4201814049581045,1.5589002580517852,1.4167726816535124,1.3802415754987074,1.474267645977656,1.4601135047139933,1.3447406105957442,1.4221745163851707,1.3942621549208298,1.415226961134571,1.3665320503656915,1.37452728111957,1.5196821273743302,1.5652121046690315,1.407608995768346,1.378734275119456,1.3376769644302642,1.3469348848367433,1.4081955110347086,1.4491190095600033,1.5334879324076436,1.5704159173534562,1.70319765334658,1.6570038663431759,1.5996360735250668,1.483447269755068,1.495663378156881,1.425836384522361,1.3483126671124297,1.3514710448166078,1.3440961481039755,1.375371581001517,1.3719616975221476,1.359436948212905,1.4848765092561018,2.2466238481982796,2.3400066173646454,1.5447788008345669,2.340678404004241,2.888216200117966,1.939553112367345,1.9815874662907647,1.4161958128001544,1.3506592424582742,1.7734439307804153,1.4722453638626942,1.454906159518217,1.469090457496414,1.514395002876624,1.6780691457117791,1.4309585764794912,1.5814905329602487,1.560382295194799,1.6723468077572914,1.491052150141641,1.510347567785043,1.6123691100373054,1.492244041846699,1.5383013430422403,1.5067476292325035,1.5341510579263082,1.8160304676358763,1.605408977089378,1.6270705346948597,1.536411650395728,2.0222068051114097,1.5408251217979674,1.6204827971510352,1.5496667149577446,1.5181831808957107,1.5175569957750037,1.5104841014488763,1.9106019120738322,1.4906332887484983,1.402844218345235,1.4240951343859232,1.4255307609356955,1.5801091196776311,1.4641782588304504,1.6521226802420645,1.5712645823674796,1.6996641769069694,1.6651691348118278,1.6694800499142493,1.5932873845987217,1.6889316508343353,1.6166257293506447,1.6733886115343637,1.6967479974806903,1.9782606941992376,1.7520209055744271,1.887200661554094,1.6797864833064657,1.7233981318800777,1.6068885323497062,1.5436040768498156,1.621097329714955,1.5223402946186428,1.5299828284409327,1.5633567760291156,1.527845411289605,1.441975771255789,1.4006129784921106,1.3266980484869675,1.33113720613698,1.2757419083329176,1.3187115922075199,1.239015924811297,1.3715539998285866,1.3302103648452985,1.3040923006746163,1.3424893038059709,1.2698416119368063,1.2803917905808722,1.300640220944959,1.2380206042017814,1.3397580097383939,1.340911356130507,1.336900770036576,1.3684201890429026,1.2868957343923828,1.306316861402379,1.2773611349283316,1.4240290288629371,1.281678381884058,1.2718809297239753,1.3952298869352187,1.3111750892989558,1.2122019961017876,1.1882196757886578,1.2359479451397082,1.208109997405167,1.2255217171060393,1.2298564232559832,1.2686690830496579,1.3399950270180716,1.307266021907501,1.395152537406915,1.4338837098641815,1.490288083653135,1.6984830700319589,1.8385127087196063,2.4850715569034842,2.8995735489198484,2.2827748823336678,2.0569983397831435,1.6968544066845694,1.7341801892385484,1.573622116828456,1.6201113411204398,1.380508444967433,1.3936909898069434,1.2622985781865699,1.3232201826638834,1.2789760347296413,1.1729695219347986,1.2481916226204728,1.3354093752969984,1.3465267645804426,1.3032368026619545,1.2627003428609858,1.2842389343496625,1.3123381900827342,1.373635347785749,1.4439557599938897,1.5338664557976422,1.5644333706551308,1.5779534848992451,1.533337973926511,1.5415289337903604,1.4769066960878472,1.445682522342526,1.389954768261273,1.3176590966401065,1.2642509980618923,1.281463155786738,1.323507236672778,1.3472975259762545,2.4870759221585894,1.3237793376727742,1.3156292921780297,1.260559064030514,1.2979696699601087,1.3279124037640806,1.2921467216211038,1.2837989719839376,1.2857455535492959,1.2671643103392096,1.2812381697309738,1.35671780925391,1.402472249994879,1.5749363898305266,1.4575776488104775,1.3364022573941954,1.4404189315956095,1.488423284017956,1.3023333358621105,1.3205145732496149,1.5774859294521235,1.4015250946108693,1.3114451339039588,1.4110220260075923,1.52722501980785,1.34121612675056,1.3669163867310319,1.2953726991203194,1.515945510534372,1.400525609346349,1.345374929829552,1.3823062757544513,1.3915418980909537,2.145591364611254,1.4614715782515046,1.5650995092979647,1.549320083193373,1.5773269643084809,1.6584539464344084,1.591124635881389,1.5515538232232173,1.3891302006210033,1.6420429258513176,1.3825905681613415,1.5348504677595636,1.35691897873125,1.4372429146680956,1.6160801709008703,1.426511173743872,1.7382084500347297,1.3680096632186165,1.446940879257268,1.434266478004878,1.5440598775198355,1.7498807807510517,2.09693745206293,2.0014533251723,1.757411774891562,1.874316111011478,2.1778614055502525,1.9769328200197165,1.7913457315092738,2.089021959487973,2.199399158045527,1.83750137157204,1.8826252069668385,2.0701701624222086,2.004411380755946,1.7584910266887543,1.8494319197799827,1.652214114562129,1.7050007151522135,1.6976622311491325,1.6046600367844484,1.5516097038084202,1.4342463054162897,1.4558622354718622,1.4215319284512622,1.382764416944257,1.3145418778409472,1.334129839714716,1.4644743428503204,1.3466924429590583,1.3962747876444077,1.4617013436615098,1.7647102957094347,1.4832493794278685,1.454703512193853,1.68593046845007,1.751507631698395,2.0979212380672103,1.5209584460709618,1.3192834325965996,1.2486347018041601,1.4214410068801242,1.393632446342879,1.475008355908818,1.3794849997645757,1.2987942317931493,1.2669711461755666,1.301091728633126,1.304276379242462,1.438268599364063,1.4850583018402557,1.4028921914540609,2.267950183695748,1.4709904482257257,1.3860821398641903,1.3990488403428372,1.8296020318023585,1.327039258110718,1.3712539545971907,1.894555350850972,2.0295761549902998,3.0433487602049687,2.84935117388598],[1.0271345036395836,0.848824072761595,0.821279681644604,0.8182234094944376,0.7746680081481646,0.6908414658362487,0.6892809159812523,0.8278600588993502,0.6745062347376998,0.6464982011054183,0.6986458062282451,0.8755741307129838,0.7001627711672268,0.6551151782215393,0.7889191994098754,0.7549659486406829,0.6792906483884567,0.7504469481066822,0.789284859037985,0.7608126787111821,0.7728931702594224,0.7590517922723894,0.9842365470620643,1.1455369892447942,0.9072848895456849,0.8801828613422318,0.7192023808637201,0.6905958920465997,0.7212139024122004,0.7595722891231546,0.8113181922677469,0.9051219144107244,1.0171510051945671,0.9757751088445108,0.8997441050011558,0.7862938600071868,0.8146625009218759,0.7360989685732836,0.6751248844119235,0.6795331393213355,0.7552290393945364,0.7647221814775753,0.7564375016945498,0.7798739792089312,1.0234693634086858,1.8923959147988196,1.9787375723910199,1.0035967228232887,1.960604847110648,2.538655005953315,1.4856575253264606,1.4413561244488748,0.9214357160919734,0.7911366424811408,1.25876180939071,0.8461930752210459,0.827722991060178,0.8401616829340491,0.910644484433706,1.126661996219815,0.8076535506711514,0.9264261435320384,0.8715657444353878,1.0520952791959752,0.8711458283948932,0.8545766319853783,1.012912719310482,0.8377558697270383,0.9603752380462867,0.8642625338671913,1.027918299060584,1.4157617874590878,1.0533833624872921,1.1047283696074033,0.8713101512899399,1.485061007115546,0.8557736986205625,0.938612011778818,0.8602511809195973,0.8389153247208667,0.8709352182281819,0.8645085271290753,1.4065374711395895,0.893785427031507,0.7757742404752279,0.7693049125853929,0.7391157055477797,0.9131475234585752,0.7868267692948534,1.0074510925257234,0.8801868107571666,1.0200962414450312,0.9448875223626967,0.9678007982451916,0.8799818116492971,0.962224499804755,0.9054164658872818,0.9738499276624717,1.0132538992627513,1.4180184946561591,1.1243304792297888,1.3084603643379564,1.0613780986757648,1.1284495826854608,1.0019960161565655,0.9542634417703051,1.082344543877314,0.9617718685897767,0.9704967961858365,0.993243943608958,0.9219201636276539,0.7931628773731029,0.7350399284520167,0.6532408891990188,0.6314448955074718,0.6442876190790097,0.6728943306119073,0.669515857477717,0.8368210833471541,0.7447087346861446,0.7323179625426847,0.6915939224931763,0.6905200823839943,0.6274731487462977,0.630242742844948,0.6201426990759002,0.8052213905429731,0.7209836837175593,0.7307331651740523,0.7519316050242949,0.7190743247514663,0.7636816735515605,0.6970888925866612,0.8475779176881487,0.6952153226005472,0.7082618229848548,0.9175371217230356,0.7641365530393182,0.6461572603107457,0.6181734942077143,0.8101240643744998,0.7945412362631257,0.6644039343864753,0.6098636088031205,0.6249981516999147,0.6701990053919554,0.6279443942870537,0.7008022554460889,0.7616547253271619,0.8193051114886164,1.058583226972286,1.1681705396984978,1.9025140399929448,2.3296933106674635,1.680848022380055,1.4251936618853347,1.0522806523193933,1.1144383035985777,0.8993287759167873,1.0078123764477602,0.6950982747021605,0.7220959081361229,0.6090647548053275,0.6509732282266375,0.6511402676172455,0.7038756681834067,0.7141274393156424,0.9310207254684706,0.9697422625182314,0.9104759097794435,0.742685403036203,0.7066303742780148,0.6494845832790922,0.7132662425235609,0.7809492281892276,0.8947423229637226,0.891522888068667,1.0316571034017081,0.8720700341470154,0.9388599488628877,0.8608146593929042,0.8157664277103261,0.7655610319870355,0.7062135755921813,0.6645412506495215,0.67396664926491,0.7094633428970799,0.9226589888220654,2.2061020081781644,0.9353192210766692,0.9121070142724966,0.7268350907791038,0.8447739052839742,0.8915677935626949,0.7571862858610627,0.7640541287538553,0.7590435491681888,0.7520686201201228,0.7748224166377067,0.8519541413246456,0.9102843425800516,1.1100589054796894,0.9451531261245839,0.8402168396935754,0.965775229403765,0.9793605564135014,0.8190502486537191,0.8517318278875541,1.1287247942582364,0.9018591900110692,0.8539317022409167,0.9743792666448019,1.078754689486855,0.8852235466334114,0.9582424673704074,0.9349848867141519,1.218013446525264,1.0978763208849114,0.9455285442124937,1.004257085496896,1.0305570867178215,1.9362777336457553,1.3041277294299125,1.5071226909177973,1.1324350298928216,1.2231492652015208,1.3329798239621167,1.2547079474989593,1.1722692816027793,0.9921015460281601,1.3162627446968238,0.9833933777260269,1.2184767288597158,0.9399319099899897,1.011928208982228,1.2071046013823592,0.9727331794887643,1.2801715981210184,0.8859488226918657,0.967676221722522,1.0114422828385896,1.173202507429602,1.3791371532452057,1.8051882948865765,1.6579409127024616,1.348741189389544,1.5246752073655603,1.8365025798051238,1.588540041585871,1.378696949937801,1.7366244404299935,1.838536196275967,1.4301705161980138,1.524316127055351,1.7444443029396033,1.6527604550356636,1.3723398872925232,1.535682764357151,1.2821760880379243,1.3561697528300642,1.3217492729634628,1.2476067109268776,1.2113383802536903,1.0186136198829194,1.0538507370843697,1.0013196138381828,0.9477974218127226,0.8461236124870484,0.9091707470617199,1.0760022287678481,0.9297334205295807,0.939310165397105,1.0438867644358085,1.4144077200024538,1.131094308615571,1.1196786782940087,1.3783728946922558,1.4816101234128585,1.8482534838607736,1.2416272490519795,0.9623366705569609,0.8555495479442428,1.1503260404009756,1.1024139693223305,1.204302309721112,1.0701983506494166,0.8666451786429076,0.7896965700164672,0.7777426560625749,0.7598500705255936,0.9157318930386443,0.9195751606878628,0.8746010038652682,1.6813700168907444,0.8926190334073204,0.8261868406845296,0.8802152924905916,1.2784517509384987,0.7514576444006689,0.8752768270493461,1.4262228799984171,2.022753369128859,3.3381911842753063,3.065497170408715],[0.8556553459668832,0.6793499486166282,0.7154445962306991,0.6455322741213655,0.6331694004329579,0.604116448340636,0.5711377918338791,0.7396349972521608,0.6146388449381559,0.5689441173980925,0.6416388378018094,0.84364554687985,0.6437399648661606,0.5902617091146235,0.7888220919571757,0.7389231225746092,0.660077467851508,0.7233702408026219,0.7556367812180131,0.7113568168231543,0.7344157392332308,0.7262121581755115,0.887926129131351,1.0665400759547512,0.866215471410982,0.8410884205752512,0.6622319288430562,0.6433704540034587,0.6774197421891992,0.730839487179679,0.8061907813831898,0.8863939022799321,1.0202353462165548,0.9782300659068954,0.8866608057729988,0.7672390249492373,0.7957547795299147,0.6819030217268037,0.6214034450904943,0.6399343457736877,0.7249565751391592,0.711151181238762,0.7017697079816809,0.7276986102737177,0.962929866987933,1.789338146667979,1.8301693036863176,0.9094109277537714,1.8649924850085569,2.4268501025837885,1.35110952559832,1.4131167112639889,0.897358193976238,0.7224520228550152,1.2142585910883799,0.8115402983881741,0.7664915777199707,0.8068942039880185,0.8847128624762564,1.0613142532297761,0.7788614619119456,0.8974472119481468,0.846663922349361,1.0225073753541263,0.8221795299183329,0.8184851491990769,0.9701959814778351,0.8128167601189967,0.8921070535213772,0.8268026644985339,1.0154477838456906,1.4546563238488468,1.0337817910880793,1.0508163038796199,0.8694968427616021,1.402249082685106,0.8589470353777477,0.9433347829422728,0.853821552759913,0.8071474367231745,0.8445264058402426,0.8334327956543398,1.3698152992700838,0.9034809330943125,0.7405185744408114,0.7304115510434754,0.7171039332474578,0.9059414713040145,0.7689706762488739,1.0100825913197464,0.8916777021721832,1.011713177192034,0.9477117833733653,0.9725925865270229,0.8701024862191701,0.9660169133075053,0.8870728016975938,0.9725581443644924,1.0160235023204596,1.4215350578706276,1.1191112286011757,1.2754850499780939,1.0285889644209083,1.0823614668610526,0.9533305574486935,0.8857588509814329,1.0228820583065692,0.8817859792538357,0.8679428588436972,0.9291536078868161,0.8132316381701246,0.691189970822555,0.6445171031005352,0.5721161043451513,0.573474494488433,0.5616761545422868,0.6084913209876577,0.5992044149293827,0.7821993028204502,0.7252656240223625,0.6792948064062424,0.6128232013234989,0.605518080324574,0.5293281219588222,0.5440705649953639,0.5537177265456681,0.7442943862883606,0.6126201228827398,0.6314133812522218,0.660294071945654,0.6269012699792736,0.711898986444809,0.6129707552406998,0.7797543303061163,0.5950717688896603,0.6099915941327612,0.8329221729769829,0.6504815910298981,0.5588813726013204,0.5446375962675263,0.7556305452553533,0.749413767226642,0.6464513255568267,0.5540992289850407,0.5686550609080496,0.6119214874099209,0.5624284887487709,0.6419419301042587,0.6787457642987226,0.7278603413781751,0.962398750957602,1.0801182421169369,1.8763097307247407,2.2881116201239444,1.648389264150244,1.4035586564424278,1.014042661695029,1.0538544846087765,0.8488347656720404,0.9455798503469247,0.6124179357193263,0.6669496051732746,0.5366254247351381,0.5882482759557954,0.5990246132249301,0.6234819510936316,0.6332334621854703,0.9192014372361715,0.9409953456667906,0.9147100047633746,0.6718799720055366,0.5862489866373699,0.5498880999166422,0.6330924818780629,0.7255214220325517,0.8492117343169022,0.8487319127785382,1.0417077289241508,0.8213772474175611,0.9250419913885182,0.8101894285824947,0.7462941087010213,0.6911605806446472,0.6388835175089989,0.5919705861428783,0.6126322218732927,0.6615809535662236,0.9218977105606808,2.1341904938351917,0.9088817846308456,0.8865675221131418,0.6863584566175172,0.8089748330405284,0.854569809793604,0.680354265531337,0.6566533468916307,0.6587808482871137,0.6887411827774137,0.6941649035185626,0.773470618364569,0.8171595589056738,1.0114363283271484,0.8381956335066899,0.7534551225476861,0.865307552265635,0.8603467666325797,0.7670005564470456,0.7796812815843328,0.9909365050336476,0.7873961132208108,0.8082758403562065,0.8632617284538383,0.9115839788511897,0.8747380505835273,0.9855464775977154,1.0193928185881,1.188219876145224,1.1987295016469375,0.939224193842143,0.9593980566136184,0.9947096796089624,1.9448546983243875,1.3038903604124024,1.555161268356507,1.0233470180951136,1.1295835245034043,1.2567170949401,1.18432408908826,1.0873366582988915,0.9324695245841936,1.250144303375518,0.9577308244292249,1.2454255322194068,0.8927795127493813,0.9530581671299481,1.1736982271796057,0.9362047390791598,1.1426544245479715,0.7716861909905082,0.8887510046022954,0.9686403258516729,1.1114669386431546,1.3300399994430037,1.7519419493053126,1.6087049841260448,1.2811185784628882,1.4366850255570924,1.7723162417309906,1.5259054497525042,1.2655013662871533,1.6228490558772628,1.7204910141098535,1.2846372640257375,1.378304360916903,1.5977886972628004,1.4777605097912383,1.2099993209084878,1.3723627811491315,1.1464348382050886,1.2183927934635452,1.1989750088899263,1.1252486243829363,1.0930885847505032,0.9113949515097297,0.9583215423374019,0.9097265200596368,0.8767709095258316,0.7874724617067332,0.8807995528429262,1.0841727765274884,0.9555364534281806,0.9252951291525853,1.070510562602891,1.4875394930685548,1.2087776678231366,1.1932978112641297,1.4613314961981179,1.620861426834723,1.917452649874501,1.3992965137843023,1.0420725805278854,0.9139667412779607,1.3065638778815227,1.2155782624078384,1.3233727650241691,1.140540530916182,0.8642070907260887,0.7132826223019053,0.6760222642069763,0.6497112671973918,0.7840066899571876,0.8178819136150913,0.7964606594439252,1.5728779880379562,0.7865303252946048,0.7311145010168499,0.8013400061815844,1.1733505757014817,0.6598229892967488,0.8178972920677939,1.2648109378843841,2.105442975291562,3.4855919646085054,3.092078718734216],[1.017074570652413,0.7830836686570134,0.7997012892393757,0.7203483605382426,0.7452348948929859,0.6833306405829447,0.6370389591626165,0.7574297470663997,0.6169711448931874,0.5846387414551293,0.6290512108949886,0.7704964318252839,0.6321912099742213,0.565051459850843,0.6893519016189052,0.6662336901287835,0.6247990982626702,0.6383791757441425,0.7101191935589145,0.6574404632500334,0.7255883113889302,0.6954832677828722,0.8837086291653914,1.1627093373824902,0.8251150109113927,0.8301289460661161,0.6575027430359557,0.6010626053964573,0.6133507174912319,0.6731322893452992,0.7201849421376274,0.8236421445651317,0.940033827425207,0.8840455043850267,0.7988732395902374,0.6807955888906326,0.7242330068506838,0.6063584029667403,0.585830660486768,0.5865741719503061,0.6701733645739667,0.6592635817931201,0.6526181061671144,0.7003066842577161,0.9272828253368072,1.7084324073931008,1.7630884269358196,0.8534916338289271,1.7879298401372203,2.3142582515521095,1.3408013174442637,1.2670301282171574,0.8677385498181617,0.7804262061792613,1.212104658171069,0.7613716435138113,0.7130741074265213,0.7705731899164343,0.8452500819625627,1.0521828204210368,0.7172618403783348,0.8171916903947063,0.7578288415456921,0.9454669149976146,0.775220043281275,0.7398479116024932,0.9179223498945325,0.7395605272426032,0.8827676332040432,0.7676242822233788,0.9753643448775196,1.4084751710662966,0.9964577920324992,1.0687892920361493,0.7794371428389187,1.4051721441297491,0.7468797155337916,0.8557974448313224,0.7481299887303755,0.7378013686251766,0.7790401380563556,0.7497729336937909,1.358297865018915,0.7990790813617081,0.727185330721795,0.6782377012402967,0.6358067603474965,0.7857208162745273,0.6801758849111481,0.90891091103041,0.7907049856743885,0.9617548067297073,0.8725531029827193,0.896061879383771,0.7980843496449787,0.8881157060801199,0.818428545983492,0.894379788279131,0.9312467209399601,1.3756237111024796,1.0304674285013158,1.2078821234953534,0.9594034218664497,1.0366996775599624,0.9305967539072255,0.8491241141622079,1.0035394677933118,0.832409052411832,0.8542228739189239,0.9237598770506316,0.8242145055944867,0.707939785073957,0.6524938448210388,0.6415632041729569,0.5731361427213951,0.6378070516480673,0.5879752456173932,0.6949842417037816,0.7954569078816874,0.6858723448607748,0.6913181490349443,0.6122003371520282,0.7143129535500263,0.6060197881874895,0.6186917589795388,0.6635813699278909,0.7091108693635256,0.6916214430229188,0.7005519912413696,0.700103567196124,0.7043670000883001,0.7178532034052584,0.7134962722145559,0.8091399595274116,0.7349791018031353,0.7686511438602287,0.9175759439515387,0.8026499250553676,0.7193174119210676,0.7199176187206686,0.975533387737212,0.9504228913785538,0.7422537006409673,0.6407042068905588,0.5983661364188536,0.5990050549487977,0.574962795330576,0.6186102664882012,0.6689691600785672,0.7266639722587782,0.9362473156306719,1.0611388078051516,1.79271930487335,2.3841704831200246,1.682961009051958,1.3445231711902812,0.953256110098711,1.014760700118066,0.8151949531707557,0.8911660833839291,0.6479860285140379,0.6175078922062155,0.6097727572598289,0.6142146039423871,0.6263347686090207,0.8399163462189024,0.7995311651354117,1.0461632619273982,1.0629078613821343,1.0308938076597818,0.8149774207308966,0.7405563512688943,0.6283817476541169,0.6637644660708338,0.6958582765372364,0.812804965340182,0.8057890813535872,0.9698676700147387,0.7995230319132915,0.8242193824608777,0.8042214355602939,0.7590698484722754,0.7276126150528828,0.6856977793271485,0.6962493671274447,0.6586142626328504,0.6354857591690545,0.9968283690842339,1.9719134616591978,0.9767104238025728,1.0175359225369105,0.8152055993713202,1.0098307111439775,1.027238644715018,0.821416442195285,0.7760174817922084,0.7693355118126034,0.7637570330496779,0.8127163579273745,0.7955916367808443,0.8296587177361839,0.919645627580602,0.8153965509994815,0.8286415413387471,0.8670746731362127,0.85722844552551,0.8859803103560098,0.8830679814125862,0.937084654223747,0.8672223557813311,0.9751174236723905,0.9545922159782951,0.9127041662352956,1.086450158005071,1.163699489742136,1.2160188371114808,1.318432080876406,1.364546309120147,1.1142943038418802,1.0769583218864258,1.079348782376008,1.8299465430425819,1.4320435275057672,1.7883947943467642,1.02884100259941,1.0618299752879512,1.1417671702928343,1.0860686076414592,1.057755703877029,0.902999217957934,1.1398258970574413,0.9995055533202999,1.3309391117252674,0.9569018697336087,1.0338133233104467,1.3121238172122285,1.1207063351178093,1.3443502749850498,0.9427761983780756,0.903579569403864,0.9033210772922994,1.0257277955638913,1.1784042834853012,1.4982487850553081,1.3687159010697831,1.111110966501433,1.2425927230662697,1.5300480789304636,1.3048897120967267,1.1021948454928174,1.4051450264911987,1.494218932409488,1.1206434992511118,1.2076617285372377,1.3641443771937731,1.2522831581362612,1.1185128910690723,1.244479091241871,1.1032449206864465,1.112717535364518,1.0647652972978114,1.0240126766118063,1.0537123554408372,0.9363465444497954,0.9635654970347322,0.9689168163412528,0.9858150657979589,0.9220903418722517,0.9949645170547817,1.2296468871110096,1.149733387071508,1.1268068352011127,1.2657476308326563,1.7081448342263594,1.3493905116551566,1.3584977822958355,1.5873248985489303,1.7555749598750026,2.0393116405190983,1.5475315876923306,1.2323273379913469,1.0998431168889062,1.4553547935838262,1.3830881367682843,1.4760451541690216,1.2863189125063061,1.043984461081605,0.8746212004594275,0.7786234125725717,0.7407092080832777,0.8155493616302759,0.8317282716499178,0.862455609391146,1.489643234226704,0.8018764759181107,0.8077158780740384,0.8442473910802868,1.047891703290182,0.7562700092577044,0.8939619630514067,1.245707041560447,2.4911793151449753,3.854532041132231,3.3655839782050085],[1.008059876621339,0.818645618582328,0.8444465292485953,0.8556632879704155,0.8604234295076725,0.7806787745198795,0.7781455631913441,0.8195527404684336,0.7506862667624828,0.788364491375949,0.8069256196872658,0.8372759230230404,0.7977189298332471,0.8064922349475484,0.8384507488213135,0.807728640707185,0.8526028269123067,0.8430180606996325,0.9492526314578744,0.8715674266449196,1.0039263828163512,0.9485500333339575,1.109030629086876,1.4169715998803578,1.0332554232652937,1.0650357706265523,0.9134248021454834,0.8505943997514175,0.8103528885320607,0.8141330458841545,0.8321723511718508,0.9133784635856954,0.9918153553094907,0.9400835707763491,0.8790918599503804,0.8087916382768375,0.8463127067097604,0.7777018875349107,0.7955990566566845,0.7822244460475496,0.8825764554745594,0.8634254934109978,0.8524462915444093,0.9097291873329126,1.091750113150558,1.7431835172410661,1.8108883799193927,1.018769419583187,1.8215966779383062,2.3263818633589155,1.4234898067297843,1.3361224908552523,1.0021981566720566,0.9642078904119336,1.3002063965613098,0.8978116649427764,0.8753824484494043,0.9094033640992096,0.974502392851302,1.159056113465019,0.8969036372547213,0.9181095416126329,0.8465420119138244,1.0082962369454844,0.9380482748068498,0.8819503487135383,1.0531268711500998,0.9091661999906435,1.0891978973435104,0.9462072713749409,1.1754312379465772,1.5485116635735103,1.168307480849783,1.255410439086629,0.88969642637646,1.4271528558482112,0.84730606260502,0.9307776749835643,0.8432675427415848,0.8762889497772317,0.8908282333602148,0.8538990794253025,1.435128690746216,0.9026441165430564,0.8638980800716023,0.8246691020100099,0.7784230810127604,0.8759331910472857,0.8247532391340734,0.964716029825192,0.8602304916930466,1.0404060333547827,0.925782186781526,0.9440455198911816,0.8793059553843172,0.9322284301187919,0.9203653971449107,0.9458804892328653,0.9695008775940883,1.3912602394257976,1.0714443559831397,1.2182781306300543,1.0016023718226765,1.064366150664779,0.98113486684125,0.9152330523706648,1.0384549489344332,0.8868068959046087,0.895845669273907,0.9411093909407895,0.8726146889245836,0.8058845820266878,0.7827668394233077,0.8410151337015971,0.8137174127203073,0.9237910948055116,0.8696903522247207,1.0358767955470891,1.090931798486202,0.93729881325107,0.9978231456762279,0.9069812115495306,1.0497684335111246,0.9100456203463692,0.861764567304703,0.890694648268811,0.8199605861474101,0.8306216651097763,0.8055347531089152,0.7904270811606571,0.8077837634688717,0.8014380755037186,0.8353263928280789,0.8910692386386441,0.8859918114469374,0.9437297184152624,1.0775165480700795,1.0256348602277179,0.9990677381399518,1.006609792819327,1.2865461132544689,1.2851234401839153,1.0578021467010494,0.9491899759203056,0.8697907296721115,0.823778364573168,0.8181827873618986,0.7930057930717617,0.7999316298380397,0.8275386993599562,0.9565900658271802,1.0566717313339682,1.783973139514572,2.332878790717053,1.6554731354662044,1.336413185939221,0.9837807466229447,1.0323956816638398,0.8850401367789255,0.9421150692338601,0.8023826837723905,0.7858673699471985,0.8644734792323341,0.8260930488046418,0.8461382380212571,1.1192869039252618,1.0315564495537486,1.2680074725039632,1.2566386238097806,1.2462780602278474,1.0243566896726721,0.9733353699146208,0.8345528970479589,0.8259931636501664,0.8271014227265542,0.8993520841552242,0.8970052096913969,1.0580291219407962,0.8960409687916832,0.9011582624814972,0.922979748539013,0.8562885564356091,0.8402193543304068,0.8263738199131946,0.8731649065627068,0.875455434970671,0.8481443992877923,1.1661346258215177,1.9971498427065957,1.1666564439648077,1.1974953278804081,1.012957269440961,1.1581121794669509,1.1478365577975629,0.9391323482690173,0.8818791907460778,0.8717332568956849,0.825883116939635,0.8565260083722697,0.829136699080684,0.8180535231734087,0.919258536713755,0.8265914756752429,0.8238522432197141,0.8329306772516831,0.8324141529133074,0.8891232130304112,0.8393994431855143,0.9035818990817873,0.8245229454305925,0.9140922431833302,0.873492752771931,0.866415619961591,1.0033821486240622,1.0597714937502605,1.1433437442586964,1.2098491637730873,1.3079201740141106,1.036123319794163,0.9708933001564974,0.9827837100935647,1.849116408519994,1.3200760376180174,1.6308709764674436,0.9473309613996467,1.0378473725843755,1.163699228528933,1.0946851107764324,1.0464573167094184,0.862411739899047,1.1148536695950564,0.9576494122274034,1.3004946047864547,0.9194712611995238,1.0157511410154185,1.3378578324506445,1.1475755096888545,1.3743968068042842,0.9554852360528646,0.9171823600937231,0.8929656485640013,1.005214037354507,1.192869739703384,1.5561593909880227,1.419504792509572,1.1279541235459156,1.279174005130045,1.5890037714591077,1.3455721662347506,1.115531030388045,1.4507446523842564,1.535291550223441,1.1263487606078497,1.2281206832962877,1.4330033900017627,1.3004448458770028,1.1033435695749303,1.2496520383845258,1.0601554444789405,1.1029661768952987,1.065344202366445,1.0076691294748321,1.0120630599957654,0.8733854490879772,0.9013561783587118,0.8919112843708751,0.9004145105571645,0.8702576805503006,0.9314908049295989,1.1669757307315989,1.122591918634925,1.1240245319410762,1.240269771675315,1.6914543129822328,1.390552919365667,1.390908210752224,1.626869057290562,1.785611551083066,2.045584776848786,1.5629504296215626,1.2277192789939169,1.1102167622063037,1.5083860177770492,1.4496789749970984,1.5507769062481938,1.3652925022925655,1.0782679846394239,0.9459996274925218,0.8392344831239525,0.8326754219426192,0.846122715217347,0.8446249716931586,0.8199384870480889,1.4615849521944448,0.8292442839040813,0.7845092938565871,0.7909036750996403,1.067907300310573,0.7473819152637259,0.8404435677951025,1.1800901506645185,2.347630254996858,3.756805638716534,3.2832953932443822],[1.0859220101168205,1.0154097149869867,1.0081920279906902,0.9116469082243719,0.9108886013781016,0.9234785749417288,0.8403523773205359,0.9214584489235945,0.7977721932317102,0.7202252916938033,0.7606787498690012,0.9654968217501437,0.7900878039268913,0.7160579468409892,0.8827721503868027,0.8759197234639556,0.7608682936075507,0.8184080812106846,0.8205150438473607,0.8088181490170008,0.8382876691439098,0.8553825731698294,0.894951131515714,1.1544913968928143,0.9315241595790302,0.9221380151154288,0.7938384301605438,0.7585822144289996,0.8074944532554993,0.907617104036247,0.9442439822340223,1.0687436705675855,1.1815386309181732,1.1540488609951312,1.0674856956585483,0.9307157085599381,0.9884149817854617,0.8392006360314459,0.7929116188598595,0.8333847325229669,0.8938864913691854,0.8271680756951109,0.829340696890242,0.8167097844763261,1.013952235913833,1.7865368449129724,1.7695438857957428,0.9453732970611256,1.8523835703836702,2.379035904906342,1.384375990451533,1.505895934956209,1.0231099835044737,0.8733822376797392,1.276391978897269,0.9423841984833253,0.8946027300900157,0.9770844681370899,1.081629444148081,1.1776324535782354,0.9394076636970446,1.003527950609492,0.9528176476325342,1.1042198272795092,0.9124947882040799,0.9327015830759687,1.0024668172633473,0.8807981215898709,0.9541976620370416,0.9102974313524466,1.0420052728432099,1.4625894162664919,1.070053492384174,1.1305496359202658,0.9290595172415262,1.4428390759042464,0.9597548958920877,1.0585454731044845,1.0019167985417643,0.9983973036950664,1.0539996178194813,1.0423332910106717,1.5003075234478789,1.1812737428888067,0.9307395350119635,0.9419297082050858,0.8992510493730905,1.0982204848176964,0.939778148414757,1.1346500914379822,1.0174642018465005,1.1272327294952718,1.0626646261186974,1.1092226718798748,1.0165212237820749,1.0827289230403887,1.0074615388383206,1.136799931706893,1.187511987975911,1.6474613087162966,1.3312478052523185,1.4547437352187051,1.2292791379611598,1.2887171497153291,1.1849253517421359,1.1289590601674162,1.2550866559134248,1.1309300172436143,1.1057487787344054,1.1618972877099167,1.0308745897157052,0.9180756291786529,0.888811563423208,0.7809433969573722,0.7300412475495394,0.7123934197344736,0.7559908399211351,0.7192218470641863,0.8189640071495966,0.787972802566473,0.7340661218303005,0.7131636003695594,0.7413978967919378,0.7085915134239509,0.7332756941934433,0.7886021678126116,1.007105436450529,0.8596181537571382,0.8978239468342675,0.9358294228613211,0.9286406808133385,1.0197051422059138,0.8852159246485982,1.0123033781502178,0.8424503999810029,0.8488933873775073,1.0179941585147352,0.8183916718748027,0.7372990726814325,0.7277858941943414,0.8812181319140142,0.8635806042529103,0.7720096603913637,0.6910028258663227,0.7135707376096176,0.7560970702179087,0.7170819651758386,0.8127410010762525,0.8947805870337615,0.9392699079177841,1.1594219603103846,1.2365985516300897,2.033495141191473,2.3698440097072755,1.7897049826015607,1.5768051044177946,1.1935544555687396,1.247707177408381,1.0473377462925657,1.1596897202733425,0.8719967970953225,0.8592702363325339,0.7243613428321484,0.7566429806665768,0.7976241493891828,0.7769000950378664,0.7965038950131222,0.9871408264980868,1.0378108795208534,0.9967168639145336,0.8403822844697234,0.7802210035560031,0.7744816119605056,0.8292261096274053,0.943425267410478,1.083340249326836,1.0685469978629594,1.2601919388294547,1.0543510065476398,1.134130175312766,0.9873402278229757,0.9705206843625396,0.9239799024550877,0.8881366004454669,0.8213474649273869,0.8212589492115191,0.8352211613925498,0.986429373049817,2.072397418375419,0.9824705842984337,1.0010918345528181,0.867287251867945,0.9303744508172707,0.9745179778747664,0.9067620615287509,0.9295673591618656,0.9535989328439668,0.9735754587094071,0.9862697726387519,1.0586955384309702,1.1087035840607444,1.2640463853370953,1.1026516662458115,1.0368421504222376,1.156496922744484,1.1355332869326848,1.0404157317992033,1.0732476191434692,1.2638128719606858,1.0721611944625062,1.0900612392513418,1.1631600988316257,1.1857100402350587,1.119826640889692,1.2144574921163132,1.2563140477634784,1.4120749461124371,1.3981484072298442,1.1578625904374387,1.2055112183922447,1.2532678140498803,2.0279419251960347,1.5005978152766994,1.7858268357023246,1.298418506175804,1.4647725815268784,1.6102578711842155,1.5057635324654568,1.4123468113221596,1.2260678411020869,1.5646793366049336,1.2079217316851059,1.358363919961744,1.1510655899746371,1.2262930668611374,1.3540013642456457,1.2242602840552936,1.2983384163863791,1.0406681047301205,1.1219453864018003,1.269237829076004,1.409952711750393,1.6197770922812311,2.0319238262853805,1.8636672817447535,1.557928428136749,1.7213204059082332,2.0366784476047033,1.7851489679884636,1.519312049366741,1.8524835143559915,1.9262108204575639,1.521640800330464,1.6297116802794527,1.8484446832375236,1.7060614789156006,1.4690305021722263,1.616155024317436,1.4189148578732793,1.4991845894369609,1.480669315984801,1.4382152420302534,1.3771130067347401,1.2026199512352838,1.2273762180061472,1.1811335203818611,1.1367455750234077,1.0729416335792816,1.1350613678551231,1.3029855086211353,1.200355185979178,1.165086225085608,1.2746087561079105,1.617904556428845,1.431782267200926,1.3955630552634808,1.6244146972112363,1.7687866761789308,2.0474184502122013,1.5580976657361396,1.2494016130046477,1.152662895552597,1.475010963883195,1.388710313864298,1.4861507779156555,1.3524990266976553,1.1081192305847372,0.9783110279719743,0.9677966154049014,0.9111579333030388,1.0361120718984087,1.0759607821560238,1.090593764009633,1.7128721417723536,1.0385379949429352,1.0486765312144466,1.074354641939187,1.3284276178180783,1.0152319713463072,1.1383343172849478,1.3468332582286635,2.415993799722505,3.831168838905876,3.420414064765374],[0.781140975152751,0.6143541019945162,0.6671979623281821,0.5764324709585981,0.5778325437598145,0.5719039908893544,0.5088405063499329,0.6149492535885744,0.5169238585840531,0.5267655941798951,0.5941138589752364,0.7624508285352705,0.6206274953452862,0.5868594914897102,0.8029815021561706,0.7538474427185843,0.6500536715821118,0.725898405635359,0.7734382802983325,0.7048623832884912,0.8024143795648638,0.795839349602853,0.8809548674842744,1.1594481324288972,0.8486570473718332,0.8796035789761149,0.6909871622398871,0.6516640427189341,0.6705266483478151,0.7356866611263111,0.8302772491436234,0.8985190211913445,1.036457589113836,1.0159015947769545,0.913057024428614,0.7847388334970734,0.8110318565294367,0.69467769891027,0.6378356575755088,0.6592182691319947,0.7353657804576567,0.7229008717280951,0.7348682984044655,0.7164576142022976,0.8964993995734803,1.6475623241682003,1.6052311602156866,0.8797881511437016,1.7766360287313419,2.2628780105402146,1.2542066498689042,1.3321701704930502,0.8695790353330383,0.698008022522056,1.2169122216835802,0.8292648371492503,0.8279603056073972,0.8856495308775081,1.0016868651032906,1.0849818131482245,0.8554368085250376,0.9083118365554422,0.8585714964872223,1.0403023838417491,0.837330849217418,0.8613352829366367,0.959061800816358,0.7943963000958872,0.9336759336891802,0.8526491843371107,1.0721290685604188,1.5298967809306492,1.06419835123454,1.092249794300273,0.8443016391129776,1.4077545335569859,0.847315401024705,0.954709298433105,0.8619115060167639,0.8576349356758639,0.9043313440437851,0.8871479269234573,1.4374112804734913,0.9672289734373329,0.7111438220454728,0.7548449818604849,0.7434902389174877,0.9343321730809928,0.797141502481245,1.0077066667872216,0.8889178046800924,1.0583891733637218,0.9616340808404064,0.9892052842575705,0.8853099961783943,0.9556326173529305,0.9220805606256107,0.9725544028061113,0.9927570189587205,1.434790231647889,1.1219445153367775,1.2184097331787387,1.0023184561134817,1.0391670789198812,0.937399021366264,0.83815105670103,0.9829220948447369,0.8061752668655546,0.7765414461680561,0.8673765192853121,0.7187450167724666,0.6058637558260713,0.5558767973663732,0.5375288370492273,0.5467495235267622,0.5499084930462304,0.6490418336322044,0.6491522541870656,0.7740616246979993,0.715460336543235,0.6785067949662152,0.6208034311371246,0.6609800888149692,0.5336995220588793,0.5164313144191033,0.5211067039251362,0.646611451144924,0.5444818117755448,0.5422593660499753,0.6150374693119435,0.5639222635247275,0.6618448662507166,0.5682747382064394,0.7454174524234916,0.5764657420175762,0.6035084628457302,0.7872447821885267,0.6169619865967614,0.5927857204654585,0.5856889276030041,0.8597634284628977,0.8428935775127172,0.6802541652620234,0.568476385413849,0.5557034169998168,0.5850621413972744,0.5382272377888473,0.5894546845172782,0.6200865927236334,0.6541981291687857,0.8704046877980084,0.9795679480416076,1.8212004934396495,2.2637854064374534,1.5997950544459745,1.358931157742648,0.9598424261734909,1.0068921349310327,0.8217369463420582,0.8943215429132475,0.5927877139749766,0.6273974924319944,0.5292332146414854,0.5689850183683001,0.6187087279379865,0.6479034615797,0.6175135002900256,0.8731619826347102,0.8982166820644963,0.8848514659993232,0.6337634841435795,0.5651389368749121,0.558398585901947,0.5833940632051144,0.6867190544267304,0.837229293049695,0.839528900259475,1.0573185404218204,0.8213895786643545,0.9210083293652593,0.7251086062309879,0.7053981410607584,0.6557474164505033,0.6139453927813697,0.5768339579678914,0.6191478387203854,0.6373885925481692,0.8725143003356398,1.9553892346739912,0.8445137698805412,0.8190155395034386,0.7107154021994464,0.8125825091549774,0.8644988827913066,0.6376939217824333,0.5829683888414399,0.5843841166028623,0.6093925284654388,0.6309270206768792,0.7122586177455554,0.732486824213242,0.9094111059488882,0.7388559944116325,0.6810286936513539,0.7757672313143457,0.7553174897272562,0.7481823131675247,0.7415219030476679,0.8997831679045947,0.7238667937021209,0.8236368906684226,0.8588427904544358,0.8264036761142499,0.9621584702666321,1.075435660117933,1.1087142922966011,1.2528691785858632,1.2191192153050363,0.942028540717503,0.94864595401956,0.9533149600066154,1.8295391477689356,1.3223303290798263,1.744983589072074,0.9883457452722056,1.1139004502485799,1.2595000130644503,1.1955661706667238,1.0675452526095797,0.8781376318969738,1.259845010689353,0.885179716430786,1.1479669408853752,0.8320904427097476,1.0209794150646527,1.0680258740815585,0.9203155398636534,1.1579037931623797,0.7381635610504188,0.828749208796353,0.923183853115002,1.091034229518572,1.3104156210711804,1.7132036266931967,1.5613010828841474,1.2388890502584844,1.3828212219247922,1.696708013405094,1.4538546451649343,1.1652691829068336,1.5000339506654692,1.560701260389868,1.1474732193279706,1.2731304056377768,1.4656795854835334,1.2786049342412131,1.1330105437660578,1.2745300428143613,1.0951357108744841,1.1600230425175573,1.135254605126354,1.0967003240698714,1.0807402542903894,0.8762715020059888,0.9034261468937483,0.8683700892924454,0.8518366640974133,0.739057844029831,0.8064721008662592,1.0410078598513188,0.940442850979616,0.8809942150285792,1.0105240325662794,1.4152031856036553,1.1537074672407763,1.1644306934727802,1.4051388296707366,1.5915044206787945,1.8899577906290674,1.4097319851018606,1.073467748928112,0.9583990207501375,1.3305465187137877,1.2107013045721573,1.2993052642528315,1.1256608755293158,0.8621986336410056,0.66573441837826,0.6147263071261959,0.567322436440914,0.6658491243055953,0.7126023906180974,0.7643906193206867,1.4381030261823287,0.6863645696007998,0.7051767981994774,0.7016456715370389,1.0129144495256135,0.6536107644662027,0.816925877351789,1.057810744096375,2.5092379237706823,4.060070451290091,3.6478608195719953],[0.7572740245643533,0.5641000494106665,0.5948431014804988,0.5335818546467155,0.5660598630257,0.5236179913134131,0.47729455653955444,0.5891228704781037,0.4924616289143182,0.520101515011309,0.5903571844844926,0.7605487271697782,0.6170341285399576,0.5968536106552528,0.8027313456878915,0.7618418075072488,0.6676436592240335,0.7599889939540047,0.8220639162863083,0.754636814390028,0.8182895186722932,0.8262930004281951,0.9383644425787409,1.1701518624724054,0.8907529716028793,0.9120037939770362,0.7242363636529037,0.6698347981668089,0.7005789771432125,0.7709816381901293,0.8584771532364647,0.9201005798723194,1.0747541340715456,1.0422247657250376,0.9396214538649332,0.822962408571121,0.8233994900737748,0.7163200209754286,0.667156212953676,0.6844773193053735,0.762036752973986,0.7500899855229087,0.7818385602707463,0.7495443717777196,0.9250729206497575,1.6930508231483796,1.625793832391645,0.8748450533216968,1.7883798684458045,2.212699790076779,1.2953029777832885,1.3786519406747073,0.9260341774583776,0.8127323642243275,1.297461218646665,0.9186889273585024,0.8784540482240191,0.942103597959907,1.041507664113147,1.1137264988990787,0.884385998346059,0.962283553554568,0.9092715904594191,1.1389468016034656,0.9010337911085188,0.901194442507319,1.00834291234157,0.830971341758988,0.9701792088579914,0.8570833604743321,1.0883293717674476,1.5557992928830304,1.051932573248833,1.1236488537727245,0.8758626556920719,1.4365465716654655,0.8938680515107038,0.9999394067110147,0.9191070069669179,0.8974866511374809,0.9436622413495038,0.9376397440767519,1.4989166944100305,1.0164745371201886,0.7193526768897692,0.7720960773321832,0.7827285425190562,0.9481667918392394,0.8353424201385905,1.040970088264178,0.9393899714550618,1.074822201000751,0.9966247760617885,1.0257052211724067,0.9060731232260966,0.9786136726038654,0.9011840083258433,0.9745608233989799,1.0005976437684778,1.4342370276312937,1.1105166755310545,1.2011551382853063,1.011608184210353,1.018350388728485,0.9380368796133409,0.8104954279371342,0.9581813858041245,0.7598549447460582,0.7342271294907222,0.8382504102414686,0.6762238912412851,0.5968804128883276,0.5380044673533521,0.5475798104406956,0.5562308794259907,0.5746501422133866,0.6410902835124471,0.6834653377440286,0.8414515885218206,0.7561488812285452,0.7301240210233587,0.6587866649021411,0.6746355156693636,0.5475332466980994,0.5122636896242191,0.5024162548169205,0.5891579775925652,0.508058293754711,0.5011506888002532,0.5911071238520745,0.5273520974104987,0.621259894407659,0.5424232138242238,0.7560551509963866,0.559360002214943,0.5857455409165103,0.7266113022195895,0.5837182028366019,0.5926504493792114,0.6052621868058463,0.8832708803270723,0.8943396456086856,0.7326698278349034,0.6071430799483261,0.5930098432106621,0.6136158419400289,0.5668758957839181,0.5927475940257771,0.6269142205942435,0.6524164839418873,0.8502934847582826,0.9661777879199153,1.7734617294274213,2.2885367429918637,1.5934309618542488,1.3372424168123478,0.9506530053971871,0.9932020155305893,0.8269276063177204,0.8890969937865032,0.5852505819345358,0.6231842223980159,0.5501181441581909,0.5862459364907054,0.6349101046621076,0.6566623090796017,0.5988652421514338,0.8192624885328923,0.8409994332199854,0.8372190671335966,0.6017558909110966,0.5580048935115052,0.5373836606141684,0.5880185780837492,0.7004014473349139,0.846160483984035,0.854059942478568,1.0700134274875461,0.8588901090054273,0.9305205608065991,0.7399981272131408,0.6968407369855674,0.6383526602634807,0.6125332449553952,0.5810281046672112,0.6311948478377603,0.6540972460106771,0.9215659825779794,1.911866857714584,0.828935008748378,0.7908612447299399,0.6946674682346563,0.7915857995157342,0.8396589287816688,0.6021550123894629,0.5509719935712926,0.5484911638238404,0.5574360471304358,0.5759657718603355,0.66437693795226,0.666759158021395,0.8262449710110054,0.678104984819373,0.6171971212346486,0.6808967468360515,0.66404671710514,0.6848856773308325,0.6687011796643437,0.7844869243537407,0.6556985634552397,0.7669544259482239,0.7958952944157216,0.7532785644890059,0.9488709070031346,1.0468069186583027,1.0598904985552133,1.2230237733688867,1.1430378527602818,0.894200691929092,0.8960297575331901,0.8740904235464448,1.8215100654245833,1.2388506424170742,1.72795098113286,0.923359060837445,1.0172941006279679,1.1499279438001142,1.1082635349966303,0.9566702561618026,0.7821534038528365,1.1988616064515811,0.8189538570303109,1.1095601057735833,0.7657044720205616,0.9924019113684223,0.9711937661065098,0.8530749891855738,1.1696697482050236,0.6885509042494224,0.786423830052391,0.8560860066544976,1.0192402165863872,1.2264168658444776,1.6131320913889522,1.4713474939802924,1.145635166050308,1.2619466066394438,1.5760190482887473,1.3324245658168892,1.0385700923253958,1.3515209520423896,1.3985963897735236,1.0103390027128687,1.1259691121672888,1.3012934035161157,1.1009454730319295,1.0091752615261058,1.1407216458673692,0.9792336714370188,1.0276781748114687,1.0052183832321846,0.9765083888107902,0.9762508098029283,0.7798189107117823,0.8088485737407405,0.7866114204563438,0.7870448432703383,0.6658427616903179,0.7241099512935324,0.9779013941277326,0.8548567882993726,0.7951896017222148,0.9159969703212656,1.337550614820622,1.0404656759601536,1.061390942411913,1.2974823269870956,1.4829371288301803,1.783912773458387,1.320487298881351,1.0050654908608432,0.8953304427257952,1.2398329281814016,1.131100011956296,1.2058810796523134,1.0374921479778143,0.7946378457534098,0.6377511631064844,0.5579247011513074,0.5342776013432442,0.6311887456975404,0.6402703990606471,0.7243844820353472,1.4143088206810233,0.6146445450053896,0.670700012101676,0.7036238078539242,0.9389544948139775,0.6485286310090496,0.8054514080353276,1.1062455220981553,2.8071534541059115,4.360807399000967,4.0265171851282195],[0.8006524795228124,0.5417176927022681,0.5746015300039813,0.5102263328912949,0.5116390878934022,0.4437826169784052,0.39354735928614687,0.5661711020277966,0.4204780971764769,0.4369985635097792,0.5161910031687501,0.6984253119287466,0.5468273015837302,0.48357086595786136,0.7069482749979128,0.6763735412592942,0.5770148726927634,0.6618486711315835,0.7215085069310011,0.6597997265189309,0.7632213521807367,0.7537489242415153,0.8809082418946156,1.1038128441551762,0.7570458715963795,0.7867933000210222,0.6213626208979448,0.566037622843571,0.605341004442813,0.6939876308088838,0.7805252456487028,0.8629809133706936,1.019972841475963,0.9685426085565334,0.882057869844994,0.7504237347328093,0.7620623701133045,0.6278145125848933,0.5839118841481487,0.6081329883213817,0.6835124158198808,0.6714646447118373,0.7016900991835968,0.6658320694508217,0.8290725920350269,1.6442138871892826,1.5604158677360873,0.8077007104161772,1.7659717379680748,2.1525696018827687,1.2524163916223698,1.3604497988025561,0.8972160623662274,0.7828676145332224,1.2988214642786855,0.8736572612060752,0.7977473483956652,0.8968857778815957,0.9994359172053354,1.0508365604467205,0.8217235794125364,0.913672462611035,0.8484048626322631,1.0684719110678718,0.8354089654249157,0.8260936923566243,0.9692208757550136,0.7644628685432431,0.9126898976669567,0.7863655499916552,1.0278731769203622,1.5115763464441665,0.9989767918524426,1.0798379755811887,0.7986497435935126,1.4075517020951518,0.8164308006997159,0.937014307371388,0.855467214778291,0.8388612687408009,0.8904097636965793,0.9032754780065143,1.514299865049313,0.9865566752959923,0.671725065254023,0.7206904330277623,0.7143812991709542,0.8910333598527747,0.7690627133728833,0.9795854051332451,0.8668897716490641,1.0236166086851832,0.9336693558391351,0.9617424192754088,0.8338401780820567,0.9077277654808298,0.837417788816466,0.9061985253627909,0.9273968504272252,1.3716000874898897,1.0335935235075469,1.1454186236946435,0.952439120468139,0.9657905532468907,0.8873993921278227,0.7820094083319621,0.9272572136006955,0.7112210580661624,0.6908819078234835,0.825283299237901,0.6417399100352562,0.5497083792422008,0.4678100959610123,0.4871544374762116,0.4805534982805149,0.4843603141207054,0.5260966353811685,0.5599860820514275,0.7302963016024203,0.6449955039247515,0.598140480256785,0.5191412410383568,0.5533896622794112,0.44615284133313976,0.4189243921224554,0.41047024386630643,0.5339713092353944,0.47375707974599224,0.4684347581799807,0.5506222096574404,0.47511728637349504,0.5620040053602768,0.5050962546758103,0.7300729669548158,0.5272229325844852,0.5355718160992003,0.6740648871079172,0.5324861084455892,0.5366193304373196,0.5165434672108271,0.8179864401368077,0.7931751905058217,0.6175962864555452,0.5026538734729056,0.4981828858916374,0.5359271209619757,0.4909792298624643,0.5310520118453326,0.5753494165375304,0.5838620698478679,0.817781797917189,0.9394715399970686,1.7205361311410294,2.3346766426444776,1.5929382596026018,1.2903785054131387,0.888487604001508,0.9363647953699051,0.7762672768941764,0.8308170905121883,0.5475521065414113,0.5626792570390106,0.46651692114417553,0.5170832383491167,0.5744623535319338,0.5940418542313981,0.5386711477951972,0.7330524714258054,0.7445551930712455,0.7402664304404821,0.5451805920085234,0.5020444396681027,0.5046494960350328,0.5438767809745433,0.6466903057481027,0.8186408775738846,0.8207452697815146,1.054188830253048,0.8266092147593903,0.8973884693995084,0.6986398085976973,0.6550238567921527,0.6060282191723049,0.5771841935838435,0.5519386533061141,0.5957333794655307,0.5501661764654607,0.839171632010353,1.777937313973448,0.7341137106862953,0.706693971336127,0.638334279333675,0.7611538637944644,0.8204095313323228,0.5943235255716652,0.5171692761245542,0.5015411385443849,0.5043753263174823,0.5552499635580241,0.6092883515534607,0.643612610058171,0.7776439036054021,0.6338564978786053,0.6050171161336064,0.6638635665328001,0.6481429654286406,0.6587077564246545,0.6609673613346287,0.7558843182305602,0.657981361338144,0.7654555162913588,0.8002544128738823,0.7694057468937631,0.9653416189428327,1.0312824633860331,1.024490940884528,1.2479003873403962,1.1040451906527473,0.8694408867473871,0.8753279126567819,0.8350265451390834,1.8519781838582063,1.178159101843768,1.753955172973374,0.9055269005305248,0.9886206580173479,1.1190724175735665,1.0871779429634174,0.9255048832792009,0.7327793385927459,1.1623668153330935,0.773092472068954,1.0505452763934686,0.7159523250686147,1.0033930283591672,0.8824492305247503,0.8113050200059505,1.2035089004917034,0.6856520957444042,0.7621614730858168,0.8344028476614526,0.9682129785908751,1.1438995321867143,1.5130078966501856,1.374187239260108,1.078019185777177,1.189439498208423,1.4920370134942773,1.2278891122782412,0.9806946798440727,1.2747033055564156,1.3183044262470665,0.954649419181023,1.0729928931757746,1.2332253055590494,1.0549853131570996,0.9965204059414033,1.1103147320132707,0.9733893410431473,0.9948330853053172,0.938707834008642,0.9247184487215165,0.9505428382928495,0.7579629276937452,0.7504166681685329,0.7569160909391478,0.7609545347828977,0.6381076108560733,0.7063229649958389,0.9326112585707935,0.8032560874020843,0.7385039587089424,0.8585524710391956,1.288926472003215,0.9738132562197712,0.9933810202154008,1.2241486636075727,1.39687963647408,1.6825237434286142,1.2434572113951565,0.9492698719055734,0.8580232045553772,1.1608757837932613,1.0619293047928617,1.1191362707101025,0.9608819190953606,0.7204781195376798,0.5905273559226355,0.5314378002527289,0.4903042429572174,0.5801764097080468,0.6116712298570753,0.7535487528582696,1.3930444769204224,0.5704971287655697,0.6684187398537352,0.7568635373969268,0.8973377884785428,0.6243139904013724,0.8317920828052843,1.2571041393295168,3.063329478907632,4.572061231088303,4.34872159530914],[0.8274219275637766,0.6025362572999802,0.6658454274952709,0.509222465186126,0.5814114301860092,0.5198968361613756,0.48252010928128236,0.6715364207023523,0.544156734739316,0.5758829871727167,0.6851459620799749,0.8804358664883803,0.7347449849236208,0.639657494488719,0.8993900341904525,0.8983335498580003,0.7364887803483466,0.8432990938367659,0.8739232625532809,0.863362765738218,0.8932591764305692,0.9217138445709903,1.0049622185142078,1.1551842646327033,0.8791249048443608,0.875496547823081,0.7569324368082534,0.7142614528846598,0.8075941027865561,0.9143723804756796,1.0153940636042484,1.120201372582551,1.2869748765549098,1.2847324103869626,1.1652803655577564,1.0024012394434594,1.02999211354361,0.884334066137298,0.8020036960781376,0.8501996662264417,0.8091890691656073,0.8732519974974012,0.9164231954620817,0.8497967153729497,0.9445407185232239,1.6875748985376808,1.5647210661272473,0.9693373256871702,1.860885883152762,2.251639161789441,1.3585820358014347,1.4887099843566074,1.0470637022339928,0.9173923010079422,1.4820976355071604,1.1078013495688885,1.0110351511416038,1.1241919129664124,1.2644358107832492,1.1968905977676623,1.0464551643700897,1.1863169156287499,1.1348186801592939,1.2788030210856811,1.0406785586366494,1.0612335376556647,1.1175026418222003,0.9841491594322274,1.083979683387237,0.9901943295093609,1.2027249148341077,1.706462892012547,1.2214072009002939,1.2310639000788461,1.0408582836085603,1.623549957534288,1.0887661005915659,1.2336994255460516,1.1378299538363361,1.0986177554008294,1.1909670128631773,1.1765717747074738,1.6806023337460883,1.2449822873174552,0.8883451601304423,0.9760941553865858,0.9773720528090226,1.1929185757004175,1.0320165856277121,1.2289368307376216,1.1479582930285122,1.2827398242820653,1.2034855039795143,1.240362110971378,1.0947535094963157,1.1488095583118523,1.063697248161271,1.1662649882630662,1.177477763482757,1.6088728908843823,1.318938509905373,1.4069269810938656,1.2340331222467675,1.2132257189235682,1.146293505256955,0.9991435222451106,1.1487362705615445,0.9316744425741202,0.88263428052534,0.9746982181377086,0.7977440148746933,0.7228299612624107,0.6010034926156224,0.5971274798894628,0.6026121069356899,0.551118032746118,0.634560719593213,0.606171250705778,0.7547021721983967,0.7178424235490075,0.6607650810369257,0.5891864977117842,0.5921688275691791,0.5110213561721415,0.47092454027263986,0.4717069194826747,0.6348288254601806,0.6067597010306153,0.6195090885005119,0.719867857625537,0.61455593996487,0.7431281824373727,0.6514136028907891,0.9087001305988317,0.6427548524145071,0.6235694000620231,0.7401353695407225,0.5626323379551162,0.5379244480896832,0.559158467906399,0.8190477810021268,0.7759282594131317,0.6752774181303812,0.5859468583954307,0.6374006714833126,0.7001675896571802,0.6234184587056791,0.7020945626923603,0.7611935320174424,0.7479513906939349,0.9798747239485947,1.0637103446232359,1.8984850732417995,2.3455296897392306,1.6833305422632512,1.4977368007110794,1.098747612280964,1.1563087276127049,1.0063517525589407,1.051380490381886,0.7175989657470924,0.7732769487299482,0.5980724457752149,0.6948439686545033,0.6945190632689042,0.6294170208417459,0.588499705931895,0.7380674466051094,0.7637201536789678,0.765530152110257,0.588413146454193,0.5866454564496132,0.6397983162996825,0.7354515214979714,0.8727907867995166,1.0513166632912647,1.0469479510600679,1.2743181945370767,1.0611246089541568,1.1271100230398152,0.8931710942184165,0.881294654725119,0.8332383877278894,0.7840586935652155,0.6979091754599676,0.7882472629323071,0.7562145279331953,0.9585750231209759,1.9419227834183288,0.7671541376398514,0.6882807978498895,0.6542797555068216,0.7609150493907988,0.8689477272232061,0.7086459386205698,0.6717341030194517,0.6248916770879994,0.6638171993211467,0.671122884421335,0.7769570165589178,0.8056652780003042,0.962389831368869,0.790034949704357,0.7083591126217227,0.8016380847324658,0.7704995711880109,0.7359196082346576,0.7736840888490982,0.8936900366026294,0.7629140047688865,0.8857524868691702,0.9453624090574253,0.8916311125413637,1.100189674547225,1.2015789938911126,1.1714716968084398,1.401271871883639,1.2474978898876883,1.0043536668106372,1.036265819392483,0.9995309195437146,2.011231440410381,1.2914952352744917,1.8072958000606767,1.0581174156803796,1.1914373379610264,1.295719542168603,1.2659552600367332,1.113012999758433,0.9192227174230171,1.346477127865412,0.9389670119033062,1.1412142247725858,0.8801957765908184,1.1422440193887227,0.9719412603114105,0.8907983495346891,1.2136475511664249,0.8099038983389717,0.9440284938480286,1.030511657606404,1.1701843016342022,1.3647318659326624,1.7309273079065493,1.5960218663359842,1.287496756217283,1.3772253616115464,1.6965214053966342,1.4286223528119621,1.137029251456059,1.4346668002873135,1.453000609146267,1.0869414236678667,1.2277188076152619,1.3927042609271234,1.1759776587337183,1.1221960910930722,1.2664501282695249,1.1401269514558283,1.1768105212309325,1.1223886320012009,1.1267364177586032,1.1304125062227341,0.9111200121441186,0.9280003118844626,0.9259283727754236,0.9084952253577385,0.7606542594077729,0.8349075258301529,1.000075094902871,0.8949065441354382,0.8244089589342778,0.9385871321699564,1.3003718084273288,1.033413286736783,1.0698072341759524,1.2876520678259689,1.4864079078506913,1.7943412151703806,1.3424572636930143,1.04698279817435,0.9628306592688015,1.247070822357023,1.1223225667287076,1.164304358087298,0.9590961432098943,0.7794527336232653,0.6482030509902804,0.6385720077652359,0.5744660892151705,0.6781918949883803,0.7751368053045798,0.8535646558113551,1.4553329843664677,0.7240170623010794,0.7698012856277846,0.819761535231678,1.0137206977374063,0.6805577949153037,0.952994435095095,1.2674371211506625,2.8463944869827245,4.478070080595681,4.338294839489706],[0.771522737394024,0.5433443083528807,0.5914474673046733,0.4706063552213263,0.5334593283324491,0.4324137309997765,0.3992612355957849,0.6152935212149039,0.4468064279448553,0.43986132776164066,0.528891788326523,0.7423811707135405,0.5759898402192863,0.4841933150049319,0.768435245768258,0.7313020336242775,0.5897718980527956,0.675431870379614,0.6958896102668269,0.674410830339802,0.714388712909948,0.7326922474355658,0.8222601136732677,0.974762844441929,0.7311933980262476,0.7307838095432514,0.592516972689842,0.5685784002536112,0.6422901914118794,0.746672840889281,0.8354473682516675,0.9498382445927099,1.0970626851784482,1.0827300149179657,0.9815842130218203,0.8167023159311081,0.8582094594023308,0.6938307666043033,0.6305230425824526,0.6770411794351637,0.6680558517462918,0.7071068437975301,0.7300598741202905,0.678498977367935,0.8108804939566573,1.6230895651225834,1.5307516902416174,0.835851559427171,1.8073327804726305,2.257432305994557,1.2440472168818555,1.4343755971061076,0.9512722914882212,0.7489904973239807,1.3536016037537648,0.9458775151750014,0.8365772811136551,0.935965950291465,1.0523299059462863,1.0504942943802482,0.8536026253498694,1.000958887445874,0.9349437324177774,1.095642035865962,0.8407998188181146,0.8635284151840519,0.9513624834565236,0.7932234557008546,0.8968009875673434,0.8034359286565071,1.04310825173659,1.524813219992825,1.03752355363142,1.0431282670964976,0.8449934595465762,1.4189639699650851,0.8921138359045957,1.0361915904404786,0.9466386820092955,0.9155054853786155,0.9914704163949088,0.9932162408328558,1.5157222308408083,1.0779434289198364,0.7395319250199665,0.7944394495193104,0.7946814958345243,1.0128320704857656,0.8447020405173299,1.0890845545387149,0.9510083389216943,1.097066217415137,1.0021982644823133,1.045719038782188,0.9099212197634957,0.9801751187260767,0.9115403386609766,0.993576920129444,1.0170249450660473,1.4656060875923673,1.1606632624988331,1.2749419357209621,1.0971299047416294,1.0933513075432666,1.0018298699821986,0.895243945422671,1.0513399346294956,0.8305739531202361,0.7835121919899329,0.8871359138915477,0.7145939007521889,0.6160996712530854,0.5001855908559147,0.4952519727943473,0.4760098806204676,0.4441174927266939,0.5147884211067508,0.4582895150657716,0.6253397600591478,0.6073411163998231,0.5346065533961837,0.47749409222334915,0.47213022176440383,0.3934136592826988,0.41083463300220907,0.40931735077694725,0.580419139003158,0.5032286152553951,0.5187697451374326,0.6175906141706449,0.5151138779375392,0.6492010449671926,0.5454618448091153,0.7973345797758383,0.5396253192080982,0.5345022117554126,0.694570289241973,0.4990896542598641,0.4835841593917539,0.4452803084595105,0.6969442375281147,0.638416117237115,0.5137380745550273,0.45461766673983584,0.4863538169477387,0.5446365916862247,0.48570388688446253,0.5714634620539825,0.6238578255693712,0.6303946076403628,0.8906314787430618,0.9787392809940888,1.8413155697100743,2.2746932666845345,1.593401340460533,1.3922067076003855,0.9712692031136684,1.0376499011538378,0.8561301473676853,0.9253765564036768,0.5838471532253909,0.6279248554669321,0.4566829321832957,0.5541709143934344,0.5906057024045712,0.5414125471805091,0.5119342948397576,0.6967991611849208,0.7551504023212289,0.730423116912977,0.5236300755860225,0.47861514355058515,0.5102254976833799,0.601718881989686,0.7271168896475749,0.9107746308387303,0.8975375214328962,1.1360318085609975,0.8993311001797457,1.0161592443826308,0.768300788293902,0.760456923122469,0.7150752860406353,0.6555125131578312,0.5676597087859655,0.6370207863922376,0.6152850671988787,0.8211958433805178,1.9249866560265616,0.6779372805522056,0.6242532297631972,0.5521441399836569,0.678017634509658,0.7772043940913834,0.5852566682515447,0.5606433870109054,0.5214226162749123,0.5635088152820569,0.559549598580147,0.6701855685319419,0.6936644452173167,0.8699065607875752,0.7006501372020881,0.6076214048609758,0.6863122696776947,0.6632002860681967,0.6669362073671996,0.6541379842605732,0.7529902167855697,0.636756742718835,0.7714861747133746,0.7841643719461938,0.7332148115548541,1.0066277537123527,1.085931614661553,1.0837001650816191,1.2604024992735756,1.1641381318866126,0.8823181590194004,0.8801981260847925,0.8516374981934409,1.888352963616618,1.218876840472753,1.7370726809686408,0.9386437674455795,1.048252079135727,1.1828069444835962,1.1442658451264898,0.9678440995192784,0.8134964774430122,1.2398058158378118,0.8426647645386806,1.1161721159246811,0.7887217671247079,1.0365571977861872,0.9374417671847474,0.8108947540997362,1.1442913229458365,0.7003513273537841,0.8398968361977615,0.9321262462738715,1.0767945330909559,1.2826974036983665,1.6653852026025953,1.550335739650196,1.2005596265724325,1.2912960516580652,1.6271319797293875,1.3900875379103697,1.0576903062790692,1.3610477521469269,1.4011215753725965,0.9849385311213237,1.1109755932906464,1.275512434218473,1.0618631380802201,0.968194271138168,1.1117296638948733,0.9729596658304601,1.029141360656457,1.0072493413834993,0.9868066829774498,0.9659285020435641,0.7605222271338795,0.8064615153456605,0.7710138443958828,0.7642224364938045,0.6433145557124166,0.7075209496416518,0.9189476440202201,0.8230317119887827,0.7477645218664416,0.8723049137120582,1.2899821022861058,0.9879104410824324,1.0314571349866388,1.2516080194658723,1.4654243576012553,1.7973531415866248,1.322628257778089,0.9959989332063287,0.9081826447081081,1.2328600932119418,1.1032927245391437,1.1563427212554067,0.9485325091394056,0.7238949757270564,0.5794837151419725,0.5370527034462724,0.5026820871610692,0.6097588024317203,0.665126719689055,0.7227773225380275,1.4286614457767497,0.6340420752543819,0.6349833568761005,0.6764860936105054,1.0117878181881368,0.5697708497501267,0.8310634255132056,1.1175265594966695,2.7022366575134478,4.337340958751052,4.088759288848213],[0.6936409311377872,0.47889114677781,0.5600892976446705,0.44653948975687163,0.5124452773544037,0.44992304780939757,0.39287209410374685,0.5962840095066698,0.45562076845808797,0.4353957301468595,0.5313541838310234,0.7522243327485049,0.5695427864305445,0.4742672404399693,0.7278328490302688,0.6984493830251666,0.582628124666309,0.6586651295223744,0.6724510236831076,0.6545468753154695,0.7079339027978149,0.7133513384878706,0.8000681120275241,0.9934373352450938,0.7176410732895235,0.7190405490111678,0.5749141550810023,0.5481636322093849,0.6100116088152541,0.7178581998180602,0.807214329006499,0.8914598535435118,1.035169452916246,0.9955433301340616,0.9168130078762983,0.7675420207532677,0.8044159710510751,0.6422983323405513,0.5991920036160039,0.6337982038276891,0.6874259225068542,0.6504402381963432,0.6639923572941877,0.6445161738352982,0.8039126164979231,1.6216196513092969,1.5324403462717324,0.7799830165336213,1.7471143394703865,2.1879461101121778,1.1698508850991316,1.4366693601407963,0.8834354204580482,0.7404258489102193,1.2487717616973177,0.8442271915089843,0.7711708253901987,0.8462570073074634,0.9570023504867416,1.0500687999393745,0.8199556200714881,0.9388951339483286,0.8606747411283958,1.0091632714423826,0.7972555645209355,0.8236709752731947,0.9177950922403639,0.7624389593877258,0.8472841211058014,0.7677462333077808,0.9935002047226663,1.4757386840625673,1.0048895308164947,1.0216666248804243,0.7965425076173841,1.3734111118552301,0.8331072830681975,0.9536400656760375,0.866224263869054,0.8436705690385569,0.9044258913481393,0.9147414665469216,1.495223658621646,1.0065154821917328,0.6882766147794527,0.7328776274503327,0.7268828592371839,0.9489924444481107,0.7798687594627293,0.9931560690018012,0.8874551198995541,1.039228736500298,0.9428765634091537,0.9802818376581878,0.8628658169793076,0.9397141718889077,0.8776265317488999,0.951289690130076,0.9746384692143971,1.4001478470874622,1.080190198141425,1.1938440325834199,1.0028092012995942,1.0114368209012259,0.9163065767664755,0.8388867035729027,0.9608593072520697,0.7448579399967752,0.7255315768032907,0.8247240198066311,0.6694156709171663,0.5756316457429684,0.5029195934806193,0.4727214536410816,0.4757784143893468,0.4453505491738031,0.5061672809479778,0.4732752460678952,0.6377558555171723,0.5957076595590275,0.534504497847373,0.48040536500514475,0.48379453523737004,0.391822974843512,0.40049106670751383,0.39719594629553806,0.5455487623596598,0.480996017205235,0.4795166443978859,0.570596983516455,0.49003364492860224,0.5822668316945878,0.5067102153050163,0.7391049204931534,0.5319260604645029,0.5334781042960032,0.6795022408769045,0.48428043798653586,0.4848467652258739,0.4531778573501141,0.7198535255874967,0.6739698692772673,0.5434700963688605,0.45949722771193063,0.4746779893694147,0.5214969492878525,0.4713334113825595,0.5487872814212038,0.5958922058054826,0.6187964773036763,0.8518151620122614,0.9637469929726515,1.7577777142499935,2.313605939797857,1.602757102023644,1.3270200116047572,0.937462673567949,0.9795683117198137,0.7999989610722424,0.8561371060463872,0.551726877585688,0.5863072445645179,0.44253543875229195,0.5216826434118512,0.5839230816049226,0.5633346608243875,0.5191929810802085,0.731801808423,0.7541205012217048,0.7467661627079305,0.52012696148773,0.4704918640621757,0.4978060773748053,0.5604879390408736,0.668108471466838,0.8451633917333149,0.8372235856077455,1.0745512797060355,0.832794643833952,0.947367933510212,0.7068949801507582,0.6865051762880545,0.6353814225737374,0.5754732554027818,0.5317817128974452,0.5988892177420383,0.5963152108355777,0.825563815116873,1.842384964699924,0.7129953485388789,0.6740650057632307,0.5852102451375131,0.7047137107532542,0.7926202873767441,0.5730945530876083,0.5342305945842896,0.5163851438440228,0.5273129682358552,0.537513080566505,0.6327663992355843,0.6455289617035096,0.8025203602027596,0.6460062787989489,0.5762553596876161,0.6531037156841959,0.6391017188724848,0.6383720624618778,0.6376320882664346,0.7317211027253463,0.6349501034676297,0.7514688835384189,0.7694865950506433,0.7308798633460736,0.9608605282257687,1.0429949617768162,1.032227967265521,1.214683792781784,1.1063335557228584,0.8670952883077993,0.8657242052562424,0.83365337766141,1.9020389421870685,1.1387637039372067,1.688985396499483,0.881402922651859,0.9674478176008814,1.1087230335767613,1.0789764863666311,0.9007333401740689,0.7463018819040284,1.2116414624712277,0.7912872901191463,1.0607561815238318,0.7399688328920764,1.0161607985776167,0.8770526700237099,0.7835840351516189,1.1518909819210843,0.6642059646054976,0.7697428769055995,0.8646529356477805,1.0122318348284107,1.2006824688238287,1.5446459032648894,1.433507125836873,1.119559049443278,1.1955972110079998,1.5206091796426178,1.286682421140659,0.9968542765928939,1.2888705675955572,1.3430592191896382,0.9628366877880614,1.0626936732625758,1.221371904808992,1.045303137254011,0.9495740856677168,1.062632338135841,0.92673490845793,0.9646905241371375,0.9380737956209669,0.9080987426053513,0.9150625514969882,0.7296168332067942,0.7390353358812767,0.7435566266631554,0.7364552593112218,0.6157361573720901,0.6839877378226022,0.8783954370689238,0.7702792905481403,0.701518033942084,0.8200310532847842,1.2469768464727875,0.9752037848153939,0.9906602583435908,1.2055730860611058,1.3804392324101773,1.6982764925802776,1.2407978204146495,0.9390673068981382,0.8510028007357204,1.1685142640221626,1.0535610540554512,1.1046683495488157,0.9129847000418009,0.7002034757012546,0.560579291393653,0.5174928166063391,0.4761832660149351,0.5794282612973584,0.6219530643642721,0.742836834096561,1.4417868290349638,0.5886254708242309,0.6600530987291786,0.7345447569593921,0.9371958099920331,0.6085036678152934,0.822525047577013,1.2169672028464553,3.033473218024153,4.557617814409855,4.260075097671077],[0.8112735280687559,0.5967236847183586,0.6863566678915225,0.5734635446948391,0.6128193609931541,0.5699965997136758,0.5378428876795935,0.7062773607146989,0.5819700228175021,0.6047560045946169,0.685821358264532,0.8960419256246762,0.7522151800862065,0.674185119826489,0.9405267500535264,0.9175870032270182,0.7969930716439351,0.86825425575523,0.8895183408364175,0.8960217078549982,0.9114191616391303,0.9739891245294838,0.9551118173577106,1.1211220111840434,0.9207693361037665,0.9025320814422992,0.8101219536698363,0.7851317170053442,0.8598861792625088,0.9506360469557941,1.0147980246129784,1.1153684364472822,1.2413555342014349,1.2202369181824086,1.1467847137569007,1.0189048280180688,1.0447867833714415,0.9085297706246481,0.8572210794358543,0.9066090924310344,0.8847226930774165,0.9335987618334405,0.942722609276322,0.9112493476479714,0.9753575522832597,1.693013335230054,1.5596850244657967,1.0038588920857154,1.909427092692959,2.318902250625416,1.3532007415180467,1.6229257164681365,1.0832945208751756,0.9831396495021315,1.5073262250574033,1.1512640787648858,1.0584068667602637,1.123890122134592,1.229150266616944,1.1887467646844168,1.0610956098486448,1.1984876090340157,1.1227241758856599,1.2874350014409675,1.0687772439780123,1.076955606215589,1.1481171968173935,1.008708920805362,1.0584756319148039,1.0107291735210258,1.1920162301125887,1.6066428800373729,1.1973228460022771,1.1742178823901197,1.0161013590565109,1.5294205279114317,1.080271760221565,1.191636564141856,1.128948027777739,1.1054113398525975,1.1444639806465087,1.1722972776236749,1.70047191626812,1.2631994144096814,0.9720098640304368,1.0034442070763385,0.9876275986736637,1.1785202674421116,1.0546245538187178,1.2476505689521902,1.1180415359751945,1.2397898631140638,1.1565113188276943,1.195958260823855,1.0759364413087338,1.1399945535742126,1.0529150277027746,1.1339994135781903,1.1498659467476646,1.5331207618081917,1.2730997131811046,1.367946991965416,1.2080183748938749,1.203455283390173,1.1260064087920225,1.0347208512851478,1.1436990053603826,0.9566104278121285,0.9090669964960004,1.0109612132117078,0.8470749700052079,0.7721201753737056,0.6646107655766954,0.6496516742656503,0.6639538987339978,0.6064058668030298,0.6884074499819708,0.6076551747796666,0.7827345151658099,0.7690344475564387,0.6852748023588164,0.6391337857994475,0.5785205984748643,0.5406348201196687,0.5126287928991652,0.5322733011716902,0.7220629079828588,0.7001359202294121,0.6995113082651684,0.787973971919517,0.7133862534676367,0.8106346079677015,0.7420426724621034,0.9631737595443454,0.734681230720804,0.6981923794607099,0.7770760197880799,0.616138036761268,0.6424219484758611,0.6290371243729873,0.7796046163720461,0.7153528220866063,0.6775375233340407,0.6613359102770469,0.7077710255820804,0.7486993439786213,0.7049970026052512,0.7750453953685408,0.8078653102729931,0.7842084247761374,0.990299356577127,1.056252847162788,1.8342490948617385,2.359512475317874,1.6721460985533207,1.4640214855301699,1.0962969962709825,1.1475151921263291,1.007129510367676,1.0681532499865631,0.794057816146595,0.8273301954522305,0.6912712106483452,0.7812142958602473,0.8522878942930674,0.7186486613623865,0.6799634938037943,0.7567082197286125,0.7989292772829786,0.7855811769806859,0.6515599083603922,0.6669005399404974,0.7472058126671877,0.8189916841619465,0.9160370034364507,1.068537778574487,1.0483325480120818,1.249523520448917,1.0694148128618621,1.1735386003837132,0.9164852087021733,0.927498247115866,0.894388547603667,0.8549595924830462,0.8027616794225334,0.8732841131216094,0.8300694795614711,0.9314905504490145,1.9299584736142952,0.8224001327272539,0.7496572467560553,0.7624122087575086,0.7989479977544237,0.8770864916314101,0.7615108143858753,0.7768953610983417,0.7411551807418203,0.7357233931970142,0.7267540458550609,0.809847850709812,0.8109963682776542,0.9435950848928736,0.8047146094893065,0.7113836880640917,0.7780988389669053,0.7523829711318887,0.7369970996520662,0.7430896932663227,0.8342758411195099,0.7573226132350505,0.8757341342359044,0.9320619537195298,0.9051763222684295,1.1286611137992102,1.2007846463714276,1.1282545668858188,1.3631448612818267,1.1662169553632624,0.9810843797685571,1.0081237384368256,0.9633882997761744,2.0992789284347237,1.1681668539495613,1.7239058750956768,1.01881760162591,1.102822419835113,1.2124048683359112,1.2222217933747999,1.0135712421097667,0.9140061218612241,1.3711067134063526,0.947986214137415,1.1188311594655924,0.9084897963595967,1.2150777446137775,0.9289249544023376,0.8812910199341282,1.247828636798781,0.824537408973925,0.9594471159134003,1.0727654228758103,1.1831555748812965,1.3526742734290886,1.6621661175459743,1.5602515776344352,1.2746206040999308,1.2976998659713601,1.614545189944401,1.372252346977422,1.0797098900402926,1.3247921694084253,1.345033294810551,1.0160920628620003,1.123357458519148,1.2636378420610035,1.0891375035307918,1.0518973206916806,1.1574870981460446,1.031871024181124,1.0610214064885675,1.0317484016560674,1.0196380433725873,1.0275212895527435,0.8615653759446277,0.8668965678101327,0.8883123226932054,0.886239935651901,0.7587480151937571,0.8341121155243439,0.9558411150437996,0.8393355692167165,0.789186746676253,0.8954209916573441,1.2173181489951121,0.9855883125264189,1.0168253742720155,1.1725057501171232,1.3189392530622381,1.6594088694210496,1.230792774351054,0.9897697856954754,0.9386013661009642,1.182978481654668,1.0511307614925331,1.0576965686843713,0.8939577883798384,0.7346359894078048,0.6836293133411467,0.690840689125778,0.6407805376825971,0.7338885921387234,0.7783496688920492,0.8850525837246261,1.4976014696157387,0.7467609569991478,0.8148408234908355,0.8978063302771526,1.0137121568057457,0.74918950407482,1.042687574602927,1.5708426880419581,3.345835044948192,4.928108587233705,5.05407008116587],[0.6437072660176658,0.38782753525599606,0.5010750502873655,0.39021401548776,0.4141661013311598,0.3778457264756651,0.32669612364858946,0.5321112834522498,0.39416571530061106,0.42046193119600694,0.5097509658138726,0.7240580961384713,0.5611699373052141,0.49643466071250614,0.7743252282151264,0.7313426909479989,0.6181352754424132,0.6909578640947552,0.7341281009450018,0.7099143413467615,0.753236246037284,0.791552588903732,0.846906209415395,0.9877886038766968,0.7772189927814275,0.7594621643322708,0.6401833046101219,0.6002545869768374,0.6675920180944891,0.7479278815880452,0.8277046582676822,0.9165862809890036,1.0585603972675506,1.0262737564283735,0.9423852238581417,0.8134582518559165,0.842749108512079,0.7149577082175405,0.6575518179739087,0.6909339029412968,0.7212228149054903,0.7590551409192834,0.7690655556412819,0.7370074539047157,0.8451017779889685,1.6333175757146101,1.4862759049289143,0.8512512318447275,1.8499475014931117,2.226892006940831,1.2643500524128395,1.4331650597747991,0.9392444218294543,0.7861286514123611,1.3393390458812737,0.950454263944025,0.8692147088131543,0.9325906271258366,1.031213828034468,1.059475356146695,0.8743323807852987,0.9967323550368058,0.9214285855578547,1.106974875164546,0.8795319048617302,0.8924739115463035,0.9827682351625877,0.8321261622784996,0.9199600415854663,0.8532154258281799,1.0811185651014164,1.5230586658123675,1.0593344691320814,1.046606966679868,0.854134740001544,1.3897994445955686,0.901174576257259,0.9961659825595338,0.9167948803298149,0.8840764699952816,0.9415484518204195,0.9579675480271864,1.5243183980154231,1.0330013098292508,0.7631470294849141,0.7881289253720997,0.7899931688211239,0.985441676909443,0.8371465836754314,1.05236069798027,0.9327163961947601,1.0521056814106364,0.9667609814576583,1.0003195035529775,0.8923200597749654,0.9634378599537522,0.9046780321988269,0.9656695708553208,0.9657071493689774,1.3861052250896815,1.0669219456096124,1.1455451646434154,0.9876479508449536,0.9823724278055225,0.9074646291615327,0.804637165942976,0.9302710407145108,0.709010745001872,0.669750891208065,0.7961806511891057,0.6034962132496168,0.5393108950490795,0.44731855285342226,0.4757242712535222,0.4711757160487251,0.43210791562843465,0.5162753004592306,0.45033051949654285,0.637684986554784,0.626418225710803,0.5373026804796427,0.4853669516346559,0.44792894426348323,0.3879111275438889,0.3747749921826172,0.36256025880531323,0.5994630106451693,0.4760543318600793,0.46973669011987135,0.5483988923663334,0.4626787953484885,0.5607383465439586,0.48680614189629495,0.729216313405961,0.4906243059566266,0.4780579823460977,0.6334288654995711,0.4245826256369201,0.4353188079826053,0.43605495790822474,0.6509372633145566,0.5838602602771614,0.5075332151800744,0.47339978116951065,0.5168416722157245,0.5674912051538069,0.5026995816333355,0.5833377557718348,0.593095876171132,0.5767263829044421,0.8062670049399974,0.9070610043420793,1.6681707329661646,2.333042810967657,1.6046418710382293,1.2884470503690646,0.904074988299052,0.9441236883135792,0.8113564296770525,0.8481821936735925,0.5728596572908526,0.6413204328119062,0.4758917762025091,0.5757709468355121,0.6261076333763129,0.5110485169297064,0.4732095174298118,0.6041323938182867,0.6412910252940409,0.6320366592241285,0.4535399196124045,0.4464568623362142,0.5087054763816591,0.5788087165681922,0.6958224951034082,0.8513912372388176,0.8539512733096135,1.0702388887459364,0.8588022856285051,0.960749572056997,0.715896929046444,0.6979518274478661,0.6541319217527393,0.5975715535644429,0.5494753139274087,0.6475780589615432,0.6317163046407884,0.8265797238222319,1.8173848149846152,0.671208752349194,0.6053507119250849,0.590607226623984,0.6809289581026592,0.7481505729043079,0.5265240584861683,0.5243142577239869,0.4971954202435094,0.4987744900680632,0.49649848385160666,0.5905902235492851,0.5636743686109734,0.7006796934436735,0.5680535591963354,0.5017146888988647,0.5433676875310386,0.5214396227094991,0.5951434832853245,0.5697783398090069,0.6336343248362254,0.6132891225249149,0.7487506824980406,0.781578221965622,0.7729188683670245,1.030000301033085,1.0713430103885995,0.9977475564848773,1.221812013516628,1.0120550155360541,0.798441427506904,0.8274344264938093,0.7765822654834148,1.9421203440801231,0.9888383422031631,1.671599599894299,0.823750223647741,0.8519225835915422,0.9830625453119864,0.9885673102416405,0.7917236179041016,0.6662896805655171,1.1150859860837572,0.7370264396289181,1.0077900305237668,0.6676577311610813,1.0254502121001028,0.744063755698492,0.7319841036814474,1.1141472993483175,0.5942974209162747,0.7230807298538547,0.8364391077949185,0.9569232561307027,1.1033983292381482,1.4020140845785134,1.2907236368136261,1.0118934456375281,1.0399453692066825,1.3281518393519278,1.1263127279252165,0.8361460888436792,1.1036630271542287,1.1336848548155407,0.8001362616699791,0.9134687847996859,1.086452844749607,0.9650763259654128,0.8811623473292287,0.9747532217031566,0.8421976650528096,0.8447322396679005,0.7977268805845714,0.779279807095927,0.8096177513441716,0.6411250820944285,0.6485421796482715,0.649779722730636,0.6671065421793414,0.5417272762909526,0.5929899046982482,0.7766392643709185,0.6792647963568942,0.6258968712785341,0.7121534837173881,1.1457031672155888,0.8768732508668581,0.894860965619525,1.067773925191378,1.2157270131855311,1.5156405987443542,1.1272270334682961,0.8618605488751447,0.8203633233602091,1.0907257758567408,0.9587873807361172,0.9690469966938985,0.8325322767137671,0.6369457526543405,0.5190313353636749,0.4823033736979789,0.4469737940255282,0.5394955596719716,0.5123623050774329,0.684751645930984,1.3060554909333142,0.4813247199345138,0.6333100685086642,0.8176095812770562,0.7684644872446734,0.6157087335216582,0.9287626821488888,1.8094329007912264,3.712205565448837,5.132596943571901,5.24443478721596],[0.7624594057241346,0.5179462374733964,0.616503936006294,0.51280563174128,0.5123975386880361,0.4727659579820746,0.45512123243289776,0.6273191192648406,0.4990469338053263,0.521374671361049,0.617799850896453,0.8263993061567697,0.7059454127408834,0.584847980740162,0.8917771578449647,0.8681515907911502,0.7265120792471259,0.8075816140499731,0.7926357357135037,0.8405701042082929,0.855354104379032,0.9212311635739563,0.9185801021961916,1.0406060554015373,0.8393956762022389,0.8021039430887708,0.7500946796059416,0.7320151311875317,0.8080991870269245,0.8884041444552739,0.9670703786378518,1.046209541187895,1.1707533769792402,1.1496974155582882,1.094565788743459,0.9554811790310608,0.9870073743919724,0.8736416725233155,0.8246496406664138,0.8847301708737185,0.8490882452881473,0.8844581964988883,0.9183474112055139,0.8689574450670833,0.9095393934080224,1.647963691566341,1.4687402447167044,1.0265690579135947,1.9155447246320727,2.2899515607569,1.325160430214229,1.639389949338824,1.086201055519023,0.9580776350554944,1.533747853999586,1.1532005167053314,1.0443476354517758,1.1195814599751277,1.2062611719416685,1.1581452087818498,1.029897050351174,1.1537586656221503,1.075426975411389,1.198943875110074,1.0021766775522114,1.0268491576895769,1.0625524015210877,0.9449936852194791,0.9459105687197501,0.9241500365355599,1.1330213732204613,1.5765021366021288,1.1454873802822876,1.0966817441878942,0.9620457695462435,1.4051754315044593,1.029192888777155,1.1212843061192392,1.063338168836518,1.0498067775298734,1.1188262034367324,1.1399710867075135,1.6432778228259393,1.264125755245688,0.950962858694693,0.968784141712773,0.9645993685771538,1.1409639127730737,0.9812364868905952,1.1590354742612208,1.0614990483813809,1.1647286050278902,1.0793287496682287,1.107491839751903,1.0093423432407345,1.0368331389041556,1.0574090056017185,1.0879515346912816,1.0897448093505586,1.4474436934263597,1.195507961728124,1.2657707444191704,1.1396417897736273,1.1142365159949974,1.051846702569875,0.946875180839923,1.042207288788494,0.8646148779688322,0.8078209707524248,0.9212758262967184,0.7472772617572445,0.705047972477806,0.586013267066581,0.6404221793956755,0.6253355072614175,0.5611590087174607,0.6581100588066325,0.5337567419597843,0.647832171853914,0.7058161887625936,0.5907944210935193,0.5667163855137333,0.5003425850349275,0.4799636633664195,0.48968564502468054,0.49802703098818296,0.7022955897812251,0.6334221681517958,0.6460034897815694,0.7283655988822891,0.6322564028158507,0.7377403083957592,0.6916681043688064,0.9082784269606795,0.6701326270584447,0.6438771582902489,0.7548421006290421,0.58814692805426,0.6069830684089406,0.5859904205373403,0.7116648491601669,0.6426242930541926,0.6205468192190209,0.6133086055156479,0.6876974179617341,0.7399292201269464,0.679376266604469,0.7566261532072871,0.7527186182112842,0.7156751150732666,0.9086401009678561,0.960552761462533,1.7091687500411956,2.2897647754268684,1.5827863930058312,1.3611594474863247,1.00725977123458,1.0527540008860705,0.9587901989658445,0.9908118701163273,0.7607022289659726,0.819491411231785,0.6503395575314904,0.7720193909968027,0.8240501253136626,0.6287908071619341,0.6408086395348349,0.6895427803776337,0.7301256081080428,0.7117429998296811,0.6069777776467384,0.6195788106076172,0.6994255142744068,0.7698954651089124,0.8815915975033433,1.0180181463561664,1.0085703780075483,1.2216918892872437,1.0432827676612444,1.1406214034136801,0.8890796956223129,0.8811379126704475,0.8544755985202844,0.8102116349044799,0.7410039412103903,0.8334522304421516,0.8152707096179147,0.9002698257908782,1.9366125030179087,0.7663972888236816,0.7111151340083673,0.7417962483171662,0.785423390283554,0.8510345991236379,0.7155927270973447,0.7208499615347485,0.6527836157277457,0.6692659093839352,0.6389662955186445,0.7148825379175855,0.6982103007075431,0.810670440173886,0.6930586823154637,0.6164257638049113,0.6433045752230052,0.6224250620599797,0.6816153254312618,0.6587007217415696,0.7122220667487975,0.7186349348780826,0.8417967826307157,0.8890914213541077,0.9132161842764156,1.1697884219039039,1.183476358055708,1.0767005271787309,1.3198520432395056,1.0634310600447854,0.8557747938674495,0.910904781752782,0.8539553257878968,2.085702686749621,1.0208576641001248,1.6939568836988583,0.9049892730301816,0.9134003033631756,1.0347530095521518,1.0753217554523653,0.8645960053588884,0.8007871155459234,1.2285022579261056,0.8607297656445446,1.0764341081095479,0.7987126406625888,1.143680361469437,0.8061100520015129,0.8106353020125747,1.1772888097813634,0.7268844537822648,0.8763236255053226,0.9704992895053415,1.0617754525421812,1.1973358585112506,1.4671029404738347,1.3519743139012028,1.0934308012791387,1.0946224367750654,1.3385123284432705,1.1825306929580297,0.8882803676125314,1.1219134661426162,1.1247382429994468,0.8387014769827338,0.956972849918484,1.1258408324344829,1.0281095681667478,0.9587221308796147,1.0395338193719164,0.907499097714467,0.8996849140431147,0.8553989728643667,0.8442004631011254,0.8786361048854171,0.7203364674395148,0.7413705823324562,0.7346268125045569,0.7439361154565619,0.642388777075137,0.688158564958332,0.7908809425575222,0.7213801718498569,0.6913286896217656,0.7392143218978696,1.0728034717813266,0.8477673748441069,0.8778541249060281,1.0404611100386774,1.171283393585779,1.4588444110397938,1.116178076537115,0.8988534334333488,0.888618779270186,1.103779431520781,0.9595885101913816,0.9353396209172293,0.834413857703625,0.6850158662210493,0.603651643047123,0.6049997293106586,0.5751496278812246,0.6410538739872816,0.6493447022643153,0.808895614386986,1.3811035083109122,0.6218965256603808,0.7508711682814283,0.9530202105859389,0.8418698032032285,0.6920651283712395,1.0666718810594995,2.094616208689594,3.845354841509288,5.328189167811411,5.850411147321578],[0.7443489256813932,0.517234705825385,0.6545597810534426,0.5191373267100108,0.534073270972569,0.5222717546546923,0.4929759118549453,0.6726593414141341,0.516112542330688,0.510245605528608,0.569063623666971,0.7829181733428717,0.6592681452888774,0.555857335713511,0.8415717429362835,0.8076948467955397,0.7008200706557187,0.7758762861676273,0.7924336610905126,0.7966346253887436,0.8200166019838224,0.8616556277792567,0.9111413532369065,1.026395409778747,0.8265011590409937,0.7948315405760673,0.7240803110286563,0.6999650682723041,0.7665536356882476,0.8421407110096454,0.8946162841913847,0.9678514260679638,1.0694083405056083,1.0437415863849393,0.992612800125361,0.8895792337517334,0.9229367811645117,0.8191841286499864,0.7847651246851949,0.830469061054081,0.8354125701004278,0.8658056165031631,0.8707021696536472,0.8487680189237587,0.8997062106389918,1.6758192180148017,1.4670682687753556,0.9986150208213126,1.9508383996743182,2.2790229411248544,1.3271308027184483,1.59009216562554,1.0359574781749123,0.9114480501700388,1.4263900521001127,1.064032033345298,0.9785459442376246,1.0287230037698407,1.1139746291828898,1.1040706254873252,0.9540040738250601,1.0864241417056983,0.9888106945046451,1.163569872526953,0.9481728046771876,0.9662442595886785,1.0434093730907825,0.9080688494727125,0.9511219726500727,0.9126333846524661,1.1496344125446103,1.6031878456817115,1.1524502736782651,1.095486501699173,0.9115685641475039,1.3933274651325984,0.9481819387384992,1.0331601793263323,0.9651319335940804,0.950817778288173,1.026179201564275,1.0653830047126218,1.6162924969641994,1.1539222396097986,0.8830430369603844,0.8944039749139744,0.8898571434558195,1.0511445130146502,0.9020418203645222,1.0759877286533128,0.9714262830988805,1.0785445782613012,0.9891088516553626,1.0087228047460985,0.9307126658196553,0.9757733409971137,0.9764150826592933,0.9869363286498003,1.004876422826687,1.3923166869785089,1.093674794979743,1.1602620518448157,1.0452195409603855,1.0412510595583608,0.9933392447649083,0.9069005204107202,1.0246852970539277,0.8205987772271024,0.7713899256882596,0.9125815675722508,0.7183229609304667,0.6879759163283363,0.582811150450225,0.6196038813410915,0.5883798206279314,0.5484382254459932,0.6153997785573492,0.5271987560900554,0.6632932438525678,0.6899376845349677,0.5875969102049465,0.558352715546351,0.4990474494867453,0.4858980361463699,0.4961463937853293,0.5134475701940211,0.7408516345162428,0.6355669966300393,0.6453203967951504,0.7179083621890671,0.6551939005550628,0.7562682823590984,0.6772522306384492,0.8847039177483595,0.6674061943028767,0.6457226494929821,0.7315084629003049,0.5753638531089721,0.5993231699524716,0.5659219722985719,0.6917148891879894,0.6324037515411678,0.6016587301663674,0.6030882604105493,0.6686451222916933,0.7145606313859273,0.6449646016310235,0.7070942165260873,0.7113257585933395,0.6809171325325181,0.8893964224521848,0.9711875875933929,1.6207197060802487,2.339019035674694,1.6418648837104397,1.3098120681860086,0.9598307221567965,1.009603916603748,0.8897045424914626,0.9515138552764737,0.7107302651468539,0.776028767118537,0.6249897586516787,0.7222666399428654,0.7813265699705416,0.6455307007529387,0.6197660061806171,0.6673603932455047,0.7129676296743215,0.6881989917631173,0.6048754789792786,0.6057847896706288,0.6685162716413309,0.7253293597299387,0.8349422160713416,0.9579479515237103,0.9484925431380015,1.1424138564307926,0.9727430887111923,1.0572089116307335,0.8538373666190135,0.8301076496095415,0.8045914184198795,0.7672093190585406,0.7069543088411028,0.8128429750546002,0.7849501876811988,0.8908194791176819,1.828989632731854,0.7345804559661436,0.6767790233234517,0.6926931616299747,0.7758274285717032,0.8435772253277871,0.704831611809388,0.7345148572910011,0.6883821862883842,0.7063409348862049,0.6827774863191441,0.7417806337653987,0.7056171187375053,0.7871153210743416,0.693142218502186,0.6627718927456355,0.6700035212200149,0.6606868154773277,0.7389780643039652,0.7064727723708194,0.7582505697578105,0.7822007092737259,0.8746217658738502,0.922722310372697,0.962320754602864,1.1557050817239218,1.1485796977935463,1.0511651989831934,1.294190965680125,1.0183923927510519,0.8609884254396578,0.909279309282384,0.8421045676179413,2.063352983054708,0.9980273486587632,1.7237908485932332,0.9200089180061308,0.925418358731189,1.0402309360914337,1.0687377356860668,0.8797417236554971,0.7645117608736796,1.1725851331465025,0.8462401010823699,1.0199168046542144,0.7744115193395228,1.20910379058538,0.7962461691623273,0.8475133462493728,1.2679318308105476,0.7596072389950514,0.8422296211470683,0.9241228679154975,1.0308462261047524,1.1440099476440895,1.3849495042395126,1.2866131876121538,1.0562496357035331,1.0725329860422332,1.3074214799645443,1.1017160416882914,0.8667701419078979,1.1024471169664,1.1111669754038396,0.8526817162303268,0.9616754070950879,1.127563127628491,1.1192587859920384,0.9846631057024358,1.0396690666184039,0.9157809919722739,0.8962682685535902,0.8313074126497411,0.8263388821470337,0.8849265798321032,0.7520263249175522,0.7361320734150724,0.7506554857256661,0.7569341250765331,0.6754349329894925,0.7209024403391164,0.7981569969175166,0.7200030576135391,0.7103272914676134,0.7722576672665595,1.0699865286527686,0.8682028989385604,0.8838520846534947,1.0609828749153134,1.1406349211698301,1.37152936937059,1.0646354462822372,0.8929899776024647,0.8898345233202206,1.0789965184316266,0.9463906927334891,0.9198774560152139,0.8615119625148007,0.7167375963049197,0.647554462943781,0.6573693491067863,0.6147733999715096,0.6681053079143714,0.6524493685254997,0.8616664022934432,1.3582811822581893,0.629175994102245,0.8216320856277834,1.1237581699132433,0.8099434682394928,0.7693084698274388,1.1582386935235758,2.4295088001256255,4.12073600583044,5.384027252111085,6.045251415200142],[0.90883712777309,0.7142457496011123,0.7661731039240172,0.66249447111196,0.7218865468103443,0.6863002384120738,0.6642727321781634,0.7518971915708218,0.714809165731606,0.7719215557317091,0.8423479820634695,1.0009533080863757,0.9253717271713628,0.8651771215248564,1.1391334281021024,1.122251694458744,1.0054966317263172,1.0728021662231466,1.069095457562876,1.111450093222869,1.1100863530610827,1.185373937631814,1.185193153489178,1.2678548268696308,1.1077089776493763,1.059226902084508,1.0334375223613976,1.0244357861661875,1.0820175178629317,1.1393950165316749,1.205461105118125,1.244580885611088,1.331448947479733,1.325964941462609,1.2887138476864257,1.1947813246790961,1.1990690150019687,1.136347661154466,1.100999811293253,1.1306233343903407,1.121401755801639,1.161244794465468,1.1753532129052866,1.1429017884704682,1.1556759568063213,1.770766774915374,1.597236575576124,1.276736822293831,2.0832335897424943,2.4086230310974694,1.489003373219515,1.8625246577727559,1.271606988838148,1.21685491218004,1.7244432362804525,1.3968937271910333,1.3169378951966728,1.3493219154252791,1.4075545315832054,1.3313892478529619,1.2322616938600002,1.3687270623380445,1.2979779261753477,1.4538941435558772,1.2482298349500045,1.2671214122126495,1.2842610038882722,1.1959843798138303,1.1649929487467285,1.1502940282508007,1.3115671300504177,1.7359834312133464,1.348139764282747,1.2799693026158707,1.1985358921954137,1.6030237923268482,1.2610500956333506,1.3276604987799312,1.2761173208264154,1.2793470797308368,1.3350349566237976,1.3452548229917338,1.7702733033200855,1.4111660467971074,1.1566066664373815,1.1694370993503045,1.1905912544078783,1.3410284185188412,1.2154210566875894,1.349209125092877,1.2706703376656232,1.3475747637931152,1.2618557519117453,1.2855172239747903,1.2214548237364282,1.2269957461256553,1.2682606453252008,1.272244451852855,1.2585222807871719,1.5357566286150046,1.3226205908214155,1.3304871379248724,1.2625918302463512,1.2021255650972895,1.1822203718021966,1.0524298121943199,1.12861826780913,0.9498546185536526,0.894004731519964,1.006767134392034,0.851203512925449,0.8656841181171321,0.7725064983356554,0.8643515263243265,0.9003795384625346,0.8650168945210943,0.9359901529460336,0.8379596836453941,0.9425890786791138,0.9927936855968774,0.8828339945737674,0.8672413937025427,0.7820552345493479,0.7503667649340252,0.7304237266061379,0.750862872234292,0.8734979196633902,0.8442674550886784,0.8112522976794287,0.8969866455730319,0.8176417180200061,0.9004436448436128,0.8900188442310515,1.0791907841872603,0.8957201921355394,0.87001704772543,0.9258558650381538,0.8104153997074933,0.8576442433251116,0.8705480952397949,0.9265657004364564,0.9155471275276702,0.9278835654742967,0.9239348699420559,0.9847922307520597,1.0201245343935708,0.9582069473952645,0.985232670220327,0.9316836187007065,0.8800472781532338,0.9902762323638489,1.0187299979447688,1.6452141996779044,2.2427224959270524,1.6236762117313368,1.4177022391369638,1.140623302641149,1.1454717143410307,1.1170041802275592,1.1266745618238025,0.9557062414532385,1.0504151795787842,0.9353615595638554,1.0289417891583792,1.085707267468543,0.9117824382764359,0.8997612287187733,0.9493959326631025,0.964419926816645,0.9570747364355168,0.8669792908586094,0.8765308443909574,0.9465030726042982,0.9986267684693563,1.0854371084386134,1.1769557479400263,1.183208997343637,1.3496187815731535,1.2163516224614015,1.3141318849238424,1.0818819566293274,1.0401235364859491,1.0231541403313744,1.0012382975686325,0.9596273051236537,1.0521825716572388,1.0719732204496841,1.131187482561038,2.011990783134149,0.9895548057531264,0.9535829784361659,0.9610016984838413,0.9686318137689698,1.0334818384860134,0.9131576051706941,0.8961782050933851,0.8240734330341309,0.8280421899140041,0.7773020011471363,0.826201700022614,0.7866233145633305,0.8557079422310261,0.772189618404176,0.7483518672362935,0.7529532558321215,0.7488690175655629,0.8263692058892699,0.809718679366348,0.8640866482211265,0.916724235236422,1.0240270136920864,1.102262799148679,1.1604588329225591,1.3327952343977578,1.3578731950632406,1.227846978051791,1.4543869908124976,1.152561664029642,0.9997309178775442,1.0634556671936335,0.9827674392463519,2.136805968937374,1.0787501776684503,1.7853512639905464,0.9757911031238103,0.9783110628467878,1.072309574542341,1.1157528040441385,0.9251849856571289,0.8569379827818144,1.2233619921788303,0.9428326599789485,1.0940784592570558,0.8790357962012885,1.289131338772903,0.8826099699861358,0.9439584705185923,1.3482971044552987,0.8518898345419202,0.9373679989033726,1.0258867154767561,1.1004038086871324,1.2165988916398272,1.4182619397949077,1.316130574492595,1.1167531097168417,1.0935433566964203,1.2972509267926742,1.1258760108739805,0.9057871019860486,1.1105399320847504,1.1105176279326554,0.9149841339369915,1.0489853224015873,1.2458963101522502,1.286955568671838,1.1475791706142746,1.1808226495195073,1.053839979117193,0.9983193876650752,0.909407098459331,0.9064636213206505,0.9807773569918299,0.8602441772230913,0.8497047153001821,0.8599310808168132,0.8825869050584473,0.7815300075498872,0.832150056993022,0.880243201081483,0.8522341114000483,0.834711787983198,0.8699334537478465,1.1482118942636248,0.9779707115762305,0.9893182302235953,1.1275126972412672,1.2356099274221113,1.494807562090848,1.179237013988427,1.0104924655093925,1.0347358446655632,1.192886441577024,1.0367272200516215,0.9881475531701628,0.923820974133503,0.8123432557441995,0.7531368459396364,0.7479495014340435,0.7451256639823136,0.7537846853713075,0.7528958558479892,0.9592913952474096,1.3568815010595654,0.7323595471385687,0.9286899910125197,1.2068329500086976,0.8363152599244156,0.8644417799498458,1.2973335894410736,2.5649360475133056,4.020388498669774,5.315532802361528,6.228608939884129],[1.11674460858374,0.959337394609017,0.9991932441420942,0.843828545614223,0.9044996519556555,0.8600099778849098,0.8637313927594674,0.9335288777143904,0.9074602663626434,1.016282843575655,1.1119996831083825,1.1848860790244822,1.1931232304947714,1.191623401312316,1.4606357394939595,1.4256628614521423,1.330978999345224,1.4538272401481946,1.4579844737694279,1.4882932203291475,1.5151066758994178,1.5974621845283088,1.5539109508405409,1.6120468792974108,1.4528906921773026,1.407063509299038,1.381363956208916,1.356843892066356,1.4164041343621874,1.4429482467195947,1.591245505797827,1.5313743420055812,1.6660628456989157,1.6904621275858829,1.6159366655910201,1.5521536708783397,1.497106828724177,1.4634897837029965,1.419549394996473,1.4458674042689283,1.4471536671649157,1.5049866422568279,1.5219097231671268,1.4960180160092378,1.489109098452687,1.9570026551646655,1.7730140067974078,1.636086884996829,2.2553806520530904,2.444060672920407,1.6721288066231446,2.104147124426924,1.62452283944683,1.536807902470249,1.9512150161509954,1.7160042045320312,1.6429598536358172,1.6836515813635435,1.7190726323064107,1.6580687056107573,1.6222175018870022,1.7597392854491443,1.6975307201556105,1.879965576732927,1.665778195811032,1.6318087524172087,1.612783793450908,1.5999340148776526,1.5806066120628457,1.5655131567500158,1.7428142488503684,2.1890738282241426,1.7657398471533308,1.7341122078444797,1.6417077176147175,1.9642300801451171,1.6616396627498975,1.7234970879458456,1.6631404342795444,1.6606397968831632,1.6677008685058003,1.6459030799461873,1.9879056531098205,1.7053177038143412,1.4466120568047145,1.4634051619762551,1.5189830471886632,1.6586076747927057,1.58686314818928,1.6828941391312373,1.6686878831245877,1.7724135241879586,1.6678206424316198,1.6870158606288879,1.6083916546546992,1.6647201113996606,1.6584112380323621,1.5700332678989644,1.4611430250831425,1.6848369512562,1.5161089222976998,1.4829745080034902,1.4593544623753194,1.3699541898476697,1.3807113692001762,1.215199857075808,1.296791840642538,1.1561917526082002,1.0957886863088184,1.177086620328519,1.0383613002246437,1.0517759792660675,0.9596086300001934,1.0561502371558513,1.1339982319757933,1.1381060587812664,1.2572669329288488,1.2000607300063797,1.3650821566540627,1.3953972979871005,1.2559449229245183,1.2112206104651317,1.1084774890497904,1.0320746461213817,0.9625324976465001,0.9625123226561415,1.0294692935733705,0.9988692154896033,1.0172201972158275,1.0938588146797663,1.0264937822399947,1.1199119613218333,1.0992334883363004,1.2759816730651532,1.0881139359573329,1.0765462512992385,1.0676489763275743,1.0391293943658004,1.114226086761621,1.1473508308336071,1.2196486599481877,1.2739009369468144,1.2997293486078294,1.2495070596863789,1.3110609384489917,1.3330595374420016,1.243211413471099,1.2347581621781203,1.1355012027956433,1.0436028897882788,1.1352347883011973,1.1087011381860672,1.7066413388410522,2.2097790302663953,1.5764114943729661,1.5058152252648818,1.27446994738906,1.2893912875312017,1.3004782897085745,1.3071300143662905,1.1833371527512004,1.3262173571889977,1.2155626150816559,1.3066770747111585,1.3199512580606982,1.1851116520415321,1.142504563516621,1.1347348482674542,1.145586994896609,1.1384588813083936,1.1003912513495515,1.12281672745831,1.1935931213860762,1.2380128586238988,1.3426051451797119,1.4028352392607712,1.4241742456330668,1.586319298746385,1.4741008039017751,1.5408227952410596,1.3223323094573172,1.251447210728693,1.2526189416269984,1.2386182238482706,1.1850869597913996,1.3490760174323029,1.3796725028865418,1.3461238709685137,2.1108039825910003,1.281413778258445,1.246163133086025,1.2292060522944432,1.20378501662658,1.2209629022534,1.1338235914403132,1.1052526951117343,1.0325264114999684,1.0452261938722642,1.0121319493888121,1.044506812882831,1.0582540608537312,1.1051815327104293,1.0170102561584708,1.019348176928939,1.0545240407064034,1.0453987352617848,1.0671293953351622,1.0880961980295312,1.2036797956809535,1.1903833800531372,1.2784824219411124,1.4024379837905911,1.4611229725902348,1.5489609756359741,1.600240146008954,1.4326853092164222,1.6941757700556026,1.368018588019974,1.2606226619354928,1.3610636946061179,1.308182841292284,2.4129598928081384,1.3814765429782838,1.9528717601446284,1.3018509945643977,1.329851078706645,1.3412729805955843,1.36008789790546,1.2333923058640632,1.1276657867963824,1.4214060886211102,1.195882323565366,1.284859098506957,1.1186684097379647,1.4976656522472829,1.1010059758605641,1.1624733032276406,1.5211942227453128,1.1274218651031116,1.208019156728061,1.247176919824337,1.3059439967642201,1.4140662187090092,1.6101150521097296,1.5116318141241576,1.3251443074267406,1.3629279752110286,1.523368092184186,1.352729798138346,1.219308045709205,1.430958158114572,1.424358041755887,1.2545260672100393,1.4239283493447916,1.6413909286609174,1.64717974759241,1.5127699184892203,1.5734697999662992,1.4272446327801442,1.3819751232046373,1.2455867510799075,1.2562142893386898,1.3353244437593217,1.188411646091269,1.1566910024173167,1.1763112164452012,1.1835411663981266,1.0709811737528185,1.1212964479291396,1.1354684707617655,1.1064026817654768,1.0844919912198931,1.1459756519421163,1.3051094151183593,1.1952891635166412,1.1747907793845185,1.2804094425018435,1.4029973141398373,1.6168621766317566,1.3330348132477339,1.2041589266493626,1.2218771742166399,1.3262422235376994,1.1920185399424985,1.1416858058480794,1.0975860616001436,1.0033460819976756,0.9496611445026922,0.9637385201262735,0.9400278775864894,0.963168027836029,1.0168830018486374,1.248675595765571,1.5048744513862562,0.9744268477640353,1.1873787075366404,1.4524780003345974,1.035381598958411,1.0667257758373137,1.5354521547471187,2.6642260793890165,3.8756803396322006,5.241776299042508,6.429239774995565],[0.759757202668312,0.5444194510253346,0.6523992383686401,0.5394710600293356,0.5879859615030915,0.5856469150620868,0.5750312969263088,0.6813914267800775,0.6131996331151018,0.6654246030638635,0.7038352660962542,0.8103131872856061,0.7604031315295848,0.7341394364845537,0.9601979705888155,0.9191692755520952,0.8566913030298752,0.9406099573571023,0.9861851558184829,0.9592205578135454,0.9928808401531636,1.0300276046151626,1.088779582395058,1.2000498502780013,0.9710439421613476,0.9602971097307633,0.8920047886769581,0.8611470008473724,0.9152817913994845,0.9578015314626436,1.0431382895860124,1.0638378470541134,1.2062599856718836,1.1971131839205398,1.1197365332975355,1.0303527679645466,1.0388908916311768,0.9635634535810443,0.9290111169314563,0.9586394849429465,0.9945231574789751,1.0063628612810689,1.0305718215538875,1.000784966255049,1.0375293522055642,1.7780853976411857,1.5298829265565217,1.1399923775660246,2.048743125574341,2.2917292292946936,1.3948287341350767,1.6920607540949735,1.1827925668185804,1.070074818446711,1.5241870843281973,1.2059281979450514,1.1284107055567099,1.1649294293340748,1.2117629686079046,1.176326986504577,1.0952781358781047,1.2199097142643764,1.1493674910559843,1.3422790663763047,1.116275190521774,1.1112622733358815,1.1542190980863445,1.0545855022646766,1.1177092201417143,1.0636074975841274,1.325963908542142,1.8409842499168239,1.3115610540277232,1.2778830047292882,1.088514593179568,1.555517567260339,1.110145429611085,1.1923755046901814,1.1283952401161383,1.1108153531912546,1.173457160141144,1.1972493219871998,1.681195754180208,1.2912613155979142,0.9926859162785338,1.0050403416702027,1.0332057956027572,1.1812887634558091,1.045729463967838,1.2185124303728125,1.1307180027097992,1.2173414036282915,1.1350062083134622,1.1589177896322835,1.0639792329473627,1.1237638488588055,1.1109232084446514,1.0817622209266342,1.0399503742397753,1.4059862592294823,1.1375063961206855,1.1761314684343807,1.0993219654014807,1.0589113648389952,1.0478915961504562,0.9190724804535693,1.0303531789773006,0.8270638380705813,0.759940797993061,0.8989087940266852,0.7126390958278275,0.7193654256510086,0.6393249067611954,0.6973946474122813,0.7200287082461513,0.7364540494671995,0.772275316797221,0.7413424991036972,0.8885304140066774,0.8946110476154183,0.8053686901938079,0.7568729413373366,0.7289733541527106,0.6800916861748321,0.6429558707920618,0.6343536628408829,0.7633002538675326,0.6826330043345105,0.6766430027753307,0.7520973790736885,0.690914727599709,0.7902168498245257,0.7382145613700287,0.935976999909007,0.7306545923592018,0.7198864594412644,0.76144079928185,0.6679191985489965,0.7303904776831687,0.7169584270162608,0.8332131691797084,0.8514332367262822,0.8224302376704892,0.7857589740117376,0.8424584083425835,0.8742811885352894,0.7937708710672312,0.8020844363158501,0.7697617387567115,0.7118582035708313,0.8658556518431241,0.905788192566264,1.5480905974832082,2.217390997119033,1.5188858805440482,1.2810690039170518,0.9433882790897742,0.9944358080313312,0.92365823537455,0.9615760969803379,0.7830943781672103,0.8903485775876794,0.7672585784449296,0.8476930700629967,0.8916499132038327,0.7845721254124577,0.7351364558867459,0.7789965259385214,0.8030761102771347,0.7844896023407523,0.7050586757308932,0.7116088113732258,0.7772979291662481,0.8230817621510959,0.9246946059321665,1.0243421161235742,1.0170078558991111,1.2375529335844315,1.0698187369764336,1.1501356920839618,0.9329413686414022,0.8884997410586379,0.8793473406738166,0.8502054746843509,0.7925089158663227,0.9145415319922441,0.9134932843172687,0.9929889744666269,1.8309034855009774,0.8607684305160368,0.8158344704184245,0.7960802832569638,0.8410169945046988,0.9025622543082478,0.7662880316192765,0.7935516143199055,0.7346978145735145,0.7226441491841771,0.6783629887487567,0.7341667900357377,0.7040889940752382,0.783447747782807,0.6737753027330972,0.6471356662586821,0.6701744104928601,0.6591173562177967,0.7240666930390133,0.7010877243680306,0.7790360306484773,0.7928127685440137,0.8956932082663948,0.9705931494054607,1.0163695036220004,1.204492255938393,1.2098945670600019,1.0969646101304438,1.348935609110719,1.049717339447948,0.8861671416385141,0.9523034529480809,0.8868139169995631,2.1109203030853543,1.0236247465680437,1.7449386928013257,0.938566032585909,0.9830006217810432,1.0854629157185995,1.1488721223411065,0.9213185059825812,0.8161063297646556,1.2344163691259085,0.9138946297155689,1.0360419423082272,0.8061596743302969,1.2523619470654352,0.7794187076431662,0.8430496945616218,1.258983758663283,0.7574085955037653,0.868544385001058,0.9914139316501065,1.0827297330293009,1.198730904984197,1.44069883308204,1.3380184059616262,1.106766544473228,1.1184781007672382,1.3438228350569505,1.1288219861254027,0.8933465996572131,1.135322153680492,1.1249304307189745,0.8661842333654068,1.0281392449036233,1.2331741475046547,1.185152076601705,1.0571938274183943,1.1310406929889527,0.9895620833146778,0.9738425149005157,0.8853984097699253,0.8909208713098787,0.9416783237114267,0.7849623201517701,0.7777647554677211,0.7809120735595618,0.7842168137670061,0.6868510533759318,0.739200820438052,0.7963633731071263,0.7348027987049963,0.7117875763059437,0.7742251200523125,1.0602907379436548,0.8786421716911694,0.8981406170277856,1.0694537592777493,1.1773335183648554,1.4148966334177362,1.0976381471132743,0.9089726115281069,0.9232315948403327,1.1224110049346356,0.9631129143322051,0.9289429063673629,0.871756454975648,0.7098573765747257,0.6448113533139647,0.6462267915319432,0.6384096360448429,0.6478611007974399,0.6445121122351648,0.9101001510068342,1.3257573010778938,0.6201834052828621,0.8446437538137932,1.1479116322493441,0.7434836222856477,0.76781473598213,1.1801049514151702,2.4034659936757405,3.961215604366649,5.344444039290351,6.186476637190516],[0.8162825716447493,0.6415237544989004,0.738675491395125,0.6068228097623058,0.6665176007869962,0.6369370706303993,0.6354280599357899,0.819290569075606,0.6704938808098567,0.6803783761473573,0.7420297684331223,0.9499811896159621,0.8436873236070389,0.7244544915122526,1.0212733633788806,1.0211398692098892,0.9089576909600858,0.9721813193812491,0.9767350416793664,0.9932432484957358,1.0142210834579135,1.0813156976210623,1.0994303126690825,1.2051654382835784,0.9968917669987996,0.959846744987483,0.9200905560512378,0.87178662675491,0.9715406103036993,1.0675820714375048,1.1451558966248079,1.2331076401280578,1.3776969321485752,1.3692997915375118,1.2777748841918495,1.1546960736795062,1.1963003390105371,1.0661321678389755,1.0229776598258402,1.0851137681041574,1.051002704687654,1.0466097685148845,1.0971308961322164,1.0431584769085747,1.0723064539601666,1.7482786332835256,1.5588394778316979,1.187343749062462,2.028829099700657,2.3156976730389367,1.4266513672069647,1.7599371211860282,1.2631298385474863,1.1595087692364614,1.6308715767927628,1.3229778305246376,1.2350651364628624,1.2855917528916527,1.3385888881679928,1.286833190140081,1.182566966636415,1.3222385601228726,1.2719510084828878,1.3753485288703524,1.1749959724297228,1.192874848683099,1.161761215771488,1.0865816184456085,1.0825299709856664,1.0326936922285885,1.247334043081657,1.7849717677304533,1.2927543844342337,1.2759035395235658,1.1415182993552386,1.6733900175787848,1.2228971048173054,1.344447667402389,1.291241554676595,1.2579465764787825,1.3496746267010147,1.325936617157645,1.7705199017285225,1.4208477441673255,1.1502248777968407,1.1621123624688905,1.1564152909722445,1.3308542722919035,1.1767549327928573,1.3928636934431764,1.2613585537439809,1.3589061687789754,1.2623562248341083,1.30742245619734,1.1816002110017676,1.2298566306423124,1.1705700141800992,1.2506099687020977,1.2434716376174693,1.588544442649449,1.3650510224184282,1.4378665572335547,1.3334776662109415,1.3006226602988076,1.2856788866824553,1.1498735188594356,1.2421734139610996,1.078652564926827,1.001652901354533,1.0916553887908218,0.9224687127518937,0.8762924934900267,0.7640636386205625,0.787842345377536,0.7469603421299895,0.6771998629199165,0.7356439922440675,0.6668096843689612,0.7956675430268532,0.8445016825060885,0.7110420805773849,0.6740429496320733,0.6226787750097897,0.6016577798262677,0.6366363112083623,0.6577946358496048,0.8554969020694627,0.7897133704809997,0.8191640305175636,0.9153377946477717,0.8146846509300695,0.9501522406304961,0.8801299561138182,1.0807931021975612,0.8145329512944259,0.7713826628690895,0.8561900422625855,0.7170294178817794,0.7404997874744933,0.7340500979269629,0.8194833846810805,0.7905024763708516,0.7626959843586344,0.780312899386792,0.8638837102398647,0.9212550068857741,0.8338182360397489,0.9100590972862069,0.9166972805575356,0.8655758064477922,1.0623463606849985,1.0969949509255141,1.7591786160404304,2.2740880152120235,1.6327961505792736,1.4841273672510484,1.152977481074544,1.2237839382247178,1.1253757044370738,1.1575959329165,0.9209104813208728,1.0072355598656069,0.825478875856922,0.9609349464787909,0.9622677866192421,0.8162427834890646,0.77691548713456,0.8157393528014347,0.8364485319577606,0.8299107533167089,0.7382063370653623,0.7570087688483076,0.8592068803049551,0.962798466279546,1.0827815683509556,1.2182691963784844,1.1823106864090078,1.3979452618043602,1.2325838564481986,1.3294804557235733,1.0782057089549604,1.0814959782353744,1.0668769320675677,1.020752099478473,0.9361461541936144,1.0560258508980855,1.0207897071278784,1.0774489171012493,1.9386811994820015,0.9393208123553559,0.8935332148097189,0.9021525057679651,0.9110632072667901,0.9526614008346708,0.8714938514050156,0.9156167273232609,0.8179735837368715,0.879093393937625,0.8280312278783369,0.9133701436262746,0.9100144978897722,1.0159356100972534,0.8827803108070313,0.7942389265344663,0.8493727138487357,0.8199446268904953,0.7927987951065256,0.83670851671344,0.9311231346397959,0.8763461889109011,0.9607173366285272,1.0389091802711183,1.04976598895268,1.2382778162032546,1.2687980985307503,1.1549157914265387,1.4324398701883743,1.1472477809390043,0.991411919337616,1.0686639724764508,1.0419302301496112,2.2897541472913905,1.174180204366153,1.7613812837183012,1.1269702505707737,1.1729043029432207,1.2880976487019953,1.3371856569243643,1.1305178721376412,1.0570781907001532,1.424515360399969,1.107997306916232,1.2382477950386515,1.0093884638326538,1.3242637237695316,0.9580566680984698,0.964779716445249,1.3003905236296287,0.9147000216862085,1.0799605827372247,1.1980764223899725,1.2785106902052208,1.4000552264463817,1.6547044328959615,1.5601556353624249,1.3096243048985454,1.3300932044949503,1.5377562222120906,1.3889427881591863,1.1010018656925402,1.3385066283852716,1.3170437305596334,1.0345945781106365,1.1876139232100729,1.3683161369218062,1.2079033730663928,1.1494414951937888,1.2444626919890946,1.1216242262691396,1.1447951100911768,1.1105738718111606,1.111567615042409,1.0992004843404726,0.9412828222519154,0.9771013495127436,0.9571281738783358,0.934862423819147,0.8599189532699362,0.9090806665741809,0.9291245209605556,0.8516050674808938,0.8426665989737951,0.8732929252421174,1.1396205188100725,0.9394349634107755,0.9681242228390025,1.1147308160238956,1.2296938195930318,1.5152331779315673,1.1769966231786617,0.9705246765195598,0.956477726109132,1.1574826941661414,1.0117760055469056,0.9976446872057436,0.9269016341053535,0.8273202437144299,0.7448738536252306,0.778445837081662,0.7297786476827418,0.7912955468639012,0.8553946125605065,1.0018737358468854,1.4725519278273675,0.8107445903311835,0.9091592477960244,1.0959682078906618,0.988235809660456,0.8037351974525347,1.1858365829416386,2.0928739631822992,3.713234797144763,5.270652309773188,5.901878139171533],[0.7062540303680629,0.5047057659807594,0.6489928845086437,0.5149799706084144,0.5536051409754925,0.5448055872244875,0.4658670741607834,0.587699341277263,0.4722245737528045,0.47318051450626714,0.5152218725106071,0.7043514750023063,0.585921060925041,0.49762442533278584,0.7306391566872655,0.7131793220228727,0.6224594364475978,0.684889452758154,0.7206618248291858,0.7006997606750089,0.7526631418746652,0.7621738785199579,0.8737879876221385,1.0050968035107746,0.7125063181372083,0.7194393992195478,0.627012319301964,0.5884279918286699,0.6554704634110757,0.7567161660113211,0.8350096900438961,0.9209289864048062,1.1034194494226146,1.046956592071736,0.9558857916792162,0.8254950039686187,0.84818362712161,0.7146007635039746,0.6719199889192171,0.7171665856291153,0.7047211698311712,0.7345187317952565,0.7658128496571421,0.7206332789034237,0.7859447713508827,1.6272571515563448,1.4226449572351756,0.8437355022453333,1.8584497647216998,2.1701126152535584,1.2468137807890955,1.454112559502811,0.9705364273644893,0.8479352729421372,1.3679360096593045,0.9734863599543604,0.8869104957613243,0.9556656820566742,1.0337874830930038,1.0399176751640566,0.8665056974375621,0.9995253527780883,0.9285028659186849,1.1056252383607925,0.8449895048392795,0.867165505705424,0.9869366590989258,0.7992427373510689,0.8666291078034165,0.7929843368867123,1.0371885728047738,1.533248839442581,1.0511154366744704,1.0424668925679772,0.8356543634296777,1.42037341290703,0.8892866127320429,1.0213833391523663,0.9342793973139825,0.9064557056330749,0.9669082334181114,0.9905639520130674,1.5805645262246455,1.0817070785911065,0.78031805145894,0.8043742237866577,0.7936466930419105,0.9948054992262357,0.8373491926865123,1.0484756573316492,0.9385844951108196,1.058641161595267,0.9741614338665813,1.0132541933331862,0.8901823666668058,0.9521106913736128,0.9008444281272416,0.9742521336757509,0.9549476493925008,1.3856128572769915,1.0584873169480895,1.120332649456121,0.9859198072730205,0.9706265580392509,0.9084144553745884,0.8229467352194083,0.9649825434463444,0.72851828055154,0.6910620010455926,0.8506014736617213,0.6370325253813608,0.5927403133648369,0.5013484737113925,0.5348642268033056,0.5288348432252975,0.5198841307296377,0.5211075417600369,0.5278432130316979,0.6494533591782875,0.6333992709084464,0.5692036447297821,0.5111212892716421,0.5245429660253709,0.4679449135485367,0.46346030551762174,0.4717739359499224,0.623878463961399,0.5532002073923459,0.5561021957001009,0.6303741160600238,0.5639355936409969,0.6537234999975586,0.5838008007745208,0.7951958964755121,0.6018503092017338,0.5820929629180236,0.7102323210874284,0.5314180436633742,0.5192693691242727,0.5061171740743319,0.7320435132973165,0.682123306980685,0.5941711536173144,0.5301073414514249,0.5663263584727226,0.6165989041551094,0.5486691242305144,0.6131704629319187,0.621902693254119,0.6008955429405036,0.8058536608642879,0.9040636920440235,1.6015311586730598,2.3368261005274427,1.5854975860985596,1.259016655138958,0.8946890959218933,0.9273020936134565,0.8098536853949451,0.8442254118035152,0.608363612846875,0.6725535867814644,0.529646382624029,0.6009977877968471,0.6383034297234627,0.5966683596940755,0.5423678136301859,0.6506449784338845,0.7088790431842792,0.7043750761882135,0.571242647958432,0.5435271047215194,0.5648406004433553,0.6258956469941163,0.7423652772884733,0.879949156691843,0.8793492627130363,1.1230554859163473,0.9069610163858726,0.979593805723748,0.7755920661457758,0.7239204509188385,0.6972847720302563,0.6497220478912545,0.597953184000749,0.6716846703394372,0.6600746722691258,0.8870733945547411,1.7424896270865347,0.7151303446915999,0.6328338824122345,0.6124629289448283,0.7177662454847944,0.8039616751322569,0.6419223105051527,0.6356452606005732,0.6066005899603211,0.6078535291072742,0.6008195816160835,0.6751124476388043,0.6480730447910246,0.7338960872254573,0.6372578597199791,0.6159588539610625,0.628275590451683,0.6177913385748456,0.7156011795242523,0.6683304696398,0.7013812024128963,0.7214997860480205,0.8452873242928857,0.8711199989109971,0.8790023714871325,1.1052895076312639,1.13105326087551,1.0636684887816206,1.2799434018417337,1.0508520166024697,0.872420839191511,0.8921210148049025,0.8430757051139858,1.9851882043363491,1.022305445435053,1.7149919088665095,0.9048611761658741,0.9100029622614888,0.9997489586604379,1.0200996432151492,0.8361620872599823,0.7168567572275127,1.1424815968324449,0.794512143155932,1.0336979446579904,0.7250467195015964,1.1132383500754681,0.7855998496485704,0.805858765827882,1.2064167116660343,0.6974697051075847,0.7880321793835605,0.8800636362525311,0.9819930477097861,1.1065495968927528,1.3932810149609736,1.2876528356954369,1.0240648796078897,1.0503379325071944,1.3057839319586517,1.0931338731620137,0.8569937841571019,1.0912817787091496,1.1064554383309309,0.8287863295200126,0.937417695241267,1.1074225442861698,1.0280186160807894,0.9321659969912336,1.0087831413777402,0.8863960583579605,0.8835992334716902,0.825670366092462,0.8166588424468433,0.8681313275042521,0.7097783220207264,0.7043866505524858,0.7274052796407715,0.7490874031853566,0.6374467112093073,0.6901889382393545,0.8368263980855339,0.7497788251167096,0.6955154165334911,0.7853120614553061,1.1743768594650477,0.9354102063837051,0.9562755583471573,1.1125315533181186,1.254940943266294,1.5096464202013606,1.1659405205072588,0.9328789981043666,0.9076868688928682,1.1483836648274162,1.0205120812643742,1.0180407695928,0.8843687202801828,0.7287013621099202,0.6259194308288288,0.5754929830168696,0.5477874082444386,0.6185082416392206,0.6077122027897619,0.840562939970672,1.3604409286231376,0.583234489860975,0.7864733833691385,1.0148869052366098,0.7731918914644352,0.7673217721918749,1.0818045538561627,2.076510051606832,3.8956577494032523,5.272560318672572,5.616044807208302],[0.9096547932221154,0.8046963585410367,0.9846207951888316,0.7475439243169233,0.8665106429251492,0.9324431527577424,0.8825057615849704,1.0197476223414161,0.9264944252565176,0.9142816647142713,0.9557840983958528,1.0302243431557152,0.9888422914608533,0.9162091762606415,1.0449177281865796,1.0610348130386615,1.0081616774851594,1.0555169659741117,1.0981096893009363,1.079584331641011,1.1526112521824317,1.129688033854775,1.2503781145748978,1.3801496880827924,1.0642537485791583,1.0801664690324126,1.0151583422431893,0.9861261747742096,1.0230751953299349,1.1134806082658708,1.1887173801771531,1.2488683563771765,1.4217120022800191,1.3953958108077822,1.2923003765273473,1.175455976021603,1.2009642296718592,1.110199565317474,1.0680852121182716,1.1036208426263805,1.1167436649082798,1.0828708798561693,1.149915399905894,1.0712629436889634,1.107645763892849,1.7239602430985808,1.5372763020895315,1.1235218964313878,1.8298784618780843,2.0871694078581076,1.386591054444985,1.6273806265195299,1.3953130995552276,1.2574357229172894,1.6395392242258666,1.3096561175700039,1.2306667294679179,1.3120089585962182,1.3606995734307854,1.3856521251714498,1.2340904184667894,1.3476273468352686,1.3092670798344472,1.3659819338196006,1.1974536346277567,1.2283072421112313,1.2633688736008977,1.141708635960243,1.1902348428360645,1.1453248747855418,1.2897088462268416,1.7622923946903168,1.3418958774948275,1.3788344510303727,1.215219884609096,1.7608993388462668,1.283609806202288,1.4296657614775399,1.3127593001430382,1.2611285332192446,1.2894893146398607,1.3163876191258086,1.8778846436165912,1.4261889959304,1.090222930319201,1.1347923608278512,1.155981900030704,1.2791492810947531,1.203083774722004,1.430218001559213,1.3191359213147813,1.4501352792436901,1.3803669130248695,1.3768140050233562,1.2401260387093291,1.2897819543893594,1.203985922848049,1.3048547366275192,1.281130273745311,1.592517266911317,1.3565593919930743,1.3914293800342863,1.303806449942993,1.306079432101828,1.2758950997825735,1.1672655379150056,1.2625836151407204,1.0737200004512202,1.0117669917028052,1.1368274562752596,0.9687001130046378,0.9595246527124186,0.9146041883309268,0.8994059486352535,0.9044820257361895,0.8993771373148501,0.929336646989909,0.9207356925658149,1.0312632034559586,1.0621296492327121,0.977038139394837,0.9238263094733403,0.8797604221016361,0.8463383629511936,0.8361326336772266,0.8419537768985004,0.9055721947761743,0.9124624945514522,0.9064211761771854,1.0076033411207654,0.9524270563268957,1.012649934902189,0.9722854207627021,1.115443185140718,0.9990786170480274,0.9742016271681908,1.0036789031687274,0.8659384885544819,0.8455156127488299,0.8681667329575656,1.0216421095850887,1.0467090131858192,0.9694743295106386,0.9256116841855521,0.9552662974583922,0.9859263589082464,0.9429610875555082,1.0136529466511681,1.007207901469288,0.9886754809998792,1.126988796727949,1.1779931184486407,1.7234911561286501,2.331167274430192,1.6689077090995919,1.4572234874509125,1.1815181622351363,1.214998767343841,1.1645709506925592,1.1260698697037168,0.9995285554272055,1.0388684093321516,0.9297625677326586,0.9824336144306021,0.997096329518416,0.9947253184637135,0.9315950258973988,1.0061591892824864,1.028919778589848,1.0239354135771948,0.9229974637881336,0.897752761598328,0.9594574188096847,1.0079894050041631,1.0929823191035652,1.2028380762911715,1.1949882688133209,1.4413920950835755,1.2199048783307915,1.2871345534340128,1.1096934108934262,1.0924144416806059,1.066692727839833,1.0158565170694476,0.9820405524099916,1.0152351203695926,1.0446728663822242,1.2320743628377502,1.7731214888300175,1.107398405145382,1.1027376182297897,1.0468023360952317,1.12785446427071,1.1596785101489684,1.01944350809292,1.0133237042895664,0.9895479295442771,1.003347936932308,0.9877287625614638,1.0492798369893874,1.0439254186601439,1.1143285007781745,1.0304272503220606,1.0171009355422271,1.0505024159099596,1.0430257521790307,1.119438816713718,1.1015014956816493,1.1261866176709001,1.1352253764298987,1.2342332800012432,1.257289536935498,1.250792431925567,1.4291392505994838,1.4807396472902392,1.4126709403413582,1.6073650051067006,1.451077406754532,1.2752632940057225,1.3256721695220839,1.30336827502587,2.1473253457510784,1.4872072716119686,2.0466133300684537,1.3162670685742874,1.277458990044459,1.324515890567764,1.3506604049656799,1.154945788518612,1.1252875512569054,1.4151674578818545,1.2050795289952045,1.4382639429535522,1.1280597563523083,1.353554461753778,1.1749511792814162,1.126636239505674,1.3602118185002359,1.0244501772622574,1.0847483213068052,1.1824583114738083,1.3428249515935593,1.4444222685847798,1.7524550696424066,1.60139293769105,1.3506573189255278,1.4166458026549449,1.6113297219548397,1.4469374524624958,1.220374172792493,1.4371136520260357,1.4454590962524498,1.2160351527089732,1.3263325862745066,1.4639697635700248,1.3674152478997785,1.3128755681446076,1.409131944274305,1.3003199985178402,1.2940383294522035,1.2068805223172703,1.2127927725951473,1.2635455912722393,1.1362733573577257,1.1577404276460201,1.1670927089868635,1.172114797147795,1.0682549456713644,1.1095071813152677,1.2369485748833253,1.1355314162704564,1.0790071344985257,1.1710517741350406,1.4704026193963717,1.2811613075289856,1.2855443957480213,1.429890084909367,1.5449594979426764,1.771421015166119,1.4714532680773387,1.2874175683855036,1.234675971796685,1.4260478874804674,1.3127067331561404,1.3260702093891785,1.1836808567635524,1.1215770254854045,0.9897235456647513,0.9616179865311394,0.9156782893165245,1.0172603138238367,0.9987373566962826,1.2656597500284201,1.6240860849823657,0.9886539151687151,1.1719078459935015,1.400803405204809,1.1028038529386068,1.1241312621923398,1.4180601419026175,2.27245404421204,4.073270304083996,5.586683461012495,5.824383325224197],[0.6621111754916209,0.4404359612926146,0.5208247816368028,0.430653062684854,0.4407121090815633,0.4362366282894319,0.36370038904496543,0.5536066809681358,0.40987459572624346,0.41225439712484124,0.49828449595309715,0.7031149256490841,0.5449373465545042,0.4545217541913101,0.7017196274801096,0.6781732885258787,0.5780076516399932,0.6410447912096828,0.6784178652632685,0.6409561017635763,0.7365849820002338,0.7203210762452887,0.8484299350805091,1.0269728016997874,0.7018807383744667,0.7188329423991012,0.5732174679623289,0.5392734378499442,0.5964725628738354,0.7024516318772868,0.7936196066823784,0.887083998773004,1.0722919651929357,1.0185343664662825,0.9157260813213431,0.7683624853906434,0.7978182876468044,0.6449509641340325,0.584842168504352,0.6157412050702228,0.6552130799413788,0.6609922500355675,0.6908052472196,0.6481064322682781,0.7929991828376066,1.65627935013553,1.5282702756463655,0.7660694795755746,1.8070138245365277,2.1495285527758314,1.2136769349423175,1.3838937605156616,0.8701930677289952,0.7547542708867749,1.2679380017939992,0.8763209104034643,0.7856426288436453,0.8773269212517989,0.9711174696296017,1.0288421303536148,0.8100822104128629,0.9268464169881915,0.8686006377737309,1.0482974327017047,0.8030108449102769,0.810509585089811,0.9358146678970923,0.7504769193529583,0.8589241738280702,0.7625170333385266,0.9945369063991784,1.4740039543670655,0.9866378625800744,1.0322855501200887,0.8008530682042885,1.4130175275442303,0.8408047164005017,0.9899243515924957,0.8868952466394073,0.8535030940887711,0.9123728776075225,0.9147021395717859,1.518150945753074,0.9889676515718572,0.7043677906989472,0.7343413077762058,0.7270448903787122,0.9347617564819305,0.7862223075682037,1.0219205768997275,0.9055956211092504,1.0609972893062136,0.9639611481900501,1.0005672886342225,0.8639392364135605,0.9464548520947351,0.858691103709291,0.9504431312722683,0.939392391201989,1.3930036572638969,1.0397374291358776,1.1304949487136542,0.9539520133663886,0.9503227503233671,0.8709824385470165,0.7759030430800363,0.9068102303366818,0.6789263863527728,0.6531217630708035,0.7937272818390729,0.5949920059172606,0.5354135890211631,0.44848708512620056,0.46087993312689696,0.45367368660024526,0.42752936934222807,0.47688240602053905,0.493520803567563,0.659521031810944,0.6059406933940289,0.53371660480122,0.4541262257536025,0.4749755731048844,0.39011779111406913,0.3873342708066447,0.386073644743533,0.5632357688192493,0.4739714797642897,0.4732009068333949,0.5490715921959254,0.4665306194104386,0.5530226755072418,0.4924531258540774,0.7268044992258219,0.5157910756276066,0.5122500361484562,0.6655738284227988,0.475050830920265,0.43599509169835643,0.4400365344571448,0.7354850671049986,0.6794393017614172,0.5290067875910549,0.46185939589101116,0.4756826472679613,0.5221045079625648,0.4639121820211122,0.5439345260464035,0.5685843260805092,0.5595225458452888,0.7971587812081314,0.9310208240778546,1.681170325050634,2.3752497014148086,1.6268470107027464,1.2894048292133584,0.888633087005993,0.9220692460483962,0.7797429596427208,0.7960486769233626,0.5413442987433897,0.5885479616463322,0.4381908655825673,0.5135384857646429,0.548885600535445,0.5039582872462239,0.4865738358212252,0.6612338518151291,0.708882656279199,0.68908115582171,0.5096811609070431,0.46439974288259084,0.49124384626713025,0.5463458629141829,0.6502456677919111,0.8166957913287411,0.8206031128868255,1.074240758002817,0.8266275869053581,0.9093851396627738,0.6900739729447337,0.6538564457555978,0.6162823112853085,0.5541196076852053,0.5220664630424574,0.5813931177180743,0.555743495451239,0.8120545632046858,1.7218198114635181,0.7064035922707431,0.6481397972178499,0.5990942069986426,0.7223443443282714,0.791469764667027,0.5590712419061779,0.5025121335348428,0.5015905893190676,0.4980445403454463,0.49677312417034714,0.5940688176610496,0.594596044922749,0.7220800644484389,0.5893713123202077,0.5557025587765345,0.5982262242820202,0.5829748639882948,0.6446979632839113,0.6197833836962375,0.6758603788433004,0.6373664591786402,0.761140513781892,0.7804627130161155,0.7517039196112782,0.9949975107739842,1.0537093958970818,1.0099928474622715,1.2284933812647802,1.0758792494879381,0.847932137572208,0.8566176289843839,0.8223244100684527,1.9333243017685782,1.0450743849246604,1.6586850856203148,0.8545672015735427,0.8860670872421634,1.0199300764958312,1.0315050937913053,0.8396319466577584,0.7107940734092766,1.1342593796539189,0.7642580987981025,1.0425649918807836,0.6964665543090649,1.0236021998479583,0.8183303550104962,0.7688954853279207,1.1404491364678928,0.6162856113959854,0.7230726596150463,0.8240961082138628,0.9631696230086346,1.101872456617228,1.425653055648279,1.3134530412459047,1.0210450516031295,1.088398822423842,1.3788343322206538,1.1591721490840907,0.8815763654527362,1.157276396861844,1.1937641179720828,0.8471124032845787,0.9638191043722619,1.129703245857014,0.9713246160566607,0.8950190406923766,0.9998935930934723,0.8726139632695372,0.8870922933503872,0.8428712870056005,0.8248527627819524,0.8501860089741994,0.6857615337433809,0.6943511794402878,0.6934910981181638,0.7109186122262411,0.6038296374367735,0.6437437776912619,0.8481979750367227,0.759807450812641,0.7026978814257753,0.7781674327405209,1.24172677795948,0.9658003750213648,0.9727852943018268,1.1752609358688242,1.3261505433472278,1.6035150358460308,1.1985311096986504,0.9235341982070724,0.8517690013128996,1.137945148218207,1.0346232761146401,1.0708282562427207,0.9188427248349371,0.7093585496374919,0.5578420754623217,0.4826172147740844,0.4574071187589514,0.5470599764068808,0.5448552077345659,0.7390489498021118,1.3742373543408466,0.5124994728241311,0.6543076089533573,0.8085559669801432,0.7930555196814096,0.6340296627443347,0.8721012488055266,1.567428018242041,3.492876618674042,4.946257315197049,4.87179225723211],[0.6236785317622696,0.40167676852403195,0.4878158713183279,0.38513128610291375,0.3872018400147138,0.40534334601557187,0.34058849367702737,0.5097308734733961,0.3908149914457841,0.38902444036239353,0.4503898811872269,0.6495085096357239,0.48774226708667795,0.44086234108228345,0.6445825805064661,0.6340167685383618,0.5509298021833741,0.6399004650873299,0.7238729376144001,0.6451928916080342,0.7857243847859666,0.766343292407456,0.9108427338090014,1.1826701808579347,0.7862153482926002,0.8059031873213683,0.615426572696876,0.545791257091992,0.5708217300730529,0.6501736861265541,0.7665249567363223,0.8344828460984302,1.0369228932814645,0.9721776670146897,0.8695380018922112,0.7331525029773686,0.7340222219054977,0.6097261535028297,0.5651300848011623,0.5883183732693996,0.7132554982182056,0.6657362689414105,0.710969726560408,0.6686472495815035,0.8550877881190859,1.6860660485495083,1.5687715746288773,0.7834967041566653,1.7765882078170525,2.0745020868163686,1.2583813424387083,1.3204647295194814,0.9100543246645755,0.8045956995298905,1.27371382703506,0.8775369542218115,0.8193521279531726,0.897410416163675,0.9973289073733378,1.0790408845488613,0.8308634603009838,0.9104973207593137,0.8724642799836589,1.0641228640431597,0.8397683388220732,0.81309232944221,0.9672727238534367,0.7475737466960032,0.884177233372547,0.7578622795837502,0.9788873396733473,1.4741442242488352,0.9453746644984948,1.060263097373195,0.8124603655788599,1.4519887425250004,0.8523428370208573,0.9800025927413838,0.8746284418855583,0.8349508928606859,0.8560554419139342,0.8814724268943638,1.4760331046827413,0.937873071327077,0.6781578859547754,0.6898130144794706,0.7008681602039266,0.8594266625700298,0.7597505806548219,1.0034236831604917,0.8925986174692055,1.0572934800010363,0.9544179801777275,0.9772565400512434,0.8290597896773272,0.9163466895584446,0.814158076301986,0.9035598808041682,0.8907435644785352,1.3543277449763806,0.979952625360703,1.0409259084929523,0.8760778288637967,0.879418496078504,0.8062231100504273,0.697463235711831,0.8242692560730693,0.5949215224939778,0.5805049259037356,0.7183690128628077,0.5280958093651582,0.4541024971945373,0.39256868639538955,0.44633331205353916,0.4369360719364061,0.46429661307475467,0.5032047360975443,0.5388939804133603,0.725859579759232,0.6254866974076244,0.577511895114522,0.4993908111264852,0.5201238923757073,0.4227691102546347,0.3935286219642458,0.37093243513682367,0.499053524985877,0.43162316159473585,0.3973537740982113,0.4643522497992677,0.390866297928846,0.45432170163717195,0.4202983509761164,0.6112467452761942,0.4831665923587865,0.5004307473713829,0.6306755468359888,0.4641972012254139,0.44681916184697346,0.4767558472643213,0.7857486566221408,0.7754823262846017,0.6113581839494633,0.49866081414918545,0.49203692458640164,0.5120083166952142,0.4569463247176213,0.48971157983910296,0.5192720584168832,0.5112092610794929,0.7259128622284993,0.8817687792319793,1.5880299614510383,2.3293811386730754,1.6036980943092065,1.2152153167977378,0.8220126270153848,0.8447378976445812,0.7118036525066422,0.7284864603010572,0.4974375713074172,0.5285810044112439,0.436751928557265,0.4786917351811998,0.5422515677641906,0.5781398147486888,0.529787150235096,0.7269581328044465,0.7243610688187442,0.7129348170148466,0.515834881739009,0.46694201572916155,0.45802378022223944,0.48135287206965083,0.5923391048693394,0.7388924974486987,0.7586322187060107,1.0107975786105163,0.780489546188442,0.8366348470420147,0.620459822306462,0.576589153332437,0.5345230531110932,0.4870196947184023,0.4771066844951896,0.5243385083721324,0.5333989169656248,0.8781364925081556,1.6252619925921912,0.7699190388912296,0.7203689812649924,0.6189418134597482,0.7335262269064872,0.7711288944226224,0.5176274797015845,0.4695736738458438,0.4589409881042266,0.4211963455875718,0.4395687653839584,0.5399352947606874,0.523437601162866,0.6508243950225918,0.5239271355918715,0.5093403659768475,0.5441614101523229,0.5336110528957343,0.607932937372313,0.5740819734484147,0.6363913848473911,0.5916465835499891,0.7102028443994735,0.7298617166030641,0.7047153874966108,0.919622100157877,0.9756451654753322,0.9481152896613463,1.1891133070035735,1.0148047486453555,0.8001645649937599,0.8042369478101008,0.7712898404676296,1.895356080021188,0.9886700299072747,1.6223885733039656,0.8041384767445803,0.8361913154463492,0.9852388376240008,0.9779457843071633,0.8056504725855865,0.6452873906456851,1.0777278640076147,0.694607396085542,0.9756364819018366,0.6163453759256257,0.9935823821706967,0.8116601830576515,0.7714010089591106,1.1598081305951438,0.5809633208163835,0.627466804650465,0.7567070419229311,0.9038963621176922,1.0498779958125606,1.3671641401916095,1.2529883426899342,0.9593382546287166,1.0327230038816122,1.3242296770054718,1.0969154862649795,0.8363264906923609,1.1196357588822652,1.1610388143469845,0.8187115427457501,0.928357925729,1.1046505820518178,0.9561176606209447,0.8664187793558644,0.9671904947813663,0.8345763865752933,0.8480452345645726,0.7931326393418573,0.7703949015614652,0.8122840837399866,0.6443365056900696,0.640216033088755,0.649651162591001,0.6693088051074834,0.5612518587142643,0.6135720277176047,0.8159685367742242,0.7160865417975123,0.6714487574158865,0.7410890472305952,1.220657891189628,0.9307439691472037,0.9342841881278197,1.1586945936834123,1.2924799981294623,1.5725119494152597,1.1459690273864023,0.8738921882473584,0.7942143286990231,1.0946856292863938,0.9910061158752691,1.0404693833016527,0.9130894647559686,0.6818490312807336,0.5259987102891663,0.43373346744571656,0.40579482100250563,0.48471107672471775,0.49746509546667816,0.7317499147389266,1.3330913032612446,0.47370922783350905,0.6498750710156266,0.8364681543402992,0.7433901416729479,0.6302624689476929,0.8430736102143815,1.5782348720107033,3.5294048544787597,4.915253200059171,4.817191777233642],[0.5905751803802244,0.4129980768642095,0.4750811956912082,0.3638143454357722,0.3811904694248325,0.3925537698230917,0.3061005850254186,0.486507895789255,0.36881458667158007,0.3382989853670675,0.40663718128788934,0.6230636023962433,0.42860397267626693,0.4031335654135943,0.6044450891948264,0.5738053184501953,0.502335166727022,0.580531372483036,0.6560476937472351,0.5832775699369771,0.737802146754623,0.7052101038299411,0.8412267493962777,1.1212963169622387,0.7507233533276031,0.7677312766685231,0.562474873767235,0.4905837684346342,0.5040886616064902,0.5838728371130486,0.6972781635501465,0.7565291872713535,0.9603882357106664,0.8800088274889568,0.7838654856070651,0.6520072148141635,0.6476674122845458,0.5351476464696622,0.48087909051273436,0.4966437460865719,0.6953700560597278,0.5912188293462795,0.6281741939943546,0.6037226324343831,0.84507391965471,1.6644597531068208,1.6056866465171467,0.7606610046077639,1.7394456076908176,2.090360621534292,1.2159193084413948,1.2683831427324281,0.8359333608915029,0.7239830534117406,1.1828475202177149,0.7629691925689043,0.7147411295898278,0.798634737633261,0.9017040416686423,1.043526657961968,0.7551887885019664,0.8164544453517317,0.7700588561875946,0.9746923365812513,0.7550282057669813,0.7410212327165796,0.8951048881155332,0.6784639404439046,0.8392875642923774,0.7102470953221847,0.9416798705965187,1.4188955267107595,0.8890521161346114,1.0047319289615768,0.7433889030075802,1.3761142295677056,0.7613469541922095,0.8761327120101701,0.7715331936252012,0.736319485457044,0.7472338479973801,0.7706746153323333,1.406808888808382,0.8261715619938415,0.5934859556200933,0.5990701146314388,0.6121642769830224,0.7749319307573321,0.6702245897678153,0.9011846812252777,0.7982940708136501,0.975827847172397,0.8712964519143109,0.8983117663478429,0.7646285706315028,0.8668593914633879,0.7615669798469175,0.8489487360419145,0.8378987498867998,1.2976067274844656,0.919981234385836,0.999877977380247,0.8064147097680909,0.8255763222944001,0.7439883579665344,0.6660930730059819,0.7973161689037316,0.5626609214392786,0.5550935857121176,0.6877651968530719,0.505523408154898,0.4128426999226039,0.36539969278134465,0.401217198413385,0.38904492510772243,0.4242683950744946,0.4607192000544741,0.5357035252081424,0.7119258421011896,0.5962322094621114,0.5586990450730788,0.46412797977890863,0.5160717855841139,0.39443829104332845,0.3593288704975696,0.33632430333208363,0.4777565487146042,0.39122503694231225,0.3448158193348829,0.41778370290182637,0.3795002001496387,0.41432758520695845,0.39420057276422005,0.559013631554619,0.4678358296492883,0.4920387665847091,0.6492974021616924,0.4643497417839082,0.4511104220593397,0.4799706959231411,0.8099635027923757,0.7998308878347192,0.5910623973171816,0.46195626799421763,0.4266807302490005,0.4416680591790823,0.3892891552373101,0.42960154149774177,0.45722084854420164,0.48035911498461314,0.699483841860846,0.8654117792299885,1.5967703544451215,2.32949378680408,1.5953653212459693,1.181618456331694,0.7856477196121019,0.808958190376468,0.6508412977654979,0.6700679582309146,0.43068161029406454,0.4492682542619801,0.3851621755234792,0.4020991902420131,0.5008617675742066,0.5734307482557983,0.5306858076451346,0.7779465772012224,0.7840899203087164,0.7638843153818667,0.5193871989533974,0.4330582219625614,0.41216753594970756,0.41347951236471897,0.5008906187508294,0.6699555016742194,0.6872542689544261,0.9338963953365345,0.676016264134352,0.76701690301769,0.5318536962287904,0.5010775466502136,0.4566897966302296,0.4122224504593481,0.42329328141867284,0.45819784125879315,0.46667266562897425,0.8523121406726868,1.6595957049118721,0.8089613925906871,0.804607823448834,0.6610348414076689,0.778273214387499,0.8104634800420057,0.5177160758052547,0.46765094464514845,0.4630464034031855,0.42638317477755877,0.4607456461254665,0.5411409237186552,0.5246448747441401,0.6553457507206256,0.5249112481275118,0.5235885190357222,0.5716526304856676,0.5602532371897585,0.6261011194024751,0.6015389147652807,0.6810978461278433,0.6039000409107805,0.7084971882926213,0.7346810194272682,0.7048448738337084,0.8821198043177447,0.9489820612245615,0.9443059629001136,1.1721383060567623,1.0282608096391317,0.8153879991927391,0.8124647667748315,0.785706200135713,1.8199949354768226,1.036226913615542,1.6300339716196197,0.7819811031481332,0.8467409244570367,1.004665441308798,0.9842954096717913,0.8392581490059122,0.6550252539578685,1.1035068463241489,0.692168317913873,0.9711812225931681,0.6331341702549078,0.9732476478920166,0.8434910372646061,0.7716869438163246,1.181823633000295,0.5939855475213239,0.6148431067332699,0.7245648585094829,0.8849592470970207,1.0322451534068067,1.3783436206327784,1.2449775156067897,0.9521408692913085,1.048526434766943,1.3549255530945716,1.120456673640079,0.8755060582376506,1.1738389369867637,1.2343536504872712,0.8828431544180699,0.98194244645975,1.157877538022101,1.007026323704331,0.9015574967644389,1.0071886966299968,0.8667516617699462,0.8793790664252183,0.8286201347062738,0.7954482049340821,0.8526051214610136,0.6779099653509947,0.6626428855907535,0.6718425832809111,0.6803654384386321,0.576978552850363,0.6299431674038365,0.8326185445463516,0.7371000471375597,0.6965800708279719,0.7666228435833553,1.249992061484654,0.9752329484725089,0.9696313904885273,1.1955571778026466,1.3291867919123335,1.6023190618833927,1.1690729115281604,0.8901031049399823,0.793201690281851,1.1068196760827622,1.0270058655047443,1.0951905432589628,0.9585171274409152,0.7271608426210775,0.544978073598209,0.4560365008556358,0.41792190860814266,0.4866683472277744,0.49992170204254105,0.7160765164806666,1.3507167915936529,0.47229098873245,0.6238087934875693,0.7794400123330899,0.7590814319200538,0.5980040595259025,0.7485856515983481,1.3518016706395006,3.3126332768289695,4.646794218460647,4.349167801834242],[0.6366265119156608,0.49896906343330116,0.5542146836545138,0.4702398874951522,0.5089035299202656,0.4610629885853041,0.3726916599631732,0.5306402473714044,0.416945566510442,0.3696968377159605,0.4170746443446561,0.6130929635540743,0.41776235251725313,0.4120057973749823,0.5876137563814606,0.5435150012186485,0.5152502366273164,0.5708434097337942,0.6575142222343568,0.5780668169163927,0.7205900879268037,0.6880397805573959,0.8170436731085036,1.1359667862909388,0.7662712818912152,0.7746580319467989,0.5624673132372011,0.5118220717207077,0.4910064310100443,0.5598990892245562,0.6499899058428706,0.7107908446423034,0.8866723213506693,0.8145131295670155,0.7350350761768062,0.6136637760405915,0.598543635508446,0.5031160074584263,0.4688749201512799,0.4747114145470243,0.6951677119616823,0.5637118013472909,0.5780988232620348,0.6006615236682363,0.8789325138015813,1.6849588616605218,1.6688578781523205,0.7719157617824938,1.7464859170372125,2.1441938610222144,1.215263251683607,1.2367042084695175,0.8196231292440167,0.7057829487477901,1.124868501194762,0.6953449215424257,0.6593243514666564,0.7439819193324814,0.8546787426113173,1.0124234327974013,0.7371570189190171,0.7885535490649613,0.7281309327919414,0.9320759115609515,0.7320237715372547,0.7226688396464643,0.8795604475284434,0.6683454737248433,0.82121314958145,0.6987719333515053,0.9320150707485472,1.3906282450989755,0.9047956412378002,0.9921667114166661,0.7146120585040969,1.34891317110907,0.7225343755130041,0.8259319148994947,0.7195386888914024,0.6818971096925917,0.6809576962189702,0.7257839656941766,1.3838566311617366,0.7548220952404155,0.5467734512433731,0.5406954946294248,0.55938029391005,0.7376445924227205,0.6284982033820717,0.8576005052281356,0.7565656448558131,0.9197360664580415,0.8234559912711078,0.8407905380703508,0.7174943547850419,0.8224486790916722,0.7381905868562733,0.8021407343028475,0.7884842958686221,1.2294379347902402,0.8610967870102118,0.9906894759263295,0.7690367177570089,0.8134470836825755,0.7230436541756997,0.6776468409742685,0.7942555332175085,0.5646813604238105,0.5667054375421494,0.6709668201196671,0.5190465885199341,0.4297904680765772,0.4012774312821886,0.42864242186624046,0.410160835792012,0.49315854911990054,0.5027926808918868,0.6084794052835801,0.7779421910793811,0.6559434947106533,0.6308349553851096,0.5166601221542709,0.5914866110110748,0.4497003764283979,0.4301061005592953,0.4277863771685279,0.5129508423805139,0.4260116673532398,0.3951079756101113,0.4498144663380051,0.45617302268511345,0.45272472482041903,0.45834819239532554,0.5726249025902503,0.5197493205464955,0.5558155245760926,0.7052937060126074,0.5514773096551748,0.5628477703177224,0.5666366610106792,0.8762258939206959,0.8636004655142534,0.6748634540330822,0.5445603339489367,0.470796467052847,0.45259072459182365,0.42107135933495743,0.41069773740944043,0.4551193350394528,0.4881035683293008,0.7006257393835148,0.8578280058387922,1.5980465158478712,2.271181449651604,1.5497751570565934,1.151712682432236,0.7556421867976862,0.7960831487511812,0.6103952675729262,0.638367716596075,0.42500192861593666,0.42865218019162143,0.4253302947193034,0.4117559856099479,0.5339924143049883,0.6582019997880159,0.6118925063910643,0.8926070098464758,0.8880044339895514,0.8674160360371914,0.604989572986337,0.5050454033628,0.4458045776536631,0.43252656473897994,0.4751900332969338,0.6576868966347279,0.6547520368873214,0.9123497178257578,0.6211387490766375,0.7533989537344215,0.5245206790105237,0.4975662620213361,0.4506843213173109,0.4244400663997976,0.46359537266043704,0.48673968624218916,0.5058208247911772,0.9016445013083801,1.7149512518877226,0.8909194635199014,0.9285725404042461,0.7138823013606347,0.8466438562163507,0.8744936329559664,0.6100612723746661,0.5571217665966015,0.5538978777666407,0.5159990045199185,0.5550785948831926,0.5948954419240335,0.5919720948698798,0.711403418967477,0.5843128223452245,0.5930175325434566,0.6521958184758502,0.6421109613482855,0.6963172258323708,0.6949063667796018,0.7820860401555193,0.6908714347332459,0.7854646146962252,0.8124170699969491,0.7852975728119099,0.9196688216344449,1.0028651860548277,1.0140323360353671,1.2047700222729922,1.1202291237357698,0.9019314075917804,0.8942962270358974,0.878120362016753,1.7558672765054388,1.1982130892372653,1.7209746536958055,0.8798901510954829,0.9459703847395339,1.0920393525229868,1.0353626283763344,0.9240927590793241,0.7299367219236631,1.1534737249287748,0.7663007167039819,1.0540629435632245,0.7215267583942693,0.9718107460338706,0.9218762559636926,0.8275076224663833,1.1808846628993803,0.6577102976726864,0.6106987439578653,0.7444049307926315,0.9315011127900356,1.0794201228417075,1.4465736618575524,1.2856521907427843,0.9963220910266091,1.1191929702208585,1.4235926068484506,1.196254472508505,0.9527974146631936,1.2642539055209248,1.3332532778970345,0.9810743284419309,1.0997771349035037,1.278034440741077,1.1307009621116724,1.0056817266741431,1.1174042582352521,0.9615433387102927,0.9841548070324551,0.928848850604784,0.9015870317529451,0.9475148189343022,0.7722816889910934,0.749673961478446,0.7685493777462318,0.7678878223810891,0.6661558142513981,0.7213595099369873,0.9507730137125093,0.8392978000632902,0.786776556463487,0.8927379545730916,1.3669804754908703,1.091199216661396,1.078351584402181,1.3076020095649632,1.460206708739725,1.7039575454477205,1.2763460945334466,0.9788896887840345,0.8708168656386998,1.1975258595753595,1.1138654099022007,1.198669237531832,1.038693881336734,0.8041495754335636,0.6188428519267821,0.5588810955555016,0.5114540195250237,0.5552372460253543,0.5422758209144383,0.7297730858624871,1.345825445614104,0.5104717613651674,0.6428490000927974,0.7610687010069204,0.8068488810174615,0.6214664481485588,0.7211493049716364,1.1489361326839784,3.0246565903722002,4.3835974884550915,3.9080853750738638],[0.6429649483120797,0.3911962893904979,0.42562798740841484,0.38541897558769267,0.4229425761874012,0.41277337146216464,0.35090862672499673,0.4764981418236186,0.3822048095728259,0.34933983842334515,0.4035288993255025,0.6030592623311447,0.41207448952083175,0.4150760730217541,0.5851183648772654,0.5408122658889243,0.5169666844221287,0.5662959054624951,0.6848928174495847,0.5958283989427953,0.7541441250361893,0.7319744165475467,0.8743093443435854,1.2177464562938967,0.8595920774416966,0.848268050449406,0.6041859646461216,0.5146106280168024,0.4874577770337871,0.5362995253905086,0.6356375313638658,0.6818664504061649,0.8677470600961639,0.7691329013706514,0.6798728489507251,0.5927185158963013,0.5749932375210502,0.5192461210957294,0.4747681090314352,0.4644988937179524,0.7231510728583337,0.603705555011125,0.6303551642819818,0.6782996724292051,0.9772471633725779,1.7598467045195418,1.829985664618151,0.8427471323793884,1.781275338152263,2.215274404370271,1.305955539398797,1.232437894484209,0.8167533036758428,0.7781436521297773,1.0468857079247864,0.6915569522001302,0.7087891330603037,0.7114417079560675,0.7837613317367967,1.1098838322707998,0.7693480444474365,0.7759165608052623,0.7267552813416903,0.898200423843027,0.7655857243857233,0.7257365520001413,0.8937233505393941,0.6861784844449268,0.8448065139554674,0.7362100543135535,0.9104130931134636,1.3153061338443788,0.9170758262265121,1.0459031352176194,0.7622561064691472,1.3453292895098183,0.7349493739988668,0.8105763868542181,0.7044818815430466,0.6721188330814778,0.6315925215411972,0.627470221224537,1.2910385936176096,0.6339922787110533,0.5782128058210538,0.5045402674358352,0.5484368127792814,0.6800167924109825,0.6127364883493935,0.8107284232411056,0.7459722934687861,0.9108726224146649,0.817945167770372,0.8097727886088179,0.7007940736109821,0.8297785964837837,0.7025163875549347,0.7967488824785802,0.806227212098796,1.2482267276526657,0.8527906334965254,0.9527663464668555,0.7083098310163495,0.7423014194184827,0.6241045614754175,0.5483816774876689,0.6802949990685988,0.49999105409422695,0.5202780732022275,0.6230679832632128,0.47030494775711335,0.3745093725248114,0.3552984419313016,0.37447261659876574,0.3829983489045266,0.47277863606614184,0.5014531661827474,0.6263406363003513,0.7907475374060016,0.6856710804619927,0.6562085699308818,0.5169395475328661,0.5926939062403724,0.4286406097302091,0.3854161145074984,0.3893733079840275,0.4845513326165408,0.3853317413048242,0.3581722819045875,0.37308837367763215,0.4241309919039286,0.4261388583192977,0.4490211251978225,0.5031561435559614,0.5018957854840859,0.5591718652410658,0.6931479229832845,0.5694111247565493,0.5363258142742531,0.5658700002772921,0.9139673490808393,0.9099837252071659,0.711169258177798,0.5504308670797177,0.4831341323561147,0.4496266506010259,0.4102876486989689,0.3989424236819781,0.42017532276621417,0.4680624599212384,0.6718196604378338,0.8852185146201424,1.5894168079549524,2.331203920648193,1.6401625467351904,1.159331733422669,0.752346792531362,0.7604379783808967,0.579241988080798,0.6069333273860935,0.4023481797252591,0.4278507985588153,0.435777684797004,0.43161965845038847,0.4920237345240113,0.6909669465690199,0.6312880287553352,0.9534996083895125,0.9385687936610896,0.9001631325370945,0.6276669696714853,0.526241793570363,0.4264320257264683,0.40377064245698063,0.4479096246092525,0.5606819612476819,0.6007558101894186,0.7900046505711131,0.5674914779917236,0.5940330215846495,0.558639497577164,0.41719134621469645,0.3839410538840162,0.408173259440289,0.45846058268771234,0.49191214797219196,0.5213029738434993,0.9435037524131131,1.7968410293052932,1.0192247170813655,1.057381674682834,0.7933173619229097,0.954779041107927,0.9453034179570646,0.6452782935236316,0.5225529186609117,0.544355731927206,0.4718287891723242,0.49840701666327514,0.5334457673138131,0.4732004694465878,0.6029614742782979,0.487294278047564,0.48945818794518114,0.5286751878103967,0.5319285367067685,0.6008819563981357,0.5730799592429177,0.6809338864647578,0.5633074807133616,0.6476677565943674,0.695467570944923,0.6987263886098432,0.7647276368498475,0.8551686005355159,0.8914839096627941,1.140862482176485,1.0187957051634946,0.7938880244834038,0.7884455472021485,0.7852168860307563,1.6920407498197882,1.0650487247993503,1.5697713499223078,0.793588576902964,0.8132674276171933,0.9597673672150377,0.9066700338800182,0.7973055468024851,0.6051477768855139,1.0018740476938333,0.722364576733868,1.0578721053232192,0.6370842910992949,0.8749376984854702,1.0122373818609962,0.8451179131551084,1.1692108417831701,0.5782916434065644,0.5816264102086846,0.6675901630035801,0.8107949454627076,0.968598693771271,1.3011419270266738,1.1597971244201952,0.8979898759831735,1.0117778463040243,1.3132717035826615,1.1025203139623057,0.8750781476894312,1.202560534854675,1.3021879076078986,0.9283385022321248,1.0165034484693982,1.2191266237771425,1.0993071439731321,0.9292227050120336,1.0414354663306344,0.869222510334872,0.8758470959760133,0.8131637676824018,0.7666124667576513,0.8203697523292314,0.6508644547031844,0.6560753656038969,0.6685714145080524,0.6888925387499963,0.58332024585847,0.6467619923355135,0.9237218168002834,0.7984686108433985,0.7798825103453252,0.9029887888481404,1.3833262738059016,1.068276204559702,1.0381693881095357,1.2835323096897955,1.4131672545053136,1.6359150835147886,1.194304599638266,0.8899360953808071,0.7535460637153351,1.1289787448825608,1.0558898228203404,1.1701215774058948,1.0294213375565564,0.7570648219201196,0.5817883222348523,0.47046834915726865,0.4311430797511796,0.497679703781083,0.46811409054406916,0.6179928639729821,1.2969397367443403,0.43721695405169314,0.5307704522624846,0.6504373109410281,0.7133776346053905,0.5220940505099446,0.6132380366057925,1.120242386264658,3.0283494561655515,4.176784353511152,3.6384586025456533],[0.7695105124563932,0.5787107074533234,0.5781659309936034,0.5666085654595386,0.5741291723483998,0.5350131027560566,0.5386831915051933,0.6536428195030464,0.5683158614308628,0.5375720327757458,0.5697827134667764,0.7374751582666378,0.5648507383722177,0.5492153040340894,0.6688730483514248,0.6289676446859414,0.5924349455967965,0.621014257039741,0.6914257930300397,0.6400009348184886,0.7170847563273014,0.7192011137567544,0.8830821553820932,1.1671258920796574,0.867524064385061,0.8330861832707287,0.6249014527615679,0.572420881959598,0.5802666093379393,0.6170734437143949,0.6970859022176602,0.7556007628679757,0.9229602775316156,0.8296327943847726,0.7404427937111616,0.648600633467934,0.6533224413434564,0.6087580423405216,0.5443156430667517,0.5304720221278846,0.7242352584837344,0.6529839478011356,0.6632968759579508,0.720067681193673,0.9857676971830774,1.7725961650004587,1.8953995669971926,0.9100554948660264,1.828003544874625,2.3476075414262083,1.3818623188425885,1.2739599208616048,0.8353669275084215,0.7800518611681665,1.0910463012990304,0.7260999067235809,0.7423292870551288,0.7061339996856962,0.7599459752704939,1.151339012363549,0.7403887726438478,0.7836434344613507,0.737445115575908,0.9204728269312185,0.7622118222941101,0.7332726230275378,0.862431980838518,0.7147663471667214,0.8368958616851808,0.7509515309428652,0.8924406872205862,1.2648554802864271,0.9339993132407127,1.0277390719309414,0.7603980593237373,1.3532694687419744,0.7470323318766675,0.8094768611777491,0.7236959991150248,0.7029310007193609,0.6879523151745148,0.664684410712404,1.2553515904755947,0.6698737792076165,0.6675050573058394,0.5885080188153717,0.6091358265280233,0.7586637502125063,0.6478986318436685,0.8568069862267227,0.7570944915084679,0.9279504904100723,0.833981104149833,0.8539522575866675,0.7700998787180532,0.889829660027641,0.7938721273156562,0.8688408380158118,0.8897262710768417,1.3066505434808229,0.9605317200592268,1.0616092067750496,0.8308443313492816,0.8719970178813936,0.724513519246338,0.689567016090443,0.7971412816335971,0.6536607366199156,0.6821814096569535,0.7494445709489266,0.6459374886091231,0.563513126625531,0.5489073685353614,0.5191905129094638,0.5260551415768062,0.5773742752828609,0.5742713592504586,0.6470367448510825,0.8268298940937674,0.6735252337798595,0.6769438798342923,0.5967094554915874,0.6325517330483817,0.5238684566710793,0.4972031383712467,0.47551706399710675,0.6435593952908292,0.5312991308767006,0.5238729005933884,0.5264841940283813,0.5538586692340263,0.5880792067400302,0.552414407437116,0.6329779536721817,0.5930330291572573,0.6240324527824203,0.778403439656452,0.6496086011197498,0.5812940582841636,0.6124158957685294,0.8993392427153957,0.9054317943419868,0.6969511850352739,0.572968296030041,0.543813046322444,0.5399028479670837,0.5104436008217756,0.5331470810224387,0.5812468756979674,0.6578560961297186,0.8424771688290086,1.0368386999568167,1.7032623028290825,2.343854632001304,1.6770728616733757,1.2604847679389415,0.887032877072005,0.8973136028578833,0.7108873683494598,0.7679873484603289,0.5287859109241188,0.5476884359372979,0.5184717769233925,0.534827406918458,0.5621712429661753,0.7355800370814507,0.6907779046833608,1.01210512919799,0.9838937581508026,0.9472352057545038,0.6784791891460451,0.6009038397891615,0.5236197768186067,0.5439411404710764,0.5753308164511548,0.6399555734336223,0.6692944817288089,0.8073952417679833,0.6426799507459359,0.7046940066927628,0.6972912877959048,0.5656933243594287,0.5272456152709923,0.5193649053259625,0.5607414774321597,0.5608210394559376,0.5968522422265612,0.9753062223243076,1.995775565862024,1.0324604593879554,1.0961025529009178,0.8063886347582843,0.9775222977677965,0.9722071234521494,0.6938081305485563,0.5841516662755347,0.6199925221827226,0.6050223409593813,0.6159266450686114,0.6372919270677623,0.6041271507075572,0.7475140698648364,0.640480617469159,0.6022330866744706,0.6476642516365216,0.6657149888050108,0.6622424286739543,0.6607215116233233,0.8083856479135447,0.6721672215344856,0.6845079098444035,0.7632389653660481,0.8150086324871127,0.7759615523224387,0.8775137081279072,0.896696519563207,1.1471791195056067,1.0369319916940563,0.8391227996929409,0.8338826275754329,0.845851558481234,1.7480471765024168,1.0829870651978113,1.460744708644225,0.920894122306081,0.8769627673316476,0.9622844623681444,0.8894594154237065,0.840877944348636,0.701380176319812,1.0190283467150945,0.8457179343224731,1.1855921635301099,0.7457031950568164,0.8693069350308361,1.131370581340498,0.9081560389636711,1.189452172700872,0.654679550869616,0.7144005088430898,0.759888430886019,0.8796486797396736,1.0453166061763521,1.3367056674000515,1.2296000738718669,1.0006364561240972,1.079780237865637,1.3888481776826238,1.1993943650622734,0.9804994883800701,1.290003420735168,1.3973176247928227,1.0462811279766766,1.1211564853666476,1.3305877551786043,1.22582461626849,1.0349846710850372,1.1394946569698283,0.9442412392889148,0.9654796623600607,0.9299007036085193,0.8595767072314282,0.871477061870574,0.7374102819129087,0.7577346350830433,0.7661523100569243,0.7766031099253479,0.6763868574074601,0.738014285100932,1.0001420175178855,0.8520025256987694,0.8457654954589782,0.9859709185829402,1.467058375393008,1.1245010845159922,1.0810915852697278,1.3245624709871682,1.4585209326349637,1.7107053201319427,1.2133472815185316,0.9033682511953249,0.7481208296135973,1.1385027580901954,1.0766734249440768,1.2049034704797064,1.0743883695064487,0.8062600783519341,0.6842458338511992,0.5794116965221077,0.5526281325242806,0.678095138238289,0.59879410514572,0.6041124271985902,1.3810851024764443,0.5613984733526124,0.5705168887151726,0.5897692100926188,0.8324672020114549,0.553251522051142,0.6234317865668054,1.0911870898637397,2.6956334872018655,3.7722833205018675,3.193127145321923],[0.7528757027472457,0.6187588413948498,0.6726748526571017,0.668705901630698,0.7654750280132351,0.7704650582793316,0.7430854191937606,0.7407218806628046,0.7615057973805708,0.7953990687507928,0.8063363433607442,0.8554740033059755,0.8086633619172818,0.8341673345210451,0.8652259678072072,0.8444195246850752,0.8951060888219304,0.9288652636849469,0.9927826885056634,0.9514791367304752,1.0847985861221896,1.057867913970292,1.1684199506017445,1.464690355062117,1.1082063188338032,1.0875060230403577,0.9548201417134857,0.8938217797320025,0.8589546932062634,0.8192922459878966,0.8617038035995679,0.8587655207991205,0.9138477022951155,0.9256715512317387,0.8711282081878232,0.8708703424881142,0.8452128853064429,0.9012124071297245,0.8852532584710758,0.8739716250836244,1.1487226568328577,0.9200400191020714,0.9468171787518912,1.0131996761306057,1.3495312782934439,2.0508381511975466,2.202237775646052,1.2322999972796196,1.984929384386644,2.4343053357705626,1.5816052697698868,1.4062370187162665,1.1346883255846496,1.1870751346584676,1.171972569375133,0.9697135818049296,1.0182382896250801,0.9836791594287597,1.0257947517807797,1.4039546434729357,1.0588321997132975,1.0328243627385132,0.9786474548797275,1.0933425382272672,1.043746317411048,1.007009168390606,1.1273728803229248,0.978639922432237,1.1029676799184167,0.9890403089364196,1.145535759207974,1.4019252217615492,1.1097491072438044,1.2433681068384106,0.9910735829919981,1.4077852632276389,0.9499002637900651,0.9590770482039769,0.9350134944243758,0.9392218416086962,0.891528628674614,0.8712623497030132,1.3490056501783525,0.8832971354399374,0.9476439030782519,0.8285458461181403,0.878387986179124,0.8883417717245778,0.9097259361435325,1.0191686241782585,0.9324634305700696,0.9726933685923835,0.9302912471938134,0.916860161503849,0.8673545157748356,0.9324959764437296,0.9222136030634508,0.9112392208218736,0.8974946085948479,1.1892506458142968,0.8887189160487992,0.9323665030082772,0.8165565761591919,0.822406033962423,0.8080778381992358,0.763874787857616,0.8605777486484243,0.7672797966668503,0.7635147620502163,0.8350836598330784,0.7464546342811906,0.7270302099624002,0.7394032538556063,0.7752569079837656,0.7906593626207067,0.9150391915886629,0.8806261317876104,0.9910309453299295,1.1379627504635559,1.0442268364663698,1.0343980328140436,0.9054599556322712,0.9864961611308578,0.8554333408355103,0.823180497604243,0.8324708488236929,0.7730463008359082,0.7790928289589669,0.7629436839008599,0.8006670573771997,0.8682563174706114,0.834826931495078,0.9222820107969086,0.8376423296713142,0.9636198650835323,1.0326045957696859,1.0497674545457494,1.0163305926127233,0.9500586252370653,0.9920977326483401,1.21044888270499,1.2257727634940687,1.0568423258519095,0.9640143153225607,0.9125708480000372,0.8771681072295554,0.8523462883733144,0.7982272329938213,0.7667949470759812,0.7790600439697488,0.8038090599694306,0.9458754675899432,1.4267341996756553,2.201995683704681,1.5453255744158807,1.0674699697043553,0.8434669687335087,0.8402697599281885,0.770795912214956,0.7853711447813645,0.7867623296715726,0.8287708257446872,0.8877474170209715,0.8770091998777324,0.9391113817464832,1.1070872745598337,1.0942844445359388,1.3331356115691737,1.3184292010046872,1.2670480154310284,1.0603828263721569,0.9741598098817382,0.910254171215762,0.8679612850535054,0.7939957783169338,0.8056927632749974,0.8172769398279759,0.9039951287706626,0.8329297863822939,0.7823415203137554,0.8764767923317562,0.7801086135150127,0.8255193100310566,0.8773340021671638,0.9342895743719096,0.9513855967503225,0.961630542664161,1.3248457877290596,1.969490640766578,1.5114869020090547,1.5872824421145435,1.294953183338291,1.4125602068640981,1.3620869039479753,1.1135127903070972,0.9570556942010574,0.960396317653681,0.8909427323882921,0.8648660233576384,0.8034098979476018,0.7220822511254394,0.7192525174142922,0.7046655395376488,0.7424130131118506,0.7293552277594961,0.7289938917438001,0.8283271290942067,0.7731882757801848,0.7918200534581489,0.7652954588807948,0.8291262896602963,0.8372869718676562,0.8370227906090252,0.8945431714489634,0.9527067103591307,0.9896570622469784,1.2144446833288738,1.1131417671490895,0.9428597719718753,0.9170927638134881,0.9098523659850476,1.5313553970596576,1.2187997071359005,1.6888156722788725,0.9247450914089519,0.891134481103876,1.0239248016748117,0.9544145285260419,0.9693431880070488,0.7788321578463007,1.0727669910948703,0.9251610469084875,1.1966651833050037,0.903952343763516,1.1474826951881454,1.3007838982841806,1.1366827367317527,1.386264524124132,0.8761083467034204,0.8235496834533874,0.8327033566849319,0.9230768015623713,0.971768631352654,1.127729754892178,1.0211473295143274,0.875141458854932,0.9401127015826853,1.1617984353128323,0.9828467225990034,0.8741084555253898,1.1148885224185807,1.2322159260027608,0.9306384399586136,0.9895024252255274,1.1711632564897163,1.1419402249026231,0.9739727787265989,1.0427182133894917,0.9147986228638272,0.8891954477816743,0.8414945000440655,0.8137190082074168,0.8771799143106479,0.7736435489904515,0.7677195212100313,0.8203702385859578,0.8496748886939433,0.8085818858235511,0.8719578537036339,1.101301031837516,1.0119575693709921,1.042839288749638,1.1268693148272044,1.5795235655014994,1.2576592042020334,1.2061134487361422,1.4382654414727052,1.5077115281883704,1.6996959145303296,1.27526895818332,1.03559030765445,0.912326726897412,1.1972369388084054,1.17962723694998,1.292780105638667,1.2076174994420021,0.9916713108651453,0.8764684663625265,0.8152280054309137,0.8081720109290975,0.7361961241155033,0.752540522322182,0.8797218573083341,1.34180670011233,0.7764447850643277,0.7915273135406234,0.907224443829479,0.913842820953752,0.8103190250119171,0.8464412669296545,1.2120527894546371,2.9154396136574827,3.744356970995773,3.261787122641733],[0.8560057405250685,0.6277945254097907,0.5746918620102828,0.5095322574671576,0.48193087049767935,0.4761190595493077,0.3870116283045504,0.46704445897531954,0.40250223650942474,0.371724977817506,0.43891096608111757,0.5582050172313884,0.40365043927782546,0.4580905614543758,0.5593737337506103,0.4917994921575358,0.5387644885435839,0.6319067149589277,0.7282584921588814,0.6800756680791682,0.8947352588204562,0.8443566741628604,0.9529660645395365,1.3754872034079635,0.9539553701751587,0.9389198578948064,0.694779788501281,0.5972630022858861,0.5290287413668032,0.48811999186969357,0.6188955365264758,0.5617556746028604,0.6915631339286425,0.6693669372345685,0.5689419446149411,0.5561258005070685,0.5040163049801041,0.5121073607442983,0.5045795951607644,0.5272566951581436,0.884102408456406,0.6792625656482582,0.7029824787813397,0.7855355255073321,1.1406272583409498,1.7571103613198458,1.9560395725243729,1.0093477150123606,1.7098509976499583,2.220819938679332,1.3037818416819742,1.2367637034660737,0.8441840996622451,0.7870487110292232,0.9507814173628618,0.6726908781870398,0.7115647466841096,0.7277626919288858,0.8053092332232843,1.2303653259001293,0.8553020286232312,0.8037165877580578,0.7218683181000524,0.9367101767417251,0.8382550236053795,0.797478827290266,0.9327981157206514,0.7498064650132734,0.9289875954389546,0.8546154594884001,0.9640984378655154,1.3651347293182685,1.0117365966807659,1.1257512080859124,0.8134040132354184,1.3318024416725422,0.7492575176392029,0.7739152448357028,0.6384955790007525,0.644672712525869,0.5292334150788535,0.5301456027376376,1.136694165586154,0.5741940520751868,0.6444618625398472,0.4579706793409651,0.5185514283977624,0.5863284523618387,0.59319187482235,0.7304445145693353,0.6893250321140864,0.9187397938344242,0.7852272209115263,0.7301014680314158,0.6506176260842965,0.7925836828592647,0.703639802987346,0.679565475444543,0.6804329103049814,1.0636817612796283,0.689833119726172,0.801984667218285,0.5559902691858876,0.6259820028303765,0.5520146735468966,0.5060916838785866,0.6356089698896753,0.5306459243148822,0.5676660331900095,0.5782015228813565,0.484658425382066,0.3855844788371813,0.37277441332965194,0.4137689048528918,0.4121635124974777,0.5187962158357393,0.6139013835150124,0.6897087330361222,0.8433015934775414,0.7209280966033238,0.6918382392056754,0.5980965657420015,0.6545834327906682,0.49081374255614746,0.4338141967114266,0.4768641162442628,0.4894676031387568,0.4412684537782728,0.4592502463052967,0.46925495173375026,0.5911815205781277,0.5831978260423321,0.6191348752231138,0.5585872481633569,0.665580302132507,0.7283887820861521,0.8436622892731475,0.7128288757284289,0.63623604443413,0.659881611583765,0.9392722890277034,1.0061793103437295,0.7350546461471664,0.5979945765136967,0.5482391855858693,0.4660347210401437,0.43503289805654444,0.42013712753435467,0.40200093304683904,0.4529740787512196,0.5955833270315064,0.7940289264802565,1.4350861311922711,2.1299141959492474,1.4916921470158204,0.9912482194077151,0.6471324886767849,0.6340584727413252,0.46807987248247646,0.5364385074423472,0.41975708945085566,0.43356131897913625,0.5165523201937023,0.48605108771254274,0.5891617688781264,0.8098895420044043,0.8189562152673624,1.1583985656685691,1.129758430025638,1.075261868763531,0.7839568527297754,0.640386138172139,0.5509437169600903,0.47941863857324246,0.41497060370581407,0.4609938366359642,0.4804834722806561,0.7018377317317555,0.4523952515879151,0.516386240976664,0.5947258693747417,0.42229682039418387,0.47507972340667204,0.5252132055668807,0.5989449664177422,0.6133970280090323,0.6157893293871932,1.0146472186833075,1.8695116483299383,1.2330530097953354,1.371801208745485,1.0006618830752076,1.1675485035475837,1.1321143998411634,0.8484356779021293,0.7418974847760085,0.7477984591736733,0.7015900176998575,0.7024950225282517,0.6507546448267648,0.623035014620906,0.6436664729496019,0.5781421677208605,0.6704535217157728,0.6972319837312871,0.690250125270446,0.7474368377671847,0.7719803890396195,0.8426865484829839,0.759414494826688,0.8381102861770923,0.9012649169258351,0.9227606835100386,0.9306710306216605,1.0468515801994123,1.033452337304436,1.3174440916402017,1.192660358357185,1.006851623516771,0.9991236844230422,1.0088208052368026,1.648301996646685,1.2877388560221488,1.6130666857214562,1.014374941164922,0.9438116289770472,1.0259730020616775,0.9459069191167296,1.005009420992099,0.7942860319722064,1.0263046637261903,0.9575710852434154,1.2660795850874966,0.8571252063443328,1.0025698741026998,1.3245744566484114,1.0951275942788097,1.298793856165759,0.783006430369505,0.6829427220269874,0.7217279194682623,0.8307588680387387,0.9267821161262795,1.185041557555707,1.0232186432009696,0.8497510041234971,0.9795276667525998,1.2200491767498491,1.020164045696135,0.8942669649015794,1.1883595083719516,1.3174525934605505,1.0100391583156225,1.0788085489468655,1.270706554228184,1.2552492474909376,1.0798655052362311,1.1634559875534092,1.0108564274002543,0.9814372971351294,0.8902301162052204,0.8682688983437761,0.972627412678319,0.8285378789247217,0.8066665963571169,0.8982823340235859,0.9347166756448472,0.8246249730897486,0.9255134041537982,1.1955481482458847,1.0512954613410717,1.0497959261170726,1.2025788262634216,1.650070448053123,1.2862227911698667,1.2295097734465308,1.5138725495547143,1.5985659149497664,1.8288776029116345,1.3297923384811157,1.0396947993662418,0.871004080538149,1.208374477576942,1.1898464164055802,1.3349167167089295,1.2131439127463834,0.9527403560323091,0.7423724643621116,0.6258505495504122,0.5437253666336149,0.6012122550055328,0.563569747388796,0.6835385336598003,1.2009368139410124,0.5411957205774851,0.6525370685565998,0.7009903551475855,0.7269881363240744,0.6220842503382814,0.7080006214744641,1.0636909440470503,2.3974272877330476,3.2442376142785143,3.0017124038802283],[0.7249756513572608,0.5857192557212877,0.6112433737923398,0.5525451472289277,0.5991570074349664,0.5987572967209779,0.5804395612101545,0.6832692534791468,0.6054570642285076,0.5311278947404888,0.5885853026980508,0.7259647301622623,0.5647476029303126,0.5292017109790423,0.6417995845608571,0.6113386791696296,0.589008297272926,0.5841325937002995,0.6275850880896205,0.571573569387774,0.6496985539856823,0.6523548783128323,0.7903441634844797,1.1008537752161092,0.8556174152171047,0.7988354464668782,0.6128859021444233,0.5660861021137257,0.5540861305441941,0.5760275190847604,0.6285571942796379,0.7112663345739045,0.7955609869373873,0.7390600271334888,0.6814683769572696,0.5950088911336189,0.6511872652261217,0.5668556804216531,0.5435099762472979,0.531191078950789,0.6934359494553773,0.632641168125869,0.642187856833412,0.7049969319499666,0.9760762837989184,1.7199526614286642,1.879105081996955,0.9113563990141123,1.7465311722880792,2.343733892314428,1.3393049556799834,1.1888459307965893,0.833667216801436,0.733486862809425,1.013012486851191,0.6739601758072182,0.6888628790775025,0.6690574678416557,0.7550659593649538,1.1306416088980102,0.6958909899298895,0.7454767355661288,0.6645460860779484,0.8198180045012181,0.6718372384362207,0.6557092740998839,0.7889272576623173,0.643607525301325,0.7327557690039754,0.6944564075394892,0.8395267705135426,1.1960871883876099,0.8655670999443879,0.9327604699823772,0.6738409633953129,1.1826063489869334,0.6683724840987915,0.7013021789481048,0.6321120426275044,0.626773742603404,0.633978243752763,0.5892392854188412,1.2018349537009128,0.6413036124058121,0.6882703284794365,0.584303463640376,0.5588036576598142,0.6819931673968541,0.5866841276675826,0.765165004763586,0.6766018412458932,0.7990873989710228,0.7086106992709567,0.7394224296294168,0.6901432797515491,0.8041931936272786,0.7647978198392084,0.799956977889017,0.831609686210356,1.1963653581769933,0.8720299575636097,0.9854262403023512,0.7801719157769054,0.8174298668556405,0.7586219808649609,0.6588894416591282,0.7884970043984237,0.661774812388647,0.6717218510746993,0.7258473333418505,0.6387883810016177,0.5816098033664253,0.5728467938728857,0.5492239946234534,0.5196169538160361,0.538581323813266,0.5691135454728189,0.6218404136193172,0.7601055293828625,0.6648566066453874,0.6297141589258576,0.5610866431324028,0.6066161783773146,0.514221574987482,0.5500482921953772,0.5890127402313298,0.6687959580780909,0.5843772686378583,0.5894966967555039,0.5939440224192524,0.6326746616452861,0.6489348454548021,0.6546560371085601,0.6626003694532545,0.6896940753457708,0.7266157689967198,0.865238482367887,0.7343716428755673,0.618847161817372,0.6300329979874687,0.8670411927392984,0.8917649978722172,0.6692825012544078,0.5750650456492401,0.5489836740127224,0.5359960256207298,0.5169435975406919,0.5665338704206623,0.5806927021301891,0.6543460241669979,0.779136307514591,0.9615907629503272,1.5717058509812478,2.1972958242825227,1.562568455860635,1.1516439267007166,0.8316221151771749,0.8291617054376756,0.6764946925989014,0.7294088519223646,0.5518371382482063,0.5693148039823802,0.5599399511962442,0.5574995773345505,0.5554324544630261,0.752375384932906,0.7647774969048661,1.0774469157466537,1.067503048351915,1.0229607631186062,0.7686169925665316,0.6654710595619726,0.5812786227822285,0.5985929439491283,0.584381285206818,0.6401865704710902,0.6690609229545706,0.7885192041604039,0.6347303044844382,0.6393742581569298,0.7806752936853922,0.6049647268355324,0.6041814877807427,0.6136747598898502,0.6388163587942394,0.6142188336511321,0.6321298061077387,0.9925109222068109,2.0171145313896446,1.123050869449973,1.2451458449906332,0.9058039405963911,1.0990458737211781,1.0980969365123545,0.8481525675082082,0.7284493465013038,0.7266083196998345,0.706190819853616,0.6905300056463062,0.6739213423842203,0.6305835749228302,0.7018688829978296,0.6257987368162516,0.6568477245909647,0.6809191254531377,0.6892257595410848,0.7365187051561373,0.7175788134457377,0.8117407034483046,0.7181504815818773,0.77853747202682,0.8100973696630899,0.8445810418509707,0.846043177273222,0.9303885425769838,0.96515739439975,1.2060846625788983,1.098346198574902,0.8971464968114049,0.8771725643275325,0.8868827260796183,1.5413569668852976,1.2156845645115737,1.6269112870474245,0.8741637000141276,0.8731070803000325,1.027520638429729,0.9515422327699895,0.9796218189143521,0.7644290391646145,1.0627602992105056,0.9040775617615279,1.2095243725892106,0.8310167741262183,0.9379102734410054,1.2259707794831542,1.0196611291470468,1.2315097176496124,0.7409795863612534,0.6836151523480397,0.7340815783031486,0.8574326714969492,1.0017784106149221,1.2542310552705085,1.1188830588537633,0.9316124614039563,1.0173704469037956,1.25673146225355,1.0888172275981263,0.9274326588510818,1.2159853944871493,1.342002920480312,1.0237119473672864,1.0807289646420943,1.2768043030601615,1.2405693825263155,1.038014633553143,1.1183085326879456,0.9434619696643253,0.9297177187919046,0.8943647789256935,0.8351845390586553,0.8872917903080847,0.753998501600127,0.7712208936129735,0.7880230489126773,0.8163469976986104,0.7451351276134299,0.8275054194199774,1.08902990755143,0.9794654316026772,0.9899631831102373,1.122416899382702,1.5770657302436994,1.2346192929794966,1.190535951571924,1.437088091657257,1.5593750994773095,1.7722529895571009,1.3121848523718083,1.0043986083865268,0.8570536485399196,1.2249923542812393,1.1877032929770686,1.3190945748552076,1.171163398902926,0.917357350589864,0.7389160189057652,0.648890429944306,0.6249570026494515,0.6383828961946804,0.6276441267680216,0.7028433551962736,1.2495877978371772,0.6172011442248522,0.6638266196619718,0.7137997035395129,0.8348049104983933,0.6389962203443543,0.7037146941836998,1.0791424000093033,2.383240559910356,3.272542714273266,2.9828778582612756],[0.5345326156981605,0.4051462095011482,0.4564748972194338,0.38160071335056067,0.4393923802131552,0.4109943529328424,0.3404312707144097,0.44438036199351966,0.3830929491843231,0.3609922380915123,0.4246634816748202,0.5691596224673944,0.39966869988909176,0.40534223218200244,0.5404094884499442,0.49399473214158524,0.4776507335186123,0.5142808217859717,0.5972061282584588,0.5244499673268865,0.6246396162514656,0.6155960470392191,0.7976913486741936,1.1022264040454057,0.8191047132716087,0.7753683599985881,0.5585139488014286,0.4874753880761978,0.4600697333625527,0.4606963898856617,0.5479463924731212,0.5926073637035273,0.7174456927855277,0.6564676206099211,0.5715464609690986,0.5014230762543397,0.5111509855235833,0.4794691783416834,0.42745664074783696,0.41613631475099183,0.6479277733985285,0.5674070350702177,0.5837641277500866,0.6475009941145109,0.9463854619791534,1.7253731972691426,1.8417357865393804,0.8703669242138444,1.7751846561107938,2.3026123857011624,1.3110634848589762,1.1887921018780523,0.7815124868275577,0.6967168529557948,0.9767128588902864,0.6049512722782744,0.6285379124510969,0.6153430980883122,0.6969350435195291,1.0979729991925147,0.6622774249859074,0.6840388040948711,0.6119923120705366,0.8160047449039494,0.6622500015420569,0.6204574058592922,0.781099346311127,0.6016300867348647,0.744399525671983,0.6631876991161546,0.8345649546187903,1.2063098392772733,0.8548131971289125,0.9341932109360929,0.6588369730580729,1.23917726426764,0.6213996041160592,0.6631562533560423,0.5695725999720593,0.5518537986481553,0.5272755789772403,0.5093910828638049,1.1705921307312142,0.5183845493017587,0.5596726180033947,0.43546984060906996,0.4631826421624576,0.5899240249107778,0.5070547112341531,0.6986239623017931,0.6157864605308793,0.7930585520930694,0.6835164277762068,0.6884121965079132,0.6150778128024968,0.7481334774608774,0.6877402582058779,0.6980408689680383,0.7059832776522914,1.0989450121972186,0.73878717029069,0.8225657529118441,0.6013005987862269,0.6296696068910301,0.5247743045544633,0.4805841929031313,0.5985839656573755,0.4364487627041611,0.4492578416560727,0.528930747632667,0.39935895375886477,0.3419542169896819,0.34243739137128276,0.36431539425978293,0.36211575715369915,0.4596819981134429,0.4812219420797351,0.5688913650604275,0.7427980282343928,0.6144090646636525,0.5924382587242051,0.5042059385975666,0.552937019540953,0.4155027184193501,0.38012910093401575,0.4042536295963195,0.4713905177263031,0.3819921236670736,0.35933673870739957,0.37355990572517,0.4619246546268088,0.451149865066993,0.48074895558889413,0.4813978299027992,0.5390563602134387,0.596325637889983,0.7278096658592494,0.5960368808038113,0.5176985292643386,0.5375663899840196,0.8440063767850984,0.845009010281933,0.6290274113196127,0.505556406968724,0.45487300917990126,0.4209529956840318,0.38686060062616084,0.3864323741636511,0.3674411302727482,0.4392622075319903,0.5970346187057405,0.8049399580135914,1.4464859407775594,2.166725212669795,1.5171503727506346,1.0183259802162825,0.6656494461945346,0.6561624787525788,0.4924430751051031,0.5302711069870969,0.35401849259658874,0.3952450424772521,0.42010776035576486,0.40868450908179066,0.4632737841126996,0.6748114786025196,0.6514038692597887,0.9783933712248146,0.9670439836990719,0.921805738392042,0.6523856996241464,0.5374073552418084,0.438172498929487,0.4092929049670554,0.3928743098671207,0.4506850996174419,0.49871356285257273,0.6713971366443167,0.4683037412006427,0.49908723669123845,0.5807207455422063,0.3735352015817551,0.38334527881570835,0.4081577466832409,0.4735379801639442,0.4774157088614687,0.5105682088447416,0.9402440646796825,1.9372074872241576,1.0480701815437736,1.1282395356013384,0.8249041467917377,0.9998058543218752,0.9921906530375308,0.6855356694365186,0.5780525889383399,0.5904009396855067,0.54633286739704,0.5582606964725865,0.555618806003044,0.47789039505911757,0.5395609124805709,0.4652731187052889,0.5357446192851899,0.5543805649738082,0.5462416604388022,0.6634246559921564,0.6390152257901113,0.6858817629795051,0.6202628551876461,0.7171758570815372,0.7524899659878245,0.7481783230623855,0.8118302511895715,0.9158488940990037,0.9473054484457802,1.1805574222855628,1.0691059782105694,0.8542598433923101,0.8456695899667172,0.8394919848942686,1.5554851854908744,1.13908221356651,1.6537744523979907,0.7671258967538507,0.7855590856593774,0.9356060177275966,0.8722461280659292,0.8617610173722571,0.6224586387534203,0.9780606080579061,0.7598788143069938,1.08515781212525,0.6839557399797016,0.9041052012637399,1.0930023564136393,0.9231618699390182,1.2167331950576565,0.6440992142238523,0.5765072581445354,0.6119508885397128,0.7488340786409617,0.8633937427399792,1.146169488542924,0.986039254233231,0.7740432903064453,0.8824487288647446,1.1395150715145794,0.9500366617509727,0.7893195454208682,1.087879161004191,1.2029495707349562,0.8766144809742189,0.9505328256926686,1.1384837239992602,1.0887284754135647,0.9325669622602774,1.0165437880980275,0.854940825824238,0.8306784374120627,0.7603951835955306,0.7190476176882227,0.8221448873576718,0.6729873171431272,0.6572954501317713,0.7025132546372602,0.7366596671717084,0.6448078384530277,0.7182336776604844,0.9861166191888615,0.8775384922992923,0.8718285015972537,0.9861959948258042,1.449558237166242,1.1383538201179322,1.100841168034551,1.3396803176573866,1.461740594519383,1.6592223603631213,1.2416869322712267,0.9492118844820169,0.8108957256813849,1.1599536611973589,1.1061080623438215,1.2187754373512352,1.07008049585276,0.8350254183910233,0.6312028035867345,0.5184130157071365,0.4679258370453292,0.487866537022742,0.4262959554056671,0.6064019812743351,1.2028282542765025,0.41527560276151376,0.544100522931321,0.6469355172509917,0.6363035538724758,0.5465374256985852,0.638973423581545,1.0516498169328294,2.8794201531425845,3.7575783944509498,3.2440874279437284],[0.6179733075882291,0.3548528565447109,0.42851379695584363,0.37407269170839963,0.3954581257609492,0.35204353051711873,0.34016285542588537,0.516690044642815,0.39719541932208796,0.3507065770657131,0.4353081930200795,0.6336810368612749,0.43580276741884494,0.38758369568128165,0.5847410455728047,0.540740492148635,0.46880844445179437,0.5092444590457117,0.5554250344655542,0.504237144350334,0.6184805424453407,0.6032345415785814,0.7408112550802868,1.0455563040403477,0.7091313726489803,0.6986859891164122,0.4783770893685412,0.41830305013124025,0.45259001066632126,0.5281311491856194,0.6189007130093136,0.699782563363088,0.8519604887064077,0.7807905890581325,0.6929690653009052,0.5571591674002481,0.5938527157099293,0.46704134698478944,0.3996225586905401,0.40605910881666074,0.5958892863806542,0.5045621251039821,0.5217509971492872,0.5347989533724005,0.8073931318790226,1.6421344598987018,1.6844502525364318,0.7271007405077107,1.7290922367443196,2.2336390159327415,1.2133614590908943,1.2406805017179336,0.7724432031768682,0.6273584338237338,1.080108944884009,0.6241859653392204,0.5937366851588846,0.6436140247148534,0.7231705840147499,1.0186936196850485,0.6375240388801348,0.7047527082472972,0.6556140520680653,0.8420928014302801,0.6504242697840122,0.6338995104880432,0.7879289132612632,0.6182209871340428,0.732411319534206,0.682008380619452,0.8500248731346748,1.2791360108426881,0.8933233068350527,0.9572906035760226,0.6764549186040971,1.2842725547593477,0.6680190343975018,0.7627171667004958,0.6433077309814919,0.6248370274130582,0.6258608730870541,0.6258405143931207,1.2836714112916858,0.6542949239874445,0.5385688188595935,0.502632466149989,0.49678954044669305,0.680326770374092,0.5599891670751709,0.8030135568978375,0.7014966108978733,0.8666547969335687,0.7664675096651413,0.7924082783992824,0.7015092744415888,0.8131237402052046,0.7428715548653227,0.8160306887072571,0.8286070857380562,1.2677479375032237,0.8952672728580227,1.0127588421213152,0.7762959962284248,0.8181085570420348,0.6942662281691873,0.6342186526669843,0.753337026955003,0.5359278776474321,0.5531463282498871,0.6525268595712431,0.5250901330995658,0.4205486331935634,0.3721291773204966,0.3685505669152717,0.36724243714375593,0.3900103798745614,0.4112799694168313,0.47603888278033873,0.6471079378326592,0.5393862952125031,0.5121151716279957,0.44389934936367875,0.48100097030314537,0.3498772751596654,0.33401921759366987,0.3234634451135441,0.46939606041840704,0.38454068801319496,0.3472116844408064,0.3911408399203533,0.35785133938388125,0.39761649449187714,0.3812925214000565,0.5456467251136426,0.4423845372977675,0.49254322550529017,0.6615835384253111,0.47957116243799186,0.4348475155482544,0.45430013315204465,0.7727444185382834,0.7598206285089552,0.5340705730227131,0.4082989304618158,0.36320525926784797,0.3955334309082426,0.34630430124895983,0.4125523821093199,0.44669880518728944,0.5134515765631091,0.7317504052224659,0.9272158905197477,1.657063009399234,2.335632919364203,1.651356610480877,1.2090470451359887,0.8080400663117462,0.8302463595291197,0.6412322310976989,0.6713687094915313,0.4096471402566638,0.42347360193365796,0.348912553131834,0.36643017531567207,0.41004565424316103,0.6003284821475409,0.5264290510113856,0.8346082167099493,0.8325495734498813,0.8051374170344396,0.5247934076327595,0.4373188251447882,0.37672708340205324,0.3973722543522839,0.46805973168224,0.6139494252494472,0.6388341099981694,0.829992089546084,0.6002489676997076,0.6670732117802132,0.5737973024751503,0.4741671340270775,0.4183162763220389,0.38273720930980537,0.4036229221101868,0.42200708513784707,0.4518501582462494,0.8187033596604186,1.8588750691972753,0.8494248855284445,0.8819371469486523,0.651890683774725,0.8159022648011252,0.8405377067315353,0.5410454824068505,0.43417159625016843,0.4423442160371882,0.4074059894034466,0.4451111882324601,0.518535355556483,0.4829788597280832,0.6450686014225829,0.5154533270540563,0.4806931486884487,0.5402148709781732,0.5461942082390142,0.5702878349556302,0.5496469857584183,0.6781438210071005,0.5506387759047652,0.6337635919468976,0.6757897044697514,0.6759922754465969,0.7712028916854243,0.8541203120177024,0.8822638441916004,1.1246661428577955,0.9956902511421162,0.7719569435453112,0.7624516278377856,0.754290389965059,1.6999979914241037,1.0517392894285045,1.5842694532373136,0.7933963601393643,0.8196704035965895,0.9673874041010618,0.8946119518499296,0.8006455369157284,0.5929816929501671,0.9872187979195896,0.695069255671484,1.0486391989382509,0.6057517563773134,0.8400240563606566,0.9571156199423934,0.7773282359937493,1.160954793282813,0.567523336490494,0.6076363244997589,0.6638940204927398,0.8081614750330456,0.9906970139349661,1.3266709791342919,1.1842231608240001,0.9218144997221793,1.0314842912175686,1.3332760020690435,1.1271673686580017,0.8988548617971109,1.220678785515452,1.3233728248650063,0.9384944463039203,1.0103093910889918,1.2078383831312018,1.0913905297080195,0.9109017419255576,1.0203119244356729,0.8510406039436945,0.8642951813727431,0.8224969563899069,0.763228083743048,0.803115499729814,0.632181781683812,0.644848151474144,0.6450594019730368,0.658533873196936,0.5452735571107015,0.6075016497383685,0.8667385785949944,0.7441555100301773,0.7188538405669428,0.8349647721644428,1.3256307853727085,1.001185447028872,0.9835811363520971,1.208948818769112,1.3674757771882857,1.6326104667362655,1.1694770548795486,0.8610434519409322,0.7345085313064185,1.0959353766334263,1.017530329877091,1.109284313308293,0.9448201653760944,0.70881225807311,0.539230189876103,0.43469858377955717,0.3941179688686928,0.5057864651600702,0.4970648681876971,0.5904757082473585,1.3320759765039654,0.4596552670491845,0.5205760475515353,0.5959198316141364,0.7570980196886472,0.4852428945428322,0.5880124705721854,1.0614978052625432,2.9548856942939348,4.107157734224427,3.55475910854264],[0.619862399598037,0.39660101666223047,0.44374230813924626,0.40553059121155943,0.44085022618123815,0.44908378459727266,0.36407898983361153,0.46252239472549683,0.39813458297866616,0.37773117819443786,0.39903843863296945,0.5633863369217457,0.39782709228342483,0.41091235521029246,0.5563843529755588,0.5119564961299286,0.4940998437702525,0.5695449307504774,0.6848816242008884,0.6111664378241005,0.7791573211593389,0.7400525064257769,0.8789091663896526,1.274523019262536,0.866503103971299,0.8687992510699829,0.6140870843842527,0.5256594933576402,0.49264735698592627,0.5113745328532845,0.590171835741215,0.6113114304907824,0.7659145291086286,0.6793035856542854,0.6051455860522559,0.5522761712869392,0.5192855292982756,0.5221755601244722,0.4893266368733345,0.4894813209756604,0.7879085813339937,0.6153855829243134,0.6267757390650587,0.6834470663602719,0.9840154656354336,1.7448103098568555,1.8039877397506443,0.8782507990248771,1.7642062682136561,2.1723316312563083,1.2854899800288717,1.2484119009817274,0.8025290970275708,0.781062668453168,1.0047187157669872,0.684146467954861,0.708091345196402,0.7112256121815339,0.7958086460748274,1.1497815987769293,0.7875096607164309,0.7668404799685236,0.6939513830357236,0.9524565433586133,0.7744829186886744,0.729734073045566,0.8740346804576936,0.6808180269162679,0.8686653890578393,0.7424855722064065,0.9374209918487991,1.3359380842160544,0.90298432916575,1.0336381991091184,0.7226313806164364,1.2828144691783008,0.6944582337186591,0.7434388955095684,0.6441277034518509,0.6306106226578295,0.5917284639604339,0.6244999369120088,1.2104258680060007,0.6315380437437459,0.6180275070153507,0.4853966088223188,0.5506590907411114,0.6220647684573143,0.5799529115238357,0.7468563126529261,0.672312845640141,0.8262857995621825,0.7376647589700381,0.7293650322055654,0.6302525852252302,0.7539857016335035,0.6686124742699298,0.7138470344977416,0.7133761035560096,1.147061552303113,0.751421488547325,0.8582021977419417,0.6422468272754441,0.6939635764622342,0.5969257435591371,0.5503232330939551,0.655513303787447,0.47230479909390183,0.49866627413287357,0.6048171072464698,0.4489987187844924,0.3835168616031959,0.37108176307371654,0.4126395589440183,0.4126162475074909,0.4802555005990541,0.527764156451382,0.6255779263307145,0.8090709363844248,0.6810229903667985,0.6533876572427619,0.5360791651416488,0.59348526619668,0.4374637520201859,0.4052968049847486,0.41821461832593304,0.47106077174188826,0.41909113950696814,0.38182663411685847,0.42550114756128443,0.4779303890194871,0.4728566628339618,0.5050601486659796,0.5334545243640709,0.569536130031423,0.6241696765042346,0.7109122536500734,0.5823012517396668,0.5511814690749061,0.5897989393013526,0.90484862942744,0.902056161373178,0.7049934384235695,0.5646793336857858,0.5057363381197019,0.45186281729708344,0.42786641040379264,0.4124502793451769,0.41427870103992237,0.4517211861350154,0.6223915915960845,0.833230583673563,1.4795677673186258,2.270033875580385,1.58911227015202,1.0659321812966567,0.6879293593739809,0.6991535564819414,0.5256591362169809,0.5729483993808194,0.42208461545083764,0.43593462483463974,0.46785924203328677,0.45014316855451847,0.5410056801456379,0.7107704026994338,0.6686383202611954,0.9647338038367738,0.9434278204113793,0.9105674180449015,0.6552299175097392,0.5497612791472749,0.4868156102008763,0.43565109337433167,0.4478105586272861,0.5143030814888998,0.5489138084656514,0.7401523769728424,0.5222039133952544,0.5861418885743118,0.5456675192011352,0.42375881087353084,0.4075873024529735,0.43734931174622005,0.49977289171567857,0.5139119611534949,0.5380718000464075,0.9502625485957457,1.7401965532002643,1.025522266244508,1.074342593586604,0.8278007454817013,0.9793076406654512,0.9777738051799111,0.6812284328615228,0.5520089641120912,0.5659883435056084,0.5004351813555117,0.5144427878541407,0.5701640803901179,0.48840296869992,0.5798712114752329,0.4994573755836829,0.5155497666757618,0.5473299976453111,0.5469894439219506,0.6162598251668484,0.5928693351009706,0.6697734901281245,0.593189629547724,0.6746219235032408,0.7024462145992462,0.7052189650323735,0.7931090606105624,0.8606354562852936,0.8845361871290622,1.144743515129639,0.9715073873318706,0.7782578644162838,0.7684288368921229,0.7555503480427085,1.6663411752122157,1.0013065536258303,1.5960666103371266,0.7953339614005027,0.787655880935642,0.9279215048939519,0.8749994954628484,0.799739210587965,0.594310156803001,0.9646103829786095,0.7050360756718115,1.0229543418720015,0.6272073179377888,0.9294644617495644,0.9939964703630934,0.8641564883693743,1.2186911837577468,0.5998661708354577,0.6000228350839466,0.6774432382284513,0.8012774810604719,0.9479876063688744,1.2231325238565423,1.0801608328855952,0.8560755781136469,0.9421203318885255,1.2059721401686379,1.0190482702668797,0.8344556368248832,1.1160315831469654,1.2100483058528648,0.8803831007259834,0.9533896212973444,1.1429510151410076,1.0570126960311697,0.904407088248314,0.9868436889015871,0.8379113368663047,0.8384212887425778,0.7855859673903837,0.735156555823917,0.7896725298452592,0.6517469339640636,0.6630339167307489,0.6640416431080923,0.6892722642828173,0.5957434279413105,0.6530110932099454,0.9095594833099906,0.7897990715939195,0.7729115721637869,0.8755014215685272,1.3529506313746842,1.0369326605638205,1.004784567677743,1.2267662598066813,1.3505012004972377,1.5795708054729065,1.1484571049193728,0.8672053986843855,0.7554619785003267,1.0829948596075958,1.0195489901371406,1.1168768123071744,0.9811327769957344,0.7495932869599083,0.6055345961870386,0.49741076815746754,0.4580653650920473,0.5079886020334116,0.46971386301212564,0.6376547704899387,1.2404208754779609,0.45331788468897416,0.5694944808885675,0.6915803241710882,0.6384897222316251,0.5820249396073235,0.6802296885688396,1.2561269926508218,3.244819959757253,4.260010570480109,3.798622162701033],[0.5964066606253255,0.37213890142938794,0.45875998574541965,0.3544706497060423,0.4107071475089362,0.38607057887859597,0.29197641028886423,0.4617025157738723,0.3388393529928067,0.30602447578311276,0.3748572428615582,0.5925634597058955,0.3868688250697404,0.3613653252173164,0.5816173179210266,0.5264714392378586,0.46390571009709985,0.5393376340943936,0.5998638671831993,0.5373072784182705,0.6713468877395135,0.650693702222664,0.7430542050351091,1.0404666924988173,0.7068530643620278,0.7140943134135518,0.5138640059025417,0.44899833696334385,0.4649254121941582,0.5368225028778956,0.637205626564043,0.6984277902080761,0.8768231272696345,0.8041026322486882,0.7178170814401296,0.5943821477125656,0.5986802410133242,0.48148389970019895,0.430746715146672,0.4403769574023795,0.6490193016640754,0.5298098789167546,0.5499569282983165,0.5423401094696929,0.8063272223618263,1.636118369738446,1.5918100484043445,0.7249740822716876,1.722876762758223,2.1227888189778876,1.1670927804123918,1.246307674289938,0.7787005107855202,0.6469836533767531,1.1088813021811403,0.6767995979678686,0.6262260727238957,0.7022556876087623,0.8129102435311626,1.0121051793583564,0.700585746920025,0.763400008422163,0.6930874245961657,0.8876799279504957,0.688452906690169,0.6903847399570383,0.8282229620832721,0.6399092528295862,0.7931782558450818,0.6907895301299312,0.9241466985741743,1.385317207643245,0.8929253750328597,0.9606434137270319,0.6876853345319774,1.3025038729517109,0.6944023937406791,0.7942774364685643,0.6928816383743289,0.664586464078862,0.6737397721663118,0.7019278612883956,1.3552229266911642,0.7530303709805369,0.535669593600094,0.5302687987811288,0.5391196940663495,0.7178314856375733,0.6100532636948214,0.8311053005549174,0.7267580504863359,0.8981599549431947,0.7955433718940897,0.8178902713824299,0.7093327325784258,0.8174526205470659,0.7291342934005481,0.7948868099602521,0.7966175882647887,1.241403419607382,0.864588145935864,0.9646068328286177,0.7545028228346736,0.7820012598611453,0.6785520709844377,0.6200237269914985,0.7423811210900362,0.5179119004590472,0.5251503919277042,0.6459717225361314,0.4731807672025754,0.386441268098705,0.3469602208487387,0.3633053253132878,0.3481751460768457,0.39315094352184543,0.4267851448647756,0.48572085522562236,0.6612068886509808,0.5606565636594029,0.5153497007473201,0.41145703657519306,0.49078661299146037,0.36412363137592163,0.3437234625485931,0.3334006227787827,0.47048017553472293,0.3669626081542226,0.32858500841828064,0.39107402939984476,0.37909469483329766,0.40186560164175533,0.3799396685210162,0.5425451997797632,0.44899160623072915,0.4804845725407388,0.6322626805644216,0.45577329243778714,0.4417738203558897,0.45309406932421675,0.7682458892200346,0.741746600371307,0.5373795405981495,0.42228073556515094,0.3731593601239591,0.3839229638030675,0.3401202832885864,0.37833040883660624,0.4249644561301455,0.45683668670244293,0.6781792139310895,0.8537698880134929,1.5654142605408539,2.3027615486963735,1.5903779858480829,1.1512114088746257,0.7560959905796512,0.775338874647699,0.6039110853866764,0.6417733238099114,0.3877120956698765,0.39734089918932064,0.34254375934127235,0.34907591399006693,0.4616014179216367,0.5635464221896344,0.5078675497254218,0.7791919757939499,0.7848048928169944,0.7669295690726036,0.508736176690511,0.41804693224859907,0.37690891633116586,0.38302708424511267,0.4551291503477954,0.6159044141890252,0.635661476012876,0.8585952359964586,0.6103910091373028,0.698891777717379,0.506476430994736,0.45726337758807745,0.40860550516528593,0.36264183631654245,0.3971997142305813,0.43509309729741613,0.4331261489820954,0.813020189535123,1.711380144550469,0.7898898755503302,0.7995006804028951,0.6353652528767614,0.770713947338656,0.8120344878788341,0.5250049303748178,0.45671677651601406,0.4685273110524805,0.4153816353243887,0.45262950687724385,0.5116903972650375,0.48634553880718623,0.6075051693981075,0.487100904921668,0.49314810614258686,0.5349491230337905,0.5241656709420663,0.6044743041555622,0.5841922951497989,0.6469142369803583,0.5891572764107967,0.6986334276007605,0.7222265901635903,0.7021210626446098,0.8807563391329103,0.9517264654234086,0.9455879663063163,1.1825650019118983,1.0258055379410862,0.808690247997654,0.8019712506823784,0.7683039106852195,1.7807753103881656,1.0204838122620188,1.6366012341018306,0.7894252621335196,0.8059138811909209,0.942570084323854,0.9150535657822074,0.7875070407580286,0.619186175271238,1.0512449415190794,0.6838008708223257,1.0042539838869162,0.6162337055439117,0.9290065745480409,0.8414111287110386,0.7532768346854161,1.1402732604640218,0.5545993925728699,0.5883490335431957,0.6933318976341404,0.8456130318662436,0.9803588230332427,1.3045617027229846,1.1662095830228358,0.9006339139107552,0.9873486039870988,1.270959682944121,1.067575246268251,0.8283150857337446,1.119318574376641,1.1889346135339915,0.8454406212697829,0.9415368840166123,1.1186951742303959,0.9987277788929224,0.8855303228182385,0.9727385614588561,0.8409923911787034,0.845648227467612,0.7851612963182035,0.7533444442196804,0.8095657137981209,0.6506769071865186,0.6406291967144747,0.6595386518909395,0.6840058490477664,0.5701567200424864,0.6201521729350081,0.8506463648300175,0.7502663156968274,0.6992079944772155,0.7924400312948391,1.280671351093089,0.9826502545027284,0.979062687940503,1.189119151760441,1.3291758162738978,1.608293865213413,1.1743776105652353,0.8915325597402083,0.7938485282482963,1.109980247257122,1.015974619312428,1.0764672520210672,0.9265874559025358,0.6998745562974771,0.5385008341023618,0.4490769210566411,0.4145783264304777,0.47818604596696657,0.46364340603056,0.6778105526124584,1.2979394616235638,0.4383505069863798,0.5929469374631877,0.7486421166213267,0.7173159734222394,0.5826839099793379,0.7423466062075261,1.3950059623057225,3.3888643720356333,4.62468046300736,4.278408963715004],[0.6797588389444862,0.47630593055065895,0.5436742244139283,0.4923278475998871,0.5078493930726936,0.48842110288765017,0.4334420133300468,0.49774013815237733,0.4375173717207409,0.4594185388082884,0.49527465271167104,0.641202990924327,0.5086614591867322,0.5228911615878163,0.6647857934518028,0.6353993236467885,0.6050785246783253,0.6837126735744156,0.7881232103724131,0.6987389802537033,0.8517258029666214,0.8160485694030654,0.9602339101601398,1.2509259733523488,0.8975293219289413,0.9025392835168073,0.6985712147865021,0.6146377572883124,0.6055702587358884,0.656094043752208,0.7375513049047254,0.7738303660415206,0.9509465684271893,0.8844226149442905,0.7971773082889296,0.7045740596220726,0.6897430717195085,0.6332846317052864,0.6031950832782211,0.6042842479046443,0.8137955958892078,0.6940251367053498,0.7321193890552554,0.7211834226509567,0.9380488716328103,1.7353643103687333,1.6618036754825682,0.8601536566240727,1.7799615576008454,2.0951677868804834,1.29380101561641,1.312419319947103,0.896909193601043,0.8499138578384449,1.181384617211065,0.8308553544576263,0.8179993328093089,0.8519445931726456,0.9505775714888501,1.1629432020231123,0.8525088116534054,0.8653442410411761,0.8227000084112126,1.0564924387438093,0.8555114767616001,0.8330850616178981,0.9857516953410922,0.7794245929847208,0.9277682564718954,0.8037076300888027,1.0134836001534555,1.4581509261251242,0.9514693171027376,1.0867309912918002,0.818531245064678,1.4262486747821757,0.834174314908078,0.9191449254830307,0.8176726886095289,0.8023372269434834,0.7806831704476576,0.798820214426533,1.4102343962758346,0.825078569351643,0.6951946833050106,0.651067278683098,0.6893720350245525,0.7885610241289409,0.736895264448409,0.9303472885799157,0.8564766122862932,1.0196904504879654,0.9171193928329879,0.9144929775675419,0.791644849151376,0.8942926470177369,0.7762060192394905,0.8554500191081497,0.8311305724004302,1.2499155972421812,0.8780119489621556,0.9212665757333683,0.7784227096384247,0.775373584385924,0.7195689800392264,0.6541723893965067,0.7853727979277454,0.5431819935527478,0.5404607928079346,0.7006240974359678,0.4979894098076512,0.4707735592664848,0.43432280328884026,0.5012320570584912,0.5128853994867396,0.5797199662088399,0.6023413839823285,0.674827445603356,0.8285356066998466,0.7190401733529386,0.6855225458379,0.592679153837211,0.6550322156790492,0.5483281736934078,0.48959251146937216,0.48552343735657494,0.5585430345523287,0.502586756020715,0.4466235717931725,0.5017882476774357,0.4893834914186179,0.5066865550345582,0.5103184056977578,0.600642590505239,0.5830270497887943,0.5947911398400659,0.672986616209344,0.5897088784436427,0.5680049314845304,0.6136319505783204,0.9227616744958019,0.9318644769911089,0.7372123816763996,0.6203580562617608,0.5734057951071347,0.5641267103006739,0.5205300277970303,0.5126148732276319,0.511687516718479,0.510771555070371,0.6505549156114294,0.832419364467712,1.461354150916161,2.288736486324003,1.5873601454421247,1.1177476949575555,0.7486415833351496,0.738322228625422,0.6393220453754727,0.6225179822115667,0.5120191697252279,0.5136198157152555,0.5341638105831169,0.5288279781954908,0.628398890689263,0.7229532606448185,0.6688395042525604,0.9011334682393698,0.876025863560517,0.8737377903615331,0.6424977692613941,0.5623326225139161,0.5224877795603109,0.5089078285154671,0.5500301981509241,0.6598919444012284,0.6762206438894977,0.8904886798188072,0.6702786160111287,0.7510863378406943,0.5855331380754093,0.5245799047335222,0.5039113624958504,0.5105693568578953,0.5637639031487609,0.5703332092893078,0.5991484277582797,1.002250653947955,1.6509146910825485,0.9490681311951452,0.9406996521968674,0.7807896004567995,0.885159156047238,0.9036445724434642,0.6448095978481729,0.5347647190331654,0.5607687092457233,0.5081644034511786,0.5405623355507052,0.5690674229430046,0.5264941676557939,0.6183073434727908,0.5262649972693094,0.550371089130632,0.5717724801912856,0.5642590887391518,0.6560485018173695,0.6273604964668608,0.6519194729941392,0.6311511672261182,0.726660060483597,0.7461556287411967,0.7312169806974831,0.9123543447046648,0.9567969993837471,0.9513340235993937,1.1980807761341588,1.023202681658314,0.8098997663794008,0.8108589437019762,0.7831867584437521,1.7373562277405312,1.0175179268884595,1.6675737432346114,0.8268903291752988,0.812281343933362,0.9216865916530496,0.9058694769461342,0.784817415871041,0.6394857916068973,1.0654135383049215,0.7159449588360993,0.991813469447336,0.6608055675782489,0.9975003319367716,0.8602912842446933,0.8184261869853894,1.1972033604427286,0.6241146730356141,0.618198832526525,0.7394297167265809,0.8762807997961358,0.9859681578783509,1.2878433581710746,1.1483214152410717,0.9097277454534914,0.9645243263758297,1.2368184883322575,1.0271959737583611,0.8151640453664675,1.0746501614111958,1.1328317366977316,0.8206368208383054,0.908184946369398,1.078633404603414,0.9799662987795967,0.882263763281337,0.9558142012113758,0.8255593652142491,0.8188025170061862,0.7687343621229135,0.7395549760337055,0.7835932436984245,0.6548454418924629,0.6429661797054154,0.6659234313664736,0.6969539176085432,0.6102642409534437,0.6662230982532694,0.8689422927424979,0.7816148622464266,0.7420761196492593,0.829851499020832,1.3163488963141934,1.0112881218488559,0.9932002168884534,1.206360027326546,1.350768377194319,1.553884326812612,1.1678929321223361,0.9055919618088577,0.8113791390856891,1.1181966205094995,1.0267279443018396,1.0826570497729262,0.9591686355737473,0.7204286700981759,0.6027423491254137,0.5157468289916952,0.502263826720701,0.5222020615185918,0.5041560060987053,0.7491436825319734,1.3014488588620172,0.49517549267733746,0.6719759847919383,0.8705561171036552,0.6991520560918627,0.6715403067806026,0.8194860016579887,1.59424338459011,3.580400870686202,4.7674635978656275,4.567340187054825],[0.6428253473912593,0.42128042001892274,0.4997549036032687,0.3741916117376911,0.40687842935722185,0.4145281214066596,0.34180108666633663,0.49212628190346475,0.3817034525359767,0.36072092118269533,0.4260270046787978,0.6445144030751513,0.47235426213483284,0.42479426869940123,0.6420822746184897,0.6255787234170721,0.5388042523883281,0.6221699535722359,0.6842893421164993,0.6247359895576071,0.7425933387236139,0.725753835877668,0.8608209738206146,1.0812393029350575,0.7338842422631715,0.7503629340214096,0.5871978442831703,0.5209337504507797,0.5610250157104121,0.643984264510727,0.744994859481396,0.8091341570829095,1.005743600975126,0.9291634357772879,0.8401065066168611,0.7120683742478782,0.7080190056988346,0.5885898792575367,0.5448324854799277,0.5703911257917172,0.6925375808040027,0.6403683666482108,0.6809702913428082,0.6381231668861375,0.8071559392576915,1.6639047691043398,1.5325504598387165,0.7573396071083621,1.7892445092169986,2.0845636465178066,1.238102480189122,1.301638762260878,0.8900121686702586,0.7772037433838969,1.2676885503860196,0.8489568242873634,0.7729116190053529,0.8649944977203564,0.9560480247070188,1.0339694325189561,0.7827062217254486,0.8693967373362748,0.8178487852708456,0.9998409824380973,0.7856122024530962,0.7770715068988281,0.9280429362645191,0.7240209467936047,0.838027984396778,0.7404649306834583,0.9539156077587637,1.4387145372357475,0.932312437628792,1.0184445445226242,0.7786286583107561,1.3818195524924572,0.8017977589806212,0.92207823859406,0.8253464604426096,0.802829063792789,0.8135499863707251,0.8335050074659358,1.4705824527597235,0.8939816979423884,0.6655826621922163,0.6629123318488059,0.6743807610784682,0.8312272741205181,0.7335614625580577,0.95784599666092,0.8498269149480401,1.0083777265890046,0.9088766062183934,0.9384239495776938,0.8118462591134886,0.9048249988032505,0.7939699927560976,0.8834167698864066,0.8670463597425462,1.3089837355976621,0.9430350218533397,0.9888101948355628,0.8513318157467852,0.8422227568411723,0.7801904517506292,0.6599779071661908,0.7805620876880501,0.5472658202566193,0.5415938855672304,0.6967773119790701,0.49939196328942503,0.4301546975668363,0.38307885175329265,0.42918991582529725,0.4222732054618729,0.43601788082096093,0.4677099989212288,0.49509815425325193,0.6776533809919235,0.5969657893670933,0.5378714685565107,0.45452626360528847,0.4907728843901657,0.3853435408680716,0.3668187964937771,0.35491063467028494,0.5338258730545787,0.4359250621747214,0.40191778752173196,0.4573396450552578,0.3820473605870031,0.4396764209011799,0.4088871084267421,0.6067169722695092,0.46930145777173804,0.48000913603001694,0.610090788796949,0.42927243155919115,0.4230685900399666,0.44677677323500153,0.7405227931664067,0.7292446472951629,0.563176117414562,0.45639590846971967,0.45527377601591507,0.4823545239736981,0.4265341710375265,0.47289529667591534,0.5051003153476074,0.5055553063116335,0.6984314735330583,0.8602408021927163,1.5116192051733675,2.3031796593493263,1.6001955918293909,1.167730762934121,0.7979366057767189,0.8092919275394985,0.6904626174783567,0.6961107750420323,0.4838538512253839,0.5113677994916379,0.4152745956358116,0.47000936779917557,0.5338559199096773,0.5303273374121418,0.4908555965156644,0.6806667154313488,0.6906623632928096,0.6749602562050815,0.502081802933561,0.43137781410024373,0.4294036848309386,0.46517272551309585,0.5723449567215371,0.7201747149500045,0.7396920561436765,0.9760175063980517,0.7457685360367244,0.8167460898279172,0.5963251021252626,0.5566258264156002,0.5181765027620693,0.4730494169785274,0.47011909130537055,0.5247434189514669,0.5256962771321935,0.8752653369581247,1.6199914197765435,0.744653268093477,0.708603522342762,0.6167546793804023,0.729875011750459,0.7752261505547292,0.5036786598777365,0.43394455642692514,0.45189931854725884,0.4153507352908956,0.4467019926270643,0.5184768517615147,0.501869244816224,0.6021949603366383,0.498190154568068,0.49096879069261656,0.5207319013305354,0.5146369520061355,0.6209619116115256,0.5620793766694208,0.6157790965643754,0.5935952533538243,0.7057425787001552,0.7389624153513247,0.7285073485568325,0.9365203991871026,0.9739751100059779,0.9374591080302361,1.1890534647231394,0.971042971089191,0.7690448122375347,0.7925314673945544,0.7469227651246563,1.8117181808715568,0.9477546106352361,1.6532734847653172,0.8085637297326628,0.8009394190114764,0.9415812928053194,0.9367952278856941,0.746168882083165,0.6163579044271787,1.040145937839064,0.6875807909277993,0.979589240630588,0.6047220549705651,0.9861128231524806,0.7694495209831301,0.727406318740249,1.154612604586389,0.5667603974216608,0.6080074531215491,0.7531002731923802,0.8805578350244936,1.0037691460406115,1.30613068566852,1.1812704965807992,0.9177928891777175,0.971665091977513,1.2251518549359977,1.025118666534189,0.7946086283964241,1.057541904779135,1.1003709110674604,0.7795930317932243,0.8857873039704113,1.0698070009347689,0.9703569585032163,0.8562560323462839,0.9317278376081605,0.8069733388423049,0.8071607967506678,0.7430725942153048,0.718062555202849,0.7767333424808085,0.6180814159208067,0.613042994201637,0.6139017245883288,0.6385550023707215,0.5356633049374298,0.5848630480996839,0.783321836686907,0.6787523088107181,0.6420506820843991,0.7030379580608073,1.1817472089389827,0.8848844938624832,0.8780177068295705,1.081688196782915,1.2217857106114525,1.4617951610618347,1.0834698208968965,0.8486044167280821,0.7784723905274431,1.0480394918033218,0.942693641843454,0.9767465574795444,0.8749410886434487,0.6662788809509914,0.5311385355972397,0.44749569795972094,0.42614486070162133,0.4946907532345374,0.47232572052609856,0.7398771337775664,1.302736711994142,0.46309664131385064,0.6762872331137558,0.9337515725375957,0.6981479356468419,0.6704769048337094,0.9067461067895575,1.8354198993410968,3.775590910314553,5.0338162208561865,5.056265689647484],[0.8494941956681376,0.6915748206766306,0.8149162022813546,0.6179371382297247,0.689438864114551,0.7522872418196057,0.6796378639523241,0.7706962327661336,0.6889776332178427,0.6303937937705207,0.6203328676431678,0.7517340564816689,0.6385195940897317,0.5800416122880855,0.7100131908891629,0.7235859927704246,0.6432617686032955,0.6889522977988785,0.7808085325433664,0.7042996377368981,0.8070112705571458,0.8238340101594334,0.9213756348483674,1.2066625944393234,0.7961394043591492,0.8224580326622529,0.679923184337861,0.6300492889196886,0.6576286704983305,0.742554888977217,0.8063422688338948,0.8994530242011755,1.0737973816680884,0.9924887486575921,0.9136946977118857,0.7886265545277936,0.818678415276813,0.6920111057861812,0.6706417518779435,0.7084372750891491,0.7671678873302815,0.7166621199864158,0.7665198400571736,0.7172874015239964,0.8380125775628474,1.6720602951602366,1.4902472350302463,0.8462507749284566,1.8006368672471358,2.0383337985085994,1.3149901181095867,1.3453926740303142,1.0380735486993893,0.9270543996003193,1.3551399939863977,0.9718689741142862,0.9137823825401826,0.9572714707541482,1.0307635602255427,1.0712809224328332,0.8466803927031078,0.9387081076101421,0.8971758608616992,1.1152162626338709,0.8663481380752571,0.8276661835062957,0.9665474457142139,0.7680103210206314,0.890744753593528,0.7749835259518079,0.9995766425109948,1.5008081110124798,0.9588673925608354,1.0432224929381348,0.8197523399860279,1.432867214510949,0.8743523550327408,0.9956001126281638,0.909485777437467,0.8988695908313319,0.9090193083422955,0.9170321558553053,1.5068214673523452,1.0385655775238172,0.7903252389076212,0.7685928078078695,0.7677398224571095,0.9209899169169562,0.8071418745748129,1.0285067463966266,0.9157857845171578,1.0519347336392741,0.9510845694983169,0.9857120494767736,0.8555314483441675,0.9223300285420134,0.8388720173322829,0.955328179798534,0.9604947551043009,1.3978735162544529,1.043642070242685,1.1031128665727217,0.9595193679187028,0.9871246307154621,0.9724295420972232,0.8245286482888257,0.9711461875805758,0.776754880447455,0.7568832636871035,0.882309721265393,0.7258460595311889,0.6536589772500039,0.6533760728627488,0.6324128933714356,0.6239322325080846,0.640099415459808,0.6268485568840473,0.6553785504073906,0.7886879364501733,0.6998907012533822,0.6552227424219338,0.6135527638446079,0.63603796949323,0.5869665390688247,0.5862689095320238,0.5924178901664606,0.7246907003167,0.6526613027783799,0.6674613323618808,0.7152684636703569,0.6744323697896734,0.7310741864610264,0.6647832632621679,0.7968780432209603,0.6793763295735478,0.6728290675329347,0.7457922623042607,0.6049051130341281,0.5978390908293224,0.6290346793194687,0.8642323069511529,0.872870724701305,0.7443246704725569,0.6472696887909256,0.6209825866349373,0.6408083632289697,0.6178374252475767,0.6524316264579146,0.6839284173356576,0.6983411959487191,0.8448291713015927,0.9451696244863478,1.4896727068420057,2.2485697006504735,1.5842293084833683,1.2223860700646285,0.8954687720410768,0.92172392359801,0.8108180125395651,0.8300458443636848,0.6865467413023276,0.6814579926059859,0.6108377323331451,0.6511085591384682,0.6770381145535185,0.7237081049352246,0.6631662961524809,0.8285995833949692,0.8271313655045862,0.8276789762313006,0.685341466246277,0.6260844377420886,0.6226212045313019,0.6684788438228705,0.7665978402290482,0.8570424111655018,0.8601532425006532,1.0812073113289329,0.8988265442668243,0.9424389287330146,0.7741558622578066,0.7458738664916571,0.720562502616669,0.6962848650902915,0.6923277243369278,0.7275671716412205,0.7096794316816178,1.0839355026528863,1.6196200279861068,0.8765639723811101,0.8424188927207404,0.7682864707902952,0.8662502349357909,0.8794236057805936,0.7015481967603057,0.6811216698225632,0.698175944635682,0.7243753727065496,0.7441005066129485,0.8016304361259357,0.8058918012864793,0.8894167009936409,0.7945833887517121,0.7945977140342796,0.839264438578413,0.8363581493020427,0.9068496808554588,0.8852273892559422,0.9322007752114452,0.9287900535826076,1.0198450972430078,1.0753231322377677,1.0788755044818652,1.2377828610594719,1.2628887363524328,1.2060126198066268,1.4439134220206895,1.2117826522808148,1.0415217887583217,1.091358839194525,1.0595357195168487,1.8829801339294745,1.2547405385778072,1.9709920516703285,1.1287981797471953,1.0829738610411266,1.1637638246651643,1.1682002150096482,0.9536463749340391,0.9132227815265054,1.256001771741792,0.9997825131977195,1.2345003360687066,0.9025264046995363,1.1733926376716284,0.9806389251692857,0.9490464047145172,1.1990956680659783,0.804775591431437,0.8482015547294718,1.0181303566466833,1.178708896388394,1.2685752869646445,1.5698282893927549,1.397076264212045,1.1885601085158564,1.2394299303121619,1.4441025187757712,1.2471511621648965,1.0458622825161772,1.2745022324773863,1.290939225517543,1.0352736386794417,1.1434421247965387,1.3156472623399251,1.2407539212449974,1.131830138964694,1.2144670610454575,1.1052175028896654,1.0955751813946037,1.026785087261401,1.0113557596572735,1.0668724921489436,0.9330415208593531,0.9459484620474209,0.9382324123227599,0.9495138540369832,0.8449304179146053,0.8939723088178453,1.0422266139390681,0.9227374222949771,0.8864035001092958,0.9648441978141195,1.3347142142912265,1.0774716982574637,1.077578387523847,1.2439035152145654,1.3701970616133563,1.5773705408939716,1.2581852478411801,1.0831692788044154,1.0305776226281729,1.225438785220992,1.1034581575039524,1.1177075748112286,1.0122744813298274,0.8949928483440793,0.7776557073101343,0.7295759373143377,0.7120721656563288,0.780460302241338,0.7660996449630727,1.0384792309670265,1.3503098012445907,0.7693079665989291,0.9994324110365175,1.2595216447629982,0.8766494131772481,0.9805157277333182,1.2622184131840424,2.2439977932554096,4.075095861180412,5.409695574362385,5.653546319181467],[0.7747330067772943,0.5869919249335896,0.6678214476430477,0.4787143974737613,0.5023649882050414,0.5972560801409919,0.4716170869119586,0.5537169336157935,0.47948184044598224,0.43466909389952463,0.4512811460836126,0.6509088065475126,0.49367442188735344,0.4508501905133502,0.6317301921192696,0.6389928075332718,0.5521745875643418,0.6398695942857681,0.7425208462577088,0.6657344946372128,0.7872084880284094,0.7948572505519655,0.9106216485552648,1.143718091816479,0.7590665377409322,0.7728801968873794,0.6173361189491432,0.5433844783453572,0.5844044283430845,0.6611210065494755,0.760384873642804,0.8209737558980699,1.023772040275178,0.9404282865031462,0.8599346023030895,0.7434700427043294,0.739301357658112,0.6223238606326018,0.5904275197536613,0.6223085762433994,0.7346738311828283,0.6781626851405868,0.7301229667210859,0.6737020556942691,0.8148885301116342,1.665446573580031,1.47962005791805,0.8051068467593816,1.7876438331611713,2.0126893196495703,1.267234314092641,1.3302514535593681,0.9577125252902609,0.8373791216625238,1.3244928597259011,0.9176272391776774,0.848397680252864,0.925483305471683,1.006362827495028,1.066316552224016,0.8364911665938799,0.9317077405773159,0.8869676860240622,1.0866675078202093,0.857011712358175,0.8190058031713213,0.9673900292293075,0.7632910012815409,0.8782853778942408,0.7686503353610898,0.991895108730723,1.5073563107098533,0.961058141692255,1.0420128009579994,0.8151210112378674,1.4149796311550198,0.8539703903627378,0.9672427407340469,0.869008057117325,0.851844922022888,0.8505832827756517,0.8679737937689411,1.4740911629385238,0.9569242458803757,0.7023823556467415,0.6942146192079901,0.7117511173460374,0.8455135016892981,0.7637330728120053,0.9844949582750879,0.8856665859141238,1.044385165330015,0.9350604280809683,0.9531940996674685,0.8107236347102772,0.8980712722623796,0.7855709936166876,0.8812189710750745,0.8533358557894493,1.2768612979473737,0.9193368412918962,0.9470007654774483,0.8442078160656279,0.8499094535748963,0.8154053640822899,0.680012007377156,0.7672933575960562,0.5956397284488517,0.575802475538321,0.6976894572926795,0.5458974085721926,0.47178776527684463,0.464044094942449,0.4808993423423116,0.4592989036052227,0.4816215911438845,0.49855832140713685,0.5273464195057713,0.7284606497263884,0.6162647996787145,0.5657995104374601,0.4956346460189624,0.5153992030130594,0.43489292927613954,0.430509520691149,0.42166618737077427,0.5964375207803084,0.5098185211444539,0.5026149078810445,0.5259562701270876,0.47252371985837816,0.5196993788941293,0.4856474034424651,0.6342242833827048,0.5161469957485159,0.5141990791834482,0.6295196903676024,0.4661995300956332,0.4663443506010468,0.4913372596521706,0.7326559248736897,0.7323116276067647,0.6074023010630385,0.5076131966981975,0.5019602224778446,0.5259026633994964,0.4712564136550398,0.5062851812295004,0.5340199564140988,0.531040050887116,0.6809861927874956,0.8148948770715725,1.3622124844940662,2.2029725990446503,1.5157198729904138,1.104294429648196,0.7683795882069957,0.7956843580454771,0.7070687801061706,0.7087537558253704,0.5406657322779588,0.5415315052513985,0.4648796676557541,0.5184719417912886,0.5765101718644964,0.5936282953310126,0.5334049572724191,0.6877892948416019,0.6819611339997991,0.6783094722530896,0.5368601084705693,0.4783795053666275,0.48186152470679966,0.5169359001269135,0.6165236355848268,0.7282944571101557,0.7475562606349274,0.9467402029058267,0.7756896906224413,0.8142124284376753,0.6258864481924005,0.5964604081541943,0.5694875749679902,0.5401804339129495,0.5324733836643256,0.5903490906866062,0.5895880635590661,0.9212769034809285,1.5599094153356674,0.7633309513954676,0.73415052997188,0.6787769461900013,0.7350121489051752,0.7612666107330981,0.5490262180139537,0.5346432550016141,0.5331657058877838,0.5270365819133236,0.5661311800734099,0.6244216763900416,0.6110170893727244,0.6724327705533214,0.5921597434786482,0.6117080726616808,0.6471434464624437,0.6573313151430429,0.744883355408966,0.724197357298308,0.7798507253189471,0.7894583242802362,0.876318403714517,0.9307756521424869,0.9491296121214547,1.096445492568167,1.127253884129773,1.0691125635155398,1.3071703355612871,1.0511382214118812,0.9057094419703032,0.9652683150060609,0.9075413907389053,1.8948632344297254,1.073785479997658,1.7865728837796508,0.9653142239391864,0.8931789409407994,0.9934247831080545,1.0045235329883804,0.7859745069319064,0.7133388705711879,1.0754106871032982,0.8061009331220483,1.0557757667269108,0.7043282610965845,1.0972401500292106,0.8296005856469874,0.8207271567495942,1.1867206534175163,0.6550928486078139,0.675080674404419,0.8327835174602999,0.9785318333859298,1.0431289951033496,1.3149690886316798,1.1670630459827065,0.9664321289385722,1.0238436593959301,1.233236856169942,1.0275891677617701,0.8464861680915495,1.0761555459904835,1.1000941036348366,0.8822951392856044,0.9957388444402409,1.1731102129987188,1.1622166990005578,1.0360527215101918,1.0867200662523984,0.9580314345299723,0.928204463972943,0.8328854521009519,0.8255014346534275,0.900696097201958,0.7705455454558138,0.7701456188177146,0.7658723383418268,0.7925938875501642,0.6923145185793848,0.7439760379362031,0.866724984879507,0.7751130825084898,0.7590064835918509,0.8087593523204576,1.206212427320292,0.9491956941131617,0.935064293976538,1.1020899694648936,1.2230408993572095,1.4175619472932057,1.1044178977395953,0.9376923300254664,0.8908610553099038,1.0956530872217938,0.9680551165946486,0.976527271639032,0.901007819547702,0.7386492217028972,0.6254328873723194,0.5602223808489689,0.5290606149597181,0.6119273454004752,0.5928399651452428,0.9148504378926225,1.3216812582017672,0.6062707606008323,0.8750179062640365,1.1945178923121824,0.7367685540209153,0.866847653234454,1.1605371380705838,2.2652374960596244,4.0687189906309875,5.27267769375405,5.586919170767597],[0.6435947472354995,0.41476341642824466,0.4979002431744147,0.34616429407761334,0.3714683413959642,0.4399199109354333,0.2980418852916516,0.39667177833469114,0.30126368930005987,0.2762212967341327,0.3127398707253003,0.559903578451476,0.37688382871203996,0.34491876269151034,0.5365001546201631,0.5446472972796826,0.4625693989424443,0.5804345267905398,0.6951735026729082,0.6077616215110765,0.7670993771502798,0.7400089524550109,0.8996959667205114,1.161358941951239,0.7401869691706611,0.7482784610720667,0.5661160141439453,0.48028790179715247,0.5065855384713814,0.565158244941802,0.681462890633814,0.7186402808376577,0.9368308639032801,0.8470757925625462,0.7525743499152704,0.6555513066891702,0.6273979954422451,0.5310558024797098,0.4991613830531754,0.5257785713180949,0.6932018058120705,0.5987737358990255,0.6605235063204804,0.6164299129636771,0.8015210600575031,1.6760676614371768,1.5126279810627699,0.7584252549286713,1.7848899643396476,1.9889813271010495,1.2524675508761487,1.259201166235316,0.8494602630574694,0.7597528558920176,1.2067137909443186,0.806723788834533,0.7539707216402642,0.8346606838880489,0.9264723561888533,1.0457977229996474,0.7856806202882184,0.837993059624397,0.791484941144159,1.012036111110233,0.7964096970879877,0.7620289065666492,0.9275945889760303,0.7064204829825614,0.8578793965436083,0.7211887655467317,0.9681460021349736,1.4637472122975441,0.9330754706102897,1.0473036990208773,0.7599735436218399,1.37645455673669,0.7774688116659632,0.8855758614507726,0.7754640077599636,0.7531189944195309,0.7432102248001118,0.7732505848728697,1.4210664283652874,0.8164280277423009,0.608448308734465,0.5903792503233511,0.6254588188302134,0.7376567671899542,0.6802134358956242,0.8975855562774371,0.8043060441047951,0.9825523905917232,0.8699807547591762,0.8776232398405938,0.7408897095703179,0.8472226573451627,0.7168165557843841,0.8031009890744396,0.7661017243289021,1.1865990167249707,0.8019292040320445,0.8176458501398932,0.7372022437371979,0.7230567280799967,0.6755303742389116,0.5593892906339324,0.6768309681508451,0.4439782932319582,0.4197308719149263,0.605994219352862,0.3846600532363055,0.3321348015580384,0.30922567261900386,0.37813599120875774,0.3699731385385214,0.40518957722002225,0.44491769004078013,0.4934349215998505,0.70329160417809,0.5700631084388132,0.523695256733524,0.4351127449761608,0.49100679669856473,0.36716594295978666,0.3245812611006205,0.34304144173589884,0.4776352892700553,0.38540189704140865,0.3377450202112736,0.3823927089899591,0.3589721568094397,0.40602663085576135,0.37616585237126643,0.5220042221679706,0.4529761589243297,0.4491025477412055,0.572631403311167,0.4378290920447893,0.41600933225254944,0.4334678165512359,0.7316650976670422,0.7430492889377496,0.5702452258620518,0.45430507753275223,0.42072645139078246,0.4270600813662598,0.3722007521628366,0.3927024970122193,0.4089960179076739,0.4002439088182131,0.5701802048678968,0.7662377647455115,1.282153355716453,2.1885873057122516,1.5308974494182714,1.0184790104011425,0.6680315531142034,0.6802393110393656,0.5941029231444579,0.5695294586051101,0.419501139514881,0.4315082914420286,0.3869172959905776,0.41877485573360346,0.5042134428545391,0.53665450447436,0.47637681445787533,0.6635739578380889,0.647447907789949,0.6409435141364449,0.47152077363212164,0.4145839182848306,0.4011875101397007,0.4037618789565747,0.49118162860710723,0.6063159836303125,0.6220491365562179,0.8468759755682501,0.6446301953871766,0.6818185153436275,0.5155590428854414,0.4550299102791186,0.4266506890030357,0.4238381458629691,0.4416008781121327,0.48864051292314226,0.4858580940051171,0.8708313021036258,1.4856726852379594,0.743433033008177,0.7143392753343824,0.6453010956024934,0.7312946654899639,0.7608972164398725,0.5088732244660337,0.45096361775166055,0.46037073497256553,0.40158287440216356,0.42397465978419474,0.49945639668196096,0.4364376830507835,0.49467745869713353,0.4276170539843076,0.45869926161872504,0.4685192939323908,0.4868422577222693,0.5850354609368449,0.5566398761811426,0.5932154118401883,0.6090070080839185,0.6924875685165889,0.7343665352988713,0.7617789399989952,0.9151268769853368,0.9313769839254751,0.8860541457139247,1.1588467463122172,0.8846876824417129,0.7278018687382611,0.7655512204489351,0.693330976958276,1.7778311261348603,0.862535223187495,1.6420244735744776,0.7853889761024943,0.6869173386393884,0.7905449321598171,0.8179581243317922,0.6126859277061889,0.4979591239644053,0.9276266016365673,0.6356097031934277,0.9036824556214703,0.5088292081230084,0.9902282247771226,0.7125649391545502,0.7118994594749033,1.1693803641736855,0.5012991075510458,0.5563818561258709,0.6634271477927552,0.7985647650612515,0.8943275487300263,1.1247549672282202,1.0042890258740336,0.7893558723374992,0.8244841652283823,1.0403103129345108,0.8500526074337019,0.6808199806556401,0.9153448888396445,0.9572811543429395,0.7200487238361757,0.8230243235483717,1.0085703203482437,1.03024839136315,0.8543307625238337,0.8914797894391712,0.7621930724034749,0.7299748882605648,0.6496492652361653,0.6383637488405393,0.7070334014392672,0.5756201689250678,0.5719640726141454,0.5630704444699484,0.6012892223101761,0.5026154885257551,0.5497557504801943,0.7245496558285651,0.6411247443986691,0.6138647952718553,0.6680588273448363,1.147504355517716,0.8820099063859262,0.8426589690049531,1.0523843044603187,1.1333857628426638,1.320908639101978,0.9914498915308532,0.8033219189227114,0.7471785917399254,0.9989194671440015,0.8610870728333604,0.8813951195733069,0.8193903135743623,0.6086688260347806,0.507725796546109,0.4213105869370288,0.387435540791993,0.4466351272245717,0.4564861879146854,0.799912115896579,1.287410929482737,0.4677920344937289,0.739942652288309,1.1151002455925867,0.621792962981447,0.7371135477857179,1.0040904529059966,2.1946221695865433,4.011053904982041,5.075233175987843,5.36888037499086],[0.6168156797249678,0.3898295960107794,0.46932639209922117,0.3451285483016592,0.3601348262428404,0.41303064096586517,0.27335754244614785,0.35630759629048725,0.27035036224319453,0.2624399784739651,0.29913150481702233,0.5312338970234022,0.3540729673587561,0.33577697837774206,0.531147449572109,0.5113246725737915,0.45064218967802466,0.5511687463260091,0.6494239031481063,0.5640945004319742,0.6976925180906849,0.6808140787088939,0.8109660644719405,1.0759373928411855,0.7055408271240216,0.7191209311938103,0.5416198015980463,0.4603552982734289,0.48011501620955355,0.532025518951826,0.6332833545197478,0.6536796129948863,0.8396298712735416,0.7535186022449871,0.6769443604893153,0.6001622933634065,0.5777218314980537,0.5003016197421606,0.47413984027627104,0.4907387968410547,0.6627545436344405,0.5671001185122145,0.6127406494890463,0.5830847806125472,0.7655341785640156,1.630512665370362,1.4797627916697762,0.7256694775920038,1.7689132990600505,2.0265469342852893,1.2255333362493144,1.2453793350366318,0.8159196275409274,0.7293335767160793,1.1537490493501696,0.742137320199692,0.7006984774312115,0.7649448249391605,0.849772976737793,1.02160734590234,0.7336949777790961,0.7662411340660387,0.7020629273643695,0.9023225778528162,0.7178087572681118,0.7054397111242778,0.8675796473561264,0.6580925965668308,0.7998655240279373,0.6914254079169733,0.9448381626907059,1.4236045187211528,0.9152491055362214,0.974010811894243,0.6982888324060484,1.305107065397872,0.703075049425248,0.7868102377250543,0.6837170350447077,0.6719187871838025,0.6568529645426341,0.7093604276518455,1.3673053189203177,0.7538845867252701,0.5861260056496451,0.547152463232248,0.5728366466557189,0.6732390388081348,0.6156369252127365,0.8100059793977058,0.7246971676241901,0.8982881680073141,0.7848917640093848,0.7832468588947592,0.6835009475307237,0.7918105510259407,0.6823764037906173,0.7346533540464961,0.7013485734688708,1.087263032006638,0.7208488263493213,0.7301817758163928,0.6690404566295538,0.6522920485535448,0.6056509296247377,0.5025789380435479,0.6180319747160593,0.3922440739376904,0.38529620877236076,0.5684099065062307,0.3412141313503297,0.29931830343221494,0.2854143057158181,0.36870895249762103,0.36054078415139695,0.3899760614104785,0.4201284013545259,0.4533878676149348,0.6397667890852917,0.5426263709801193,0.4852313764025762,0.40798063835022486,0.45933057222727425,0.35126348199716634,0.3142629255026884,0.3266804480138705,0.4677499083010788,0.3693571632445189,0.31003020390964575,0.3556316015643109,0.3434693784734919,0.37838095034455826,0.36039072003498895,0.4991437142822118,0.43925958060570786,0.43609185933322114,0.55630893967997,0.4183831877762439,0.4049795624325477,0.41905262583951697,0.7100057102472227,0.7023716723907847,0.5287112576056151,0.42014040571544325,0.3948164138746441,0.4113675524197822,0.3550447640750554,0.3715549879561745,0.3831029167944934,0.37023288941538574,0.5257854587963147,0.7260992372912896,1.2078687595633106,2.09556061819187,1.5142522269541079,0.9426985397640132,0.6177612143965172,0.6209269735969444,0.5367968701483212,0.5249419301764616,0.39193985380792856,0.40919455358898527,0.36785149498559844,0.39576547817891516,0.48534319251840574,0.52515901729222,0.4572856423265316,0.6485759354819656,0.6268795280958859,0.6254355079719804,0.4547276778871497,0.39971879397022037,0.378601127597512,0.3802722699796563,0.45664424384128754,0.5587850296967493,0.5807583951952004,0.803168342331596,0.6006723573345243,0.6299906021683749,0.491796808801989,0.4189256468054726,0.39522360791381494,0.3974465862624263,0.4222377743429245,0.4687443376024619,0.4725810458439716,0.8670609038586949,1.5429306651165893,0.7363099312118441,0.7030675190436779,0.6294815069064543,0.7181249439608934,0.7488889532825006,0.4947770881030344,0.43852178415021625,0.4472748668173209,0.37699101285443215,0.39485823016752164,0.4650469420412742,0.38729258561175167,0.44265475821972183,0.3789271903806692,0.41473513123040945,0.43004084244323604,0.45223397352835615,0.5525170915610494,0.5172685896547652,0.5572365019298033,0.5787438837497606,0.6547911848860671,0.6950920089400934,0.736262067909145,0.8868907905803862,0.8810134063254824,0.833453879294605,1.115242676690587,0.8165519338348332,0.6727952003140805,0.7073236813715494,0.6305154489202618,1.7361783384115255,0.7923170986559405,1.6195851822591751,0.7458431984554751,0.636615109520727,0.7388107650058569,0.7834911301178283,0.5711469518153832,0.4520473310617896,0.8943243686517295,0.6126613103971332,0.8758090625914583,0.4712620890981596,0.9749397722626185,0.6865143553540062,0.685118201778333,1.1574215432776578,0.4637796045395645,0.5380746090110932,0.6438370077909122,0.7688383112071352,0.8651248561730487,1.0697320627064126,0.9515045135295276,0.7582598933164667,0.7812869732213024,1.001748225360295,0.805617355950479,0.6475449109922121,0.8784724824403782,0.9298077030445411,0.6831634532598474,0.7824261773648902,0.9780360822956067,1.0435941892767262,0.8164694351231824,0.8475966994374119,0.7099458592761709,0.6835066976082398,0.6105942790637238,0.59478590223884,0.6551506251946374,0.533119710810537,0.5278796742770091,0.5130255410676574,0.5499401465407662,0.4505459525577163,0.5040176040047858,0.6730704082957639,0.5907964482103264,0.5684522837771321,0.6270680762021392,1.1076413186546779,0.8444850560815162,0.7951046089903393,1.013197676925207,1.0784324414247117,1.2405086122138262,0.9282532025206721,0.7481235932084201,0.7017351465621454,0.9526663929295804,0.8143989212045439,0.8274819019459003,0.7851792680524233,0.5717038511150792,0.48105353011908136,0.3946548299997757,0.3700536516881387,0.41300110899062065,0.40853985806527454,0.7645428119122321,1.2317503707097877,0.4424443975922702,0.7134433241759505,1.117413882451176,0.5895335890009163,0.7208090680537313,0.992021989175395,2.269650056234458,4.014687806121155,4.921356393505871,5.283705488577855],[0.6649847465579698,0.45362602278792824,0.5416303637902573,0.4124066935837853,0.4295461314403457,0.4796875991649319,0.38420226467181073,0.4944194059035628,0.4076656802098063,0.3613986152160519,0.39938200132180723,0.655640004974252,0.45818680528446415,0.3985713503787956,0.5957505939859838,0.6164867100924603,0.5195423658441439,0.6316878394967149,0.7373545893058984,0.6502052558229077,0.7865376920566406,0.7758246063982883,0.8951084167351127,1.1307923144281955,0.7628751053456024,0.770345444362306,0.6166036941836618,0.5429902458952198,0.5741311043245041,0.633184241778155,0.712236757993752,0.7471188964740997,0.928495445012762,0.8342994172431917,0.7670490792259023,0.6986252058313337,0.679380535927754,0.5989244361078168,0.5684847697370529,0.5908470910639982,0.7219515805811704,0.6461047556862531,0.690700912734083,0.6601859311617655,0.8039225380566453,1.6286445305346797,1.4169225948203428,0.7945643509566218,1.7868207479023988,1.9488288114793677,1.24561237350852,1.2912517526210348,0.8951569298059494,0.8027510410010562,1.2460010853057022,0.8544841819823973,0.8091365793695926,0.8706817658134702,0.9464800594803596,1.0562293099817215,0.8209467557739798,0.8482253314045006,0.8003034927941376,0.9773771345390918,0.8108971678494534,0.8004284167937623,0.9532039492267235,0.7400332156564869,0.8720552679706409,0.7688557623853312,1.0072439203599877,1.528159080460304,0.9963056206368153,1.06295296475978,0.7810253569255398,1.371304094359816,0.787688220527025,0.8614486169199983,0.7729061209628614,0.7673538910484006,0.7718209980105497,0.8251434583709834,1.4190006596881188,0.8737745534322334,0.6767430576598437,0.6556375177849304,0.6752956461426876,0.7595323903522676,0.7125996442116294,0.8939235067978808,0.8060141197130996,0.9538627088299917,0.8458736072276486,0.8531303997209565,0.7580690490509651,0.8516914895795863,0.7397495129514108,0.8143911239618864,0.7881511464657434,1.1598155536899062,0.8057774108043827,0.8023964077023816,0.7746388912176974,0.7568714945359731,0.7145408221225923,0.6127274118494354,0.7079082342936407,0.4978522331082188,0.4829617494577969,0.6761011782846993,0.47048985433234863,0.436959916088008,0.4066921890036821,0.4470068423527448,0.43651885844867105,0.447102124510249,0.48888116844805524,0.5307434660017912,0.7318745430313397,0.6144059526895644,0.5657604644020754,0.4874828917060589,0.524791485281596,0.4030729445444329,0.36505858511223865,0.3924336980071586,0.5565529483395615,0.4607263365788342,0.4219064816029342,0.47310161754202157,0.4455174196768877,0.4951159511767646,0.44577423202461613,0.584699391437119,0.5076922761924751,0.492420401585307,0.5913438730101501,0.4646233700110987,0.4763135528077299,0.4758942772501225,0.7492723266114361,0.7264278734459327,0.5869862905389394,0.4956556679833457,0.4885599755324095,0.5024277762499767,0.44920458571216754,0.46629248211756325,0.49042468025167335,0.4738086797874658,0.6333874854835118,0.8178722605723289,1.2263500365644255,2.109674611647514,1.543342583719931,1.015162834449103,0.7253102336376221,0.7274082598129092,0.652064102997169,0.6213967570144084,0.5062937042671689,0.5144636323973326,0.4514087306371408,0.5026250037408506,0.5832390007682249,0.5663287775283377,0.4990019582752134,0.6465729990068402,0.6158344670160002,0.6175475795929248,0.5016085175957647,0.4637000017286465,0.48054146114927315,0.48968497069480094,0.5689310321683377,0.6635346983304248,0.6739687845236322,0.8758447973149537,0.6964747246722924,0.733612305135207,0.5764195169397239,0.53592108873404,0.5183469104345915,0.5190914488466387,0.5208339796599386,0.5640187245925826,0.5489719872667586,0.8986348752373385,1.470613297170723,0.727539427813858,0.7054223565006019,0.6751254711314292,0.7322073573394253,0.7678178323828464,0.5413162310314099,0.5105995393116706,0.5189754963468775,0.48207435961912815,0.4832392774880073,0.5578749863777871,0.49565742087163117,0.5296268348762428,0.48347599001182345,0.4979974469932119,0.5201777187245702,0.5437732539668182,0.5931245216098069,0.5738073987203823,0.633700490037306,0.6528383407131693,0.7035594917399646,0.7617715567276047,0.8181261505596208,0.9301618895934272,0.9101449660779498,0.850641708118676,1.1494064091117233,0.8217859626543448,0.7013544362613441,0.7508765047728057,0.673052661783988,1.8172069756539575,0.7862458762333534,1.6075933231405788,0.814819513716707,0.6947390748194088,0.7956886147880268,0.8563324254691511,0.6367045743806657,0.5579207980069048,0.9644800931439644,0.7038383717813678,0.8726418992233653,0.5506709094639592,1.0600675411560896,0.6775928307002038,0.7060807678624517,1.1900457639766093,0.5448639461080751,0.6492672934575956,0.7480849664164396,0.8491756346510357,0.9249089217018356,1.0853535399854852,1.0137372940829348,0.8220069525296866,0.8381525135013081,1.0604442899485438,0.8478204926696309,0.7243628933539797,0.9412044439014353,0.9862610449598674,0.7578696064034981,0.8561972199165945,1.0483705541631092,1.130680175278454,0.8839701710913069,0.9091971167921269,0.7703852051116543,0.7501611395047958,0.690512806575953,0.6789395835697717,0.7121388208268773,0.608429331067952,0.6005759841435427,0.5767993643879067,0.5999557718674402,0.5189955851511584,0.5646895877597354,0.6878861243332625,0.6113187280518314,0.6000115869050106,0.6522815814688966,1.0694354864447184,0.8429618398753876,0.7906213853138402,1.010369023166535,1.0479879725784054,1.1737543066867584,0.8982239581527572,0.7455628573876808,0.7177946981064469,0.9450739329579002,0.7996128003666191,0.7974066732414776,0.7952386247312018,0.6008453137605405,0.5378142187028029,0.48836558818362424,0.4518261110518056,0.506923340965452,0.5273890397988008,0.8528595268630285,1.296989552137939,0.5563987247785666,0.7976673712773419,1.2147862728295056,0.680128768621667,0.784198305214311,1.081405083372393,2.457869382643188,4.078897997540894,5.010127321364964,5.623788812034215],[0.7354813812709536,0.5712192215701323,0.6003262826818133,0.5092836239361597,0.4924868252818387,0.5357870732578641,0.4638151039883074,0.5308900330631677,0.4771660682785285,0.39838037742349597,0.4259214982536522,0.634032687545238,0.4592223953355824,0.4539975280506014,0.6118614601666464,0.5901162016811449,0.5577163844599923,0.643415266720137,0.7731107078511347,0.6743546570137205,0.7688684791651371,0.7787528951014738,0.8547064223739431,1.0847079033847449,0.806844317952387,0.8134982210092381,0.6725455077542705,0.5845419043420003,0.5799925854433089,0.6070683786194686,0.6653785038924493,0.6660364452415456,0.8204871985086624,0.7107665122139605,0.6814342965226238,0.6576632965296683,0.6210881833801152,0.5962798794661697,0.605222037688759,0.6046467712211954,0.7354341312877468,0.6933678682921534,0.7254246724630762,0.7030897564248744,0.7911045248911199,1.5837308224021276,1.3931295375937296,0.8269814097234728,1.7674004014725204,2.0162929328976373,1.235759772704862,1.3119668873110273,0.8675324642774661,0.7933836568010995,1.2038574128024013,0.828750250467465,0.8157242596106739,0.8172013416189429,0.8687958458734236,1.1081292619525571,0.8091949747622885,0.840120845458559,0.7465978450686654,0.9735628692369083,0.7858871139959046,0.7650414399851305,0.9294134358326346,0.7470918641682917,0.877521221852857,0.8199423575080788,1.0636657348011498,1.5199961394726427,1.052017926704777,1.0110517268065984,0.761348235523369,1.2855900088730303,0.7579878457406638,0.7908969074682279,0.6987045720576416,0.6978222742303467,0.6801420521539696,0.7749909929397252,1.4139596770327716,0.8119803720590981,0.6498136565838334,0.6213615094463345,0.6422741101453423,0.7040731289650874,0.6625017356760685,0.7913392307572173,0.7339924300986261,0.8401030066172737,0.7567340738892847,0.717438624039816,0.66839290692598,0.7516461152197569,0.6730842579334949,0.7347908061832861,0.7229213214206092,1.05007436232458,0.7267126519770414,0.7518885843157983,0.7032050106830671,0.7008184812403997,0.6647975112102377,0.6022036597575442,0.7061732087009928,0.5308966312916118,0.5449946188263665,0.660659265687093,0.5167816488654373,0.45290047487254215,0.4359716852756861,0.49787026025329384,0.49913648183857895,0.5322412671795387,0.5506689182027472,0.5980157033221708,0.7151647269446609,0.6371197395935759,0.6023535651375542,0.5673529867704337,0.6020996003907836,0.48350648544862873,0.445375775730071,0.46896499067859027,0.6288108309380305,0.5170628132238277,0.462632644520883,0.4885657931513266,0.4737267942290182,0.5007145648318102,0.4729880556758121,0.6098878043242876,0.5394654484078307,0.521725319238889,0.6126715880727233,0.525631828393121,0.5533314960246237,0.5425211410729311,0.8156941240949909,0.7994620286971594,0.6426160364287359,0.5386298983587391,0.5233416184698716,0.5343650765119901,0.4982618619131754,0.47503850838427125,0.48778320224260224,0.475507205765342,0.6300756598594778,0.8232296084001195,1.1520875438560672,1.9240873416013187,1.5018736600171658,0.9420439880604305,0.6701624021589874,0.679787007637252,0.5954022722450516,0.589120513817538,0.5098961864991306,0.50504482796495,0.4939234929416354,0.5172390140321452,0.5955743288044758,0.6439516972124256,0.559917858042248,0.6959698315313653,0.662565224829173,0.6701805511435002,0.5449904944193014,0.5127966162415765,0.5025745216075976,0.4952014707789905,0.5385606329825001,0.61778328852738,0.6285727856505728,0.8126809183323843,0.6485227657186691,0.6881330888843038,0.5749099148004174,0.5244534604518791,0.511404195935239,0.5141685187036881,0.526938140031283,0.5674423442696551,0.5727577251339357,0.899411840410137,1.5468280520678588,0.7196468150031333,0.6882846605009413,0.665866090733748,0.7197820569012725,0.7788724254763668,0.5576471066501164,0.5387932753686514,0.5485943476257669,0.48206201616382793,0.5101406339901777,0.5427222597446127,0.5217732168220488,0.577187148142714,0.524040008695993,0.5265178899135827,0.5864725453642121,0.6194581855265147,0.600270202071325,0.6216372957162911,0.736556963257106,0.7272347975036859,0.7500509365698494,0.8209558677154687,0.9032198370378479,0.9670478968760511,0.9308694047291453,0.8482661583094698,1.1853158849801053,0.7937490828523373,0.7235352566518112,0.7794481842490969,0.704720308853594,1.7961092134160483,0.8238519706934403,1.6484244799746512,0.8892156903991801,0.7751232796508168,0.8485589567665318,0.8875952160371617,0.7093230130078654,0.606193326159136,0.9965252813341289,0.7271142830871667,0.8649960578643109,0.5794384469249008,1.0965316461948211,0.687477067059005,0.7093635750258902,1.196157826550747,0.5648050579933658,0.6722413014371353,0.7859056561998393,0.8988998373128962,1.0001096539141578,1.1495448978345357,1.067965876934483,0.9021952646602515,0.9252862761442633,1.114196243745185,0.9244010409563346,0.8143571802825741,1.025454915323222,1.0760764435427457,0.8603666167240697,0.961951853550454,1.1772020540887589,1.270901691462272,0.9900133079772726,1.0085099270588005,0.8602031820433005,0.8546986310541433,0.7941142776043508,0.7837530208553303,0.7927660150908343,0.6915856308431413,0.6720068421049543,0.642645827390147,0.6480036838859782,0.5515068697526835,0.5949413938959796,0.6802871352402365,0.6179134972075968,0.6006571301845627,0.647589164682326,1.066216876170925,0.8224389210423214,0.7488051602746979,0.9754450160636069,1.0141327385126742,1.1323814014203024,0.8401098350033813,0.7158189690868968,0.7120782713742854,0.9011690110950435,0.7466950560607112,0.7428348102023183,0.8043478517118048,0.6006012877263008,0.5490317933295134,0.5243434293906533,0.50527198078239,0.569008410624771,0.576256249414607,0.8867397575722296,1.2453881709179038,0.6343708122140659,0.866679777741981,1.2755143776246407,0.7942481771128702,0.8388398067731665,1.123194333649833,2.51627397522021,4.014916789199211,4.79342306292717,5.463186278113867],[0.6037006796033175,0.470518263895802,0.5139175710999346,0.42485569627671077,0.4470552222912941,0.4725632491891918,0.36855615632836947,0.383832397962564,0.3428667302848524,0.32847979343647526,0.3349295277012997,0.526561967593376,0.36304282595012055,0.35203002187798055,0.5005315269621005,0.48752728904982684,0.4550973226123942,0.5703143186530814,0.6706068286002637,0.6004300767318871,0.7420003974783392,0.7095020231821534,0.8664001972018197,1.154713295293119,0.7905581862425154,0.7894533811152827,0.5957340880126971,0.4912456988936137,0.4875246033078083,0.5158005918512272,0.6000051264353847,0.5889998177963209,0.7838779602984782,0.6756745962761416,0.6088995188505618,0.5829785339279293,0.5316055669665828,0.5195077634283847,0.5073030353037078,0.5219987358572453,0.7536522765064908,0.6118608135000678,0.6595865847552134,0.6529072620777232,0.8523370092829625,1.712981573138983,1.613036235534641,0.7807470296453696,1.8064756013044327,2.0526606286399702,1.304966104038092,1.2367107968765123,0.7936564982224628,0.7943828012005321,1.0625010805443496,0.7101177949875439,0.7175715867032049,0.7576692794123011,0.8312610080846234,1.126921445554614,0.7744760852679562,0.7565751727635402,0.6797818288343211,0.9018054792479004,0.7393801085341167,0.6899539748209177,0.8758587006899926,0.6721400301909966,0.8105651865739718,0.7015990589626274,0.8984235341516323,1.3124979099841974,0.8680434933708797,0.9796657028371083,0.6965032002152943,1.239393433150544,0.689448046984343,0.7406184306143372,0.6526020146475355,0.6463083262942609,0.5936814200829041,0.6630572712738592,1.305110302908287,0.6659840156404339,0.6293320648397708,0.5239425464807334,0.5714958608271729,0.6091999556019383,0.5933558825974438,0.752872943052197,0.6831118595531259,0.8642204159356114,0.7459978053182768,0.7217205438628137,0.6413258059829857,0.774707611260266,0.6740913693936216,0.6941797708491547,0.6491028533641476,0.9846905669241646,0.6468679849774589,0.6478389396641938,0.6045771345260426,0.5882704283595787,0.5486243789458364,0.49587908309753104,0.5814993662342836,0.4159334735469365,0.41237773130973016,0.569315531368512,0.3585738715753845,0.3393789364384499,0.35145740758172295,0.3922036971514333,0.37261531119747526,0.41919277692603857,0.4637440432118531,0.5065773175744883,0.6960486813590233,0.5848582133242678,0.5251875652378976,0.4386089119099176,0.5099695205082205,0.38323422941964713,0.3648828163753439,0.38993184174981604,0.4722024402399212,0.40402896759259127,0.3678187742633081,0.41089210060786163,0.4339696655141673,0.42940364842226464,0.43433757290634384,0.5014938611367737,0.5109106309263406,0.5179272229060806,0.6199297824642485,0.4888985723686715,0.4658474052517528,0.47771967593213693,0.7734488852603838,0.7775592593382089,0.5910376673916489,0.4715601621855139,0.4384734623774455,0.43341610178157264,0.3878572125977911,0.3890021307125158,0.4118567639521616,0.39544034097458,0.508988172853685,0.7185411576853952,1.0719482002844396,1.9333233225595523,1.4598247681694843,0.8405009803630047,0.570288376633461,0.5589648458588601,0.5054595532249475,0.4799293117674963,0.4380620367458491,0.4303943533590769,0.4188647564372728,0.43430066338275036,0.5267166890593212,0.5860545817592357,0.5413021983646573,0.7433174962838942,0.7112392051658034,0.6887252200768154,0.5440224834789715,0.46570630427584353,0.4429534785706598,0.4110401420964593,0.44686958480051436,0.5120920967686855,0.5395442285434796,0.728706205051222,0.5573424850120049,0.5600574612233455,0.5035782265724603,0.41587508228950754,0.417662661992568,0.44242407266888056,0.48095520356056165,0.5110346464326256,0.527194331460079,0.9565008712926282,1.5249315632906864,0.8763779706547113,0.8762373602972202,0.7634918932951082,0.8541569617356699,0.8656706720706692,0.6059094693106635,0.5246370050605574,0.550940891965823,0.4703580111591334,0.47677424707009225,0.5368307266613028,0.4494878055733567,0.46761706615278675,0.4316549130290811,0.4731007319483976,0.481976246626383,0.5089804530136731,0.5904770959711925,0.5480561748839465,0.5939627680670575,0.6129050138632333,0.6716496697004916,0.7010568497362403,0.753277932255241,0.844567580294012,0.8425296848284195,0.8104868599962646,1.1092276977498265,0.7781900096434967,0.6592338238679117,0.6857180968626645,0.6269929378944922,1.6394941850649631,0.7866688750359072,1.6114446350841187,0.7911546222628046,0.6562905851633167,0.7434127748195867,0.751989789079732,0.6198025420279785,0.4936530679632308,0.8765947139698893,0.6407384868441928,0.880872792418603,0.515894636243159,1.0265734225208385,0.7475302995072742,0.7344488563181115,1.2016141013595585,0.5230017910744619,0.5767807982919538,0.659497708325532,0.77807682662569,0.8798550083896903,1.033819069099781,0.9222749501894983,0.7690224057130902,0.8001203416938639,0.9842128756325241,0.8163779961880352,0.6675677522765305,0.8754221245334993,0.93898934888837,0.7079399610895449,0.7838578339135579,0.9850877070122576,1.1021520309687105,0.8269984545040401,0.8379149730211961,0.7159570366707516,0.6964813088253351,0.637263867361549,0.6138631850351929,0.6589100937639344,0.566541560615591,0.5631889864094569,0.5498632857510144,0.5782562071141542,0.5014206461313676,0.5565689600086144,0.6856283852233146,0.6059845009470816,0.6054780002100945,0.6752351033080803,1.1520482961233867,0.8971857339922223,0.8101496163120853,1.050303750790743,1.0899115065404614,1.194068239436213,0.893814673636655,0.7228797518985728,0.6791978953509676,0.9143781883001364,0.800769346560276,0.8248568178713471,0.8150424631820407,0.6380435245375418,0.5533348271371827,0.46954271399081976,0.4477039827171791,0.47161956557293166,0.46299992241728954,0.7932755084949974,1.2308908318297689,0.5435167951702373,0.7515606652619555,1.1582737594350367,0.6965551829343388,0.7662726013650485,1.0253321129524902,2.263237058260802,3.9573256607408576,4.630527115493338,4.919153384428349],[0.5701551555151146,0.469430027543535,0.518951203026364,0.4194033297133771,0.45007656607981095,0.4463971815288384,0.3509905434458042,0.35056346947583744,0.32495376251592517,0.31192277037503197,0.32160534650266226,0.4786192080071942,0.35313569788655874,0.35448986045113545,0.49131428538667693,0.4601872029840925,0.49956596939012793,0.5868579305991537,0.7063006854415763,0.6423025291972851,0.7756423437446147,0.7471951761570288,0.8939875082491583,1.205669092893007,0.867237429931652,0.8566090186082046,0.6625308786973687,0.5482346475260687,0.5159679823124957,0.5044154393395176,0.5752240607082063,0.5320931164162748,0.7074918405052351,0.6206102301139194,0.5578158752272047,0.5777208368368005,0.5131009395580336,0.551027728133703,0.5582612613552922,0.5762330354431807,0.8263262619150669,0.6688424560167957,0.7125039743868821,0.7303999346986277,0.9499193285710903,1.7692338898888498,1.7249774127453137,0.8609394100964879,1.842242838388557,2.1268327569654217,1.3826033166897411,1.2094689209391476,0.8226868590710409,0.8393869053772413,1.020666072419694,0.7281879293032653,0.7534150415614839,0.7732415390617338,0.8431639590612361,1.2239631225289345,0.8203390746615717,0.7562760327236646,0.6656599260479874,0.8991186180087605,0.7596175397072771,0.7016583995121024,0.8839290017311884,0.6819977886813112,0.8066437974800169,0.7217481810364614,0.857087616454322,1.2009023564271368,0.8369269020531837,0.9551722078371787,0.6902477621993176,1.175948834120459,0.6860678674832431,0.6955352071896377,0.6363339694423724,0.653986083466403,0.5536934581112153,0.6179972485713744,1.2417537063912591,0.6163785821144269,0.6982854973345799,0.527764957540077,0.5845554128934749,0.588923753155536,0.6024519837161998,0.7080336627081942,0.6503131748843325,0.8096692480391553,0.7039324138079036,0.6562065767459978,0.5894765820371605,0.7088323920692522,0.6566658567312341,0.6200569346473238,0.5720023815081532,0.8636710725055732,0.5639888304075148,0.5591619213586496,0.5281072477824009,0.5208703449513166,0.5098657663256699,0.4544026728852534,0.5211861935776135,0.42386794341128825,0.40440223297583283,0.5333580326311782,0.3295885162923841,0.33510782327116295,0.35066152186348204,0.380188763567517,0.3699182775648085,0.4505853674771138,0.5261284249857379,0.5623544885687792,0.7536152902049857,0.647148878632817,0.5917398159459966,0.47583059581294074,0.5395417742143388,0.3954185024975655,0.3587059295860871,0.39657252009138777,0.420962297878743,0.40043836275869815,0.38017451493050425,0.44379103243821033,0.4822600562260791,0.46325834861240767,0.49883723356460136,0.504902887058143,0.568762596690659,0.5834941185671388,0.6608825886457965,0.5410186961344738,0.4972947437414612,0.5313954032591452,0.8084749674067183,0.8265110148741307,0.6441073255113868,0.5224719762371131,0.49193146408731053,0.4699649000870047,0.4272907519609163,0.4101454454821865,0.406108193071721,0.38082545772226095,0.4648480983358555,0.6821535358153287,0.9745109180344024,1.8326556698320033,1.4043453864300888,0.7364694200937312,0.5023381196052312,0.4811441321283124,0.4451118093226416,0.4408336513044839,0.4556969603443609,0.4501501634700278,0.4693939530710066,0.4859208673927104,0.5655170982154465,0.6440593773048171,0.6173452921670705,0.82085801470815,0.7787923359889625,0.7472518950579677,0.6097670537319185,0.5228983043880087,0.48535732954622496,0.4425318568553944,0.44717855689279445,0.4794450192619169,0.5104873869571873,0.678992393822709,0.5381663565641015,0.5059979996261139,0.5336019497359301,0.4166712569611127,0.44875003168436695,0.496855944570936,0.5484376833327551,0.5798231174748506,0.5998253972156967,1.040678299851269,1.5849279166820314,1.0038977477187268,1.0261605116559684,0.8713154871602083,0.9600657173833659,0.9492356061556569,0.6852832378187323,0.5848582315304959,0.6175660753418991,0.5283382859323278,0.5230722411165163,0.5744725855377171,0.4686084113078873,0.4644371249201183,0.44054459307326593,0.5073178206539777,0.4945186351915049,0.5192532144612625,0.6044833180077692,0.5567359977445592,0.5806775757573168,0.6099625009938917,0.6616410979676894,0.6747714227988966,0.7296259442476617,0.8215035995362938,0.8087228118513076,0.7890646184352363,1.064580188050009,0.7581877915375886,0.644824653732902,0.6571490129032876,0.6077760588342656,1.5486879832807858,0.7582885952157723,1.5750196937332097,0.8005038942802724,0.6563799461665376,0.7447991911200379,0.7589762710505628,0.6480364623430586,0.5293728481997506,0.8627284196322641,0.6718286885403373,0.8901480314068626,0.5476452279434427,1.0511023422137231,0.8031576256594587,0.769348328344083,1.2272099800171399,0.5603284451292457,0.600033441610415,0.6644227581396077,0.7688904836529674,0.866022884107829,0.9727610525477448,0.8886331804863831,0.7514886091804212,0.7685810128796747,0.9428363542930907,0.7860108502788393,0.6630120489053779,0.8419139850990598,0.9136763805599855,0.6962259127079821,0.7531262899482142,0.941110355739427,1.0951783428088822,0.7879038609268447,0.7862330923891873,0.6723276365917744,0.6633585091675775,0.6256803377630119,0.6057469674073019,0.6360303967415158,0.5658636860990421,0.5606751233317109,0.547560695047419,0.5725406082387691,0.5287587016008918,0.5776053425099902,0.6927619017625798,0.6307086133325651,0.6537155029042875,0.7161678143933974,1.1961752043980969,0.9430682469540149,0.8245405026302057,1.0907461928111606,1.0895123178103363,1.1452273059775766,0.8754707477869184,0.707490082832395,0.6611182875055809,0.902662343741151,0.7858794083241782,0.8139741942076638,0.8261447892214335,0.6639084360337851,0.5914716231728846,0.5042948190366427,0.47382644293091597,0.465345366484457,0.47125189643928184,0.7911722703709901,1.2368250970289296,0.5824513003713254,0.7454961195727726,1.1679410424503487,0.776606084342291,0.7826593199621015,1.0331175537547626,2.2324238993364407,3.8363049478789106,4.3091709674931336,4.582855661762051],[0.5342864200874257,0.4947679994557737,0.5406294068023727,0.44650158201952406,0.573803349133878,0.5046669457288907,0.4564136104728348,0.4760006114922129,0.4586547192886802,0.5287271468235292,0.5924044801866898,0.6802869032178814,0.6617960292712202,0.6434930961598975,0.8215890916836219,0.8020400165061897,0.8571912303665017,0.9316159786494033,1.0435994941678006,1.0078445129835383,1.1179466981543267,1.0936702204516995,1.1978321193533221,1.583307104041362,1.2047737586553955,1.1697046775635633,1.0042503859075942,0.8933146800553499,0.8869570479152841,0.8487134798173331,0.9044693804484821,0.838491469827728,0.9310626219537896,0.934215885937068,0.8953402258568857,0.9313027161387731,0.8606689370482685,0.9172099818603234,0.939594120023424,0.9609071973443888,1.194764646209035,1.0439983893617275,1.0899259375799026,1.107239660949934,1.3445455526572125,2.0563034782431213,2.10645713767987,1.2302411001564095,2.0307055010938875,2.2455332628658145,1.6912376199763064,1.3946618404443554,1.1413251989581616,1.2461962925854304,1.1805398931953823,1.106713367467126,1.1205705537097748,1.1141611093559107,1.183776953076271,1.5528279150646376,1.2108388711119138,1.117628514566774,1.0400083092991133,1.200247010946766,1.1333403416562653,1.0565544634481128,1.181531773331157,1.0287661804054584,1.0887461276342336,1.0399078606301027,1.0372460108920922,1.2621831910076684,1.0993452521146425,1.233235857568776,1.026006207808295,1.3200920876747457,1.0387333869192594,1.0288385310186092,1.0069622755326912,1.0178163645300065,0.935216682595288,0.972128066712454,1.3745148909500686,0.9725868291638535,1.091594557944701,0.9012760253879938,0.9519479960322587,0.9247862898482919,0.9811254311460103,1.0093965881446751,0.9953104707141197,1.090151154221801,1.022115405676346,0.9479548850992009,0.8804334179053421,0.9291396877682878,0.9311074958383898,0.8430868724690364,0.7619392268982694,0.9277275429668653,0.7761889909986085,0.7226483147854131,0.796616312855697,0.734120454604793,0.7573504014393074,0.6517776711402008,0.6996915757089661,0.6731648782348532,0.5973057761271928,0.6871375948772003,0.531873899701647,0.5876337782139454,0.5685957406603207,0.5845570917872971,0.627511360470263,0.7187608616110216,0.8627366378896235,0.8691998229810053,1.0486958154174475,0.9870923677497307,0.9223428287982526,0.7516150659651384,0.7476843698027428,0.6017971606442106,0.5127422576765042,0.5773870148148615,0.4954149404516983,0.5828407908704185,0.5815497821939855,0.7098702042816365,0.7399229430799926,0.7355734996033553,0.8184489297140818,0.7735544644151824,0.8613446016830316,0.8699445644846634,0.8452222765263504,0.7953238510236476,0.7499127640538634,0.8263656186355237,1.0457277486686989,1.1403557839612508,0.9671615039973062,0.8745000609883777,0.849407154176598,0.8181499647059276,0.7692869926689572,0.7340850914059658,0.6848290124324059,0.6068460977983677,0.6226385410855323,0.7603109139312163,0.9556337108249764,1.7491710081694472,1.42559916718573,0.8131614316914212,0.6924697813491723,0.6641251449750228,0.6972775123205168,0.6762614917761945,0.7439892324618077,0.7948431256585246,0.8215598854808959,0.864907326908732,0.8895879397500511,0.932528485076248,0.9370826502642313,1.1235135552288529,1.0532448386931297,1.004994294562005,0.9034609921458978,0.8161028253718332,0.802681479353883,0.7805732901582363,0.7803693716976077,0.7754135335578146,0.816673789234793,0.9303442003533243,0.8684141183249962,0.796229507136082,0.8699580323738201,0.7275525122451852,0.782931894138954,0.8535755021082827,0.9043733693708043,0.9673366713099452,0.9588014866768663,1.34428686681412,1.5789324546913823,1.3801065673362327,1.4122219268979301,1.2207315203829847,1.2863764426271704,1.2229571465392322,0.9751066918171947,0.8497946154392549,0.8620378637643903,0.774452394162674,0.7023411927075133,0.7449223293138857,0.6050242097590616,0.5927741983494497,0.5720300767006892,0.599303429672674,0.5866904877696207,0.6007486608242325,0.6293711855307424,0.6008157078256312,0.60747608180453,0.6207073133623787,0.64417713283816,0.6461318086566903,0.6924631043187992,0.7926631909061315,0.7827834644525169,0.7748626310702907,1.0164121922606055,0.7492436822429925,0.6553223540154128,0.6504979544449165,0.6093742129206698,1.4479009023516851,0.7654495511864704,1.565903550196025,0.8405410493549575,0.7164876203569497,0.802319946963283,0.8524023869644134,0.7512999714860784,0.6564379203849524,0.9043475584145252,0.8047031458875946,0.9743003214138831,0.6904203525226019,1.1704436996072707,1.0006344913274454,0.9244930711723921,1.3383176630994145,0.6868459703614946,0.7891661781450121,0.7881503900263425,0.8427513887538166,0.964355657901296,1.015508257957543,0.9818367872429958,0.8472075225664589,0.8328496044042748,0.985905693105813,0.8634787868623599,0.722057605345419,0.8575700420698952,0.923473719404978,0.7115479343828427,0.753425757261652,0.9058546849771177,1.0753404347694198,0.7465969567792501,0.7359838794902226,0.6364347950628207,0.6687983193736348,0.6808481620127608,0.6560063194427578,0.6413141866739457,0.601218546733322,0.6235243274460768,0.5842158337924653,0.5874444922987432,0.5965234010829684,0.6481661332828867,0.7301740424372607,0.7034146083641174,0.7612199552621534,0.8050494718358394,1.2816349182401279,1.025528096136085,0.8787023797187288,1.1879177083307337,1.1448137459224703,1.0836789531630937,0.87226502626401,0.7137039062727546,0.6501389630560354,0.9062921662655419,0.7773492003413055,0.8249547304554378,0.8790146330552308,0.7424925187017903,0.696446614785876,0.657584607890244,0.6460606733595964,0.5463624020363796,0.6146151452739099,0.8542041506082974,1.279484195174139,0.7234641710428296,0.7653784996258358,1.1876487966529237,0.912339165249894,0.790610538517188,1.02394063976112,2.1294495673661293,3.674181165798188,4.005460521906774,4.237016731059792],[0.5336950754429413,0.4504944544074367,0.4833961319570057,0.39583279439234514,0.4682470656850112,0.4417647992213303,0.3393685797397195,0.3399944728959807,0.3138454442749824,0.3199856153624715,0.3413917977432917,0.490245335040696,0.36143837981683713,0.38206760647396476,0.5094701669641257,0.47062301744171925,0.5313906757636959,0.6131360536751576,0.7552460737941097,0.6969881316555571,0.8722851946005323,0.8421911972608371,0.9772675071916697,1.3797579050111235,0.9806412440003944,0.9541198439257472,0.734226330052714,0.6020100672445834,0.5431086210668629,0.511206565972434,0.590597605577808,0.5351781362886046,0.7122293681551115,0.6369858148217795,0.5661668125894541,0.5930177519809302,0.5164076286497393,0.5846599648235871,0.6103076673832801,0.6329746729842437,0.9452567676534591,0.7333024956820011,0.7799541243905567,0.8296373001475909,1.1250909966259592,1.8597916526951426,1.937019330206474,0.9901050229382273,1.8502288841185943,2.153725601977928,1.430946838728128,1.2293619018607225,0.8857085822784787,0.9417893152298952,0.9976834723567347,0.8013485123676072,0.8334140750768003,0.8124434948462679,0.8787262180351574,1.3174867314004792,0.9093459763079185,0.8037556931867917,0.7228627004205553,0.9596252350009833,0.8448999350265712,0.7762840215292416,0.9453432093030592,0.7239883052125549,0.8634422672515311,0.7607313507962565,0.8455202907407355,1.1862921386696637,0.8704320613061637,1.043328180870127,0.7341378490246269,1.2037638666063302,0.7243774597688872,0.7255706594794323,0.663220965810785,0.6939762249234357,0.5858696350621032,0.639673367675584,1.203976519310861,0.636669556186531,0.7594652611623247,0.5415068425857255,0.6104813896732293,0.5993292169596053,0.6362399593566233,0.7094605886091616,0.6659487059886781,0.8597368435741553,0.7464646390232355,0.6908913701211685,0.6029870627084283,0.7440582908852275,0.6694364476642471,0.6374123544966247,0.5840838006182442,0.8979693181170488,0.5668779593877239,0.5587505500571668,0.5177894273300286,0.4915269857894643,0.4976062931383085,0.44531807332890866,0.5082834905438334,0.44457716613965276,0.42247704388812407,0.4976373809791882,0.35433197476261463,0.3345450070752053,0.3500723662480063,0.3782061343406442,0.36821018626423774,0.5094452033807332,0.5990012185238018,0.6910111438461158,0.8624484857727608,0.7246899134186284,0.693445153279755,0.5277396839090951,0.6176734829120553,0.4422365236934079,0.36806705540148865,0.42655942480656345,0.3758516353466736,0.4022223481531026,0.37702740094928544,0.4810738183352107,0.5485519912807605,0.5207020685447553,0.598239509187759,0.548348512315445,0.6607821967022334,0.6916420695069384,0.7323556253489036,0.6386965824583963,0.6059555249778291,0.6562914435394509,0.9703113251868662,1.0151341566402046,0.7703454465245447,0.6509895906280706,0.5889969267923947,0.5110771066398598,0.4786498187411794,0.4201573196329234,0.39505463998802764,0.36254855478254333,0.44711126811957136,0.6798093917307969,1.0507597284799362,1.9331561325041702,1.4626347081034088,0.7707556824128882,0.5083304623345403,0.4771663499502622,0.41210081457419023,0.418054667178937,0.4708860094331357,0.4695294998926198,0.5572598618672608,0.5578706555004932,0.647115132581872,0.7894118197724658,0.7759609709941966,1.0291150055248062,0.9829824726944244,0.9326918023299371,0.7448121865522179,0.6202144318860847,0.5557017019476905,0.4946981294134524,0.45684581137028296,0.47729004947899356,0.5056649723040161,0.6674821713907898,0.5246892838391679,0.5035675431011569,0.5747927961143862,0.4307990192984882,0.48817793014422295,0.5788770245725797,0.6449122853211654,0.6835626170475413,0.684481794638491,1.1153804268236525,1.5792809515616917,1.1982943582171208,1.259252659425622,1.0272690029391702,1.1197686287707052,1.0763878613141664,0.7897442475394363,0.6803457049682978,0.7039760054937988,0.6030432161947107,0.569185751588854,0.6049295615763005,0.4642906860101743,0.4557026868494248,0.4324651810819077,0.5095648732554442,0.4914720406015508,0.506273712751032,0.5955820501218605,0.5544521485926137,0.5621633439005262,0.5794000933496721,0.6312045183193772,0.6392181389910527,0.6653043338366695,0.7737450015495476,0.7957947912392014,0.8003670548367448,1.059631664262915,0.8149979670702843,0.6760080387467429,0.6761762297588974,0.6343167064004747,1.503304807667793,0.8240471878662042,1.5838603155356155,0.7632199092079726,0.6450079561584338,0.7596908342379163,0.7759594786512454,0.6950314414835778,0.5412504451495015,0.870021423145039,0.7139999194444618,0.9372992544950683,0.5980460931690218,1.068794773468599,0.934806033424525,0.8555973288213811,1.2773095859790813,0.6031553526968836,0.6024992087210278,0.6453346094432975,0.7421944924848802,0.836003545646935,0.9606768690207486,0.8720388321223589,0.7165205427690273,0.7435878472574353,0.9280513689577213,0.7850186351788371,0.651272753906662,0.854095688905113,0.9470906820781917,0.6899168078958267,0.7296588982271521,0.9110494793308326,0.9997686272419297,0.7490973618946892,0.7603115500620614,0.6471317339739464,0.6336221030623851,0.6036227041955167,0.5739196315559527,0.6274719496104577,0.5544059964195912,0.5597033198555319,0.5476252104024412,0.5829295974270688,0.5419032293304274,0.5926201484781412,0.7781264406307791,0.6973731179097101,0.7030976333050188,0.7697303991610916,1.2699903593099504,0.982740161276361,0.8900974988116737,1.177626294183738,1.1983935488528017,1.22104957352269,0.9427795229895056,0.757702913193928,0.6671148046820894,0.9417209816635812,0.8570244490588198,0.9335971361236644,0.9084168069250144,0.7239257789941115,0.6231117958846368,0.5284216218078276,0.5012615965872502,0.4483653856462715,0.4615352773505557,0.7331360086077867,1.2054964704020132,0.560416683751335,0.6639107901067474,1.013232549101277,0.7227669434385288,0.7116671017265694,0.908660476757761,1.8625223684673173,3.6351791844086194,4.097624021121915,4.0557932081376125],[0.5621287203092801,0.5678520133464805,0.5747903845022504,0.516609760279345,0.639033260875826,0.49198204273662177,0.41735269982161594,0.4188844464322306,0.41948349044680366,0.4266893461913324,0.4106734551526441,0.4858512592728558,0.437350428475233,0.4628120007675666,0.526177900846269,0.515120408649951,0.6234116787507501,0.6965824361011623,0.8584507740060883,0.8322631718964217,1.0237914186065338,1.0155705669986956,1.1066233655999687,1.6301281310926774,1.176806673452962,1.1287150685123224,0.9159498175355824,0.7642165069489518,0.6630931502751223,0.5775047406368392,0.5997570005212519,0.5389216188884601,0.6096848116035416,0.6286251973919819,0.5757661896376021,0.6756469151305298,0.6004520714895171,0.7303508384429207,0.8086562150638317,0.8542479189222862,1.1944844336445035,0.9149108495476752,0.9583742093747685,1.0534804869693997,1.3499889607925655,1.9932137722177967,2.1963506770911985,1.2867763095598466,1.925877268154686,2.263338426474419,1.6098262724731272,1.3907814329606725,1.0822628041126376,1.2195588316376134,1.0698797545612133,0.991204305449747,1.0265778389118718,0.9590012118375029,1.0032039920765459,1.543634694532722,1.0841952049026256,0.9254328241535399,0.8217359749132488,1.090147432733637,0.9828011564605403,0.903270381757886,1.0196593428977534,0.7957299667939101,0.9325670631530124,0.8005584997790116,0.862660615951381,1.165741267687646,0.9008101669571181,1.0960581174681225,0.7767131561608713,1.1550216522506112,0.7933444074035011,0.7456520747697929,0.732002326357981,0.8248124091881743,0.7179770934307779,0.7864135163414264,1.135846686219198,0.8237562433597689,1.0101190934364017,0.6995662919998844,0.7691392961261649,0.7003529782041944,0.7446804728332788,0.7417104396070137,0.6796332860149135,0.8611264459139781,0.734833477907609,0.6295777983256414,0.556032872724088,0.6853954562108688,0.6563806578227666,0.5771781310936298,0.5309732867344514,0.7779688443476265,0.49986654589018764,0.5379212997319246,0.535868874832402,0.5236434614379416,0.6058821446045835,0.5632598233077541,0.6198768731347829,0.6086438005046569,0.5661185911940649,0.6070941537120899,0.48676498735734836,0.499880698016388,0.4730094977186265,0.5274021773179799,0.518149812171817,0.6720943975746141,0.7658161428539578,0.8859617712413065,1.0176364443716293,0.8580165616162012,0.8508938515671162,0.6684176902922098,0.7526335243224438,0.5869731899564583,0.5046348162086955,0.5917265356641438,0.4718469286139153,0.5835723308300826,0.5834394274144848,0.7016803299894382,0.7963216363716591,0.7659628011971525,0.882826960512912,0.7802814493813914,0.9206312798191504,0.9571161037986973,0.9302481405640208,0.9026268812551812,0.8555266992792722,0.9171392396980396,1.1737820419638436,1.244214650828905,0.9684323707302095,0.8647921672406218,0.8113989749212093,0.700988059447658,0.6763158315124864,0.5968652287633223,0.520273140846081,0.452738671129236,0.48164663676762537,0.6476166042239616,0.9304783494595268,1.7859968495880716,1.366023635543144,0.6623929300347994,0.48284205377628325,0.47627902059836463,0.4441874259111509,0.4907117309749921,0.666021601697845,0.6588513308085009,0.7972767325076242,0.7885979041306304,0.8913729611398085,1.0423603371353558,1.0560858179949184,1.2836129321722518,1.2491894014248652,1.1787601128826226,1.0052339889514765,0.8835606933659732,0.8323887159176266,0.7477193929696451,0.6467069260416503,0.5720166153881928,0.5741285223179327,0.6826785625881541,0.6477041897515843,0.6175440896202611,0.7740230979500714,0.6441161291385944,0.7602894778814264,0.8565447220565005,0.9235775355259852,0.9631613340969556,0.9356115684042375,1.3638532142182607,1.7030784106484882,1.555671043911789,1.6589978454259315,1.3463286745318088,1.4468177047279398,1.370660029079705,1.0905271977050122,0.9659947571576682,0.9465941782651885,0.8579205417349384,0.7984263109890894,0.817234356144172,0.6503174104854955,0.5890522420374037,0.5950562290113299,0.6579452389611116,0.617480044426527,0.6275381652410968,0.6997061524741632,0.6761573834327046,0.6770911705693686,0.6886300927215099,0.7319838736366,0.7414583492894177,0.758199697874754,0.8473347225733164,0.882947125827095,0.8730920360465574,1.0916031084445275,0.878541746791278,0.7981128123253287,0.7803092864287013,0.7547004635568061,1.419802615777724,0.9353556405422297,1.61495424444385,0.9169963733884949,0.7699725390744635,0.8440001721477384,0.8862102749253851,0.8574542989766752,0.7386780102082496,0.9439431334793077,0.9190272379431742,1.1108074574121112,0.8229065780456858,1.2008663080553037,1.1836281426611432,1.0549712537661748,1.4006422213543874,0.8002510296034729,0.8283542495012177,0.7869913883808445,0.810125963096936,0.8925083529720838,0.9210243637479857,0.874300271493172,0.7777646987687835,0.7784312089670362,0.9542293607473895,0.8198248383877371,0.7285920166376457,0.8636336321610639,0.9673986539015609,0.7649919119005748,0.7969892195275766,0.9288688660843639,1.0641777712492395,0.8207857185803494,0.8235680365269443,0.7293206836703409,0.7145565819722791,0.6883616876905385,0.6685065036306735,0.7085621282983037,0.6554775548569526,0.7038757604649477,0.6899697626093928,0.7090171178997304,0.7003189266826443,0.7610962824582007,0.8773487371500476,0.8331153346961147,0.8830907715120478,0.9440135980344986,1.4006983325534024,1.11170690899377,0.9902669603293538,1.2875698892910923,1.2631696635108722,1.2274371203434709,0.9970094821802129,0.8243748121372348,0.7418541897837919,0.960585966636283,0.9032078657968262,0.9928591189806325,0.9929697069896147,0.8413148746935407,0.782632918025491,0.7316602206549059,0.6927556659062393,0.5813344294386421,0.5948699707982742,0.8014177788922066,1.1869662449821503,0.7216781284156668,0.7367632359637318,1.0049875956593164,0.8434116943942604,0.7681722912190461,0.9468103330703949,1.6460122765879377,3.2859191140282626,3.465268773182968,3.4155210233066273],[0.5217496016041905,0.4258859691910309,0.41023139727701474,0.3469091883159339,0.4373900560777782,0.363575235991016,0.30002000603544593,0.3577813623099266,0.3613289954097873,0.3218902126587655,0.35186748218034214,0.4952205714256988,0.3473153518912948,0.3763859264093856,0.4698584849380494,0.424220553639741,0.5082273262049058,0.5835053107259897,0.7454660609323828,0.6814854720675153,0.8773398606200229,0.8569493639853274,0.97586476273218,1.4426599467941832,1.0266238305632778,0.9910811321266947,0.7580775404187232,0.6029485162041545,0.5113698862057791,0.4672021632673398,0.5242345336887817,0.47944422903818346,0.624873298853389,0.5530629909838117,0.47725847029092466,0.5263336343232973,0.4747232083781473,0.5672906512327417,0.6136531637104164,0.6466241517213137,0.9921720401649857,0.7412856122332419,0.7775538600371102,0.8733034404400185,1.1949972526819792,1.8672699950794511,2.0471264720339213,1.0929112087572024,1.8261857878954866,2.2245888723862213,1.4354998885549168,1.2721630840175087,0.9001554426488011,0.961830826875687,0.9379223914335315,0.7895284799756198,0.8522775724771579,0.7595193839568167,0.8288161640906545,1.3908395801639035,0.938059263438582,0.7985268646758044,0.689882572466243,0.9367862179216168,0.8451720533449046,0.7592805332453565,0.9166965467900902,0.6945037916775277,0.8525370549566468,0.7370710154251277,0.8394076821855215,1.187567235691859,0.8665094645769361,1.038031464436638,0.6931468750649239,1.156116277418744,0.6842306908076637,0.654997589573815,0.601057449223041,0.6568250683658085,0.5299432656462778,0.5870572931792355,1.134955596916614,0.6161821477777377,0.7995089460130456,0.5165903456055672,0.5729265472033769,0.5545880492165173,0.587060304927057,0.6310975623704823,0.5949640631653486,0.7951060006210752,0.6745159241357019,0.6016897801574529,0.5252292364810358,0.6880081542110495,0.6130731480590083,0.6011454097497034,0.5783824890684546,0.9131133518867149,0.5615759325960281,0.6003471219924047,0.4481353355328363,0.4778214812885724,0.4939895978017645,0.46052945669731593,0.5123250639654133,0.4377762164747657,0.4245400419295677,0.49074549316344634,0.33945232851072393,0.31211793860967485,0.31923444907651594,0.374247571991252,0.37361831504573245,0.5158206074582158,0.6100896161928536,0.7234338130518723,0.8953568403299782,0.7305271045970818,0.7142917353462659,0.5448924498886593,0.6302263212076873,0.44302919536335134,0.3752447237567935,0.4459788422706793,0.3641534977814866,0.4105293272694578,0.38890546699665285,0.48107633507114317,0.5782897969723568,0.5586552226734042,0.6548383326265128,0.5646472792995659,0.7143614616133975,0.7657734279273261,0.8094633775973492,0.7364715383068486,0.6781733095815474,0.7248576595708878,1.006703481372523,1.062103870955154,0.7987880758879122,0.6715609146041712,0.6204162226074774,0.5162263045551253,0.48715593045420774,0.4274357998866334,0.36077429813969936,0.35847374731152604,0.46586353248809226,0.7218758587987307,1.154751756019726,1.9990312733534792,1.4872254874209039,0.8018233157847897,0.5097821059088911,0.4846066757276892,0.3697376992837838,0.39356677071650126,0.4571521557562459,0.46093950289097874,0.5943549701844218,0.5867162518738316,0.6880176264496901,0.8775236239626394,0.8773945390398434,1.1480815250024257,1.1114932954597094,1.0509881168012338,0.8262132937136557,0.6960353011740525,0.6244885321588559,0.524718354427517,0.4481806265290847,0.42131510789350607,0.44942232366886176,0.6184944563124258,0.4731453844877226,0.45030993162356087,0.5968504638953313,0.4211011186278058,0.513636659698304,0.6210284379268971,0.7025654679379203,0.741409924633429,0.7328664391439929,1.157764813476984,1.7203210454953757,1.3520311698686238,1.4525741063369424,1.1463421602803263,1.2520936309545068,1.1949734196864377,0.8907009515513656,0.7468363387329192,0.7322777815873894,0.6410534534756169,0.6076490122833048,0.6165618795421122,0.4652789237343585,0.44656944234950313,0.4241151669971163,0.5063894974019879,0.4861880165220356,0.49793433082033445,0.59984496872795,0.572145626643583,0.5948941727323235,0.582276730614704,0.644118129067682,0.6735034740113622,0.6967075106571691,0.7671028751172392,0.8176437173852761,0.8162234125468841,1.0897285478324341,0.85662070119084,0.7277419589484336,0.712224231542241,0.6972291600676344,1.4669731939593984,0.9231077671708184,1.5534132571784847,0.771777072426731,0.6811759859459836,0.8107083256059197,0.7846587154981635,0.7782271166625078,0.577936190785783,0.8495244715178488,0.7586542431224,1.0020884431998527,0.6347802101678324,1.0391655082014104,1.073527563207182,0.9337716247136018,1.336583407014847,0.6514788098499458,0.62567616614615,0.5973325741291373,0.6761664964468976,0.7755192922033557,0.9383593154166686,0.8399663267258485,0.6796619808848819,0.7423594459512447,0.9421429197647755,0.8044981324705113,0.6678687530774724,0.9067198062963615,1.0273759684764618,0.750916518068882,0.7906871395295019,0.9665623188688613,1.0122852940540146,0.8069584959996435,0.832072691422365,0.7133338414909114,0.6730637796578128,0.6181421561867714,0.580464536440751,0.6693287793520399,0.566824054543295,0.567795636162778,0.5936224342587864,0.6230649499543168,0.5809871024382022,0.6528932143826962,0.8459691502166622,0.7438179254505436,0.7802733032201051,0.8564554609109335,1.343653603362564,1.0415319826239937,0.9397530540997066,1.21975956235238,1.243692147165433,1.328953301049214,0.995600252363137,0.7787033889071182,0.6720752630074368,0.9360863595102809,0.906616368214248,1.0206663222934456,0.9635267274995244,0.7529708799056491,0.6181735934626165,0.5353783879940103,0.48926690040055926,0.4373207726205117,0.42555035034581984,0.6397248466032075,1.1713040324561637,0.5131416268389328,0.5738790564335614,0.8149950662990579,0.658403710691487,0.6034048355988427,0.7683354057679261,1.4153074266431045,3.208485465976062,3.590505575866827,3.359646090648792],[0.5261843530536733,0.573946380083794,0.5377894652992813,0.41917797181575867,0.5745228506699539,0.4365685217757568,0.345800165536181,0.3607580080974246,0.365792243773873,0.38384870398970583,0.3813956831106411,0.4428406998449378,0.41430503121733714,0.4403745185293301,0.49906200428616393,0.47708287674907657,0.6085569011120571,0.6569294261091734,0.8025621586387465,0.7839976862179808,0.9289924807028217,0.9436782325633323,1.0454208907255687,1.5509328776543119,1.12129179480299,1.0661464892512467,0.8908692647520267,0.7580587724207524,0.6400884195789308,0.549654382720283,0.5416798002334555,0.505821399413056,0.546224945760686,0.5629670273695694,0.5344003560801075,0.6179429276523376,0.573563139381655,0.7041070529423297,0.7699340914448116,0.8367812989021869,1.148599884740699,0.8820068259201915,0.94047050606482,1.041394601234013,1.3240975210561134,1.9174525182543494,2.1936578088040424,1.2958913022617462,1.8909940299805608,2.3252287001149248,1.5783036953832108,1.3735949332828554,1.0593165097078532,1.1619300401339046,1.074070126057489,0.9602398980038659,1.000454659351681,0.9317095713652167,0.9596454674399713,1.472375515388886,1.0071358720791868,0.8548255155931096,0.7732128987205737,0.9942745906251291,0.9045499093780897,0.8279104719501283,0.935109508628202,0.7268144394901691,0.8432343182706059,0.7679622226100202,0.8223384029789185,1.1170944000110865,0.8551125274354652,1.012838522746833,0.7234388388840247,1.1348439703965407,0.7350292276844128,0.6755986300316699,0.6713385306893755,0.7596690364501086,0.6654015421022847,0.7515566950383428,1.1015879115365044,0.8342876266482385,0.9914560088845761,0.6833007452775166,0.7308089294077827,0.6784114340464877,0.6828360893013476,0.6820081188012721,0.6342740704529133,0.7666731684589986,0.6679920320912193,0.5578591208732273,0.5089181511673836,0.6166782528474112,0.617746030538634,0.5392545266256228,0.49000283324372956,0.7091527396266567,0.47369157903180614,0.5155867327638545,0.4573176402366539,0.4655869478054215,0.6149680984294864,0.5499271588637054,0.5968221931241598,0.6187093025699452,0.5387722516171111,0.5664248483977998,0.43277723340585605,0.45672252598800245,0.41067548787578934,0.5319123154941209,0.48666411488032796,0.6694723100159027,0.7505629253990116,0.8814159186713235,0.9838895613046338,0.8032344808999263,0.8083272049698623,0.6656273671546082,0.7660308455833668,0.5812948327372972,0.478527887587536,0.6028083438059875,0.39659135526211997,0.5779266072406449,0.5852864921885275,0.6991146773942568,0.8233110753028341,0.8081425145380381,0.9303927312510253,0.7884203701541987,0.9630414121917553,1.0269916021647578,0.9959369863308556,0.9677781302866981,0.9012375467329082,0.9410512349206267,1.1734645606445973,1.240781531884984,0.9815656611322651,0.8629505533075799,0.8183483442182847,0.6889913406930407,0.6676184421287739,0.5733133082392728,0.4769990839557628,0.4110496063441362,0.4132354521806964,0.5976494924331358,0.9490348273359934,1.758615095584806,1.307797547107051,0.6085272061889794,0.4122130044374019,0.4007745595770873,0.40955713376709485,0.46570729698013164,0.647595339052574,0.650025222044619,0.7985786029889045,0.7984808740894472,0.919039212716827,1.0789391711399434,1.1175435743879447,1.384635579816587,1.3502259682061015,1.272595872747309,1.065680874352822,0.9412403509331431,0.8782389925687041,0.7658616818833244,0.6481204485599629,0.5437393006284719,0.5605704866516227,0.6674420677088426,0.6360857534489278,0.6097391738961269,0.8136623602549314,0.6463667125002176,0.7808410497773941,0.8991388993612262,0.9512668596696154,0.9821212790247903,0.9504896301852901,1.3616444222379713,1.8680293322060086,1.6319853028290752,1.7882903391011844,1.4260298350543246,1.555483321842076,1.4666972986261462,1.1738086273790078,1.0335520691952742,0.9960365870410685,0.9101663228916436,0.8274844244631989,0.8249672667460652,0.6524060102405902,0.5323556939718592,0.5546346824388148,0.664100341356226,0.6082693237216997,0.6085451448575256,0.7089402768750657,0.6876665853861145,0.6627759779747826,0.6778704624971919,0.7479028579090994,0.7717979023865329,0.791246917673739,0.8519167776896335,0.9200228642285116,0.9208789789438325,1.1642315048901408,0.9450307047850806,0.8333482170539863,0.8243578953358572,0.8156190433893659,1.3740383540009982,1.026389302288761,1.5949818544213168,0.879264280528705,0.7790938082963785,0.9044881685287058,0.9000093060152378,0.9581691503477844,0.7842869395340979,0.9709228067373739,0.9658807019343592,1.1237763564371572,0.8662308746686762,1.2420673049763733,1.3009325078288474,1.1370675151128466,1.4805076081276622,0.8629517308228771,0.8276432321037634,0.7757963936620037,0.7704065525914117,0.8216638731820851,0.8468655721717697,0.7750339557956168,0.681133607089524,0.6977919486189825,0.8598268559364993,0.7522843256579874,0.6851124321035772,0.8299574328605189,0.9569839147226428,0.7586299321336256,0.7892181644763637,0.9446259786709008,1.073727711907552,0.8456666283905041,0.8578873409253127,0.7584748140223847,0.726381101804615,0.674409391110533,0.6465979818833315,0.7502978993234729,0.6829876209197862,0.6965166570239061,0.7308774592329437,0.7556308463541904,0.7476041810352173,0.827529339380605,0.9882785546032986,0.8895585028351153,0.9500207797538341,1.0228389518036076,1.4591899226650884,1.171951130244688,1.0398165402710464,1.3536170536029088,1.3362833952232582,1.3460537247899105,1.065601202356694,0.8715889327682936,0.7702281413009636,0.9938998951171197,0.9893505133664876,1.1173221707873808,1.0659567596840815,0.8897468453122656,0.7750954305229252,0.7237539194521105,0.6527052959174328,0.525038856124708,0.5581153907138919,0.7603703628125535,1.1567727944656607,0.707871068426225,0.6969268190668864,0.9021224264013387,0.8101259157622169,0.7191445080517629,0.9506264730732386,1.292302886491724,2.8713494108497404,2.95198388817005,2.9562682503636455],[0.5011913237692948,0.5918980418930851,0.5391069967618113,0.4684548452364155,0.635153124619182,0.4915630154141211,0.38774489029414816,0.37523884574644284,0.3922952317201878,0.41241306997460486,0.3708763942355206,0.43679750565550607,0.44111938943639084,0.4822416810268778,0.5075813418726353,0.49594520601143205,0.6643358835294119,0.696949442493857,0.832695322864225,0.8222697201254636,0.9726965619913502,0.9902461496005469,1.0832596784001465,1.5679167801950975,1.1527715494178303,1.0985195678420658,0.9368137268204446,0.8017991647464768,0.6814800032785506,0.5771337648835658,0.5592654069905101,0.5306717328781438,0.5278808016865281,0.5727724273657769,0.5654511772024273,0.6456579952582833,0.6181259589776447,0.7468788541858337,0.8083824879020637,0.8820156572008582,1.2079612467042151,0.924049772731415,0.9842947136681283,1.1007178116526508,1.4104078009136878,1.953160208430671,2.271582104465241,1.3765042241141,1.8881542363128385,2.392816242756646,1.61009706215868,1.4017458088379042,1.1564768390869582,1.2098733583304364,1.0918167653088173,1.0036296563714864,1.0407710970045063,0.9619836825432418,1.0006616350123636,1.4958112561418726,1.062268728744175,0.8923095131593793,0.8008544415368795,1.0056408286383591,0.9526124035831222,0.86888292937507,0.9482019521041611,0.759000360110049,0.8695470459481096,0.7980144798970317,0.8520325350521162,1.1395631533864017,0.8772393795072446,1.0239458614766002,0.7441796980490977,1.141279163794815,0.7568344734143084,0.6803410459972621,0.699970087996184,0.7961419223890029,0.7006993873741876,0.7750184071324868,1.1037054392351444,0.8564191499589777,0.998873119953654,0.7126499375354783,0.7641011976636132,0.7237791227493985,0.7156747114795946,0.7099235422986134,0.6535975625780372,0.7518824694339872,0.6523471151753683,0.5492376070627523,0.5128686289475474,0.5962345030534014,0.5966267097695008,0.5237038380453993,0.47416549244746836,0.7104135931611961,0.47020912799960785,0.5164887309118195,0.4539278012780849,0.48821974350847425,0.6316913553585772,0.5914764571687234,0.6451450629857143,0.682081257422666,0.6139262291338481,0.6151232918576812,0.5083649963731147,0.5106267140096069,0.4604856135306568,0.61645769369625,0.5578231539487651,0.737932091920724,0.790366675345288,0.9316872527042522,1.0161450188401842,0.8463430485757875,0.8540368799760969,0.7206780368557488,0.8426930677506519,0.6682585803278634,0.5682904543594448,0.6994796984539114,0.5740027364326008,0.6536225003697248,0.6928427107769527,0.7683346328271566,0.9284679245405136,0.9136458021271303,1.0238232249707304,0.8491116793273601,1.0484381388373547,1.1277154229541466,1.1270645308989415,1.0615047411082188,1.005112049654646,1.0211979199273524,1.209993952471475,1.2840584561689423,1.0410327473624978,0.9287417011413485,0.8791324056431731,0.7337316579876447,0.7247453203713832,0.6164624937735165,0.5234216567612998,0.4178285321815369,0.4092284873689897,0.5151871393250961,0.9507433056083673,1.7066088878130525,1.2453878701952645,0.5720648297533513,0.3879225350307127,0.40212833312987223,0.4196625738587385,0.5103214013956519,0.6939826716755728,0.7031991889963988,0.8635493783135499,0.848213519903514,0.9935638626379829,1.180455587537352,1.2261631933528712,1.5321419735391624,1.5003158287701508,1.4092050164965064,1.1695545507278728,1.0197989723657315,0.94011293725319,0.8153492831540422,0.6898683555391212,0.5826917618696837,0.6092218096577712,0.6918889464503418,0.6608798991904363,0.6472329784587539,0.879251166743576,0.7005420863832406,0.8579632201597689,0.982907107652284,1.023789179464517,1.065606883894466,1.0148352181795206,1.3874375016992344,1.9479694424427076,1.7112907269322213,1.9206814672043175,1.506406291163998,1.6718924574484182,1.5828817112683986,1.294368524944006,1.146552620323503,1.1110502385030983,1.0450785579897466,0.9513183028034369,0.8968785524889235,0.7264868922698796,0.5812079379233753,0.6125505534177311,0.7369740184139755,0.669298547674089,0.6494247487778777,0.7738849224153894,0.7340796346413903,0.7132652775350783,0.70487707068277,0.7832839384604339,0.8380488609670192,0.8777899164443415,0.8874759502006738,0.9640450690490063,0.9425960888875147,1.1841200441099553,1.0186973021322547,0.8921459738206966,0.8726843221445651,0.8958247651522033,1.3502962689024005,1.195231287943585,1.6625277425122074,0.8949705838990695,0.8587255065808506,1.0470602408002359,1.0168548448199493,1.108577031100778,0.8699425338301521,1.0260085673922705,1.050158031209857,1.212800007953922,0.9803960075316054,1.3016148871603765,1.479033479684773,1.2762431417926225,1.5666520979824776,0.9903544886613541,0.882823409370745,0.823500269283149,0.8041075231214743,0.8235482900041048,0.9027248715912436,0.7546264754633812,0.6931099536035913,0.728734935301009,0.8755086524957968,0.7684557893048218,0.7159499791169154,0.9043321029162933,1.0390259105114088,0.8310695722695208,0.8716856877001476,1.051805951857887,1.158011107576265,0.9533887709941596,0.9862660805144694,0.8471947012790453,0.8030351992557023,0.7163357928886408,0.6851123643936331,0.8355025133743603,0.7354907706507432,0.7259853292380061,0.7915568568540214,0.8068682379478033,0.8199831102238089,0.9238216574356075,1.0672481406754335,0.9832881050935527,1.0895832281824815,1.1688102444367623,1.5617098728573922,1.2936986592895319,1.158708398259633,1.4769296765927853,1.4672969113332976,1.4733856302269608,1.1457890759983869,0.9297717103632743,0.8014967531758624,1.0390415031073081,1.1023991503077688,1.2594169766201389,1.2150099835946142,1.0216291738550591,0.870423053072152,0.8362029664232623,0.7460143273930873,0.5761298459843338,0.6132110915580304,0.7712082312317636,1.0619088081201793,0.7367104152871409,0.6928298532903526,0.8140968351856755,0.7780092668197308,0.7010606980535635,0.9240266500303576,0.9520058378568013,2.440847039449901,2.5890248184045928,2.8445862163682665],[0.7211969451848355,0.8105367268500292,0.6878602197205953,0.5915531341346877,0.699524291714296,0.576629419470359,0.43765779538280764,0.4356528014658637,0.4471580078514541,0.4341554491025207,0.389131962310073,0.46228634246874584,0.45411341957254087,0.46785854542510846,0.4852654985279249,0.497611819906543,0.6270911119764256,0.6407188240846428,0.753520182321341,0.7491263343647575,0.8580970681531804,0.9011060532168199,0.9938385408135972,1.3823215780810325,1.0721763672599944,0.9928998600507469,0.8552212337693861,0.7408803655464755,0.6415569880966137,0.5675856203900836,0.5311080758147578,0.5388716919950161,0.5063219057151634,0.5554043728085043,0.5577446965479195,0.609002337215017,0.6238736581149656,0.7107489762600543,0.7553283369878926,0.83374909847495,1.0960222951433336,0.856348230970242,0.9136297261156497,1.026707360553118,1.282668823792064,1.8168125549578409,2.1665340694928132,1.2956253318258646,1.8084735407232717,2.3732368758346163,1.5350291545966621,1.396308504444893,1.0855668361464303,1.1204199014030665,1.0294002314224797,0.9502841308388952,0.9972008808736739,0.9094770273642996,0.9491101921163035,1.495224722006065,1.004893781456127,0.8563866604019621,0.7562934354159012,0.9212087779449275,0.8708438864577993,0.8103856407922558,0.8738018985427404,0.6919323366795587,0.7992225948545473,0.7295517615282163,0.8032638890315706,1.0912497246421815,0.8208892055315883,0.9261923357799758,0.6612472843148471,1.0738408309962442,0.6872783679465763,0.6264593125878082,0.6468651144209043,0.7768721369980892,0.6742972609974925,0.7329131853133981,1.0756276502294508,0.8788827481568146,0.9899975518043657,0.6968107616783333,0.7282932825951965,0.7307566691901951,0.672875489668758,0.6738624249106819,0.5972381223002524,0.7270747230968695,0.6083254465453037,0.5209764424266388,0.4979134336795896,0.5810334766030578,0.6019813684265465,0.49612244138678135,0.47272270064899397,0.6663717468795534,0.4883075060104228,0.5683519718848211,0.514089075198159,0.5504936872914076,0.7014797468483994,0.6629131371057233,0.7136679807107652,0.7765491610884225,0.7061236021311449,0.6895892118343733,0.597338099168152,0.5696503300513022,0.5102027382226735,0.6341980793625911,0.5566069051809349,0.6984087497406349,0.7428989964552687,0.8365666949464146,0.9040129644117615,0.7347073059241729,0.7324360283952771,0.6506132287445108,0.7616992269778358,0.6297769520790312,0.5608710856973456,0.695655219134955,0.6356552294820077,0.6936567841153564,0.7517862385280824,0.8175986235117958,0.9738240706160465,0.9730991921864723,1.0524727294770935,0.8847005029789942,1.0569863901228542,1.1379676378273256,1.1254736958649811,1.0405828109888684,0.9479889540614412,0.958769898598189,1.0983148527695161,1.1724267252213791,0.924390418627717,0.8492735676677761,0.8176493192414339,0.7010208448568551,0.6972824409259262,0.6335160277638171,0.55101119332047,0.47400522828504155,0.4571294056323564,0.5091007882563778,0.8462381497427311,1.5141701929490232,1.1490256225666895,0.5264069724462748,0.41705476447965706,0.44016675339982564,0.4669669906179733,0.570960623836107,0.7087017498825292,0.6953889366520725,0.8320100252717764,0.8163016796719106,0.9355905736500746,1.1008415162696898,1.1776305810119851,1.4686842574206425,1.4563414845661622,1.3582779252920427,1.13530254328622,0.9863418163275032,0.9243992612705619,0.8197242699874272,0.7092296389273725,0.6136963353720343,0.6229396794885301,0.713411638565412,0.6821132148902809,0.6847889841604025,0.9107900414991833,0.7426495527103957,0.886473589956708,0.9949946162170522,1.0259609518146913,1.02754141575969,0.9484901983647347,1.2799979809219306,1.9432820164501408,1.6125121505362472,1.843231002056567,1.4470940013649292,1.629560493706839,1.5561170472143435,1.290864678775406,1.1713771073496948,1.140037428768395,1.1003514455794867,1.010292049809687,0.9853895117002057,0.8335061870148469,0.6981299387464082,0.7205070409321422,0.8257866315598754,0.7790501763218853,0.7668309786637999,0.8560380959064915,0.8327934874085149,0.8003122087286328,0.8092450168219264,0.8795998821969571,0.9058775502446956,0.9316167083561964,0.9806620431720718,1.0274700065079243,1.0158752496109709,1.2356951460101608,1.0486393139915953,0.9449761240763119,0.9345334970410398,0.9490214390798507,1.3283842282254106,1.235698364895814,1.7570061848683192,1.0062918807429584,0.9525467468638213,1.119078023557069,1.0973821506635009,1.1685896249137628,0.969573623250001,1.0966097813675666,1.1369452437279344,1.2692834664689376,1.0490669459406243,1.3536973778418395,1.479201066423239,1.2947224785736853,1.563949154994332,1.0431977282741964,0.9661559416001929,0.9400948660527091,0.9267319016403571,0.9505467094840426,0.9527258556476201,0.853838859800666,0.8116481207262727,0.8154721964376354,0.9170511677923985,0.8528022480844686,0.8006352776634305,0.9050500025884484,1.0104762509453074,0.874005831636569,0.9045315496301575,1.0395456660380569,1.2248355204023282,0.9718497830049658,0.9911026531691167,0.8853325050829285,0.8677296564416257,0.8049735407136727,0.7734505982601869,0.8974568223940782,0.8319869616816268,0.8310837779227246,0.8745720721841185,0.8847355127246462,0.8993532304512688,0.9908481834900932,1.1123130191917598,1.0185182030306466,1.1077976182972515,1.1791485540479105,1.5740565622450593,1.2934300426473266,1.1565391814615391,1.4642341347764798,1.4325075474301807,1.4072856901568833,1.1403986233949834,0.9684722061406189,0.8748392598996443,1.0416627056652907,1.09544225935305,1.2235221116745507,1.1902481152045543,1.0482771606602581,0.9313101514586736,0.9034045188409301,0.81037203864222,0.6785309269396811,0.7266828753716099,0.8862753777341114,1.0610997567776665,0.8795719987426015,0.8307997203523116,0.9875406618159822,0.9531009416719224,0.8641711103948033,1.1302514296006287,1.094662552816021,2.48295853499368,2.3406573929107046,2.7897405560340642],[0.6810892219942288,0.723150897506209,0.6241109567733347,0.5398930982758379,0.7116434620481424,0.5162299758570338,0.4719053340754198,0.46325974248635265,0.4923169168060702,0.5818259660738393,0.5339513644913759,0.5565361031080632,0.660476592510257,0.682265780644555,0.6991195728291312,0.740636888913879,0.9297855766586586,0.9871725872622986,1.1566535414768726,1.1662405228132158,1.303116912402024,1.3424939534042233,1.389606628831178,1.8660450703678007,1.513344952202989,1.4389379050610123,1.2860002596203952,1.1271890897838708,0.9840470721212848,0.8589289152027271,0.7948609737922209,0.7612542271805834,0.6681159475910294,0.8080441152261211,0.8391835663628989,0.9473707328188246,0.904929737466553,1.0829279768377853,1.151383550414813,1.258822943098608,1.5313939870950657,1.2969968845523676,1.3749508126708452,1.5143929265407219,1.785348632786786,2.1893400657109314,2.5529742695597544,1.7869820316450544,2.098443675312524,2.581774209142514,1.8991444474967154,1.7302361595621876,1.5004169316689868,1.5548980577569296,1.3806616685636044,1.4294349194015745,1.4740542693215128,1.329098542681317,1.3628103665558977,1.8863202771200516,1.4471197076084585,1.2491886132935408,1.1543384105636298,1.3487117848277763,1.314738361410098,1.2299749639875133,1.2696416413085962,1.0716468023364731,1.1444162330388845,1.0285282509440752,1.0734011603942601,1.3386173975930455,1.098334333643799,1.2586509604832576,1.0121279793521842,1.248660084834091,1.0609244552576917,0.9593043336042418,1.0129551672569252,1.15439719709746,1.0365321960303076,1.1125966003673005,1.2464096001703227,1.2322745681434781,1.3246691853485888,1.044823084060248,1.1067405918494397,1.011476590048183,1.041879220829122,0.9566927947561621,0.923072295506441,0.9720660881396145,0.8342572779487439,0.7225404966165805,0.7009972657097027,0.6978473303473346,0.7489789078416939,0.6244546120427241,0.5858696694251809,0.6906115450793693,0.6182754025698177,0.6127910906165773,0.715695397657439,0.6431710113979923,0.8732659753924197,0.772886086671409,0.8204793923030113,0.897741759587411,0.7613885848009316,0.744693889755116,0.6559801364500909,0.7251994233317196,0.6285147905848232,0.826457866631786,0.7959922875082097,1.0065117277986535,1.0991675850590947,1.233996013812175,1.291073949454655,1.1053593202863445,1.1040478574494994,0.962975046096134,1.083271628561871,0.8936742331000076,0.7134087522103031,0.8801674867071205,0.717386886159639,0.8312788864585192,0.8751952361164417,0.9825673401843098,1.1310476393589897,1.1531034959354318,1.2876005720879378,1.100880186585702,1.279185269043236,1.360274330647658,1.300655106246873,1.317536219411058,1.2778020395830312,1.2874773173388985,1.443344906228472,1.5438874093315342,1.3339843684636823,1.2419079867804208,1.2202888260224576,1.0454745596109492,1.027392530594845,0.8913145460659021,0.7471650801206651,0.5917292460086282,0.5107199501656832,0.5109314902226765,0.8267358643768355,1.506551652701159,1.1425406937482925,0.5564608689211344,0.5185985549127375,0.5123693448501192,0.6586272966857868,0.7213647449601518,0.9567678454840959,1.0099661642812956,1.180028419897636,1.1769799470098965,1.3040136316225681,1.4671970897629434,1.5165170091530722,1.8040905234360263,1.7403033709810922,1.644968090843978,1.4186393260868,1.2941746392919633,1.2315688864629126,1.1125900571181302,1.0118333751087618,0.8700768725140352,0.8864093764055643,0.918259748013874,0.9800940199448126,0.9436121174358804,1.1942697524766746,0.9761488513658979,1.1554716468355077,1.3013370017576527,1.3262828604119823,1.3876322947654296,1.3606310831586554,1.6480700540745952,2.1094054469356087,2.023934731484454,2.259088485630681,1.7973607210954956,1.936918950688624,1.8038537064962352,1.5367024092832713,1.3963599347435334,1.3199297940495698,1.231351093161542,1.0708069396172217,1.0295613053814614,0.8255269457520453,0.6787420047693772,0.7104807784852878,0.7864087986637672,0.7268667520158347,0.7217931157200232,0.775408548290815,0.7873118431160283,0.8024914064484864,0.8295339377303332,0.8974707992126757,0.9839954987780345,1.051474493824704,1.0955646150140852,1.1777055425231642,1.067952656437752,1.3482371841907128,1.0265032622394676,0.9256039340260929,0.9584031985159848,0.952577356766326,1.3604103913234578,1.2187649265596114,1.615937304332919,0.9817894320509412,0.9143133557340417,1.0856162751759437,1.0691940057181812,1.1691400678348305,0.9745809872113044,1.1021481638577049,1.195094076728754,1.258954020826064,1.085881801754024,1.405041240567647,1.5786443663604797,1.3187073946988743,1.616610123792974,1.0629848945885714,1.059336151884077,0.9824190301102889,0.8952803131971618,0.9288254947437733,0.8931935178613385,0.8355654488031479,0.7901666977391096,0.7698982114502618,0.8556496807615949,0.8191566666842619,0.7577160066590977,0.8818145866292656,1.002419714031476,0.8664911297410157,0.9070600872171684,1.0548660872421698,1.2161266491927063,1.0482390852690249,1.068635060214592,0.9236950660334172,0.854743488413411,0.7659727812345686,0.7340915028271005,0.8759900062289598,0.7920130666863248,0.7869269707534021,0.8378828614983818,0.8437381954631769,0.8570380454047567,0.945027626981985,1.0737278331403075,0.935449966646837,1.0561631912859581,1.123355036358266,1.4504231537279086,1.1870780158285696,1.0428655524674877,1.393905186228464,1.3774148196545704,1.3765255149025013,1.0657289640437533,0.884016785436439,0.8238501305101038,0.9210697835873188,0.9704697249918507,1.1299492361552368,1.1323406523739605,0.979106173306828,0.9047143773898013,0.9283770708951473,0.8445524121106687,0.6581577889108111,0.7179849179024053,0.7983628001062878,1.018808608418228,0.8646243103152632,0.7260490760564831,0.8295688790217978,0.9149688002266103,0.7037861955594537,1.0499396912209653,0.9621280737817027,2.146719326842639,2.0075896798214603,2.8748493947718647],[0.6729444241746811,0.68222424935965,0.6270347396710877,0.4997485853311125,0.5828987618697588,0.45500677925026567,0.39989468349917395,0.441331271018114,0.43975498960208426,0.3550197260431001,0.362743695095057,0.4477867945424283,0.38085756668288373,0.3728493288742598,0.3956344379103383,0.395413209664242,0.5143763743035559,0.5343220659320578,0.6932266150766886,0.6712240919478115,0.825700466941649,0.9031253298895138,0.9674024752819023,1.4113099749724922,1.089150663564952,0.9675476244319651,0.7899821230567675,0.6456717587329442,0.5478404895928725,0.4809015273396751,0.45364398036009346,0.4512005063710042,0.46525548788290505,0.4837581258828665,0.45375215714885575,0.5244139009047349,0.5291921538229976,0.6367435489752847,0.6840091398858944,0.7973387334701793,1.0951361697115027,0.7990372452815911,0.8779355088576896,1.0210266863806317,1.333579308349077,1.7952515375375286,2.253227868257176,1.390825934219253,1.7054293501471034,2.341147268672105,1.5282555509961775,1.4651368852930065,1.128771979032714,1.13207788443679,1.0146485662770506,0.9579274461861425,1.009057227955422,0.8618958542784421,0.9030679597627453,1.5573358985041335,1.0189273121885984,0.8261333200855182,0.7157156939529105,0.8847945862296772,0.8546572508399061,0.7773809438254912,0.8040359375544649,0.6169091638705734,0.7488700569994498,0.7040300535208941,0.7580841160577662,1.1003571737235769,0.8009139059128862,0.9310889185085117,0.60274082395651,1.0776807142433804,0.6292033633520933,0.5704066116927062,0.5939849109710215,0.7305324716405489,0.6173438431933614,0.6747560957169505,0.9923844677937438,0.8741193615132211,0.9659638545199664,0.6195189400904914,0.6462975055648216,0.6477569402197436,0.6030268779877395,0.6066451698238824,0.5175047876062312,0.713703271610436,0.5666233778351365,0.4478547265299347,0.41550100316163663,0.548741567200529,0.5647509694461937,0.4488978626348471,0.4500692613947659,0.6935399855467865,0.45664257410199155,0.5545381073825453,0.4589689426065655,0.5113643301748548,0.6956947015202462,0.6244181946879674,0.6708897261267834,0.7102685166887304,0.6299605937810803,0.6348130264478957,0.572371027230453,0.5195726942658643,0.40014115649554166,0.5022563249716538,0.43443287144959314,0.575549071656274,0.6386068515284498,0.7353752319372586,0.829335903112089,0.6479255864877569,0.6559461646918802,0.5380669017261451,0.645646076729737,0.4748693523766643,0.39234219736843023,0.5551910928982654,0.5785714540153002,0.6308023901193434,0.6914975529250261,0.7564216653715151,0.9147585652967702,0.9502598076380506,1.0168803124784185,0.8446717305644101,0.9730097803179635,1.0433741032195936,1.015234968351322,0.9628800121357123,0.875955365550033,0.8750557498634862,1.0088504841696264,1.1439160269294957,0.8535971815302407,0.7724732594363157,0.7546455232632051,0.6237836922383669,0.6077609332520403,0.5286477727415276,0.4419815071074086,0.41260079256608734,0.44052179854046514,0.5969112759883548,0.9500770687604222,1.545448629473205,1.2028974966991963,0.6203720639514395,0.4385351753196193,0.43858196741889405,0.41174860540679487,0.4902995516460798,0.6132660548369254,0.6059634915140435,0.7558841146384115,0.7554689896308948,0.9151315507777984,1.0837097852080824,1.169617560932532,1.5086360549913724,1.4778029435686073,1.3410852609674755,1.090201676009955,0.9126382564122144,0.8587084348607471,0.749630930760309,0.6347669706293289,0.5450854922294862,0.5444075947233668,0.6290129420555672,0.6171318311340921,0.6214909407395465,0.9043291621714418,0.6650923023758131,0.8439995376945194,1.0026298640105036,1.0018591562095494,1.039763971803705,0.9499701999528566,1.2820101098935373,1.9869023440035547,1.7025834686110932,1.9730271616706279,1.4886491414079916,1.6585664366635662,1.5776495684101743,1.314857075963814,1.1780723676838594,1.1111260598029848,1.0824798919952472,1.0033433768720164,0.9548967913394363,0.8134773372369378,0.6707803438668117,0.6766141917757811,0.7902064129241695,0.7574667836087247,0.7573812053354764,0.8052649635779343,0.8381145046524565,0.8750370649148599,0.9037493120609053,0.958718535274428,1.0482031656411257,1.1233925696308438,1.1649684314286073,1.2235500453698849,1.1070015947747383,1.3710144708992467,1.05826163314055,0.9754988460908607,1.006497779457739,1.0066369018409849,1.3761320691813899,1.2735954798493794,1.5992414668577157,1.0268165414523271,0.9672594441735157,1.1149446471353122,1.0857593817776194,1.2522855606071446,1.0201727781162997,1.099387803110143,1.2022904128295469,1.260570219076219,1.0809373342661177,1.3989035146468736,1.5983506858944543,1.3400718443740023,1.644102911421666,1.0601398817529537,0.9789542277489828,0.891181430663847,0.8373401162854253,0.8402844130156257,0.9031114287963118,0.8014567896276437,0.749867181244654,0.8020217031568798,0.8687040884744093,0.8074852529270516,0.8085540903446529,0.9510426380044336,1.0765580005125148,0.9406966176118884,0.9756937116919342,1.1190055117818363,1.2358462015243357,1.106542957633084,1.1274759117801725,0.9858921685253338,0.9133840677574354,0.8326686179172644,0.8006635385925363,0.9432011280307487,0.8541375414116716,0.8484147490182204,0.8901040782052378,0.8955765981383638,0.8931086911032098,0.9881154397750123,1.121864092084356,0.9862460421758988,1.103416059263717,1.1859405213283831,1.4969686652134222,1.2469784796990404,1.087123993504416,1.4315479294899203,1.4165446619634992,1.3959301222621696,1.099723421560892,0.922641812527596,0.8738346181136327,0.937748730855062,0.9876524700093273,1.1774842960989775,1.144546828280021,0.9831733270698818,0.8716547065322444,0.8481078910063805,0.7242006507939784,0.6389375713214195,0.6627207532358556,0.7315647832011013,0.9849738844811656,0.7824263711242859,0.7096791615309785,0.7150436796986325,0.8018166809626396,0.5905175213810427,1.0306510984230486,0.9270717383859375,1.7381569258297567,1.6178002934903841,3.009867155307321],[0.5971426505309884,0.6364105463053552,0.5260480903660407,0.4488093509319655,0.6051052943989472,0.3888939754128356,0.3604896843071705,0.3974673472927631,0.4116139041965631,0.3595158937058424,0.38234322890569444,0.45057853908097956,0.4030160570185725,0.3859267957968398,0.41549746114876174,0.40281447491125705,0.4851058400570216,0.46917314110337494,0.5991798582502978,0.5832334149519759,0.7288021796740447,0.8301925793173522,0.8842103893572564,1.277486313027953,1.0079210461056685,0.857404842395836,0.6928823499129086,0.5652274812218,0.505122326596781,0.48027156558658357,0.44813669582264276,0.46055483880001424,0.4711497836639287,0.4954053935231939,0.4651136843746239,0.5081573659632257,0.5309591134035175,0.6182707914663804,0.643080793118637,0.7676761236571644,1.0470532483321169,0.71319472235001,0.7959450629054171,0.93047467934755,1.2374094945599856,1.6859113047404133,2.154219160525234,1.3221876552511043,1.613796595496226,2.2955912225691835,1.4647216353261996,1.4589034164369565,1.1147141996391654,1.0996088552697625,1.006956466205849,0.9101552449793926,0.9377723843692919,0.8059388185863161,0.8391505345142721,1.5089654681033358,0.9452383893409826,0.7608873692076648,0.6614597046149308,0.7879650224749073,0.7721085980040879,0.7206677537913607,0.6968364901104045,0.5455567559108586,0.6929231469193451,0.695069679304845,0.7422475506572996,1.0931167184053672,0.7791667387847561,0.8967609762907072,0.5635090763112057,1.079966717130344,0.5856587769878542,0.5514405347637982,0.5659750231487323,0.684170780042932,0.610895888010541,0.6673438541380154,0.9760318797855544,0.9036643115123874,0.9671204004557953,0.6113181123601382,0.6170319752187092,0.6499443160438735,0.5626440382295811,0.6129745010898515,0.4981754081232117,0.7348485196987112,0.5958118421176775,0.4387520041731149,0.41513421742377954,0.5555722676708144,0.6041688082836663,0.4923102606381182,0.48160852223352074,0.653690111621473,0.4601826267546331,0.5436900039061751,0.47489417653662547,0.5055692778586225,0.7494312232715942,0.6338697066728565,0.7078615995550981,0.7702316209724301,0.6662031995317637,0.6513937759712323,0.5689612055209484,0.5285384574662892,0.3935740840608831,0.5031813082383619,0.43802648042672543,0.536983040362673,0.5654651160309597,0.6267843630106039,0.7101149934686976,0.5671949926200773,0.5766488024413965,0.5099233322115997,0.5764071655245798,0.4483203506534578,0.3794682597118568,0.5456784635682869,0.5752871573858718,0.6537735523331781,0.7325036859099442,0.8085640415143869,0.9733248528590929,1.0128290681701586,1.0716990608632948,0.8978680582025799,1.011331493749775,1.0724382506544878,1.0502870451553086,0.9684433554619324,0.8445968485659313,0.8342868977251672,0.9116099380698596,1.0587364541288753,0.7564364270261064,0.702738638837543,0.6986509879190743,0.5981863955711587,0.5860811446567912,0.5316841582685988,0.4509297791381518,0.3984189752282525,0.4308578831517601,0.5530390107952755,0.8298916787781327,1.404066631163718,1.1319468656507168,0.5765063474868722,0.4443487864600616,0.42576483050927383,0.43263174202318383,0.4938513188788358,0.6275311697500363,0.6117570314935179,0.7296613562486539,0.7353367684340445,0.9083370330300056,1.0589248099764321,1.1654240741830457,1.489307254146965,1.479564865598553,1.3382344148221679,1.1003920101865936,0.9101569895079128,0.8668371554385496,0.7678640824044786,0.6586729859573592,0.5846564751879451,0.5649572182676653,0.6372724343742147,0.6386112935774441,0.6519340387910203,0.9295780403638466,0.7053976716905869,0.8860097707857386,1.0383999371420942,1.0233815937052262,1.0408258410849427,0.9229453196400156,1.2432810553607507,1.9733547738523516,1.6655762115337467,1.953602747698735,1.484856307847311,1.6730043199435733,1.6018272689656514,1.3569351448490965,1.2404955112724856,1.1787281217383783,1.1584298962858828,1.052841946035361,1.0028305609200874,0.8322960470081696,0.660306005451213,0.6827181880836382,0.7731751458299728,0.6928896516255113,0.6659855445947964,0.7295868722570936,0.7187648028507562,0.6861036559185365,0.722682296159819,0.7739553403439107,0.8226834897800729,0.8965885675578122,0.9722970561780019,1.0016507099884424,0.9339910943039591,1.1386154093853362,0.9099822657695483,0.8407045532116526,0.8407806132750515,0.8697782771134631,1.2273330485944014,1.1355000709343142,1.5414511773120623,0.9938721755341602,0.9048395846556048,1.042160942665403,1.059347606852886,1.1881397433597485,1.0006282998796021,1.111390389311461,1.2449883790800307,1.2957727592007025,1.1218920516301063,1.443911103816198,1.6138876719925592,1.3685718001087221,1.647068450315728,1.0841083947633132,1.036362328750467,0.9610852314420641,0.8739849407801352,0.8889683824019741,0.8194710417230608,0.7812724292975894,0.745490468743568,0.7194309151907807,0.7600317027447916,0.7432587100015104,0.6957587881419494,0.7649047588457648,0.8969930004226266,0.7526765659807136,0.7519057330514405,0.8745921808606983,1.0928164926551858,0.8656404705274974,0.8636100641471836,0.7615197681247671,0.7276821197039673,0.7038813391630019,0.6967543837755574,0.7852819133207831,0.7215076038902508,0.7832380127533488,0.8130774209034868,0.8077501270124359,0.8558704697685853,0.9678995510907019,1.06093140252274,0.9494298138583471,1.1069682723422465,1.1732405709023306,1.5176938761852574,1.2515871446403315,1.0529627291688624,1.43310645016177,1.3434015580830077,1.1876354190847356,0.9659907531392897,0.8198354536123228,0.753589816683977,0.853607930356564,0.930899026384164,1.123364734239216,1.1435094187813664,0.9905490793711174,0.8892476937713678,0.886895112125424,0.7467830472306533,0.6046372097040495,0.6526016200025586,0.6926724770134804,0.9421008870176801,0.7973102777376212,0.6273420035094528,0.6862862672862292,0.8502289664324433,0.5473323488382275,0.9948753525714529,0.8697724529650753,1.7974133284788336,1.474212493811514,2.853940233440503],[0.6207439217788632,0.6845552606582875,0.5891175625508633,0.5655189166995008,0.7270296817165722,0.5698712721011657,0.5442644553789578,0.5589558080832112,0.5702951516899879,0.5843481771569947,0.592191274370943,0.6287219016103022,0.618954352197734,0.5966632275464975,0.6182847271312767,0.629357952312885,0.71637844369046,0.7171971718239158,0.8117533350272937,0.8332647144528137,0.9262228909312847,1.0000349773170298,1.038717528869735,1.4439465356723045,1.1548858463750802,1.0438962147692556,0.945511765485053,0.827405272186052,0.7456082402581586,0.7038538695179455,0.6515474342762316,0.686430671388716,0.6478262761612189,0.7105931582023974,0.7009203068608699,0.7248965753484329,0.7630353837006477,0.8569988776472314,0.898176136025598,1.0109575029264253,1.2421552545051306,0.9590427034428047,1.031884317664877,1.1539044999870658,1.3836298617959952,1.8795289793006387,2.280058394132582,1.479327656364329,1.873257130463421,2.4521096072271797,1.6663073496178327,1.5973745924103735,1.2623563084662748,1.2975761848476755,1.181884115588345,1.1157278306369385,1.145194545832525,1.0247597495733103,1.0473327355375088,1.626164189929564,1.106917964373655,0.9248831990733349,0.8486936878491862,0.9518750248653185,0.9583822064960308,0.8845029321618646,0.8788737998632237,0.7625065985353627,0.8579462207708224,0.7935891890728481,0.8480806581328836,1.1726852891109787,0.8940485029397415,1.0362305625210428,0.7434995788389821,1.1613188250728366,0.7689847576665506,0.7382312029747012,0.7754597427801004,0.8811785778436507,0.8252168868990832,0.8970033906620613,1.1237373179436416,1.0588192475542515,1.135666002690103,0.8657499030128228,0.8654750278641165,0.8442933848982337,0.784103058659146,0.8080671385274096,0.7111236827318715,0.8574027008124614,0.7517564436957459,0.6615534720936092,0.6536510189771471,0.7355895440036297,0.7756720465559812,0.679981602047358,0.6629626901945335,0.795352474366553,0.666006280905958,0.6888771833618919,0.704959268933886,0.6603000806383015,0.8837553567539987,0.7710761799591372,0.8373329371096906,0.8977743708830026,0.7888895738451381,0.7670475541964795,0.6728926667864509,0.7036976801311996,0.6153261617923302,0.7284349871799451,0.6488618262239333,0.7990185900250839,0.8119362805503518,0.8815681849818106,0.8972431278684039,0.7638020563561224,0.7763943338852806,0.7118757228079762,0.8170291997891237,0.7101647492548793,0.6395735796191333,0.7791734778270152,0.6936075073294559,0.8062754157082241,0.8640251697235478,0.9459968332669174,1.1164556419320304,1.13362530741882,1.2244725518992696,1.0426151854120493,1.1941271097602715,1.2467857564877403,1.2310185836586114,1.1975582004704286,1.0893765044372508,1.0650801225984814,1.1497691017374552,1.2262527658251923,0.9906138166982227,0.9555458721188924,0.9448812755186493,0.8284482840106066,0.823305310076356,0.7590174301176207,0.6688760691266319,0.6165631973493308,0.5801034685321442,0.7045360172266082,0.9359537958572847,1.5659345765088017,1.2899924081318856,0.7342330651592013,0.6336702480359307,0.5920370454060253,0.6538497430883651,0.6888835887805881,0.8443042608556534,0.8306000366848266,0.9613060119324611,0.9645049340844694,1.1137834401791429,1.244566945699777,1.3396915376876495,1.6132249195550523,1.5963798245749212,1.4846539283077025,1.2936470985638424,1.14590561920952,1.0856320039874077,0.9773834579641353,0.8736405609381761,0.7790238202859112,0.780234785054082,0.8075740280246998,0.8645610170839869,0.8357780017605642,1.082979979799245,0.8917430228752958,1.0453033758183508,1.18602571492374,1.1923036976636552,1.2227992102384766,1.1422235578826099,1.4365129503929326,2.0504789327487245,1.8124983073148715,2.0760208168738385,1.63385852950494,1.809324827827554,1.7213598303173103,1.4769823738609698,1.3693451630841094,1.3097291563182867,1.2436528082049663,1.1056415745749286,1.061625334732237,0.8844153248116617,0.7329580326513193,0.763975935851107,0.8312313945987679,0.7490576028158041,0.7240222536619699,0.7895818179959979,0.7589791144240888,0.7147742772849575,0.738614822101654,0.7826509974182272,0.8151857560668778,0.8810685362280022,0.9465481043548589,0.9628079220355513,0.9121039346432198,1.1302125375564318,0.9180283846052122,0.843025940015506,0.8364425736765605,0.8549241643204686,1.261788255351515,1.1007646359558594,1.5970503743977347,0.9992180998822384,0.9235637129432994,1.0518787824624016,1.0633443227282413,1.1692996007081164,0.9981542168446597,1.1138360261184097,1.2409442220210674,1.312924292922356,1.1220487186673898,1.4546829512992991,1.5759978574222528,1.3607179147892987,1.6555597157480717,1.103597251218449,1.1047497557515304,1.0313055768002337,0.9384097617658936,0.9966427467966246,0.836060683875454,0.8453265235547099,0.8194220101162533,0.7390399572214211,0.8230634139233058,0.7767312064218326,0.736702132615419,0.7878829804201195,0.9032918997063296,0.7719740484698941,0.7793307988737336,0.9089496729769981,1.112922199128193,0.8620604810587069,0.8634548724600144,0.7769986814608485,0.7637272532825887,0.7477532552181073,0.7301727574981364,0.7905515224018579,0.7489979898343958,0.8124080334952968,0.8281167441503179,0.8178522177754205,0.8714438670649172,0.9752727972787704,1.0465369007324472,0.9557749200270262,1.1084885167624212,1.162034128639786,1.5052510908346073,1.2635972580742239,1.0766388179601194,1.456089907006489,1.3829345117635292,1.2020061035904976,0.9927301300432181,0.8431917859701901,0.768160835203973,0.9043318281990181,0.9582906911301668,1.1168066766959102,1.1518444752809804,1.0298920466838903,0.9461332117074,0.966463553071876,0.8584595063778684,0.6892542992219467,0.7397831525654172,0.8101643653552363,1.0676052915368826,0.8868694918379169,0.7251237979336682,0.8493898909055894,0.9905543891927738,0.7147365218788331,1.0583906923998188,1.104113246999661,2.2274716414550895,1.8827533350065622,2.6315774177558167],[0.5226184722694728,0.630053838413478,0.5611433271039249,0.4783712940713252,0.6747475200383554,0.38057170619971187,0.305958660789917,0.32781279329618834,0.36245159946819994,0.3078138765848858,0.3207711965908623,0.38074500698570296,0.3615413735000997,0.3378903132842981,0.36766614776409073,0.37149904857050753,0.46685128789413166,0.4510807825442862,0.5767633590110146,0.5675554203283335,0.6897426254033817,0.7834573991321514,0.8237468018594715,1.2055208252095346,0.9628126693178231,0.8260649401253287,0.6861896973477658,0.5581890514500012,0.4830372359398847,0.4514697418249149,0.40582513983103263,0.434842505642333,0.42101871587693995,0.4601608749705284,0.435776704451519,0.48388013577854144,0.51960350744238,0.5895418474624201,0.6392944515237022,0.7532279184121904,1.0259289321956846,0.6993807930976051,0.7757985401380139,0.891791268544008,1.1674783215444555,1.668102414770951,2.0302105457488153,1.1998968074398038,1.6510480391082818,2.3080651612272582,1.4279594368191828,1.4008666450993446,1.0611781765631367,1.0549197974738334,0.9796010411158697,0.8673047895825334,0.9052965247433004,0.8031605533064143,0.8429182640297515,1.4514279184272143,0.9023103189571724,0.717683755350134,0.6111349120728078,0.7283016395090761,0.716935774305305,0.6687474971460435,0.6530193386827946,0.515511862154957,0.6479843945156852,0.6500682885003719,0.7042100186068264,1.0610420458542735,0.743359055152825,0.8360739209886143,0.5138599151926988,1.0003115968185947,0.5409204435377798,0.504321327930715,0.5307377169327491,0.6628537255432787,0.5995569639936372,0.6567581662578554,0.9863343638290987,0.8878271654977193,0.9628890564328144,0.6171909578489257,0.613048151710334,0.6405663243999853,0.5452701639287982,0.5803391503764199,0.46424779286740836,0.6947126386482748,0.5529550274672864,0.40698566589462654,0.38176490839541144,0.5160629147740928,0.5733882282149649,0.42764918202935753,0.4104163550247192,0.5775799346327743,0.405409258917197,0.4929384370867635,0.47071762097827435,0.49607431172268257,0.7518512073879092,0.6512462344010636,0.7266824617845605,0.7971914688604991,0.6917390951308503,0.6724264245677215,0.5643536481568625,0.5424086435021624,0.39552668793400325,0.5315056245715477,0.4185990757655972,0.5399441298135007,0.5723625305091993,0.6099046960287128,0.6719815413367477,0.5371291574483857,0.5336056171852852,0.48387399434802303,0.5700489565074413,0.4497345561391241,0.37930890239328363,0.5967461774194527,0.5616804321881537,0.6696351231491978,0.7497104047964918,0.8312114496428741,0.9928891660967771,1.0083097298197412,1.0723194186936278,0.9018682326266261,1.0494701021880388,1.122745453189931,1.100926498320244,1.010570088143773,0.8718221473723508,0.8468884022763659,0.88721853801059,0.9651836261941179,0.733800931652216,0.7045628296881171,0.6957541637663394,0.5921862839176387,0.5899610126866868,0.539240876867357,0.4568922095962837,0.37548668853739453,0.3872345872168389,0.46652725573000936,0.7146056846676329,1.324350923146973,1.0777214571825586,0.47693635571957305,0.36549709405563496,0.37160112235844645,0.4060726948714945,0.5071712555788934,0.6538221156583416,0.6193628905166318,0.741844194545113,0.7408494094780897,0.8939058214684806,1.0368714144138365,1.1403891999803233,1.4060728936170264,1.4059321075794895,1.314484958096765,1.1095510263358492,0.9343609263558648,0.8841801135064612,0.7829556291217139,0.6673312526411451,0.587714843317133,0.5626325567141262,0.638011365604213,0.6415299541503461,0.653989886382184,0.9004973052400592,0.7257359280350886,0.885792842240858,1.0123533282200792,1.0144479453831001,1.0085928043844665,0.8981912179068124,1.1965317694055995,1.913573998970508,1.5608262821013434,1.8282685185519127,1.4395682294679588,1.6167290152823008,1.5578524585046698,1.307725202027897,1.1941400317537045,1.164040624051698,1.1300719177153271,1.021492056592964,1.01482165016851,0.8384288718066034,0.6940147655884302,0.7132352649057446,0.7905327892128625,0.7199683741616464,0.6973015847770154,0.7644200356708833,0.7296505757919735,0.6622332330503828,0.6858826336209232,0.7270465737455813,0.7229119746064446,0.7669056910012556,0.838548218704,0.844034972526502,0.8318199367254576,1.0270020590654179,0.8403616039659683,0.7854645085868832,0.7674880633389866,0.7974729839235383,1.2272804611782682,1.015172607818947,1.5781200569991378,0.9751886496744638,0.8742374528954073,1.023685142949052,1.0453906362688379,1.0921687529510071,0.9571471351499579,1.0839597663261242,1.1461572559392772,1.2327026605206606,1.0426500735931035,1.3829758236443606,1.4437757786363865,1.2703680266693975,1.5653853599569083,1.0259402260990707,1.0240871605485158,0.9752595346554968,0.9275629330597022,0.9776559087078706,0.8680605278840772,0.8650304295716339,0.8207544458887996,0.7568083187552892,0.8076767736020319,0.78295699720598,0.7161294777355021,0.7374092290557487,0.8337074876259963,0.7045433789279444,0.711128200367764,0.7902820047001234,1.0613834448715125,0.7704855659062769,0.7605181261779823,0.6998142012196834,0.7102471781834953,0.7122460015242669,0.6936656217311156,0.7469504467319439,0.7161883741907222,0.7830540684685401,0.7853932616903975,0.7740417049716288,0.8294032049345048,0.9212090294525273,0.9769326327513507,0.8913173334940665,1.0328169626118227,1.0716339742341188,1.4319884750603944,1.1837954191978648,0.9928969659142071,1.3552722536478736,1.2836609561726184,1.1035666012749745,0.9234370455866763,0.79969182107391,0.7263906129024074,0.8838716040246349,0.9018243253579884,1.0295840824072051,1.0753738690738228,0.9746665861990085,0.9038363103194601,0.9060790174537144,0.8011915990683188,0.6178959770549005,0.681205445309414,0.7809007457032656,1.0532889401103542,0.8752112988427381,0.6972252661759196,0.8565852608341389,1.007556100727872,0.6789870635916345,1.0440084274553598,1.1741640795152382,2.2117025680369027,1.7518489801863337,2.497578849022717],[0.4663044000952443,0.5302568372393532,0.43719402499653864,0.3587536309853924,0.46940500206767255,0.32079496513346717,0.25414601642663825,0.3299920161560365,0.36561192794887715,0.26088828739376585,0.2847850142433763,0.40446763255514695,0.2789026742267647,0.27161903423146316,0.3212845099966045,0.2857148247748685,0.38706821807394143,0.38717934282570415,0.4975010172032408,0.48666832683405925,0.6054555310853196,0.6578096625611228,0.736708713099057,1.0625335577022759,0.8516298477973985,0.7442151161158118,0.5528014046268269,0.4380563542076279,0.37310251485978346,0.3308328895882502,0.3433448316895131,0.3583251310892799,0.39456875765796057,0.39563930871683234,0.32862613213666364,0.3640281697226865,0.3654123600274296,0.4362193975880082,0.4410861477353943,0.5144906514709034,0.804908440000441,0.5712754836124667,0.6066306659557752,0.7072976722319324,1.0093754051312,1.5884963615381031,1.8530393634393505,0.9647443193864246,1.6013750385476964,2.255830341373696,1.2534118615082575,1.2346343592705793,0.8631334500338722,0.764099103863212,0.8565927074021871,0.6458779993593946,0.694832527729695,0.6193665548788964,0.6881276675178383,1.2645183317777917,0.7377246188546037,0.5973620403380533,0.47953116673765306,0.627320432689651,0.5924760944424544,0.559131551203635,0.6188936983109811,0.4670732566436579,0.6300463371783315,0.6108031845271367,0.7151020682729459,1.0647146995243992,0.7341158186756406,0.7965693360256954,0.49395123167167976,0.9910943575573078,0.47467176413885237,0.45523017117676234,0.41361252820396743,0.5164630404622081,0.3988315716051737,0.4637155765608333,0.9982562129972938,0.6004628253413541,0.6917527943708556,0.4083603292303151,0.43333289187178536,0.4730837274302664,0.42080660635983425,0.5085729141649437,0.4088383653029125,0.6405883405942233,0.49112271888041625,0.3745410889848932,0.3582616598426379,0.4969294393747762,0.5276931626057506,0.4328460446812027,0.42413569051840394,0.6523755215628307,0.410685523329473,0.4977774715726739,0.31721668565820343,0.40976641678330217,0.503548304976289,0.46164021571706493,0.49254965754111013,0.5135705803046798,0.46373256515509736,0.4693699686726815,0.36300908083042455,0.3208476056975991,0.2643811119528212,0.33896835725362795,0.3030430632024519,0.39440925181641073,0.490053164443963,0.478038269637225,0.5769479571844859,0.4668260199698422,0.45086734890799046,0.40744594578075566,0.477023506814724,0.3427100110653212,0.2835772401191205,0.4144813774181101,0.39895511753639185,0.43612072000704366,0.4696986138106054,0.5241734538839505,0.6578636848126623,0.6518050622565769,0.7042157971866752,0.582657473646702,0.7227243499929478,0.805794065814749,0.8290977281420889,0.6851499999345404,0.5768793722364484,0.5843646517445311,0.7387383212676677,0.7865206244328246,0.5651916475158892,0.5016414160657511,0.4751375755625197,0.40772105576793105,0.39369459946583285,0.35533737236927415,0.27703438099405814,0.3227203650199603,0.35635277152852446,0.5608861663544791,0.8903200175067278,1.4876954395881645,1.182966228779147,0.5769049966652195,0.37499654864006976,0.3526241477439213,0.2899864801209281,0.3692727620524409,0.40379094095881685,0.3865425547559539,0.4850123673681295,0.4733325633144814,0.603288764400471,0.7716060988467882,0.8084221095095785,1.091894578760333,1.0883491186930827,1.021566604295903,0.7828872526322461,0.6283987839681101,0.5907503858600163,0.49823696927905675,0.3997491044653071,0.37146811168058586,0.3756935773324389,0.5365494273147353,0.3895539663059676,0.43815395275407615,0.6190073521030088,0.4315313613929099,0.5449864979042914,0.6429006394333899,0.6828053759934178,0.6863391553556276,0.6245928008823052,0.9397322479917032,1.8906790338697006,1.2295242868888876,1.4257682898342008,1.082765212011864,1.251527627363256,1.2206361838429176,0.9370980627202691,0.8220423957590053,0.811585227952253,0.7699862690085384,0.712503807836349,0.7265772735249562,0.5664851445902525,0.4816496279313639,0.49147239789308395,0.5840671659612421,0.5427313074739589,0.5544019767963971,0.6333541175597414,0.6021665080760787,0.6030643660066171,0.6176875778614063,0.6548563843221732,0.6708205583591169,0.7288565132528946,0.7775723031679785,0.7887156756856646,0.7748569899746364,1.013324593559532,0.7951358362252968,0.6992446750549167,0.6892433929118205,0.6829711298022677,1.291710538160762,0.9030943429672522,1.5218683125959889,0.8240077274254288,0.7085642055267968,0.8524749850101268,0.8416285679123862,0.8793153591299341,0.695753340742003,0.8923862472351306,0.8763047031644983,1.068257026448552,0.7636479907714814,1.0922571448027105,1.1762842491960488,1.0103352087289381,1.3863735678349463,0.757866473573207,0.6953896657123162,0.6826574883382922,0.7061771060012665,0.7750219456681103,0.787568939754404,0.7193560540184155,0.6310107375195662,0.6549143277279903,0.7656304542919127,0.6898193304140496,0.6225064275335792,0.7486198845759922,0.8767659508532566,0.6925001628553331,0.7065014253009428,0.8336817789437652,1.025616517834344,0.7635735171606983,0.7550152455054097,0.660338639049837,0.6356906933306586,0.6043308368908462,0.5695345198672656,0.6452961862832991,0.5895285096034658,0.6100575478795417,0.6212037822964871,0.633912579205902,0.6389398869589604,0.7222899877281418,0.8389745028945199,0.7573205250117938,0.85070571470056,0.8901255104415863,1.3540367045087056,1.053858934943405,0.9196162524404767,1.2038395293573552,1.1922134077745628,1.168835292902823,0.9191633323321132,0.7508627636249722,0.6524588134471773,0.8848049336088908,0.8701548459778314,0.9838142470495475,0.9863430580598392,0.8058133379200207,0.6939812073885365,0.6369586904636596,0.5495071344108173,0.4568353090464633,0.48447294206116,0.6514959882584257,1.030922382005589,0.6536822705668112,0.599890193730153,0.7675699063330705,0.8119420206352966,0.6089431843011278,0.9226394529385332,1.1499593809248567,2.3759538059229093,2.0627904724819213,2.463530942421249],[0.4229773817113497,0.4788624423658461,0.4497498342219341,0.33392672689094444,0.3964510839556158,0.3099111166598639,0.2679248465618415,0.3307528480226102,0.37562398920057205,0.26056591290932296,0.29190850800458207,0.39758937168747377,0.2625205310012231,0.25635229953547733,0.31109659495217007,0.28274939206071387,0.3260234997865936,0.3198722409713823,0.4203558730679064,0.39548480236152933,0.4931505100654161,0.5441492908494355,0.6497489363874713,0.9259331394365388,0.7645375062158145,0.6485507894101374,0.4483563233229935,0.3523920863104506,0.295087743710941,0.284355459566708,0.3273895411468693,0.3414064036252201,0.39003805126345814,0.3786247454634398,0.3020537404307811,0.3194048347766943,0.32361481327290736,0.36058197341193876,0.3400316928201283,0.4003391192064518,0.6721985205672216,0.4603489955548267,0.4859702743969364,0.5814577470001165,0.8833751609898844,1.555786421641473,1.7446402888278527,0.8469829096758501,1.6177130927600218,2.264824782134746,1.2024862654076038,1.206994157200718,0.7564510783975897,0.652937820012563,0.831908270512079,0.5327225397650763,0.5973266393279073,0.5346502326292882,0.6214340368886767,1.181868124023595,0.6527472039287665,0.5515658639997597,0.4264981681197066,0.5564676835917803,0.4973900383628066,0.4970441631721828,0.5646244122522424,0.4051932130261633,0.5538933559869162,0.5793483770313171,0.6773888260604759,1.0253606730203362,0.705896100943165,0.7260514025463951,0.4516628070694982,0.9632152320927493,0.41259073440256694,0.40869262897734293,0.3693217477750031,0.45055919114175114,0.33708291673978236,0.40447989184469263,1.012498307221673,0.4910057709604661,0.6016351540687842,0.3286801116921689,0.3383627070883267,0.4275599195614915,0.35552836705958185,0.4895718842910069,0.3736426782872423,0.6236781948741298,0.469377966432963,0.3513016054356225,0.33505602823114783,0.4721938107253259,0.520241206186271,0.4360032700283402,0.4317433425591738,0.6401867064792075,0.4160535875646407,0.489601859105123,0.3011798172816429,0.3942303486789394,0.46400942582748295,0.40029970966487566,0.43720669689860275,0.41154310711057024,0.37877220655034316,0.43314151975798076,0.30120173919536325,0.2531318036170027,0.23018951657537587,0.2436201518083606,0.23653071513698457,0.29824890030894363,0.4091231326793907,0.3697228637224351,0.5006504757135475,0.40426622891511327,0.37405388750859214,0.33862836133106583,0.37974885039877254,0.2502570620142203,0.21764262124510414,0.30239258335404445,0.2783623024553206,0.3362812284235128,0.33260840592061813,0.4155349918800806,0.5055641904069752,0.4992093060654114,0.5305719619808625,0.47754358424028664,0.5730575136659357,0.6506727848840801,0.6867349429317554,0.5316155882014311,0.4213562425535755,0.4520901951145354,0.6756364627840735,0.6831190175500146,0.4564356223000949,0.3688088736009994,0.3483279556319271,0.31867833574054905,0.28980335529239937,0.286659917015446,0.22543051884253704,0.31222147836458225,0.36185752650633113,0.5911347083505837,0.8756023250199984,1.468646013472151,1.1914465842147224,0.5954334188205492,0.39784863766432116,0.3617467332511697,0.27042526864818894,0.3259118688765024,0.31874162675158546,0.2893716921759957,0.3562009999697266,0.35439610713584485,0.4569942458690357,0.6241849005043256,0.6287700327053575,0.8944456220999707,0.8796238939530152,0.8374061262658223,0.6118243668304265,0.4886605953312785,0.4470126299293068,0.37519269191349813,0.30231404363931963,0.3175347922460511,0.33508855348345284,0.4959196792270255,0.3281393918625452,0.34905601148619453,0.5475074593434373,0.314756410931087,0.3978623222369658,0.4796344477649172,0.5326262136906269,0.5344474619827175,0.5091000222139572,0.8697705946617299,1.9127730965803926,1.055976445332882,1.1626133351951717,0.8905907783536251,1.0455555738502014,1.0369463473851122,0.7440422063653496,0.6287733927736301,0.6392577210302129,0.5869138795874217,0.5570485496047858,0.6235437909269013,0.4615379394469225,0.41603105552277925,0.41530934115935014,0.4939170775725197,0.46421421642835575,0.489107952511398,0.5596117309701161,0.5295752630592707,0.537371983351968,0.5600458839153575,0.5850759663203889,0.5925079609086329,0.6509331510378343,0.7052719472568931,0.6884711547951283,0.710215140392391,0.9289358256507112,0.7012982738184447,0.6151685283584221,0.6132505630795809,0.5803954061741542,1.370399835805523,0.7527080257325045,1.4740333610812926,0.7762860170322824,0.627641042422214,0.7455733087017157,0.7515557641740475,0.72590210381999,0.5746348970286312,0.8412559115448299,0.7323349945101078,0.9361220814744877,0.6031612138271119,1.0263164022252405,0.986242129993525,0.8599796380015757,1.2985492535606107,0.612853667643522,0.6125374669018167,0.5998323111718333,0.6563052577384322,0.740836271479712,0.7721349930009992,0.727193219577725,0.6063314634382152,0.6374458633022921,0.7677645651273614,0.6705571676763844,0.5902799817520521,0.719461436251003,0.8343337161437411,0.6325141297398909,0.6492408590401197,0.7674698157711005,0.9922453684373488,0.6890792999155982,0.665976427573522,0.5736032949488769,0.566950350133899,0.5489790090470377,0.5159383783396662,0.5650704124336813,0.5185453339331833,0.5301987137979947,0.5235640110097379,0.5412842127055071,0.5331478884623778,0.5924429165030153,0.7114081697085161,0.6362422811911141,0.7041475147805322,0.7451107108043966,1.2177459189539799,0.9308393813507522,0.8120442970204121,1.0966621064456206,1.0854882367992182,1.0488441223881884,0.8273443443222893,0.6736188770108119,0.5931875059532192,0.8580848389841165,0.7686828337566679,0.8420574960492454,0.8634944253317429,0.6795738155153367,0.5771093037239114,0.49988806544749237,0.43311580311888875,0.3770240649959283,0.43940946488698046,0.6559818511258783,1.1003294519355544,0.6337293855664474,0.6082908535835958,0.8746011788314841,0.8712938162373134,0.6529686486463973,0.9689617013679028,1.5548295966108536,2.724286606383555,2.504921691694104,2.7792535534362566],[0.43242171396325185,0.36695752876582005,0.3576783493561464,0.32078913430109274,0.33374225431607857,0.2882996172623478,0.19334797935612658,0.29267610883660033,0.3326726340378493,0.2747126718970087,0.30870904176046965,0.4157025356089198,0.29628486552979244,0.3047816196741676,0.367064547993936,0.3264564980966528,0.4001246083883952,0.4048146053500152,0.4569303024971985,0.4304523995961829,0.5190802903322034,0.5512146950364849,0.6439052643474762,0.8686697719643046,0.7223850054216834,0.631262668151906,0.43792374273780277,0.3852407735621511,0.34256158207432696,0.32483770326194067,0.35963219823120696,0.37386295238539785,0.408584074786789,0.4181871197807864,0.34848507212057045,0.37306399363362575,0.3499622200951664,0.34690824216115634,0.35219213765198926,0.38727867504708946,0.6417633287769414,0.46347686571672686,0.4837444410163702,0.5594076259503445,0.8536595831786638,1.514778679966082,1.6430018976727467,0.7889920923757627,1.5850529219668648,2.254088546119315,1.1374887097352628,1.1764515802467521,0.7840281405772855,0.5933304565674109,0.8770493580320652,0.5195129316036239,0.5631991322198658,0.5550438197871436,0.6651241270054166,1.0775999993397707,0.6246958538335617,0.5707294017260802,0.4299296513257552,0.5613407389292924,0.5034802291663526,0.5264002494341221,0.5893970384564527,0.4454165513683324,0.5947787093789142,0.5996402704849328,0.722172612977373,1.08000735302334,0.734946553440612,0.732811506292557,0.49864882860879073,0.9630094431740324,0.4379635091630261,0.45440131768909153,0.39222588727798596,0.47144192371381693,0.4016231919426811,0.4387836457292505,1.061710540532471,0.48117097643014917,0.5276968935682343,0.3689126127683734,0.37128482449668065,0.47159535433694355,0.38378871845301865,0.5449125184563188,0.4180798576760714,0.603229251914528,0.47309862406020997,0.391339268131633,0.3811398360959863,0.4753915155376161,0.5058326525030618,0.4373339027335937,0.41759197824002714,0.6468557961752761,0.42486910952491397,0.5099096529229153,0.30373805474973936,0.41712154522608,0.46216696751647907,0.4209564436498566,0.4587223323017828,0.38397014394523155,0.385855831953871,0.4365981568243138,0.2976726813355676,0.2463552130151713,0.20845586200458852,0.295200399292531,0.29660828600722633,0.3588223725931112,0.4559285589258966,0.397020736670922,0.5042409619258317,0.4818849122330296,0.43334387411021164,0.401658720754142,0.41769952127723503,0.3299885496738396,0.295270783587313,0.34699089718942766,0.32057023784744465,0.33506550111800215,0.30847930004565755,0.359843412800516,0.4364848549339996,0.4470843398261999,0.4673407524098504,0.46851120951560193,0.5322238998430336,0.6244916429200482,0.6842313005415023,0.4929560789670478,0.4227394076216879,0.4229340360932825,0.6341075393377227,0.6328499953732895,0.47225203228088797,0.38953872090199676,0.3652860746960982,0.35206410402707905,0.32664356662840016,0.2997907364552496,0.25102972982474164,0.3001269863725107,0.3564728901769117,0.529293532935069,0.9132710532322035,1.447324698740035,1.085364303283087,0.5568652266953069,0.3652374338996621,0.35806792664853454,0.29359872018123295,0.37344460825789094,0.31418604504928205,0.3240340086346128,0.3666664732479824,0.36211347247964,0.4651655895575313,0.6163103186567757,0.5737852635049397,0.8183682270651416,0.8278501809725575,0.8064897718320742,0.5569400327691645,0.4702299997730567,0.4417268509212734,0.37869741374616084,0.30773716164166104,0.3402890444906314,0.36779186058591445,0.5764369584210582,0.32793500171011364,0.40278213930749146,0.5177129489283878,0.33365276832834173,0.3879110983327177,0.4651738300647065,0.5140472854100694,0.5075785243288483,0.4760712907348827,0.7975440134966576,1.9521585854379155,0.9325092876351032,1.0171194952656004,0.7942868324825508,0.9457282325761808,0.9548488498333063,0.6594998465690469,0.531916522977476,0.536141056298266,0.49407983619399076,0.47099111679684386,0.5375142896642158,0.3747002547427285,0.3642142880532882,0.3482285343653866,0.4168566824322558,0.39647388038409653,0.42711451985593946,0.5038621472198901,0.4717017236877596,0.5087939238258983,0.506313633835192,0.5399063351023213,0.5638463711154721,0.6187526695697162,0.6837822537731172,0.6597876271316296,0.6815645353127305,0.9389318291036723,0.6786933822797613,0.5782729605306695,0.572494101092826,0.5340861987880293,1.4379948531748108,0.7348996533147073,1.4993404058167372,0.7270706476944244,0.602258213009363,0.7473226014143108,0.7358969040999116,0.6787102009753209,0.4864795220942413,0.8205522711253573,0.6566750413574166,0.9426722941463644,0.5330438964333136,0.9101743231260484,0.9316033313085728,0.7952130677256694,1.2138469244157473,0.5366401164955745,0.5464964475475695,0.5275223895556329,0.6144548626006019,0.7133877308804913,0.7970815368146293,0.7053248820179411,0.5835794856703207,0.6286741335660722,0.7953870464216692,0.6828362927598829,0.5767922261932783,0.748955380001196,0.8760857124438839,0.6369535892396762,0.6520035685184166,0.8002880379385947,0.9812963437511677,0.6788743132561332,0.6715118672044282,0.5694615312219083,0.5539401036954538,0.5244052088549286,0.49021553614708907,0.54849874096789,0.47832382168551485,0.48383062922811343,0.4779463440387421,0.5011053000765063,0.473902011529182,0.5237041714716504,0.673075848920784,0.5944856387132864,0.6547131845427031,0.6939499069861713,1.1916908612639046,0.8785972191060547,0.8059433915418622,1.0246314663505145,1.0229073930326087,1.099145964431408,0.8218315212243196,0.6605543077161501,0.5633836873552174,0.8650905590499093,0.7817404346323034,0.8396012380462603,0.8350559294957544,0.6272685462250639,0.5167231552029248,0.4258153890899844,0.37766055433831647,0.35286782721751725,0.40447558752184204,0.6384062094522304,1.084230263114241,0.5506685021602973,0.5779839468943971,0.8314052153851946,0.7562474174181681,0.6254008339913133,0.912757476791834,1.458471315825068,2.7042020993375835,2.507122633742559,2.6897654915882643],[0.5633193843275933,0.40076792171086245,0.42890689429179313,0.35481994082730345,0.30870863934719495,0.34011688838980003,0.2055611646840151,0.3145988463405571,0.315599356315423,0.29244417754667695,0.34927729075493075,0.44563440200492677,0.32252644929413127,0.30485090065502946,0.4325364961957937,0.37351966443665213,0.39607478449891753,0.41270302186630253,0.4264140962696745,0.41785626647595514,0.4671429846972715,0.5081959630825648,0.5757447850623022,0.7944569566119069,0.6547577532932556,0.562688702876379,0.39014007776241133,0.36060477098357174,0.3551382644552797,0.36173308415018374,0.4163387262270565,0.43246548422332987,0.46545383441320054,0.4645086845452114,0.40912178910857694,0.3879874808868375,0.3893667305774231,0.35595239292821546,0.33650635841052945,0.35019971461768634,0.562173101697671,0.43299154420679786,0.42825392763150383,0.478731905876629,0.7399834837470882,1.5015955833188812,1.5190142981582813,0.6978969165528448,1.637066161417216,2.234823898292675,1.1017392462581646,1.2022464024650763,0.768082700856573,0.5187328370839561,0.9540427095615508,0.5202261334623494,0.5252154550168725,0.5382890290151856,0.6534293110657313,0.9711745963871466,0.5846663195697454,0.5800515249354143,0.4361243795798337,0.569110301781331,0.472398426011304,0.5188459399331944,0.6096389764125865,0.4625263001098562,0.5780973169385125,0.5732478678474779,0.7674200696287246,1.1193422875076344,0.7630019146492218,0.7056555636787285,0.5131015723090075,1.0465944219155903,0.45897340470273784,0.49992316079615884,0.4332181652756968,0.4631775013674241,0.4194859485386155,0.4879254343612303,1.132676167965747,0.48903680917669257,0.4756750225575348,0.3716415397419496,0.3709684038164149,0.49950963420589417,0.39303696007695244,0.587370393398276,0.46275480518447965,0.6354290054804549,0.5241064430901399,0.4625865469001404,0.43936652540134563,0.5152323895180088,0.5421971046447065,0.4754927951550231,0.4725210943432426,0.7021314901970952,0.4777956143590845,0.5528166211931336,0.38807964157723107,0.48674717292189434,0.4727127768770544,0.4587894835975946,0.5137017243233488,0.367022753973226,0.3890450857594435,0.4653078671989301,0.3154555797907025,0.26068874260790403,0.24427368689630882,0.3045139669347125,0.28506827797754614,0.29857973251159653,0.3895082627469958,0.2952465529970928,0.4177780323935928,0.4631031937395406,0.3670617882181438,0.32334429212359234,0.30134065749304617,0.25561756742723046,0.2722736698513383,0.2915168582566779,0.37580939492813586,0.3202058875020331,0.26700379578646294,0.32905245997491644,0.33733572100539316,0.35245529058302144,0.35785712846516776,0.46976309713237097,0.44364701935008655,0.4906924507827839,0.6178288985394388,0.3827513616017925,0.40689807774187386,0.36153712364264273,0.5925223484184702,0.5202486813714792,0.3974763489219853,0.33264399161503594,0.2996396568555123,0.3155076669138902,0.28116187083993666,0.293505356787214,0.2871398112839907,0.32316651149394743,0.4270138850635285,0.5882539508355925,1.0034756804089249,1.5734807091183833,1.1599752543653448,0.6344842814789935,0.42340843171284953,0.4414308578644182,0.34594459512500714,0.4301774136829529,0.302787125016867,0.3094579982232045,0.28746066150794564,0.3138229612981667,0.433984149138928,0.5262110100855812,0.4530243867744138,0.6566840822377203,0.6827284876823814,0.6639199824863808,0.4422948092941524,0.37484130530954474,0.3665625035349649,0.32447142345253793,0.30831936323234826,0.3947814851881028,0.4301315720173375,0.6460179225477652,0.3658439003975938,0.4851788227950687,0.4531152321425282,0.3333597559544758,0.33101849484703866,0.35461365703215386,0.40044637953101875,0.41965206026891266,0.4222078519205539,0.7382087865155571,1.9115715955579797,0.7650099985632377,0.7696241291806011,0.6340613906385315,0.778323418974142,0.8233950944702173,0.5264072378416322,0.4243440643599163,0.4328683887715548,0.3712247330116091,0.37794593006424326,0.4491074739418816,0.3415502646367557,0.37592125582022295,0.33251517612434306,0.39609475014782775,0.39134963905951764,0.4153771633373808,0.5166587876893677,0.47051301603464873,0.5137789718072154,0.5227307722021279,0.5807396374800758,0.6094775831998531,0.6521398556273048,0.7840811674908025,0.7454004637902423,0.7318706032649136,0.9882809183435316,0.7158345089340851,0.6054417110327446,0.6188920123611764,0.5563781600618696,1.5861367570649598,0.721768070633779,1.5657082877823594,0.6928870359894397,0.6029825085843677,0.7475066048080431,0.758127073278012,0.6188611751478386,0.4328768034959178,0.8184808198514333,0.579605360068378,0.8996431955259683,0.4507969540556073,0.8926962616962157,0.7620076104618472,0.7038565506740924,1.1655739197235924,0.476885219553382,0.4784308969505334,0.5314546580090943,0.6644381617096088,0.7623011070087761,0.9058320383856657,0.7571068035611865,0.6331770995364613,0.6786902704679373,0.8631768657574393,0.7252415087853492,0.5927034660014328,0.7899606495468205,0.8899633430149362,0.646747241081644,0.6953499243329911,0.8558065173711342,1.0366549918767887,0.7255593316857952,0.7271801757687627,0.620667027005457,0.6031123163626362,0.5444447845957437,0.511331596245746,0.5921307302811278,0.5008347314099016,0.48398907857944434,0.4809488836410492,0.5128574460859231,0.4510960117204075,0.4989489133686739,0.6466277698598762,0.573974127924708,0.5904214525919134,0.6414598372340515,1.129219686971219,0.8328740082996827,0.7765342462433398,0.9715409538580475,0.99611083630694,1.0984886617571736,0.8330330292019278,0.6865112738458548,0.631231228622078,0.8904374168063379,0.7823152467816917,0.7955386953346006,0.7651066736506064,0.5770610720896585,0.45106666129945083,0.36170345544781035,0.3413386002533926,0.3672004360902221,0.38503260889080604,0.7016233883395853,1.1607094963298235,0.46753549449452714,0.6594968783011541,1.0173034050994876,0.6845613223239876,0.7149780983859504,0.9821140438537658,2.0063873216727144,3.407287137599155,3.477638695460269,3.6427030091679344],[0.5823580657425552,0.33059898037501706,0.42057808295777516,0.3391703551729223,0.33886869481468235,0.37120443597683,0.2502250071626339,0.3608491697320296,0.31295299930425435,0.3054854193508533,0.3659991170706046,0.4669662977841375,0.3752510686369693,0.3145660639025962,0.47021743790270043,0.4247289844196469,0.40003856694964957,0.40746334299968884,0.404662268827367,0.38613425529389583,0.44814568722892323,0.5064799398217297,0.5157178187133421,0.7461748433283667,0.5774923381029822,0.5106032868273293,0.3512507691314135,0.35012513101972004,0.35226239508858553,0.3691199982339035,0.4233067911402062,0.4614383892776013,0.5053924928569984,0.4717214715671665,0.43610798391355765,0.37905683498212456,0.39783964420030876,0.3576884074519751,0.33106247195985405,0.34725187479416647,0.5006372775341617,0.41245653822564754,0.4053909114631006,0.465509191751795,0.7031156774974165,1.4249975870771632,1.4332961831713897,0.6660343546568729,1.5234643618320118,2.1924358596394344,1.0313255405858013,1.175990323582227,0.791518139473207,0.509827456538401,0.9547062655937522,0.5159421295968822,0.547386135724451,0.5473651015124384,0.6917782051730145,0.9501048151445047,0.5739777146108709,0.5790253634400974,0.4370170831212252,0.5349655176804327,0.4441461960907081,0.49863490252358,0.5816509482380962,0.4331617169752694,0.5426461164250033,0.5643882914023425,0.7678047398863056,1.1403874672003114,0.7906248985668332,0.6862033112090353,0.4722817150762394,1.0108591599850212,0.3976814108256994,0.4612796500073876,0.40067461513454744,0.4577477236996598,0.4484466645363005,0.4951867652741529,1.1212741477905181,0.548172454833627,0.4556766573468708,0.4139347062848148,0.3670922659369494,0.5027709327078349,0.3852055333812867,0.5381767745543954,0.4403756864279377,0.6530072691030974,0.5081585520378511,0.46847610713669846,0.4525515080813005,0.4969897417342221,0.5657910471322046,0.4879986276796627,0.5010642521900607,0.7514368846938302,0.5478666220825474,0.6281516273333096,0.43544868129977876,0.5416491683617582,0.5353921420892427,0.5198455726073492,0.6165213878981376,0.4139856671200974,0.42358746944958003,0.5292047578647403,0.3929861378033906,0.3253335238960966,0.28605864828847677,0.3219123402990171,0.2957703104970793,0.3140514836138383,0.4161623923814616,0.3290456077994487,0.41189921878508384,0.4673738712086578,0.38528489941533106,0.3438429105675281,0.3265804357626773,0.27631920675147553,0.2820437441271489,0.3081592110539783,0.3596242067668418,0.3295181401360709,0.292708016266114,0.3678757567799377,0.3698253969874226,0.3821439005660101,0.3961036076311423,0.4998913988278189,0.47122816705172893,0.5131900386568586,0.6246942838066503,0.4079901990745896,0.44807337202910597,0.39970930956785095,0.5985830806176592,0.5400661678690009,0.40959517120009764,0.3371101775295836,0.3080824338116024,0.3012404953110233,0.2831052011699632,0.3188561789929773,0.3361959655715125,0.38892139876167897,0.4752356851169549,0.5953673356810651,1.1052225484707505,1.564700700186816,1.1146099569190917,0.6776926354470357,0.48113152316535496,0.5035028458643094,0.40407910279748993,0.5002550066813631,0.34371530707204867,0.3356445589586099,0.318369019820802,0.32377799294254406,0.44493557497517594,0.5515443542033789,0.464537142720409,0.6516316650778652,0.6883285888218206,0.6871867985155211,0.45713938411078026,0.41164923130426173,0.41351407815573565,0.3756209667599606,0.3699356783423687,0.45888239846700246,0.4699100715676513,0.702209525811055,0.43545741844672764,0.5348659637572801,0.4946374205826069,0.3884006140629975,0.372716394166445,0.413552206139652,0.43579583957911644,0.43228790905434034,0.38554985938170205,0.7088873307647506,1.981918630545386,0.7219659810598805,0.7155999189209182,0.6104563498830012,0.7548195308376634,0.8015229306023421,0.5435979105671358,0.45428766928431974,0.434700299454702,0.38888617279929766,0.4036176000939978,0.46741677235658907,0.3815652115809893,0.43477710818893,0.3819463239576443,0.4128685643826469,0.4203308861991519,0.43708716881161536,0.5311003594204622,0.486771725856926,0.5349414388947321,0.5345062656919554,0.599803334716244,0.6224071164394918,0.6630181961734422,0.8138524213948372,0.7689704246825114,0.757908609073403,0.9926814601101082,0.7474428529770972,0.6289477625695838,0.6409061071806368,0.5787382844500124,1.6723385670428024,0.7758479857073057,1.5994347552018597,0.7062016543492368,0.6254845937169691,0.7744039573640115,0.7876307010609944,0.6308226665641041,0.4628260555821452,0.8990854640735813,0.6087990661814662,0.9496350970813265,0.5271396070340306,0.8947462080553062,0.7787747934116472,0.7038791259969339,1.087972814148744,0.49742118693952425,0.5485112500634471,0.5801259306070154,0.7002414817496498,0.7785370780944209,0.954996151731173,0.7934614224157527,0.6667814275083145,0.7191369054264155,0.9027801324279189,0.7678537455388534,0.6288666506119022,0.8232150871457715,0.9163087783333,0.6733522699212798,0.7231534190591498,0.8644489264297023,1.0173965541906487,0.7493016480178271,0.7549542411881309,0.6532029803171102,0.6449992622804556,0.5869154959578641,0.5615711536195168,0.631212745494566,0.5242822850395763,0.5211493634456051,0.5092450043313694,0.5428318178573153,0.47625525734613433,0.5178997293484207,0.6670976106846034,0.5938028077983352,0.587232764941687,0.6435225122857469,1.0965344339706016,0.8133519730676159,0.7890096336998156,0.9367648048877293,0.9798714686281509,1.1344932738304514,0.8679838400069845,0.7261263374911656,0.6816889659529582,0.9246679446262601,0.8294862181983375,0.8220470593684316,0.7781875023326573,0.5947352877430444,0.45788718840407683,0.38398112253071864,0.35820670286451567,0.3996836038603914,0.4189619881963117,0.7240341909772359,1.1536917437058005,0.45418852436860196,0.6651289262888374,0.95893439937971,0.6256754647141427,0.7014523857720202,0.9517831534005562,1.9517775873694878,3.3356778684643875,3.3687619026468667,3.489817579136226],[0.5719628942386911,0.3323821573822277,0.47662037302688054,0.43588145265100564,0.45209662658776517,0.39935695558130985,0.31986131691027125,0.43297707067830504,0.3279880998769957,0.34432241012771825,0.3908018250029442,0.5266092633043278,0.40908058688660043,0.35898949793468654,0.5670728750491598,0.4866691393319176,0.46324815318562834,0.4773710304494081,0.47924837674741433,0.4686406535843755,0.5001306051572862,0.5513068012963859,0.6001521620461738,0.8225378019761967,0.6584486198236139,0.5846790943670147,0.45206623762892556,0.4294901319864636,0.43471778761718816,0.46203215933550795,0.49342684457139474,0.5593711268581519,0.6126881040807902,0.5890582804202544,0.5475944581735918,0.48105623008266385,0.5211163960887065,0.4581551225952687,0.4503749114615163,0.4534555670449547,0.5467003602642327,0.5202099606151758,0.4867317758267066,0.5430574355216893,0.7091743647428749,1.449655976790875,1.4253795990716844,0.6977638558632644,1.60691556640387,2.228690045171102,1.0742948298230337,1.2716445325571277,0.8348796029615281,0.5773900969164729,1.0704327136796044,0.6463775141007888,0.6071590001496366,0.6099729632076418,0.7326355018647533,0.9355278086101195,0.6068343474258101,0.6775063130792409,0.5395791155898861,0.6845287758896343,0.5400405021706765,0.587124032256715,0.6758746288212591,0.5331884513673942,0.6027642312260956,0.6208047559173984,0.8238625047357412,1.200508945356325,0.8664539774769001,0.7495999888117024,0.5406185442638574,1.0717940565472501,0.5205032183390346,0.5945370000755362,0.5116255110552912,0.5259423684831226,0.554573352244067,0.6162025863038353,1.229205468929362,0.6650740717208958,0.517817559633624,0.4914657206662385,0.46293062911452065,0.6188276088651418,0.4896309903560333,0.6560599339256222,0.5461474028255332,0.7227614683907361,0.5845814270398605,0.5758803136914946,0.5379195518761211,0.5921131879999186,0.6276505342347258,0.606693525860123,0.6298703624315753,0.9184177816091883,0.6928076229408464,0.8007264825003858,0.6139585268799961,0.6889312230279249,0.6223165378839108,0.6030465229592847,0.6854368785802243,0.5153710267789006,0.5234628761991199,0.5928724132543954,0.4730533494186132,0.4127964066199084,0.37515724792173044,0.39187791962966834,0.37229839198853254,0.38344027511879114,0.44900097334586425,0.4015447515162854,0.48246313611779373,0.5064410298018691,0.45006283433325567,0.40843700491140195,0.3974761426230537,0.34597614201725213,0.36607327327307526,0.3643362866481074,0.4794741074959676,0.40740111332715995,0.35721241118711167,0.4116718952645446,0.4025239031039594,0.4199535197860947,0.413143719638351,0.5644713214809799,0.46564360968703405,0.4769236025341325,0.6529343801330704,0.47104399822310894,0.5330605516246731,0.4729917669461584,0.6665895062853902,0.5761721757963933,0.4668507092515091,0.4031979695699226,0.38999653715762544,0.40795364051808075,0.3801827512963367,0.42669997880123867,0.4270098122968586,0.4533473328007562,0.6135808209811946,0.7383015654608988,1.3580446040872274,1.8896294086147727,1.2937797789930765,0.9065740218091249,0.6324634162464915,0.6696371788315891,0.5272118036115954,0.6174875637856502,0.4210444915471333,0.4305626898877778,0.3953750961383005,0.4097982907571466,0.49338507126330855,0.6219858711994904,0.47122893488447704,0.6686425536946432,0.6951105081712078,0.7017781337696135,0.4699467210539472,0.45269235731426477,0.43491548273494324,0.45180638959884184,0.4734906387059008,0.5634361676914328,0.5714167313284508,0.7777728520058038,0.5424156168408143,0.6440608829331701,0.5621925164513593,0.4888417619974351,0.4545629174164945,0.4489105918417707,0.46510085459098516,0.48417921588052815,0.46323069006050616,0.7113122862279535,1.9943353238269332,0.6643319099539324,0.6455851808959481,0.5494151899353826,0.6837838694642934,0.7373934510684793,0.5123546533285365,0.4740411095326327,0.46858081750603303,0.4162991320530762,0.447553962703478,0.5021187295962577,0.4398191393217544,0.5192473846734068,0.4504832681335035,0.44932680730731617,0.44719970337412507,0.44870627967603155,0.5744983364925607,0.5209474643474301,0.5547451110289989,0.5661283012409055,0.6731807271271832,0.6864210818978683,0.7140371606149486,0.9385328262316992,0.9227028709801937,0.8938502054301928,1.0861115587893864,0.8706135071799006,0.7163476229339389,0.7195643511521563,0.6521735082490419,1.7716019022748695,0.8368148527196888,1.6227346392947217,0.7363000029917808,0.6838239556461551,0.8283313919400908,0.8246720447869863,0.6622586795836968,0.5169813545419696,0.9688299443001853,0.6471631380386919,0.9891668624764679,0.5827979547607596,0.9242349983308094,0.7737463156786923,0.6844921835614336,1.0966816193274949,0.5363661790424115,0.5850807725771432,0.6483301328119284,0.7683192346574775,0.8716340437938129,1.0919192584403428,0.9607999155079603,0.782324440930999,0.8100068769545297,1.0407746160366769,0.8888488255895863,0.6870065200366912,0.9129613859018504,0.9927093352232195,0.7006652046943113,0.7676548187085149,0.9402162165058696,0.993509887731804,0.7837637778507135,0.8134015417921269,0.7023065255844786,0.6889987138367782,0.625940324894597,0.6091084691050257,0.6783419812456117,0.5567822324777151,0.5503930430301858,0.5534010784342211,0.5971477313007599,0.5021924853584206,0.5424131236917716,0.7100471869944256,0.6367408253964302,0.5971900595293834,0.6776233268405685,1.109406198800339,0.8466316102965437,0.8503431108982793,0.9927400517740192,1.0799028413286258,1.325281993855045,0.9962815481661736,0.8104222455872435,0.7692234571243984,1.0261295852489931,0.9107463275789797,0.8982343346672675,0.8098904881405448,0.6302908430439852,0.5183154560906793,0.4420681787630644,0.4102588805179848,0.48316714571312563,0.4043990503278571,0.6717638448857668,1.1955837868900776,0.3822997971516619,0.6185587652497573,0.8829378592070903,0.6178456148271849,0.6322642795058898,0.9009322944966588,1.9689775633600042,3.7566235368112695,4.20217127661023,4.152677406076504],[0.6244957123720004,0.3184270333975213,0.46091046319312995,0.3994649590506539,0.4768411496021441,0.3757379281934023,0.3702449622208473,0.5789190260922027,0.3965127905780829,0.3786321365352671,0.43742701052281274,0.6092502727665504,0.506544840783112,0.4038686704325025,0.6323454128999945,0.5793908835735188,0.5432531713640703,0.5404680634647449,0.49936411032855954,0.5505607302478392,0.5539074386637965,0.6069993972613681,0.6441680727088215,0.8223540755616253,0.7102744353834158,0.5940113625655091,0.5048390389573113,0.4941088104879406,0.5357196670130989,0.5885164395227803,0.5873725778530602,0.6892786877613696,0.7234997131736098,0.7108809252963275,0.6880262163203258,0.6014599722999957,0.6780693837876132,0.587478843402647,0.5817213884829171,0.6119256899425393,0.6511926315160765,0.6110429750167743,0.5962303196432152,0.6183556935564501,0.792876751208561,1.5256373066722968,1.486800926716778,0.8083686645807217,1.6956994964121566,2.3188312292583078,1.1167372633082706,1.436026744846032,0.9311903342036527,0.6909959152307537,1.1517567822437187,0.7913654554927583,0.687347616938993,0.7180816372847857,0.8434876557619587,0.9482929283322282,0.7014998966830299,0.7913959641461377,0.6604266300039888,0.7272468284230433,0.6265739495427912,0.6868335361039448,0.6939008082788788,0.5985246103512875,0.6314694611553018,0.6760111171927454,0.8655922491438239,1.2354445295429233,0.9189957929659538,0.780340419947626,0.6340663342836824,1.123334964798712,0.6359338450490143,0.694057474374345,0.636999290968968,0.6485083570525189,0.7225010040189407,0.7725903241945024,1.3051916243256174,0.862365926548571,0.6461767000120773,0.6442533962739369,0.6230755610474755,0.7822252256459861,0.6141580841985115,0.75766423209487,0.6515965174080045,0.7832515586495155,0.6584723259357248,0.665351597977139,0.6224533713118375,0.6536546746949174,0.6753382783929326,0.7055321371345351,0.738566275183711,1.0311396495054772,0.8482933662807032,0.96337905399463,0.8263358135407233,0.8936185130666133,0.8096077666081636,0.7874968917280307,0.8757024256044558,0.7108523039451594,0.6954484840495925,0.7636691343564858,0.6535518588469725,0.5925445962679826,0.5109926959884465,0.4554087944182633,0.43452690189741844,0.38550709572745195,0.5094791404898392,0.37286836700705406,0.4429464328933461,0.5146454379361718,0.4422292547512936,0.3918704349157519,0.3447502000652038,0.31954392152728206,0.34663536032838493,0.3776715979716706,0.6064679243952265,0.5095028700730447,0.5032998451560098,0.5793399781981542,0.5116693024190048,0.5980358899379679,0.5352668135298745,0.7151259331893379,0.5198493598814846,0.5149161872309408,0.641991182276746,0.4642348859055502,0.5294273021098453,0.4528933983227936,0.577451697659176,0.5146946163974785,0.46051071943741295,0.43623965228684597,0.4693875315318379,0.5248123807545175,0.4817723418677834,0.5554684567574877,0.5772222587292856,0.585560159320213,0.7759868667493267,0.8418594878385866,1.5087652035207035,1.8002094463250495,1.2423641284364086,1.0311645158136762,0.7750871783544302,0.8614666398315902,0.6950647620593396,0.8096524257860748,0.5620223303062875,0.5843475640170173,0.46592014691557776,0.5355662446811154,0.6145364705129874,0.5985443860502816,0.4780609124033451,0.6207964260394004,0.6625998838778359,0.6793095421769276,0.47737879464286154,0.48743977121306303,0.53772955661672,0.5689547531300426,0.6307643251623894,0.757037164044787,0.7549978932663247,0.9585586384817549,0.7371208260766818,0.8590037370548023,0.6954551589660295,0.667317506429577,0.6257418031091427,0.6029862064723058,0.5600311850117135,0.6169966555081479,0.5996972640998787,0.737719198737404,2.084071116705901,0.6931920116672188,0.6399095419915535,0.5845649810430131,0.6775974904834129,0.7564661527759586,0.569182291947184,0.5643488894451385,0.5297404647554649,0.5418945609255899,0.5267489373456021,0.6319627655581307,0.5926423280763284,0.7413811646396716,0.624370489802263,0.5140227036895636,0.5592565681352857,0.5419060761477017,0.5790214175296232,0.5357458385019452,0.6028068395021049,0.5675659069595528,0.6884341009221502,0.7053745110700457,0.721666937506915,1.0181213357673182,0.9981919650465529,0.935216793653832,1.1195255382587,0.9013587831373155,0.7246605975156689,0.7492566937328615,0.6939890462907294,1.8649967790979949,0.8792740803053627,1.6477789831691665,0.7849432346444609,0.8038335613923399,0.9775595945475671,0.9594006522338566,0.7720716527209351,0.6646117285089457,1.1154892845709734,0.7524145612133007,1.048253306126015,0.7180197670077575,1.0344221263578255,0.7828692707079435,0.6938370528239629,1.0904630958474888,0.6117120053548667,0.7498779867610825,0.8417310061728477,0.9577632091689521,1.0875127116266956,1.3353315273256416,1.2203063143011954,1.0127297527821437,1.0109125303490423,1.273701449179924,1.1550586912123861,0.8647708067231578,1.0884230622590485,1.1701954126414382,0.8031009140350521,0.8477273630872328,1.0023999096631007,0.9737850863745167,0.7911445624962037,0.8416185732814098,0.7425180161472272,0.7573134997954333,0.7486030139220481,0.7177781061220362,0.7310617108025511,0.6001332117622895,0.6449171131179043,0.5983484221034617,0.6191299234665772,0.5235646854712677,0.5608619446272468,0.7139708300902493,0.6326917376512278,0.5981126339210366,0.6524399480701045,1.05638903991233,0.8183628613130189,0.8347074320134117,0.9700641793811784,1.0639172163486252,1.3424696750752076,1.0117754877597616,0.8155311402825058,0.8052849086011453,1.0454618738688117,0.9057859927031875,0.8735988834639611,0.7863876007136951,0.617653475445703,0.5325061897269987,0.5213065377419217,0.490273686204151,0.5867074998288723,0.5411442439552308,0.6599097553949567,1.2878516102988093,0.5328622802115934,0.5640017542397394,0.7150410178776372,0.9195091800863856,0.508099621971404,0.8260807870243418,1.8197666911690418,3.74873762221179,4.192635985110144,4.023983517285925],[0.8422554748113584,0.5205617893408425,0.5706705680382078,0.49997354404309485,0.5249403104084861,0.4451086373824511,0.35600533532773293,0.5376206003570166,0.3570309582000399,0.37319513659657333,0.4561934729118682,0.6395142699925249,0.5065306467673835,0.42742567808228427,0.6943348261731686,0.6124017476570639,0.5534242464010161,0.5889466645810897,0.5510446373469821,0.5928836770902387,0.6158614363352855,0.647440254449723,0.6540973211296974,0.8271009168733223,0.6784033252282065,0.6050625897890962,0.528352465826521,0.5170830585658825,0.5776928817697878,0.6408119929360668,0.6704089600081039,0.7459257119557721,0.8461752966471584,0.8256822817434146,0.7757764388224007,0.6734972743089032,0.7369162309733989,0.6200425689727026,0.6165671005558199,0.6698214204724825,0.6470335716956778,0.6502156051071839,0.6434225342597679,0.6554897075409951,0.7782369395077074,1.5038339909252525,1.3997922357260275,0.786178218459939,1.723076233908129,2.24534144032039,1.105910924223104,1.4519431295078296,0.9909750063315029,0.7552708870564111,1.248901532340362,0.8927595448993341,0.7498041638508758,0.8140396324435328,0.9448730516725931,0.9277735803721873,0.7557764600403254,0.8939111185242449,0.7692819705868926,0.8455351259271368,0.6955884768010148,0.7527306844032916,0.7573486744121369,0.6687483216082984,0.6876558675379901,0.7333468284402831,0.930116818532713,1.35466333779866,1.0064564906194031,0.8655946137934517,0.6938828557383954,1.2228283206244217,0.7064920249726364,0.7959681142370981,0.7425879211260558,0.721029476043535,0.8231582976344328,0.8738808877991222,1.4509733102775253,1.0030813522623274,0.7189402829220221,0.7295244254900938,0.6844033785181132,0.8686056512891971,0.6884553939387613,0.8358829516070391,0.74854549504607,0.8393162988160026,0.7528285704148283,0.755638605395498,0.7053465392604833,0.761418027742154,0.7854124187497307,0.7999980674031447,0.8208543448448422,1.1847476545681799,0.9446022011303474,1.0915574544089648,0.9268278990330419,0.9854758408008204,0.9213577241743478,0.8525446148278871,0.9757127034564735,0.8042752663129974,0.7660021783871785,0.8496043121201872,0.7049372540958126,0.6051990506061298,0.49289474895031976,0.4521741128010429,0.43729956061590136,0.40305954427415835,0.4902707661330342,0.40511101742234723,0.5274691708730112,0.5816098570103365,0.503729112798631,0.42313133694796307,0.37966360952735145,0.3281345556706198,0.35118484335938255,0.37744989064129614,0.6284768189300666,0.5420189241566172,0.5624136753135677,0.622148058674736,0.5690843674929106,0.6822667680182005,0.5971996595114037,0.7820278686412112,0.5466028214825766,0.5194412917422153,0.6532576454006666,0.4673537091615066,0.5438276677654301,0.4801583649598371,0.6285284818478778,0.5363230379271756,0.4902092777618536,0.45078981636192306,0.49463054302358533,0.5504452573624836,0.49632192825504834,0.5676191975291915,0.5921821212064462,0.5879999874799464,0.7937566845404732,0.8334135186219361,1.5957670975824598,2.0174498295628345,1.3128812673565715,1.1345272054733104,0.8334826093256954,0.9186913792618808,0.7424076051372706,0.8659939938046206,0.5750433598092562,0.6150651697283005,0.4814620212152073,0.5727102485003713,0.650996957608773,0.6072754182863636,0.49594689281623044,0.616053831680046,0.6512651425128203,0.6745101899843757,0.49598637066188683,0.49761875820214196,0.5529680974874207,0.6089446999669149,0.6901172728490832,0.849301883060431,0.8094841399235682,1.068582136527629,0.8232072608304709,0.9781751072981728,0.7311489749619097,0.7391668225307123,0.7057766031290158,0.6766506913593419,0.609006754593877,0.6814633671434862,0.6471722027303817,0.7945053516909462,2.004573684257572,0.670081989375464,0.6232247485123823,0.601970930154327,0.686892590824745,0.7695222466813054,0.6356618583768865,0.65137444809844,0.6046081146694904,0.6428314945759762,0.6512907732635418,0.7386560863229114,0.7291463817423861,0.8574862069214807,0.725031172686726,0.6353804302441748,0.6843273509377065,0.6479173679191862,0.6729774551553106,0.6636723447935714,0.7194594700498504,0.687824886010123,0.7933185228527778,0.8242458889147147,0.8363665745384032,1.1074865257452664,1.098934105101107,1.0309003409585296,1.2140576250521158,0.9989188898977921,0.8356250249499853,0.8837894129707787,0.8506576826977318,2.083751525374561,1.006203316089613,1.6870333948185579,0.9389010142969446,0.9691036937192243,1.1082353046903783,1.1163426769740066,0.9093129349691135,0.8344669978330714,1.2249753896952509,0.9038001998672027,1.1680621577768695,0.8501502351232427,1.112939615941886,0.8417401541917193,0.7854178777891538,1.1329094522283503,0.7248466791483297,0.9024202429220569,0.9965556685910029,1.0877395193766148,1.2402105453566667,1.5203976512849486,1.406068331250576,1.1555868379823053,1.165022218088447,1.4279270451907795,1.2858783720258797,0.9747999147583287,1.210926609259869,1.2463761698114397,0.8887768624042963,0.978659263121867,1.1296461993981548,0.9968697075414341,0.9033447653176225,0.9784118472551325,0.877370390122193,0.8940955858737478,0.8863157089848124,0.8682434867388682,0.8739057523125392,0.744427036812784,0.7996237679002367,0.7534329258400788,0.7756203712378194,0.6701013161511472,0.7010288923665761,0.8313183633366042,0.7408908893762379,0.7183941239819857,0.7629161103129745,1.0841293414104118,0.8935244383743831,0.9174416507506704,1.0202058383969388,1.140839095020842,1.3807734623433798,1.0953437738040404,0.9163854294301859,0.9054151022009153,1.1248609982084097,0.9808185040077635,0.9463274121095409,0.8460276610728971,0.6830160358618759,0.611159273701123,0.6196117636453407,0.5670444344714383,0.6750301689275915,0.6394313586019487,0.7372248790734295,1.3339173713008545,0.6260070819875193,0.6505062187616254,0.7915004634648991,0.9465305722922761,0.567150440977671,0.9594520993288763,1.8852937341024105,3.8052990013873687,5.1958769351223735,5.362490982521807],[0.6666593650498003,0.3554063005116594,0.48806144195931866,0.42170147551903814,0.42222891833259646,0.3956063732567491,0.31364842633034296,0.4378893582862534,0.35432828306836295,0.42807245878420236,0.5040770739573004,0.6309563485229839,0.5046961533048715,0.47338848395491295,0.700537541078984,0.611017126833807,0.5574893864680746,0.6199271044500069,0.6058358400332478,0.6131271650611742,0.6665847344878046,0.6800461101862213,0.6987086030790208,0.8829167959052929,0.6751513777334036,0.652947911219662,0.5580518089590258,0.5504499949747941,0.5706691772452132,0.6091302730771894,0.6515897233327117,0.6922347249996315,0.7734250128604275,0.7522020919045284,0.7124974200213959,0.6314543903884668,0.6664213688192819,0.5805678218980258,0.5725530792363773,0.5854219500393547,0.6343033102022935,0.623514096695511,0.6067845560512591,0.6213195651247511,0.7643600214834573,1.5070661654014892,1.3934480991674156,0.7421376555444806,1.6897776344112292,2.1894138435990738,1.1005760898231227,1.3625972119589578,0.9115011076849641,0.6851797795397288,1.194874907210156,0.7870976157561754,0.7021477002222967,0.7599676954852377,0.8798159326935276,0.9679043947031685,0.7251329242898682,0.8202297765393831,0.6991453160394574,0.8170320292841282,0.682950620004497,0.7266455231911435,0.8105272758249191,0.6719045923325556,0.7372248783648878,0.735957082082146,0.9487396118866092,1.3223742008014743,0.9823247776967214,0.867165779557255,0.6621348405376066,1.2296667890115764,0.6568101858998917,0.7363011055823901,0.6752671408014157,0.6905915178049509,0.7332407253885133,0.786924195245279,1.3967867886759606,0.8730505184550276,0.6339565201015059,0.6557626372110886,0.6227502993690518,0.7727107235515014,0.6498747520261478,0.7852474617240697,0.6945781715275109,0.8328198183627235,0.7220346935361366,0.7203887094364129,0.6837067017099778,0.7172268701466203,0.7728595802038709,0.7390524929847323,0.7511517716159527,1.1160573499416115,0.8339560700678242,0.9575220291669494,0.7717768329531144,0.8260732176753017,0.7563982779099097,0.6747232631371344,0.7736921115354407,0.5909046630035377,0.5808030101090164,0.6531104438184462,0.5176038631417004,0.4692972306328034,0.4061006378744489,0.4757571794886529,0.4747971178020006,0.4615125799696968,0.5280933330983127,0.4972455752600834,0.5905945247245752,0.6168550370857737,0.5619674424372662,0.48807727622935676,0.47266305187614793,0.41380698242559594,0.42496992162759784,0.39859515282213537,0.541118280981218,0.4625690767505787,0.41428389672068217,0.44411981847076926,0.39595239240961344,0.4649989514944767,0.4379225940282728,0.6281746465399572,0.4682579455019112,0.4742857312644063,0.6310123892508969,0.47337803372484577,0.5580959506319858,0.5241235365103217,0.7154627823602819,0.6155798275740214,0.5306863260399736,0.48133429080477225,0.4868487579503967,0.5240804162926078,0.47479504368041886,0.5141502984904989,0.5256290315907639,0.5230475506214172,0.6862530322163247,0.8007529980653163,1.5181979695025565,2.1783889235462794,1.4546940496894316,1.083643667327448,0.7481940366459147,0.7939135705276565,0.6534186107094956,0.7524301453896297,0.506179861777391,0.5418856050811282,0.4725889331194885,0.5105865305797587,0.610899800099799,0.6145979661117481,0.4943942634432657,0.6584630970022153,0.6750110916090578,0.6877990235117284,0.47499466927458417,0.4805788375447236,0.48496942117719494,0.5310483349065689,0.5956762697292711,0.7137827215311279,0.7111148066171313,0.929666968054817,0.7077093195204495,0.8067426553427833,0.6268648964000351,0.5882662331111566,0.5523979590188678,0.531347780400006,0.5166426938360832,0.5927109942438367,0.5649386738558738,0.7796457826337905,1.9369155831807081,0.6590035024001719,0.5999732814209162,0.561932131793084,0.6605784230443511,0.7250761091132045,0.5329234842801224,0.49206169775933856,0.4424004018866144,0.43226167745983535,0.45221383999574893,0.5129309185398474,0.48430779604345187,0.5869597175659833,0.47809828645663205,0.4454557728763661,0.464853994273884,0.45359480969533333,0.5535820906557478,0.5229625419319791,0.5757155056028002,0.5834450299756841,0.6936484589015187,0.7259800586644238,0.7552675101285419,0.9932382579720928,0.983275668073661,0.9204468874755909,1.1301041495705273,0.8752555750545638,0.7208839744876261,0.7492379376403907,0.6860560822802089,1.917477954711297,0.8467480213968758,1.6267552092741902,0.7835781009675498,0.7539431024632767,0.8802679602871964,0.901992876518146,0.6925572657673291,0.583734371728953,1.032847355035247,0.6903321961180471,0.9910522818861515,0.605821357464132,0.9940463061136723,0.6924604958961192,0.6693375208517672,1.0898272796098936,0.5415645230662391,0.6534929454886788,0.7424370346671723,0.868438836591417,0.9750363615753109,1.23780125042485,1.1009860629424177,0.8880624908653058,0.9033706306241205,1.1471295593843645,0.9802907732370847,0.7224954648841465,0.9703109378099617,1.0147438182827777,0.699774496223018,0.802045862475546,0.9877309209435219,0.96703379324238,0.8153244711940396,0.8647609355118966,0.746346938683803,0.7299187769913815,0.6731294464027174,0.662975543317228,0.7070555646508776,0.5752302034173283,0.5987616502807074,0.5705818166649674,0.6087373401358338,0.49419013450198734,0.5308941040274551,0.6781328986238163,0.6036691595120812,0.5704706518862159,0.6397374790342835,1.0523796481188854,0.8046982791595678,0.8168836226255762,0.9628209761685972,1.0680528202585151,1.3104554254830474,0.9833618080790928,0.7882717332542591,0.7721016675911214,1.0073596818293293,0.8793897745815732,0.8557722776731863,0.7820890557328295,0.5916921506553104,0.4973143919551726,0.4422311115872755,0.4097102704755542,0.49913450775806734,0.43229631148756203,0.6619276378971696,1.2380930335939666,0.40382257025786716,0.5987225481468643,0.8802219088032138,0.6555592875917096,0.5939472581232389,0.9306874917017826,2.1732878099024235,4.045748534358082,5.055833824239116,5.335295398089533],[0.677243154610313,0.3730781966269972,0.4777249977292463,0.4254639409288011,0.44324858657824007,0.38976905819720287,0.316822333731251,0.4800765815786623,0.33750040608023063,0.3518323417073001,0.42522332323878814,0.5925313748403273,0.47438986113831033,0.40373059730289895,0.6650720467318111,0.586611115595933,0.5265363260520877,0.5558527863893766,0.535267300205346,0.5610208330956614,0.5757822254376416,0.6136550528814008,0.656692213426896,0.8169513726669216,0.6828846342056549,0.599848253412144,0.5249385027258909,0.5149883246356609,0.5479050571584544,0.5900344893628592,0.5949601927976994,0.6715512553635445,0.7270160063278118,0.715103649041529,0.6805425766380242,0.6076679499234959,0.6611560933818478,0.5878643793366484,0.5799057526015572,0.6101925965091676,0.631291769110436,0.6406753831055898,0.6090909134173327,0.6289484995143927,0.7476796172831149,1.485934606916106,1.3696816787979218,0.7822252515652914,1.7435723327487676,2.246121596256975,1.1113249568267596,1.4222065023909236,0.9232974692764717,0.7003019685285082,1.203733139800333,0.8271694826693581,0.728123440059561,0.7638786668455364,0.8878882276603715,0.9137156034284574,0.6899773011652797,0.8159403131320282,0.6804267539393867,0.7949887059940711,0.6377209513777569,0.6997977827990706,0.7412527189631217,0.6241515353601801,0.6611738494166635,0.6894753611277395,0.9035255710603655,1.3141133614685716,0.9491749002108053,0.8132066353084975,0.6326468578120631,1.1460153016872998,0.6445407696118004,0.7065901010446913,0.6529960495685458,0.6492797127676085,0.729307036480213,0.795964943437466,1.3841626910084632,0.8902965960367143,0.6465715446977198,0.6545917820198169,0.6172509764439756,0.7734818838007301,0.6175271543590776,0.7475196917757982,0.6644832420420295,0.7582077382913927,0.6633501450554279,0.6608448947566536,0.6223586506556797,0.6595040922081763,0.7045538679120559,0.6998989023704063,0.7249991126276816,1.044699715488851,0.8189563541246077,0.9445253434740517,0.7770569066435001,0.8431176217379743,0.7903326201177321,0.7215025618088075,0.8271045107125037,0.6624547105552073,0.6482667291507375,0.7136149435475496,0.5870731793672671,0.5412911536708471,0.4364863829426729,0.4554693742510564,0.4253347728406127,0.40484546086872797,0.4972485446073996,0.4166458726735899,0.5097981838168205,0.5588264833553799,0.5051047172477098,0.4380963601346477,0.40008651981226606,0.3509657458024246,0.37135895724779133,0.3770490901294157,0.6345245580919531,0.5126710974781676,0.49515958590910847,0.5154574754056352,0.4717086747627483,0.5606741223722179,0.50786012197272,0.695918145954247,0.5060350377549365,0.49419544196252135,0.6468372466391786,0.46854361038869835,0.5555418094223641,0.4723286814136144,0.6055332219090022,0.5148479457540764,0.4806137442957688,0.4383383040387737,0.48159586014535777,0.5267789059034516,0.4780493370188726,0.5355137520391481,0.5444193964222771,0.5359607796716886,0.7243122567425127,0.8095473837852751,1.5160173563322075,2.108500434144222,1.377517869988131,1.0471498033762847,0.745435235953672,0.8052667639798355,0.6613787145190874,0.7846009788456788,0.5357941743506082,0.5672775022798047,0.46842326874820217,0.5333961125212628,0.645542004189759,0.5723648879008104,0.4626003718444664,0.5745471669263953,0.6129916059067165,0.6209333833620544,0.46716939865116636,0.4807789209492262,0.5151313493636863,0.5576828384602694,0.6174841778372041,0.7384886652966367,0.7259675803552256,0.9411030827188032,0.7284878890670626,0.8497718903904562,0.6647721768369093,0.6442761039327531,0.6120565801243358,0.5816953875734615,0.5466389542088999,0.6094460769637581,0.5759965217266872,0.7378098938540854,1.9632158491573817,0.6014940934611086,0.5519578758443721,0.5598643016070897,0.658903324546863,0.7422062651182524,0.5675158875587699,0.5697186475021041,0.5074398282831171,0.5224471901858125,0.5224082729288512,0.577304280252643,0.5397978468558344,0.6185603184028176,0.533615276935946,0.4816496065611625,0.4808820371557529,0.4701215852208279,0.5760182920400692,0.5258825668893181,0.5887235514165605,0.6057035406981175,0.6901349023695198,0.7411364956626857,0.8035662238648579,1.0165740509595818,0.9741237723165646,0.8890994822567849,1.0977133039711493,0.8327798539986084,0.6900041957923054,0.7241409785804553,0.6724304691250874,1.9689574171039759,0.815866797099618,1.6164844771338585,0.8059235236357107,0.7613913280270764,0.8761048157955839,0.9237229081560008,0.7042088237688401,0.612383166983692,1.0354173045843122,0.7264754946299038,1.0003371202585518,0.6477809484543512,1.0333764838615143,0.7129605767314519,0.7078198609615761,1.1197846965458875,0.6066611222609923,0.7114403077045504,0.8000099192747463,0.8926014865066115,0.9784480161763548,1.1760025649704475,1.0731663779286973,0.8920184411333434,0.8677326147784463,1.0930798427129997,0.9463507963538659,0.6951202583186844,0.90337527091951,0.9378262951418135,0.6785260827480813,0.7782398323661321,0.9633452684525277,1.026959932364652,0.8372768993604095,0.862053494256645,0.7366140495177492,0.7181350102302506,0.6632897749750165,0.6596215361792069,0.6889199806366192,0.579637181405514,0.6099840209945978,0.5635856177406613,0.5943462592203547,0.49653932128463674,0.5204030564709857,0.6448085541303026,0.5749918363624993,0.5718077525105048,0.6379267911742872,0.9917518027493096,0.7690887266241048,0.7746625623947716,0.9205939480246043,0.979038393303377,1.1961267724305005,0.9015553499432021,0.7495809664619576,0.7587282733357004,0.9621964724985872,0.8299477691232111,0.7887958070426745,0.7740671246490246,0.5945669963187163,0.5343732238808615,0.5070073116490847,0.47560091346141975,0.5566008899474264,0.4683863991863078,0.6816782501440544,1.2450738840224125,0.45041953055014045,0.6235720037888969,0.9664492100469043,0.6554742739054077,0.5829125690247554,1.0008757246756852,2.472764210374133,4.08410639343501,4.917853701224094,5.582426867126351],[0.6375492476514517,0.37651015965004947,0.5054097809064659,0.4300202983439529,0.4091840031180235,0.43588951644344165,0.31568307485320735,0.4091048860399923,0.28566603199121127,0.30043039400166904,0.3701740616313179,0.5234798378273637,0.40199393842862374,0.3525389458448582,0.5997344175676994,0.5038682444814913,0.4565198139419642,0.4836132656576177,0.4636988345745381,0.4854422585002999,0.5149218725376867,0.5570798720817492,0.5788150804248108,0.7828484073001112,0.6281824293896467,0.5433514652254748,0.44269976187769366,0.43259034343902725,0.4543424508399814,0.4860053153101094,0.5228592070727766,0.5606742408267815,0.6139628640616384,0.6030019194498517,0.5693609733961563,0.5102116553538958,0.5318939038266511,0.47723151364018596,0.47009072906765703,0.4809246503447525,0.5557289632245278,0.53756919198507,0.5141106623759175,0.5429144449623651,0.6958467084508465,1.4483317427695366,1.347889927664188,0.6915545088171668,1.6659210269076103,2.196640783405777,1.0547127907927167,1.3131151098230325,0.8400348429591832,0.5989834632146396,1.0818553979348966,0.6667483945687179,0.6157978012952191,0.6329296947822413,0.7700599443298942,0.8988120165933968,0.6250751304117689,0.7044681478480775,0.5658454709243926,0.6814097621600426,0.5478879955729491,0.6054318026986234,0.657057037106453,0.5371605798839162,0.5955129249608749,0.6292020799932065,0.832195169234717,1.2306654386577274,0.8809571155923465,0.7357563092752074,0.571925045642297,1.114000123172101,0.5377499532663779,0.6040126229469213,0.5337137606515702,0.553803316413173,0.5842503235008677,0.6452276536053398,1.2695653332082908,0.7127360714807495,0.5239090418646879,0.5183390974831418,0.48795315452333704,0.6384648306561537,0.5145160031121683,0.6594689843250711,0.558056475931143,0.7274904051279305,0.598313121114737,0.5840168731098562,0.5573211704243736,0.6069904885202234,0.6469273168930033,0.6041782278102962,0.6075020200262427,0.8788764507473907,0.6679057930848661,0.7482330286484034,0.5985634126825128,0.6623950786293539,0.6122026434757479,0.5746396305228755,0.6650463300984459,0.5013297395714944,0.5027548014162196,0.5769973351267511,0.44745945653261715,0.40666991192516316,0.3537427930203178,0.38799441027841436,0.36435869438901497,0.36040695122112487,0.4357188221906185,0.36866959612695005,0.4478632017472014,0.4977737643752633,0.42998379976243023,0.3731868558411775,0.3484911500485834,0.31219090788676157,0.3355637106955421,0.3494306990224479,0.5778929148415985,0.44513931411924484,0.40713858026018945,0.3994153516128428,0.3969977065136003,0.446918074480304,0.4094313792585684,0.5710994395053297,0.4359658566636137,0.4264199224148561,0.625641168625995,0.42890142548657545,0.5320736676956275,0.44429309924298055,0.602494118950496,0.49670692818900386,0.43982677305726414,0.3856255277004593,0.3914793077312973,0.42130613329959965,0.3856792679515372,0.41897614283586215,0.43204385295343556,0.4458897846871118,0.585229975559908,0.7242841092131778,1.2556676786778942,1.8018498251350479,1.2836984864040988,0.8561044582267107,0.6167691273214886,0.6525386526412494,0.5282950076520397,0.6236315223288498,0.4244472513498384,0.43962861364041994,0.38632972193284904,0.4152147942797729,0.5410342608862605,0.5570460292805272,0.42742223675394925,0.553629857357583,0.5942361220684397,0.5949704736337069,0.42417321752270465,0.41735583335568754,0.4193861704543495,0.45590169846082296,0.48665177645125896,0.5680634148643674,0.5680844624847968,0.7825519743435438,0.5599512222504203,0.6618869533920985,0.5532641130350026,0.4981422487774004,0.47471248379605124,0.45366679113039493,0.4563783448477741,0.5029333885372737,0.4769991785080733,0.7119867280350395,1.929075893239177,0.5957221920610591,0.5666475107828767,0.530670704350908,0.6541654740824563,0.7169354327951217,0.503388953656172,0.4907547950808896,0.46694853819101273,0.445863902445669,0.47624960520342363,0.5086438271848819,0.45462182948491314,0.5024749460097395,0.44995996246941217,0.4705334070212005,0.45594957374333506,0.4742055293068781,0.6098113225461688,0.5535864642998118,0.6040413530267413,0.6397530269273685,0.700388709226091,0.7498570242074313,0.824235426815551,0.9654019394414379,0.9175390393595998,0.8691153328015419,1.0820233633621004,0.8215313797273307,0.6975325629808191,0.7374545575476854,0.6447689881162485,1.8601135479391657,0.7829890984338627,1.6191704034649654,0.7690318826753413,0.6620500052790879,0.7778393469269931,0.8386506619627806,0.6037563086832268,0.5310880597847988,0.9667162661032724,0.7041046010867912,0.9862702496204954,0.6019169041661243,1.0038233832734162,0.6893875138892667,0.6664654579994692,1.0720064377697496,0.5407228966422327,0.6171878222420653,0.687743958449768,0.8192640659976989,0.8665333730475238,1.0455347296317516,0.9177582456119365,0.7712614060092329,0.7800773710528216,0.9614099109521039,0.8086179571298399,0.6191422976410532,0.8362361236309132,0.8918794377712889,0.6829968331292547,0.7698875861806046,0.9384879475334612,1.1047627683495465,0.8591191389370183,0.8554895100708398,0.729399653139543,0.6959353228197053,0.6068031196221143,0.6068427814216204,0.6777128421538118,0.582874771101964,0.5747472988820427,0.5516051980644393,0.5935629590377763,0.521447276614948,0.5329601688509484,0.6577270221476706,0.6017981447937215,0.5940275308008415,0.6623336577586754,1.0483484917591022,0.8135641734415363,0.7976303494005464,0.9539871818552321,1.0031044081808345,1.1237047378607963,0.8938873305243932,0.7740676261033774,0.7681357293907308,0.9702574946926159,0.850605695332042,0.8142014659565218,0.7961162040489214,0.6073745179117334,0.5148548759550201,0.4626676192703206,0.444328328120506,0.5239075320412308,0.43127828022111087,0.7680356298744555,1.2343217651901721,0.4333901441302553,0.718794867952622,1.1595312982069934,0.5947018865677643,0.7112411537281838,1.0880103946078576,2.6326560722127454,4.001138422535568,4.5020413993631205,5.172998867172221],[0.6255226128753091,0.38897365117927885,0.508888186194693,0.42522581830357903,0.4337608757722829,0.3813300365004981,0.23183611977072088,0.4552354945887009,0.29288780785498364,0.289300383808542,0.38612465755155506,0.5198913868731139,0.426090943988116,0.3454512747201542,0.5584410548301674,0.4972533327261577,0.441319500194412,0.42940704577787936,0.39747927212870193,0.4397006723038266,0.44651880051144066,0.5246385547478858,0.5561065175290969,0.7374166792720431,0.6233186100141515,0.4736841131464397,0.40588889010042695,0.3951480520222725,0.4203149614091128,0.4687046425080892,0.4937457585323914,0.5612114233678418,0.6039676704280734,0.5843437393995863,0.5582944619677783,0.4787797381696052,0.5302481480996528,0.46903927005057133,0.458846345210455,0.47924620332730733,0.5139550371908983,0.5269010481759548,0.4995086329365222,0.5410007472342336,0.6778137980186651,1.3911705924989588,1.3355593209680612,0.7033310930797994,1.5870498053881958,2.240241469973598,1.045709461635616,1.3184575817939082,0.8697282622874501,0.5767463996232348,1.0905231370712858,0.6988765535740308,0.6508938377453424,0.6404219103268781,0.7876187084034066,0.9127021075187352,0.6007967600057463,0.6968289426785271,0.5469547900415487,0.600116703613347,0.5108809631591613,0.5783371646336863,0.598663276183758,0.490127162515649,0.5374361183963227,0.599873546810111,0.7880136549031277,1.1619251110230155,0.8400666597659328,0.6714515023158243,0.5572640241071989,1.0065465562602327,0.5105189878413243,0.5714524789913187,0.5205138423017376,0.5213999259118658,0.5650282189154985,0.6375442847473,1.2125746756842068,0.7206576571501593,0.5199789756228254,0.5277564155760742,0.5015789837559085,0.6314794006726767,0.48737555708203917,0.6321476466597439,0.5304357511750417,0.6724130765789448,0.5593585529334326,0.5495247972691456,0.5222992038897087,0.5745516401356957,0.5996863160815691,0.5798413180491175,0.5925984593876141,0.7978320556267078,0.6788445824189228,0.7726682795030511,0.6229955415041919,0.7038046361872258,0.6590264003512873,0.6379614272277462,0.7255740590160848,0.5457944006526507,0.5416834052209714,0.6127814694497968,0.4983779232357517,0.4701024866093245,0.3981562279856207,0.39905636644765385,0.32831061790778404,0.31008132453679316,0.4328828562784171,0.3265010704146692,0.37712345157150556,0.4639668896878299,0.37661393801056237,0.32605688252697873,0.29476705784566953,0.2564511893812203,0.2642692305283108,0.31861465764304553,0.5631627844217277,0.4429892825470453,0.41793429834318474,0.4393015913776675,0.41293536256005936,0.4690827896135385,0.42506064751898204,0.5940187686923157,0.44143889670994846,0.43587641578611447,0.6448527985275697,0.46191364511271177,0.5672628911297873,0.45837735801898144,0.581626232583681,0.4956345083007726,0.40478943766384523,0.3820248186514881,0.3855663917626839,0.40973056668620583,0.37035412776773396,0.4295020000485468,0.4637543272540588,0.49160886305000084,0.6271922612811143,0.7043313615409135,1.2141200659299392,1.4612779159763418,1.0528649479060797,0.774544468898605,0.6153785350542921,0.6742050035981018,0.5448785758050857,0.6439230916566264,0.43500161142543514,0.4491073926116649,0.3797127842633434,0.41418155095007997,0.5282785836251691,0.5519842953368358,0.42176529733364676,0.5216917537299206,0.6006484003737093,0.585612335046957,0.4379411265896491,0.43023644335203703,0.429397085193128,0.45962514350097394,0.5078969223467844,0.6195464891204004,0.6099563600111941,0.8344511342179411,0.5992029845566477,0.7064560179580828,0.5930044752240834,0.5244428840069185,0.4892092760277121,0.48534225398049846,0.4706399033515031,0.5302278708424243,0.48275541750959594,0.6704157948099266,2.0521295307824565,0.5900971894981789,0.5454716230188729,0.5192464206425996,0.6312392292651113,0.7084950670149401,0.488468163781519,0.49346755211217624,0.46551576403037265,0.45490024363258674,0.48473374713321615,0.5114390751292525,0.4640045023766226,0.5144020163558811,0.46713429941954554,0.4708262151266998,0.44615676024389533,0.45961859736241745,0.6042536785172666,0.5479052494246155,0.5832435320043534,0.6406282721816315,0.7021516930905628,0.7453204914850532,0.8284342655683223,0.9843142952039076,0.9148195530253034,0.8641738910720331,1.055256577462362,0.8054244339414546,0.6889011863951323,0.7149314608067016,0.6277153136856312,1.8465951000131053,0.7649823984885838,1.599536850774151,0.7679482093605671,0.6509445497376135,0.7659518397734322,0.8013148825916344,0.6029688346775375,0.5177899332665389,0.9412802162690841,0.6730753796757502,0.9865352065002717,0.6042432242266004,0.9760655685724967,0.7172418827838877,0.681022444793625,1.0774841995437145,0.56247642436336,0.6430481653361073,0.6672865809466793,0.7782233605268147,0.8310737685167386,0.9988765669739808,0.8750183346890155,0.7396414683945628,0.7396444007660679,0.9072855265894314,0.7868702443978284,0.5984704095361253,0.7897292274840233,0.8574252837219914,0.6558925524462669,0.7279066573636144,0.8828049779112305,1.1136412251566048,0.8289392469743628,0.8086276860504219,0.6970892691830418,0.6570458134607842,0.5778176222852746,0.5774449233804203,0.6481158927318847,0.5658326074074427,0.5593656468977282,0.5386103878852653,0.5800261319565271,0.5127277256863698,0.5173033814689482,0.6396458719682084,0.5922384049750478,0.5902047646885052,0.6535023740515161,1.0240593579203734,0.7955745345552973,0.7900978670738462,0.9307399251629634,0.9699583689499865,1.0977571683670941,0.8633412132757559,0.7636127343152673,0.7737443745821482,0.9489272312413224,0.8271077448953615,0.7759785077071076,0.7906913460200428,0.6035331593785598,0.5263985817955195,0.4724399487376156,0.46030465964494016,0.5432949173487609,0.4195334032010011,0.7145579187143566,1.2376399425984423,0.408713548251903,0.6903099496424537,1.1084130829284409,0.5964291380653306,0.6984834386923108,1.0939585122283928,2.6469646504902515,3.5849249310286186,3.7941916086325023,4.458029741166717],[0.5840816086277897,0.38479635078056773,0.4150871579489747,0.41226216638084195,0.33275674341917044,0.3090159138254796,0.15906803388010207,0.2743481387462097,0.24628491888247644,0.2636498348425388,0.29921004926027683,0.4256508753763191,0.3239125247532014,0.285214890792734,0.4190803700501996,0.36779374826352323,0.3472501409644173,0.33006377077738075,0.3305795177828536,0.33017781562690546,0.37270538801229103,0.44951897868289903,0.5036821988183448,0.7005361539394611,0.5733530336426279,0.4430573452619558,0.2947873870667271,0.2880470397568193,0.2880123659073,0.31815469322939516,0.37427797175248767,0.4014644623355732,0.4556177724027633,0.42594408932555156,0.3803563359809801,0.3291630197898634,0.354874244506174,0.3050365202811755,0.2797633249099386,0.2876033838315278,0.443244042725546,0.37212233351539803,0.3536710888398959,0.43743676725569025,0.6523793322912073,1.3803565977221726,1.367983766635931,0.6179390008604171,1.5269344588373963,2.2070416630329603,1.0052417011263217,1.1811324079584762,0.781881609971275,0.44789743542082905,0.9279821440081105,0.4881556169098515,0.5083908062882858,0.4875212327839684,0.648256163692287,0.9264627988568821,0.5415821075880749,0.5728244682187202,0.4213587747080188,0.4840679286195193,0.389725141966265,0.447072659841018,0.5191371317350261,0.37170236764817904,0.4758918448554289,0.5146975118773818,0.7246717049275647,1.0762412031050719,0.7624362531707635,0.6235129419382924,0.4459357445827898,0.9135065190718877,0.3578946099365969,0.4171472258368959,0.36401983653813297,0.41699154157619417,0.4000218722420024,0.4365522042196724,1.0744431278289488,0.5014874732725358,0.4063033232391575,0.3402263087984911,0.31290581514927773,0.47571168654199614,0.3296401722990699,0.5050182123283778,0.40507464521040565,0.5840710833808398,0.4504085688539972,0.40691028876092195,0.39496034270768765,0.4345193360509153,0.5190367962458584,0.4349363091850875,0.4243271323572209,0.6276575209170381,0.4716497683373975,0.52729932298467,0.34975101862638025,0.4643667609514254,0.4641318944549152,0.44819542307063465,0.5262428014001204,0.35144326326679187,0.3787107960233739,0.45445277959156855,0.2980593102323938,0.2521438684458242,0.2127620140293792,0.2830803314797729,0.2413280880332066,0.2632599473612703,0.38358041972358176,0.28666725391611947,0.35144093247016966,0.3942154190601605,0.3326016999885919,0.2983567633399933,0.2872389693753296,0.2357589952265586,0.21960814132161,0.2606268965564261,0.4137936160869179,0.30279220515628286,0.24168330841832755,0.29466536272407007,0.28832399036681866,0.32827137894305863,0.31488451675524043,0.4583833374055155,0.39245000288927684,0.42729588621878684,0.582140558290366,0.3702048145880722,0.4863937025178994,0.3751155000035035,0.5538758685262459,0.48357011320353005,0.3683515147864471,0.2962073194328891,0.2511641589248438,0.2552510180835012,0.23210942178253463,0.26548584943893466,0.2568305802401426,0.315447164295595,0.38249563338138876,0.47992087463276584,0.9006716957755767,1.2747871326670261,0.9727215730253778,0.5212977868397629,0.3817021564138252,0.40158494745366907,0.3204079956283435,0.42593168893343314,0.27589495895913374,0.27062181494928594,0.2513763581963568,0.254561135521556,0.4106606764680441,0.5073580981730093,0.379358374462042,0.5477006012683988,0.600234647152038,0.6007709020579101,0.38518589685077587,0.3528833703330468,0.34713912474629743,0.3191210380364575,0.30827349415352273,0.3813065122525804,0.3878308832189408,0.6410649639539937,0.36740680296726186,0.48521280740531086,0.4722172514921434,0.3236493242733483,0.31195616588652675,0.3363566153896711,0.36419433911938526,0.3890435587084325,0.3419484745724624,0.6605738334665952,1.9961090534099697,0.6317629399090606,0.6211721773593557,0.5272273251434286,0.6732029760069078,0.7297247833609047,0.4471316356077782,0.38477484154916275,0.3690464328904699,0.3246516446763954,0.35344189967683215,0.4119091251935624,0.3337659928943905,0.3712660379617569,0.32540464962580207,0.37968179554440806,0.3840088553859404,0.409238911045442,0.5150538557334432,0.4636880894755291,0.5163817381153354,0.5337965345242037,0.5624234367902672,0.6006041284011788,0.6787225491084237,0.7964082071340824,0.7056890914479027,0.676434674826171,0.9389266269246123,0.6374598505027522,0.5473931162384208,0.5766617246290204,0.5205392701613212,1.675164683577257,0.664792323488978,1.5387553742591462,0.7203581550621773,0.6050274143419095,0.7374886734228875,0.7643443932007112,0.5844310809335037,0.42924482452284496,0.8590866743872292,0.586298690292966,0.9038622648499971,0.47090945069008816,0.9104640814681576,0.6774489860739021,0.652570549037685,1.0950789512331682,0.45300103889674687,0.4867203999293956,0.5555018831998044,0.6930419700626359,0.7607662984800242,0.8950260806627466,0.7609421984147622,0.6435898549136754,0.6773751724603769,0.8425218486438067,0.7087185125518722,0.5898011111329973,0.7703864969608298,0.8624065033465135,0.643589528298264,0.6923104933418054,0.8487750171560747,1.089124399728901,0.7266405440373548,0.7112724489506068,0.6081055558378924,0.599354941180325,0.5436716821982682,0.5200745262901654,0.5772944949773432,0.49558115034596223,0.49084767509123955,0.45465379811437706,0.4846965658743929,0.4238479284515034,0.44767981788351413,0.5703386720257061,0.5153129871511436,0.5324624576869996,0.5745818236563407,1.0217233035621105,0.7622817713837333,0.700763250793511,0.8714244952163301,0.884073888132453,0.9404509421847181,0.7248280508737713,0.6203742078749903,0.601276289213441,0.8263668361574473,0.714767130853708,0.68915785408688,0.7324149977859427,0.523446865817634,0.4277516263361567,0.3451865706660453,0.3269685305101966,0.3869088617127808,0.36621626650931843,0.7265382636164104,1.174420889859915,0.4401050020674245,0.6743309967639824,1.1026865957277785,0.7719704093834843,0.6822211004845338,1.0104353529428047,2.2802776925139856,3.1800533488370433,3.2205150941750293,3.752157562191063],[0.48350839742049173,0.4215563877464358,0.46022053031601134,0.3750158081614785,0.2619395038306215,0.2965509631351773,0.14963381642560528,0.24445320252274477,0.29231874135494623,0.2485486102236248,0.2521137016385072,0.3880656258892377,0.2893735831661763,0.28619605930512915,0.3322221875768988,0.3117865020128494,0.3717953816206771,0.3372617900886966,0.37212599337318164,0.358705798410102,0.3940316413019077,0.45719336515391173,0.554437152579532,0.7170769550170792,0.6366273921765698,0.4823279931542579,0.32241469959168306,0.2912833033650459,0.3122777482494244,0.3149480004789526,0.33404655164088926,0.38745952624023583,0.39202911429990306,0.39386220792172005,0.3483044830333334,0.3387447807035311,0.34819662388945505,0.32087208129094863,0.27848162968067536,0.2979845015099822,0.5063881569573215,0.3847107433502405,0.3832287229909799,0.4541681619847264,0.7252205148018418,1.4238561726270647,1.4653982130398324,0.6735230885803352,1.542393569478919,2.228339403474103,1.0522644561677845,1.1501750694234592,0.7857784747174178,0.49800323091568566,0.8976127470222144,0.4763970739831757,0.47985375389828105,0.4919131783485316,0.6263858610336686,0.9593069618332362,0.5572341149510379,0.5535937784596533,0.40868019655455673,0.4866741860276171,0.41533306683305826,0.4666976497511788,0.5166678669499966,0.3889514429663767,0.49963929534390045,0.5319849043234429,0.6810304744651329,1.0171252253626337,0.7018007696525946,0.6155463590790997,0.44558330164645804,0.8935056344406673,0.38708289364729975,0.4012340302471979,0.36875958576924867,0.4370552236345098,0.3845431991378871,0.4330470567676257,1.0503262073505895,0.45835497300246236,0.4621551704103281,0.34657231442527253,0.32607786154969093,0.47206250051410586,0.34878803440711476,0.5227091828888639,0.383827730610777,0.5533730148132482,0.4087877254155753,0.34730968011059354,0.3432050917695986,0.39915549674863177,0.47812856328772846,0.38185099176059706,0.35623800800809163,0.533697335212126,0.3753137863449102,0.4659534847129541,0.29338904756431455,0.3941343693099782,0.45248932326743774,0.42490640403127555,0.4740100156117262,0.35282846166599185,0.35863585593013786,0.46336486189925286,0.2790705417510184,0.22857685996303528,0.19137308845638354,0.27145778133242504,0.25490668707017167,0.2858903123449229,0.40083022416926567,0.28742921505506164,0.3869094386519277,0.40184581874182396,0.3309312303761577,0.3126491548486003,0.29751640810103147,0.24560533167989723,0.2296846384188243,0.25216726181486243,0.31109688031289046,0.2913081323301043,0.24156357532883624,0.3324957918950802,0.32488440510894,0.3501934354982421,0.3639090017483712,0.4484606299989924,0.44189541544206573,0.49829874127401497,0.583892128764316,0.35105446904343723,0.44136890743481094,0.3524125006895292,0.5590575897201473,0.5076669004467731,0.39455621134914953,0.3125608965071695,0.2703256481684253,0.2761807368311941,0.2563056563217896,0.25605050950123476,0.2393288029297071,0.27321031839068266,0.31421902440709565,0.4170830941126263,0.7231911194909348,1.1493083004916944,0.9270951017280185,0.4189893406499852,0.3005574028990714,0.3032867893192725,0.2853110407005282,0.36628753894332045,0.28450095771059697,0.2788522121565041,0.2619688477412013,0.28238163295073326,0.4127857921019168,0.5191716324966007,0.42848605778993576,0.6093124335546202,0.6392283448424683,0.6335013488680798,0.4178925312964803,0.3627555633809773,0.3608161368708093,0.3215729473790677,0.28062236068158647,0.34522432361281546,0.3779009964571,0.5972049219607501,0.3209573442967043,0.42353263875010533,0.47183979610828136,0.3065443403272383,0.3216849837934131,0.3733251664226996,0.4157264000151578,0.41371321403234046,0.3748269472788013,0.7080696891746777,1.9731906911311636,0.7510748281708897,0.7758639328634425,0.6413122702039336,0.7776084640740042,0.8176464087917217,0.5242719712381011,0.41294762488578934,0.4110641795486836,0.3536739539293757,0.3471087856103736,0.44912535704672996,0.3303002656008718,0.36212648840937794,0.3187504877936155,0.3723511931889453,0.40451073123515285,0.45657729409545045,0.48312014451926844,0.46288867296937836,0.5219043799011437,0.5349556521417951,0.5434721029828666,0.5839545102979795,0.6689858749945563,0.7388344379493414,0.6582097959462959,0.6131353243161125,0.8997254008239363,0.5611334125908054,0.5207709138701495,0.5455743702250081,0.5091417436755102,1.550664336959835,0.6345797497420318,1.4737246639185047,0.7402402507393724,0.5997480669850486,0.7271507460223794,0.7582451118171986,0.5984526685057729,0.4537531680245137,0.8226665390461152,0.5841667441454182,0.850794791191005,0.43276671689587154,0.9208464963013793,0.7025911502210588,0.6554012787277018,1.146919136022623,0.4156321710117032,0.4973075236680256,0.5558020678560899,0.6697218155416439,0.7723621530193344,0.8345686466882944,0.7565544894067476,0.6384007391502836,0.6782132895997058,0.84399239383629,0.7167137519461636,0.6196089959232983,0.7656192730678948,0.867669059904109,0.6614483023488767,0.6878096764700501,0.8245167395733171,1.1200939492542765,0.7131063518779542,0.6904466039640171,0.5880833639212374,0.5934455712380814,0.5616118290851517,0.5267175072357592,0.5684206328050339,0.49793869214215514,0.4971978570426879,0.46160482003078795,0.4832331885689587,0.4261161622431154,0.4686102968629008,0.5584306152889319,0.4824288214230614,0.5121272171973135,0.5733846672841361,1.006127129926005,0.7613205937581348,0.6551599557191871,0.8812514234434581,0.8711128145907989,0.8476665221988704,0.6572019552136398,0.5594367812988282,0.5260075197663009,0.7648195258907781,0.6242265868278303,0.6186281839356005,0.6928314652478378,0.472298963338228,0.39374747235452107,0.3212878965745693,0.3053009209171266,0.3385223913262495,0.43429152535464116,0.7430272750285971,1.1593853620511356,0.6250484467666833,0.6951599502081308,1.0893225929891137,1.0148788462947962,0.710645910434301,1.0442959433493857,2.0363388410142873,2.868905763265616,2.7748845338075263,3.3064898246464],[0.3944266199001642,0.39352062126321485,0.36186131111512415,0.29457374648056095,0.33405988315964774,0.19857764162676925,0.26093084784308296,0.34563518365881035,0.3446546808880299,0.267453251658128,0.28188355998904074,0.41970160545693525,0.3024367272739134,0.27864745716688627,0.3376044415278436,0.31537497661443986,0.36729501248527424,0.3370760509913398,0.38004250102501375,0.3549454348184941,0.41914494444286365,0.49665139809382813,0.6016697005934005,0.77766387036674,0.6915558657591627,0.5342780404020512,0.3434223279790665,0.3118365146783882,0.3094668350629231,0.31416694011317253,0.33389508510373256,0.4080144362032735,0.42307285947190826,0.39587774696429107,0.35451554406067604,0.33052772463356633,0.3581341896078993,0.3442567035252784,0.3066030502990957,0.32466327463942435,0.5173243453524432,0.4034727373295778,0.4051303710989409,0.4847877553381995,0.7762315602043377,1.4284789768233026,1.5750480892207928,0.743184231696387,1.4871185297969236,2.2555166191202223,1.0641593929962945,1.1801311518486206,0.786554430996646,0.5210101069213896,0.8714794011307434,0.49110135167135033,0.5215072416288152,0.4915981479271988,0.6165112303017662,1.0292465087148692,0.5627218914982542,0.5312495936222666,0.3926817067361512,0.5081495190766568,0.43150221903909464,0.46167854494458604,0.5021659014253139,0.38430645443235617,0.5196348214654596,0.5618891080051162,0.6955928150382068,1.0258347563137533,0.701691609432969,0.6422954914236064,0.44887250945032736,0.9225514425824207,0.37827453354468094,0.4089730831347638,0.3542666678117222,0.42388348831862865,0.39122752140238326,0.42493677664057244,1.0170304599127424,0.4562344996954103,0.4819844961691652,0.34283359392892954,0.3368245993373262,0.4765388866406557,0.334041600516785,0.5291026455698086,0.36777561874092596,0.592309170915855,0.4258019069151601,0.36516592016064475,0.35306062369599306,0.4230821144906853,0.4747111184798077,0.4159026103263115,0.40004418661609653,0.6155185953905776,0.43490430184770285,0.5283197336867702,0.3484257300053437,0.4624347026171354,0.508401957672889,0.46744374863575183,0.4901824229546263,0.4117230804720355,0.40626102436415223,0.445196087345629,0.35000624376122763,0.30858793474869817,0.25099840765380393,0.28448537065278856,0.2800121295127704,0.2970521560085392,0.42387893845817554,0.31725703844273695,0.41466553895894,0.38966018434887384,0.3474978540149519,0.33646973803131797,0.338398138241131,0.27429965608771567,0.26018565042619,0.2847821393593727,0.332473559408816,0.3263107704972808,0.29633136495200985,0.3430422507551529,0.38448939547123506,0.4188978808643007,0.4113445817085269,0.45008428898980085,0.4620441872164162,0.5600025700596025,0.6288363403264008,0.4277275807477175,0.43719027568029006,0.3870211438288459,0.5708743178484026,0.5825990141083899,0.39435911152675146,0.32619188885246164,0.30201328075694783,0.2999928042316277,0.28294661504980007,0.28646998638551635,0.2775820463607314,0.33039022135273666,0.3990024463113381,0.5057231077664547,0.866542653747989,1.2582170042060368,0.9629416925755007,0.5211264075567373,0.3849068279509297,0.38590760508932775,0.336504088169811,0.4046380641437655,0.3022291009149904,0.3069797601500837,0.31433760665985677,0.3264615932870022,0.3956523506836971,0.5884679753176193,0.4905710228786702,0.742305567850237,0.7665881484099841,0.753279956616999,0.48099070827769624,0.41026551373792164,0.3930537956856525,0.3660857633702674,0.32277346972858145,0.3730215917473396,0.4131924742147764,0.5951326890884167,0.34605144807210836,0.44664631031262,0.5730344615955268,0.34401867086350457,0.3711661229099287,0.426379493099478,0.4504543465156793,0.44734155081126425,0.39809083470622325,0.6890766032334187,2.066498556227227,0.8070662219102999,0.8857850610754231,0.6695687610886341,0.8382354589564156,0.8669136609591618,0.5855730413833475,0.4649098201198087,0.46591182350462806,0.4271739181212315,0.42723383842116575,0.5148608839793308,0.36730192352506735,0.365270307368531,0.35191541442460617,0.4109800428389891,0.39599032255451394,0.42823169327304605,0.4973939984966644,0.4525443172237515,0.48870584541328876,0.48727689355772996,0.5086937349602078,0.5276415313080436,0.5900581092021123,0.6515900707298568,0.615342722443037,0.6193495381914172,0.8820315023093139,0.6129479990802367,0.5449723189590977,0.5418107670400979,0.5175897081227032,1.4517106197558225,0.6827018518054434,1.435128041968658,0.7280284685426857,0.5830966497879005,0.7323530890165602,0.7081109818415929,0.6595442426468474,0.46494536741781506,0.8109522618837991,0.6344740843501883,0.9227579654222875,0.5156250610392878,0.886723492259664,0.8894159820145666,0.7500769695683276,1.2077638951899259,0.5257973935698947,0.5152218338208772,0.4948991600463452,0.5771340926004795,0.6776033314815657,0.77296950720358,0.6953604384520582,0.557825967554054,0.5925340288158217,0.7495821805911602,0.6555768127763444,0.5618686290833531,0.708270456529346,0.8350427722865784,0.6130198783749603,0.6151950572561012,0.7393509965479749,0.9801319838344432,0.6438634855187492,0.6214546423196651,0.5358707153704623,0.5280129847997661,0.5086645217820077,0.4790179920508962,0.5198748212930471,0.4625669041806315,0.47830826474342936,0.468697553615925,0.4939118127061505,0.45705774396519644,0.5147170308603125,0.6445506559563275,0.5617478352888521,0.6184719542893219,0.652129508243481,1.133480510769638,0.8376854660502607,0.7528450007203603,0.9538179245148919,0.9517324334381875,0.9870666581151532,0.7487760054958673,0.6171745327695116,0.5283283969052229,0.8168247832368914,0.7271838233754603,0.7615703776802277,0.7819001990962371,0.5830357635082954,0.48504494354767774,0.3954468527934525,0.34282370151590585,0.3609155975436838,0.392339898334469,0.5730396962611055,1.012681325078224,0.5411557189207065,0.5307925376724265,0.7350053587709531,0.7593685813317327,0.5735571765047245,0.9529173319160635,1.3747262250440564,2.293696903419358,1.9708888163394336,2.3907098263513076],[0.678498289268614,0.8140247214431247,0.8044890861137891,0.7035169084141859,0.7013338623412495,0.3499076657516466,0.2936217221465877,0.3734361030045084,0.5057390506222241,0.5179349792778629,0.5791661643265289,0.5707999911785759,0.48262430357460634,0.5721484104989895,0.5886650075475255,0.5123309156304209,0.47043176404408027,0.5144092178747594,0.5726955130705964,0.5171472152793548,0.5373884762405506,0.5920319760026977,0.7665371312815746,0.8735224542657887,0.8777873390414522,0.677261585532163,0.4845145249852975,0.46214937452430704,0.4444364672350669,0.42716818965840436,0.53813288170723,0.4704907690254013,0.5102333476931952,0.5416978800980239,0.4693423476039611,0.4702805640491842,0.4457692679829479,0.4885188359158998,0.3918745519583488,0.41770541664758637,0.6003929643818959,0.5181823916405791,0.5034968192768999,0.6227204242868113,0.8834762365170643,1.4939776212666438,1.7710829799403405,0.9334259939914226,1.5386478871890565,2.3209076075147865,1.2217779504112527,1.251591227217628,0.805172417290995,0.6400762752654833,0.8344569081302289,0.5911539877571391,0.6729162797015321,0.5476429024992554,0.6388801740068726,1.2399622557327135,0.680828242614836,0.6612072033903927,0.5868757295368053,0.6628868880758004,0.5922159081661609,0.6040183389910094,0.6541144033452152,0.5853930110514151,0.748208646151583,0.8069127863908153,0.9244766201118738,1.194840648623122,0.9314454717885705,0.9062424922210933,0.6390995372828776,1.1029032266870193,0.5578348583975629,0.5584089387480444,0.4862177262203847,0.5255203171382574,0.4319352091941834,0.44630836026679815,0.9207041502734428,0.5553986660968374,0.6215237840404457,0.37581157126170706,0.43237319751483033,0.5392569254032663,0.46511427826592794,0.6131185104425165,0.5519130318361197,0.7836633514239991,0.6855544419628091,0.5724577523056285,0.5687188134529821,0.7078177650999634,0.7625874325603555,0.5824802742330498,0.5371946165426896,0.6258529875218022,0.46990091433045983,0.5196997553964211,0.36899473889250173,0.4219031016813941,0.5630796630479973,0.4809747627487359,0.5589944064086404,0.6116229083122691,0.5505171460572037,0.51555290252639,0.41533560582752993,0.3412267241508938,0.2714427562181067,0.2955630338126615,0.4237823374240569,0.4151418077692205,0.5892888394728542,0.47320436889070444,0.5844711117583918,0.5290185957348893,0.5616248951269731,0.5895173704802131,0.5304799062237664,0.4363119581406269,0.35990602375697067,0.34420709519440473,0.45131511277872155,0.4548995654138189,0.5556561375067043,0.567861568483955,0.7512713328660885,0.7565845794108687,0.7350764038118106,0.6038735902401247,0.6998620748412703,0.7422188120547015,0.8050226917913583,0.6135455878386282,0.47805891446275706,0.4499708673674754,0.6408521865232302,0.7088711491601155,0.45748248819384835,0.3896772664747543,0.38500658443502594,0.412190885608721,0.3824697687524901,0.3926567437184052,0.29048673097000416,0.3695132365272076,0.3596965837535554,0.5471281850336004,0.7614834575119348,1.2243294100848123,1.0501955229929474,0.5628526451201271,0.4695604618874596,0.36367507727511744,0.37499872540241574,0.3698374745301397,0.364354051595989,0.36176634985142153,0.3853720841211435,0.4031126412256204,0.4751782013342013,0.6971648198788797,0.6949689830297157,0.9656726742494738,0.9901086342381423,0.9187863835264032,0.7039023927295102,0.5270068735170828,0.4964367268098587,0.44933775273403537,0.37806437988802377,0.3447631941658907,0.39676391260363886,0.48801700482795757,0.3688064171149844,0.3952780332281065,0.6710538851426568,0.4149053795746828,0.5318020100906229,0.6308941851352283,0.6297338606934828,0.573229909330875,0.5300719877759815,0.8180592408908705,2.058751967620056,1.0726343499341944,1.3007494098408892,0.9460658814321571,1.1817864372831874,1.1845171551912568,0.9414919801991296,0.8844691706854284,0.8972072681225113,0.9171520460740321,0.9294476471039542,0.9111414323523008,0.8237028915758853,0.6904586081640438,0.7016968401210404,0.851451918051927,0.7895045840954742,0.7616490444125492,0.8881556503317036,0.8617649506598697,0.7663268593669914,0.7942982724113765,0.8627455523041203,0.8321827312229837,0.8166469410941009,0.904492064242331,0.913705560095779,0.9888459757457256,1.1059618476840924,1.0150191744493722,0.9200167430151397,0.8931832841123808,0.8838204579711074,1.171165149118086,1.0713991073578817,1.8065459227658538,1.0298109649478697,0.9282386033595149,1.0267503614354545,1.034607980832358,1.0892676342593903,0.9604896159501587,1.034969883861983,1.0999009447980512,1.2690444577079865,0.9888012183337641,1.2409791312920417,1.3069716933078264,1.1973022367033515,1.4853135493174692,0.980492441104821,0.8847354334825543,0.884039109720195,0.908226134024049,0.9161450001084698,0.9148922464806067,0.8385987831938868,0.8041934341795274,0.8182867289680926,0.8277001336681572,0.7883507918622414,0.7498151066149782,0.7586476557456966,0.8178797091194194,0.7485626365279512,0.7779687068216271,0.8213773049254204,1.143348965127137,0.8386889610109813,0.8184030176497682,0.799002600241252,0.811334699787907,0.7737850535088288,0.7658982985809006,0.8503339081535722,0.8274615435343282,0.866296362714715,0.88042024469125,0.8762364780396095,0.9111685812652163,0.9894999929866247,1.04834667959157,1.0096403284152002,1.086840668830465,1.1230344298779773,1.5730520643976742,1.2795093557199055,1.157407643984209,1.4184827493610748,1.3651638920054772,1.1895811927202697,1.0937126903246113,0.9944873441649088,0.908591067135144,1.1032730760056397,1.0876398791426845,1.1449445472710948,1.1844295947555354,1.0582928526153141,0.9450856111505878,0.8456419475428556,0.7166786040634964,0.6580994557967218,0.6159464881524354,0.7755578465142025,0.9898552983440122,0.8209865453734165,0.769325777995861,0.9179384365466352,1.0232480440609864,0.7866312362672383,1.1763748402168235,1.4073711622347447,2.1951198634530935,1.6572530429120524,2.314173932221567],[0.5424340388122629,0.6075704532737052,0.49101541316677205,0.3586017499919197,0.46519352960812904,0.31557618729030923,0.3052228572658815,0.3621377956982853,0.4199472455783136,0.3376412435536401,0.3713509319332928,0.46586593231885104,0.35810480345277795,0.34615538807064605,0.3847631869174664,0.3654412969458756,0.390171681883346,0.38502147358479255,0.46287531996587555,0.46170343723188517,0.5437139647429657,0.6260053260413031,0.7007804392749535,0.9631581630962218,0.8297137974929061,0.6815589785527838,0.4995233320039529,0.42110020789627123,0.37586667504653376,0.3626259770128543,0.3801586229639763,0.4039503707140834,0.41911509356305937,0.42265980482500487,0.37523471938212505,0.3993493280437858,0.3922975050217702,0.42862304186112643,0.41109061959920096,0.4803314826812952,0.7052865128850894,0.5191011145104223,0.5536667452719257,0.6712658938963773,0.9727527808415247,1.5298439090768179,1.800053128432315,0.9616862109394461,1.5020347463357433,2.258289074770684,1.204888167348446,1.2313320768606348,0.8487322654497059,0.7013114289585409,0.8219048931534833,0.603076441235777,0.690509123252391,0.5862804566797029,0.6649944471442782,1.247762930826436,0.7141410793922469,0.5902700447760403,0.4868639853223636,0.6074171116343652,0.5429017552491884,0.539405250145218,0.5753330770428388,0.42948182479530383,0.5809943016280705,0.6241984168379199,0.7077650721323933,1.0540732851374575,0.738175756303136,0.7378433434006478,0.4839280191831865,0.9739044197887669,0.442361003810311,0.44316561745459,0.40295998786050274,0.5006499907120249,0.43241601516840933,0.4550551626838808,0.9621498774097214,0.5938478385372228,0.6547375462631078,0.41673220431900004,0.43689089208296783,0.5112845861046414,0.4176741602807319,0.5441367131175233,0.4414176297637072,0.6671703102304517,0.5092635894352435,0.4076493741681566,0.403715621453096,0.5079645453418525,0.5544979393200502,0.4673247849791773,0.4527853617296705,0.6535177218456149,0.4464669347400061,0.48318237981912804,0.3667675719743883,0.4530304841599824,0.5895342811005463,0.5051129893998713,0.5504491711676087,0.5464783717264076,0.5040409846652448,0.5177912885030567,0.4249749665716409,0.39495838168709674,0.30237175643438596,0.37790893714173834,0.3486403785617635,0.4052620756944677,0.5063229165079145,0.4518938830687674,0.5315697359428952,0.44941840047083254,0.42410350416391346,0.41463448565705047,0.4598818903712157,0.3695540106403046,0.3246256285951669,0.4493513747606033,0.47811118564413196,0.4633114532262279,0.5168644964617519,0.5576471330472195,0.6889076187214913,0.7046805924726747,0.727615628622529,0.6320066722739792,0.7342966216593042,0.8236054178690462,0.8395302502721214,0.6770725372783887,0.5398822763651868,0.5454011421748418,0.6905439544362868,0.7714654366098913,0.533371464977703,0.4606587489643367,0.4548045170225346,0.40964480494094674,0.3992420781395373,0.38329162109015225,0.3254741282367289,0.35794385205649487,0.38938996841676493,0.5426776267522125,0.8513618185023833,1.3456727055775175,1.05020885227796,0.5572152641556709,0.40666196900342333,0.37217201708875536,0.3388345902658532,0.41824522653839,0.4256378030370257,0.407854730967728,0.47626590367138627,0.4697059281766184,0.5755141578784765,0.7507418828551984,0.7796235788021681,1.0571442812191116,1.0668685673727527,1.0085458906639617,0.7624055583838326,0.6155804608119482,0.5937044784188817,0.5140542122708259,0.4420125762958238,0.4011563792778019,0.4434836790333362,0.5802020465525122,0.42717828445320655,0.47356712249051236,0.7017842581395264,0.47445606060005446,0.5788760453992915,0.684272394225192,0.6897854802603878,0.6622917647200617,0.5990153982905282,0.9002902416439743,2.0142212128453028,1.162845815344906,1.3438451967785616,1.010020943892073,1.1955169837360389,1.180896864763666,0.9270601666770957,0.8163142745029773,0.8042906730705441,0.793130396658768,0.7299764150011138,0.7495550505177324,0.5821005570238317,0.4987146484196219,0.5028268084685722,0.6010510255503422,0.5620498746755712,0.5810211281530959,0.6264577639523085,0.6152817792143427,0.62416629134117,0.6509694540840207,0.6797868758384636,0.7053420084626233,0.7831526091682949,0.8253170084089231,0.8097641099103742,0.7902842256884963,1.0222822464306,0.7840937630054655,0.7095299337612796,0.6951527036602896,0.688828152623315,1.2746805356988886,0.9098078688495086,1.522404189714378,0.814173499910909,0.7322318548911418,0.8946841962973868,0.8552465435210048,0.9287101442274429,0.7189366376199765,0.8922955654439969,0.8655086580297366,1.0575392442723761,0.7622763944790775,1.0882298721821875,1.1843660054699132,1.0170014048646563,1.3581329117385397,0.7672879918439277,0.7327037045242509,0.6716358580978677,0.6776030547927748,0.7547495868862515,0.7796267140538176,0.7230816189126535,0.6237704509363923,0.641248114009726,0.75423155041664,0.7001973011286183,0.6435112754417581,0.7547152939249387,0.88518731638846,0.7131666905476116,0.713279375545632,0.835223149794973,1.0571532741798773,0.7788787056688602,0.7682649311419228,0.6864986117030771,0.6598241539169457,0.6172650115374584,0.5729810571764183,0.6780304490352588,0.6124597265257862,0.6296406249834818,0.6413496664514963,0.6463327171165121,0.6595209666842802,0.7399630889656058,0.8466389162174817,0.7601588688333005,0.8651249845279656,0.8954633108331946,1.3571043709338704,1.0347848648213531,0.9275727728429112,1.1979821928494805,1.1744431932453088,1.1299885502385532,0.9017545003142579,0.7503867089366568,0.6653904104131565,0.8657404952591087,0.8821046525369325,0.9955189662678926,0.9844685898447239,0.813366953448317,0.6994538249870266,0.6451810282282887,0.5508394741131207,0.4513562014990211,0.5222585150197975,0.659873279063941,0.9680997612415018,0.7129474856226187,0.6153963214127186,0.7223303577632272,0.8374219311753034,0.5860626799269382,0.9738045657057476,0.998063509681719,1.9609334453232714,1.5417794980171142,2.3890641643952395],[0.6362340746366707,0.6756343812754158,0.5388708106591205,0.4295825099294808,0.5261045410908263,0.3523617108323603,0.28790860910027855,0.3591475777415696,0.38571760038631525,0.2757309080823937,0.3251758456213872,0.4433342655049391,0.28478303749032374,0.2837004628721067,0.32272107612493645,0.29608875715504973,0.38072195585142815,0.37726782910844503,0.4992526375739995,0.48367299481997666,0.592939097943088,0.69681131152473,0.754556354571607,1.0672307548614435,0.8795277585667693,0.7350404511947805,0.5694465351877375,0.45727994359600344,0.3831569745334856,0.3467794660315275,0.34575884060450224,0.36529567167121996,0.38541071034786323,0.4069670714261874,0.34859452932797674,0.39588315097792104,0.3939500939521075,0.47595505652849357,0.4897996516573745,0.5912590101958948,0.8308964820921881,0.5878485727781945,0.6571536584197144,0.778386741928946,1.0673991736851365,1.5523493086634426,1.9039358259841903,1.0830013531947646,1.5019010242611854,2.245635396331658,1.2797832722257998,1.2657922716943297,0.941568172742026,0.840969867020282,0.8673666310425827,0.7318033601480848,0.8019594235107436,0.676156424196025,0.743038664561341,1.354970168477544,0.8106455871776279,0.6379495235037055,0.5108391304162845,0.630454490389438,0.6208206697648014,0.569498666203601,0.5882574822448242,0.444726098402967,0.605267868255858,0.6081107659258218,0.6851283591742414,1.05014925035923,0.7086187654948304,0.7692910533962077,0.47368614176111673,0.9518572840613705,0.4607526273265811,0.42959485196893515,0.4164138646320633,0.5531823775649503,0.4707236679554672,0.5218975683181372,0.9503691936497073,0.7292800679143714,0.7791098245937566,0.4910649635297587,0.4882095336251913,0.5283823713546256,0.44291919525847784,0.5215295534019053,0.4082590299568028,0.6374398470417024,0.48100158477446336,0.36897856012018765,0.3577016478758008,0.4962671845316592,0.5468367205797765,0.4510710941926122,0.4380842419983895,0.6392271456997279,0.4295710094699416,0.4737379249157842,0.3560724765026342,0.45223649895338575,0.6246386051717737,0.5549783844951472,0.6209455011616594,0.6625670510990382,0.589700535514824,0.5581593558452539,0.48439475698112855,0.42961504480503787,0.2991204294391206,0.40772600740577924,0.3184856543911768,0.43388306441535546,0.5126549067353973,0.514194800661826,0.5950260098276362,0.45110581789051624,0.44565945562857245,0.4098721384541978,0.48032594717875354,0.35895034132681564,0.2905841389756741,0.4946873301543463,0.5491630949770139,0.5597432468613622,0.6488209204427708,0.6838800682584176,0.8736886872659708,0.8984725565489117,0.9282219977152392,0.7684162157665162,0.9027049325364369,0.9698067561369319,0.9803047916529527,0.845247227198651,0.6899377454535904,0.6786654118994789,0.7766037552210994,0.8895368332966438,0.6150319769111579,0.5593012539408283,0.5556365494070463,0.4619013881611652,0.4552476241486016,0.40878225114777794,0.3397298902113198,0.3100528572336776,0.34749612218671533,0.529761980515106,0.8576779179998135,1.404189522063295,1.1065657986175157,0.5505052529226686,0.37919002026826837,0.3495185844926098,0.313114883911343,0.42162065840058377,0.5059354491682981,0.47680293780248423,0.5910025048385613,0.5903311937363561,0.7442289052173908,0.9145162013447926,0.9857631105498045,1.291359661330851,1.3002495251323216,1.2064625070294643,0.9540635572982317,0.7742335418895256,0.7371314159465614,0.6391660080468131,0.5268012903375671,0.4442097577254172,0.4287998915982965,0.5839819034825074,0.4997687434208291,0.5436656368103373,0.794538405919285,0.5820738409537128,0.7465078722479467,0.8784135307727826,0.8699153960390716,0.8525478547206874,0.7416431821695112,1.0573882127390424,2.0182801292285983,1.4032002019693413,1.647494328318644,1.2536875582042097,1.4530081475771353,1.4142187004567675,1.178527308282123,1.0668327905932602,1.0379982697353196,1.0243388383840413,0.9365630353119097,0.9093539457099494,0.7488263252603918,0.5901977666356335,0.6098510502823246,0.7304625745102646,0.6549130414775842,0.6388391160915372,0.7319244260880644,0.6983656498422185,0.6726059474408395,0.7032546232492869,0.7461832067350135,0.7816919301171955,0.8615706893989888,0.9230034749522907,0.9220676829217049,0.8663665468435185,1.0932280435279766,0.8711979633514879,0.8009853267416608,0.7855311794559566,0.8037106160810153,1.2326904900525502,1.046643888655949,1.5682777451513839,0.9114190681296916,0.8298713610753713,0.9968568417180169,0.9868251842491259,1.0799860403300943,0.8869184224539536,1.0254041433516232,1.0955864589480664,1.2269629834440492,0.9892879576101862,1.2832063188912497,1.4397528343408343,1.240562148746124,1.5220905660312056,0.9728181782458484,0.9145548602876699,0.8390637941468209,0.8003227674598905,0.8335571103970284,0.8038570514432285,0.739238324657877,0.6906711758458819,0.688201569181753,0.7491287072450777,0.7114510934376171,0.6671107548440103,0.7591270499219162,0.8977721859090423,0.7439639347020075,0.7504846529649228,0.8843365036952751,1.093643013917258,0.8492634225811782,0.8458537897464408,0.7481026101008067,0.7198655912649601,0.6785011186442969,0.6594806542136952,0.7558606648008108,0.6927539562295266,0.7354689579357747,0.7581842870265622,0.7605156908545524,0.7996321204334667,0.8971684557265702,0.9973402199551298,0.9146155617032505,1.038233368206855,1.0948559256948693,1.4956026543374241,1.2080766582308555,1.057537984074532,1.3687230411968825,1.3271613199891006,1.1978522896626735,0.9806252388869525,0.8299938921529566,0.7287406089331608,0.9160471077995389,0.9900169695526471,1.1600845651695018,1.15261723679076,0.9861740849954304,0.8476396588299513,0.8055259358758251,0.6686535893181064,0.5469194856712188,0.5941376215522358,0.6741477336649843,0.9341346552119487,0.7550984743252448,0.6248119434142547,0.6959853353638363,0.8375361305080841,0.5884949497737691,1.0292145988074806,0.9331598789402008,1.8112004952132243,1.4469920310981614,2.648678375468972],[0.5186302241598888,0.5287940765371825,0.42940076707237684,0.3867395968102311,0.5173646851560632,0.40135131888779346,0.386276093026387,0.4119558149389556,0.43302232060317114,0.38078041581803995,0.3807105630908175,0.46018447883907976,0.3955249926814453,0.38298074828207623,0.4019932995387011,0.4104919059650106,0.49985849208258404,0.506371391621667,0.616343046136045,0.598831672455943,0.6993761781489448,0.7683328939276699,0.8511237645156674,1.193175083293627,0.9466643374322568,0.8414497207896644,0.6812485112032408,0.5746203966480719,0.4996010251102022,0.4302712199309136,0.42659345274272975,0.44545326048224,0.4591012446396242,0.465391338986607,0.44180884053645714,0.47294968076057015,0.4868855641677383,0.5620647341798873,0.580995018173315,0.6659067801270795,0.9117051961479349,0.6852389398876272,0.7467243463769628,0.8605162867173569,1.1432191403188667,1.6443056966035159,2.0059221599181467,1.152619634774349,1.5995470488996824,2.2813049629159976,1.3613113454154948,1.2917652422301067,0.9685502965126166,0.9206296385703746,0.9051685121991898,0.8028087147933831,0.8706273732717174,0.7513816863156627,0.8077497905939995,1.4171734729123584,0.8833510752780923,0.7367563383336337,0.6293259655071378,0.7571577516640102,0.7220606093921131,0.6756844993342649,0.7200026830106487,0.5563125373626036,0.6804472964375874,0.6487684950539483,0.742848668581069,1.063190589703484,0.7562968045763452,0.8318730490766676,0.5445822668734023,1.017722011769835,0.5634768456891774,0.5068797024455637,0.503820121629198,0.6160204089573815,0.5332697061729531,0.5830894909397742,0.9853758920832876,0.7566046160329427,0.8320988529252434,0.5667203252533887,0.5655806389050615,0.5923607624357891,0.5153459759879381,0.5628489218901742,0.49361273529020677,0.6536133554187334,0.5306545167994816,0.4449642007537779,0.42591336067161256,0.5485736735428108,0.5869924801342314,0.4802658252285366,0.47302633551920537,0.7098419317072581,0.49572950532368243,0.5592821333689068,0.45321641041742283,0.5051695109280605,0.6613758755702752,0.5566850727583814,0.6322594279336152,0.638754970870402,0.5718333931523267,0.5539576993836873,0.47029438040484417,0.4591324186009235,0.40264640225439946,0.4945795826584769,0.4348447025146133,0.54837010861611,0.6112008542503171,0.651238471441294,0.7310039280046611,0.5892163098151069,0.5934789503330646,0.5363969738965743,0.6116536711853451,0.49548973060420676,0.4372869568892663,0.5733444097938183,0.5377854355354684,0.5676965208173717,0.6388883263380671,0.6806608201129957,0.8543747274995247,0.8746021343747792,0.9228786407876186,0.7646109880302693,0.9144666878522323,0.9928905158560357,0.9952297245204935,0.8933652666651176,0.7626243289962449,0.765123292910554,0.8894538925945998,0.9866176215433571,0.734259446414187,0.6608340338187406,0.6483742982608449,0.5523776439384702,0.5473630426783043,0.5178061636425316,0.435775700532484,0.4294142677776369,0.43596579858876827,0.583917379994366,0.9774468259472058,1.5339297968711185,1.1846702642480422,0.6160753954655164,0.4440952055374359,0.4222011161391099,0.41066508743200913,0.49621224513975626,0.5659808671020662,0.5593336845716397,0.6685548137549199,0.6583679250140116,0.788275845758529,0.9584025817797507,1.0274539500970568,1.3447704932874094,1.3410814720271977,1.2417851227536143,0.9873945058379173,0.8274007668808046,0.7793849283587331,0.6818866341615939,0.5876605757077393,0.5094609922698223,0.5209505300927971,0.6329729149082901,0.5646504819827818,0.5682950855899827,0.8315676351743564,0.6006198748086177,0.7486750253211567,0.8786867087033707,0.8825648589490035,0.8838682272007263,0.8040715284449971,1.1262621401635036,2.0067367220677337,1.4686168707610319,1.706494023642016,1.2948111911273887,1.4796716257889464,1.426552209089028,1.1740492359494334,1.056803638356181,1.0226999946945192,0.9977274598719801,0.9051478032398242,0.8518665936539669,0.6837431167312898,0.5132338316898607,0.5389945667941868,0.6806974517704955,0.6016446011355815,0.5719606195221949,0.6877946518085564,0.6552824785018019,0.632074962172972,0.6375322831839305,0.6992512549155985,0.7667093556150731,0.8395909556346778,0.8676383061955304,0.9273604080231678,0.8775451992650112,1.1102299272798983,0.9390853184737233,0.8184094007821953,0.8101035222332584,0.8342263234212843,1.2770521217814435,1.1201498663965905,1.5620729459723492,0.8722006624984643,0.801343178453591,0.9697908443444646,0.9485876210980634,1.0787931170911684,0.8372304782342255,0.9965151156515663,1.0769205881491293,1.2188730855472723,0.9726240498680605,1.2522026896849987,1.4731881265578388,1.245162802568272,1.509918402622141,0.9530013521157676,0.8654894419827286,0.7840163937579868,0.739030795157645,0.7652653620630637,0.7366507931260962,0.6700956544214155,0.6133556583233016,0.6134339360833799,0.7245004823471733,0.6547067836760465,0.6169089386810781,0.7755367533085183,0.9386717421032911,0.7311928369013512,0.7480141150344392,0.9232194735725645,1.0828620265401145,0.8528691644936641,0.8683431752851851,0.7457748078322998,0.6982936961274581,0.6379921004378081,0.6250326085676741,0.7443670105543941,0.6552156295761926,0.6870441896998501,0.7457120568296299,0.7568713445847592,0.7786567074174061,0.8920629529009817,1.0367462332220183,0.9416434761568985,1.0567509864075821,1.129088715565564,1.5288624012198664,1.2422635151070902,1.1135566366478622,1.426101350616258,1.4187961887086273,1.3777645696251166,1.0720939119011268,0.8568584098419834,0.7053185318058229,0.9583551818034747,1.0491251611059254,1.2405052787288775,1.1843207491532755,0.9717145417595884,0.8098818808072749,0.7649453895997953,0.6385395178982011,0.48556547949485385,0.5295209754085489,0.6102921954988986,0.9288163581376643,0.6748281723607825,0.5307683556440689,0.5835632722481856,0.704864794812963,0.4750019934121828,0.9150668434627307,0.8733271147968217,1.8302535993437545,1.6865118821934362,2.8798268610066278],[0.6019210236722514,0.5545851915233013,0.46834498706694094,0.41665106003243535,0.5135320575928457,0.42904831102431334,0.4660140321839972,0.4902927637186042,0.4630778498141414,0.404170493231336,0.40851198225062085,0.49625122377680686,0.4348075971154246,0.4004362782941598,0.42288175970778336,0.4180624127466223,0.4591957156572002,0.4536924501314364,0.5547335134960204,0.5378228404340968,0.6237745134066287,0.7167979823539624,0.8294616897295898,1.0801729058669711,0.9106788194466933,0.7546613069185607,0.6065744942165272,0.5102761667186213,0.4592957740645447,0.4259768711618719,0.41990076152964234,0.4593608797960126,0.4676252095973425,0.4708266632012816,0.439982532858498,0.45367541797808275,0.49383952289876626,0.5427465437138399,0.5286925499204304,0.6349318747985587,0.8322488451640853,0.6351137842504792,0.7002542710980421,0.8062963716541078,1.0827512076088084,1.5569888931316056,1.9600511988586962,1.157903524800147,1.4983996286694357,2.2689706956312814,1.3325384396894755,1.3403436896300243,0.9641321921364904,0.8538786562440888,0.8884326185391184,0.7856687900902025,0.8751762320885202,0.718939615023749,0.7765558301476817,1.3974165014892963,0.8418055093444297,0.7081263057536136,0.5967800165150479,0.678655854751553,0.6694062270833275,0.624573305746251,0.6389654711970834,0.5057235986697591,0.6429248236710694,0.6421153044641559,0.7262236966872937,1.0500193600658625,0.7447875826426054,0.8153026071097028,0.511320166532222,0.9908431620532766,0.5222123142345192,0.47955536264789644,0.47744569428953537,0.5915723878652098,0.5240456881979467,0.56174420701286,0.9186944920055757,0.7848693351931041,0.8184887719720717,0.5569938660242035,0.5536630588121025,0.603733040636139,0.48962506015250407,0.5548154649570353,0.4741759925733169,0.6660139836089405,0.539211793585914,0.43656618607534886,0.4262091679438559,0.5344283727645135,0.5962650066694087,0.48479198580329885,0.4920234771127058,0.6972416748959551,0.513280888555621,0.6152895966271279,0.5167604196223688,0.5632780003763279,0.7541370403052229,0.6327621907140005,0.7259186755478823,0.7191621385590568,0.6606153792703267,0.6541244918209199,0.585692375396923,0.5290464894838186,0.4485134194653595,0.4955946523580971,0.4377329151718637,0.48526513669096033,0.5723250686758468,0.5432961505991426,0.6337113863488997,0.5010138090785583,0.5089130562265863,0.48515839086003903,0.5265454747683899,0.4436032372007813,0.4182467081906176,0.5480452627679309,0.6047662782010006,0.622829359645561,0.7211865475425662,0.7392153787530654,0.9210690096339987,0.9718067177343575,0.9725932609431883,0.833446139646171,0.9229692813668401,0.9831980358136141,0.9840112004323863,0.836654221323206,0.6580078604846015,0.6583749206357035,0.7145434807960765,0.8674253377734867,0.6073300197999081,0.5643915889517028,0.5810374822015477,0.5166478668788851,0.5085238167074861,0.5113313151104357,0.464316978620355,0.46857469532476925,0.4953210242237213,0.6005086717519653,0.960910203807597,1.400252631577379,1.1067694551185783,0.6454625850938038,0.5024531039086542,0.4915789586377435,0.4679130182519817,0.5528204881964013,0.5684325684632371,0.5521361328633556,0.6181655993359643,0.6322578257295615,0.7770942818951156,0.8934044841429485,1.0073640832216635,1.3278497134026437,1.330803894450638,1.221057627660099,0.9618197559907548,0.7716538459697144,0.7598396064637148,0.6884361427996346,0.606427299518342,0.5389882500052844,0.5380740162618248,0.6494679523451846,0.5863152173567885,0.6276856390789833,0.8953426480541747,0.6495902654041611,0.8045899788611357,0.9350669113263864,0.9022181897979397,0.8900829104129169,0.7818711660286761,1.058906938220967,2.0621729874237653,1.4274012367920503,1.6964239424733545,1.2672296808620769,1.4601680192167623,1.4173311761086806,1.2095529222573593,1.127535226375097,1.081738439336831,1.0954160253435898,1.0065049239442054,0.9609712917357977,0.8060075882313315,0.6273231492190718,0.652083372162939,0.774730842968009,0.6959596530707396,0.6607221689308198,0.7455230105543633,0.7338421372941282,0.7050437054078531,0.7168737509949258,0.7774896169420938,0.8525258207993203,0.9395394655590877,0.9923918772038751,1.0274201396663853,0.9457181699179474,1.1661761472551104,0.9737761782770372,0.8923307306536395,0.8801483133184035,0.9233228868522764,1.293246548937903,1.2195276790921823,1.576492579182121,0.9754982780242034,0.9117214752001755,1.062896469126868,1.0691037749548955,1.2285335611018686,0.9867457371310022,1.1107189827739932,1.2320797012950278,1.3235024672478426,1.118702398801884,1.3796194996420834,1.642801269032194,1.3754715362542063,1.5726897650021043,1.0676093821294845,0.9923169647882517,0.8900404649033857,0.8173448347860289,0.8117919951909593,0.8013821089872171,0.7231470850595569,0.6942257928239832,0.6840367637175374,0.7346673655362495,0.7106688637223729,0.6990344037045824,0.7964905661746922,0.9442117432296652,0.7849923779411766,0.7977239339937573,0.9400088151944698,1.1119795004116861,0.9144045821716781,0.9240944237706745,0.8096178774008874,0.7714673390422331,0.7311096775980901,0.7293795920626285,0.8329324489649339,0.7521822835354472,0.8013525459329567,0.8545139141084175,0.8531753585449575,0.8890274834539797,1.0017519971910047,1.146413662162217,1.034765925674821,1.1635292544128646,1.2435677188594578,1.5935662321407436,1.328345383033922,1.1879980008955304,1.4976225887160892,1.4654816277360874,1.3618466933834703,1.0943891490628521,0.8886265851364126,0.7633288807310384,0.9421064118913194,1.1050281718605879,1.3408714295987925,1.2769135592591092,1.056811708443372,0.8843391729412305,0.8533902888650524,0.6922118839586898,0.5948768710408558,0.6420848020953692,0.641530588298828,0.8676989219486831,0.7596164745718049,0.5772558042206334,0.546660533010607,0.6938315065216751,0.4101926681151787,0.9768848309050803,0.8975003996865113,1.4035844221219842,1.5054730095347442,3.50852631023894],[0.5266477918485564,0.47459409683986126,0.44749075804202876,0.404796395315066,0.5114186760502626,0.4184669158646364,0.45346395962771213,0.4662340513839471,0.4525618145250757,0.43085466687545965,0.41649477369720045,0.4718398617639501,0.4568701390127194,0.45016445143242495,0.4616733729049913,0.4685584181108059,0.568539643288779,0.583577804470985,0.71921861463491,0.7247677135208067,0.8203273953599166,0.9117501507928284,0.9799705232169967,1.3460970069051208,1.0890709896883894,0.96930767752301,0.8261998117297852,0.6972432489929433,0.5963736240910613,0.5115683182338356,0.4944452972985055,0.4976801803316169,0.48659029999638453,0.5207028118828984,0.5141005623492185,0.5661706289278573,0.5710738016933119,0.6836458383639047,0.7065903312721656,0.8110982742693263,1.0154548036561843,0.8390311992739438,0.9072283376862584,1.0325730422982722,1.2933297772859225,1.7048742784421547,2.1381990961633592,1.3789156932685849,1.6567680214346838,2.347676402425304,1.4850154427731024,1.4047381776068169,1.0888448203514767,1.050109133128763,1.0137564699251538,0.9858544720225836,1.0657890806913466,0.9119003400253562,0.9699981387598046,1.5592988779830492,1.0229350118788947,0.8522364092319794,0.7348621873737853,0.8850946367616467,0.8622058350885754,0.77731245564131,0.8286157107362936,0.6474741116153628,0.7523334435944431,0.7118171584006145,0.7850608087838925,1.1018899142245426,0.812359575499518,0.8807402824558443,0.6158135760139491,1.0242774987622785,0.6420576018624956,0.5738989299549249,0.601112327443987,0.7383582494001169,0.6511529997203128,0.7054067291264211,0.9973906883301448,0.9138807963584993,0.9568555912046409,0.6890343918600333,0.6980321245884296,0.6680083866885103,0.6276751353033639,0.6297739147183029,0.5672308750066395,0.6923476766825362,0.5752500398052096,0.4791590703277374,0.465334728776395,0.5582057695822127,0.6138317653547071,0.4895906634509729,0.49058341975245073,0.6849817402681209,0.5099612201337148,0.601888627273198,0.5294624236257214,0.5709688017350962,0.7898468723153956,0.642925300305259,0.7226104915765181,0.7406968233570435,0.6590877691414431,0.6364476754644728,0.5702128420840755,0.5501488661632338,0.4684931716246532,0.5733533030914594,0.5014779905478244,0.6342034723368135,0.7211969863292209,0.765412153099274,0.82517217906167,0.6642434041232187,0.6680660927371562,0.6231625615750122,0.6983813844907943,0.5675124170483541,0.4968022354062908,0.6337454957038227,0.6073429476445212,0.6582317402917287,0.7461825911641367,0.7833953832767605,0.9729222554573863,1.0175921018138652,1.0640670095427578,0.8992714901335083,1.0211731745154213,1.0865323067426478,1.0832547655732543,1.0085095327255211,0.8673005996597419,0.859999249744348,0.9700002550889433,1.0966518412145063,0.8465254477923119,0.7832167681067131,0.7810867643746733,0.656663204840862,0.645743884014273,0.5990936463284869,0.5125412849533398,0.4753270633097394,0.48993293095619117,0.592380550717253,0.9701589003223277,1.4671465410858724,1.1323928986179532,0.6300314806142077,0.4781920487096788,0.48350170926825586,0.48439212887048394,0.572917098137241,0.6599457156050397,0.6712267962167187,0.7866856733283001,0.7979517002054511,0.9404067723674718,1.05883398983703,1.1834897864292777,1.5214788745940477,1.4946711200679503,1.373470215264871,1.1147088575050286,0.9491887348525945,0.9032636050334232,0.8146876380661358,0.7112686321409852,0.6081002700885196,0.6106050659108653,0.6878818800348747,0.6853614046204884,0.6889536820389857,0.9930378785962881,0.7194778678194839,0.8934394000677088,1.037901231748764,1.0263952539617267,1.0352649646931633,0.9522412749355464,1.230500722565054,2.121067436233617,1.6483808606462143,1.9242505229868139,1.4445595988070836,1.6311440013972922,1.5563956759947342,1.3318363255142915,1.228132504593224,1.1593073189761058,1.1391634636462606,1.0125233742190236,0.9510401536738149,0.7762597716125046,0.6060739535809817,0.6256395049673387,0.7403392136171726,0.6807750350321051,0.6609081744169539,0.7198719008393655,0.7374519027166917,0.778722647266994,0.7876552840752221,0.8553185406496533,0.9966753523288278,1.0955759919353958,1.118999188387265,1.210664875270264,1.032326613577613,1.311178538944023,1.017639411736659,0.9217238354897999,0.9600333816256176,0.9814904578765506,1.380474121587969,1.2714990954682417,1.5022524185211463,0.9785330034083409,0.9106384703788908,1.0546673348637634,1.05035597549631,1.243246505341011,0.9718269905569877,1.0910578741861465,1.2427621055050584,1.3078829415424458,1.1205071917669147,1.4032789486221902,1.6922365280714933,1.3841716547546625,1.586841157297468,1.0576503711298906,0.9833902554713516,0.8751598736750944,0.7815591662787443,0.7736418339033369,0.8068891363313621,0.700474217628294,0.6649355240665908,0.6936586766874251,0.7628698095272647,0.7067676232558264,0.7229183110373322,0.8894786543685952,1.0443806116067655,0.8802528360468366,0.9260409962243115,1.1054079250786346,1.232387530537364,1.0847774362337257,1.1081931389493143,0.9411365123528296,0.8555518911486101,0.769870155995256,0.7515335367925607,0.8905176644659102,0.7736790254278476,0.7830100318636636,0.8554940420253592,0.8556564388299928,0.859912666701812,0.9860122926845681,1.1421675425759035,1.0030178657639606,1.158154434005681,1.2645069740820385,1.5604355250522401,1.3275756496365487,1.1606343867241888,1.5018768155377682,1.4698543932383334,1.3850216356709657,1.0532814836596964,0.8585556769150294,0.7730179968156257,0.8676780317800264,1.0233551705874868,1.2840478535256474,1.227556694534976,1.009437157590889,0.8624060388451789,0.8449970104060652,0.6879184253725147,0.5754438341884828,0.6018952393588519,0.6022324334259173,0.867779658746797,0.7090849534058151,0.5676663912140287,0.5252421726317797,0.6541963695279224,0.38338629258800805,0.9462020400539131,0.9989853272924684,1.334507740909127,1.5648885307392961,3.633152605621789],[0.4801188826163282,0.4278419601051034,0.48983936648840837,0.3756440681607506,0.43639675147517487,0.44734569960927545,0.4477481719993209,0.5073593498330929,0.4697164406110853,0.3545030107093442,0.38018080231047696,0.5003821135803197,0.3812107490928754,0.3585811785709863,0.3994645285636008,0.3795093985122266,0.43099737496208995,0.4329948427962649,0.5410487392801933,0.5113820631113258,0.6369227325388698,0.7250504833572796,0.8020203843363298,1.1422072857214849,0.8983819568399597,0.7727505171233751,0.584707982115655,0.4798386359629246,0.4139365243875503,0.3710942359897182,0.3723519534698492,0.42923700628017164,0.4643068572087079,0.4307268561742506,0.3902205251576655,0.3973601062699173,0.4215415399895893,0.4873991936604352,0.48343273790989727,0.562518709082456,0.7983476158176921,0.595424032286216,0.6567546382231593,0.7832566738713473,1.093210646700311,1.5669704350107325,1.9616038241451366,1.124059636853881,1.496133963627515,2.26071400706457,1.2897416055413735,1.2939498878017353,0.8969316069919906,0.797706416436969,0.8345458044836082,0.7124451927592163,0.8169185030144354,0.6575461757573599,0.7309124896899764,1.3630652249776636,0.8070679918033973,0.6676790076795484,0.5421273958053933,0.6678396778552085,0.6500301761397018,0.5964937822459181,0.658314977165912,0.472939915412973,0.6367568417434611,0.6193752482634948,0.711451869074849,1.0685695409645621,0.7242032330183785,0.793988740841564,0.4908040418650788,0.9747952267375254,0.48350125691671364,0.44582634102033836,0.4217274741917176,0.5365209649546188,0.4619548045051483,0.4961044622693186,0.9337489970402008,0.6577035332415899,0.710943913609067,0.4762302215462179,0.48738960820765337,0.535392962601628,0.43016538753400707,0.5064712308227257,0.4332892863130442,0.6435564530328127,0.4943186499520731,0.4219399413618825,0.4076064421746837,0.5266917571281535,0.5487485730905051,0.5055659572928517,0.5138782292125554,0.7839000843280376,0.5368757186351644,0.6563620258163927,0.46818472945538975,0.5626732079460011,0.6837333634902769,0.6108081232516781,0.6646246233662367,0.5981817739820736,0.565374110080124,0.6002673764369427,0.5466220514377474,0.47932843305057826,0.3998448740477629,0.4178958019176974,0.38475646168122446,0.4524505644903053,0.5390527968064226,0.5679756263509651,0.6597776918085375,0.5121855155885384,0.5228104886961755,0.45812973330046886,0.532831081371707,0.41063779026498853,0.37914067102452687,0.4767425750160475,0.5190209384020655,0.512521752480225,0.593770381070861,0.5978104657668261,0.7540117798472185,0.7993219474649534,0.8083628429757034,0.687970162534496,0.7813715027524906,0.8561044742262633,0.8632252720835666,0.7585237493880246,0.6398067413119749,0.6431641957602954,0.7931469767125314,0.9309750508488467,0.6533013675565733,0.5701200138714513,0.5563501378522948,0.4637219913718949,0.454973543093048,0.4279814592919367,0.3917027061863586,0.4363825153179542,0.5250462371688229,0.6670797384645026,1.10652578856025,1.584975326398477,1.179883045588527,0.7201321968874176,0.5187933225579123,0.5231845317545849,0.42639726560234503,0.49649634187817127,0.47499161287925723,0.4562735584291252,0.5581162605042372,0.5550971669307969,0.6916298061898339,0.8613512307936936,0.9282328555087268,1.277281398374396,1.2584353296351292,1.159515449251817,0.8699829004127894,0.6978400651454738,0.6680815662589573,0.5767804846955699,0.49149200807033955,0.47975755449526625,0.5023016525616171,0.6493252373136212,0.49355039324568845,0.5472557932212445,0.7743373948953013,0.5311231296269507,0.6647908856436883,0.7957751806088678,0.7851578127010886,0.7982119045198353,0.7070571087826687,1.0054479893421728,2.0480087404462943,1.3660301066849614,1.6208975382025408,1.170682700522972,1.3370437365246703,1.291617654505662,1.0692047339038582,0.9786338384579832,0.9203112700077243,0.9116758244325537,0.8344368317783457,0.7847568679481965,0.6652837930975841,0.5940724890568484,0.5636695605415167,0.673018163659664,0.6897698205086975,0.7212090383020853,0.7082759325643736,0.7489679035985329,0.9012534946707378,0.8768710694342371,0.9047782347439938,1.0764045894148324,1.226337513388587,1.1580071338187912,1.2256454713950136,1.0114655142653086,1.3433637385339767,1.0151488815801646,0.9285961215863383,0.9727889438622659,0.9742917336371051,1.4319795860113083,1.270115350187183,1.5003530398305776,0.9558410819256629,0.9194238006447064,1.0984768916092198,1.023298796535676,1.2062149259907353,0.891666651639901,1.0509324985321038,1.0732024460751988,1.1942961483989762,0.9974200854306722,1.2382087910473132,1.5578509916339185,1.2479419426949734,1.4591192997256852,0.9291453039778172,0.8043767643606136,0.7104017271277111,0.7286427332591825,0.7596853986378281,0.9301904783903108,0.7829960663278133,0.7076033018807514,0.8318731097198304,0.9596025677625566,0.8511841784471058,0.8608599975520934,1.1015156680971456,1.267103840780961,1.059380461636107,1.1054938460177093,1.314421631441369,1.4030149432273666,1.2444244898662788,1.2668904935340517,1.0754411027473414,0.9794915142438431,0.8729515050121377,0.8119325177201874,0.962537966571366,0.8064347313326986,0.7663941932729466,0.8432638868245503,0.8491586274072593,0.8025448095275309,0.9167143494492035,1.1233927763948164,0.9647812522846209,1.086885519407675,1.2002064547838283,1.5522176048217393,1.2886973042424472,1.154537381100089,1.4803530760549861,1.501427483368433,1.522105492455131,1.0983503083791155,0.8621874667344415,0.7657263551269398,0.9229918678445728,1.056177416472415,1.3119250400438112,1.1902794578279283,0.9353593451978278,0.7464751355589807,0.6952993599038703,0.5596857001531036,0.5498645044211661,0.5821023571684989,0.6227592515616124,0.9416899432411439,0.6541519179354404,0.6452712130998598,0.6057588925096472,0.6245999809425707,0.4242464110710832,0.9820732768351309,1.2714002311776846,1.178068799353461,1.6678175654306278,3.88145071304603],[0.4123531902888009,0.3974401515567184,0.3933095697047075,0.3931198691140196,0.505981166739868,0.442618403489821,0.46760122625375283,0.507780514429419,0.5012470282370153,0.454673368715851,0.45871779753514164,0.5304036889040162,0.46153080091564563,0.46535812318516695,0.4855670419852122,0.49489460793895024,0.5575709907246437,0.5843116475813979,0.7181088382468033,0.6746962561793747,0.7654828023965526,0.8250857295771885,0.9243650997735309,1.3073653846396278,1.031590624062804,0.9309226292715825,0.7590672309824248,0.6448262443224188,0.5560604966716681,0.4940519985240473,0.4875976644568397,0.5291933605703952,0.5230001454231581,0.5246978852309175,0.5048111582083572,0.5384550636800195,0.5424096688213069,0.6371844756026159,0.6404383581387075,0.7151442815120925,0.9732908896050319,0.7482669631403638,0.806828000228409,0.9170931980032615,1.2181143932577991,1.7383724912294436,2.116532353330391,1.2511478957753468,1.678721388714152,2.358820275886321,1.452229086192208,1.358345744953879,1.032754375852099,0.9829041472838137,0.9919736172702431,0.8540453938060409,0.9161389826776684,0.7957847999788643,0.8616097433717094,1.4434496775337793,0.9362297122813343,0.7916228555790042,0.6650759272788024,0.8368930938371243,0.7952594038995435,0.7344758119641384,0.7986054236192893,0.642173734737438,0.7882404605903145,0.7201996749695172,0.8078292625384372,1.137027202206375,0.8269323905289347,0.9189143008616454,0.6321649809442931,1.0743935913518199,0.6352054801574369,0.5640893928533658,0.5705451505793955,0.6504886419307453,0.5967485565040117,0.6452063268354424,0.9845140047065438,0.7585243483286512,0.840448491784893,0.6026555341464667,0.6263030906187832,0.6399871353743023,0.5732172072798687,0.6280498060665031,0.5706687168352562,0.6918587328047513,0.5874778501095322,0.5166823434536754,0.5054463315820629,0.6025489599175197,0.6109884135175689,0.5661279958236489,0.5594994503368832,0.8142710913400342,0.5654531972534592,0.670584901249846,0.496680030103791,0.5662706414158356,0.6811996138754804,0.5773221076712005,0.649551032985413,0.5959224963278194,0.5596330658103267,0.5767176474093014,0.4969623686278452,0.48129726409869866,0.45576479078894705,0.516361862597501,0.4914881028136297,0.6125534015298513,0.6764847572811796,0.7376286946017157,0.828949725238271,0.6905722014873859,0.6924422094304287,0.6227619864076765,0.6847762380134621,0.5588232292418733,0.4887160088855756,0.5761243615491893,0.5524772800760915,0.5548811984462787,0.6258944215172765,0.6595490782038621,0.8025569040271369,0.8239383248354748,0.8783294248003596,0.7426395119158242,0.8800119701624013,0.9664587329827319,0.9666163009962755,0.9013392192525379,0.7746566998989519,0.7784892052988311,0.9448062345880189,1.040010711005616,0.8002831105909666,0.7159068858182194,0.7016205521852154,0.6002120876772467,0.5904389857319631,0.5472989766047912,0.4771263241476534,0.49079494831960385,0.5578176472318884,0.6948158667037504,1.1442886872321145,1.6990349852006192,1.270770113017711,0.7416509512331463,0.5532786458755152,0.5323644060239101,0.47585796818271375,0.5399630307006058,0.5784280072262595,0.5996580240152184,0.6961969809537208,0.6945234313773339,0.809925792881921,0.9768689395065615,1.0376048577809671,1.3804985871740383,1.352075603905806,1.2573678971820563,0.97936548149838,0.8465727305785218,0.7820462183080874,0.6935567843299837,0.5956532470896181,0.5312847001311537,0.5504785885768467,0.647985399668853,0.5820623276931495,0.5842589587573093,0.833335779499545,0.5909209847714886,0.7278551010370219,0.8486749828705384,0.8701442722473652,0.8942908826651842,0.8502227242098402,1.1649332210563903,2.0797385558610437,1.5123129937289028,1.742386633150035,1.2988188335424722,1.4616803982203936,1.3937710453049503,1.131606553434495,1.0157545809708128,0.9656709070002332,0.9318723049056918,0.8302665969221689,0.7750421523696368,0.6123711415290551,0.514676374625847,0.509853450754736,0.6215775613682103,0.5957358164724212,0.6092785532080218,0.6525406173904705,0.6571844065355993,0.7625774582930847,0.7344149657331355,0.7767850441981174,0.925772463665533,1.0488500053547463,0.9885845203388419,1.0658738782454102,0.9092296974991889,1.2306111880542736,0.9581775685983814,0.8501572722344356,0.8717374812274262,0.8826739221671575,1.3766014293206308,1.1664070269045623,1.458900001777215,0.875020339075737,0.8227829173329434,0.9922087124318941,0.9308792225427595,1.098688398675585,0.7969508820313224,0.9814911224786695,1.0161797696528305,1.164230421684847,0.9286006197125378,1.2045018655392565,1.4906290186944118,1.2182384115757205,1.467003771921012,0.8908612483924067,0.7859296758439533,0.6973081753516818,0.6840130393084772,0.7179572884553929,0.8234627721524226,0.7118267653808226,0.622637918606524,0.7174587376292003,0.874656700879735,0.7604334371612962,0.7394948631861646,0.9929997518043154,1.1698695447501533,0.9296781903993921,0.9705057364407083,1.190529911562006,1.2736422251309822,1.0985490465676375,1.125909768042147,0.9416764713013221,0.8509296719796788,0.7481069512059675,0.6983896112164637,0.8468209279851302,0.6958565630868269,0.6661642018935907,0.7513196021861513,0.7647891129967245,0.7325801549260944,0.8530451847229065,1.054519263816158,0.9171556991762297,1.0472662377339295,1.1503457578889,1.5358559093521644,1.252475145658029,1.11907594027833,1.445006930127791,1.4603110602793912,1.492704612431938,1.0727147854116303,0.8323268461252049,0.6967506113178327,0.9239951501206285,1.0431184378333478,1.269386060828068,1.181244341684039,0.9177267023958937,0.7457866347122,0.6959098074688561,0.5922451335063093,0.49187050391653636,0.5139475863704472,0.5450993941234636,0.9745228747146214,0.5887582265140237,0.5271077156873165,0.4937953667004575,0.621970401653636,0.36497802266554497,0.795086729378787,0.9953295645578337,1.4811115411844058,1.7009299141146108,3.2596553158893853],[0.4236560624215736,0.3737000887524997,0.40263089449749134,0.33467871814061795,0.4113286120461018,0.4325551381896254,0.448847458051561,0.5121472102469061,0.4926435304358721,0.39781130407423965,0.4295385290577926,0.5164201113388556,0.4291029588024266,0.42231658762947083,0.46280864332216287,0.43267806108516355,0.4864573167330074,0.4685852340973988,0.5285412543544151,0.5028292123302466,0.6372697707953685,0.7084007150234946,0.735430354726611,1.0550542444260598,0.8127017447631875,0.7265351798123839,0.5407482278025375,0.4581634429780356,0.43592742597196144,0.4221009599387393,0.44302473379780916,0.4757500127393122,0.5227281344178791,0.4762013269249167,0.43301817167872453,0.43014284258935703,0.4515174871502887,0.4828962931310325,0.4548308530697247,0.5010125700626857,0.7416661161840661,0.5648452785789284,0.603017763425597,0.7177779145497375,1.020040671665173,1.5058239642502955,1.833667726732982,0.9831862922371247,1.4400587553861155,2.209458115885821,1.1795666914483793,1.2416876599147995,0.8671433352599088,0.7120517532049775,0.8258125557767514,0.6305053494098992,0.7342078137450829,0.6257404931596773,0.699143531883133,1.2814094893444878,0.7659952185755111,0.6540944674289285,0.5208986965707252,0.6050178067415874,0.6247922853005959,0.5944357428658652,0.6489449705476407,0.502321653088349,0.6652526038233576,0.6688235189154728,0.7645499606370468,1.1207264224689093,0.7811491261401547,0.8276843797562203,0.5439199733663831,0.9931144419265246,0.5107682428308834,0.49958807225509566,0.4511416942957355,0.552078928522264,0.4612249758163896,0.4774916390834642,0.9616423576155294,0.5943786590447815,0.6636215270853248,0.4669136967284638,0.48009862909906736,0.5613996365477126,0.4646062759781909,0.5343242606129929,0.4626844269444226,0.6847555620859559,0.5404604717789218,0.47910358576370426,0.46313931129143077,0.5614560460511724,0.5684932035052394,0.5454117262599664,0.5527291361521663,0.8070136472158678,0.565298469954775,0.6942031854994323,0.481950586524897,0.5793939955735522,0.6502238534283983,0.5986694398297594,0.6488734505639155,0.5449730920840039,0.5259738175776071,0.5809108905415071,0.5172346503505602,0.47032801448576267,0.4093499215184054,0.42552542671383864,0.4303421973528099,0.45849834531538153,0.5213162746819969,0.5585263628994306,0.629572968125793,0.5363758309741963,0.5356920672489697,0.480137855614617,0.5653320029888929,0.4484122719237774,0.41190012324393593,0.4789271024304424,0.4927965421322082,0.48048286487263864,0.5390534660992974,0.5461776223732936,0.664956478772344,0.7003089871308916,0.7094439496914356,0.6198216045235828,0.7106072528262435,0.8028539410620402,0.8119239847184885,0.6823826458585598,0.6043122861147059,0.6138427964693752,0.778175529344227,0.8924627422858876,0.6191578867536975,0.5430779822439553,0.5230978461830191,0.45496263129458875,0.4455719319076125,0.4431565951774396,0.4140485318715254,0.45886093334660194,0.5379611446313326,0.6747601011053509,1.1247950539259173,1.5851089468245059,1.1816289525610095,0.7357039455120103,0.5479627259850063,0.5507419216993712,0.4650049483801168,0.5147604170894993,0.4717318555542601,0.4432909746470069,0.5237528703957547,0.515200791142886,0.6196182106885254,0.8072203673422278,0.8276004003327875,1.1607665835055268,1.1533746372489677,1.0878695682024024,0.7859107657297243,0.6344906438965304,0.6181271427691253,0.5308397002065324,0.4687543766830985,0.4836092293417812,0.519056631900668,0.6808586626091675,0.48457658205331305,0.5554324107785918,0.7028126400777045,0.49276896406473625,0.594056757005973,0.7015640876569443,0.7037629243087082,0.7239612697665222,0.6331854005441274,0.9255526928849765,1.9906872533876312,1.228247010195396,1.446130537208868,1.0615441017000715,1.2290500064376906,1.2037248458615153,0.9529154033374578,0.8378638746881882,0.8059854802316345,0.7835155419215577,0.7317761528786598,0.6938447241014966,0.5720357526446941,0.5176331705975404,0.48938516563304607,0.5953020778631397,0.596532558808788,0.6326916819683196,0.6416908650867218,0.6491325318556044,0.7801814926198701,0.7509656188201127,0.7579530146657788,0.9022763877413238,1.0658562615097769,0.9826796272018965,1.0084344049327771,0.8637004684417251,1.183552174339559,0.9200941629398515,0.8130904092274045,0.8189206259523156,0.8302849743453601,1.3533228858805957,1.105516114295295,1.4478544978211367,0.8590522305607887,0.8211764042323015,1.0083125362605292,0.920666939602197,1.0688090440782703,0.7558724744557954,0.9642597026095241,0.9401619067072332,1.1229170327771232,0.8595962860407899,1.1108107510712852,1.4052461156121936,1.1368220273695404,1.3904684870535495,0.8346843795267633,0.7142830684092041,0.6185657876812597,0.6564431115669142,0.7074720828186617,0.8770406397805545,0.7527653579953767,0.648164087826119,0.7554412480958529,0.9259492170438597,0.812070327755615,0.7822928558972897,1.0278822257435374,1.2053744927678138,0.9663890556847765,0.9853662039636613,1.1944638902200653,1.2834495080251453,1.0898206983270622,1.0999138519979705,0.9243126724932108,0.8498615148452093,0.7662770652457817,0.7050229944501221,0.8284228485997696,0.6890600943031985,0.6597062881497114,0.7259842947720867,0.7375580700133936,0.7013547498451714,0.8118132519903595,1.0276031499032476,0.8989382670078226,1.0007999859321133,1.0946666605599003,1.5039760245307856,1.2159060049405643,1.1120289107060963,1.3930109892485085,1.4342457092049024,1.500360557212323,1.1024305137611268,0.831444418805696,0.6832705635529642,0.9942288537693962,1.0801118794438431,1.286582950154982,1.1638323754218467,0.8836132555192435,0.6867991948809472,0.6146293219844587,0.504359867206765,0.47718137141110745,0.5284352786319169,0.5625388199186089,0.9544664426671116,0.6051793947993487,0.5661105211544064,0.5327893291064951,0.6019517649665868,0.35686230777717953,0.884898248266035,1.0986921147735802,1.239887788301411,1.5048926113534866,3.4125019408234505],[0.45047178588371334,0.4482281381150443,0.4891936984593057,0.42739759278998246,0.5796741560828784,0.5023548565326494,0.4886343710676479,0.5126422674870581,0.49791500794986493,0.42219364120584163,0.4445222591140858,0.5297722293849493,0.4619431068324728,0.44330456628747106,0.48525925253361973,0.46450813479408654,0.526632297716688,0.5077705135563818,0.5350679972979301,0.5320839419182166,0.6782205764126541,0.7660436385306058,0.7011920546471883,1.0533561134501286,0.7808320176022799,0.73862822127054,0.5782683465369935,0.5016848171260527,0.4845495443966233,0.4717923626115248,0.47757388780814514,0.5074027939318931,0.5449817576958693,0.49790072036159827,0.4668196492791088,0.4737546886788273,0.4923170722804383,0.5085657922360507,0.5111183259850539,0.5711585265215695,0.8108173564171407,0.5904534998426082,0.633348067291262,0.7260292581160478,1.0404341556388288,1.493003567788608,1.729707224755917,0.9153260558384235,1.3720305187729205,2.0877226414144086,1.0852777411001149,1.2875485912787799,0.9135019128604527,0.7480536730888401,0.8249080864360326,0.6425610948698826,0.7439662180887668,0.6667936843567042,0.737455180983528,1.2689441825291854,0.8107063820752775,0.6614706585488075,0.521866678780994,0.6071402153924063,0.6407055820423105,0.6198517751120504,0.6450328333068122,0.5218290207714187,0.6766514450673571,0.6987527164023977,0.7916345251458745,1.1424688335143303,0.8015865493282108,0.8234283074699338,0.5728528241768854,1.0148316938805033,0.535717090253033,0.528804750786201,0.4730775470994465,0.5941383349847125,0.5130056524107107,0.5592103087048338,1.0374314654164483,0.6614949371731998,0.7146019804685074,0.5460563326809839,0.5363705337704627,0.5963278858213629,0.5132787966589376,0.5472116153216567,0.49084669634140526,0.7124089712401388,0.560688000901624,0.5014244918380124,0.4872040109307961,0.5749585654811163,0.5878277541927975,0.5667031286279349,0.5687482208452092,0.8016229208657775,0.5822412149975411,0.6865940362494464,0.5100430155385507,0.6065190314663121,0.7235231126282626,0.700455112718984,0.7508358459228789,0.6568142007636653,0.642664718860735,0.675743183937683,0.609367920885541,0.5714960593503211,0.47953148084833735,0.537297311832066,0.48715815588951866,0.5268000984188407,0.5782296693964066,0.6002927837582537,0.6278252875121917,0.5735986515615461,0.5449281784783109,0.5041943252216422,0.5991751854711214,0.5107117086267645,0.4864498406140499,0.6200054575128063,0.6252668126931027,0.630702886540185,0.6911904154883518,0.7005894707689995,0.8149403363920138,0.825198759381371,0.8487899904702041,0.7579475357501667,0.8670545902587542,0.948525615987907,0.9435379496808438,0.7802355987901853,0.7489147213935958,0.7418976736564811,0.879176494254566,0.9598841527898929,0.6737488397078474,0.6276039773735642,0.5970496734323619,0.5154356311858393,0.5193669134495096,0.5067036597059994,0.4934435585470032,0.49916725743116847,0.5438748787019531,0.6533915447236123,1.0844273223201588,1.5743410865894163,1.182806848174575,0.7136968496861072,0.5513002464747558,0.5580373120939153,0.5042552657241237,0.5692419757909467,0.5904222573871296,0.5124196777285631,0.6266938894113164,0.598286046674708,0.7345203442104898,0.9397546194959341,0.9321069985683542,1.2081000814709622,1.229461778231496,1.1708865358486493,0.9008110960245137,0.7501085721906785,0.7520926793586935,0.6289319840415843,0.563087246405416,0.5829365347452914,0.5824483684998049,0.7632265561992748,0.5812270081409882,0.6613924433141368,0.7279497481131422,0.619079513095744,0.7182383229389899,0.8255754302377573,0.8258002969168319,0.8261039410196849,0.684160617064779,0.9513070314443932,1.8340175797832625,1.2448745921050104,1.4450642358458803,1.1649655333562612,1.3139160825604315,1.300350390041867,1.0487006248761257,0.9363310972967822,0.9249529711346389,0.9052076267303921,0.8716636349308751,0.8367604145014716,0.7012346544939168,0.5754063045454878,0.5859406730309658,0.7391598187866949,0.6667798099819973,0.6553650964698374,0.7572000487485766,0.7182093607051853,0.6932491318117191,0.68387429479436,0.7323518853877845,0.7529534653565277,0.8388205367110617,0.8209828989344645,0.835657624724232,0.8712599623681886,1.058011428135089,0.9689433696616762,0.8619759601913668,0.799327898428477,0.8304222507056597,1.3580221784840387,1.0928095361608516,1.6065824848961445,0.8528756489028022,0.8444544863710819,1.0757318348611424,1.0221720001174925,1.121807458526292,0.8582985025408082,1.0867558415246947,0.9501302804918611,1.1344155345988658,0.9415711156097543,1.2405768623044204,1.3785377946379866,1.2135606420677467,1.5030508475403557,0.9606943253682971,0.8454789672811804,0.7506311644062856,0.770096168082892,0.7781325115808262,0.8551433086760931,0.758045831369724,0.6885883309949417,0.7066063055787128,0.8752461242020044,0.772577529111865,0.7225017520092052,0.8938431322858187,1.062280357466467,0.8278056530148212,0.8198896306152739,0.993157846027596,1.1119434014142333,0.875241650276878,0.8782333871858737,0.765069098607935,0.7356167745449581,0.7054199803114315,0.6719916155242486,0.7888928272138876,0.7073097192626656,0.7027311600682771,0.7672411891182257,0.7861451078023752,0.8090393942407772,0.8889273764501218,1.05368241852883,0.9904802797377295,1.0795201659659726,1.139583070223596,1.5512357173512865,1.2651412770918877,1.2017876003817463,1.430830371772898,1.4686968952317074,1.514208589613691,1.2215842797700354,0.9779344332335564,0.8215101696130607,1.1844206172184624,1.228329962287544,1.362371149034333,1.2507314488327688,1.0212500865815484,0.8513679567442789,0.7763579508801471,0.6796990668047057,0.5271993695694297,0.6279684694446754,0.6989021558004423,0.9857058231787209,0.7401404392569937,0.6343374152551986,0.5943189298186113,0.6760744330637535,0.47307410299819463,0.9214342941116993,0.8316069878120322,1.5657117184862535,1.4954930407691778,2.841008000389741],[0.6012325811976101,0.528152075033717,0.5638363793853696,0.5873161779689239,0.7112830670140068,0.7039429210757748,0.7896112709006081,0.8168363224778589,0.78358613963267,0.7477790156875087,0.7677541271946156,0.8234782072605994,0.7780558809586332,0.7542178979435122,0.7792421856311962,0.7682672655045588,0.7698606679075152,0.7654164032165774,0.7777590103702884,0.8048696897487562,0.8863878096931926,0.9582981747139035,0.9731861134443109,1.1552160616831273,1.0198895457391894,0.9042061498520536,0.8094621480885713,0.7664040589065388,0.7615766039542495,0.7731344730365242,0.7677834507159184,0.7977860297447196,0.8113396625924544,0.7906319761895245,0.7836981132367602,0.76473676737147,0.7875718291435978,0.7762897301461295,0.7981012185387579,0.8270535457863665,0.983061133181826,0.8546950699086703,0.859242275026273,0.9109719092147746,1.213527535391632,1.6635603454452166,1.8927292555075872,1.1169267681750346,1.481988519677827,2.2144501182547947,1.2325995558674574,1.5456150264592903,1.0540006154791248,0.8699472144247893,0.9904067027934746,0.8392264131886072,0.9649341340993947,0.8689592199999308,0.9123521474827948,1.4086062369178713,0.9767844146450478,0.9199490524539052,0.8101606226418852,0.8283043675935151,0.8667349207719065,0.8881535339474146,0.8650781575158508,0.7964275248523637,0.8723723739964073,0.9333627441933199,0.9905424944351539,1.272381404282393,0.9809459210619623,0.9603072649079297,0.8389532902316559,1.2134402466858931,0.8242111486552927,0.8379028901828514,0.7854638150232245,0.8918612244182808,0.7882170244675899,0.8245122343162017,1.2094669980171784,0.8197288314461686,0.8735365226069778,0.8015807186102494,0.802592598961445,0.8667696453282483,0.805015121847919,0.841828743907106,0.7813573076280546,0.9764222730930077,0.8618881029682021,0.7860775897281667,0.7717798501193547,0.8237057134891772,0.8378729094853119,0.8358791544478577,0.8336106693058789,0.9561280047349024,0.8550648149279692,0.8862714833669301,0.7986704456081524,0.8670960088523909,0.9710990877032455,0.9312345529467545,0.9218390373981915,0.8402278560147195,0.8155870607995793,0.8526224627954152,0.8543598847905479,0.83836283331005,0.7672803482848825,0.7581428731751799,0.7938889656578965,0.7566785382487295,0.8547245609471296,0.7553341547223495,0.7789967563339804,0.7920108526457483,0.7650789516792957,0.7488809159839986,0.7532434947766588,0.7329837918757348,0.7421262798989409,0.7592161949493708,0.8032503992886225,0.7969874686871846,0.8325767517152778,0.8280981097779797,0.8583296387782916,0.8870404076948274,0.8888841859384847,0.8430358509304003,0.8976467146838858,0.9855197399641368,0.9641074967460749,0.8048098344622404,0.8411540100219831,0.827541012732486,0.8628321916682763,0.9624201676066662,0.7861584091662928,0.7936791497335149,0.7943949288552502,0.7887461760065873,0.7885661572613345,0.7806987130087956,0.774911389967468,0.7960364263649475,0.805881829702825,0.895657629225607,1.1906064017796905,1.501380235619796,1.2132551799109417,0.9172776715452746,0.8289736346228628,0.8015516849266655,0.8001357013995348,0.8422408242113459,0.8095210279731269,0.7730145130450442,0.7979187993185588,0.7994188621700163,0.9094863649018747,0.9895689201281569,0.9696330764337255,1.1954095218212988,1.210212510028559,1.183077195238623,0.9169719134595054,0.8306816236236226,0.8980633539507562,0.8019321565188654,0.7827762577715316,0.838150246751682,0.8359748562300431,0.976847091133048,0.8186282821485259,0.8967171048485211,0.8415758372254554,0.8171510928229234,0.8582980086898345,0.926134823765489,0.9103321210150583,0.9703326232151576,0.8668300461801676,0.9800493596795964,1.9432145839777746,1.2365125738679665,1.3944353675548307,1.2073596748661948,1.2943670355833876,1.3011604566265307,1.0783694831359112,0.9641610026968465,0.9467899680626253,0.9261915661327706,0.9012577417844464,0.9018006216122695,0.7933366199373112,0.7123845426418929,0.7266126745411379,0.79776661441684,0.7589044004125933,0.8014177086318969,0.8058182718023711,0.771974437372895,0.8105963300379134,0.8274050264780225,0.8088872227751361,0.8491343153737977,0.9999115535103554,0.9872494423897125,0.9268794703431966,0.8810076381651364,1.0850715083632723,0.9061312996749729,0.8528281180238074,0.8221925788550029,0.852264891288192,1.2826833663824913,1.0877936947469875,1.5453769811101308,0.9363376471600883,0.9428076559089008,1.1795039818097026,1.1138383641160587,1.2141922247702635,0.9502900263507753,1.1256637025156406,0.9902665878104269,1.132490317581331,0.980553427529232,1.2848822850731858,1.4356137093570773,1.2443559491575673,1.5713119859457434,1.0193412231984096,0.915130231631376,0.8081411696243661,0.8274584752575249,0.8493759893737333,0.9489345400853705,0.8810061440785638,0.8158704804152102,0.8159318235479324,0.9471905500744856,0.9194854035684399,0.8591142819386808,0.9664650120384409,1.1283288474783286,0.9477559165407248,0.9046192266997776,1.0311160290236192,1.1571412703541304,0.9641420460672436,0.9454634159267247,0.8363755311233388,0.8131763488062453,0.8077624973105322,0.7550041807589604,0.8377895425324093,0.7759944944246566,0.778892225201656,0.818075749909808,0.8218146161309572,0.8436680027894028,0.9223264760459713,1.0687138470071287,0.9795280311184631,1.0869942256638097,1.1246851653186325,1.5316338080341445,1.2328416848451405,1.147432984606043,1.3809721762411102,1.377129041083581,1.3655959503164579,1.1240197140234522,0.9118434941033196,0.8036121404276109,1.070946038913824,1.1693499959894642,1.3110288931913747,1.2307367002051937,1.0184627272363798,0.872286958839807,0.8408535271579078,0.7905416477432163,0.7572739023514786,0.8179108512306871,0.7969282727019478,1.086663327339109,0.9000883765371084,0.7585086005425192,0.6778595460102896,0.8291789012495955,0.5395306203623281,1.095794158673403,1.0476737678768402,1.259850598958478,1.487751063774053,3.402499613892495],[0.3663420759887478,0.36980929485373915,0.5392045883563674,0.45407127330824215,0.5512175959539783,0.431663209595496,0.40499085175423494,0.509186677571165,0.4391443007597249,0.3507681398465243,0.3921069763552482,0.530424387812513,0.39131652901213804,0.37546277115036986,0.45291924390844746,0.4067185990103299,0.4380951497531799,0.4257022446172445,0.485248019773418,0.4766354319544071,0.5557204076524185,0.6296040495037847,0.6831672110514743,0.8985152732926105,0.8105090984590783,0.662155760435769,0.4861543278188049,0.4318560360584412,0.41833750853346846,0.3929756443693085,0.40206683477067356,0.4768984154823303,0.5160852334870091,0.4670541032577405,0.4296182497572671,0.3920052058373645,0.4529666315899551,0.44719785359670455,0.4472009705829578,0.485832633828213,0.6788586001888096,0.5143283887670745,0.5543928277491293,0.6484157961668459,0.9788188753115339,1.5506735177745645,1.7116346210946665,0.9060100482703096,1.501859285475653,2.2679679744737804,1.1337185458347292,1.2346308415092742,0.9260007591804039,0.6089919879931536,0.8935342010503032,0.6126390627981279,0.6359189996445974,0.5856352753884936,0.6912934813881071,1.111427924918199,0.6910775531732207,0.6236012779313636,0.4655414115771244,0.534724247410166,0.5552265320725113,0.5380109836245056,0.5715702837774909,0.4624351908796113,0.6064675898779471,0.6265979340915322,0.7634376190063155,1.1099059605759432,0.7573125791590547,0.7108536125735746,0.519061304206469,0.9357223821143424,0.45793169349512525,0.4790360158866265,0.4262981986112461,0.5101203873876495,0.45560996427951733,0.5023964923979013,0.9713986532846819,0.5985736855931905,0.5794500770963422,0.4536952437480966,0.450891704978968,0.5728524518527638,0.42055805176222166,0.5611159524996332,0.4401124857056337,0.618430871536377,0.48987614578389665,0.45305132920397,0.433813392931667,0.5042460638311546,0.531956519012842,0.5228059021078733,0.5393239063350803,0.8058337709926409,0.5926802274719533,0.7157484900176995,0.5084047844767721,0.6221818917165329,0.6428477914183867,0.6491645614702302,0.717815873755314,0.64543409087505,0.6455954964800437,0.6317395948450737,0.6040251740031836,0.5161771021282281,0.40727328125676865,0.41499371008147434,0.4000112265202384,0.4528139011402639,0.5500378997665419,0.501181858168684,0.5436945507586886,0.5108264944022677,0.47368476322712993,0.44426282980527565,0.5180970477005773,0.4286988133174704,0.3771262718179717,0.4982187709292539,0.5898037219623374,0.5216653728973812,0.5755738252274611,0.5700346535475578,0.6528662496271457,0.6686768068796924,0.6559724135040947,0.6267096917263124,0.6692560464364503,0.7356080473568617,0.8136349759259659,0.6198723535728528,0.6434040069036936,0.5903497254084287,0.7233147536053963,0.7502310201175537,0.568166455683469,0.5124197804047982,0.47588069637007957,0.4268082117021923,0.43033633918424813,0.3953414663671977,0.4136724769148554,0.44278406734931597,0.5641239343824215,0.6852814742064406,1.1339685399829633,1.4629887568102256,1.089311992360439,0.743834982032633,0.5475140287913504,0.5645944953403286,0.4711370198135727,0.554344403246061,0.47989968324665816,0.4448859642973122,0.49246711818660177,0.48505616214622566,0.603727701349723,0.7786649127527705,0.7322314089613486,0.9875958046174781,1.0207419807496216,0.9889451258375392,0.7158390229155019,0.6061173456137859,0.6053776891324811,0.5265543406988931,0.48131959781292116,0.5233676239983417,0.5285241377237337,0.7317684590737733,0.5110772295778402,0.6358503257496847,0.6681787868109375,0.5163058874149368,0.5543335592340206,0.6123609420353421,0.6353021656625857,0.6348138064896531,0.5618286154096757,0.777931770648042,2.0216188102219594,0.9920304087324346,1.1511052733579001,0.871102507940136,1.0401845666043483,1.0640395471393265,0.8331103473030993,0.7589106930066792,0.7496839380921511,0.723623402820896,0.7205410141201933,0.7025166492332913,0.6178989191702178,0.5834175174618917,0.5685246719180325,0.6642628486562984,0.627638113514251,0.6350972310511095,0.7114212706494176,0.6643244434714608,0.7000854809922229,0.6905114727800902,0.7050521542772294,0.7194637449381608,0.8302098219766029,0.8074914841138369,0.7590197988117277,0.7963293976686009,0.991453003235838,0.8581260788930337,0.7734613893069173,0.7346743225379313,0.738378970686439,1.392263793604114,0.9536164747006344,1.5739877515661382,0.861174575902979,0.795444691591646,0.9767538836055635,0.9033489426189218,0.9533946781912633,0.7212083871368165,1.027084254369336,0.8656550925691594,1.115821626442271,0.8088705535296624,1.0471162593761785,1.1544176800316843,0.9995044384882927,1.3430871342920556,0.8246454830307415,0.6926135668058038,0.6687014268532395,0.7440205160406832,0.8013514503315793,0.9045864042728298,0.791058621213607,0.706549685131741,0.726506946474693,0.9023424677638406,0.8025379761216056,0.7390588413807234,0.9203428401403593,1.0828754185554446,0.8468911007778777,0.823692924006143,0.9692060935081228,1.080519828291296,0.844117198856793,0.8341120640091357,0.7468719573882625,0.7201504087070683,0.7019227359870641,0.6578517531038743,0.7337948245651145,0.6702013585790257,0.6670718191213348,0.7034985708581144,0.7279732349383042,0.7142901704039791,0.775493896077842,0.9480175849823347,0.8775143133948939,0.9144333797874414,0.9823860339808839,1.4143902858133077,1.1522920710537454,1.1056175673213322,1.2659864998154173,1.3054156396158032,1.314792086502153,1.1239700225826559,0.9193997133129819,0.7870996156989307,1.1914882649141096,1.1507069516461677,1.211490340708365,1.1434709281463598,0.9236816257064683,0.751688826780306,0.6658844373293847,0.586115443610154,0.5750292235866269,0.6114326744713712,0.6324534421605105,0.9956274369628595,0.6640003510993902,0.6040914045920227,0.5433907294697685,0.6456099655619753,0.3839481965622831,0.9774563509355825,0.8111722930499458,1.2791177721047655,1.1877574111828963,2.6587585730731638],[0.3484375790906245,0.19202275217768697,0.28542548710477306,0.30830385099582247,0.3637165066393071,0.360789079009618,0.3475796787838783,0.45378857471928874,0.37157692845289003,0.3382511289058978,0.35023559707214175,0.48471103252627534,0.3675503844472353,0.34743144347985294,0.4484592883351072,0.39165468483961297,0.4182588217822457,0.4326447222517396,0.47580648076518234,0.4568970370273624,0.5110821405600383,0.5386947549514215,0.6717685727244248,0.826586405069105,0.7830622733849174,0.644838624695747,0.45732821967020726,0.4404293973292085,0.40192435379307007,0.3621604541932367,0.38571693688359965,0.45532786389338403,0.5015682793185906,0.46911664287529453,0.4142939454619042,0.37055489564574406,0.4386455794198436,0.4008944323152379,0.37381049994629567,0.38476560827944556,0.5713948244836675,0.4859127735921851,0.49557734749599147,0.5737116196118279,0.8894328492013337,1.5482880098754501,1.6517564197978118,0.8635779417956805,1.5715798512650259,2.3434133544468474,1.1310460451373343,1.1925140735078055,0.8236134422887289,0.47451920944555653,0.8793238217602756,0.5483354604393011,0.5859768590581185,0.5128804874848705,0.6579363579564975,1.0069508223651167,0.6126311641711335,0.6095766697442626,0.4741349001987988,0.5501366325655893,0.5120977083311408,0.5235841017107499,0.573065634039365,0.4554998584221883,0.6016796931959711,0.607785064021073,0.7715668855985605,1.1095725258091467,0.7554312586622529,0.6896254346899557,0.503932357393363,0.89676020314675,0.43064533318553216,0.46027020873297986,0.41824211032194786,0.48889937979375797,0.44676325116235543,0.42525323282137467,0.9546825027100566,0.5086409867154186,0.48149878314749384,0.40485022727897424,0.41130341081163946,0.557497604866183,0.39833014586040366,0.555717544117818,0.43518443572387633,0.5779615870595374,0.45606837814649714,0.4304021078079003,0.4129508884603547,0.47007992953740063,0.5243291673634639,0.47977787335989974,0.4951465757958512,0.7832971054628881,0.5882397176515993,0.7371235829828511,0.5170707843095307,0.6289178293030111,0.5912598770382647,0.5535406989193705,0.6501237696468181,0.5039632361479075,0.518845980713826,0.5575199337096389,0.4992772447282865,0.4081918520155744,0.3380375398781808,0.34236730888786754,0.35473208432562736,0.42610043697313355,0.5543360201762365,0.4606188404386223,0.5239170854733866,0.5228024785938389,0.5005915370462841,0.4762494870621492,0.5350333796448538,0.45285859523089184,0.3911579096611935,0.4388186671738221,0.46534444736563885,0.33198501718010887,0.32504491693702126,0.34821293946863363,0.3600390580532635,0.41581308863947497,0.3741654208419289,0.464549638957362,0.4252747001105041,0.5081905656087816,0.6345523166140417,0.4577777610593646,0.4724549963076729,0.4294294414805454,0.5839591362911525,0.5933009607083927,0.4701040224007485,0.41440267826280835,0.386391031011086,0.3841329303334804,0.37340565409615367,0.3576450354588259,0.34926986374700386,0.403094621175062,0.5469032084363921,0.6582642232489007,1.1661571904177623,1.417678700706569,1.0253703381712378,0.7426830142912756,0.5312450367668526,0.561231069824895,0.4320599587989493,0.5309975051557403,0.3678319728642602,0.39797232838235436,0.37056469497805883,0.38022558802362144,0.4442602886582252,0.5497356124074498,0.49360733152234937,0.7449961241649777,0.7815921365482218,0.7836684268192383,0.4926539835542389,0.4189691574593606,0.41268235103748285,0.4039945910446185,0.4055547307082865,0.4474107177036083,0.488820556422704,0.694306993455561,0.43748404322618495,0.5488579166730843,0.5885019541471165,0.39868432971894546,0.39907444911589035,0.42099424169913496,0.4492852830479957,0.476522468675319,0.47055768907680084,0.6874053111765698,2.1672580967834927,0.7708771987252565,0.814881980801642,0.6068038445234816,0.7433859777317958,0.7740359585261175,0.4947705210563883,0.42969831268309594,0.42438885080172595,0.39491174983555044,0.40241059550650354,0.47745345169017134,0.39690605144924807,0.49774604159076374,0.4192223226707736,0.41475535178629747,0.46926284573709803,0.5219167819441859,0.4875375998584016,0.46547336086117075,0.6331024803084596,0.5463193929119439,0.5409069128518768,0.602230423401767,0.7182549109649926,0.7368622482232076,0.6679577103946004,0.6806581332143631,0.9179754430234165,0.6972423316541656,0.595743929982018,0.5820099093587099,0.5565580830131607,1.5386966950849756,0.7577868117207099,1.4763293192892066,0.7439757512817713,0.6737755243583952,0.8440502203114844,0.7475923564725105,0.7420683008342991,0.4804072384676955,0.8975232696456481,0.6001132357871765,0.9619885806848527,0.5472668495495863,0.8168179044570287,0.9020536115607021,0.7229388729799906,1.1147730959281246,0.5401006911848683,0.5304306048932911,0.5006060133250266,0.6250501096968926,0.7433478958307875,0.9566692556167163,0.8537571808418872,0.6910799949297156,0.7668196855841486,0.982506289401108,0.8744653919790014,0.7563117697240892,0.9773000318432427,1.1319124202711017,0.8635222535897694,0.8376265946646423,0.9822045162988864,1.0703668489701068,0.8166494263823437,0.811585055967616,0.701948701740468,0.6873961668550491,0.6701230547634566,0.605686046073903,0.641674380766982,0.5384907639153316,0.5154333827109818,0.5156077165032306,0.5341435125196051,0.4568547052205417,0.49999592541359245,0.694954635804302,0.6019206550625174,0.6219235000525823,0.6736597093808706,1.1454116668266088,0.8427042837872027,0.830464478580216,0.9682125325098326,1.0421944223730606,1.185000266481653,0.9205380930115702,0.7092911944241164,0.639359758631468,1.0251374266040651,0.9318697562545338,0.9399840185569545,0.8756165412813618,0.6476214179598971,0.4899256944528491,0.38457746541362453,0.33944748696277033,0.4228473511653183,0.5029815189213838,0.5555776417926883,1.0756622418328257,0.5349118481374907,0.5510149940382658,0.5453100350674213,0.6370619929063662,0.3509438550950626,0.9309120189822835,0.6586132552807771,1.3727718029048877,1.2485698510210288,2.178965319616375],[0.5134048355496731,0.23642018560768382,0.3240761539918045,0.3033317707896176,0.3827468751060917,0.38280521094389464,0.38048639859160177,0.5734190538271338,0.4552205064655635,0.38327442269797024,0.4181585608041536,0.5639219752486498,0.4300764501763585,0.37982072859484767,0.5263156236071643,0.4622799507681722,0.4478297494302873,0.4473849314574603,0.45505615809884936,0.46546095066028714,0.4866872529171198,0.517170669870194,0.6606209103665508,0.818279350891567,0.7473552068407444,0.610354698040891,0.4291786207283311,0.41396318578945235,0.43199982861617164,0.4445940881729618,0.46636369458720894,0.554753202729175,0.6004151789312805,0.5542021539536075,0.5229834430089562,0.44867114739934877,0.5184282840908391,0.4626372902347348,0.4056645229069861,0.40446559602576665,0.5398129689257681,0.49252955515569125,0.47986285352074065,0.5359956332206357,0.8128355954496398,1.5011840749137026,1.613988343445363,0.7996584786680864,1.5869429009981026,2.3368936458689653,1.1308661289472948,1.233921303489994,0.8363897715671571,0.509893555979023,0.951008884816406,0.5785804045916437,0.5499550124583986,0.5392173152273202,0.6822205847552302,0.9740991485366713,0.6009071055554416,0.6385533963723505,0.5021896174778662,0.5904987782459238,0.5189780148317179,0.5540643514607878,0.5961205583303538,0.4925910336079132,0.5847506591674984,0.6283945645697904,0.7802230229975678,1.1195316986788297,0.8173724510104571,0.7306883595426604,0.5447124770222002,1.0109577681497894,0.5089211559665008,0.5424759761095754,0.4845164666868475,0.5262307966659032,0.5305128252412079,0.5101245169045348,1.0562876726165231,0.5817144970770708,0.5097647017722252,0.45370530782766044,0.4636175072199511,0.6039752946709015,0.45449133921938356,0.6263309210383047,0.5192163758247021,0.6685013230086204,0.5393111935092201,0.5405571933184147,0.5162373511472365,0.581273244068818,0.5817727505303808,0.6154996532634645,0.6419315864083749,0.9128235387335909,0.7211676312496897,0.8520899801212382,0.6414758478227428,0.7277107144965355,0.6349468478739584,0.6179422358624731,0.7004867497812723,0.5244187289621793,0.5364312654244886,0.6111807659869329,0.5221179753128344,0.4562420947897621,0.42302500125732956,0.3505932918590424,0.362305548138887,0.3634214561375814,0.48191174708835693,0.37947106260842595,0.46997543140291914,0.4657884348376629,0.4383697938176124,0.4153854783224888,0.41132966353020134,0.33765843443298366,0.31983571583323156,0.34948368494268767,0.47300571303495226,0.36980983524354666,0.35296517419275253,0.39629828893624036,0.3699471231347281,0.4131501992675942,0.38461372512681186,0.5086886123486472,0.43140009237298416,0.507534035429954,0.6353630974716244,0.4269259517136337,0.43337057168519355,0.38533983374777225,0.5792595069364844,0.5811177944484704,0.42434890570595674,0.365512003268024,0.35601671718724415,0.40299097957238417,0.3711137851888013,0.4113217261560768,0.4367335287939371,0.49800971215857837,0.6649536801512691,0.7827320281356972,1.3120052955478403,1.6193537715938728,1.1884030328380613,0.8923678053223152,0.6647840398692425,0.7080776355913531,0.5464477025021968,0.6186673173713135,0.3999425839360895,0.42541263137580526,0.34950099322592043,0.3879410748757906,0.43663425218292373,0.5552887156648328,0.47247198971837,0.7413354431330366,0.782044047771212,0.77112425208645,0.47265022090808356,0.40741919967582507,0.394350026521746,0.40726730309094133,0.44988283877086327,0.5419496811194945,0.5777343276047604,0.754506623348371,0.5248532713422397,0.6370372366579237,0.6026227256142717,0.45240622331917474,0.42335729885946766,0.4354832307379081,0.44653488289325155,0.46375403223249195,0.46000265111219,0.6859567505255203,2.127466797063048,0.7491923772847205,0.7994308919139741,0.5965316146825033,0.751106197307508,0.7908617474102587,0.5113401858530147,0.45327498811607303,0.44394326368612,0.40381568435243087,0.41623901657102536,0.4954444199459348,0.42017680287692294,0.5530720261868008,0.4527499696774318,0.42657600189000017,0.47875616341128585,0.509003044148481,0.5138771043910942,0.5059587663673949,0.6295203130032451,0.5328625455144023,0.6116456268934507,0.6364542041096469,0.6868385823996395,0.785086424935916,0.8035968327810497,0.8323437756196554,1.0283602376175076,0.8709736294505486,0.7079702101132624,0.693142834230044,0.652754533452687,1.5397495077210357,0.9081973122580781,1.5668707964719433,0.6969513135583862,0.6882515512465834,0.908622701791967,0.8208918666020213,0.7806156012309327,0.5119843554279219,0.9321513864120247,0.6098148188151964,0.9697255184313242,0.5661487197800354,0.8369278009853419,0.9137020327334516,0.7614817864008936,1.1225977065482446,0.549530673762487,0.5486747916440202,0.5512493256321338,0.7063919867593269,0.8343249409418406,1.1065133249197647,0.9687481170712527,0.7733481578407826,0.8431324744598672,1.0968754397871245,0.9772588935012166,0.7992067028831074,1.0543813673061762,1.2114936646230032,0.8877459189645759,0.8922433226750185,1.0544131021522691,1.0888779070200707,0.8343579543757257,0.8612133645485095,0.7278792177150102,0.7264202814583243,0.6918417533128354,0.6269040424920599,0.6847827398412172,0.5588568362925773,0.5295429395779591,0.5553355637158048,0.5845057403261091,0.5075974113096392,0.5730143797571406,0.7959163233677756,0.7010167882752889,0.6855635684709289,0.767272809419526,1.2250907426765607,0.928252072468983,0.930770834760085,1.0880915192959533,1.2129736103166342,1.4197181051894836,1.1085910041986922,0.8317936950241798,0.7522730157141374,1.1438001479243272,1.0180710420107737,1.0501175917193202,0.9281626132046363,0.6885413576828464,0.4964343308207891,0.41506568048608755,0.377144226830821,0.4516555440619484,0.46579201750578925,0.5436148945965502,1.146527396905488,0.4691566737660268,0.4914834567379939,0.5501798893723304,0.7231722495225729,0.3925073404277198,0.6811838134679541,0.6619550662871413,1.8314414457368833,1.8501100430768735,2.198439629999982],[0.462239538553219,0.30160717366481976,0.48151398364360154,0.3087831419611123,0.5272214385229956,0.5043869001110862,0.54202639871219,0.7523724231864867,0.602038697770362,0.5697864369338548,0.6079573142142164,0.7619575389795998,0.678653158887745,0.5702760498680329,0.7426724296650316,0.7124995539728558,0.6612421296969188,0.6539664463744541,0.6189138122056246,0.668451408711424,0.6357229958214524,0.6914952164253441,0.7909039051310323,0.9090324379111979,0.8400091024676296,0.6808159960806532,0.6070903578435015,0.6072988061549135,0.6793120207944502,0.7055653205804966,0.7118301526717309,0.8259756243241465,0.8724619459400176,0.8450716384024712,0.8299931949119549,0.7243355517563514,0.8163719448167307,0.7194378436095253,0.6892510938708295,0.6944469229373345,0.7309818539892226,0.7028473819553274,0.7143212696578021,0.6901398317027402,0.8604207107277952,1.5691991506068685,1.621413834871271,0.927770473390536,1.709086143292541,2.4612521053106033,1.2601693420738227,1.3900354882308685,1.0460178733851138,0.7394173699018108,1.2301031696716371,0.8903932970767197,0.7770780135204638,0.7869139573786339,0.9108166336315344,1.0351272939074532,0.7680147270559938,0.8821052752254657,0.7946203280995033,0.7875525433166073,0.719209644478697,0.7816839548698993,0.7436949846060671,0.6905527879508344,0.6901472375383386,0.7484130340611777,0.8996508222430284,1.1821864901970462,0.9449779984812782,0.8039768192358538,0.7398982449034104,1.1515833903810087,0.7476441490014084,0.7913224182055191,0.7681142873939316,0.8051042445268958,0.8630543926851174,0.8337847125248148,1.2706975736231956,0.8925619120411141,0.746506795546201,0.7606073800236933,0.7535559706429494,0.9139899767146947,0.7336372593481143,0.8812946899642463,0.770429182334305,0.8523699931086297,0.7685742623197029,0.804910734427135,0.7590831690785841,0.7773130625600816,0.7769407677369337,0.8484481768303549,0.8748444598680577,1.1150044338379512,0.9884070807511396,1.117080423684286,0.9743345168184152,1.0244421652622613,0.9079491639306028,0.8919140872422896,0.9608861438027786,0.770216566486012,0.7469947394790624,0.8251509762200822,0.7400030524496736,0.7123665132585686,0.6672946066408455,0.5787199069574183,0.5744452117759583,0.5204450196716517,0.6265318372169206,0.5197065781658609,0.5568359282509615,0.5819509504467222,0.5621918558553181,0.533468997170895,0.48709435171304094,0.4700333378779566,0.48198219064619896,0.5270115213815826,0.6805923805854622,0.5863637714215765,0.5687931395030922,0.6419193138150603,0.5571482481176907,0.6309786685508556,0.5789101333076836,0.7473032420778892,0.5788396617046723,0.5906595403185614,0.6900568319609934,0.5524964333074447,0.5767705128334151,0.5423319593817961,0.6236784311295994,0.6282337790429048,0.5534414513479888,0.5462029737025503,0.5836203490319538,0.6508433322222364,0.6043652228359838,0.6841094742135334,0.712054078738483,0.7378727451407083,0.9100442959965954,0.9652622144288199,1.5540504055596716,1.6436717621012686,1.2433279537736133,1.1337701328051748,0.9179817104005655,0.9794200218640355,0.8310553894109161,0.9070360765740351,0.6762101386119367,0.7145802279900407,0.5716585949244035,0.6460292974966513,0.6577694322261838,0.6648928107254437,0.5451412939346351,0.6989570213509148,0.7555654437146055,0.752561163263654,0.5557851075485472,0.5687789856096782,0.5979762828712654,0.6751790648233229,0.7519253029170921,0.8494036460816718,0.8782221081766426,1.0261185383318436,0.8359413831766288,0.9380487264494028,0.8154663524138348,0.761447614469921,0.7011060434303061,0.6742533079485625,0.6360094412815187,0.6881866414051159,0.6930569715328799,0.8377016085679654,2.280861257024682,0.7445352100831941,0.7479557626795444,0.6428158881292054,0.7217376809126845,0.7735076210505132,0.5829732439934644,0.5913190092601012,0.5512640654110113,0.5500731896457276,0.5279348733871682,0.6414919310303795,0.5727884643932089,0.7851906081572632,0.6610423015146178,0.4942479478428324,0.5569309927045811,0.5737811879317101,0.5760961672222702,0.5375303742651908,0.6347082851521936,0.5334817983817811,0.7242102515133746,0.703630447695078,0.6712831448557414,1.0968270570957956,1.1354005310637325,1.093802143231183,1.1705119582582606,1.0765393645425156,0.8110714009117396,0.793086786313508,0.7323529134956421,1.7643106580006402,0.9746249133354404,1.6307545114252917,0.7171173903332437,0.7991191585934764,1.0152281793456217,0.9397048598699239,0.8123549097702445,0.6351091278449014,1.0419236618899217,0.6935335333682109,1.060056602898209,0.6699044242878539,0.8809034227327509,0.8745967632605551,0.745865854896054,1.0595342437246942,0.5951205081968187,0.7443376769517674,0.7718090272773035,0.9006116414294929,1.0671182964417048,1.3585806416242485,1.246232453372988,1.0315558903561222,1.0501178471845083,1.3554057555090377,1.2521114526801012,0.9595552087947211,1.2246988856062584,1.3872085182689378,0.961080312498017,0.9518787910402718,1.1255020265997422,1.0728785342409761,0.8249301091133941,0.8799013813899113,0.7497545847837505,0.7863964247975803,0.7898346470142983,0.7214672971492464,0.736733373575347,0.5934111995009435,0.6319001206493496,0.6011962942532142,0.6298530227577764,0.5350329350294033,0.5808108326337293,0.8134814687900046,0.7362661908972652,0.6590471761407461,0.7668268606434779,1.1841555278041567,0.9301393878629663,0.9709194519490856,1.130274684997548,1.3149067437555266,1.5920323240905574,1.2631600262358251,0.9683978772287063,0.9611832946535926,1.2807696045699815,1.0881165816847405,1.0706313711379665,0.9027387772070183,0.7020349391455898,0.5665307446994454,0.5495298751730926,0.5462252428468802,0.6343985487788664,0.6406917185400174,0.5957621150268644,1.3334041731465307,0.676079482740706,0.47663189056415944,0.6663599918447005,1.1585781493226595,0.4240373430098206,0.38934541866332484,0.5434551026281654,1.400524029164016,1.7920741170450543,2.102647215248686],[0.8829389153970505,0.6893484888841986,0.6896426443092945,0.5729812153287758,0.7191445275903753,0.5614939082287917,0.572148370218586,0.7998412515584549,0.6072080761114105,0.5637078735708112,0.628208296467569,0.7952192946900896,0.6872969310231966,0.5549888884829252,0.7656634589274957,0.7372340486150721,0.6590223468590751,0.6603466737741738,0.6130071721279914,0.673892290708825,0.6445403712993053,0.7319541867580549,0.7573756378552536,0.91125099264728,0.8177132367460234,0.6759648951073204,0.6194283535679154,0.6065963036946262,0.6912938978733235,0.7596068196266232,0.7672158878644697,0.8779214223707731,0.9531668089449306,0.9212236163468593,0.8886015829006195,0.7751357286956434,0.8728639289610685,0.7575095955635412,0.7343870183921906,0.765265197728038,0.7347072098079275,0.7326157526120683,0.7340732214785549,0.7254444798436706,0.8263925747131442,1.4910561146236143,1.5559911159074726,0.9087455670832895,1.66776986213587,2.4114332129731033,1.250436369453904,1.4421463586969703,1.092045298582381,0.7874676259333337,1.3234118038454288,0.9654394285162188,0.839789766637432,0.8497119545214062,0.9677075775263567,1.0875053002382828,0.7986702806010015,0.9076212286176867,0.8181486757235069,0.8269829766951862,0.7248986467767421,0.79540623466812,0.7844320080698464,0.7154034912814335,0.7053452549488084,0.7814474807929646,0.8823401562482168,1.2431930209469246,0.9889244543979114,0.8629760776909078,0.7545340874053947,1.209748312058193,0.7951516676509933,0.8694845188227427,0.8319500238390201,0.8714144446598068,0.944820983673314,0.9153582413120016,1.3521058288756547,1.0358135773501045,0.8270572632606346,0.8362556338043501,0.798401678706222,0.9610375415520328,0.7984690415309099,0.9267020829351285,0.832751830701667,0.9407064864516422,0.851642310705514,0.8815895428604702,0.8231902769102865,0.8666125537450952,0.84178587264192,0.9334731541342525,0.9662820814248992,1.270942789319333,1.0955119311721955,1.2461889820111085,1.0862845786212436,1.175073649505891,1.0758042831922958,1.0287778257959483,1.12161400951091,0.982945098405633,0.9615887902549466,0.9902622012916835,0.8956545940368297,0.8038827596632423,0.7253558350736664,0.630169632852274,0.5781467791519344,0.5149127009605436,0.6031580893562217,0.491005597861189,0.5519629761491883,0.5751742810856517,0.5314322433919333,0.5095637196934011,0.4539650536520013,0.43940701231285795,0.480385778984862,0.5583907468521206,0.7479548902050603,0.6845498698469129,0.7183213794687514,0.7891639733946759,0.7337286902944253,0.8248382076102817,0.7397229740539397,0.896090549837962,0.6901117151029957,0.6549224544431592,0.7486219335786952,0.6268638698694069,0.6148608507511018,0.5832379604826682,0.6743061917827144,0.6621953498030023,0.5506091809801765,0.564023210298586,0.6014504018274021,0.6724418442018459,0.6236959676855667,0.7109126085853094,0.7742465832163773,0.7924963179509353,1.0013317654727154,1.0565997709251829,1.6898044735212343,1.7840975274989872,1.3622682773899448,1.2610432822848383,1.0086027694205775,1.0846340845480698,0.9141327928648741,1.0135066777550146,0.7534523005497802,0.7551845516648451,0.6103844032330129,0.6956292837575129,0.7160201737216291,0.7372700330533087,0.6384534025085815,0.7766830704447102,0.8240914076899759,0.8116943046466766,0.641940925265729,0.6381464269852525,0.676986008524541,0.7671492575904483,0.8477221650294746,0.9748303906067359,0.9612495191017347,1.143219239164639,0.9500210368152847,1.0757887827010906,0.9156263834157635,0.8977053264637598,0.8519613232702601,0.8282518346875521,0.7671849398132617,0.7895496065228627,0.7536959825181657,0.8785681573913625,2.3056418641926752,0.7886712745575245,0.8233040792965144,0.7335984597355267,0.8147131486420307,0.8854319171369799,0.7435791226753719,0.783994143857791,0.7511177074366098,0.7666584788405715,0.7673872732332352,0.8763886132473003,0.8674258805377256,1.0743747604133482,0.9241409490369723,0.7612141044952693,0.855324911825653,0.8729827559608258,0.7600521607817269,0.756373912177454,0.9233696319962688,0.7470564393018553,0.825334667798367,0.8210994403101628,0.8160386479968299,1.0615845683287897,1.150037321031315,1.125922468045924,1.202393727256702,1.1958077703391783,0.9340739162800501,0.9162658331170034,0.8883083506118507,1.8899007564210593,1.1514470189474162,1.6873170607159058,0.9848965989429569,1.0826663925649256,1.239667066715088,1.1365103181972798,1.020492078331281,0.927941326375882,1.2106628723273831,0.9658733214512972,1.2968023823794956,0.937632448839561,1.0637539752718954,1.0631400464599987,0.885578061637482,1.1472187104339855,0.824383697333636,0.9944469805649349,1.039358406569318,1.1696797631274913,1.343089786162279,1.6998102182391295,1.5505244087339651,1.3117223644609253,1.3662902294682744,1.6863776991075663,1.5503683387146248,1.257731542043801,1.5503023394419781,1.695725660070043,1.2518776471409332,1.260794450944098,1.4620210420420168,1.3565137941961796,1.0436620373960892,1.137150051312376,1.004816675572009,1.0844711245082175,1.1032209236278292,1.0308390801100533,0.9635883986650285,0.8474894850292581,0.9213452160514588,0.8488898523369851,0.8524844935714619,0.7984911934020643,0.8331156773774052,0.989938085768806,0.8986646241856674,0.8481523929475739,0.9244959630445777,1.2836123982051908,1.0602585911167302,1.084869465160391,1.261105798669253,1.412664485283513,1.687603214896881,1.3387712286713738,1.0508399303408746,1.002112553976442,1.3416136977543134,1.1902039546946772,1.193224754412214,1.0513909575633804,0.8765923408667892,0.7961879847338817,0.7658140226539157,0.7342875566077407,0.876892347229166,0.8687412629614657,0.8210652731030565,1.5232905299032202,0.8794838101924671,0.7234188789564193,0.9428988173463532,1.3231030412264666,0.6472093105093679,0.7357688506447284,1.2865689268903402,1.4722001235288447,2.530119909414167,2.434020130616941],[0.6596478722643968,0.33329445307358563,0.473307743939603,0.337903616329758,0.42970287824644937,0.3884430986089575,0.37426680265716006,0.561439320966168,0.4690924724579341,0.4601525408194591,0.5226332206694225,0.6411985787681964,0.5336296558349947,0.47591113438491184,0.6742905219991812,0.6088170715042306,0.5505517127341036,0.5751895522264199,0.5486567511086353,0.5603249566600738,0.57431238712708,0.6072006262487357,0.6429811467057358,0.8531625494551126,0.6970538992710487,0.6372536650699898,0.5157117778216139,0.49855069933751756,0.5419903386325494,0.5778719227516604,0.6370568177775875,0.6897231099205889,0.7638378823481647,0.7375813949732226,0.6943445021159768,0.6028234674230118,0.6601562075048596,0.5649331725772657,0.5339663363481072,0.5504110727996425,0.6192253950731246,0.5812907684191448,0.5803911678778865,0.5729504059667347,0.7674208889337362,1.475413221126981,1.4819867528871358,0.7804223789043055,1.6150398665668328,2.2882451517535185,1.1220586716534708,1.3162385392582567,0.9091671512166697,0.6144344490606817,1.1604718015941837,0.7458795623874143,0.6533693859297265,0.7127947686076811,0.8547303929608344,0.974444953827382,0.6848854141631846,0.7836045225109474,0.6685770855327273,0.7488275024820487,0.6052624444876175,0.6684912425558693,0.7289424267324149,0.6352476651545877,0.6685065577840966,0.7238651246487183,0.8605482719713157,1.2544583277358894,0.9360116168449014,0.8309621353367909,0.6645968851406494,1.137312749845477,0.6667684982533673,0.7356459495784934,0.6579198395285154,0.6628761605993717,0.7005547804940195,0.7290801509272923,1.249028432138514,0.7865472549094613,0.578876178290634,0.6086292805814543,0.5871678691366021,0.7429470101441608,0.6159781980274567,0.7652588242178233,0.7000374763469253,0.8472111258369633,0.7481434112851338,0.7383796915189594,0.6943396606871309,0.7433149419132363,0.7531654905816896,0.7535944565610522,0.7740565476455449,1.079072107794359,0.8630427856507485,0.958394587357485,0.7734280666391925,0.8337514633028238,0.7503238961639521,0.705672240392288,0.8189366328440771,0.6186473471012921,0.6128107951231956,0.6754230751796185,0.5554132889815911,0.5126946969602086,0.4729584047579336,0.44980771659724156,0.442709860982431,0.43065478156035847,0.5145427848398718,0.4357296010069693,0.5303828424249286,0.5631278609753942,0.5060888102981226,0.4869415066238012,0.44611622480949525,0.38804194213442167,0.40307241094946566,0.41759694033851447,0.560326397068876,0.4477731072921504,0.42585972917685877,0.481313735832849,0.4153143983298595,0.4777038359304633,0.4305919348815117,0.6112626954122649,0.47988809512387437,0.5126468589545774,0.6598523139923157,0.47811142031259485,0.4969670948404194,0.4725054859080113,0.633760520310192,0.6032961250938806,0.48628068524611356,0.44489307286724195,0.4513933877364093,0.4938462646000147,0.45481157555410817,0.5109133265155182,0.5259322472027814,0.5623314994128087,0.6985703846129496,0.7995825691428883,1.4673218500508551,1.75715250412642,1.241499855403563,1.020401613398778,0.7619577852737289,0.7826232527658707,0.6498152840472252,0.7224828715049011,0.5050583925515789,0.5208223846053287,0.4331062017146661,0.46858747515339055,0.553876129181914,0.5878105536286182,0.4912609813321309,0.6828215115667227,0.7250200243623444,0.7356836661567122,0.4930473941709024,0.47626563280645157,0.4772427700079799,0.5029468723521772,0.556089415499071,0.6730803156099529,0.6955055276826199,0.8959157710508366,0.6569126851250656,0.8067171822870567,0.6180040623548972,0.5642625794997504,0.5148853481651443,0.4895703444050455,0.48478453757326817,0.5082456985633689,0.5318566006544477,0.7493952798855987,2.0748287841240294,0.6734855405856626,0.668376303232275,0.566158704754711,0.6842288561726199,0.7556781604019339,0.504330430096272,0.48058478705456753,0.447952877516988,0.4594852631779922,0.47286511709173795,0.547440484819948,0.5340474345081594,0.708471714651279,0.5623648008770059,0.49827832577414966,0.5600204699009352,0.543546456303741,0.5879764434571804,0.576326151177545,0.6611372446893368,0.5667998148704722,0.714443939268093,0.7098279432007741,0.6719099742245509,0.9699347504129091,1.0442468356038621,1.022198803241865,1.1655970745383109,1.0669592387610913,0.8270095457942764,0.8213798438383126,0.7834284687618253,1.8128428679089434,1.05532302306552,1.6743018928982711,0.7658473846200944,0.8379620088069499,1.026462554397631,0.9668964455819093,0.8200801935366371,0.6427240108094409,1.0478780005132835,0.7083830222108521,1.069088290712422,0.6483308342646835,0.8731367726109984,0.8854255191357322,0.7636716688475621,1.0737363306991548,0.5871388067437547,0.6935473875597079,0.7394999254240485,0.8858420879230577,1.0420231887731695,1.394775592438464,1.2322486753846076,0.9783707500063469,1.0486601351655,1.346552261165931,1.18167554892475,0.9193083946481065,1.2038775493666374,1.3126571119706036,0.9204006025562435,0.9833744055787978,1.1637953555152656,1.0553791058513673,0.8627156303868079,0.9581382823271561,0.8154400732785179,0.8478934359015847,0.8230386684177308,0.7780333407368227,0.8018933047034761,0.644176324385553,0.6679178021193924,0.6606856050141761,0.6755961331926899,0.5669460379290819,0.628585505252929,0.8439763098075371,0.7550710114457766,0.6875843735598778,0.7824859806007668,1.2059051309020064,0.9506423496442725,0.9685473232694438,1.1382041294328962,1.3095201822901763,1.6012014865225026,1.2217277086182936,0.9405237628165196,0.8872487126299732,1.2163231061271944,1.0665121015983208,1.0775352824905866,0.9166924900949457,0.7088355232579924,0.5276744164032525,0.46768353618353986,0.4310801516895696,0.5287380394392797,0.49722326167064584,0.5935876158951982,1.2386207006043148,0.48060520058708595,0.4835334510401305,0.5741097580770803,0.9006121231683194,0.4020556231330353,0.5638711669447335,0.8732763872626925,2.62637863771047,3.753807718570959,3.1162947013266606],[0.6021087597001923,0.2756927171920437,0.4232052807122307,0.33920532220329064,0.37367814127413634,0.31289117848046644,0.26031650953873464,0.46117618622751705,0.36765497268001934,0.3431952639673157,0.4193432601659241,0.5532160269099549,0.41904208118072334,0.37075057225192865,0.5604950042603826,0.48414837767318863,0.4689539446996528,0.46285094516030867,0.46081194618537435,0.46489217272206246,0.5096913004298268,0.5187160586721087,0.6257103937798703,0.819288010691063,0.6721367477191795,0.5894285499525214,0.414710408905252,0.3913800958179519,0.4075196995061766,0.45133457718677283,0.48888041505900276,0.5729035676145743,0.6266237007190072,0.6013113113034221,0.5506121915260714,0.4564460035113407,0.5057941273176754,0.42109909342463697,0.393961994833721,0.4016066990847768,0.5178782883897224,0.4774155991624024,0.4472800013577446,0.5013641497474495,0.7390091621876396,1.45553458280771,1.5043891102196503,0.6977982976415141,1.5766641720699945,2.267735012105626,1.068053850663976,1.255220512583688,0.7963963656375778,0.5215209680269527,1.0096712655208901,0.5953850081033574,0.5495521786549945,0.5834232174169178,0.7120634533368381,0.9476959493552719,0.6078946730012114,0.6804893415155595,0.550951543418081,0.6389872149103836,0.5438090948889552,0.5829387541835717,0.6425484014928864,0.5355768803074593,0.6235654799288332,0.6473859368922419,0.8415544394962184,1.2056908967223967,0.886375511012862,0.7935969732536529,0.5680436799290733,1.0747881117025249,0.5311434887657264,0.6027080013312446,0.5120002326765613,0.507764716752545,0.5343730424001383,0.5574028075789846,1.1658470997422723,0.6005957661323138,0.4672839069678793,0.4452484485899829,0.43571671543096213,0.5994387259339311,0.4712176755708187,0.6608823895734292,0.5571966417164339,0.7363032971771099,0.5973754188675237,0.6040613721473743,0.5626518202841799,0.628899441185277,0.6364693750202204,0.6375036841300269,0.6588216552127678,0.9718240028758367,0.7258447357356076,0.8387479543590007,0.6286034871589224,0.7150342567125425,0.6084702775328686,0.5892046393759044,0.6714836835597011,0.5031236727444952,0.5120436291843791,0.5652062901901275,0.45919565307851373,0.3846263092145533,0.33981104712352517,0.3307600826111648,0.3342136395141882,0.32982511848748325,0.41968308240640695,0.3653689949168665,0.46578766587730247,0.4945573160432708,0.4328729149885232,0.3965920162042456,0.3919534433718954,0.30106142157331106,0.3013595762348464,0.3292039579579343,0.4492609802151457,0.3359118487594249,0.31321333685751,0.3641073235613897,0.33903315998396405,0.376210891343783,0.34505110026039276,0.508741438312877,0.4117510966894524,0.47358227336225395,0.6466199947990704,0.42499873772393126,0.43328586388449825,0.3933907356194946,0.608199402727828,0.5711720366621722,0.4233381682559072,0.35952497606761225,0.344422112392201,0.3751132746950184,0.3394108631914701,0.3794412147397647,0.3905753941303524,0.44569464132753134,0.6025971035646034,0.7269342769421298,1.369299279184658,1.7551997519701201,1.2384915476836935,0.9143810415501137,0.6416648611908624,0.6869156808662591,0.5187938066600188,0.6028802991197018,0.35653357008984776,0.37965479910763733,0.33610234200699246,0.3553153239522908,0.4288830269080826,0.5537539105108715,0.4561494114342981,0.7105082315496196,0.7474826901917391,0.7521557013520757,0.4674595083977254,0.397932242967959,0.3790152152143346,0.38344185106186424,0.42189523126737044,0.529169626198692,0.5628417090250334,0.7842312944332551,0.5077730073156094,0.6398638088192949,0.5616653835435389,0.43583997825056725,0.3942533236746474,0.3929247384897073,0.398203353236927,0.4382901005408,0.4320169968502503,0.7020677000888187,2.053568870781144,0.699181827909852,0.7084257621029129,0.5510789462959965,0.7012216208292796,0.7574504489906738,0.4835205208968103,0.42643889853970746,0.4181160615160025,0.39110671989378143,0.4148412451507534,0.4850279948854994,0.4435540570593468,0.5815141475343186,0.4636411185570773,0.4539437642467981,0.49794247837397076,0.48970350146250574,0.5664060081300075,0.544770963008767,0.6210518270591432,0.5436083866271163,0.6746576942932035,0.6741104551831405,0.6590752413888921,0.8766697003743372,0.9325457483353141,0.9422076765898253,1.1076095425811328,0.9794680720375423,0.785701032687892,0.7698020506613991,0.7320684612850349,1.7059621152760718,0.9809560481385756,1.6174039439877277,0.713991480513537,0.7546124449296001,0.9458421745098617,0.8687623593563235,0.7811911602192145,0.5460014949505237,0.9820461802471259,0.6254493219337582,0.9981488641253171,0.5820305349655852,0.8523151764582461,0.8850203169703644,0.7617275132694765,1.097961633100146,0.5551788179933025,0.5730913763623634,0.6092688860329307,0.7617570754540558,0.9029830645831216,1.2341839722214432,1.0638566524376707,0.8291908639159142,0.9132599542027949,1.1788187358160518,1.0361045660609016,0.8174195036011124,1.0991562098286247,1.2221449822418031,0.861508660366054,0.910671491811827,1.0912349685910836,1.0537167957690192,0.8392824906274057,0.9053194705954347,0.7680806639083021,0.778006651832704,0.7298847527073482,0.6853606051205909,0.7461067309737164,0.5977005539133001,0.5837045808937572,0.6102981789171285,0.638564768887397,0.5286930887693356,0.5941897234534976,0.8294485654538304,0.733476567657761,0.6851548332230774,0.7702710023431454,1.220532158441322,0.9408382070774024,0.9538455129509517,1.1140938565794365,1.2672585751079846,1.531539246449794,1.165032537383889,0.8923077721185689,0.8323495019598499,1.1758406449134422,1.0466814012840422,1.069979084438285,0.925597176304389,0.7035351990955772,0.49576688240181804,0.4119529231391527,0.353962379761883,0.45218411076688003,0.4221803095683882,0.5811403726897073,1.1850116153666916,0.3977008508062954,0.4974039439658414,0.5895789041733392,0.7325795778327817,0.4376590262253578,0.6061450390505044,0.9054615641357139,2.710208748652224,3.285423207343679,2.7915838304841945],[0.6205947802342588,0.35384810879248696,0.4341123320937331,0.49268386678902376,0.454298174860107,0.32614830446542514,0.29071576441822067,0.44878911766980467,0.3346413323225267,0.30103299906989067,0.3730334638211628,0.519233361367376,0.3648515408001026,0.32485190184375967,0.5188576746125498,0.4496577899659358,0.43152301774427104,0.43744878619721483,0.46808627854376833,0.44653637298184834,0.5020386640559651,0.5107038825774964,0.6431775252762452,0.8595726480918001,0.6902180577665268,0.6134570718217502,0.43481319534768975,0.39486993671465476,0.38282450525955547,0.42362712037322414,0.48117219209317025,0.548382378294697,0.6189012066851888,0.5869790732123893,0.5256047009855181,0.43588953178345474,0.47848019006264125,0.40535545958382313,0.3756350921693922,0.37592562889631514,0.5030754583556803,0.4848472019768096,0.4523998041075664,0.5154625434872011,0.7181358013372863,1.4570010096415649,1.5240658332226953,0.6898436792137663,1.5951237396222935,2.2730120132111025,1.0965837715323412,1.2332850002037334,0.7677381143636577,0.526811723682871,1.0209601245127764,0.5898821206254167,0.560935561433703,0.5811233814802534,0.6997875970945089,0.9692942782016589,0.6024202040468168,0.6621761147631451,0.5252486204840424,0.65465089767813,0.523906553362395,0.5580365921520146,0.6595851341692706,0.5235017376636331,0.6301287851176095,0.6273744401767212,0.8267616039518055,1.206569433592711,0.8637058397356954,0.8206458339660662,0.5595289638281461,1.1070686742074158,0.518888535389087,0.5906801428915658,0.496584026345955,0.47869693763071897,0.5175772512324452,0.5512133606784139,1.193994939995443,0.5821588397608563,0.46924849638767635,0.43079482505412175,0.4127519295399264,0.575879035163976,0.43843860880314106,0.6510961837095988,0.540727367766082,0.7147246640737034,0.5945694024821445,0.5955458755027299,0.5453290953479213,0.6294383349511224,0.626081615022099,0.6208382493125248,0.6357132488506843,0.9769616846262215,0.706720211446878,0.8152034069222882,0.6086756868750531,0.7047446993113532,0.608872375464995,0.5808117701131249,0.6620863700547042,0.5068371684422223,0.5244903400109076,0.5685776144264023,0.4701906461811487,0.3919902011354817,0.34490913389498823,0.34649453180402706,0.33414818712130384,0.35140319759374944,0.40314577633847565,0.3995767738587315,0.5020474126770046,0.4821365557916993,0.42970490163264674,0.3857280589131491,0.42685821364201715,0.3264292552365149,0.3252924177782659,0.3447605149268432,0.4379668516239515,0.3640701983224076,0.3414634637609305,0.3632763770216152,0.360799217898338,0.3924022244764051,0.3643607452874522,0.5086625356381118,0.43148054195070407,0.4961994207892766,0.6758902322477636,0.4865451103175726,0.45021267877226273,0.4263576466054359,0.6749951263640286,0.630971739129731,0.45059265930860964,0.37777315407016643,0.3501824171776994,0.36291926030094745,0.33308149712287777,0.37187617669308065,0.3825320793460115,0.4339725758995153,0.6015791019116569,0.7241299367460138,1.3846592067654249,1.8251105057916923,1.2665761856062685,0.9215140953850857,0.6279155652310617,0.6694964286490948,0.49694845125860165,0.6044283950660777,0.3523573295685906,0.3696723441948168,0.3428851458330477,0.35915825680379837,0.40516836292622516,0.5996323877323861,0.49560976158323156,0.7566806423833561,0.7972918945218413,0.7796403764661616,0.5155160757528782,0.4398782622187239,0.37666090869849156,0.3816366566912579,0.4093631593742261,0.5184472417095004,0.5414526915276734,0.7672564901955046,0.49069399577361,0.6166221253324274,0.563812631565244,0.43944887692538154,0.40633503753613726,0.3925584592974825,0.4027287028517694,0.4280080116206091,0.441414411637641,0.7372510541487594,2.086851778931255,0.7547370589102242,0.7596394473544176,0.5867084653944504,0.7569393417059237,0.8147899000055161,0.528919927015167,0.4470693535137095,0.45782332092844935,0.40340485164131196,0.4313745722047764,0.48351594826252664,0.42744067812063674,0.5641094010040523,0.4540919242698801,0.44165673501118813,0.47425852476214975,0.4717940404301852,0.5627965799231816,0.5114022337582347,0.6138613622755906,0.501188242157848,0.6262513564778758,0.637850097867534,0.6273140713305565,0.7949121819672746,0.8771100368191592,0.9079855081305682,1.0903258887843723,0.9822333014044323,0.7710126522560413,0.752558474020534,0.7329826219800915,1.690096516966081,1.0185678982688677,1.6061282304180686,0.7246121782136625,0.7542737175054551,0.9383705788576422,0.8484392300095026,0.7605678343735994,0.5375453302520431,0.9671051940199931,0.6408272085480425,1.0371972212582141,0.6068990823482296,0.8321974080798042,0.9373710450348219,0.7663607801584045,1.1026719969195622,0.567733668866133,0.5642243717246025,0.5802734111970269,0.7370681988035156,0.8977997589224344,1.2577106710649106,1.0751404912963416,0.8246602363508915,0.9311838132383834,1.2109521100696086,1.0446078970862707,0.8233206002357218,1.136870984502241,1.2591053276668496,0.881701448465543,0.9502184511135772,1.15718627998475,1.0942819798239112,0.8662941448948045,0.9589703251182013,0.784788800780179,0.7990038238133639,0.7441559526495979,0.6945813949157459,0.7483836994172346,0.5733820492381018,0.5821343173175867,0.6009750067681912,0.63056217097779,0.5252538568004939,0.5946769291363357,0.8479420240419369,0.7486089696090056,0.7148827329346672,0.8135327809851822,1.2787103973491967,0.977841600327266,1.0004201513095312,1.1730014461627045,1.309123633566523,1.5914568952377197,1.1876983246750699,0.8939277060264618,0.8042618869316984,1.1934837916778671,1.0906995488696234,1.141226109688728,0.9802499310925543,0.7234176654323382,0.5481624709877462,0.4203525183976771,0.3816330614978244,0.47677370850643824,0.4163601453973531,0.5686358985714645,1.196786201183366,0.3984516678205945,0.47878678528267354,0.5812443124248873,0.7176885143734825,0.4292655223397069,0.5626576157168317,0.840559237914206,2.644385510073773,3.5015521794031783,2.913570767384981],[0.5221495408298517,0.3206396355154315,0.4303145985843245,0.37343222868584847,0.3989049714140772,0.3829853103962099,0.3060462259766532,0.475668443073406,0.38057311774801444,0.320688094744875,0.39424848310543215,0.5490041764384128,0.37032987808690015,0.3309794191312082,0.5142666731672582,0.4588084771567997,0.418253882602004,0.4493805297648254,0.47510027444181835,0.4560797037595887,0.5193490690889004,0.5250655737224738,0.6461317307992405,0.8912998894852585,0.6931868159894199,0.6299043188629971,0.44560780714343934,0.39419145157912866,0.3903717515294508,0.43952844695961985,0.49395914846682637,0.5606900093364773,0.6227631123433895,0.5832355555749621,0.5267280129333017,0.46285534983045534,0.48130510679729144,0.4191095732402409,0.3781440895677536,0.3914698789789225,0.593080295795678,0.48802891180710817,0.4700851529934761,0.5160305862929021,0.7692615141715627,1.5522540817226589,1.6004740884761597,0.7339809284383783,1.6757403237895492,2.276740114462514,1.1525676050982387,1.2784929358094037,0.7775839495882358,0.580406215853809,1.0180503678073929,0.5894802460850898,0.5659365265409197,0.5855887322578631,0.6860241643709967,0.995289029690037,0.6105823927453705,0.6566950680436638,0.5343338508079826,0.6843671518363235,0.5408350740335572,0.5700031036135661,0.6686675581196072,0.53586615065193,0.6595673991382404,0.633107718501169,0.8354867469686265,1.2241289823444275,0.8526161454944811,0.8425755526777625,0.5807454188094731,1.1442629362416823,0.5422388668227941,0.6042432334361341,0.5194872649814416,0.481581318837965,0.5060297120956214,0.5631102157373737,1.209334105307426,0.5780101838588192,0.4909893711290397,0.42229967841351485,0.4357320699099114,0.5864670064872434,0.4504668036302758,0.6647073243770892,0.5522432514998479,0.7214271901826657,0.5936727820822415,0.5893761740299984,0.5448499470087086,0.6233387136521664,0.6063284870545732,0.6215337029326837,0.649937831158947,1.0188185886012333,0.7096692075244027,0.8041842237140098,0.6018587661618936,0.6768779141591507,0.5821980334854112,0.5510953391229184,0.6289835660214308,0.49666088731038377,0.5077668424071465,0.5516021654821098,0.4494386520762841,0.37908083888288036,0.3487518695464935,0.32873144271528376,0.3136617584680388,0.33449086057531907,0.39172406025004913,0.3616574014515872,0.5194992267879694,0.492467594535932,0.4262504853578587,0.37472502669180835,0.3898765429201585,0.30483061677360773,0.30987834236432055,0.32262685568749633,0.48658459996488623,0.36037662446423735,0.34125259613411657,0.36908015846317804,0.36949715844435777,0.39954287722263676,0.35062450308385446,0.49808100065643146,0.4319647384727932,0.48455113955343604,0.6203146615278811,0.4057152409415546,0.3900918064444234,0.38466709073791766,0.6463028566381288,0.6051072373421998,0.43764721586932664,0.33975669303514094,0.3340021590572153,0.3596524940320699,0.31618269789983383,0.36034009401174594,0.38174075573149896,0.4452379491200076,0.6227727903159574,0.7783989589081655,1.3909043955137128,1.994820143054876,1.4033254821129064,0.947037125170787,0.6509216471239291,0.6732413180306849,0.5029429331644,0.5783316106000572,0.3546159256813311,0.36561219421137736,0.3332383291466755,0.35098282491671084,0.42467280132977,0.5486051342480947,0.47469086403332045,0.7493588002081106,0.755777449817597,0.7492096273103245,0.47714346337078034,0.39463178841549623,0.37326658884539815,0.37286271657549963,0.3974603242617003,0.5060141934337208,0.528987625425349,0.7382975013086577,0.4739804239279248,0.6023211656365464,0.5522589844786118,0.41309866023271113,0.3825548401037861,0.35515279216397083,0.3765975514380881,0.4205077678986768,0.4561152024990435,0.7670330951728761,1.9847590262023376,0.7981393006165389,0.8280963933964011,0.6320388581806453,0.7796343697920715,0.8224106557197935,0.5257045801704474,0.456066635580833,0.47502371601343457,0.42617655456011166,0.45922496953953146,0.5216804616325249,0.4666695485928887,0.5627162173024445,0.47831240748774584,0.4899493710890195,0.5128494618107262,0.509671328926646,0.5962679442823163,0.5638663262037843,0.6293806363771414,0.5734790867926962,0.6595070404152945,0.6773490628097905,0.6796636437865534,0.8078262731843067,0.8668772068673196,0.8726479741024312,1.084204876295075,0.9247371508635963,0.7559685869064455,0.756203402277145,0.7217651591817048,1.677624813904201,0.9555999180540949,1.6037857366032766,0.7413285474025546,0.7460356796066034,0.908802782961717,0.8447529628117708,0.7645597766615481,0.562358267021079,0.9702796203175265,0.6618903949037365,1.0021639278043306,0.5920188219777808,0.8878324368983082,0.8827440617246581,0.7755324841044346,1.1525864212645083,0.5747817524647341,0.5956343766485703,0.6338224110301238,0.7565795142023684,0.8810126005692728,1.1718248174369625,1.0166318862020334,0.7970174708117361,0.8669950365768628,1.1149123667594663,0.9717894289742653,0.7822114901954371,1.0427316254806724,1.1475118732155485,0.8278631810741425,0.8751432825413792,1.0427810004333768,1.0197264048852686,0.8354910206685475,0.8930269211200571,0.759884834209124,0.7610057524090441,0.7078217018324298,0.665132067080435,0.733566963058159,0.6039171170420957,0.6005023653707979,0.6085739205939519,0.6346926333335058,0.5440773487587209,0.6025520071092125,0.8092590032350874,0.707226119258551,0.6928646989062285,0.75775777482339,1.2217862643272484,0.938047868879584,0.919160094471215,1.0973849853938784,1.2320248548031363,1.468710091925037,1.093054609905457,0.8309483392852044,0.7538139799144175,1.0830897492400113,0.9862533789775936,1.0372470486294594,0.929207067437602,0.7127137401984873,0.540014205442013,0.44870731845966894,0.40270905754912356,0.48493043967587285,0.41624883545653313,0.605573280858585,1.2234644798811583,0.40515307603954454,0.548689565829945,0.6974397136950807,0.648739825053992,0.554566872197824,0.6948360842407679,1.3115631747335812,3.263827106723787,3.918080332824252,3.431045062093601],[0.541617677269067,0.3728868165247732,0.45074852874965005,0.40553231142616764,0.4130350273789215,0.36871389528718723,0.2541861778647053,0.42154686492782595,0.3296179520913925,0.271678737440888,0.3524464893465662,0.4889188505256529,0.3255432701889084,0.3025176922820646,0.47913738147495516,0.40212157552291855,0.3937044103267065,0.42220565804966703,0.44755881750950616,0.4106458608515756,0.5088873781133041,0.5159416399166203,0.5894771968230229,0.8694248883587626,0.6408052691387837,0.5969058870597488,0.4015446371906233,0.356033446596276,0.3438306630214669,0.3729029134824058,0.431169669700024,0.47965269716768005,0.5370362376380405,0.5102332718935939,0.4519064824902195,0.3884069375062056,0.4082119650801546,0.3480991024678197,0.3125467332604439,0.3327803393044915,0.5506716416236146,0.43278327426207147,0.42004907425931276,0.47660080414269285,0.7431796384569378,1.501048485989432,1.565566488143452,0.7105380815554427,1.5984460552415034,2.2520163615248543,1.117170333944285,1.246924682692558,0.7275391130607457,0.5364535051118464,0.9350852194582722,0.511188307481006,0.5359235909461492,0.532803781708127,0.6519107479490075,1.0032155130177445,0.5939726925544202,0.6159020639225712,0.48277512366507236,0.6093497106851076,0.5004313760635102,0.5325035003161215,0.6362885222542445,0.49216445408875725,0.6163498057618767,0.6242814440131055,0.8113086557195667,1.1854631467861139,0.8521835739351643,0.8071229427703809,0.5305989423427732,1.0761920989354148,0.4750180133548701,0.5283196054093836,0.4392844223073322,0.4349991172162223,0.4303219284804672,0.472642257644974,1.1390970204107294,0.5061485385418233,0.435168835486014,0.3482991000614507,0.3587491146998925,0.5049102603163443,0.3881424557219112,0.5908328927143565,0.4918162186919,0.6809721144485064,0.5482160419380687,0.5127574524650859,0.48145662248266,0.5653158801763206,0.5746197763447053,0.5572554719484035,0.5765464175645613,0.9027011232714354,0.6234302458265863,0.7338265333625059,0.5049027032237071,0.5998631777137817,0.5189391558038824,0.4984142856630421,0.5799361962564432,0.4485927755140116,0.4702248902457619,0.5176882238810664,0.4032140745472964,0.3194173649063158,0.28304413021496083,0.28627633414410397,0.2693632276942851,0.3092933701717435,0.37929182925416044,0.37893037763005394,0.4956394371814185,0.4854151202971202,0.43105290882132746,0.3771928819066634,0.41182652534777975,0.30678796878953724,0.29056039711503356,0.32277496545344575,0.4348767383832326,0.3234173938913503,0.31011318467667703,0.3473656199417006,0.37775227976507036,0.3908459973863638,0.362533766209476,0.47283638400738304,0.4488444624814451,0.511304016216754,0.6379682340642306,0.43179923681206883,0.41608205049516245,0.4027662893713131,0.658589991136081,0.6265872176449861,0.43168933914279656,0.33061691825327966,0.3009482254504929,0.29744940883470466,0.2594525831564704,0.2989795408021435,0.3098411242658859,0.3806208268161848,0.5564698591586384,0.7221846000644503,1.3068018614114858,1.8728818122745385,1.3284807131816916,0.8578383158989044,0.5669948962302814,0.5932430451711157,0.41714039909589956,0.5101820638051088,0.30023114702374176,0.2998909944419875,0.30522014565870836,0.295335078547656,0.3946828973244033,0.5696753324928486,0.4970738524684722,0.7719383549462148,0.7778079433722636,0.77841699852822,0.49598109474804447,0.4041613244017183,0.3696284738573596,0.3318573719374867,0.3283134332882187,0.4217147025870756,0.45743670007618276,0.6589577460606427,0.4013610820545292,0.5148047632943477,0.5214530564133399,0.34448157822217823,0.331563755630087,0.3367253741340285,0.3749803629189609,0.39576073417794294,0.3997156276788073,0.7446269127744052,1.9796646646577905,0.8021606072882757,0.8385581699696204,0.6490709706989627,0.804379636945873,0.8420879595703219,0.5527505025166964,0.47080603662507314,0.489717614377273,0.443668914857012,0.4797286274384732,0.5303850548535111,0.46726674644713045,0.538571917749859,0.4658216259895412,0.5074513398678644,0.5166061920376321,0.5145340145003908,0.6155738397418609,0.5746696392973645,0.6302493827727796,0.5880011715336084,0.656028216888403,0.6676289506357709,0.6802487223860613,0.7933528470592293,0.829007267029871,0.839157021245704,1.0494548182419625,0.8883786502189026,0.7430681313479237,0.7375463369779617,0.7039669291771914,1.6740963815693986,0.9062360959274286,1.5577292005987646,0.7503844337929096,0.7256133322630736,0.8819368136352987,0.81896953555583,0.7589778098857103,0.5631478660372765,0.9479962618119728,0.6696507935950018,1.0058519415401632,0.595098192021246,0.9011689631092273,0.8957343773742388,0.7929779780018974,1.1660974717126065,0.5832846232064682,0.5833465244236601,0.6069228977452108,0.7283320282788796,0.8430079793711094,1.104234212643717,0.9504632505225726,0.7511047858777891,0.8215103328214616,1.0412757811695266,0.9124961609570758,0.7483146063290599,0.9930850884566976,1.1019341654365573,0.8080286736212836,0.84302458759218,1.0033899332430696,1.0158373271709227,0.8204602082194608,0.8570582337461881,0.737052005165174,0.7357237680821063,0.6865708084722127,0.6456358741844811,0.7125866213338086,0.6051900198155413,0.6054518446003502,0.6085482959363625,0.634406328409913,0.5606680819460528,0.6134728756066711,0.791793924362563,0.7073806646343396,0.7099136193040636,0.7614132695662814,1.2170866373637865,0.9359423299244642,0.9129101430587145,1.0842992274783387,1.1959983199338384,1.4017686791059463,1.0607995901548928,0.8183796170965297,0.7506587620783335,1.0750856594728504,0.9804805706861618,1.0240288230311136,0.9416942383847584,0.7362018409843122,0.5638560826727299,0.4606470570879836,0.403628112617945,0.48420392794052536,0.4012186971132819,0.60101476585373,1.2050050251167546,0.4047853389876775,0.5533626549038294,0.7064006241591674,0.6083540532601415,0.5869690968770683,0.7277204733168464,1.4134477917009467,3.2416361536979093,3.6155451577209345,3.2489727690795944],[0.5131670161234311,0.39925405866536484,0.43674456202497597,0.39140915908641005,0.4030434846090047,0.39630802051348807,0.29497260875764353,0.3965650154614687,0.36697592035504606,0.2811241777622377,0.30487258474489165,0.4420763841956179,0.2825589486272663,0.30507889144599637,0.4268323465774016,0.3575525285506478,0.4006371705622586,0.4413978023976971,0.49334269345210857,0.459701600800622,0.5499603599152564,0.5516990704918261,0.6430249426408824,0.9183412526909694,0.7139379388479743,0.6626003950183245,0.45958534345709773,0.39654434348433254,0.3785180489554932,0.3749255011163584,0.4281041622253341,0.4298644164230942,0.4917382027878601,0.45819066188246627,0.4134980088249374,0.39891794935114633,0.3927946466308941,0.38702002248102246,0.37535669709124103,0.39804359474509604,0.6621557043749093,0.4800789451418207,0.48040490480625647,0.5490659904007754,0.8362917969408461,1.5770837637499708,1.6546255607711684,0.7593526566213359,1.671623818142802,2.2487821836143502,1.1622345783467192,1.2595714026525096,0.7690491925364176,0.6118616913000002,0.9152756542331116,0.5393053942516246,0.5680408758708748,0.538540003787122,0.6396385584406212,1.0604419330278048,0.6401134016231493,0.6108437638835404,0.4843839274220852,0.6452634559793184,0.5325025786600416,0.545519830028991,0.6569952512246712,0.5079339783153192,0.6384136771098005,0.6339961953311812,0.7944029540074184,1.1735315338560577,0.7998368092294208,0.804431985920217,0.5616289846670446,1.082525419157622,0.5155845135176628,0.528091779892368,0.448582837551712,0.4592599238469744,0.41279874238680975,0.49316377359107316,1.1388514789370459,0.483216707108263,0.5319869910818299,0.37116958086180735,0.4014209008282185,0.503492992357393,0.4065909326842923,0.5702038864620075,0.4941936261522178,0.6595648939134374,0.5446638227799924,0.46506504026626966,0.43593966765694664,0.5266822168607758,0.5316565363393712,0.49967671300989147,0.4925903739561403,0.7927354395513649,0.5268806711830231,0.6092682502456129,0.4132806847656423,0.5097984766803411,0.4756433715469475,0.45436527268689997,0.5086916602348367,0.45053191722737457,0.4628393734053861,0.5041930800407877,0.38154308897155514,0.32737550670147797,0.3118487273757226,0.3247053221644484,0.29799220616371824,0.35085444522509923,0.4035457956327672,0.4093673017655688,0.5649266312631636,0.5186770149873304,0.46961876949873765,0.40552946004277746,0.43340904433143584,0.33169609385005483,0.32183963408945493,0.3491877115161598,0.4520913222550904,0.3677198363955489,0.35643222903492017,0.37760185304618676,0.41739511186407197,0.41464351536786026,0.423627942004404,0.4803589575198638,0.4893331360865034,0.5606835525259134,0.6732782173925939,0.4467195601465149,0.4234876179649412,0.43679704534052555,0.6876196375175518,0.6550331924621905,0.49309777099227964,0.39348681316522477,0.36760751890147025,0.3664971593479665,0.3312048385187338,0.3313948793415401,0.31696951231719334,0.35597729587427035,0.49375099394835054,0.6609236241406446,1.1512353753520521,1.8120191837920103,1.303006528237115,0.7332648002316595,0.47901835117449365,0.49565766692012214,0.36238879698453325,0.45289116074712255,0.34277229578569657,0.3465587814395722,0.36736165717391583,0.3688542369940032,0.4808872844565329,0.6036547009455204,0.5635247687915728,0.8243874410609687,0.8139756442249012,0.7882949529926006,0.5392758088568068,0.43853053276785736,0.41588368199567005,0.3793434076578408,0.34239516858121627,0.3955024568826922,0.4247710054699597,0.648624729294105,0.37519946764131,0.48078244586553737,0.5029102730396086,0.3577091132456088,0.37818593877125123,0.3940825178566359,0.44127745062817947,0.4600269770319112,0.4701877033922994,0.8147445029993325,1.8960713256471764,0.9052095095854882,0.964737549685651,0.7619881040024464,0.8999789608000036,0.9122328078630421,0.6186518594932833,0.5212633577617556,0.5373111580712085,0.4790980922584399,0.4966889385019328,0.565717837427705,0.47663686363210783,0.4928837342360829,0.46318055568167715,0.5177056761740919,0.49502992238840654,0.5012184970722213,0.6099713775111163,0.5657873398091303,0.5940893465995042,0.5757377119924345,0.6320578067907539,0.6446717584325712,0.6594900927786178,0.7653613700462806,0.7798463430356469,0.7865527785765132,1.0480019885123477,0.8221912489351317,0.6982915025122949,0.6938938897982656,0.6627938506665436,1.5688448710621237,0.8548530468415004,1.5395019745622154,0.7527666928569194,0.7151539469597605,0.8620923944381702,0.8241618647072324,0.7729351206079561,0.5628432721436805,0.8897673688077198,0.6638827454964386,0.9605498714805112,0.5551482339834797,0.9353533928285721,0.9017390891723303,0.8155239198975157,1.2613903124681505,0.6020510040925888,0.5790724918502018,0.5754257532264275,0.6732109288883434,0.7840224005572021,0.9946529385596196,0.8691526846864569,0.6756383001007833,0.7486168328236489,0.951128523298487,0.8163608727972996,0.6861498417586002,0.8954273494163059,1.0030423985839214,0.7397727096945245,0.7696339232113969,0.9364829326341579,1.0064642145282863,0.7723480008953452,0.7922274599759513,0.6866045679358601,0.6746809457438487,0.6280895352345446,0.5916468667427169,0.6598756881721036,0.5713655594057828,0.573281870572381,0.5743272645632009,0.5960429070724874,0.5542841640031017,0.6080992699799962,0.7620212343561821,0.6802520345712056,0.7144854967385624,0.7457647034970902,1.2086795679567697,0.9283409948695724,0.8801080403319399,1.0776813374965772,1.14576475751508,1.2921985626574963,0.9786369861353724,0.7736880001776487,0.6925549924078394,0.9773432110499857,0.9070397811405275,0.9615844424643752,0.9204050894651649,0.7186023825997356,0.5744314373459342,0.48329445465772475,0.44120670205111656,0.466954547620057,0.4327342075696205,0.6643459869243673,1.2256955012743789,0.4770916863579015,0.5959822952212008,0.8390542811641759,0.652531873846917,0.6533821671535683,0.8126032165200237,1.5890520443026532,3.299123456133572,3.540843430268307,3.347100600646399],[0.4783281999283959,0.43849668444289464,0.3994525290358436,0.3063835594411755,0.37144939050666426,0.3264106751054963,0.20654509213107256,0.29003614176270476,0.3187232886030106,0.2532847040461475,0.29546788911549754,0.41272439847403775,0.2712095209974389,0.3211076090110167,0.39622973688717394,0.3515097256830843,0.4206117375945316,0.4487766836679265,0.5201398378819646,0.48521766733408556,0.6088284748061975,0.6161612422132462,0.7001879370884558,1.0391098576189841,0.7899480708461005,0.7333650545398713,0.5178052685243585,0.4298226452268176,0.3766981335863581,0.3623199167616223,0.4021317175697515,0.3965331110802513,0.4617148340996148,0.4421890863980024,0.37364979432760226,0.4063830928507733,0.36968226980127955,0.39615437558658523,0.3999686189969949,0.4454636657203286,0.7261217774845738,0.5231010996851901,0.5499043141096882,0.6359182741575287,0.9213483627257817,1.6008358929450726,1.75928218728831,0.8580491010804132,1.6520231747740541,2.239637007534867,1.2174672190911775,1.1829089543119438,0.7733043908770307,0.6804409810020842,0.8550537692484268,0.5579168418040655,0.6362108172709079,0.5781786318829361,0.6626804361344288,1.194137659153545,0.7062891764254572,0.6215522980358901,0.5016577287606837,0.6695341869248196,0.5890904450862129,0.5771462936487136,0.693805909529687,0.5092577778941334,0.6608060564052103,0.6283244624846366,0.7695474330833033,1.1313551076189394,0.7782408624405959,0.8239895302482195,0.5423058913035598,1.0218831108742679,0.5071872432560168,0.49893350701908296,0.4363485260135786,0.5045638242396167,0.4023259608844386,0.4642370478583437,1.0613918853668804,0.5093747306397602,0.6240668607629849,0.38803227176635574,0.4084634369563124,0.47508803309536607,0.43452155005244303,0.5512857006897737,0.46523883169609476,0.6481054153913819,0.5113696163109442,0.4259527450386207,0.40001788744499367,0.5126559438248421,0.5282730227305659,0.47379010009397293,0.4558611475070025,0.7046208749940707,0.4525626622545895,0.5366500833959537,0.31271646671227804,0.41201634685333205,0.43187056572937665,0.4062517300562098,0.45224416722774036,0.3789287563839183,0.3697576306478555,0.4386079441062619,0.28412982373928564,0.23714547724560878,0.2300657091735411,0.27695930850539796,0.28218974461214297,0.370747981270974,0.4557196898329796,0.45867302841949187,0.6050511060978044,0.5257024737998346,0.4895305904374086,0.4225900463276037,0.4571766060051496,0.3262018275931411,0.27501400335918835,0.3376552452795999,0.30431817264892824,0.3267845108539,0.31593470914357524,0.38918521401639405,0.47397697973300124,0.4634514819668259,0.5087564761781214,0.4750649796365829,0.5692474957723785,0.6470711323883866,0.7023239570398362,0.5470041926298533,0.453189517659307,0.48888918298125805,0.7292622124736,0.7432564816053412,0.5275757117618131,0.4290048319192135,0.40312884236140184,0.365279656101192,0.3324959907106055,0.3260510211393414,0.2604442194230918,0.29111928049440655,0.37312767878825603,0.5823582084157761,1.0042492269238992,1.676008492332402,1.2455189028765286,0.62558165441476,0.39887126650852406,0.38856435658113847,0.287620764636708,0.35897673997343876,0.33891232480084543,0.32781372193222025,0.3997139688789775,0.3947472238880878,0.48337421586855994,0.6521083350513552,0.6516098508243747,0.9192819137719197,0.9063222597698951,0.8666422308173443,0.6281981078033536,0.5062033355553908,0.46433607526641413,0.390752502669634,0.3261003146985174,0.3329943729646565,0.36472253172806424,0.5604728722903762,0.35036257851405395,0.39552966985636856,0.5086971852648963,0.3317931028686836,0.3954920445859624,0.4698140214528244,0.5361002022887638,0.5405982959214451,0.5246780096300351,0.8983935272044731,1.858526345871478,1.0500573546285321,1.1401327496689828,0.8791614161687992,1.02467907714769,1.012054720039549,0.7159600364241562,0.593884329216296,0.6048640586099606,0.5424515427005555,0.5258942270513384,0.585876094988117,0.4352277978943302,0.40127036418878764,0.39192951584978886,0.48943007510552555,0.4608885210423329,0.47743671256477427,0.5802921069904614,0.5501765895846001,0.5584555091732514,0.5620843664791096,0.6208427696813568,0.6327621195362323,0.6638017214555587,0.7368158900682761,0.7615131371227457,0.7771723743575232,1.0351425735601198,0.8041225700399561,0.6831367799492941,0.677245120908345,0.6460305643124173,1.4485236470163012,0.8413833097870921,1.5242424316679524,0.7396685362531947,0.6445526761192505,0.7858419378150777,0.7684967567733142,0.7582985815697273,0.5530228755736488,0.8377619090977809,0.6928842763778069,0.959286930399683,0.5822498281756777,0.9771012038093453,1.0141494252931105,0.8705418002657677,1.2836553011016238,0.6076511615208562,0.569082245560924,0.5414164700869764,0.6287031058060758,0.7322270224619657,0.8400237937836749,0.7355379787194929,0.5908572227976188,0.6567154835662163,0.8326138407665412,0.7099134706217665,0.605924165130218,0.7986222511322625,0.9221969974590267,0.6869324186743904,0.716846200583279,0.8735187344362921,1.0075485808469522,0.7450382421148415,0.7517060255602124,0.6462607484986133,0.6237819258782387,0.5667017221056141,0.5301402177009518,0.6273654947059113,0.5433501736690575,0.5346731017478352,0.5611711106522179,0.5892269968870656,0.5542791628938409,0.6159355039554069,0.7909257979496636,0.6958787938551491,0.7408294181976663,0.7760508422629021,1.2718103127740323,0.946746924562593,0.8744468120443212,1.1151151869775346,1.1556878986575687,1.2656935783001575,0.9517950115942918,0.7601310960735824,0.6603425265068985,0.940869988946486,0.878913445099919,0.9570463241043726,0.9180879137458702,0.7134066247319174,0.5731393995975713,0.4770299246658538,0.4129416836727367,0.38554418827237846,0.40725775389745494,0.6593842021972287,1.1077359770204125,0.5358375516287948,0.6053470895156746,0.8555670863738243,0.703990285836374,0.6557595456682771,0.8936131044311276,1.4488729915330585,2.999679578653514,3.035843833599808,2.9760767315412737],[0.4817392898022814,0.5227678327818437,0.5198265970623464,0.37023303458351814,0.46055041853005807,0.4031467120694937,0.28798239713009144,0.31366029486392155,0.3370331332729975,0.28879976399081997,0.27280337065698446,0.35852156297454724,0.2949854809803953,0.3062825628643929,0.3468377115668278,0.32673188273957565,0.4136989238741503,0.426117769445187,0.5088711930409673,0.4833183268335026,0.5912957567147462,0.6137826190544202,0.6891098766825567,1.0294037413278243,0.7844119045620179,0.7239201546680522,0.5283241985314877,0.4405150121651903,0.3873127568531843,0.3678802546488028,0.37118745089897814,0.3837345362024507,0.42792059553232503,0.42309114858226576,0.35948945356197914,0.39041563575342547,0.3899357251340369,0.431534951746514,0.4360342765750336,0.4872231569636074,0.7596032820951388,0.5334374153750246,0.5705371063648185,0.642765657327593,0.9195798000687345,1.6158360735429405,1.7570524824453286,0.8695416596816338,1.6785943263068024,2.23537437831193,1.258979109503198,1.1823063478747795,0.7887916855291055,0.7498826808453205,0.8885392963137222,0.5911304135905288,0.6500549856306663,0.6103256031540707,0.6824200986367548,1.2102412655364627,0.7006601639054494,0.6110710909253912,0.49646791521926265,0.659181683777877,0.5781913324577166,0.5629693107267814,0.6774666986751768,0.483446774539935,0.6273788516472542,0.5965986533634834,0.7338667802469235,1.078929392937145,0.7398536917159063,0.7833535959667145,0.505386537585553,1.0298152283620812,0.4790210933283499,0.4721121904371535,0.43472252163157815,0.5083073537182354,0.4122772859606458,0.4844761145680614,1.06149487235507,0.5517742340818236,0.685905770393083,0.41882751800475176,0.435450282247379,0.4841919202345254,0.4302985281075047,0.539863328339598,0.43204335196464455,0.6364091419703167,0.4998088470895534,0.3920567784928149,0.3665132427302963,0.4956948847903903,0.5177607338400472,0.4478467652019275,0.42704335946200345,0.6443519362492851,0.420508393893648,0.5027295952304779,0.35438256610007607,0.42585860044013696,0.49549400998072785,0.45964184395670477,0.49625497060145374,0.46152515515852716,0.4329414258149392,0.49404263650180497,0.35797594467270616,0.32417969691439413,0.31584778657986173,0.3464502164584209,0.330830350771407,0.4043747879565872,0.45694834306989707,0.46448325645575633,0.5833967848242736,0.5102790642538598,0.4758888935280214,0.418680916819765,0.46729911627154913,0.3668332101016167,0.3318546963463043,0.3986953567683597,0.3094828721127429,0.41066108526506334,0.4058860678809729,0.4992987304263814,0.5669046300281889,0.5579493438441048,0.6058682296908648,0.5493321045829689,0.6580406826512594,0.7161983072125527,0.736083309192068,0.5904362092213888,0.4933889228407841,0.5458592515980727,0.7562720698272613,0.7556012722090159,0.5510004014706242,0.4639687027070513,0.4379152495757489,0.40167625428478665,0.38156541408990297,0.38558294959210104,0.3222420181256362,0.34321401503659166,0.38338211368739683,0.5734073445387791,0.8674029934818182,1.546949967110999,1.2218796744563611,0.5775987606279698,0.379696822800079,0.37599532806005953,0.307605278568153,0.3656106645436935,0.41340811457371024,0.3906077051746256,0.45344209833320376,0.4517309830866305,0.5313355674957587,0.6889864604433206,0.698195034469995,0.930950016018155,0.921212860765038,0.8791185616209654,0.6849685839461184,0.5678695085102754,0.5324841206133419,0.4659500494875462,0.3961958910989778,0.38419863603556736,0.3830233422532218,0.535000178482666,0.3979534339775551,0.4173707236243952,0.5593698326752417,0.4147181993421182,0.4823621505052424,0.5567291789515353,0.6086589015320745,0.6019332869188667,0.5697619373837824,0.9600189637475787,1.8156442370436585,1.0973956995380327,1.1894411252785286,0.947595446688657,1.0855144428435508,1.0673758255324284,0.7864864551256981,0.6748594106871453,0.6783803951934012,0.6190168998511044,0.5961020924637732,0.6506432451076175,0.5131046954127852,0.4628765722310744,0.4706896858773397,0.552238933683344,0.5246688625845146,0.5473920716778096,0.6177821253941254,0.5934542024086829,0.5856316656972389,0.6042275258958528,0.6438501390133421,0.6431175308826095,0.6755673819042151,0.7627859544701288,0.7576076258779258,0.774155083529986,1.0054386985664796,0.7792840768702046,0.6793319534988573,0.6772812599093782,0.6394430356212096,1.4077667841917674,0.8040847952136642,1.572334066687461,0.8007863564428966,0.6698706381976111,0.781401441106176,0.7972760966710163,0.7482380472747708,0.5979121197539994,0.8556344219101801,0.7421023419606498,0.957328399719079,0.6254983296058134,1.0484670399562241,0.9861234073782733,0.8753593519767241,1.3049928917544023,0.6410690530527955,0.633261828267246,0.6264863775958577,0.6907692825548354,0.7811320366816279,0.8277054031103109,0.7727751702513093,0.6521576156330787,0.6926545028128007,0.8356197164263592,0.7350813960752672,0.6338205356051781,0.7740313982792065,0.8791799535778804,0.67560591468131,0.7023854276308474,0.8285429511327662,1.047166833407198,0.7267378206476585,0.7137633597660372,0.6375034459179755,0.632454368300941,0.5915473965856584,0.5615736196514919,0.6355985157435321,0.583956098484299,0.5758742366293568,0.5828712431412478,0.6007390154641283,0.585359352937554,0.6421367287475763,0.7622509132906241,0.6882331107375057,0.7402411536803792,0.7843751324313747,1.255234422740398,0.9736511640452656,0.8621189228589432,1.1374712030242802,1.133162859298283,1.1392673393756565,0.8942941450938425,0.7423925437342043,0.6674433744581978,0.9079671633042501,0.829228231835669,0.8875891916305497,0.8814475773193542,0.7160857295304912,0.6156265183659088,0.5501920014928879,0.5105006286472284,0.44385370729224854,0.5098188344940429,0.7742591277343408,1.179735992676666,0.6791329307527929,0.7126489234782772,1.0392780533653831,0.8988783012416189,0.7636215882332019,1.0270807470611316,1.7844415834846032,3.15246399203051,3.097195914348976,3.241935355365615],[0.44581754543507773,0.5157025609677572,0.4894747892062076,0.3669366643976274,0.522024327376492,0.39917026943268585,0.3292679698424055,0.34210849269548754,0.36030151067784266,0.35942728557272263,0.34078514017063893,0.3925694630606299,0.40567214496434834,0.4095097281073295,0.4553245699044289,0.43557335222286137,0.5306706068234048,0.5293002568897509,0.6338585308873306,0.6147279610173774,0.7251866898248995,0.7666338569729608,0.8230963900902127,1.2347982358663006,0.9485601632481113,0.8749967700483093,0.7149153283026303,0.6036431607329756,0.5369177555452026,0.4948822234219819,0.48398882513013114,0.4744472395270957,0.49040721600279463,0.5074223876636483,0.48226659167064606,0.5239827151842419,0.5415039307412973,0.6002624019765191,0.6397314457423489,0.6995465635508217,0.9492967012736998,0.713058873943188,0.7591644260790107,0.8351167594987078,1.0775000716188532,1.7036145403314322,1.9543277295618104,1.0655128495904083,1.7532970483337458,2.2892086909251415,1.4124443656811296,1.287716387337949,0.9361012881952412,1.004753322095457,0.9766991074568855,0.8088991103097933,0.8460753875127478,0.7701411306086728,0.8009806888359725,1.3882717677228535,0.8736887481428812,0.717633513403158,0.6375753725805463,0.7943153396794795,0.7185236054421456,0.6716094485621285,0.7503758527215361,0.5863143268693685,0.7046877708225874,0.6743444790451447,0.7348544620234837,1.0565629229610476,0.7685165737061568,0.8624370611907962,0.5926316819174722,1.0099380866717829,0.5997982676937463,0.5662739174914891,0.5686750294551147,0.6691263651288831,0.5820828554693678,0.6447583019429426,1.093096285820943,0.773524980412657,0.9153881126974833,0.6049420971595275,0.6111101111540655,0.6184272681959748,0.5768609156189476,0.6093644880168307,0.5213952378929306,0.7071357800871295,0.5952101660173916,0.48705060130972516,0.4530914696965402,0.5655996258521215,0.6163685763796962,0.5083451935519324,0.47640875034470254,0.6266842576620811,0.46366907104609145,0.516265065342106,0.4750879560077472,0.47749660093125756,0.6380572531305397,0.5640292455206682,0.6196947273246513,0.6082211015245776,0.5190006653217003,0.5897339082522008,0.4392685006848836,0.4578505733767125,0.41100809329513427,0.4923288971925545,0.44786900423424336,0.568551952421822,0.6097425417730389,0.6747170813929498,0.7650350921602234,0.6355805566909495,0.6359740255225782,0.5534455221804615,0.6428192443728501,0.4983043456992961,0.4384974735220303,0.5267920408696859,0.36577444913495855,0.5230739653707768,0.5347233542622908,0.6533918414778281,0.7330472634118947,0.7282576170175946,0.8009103094646067,0.6998469935563463,0.8278198289213529,0.8889399400035408,0.8634654087135041,0.8018242937594213,0.7107796865523955,0.7751549185595791,0.9392041743630117,0.9877499862722884,0.7499482427164882,0.6826994619326563,0.6525390661508733,0.5958502703331336,0.5767384033015431,0.545163089236519,0.4700763785655856,0.42458962388932425,0.41257848482007164,0.5338404657669736,0.7699822613430038,1.4623792473116715,1.179359662495579,0.5312060236879478,0.40437159983569715,0.40383898284982284,0.41010224711202853,0.46798237498291173,0.5991567852075098,0.5857138642050381,0.6727765863700971,0.6685138772514723,0.7299578716300712,0.8893233423028085,0.9105786810013077,1.1472868481904914,1.110865486761097,1.0504449462830416,0.8772307447089932,0.7627173853207273,0.7287118606234282,0.6717006132654331,0.596295595099322,0.5352797981746785,0.5403955577518297,0.6324134385167933,0.6040074807941567,0.5602052419605501,0.7753535237999772,0.5930524886079481,0.6924915107733616,0.7737998904536718,0.8179039007538305,0.832600604147858,0.7904702206903853,1.1656734889610598,1.8280626028982425,1.387079846910534,1.518621935382861,1.2032954155989404,1.3282144206457456,1.274099978676887,0.9960671114929353,0.8731396516420774,0.8593335652816843,0.7974500403648072,0.7266706732495003,0.7769174246481328,0.5958593540796251,0.5414093315517043,0.5415744031984917,0.5929610604468248,0.5598221616650434,0.5790548755691741,0.6171935807369653,0.6010274852258114,0.5918107488259059,0.6095303576981463,0.6345337959815784,0.6353555619045699,0.6848092444818257,0.7351544317034291,0.7424576730968823,0.7408417477896923,0.9719575687414436,0.7310455669788927,0.6560915739906442,0.6543006636341274,0.6243461239437365,1.3105882197432732,0.8130442015430365,1.5219139369779047,0.8300874560095807,0.6988916576269254,0.8290397056465484,0.8614389267738696,0.841664740210774,0.7084267083264023,0.9196052355938048,0.8556293611034117,0.9987276066154565,0.7485328981907452,1.169708054699812,1.0924589301329257,0.9734574813650687,1.3630517602315462,0.7357492029399728,0.7869822331837898,0.7472844409515722,0.7678511136409596,0.8537273606793572,0.8552260222718564,0.8330452158085127,0.7321027490656411,0.7214844626867702,0.8535497423870139,0.7688564476341198,0.6566211092443626,0.7549491751277599,0.8565875186258913,0.6690617300647274,0.6895176548882822,0.8061200066047759,1.044602353185008,0.7223009925455608,0.6980420582413697,0.6123396145472761,0.6106078228459346,0.6120375687813339,0.5772228368238632,0.6277686628877923,0.5873568890332799,0.6061530191791028,0.5965005354901957,0.597645965739057,0.6212122448740807,0.6925856326250225,0.7860651672206018,0.7055091777231448,0.7873018473338791,0.8293247780925332,1.291737748563892,0.9954508827819987,0.8478232227274013,1.1671214110254113,1.1234758961363012,1.051343803182414,0.8318678449156037,0.6884318825089639,0.6213143168918693,0.8364837414431777,0.7697632807762147,0.8621598729351064,0.8974330974095188,0.7578642702495821,0.6897671011414546,0.6588080930055942,0.6133225362903426,0.4614095100821369,0.5642994458357762,0.7707326295992626,1.1580939822899843,0.7609578021166539,0.6945828171679699,0.9966248156268561,0.9755688954254407,0.7186476599544754,0.9959085141028801,1.5936008282645249,2.9026394783050566,2.72832432745085,2.9443842483533675],[0.5000038580263833,0.5545729140194784,0.5703930395171165,0.4313834236986413,0.5355658570750418,0.47201428138585855,0.4346709416295156,0.4741388118103622,0.4787318327942956,0.502729503615096,0.5262118442048035,0.5688723905869243,0.540660167617576,0.5366422478396173,0.6011829210051073,0.5724623157627203,0.6253040414234468,0.5967306252833504,0.6640266096365294,0.6740971665113973,0.7773365700987729,0.8056112938807941,0.8453847094538254,1.254002218445423,0.9596715423999879,0.9079477180872725,0.7585492301460116,0.6510031656769261,0.6122276565665296,0.6193722112097291,0.5966870053451037,0.5944752531350357,0.6470979984831893,0.6212598230110327,0.5927061734843466,0.6323698035307952,0.6246747114892724,0.6420945121004086,0.694776294302511,0.7429929893069779,0.9766334075821371,0.7553033241625741,0.7974479076449037,0.8590537131831985,1.0887424203986182,1.7435352837584936,1.9145375555781878,1.04529077863296,1.794913516716459,2.2159685610774553,1.4207732900342802,1.2700470480256754,0.9412594843611829,1.0118835323945312,0.9986671628595348,0.8452310351931812,0.8710287066352252,0.8303155081937594,0.8552421167045112,1.4262220105294618,0.9074694885965798,0.7614899213811467,0.688301321436073,0.8490366378878093,0.7603167871784714,0.7328486416624717,0.7967444926383834,0.6386685474328423,0.7341038079685572,0.7256026362581475,0.7591075903299711,1.0631233172796273,0.7982194886150024,0.8800658622735813,0.6495242510820977,1.057421161035257,0.6609872228732332,0.6564927686565883,0.6463391952874835,0.7380198557868475,0.6515701269639718,0.7094093788808022,1.1622601721637977,0.8330700774409675,0.973350554140981,0.6721311550898591,0.6796336929995823,0.679754381749993,0.6623924007481906,0.6954067690930196,0.6088109219913845,0.8131733718051997,0.705191187348598,0.6100844283857924,0.5792827879096101,0.6918203690539759,0.7254147857941062,0.6483113904381176,0.6254960930041176,0.7297262227521336,0.6233176403266922,0.6291702458797696,0.616483734263633,0.6028951659823504,0.7169687675177949,0.6423590835456189,0.6837502169288405,0.6634753702053413,0.5621345491477736,0.6484847395741251,0.513431622094426,0.5242314224106072,0.5192092063237055,0.5268812707320276,0.5235515932283186,0.5910562427828565,0.664846026177981,0.6737601992711012,0.775571059749366,0.6706936699665241,0.6688677734396419,0.6256902082435393,0.6425383832216389,0.504431082998577,0.4699801596848038,0.4974144124211945,0.3911900276269145,0.5340143092710601,0.5302125309010842,0.649533116878343,0.6971189196930012,0.6929058999357631,0.7553269027166319,0.6821374349598035,0.788548452184124,0.8225475429440393,0.7829452684379322,0.7158053456735155,0.6365127480886488,0.7365024533120975,0.9169859338951774,0.9542159709078954,0.748315368627676,0.6811500732183838,0.6570689982428404,0.6413048942453001,0.6221973801737238,0.6352466592852487,0.572298112166461,0.5413610659143361,0.5206542587739197,0.6269007732385932,0.7661574597746217,1.4563644155127398,1.224825203232151,0.6340992412034102,0.5592632470665834,0.5494627856486491,0.5532305432987652,0.5830902278182095,0.6513962011327387,0.6400259982903992,0.6746007679381644,0.6825293978234545,0.7167947926122917,0.8332597498067553,0.8445121449689081,1.043839367740935,0.9905681016680558,0.9361527969109619,0.8083366577154933,0.7146701050757014,0.7092305916086112,0.6849703740768284,0.6503623353161156,0.6242156009541935,0.646424693245154,0.7324767469675492,0.6871685910719139,0.6428024288374733,0.7534110122969503,0.6401959516913684,0.7010459353648059,0.7513627508403059,0.7941444815346952,0.813636431930054,0.7893679126180793,1.1874331966234577,1.683531110924413,1.3136233914366187,1.4033554128206427,1.142158648522215,1.2456062682956792,1.1905971688408297,0.927681495866099,0.8268908540327344,0.8256446188841354,0.7542765428672318,0.6979071139899266,0.7592925632408655,0.6163993839744332,0.5802430509063475,0.5726634990268656,0.6013311389051545,0.5815392226200973,0.6093396647426212,0.6327681033070413,0.6025665724690343,0.6091087972939313,0.6149099888189117,0.6341747582862045,0.6359079160925493,0.6852212118323074,0.7449500399405992,0.7350437681158815,0.7333943112466411,0.9587765828765058,0.71551358134639,0.6404814568180981,0.6487445958280564,0.6317004279657432,1.3464560705327457,0.7841874023165505,1.5265772287724018,0.8898079044708292,0.7210460982854984,0.8035031279635866,0.8606516361074705,0.7641957236346657,0.6871641955392391,0.914775027360924,0.8523987049968523,0.9639406642544726,0.7216976522677092,1.1708028758728886,1.0359233864008661,0.9315198404460691,1.3334272948191022,0.7124923225270545,0.7735766651232958,0.7763469097420133,0.8223243705463582,0.9117266717037543,0.9110076782126197,0.9167205999161361,0.801180495640537,0.7846881491265316,0.9211570420590296,0.830464757705936,0.6954149347243231,0.7953005785374733,0.8800744674406051,0.6890018021977804,0.7261049332336242,0.8308931646627237,1.089713037907821,0.7406059291183332,0.7152667583095891,0.6407527571365631,0.6625422851252145,0.6387850978264896,0.6315592966243833,0.6397891180285027,0.6103542812326888,0.6235336149916872,0.6053137131298513,0.6134337510835153,0.6245764364927219,0.6741294487124317,0.75381840751166,0.6818864435617502,0.7507765981147603,0.8125376529379172,1.2313479599213764,1.002557345271676,0.8263616468350288,1.194975216957519,1.1222263925608449,0.9935463288322404,0.8180728230416779,0.6818040796599023,0.6292235057022619,0.8520972939234667,0.7495781655810445,0.8121822709492743,0.8664264471063433,0.7159666842614576,0.6502156185680416,0.6373341462892251,0.59752130999258,0.5136124961218598,0.6308650616258089,0.8590102061765783,1.2939445514785854,0.816137534518562,0.7660150402327562,1.1728322696540092,1.083047636018772,0.7977699070425085,1.075574599134818,1.9593772212342728,3.213474025593991,3.1525085202015375,3.4978815384750885],[0.6834774304953946,0.7164340920384452,0.6875655939373674,0.5843237589027664,0.6899851413000428,0.6189762352475466,0.613509777751019,0.6313644976533433,0.5884990950076113,0.664918004229807,0.676750006243321,0.7153106186255637,0.8008484584292935,0.777382811369711,0.8928853298038831,0.9131611189801057,1.0322622355189164,1.0822645574710024,1.234141561318211,1.235480622853777,1.3721633297399685,1.3902711373626704,1.39049567138647,1.8545333661377235,1.5000195934359926,1.4620374674150096,1.3312412496639543,1.2033853574260966,1.1130925167214905,1.0417234902444932,0.9852163235795003,0.9322941323386822,0.9444075146696684,1.0082438402283886,1.0122444071836605,1.1059263387579183,1.0613483880112686,1.1433307430646262,1.2392559802617689,1.2950135440851556,1.4633696140906556,1.323366826838148,1.3560072675649208,1.4133013742558922,1.5772104485071456,2.033170240234832,2.2698086208490036,1.5175928983093878,2.0802801997885667,2.3715617675646405,1.794847364780103,1.6500618635688573,1.3781480296521853,1.5012922390189112,1.4423712958237207,1.3931667572004254,1.4137858121571836,1.3978243483235577,1.3948778090258551,1.8776681178663115,1.4595647460083627,1.300347390013243,1.2381727169973094,1.3645955045554106,1.3462997190314454,1.3076344768151338,1.346334447641907,1.1706662388595304,1.2380028036503017,1.1487636672552346,1.1591350642629568,1.330358915260023,1.1562829738184974,1.3235509431357617,1.0969652808447985,1.346635651725751,1.1778815101434046,1.1545430668192613,1.161994881490453,1.2735403180963036,1.1548935040084771,1.2314274120869237,1.4622807872416301,1.3384043156818024,1.4641697687057726,1.166196157201893,1.209792669943786,1.1181882259704057,1.18371840587225,1.143210427635758,1.0793553042543496,1.2284993070422563,1.0723162846897838,0.9443070109130621,0.8912641380458085,0.9287515798210825,0.9101439711318804,0.868542318336239,0.8214597226233326,0.8742268614571219,0.8576261331316606,0.8479390032931892,0.9322624941295045,0.8860865350622562,1.0828435606960263,0.9283409200516355,0.9430697516113993,0.9318271735875263,0.7924244618072817,0.8605875857205094,0.7286668712550655,0.7926276390871263,0.747782261745096,0.8353661668168826,0.857895326452216,0.9758838632413162,1.1463622573251808,1.231533707607775,1.3338184726923004,1.1923860979581578,1.1918711667059592,1.0277965473142732,1.0134259224358637,0.8284330367752598,0.715148751551001,0.8008222348378156,0.6310551627218295,0.8057823317979759,0.7873941254760775,0.9375301434712349,0.9667412760436961,0.9837104126995406,1.0919240149187845,1.013577842289744,1.1089754056660963,1.116212153381999,1.0393215847355866,1.0571472297337479,1.028065801072809,1.1739370779348397,1.3786490849358475,1.4828105724930372,1.306873607415187,1.2191434766949516,1.203619641946642,1.1460351417595105,1.0879282144977858,1.004779862985097,0.8904079938722308,0.7888183111447334,0.736099472200812,0.7917079479588972,0.909270519474837,1.5767178262543393,1.3377228647672903,0.7802074390441995,0.7529767423748717,0.7725993077732816,0.8619213257181904,0.9014660049662496,1.0346578412106608,1.0966735049274257,1.1608119451075825,1.1887007253655144,1.1905209388022866,1.2548403712761436,1.2612648772173993,1.437964007562287,1.342783314812722,1.2720806988017601,1.1743337724204512,1.1101358106310695,1.1425697575420437,1.1280150995580538,1.0972610179038447,1.0377494135431902,1.0428045516094648,1.1182917492272133,1.1565071779171499,1.085931496640359,1.1805859476729046,1.0384986252703599,1.1187844419183377,1.1840340710459212,1.2170878371188445,1.2938206704040671,1.2914108931529475,1.6157600465956177,1.8018353645464074,1.7360353028916877,1.8287726649388087,1.5608957595532684,1.6247105544654132,1.5147603690532616,1.2661755370379995,1.1589271803660275,1.10320051142894,1.019223372494179,0.9315108190105735,0.967115708293649,0.823430942192919,0.7397127111863365,0.7534491740195868,0.7771474451513648,0.7235343364055493,0.7266979231577263,0.7678938478010694,0.7367684826463174,0.7035255645815943,0.7302538571181146,0.7614406828777186,0.7533676081449375,0.7658875559550796,0.8563399378503916,0.8781281592123136,0.8862012222392209,1.022898957611009,0.8849230031472659,0.8173851435708935,0.8120831330402383,0.8125032804910278,1.3976331300605105,0.9590063032877995,1.5708943641307473,1.0402544513252452,0.8786339985522011,0.9268629739392641,0.9901160149287422,0.9415838179528613,0.8929169036980655,1.0421736345517894,1.0547293070293822,1.138552787585344,0.950429634510387,1.3536526703808456,1.2889411473172558,1.1295521612388777,1.5272128805294585,0.9377617277028341,0.9910283427420481,0.9507397961048583,0.9039717361547994,0.9851899452455173,0.9757569414900696,1.0157263519041042,0.8804773852184674,0.8355712927870448,0.9663547001318178,0.8931164828818781,0.75301451176696,0.813404759146264,0.8857185580225424,0.7276708469291377,0.758951710745061,0.832656052767707,1.0602456888742366,0.7778422178490872,0.7520823459720632,0.7164546925467181,0.7284109643642537,0.7191975834410488,0.7497147364223277,0.7494287194022127,0.7370632429570729,0.7866883337354945,0.774264354775057,0.7804477328372392,0.8064231704176064,0.8585644947067419,0.9558454977940349,0.873204406103413,0.9578870581609435,1.0211743080970344,1.4189312620011623,1.1939220976105165,1.0218528552527184,1.3744487549549012,1.2474949602199217,1.1766264404134519,0.9955647258118064,0.8592136164425986,0.7960546197842292,0.9892383089866278,0.9259286097450622,1.0072589545484114,1.0228058937804918,0.9027358592004406,0.8467173744868118,0.8456394092463718,0.7943012317044885,0.6527285093148275,0.7557361095340489,0.9066869161466472,1.3698469126620878,0.8947585944180521,0.8101075201995211,1.1377214693889552,1.0902916298153045,0.8465378910342025,1.0967353842763417,1.8517324693093238,3.176669681217638,3.1276863995157993,3.355034983517126],[0.9398004483495961,0.9104539083096923,1.0035235760516112,0.9068855699165523,1.0842722879792084,1.0566776709544645,1.167288567221798,1.3648812134293156,1.2920846270851505,1.4921233561009712,1.6457808445340685,1.737393224341303,1.8427280876087928,1.7937280820605792,2.0487631063834075,2.088205365799394,2.1180381789391127,2.203704568543362,2.137167931783352,2.1524257338471804,2.1229730519153254,2.074930262449375,1.872251683174868,2.2820303355971108,1.9778884651547715,2.0238505379733853,2.0455977542310713,2.059622158334345,2.1616595734237114,2.1505062114079627,2.1907078170760963,2.129988398112506,2.1401387047883826,2.2446021479882674,2.2050814993378443,2.2309000394579512,2.1607276978242265,2.0561496628024063,2.064187184210717,2.0427757453021713,2.0971497977374285,2.030213054268906,2.0384838379293955,1.9437413588951356,1.9675888153288656,2.33858920716258,2.481032501002181,1.9279324745545123,2.419659697764576,2.5772658768995265,2.2351643383447577,2.0934888615493326,1.982973672841367,2.1563163404304517,2.1484276504763984,2.056175417968003,2.033798326500135,2.2211294188498902,2.1719400857274818,2.3992139103809293,2.1459970741337195,2.086819117942593,2.1609904045646364,2.11277231615406,2.0651784478723645,2.158826192076521,2.1513232341203694,2.1942729177822504,2.191613579127897,2.2305142911838076,2.1114852982484815,2.0241335302942614,2.089309949243482,2.129560384735511,2.176759631945834,2.1858200656574467,2.1906789871799446,2.232700642556256,2.233196867666776,2.251664205183107,2.1864993892023974,2.1363517722575542,2.279772705146711,2.2068237198971934,2.2113840343825957,2.101694334097333,2.137507819610036,2.211059578510487,2.252761460863696,2.270151701466792,2.24417530535703,2.320619130954244,2.213892106715482,2.169909397232829,2.1245055800129684,2.0801730573357404,1.982210817435913,2.0321055764871025,1.9324962569748285,1.827992204247558,1.9940614577151174,1.9098114597495435,2.021545983460711,1.8564562974898005,1.9546482083389929,1.7248305824205952,1.7355387677945078,1.6140382830512832,1.4314064617011368,1.5799351511826094,1.407845601288098,1.5291646626441897,1.4813396467512199,1.4972514612472954,1.6660813137500448,1.6058667030148557,1.9481001635581023,1.7412138764556824,1.9624289723752397,2.178303987809732,2.138318268950475,1.9037602533786706,1.45603154635469,1.3375645219607801,1.2541297143856451,1.2757582639176697,1.1866417068089647,1.3682596449882583,1.382298599764931,1.57662588355318,1.4572094809512275,1.5154414175512698,1.5813623426375978,1.627876910623252,1.596454368307183,1.5999831815647259,1.3766449390061382,1.4003495529276986,1.3258930633146815,1.5642634938165039,1.5455443923562544,1.717791567145077,1.8073038747558086,1.7795568851743158,1.860379448339846,1.9969534614144668,1.8697399541513913,1.8943710996705154,1.7725869344244345,1.644502774619809,1.5862179882910368,1.5428015549052299,1.5758788322073878,1.8227545570077055,1.8315937885639655,1.7092072434377288,1.7715567024584358,1.7396566604218044,1.9152988041752246,1.811463077897092,1.814513945086038,1.9821812928106615,1.7976475444575966,1.8947117952253074,1.7226702554652662,1.5887239705309533,1.5914766643058018,1.6117989971313398,1.5254306554308132,1.482981325237185,1.5199980873344996,1.5365412381945058,1.7229445350219403,1.8385235557059316,1.9331620026164018,1.9538635135914433,2.025539679260524,2.0768416530853675,2.048275408626821,1.974410434181736,1.8760537258850947,1.8090514685055463,1.7868260399301379,1.7853482466209734,1.7750276445888669,1.8971622439146818,1.915051002520811,2.1427454391335923,2.023454502898645,2.0958448873529667,2.1300902627917457,1.9573608299456318,1.9370043274637545,1.8407097609739205,1.650988436791095,1.5432103103403818,1.4892804404824094,1.4449750308100608,1.3633909418025163,1.4547858957242814,1.32122156460139,1.3295199323018136,1.2854514091349722,1.1976181708353313,1.1929776456971282,1.1806027159814323,1.0809299316446759,1.0716759543911565,1.1069505460795943,1.0180561309260896,0.9928232553825072,0.98056622923883,1.0121134668835918,1.0198680468910166,1.057317196737822,1.0985374399484868,1.1506039808928046,1.1115880498194388,1.0749925575041555,1.071492779067178,1.088738694161243,1.5234486896892652,1.1856063505936911,1.7681955722502916,1.4286623641558354,1.3275593608104728,1.4099703700313888,1.4830628019435887,1.3448995353216573,1.3241243327137946,1.48567470157171,1.4799914455149095,1.4924145698273055,1.387068228850037,1.6945154878366748,1.5355307337634798,1.4424342217971955,1.7516937018333227,1.3455812042476911,1.5079664946351556,1.5179734888578478,1.4812029044045971,1.6440726852417733,1.61478166079495,1.6892957610457597,1.5420179943518582,1.454447815325811,1.618553657073458,1.5673494852468035,1.327653017089923,1.3746562170159742,1.4114674337166642,1.1895250303119405,1.209507401540832,1.264488127277266,1.4214912419281898,1.1073755453172958,1.1112871252661403,1.090937837934382,1.174187382352854,1.226748153821086,1.230756193082448,1.1397242711077304,1.1154592075680738,1.2039160220135308,1.133297933438367,1.1127274468039363,1.1749619758925778,1.214935030995354,1.2292759894917138,1.1846870371418294,1.3019073904510472,1.3268661022230923,1.6709699655654748,1.5021520107254025,1.2776608912612322,1.6164039286326666,1.587468661023661,1.379101836531116,1.2374934528307568,1.124007871417424,1.0337834943599165,1.305499691254777,1.2015241774194603,1.2961597644278078,1.3867659201897578,1.204143925194867,1.207139079534332,1.3021107859552337,1.2439906523275481,1.1214114079534672,1.3397545988723703,1.4543328132493676,1.8780825610241485,1.404556389793197,1.2382952768313564,1.661542389877284,1.6169528082855458,1.1613700020306812,1.3693985568212235,2.239863024746654,3.3536451901504303,3.3339607918170886,3.7854490923803024],[0.7772513852522758,0.8239143213856072,0.8907766158554818,0.7387023218331492,0.908529312070144,0.9303037875422071,0.9717777555467901,1.072728216517744,1.0489141819968946,1.1232775813482643,1.2031001536746708,1.248705822880627,1.2376788659961833,1.2132708598282298,1.3070626036628354,1.2820250104007855,1.3014147808534968,1.2223861913212681,1.179301516170036,1.2065244787507365,1.2025982299509415,1.1905639655354376,1.203831311129647,1.6165208460296008,1.3141122123406368,1.285070569522156,1.2274867593411187,1.188536629076016,1.2401878462475466,1.3009316347473807,1.2488020276328826,1.2922103223186323,1.3120463089040917,1.2651711244577284,1.2406293986698524,1.2663429293459507,1.2656624533453709,1.1937597825973127,1.2477793309096041,1.2573738262079248,1.3785870346604066,1.227793969092661,1.2568425156627534,1.264274105227122,1.408257674644206,2.0666222025787366,2.1496501251108957,1.3450205873594419,2.1258837042438197,2.349861529409577,1.7961628196651895,1.5360695164396483,1.3212537476378128,1.4412914392512595,1.4357798479697519,1.2965289648742515,1.2851157945302638,1.3451753287769328,1.3310595222920454,1.712985711145028,1.3085050510380816,1.1987155396862323,1.1715887396664646,1.2215238158983712,1.1851567767965536,1.1846069185810473,1.2005732749770346,1.1622474330283963,1.1567442253844722,1.226535212377075,1.1225742276428856,1.2304016142383252,1.1561232549422504,1.221413758976871,1.1369321536098067,1.3236170833511844,1.1765012744663592,1.2179907152624212,1.2192383371317217,1.2471139987352178,1.2491293632356812,1.2836046236107497,1.5522707106320617,1.3649859736645213,1.4585870379776242,1.2589344584335456,1.2557677649033663,1.257494808447261,1.2573329804431448,1.2882559549122812,1.221431805842846,1.2813758825949546,1.2409564901369952,1.227709639558772,1.2492487930807135,1.269752772965538,1.3013974863406987,1.2911426825012517,1.2901675824205434,1.3398587214761708,1.3124789476004686,1.305607262649515,1.3228479729765321,1.2853110720178702,1.2947999690321437,1.1720785439618449,1.2014249173915266,1.1754846763546623,1.0580021265574355,1.1850705118418923,1.0452321482791618,1.0790798316846606,1.0781555995795356,1.0286204795795235,1.0909588823613612,1.0576167998108332,1.1908272277301388,1.0835340506758109,1.158622746337217,1.2274636429759391,1.2120029252193598,1.1778122456365716,0.9838024696310861,0.9321761279701133,0.9298851759476825,0.9039900947328903,0.8949917009630728,0.996767402812589,1.02995808972532,1.1376148754549822,1.0925745007457903,1.1152744916735435,1.1518140120025337,1.1377079675528423,1.1744038964639327,1.1852383677342846,1.096127990650107,1.052539070849709,0.95795830020519,1.0804211629898652,1.1583820639158744,1.2372855517512102,1.1723162090532677,1.1336909084469502,1.1374110528005479,1.2021110459356723,1.1616979528303915,1.2148341205047997,1.1846871463909,1.1738634492948636,1.1730363418802572,1.2383038006836369,1.2920512449728405,1.8009360250684088,1.6413836937776412,1.2756895337547747,1.2533235404945688,1.2210263279634797,1.260603355013481,1.2112356062972949,1.1874954793470909,1.2116453695719276,1.148532081293236,1.1923723720255566,1.1662231360368576,1.144699188075462,1.1637089826285791,1.2662974471957944,1.2100167287057606,1.1670976578049277,1.1398395169496536,1.084648406104039,1.149688243341917,1.1837469329217771,1.209981413632855,1.2347614835818896,1.2775506877827831,1.350212569442656,1.2898162045499788,1.248891742404034,1.2427898363502636,1.18191343085628,1.1947273075411975,1.2076579597495298,1.2247083736220785,1.2441086772760703,1.2508751061751588,1.594281320751566,1.7283821930087173,1.6071395331363267,1.6569652600006008,1.4779465319653404,1.5368185888531694,1.4792708116072777,1.2673323551291198,1.1434267030594023,1.1526652454319164,1.1201134937933623,1.0842524103419795,1.1567821736268658,1.0573967298227684,1.070294811225595,1.0335650399062064,0.996038268560189,1.0198611267202524,1.0285040191064934,0.9663940077727468,0.9390472271815958,0.9979183700095605,0.937611880857542,0.9008587230263336,0.9183534908454795,0.9812271405969178,0.957258738119201,0.9429787330584491,0.9230984258784584,1.1150348292947427,0.9113278797689882,0.9070478860787906,0.9401334763170022,0.9311869945479355,1.5622494219699699,1.0247506962107766,1.6748111312678216,1.191307090613726,1.110066827794687,1.1811097979684084,1.2255266186354636,1.0940489743384814,1.0707728079886596,1.2491586158456522,1.1929238115695182,1.2674739375928745,1.0851845844692316,1.4088322003229614,1.2360227929533774,1.1720375154553448,1.5097479366698812,1.0667206804817737,1.2012558772933246,1.2326960150994286,1.2644495158743358,1.3449944167507453,1.3926128351386353,1.3982714277166997,1.282004179953593,1.243375613770821,1.3771990840166946,1.289289999468994,1.1410008418337632,1.2150183585018721,1.250046048490223,1.0730113679333675,1.1005907294827886,1.2036604998100602,1.368880858035582,1.0693009932420563,1.0638270120706652,1.010528098522688,1.0644675363585834,1.0790186881943284,1.0599254357415733,1.0131413221273051,0.9816405054872134,1.026264148702202,0.9516903057567907,0.9400944069584214,0.9664845270821075,0.9730817438772833,1.0150455070325033,0.9546316990965809,1.0154282565351727,1.046871725252588,1.4086327475167073,1.1992829467045296,1.0260441979041857,1.3188050293327649,1.2519074404990613,1.0990539258555354,0.953968958571897,0.8955387766885113,0.8594999345621157,1.0169067149834436,0.9444618293556807,0.9912826482765495,1.1275548790593621,1.033635316949949,1.0150697368540673,1.0496508976301893,1.0070432377215732,0.950149282277703,1.091332500063272,1.2604152332644987,1.688894405391723,1.1776933375473526,1.1329303416285688,1.559260896886459,1.3945415384620705,1.129895003683755,1.323381053523596,2.426336217774567,3.7033369737416337,3.854859180002423,4.223779853101411],[0.5084207694506069,0.49168580385893657,0.5164500553614009,0.4045606456323063,0.5080653493235932,0.4432089866813083,0.39084493672177056,0.4221575610464969,0.40794479034362136,0.45674130279871894,0.4966966412921828,0.5809313977921158,0.5482721457827576,0.5526461888351404,0.6801099580286272,0.6631432364595563,0.7627127538506338,0.8238719589966579,0.9699500127354782,0.9486589690207611,1.0830406894418907,1.0736421952712334,1.1655502995916167,1.5825711904741064,1.2173356542929825,1.1820846109217416,1.0067148332315214,0.8689114622033328,0.7970336639505357,0.7459223218379782,0.7501013511216592,0.6846007452388158,0.7550587164065684,0.7587968816164248,0.7284685770653507,0.8247457089173998,0.7495200384851864,0.8287935380958642,0.9030334784288937,0.9466209680028843,1.1859940588516436,1.0104249342826535,1.0565074852892167,1.1133419153400852,1.3361851178296744,1.9647666696698027,2.1040819948030185,1.23544824720676,1.9736095711023798,2.2588504315243494,1.621722320058666,1.3901296065619702,1.1119697709063021,1.2182861730691907,1.1803903372498104,1.0889318138577804,1.106209283748655,1.0949761595464826,1.120471404736379,1.596384516247134,1.1822817677031328,1.0377441056638124,0.954564673363504,1.1162479657232625,1.0760341125456816,1.0071056244737462,1.0933957155051461,0.9151563483578173,1.0104751229664635,0.9406463063687136,0.9713129512376592,1.2097552138725536,0.9871764720082681,1.1409707013234633,0.8850259993141425,1.1926060369504303,0.9220177018595236,0.8948817624084362,0.878833765392232,0.9431319968774173,0.8390991321233748,0.9072669033663947,1.2461708306390138,0.9551821032800702,1.1169754595756138,0.8301401463444662,0.8923762298994317,0.8187516211372479,0.8828514562087801,0.8698206828925743,0.831361632471922,0.9529435903866635,0.8629566996372825,0.7576971187670551,0.6917651228628675,0.7634120170622307,0.7610798702053613,0.6864604681958925,0.6331105607717852,0.7853103321451862,0.6299088438757058,0.617551185398945,0.6579042597476429,0.628898834168779,0.7213456117935474,0.6154133170774407,0.6575007960361116,0.6589850032671759,0.5352315040185445,0.6375296721031802,0.4684542272039246,0.5077197364434279,0.4920742918451878,0.5226528360605263,0.5479368234649357,0.668450082562696,0.8366116092277068,0.8964843001940793,1.0654302063283185,0.9347044979984939,0.9187300829636162,0.7268958227473021,0.7200205423246001,0.5267758500155019,0.4406892829706177,0.49888029531597883,0.37813111400052807,0.5255790698003848,0.5375307193797246,0.6625789953276144,0.7095777864828136,0.7062240904513035,0.8071323726972743,0.7181609540825282,0.8429185107879249,0.8561536791102901,0.8276746986937729,0.7887396705506208,0.7370548804494468,0.8528111495409505,1.0871743746174054,1.1831061007487547,0.9932942720961673,0.8703589373401147,0.8465088689371381,0.7879967979471213,0.7371696766011928,0.6817063919486515,0.5971799070013075,0.516613118906089,0.5062482708494739,0.6525335704269997,0.8499503246249697,1.6640928585035542,1.3271482381980721,0.6565529952696928,0.548787381454918,0.5345920475948355,0.5790304596616808,0.6005262033023212,0.7099288738139744,0.7511322058312611,0.807026769302187,0.8387015086370228,0.8668325581880135,0.9541361301379142,0.9524904744670968,1.1568164375706969,1.0801897845180717,1.0202081502677112,0.9001459768707454,0.8103160224384137,0.8075476077504301,0.7751390521517727,0.7417661269671467,0.697130101367672,0.73589317180656,0.843756484287573,0.8074697818867256,0.7395564763916292,0.8365355947049977,0.6895184573775662,0.7771046522353747,0.8415032378264009,0.8933430388170989,0.9551345867141576,0.9655842319075749,1.3791736137225312,1.6528572007129771,1.4561946675174444,1.525895758302475,1.2734891417949872,1.349219291711754,1.2755597149303928,1.0014201345242615,0.866665246244501,0.8494655329664097,0.7599267859386154,0.6829850183819247,0.7225769261400773,0.5685828528379083,0.5380779295873618,0.5236292058003892,0.5554099306626737,0.5362538055919859,0.5578535577193469,0.6008430122496493,0.5580191464888598,0.5678999665291155,0.5818986868376341,0.6068619741175967,0.6212256738889964,0.6700151495129211,0.7485666835995347,0.7519119491539225,0.7384152583209852,0.9896851171363881,0.7101862115570192,0.6265521420408994,0.6271831595549687,0.5960571850754611,1.4027808674988613,0.7480070890059964,1.5091602634654562,0.8422450332408848,0.6824947076337327,0.7739323893581701,0.8342965109948092,0.7180038799925783,0.6462557865749545,0.9103901527956455,0.8218707343815452,0.9570502143470873,0.7004130615702577,1.1441935322653032,1.0252894559667325,0.9077859289947399,1.3176619226374153,0.6814077283915279,0.7579415490077059,0.7760685992522114,0.8144581470957316,0.9021250721490869,0.933158765632474,0.9056356971343742,0.7975486947189432,0.7742961908361012,0.9166638665411428,0.8060448169539609,0.6500474583493121,0.7899776515898498,0.8771110721955682,0.6631150333433187,0.7019995824177307,0.8380007808086775,1.0378325761370368,0.7269767132917767,0.7066882320401483,0.6116565088649174,0.6178820593828807,0.6055232827052424,0.5902392565355814,0.6023966740461364,0.5672776324234058,0.5805837308633401,0.5613945126935449,0.5744964910994274,0.5826136283992368,0.6273089704898911,0.7285501374275015,0.6534829674166795,0.7191062173653192,0.7757291107366409,1.2407970907831063,0.9640283154627113,0.8046734096527439,1.1554872774374318,1.1143928063880473,1.0430585466869535,0.8288946278757476,0.6603445648509733,0.598425669968523,0.8523316901951676,0.7429912556694122,0.8104232605661452,0.8538011193078222,0.7100715915687874,0.6389838016461566,0.6156450624400286,0.5865258611288242,0.4818716416222711,0.5635857918846069,0.79772191084556,1.2482312346754787,0.7129591593571281,0.7069328893605562,1.1129801938541253,0.9345516014189914,0.7464910393784299,0.9962792157594044,1.95121455063921,3.4384237509637847,3.574832578313256,3.7778112160671777],[0.5170430120385952,0.48493865605518377,0.49563542943568234,0.37293258213999636,0.45584951239940674,0.40328596138973066,0.2960076965153225,0.31369024417441077,0.31446208560079714,0.312008273045778,0.3157419849552578,0.4228506390945689,0.3358699297394728,0.36326822738795966,0.45242289945619757,0.4114963766707,0.5164295993225102,0.571605719263629,0.6893512682277867,0.6500911022537138,0.8052787873354714,0.7922789325518694,0.8937655826453091,1.2893280091380923,0.9428886122747845,0.9161007493778064,0.7097320551316185,0.5832619812860954,0.5146656383510468,0.4704312996775872,0.5041707906261026,0.45868460032636726,0.5486248771553247,0.5299496083478603,0.4756532890500768,0.5347788107252194,0.47736384196586096,0.5677521226239692,0.6014530197550382,0.6364605319687612,0.9343490061685134,0.7025820036976519,0.7477155801261854,0.8008671143428692,1.0831293673440479,1.795993351939303,1.909945933395811,0.985441455792227,1.8138587328863334,2.1897204447943523,1.402251297653411,1.223197875154654,0.8853392634360406,0.9412213578295154,0.9578495089076648,0.7634487424550171,0.8025289257750948,0.771864671187125,0.8306468757545402,1.3332580617755971,0.8763225167791022,0.7602847905100066,0.6659986723792236,0.8618028145839852,0.7772651107433898,0.7262957960791622,0.856293062799544,0.6517696209983141,0.7871032705906457,0.7234002864704577,0.7937655063733384,1.142387637787263,0.8241880768891813,0.9485203455890808,0.6601018775878529,1.1139771207838727,0.6580656617041497,0.6277004033642185,0.5976443533941451,0.6573900386724196,0.5454989156584775,0.6051249098471205,1.1516264834605827,0.6571813248701385,0.8153149900909589,0.5471993664633112,0.5923442093231857,0.5691139425135846,0.5968126886654778,0.6401350599897311,0.5734430577581131,0.7478050721556835,0.6437988571145128,0.5409635286934608,0.4799023375372089,0.607418215055076,0.6127806889641302,0.5325935217865394,0.49199083893192996,0.7378778165813409,0.4652039595210851,0.4715406438255905,0.45377227615664506,0.4443424235782335,0.5012008672361125,0.46149487333008243,0.500374234835564,0.46821385124602144,0.39994196671987026,0.5020360990342295,0.328308634014847,0.3436486039714709,0.3315608056719269,0.36678580109468867,0.35620432292391363,0.49055315925303783,0.5803405276094046,0.6371762542193327,0.8031622898278041,0.68596412387848,0.666814677941039,0.5214320351164948,0.5885877477698492,0.410565116050043,0.34003858984273916,0.3965520712743262,0.3126551325008777,0.4004410506727729,0.38562543708611,0.4964411863120818,0.5680965930758096,0.5504697066649921,0.6314893729473349,0.5646999814606999,0.687374889024271,0.7215915925865596,0.7374376875459211,0.6415268042282988,0.579477139403163,0.650247212932721,0.8929052811182924,0.9329534528298411,0.7145904536386466,0.612973492823668,0.5724604171584204,0.5016675619438329,0.4772195009090062,0.4334290342920492,0.3877300485702035,0.3364662838567016,0.38231659713325744,0.6029323178001261,0.8759495846476262,1.7056550619383937,1.3438959498634873,0.6149287545502627,0.40546332863882956,0.38147372857349576,0.3696427659818961,0.3952998973577098,0.48089482992245425,0.47754415888908025,0.5614030416114404,0.5671784363717481,0.6416820158622631,0.7641622368698469,0.7705138667012661,0.9945255587589901,0.9475954236487607,0.900630433457109,0.7388579058055118,0.6322170783947614,0.5859209875983392,0.5292134889489263,0.4693072909922549,0.4465073752530511,0.4806052512023715,0.6266759545007542,0.5079181015871091,0.472896978212438,0.5979731355496382,0.4602115904947539,0.5361052421760752,0.6184206516270505,0.6799688657245584,0.7043398137908305,0.68913825365922,1.124840644201814,1.6591070636885743,1.2132269403334377,1.2928553160483403,1.0538483312322808,1.1486802599510686,1.1032478090864468,0.821185236086591,0.7039285590984912,0.7103064309990028,0.6223915070404686,0.5845213309199258,0.6323964601739395,0.48164300262393483,0.44688929603747884,0.4386087322297332,0.5148251765807924,0.49076632847879487,0.5139637056912227,0.5872069264742561,0.5533699516619417,0.5617826441886619,0.5804254520590441,0.6169787897831559,0.6273194773953118,0.6714917608600857,0.758661079331413,0.759216449171619,0.7476704500073953,1.004344849913065,0.7352302167169057,0.6414265082562598,0.6454247889797372,0.6086086507866416,1.4512613068335274,0.7670991044197557,1.53826375118853,0.8013018099801974,0.6587282757659522,0.754236026748707,0.7842906779303379,0.6958058849646931,0.5824578031640292,0.8504377366584606,0.7193339627713832,0.9189492778635212,0.6048161004818838,1.0837158336170742,0.9528574654722466,0.8579010473137909,1.2955950705511345,0.6133378018548649,0.6354780792147964,0.6513652840149876,0.7238601150906673,0.8126905766405003,0.8949777940927244,0.8250723847544825,0.7067544243573314,0.7284737458438673,0.8907033646358924,0.7633572760641152,0.623430939464448,0.7882810640284232,0.8810717597365494,0.660908140084927,0.7003170324101046,0.8540173498304712,1.0403719714891193,0.7295508830422619,0.7171472747757917,0.6248824039933997,0.6205574054834134,0.5854749413609586,0.5628823551359798,0.6106551080373759,0.5616599682950928,0.5481522645511799,0.5547442239226521,0.582637263053404,0.5588714957153538,0.6082465505914264,0.728738850355604,0.6519821476427031,0.7029384478409973,0.7548697606683227,1.2213414988534081,0.9482894510418758,0.8145694425446695,1.131407099762233,1.117494303882662,1.102301489923813,0.8542544803811671,0.6837181083681401,0.6176830654301171,0.8791396015035883,0.785832829376701,0.8520612560003566,0.8577115862114272,0.6946894996070725,0.601169793641598,0.5317255092834119,0.49921875824163053,0.4333352874550213,0.478083792335254,0.7556530771266232,1.1933692327474508,0.6360691336080869,0.6942623861970331,1.079471455121387,0.8501241898644433,0.7452848128357765,0.9862156180528894,1.9409138420859173,3.4809341973114805,3.6570877048940043,3.7932612797755274],[0.47634256383100393,0.47782473384610147,0.46604539356282104,0.35918307053854054,0.4967553771221101,0.39266092313758005,0.2979898615284651,0.3042713276309924,0.3192717742858679,0.34080609732412326,0.3333405078878143,0.40554316868596474,0.3825030726622697,0.4083235754841045,0.47474659258237967,0.44481968239670305,0.5685977515058038,0.6074349987431967,0.7281568145894439,0.7068540343215731,0.8562234542769442,0.864663223288681,0.9286947120248984,1.3990722892007186,1.0159252160922974,0.9743611241462438,0.7977219082614092,0.6658750159550328,0.5740535575145401,0.517426131537025,0.5143221453880453,0.4784939919088571,0.5197763800370307,0.5397089832316474,0.5028298588270973,0.5761901533943081,0.5379600654698562,0.6243245162325963,0.6841895658144531,0.7393411313153125,1.0381697727496768,0.7858650232165434,0.8359446294436872,0.9226134555065774,1.1885510257165042,1.824483355515529,2.0293705044153687,1.140107326671871,1.8253057339226173,2.2522755605822034,1.476964256169856,1.303354344886428,0.9771898265250907,1.0553759844683641,0.9984212042950615,0.8654830160588068,0.9083132664759359,0.8429544583116401,0.8827183364658909,1.4307032411301592,0.9380002844433931,0.7781944473145774,0.7048222849422149,0.9085073878259354,0.8196351878886361,0.7631273302915144,0.8645550576350326,0.671495492196335,0.7896487473424489,0.7372927630326823,0.7725777563422894,1.1073967005196497,0.8204655865370535,0.9555090600774614,0.671705851087648,1.0900977823765061,0.685956754459418,0.6467616900506573,0.630679689737985,0.719236207566386,0.6067204513351677,0.672543091557672,1.0928647581485855,0.7557517296361893,0.9039099466135556,0.6095395998047729,0.6547888513820512,0.6236290123129519,0.6440232147996933,0.6599052979009351,0.5948228968857269,0.7573038589034478,0.6416772963229046,0.5284145120667281,0.4790038705482021,0.593956055266937,0.6121163222563718,0.5255383251254164,0.4817424670282197,0.6804888019650995,0.4541233275677708,0.4936311868881262,0.44990422134957925,0.43600401964803165,0.5692456120880626,0.49892240796235926,0.5460555767472807,0.5468989494532893,0.47381256601457017,0.5172412630400792,0.3829049296811277,0.3970807937447218,0.36898255102604366,0.44054737785459813,0.4276173462899265,0.5711696724108711,0.660269721279098,0.7543622368304249,0.8822304087385943,0.7336703918720276,0.7307266741993799,0.5915086842433582,0.6779218358731653,0.4864187731715287,0.3928274624976594,0.48487507825421483,0.31038343173933,0.47430614927984455,0.47108317075786077,0.6014263136504299,0.6830846365259586,0.6677733391709846,0.7703976751763646,0.6755566395598389,0.815413924301961,0.8681499821242064,0.8411052298816396,0.7904758556907099,0.7247496873105793,0.7978948847755791,1.0323158902658693,1.0935948412494214,0.8373622298200357,0.7344466996654657,0.6936744080792233,0.6047737350112273,0.5781903440472851,0.5183995910971474,0.43371184800321194,0.37463214240417325,0.37311219969766796,0.550117876210796,0.8399595547039077,1.6486012351283772,1.277832333722983,0.5659083833986948,0.3884923673569704,0.3728173073561327,0.37585291015743927,0.42058185598712283,0.5670987619023568,0.5746045693096224,0.6838966654985722,0.6822025809554003,0.7583247064415424,0.9215379932261288,0.9303442542839168,1.1774536909764979,1.1205573805862898,1.0589731848367434,0.8786366998083512,0.7701987243264844,0.7258756471732603,0.6590636562742912,0.5717196274479756,0.49785188940750474,0.5152056332910562,0.6209547152980257,0.576179311168499,0.5350132395984831,0.736446126265836,0.5579781624439928,0.6636951659857787,0.752271806429009,0.8146862026360554,0.846932763476546,0.8252575442483283,1.2336442324682406,1.7456999543813605,1.4123365055230412,1.5315740914379719,1.22632909388313,1.3325865347349106,1.263217481980612,0.9735460065645498,0.8408324247103796,0.8208155598461796,0.7397332664327608,0.6684400763345771,0.7135476378624208,0.5361831780002722,0.47202441310387305,0.47896894976840043,0.5487015327962356,0.5119411601631538,0.5320014559958814,0.6045176653186052,0.5811080529454501,0.5849105589211616,0.6017748973139114,0.6420490192479973,0.656551968457366,0.6965576375543245,0.7612184443817066,0.7809391835060149,0.778312892101013,1.0330712423532102,0.7663542386588752,0.6683993943351909,0.6716730313078814,0.6359440406319955,1.3749297274981787,0.8266719404383231,1.5367360880412664,0.8076337866144232,0.6653892293969624,0.791396681396198,0.813099523430359,0.7805411846563078,0.6352821863808946,0.8834698941893083,0.8149546494716369,0.9837866435082638,0.6928827021938524,1.131895952949844,1.0813044098301303,0.9400387823455856,1.3397445281139306,0.6877085520364603,0.7025384006293451,0.691038818508335,0.7352510029735801,0.823613413851793,0.8483383750368052,0.7987436606981801,0.6915349260455601,0.6979738299510999,0.857481667169459,0.7399692674643319,0.6392427069676104,0.7862360970152954,0.9006385697880557,0.6881304522482037,0.7115414845532629,0.851309281912763,1.0258482157501123,0.75223299471523,0.7428853984443656,0.6374290517949821,0.6264096014099868,0.5913189078235382,0.5536127820007521,0.6264919598145737,0.5695313951544029,0.5727377428281726,0.577421275574025,0.5966179040885031,0.5852080395513245,0.6485646328238518,0.7809635054435218,0.7026178658752508,0.7653368622762498,0.8249591204598758,1.3087708552655537,0.9967548011294536,0.8729445667346526,1.1869406696193519,1.1670686840596391,1.1393211981469866,0.8855116883965873,0.7186342832763445,0.6378023491108272,0.8780863353880369,0.8043419431198302,0.904799392912561,0.8999152263917857,0.7336249566927281,0.6430048729978047,0.6004653632513626,0.561390785983073,0.44189390293823627,0.5127845377159503,0.7501434522777777,1.1544507967235826,0.6820676352197265,0.6765763391186627,0.9892429047235897,0.8720912036430722,0.711034894485669,0.9426790879284421,1.6267517041295614,3.1510707112047482,3.1963891492303254,3.242959218428268],[0.47630684047379107,0.4289107660034877,0.4355350738174391,0.3630901544978368,0.42676343283904156,0.3584193261234294,0.25235806588297655,0.28490011273410126,0.29377139703663885,0.29212451956466345,0.29813929599377176,0.40327410028919725,0.3172211288327497,0.3640381337638937,0.4386074958767355,0.3864963038307585,0.48153795993421444,0.5439321550151563,0.6539405726141413,0.6068142158094012,0.7715524539249495,0.7539420313202277,0.8373872735191782,1.2513181989694333,0.8946875581164313,0.8764785694694753,0.6533853011182563,0.5356284410538368,0.4687382154046961,0.4330910720903595,0.46725220862311934,0.43176660491827074,0.5139771277506482,0.5011674049201359,0.4309552520156799,0.48798697437887234,0.43248186303978936,0.5043101854496738,0.5257076926433799,0.5571763774141084,0.8675579534560331,0.6467672909608613,0.6821948897502154,0.745664249523751,1.0356880076581343,1.7398735821406988,1.867072337610436,0.9497564970597102,1.7612891163751032,2.2068586248754665,1.3385061371609914,1.1942926395458002,0.8576737360049193,0.8481405402594776,0.9257926647338554,0.6886722481754447,0.7397144544917565,0.7041441561939057,0.7687539280078455,1.2599729758968443,0.8085838181776361,0.6933626727717808,0.6028526658052856,0.8180593687037577,0.7286803355758528,0.6735959072700584,0.8203476661366508,0.6151541057903015,0.7684664535503151,0.689198084892189,0.8154168649421285,1.1825909927124352,0.8092862702121436,0.9209269146007518,0.6367975545248195,1.1204786004057588,0.613717447134886,0.5917268717607811,0.5468564647945972,0.5970811169461122,0.4930258767891776,0.5538485266846895,1.1139121341664258,0.5683590818499632,0.7035747774802141,0.46838711994385346,0.5300465239856735,0.5237967298397551,0.544154017663433,0.6229531076657581,0.558401164301183,0.7363892987890265,0.6101441887337323,0.505825225164868,0.46253469178406215,0.579972571364006,0.5616940777813891,0.5018684684197021,0.46729267537399427,0.760295710441289,0.464405198622731,0.5054968722314281,0.3695256818423961,0.41779315013328877,0.4398169026182249,0.41419580910560466,0.4606115769508518,0.3931539160324397,0.3885936430294551,0.45965924862939156,0.30197442453944523,0.2776580447432739,0.2808200147043319,0.340700374229094,0.3421987686856329,0.4661113839009308,0.5376735915270604,0.5982177462843772,0.7514844066539023,0.6521006105409098,0.6266115763700089,0.504322827264954,0.5673027636775541,0.4084620869043659,0.34042519468164884,0.39141009146264466,0.32997918490630557,0.36849298954725235,0.3487767164174074,0.43370772162226284,0.5133839913987871,0.4999434272535057,0.5628727143902785,0.5101686119945755,0.6320792762604367,0.6889932371947756,0.7255907317575518,0.6186439579114543,0.5464321078445434,0.6003717760983042,0.874568622138925,0.9080177740760285,0.6740563502765367,0.5610858152081203,0.51731111233472,0.44826548427927343,0.42499131405471813,0.37760838743076036,0.3146553233635688,0.3024312570972789,0.39730740360257755,0.6256925355351682,1.0137710846523105,1.8262022837239185,1.3589622102901582,0.6693778730778931,0.41060299692504065,0.39245579395686153,0.31596411338961405,0.3427544734910417,0.41511669711274646,0.40809396981353474,0.5038871341571751,0.49787824942868203,0.580057214261497,0.7397822117281817,0.7362528080127626,0.9859626488969009,0.953986605624637,0.9057607188651242,0.6973944642146647,0.5852210560745718,0.5399899643801226,0.4588865134515848,0.392653510874424,0.3725948371119741,0.40402366916785565,0.5869967528252968,0.4120528251074672,0.4235310088227015,0.5499329877462765,0.3786133376816509,0.45300197684513716,0.545713246938408,0.6175949241121395,0.6313729448980008,0.6269570575304417,1.041999321300726,1.7433691667868785,1.173937060739051,1.2644178432935873,0.9873146120836512,1.1067418658305936,1.0684605187440643,0.7732990930487911,0.6420849595516743,0.6426144534615714,0.5707949637593073,0.547695071967363,0.594976441632086,0.4415431267722062,0.42692184517949605,0.4072557642381524,0.4927555511889018,0.4717393095847144,0.4873031696127745,0.5863457416613478,0.5533006262067752,0.5707010772386305,0.5763376237209742,0.6317264498235351,0.6522285475678424,0.6773280292925307,0.7701806628934986,0.7928011183055351,0.7806859943798135,1.058144187065606,0.7995690388673679,0.6791881028375125,0.6709695297030668,0.6419918987367923,1.4658685196063312,0.8522075563825127,1.5608474483976769,0.7650407625584621,0.6552387012087505,0.7888294403087789,0.7656137669383236,0.720888195968773,0.5463405676732879,0.8429039710206627,0.7132446031258327,0.9612023696566393,0.5757939961665335,0.999803702348614,0.9453368034041829,0.8337714885510786,1.2760002841606173,0.5905396774341103,0.5835930703860639,0.5842179983385001,0.6851771508195804,0.7791186105462546,0.9068835154734873,0.8176460672326871,0.6634913201909038,0.7162646639140159,0.8955761818772949,0.7659917161355058,0.6456784908113262,0.8484907828425607,0.9566741368407757,0.705384393407886,0.7396603929195626,0.9081238394987866,1.0176937571471019,0.7698392479213866,0.7802998071695054,0.6684781159687255,0.6428447460716729,0.5974305839044229,0.5632215508256073,0.632931425064919,0.5462918743877723,0.5475758978820598,0.5477524747796766,0.5792088735267035,0.5300377281884702,0.5845763678737418,0.7546889501626212,0.6708581311661815,0.7023265870291118,0.7602674238184354,1.2552196525046129,0.9575353717732413,0.8537979511818526,1.1050160098792063,1.1542390118160177,1.210774991310865,0.9181303531610611,0.7330090464587496,0.6471889287592972,0.9037782447736311,0.8353586173491376,0.9131613528164314,0.8832171351721416,0.6904930911347886,0.5871140006671014,0.4989814650437073,0.45512923984916437,0.42205820906670743,0.43696975146181916,0.6974540373367057,1.1583625744817792,0.5503167566512791,0.627949837580812,0.9363574530676957,0.7194285797945649,0.6675472757600351,0.8627907935162612,1.640750995656009,3.346729239911733,3.6034546983054665,3.509986229146305],[0.4910689482845334,0.534518572855891,0.4783950196991277,0.3967259780817235,0.4575098127438625,0.3756223720766516,0.28702908250374326,0.31497017598961885,0.3392524616619767,0.3047034296872679,0.3020033714157003,0.39156824525264616,0.3381797635349215,0.37347048885044326,0.41997242487163355,0.40020367201666174,0.49089936456136773,0.5345910073202749,0.6503624728255654,0.6099337149505799,0.7494227341328638,0.7650298580560624,0.8415946399143083,1.3159862658939234,0.974429687297765,0.9178433228204993,0.7037055833499545,0.5949004119554948,0.49551649533020364,0.44018902807004173,0.45575092532380684,0.43036577708948565,0.4549528318881378,0.4598354292231703,0.4267528081567444,0.49088291531243106,0.44724614648103656,0.540687854182816,0.5705943297414477,0.6208298660668085,0.9059783847456346,0.695871701857343,0.7411313481881239,0.8340783712467098,1.09946552895194,1.703330952149856,1.9379603130262173,1.0599307206339188,1.7222707214335244,2.271032775833154,1.3714498729541957,1.2104015329344107,0.8987408240742102,0.884863050472931,0.9519168770817826,0.7439052570205021,0.8156657452691304,0.7534997966387094,0.8138211543240478,1.3435806287388963,0.84122999764955,0.711275012472477,0.6133236549729317,0.8025602901200234,0.7277486528224507,0.6768549538535281,0.7935015750664087,0.5927658540420722,0.7271771221860983,0.6822705621804958,0.7672444855119296,1.1306110414964157,0.8067120840802723,0.8823139026869062,0.6207137278703622,1.077414916928317,0.5911123033617072,0.5450463437889554,0.5276868743049223,0.6098148946014129,0.5168506351023135,0.5722097356813045,1.061891405984293,0.6504379993802256,0.7997881753125732,0.5188954120253242,0.5529762136327655,0.5583568605443108,0.5390951496814996,0.5769226141748338,0.5163280293115373,0.7001131910705044,0.5780382168328785,0.45569646490476334,0.42148543373159886,0.5280605985177881,0.538379702833138,0.4652439559742077,0.44551063215640957,0.7012945465292411,0.43724981223122206,0.5147925682474993,0.36112592046425007,0.426597525504974,0.49626936744004396,0.4686784805263929,0.49469010361933946,0.48517462798517086,0.45429327590363333,0.48138567759936035,0.3642508856157368,0.3418357717912011,0.31673536233961785,0.4018162500597379,0.3778636868632036,0.521578578875771,0.6014516774773718,0.6713058690926591,0.7854224094915204,0.6562339158757511,0.6433096657837393,0.5508342015833376,0.626742730828786,0.45999397823100374,0.3761467561135718,0.47124017865286705,0.36676705933282994,0.4506482285202893,0.4521338230915534,0.5317830446664634,0.6432327101581351,0.6300220768630475,0.7048722462725772,0.6118995603250079,0.7476239023854571,0.8254264834689538,0.8295080117377761,0.7523980889608645,0.6684731191159025,0.7160127880525534,0.9444430346703276,1.0066653110433115,0.7552341830471344,0.6413659874944674,0.6086504423718412,0.5152094653208953,0.49158076099628994,0.4409470607508886,0.35041072489361014,0.3444039592837477,0.37910354841466215,0.5748980787619122,0.9649398522185724,1.6852186722127578,1.2584720556574247,0.5959589449621477,0.3850505674081002,0.37196637885777345,0.33012587415371886,0.3933941286984362,0.4816351208345818,0.4763294047331985,0.5978943945156996,0.5853012257419067,0.6700828941371992,0.8467447247329787,0.8650928831952017,1.143815541725126,1.110287431842536,1.0542331382493664,0.8295366337227482,0.7111021981341404,0.6580480956911354,0.569334435210292,0.47352565281393977,0.4156274280208973,0.4381288984873947,0.5779346697989376,0.4617076211223275,0.47289013498180527,0.6715425429295748,0.47264194664321646,0.5690369440888754,0.662466458474409,0.7263615548186861,0.7393199296530122,0.7104550409774667,1.0928036724991805,1.8766059336122012,1.3227206482306952,1.4498206855808513,1.1171969323012332,1.252374850882593,1.199683712356116,0.9180565467544098,0.8014607523571701,0.7901758590804445,0.7308176843268414,0.6772278339708403,0.711727253802674,0.5506108069062738,0.489255477656902,0.4900063980440908,0.5811011895651484,0.5517445804756804,0.559239116947494,0.6450966037617712,0.6164034846264977,0.6316629477952947,0.6367452693211232,0.6881201524344632,0.7322684053885911,0.7756419013227093,0.817265926695623,0.8525906852128845,0.8328282291947018,1.0995978507195632,0.8652919791679802,0.7521894508897916,0.7496159815970164,0.7441388417908494,1.397518438741009,0.9642781419652179,1.5620212300455043,0.8154006911941165,0.7230206531027082,0.8594465082231838,0.8340202365383252,0.86368444741828,0.6669717955348007,0.8858338643513212,0.835649795580695,1.049288261806719,0.731513031219594,1.0975236423744739,1.1591593482604026,0.9949690655648409,1.379528541499462,0.7364293704314805,0.6719676943594415,0.6561177647066765,0.7099457486968298,0.7833906428380014,0.8693202104241785,0.7631356255210469,0.6512361796298018,0.7034436151430745,0.8633478064225062,0.7572422390986258,0.6755409544175248,0.8547852695044826,0.9827134209990234,0.7542432697708836,0.7754108703575757,0.9517709013814634,1.0783574941608316,0.8393243029155651,0.8462086906391704,0.7328920033984372,0.6993379375089002,0.6455816196682884,0.6090402483990246,0.700275153669512,0.6215318245008463,0.6198092394998111,0.6461986343127759,0.6713345974456154,0.6419328253529917,0.7145043437431765,0.8705195530398929,0.7770418309072291,0.8428246377542218,0.88923738991222,1.3474653098001899,1.0596738979157074,0.9482617986324042,1.210294061909725,1.2399012604717912,1.2746431764902022,0.9802968847634516,0.7947477832714699,0.6942828684445534,0.9340612378637296,0.9108414529675665,1.0217139194186675,0.9850699596995114,0.7957292121800581,0.6749724905899286,0.6041840691696498,0.5262995769918338,0.4830971362473164,0.48620244672031243,0.6910505162168376,1.1081033900063346,0.6215283572904676,0.639966313352636,0.8415700498305902,0.7563612935500569,0.6774164402792705,0.9115059045021182,1.27317082232195,2.8349079138230278,2.852990642314578,2.816994715860077],[0.4572605575145828,0.43837650160052377,0.37543769528435555,0.30298509777471955,0.3742427562549848,0.3483768328613813,0.2760818807437235,0.39912639751548407,0.38783082632082744,0.2890741373690313,0.3312612364152311,0.4765547216962885,0.3081651848456105,0.3297488617175015,0.42065646858271544,0.3647694367516583,0.4134766898157962,0.4333535478961667,0.5134836029658929,0.46994637293327096,0.5883202155760414,0.6006256343698275,0.6965670478483248,1.0414310166736307,0.7930871445710627,0.7284922118092789,0.5155755146962193,0.4253890925214477,0.3769920758768219,0.36512172048093505,0.40976716974123534,0.4331279573920755,0.502011927443384,0.4612038408905443,0.39691756735691397,0.39352700453288403,0.3959371306158093,0.41506072599126276,0.3823407190825847,0.4254791447199286,0.7118770765832291,0.5193058100226177,0.5428354671883588,0.6383031227824203,0.9426417954065179,1.5973761819701686,1.7936768534977583,0.8845667353845869,1.622000254885656,2.2613346074065714,1.216812995443881,1.1733629242441403,0.7964023386128014,0.649437280011944,0.860686438361011,0.5450943596204278,0.6220006696207888,0.558045425538134,0.6525235216247386,1.1565872912182806,0.6851417373157894,0.6033456632738567,0.48381603056262784,0.6484231789834931,0.5695493734099016,0.556477396192216,0.675973415782762,0.49199761934557457,0.6447974582807642,0.6144863609985652,0.7532574445160298,1.1275745496545868,0.7534298797006905,0.7924267068962498,0.5345140220543273,1.0312856174091034,0.4945688071400381,0.48396433403202893,0.41700443745533633,0.48716802329494174,0.4008503257838004,0.4476710538362849,1.0436205917967214,0.4946275994624232,0.5949860992621462,0.38377832719151905,0.3959485372625635,0.4907826839784126,0.4143197246168375,0.5497273374307238,0.4615475611742226,0.6403245026331361,0.505285282598798,0.457380249599506,0.4331971720640887,0.556315181751692,0.5553804373365335,0.532756367107559,0.5362080552501711,0.8316093341489633,0.5455590544725678,0.628529152211593,0.4021413197060589,0.5037688906481567,0.4705282703000548,0.4604566390313776,0.4979982725298324,0.4160746706803728,0.41811966512517357,0.47326329022155583,0.3506220851784363,0.2987112874425815,0.2841448942592538,0.3046312394362636,0.3071290720264028,0.3885567485211783,0.47459591042024574,0.4899188517449376,0.6104933441449244,0.5099803455615456,0.49037725641595725,0.43066614353879945,0.49305760984133984,0.362752747804111,0.31362372023751556,0.37170275888607457,0.3854431599713395,0.33793030205650154,0.3594318629319962,0.40775633581253024,0.4949260351500317,0.4913670412650271,0.5332398361508757,0.4918041922455467,0.5915229797413075,0.6820495197693835,0.7526607400015402,0.5785144916027525,0.4977545133878193,0.510793619359164,0.7517579059537457,0.7837528580234472,0.5496158814626334,0.45038398569940713,0.41527272021812434,0.3545859068525822,0.3374394526248818,0.3300487549090507,0.29284354199187873,0.35386597658385105,0.4807843735300463,0.6830937483981451,1.17297932659228,1.7865011938826256,1.3166450503126121,0.7606167181269007,0.5089096449809642,0.5079324799941566,0.36028276662707653,0.4171642175781402,0.34346846080213206,0.33602440609223616,0.4157094329010147,0.40029197329754906,0.5029855066732661,0.6767867863367778,0.6983254742862233,0.9933152083194638,0.9919223301121223,0.9496434807827507,0.6705491760793473,0.5277416861846411,0.48096509570348783,0.4030080793214327,0.3357409707910587,0.36433193964766025,0.4074319282207115,0.5989559859360383,0.3549852542047485,0.4510533734208147,0.5306698946275434,0.3573097098012504,0.42021668253581373,0.48477014824024156,0.5422451331241434,0.5378894275745669,0.5252655780530116,0.8857474512207852,1.9159728810329195,1.0870247744225079,1.208007601899234,0.9143755748442073,1.0721072175295765,1.0576435777191673,0.7574995113852434,0.6308296532845492,0.6322530457913317,0.5786407902893862,0.5516382300631594,0.5897718691661574,0.4552489985527064,0.45774422813180876,0.4215600541131422,0.51020396399405,0.5106190781827068,0.5278274800116949,0.6068784001623589,0.580153334408542,0.63870672749323,0.6046424818445952,0.6564274206925569,0.7020040087623081,0.7555996756928511,0.7752892922713889,0.8255012485458015,0.8107844435099465,1.084716932573287,0.8723742325898387,0.7484619553573402,0.7371911114011384,0.7254202908421186,1.4397816523062197,0.960998982065193,1.5363028594367332,0.7581193538753608,0.7146895023984463,0.886710192252526,0.8261830304061221,0.8574187606931247,0.599785697440315,0.8891352267738464,0.7419724879607802,1.013298860370746,0.6457033666251304,0.9663472524376838,1.0949294318074094,0.9230608762687206,1.2971530199835388,0.6583366910594687,0.5789371113604844,0.5559207352481281,0.6496974905711778,0.7498803759763434,0.9351450856529501,0.8017168638708385,0.6396979065326656,0.7333431542003472,0.9290683105049051,0.8149720926216709,0.7019311667695126,0.9392400298890567,1.0815274712443397,0.8162668696834916,0.8391524896996349,1.0208312473647894,1.0835929280709307,0.8603811667712611,0.8875736099841143,0.7522750181798997,0.7236154821211196,0.6561389252197254,0.6014509490175014,0.7064565809605118,0.5959915882243253,0.5721536203754077,0.6135567611600434,0.6428373682178898,0.5900583136081813,0.6626413256819467,0.8646114260326041,0.7657133855324015,0.8086460508195843,0.8658510297318511,1.3401546225945256,1.0282117423878607,0.9636123974613929,1.1928069198037665,1.2632793905871182,1.4019345071060776,1.0434014075666005,0.8064396580938161,0.6788655709694662,0.9989287234930709,0.97971380031054,1.0904465448212266,0.9936281379674095,0.7747855167698061,0.5987429935559482,0.5011694386077253,0.4177024682137846,0.4137177877206005,0.4191878740257747,0.5976234990842215,1.0802774405207882,0.484279420202067,0.5467959550520299,0.6654504721535952,0.6123561019713589,0.5455670451666994,0.7691199529079078,0.9826214605399466,2.5260092606704685,2.638130447986799,2.594459947450923],[0.48589431973758,0.3225514001158177,0.3778320555130114,0.3194898837101281,0.36707303652412965,0.34133856257816303,0.2474496243693963,0.3877808376381552,0.34505777594178233,0.29539718649131813,0.3571545021660647,0.4982540378385274,0.31249175992677203,0.33618513605109673,0.4451180305898861,0.3944820084500974,0.3977845137016963,0.44377555502202787,0.5199273916330184,0.4583950564949123,0.5734562417283597,0.5709339463496683,0.6715922584357416,1.0181577238712978,0.7608678362645617,0.712714929302847,0.48849484218372496,0.415727373025222,0.37559750125893815,0.37187474343643334,0.45411139843176557,0.47287650363209816,0.5714131074616552,0.5220634671352214,0.45327935176238593,0.401788963546459,0.4169212622848466,0.3860137417668746,0.3442524087938715,0.3797445526642269,0.6824305974436452,0.4805154939466875,0.4912158219051908,0.5709803786699026,0.8902355351753346,1.6237079980996854,1.7462145925744033,0.8029208901395328,1.6580318950569624,2.2500906593881886,1.1911737948391805,1.2175441492419015,0.7588338966718827,0.5979849703795264,0.908439248201462,0.5219167007729955,0.5608105183604085,0.5450267897662041,0.6502225498405524,1.0877566175252837,0.6474799753356848,0.6160371286389053,0.5208724230955321,0.6934270555991381,0.5718427019325159,0.5600197411011772,0.6971172334572587,0.5230702168070342,0.6738082714962914,0.6390029706281667,0.7955908399409013,1.196146526345666,0.8036820136602153,0.846791442209123,0.5987553680537924,1.115616748682472,0.5478733454345023,0.5536261397633694,0.4689027875965207,0.47773756505845655,0.4129725746756813,0.4838641914788019,1.1122530110057474,0.48941925100868133,0.5201055780903254,0.3621181475670018,0.3905631867916647,0.527174394676213,0.41719239469523983,0.6037777551238984,0.5258391341903261,0.6860834101765272,0.5751905516871794,0.5432845748115195,0.49401048701711786,0.6150865884862843,0.5896678063563502,0.5806630769573345,0.579300947404299,0.9073508611367322,0.6017564450587362,0.6929734792661815,0.46198790699784803,0.5500349716986269,0.4777434153070157,0.45481892953580244,0.5231192508552581,0.40352876119606557,0.4185275431981148,0.480679574326328,0.3567277756706668,0.27862465745465903,0.276100647467596,0.29699855753100934,0.28317529700368926,0.3719235842220931,0.441849710333938,0.4637959812808064,0.613563834044207,0.5417594131051388,0.5067408835435734,0.4315722169592556,0.47332629939492554,0.3520722480258778,0.30991220263072794,0.3470972959150533,0.3781591824055739,0.3123241642686037,0.3099533432098028,0.3569527748006415,0.40786012481785683,0.4067049821399498,0.43474602243879557,0.4604319999124191,0.5089069353601385,0.5800247190507468,0.6993190199934334,0.4972362862834622,0.44902443379588536,0.46373211571799533,0.7269894674079654,0.724350046641818,0.5222372543659849,0.40502412451701175,0.3743199864333448,0.33804770074136153,0.30596859514698144,0.3087301896207106,0.2863709365136029,0.35279834028304974,0.5099284195656373,0.7038228229593393,1.279913158070531,1.935382686225506,1.3673638833591633,0.8439737899092024,0.5396893329926584,0.5449588163364305,0.3761310778468271,0.4392908633930526,0.3180381344762001,0.3097050544063657,0.35999421854624086,0.34704029673973386,0.46083142679545147,0.6082960011170435,0.6011121510034405,0.8922720737253013,0.881971690681019,0.8520494580011223,0.5780988734408113,0.4564112811311489,0.4193498849379791,0.3545769582650234,0.3206929366010065,0.3850148987362918,0.428026770946751,0.6208085954338595,0.36951924323458524,0.4753105114175528,0.482874238294559,0.3246081666460416,0.3517005084216616,0.38970432852238973,0.44736805562076115,0.45738413087415075,0.4642700097476124,0.8322319892944604,1.8981723094454075,0.9778863444540241,1.0505832045142924,0.7976244145144946,0.935773268886615,0.9406799886395588,0.6430248810495988,0.5326313590828679,0.5399946205642658,0.4811753515227107,0.4815616918004477,0.525526311626183,0.4278424469048909,0.47269833869904015,0.4113923268764921,0.49033872503667636,0.49008554886174477,0.4972077738627696,0.6003516374071249,0.5647024615654446,0.6184813280045232,0.5659443107340877,0.6453370014724631,0.6670296045318871,0.680367149583004,0.7606020407414655,0.8266511144385013,0.8486266024944142,1.0804818842258117,0.9234408865446523,0.7661151082273958,0.7483649566793047,0.7293733410308946,1.5559109849466712,0.9741390624865754,1.56585453283374,0.7366348618503934,0.7171657001248827,0.8901713023082226,0.8134995625922474,0.805249791073969,0.5468062791051943,0.9183711426352558,0.6766980322649132,0.9999290842707275,0.6001648344779327,0.9080648699443898,1.0238417125712396,0.8682858892194191,1.2281004339740125,0.6075204870552963,0.538808055776709,0.5253369102142914,0.6639521705932195,0.7984855357059154,1.0504334801306514,0.8914048257202813,0.6928489934240917,0.7885879474849549,1.0242000796401705,0.8674518892555805,0.720027763614926,0.9867012977883695,1.1115416083332896,0.8049462470601986,0.8496585307676331,1.0368908020381182,1.0439352840103593,0.8383154833131728,0.8880955816124639,0.7509244335908948,0.735261557628943,0.672929290736966,0.6243102798654268,0.7281280326805052,0.5899881827747875,0.5789029588445236,0.6124647837930841,0.64527164053522,0.5643120055094645,0.63612503675114,0.8700207230335985,0.7629902333340912,0.7752650682022272,0.8472004364088632,1.3183502300136316,1.0032914759091374,0.9692932394535582,1.1949245432459132,1.3001193486333624,1.4965208930554013,1.1105610442194516,0.8484575906800642,0.7288099469150155,1.0685371342625751,1.0130378164503484,1.1063592144664551,0.9807343264542093,0.7552079889177095,0.5504499416470635,0.44714467547105574,0.3884677035936497,0.40180217435788546,0.3892040024325208,0.6050160290420882,1.1825623698852556,0.4166050235172375,0.5438621163184816,0.6795490696514175,0.5969967719999302,0.5461233055105967,0.688333416947709,1.069046583882695,2.890069920174057,3.3822612041088562,3.0068282527691346],[0.4820492741050115,0.3239051843493666,0.41081811990674144,0.30773641753521513,0.38872788966889366,0.37323921959897854,0.2715238067939403,0.42245742220843757,0.36023425556217015,0.3141065224746853,0.3710434543593577,0.5147314080487156,0.3504040497141034,0.3500652027753905,0.49094904664651573,0.4159158388558809,0.42525976587522696,0.4468639373460413,0.46638290185410936,0.4477569148210069,0.5552984001766147,0.5628919241177991,0.6132460388354596,0.9068226151722542,0.6990320029772984,0.6479555653058838,0.4456756355663498,0.3895573670316826,0.377745313794676,0.38429714006203014,0.45346831649004715,0.4861612644800474,0.5642329905703456,0.5172168642329992,0.45361692274252946,0.4042849462885576,0.4284903995208722,0.3802523795678238,0.35157323935678647,0.3950273716353529,0.6576324598567181,0.4562811329397081,0.46276644957396673,0.5340399604917705,0.888565476385478,1.5814564721034796,1.6904525055210504,0.7938147986489629,1.5839944276663196,2.250574610157167,1.1084122827490555,1.2438129581521857,0.7924410890041164,0.5573565300618616,0.8965025571481119,0.513445074836766,0.5358777652666838,0.5374091242333505,0.6620926502880897,1.0245832659490015,0.6373392862701498,0.6171373566341534,0.48432800019868494,0.6256269685396202,0.5248450903288789,0.557277132664446,0.6418768656426669,0.5020846428145931,0.6319247856842553,0.6456765798725866,0.8042400450242772,1.2028206888126798,0.817196300037475,0.79583248786544,0.5550699553452608,1.0564660748168535,0.5022247233875706,0.5269796582871054,0.44625310839934024,0.4787611748541685,0.4330460799891233,0.4823365654399799,1.0960277610155078,0.5319430471923019,0.4852997869625633,0.3697691023869238,0.38351755244558255,0.5341921911581864,0.4183856452028634,0.5952876673704699,0.5016620165098004,0.6856863655431784,0.5566626513732867,0.5303739259971632,0.49751718549896795,0.6020793367912614,0.5988495456801781,0.584719369096982,0.5942741319821362,0.9059478851037384,0.6318934973274971,0.728892477457261,0.497642397109367,0.6123186879233901,0.5293514332417827,0.5422122305265216,0.6180011853607933,0.4507952335407008,0.4653170022171279,0.5423737494453426,0.4222808642525843,0.34394718239781835,0.3121802271521721,0.3176145560128098,0.3228080459764725,0.3654561497402285,0.4559304882118501,0.43138755245604854,0.5421941866200563,0.5191592280957807,0.4694676611674137,0.4169549791865137,0.47405079110246084,0.37448498274352204,0.3377161179885329,0.4062118410106085,0.4648034318378259,0.3548524611914285,0.3615039697726841,0.4006912005267825,0.4452684438293675,0.45831778788636596,0.45770789250658933,0.5019764473050765,0.528681233400126,0.6140697607999855,0.7165798133926752,0.4918893752186784,0.4813174308839868,0.46330697720888514,0.6751001980333807,0.676513879490219,0.47956819490213454,0.3845971918881212,0.35501342364023597,0.3302720171261005,0.3151919306951805,0.32734096149738184,0.3295782014821181,0.38037774531410123,0.5219311032958407,0.6824875962481615,1.2791333803872544,1.7715591478772708,1.2561573478207886,0.8345191813243773,0.5612683926009308,0.5813495868543794,0.42075525345632603,0.4918767014097244,0.3486903576214604,0.33633300927086796,0.36425599549585774,0.33782426637257534,0.48521020171082097,0.6203739540932836,0.6018365345602203,0.8914069340860729,0.90903635466117,0.8962583527100503,0.5867543918199251,0.4558846595443933,0.45765206663301145,0.3761020942523577,0.35743365711581826,0.4521115569532115,0.47281069895358224,0.7080498703024176,0.4188893311368058,0.570883289979887,0.519554036601927,0.3772976757456329,0.3824757548305674,0.42196273166334614,0.469352264408467,0.472276663016983,0.45663199727263426,0.7499404251373151,1.9459161539635668,0.9013689441672801,0.9795106259165715,0.7562372626863733,0.9069462236180077,0.9332139890687389,0.6673067283532634,0.5424228870030804,0.5453949011999861,0.5048636249200428,0.5078390180858567,0.5487827217359235,0.4639274125174944,0.5377953546923436,0.45463044079474296,0.5229720074175255,0.5428005681039463,0.5489442496540167,0.6269042878967367,0.6043076008355904,0.6755399697040555,0.600534908918193,0.6850208640920916,0.6990946415877497,0.7246780491071746,0.7848934261828648,0.8501459300497208,0.8992397324915541,1.0945548460982735,0.9856773743675694,0.8116640843188541,0.7831378060619115,0.7688578294766896,1.566792569133983,1.0416429214458083,1.6063563378406607,0.7375328916806416,0.7696282360140208,0.97235150002943,0.8810635840171824,0.8711882078341436,0.5920182284782922,0.962909625491448,0.6959588767687336,1.0217967577637819,0.6320094187011691,0.8983415918251193,1.0508398756627504,0.8979816052375555,1.2086357648411405,0.6401896260162728,0.5692988515459302,0.5616562601258576,0.7056716850144498,0.8422555010454,1.1246515830860153,0.950681257014063,0.7573358120411608,0.8585438727357954,1.1021593731453518,0.9526961447200949,0.8012568046944466,1.076952201850298,1.2160178758100837,0.8934562150164502,0.9300257636255062,1.1200063832458587,1.129536481301423,0.8976674359016165,0.9464649390056628,0.802133012454392,0.7975888712325792,0.7445922080102878,0.6919265859397765,0.775501215954611,0.6374109740391652,0.6255805378828367,0.6564868173417133,0.6793894402699193,0.6070190349507024,0.6837659453150873,0.9097008707931578,0.8134118441992042,0.8112169129418285,0.8938654685358262,1.331983432782274,1.0577220594458867,1.0389376102992303,1.2448591406278802,1.3804681411787498,1.5955463625278055,1.2188212989808447,0.9201011617070857,0.8089626428157701,1.1919131848544617,1.109151210590814,1.1900442461644372,1.0349172177038874,0.8008639387212724,0.5809350975273421,0.4817050841331962,0.39987008725941975,0.42779554250271246,0.4497037931496181,0.6159828320400096,1.1359787142259368,0.4589807765935349,0.5503414418616136,0.6062881065494453,0.6428842733792657,0.4897106403556341,0.6538897489072786,0.7426266034791834,2.282409931758238,2.6998994666600793,2.5375851774708584],[0.4296136351083811,0.3959929315370911,0.4801063667916321,0.32277946307739036,0.42688731663117624,0.41732594277799406,0.2934691037390063,0.43040659275782217,0.34853319593899684,0.30533480954789455,0.37288534128166206,0.5182264319664945,0.3352303885937463,0.33527065720147714,0.48200076512294,0.4164221893876881,0.415776167912243,0.44261344056869084,0.5062277279894453,0.4440829442249222,0.5450905276994168,0.545250335391898,0.6570749180233983,0.9763292346400352,0.741725850681123,0.6895895411100936,0.47005735218005784,0.40592624685211215,0.37947208714536274,0.37651169840493776,0.46178873378223695,0.4972250030657106,0.5890508263915455,0.5529653636019249,0.48549431043522834,0.4027024294707668,0.43670103366002416,0.3879593435419341,0.3557292181017239,0.37228540747622807,0.6464940737330783,0.4757379618858073,0.4804343567191329,0.5551342449011808,0.8923680460869109,1.623299383231041,1.7549787543042665,0.803878223888975,1.6304903091712375,2.2707090179798133,1.1725054707651936,1.2012909088008923,0.7655550388609386,0.5604068485700223,0.907803897211014,0.5183041540939382,0.5524446986593228,0.5343764340518905,0.648707759953672,1.0467597393748211,0.611529320506374,0.6428290622921413,0.5286278684762884,0.6767331845640341,0.5477212904427124,0.5606561349959013,0.6899941587655857,0.5206825431971974,0.6441179444493564,0.6269099991030672,0.8060288789866679,1.1871464788000452,0.8140461863460838,0.8363343606567865,0.5685394865513481,1.0888936603983543,0.5271080861892837,0.5501024585424829,0.4639389317804533,0.4686076247097803,0.43453051494432754,0.4690002501443033,1.108060436552837,0.5118157264852391,0.491646352830749,0.3724453409533212,0.3825748048750288,0.5310529306611911,0.4124992138006392,0.6234889416725121,0.5272633722185621,0.675340523402133,0.5760123490040835,0.5664941024742459,0.5188284090235745,0.6356186794609682,0.6246812158873846,0.6062819932588869,0.6107822690775523,0.9612686148184121,0.6560150052615407,0.7513532700510983,0.5168564931308777,0.620360637360806,0.541466323634068,0.5256314924118153,0.6270817167715731,0.46255385003357885,0.48407008220419634,0.5581363565162223,0.43826816577807376,0.34853184463710263,0.3266284401508248,0.3297850868389125,0.322148385434876,0.3763946215144113,0.4476506342281308,0.4598344210183399,0.5969392289783946,0.5340724859559636,0.4846002710155559,0.427812531081874,0.48258520453460535,0.3716313873143332,0.3448314798753246,0.4217774675454236,0.4808848839114267,0.38716513015021753,0.39756073824095894,0.4220488451624612,0.4997723568776555,0.5036584247545277,0.5157498797235267,0.5066333066354132,0.5783174505695091,0.6521621992010579,0.7605669571636766,0.5581320250564051,0.4932660873340822,0.48448547113186147,0.713031985955657,0.7183757060456648,0.5127011843379956,0.41310170461336415,0.3785879898118849,0.3390895615645318,0.3224695322233484,0.3414073197094392,0.3338852270014731,0.39430740115123236,0.5380701070004127,0.7075045320189605,1.3356418010817295,1.8723146044881982,1.3137191488858497,0.8921537516156048,0.5825193377570839,0.5946189505704333,0.421297616167392,0.5127765184988758,0.3533714675030732,0.3434884671404931,0.37623355087033455,0.3447390168173543,0.4763595920583372,0.6496575826528884,0.6575627654050308,0.9647514706775242,0.9827166725755271,0.9470678471844166,0.6434051047726262,0.5034812124428082,0.4683057481938065,0.38688287580613157,0.36342982525807277,0.44715398633513936,0.47461860964348435,0.6865002087651567,0.42341086727385047,0.533531353705832,0.5315598348000595,0.38585522423231616,0.40334992171973344,0.4403003298554822,0.4833162099098085,0.46924565286906533,0.45464339116958447,0.8000440386355696,1.9436659655714337,0.96030789593388,1.0657994845983734,0.8081581776704896,0.9765871239272602,0.9989620958385149,0.7342347818157692,0.6087287574046619,0.6090918703508689,0.5805519824499544,0.5795405343005258,0.5899973238610813,0.5375169638755213,0.5847895012280496,0.504672895151907,0.6024153089117568,0.6391172212462455,0.6294711376018696,0.7103374525681552,0.7123581867924866,0.7733187900367153,0.6950552822225138,0.799295058534133,0.8328833978499283,0.8405817096091055,0.8751722403779594,0.9823453373146336,1.021335554681221,1.219947667379982,1.1356675119449446,0.9491868947376626,0.9271041362470255,0.9237612768339325,1.5758888287573671,1.2294031308279607,1.7160630190320254,0.800452024948974,0.8684334276943244,1.0680556034526778,0.9839493429879745,0.9941623980224857,0.7011742689405736,1.0329565743495437,0.7695258709859277,1.0572651709424388,0.7199126599870521,0.959561009380299,1.1521012045827899,1.0014002986329371,1.276569822964384,0.7197932765567913,0.6026720619082617,0.605729278872284,0.7682137364544008,0.892593668966157,1.2135867817565191,1.0028658513902733,0.81141102218467,0.9403002832316286,1.176439460031724,0.9984258674599722,0.8711010249349571,1.1582634124071625,1.2861733371709296,0.971655311361469,1.0403629445935891,1.2349130805651367,1.2294157998398028,1.0249053320757198,1.098970757240465,0.9388092610566626,0.9239364228114535,0.8516400105949228,0.8120935179875683,0.9121535072270972,0.7562826788858391,0.7290093606949989,0.7880054109993065,0.8076707706314598,0.7245323053289079,0.8069542565483948,1.0360737298981277,0.9431005325037861,0.9302168951272924,1.0299165788777902,1.4337568536038727,1.1745507306542888,1.1525745106086516,1.3948599364440182,1.541093200665381,1.76491005823644,1.3394875994443713,1.0148037864609762,0.884179456817023,1.2567526028150815,1.1856036145769833,1.2933849326627973,1.1162686059003029,0.888885357246821,0.6331464142278964,0.5348718362035695,0.4513405802680946,0.45850911059543703,0.500607595651007,0.6909146211020007,1.1698706717899077,0.5056444996543674,0.6222050323546765,0.6500525048802148,0.6804870137081778,0.563379148274236,0.6745015907574867,0.749254689846645,2.2385599659742326,2.9737663666911422,2.7765925945127483],[0.4860967288829579,0.5308513228349652,0.5676340974116265,0.3960229685157869,0.5076952547128589,0.522255182605623,0.4401582514988933,0.5425214262084898,0.49678403312282027,0.485212579014453,0.5210410478417812,0.5749634361930204,0.49526218782796544,0.5623084205687549,0.6282820474219868,0.54641875014465,0.6228232798795343,0.5922944861361145,0.6436233064665662,0.5964235024535726,0.6900395604438662,0.7208191904958057,0.7275954109720391,1.0305581806980442,0.8253226132012196,0.7794048648959434,0.5790788494977404,0.5350415991484762,0.5260340667754494,0.5207101177774511,0.5775601428340155,0.6075333458952433,0.6618312296653659,0.6201894377058547,0.5730129085587848,0.5406030486621916,0.5392900242311136,0.5169928302119514,0.4981713690542153,0.4918570200420058,0.738264577183387,0.5772929545639872,0.5693867063712036,0.6517963228121568,0.9865966461950488,1.591522556276823,1.7472138837055546,0.860937874271527,1.516122254329036,2.2102558469468057,1.1255758639298787,1.2405531266347058,0.9065294555262747,0.6751629845310543,0.9266282584882386,0.6135642984483162,0.618999900035034,0.608550452069512,0.7102800477308505,1.0902478827235103,0.7239249472714393,0.7189133245597764,0.6251011965658452,0.7575309690659908,0.6544275998351958,0.6402621493549664,0.7577023358869563,0.6492943008819044,0.7486319155894801,0.7758022184508753,0.9150834095799711,1.287474870464274,0.9272619328357758,0.912349063262589,0.6787324441746501,1.0838245525480392,0.6393046714679931,0.6295984690202028,0.5749776622497562,0.5799768669810325,0.5436729681121747,0.5427644072698824,1.0834438123042665,0.5878992466855087,0.5889818506007086,0.46588676981534305,0.5143648927680579,0.6039668240904504,0.549444456999496,0.682207988841517,0.6310572778516759,0.7630755824177345,0.6467105704343677,0.6484019438964586,0.615591585732115,0.7069437052421819,0.695349380011583,0.6601906158592583,0.6523747800723937,0.9551594536700718,0.6990311206787252,0.7504863150216086,0.5707451462712847,0.6632227624579958,0.6151433254822338,0.6447606702069861,0.7151051786640773,0.5817776014210018,0.599688261596903,0.6341296566878225,0.5673346473868078,0.49102020117735934,0.45746218824444224,0.4842014240497317,0.4980892778055388,0.544317934787576,0.5723346746264925,0.644578927750341,0.7785117078366581,0.6875620659151926,0.6848704174565645,0.5993175831430843,0.6662575343292827,0.5558091909113755,0.5097158975886893,0.5771432872105681,0.6372303313906783,0.5092160779981446,0.5335228519608641,0.5476295277278348,0.5995197956779581,0.6138020485142045,0.61581999294281,0.5957326802288838,0.6565315077848537,0.7364294205908468,0.7895190734579516,0.6103435761352775,0.6429470895051821,0.6345539629455671,0.8420988375166535,0.8771805028939638,0.6840758861949543,0.5817482845146589,0.5421341455713626,0.5000172755550792,0.49445689385149005,0.472129230424981,0.4543551996497734,0.4871137392927173,0.5755393313436593,0.6977838535147831,1.263700315417016,1.6736488559927996,1.2165555111407027,0.8516935391861373,0.6152827079371284,0.6357143905916705,0.5079909034858984,0.5438159325060831,0.4714133221388252,0.458906077713785,0.5400990795751874,0.49577558064034244,0.600019935988192,0.8073762250413067,0.7440365944610479,1.0402206532585803,1.0644167432115343,1.0325293941976859,0.7171894640571335,0.5843849843876069,0.5699623900902161,0.48890684743834617,0.46850927029593087,0.5462388720529291,0.5626407778887774,0.7754895801253772,0.5146359781101993,0.6481290809349269,0.6302364333471276,0.47593709931936456,0.5123883045090999,0.5784290020819305,0.6067192349239983,0.6148757678330985,0.5653825078917039,0.8348968380404054,1.89970109064586,1.0447164203220456,1.1820624911788096,0.8930228523146031,1.0490102680646842,1.0665890865665206,0.8132976545384111,0.7059525544202678,0.7030006605986495,0.6794411621930212,0.6986534089233813,0.6982955694434101,0.6983726798628485,0.729107148147079,0.6355943488505957,0.7333970264528764,0.8076354172000152,0.7978604167608142,0.8012373567163662,0.859826966710811,0.9775975285863153,0.8573059802125428,0.9354167530627067,1.0375006418137749,1.094722757149592,0.979123908650914,1.120443242274372,1.1200957546908075,1.3369835829042132,1.2629641953889537,1.1041820526469555,1.094810296283042,1.1055837119000296,1.6949945418673413,1.3780601866332667,1.738088860594357,0.9717896524185113,1.0852072210176027,1.2873047108782338,1.1855034574312657,1.2317479973446444,0.8810622175278158,1.1619139515034511,0.9215826732421558,1.117696595345545,0.8591216522894288,1.0672708882319,1.2794642647233385,1.127133432908586,1.3788826274812653,0.884463262261051,0.74693483604114,0.7256714671352192,0.8807662803389379,0.976481608590799,1.3237249724287452,1.0993072468814549,0.9250523609221492,1.0950708114119347,1.2994250907312006,1.1170478789523812,1.0390889450074976,1.339685903701882,1.4766006887699086,1.177977479297724,1.2602924021096513,1.4760854747191368,1.4921132229098537,1.285762526453412,1.3566959592642442,1.1700653098172857,1.1387241931661205,1.0384436728766395,1.0089805672729801,1.1113463475186314,0.9389021322492992,0.8879535147625387,0.9667486994766665,0.9692795735024873,0.88105402171,0.9639690533829064,1.173819657369386,1.0652719598304639,1.0594736924568244,1.1707044725926297,1.4891504586477162,1.299437400974341,1.2613800599823042,1.53880051546381,1.6749434145658775,1.9228838021852381,1.4451957385981815,1.100899970437074,0.9520424399815994,1.3258745020934193,1.2735907502381718,1.3986630808079858,1.200311747235713,0.9884707750719172,0.711321468885385,0.6479232654477337,0.5459125892569441,0.553305673985821,0.6346722331825982,0.7707258803386704,1.1458784565739235,0.6315489704839978,0.7264764781123815,0.7050072207526847,0.748346849603972,0.5838453538041014,0.8037119904563246,1.027946773960031,1.4844019401544128,2.238960011720685,3.0829700964844875],[0.49421290840614146,0.6161385273813608,0.6778359729665261,0.5229560299223527,0.5876881400541727,0.6079189208819645,0.5422130595416244,0.6795014926307809,0.5891064289594554,0.5396739277146057,0.5913606340014184,0.7313996322109187,0.5869532016690613,0.5633998262493279,0.6879252083738482,0.6232209906688894,0.5785823016118133,0.5815364767968303,0.5616456626742414,0.611084940505318,0.6590024535778782,0.6955616802594929,0.7301447835514735,0.9277081000117767,0.8134577900199154,0.7081279241249471,0.5713591661266656,0.5374171199915176,0.5652481755568574,0.5836033985985467,0.640873757545141,0.6833889984411171,0.7580329916411142,0.7151394826510771,0.663670423786752,0.5852573781561392,0.6298928098635408,0.5914211625239895,0.5515622985514744,0.6089031063310029,0.7548826531273386,0.6116148458262136,0.629510081815784,0.6946705155083858,1.0490192645008996,1.6076139756849233,1.7388055906078526,0.9122491172755812,1.5154421785689416,2.188913907406023,1.082128191784512,1.3818122387711282,0.9705503775493841,0.6753892846354708,0.9890260682488552,0.7013326398548497,0.6743889230580771,0.6981202657629013,0.8076798843594345,1.0747627809821552,0.7961708578819328,0.7353506723803606,0.6159256932849314,0.6976551251431493,0.6603007883211105,0.6955521192334432,0.6877592727589056,0.6331539725394516,0.7332084130722082,0.7986458889016551,0.8783888300246213,1.234211568473663,0.9303410229161937,0.8642079959958479,0.7121668581529527,1.1237095300056221,0.6534237718785368,0.6886623354175734,0.6096037241516442,0.6465477175837996,0.6284472986946815,0.6820062114129707,1.1601213748412227,0.7340351257280913,0.6364183855040451,0.5880879101241385,0.5892673403104314,0.7077512293448057,0.594449931558054,0.725676575888242,0.6736275828452339,0.8270388322918869,0.7255667886018243,0.7429923757095013,0.7103880222800217,0.799733685290306,0.7684445785615595,0.8034046263720229,0.818879892603466,1.0725041465675056,0.8618632120682407,0.9544862428888319,0.7555687661774846,0.8195340539618735,0.7147519378332475,0.7889257458882648,0.823021229863222,0.6945678500733342,0.7011848215232056,0.7434041355542267,0.6694590786805282,0.6122263251951682,0.5722302649256832,0.5229749020965495,0.5249518884555526,0.5164581247641153,0.6294293493569072,0.5435144680151696,0.6067745674247591,0.5884281037502174,0.5525962613728173,0.5407453071691479,0.5559818333867798,0.5083427788485254,0.4990693805257405,0.5974718895097657,0.7403804161837179,0.6018585910462946,0.662395832853009,0.6732774958285942,0.7292933331844788,0.7674410495518768,0.7319316117484248,0.7308645204718041,0.7389413690775477,0.7988563122605797,0.8723640664129377,0.621323860378629,0.6784112402630909,0.6267908951155131,0.7424944072080462,0.7820432039689398,0.5822648366796251,0.5421281227028006,0.5295110281616124,0.5399970974389928,0.530527395786588,0.5406910240135941,0.5737108750871073,0.610682770879297,0.7382747349268532,0.8779599899686639,1.4180842663720703,1.6961269178790443,1.300323305690286,1.0243187577071455,0.7929897533855705,0.8130468434058151,0.6673533676528697,0.7128750111227151,0.5811517099587158,0.5599343096400926,0.5519651416120761,0.5493783437390664,0.7179158262147276,0.8095641560239345,0.7762040724427565,1.0563157393557874,1.1020179880198149,1.0770358325507887,0.7651938065878277,0.6115150436926062,0.6613721490280619,0.5778026249587778,0.5876612370007575,0.6840883838269893,0.6820718976695009,0.9517670638969112,0.6570613742989757,0.8238000118421032,0.673422462695807,0.6160603430416227,0.6332565360269828,0.6847769197737353,0.7062321964825162,0.6859766620902737,0.6154212672730959,0.7578182275302292,1.9119960969552634,0.9670570694598136,1.068552508485839,0.8985996928043352,1.013725684229696,1.0523403729728844,0.8600600250103687,0.7998131563541884,0.798785585460749,0.8149036064313726,0.8205146210631242,0.8291948739732135,0.8174073266950523,0.8379652664329004,0.7607721781659089,0.858591181531647,0.8926016591075846,0.8765246029853714,0.9418927429055928,0.9659409852795128,1.0050712055590336,0.914565568651275,1.0395333633369952,1.045649506739983,1.0899463954503579,1.0718260806728925,1.216938258194292,1.3104455558006007,1.3839932032755928,1.456485090428176,1.2281540343845474,1.154996294961957,1.1706521296958694,1.62964554442962,1.500923374610638,1.8736934432258168,0.9867969001520381,1.0941911123936015,1.3321703464041945,1.2390936459319124,1.2691287874424162,0.9806206751327737,1.2512093239791133,1.0101106748888111,1.204702518881045,0.9806430786466546,1.1667064590214375,1.333777558479936,1.227655301906836,1.4213513160493838,0.9883088037887743,0.882946993826869,0.8474578774946779,0.9609869951872204,1.0455636585229222,1.3746666141303863,1.1955381005592045,1.0056276688430772,1.140697232613328,1.3498447554751372,1.2209396416097642,1.09828103341055,1.3710845974090045,1.522380368641363,1.2074560685078675,1.256108242978931,1.4601714194115847,1.5112671999902638,1.230414632360798,1.2781633194973556,1.1244525200107727,1.1105688573966057,1.0680407491631385,1.0316726381376613,1.1091559576855539,0.9803422906363086,0.9523954191616762,1.0279572223238216,1.0467845017438626,1.0022151149962966,1.0752100803063995,1.3158111228935216,1.2324054998939642,1.1886453315856071,1.330609097929494,1.6650574646910603,1.4880240266471318,1.478197088191582,1.712494203625144,1.926869124157705,2.142167858745116,1.7439350474937176,1.327951305843006,1.1861729678284085,1.6326182920001124,1.5151361604781624,1.6296818648339864,1.3781150344867925,1.1615756878939345,0.8305490882087715,0.7758487419527501,0.6402218203244954,0.67221147352275,0.7339393800830558,0.8299772351316013,1.242474571449397,0.7273819783573339,0.7820056564893206,0.7924873148626047,0.8913928001405836,0.6435498913441812,0.8843186214755452,1.503897404398698,1.1300560405108397,1.8371300874648062,3.51816525351012],[0.6649914762779102,0.7100276978237666,0.7068862406114558,0.4925686084949713,0.5872154953520385,0.582655385931976,0.5487030048634535,0.700715873151373,0.5440396694190192,0.44586471090633895,0.49288303869803934,0.6402036898594603,0.5080986174153073,0.4449901744821972,0.5357713125439308,0.5084680629201017,0.49988559911456193,0.4712184331532226,0.4958210610542233,0.4834205560923387,0.5798382729373054,0.6304851807769704,0.6927985775029075,0.9461101673488881,0.7737026670361613,0.6594738523138729,0.4910451562550741,0.44575246634188664,0.4497569829787343,0.4946015315658563,0.48861678545098675,0.5872441683755693,0.6360197112161775,0.5903734437448495,0.5583627297144793,0.4724803130904675,0.5497784281379466,0.4965573106237284,0.482670141536083,0.5335368172808893,0.6918763085373671,0.5368577856150388,0.55725604525227,0.6199925841903341,0.9572004589404769,1.5262357373341042,1.7467462760611991,0.8770057716422959,1.442065601336256,2.220544141052416,1.1014360212093839,1.3307437516313634,0.8816852916785045,0.6174915145355152,0.8896126757004204,0.6019873061015136,0.6640988366845704,0.6160177471012339,0.720280535233482,1.1451039529175058,0.7181300709616715,0.6679399862735664,0.5442285123632918,0.6069827364101544,0.5844434690647948,0.6161130395432158,0.6042154351383083,0.5038057142764483,0.6447577654764459,0.6647453355097741,0.7854864411431811,1.143754410578007,0.811206268605801,0.7832497229160965,0.5555779888590889,1.0314064757531722,0.5314171909308498,0.5614160701086659,0.5085628444071603,0.5864304976038353,0.5639438847833769,0.6083848805435838,1.133791454937001,0.6595226091205582,0.5982052013595143,0.5472260322857897,0.5158843869347461,0.6373138465565354,0.4962428496274571,0.6435194863604164,0.5324005490757298,0.6986960390553872,0.5815268303399501,0.5749944603042478,0.5470027407985533,0.629715574207971,0.6321539471776615,0.6560781549245469,0.686124995113996,0.9694654509114043,0.7644474419130662,0.943040735560631,0.7222951866215906,0.858988668286333,0.8007394526256488,0.832774032061613,0.8922684335242529,0.7889999100307117,0.7897547270196394,0.792891558639391,0.7412291627844432,0.6479880445878702,0.5614881721783441,0.4870667354939169,0.4677902423002976,0.44776743186986634,0.546254251639567,0.4844819986742073,0.5799851578666324,0.53891037766868,0.5093169560552776,0.4875697583464419,0.5144671048688085,0.43936527808097897,0.43491234183944183,0.5028877755575166,0.6413519067096692,0.5731799775318792,0.6416534981019579,0.6506021163319055,0.6695045541386847,0.7275656375281522,0.6736112036394581,0.688909940533662,0.6497502023495779,0.7239538032205355,0.7585795514041265,0.5991774467303551,0.6001669653154306,0.5651227907544093,0.6899801239483366,0.7742183336292872,0.5242442581557331,0.487534023824091,0.4767839874587913,0.4770914675807733,0.4690511881304826,0.5101314170333758,0.5580160629970553,0.5978533635780054,0.7662143106198152,0.8566940550290305,1.4033293732078316,1.6673908968517295,1.2324147154152056,0.9624832404243465,0.7253090009055293,0.7948437034169246,0.6231490602089516,0.7209659822518638,0.5561413065069261,0.5000491788145551,0.49475896136974595,0.4978277788086816,0.6148640259048648,0.774330392727156,0.7279867359431199,0.9999881172925659,1.0165955175665629,0.9924692710573969,0.6888054684185786,0.5824331916923692,0.6255396117014828,0.5547385999833481,0.5559862121293458,0.6766926311840985,0.6760866778990776,0.8768941806369474,0.6302419551672908,0.7670239451409787,0.6866390714257297,0.6252614913193504,0.6401684882769452,0.694029555759474,0.6631411143709606,0.6660593223153475,0.5689690633517149,0.7252559941798373,1.9604632596473572,0.976653847634224,1.1225515315749195,0.8857926674329379,0.9936747866095635,1.0300226112467554,0.8313943065773558,0.7789012898137632,0.759302372074823,0.7442364838696435,0.7680665324776025,0.8212821126518874,0.8271086712231913,0.9354754022742818,0.823193551155501,0.8319634815736322,0.9543462248122971,0.9856832293742085,0.8596799508530909,0.9408787474952416,1.171480258962991,1.0408071317577827,1.0085648083209973,1.1922361684978402,1.3902498579332534,1.1190533161109841,1.15668065484098,1.0770818173014343,1.3875654027207558,1.2259456159156297,1.0801424550363485,1.0990094104230734,1.1195199548362176,1.5876754227686376,1.4077693966678415,1.6954463825006114,1.0892920487288344,1.1702750569348053,1.3837593495592513,1.2451761715327154,1.3161154657104002,0.9682796047089641,1.201743143982488,1.0077945992696293,1.1940183333416055,0.953736946030797,1.1067452246643201,1.392281275982287,1.1657321056198973,1.4109552515329935,0.9695105592870439,0.8649907165783628,0.8435070448693529,1.0220037181578203,1.1591569011740521,1.4077069443603107,1.274365831244017,1.132158187230785,1.2711325582348876,1.4777345999471558,1.3170879661939838,1.2452076457568921,1.5365037631652143,1.691123882104507,1.4136839951491444,1.4728920344171945,1.689063798407832,1.756620785120239,1.498449217296947,1.5316382243464046,1.335194012354945,1.3010473966078848,1.2085511961470656,1.1420940071941945,1.204628456910926,1.0399996188270995,0.9937130557559276,1.0180268497462175,1.0033091341771105,0.9321546697483792,0.9997483210177873,1.1762234193338623,1.0819461647190527,1.0949453176789339,1.195534434175078,1.4909570057581716,1.3366786547905702,1.282445713865914,1.5520626100515542,1.6852633346666777,1.881740989833706,1.4003231647041794,1.0669293741556463,0.904302281271149,1.2535852240054408,1.2136186777267874,1.3759163331661448,1.1812477454272525,0.9867272255252159,0.771990409092877,0.7392298176982778,0.6262658398718436,0.7627615215669404,0.8010077840817947,0.8597309411685682,1.276784758820422,0.7863231862333279,0.8686772946596616,0.9132349896118427,0.9021657822786819,0.6998531210563717,1.0635998227673829,1.8351652161365872,1.1548368808373048,1.8945569639261333,4.002923337418942],[0.9311979320499341,1.0367759152954263,1.064235067912791,0.7497490302810068,0.9059368209175015,0.8756104729303594,0.8249636958535658,1.007069143929586,0.7591344577649483,0.6617033662558254,0.6763213249185385,0.855101462291773,0.7492288840342995,0.6110527035712036,0.7043287831880574,0.7149436654556118,0.6941028924031837,0.6639446328589083,0.6421295694891935,0.706906298536748,0.7620877427307158,0.8585285202845758,0.8689521841362321,1.0621739854988923,0.9405053450003331,0.7987169308973017,0.712812520896236,0.673391190438296,0.6910136445594424,0.7671511728666403,0.6871673255692996,0.8413761306348052,0.8811389595677427,0.8440763438102329,0.8340669656218269,0.7342332771796534,0.8500795432533846,0.7949418849224292,0.813571577950072,0.8861029652409407,0.910622251475157,0.8041134489571988,0.8266019916147291,0.8704681224658074,1.1079239476175424,1.5761548008802746,1.7575121201061317,1.0020937024779282,1.4739806464541951,2.2033269961148867,1.1904098633988198,1.5576958159574636,1.160242174987526,0.897892556010561,1.1532018710790979,0.9365782095449576,0.9407557912567919,0.9194081178581139,1.015568259984182,1.3118265144521521,0.9476153440566304,0.8768920467257735,0.7618630046441592,0.7584069590496061,0.7950572314365254,0.8428646426047284,0.7416505248981909,0.6809899966429065,0.7502296196998092,0.7813318457602699,0.86190141678921,1.1560513691230667,0.8584467703349864,0.8334639798460433,0.6959976753629373,1.101586925837112,0.7449432946893715,0.7777176037082694,0.7551931565588578,0.8583644994836802,0.8967584756709455,0.9769015261400361,1.4201770521297492,1.0510112449937346,0.9112985046141048,0.9052589384019044,0.8380969411622582,0.9308355876065756,0.7538568616250875,0.868795110479,0.741859618643846,0.832029270560111,0.725994842888659,0.7820889351884034,0.7462499166784594,0.7963018627309913,0.7688258982079654,0.8925848333695565,0.9399280276799962,1.2170667576902556,1.061271695750157,1.275908660381515,1.089781130692139,1.2560542242686592,1.198835562487939,1.2415982360592035,1.2860832468370422,1.224726221315553,1.2141655067612707,1.1961435050544937,1.1290030754611582,1.0180122697957046,0.8986589028271941,0.7967176317289042,0.7307186833335929,0.6678942518868121,0.7567854603077978,0.6616830441037886,0.67547469091091,0.6550007113929723,0.6109096936082647,0.6084309746451955,0.6261153524703876,0.6217710654143375,0.6554107084433335,0.7724036882094638,0.9357575006067897,0.9261165702534546,1.0281660002078081,1.051879303266414,1.0520809267349052,1.122217447334227,1.0503336361407354,1.0805273094076633,0.9894496166379015,1.0121407099954292,1.0286457759581322,0.8658777068145111,0.8779315516447678,0.8397510338897547,0.8747436102998452,0.9675299757433967,0.7280344053192785,0.7523512222597086,0.7634039576606922,0.7762596608866292,0.7701893468163854,0.8128785542211975,0.8997026428738932,0.9110054958733801,1.1082649203394377,1.132974727122625,1.667905760739702,1.81063857513614,1.4070299558420816,1.2449899055771536,1.0345036388703608,1.1403538791027543,0.961764417903881,1.0899032086085452,0.9146081622771777,0.8353836953697421,0.8063847325079573,0.8354425024750972,0.9428295981663745,1.046928597129458,1.005887935014004,1.188188100766006,1.2089124305815813,1.1836735721811085,0.9656006570227479,0.9022673489054176,0.970830864809967,0.9057422737432925,0.9255102918459714,1.0706079555811323,1.0101547842075809,1.2459767927469845,1.0190569548584574,1.1762467440275712,0.9698865700577292,1.0372617937316937,1.0435965012702633,1.0841679019806805,1.0237370866128022,1.0009528734324717,0.8766646990831973,0.9225575232670746,1.9596560701672376,1.1389882665174436,1.281849765077967,1.1576160722816344,1.2228903234960142,1.2729062365213855,1.153430446949253,1.149427208945686,1.124595767502933,1.111760998319563,1.1427871275432104,1.2177014639200834,1.258643785864621,1.3899627523116835,1.2640211509319303,1.2449660576137946,1.3919861595075749,1.4193533021305804,1.2267555338119647,1.3472091850333696,1.6033835533427252,1.4429029979913799,1.386294064118492,1.5849506078625388,1.8148872638234606,1.448524428638192,1.4711481400392812,1.395481975723479,1.6828147363952999,1.5652185450653007,1.4314882548724783,1.4390919163843072,1.462077097634618,1.7966868340291966,1.7218469018504154,1.9566909216618087,1.4627248341447174,1.572543311029386,1.7939905181416826,1.648001503161586,1.708555938984484,1.3729943380651803,1.565792666239584,1.3512217213638305,1.4602654509904085,1.3270157467367758,1.4256901386522316,1.6368162977928047,1.4740155994034883,1.6662306403248681,1.3557793481836453,1.2771071884426475,1.2790686735533878,1.4530247924171646,1.6072699053858732,1.84343495435339,1.7338669794507662,1.5931111777413134,1.7235307970237135,1.9243279729442477,1.7620943939507083,1.6917592032117732,1.9699672048687886,2.1082229907044145,1.8510186188127398,1.913680065915055,2.1292858345939023,2.2174849190518064,1.9302721746540132,1.9360732791907338,1.7413913698390615,1.7242148385325942,1.6456704661902377,1.5733005942801856,1.5950000141340424,1.4536356698579105,1.4115098060197828,1.3989571398585148,1.3744183412247002,1.3212567099193988,1.3586544804296619,1.483746485584736,1.418376064070838,1.4095123637472908,1.4899108097691656,1.6675378732741262,1.646941793755492,1.5826317919718491,1.8915046411345517,2.001499123524968,2.1877465694993754,1.7084103045811783,1.3839463365159421,1.2157147225658598,1.5021276434060113,1.4560921998334297,1.6295737480911336,1.427386162106951,1.3142385666315233,1.117480832556029,1.1304155645756822,1.0051865657063026,1.1475510897392915,1.2180930925701798,1.2936990393425993,1.5925147536219182,1.178262270580007,1.3006190102396264,1.431821840755751,1.2883165619900798,1.1214593266410424,1.529538684347474,2.5664389247587236,1.7069007437425125,2.4523098237249794,4.864664623015685],[0.845068954238662,1.0073565030290166,1.1133582008098204,0.8578612396644912,1.0115448042136117,0.9437572295611206,0.906796541755565,1.0117188854159942,0.8223652471340499,0.7611152904069792,0.7436346155702004,0.8507521041168371,0.8325018909490105,0.7229420311395467,0.7648471802962915,0.7995784067736619,0.8153664691165405,0.788166821280949,0.8083286692086497,0.8580591128889622,0.9408727710656252,1.0460081259078156,1.0215803555612726,1.2140156905486548,1.0560620187883436,0.9452279150570831,0.8726510796820873,0.8240499707967139,0.8189453021030212,0.8693401214139106,0.7825296637500668,0.8864142720250535,0.8911708601892336,0.8749931210201629,0.8899154025080185,0.8313174993104506,0.9334216203594868,0.9045023624932944,0.9317811410562156,0.9825404012761884,1.054632325780048,0.9306921087534049,0.9681459906928047,1.0339076635771807,1.24504511102292,1.6312228472086754,1.8143496384614677,1.1216570581748333,1.4719807956615687,2.1710500899914367,1.2539180093409714,1.6382949689530224,1.2627489345781826,1.036089137250627,1.203542586847423,1.022457801306466,1.0500260249774434,1.0376314265907904,1.1168025685110854,1.4091508815335638,1.0969583547568544,0.9696098165426497,0.8612870243608285,0.8792405567374549,0.950201114542296,0.9616170980196944,0.8728813607042025,0.8149378246405921,0.9003653020139359,0.916926401218461,0.9519584258383196,1.2193013252298315,0.9685622820409048,0.9561094206761342,0.8206076166689255,1.1358626563460756,0.8460280613843586,0.8584736390067957,0.8434151072721591,0.9715251895495557,0.9600797479228297,1.0270293932871393,1.388745507719756,1.0732143280977922,0.999829798167179,0.9748662185121959,0.9249661225908604,1.012476700886129,0.865625237482219,0.9186181593028707,0.8097174430015591,0.91463524021174,0.792586494665032,0.8060747424610389,0.7858561108492468,0.799786489884814,0.8143408764609937,0.8763957785134329,0.9063051147668398,1.1109385326125207,1.0076333272482254,1.1815650893374632,1.0641070105250638,1.1977540030954044,1.1819598995267155,1.2328918953839374,1.2474729274538932,1.205892573030836,1.1907157093546237,1.1562485745095954,1.1274592714419183,1.063537284323967,0.9535250051583971,0.9190050774367707,0.8668165473102543,0.8336880064175702,0.8968565591413534,0.846813406981832,0.8360621457353268,0.8075232964096567,0.7714095566922397,0.7605575739908398,0.8153927774808315,0.7968320233313222,0.8012515557420846,0.9204065326427153,1.0462947934847329,1.032102277666059,1.1178507770430555,1.1179872735611098,1.149271068325403,1.1951044824481578,1.1536899977819244,1.1371682425152951,1.1084324560351133,1.1557634294882526,1.134592053353346,1.0220902570046513,1.0377339603767357,1.006158502325927,1.036432648229083,1.1384373604325682,0.9161452305992347,0.9293961148430601,0.921157257863873,0.9000456255349267,0.903375287094921,0.9152122123350105,0.9572780639761073,0.9446752509021592,1.067933082686355,1.0727761750279763,1.4940193990296304,1.6764450991844315,1.3104603006480835,1.1344642974030448,0.9947354653963701,1.076908758795719,0.9833034593413429,1.0698325880889215,1.009991136410855,0.9371244468951454,0.9548405901730274,0.963684360342183,1.0868155015289225,1.1936742840724879,1.1563472961263124,1.332253275889785,1.3387724982676346,1.325501749216884,1.1094458196056518,1.0485455760674902,1.1067206383347403,1.0067887328977276,0.9910863340882756,1.0930922938463206,1.0564095355567904,1.2201393631572397,1.0478270642801786,1.181059725944774,1.0522065543053556,1.0896164995253772,1.1293348047886478,1.1924526321141833,1.1363737302510997,1.1272410103240769,0.9863826482598048,1.0717834143846956,1.9309906318986692,1.3254106931109277,1.4843178768645433,1.3167060579275913,1.3791552191095289,1.4033859656551226,1.2690440588620004,1.2274388805278134,1.2173851271100231,1.1836651468983594,1.1930697880780556,1.2337241930553025,1.2083391906066177,1.2805106467491203,1.2128583267610855,1.2109624259756975,1.289927447960235,1.3211272778191767,1.2289020696139574,1.2755972233060584,1.4530257130685609,1.3842648531671335,1.3366118727597498,1.484611263925405,1.7135635779157574,1.5047321351249496,1.4546762677186214,1.3093552149219534,1.5414340092266074,1.3811412315673073,1.2917505715484312,1.2619305346331977,1.2806115602881338,1.5772361759102134,1.541340080289108,1.8075569466464783,1.3167181070576583,1.3946008487794739,1.6558048172264488,1.504385308891826,1.5727858046644634,1.3085988905409796,1.4999838498934437,1.3069585473317862,1.4350503335859193,1.3216078691097137,1.4426639397484446,1.6537759105508414,1.451147244804379,1.6680645232379165,1.3322078829447643,1.2399089316420582,1.2171285077713518,1.3401311426675124,1.434189862576343,1.5879115179669978,1.5013951681888624,1.4165916464109698,1.5083838929437356,1.6713927820558878,1.5594174651299422,1.5016988893800176,1.7150368985027533,1.8527141473723032,1.6469225895404205,1.6699545723285052,1.8483226263010535,1.9312148876956978,1.7142642379295756,1.688324036130246,1.5311763233875935,1.4917960236586403,1.4452142911777308,1.3668775179251764,1.3971979008401463,1.30782734820888,1.2721602620491281,1.2526430996603277,1.243939670087922,1.2545122158185562,1.2676746038517666,1.3721365222237143,1.3382394550060062,1.3787546494317142,1.435970262894333,1.6419150922204924,1.5847807078436567,1.5362984448500396,1.7893697130832158,1.8911457730458345,2.032584492764109,1.6546581972671424,1.3368225921965777,1.2238361812400014,1.5152741003660364,1.4893591213175905,1.656180006554869,1.4724726988658183,1.3271338603146041,1.1876363676573323,1.1826525072043135,1.089828880016719,1.1587615809361977,1.1796662303208139,1.2268691490228218,1.4055330777919592,1.1502632094809693,1.224724929472417,1.2788671609394642,1.1468115094166735,1.0684550197178742,1.4356135590010097,2.2781065575846946,1.6265597960727454,2.485336330119516,4.924023040429353],[0.78889737588046,0.8951319545514619,0.8922286014753936,0.7861592617564985,0.8723707772032196,0.909935789769004,0.8956698356059776,1.0038763086297322,0.8764462852132734,0.8254149447057183,0.8293443856936425,0.917780589051193,0.8823801654297101,0.8077116182498711,0.8570920893603943,0.8613242730779906,0.8592042411027189,0.8424055012318123,0.8408050702771792,0.875140381377889,0.9440825499277589,1.0188574795618806,1.0169127942088845,1.1814245937962249,1.0623922650345938,0.9486678129962295,0.859218403670886,0.8340376438988041,0.8369546989933153,0.8814519053269236,0.8412154118770683,0.9141709917227885,0.9365681819143085,0.9205247325187341,0.9124679849520242,0.8502836515062645,0.9183068832694193,0.8981272793085548,0.898702377947739,0.9179717783559638,0.9877101210699074,0.9160806316219159,0.9324249022698031,0.9786593292421254,1.1996399650263447,1.6182215224657688,1.7684421090092175,1.0539288931065087,1.4988684387262747,2.2002121652642237,1.1900790219776007,1.5580769293388568,1.1819170322571226,0.9447537448916834,1.158101418530494,0.971474509083865,1.0004474532408374,0.9994994778277536,1.0837870132756877,1.3521328187772719,1.0625677909333395,0.9800513620332331,0.8851052052661766,0.905332707238243,0.9594733640406494,0.9781434626682297,0.9044102628970397,0.8697686568707361,0.9635126193551464,0.995323974614643,1.0397221615177366,1.2952252263957618,1.0389284662027283,1.0102495424832345,0.8843647703825293,1.1951223245667142,0.8885496208669279,0.900864213870342,0.8619348894825584,0.9535490763771222,0.93030048389106,0.980324265066592,1.3637267699191458,0.9895465565314752,0.9162775922323659,0.9260266591265874,0.9029717454771893,0.9874197565729624,0.8755206101799705,0.9496184543936279,0.86654757880586,0.9778516455930544,0.8736456540160963,0.8888937901821995,0.8679215887290682,0.896681257658549,0.9071545750382901,0.9387276664605165,0.9519607687387922,1.1153056103037213,1.0148623365744218,1.140115608967453,1.017470651045382,1.1173083977485425,1.0541601076440168,1.0898969910832774,1.0624342622311351,0.9862173674034884,0.976418040562209,0.9844783954799233,0.9791912203979206,0.9601204087522455,0.9121007111524998,0.8656389815245786,0.870946214202853,0.8264963075110408,0.9201653716853391,0.8261178935545684,0.8532495310856794,0.8486964163621504,0.8139342654319661,0.8125068452688096,0.8139444859472734,0.802933712003891,0.805401076173078,0.8519891693521515,0.9277201677154889,0.8859438785758778,0.9117228500622214,0.9170168025680608,0.8768358415660202,0.903880711977144,0.8842347691996911,0.926564440936209,0.8922799364610565,0.974234568390625,0.9533377705747339,0.873662133084584,0.950772600159736,0.9179175598546669,0.9705086620079622,1.0513814306961933,0.8653939216602657,0.8724011059378329,0.867250374073194,0.8837391162689877,0.8797820513648092,0.8918586503199647,0.9174331147599827,0.9316615367020642,1.0196981058272128,1.062295026351964,1.462030292599827,1.6566689220063822,1.3050939705125988,1.1202963990463826,0.9968721759467936,1.0457957961555724,0.9635609311964828,1.007228996701031,0.92003297664118,0.8847160728135738,0.8724177094749754,0.8765771721615719,0.9532732724962112,1.0504949870416638,0.9578627245301682,1.1203045706377677,1.1239967881139497,1.1400843904837306,0.9135372251622388,0.9000663633983709,0.9600911100592114,0.8838300727999859,0.901990874756285,0.999392581060492,1.007564384076199,1.1628633804339956,0.970141235958329,1.076359579991396,0.9214963870988179,0.9390670183151815,0.9218107275452483,0.9625769531339978,0.9401019276317092,0.9710563224774812,0.8899540016595929,0.9378265747764688,1.9769127403094506,1.1252371237350065,1.2179123234506053,1.0916527390974358,1.1276524287363074,1.16094948524571,0.9871823176557396,0.91222134530036,0.9040176841105314,0.8439272655867818,0.852728623890944,0.9392297273526133,0.862708093272426,0.9816499113645399,0.9371041171237809,0.8749729650706276,0.9195574520833004,1.0105078601191733,0.8949003728954944,0.8761864492895305,1.079139682777866,1.0300245580939251,0.916125124873607,1.0173908739836537,1.3108998657135456,1.0637115038599179,0.9433943331444797,0.9454045871987652,1.1653214317870444,1.094595984208921,0.9470031373613528,0.8867946936180824,0.917667050152192,1.457116606684009,1.1928065497987013,1.5792858610133949,0.9754178693531417,1.0378050158191672,1.3061346171337678,1.1601809932511151,1.2223243986238514,0.9156505071202429,1.1721630553468931,0.957159377546298,1.1669730626814274,0.95411967051082,1.1264554322526332,1.351649472470103,1.170522049268283,1.4465033210668063,1.0112531536600002,0.9455533852981404,0.8711646039195007,0.9910146472210254,1.1404276237878848,1.3202954895447712,1.2520340116843978,1.1352621452623486,1.1912651798667055,1.4094445624210679,1.319809016118766,1.2024459582052434,1.4285949454862428,1.6020308043508231,1.3483232788186996,1.3062984376036304,1.500032898271742,1.5864359142495115,1.3058717480968924,1.2798618718087549,1.112880001630142,1.0934636774367872,1.0756554967663423,0.976464939279907,1.0007917239989261,0.9028568328408371,0.8889637921418485,0.8726159288774243,0.8680603990756252,0.8750312127135003,0.9156762632986749,1.1178708638760642,1.0355605293368797,1.0630602691827786,1.1347176691104206,1.4766742660833296,1.2766449974807426,1.256698648558194,1.483237052189734,1.6273307980057528,1.8303205997854524,1.463631946615072,1.0846881459241142,0.9641282077784292,1.409626586295654,1.3139638494814083,1.423562764289452,1.2515582535034653,1.029041118090716,0.9037136350460553,0.8877790909794331,0.8666866172417991,0.9399377630287653,0.9641148864725131,0.9733445810862936,1.3081974978525848,0.992509542324908,0.9991226278078756,1.0694886769190866,1.0734173525135726,0.9400675847192511,1.2341605736388277,1.9138557291821547,1.3203079165114808,1.9620347676171586,4.205386762117614],[0.4804882700081149,0.5287119241676631,0.5841124192023989,0.4722592504372476,0.5439001669578273,0.566835052823974,0.559587859819149,0.6688258818366675,0.5710131779869947,0.48924451385237705,0.5184706600051665,0.6312005297194205,0.5406385988650688,0.4930775951773064,0.5585059095353254,0.5394452507739366,0.5481846070652978,0.5223312593044539,0.5501423996484862,0.5476550378642548,0.6575354169040185,0.7221549081221337,0.7587955822862151,0.9932494026613967,0.8290240022698553,0.7170053155520333,0.5581769922576411,0.508626946256008,0.5051130465067618,0.5341799724809642,0.522340893168652,0.5963201684593679,0.6391271467221432,0.5803141419043358,0.5564262117010748,0.5125870162439266,0.5619572444479405,0.5462909941175904,0.5342006819171745,0.5690652291884124,0.7491671983273953,0.5955467813883255,0.6183648319028133,0.7041974579321566,1.0207151587478418,1.524870435861892,1.7429161541694873,0.9119372406724152,1.4104128665953395,2.1853521394801474,1.0985513843418855,1.3669166204967422,0.9211217043544291,0.6676128542411535,0.8763532187069358,0.6411761595875902,0.7152893474484047,0.671152246167024,0.7616997459143547,1.1817371107539942,0.7792480083388934,0.7014834166668045,0.5471404747770583,0.6403688788417343,0.6522641747777447,0.6584810471151644,0.6486126250224916,0.5537545449986458,0.6806109768340927,0.7146201460456919,0.819502669228881,1.1592198968838066,0.8243845909637514,0.8048922920945341,0.60281404982565,1.0076387279813175,0.5760036778956521,0.5857470919444059,0.5283000835556325,0.6162034131399311,0.5749872887522687,0.6174903500033183,1.0846793643352806,0.6443595981472434,0.6377871239387639,0.5591790827657629,0.55516718229137,0.6495046475654622,0.537027862675797,0.6400039064021856,0.5432186288170281,0.7215853160939428,0.5828615471143029,0.573990136453202,0.553751078016458,0.6198986716542836,0.6251008666336481,0.6541963624146687,0.6720235761885147,0.9166584435891983,0.7304373095238431,0.8435039274238442,0.6534947650746323,0.7720729457832632,0.7522709786990559,0.7565034269156515,0.7854267185365914,0.6685271599979544,0.6635250683103737,0.7069039062681305,0.6721974587711222,0.6201234757462759,0.5529524842650442,0.5234496091015576,0.5401408922943997,0.5178286369278321,0.6142070066443714,0.5536252020104347,0.6157289727497217,0.586421511592926,0.5505987584258814,0.5372739305507668,0.5716155704691117,0.5074197455135006,0.4850798701122938,0.5429208624036644,0.6329293252109061,0.5673539472088478,0.6083705775675234,0.6142015884606977,0.6506130765596453,0.6896057535959239,0.6685916581821795,0.6605295671739292,0.6717623138168941,0.7604891672472356,0.7839602325043511,0.6246357105710998,0.6567064224994226,0.6283130628340112,0.7465780289599818,0.8320298184963044,0.594659545938096,0.5627192011265405,0.5470127983422337,0.535992874196259,0.5346202365354288,0.5464290414650478,0.5558628802814549,0.5847861141960112,0.7000533367466952,0.7952508952643506,1.2652045400856935,1.5907497420064998,1.1879714142739992,0.8798091379026959,0.6929375201609402,0.7308082090473557,0.6087855390736967,0.6650374948807244,0.5695832551272237,0.5316031176205833,0.5554909052039324,0.5504716534604971,0.6656758842264273,0.8106329224937279,0.7685230291133611,1.041071477987263,1.0517487033246713,1.0308829877465138,0.7247153136380888,0.6194486692429617,0.6620544401579044,0.568338503098897,0.5594499535603402,0.6463414512157442,0.6680053944822545,0.8435927126336167,0.6180234188359434,0.7294450168240196,0.6978598492574062,0.6020800589729065,0.6353033744447668,0.7036663744292353,0.6868868267454941,0.7131592515948886,0.610334943166652,0.7760796383595017,1.9287518193926922,1.0290927429028112,1.18329554318104,0.9446637500415924,1.0514657507890866,1.0694285637496967,0.8454939410627456,0.75802138956683,0.7408256556465187,0.710055890851169,0.7144202614609553,0.7496108335760592,0.671735513876306,0.7272162433817094,0.6651630019090057,0.6917891237321766,0.741544348542163,0.8001796225271961,0.740876071812034,0.7488959224557683,0.9286420261371573,0.8693345286442802,0.8254707140955925,0.9627898849589659,1.1806845697583486,1.0105100958021567,0.9715885355359352,0.8977682911407565,1.1649420601946021,1.0147758378316036,0.88347484003805,0.8546980561337834,0.8797740570857222,1.4101775583601928,1.1532152885854225,1.5221866821018704,0.9114371232918951,0.9356961565508741,1.1615416679449915,1.035874388089342,1.1361827072750281,0.8061592505086359,1.05402329602146,0.9014663098270563,1.1146450601483704,0.8511257276573632,1.0633499230029209,1.3379439600314962,1.1058119095273966,1.3809563532702358,0.8757610944850206,0.7662781998241558,0.6834017475091516,0.8052211370345552,0.9150710903353041,1.1161900711883683,1.0063668591191481,0.8882096882467121,0.9860002884092707,1.1853136559846413,1.0693546672257224,0.9922832475944366,1.2424881637689158,1.4126054075010699,1.159306866806607,1.161746914709567,1.3608027236278033,1.433839828049785,1.2057922978593607,1.2048032601935115,1.030896570064608,0.9859490065969295,0.9306946814580214,0.8539183366961463,0.9272536178236231,0.7962686801492536,0.772060454063938,0.8040759891806544,0.8073399475160417,0.7686637860032335,0.8392210832730557,1.054373817214718,0.9526237222674285,1.0034830844940514,1.0902480006546766,1.4535906590914718,1.2262088302832121,1.1777759800535592,1.415357960170433,1.530738171730041,1.6908491898328115,1.2975503248630171,0.9564965755388588,0.7963880659827861,1.22787214493931,1.1949031303260442,1.3464422505046425,1.1627634578628854,0.9233943854281403,0.7224972275746814,0.677611508070791,0.5823387020234679,0.6463206618486266,0.6771536063501014,0.7163805846418284,1.099914131362278,0.7053452148289595,0.7328698274604394,0.734632818902847,0.7460251965203715,0.5653910814709137,0.9831831649448207,1.5033436914730816,1.080305936023809,1.6024774139509597,3.7846951400490365],[0.4018800143046108,0.3399533274923197,0.40390094520450764,0.33047774121375456,0.44893528429508284,0.45136088969686433,0.4339368873597711,0.5340987675574972,0.46741597543628605,0.40726884691868637,0.4358460838536017,0.5335051921373576,0.44213515992878977,0.42965324069967387,0.503397529843142,0.4461426106848215,0.5034908328741298,0.48283747309319536,0.5157018568416015,0.5173611666390575,0.6235035508156763,0.6649166865538458,0.6970472812745964,0.936648891307881,0.7730688252179175,0.6965138976629315,0.5136764791594536,0.4502961541847141,0.4503084293428851,0.4458460956789267,0.45523399410747756,0.5078536383384147,0.554277279414239,0.4942297590565883,0.46356909952233816,0.43363200451256834,0.4757745313014547,0.46836582705447416,0.4421914375397172,0.472757898269654,0.7037281151878771,0.5336413134353588,0.5513524032055303,0.6443689527907576,0.9843934315156445,1.536235681923545,1.703977245577522,0.8588845485561591,1.4693522264379653,2.196750029697605,1.0871883804882203,1.2831877789409647,0.9126753403880012,0.6222709331951227,0.8804627646926179,0.5871877536072331,0.6069653700924037,0.5905114322069113,0.6968232653188873,1.104073627043321,0.7356664787121168,0.6584403188873142,0.49349146913848013,0.6094910401611624,0.6005290125269603,0.6062725159148112,0.6201969848377745,0.5174101546123537,0.6631212991103151,0.687019795438289,0.8158671580038039,1.1777083809390438,0.808374965623651,0.7925071590855034,0.5629310739896045,0.9849741621600698,0.5249389129637367,0.5168449193247413,0.4493810257793104,0.534091709541409,0.4980787492483146,0.5234628426515477,1.047345304270482,0.5828482922470843,0.5856472179320499,0.47408570682199824,0.48062844414452477,0.5713413744268458,0.45742063415379014,0.558465398003098,0.4845374037432789,0.6773362330154625,0.5258221853758311,0.5073516883011314,0.4890712493306364,0.5665257629447081,0.5635648755553977,0.5782982450505,0.5907729881324429,0.8548749537775456,0.634375028683704,0.7589433311372696,0.5384773320904173,0.6611998001110447,0.6354691074378606,0.6352753023380581,0.6763857413281827,0.5284538488645564,0.5405609223172119,0.6036660013003232,0.5341562975121349,0.4903826865641784,0.43365312432615966,0.4387943727745353,0.45322740076950035,0.46833298164557,0.5471865310147346,0.5298691075279955,0.6087504863538875,0.566610008249752,0.5407242343851667,0.5044263905141299,0.5583970613856889,0.47154829265970544,0.42809474877151915,0.5062387915535195,0.5701900699670027,0.4805827155193542,0.5114868753140326,0.5283015674912355,0.5666855595672892,0.5817750686344701,0.5886288830339073,0.5963332115018561,0.6334803733946935,0.7346404258416995,0.7798419026228401,0.5747759563856885,0.6122268539436924,0.5796850959340237,0.7346319738027355,0.7875994518587363,0.5643334382127769,0.5152972566763232,0.48294121310472554,0.4513690466669479,0.45216956721773477,0.4472372564949082,0.43456273170584,0.4737076001368209,0.5837918177353627,0.6975744102496639,1.2100854091345958,1.6028958001381095,1.1658051994699254,0.7985704204692098,0.5896381269970623,0.6273721813887635,0.4988321285143888,0.5548218191423236,0.465685196124344,0.44508857945634406,0.493578227443628,0.47561632030162176,0.5919325249923023,0.7629426843041124,0.7150932401479869,0.9970335403254557,1.0269272855980152,0.9997661646779842,0.6854662891170491,0.5655360437363736,0.5750279240338767,0.47613351528202447,0.4539408707003956,0.538397552971219,0.5540543617844086,0.7687862594835005,0.5188803049628823,0.648727011579501,0.6220573694486482,0.4887117832158824,0.5244872162209782,0.5842011712542188,0.60553288162449,0.6250212658263077,0.5492102029333584,0.7733582574597256,1.8984429927393893,0.9981908605229144,1.1327377047882876,0.8902734369788969,1.0343377471086987,1.0500185696755207,0.7758070845026211,0.6632998298726136,0.6579357512916839,0.6208202943946398,0.6171352100979619,0.6354409855399815,0.5396199976715028,0.5656121270492401,0.5066880907354427,0.5812072586474089,0.590578466885871,0.614833013908371,0.650601194097324,0.6353128617217402,0.7306298172204447,0.6571138177397726,0.6941615802594633,0.7561679982727124,0.8760730966363902,0.7846933265006886,0.8205973302922194,0.8722054174056131,1.0812604746958705,0.9960192349427149,0.8332777354314049,0.7805695271395913,0.794573296261714,1.4428424167874716,1.0875966027487847,1.5728019210732367,0.7811108205822002,0.7999837099007804,1.0256916472514057,0.9252925246492634,0.9963402981834831,0.6673936916192111,0.9696400255349564,0.776438392164426,1.0434415617018515,0.729353326030519,0.9772766312430632,1.1959920603542833,1.0158278362218816,1.3244558418235812,0.7712109209230158,0.6536808917753254,0.5744818925266183,0.685676560054871,0.7890128185196013,1.0338208674757772,0.8764132075438351,0.7326697423960041,0.8307993795276474,1.0443048309572283,0.921521553237109,0.8171218213056707,1.0727733568100561,1.2504188025785214,0.9580926448477277,0.9577231697989665,1.1523114940736685,1.2056172157287879,0.9715656336953933,0.9945297205954242,0.8394177731024672,0.8100934829041013,0.7603047768219406,0.6985262849020928,0.7936006338346756,0.6666046293350586,0.6402769770509331,0.6916499654518034,0.711602493808514,0.6713833485998688,0.7527951916397652,0.9733194802175033,0.8930468430051364,0.9267948036209515,1.011934226109002,1.4241733971392545,1.158001953909521,1.1291696256755532,1.342875831054281,1.464177844662801,1.62999980858225,1.2780440708210887,0.9540377611931423,0.8043033356491869,1.249640175964203,1.1902048650064136,1.2968460195689058,1.1297272726037413,0.8847047528977314,0.6477917036611724,0.572672254527068,0.4870286398548229,0.4765514957364071,0.5300724375680116,0.5847456315051092,1.0438378468847727,0.5670034950233842,0.5543336466401584,0.5368606869222615,0.637800981811552,0.4092937809698022,0.7639327835555637,1.023849177595348,1.2807804012284827,1.5013687047026592,2.9449333145339103],[0.4149795457060815,0.3424738490291623,0.39819097825646416,0.34759851368187766,0.43424283675002284,0.42607790639663096,0.3870673220843453,0.4963736387035248,0.43490714816522685,0.3566360234475218,0.40656008893759077,0.5191474490900074,0.3930537686105859,0.40373544972461956,0.4859092946668784,0.42175666524189603,0.4680065455459129,0.44976001271315147,0.5061974382443041,0.47535828578871675,0.598616930537225,0.6422100399567866,0.6860944093936014,1.0027628143647576,0.7745016129444819,0.7034038300769502,0.49504439558886887,0.42341163120072517,0.411870501758273,0.411729589544094,0.4306522996533078,0.4843691809701025,0.5556021942947283,0.4862069515339039,0.43911769483445273,0.4100669388074148,0.4431953368792535,0.4333351139423912,0.3877408433624398,0.4111304498515895,0.6868335650195555,0.5105296726366683,0.518891988885651,0.6177772944103344,0.9428217927092596,1.5328235535169905,1.74456218445434,0.8554879776007496,1.5172491031761943,2.235194684854457,1.1367450637960332,1.1818850182461225,0.8344410546507195,0.6050285415024632,0.8501458162638659,0.5277759659361186,0.5870533454864778,0.5215057077142968,0.6168013371441431,1.1274982302961192,0.6828768581978165,0.6052665119419455,0.47956067970602867,0.6091072007986352,0.5774421170386712,0.5598368827384833,0.6262621321770175,0.4957648808504411,0.6594720096313522,0.6395855298979628,0.802780903127405,1.1663441462876851,0.7801780267383353,0.8036054475366079,0.558639860334082,1.0100622726936357,0.5034508245247814,0.5011081759871739,0.4241204526668492,0.5112992768812094,0.43657398769471883,0.4611136518563029,1.0438907159638757,0.5083345184668635,0.5626445164709803,0.40223536816774086,0.4249189428314595,0.5389914541440147,0.4341667398520753,0.5371062262958758,0.4670353493910762,0.6649277039483117,0.5199771587100003,0.49867866020287843,0.4739839125191945,0.5798809325330021,0.574266749358149,0.5794871511273612,0.5897776668519036,0.8881745729476961,0.6198501238579481,0.7282493915098665,0.4840389951415949,0.6153071224998186,0.584076888563432,0.5618172751173436,0.6241611478061547,0.4935940258334129,0.5089887300659054,0.5544621341584077,0.48586816498567215,0.42868433337094536,0.37634414718305487,0.385220415061477,0.38622593481814355,0.4331303412799491,0.4980535944169054,0.5275865444752094,0.6440623376733501,0.5244252016128783,0.5167502960193776,0.45500512993409065,0.5354126994530188,0.4260162159379437,0.3925213302142515,0.4623992585158386,0.49086640854305563,0.431569396076167,0.4523487515381492,0.47245741707924,0.5365977259574939,0.5543776503993894,0.5683093448520373,0.5476137598375754,0.6149600748887857,0.7079875115486104,0.7571085367940393,0.5955700031480656,0.5675789855301665,0.5593626381034529,0.777888416231605,0.8219532273277188,0.5763489305877014,0.493896550337536,0.4487603397986663,0.39015025927049624,0.38885106642683914,0.3878402671478065,0.37875667627317094,0.43747346219173194,0.5582997557462581,0.7030354453675552,1.2469781269637112,1.7337522059358725,1.2441903496837017,0.8158184846722087,0.5709903135161365,0.5964481175803826,0.4369874964941123,0.49386451497386025,0.3984083241710755,0.37384093231484483,0.451522469305801,0.4254280242945088,0.5273021877545678,0.7493671318383746,0.7091200682250676,1.0280318564139248,1.0453038630669007,1.0001028712651499,0.6817489456077376,0.5567269877443808,0.5129566049430156,0.4346604262751619,0.3900032108319332,0.4738286651134581,0.489252241683183,0.6945576252855132,0.4364469222259613,0.5495771977843951,0.6034252814881208,0.4233852474883567,0.4708238751629325,0.5256073312137983,0.5641802991360871,0.5737474786761437,0.5255648207215379,0.8233264234472665,1.9390102012982393,1.0600302154106374,1.2177291667976229,0.9027552102894978,1.0812503673436753,1.084319333809942,0.7927300632231581,0.6598681543206997,0.6535514043889323,0.6237435225296875,0.6121768280340848,0.6032281478688605,0.5166109179580415,0.5404187068006644,0.4712955342957153,0.5597177964949253,0.5823772796365134,0.6003676922966582,0.6386428919920851,0.6345717963258397,0.7502399320292806,0.6623035116095877,0.7048184515059697,0.7999098936099407,0.8982520762089883,0.7960742578910636,0.8713262178978814,0.8754822026398922,1.1251453449068443,1.0029839328239138,0.8454367520098509,0.8224146824466599,0.8361378526110512,1.4614877565149247,1.1346700814102733,1.5595884416598595,0.797284698822354,0.808499664629808,1.0072732734003818,0.9062480326756164,0.989949608579529,0.6671401007496012,0.965710670211885,0.8142685965159959,1.0814802213716583,0.7476890273606569,0.9776691506620224,1.246470037491565,1.0265420095508728,1.2999899392228857,0.7492913236322308,0.6310943763850346,0.55986066974681,0.6811282468424479,0.789345549867829,1.0561625575537381,0.8769341511994851,0.7238106959943644,0.843506295246926,1.0664730702385503,0.9202951088408301,0.8177653504037928,1.1071920510737574,1.2786496247869614,0.9697906758200637,1.004527503828949,1.2191028094979224,1.2593693649386386,1.0301090808213973,1.075847943506166,0.8980731319290965,0.861141923828168,0.7846610750553455,0.7282287890536042,0.8335597910715542,0.6852456192910672,0.661877088083071,0.720103037808861,0.7369735218027494,0.6737427682951953,0.766473793038922,1.0106155999804047,0.9017895777467264,0.9398205946515403,1.052246731823123,1.4807661867416815,1.1748161045171739,1.1290961690477974,1.375147584958508,1.487222655719431,1.6651096304289021,1.2439343705311157,0.9189971667068558,0.752319450654828,1.1713020438078394,1.147929332989142,1.2909983399401106,1.1271529164535672,0.8619675359285844,0.6403959889737207,0.5439876934200626,0.462721398061861,0.4446662853383888,0.48529768159417636,0.5752909644227404,1.0760011745394524,0.5241868727571924,0.5352021796269099,0.5265286342626257,0.6287568102267628,0.4144756749249921,0.6979998772188724,0.9051895817489582,1.5654038916482715,1.964506636591687,2.8730887782897554],[0.4176527666640824,0.36302928540143203,0.40981488392529036,0.37610168278661876,0.4548949582414091,0.3904840244937292,0.3103965989413323,0.3900418854512178,0.3528513434303332,0.28593743563103513,0.32423458205159456,0.4590627703230586,0.3089352165135779,0.31632783224513716,0.40783002159213455,0.3537432360292866,0.4090632442524836,0.43925869338715656,0.5263825428829345,0.4783430177105842,0.6261312888464564,0.6378874309299726,0.7340166500441845,1.0952566837617699,0.8092001974816732,0.7499770339961446,0.5416990489179317,0.44314155582982306,0.3736922577771857,0.3641094320917471,0.4036944743666208,0.41427437208403517,0.5012042935151697,0.451643697136877,0.38507473731472347,0.38059944599397455,0.3722672033570319,0.39463220951926464,0.39262771818131376,0.4420910374046359,0.7307127568038824,0.5324703081352252,0.5602432408954985,0.6663059817178215,0.963352457772725,1.588281751851985,1.8197922783091152,0.917147174097838,1.5871423209475155,2.253198686464246,1.2067577760444796,1.1691493413965135,0.8014883752734122,0.6692022282264334,0.8683320350994242,0.5589893928469866,0.6471721460793237,0.5593866599646884,0.6450125532681658,1.1955057570232757,0.708066873993664,0.6010321431624639,0.4965317816595139,0.6763405402730291,0.588186029691949,0.5800877250126792,0.6959665357346905,0.4993861685750108,0.6774674983702046,0.6317312998037177,0.7628642925460793,1.1390713484190413,0.7723807310933306,0.8481907722485661,0.5560564510556958,1.0613067656982385,0.5000340841603667,0.49363043789919414,0.40840549984751967,0.48765315742464316,0.39667257790880917,0.44465581362477374,1.044487625380856,0.4922094346363759,0.5640308378397839,0.37980179855069923,0.39205021288131947,0.4842097380893856,0.40042350608120647,0.5207724956834319,0.4617215382400302,0.6511069119142077,0.5258738959308984,0.4701879658514386,0.43666903580967553,0.5621705077249135,0.5487213875469588,0.5266719123546629,0.5206327105298343,0.8375400795165686,0.5464799075409007,0.6392446678213253,0.40197145641613186,0.5254015651138573,0.519396712890444,0.4879136709952816,0.5648028246328733,0.45815838081909405,0.47241802064499244,0.498246704653829,0.4028728437657732,0.3495168803562678,0.31133627393271407,0.38297742636114523,0.3323755173615748,0.441377798875928,0.49947727255966806,0.5510169642565094,0.6518082343148026,0.5299911586319921,0.5244206093430354,0.46243269106380136,0.5469460201134784,0.4255851486277764,0.3803885758413327,0.4581930200481995,0.4265818000002305,0.40187723948005283,0.43928257539697013,0.4723484869985278,0.576704165196168,0.5664702205407354,0.611823344607341,0.5378959268841874,0.6633577834632001,0.7578655578114396,0.8287149436111371,0.6759982173642926,0.5832514317937579,0.5973281917378077,0.8117493194660343,0.8674386462641139,0.6140915643242475,0.5063199501136855,0.46237306150317464,0.37467495514785726,0.36684467320327635,0.35038772810327584,0.3226821361516849,0.37356258417834565,0.4820098214223275,0.6412862623714376,1.2019656651494348,1.7639061279763941,1.257697127868405,0.7546989693163664,0.4865254122231061,0.5049317343808002,0.36334214953584104,0.45462837353352903,0.38338202251301395,0.36390532800908215,0.4664494055163737,0.4246048587037655,0.5549284915593845,0.7682705222570685,0.7811084671420512,1.0887865628408064,1.0871517451814459,1.038887570183523,0.7525106770890185,0.6212547401423268,0.5477448455987228,0.448686767246815,0.3667694116600475,0.4018788602644659,0.4372903849113446,0.6351975370722969,0.3979484100542421,0.474752399598619,0.6044062085915775,0.38981726785458376,0.4638941793461062,0.5327281962789737,0.5901006421197149,0.584708348560906,0.5566721178822419,0.9319057995211749,1.9990928448378644,1.145303859352972,1.2859591389638318,0.9622136837030112,1.1440141265546464,1.1345755913499653,0.8493442283084647,0.7167229314620682,0.7157511772675169,0.6714259720794439,0.6491011257732419,0.6324801132821235,0.5205095137509825,0.5060248146418871,0.4593201216906855,0.5750760656874042,0.5715303184703042,0.5777000949707535,0.6547264373296149,0.6412099418202981,0.7222204640420853,0.6503737167837772,0.7099837172783087,0.7877981026900016,0.8544044190224496,0.7946222939037986,0.8769993692199729,0.8800951879486516,1.130052051578503,0.9931235325183355,0.8502335046593944,0.8246312848963885,0.8357945302790268,1.4601064634541112,1.121546758253563,1.5704338643610922,0.7938968544754609,0.7928780559527017,0.9727608765511073,0.8782174212797973,0.968487200391627,0.6583502465692048,0.9312673549337361,0.8306794699137449,1.09986196100862,0.7531088963825137,1.0124849591525988,1.2741024553211309,1.0665983501054517,1.3361856830163836,0.7629782825037891,0.6351992198674706,0.5634304606262595,0.6638647691905517,0.7608679935637505,1.0150163365583906,0.8304277748530026,0.677123608401557,0.800695800683142,1.0159372870427472,0.8576847248723054,0.7718456288415432,1.057639028123196,1.213686063902018,0.9193582678279953,0.9663588756803776,1.1810417133831386,1.218796680207945,0.999426299479717,1.0522630544233165,0.8790676320252366,0.8400351507589958,0.7559779729409825,0.7101013393222652,0.8242925531912062,0.6795668926355949,0.6607341690582083,0.7202256913621587,0.7413875513310697,0.6855157711310697,0.7760760536938114,1.0089914280260868,0.9102404147818166,0.962810358617646,1.062593344666428,1.498849361309304,1.1859409579785516,1.1295401663409637,1.3789754326416965,1.461967775021888,1.6402433490675727,1.2134458400240165,0.9157536696163445,0.7575926825461802,1.1408072679032242,1.1394825694725292,1.2837302783827895,1.1406578598423571,0.8829118038309327,0.6786984759506216,0.5742932612175295,0.46984010815914645,0.44489899813916217,0.4621415355535761,0.600599896418616,1.0875262200266353,0.5028844600352321,0.5534898968156859,0.5759228238654849,0.584923418900088,0.4798032743495189,0.7177851750326829,0.7673226770031485,1.9806558373595726,2.38500374160571,2.7559420763097844],[0.4399606836207542,0.35691425398426624,0.3805749262970752,0.3389518789542078,0.3995169726593051,0.3387401000814901,0.2534441281154575,0.3620154644010496,0.3271568554818464,0.25617592705632625,0.3112616373371358,0.46086895033076924,0.27881457699809753,0.3062138624521541,0.4136187589867626,0.3570793228877901,0.4006952226668977,0.4391355639386792,0.5405207719827727,0.4802256288503646,0.635681731400022,0.627427781618469,0.757339862272304,1.1424769831845496,0.8364399320361637,0.7827177666913102,0.5445905349537207,0.43998137410214494,0.3675355295535377,0.3504384343604426,0.43270287386033773,0.4219850684210865,0.5210914858386346,0.4901214573554149,0.4019510164241997,0.38933738563755266,0.3679263306643951,0.391862987668361,0.3833807576991929,0.42440555156336135,0.7386713835911286,0.5418304683183943,0.568270445165616,0.6691914279840527,0.9914617662201964,1.667483860301954,1.8843039569440352,0.9242501286434351,1.6724593243197796,2.2763791577299672,1.265533882292059,1.180900640156242,0.7953521013034247,0.6872584235498596,0.8775750102639647,0.5697203568580268,0.6390950956943862,0.5831264960244255,0.6681193623396433,1.1715011029352569,0.70569096408947,0.620060282744616,0.5149036827961283,0.7031890740766972,0.6176290597404133,0.5956604662701066,0.7145433752537462,0.5241288817216871,0.6983480183790634,0.6426506385471362,0.7830044278280964,1.1803272671231335,0.7865053378863468,0.8792868728134696,0.584441358733845,1.1031689557663447,0.5345734452260253,0.5407903997697697,0.44935705486182187,0.4905915343217175,0.3909720516024302,0.44198768659578835,1.065890121222512,0.4789680784077405,0.5775761080310187,0.36057774752500044,0.3930260721705556,0.4793845130478456,0.41596987714346134,0.580634504859862,0.49511433307153774,0.6906447818757641,0.572142179855525,0.5234339967500754,0.4716717033800948,0.6035796994007379,0.567363557389888,0.5530987162350054,0.5383903032007838,0.8791668708181037,0.549777549852237,0.6430389761279891,0.3976856821207775,0.5093098342845161,0.46277838478431554,0.43319656159696573,0.5093494226254622,0.4123538017233893,0.4315474971580287,0.4629272598129072,0.3481494909198908,0.27178169430338095,0.2656236450191273,0.3129828830490651,0.2857480176235579,0.4001510434343174,0.4721834686895516,0.5326988935035291,0.6714679317533834,0.5528611534526034,0.5289427084978742,0.4437226576021255,0.5170267334312804,0.36642192534110096,0.3209189324939284,0.39261201345501834,0.3793277546743329,0.34497419983698935,0.364066514306298,0.4076943669127921,0.518125717282046,0.5089509324990829,0.5567757820317569,0.4996934081021361,0.6115622146696678,0.6961172882432928,0.7869765598043217,0.6400080832842509,0.5386195000997412,0.5542409214967055,0.8083039295740038,0.8520635781920569,0.5899367530040204,0.4797013495726915,0.43437595624880393,0.3516757035575586,0.33434937226611566,0.32136538990826924,0.28347280795196916,0.3400306450855399,0.4675229943250547,0.6654085375599645,1.2351942681504688,1.8783994166457472,1.340465632281014,0.7916739610677509,0.49768652085667126,0.5014099673093286,0.339636446287114,0.41842326527361207,0.3454267136035954,0.32675722559609494,0.42729537711235793,0.3960933085945211,0.5072856200654197,0.7199918337231707,0.7366101225334163,1.059955682733308,1.0501700554158642,0.9955205712561839,0.7134680671032291,0.5739394623840528,0.4963484259720177,0.40201626766753934,0.3206621815333945,0.34818411175032776,0.3946280513368676,0.6089415764726057,0.35220823453986,0.4381868152093548,0.5520721289843263,0.34675068241560136,0.4130988228266345,0.46984739209951365,0.5422963743490622,0.5457535590905345,0.5409175367347016,0.9371443943615999,1.941463884872469,1.1479657166805721,1.2671282471633523,0.929778027860775,1.1018930556288467,1.0851896736132534,0.7988174653980707,0.6713137298719463,0.6632174391698227,0.6124587648086363,0.5858694823964797,0.5911840811695116,0.46985734173472493,0.4665744046881864,0.4231024238933618,0.5244084740000241,0.5217937432471675,0.5265288585855479,0.621383438146324,0.6019511218655474,0.671412708775156,0.6072691950338848,0.6774998902582611,0.7397519890126754,0.7835556738979665,0.7662317128749707,0.8555641553818973,0.8637488831706548,1.1182189308704835,0.9626860604301869,0.8132618679224556,0.7914243046544094,0.7978105061176476,1.4787425835607197,1.0728072562284099,1.5583766407597006,0.7667478787064014,0.7419723418103117,0.9134032663816555,0.8262602251555294,0.8897881632528335,0.603216010936218,0.898774500818953,0.7779419293710109,1.068784998996662,0.6900574555557406,0.9574555455002239,1.1967462546170462,0.9960229142397605,1.2914492222046563,0.693680029708235,0.5796565738241375,0.5446596317542811,0.6436125533920981,0.7547305082142289,1.0017885330704215,0.8351272010284876,0.6602951541748877,0.774631499427012,1.0027820359126538,0.8415487958427074,0.734119840922445,1.0206170366771028,1.1659776298308269,0.8617855480847376,0.9132071960327507,1.1207000453011535,1.141057911301537,0.9343563816996545,0.9902194641967259,0.8259980913848417,0.7906490468242223,0.7104453467923444,0.66426070529874,0.7762005216548902,0.6329145567779457,0.616007819190032,0.6713400795193681,0.6985603379320592,0.6359324178828551,0.7239259575142039,0.9620138525251941,0.8580736262156949,0.9004715582895305,0.9960649125138981,1.4577372112928462,1.1328733430929008,1.0727562998771507,1.3245181585228267,1.406915671455135,1.5733280012598017,1.1554221721967268,0.8752051293077747,0.726297003884885,1.081573726001431,1.066148921399601,1.2052275405431345,1.0794467310390456,0.8264165642982916,0.6242269833619485,0.5187752563559896,0.42969811891991155,0.4181416081433114,0.40561081430165297,0.580275892756995,1.127647328396148,0.4517878321781544,0.5245596534851,0.6082131300635605,0.5841782158777001,0.4966684298263404,0.6709249057864016,0.8257200301200119,2.4167102328810337,2.8687131221824043,2.763624718318611],[0.43147351787542887,0.4063512277324941,0.40206935930387455,0.3267283768730747,0.4255381183966249,0.39574941856470675,0.2998805189546019,0.34685259833181964,0.3436488209349379,0.32655426227304696,0.3371856046914903,0.44711295898143255,0.3407857126672546,0.3831331106217405,0.4439060638215627,0.4048888333065029,0.5233600256619751,0.5512792363343689,0.6743063682536741,0.6233124035149925,0.7840462443581295,0.7785366783446791,0.888527884333099,1.3182930274631643,0.9565747717559258,0.9139806373353797,0.7016121833236488,0.5919524997735566,0.4984424395321056,0.4459545435105847,0.4929782909681144,0.4658399342819347,0.5439018256720963,0.5225319594473214,0.4678842124123367,0.4909639654951339,0.4621963392238501,0.5297979278745159,0.5577518959960034,0.5985708538469008,0.9196762465451519,0.6812955354329115,0.7176927974094808,0.8237152506835529,1.1478960619732383,1.7910751723554592,2.0287450142242727,1.069856563965535,1.77139629310584,2.2985501664736723,1.388126621954224,1.2546864111523564,0.9081318889608727,0.884574611451293,0.9104054994131912,0.721719547191383,0.7802860553926738,0.7097238789746628,0.7761326862216009,1.2902517674005065,0.8442806227035272,0.7086029570285391,0.6300471936341628,0.8398411751062987,0.7551581778650337,0.7016094989967988,0.8157281148738742,0.6343861935097487,0.773611911791748,0.7087331192056728,0.8136474700472597,1.1525656144559708,0.808032774069885,0.9523217973183314,0.6410610325884739,1.1388403803792095,0.6292240621141781,0.5934419981133708,0.5484235409971027,0.6082896540816224,0.49828467558996137,0.5557726357262679,1.0648579063558603,0.5944770503522253,0.7461335829877666,0.48858970790971396,0.5399406244012815,0.5561925130759164,0.5432392204124497,0.6339856210884117,0.5627521549255042,0.712070319176196,0.6057255083039619,0.5421032480039827,0.4912030844190094,0.6034901312942502,0.5813486227130887,0.5431722164061231,0.5193266782691549,0.8439991743248404,0.526957081066293,0.587003415639774,0.40387211955314206,0.49040831719873634,0.47288387993597364,0.45341753718863864,0.5231904293074872,0.4682287447853519,0.44943461963771436,0.4811287675283514,0.3688415600596892,0.33782289582997577,0.32916870628439454,0.4147126438197352,0.39087051695045705,0.5429250436789865,0.5984951667550984,0.6893664592749497,0.8307597370565185,0.6817576198518593,0.6770701912337097,0.5581454761548961,0.6522826658851578,0.48817399941712203,0.41853830349393745,0.48634901076331616,0.3975634452010069,0.4259855541213678,0.43829424030026787,0.49498065334186775,0.6233102996514571,0.6033645570551752,0.6874286359295079,0.5903079398502282,0.7381463124067146,0.8185433819611618,0.8619293028628001,0.7575179206186442,0.6931416764980185,0.7254101842752568,0.9595768911461907,1.0149067473412272,0.7666238906618862,0.656063156116906,0.6076646762027464,0.5127464327352479,0.4982487430921233,0.4335111395098077,0.36800974354154903,0.3624081837319883,0.43266365224985476,0.624543864303753,1.14783166910967,1.8733428390739153,1.3590540359730414,0.7359565088052812,0.455081170177007,0.4603043237210194,0.3532575791792298,0.42438631332292515,0.46942348553281044,0.45931517578037323,0.5848709535821037,0.5679159132443963,0.6732329988771544,0.8726784457039045,0.8944560990471908,1.2018375990390269,1.180133254004104,1.1079497966550194,0.8497713796017586,0.7062876837202,0.6377876553416032,0.5449271400473223,0.45249152564795686,0.4129815834675339,0.4562489776277777,0.6028497598686662,0.4526727802163083,0.4824808428628109,0.6442704233257136,0.4481466206661106,0.5424563615337952,0.6353695491968729,0.7032503618913183,0.7228837628804766,0.7148275079464186,1.1055783247787507,1.872816017080998,1.3458806052827572,1.4901358259848352,1.1277182112154205,1.2880462124376408,1.2432371133955573,0.9424384945796836,0.8027189458930308,0.782303748922709,0.708674802946344,0.661379462625637,0.6469443419583761,0.507179725774169,0.4406139087149069,0.43257402715689713,0.5516143630843762,0.5263685579474014,0.5258737858049045,0.6420752528816116,0.6181947774736692,0.6472291162640227,0.6140490201879858,0.690896376161035,0.7443826639061807,0.7783261916558537,0.7842036171550899,0.8694564284717359,0.8657487997931179,1.136020844993052,0.9552701585025665,0.8145235367600967,0.7960176393786548,0.797846175147205,1.4237096577603146,1.0738580810674148,1.5862090270180391,0.7760641164859551,0.7378297189337365,0.906932534293229,0.8395802142903256,0.9195019119789526,0.644233927275243,0.9160762559193072,0.8068594721100144,1.0530333803519896,0.7315888682901324,1.0549783338397192,1.2189913778709394,1.0419261770639408,1.3681303661575042,0.74300384545483,0.6117298985144088,0.6010986353200114,0.6686438101499538,0.7417043633616672,0.9322548904590016,0.7666784368077346,0.6292779531174205,0.7111454333196241,0.9255256337274529,0.7752595799441814,0.6774098749835649,0.9338802939269137,1.071254497005485,0.7999816269891159,0.8518334450992532,1.0487781886778855,1.095995134442333,0.8949233789088485,0.9410375986890571,0.7875689216018349,0.7482666923946449,0.6634914558663251,0.6231122800315735,0.760222608049893,0.6329022473956128,0.5988717749143875,0.6737865120135221,0.7024714393721252,0.654787085781014,0.7487024229730178,0.9621469303753372,0.8497602144499712,0.9066109833747862,0.9878830315569986,1.4392838810619153,1.1340609098516126,1.0483571805039533,1.3332421191619734,1.3889754930874234,1.5021966073988697,1.1120007926103301,0.8594672939956712,0.7198305608700242,1.0136936392798865,1.0223952718779923,1.1633618727482358,1.0766047858883485,0.8445253845775257,0.6617708851803693,0.5867087031151466,0.5126391779784533,0.43114243347331516,0.4363717059296918,0.6346659352784451,1.095075765888125,0.5256838198672921,0.5673235368950276,0.705503172205473,0.6198787962945568,0.5775125469075962,0.7349089569380199,0.9530591399108852,2.6474191064763244,3.0087985586482073,2.8540107753087267],[0.510830223258943,0.3843644079541345,0.3982116446539704,0.364105597823456,0.4055753080020856,0.3653211473565295,0.3135511335414242,0.3951352802718659,0.36381548701296906,0.3027709893109535,0.32724409381090375,0.4708546079824462,0.3181330457430616,0.36235865263779404,0.45513683887659245,0.4117095641213713,0.48351840200944085,0.5294811996082776,0.6416056476711101,0.5880520825732685,0.7498207509433267,0.7221785539949932,0.8520712472315723,1.262550035713131,0.9028891111040708,0.8753238254925353,0.6404856494541417,0.5368437395866457,0.46168430274617744,0.43885386225286355,0.48235116945276113,0.48078859921412975,0.5677517031295054,0.5309884734414311,0.4630671256453374,0.4744423815426279,0.45695456846195237,0.48840642982017224,0.4933723309344964,0.5232396968450499,0.8450428110794508,0.6306562974371671,0.6617442560692851,0.7435703409617874,1.0504175545879941,1.7349993313100485,1.8888971066467068,0.9540974823976734,1.748164994149985,2.2276736444139384,1.3293090211708414,1.2023953252970012,0.843282649463497,0.799227656432466,0.9412460517740218,0.6691189859227297,0.712264544746988,0.6865249790544247,0.7569856474462946,1.2163866123714686,0.7850063186308396,0.6772187878908384,0.594758241639331,0.8090386027774085,0.7084034409755828,0.6651595460786913,0.8211590375042441,0.6131727102414557,0.7637117348428656,0.6873972077573407,0.825379593149086,1.195544212020629,0.8141962885855355,0.9474158106734204,0.6376654296717496,1.1504841357053597,0.6152266765679267,0.6064095740732636,0.5383198696266216,0.568838351447302,0.4797136468379851,0.5431918168393495,1.1266685572018968,0.5637231024562817,0.6619702148268248,0.4508302036418897,0.49922970898750896,0.5281503167194579,0.5144911888296608,0.6376270580923096,0.5634924319648373,0.7257950193893377,0.6038951444737062,0.5547515971254674,0.4976211887041871,0.6154929743885491,0.5787769134183675,0.5600086006003916,0.5503770355916727,0.8986634853553629,0.5667987629021647,0.6430964167376575,0.44366814136554394,0.5377229863163919,0.4902804120012622,0.4731242664257034,0.5268354446276692,0.4217403373508681,0.4312831618849503,0.49857940769730136,0.37310081614148577,0.3143004277282647,0.3219625266135544,0.3647300186212266,0.3611934138567698,0.4735636974867802,0.5467676193051664,0.6114834544193168,0.7580722080320809,0.6391548270935647,0.614511806264484,0.5070471261667748,0.5763746710194511,0.4249785657634173,0.38084939939657625,0.4214724104677965,0.390564808115122,0.3835047461267515,0.3555267119111672,0.4158028411854379,0.5193862425074329,0.4964807014316692,0.5569981341620098,0.5178601869138002,0.6314840579869374,0.6998183213661415,0.7545113311653732,0.6390547249486495,0.5678891018740819,0.5973450069642146,0.8897356485756492,0.9304424018725835,0.6719911442810941,0.556129359675084,0.5130465867443247,0.44443469995226753,0.4240821085186999,0.3857997492314149,0.3521358332733923,0.38743244971127755,0.5032133842032563,0.7136704043732175,1.2381681354941898,2.015147273242688,1.4511133767645878,0.8248080654890747,0.515897930892151,0.5262256955167712,0.38465531667117775,0.44884105018242365,0.4103849478746453,0.4051025644219385,0.4909577459410939,0.4844467276319736,0.5743410559811643,0.748194689815278,0.7415253968085119,1.0232328100177448,1.004035955066374,0.9528919138698327,0.7154863562320637,0.5921549458765589,0.5376165011485957,0.4511337496907546,0.40235695747120004,0.4284463886789895,0.4647161263581305,0.6579135626960286,0.4398745519195255,0.48532882629399626,0.5489627365038656,0.4058546669516612,0.4629724539173199,0.5109115453377981,0.5856257707177556,0.6091488031569765,0.6183673519907001,1.0278776719202694,1.8138244377457866,1.1961436529004337,1.284443124823471,0.977737745242347,1.1194736486502925,1.0876177675366856,0.7850634655419357,0.6608610422973784,0.6543702746645822,0.5813623748132845,0.5583068059853731,0.5782810777871368,0.4554276271474685,0.4681652964992475,0.4357555037154063,0.5014068972218393,0.4903406796751419,0.499244864565652,0.6113412221770333,0.5636403908695508,0.6000386835798404,0.5608168926932334,0.6323036695986909,0.6646875160608559,0.6818630981325559,0.7456324217691996,0.8118991236680068,0.8082517282871357,1.0837495962048667,0.8858663154019973,0.7456460447312456,0.725134018949565,0.7177992342877879,1.4994544376246115,0.9492956458750677,1.557409132336691,0.7618792964341278,0.6915177200881657,0.835187437901201,0.7775720833331383,0.7892557743698142,0.5570743459751608,0.8726285609128879,0.7214252806104494,1.0114945924881988,0.6346176503696598,0.9739679250511672,1.0399536551353277,0.8972518204831139,1.2874269921792145,0.6414562856989247,0.5744325660099798,0.5766531992483833,0.6836673598333434,0.8025691984326958,0.9885019335013538,0.8701635707010513,0.698034442988587,0.759145466307849,0.9802921999345399,0.8335712159526407,0.6908570144304906,0.9416598487916047,1.064846917531331,0.764560535290504,0.8119865059856635,1.0010433798485534,1.0213723165899926,0.8085646486166477,0.8543777225523808,0.7275462285779696,0.7007168957454577,0.6425068373727908,0.5994495884571863,0.6968196046197789,0.574778576775985,0.5708453496562412,0.6033714195411676,0.6424498366916676,0.5771524050801972,0.647162797106495,0.8633795460113626,0.7594255835318847,0.7877612452691027,0.8516448396631304,1.3409009088698678,1.0237541088811353,0.9564248027508785,1.2071742603929307,1.2806171173386394,1.4264886484849189,1.0462645591786892,0.7990470871616802,0.6830787053834037,0.9742618069161707,0.9459797764919211,1.0589001827948148,0.9822096919112577,0.7561423780468947,0.6125102223832769,0.5103691409597534,0.4695306284458463,0.45194240020211307,0.4122000484925308,0.6077897222209373,1.145568341528607,0.47087988463837943,0.5430631674208121,0.7306965030412569,0.6084496505917727,0.5722502011132912,0.677522200486685,1.254183314114121,3.089427299364545,3.5644180813171165,3.2118744242200337],[0.487628320793156,0.4336935299371891,0.44142771249946106,0.41343568474076553,0.505304504775318,0.4268606282964364,0.43081896996191893,0.46753252847728033,0.48709490565755775,0.49910254491741285,0.5419981929819081,0.6569457444047584,0.5385842989315964,0.5877797509796823,0.6662017132456161,0.6358916666367069,0.6737715749867845,0.7291747942497065,0.8461392306006732,0.7963915105190544,0.9514574162476974,0.9358966853513624,1.108042878017036,1.5061403807989189,1.115578064367582,1.073303562469529,0.877986376224483,0.7739382068777669,0.6790688972116815,0.6262475823650209,0.6708736900177025,0.6841977605293187,0.7160978626852685,0.725164321157582,0.6735910867484065,0.6677248436814716,0.6543798276225402,0.7255205059990544,0.7384270670837904,0.7663049258346816,1.079491485506339,0.87230514824953,0.9102480583086624,0.9955822552875673,1.2996302204206334,1.9544270462158153,2.1619974988457886,1.2232556506624988,1.8929904639990465,2.320300837178945,1.5384560449301392,1.3578761491720475,1.0709849192956706,1.0778524427747487,1.070465542504705,0.909384207723609,0.9446962843161693,0.8903078188712643,0.9367465509089143,1.3745323672548433,0.9631995203608499,0.8803512182614694,0.8155244984502266,0.9857330057701732,0.9381212787091876,0.8465462917210413,0.9887492499575915,0.8152534802369272,0.8992043541935398,0.8637349831277915,0.9469600783852407,1.227139302031491,0.9466398863749388,1.106718994048375,0.8429333986881,1.2763861981122466,0.8181103259583328,0.7990970720339745,0.7493932909756724,0.7681889326193204,0.6892535444876385,0.7293282927721952,1.201304742641074,0.7192770662919403,0.8381829513496116,0.652116608403984,0.714414645541725,0.6931268145533841,0.7211371007769449,0.8173606801098787,0.7756788578540429,0.9190190404470828,0.8009974361996353,0.7542765978642728,0.6976219974837472,0.7922980960224523,0.7662100362378127,0.7307587008455082,0.7166717422598943,1.0029845414464644,0.7012558232160961,0.741779127778568,0.5863563298535888,0.6161548678845492,0.5908620922211067,0.5609643674932251,0.6043708463492945,0.5240478759271677,0.5166447216231569,0.5505960595824432,0.4595171611422713,0.44896298529128853,0.4505020303160746,0.5323433299257486,0.5580798942543396,0.7063135552542417,0.7644213685186113,0.8771697099834875,1.0204915208636698,0.8718755790382267,0.8650356633515889,0.7247691922136313,0.8076807399786421,0.645681793405408,0.5589439809328478,0.6152337776857382,0.4765609250048438,0.5306206210043184,0.509200594947509,0.5737821424627688,0.6808809897297098,0.6486870247947666,0.7599394933718973,0.6808102121295233,0.8196121534835007,0.885510482040968,0.949895313996534,0.8908661077388417,0.8616165166069625,0.8799775731902819,1.17038347052404,1.2118540418244863,0.948439212394116,0.8378444087597576,0.7844947051339907,0.696318569243178,0.6698494090275683,0.5788260313486757,0.5137828324263868,0.517036110634889,0.5626575649226961,0.7814647384927235,1.305681955955398,2.1038693653599236,1.5519945164555133,0.9325979291314461,0.6319074692385755,0.6115722087514787,0.5364610832066377,0.5449937035502677,0.5955191991772966,0.6249381589576593,0.7320986590798653,0.7275846519576838,0.8283012888052291,1.0218152696967853,1.0131703350077776,1.3104347301703507,1.279900443964488,1.2050674927145968,0.9661981110506592,0.84145634787409,0.7675049995212733,0.6723166191581945,0.6048741215640553,0.5770737880983524,0.6180515690288417,0.7312754769110776,0.6207700793830551,0.5968206964107284,0.7165200489735148,0.5592162274937372,0.6357526041873496,0.7393756241271968,0.8060837234886792,0.8552778830309695,0.8670939271523438,1.2563415521945558,1.8877609044076,1.509055544178153,1.6131869705019513,1.2649749551774092,1.3794389919045986,1.307849630809635,1.0066065782217348,0.8559692598544949,0.8297517903487626,0.7470805989092202,0.6977892821125812,0.6570592010370597,0.5254778937277231,0.482917211759827,0.46731242712099935,0.5745254682732,0.5476029652076205,0.5461990710754501,0.6763088213665006,0.6427828417739255,0.6618469118486238,0.6284150229757454,0.7223997403070253,0.7596836459840034,0.7762852214497832,0.810600758468901,0.9051731026409914,0.9215944012831646,1.1651023537123666,1.0034438353587416,0.8504829257579368,0.820007124322087,0.8155777259813987,1.4854736919483895,1.0846350586317097,1.585438496090544,0.7698234027661277,0.7232749752951375,0.8697199884310005,0.8091393367496952,0.8807088736882854,0.6388948080852848,0.9421909060485761,0.8009231697648553,1.050168712444924,0.7473550851329188,1.0711196703115617,1.2189480356296694,1.0514464534089736,1.3816376161367239,0.757445432639838,0.6533705632343689,0.6377499802208305,0.699767015701927,0.8047203417309546,0.9691318731037966,0.8554895280226894,0.6901343839586342,0.7573865353072986,0.9970610375819877,0.8265540483045196,0.7139853804556693,0.9730120584691624,1.1065882047419975,0.8158758732940891,0.8741018292151085,1.0867857473635678,1.0944135902832355,0.9025812011497054,0.9579388721196463,0.8019563853662476,0.7640872398256643,0.6948021643094872,0.647223913697759,0.771138717360848,0.6465771748254888,0.6308997054231034,0.6852457503876044,0.72152368078182,0.672581082279868,0.7635535807517202,0.9875245324270564,0.8841648450835746,0.9279319305492744,1.0082041581444106,1.4638137335793908,1.1680141881815944,1.0870946475076393,1.401356314073402,1.467061430582834,1.559841073125308,1.1741949162056553,0.9078772071152201,0.7698961757458521,1.0713097012344934,1.06625732037706,1.2090452937142617,1.1229049608382005,0.8886245387137285,0.7131411024082295,0.6219170329130342,0.5815762658466621,0.4902061222441094,0.47105990533431386,0.6544059391791164,1.1654151048505264,0.5525879076823147,0.5862976372690094,0.717107939105817,0.6332566014522862,0.5848538092787493,0.693523258532324,1.0762586975216486,2.868621552148161,3.4082591404055553,3.0943707735750103],[0.5045759479479408,0.4449433215897511,0.46755930155809095,0.392906000483053,0.4367128924861568,0.3944470736179164,0.3093225024043998,0.40019320334298353,0.36325276173092635,0.2980628743246918,0.34744926340823595,0.4959647105171969,0.3051502317110843,0.341536648261442,0.43069656090035907,0.3870331977886419,0.45498468732453984,0.49240259747209775,0.6259991188190962,0.5641767339872131,0.7337632739389641,0.7129620188052386,0.8532196319910675,1.281878070408611,0.9058928815912171,0.8705302471914914,0.625238115913856,0.5217485053355451,0.42794223545925464,0.40332573756940254,0.47744697578126005,0.4616065434171901,0.5790821760976333,0.5397009058919898,0.4589292006812365,0.4437943343491759,0.4242629762830282,0.44486306037518,0.4650506058166402,0.4954851284317163,0.8273071178369011,0.6078308250142928,0.6351557302831188,0.7442642917550863,1.0766716273601942,1.7491299409764363,1.9561004209452617,0.9804824466822756,1.727207198259825,2.2519216230216688,1.3186400017005249,1.204183634768558,0.8245833200450644,0.7644185503991276,0.8989370882605953,0.6265226309520018,0.6793589309189251,0.6497010950076396,0.7264102706483373,1.1883748563173664,0.7536298213325417,0.6609988821176513,0.5665708672782582,0.7872796826726234,0.6896757163056834,0.6443141120871148,0.7904865964784448,0.5948633427536526,0.753816495588435,0.6767268472814056,0.815239472463249,1.170851141286044,0.7893736826447942,0.9357579487799599,0.6254266553770003,1.142718892614873,0.5954263981284943,0.590648270088301,0.5075886150362579,0.5519003755816636,0.44532281359373793,0.5025475743289275,1.1038559557224785,0.5228065530871047,0.6363204688520266,0.4080281243567747,0.4538314999082102,0.528418089588573,0.4831819571085945,0.6277376340186998,0.5510675337603355,0.7259221154251451,0.6007396564652459,0.577966872947014,0.5103794495117253,0.6476691780131079,0.5835541624278037,0.5794945194794172,0.5801004174656111,0.9675048378863774,0.5990066846468584,0.7080195252644896,0.46536226278309917,0.5644944018941638,0.49318232900944103,0.46270364132824016,0.5350654213164132,0.4418105548918822,0.4643829453090279,0.4855587505108694,0.3801691601302049,0.32635671880119843,0.3112520665541595,0.3722121346760501,0.3397040506229509,0.47086929988834675,0.5410890401165691,0.6285443129421906,0.7760318537940843,0.6188258686887375,0.6056141195824984,0.49063380726332495,0.5927837143257505,0.42839584119801644,0.37528737497885944,0.44109524538215866,0.41781772578991083,0.3898251178241854,0.3972791307675566,0.43205148576014574,0.5496413430821305,0.5362965799994668,0.5935273450930199,0.5395025252746393,0.6519676552767965,0.7255599500369805,0.8166427535320945,0.6924750948151333,0.6179316707218085,0.6366660512107225,0.921046173812706,0.9696995244956346,0.7084496024391528,0.5786843443421102,0.5183701780954422,0.423848563027033,0.4061174533839756,0.366478606664156,0.33297606313991485,0.37422088436753553,0.5204219891297894,0.7229685760741977,1.322830293342538,2.032570384628687,1.4423478773504346,0.8857160071817578,0.5617993791784338,0.5642734577141635,0.3913135647339481,0.4604533728568663,0.3967155340366075,0.3818507686821621,0.49060611295237655,0.4683631864931913,0.5784097545169272,0.7812634842360331,0.8017589751997212,1.1286709481422068,1.1110246836005002,1.0489884829470062,0.771561683852039,0.628212974012206,0.5418183778231976,0.45370090930174634,0.3796936650965807,0.4035048864015014,0.43214200849876616,0.6485166874996369,0.39765743077490406,0.48173337783565484,0.5687477676418873,0.39215384015404736,0.4555623168098828,0.5176883517403071,0.5934107304844284,0.6000896784049795,0.6076743582049056,1.0089060852484846,1.865402179883257,1.2240262285208774,1.3606803979289226,0.9962313207227201,1.1573105322600392,1.1232917324517677,0.8288009433191874,0.7114655056022104,0.6993218126145357,0.6450717361359344,0.6204837459278574,0.6158581636389816,0.5233795227849831,0.5319934771114395,0.4839368188204564,0.5782444044757176,0.5851383889210773,0.5858722283568455,0.6707519040024107,0.6636832189797435,0.7396121872691069,0.6685812446067034,0.7437727660979243,0.8028380325510297,0.8328820902808818,0.8241756476941101,0.9256277019167806,0.9248774677694773,1.1865557973367882,1.0201032031800548,0.8689341164082134,0.8529010550270552,0.8611344288213706,1.551475253242269,1.1346716603930322,1.5872124810174515,0.8029993227849863,0.793125461539342,0.9518695391492453,0.8744853433246674,0.9413278588309968,0.6804090063173696,0.9689699697729924,0.8106329386491843,1.0884560014251616,0.7438203222856783,1.0100903153828238,1.1999844021029011,1.0227445326576439,1.3223387495601742,0.7297831651877205,0.5896547485618762,0.5946163969560443,0.7124392485309093,0.820503473540048,1.087258139030698,0.9189589109243118,0.7341473498091864,0.8513431612280118,1.0963866202800507,0.9209407911491133,0.7968391034332836,1.0856524547197859,1.2185451727621543,0.9097780491491634,0.9794102650374482,1.1992548059986086,1.1802839570653334,1.0008148026596826,1.0633039667201287,0.8991160382800065,0.8693636249121407,0.7885601847293963,0.7446970073167496,0.848287592740473,0.7025166222905709,0.6857877888439298,0.7366018248168021,0.7631250821676328,0.6926441765484044,0.7721331596878749,1.0197438010363027,0.9044364829148813,0.9355685996684696,1.0414216806619263,1.4917984935985202,1.1801531410002353,1.1174760729600173,1.376714081085,1.4645715020902332,1.6368520541941272,1.202959439352384,0.9214105926774564,0.7773442970579058,1.1195242441428974,1.1106812414665204,1.2507211924085033,1.127104573126595,0.868259051115103,0.6711496398453787,0.559332541331238,0.4743722324127809,0.46745422977992146,0.44130689824018576,0.6138465736744666,1.174000959969738,0.47577173562564934,0.5701255231410295,0.6398602439634201,0.605355338092342,0.544766436112542,0.6653911379507551,0.8744663486830592,2.55241303086322,3.210364773393287,2.929894827958892],[0.43804952992604557,0.39991304073692613,0.4110068335465873,0.35384137613938926,0.4444948302842159,0.38470692143644447,0.32226106970762397,0.3884804708557771,0.3949422107619403,0.36069327507420673,0.4024649923723196,0.5288223573350179,0.37458535305214985,0.452440903598813,0.514513572608938,0.47704209477840637,0.5765711545408414,0.6265452933355048,0.7426903904770176,0.6945948057762061,0.8715082940088303,0.8770113161297618,0.9647246682824099,1.4235424908276315,1.0348056439853222,0.9912610200511764,0.764326285176592,0.6535232812649522,0.5618701275868618,0.49979590187349704,0.5641064752964439,0.5295463736977295,0.5882242270441883,0.5889123946553758,0.5366887214142835,0.5540465658499086,0.5168643071039117,0.5950160433345768,0.6091099798947917,0.6378185921088839,0.9832808700461563,0.7543422660117546,0.7881805976774603,0.9123230838532981,1.2534170774034075,1.8508405322257664,2.1074572453109384,1.1617397959587288,1.7617199157768102,2.276312420890658,1.4139650579957181,1.2818131898190914,0.9794968690900027,0.9420822431625093,0.9373816719656378,0.7792787850243833,0.8371322421629425,0.7670539576745761,0.8346233492942053,1.3489479518653393,0.9030410394022913,0.7887944842167792,0.6851390305187155,0.9106200870316296,0.840761502324178,0.7557480050032308,0.8721953789768532,0.7114908205173968,0.841878643375341,0.7794254553046165,0.8717617334563119,1.2100127557438676,0.8646204609986132,1.015211983966196,0.7357521426384835,1.1479010141428203,0.7136044264432794,0.6716291261793217,0.6169052815746349,0.6549359677361917,0.569042689043581,0.5852558319530149,1.073717494353003,0.6168290736944336,0.7634493780130759,0.5206409271326504,0.5869904032251221,0.5910667847005248,0.6006658426521879,0.6940475649567879,0.6428964008046508,0.799384486639413,0.6768095038100843,0.6220303972273127,0.5658114574573755,0.6765661641663516,0.6439312779220393,0.6106592769842822,0.5960093251839624,0.9260387197686626,0.5862150566979475,0.6582866661973339,0.43785154229166645,0.5170562129607487,0.4910674731015441,0.4587192207923644,0.5088964097096405,0.4650253491922382,0.45823663466601255,0.45552870737215917,0.378490896564067,0.3529668123215129,0.34980019507324833,0.43805568564584196,0.4350806900057112,0.5801139519746344,0.6539051153161426,0.7661803327431556,0.9278090587780187,0.7431853571046316,0.7462346232788241,0.6157778495649283,0.7057301747691495,0.5315168304081009,0.45881962142886556,0.5235995801835482,0.41501244611459837,0.4416346529278761,0.44725646714554185,0.5069112314583871,0.6417010973270306,0.6231944377957711,0.7060856482328419,0.5871012513942262,0.7555369067794555,0.8387653542891111,0.894325488441179,0.8019690738644527,0.7589338118753105,0.7768133289883437,1.0321453886990928,1.0997733484890218,0.842242654162774,0.7265270142761885,0.672060072464518,0.5534785777425794,0.5386617390125182,0.46773375013850177,0.39096848888175934,0.38265452329333327,0.48582843392592606,0.6861409252013762,1.2460456855682074,1.9541526153034023,1.4164898761368965,0.8227515163691079,0.5233677566100059,0.5132133248660736,0.39188545117151724,0.4609281684716132,0.48794633981635116,0.4970802617581947,0.6283818062901338,0.6037804740541954,0.7038048885427319,0.9486821143643999,0.9466129292299795,1.286339385759512,1.257453881608501,1.1724105404121608,0.8907910222970704,0.7482339440655443,0.6606663750355928,0.5524666084505885,0.46817906264446923,0.43491944300559016,0.475691189553826,0.6432906045565422,0.47542808476937454,0.4989108557494365,0.6411979564447057,0.45173410186979074,0.549926760610866,0.645901197704053,0.7229664357260115,0.7575270975307448,0.7440967167935588,1.1212820470517446,1.8508244739597908,1.3933361190044444,1.5617480322785013,1.170514922174356,1.3318678422321877,1.2728700830253272,0.9748781220536529,0.8308601992336629,0.8002811925160884,0.7361698599506243,0.679131664082361,0.6520782355097463,0.524795843545928,0.46813546450967003,0.44949614310026276,0.5738470134578464,0.563772587371913,0.5647561671585145,0.6573972305473137,0.6516069556696433,0.7252390623680679,0.6602124051831064,0.7394858773404159,0.827975557369851,0.8731948510800478,0.8273114738985367,0.944169755025094,0.9179008862817013,1.201377495854984,1.028565952435973,0.8782816566006449,0.8738808383488522,0.878951818661684,1.4885326426427343,1.1562509522686935,1.5648875331795762,0.8145058410348873,0.8060747863990433,0.9724034350214364,0.8943569063761456,1.0051875771364058,0.706232766684502,0.9525884132221397,0.8468403260539269,1.0866468727033196,0.7810494528662814,1.0809505024335595,1.3018777370643757,1.1026389578326128,1.4056717819410558,0.7846230920826304,0.6322876697580535,0.5732944097098974,0.6501161068107498,0.7375655183703138,0.9968233309407208,0.8204163400812027,0.6474672190914283,0.786072597120801,1.0053014637979651,0.8433512729944334,0.7503195288312273,1.0475440558578832,1.1956555743662607,0.8988508159190481,0.9665957684942651,1.1934772872924928,1.2030128771348527,1.0228717593037073,1.0850180714333473,0.905549736666098,0.8524794505233262,0.7458812804250146,0.7088866140040612,0.8448784705257326,0.6907743046047281,0.6547434120373363,0.7455785224065322,0.7696728642539099,0.7026333478204515,0.796390378143129,1.0469134638840512,0.9175386675983993,0.9773995354485433,1.09053656947266,1.5119184983737515,1.2150888792046337,1.1355813786303044,1.4315027893094836,1.5020913065625607,1.62969115370737,1.193103604768703,0.8986278285071636,0.7416733411242236,1.0682568197305946,1.100496820132824,1.2668540116028169,1.1472407221912944,0.8991441241706793,0.6917953417784809,0.5952143520903324,0.5096798239723626,0.420843369443615,0.43509592530836594,0.6027902600533067,1.1142881362830381,0.5015718311250199,0.5514771043159093,0.6097699618967457,0.6084786049811901,0.5095251661903063,0.6892891599408986,0.8193761399644139,2.3427538967625723,2.8817427177650075,2.876509004137509],[0.7753267140160838,0.8125479917865078,0.8285398168363124,0.7265995290937365,0.7602061032703628,0.7458556907952026,0.6655545701311446,0.7342562897472037,0.6453283679453533,0.5608139553492105,0.559703110421953,0.6931437359307893,0.5564020773724251,0.49741510218435536,0.5569982720470465,0.5499902706608102,0.54567843663668,0.5788261584110044,0.6153983530349078,0.6151034482436486,0.7587100409842817,0.7560126161119585,0.8605543882718752,1.2479887696222494,0.8897263185888894,0.8539411287128901,0.6823942661635061,0.616208780055994,0.5598240768871142,0.5681791111024234,0.5929721406687881,0.5913778023847605,0.6731526459034003,0.6368230695409632,0.6034030077190554,0.5627289660889568,0.579058751942073,0.5778732473272945,0.5831116407691823,0.6607447370760263,0.9089624204573156,0.672402374287571,0.7120671231988666,0.7954739296870609,1.0936331022522319,1.6913829997242726,1.947983475669739,1.0352648350111338,1.6504409161913616,2.2315938998844294,1.2546628839237597,1.3146725343250105,0.906273443892809,0.7804081845833052,0.9779299605619185,0.7032241868877025,0.7856259281201604,0.7573568415185539,0.8219974757485696,1.295706591533103,0.8403800653257674,0.6965527915735844,0.6121837440480353,0.7592911073968397,0.7191534791011223,0.7222799913602852,0.7856869820589014,0.615570341962453,0.773861593193647,0.7383707775089183,0.8089641099310665,1.1407279105375612,0.8253011984274314,0.9367917757172077,0.6736523073288421,1.1832097423500798,0.6169864246950197,0.6458893091211325,0.5749843469877136,0.6701373604393178,0.5995948218227621,0.6799393329614137,1.2469633978205263,0.7078013296521978,0.7213928295921708,0.622642250473962,0.5925951819698464,0.6678625700996424,0.5792466097487591,0.6898894360684581,0.6107930173542934,0.8047293730002651,0.6928128974765255,0.6476867091678175,0.6213757935355468,0.7052555519759945,0.6890780506618301,0.712141358950785,0.7484876161947009,1.0667155011687772,0.7695631300539707,0.9111330039375133,0.6900308398998759,0.8517143381406376,0.8028265342746855,0.8329833432334572,0.8421238737624663,0.7894424293575586,0.8201128966504456,0.8236215486598686,0.7698094566988298,0.6876497993754743,0.6616263210363263,0.6410884459225202,0.5574713682031962,0.6243823588699047,0.6725992182640541,0.6649601106433223,0.7321848207025063,0.632476904792697,0.6165039331918669,0.6162552025433501,0.6778190565854569,0.6079046301707204,0.6077926676882927,0.675241723530096,0.6841309878511567,0.7055834190342877,0.7488084501055526,0.7687212526743742,0.8398008392085754,0.8405884223491961,0.8534884801146443,0.8102985063377102,0.8821208390963814,0.9779379138468698,0.996659776381408,0.8490206454052226,0.7727233538567235,0.7640331816502236,0.9184869980619139,0.9824060905384774,0.7178509231079222,0.6603396181144774,0.6338624496489658,0.5732912285317702,0.5767170334126575,0.5893732344452427,0.6337981576328179,0.6796390746490879,0.8117427412868004,0.9506844829095389,1.4899227572020235,2.0008764723507246,1.4954361864869286,1.0392725074713032,0.7797776410460684,0.8145321807954313,0.6614360286116483,0.7851640084838298,0.6692679111548762,0.6078114424580365,0.6498128282406817,0.6202848576916846,0.7885623195606034,0.9008551564816275,0.9548158449780492,1.2319187423850686,1.2174872432016932,1.164239904047037,0.9201438835327633,0.809049915344547,0.7944035950278859,0.6958090995381918,0.646005167855863,0.6984854937542266,0.6928136069196617,0.9103361092819185,0.6643552438039105,0.7832124581962513,0.7043677402924484,0.717985512650157,0.7344469439427366,0.7658666887146729,0.7994645985688013,0.7877664452021867,0.7256195819769533,1.0134883298773172,1.9561065125305972,1.2413807263254213,1.347019733964124,1.1117666296017206,1.263498642653163,1.267142314587516,1.040065208855814,0.9359777477589462,0.9357712581815718,0.9161625981128557,0.926235832354358,0.9699130403126415,0.9201102399669089,0.9049852268220856,0.8712557957463793,0.9479911796158403,0.9768263488315426,0.9887408833629682,0.9938120015338314,1.0153866211688434,1.1169802726593818,1.0424297323404217,1.0781472184100536,1.166770187539322,1.2293098611260884,1.1417130575277397,1.2108892302053922,1.1945730847528622,1.4004836065420387,1.2887085889470509,1.2046248167450042,1.1824022562745344,1.1965980033459076,1.7707172980298416,1.3506441599799317,1.6483519096604986,1.1218509234866052,1.2022393013312862,1.3609317137248143,1.2576571498109677,1.3391311526619212,1.044525339274233,1.1973453681133726,1.0881994534235537,1.242661896395907,1.02519934145112,1.3156900735457315,1.5132318832635834,1.3491901514024958,1.6511992300648513,1.1088882504416104,0.9803731805741804,0.8917567778983,0.9838062391307577,1.0494204153096807,1.295187465924862,1.1468909284582864,0.9925572755636421,1.1494997857303035,1.349242695701326,1.1821105758799488,1.1366358719398275,1.408938774979942,1.5413706418998778,1.2770351417364036,1.3391754093896326,1.5550766959332916,1.5621396793624036,1.3841817878051148,1.438704022414912,1.2765362062986279,1.2449331401786325,1.136231894987815,1.1114873883360576,1.215929566277756,1.0737590370087284,1.0400176700980723,1.1096735397689075,1.1125791014006297,1.0500688480099343,1.1124891927174358,1.2875776991861323,1.1783699034718158,1.225097721067528,1.278313496278438,1.55115671134861,1.3869132459486955,1.3301085817742273,1.6037900089480044,1.6714242034934073,1.8963433188544438,1.4354017714210663,1.173137305342337,1.0651650009646196,1.3231283925141104,1.352255692409789,1.4797156589447547,1.3503835086954505,1.1582141928421088,0.9469768749506312,0.8880459285404497,0.7689540855845762,0.8463628237260655,0.8743596601382353,0.9795354937789144,1.4674727468173756,0.8852916495246421,0.9637071606292559,0.916208564692947,0.926987713266316,0.8576209534987346,1.0592898951870535,1.0285003182806565,1.945905523354703,2.5367379650962474,2.960810590090567],[0.4619466671014145,0.5090259086002159,0.43656885171936716,0.34166863803731584,0.4636072647405177,0.39070410387744664,0.29018846826107886,0.3456323369068063,0.33636557901795855,0.28248064773407705,0.28027809723941494,0.40086658466974107,0.30526892483331175,0.33548326756529545,0.3784046771295563,0.3559260220323267,0.4674999170517052,0.49943926850260173,0.6177521970032838,0.5858244671576646,0.7296965034314058,0.7521210378919589,0.861666131152886,1.2804181113517175,0.957988473504941,0.8844655477953828,0.6802374367260079,0.5601844439629012,0.4596937120604101,0.3879370130280462,0.4021458346221324,0.4020434034938468,0.4515102960521114,0.42367154203761354,0.3808310486883357,0.43967029704532695,0.42155915680860073,0.5166888819402357,0.5368076694127053,0.5995276589090356,0.8907691267511072,0.6691203431930198,0.7213309537108932,0.8356107198411868,1.1331852191559029,1.7231601368598,2.0301656598034223,1.1200820895175336,1.6916682585339644,2.30717264002439,1.3717639461419024,1.2221464985883586,0.9176209850515524,0.86989070000402,0.90929610947034,0.7255917813338083,0.8037972746096149,0.6965837114841134,0.7636976261710947,1.3520515671671909,0.8392455609502383,0.6902530909280412,0.5808851348558399,0.7721170676783564,0.7169030103818738,0.6522247104461075,0.7658485096578829,0.5528419373838912,0.713031726584121,0.6334468572537565,0.7332572248427053,1.0814040047362175,0.7502404327167335,0.8694779048594947,0.5707401343950748,1.0537342832139625,0.5438648012479438,0.497952953163898,0.4773847926660717,0.5699196330759696,0.47708263913491084,0.5299875229128004,1.0068573960480738,0.6193598871499248,0.7508323421892397,0.48127303843189123,0.5168423184821451,0.531932192952089,0.4850455284048114,0.5440731092880219,0.47247869951934585,0.6466417674764243,0.5191896333839132,0.43968285416036046,0.41013945939991214,0.5296298287757205,0.5258990782920782,0.4654452115100885,0.45324886588164015,0.7527705462094908,0.4541454307592548,0.5437369247427475,0.35887378221223265,0.45198565230232934,0.5059766094021682,0.48679521222495586,0.5517414876798235,0.5170210668758597,0.4795039662470036,0.4966608834719696,0.3989153005491306,0.35082480493302803,0.30281367198721393,0.42347566639602807,0.37326733034992216,0.5284753730101496,0.587918587136783,0.6671578598137776,0.7662176492589823,0.6155114170190559,0.6231312170002177,0.5319402181705357,0.6336314381204087,0.4775971745953416,0.40380369782549197,0.5130853713613445,0.45926192311307557,0.4712233159247809,0.5173522347045736,0.5633925659209117,0.7045401320448387,0.697558449721437,0.7675124795968989,0.6293465324260633,0.7960445475942357,0.8875045354657758,0.9151822260556436,0.8123036265006496,0.719319781218692,0.7327352667271857,0.9378185406592497,1.0103084561670852,0.7513867565372442,0.6479048610676529,0.6058433923769573,0.48338854684865573,0.475595318635788,0.40963104849412507,0.337698387108537,0.3285094526796485,0.39846878554597737,0.5661088184652948,1.0685384413614358,1.704365569721032,1.2394006319902702,0.6495696107240927,0.39923476961508386,0.3972480675120498,0.3243509180651629,0.40634886787737357,0.4661408661418879,0.45483805429226615,0.5976193750240386,0.5757241642630699,0.701655880116069,0.8970800322325525,0.9435308855862389,1.2659905078932814,1.250362723959885,1.1712648225895907,0.9014232249343975,0.7537506248498513,0.6821068393124665,0.5685703236341642,0.4546014711441443,0.39995314112311237,0.433643160555527,0.5879389603197956,0.44884073212377207,0.4800309780910195,0.6936007867324397,0.47226227058414444,0.6000094650933357,0.7109702656098194,0.7522646739838554,0.7699677789522494,0.7315673526465277,1.0962455010818868,1.9853365700485028,1.3889552919733155,1.5783944336429863,1.18623346668779,1.362801678477327,1.313358578988161,1.026973089576944,0.8956182386789776,0.8684722113986381,0.8207469959149933,0.7576442894243168,0.7225718541177131,0.5809178914387806,0.4991220625388714,0.4935988261055084,0.6155278535982911,0.6026370150126471,0.6057943024377951,0.6808765519679228,0.675830885334283,0.7399350632009432,0.6988786271295404,0.7641793860492287,0.8597926079801524,0.9299569267166193,0.8850267331212427,0.9637167181851468,0.9077486601052593,1.194083036325236,0.9859938759549897,0.8573625143597777,0.8583673183045403,0.86947333776163,1.358780037820949,1.1753389534718865,1.614818972737322,0.8203126884980818,0.8213028118613456,1.0201510691702396,0.9483607588076945,1.059912709616482,0.7568733587707819,0.953112678332399,0.9157034672084083,1.1161495475555485,0.8400536509374661,1.1271778290666747,1.3614715996873314,1.151252990237255,1.4426631487059236,0.8449476760592782,0.7038787189757222,0.6427319245873981,0.6932966901452053,0.749014041369341,0.9450582521803538,0.7437426203037133,0.6335974937844154,0.7527892583784871,0.9127854884621766,0.7886899840772066,0.7377113622104264,0.9882952830425075,1.140282339719038,0.8991070064953696,0.9461896294605936,1.1496066507827662,1.2305511632131962,1.0236593532773257,1.0655250525416282,0.8962507012625484,0.8402439139869134,0.7347400585417411,0.6883856398219104,0.8408382698827495,0.7075085316378535,0.6650246431093941,0.7407231179133144,0.7587840226670596,0.7283882117640711,0.8325448405341389,1.0183167330075622,0.9147758197962063,1.007973115075783,1.0868871992625149,1.5035445460371875,1.2110737932908027,1.1092266430757438,1.399110376857584,1.4329632961747147,1.5194719089908504,1.1266900053404212,0.8787454930790549,0.7351364527218782,1.01611564078995,1.0715492279043033,1.239984625855845,1.1511384630787969,0.9203141299112293,0.7216596911657922,0.6599695846535407,0.5545199251074717,0.4654016486888701,0.49485618266855236,0.6535448751801188,1.0137342469844002,0.5880203810735853,0.60653324530193,0.6651709316685175,0.6456316288396134,0.5633316429569991,0.8556073018306479,0.7970661601278196,2.0501339833666936,2.2677578161984,2.8161026379475413],[0.5142120116303728,0.5276336784995348,0.4935633438503351,0.3750762285356413,0.48942435692215525,0.43307605513976477,0.3427959508411893,0.4125412555588037,0.3743006482952786,0.3036573453073831,0.3112954708059761,0.4330129629985814,0.33039205826146617,0.34762240164735575,0.4008021313752974,0.36328082520070293,0.4734692040500561,0.505026332045064,0.6157835325046431,0.5814789823269615,0.733612035039277,0.7664030137206072,0.8609303581022034,1.2812031550525045,0.9600117814185211,0.8811891604308756,0.6634335716986964,0.5417123756068499,0.45128647353910456,0.384739896556336,0.40608413574637287,0.42267217988860784,0.4752079458412378,0.4312341757704608,0.37992705336415644,0.43198264364816735,0.4232640468176989,0.49729029790111956,0.5160979787679163,0.5857686029908937,0.8857210832772298,0.6442186913085937,0.6995167835107649,0.8234989597373639,1.1534481984834537,1.721820750432364,2.061933495438381,1.1477299126078162,1.6516494057559112,2.3070870278808573,1.3485218608587966,1.2731680261921956,0.9243915939876047,0.8563196385409597,0.8904423508339911,0.7181197382139003,0.7985273496161063,0.6762236563934618,0.7475440513011078,1.3592113036695956,0.8434950597142394,0.6816018080879748,0.5680112644851832,0.7729329125666812,0.7179111333617499,0.6460832686767382,0.7656560669652694,0.5567582234273386,0.7212263073719037,0.6535807743471803,0.752559452174511,1.1150329568962858,0.7720677898763447,0.8853870831972052,0.5826961366773532,1.0538745063078223,0.5418530268077002,0.49846854059863327,0.4654280155061378,0.5484661731879514,0.47059816587386216,0.5180498894618831,0.9750896873877821,0.6225146459457455,0.73012148724018,0.47011290154029006,0.5014857602864302,0.5239740707074892,0.47411591204280223,0.5339813708249054,0.4765999125362157,0.6584922366119865,0.5248745872645456,0.45707096407297576,0.4269560440749192,0.5450488681819012,0.5446835939098252,0.4901167049484216,0.4848827045995881,0.7928490175713273,0.5030280348930766,0.6003024280200124,0.405681612754183,0.5036116458418317,0.558412220782388,0.5514425577700287,0.6194486316974569,0.5612030073006046,0.5291062577851505,0.5484604086340978,0.46738472511984613,0.39915367674328844,0.3363172227189876,0.42804574699137393,0.37151673673288355,0.5131434412159185,0.5801107754218751,0.6566348477557875,0.7678270087430662,0.6142409474527819,0.624365256973028,0.5340926808066123,0.6251807639374204,0.4703311908875478,0.4059681018610722,0.5141586098322986,0.5337369446280844,0.4850492215111224,0.5695704859912072,0.5969507744503918,0.7322398283697685,0.7416928702402934,0.7908543729722244,0.6578530550597037,0.7995960113052011,0.8881322284826249,0.9076419007176472,0.8048271031180987,0.7085901415204487,0.7130757050898189,0.9120917153757894,1.000030160660726,0.7335588381086597,0.6317131470223971,0.5968168441881432,0.47277897103738364,0.4649930826439081,0.4155523745286775,0.3620291519462683,0.3603346044990144,0.4507518126242912,0.5883632476543048,1.1166043420273448,1.680774929226138,1.2163563057998656,0.6922199494526329,0.4475070534685028,0.45287373417033555,0.36938699296025973,0.45046518716846096,0.48033756206660405,0.448548535906687,0.5856857220048014,0.5680538551355319,0.7109382215798411,0.9004119983560498,0.9524831811731945,1.2918871633692712,1.2723786120305653,1.1853154482754436,0.9020366097684108,0.7439533262161142,0.6885969225592977,0.5732662756900417,0.46513859344467434,0.4250460300587597,0.4633298534873722,0.6136597659943583,0.47152991551322415,0.5108574534722918,0.7111210773916994,0.49090707889694774,0.6167909913413027,0.7352475173496574,0.7707564183829281,0.7902863377633725,0.7298625314258117,1.06091221977404,2.010678095835738,1.39872616004366,1.6192615585374706,1.2070832685256507,1.3690236351529976,1.3183700475117701,1.0512964851663873,0.9303783170418564,0.8923510647146253,0.8673132998771002,0.8050464154518049,0.7449608648331082,0.6599908892489768,0.6008932135941838,0.5617972725741199,0.6904320714692684,0.711227639549686,0.7055006968348536,0.7400784273667667,0.7764768932797717,0.8886413649891537,0.8134192645806709,0.8713756101755635,1.017412865237258,1.1087676230135632,0.9880407687464801,1.0963097696029587,1.0126107449463861,1.2994459370517677,1.1153359475150766,0.9846609854485839,1.002463290007701,1.0204417989349488,1.4609756469013926,1.379977864083682,1.6686814168753412,0.9092353104241471,0.9465788564036636,1.1545277199665696,1.0590755475514717,1.2142412928162833,0.8595065478041908,1.0581458547550024,0.9965789183504047,1.1673351663170142,0.9334159611478884,1.1699651385663443,1.4846618028781238,1.2358559391813357,1.4770980138117358,0.9121967048717998,0.75751246398185,0.6884588175407858,0.762728641073858,0.8078393087299564,1.0680564981570524,0.837088597797351,0.7323941782043724,0.8845165413896364,1.0404594764103197,0.8901518774645465,0.8682519229288823,1.1508472434855495,1.3079512140512646,1.0575194354107527,1.1333727151176323,1.354195764294005,1.4226576346063209,1.220707127603494,1.2799159827264919,1.080154910549484,1.0101818578435913,0.8861040321302455,0.8455482440694463,0.9967426516438674,0.8296670341969163,0.7721007720324671,0.8648975322961905,0.873072764363815,0.8201107771464766,0.941763821065795,1.1475479331579994,1.0303047636367846,1.1199516899863649,1.237342418821433,1.5956430976942237,1.3372240849474628,1.228985877193953,1.5558712497488156,1.6159284932903193,1.6921445011203953,1.2358459039305276,0.9588298538130435,0.8062274168192191,1.0742336037954205,1.1456712852374735,1.356790063685082,1.2328229549880503,0.9827097102112549,0.7524075344341896,0.6917872574584217,0.5776825495050264,0.5309986054792122,0.5612102441278629,0.6788833162979278,1.0107816567368533,0.6112740908095177,0.6446301314660685,0.6482480284632074,0.6470690432377475,0.5340601260171531,0.8822955156644284,0.996658869032642,1.559197779954834,2.062153616126773,3.335570822867754],[0.5610441484462151,0.5575915993794187,0.5503411858455866,0.4444497576933413,0.4978157803421833,0.429079232144054,0.3861332185148017,0.5010163944575232,0.4032730085740252,0.29700664084200185,0.3180533721906464,0.46370803820001505,0.32417862048111723,0.309135269244163,0.37997453641172785,0.3404031691558835,0.40418317973249135,0.43125084308044576,0.5556836957762981,0.5109987394252415,0.6597415508254794,0.6921945833475484,0.8307956888901393,1.2079445100824169,0.9162465454858854,0.8198409109448991,0.5897600605331305,0.47195168886888106,0.3739271321628858,0.3521193732699084,0.3834402918503185,0.4207337442609097,0.49994869644864265,0.4355533849646796,0.36915567565689983,0.36587922815030227,0.3855963029247957,0.44801155695970857,0.44270813214435684,0.508110387792595,0.8030988790972321,0.5793739574356485,0.6327155227394838,0.7544282503204062,1.0904930379853752,1.6939819966581628,2.0476695478073577,1.114673453829719,1.6390819044823517,2.341094874352935,1.3259568171236806,1.249450596684879,0.8747352127175516,0.7546962750393756,0.8645767012503474,0.6416208409093315,0.734843999383523,0.5999238358070698,0.6834683737571086,1.2956673033667074,0.7801471796868126,0.6437860082200692,0.5175472633537135,0.7035827766712605,0.6551783328521374,0.5893855118422195,0.7133079264075899,0.4989934033669044,0.6772943347929417,0.6153285845452813,0.7378725054628047,1.1090944870993027,0.7528239072731906,0.8560394933014785,0.5400473707533411,1.041691092171495,0.4851904820914777,0.4717106023954564,0.40820884819599407,0.48041525315430633,0.41502036748021703,0.4625948171335093,0.968067449283265,0.5716073162032842,0.6557085175378066,0.41652643762813724,0.44281743894360603,0.4925651536478553,0.3937829775881036,0.5108081538268721,0.44306951683837703,0.6381322045632792,0.5190150056402721,0.4609268281569653,0.4275683703893808,0.5546769026359886,0.5484583660394109,0.513322567628477,0.5290996412488937,0.8569803495821418,0.5759190566630659,0.7001644182025415,0.46688918250119105,0.6001115187761722,0.5816470310641887,0.5728883331895044,0.6401766257373892,0.5976649507516645,0.5864290153721857,0.586002608067782,0.5208459308738493,0.4223999000033985,0.36239437262436897,0.38192464139352705,0.3500163516816044,0.452245754201368,0.5270038804446773,0.5809225321718412,0.7017350766184283,0.5331438291276037,0.5486678118242493,0.4682926670124547,0.5584078724193097,0.41565035989925336,0.35981573874336426,0.45411417307428154,0.5156694698320876,0.45261437489635714,0.547275227423011,0.5438674407888756,0.6874000557154811,0.7144051937996583,0.7375491136840006,0.6111482398919471,0.7247546848161146,0.8010105664990381,0.8544875135279003,0.729589806083173,0.6217605952940103,0.6133952745354093,0.8302878285528253,0.9233876640861921,0.6555164653269682,0.5484467332480196,0.5119737943108469,0.4105288970824568,0.4060182352876451,0.3768229299577536,0.3620246132473085,0.4237327015816772,0.5611075635189966,0.700513231550061,1.2488369013155411,1.7377420699297403,1.2707522390998234,0.8018367430742045,0.5318946827854075,0.5682155650465457,0.39938411534041224,0.507671546835037,0.42134962903193324,0.4054055325780644,0.5042887172473262,0.5006235412827226,0.6404541557746953,0.8106455247768314,0.8787596151876921,1.2292546243768832,1.2147208835852898,1.1249536561644067,0.8311469753443836,0.6779407174368818,0.6206011332518759,0.516617020800395,0.4284808216108334,0.4357467194736922,0.4688877414434912,0.6358906894885954,0.44432221760468305,0.5232962456339999,0.702301494034554,0.46159377148800745,0.5739211175713914,0.6830997763902645,0.6961987020987104,0.7102191445652296,0.6619733844622618,0.9843235434838441,2.076971250955657,1.319939613284444,1.5324460252076237,1.1043440290155841,1.2737237134488013,1.2323522141602041,0.9909264183735347,0.9155483287635303,0.8662754146202892,0.8328690666670406,0.7877940911861281,0.7391105659298202,0.6833235663968634,0.6969778669631329,0.6248989328617662,0.719844093464327,0.7927737208557618,0.784447806210664,0.7585203896822502,0.8368566555474716,1.0122743439947177,0.9032883265229841,0.9368494130859154,1.1420401795736281,1.2599961806740354,1.076065838594516,1.2019292982251681,1.0614874462943977,1.3913512231085512,1.1827928403574484,1.045761087094849,1.0944128348981013,1.1171303973747482,1.5573163093585105,1.4832304943144767,1.668591860207942,1.0234390785605334,1.0532934041781865,1.2176409372531287,1.1050275001845955,1.2672870481502265,0.887687039919708,1.0784132293038775,1.0314584326039815,1.215150615017479,0.9503690665288085,1.1246708353284947,1.4929875557703414,1.221566340398616,1.4224903620716545,0.8965463139613492,0.7567113544263414,0.710425478654302,0.8301902857308917,0.9100350921582843,1.1922472985249466,0.9809243958811374,0.8485298971000323,1.0366737527879522,1.2201357882834643,1.0463032386333209,1.0113648935856534,1.3327715016642514,1.4895135926603211,1.206058293124048,1.3171869002386056,1.5598633500597117,1.6187986023725622,1.400558893585465,1.4699913171894912,1.2522845236272124,1.1809405337471046,1.0397523145768799,0.9900657219684683,1.1253230395953042,0.9262963892754994,0.8651048323622786,0.9514347337591195,0.9498340654281726,0.8578066571980189,0.9890501602165848,1.1946186212594643,1.0719155872552764,1.1477114059024618,1.2736658504145177,1.6045106823953987,1.3956868064411505,1.2751443172514012,1.6155349229984,1.6839275921159862,1.7110659648385762,1.25229166937857,0.9859876726400113,0.826035921542069,1.0780952700893598,1.137809025337401,1.36864961979708,1.2239628500050244,0.9651238306053228,0.7477934572542675,0.6770341548732198,0.5500254993432561,0.5941570925073677,0.5918010193857266,0.652645259984207,1.0451845892435994,0.5827984254996007,0.6592082265315593,0.6691165970318086,0.6601808326069678,0.5025082170370141,0.8802978695494432,1.2805584723769217,1.258562345144503,2.0023800245360395,3.6091225694352262],[0.5234879567601187,0.5310406427356377,0.522991532203392,0.4240936774634028,0.45764810898715064,0.45778703097002504,0.4134710702158938,0.5211019746274306,0.43814968554081823,0.3462545871004407,0.3740318730903365,0.50809413214808,0.37239379753996404,0.36237948716308754,0.4343271727295,0.3931626443867976,0.4340976467663816,0.4341687094048226,0.5353995253128714,0.4751561289603525,0.603153784773676,0.6338614741076377,0.7721455743963807,1.0980060365507878,0.837649772343484,0.7463136139120983,0.53211620607506,0.44986272954115963,0.3947073337488883,0.38417972582073895,0.4287017992079047,0.4751205278832126,0.5513136094721685,0.49330237982064234,0.4278569007145014,0.3831099749061173,0.42784122946408976,0.4482280864606633,0.42219520085286144,0.4515286831632481,0.7279231487752801,0.5367380165666903,0.5773682725685568,0.6790356961636514,0.9890252361047364,1.626779525131184,1.942301575013001,1.012062014571139,1.6099574941255852,2.338190847314931,1.2684829834483207,1.2212323591261998,0.8381834484557749,0.6828419969179808,0.8706021899492993,0.5978400493704362,0.6616759384854949,0.5460091384627979,0.641687356969806,1.1925351356120488,0.7050204115676924,0.6143466248250885,0.5096496298007855,0.6619154110021317,0.6010341503186899,0.5418617980369811,0.6624841504033262,0.495809254657001,0.6604154019715103,0.6247555506873931,0.75175258982214,1.1100056764671191,0.7760388271437875,0.8490724570476844,0.5464144572362263,1.0443540814559262,0.4806785622938024,0.48419278464518134,0.4294851413392079,0.4747648913598117,0.4227505067949047,0.4519141385006866,0.9797791520366114,0.5298998369575127,0.6075580437306558,0.41570374523611825,0.4327293444714933,0.5212664531088526,0.3962435685999256,0.547579340243163,0.46870670559123667,0.6314056664553873,0.5380680004655083,0.500524599892525,0.47022897944510433,0.5853139708128182,0.5781186228404607,0.5580673012889051,0.5667284335594331,0.8815726376986535,0.624115053878566,0.7500428334265441,0.5069576789994389,0.6271657219910216,0.5614878322099769,0.5761960820945677,0.6376944487416096,0.559869060458452,0.5596794369084733,0.5789770448162281,0.517924120076959,0.43849476127347664,0.3994832760477941,0.3804990549022982,0.38138651334782625,0.4383732207468234,0.49626775644651205,0.5428179457993939,0.6688410362360327,0.5161347846942748,0.5238866985409094,0.46003719364164736,0.5342344520977576,0.41413550333567695,0.37708210051478674,0.4350898808057733,0.5460831703757442,0.43623572182218384,0.504550765729189,0.494997779505364,0.6178196648441059,0.6560878812483624,0.6506508244579662,0.5520200378516804,0.6379191501572025,0.7215090127285249,0.7831246048872964,0.6480730845637509,0.5594108645750787,0.5642954738215533,0.766761287344364,0.8457537658835739,0.612808629466433,0.5063832026700561,0.47513258001530756,0.41797005057326264,0.4105477648065327,0.4053392063664165,0.3977690942301528,0.45286808624048625,0.5789310858042293,0.7217429717385314,1.2717324290086136,1.7307264244010439,1.2652848268065184,0.8342967540886068,0.5763911029927007,0.609691604941626,0.44727547709986715,0.5301747007379877,0.41980506993356165,0.41624938919647037,0.47295243686943034,0.4641837298532068,0.5742052127176852,0.7616013575555828,0.7845453319737302,1.131297362768168,1.1264995757474463,1.052264358918735,0.7374739452692293,0.5973149434092098,0.5562183357192506,0.4801425133484221,0.4216255583547853,0.44495713892460936,0.4927416062443274,0.6587541755810742,0.44764388533318483,0.5318697272371783,0.6580218029895236,0.4364447563155252,0.5066676051911322,0.5999558670020742,0.626996564513253,0.6350414999361234,0.5926961625198367,0.9085673745510001,2.0846528487864107,1.20148128925649,1.3826919748322881,0.9766236302496573,1.1519498596024997,1.1305881053994986,0.8860604341217311,0.7902184130873495,0.7528060526801233,0.7404753830267298,0.7130409083596464,0.6985477446414409,0.6484584820391301,0.6955569929597655,0.6147341740965181,0.6773371817139636,0.7609059857544935,0.7646069537843693,0.7383287672109603,0.8019854550914939,0.973763936731208,0.860077213359455,0.8866420783489685,1.0701283897325582,1.191556803567453,1.002843187768085,1.1061049216289311,0.9977871241415396,1.3440734788189503,1.1392188590113506,0.9820614451363646,1.022073995447158,1.0422868645157972,1.496628807969597,1.4020988456233374,1.6583157417402448,0.9474875993568533,1.0169563717350465,1.210720632816638,1.0883652622574096,1.2080295936632033,0.8411927691044051,1.0547937125049498,0.9657275580377936,1.162957567177495,0.8584294991051967,1.0375981773417289,1.3819474380072896,1.111442878742122,1.336787931490528,0.8199003106630284,0.7128177670717912,0.6821596033521876,0.8190351716624034,0.9165705682708771,1.2047971359831542,0.999538292479121,0.8538878002720861,1.037554139014849,1.2290589859769185,1.0665884559741337,1.0037200748143893,1.320694868790269,1.4791719051265273,1.186594732096582,1.2757264876168963,1.511933543942818,1.5689808691820544,1.3344525702764105,1.39961852268307,1.1857566842994103,1.128614395538155,1.005355662835801,0.9493192000633752,1.0712661401368972,0.8873608542963576,0.8283202277522782,0.8919804539175287,0.8901908732111989,0.8070579661717421,0.9095988630626617,1.1262397016279053,0.9956118097697739,1.0384230643249874,1.1650506519120762,1.5111954741817446,1.3062790505055353,1.215645473100229,1.5133550910910805,1.6047786663812242,1.742713408050197,1.2537546560932844,0.9557101227341015,0.7983381351758031,1.0976799814619167,1.1289327727588383,1.3253513036423008,1.1786245469115884,0.9267820629210104,0.7091416630652064,0.631817084207028,0.5177956868685314,0.5831543526188151,0.578563743747587,0.6346915124665807,1.0454624809961677,0.5639277527714178,0.623665458122841,0.6475739944631222,0.6663631191224545,0.4772951977870029,0.8294115492806292,1.2381443951738738,1.280656989358616,1.9821849678590793,3.4671946325998375],[0.6637084132101307,0.6680225026678835,0.6282607352619873,0.506179629597409,0.5586765887510261,0.5988337013502686,0.5598916826243291,0.7327370442577469,0.6306405589444781,0.5200695426926929,0.6099797024439421,0.7743587874145365,0.5708794308619831,0.5373343584529067,0.6617816823994237,0.6143772683411536,0.5622492977461121,0.5639410079655235,0.5855740647913681,0.5512621929496953,0.6007635050261112,0.6192383128893215,0.7916810668379461,1.031290231159558,0.8302759298287778,0.7273168236769391,0.5298360632048541,0.48269951298874675,0.527053117881137,0.5893506118494917,0.6712729208010713,0.7214180468723983,0.8391758142751589,0.7698424960883666,0.6996292535124621,0.5963785489368364,0.6195968032122691,0.5548865134763283,0.47882008751069893,0.48278606137491886,0.6865798473328177,0.567543614428218,0.5713370760933278,0.6277594634815781,0.9447796690047853,1.6298829666429762,1.8878211696555762,0.9044450980189923,1.6405338978848545,2.3318778420391144,1.2167907881519682,1.2598271629821662,0.8377797307582556,0.6325459363909879,0.978558038664292,0.6113140403040829,0.6257372583711531,0.6295735422069356,0.7137067656193581,1.1397307282061964,0.7156271739501798,0.7588976598101792,0.6532545884041876,0.7725441133214758,0.667867354027124,0.6760605919277769,0.7686643235901602,0.6381231080244911,0.7378704207651204,0.7641472070000324,0.8774276971942364,1.2153633169036877,0.9310589663516622,0.9645513255891656,0.7325503057930847,1.2013667457443749,0.6815569302418812,0.7366535855392178,0.6408484877193006,0.6325631231145737,0.6074566828850172,0.6109053434654028,1.1853223976102862,0.6272971192197936,0.6230681123820705,0.5412674982193648,0.5487541213111019,0.7037006979963941,0.5867711349781981,0.7736813959616555,0.7024265480415988,0.8449358970667583,0.7720424754214965,0.7959085645840402,0.7455532568224281,0.8632885975920922,0.8123076031415901,0.8618710084752278,0.880708033724938,1.2094949708496971,0.9186033454038204,1.0073449516240274,0.7761474600333138,0.8709431559889814,0.7198550049978012,0.7416199361714022,0.7647601546920205,0.6696497692033802,0.6808797238413321,0.7175607628756308,0.6630743265875195,0.5787200845770049,0.5799766287434214,0.46355900651998816,0.48551144503310245,0.44499818746177344,0.5188040482468327,0.4811214359923504,0.6348030364083331,0.5441605388398073,0.5154381390190255,0.5033537924507081,0.4795654280059758,0.4146076673324161,0.43353847554267394,0.46033998559784794,0.6778176132205614,0.49452503943302534,0.5466074184512162,0.5599027131264541,0.6083486739427161,0.6524853908449831,0.6056645320688406,0.5952682630061116,0.5854010510251187,0.6380554930251934,0.7344080105871944,0.554298406965128,0.496564214617937,0.49724980496313925,0.7020541593986684,0.749238027960907,0.5256711441514532,0.4514069343021849,0.44283794347858185,0.48172023802486374,0.4595400349509046,0.5337210447595223,0.5675704655780934,0.6549779643461459,0.8092694390639749,0.9704521276070904,1.532025408427342,1.970837515450445,1.506491984749917,1.1392367203703413,0.8606909875554146,0.8817686907723281,0.6806374554893885,0.7207751446045473,0.508493673081278,0.5013459656243577,0.4433118764309255,0.4529388852892283,0.519838114361263,0.6631208606662962,0.6736824658396613,1.0154910924353582,1.0340408153103253,0.9578033014559336,0.6478989456368068,0.5171297183968389,0.518366404615607,0.4924349396930644,0.5239807901845661,0.6459898365574734,0.6693601328633634,0.8583049488226142,0.6006895791859622,0.7166297810881269,0.6305248716158435,0.5439377930570758,0.5291394448480543,0.547163381366038,0.5603159856857944,0.5567753940578622,0.5487168669047722,0.803253444373284,2.052039765360638,1.0530811363201877,1.2142858420838702,0.8476779518752513,1.0175637573336136,1.0205092758541283,0.7970279718326472,0.7489687376774391,0.7221627696261668,0.732030428766648,0.7454612839068865,0.7576765400941335,0.7597210722433326,0.8789903853830321,0.7580346790177622,0.7790681737747296,0.8889351107568035,0.8927248259032241,0.825460041496289,0.9037924334190817,1.0883636697805554,0.9428318547080529,0.9626089017567969,1.118908046424286,1.2198472723974945,1.0078155360425742,1.131590561415543,1.1011766858181227,1.4105959562357604,1.2956221118145035,1.0936200873453097,1.130915376949881,1.1634264910357912,1.5395493370861442,1.6530067600593383,1.943804130247185,1.0410333392670856,1.15857327305169,1.3571149992876217,1.2335159327342098,1.2836735700425725,0.9391309354078159,1.198002629555982,1.0149892419686304,1.2183043577523318,0.913356103925444,1.0313358703812394,1.3248819087713843,1.0987584785926727,1.3237687322147147,0.8613146186194344,0.7937957023450771,0.8148926677671336,0.9976884079210632,1.1162874867326096,1.494827626856579,1.2618845669046517,1.0608339394134993,1.261400528495518,1.4863965186353216,1.314381958271932,1.1806199655961425,1.5160641561513661,1.6618928301397338,1.3309609825860376,1.4314958641230378,1.6572770929891056,1.6838405943769796,1.4117371231162315,1.508648410975587,1.2906407784636136,1.2680352637232915,1.15908240578429,1.1126175343638984,1.1989278531129293,1.013480797167177,0.9678754192678911,0.9948106876814061,0.9876845570150758,0.9053563089881463,0.9989599840794869,1.2102711428438042,1.0873041135407309,1.086205984866043,1.2541756338082477,1.6243163026955363,1.3912796283811402,1.3084091622859986,1.6186933338745098,1.7599743636157523,1.9252779097822827,1.4137709075299092,1.08557223960688,0.9087964578303175,1.2391803516689686,1.218913811600405,1.3963412994165243,1.2125887370485093,0.9852364444580651,0.7626976204212486,0.6886399978829498,0.5906233874913183,0.6964527894778346,0.7062931911246674,0.7960417772347903,1.2224666327258633,0.6779210506614025,0.758376202177691,0.8488097634420576,0.9078979576962033,0.6545558339384336,0.866429057819916,1.265380124314149,1.4650860948152835,2.390470461748949,3.233508338209099],[0.8478199497726084,0.8905749268387059,0.8624328025855132,0.6916241956949528,0.7492947249116076,0.80612870717789,0.7103706305033792,0.8803429940440837,0.7171103482357266,0.5952129971965362,0.6286840183149526,0.8333560261389722,0.6347952850718521,0.557106972678571,0.6684754847478833,0.6543265639233617,0.6047345208894439,0.5978936107014914,0.5680751680379356,0.5749982983507251,0.6449025128366042,0.6958863916486551,0.7196317026692475,1.0095573249516072,0.788541222896583,0.7118368949570605,0.5767899724248251,0.5432433753123455,0.5816904642624748,0.6606040709375142,0.6959630768707243,0.7793932225340707,0.8741116086932571,0.8011538127263487,0.7682546838949534,0.6486084800063193,0.7334406929045978,0.6310672102359931,0.5925120578005357,0.6375950721355467,0.8226415989421793,0.6125508409695418,0.6295614097564827,0.6749147299469617,0.9850456597733415,1.6730503347220835,1.8154584340274,0.9014135276014256,1.6418490901888092,2.2463483444488657,1.1542641861803349,1.3798177075127065,0.9814970654264209,0.721337042845516,1.1020002224335734,0.7246439238975249,0.6704606222741135,0.73621465357369,0.824680314625102,1.1333796641077771,0.7551629088116778,0.7498040451012181,0.6535097386527857,0.7574591072619384,0.6558661133996772,0.6964626234070372,0.7481807733655926,0.6369185617931866,0.714761557885427,0.7299400050242921,0.8314998557983443,1.1933189299148215,0.8972025235735164,0.906151293253972,0.7235114556538533,1.183812182634187,0.6910715774528464,0.7562341178078547,0.685652121985681,0.7072544903806044,0.7171848654739617,0.7716634282303387,1.3664263408468678,0.8439580557075775,0.7279106958413936,0.6733587973131334,0.6429290275395347,0.8288097281433755,0.6460837658931031,0.8082006873852962,0.7156533588935375,0.838765960175638,0.7545353214885595,0.7909339310643299,0.7411026345724109,0.8329515747744684,0.7874016762360999,0.8758583749669553,0.9216367789738781,1.2670977838866642,0.9949151743491004,1.1059805450227331,0.9072659062301776,1.0363088775307072,0.9223100867015772,0.9792113076637734,0.9931613760671741,0.9174679535112483,0.9189506445460893,0.9599633053512862,0.8840637582061718,0.7825759770805305,0.753175252121455,0.6392845607522966,0.5891439950159278,0.5450420708011497,0.5880259075365224,0.5550433745352776,0.6499451926109586,0.5950941576711717,0.5394204588581524,0.5370267957208388,0.5744086302785754,0.538766859736235,0.5761399236678201,0.6425961217060927,0.8970903211188379,0.7202364217620548,0.7760776623637268,0.7938026130094056,0.7984870115691322,0.8597309623187486,0.7759154595594626,0.7978456276874252,0.7549573923162493,0.7720880019153329,0.8479319041568508,0.6520517297072993,0.6818630488415331,0.6563099506958915,0.8135896887551061,0.8205665283144431,0.6090282600386,0.5693551000416028,0.5586298148557534,0.5817420002734246,0.5738927760177399,0.6470885344070383,0.716886516699324,0.7672895849087522,0.9497212438705951,1.072837489068514,1.640684379629788,2.0228921231870154,1.5338588648006157,1.2292508742267745,0.94949712745651,1.0019079336919885,0.8016499774086416,0.8766335800623771,0.6938455007187417,0.6374232438659556,0.5833798123735912,0.593425664564023,0.7248801968800809,0.7782941017635294,0.7744180643912187,1.0430030528316052,1.0411614608827113,1.0061970028588105,0.7484061628152613,0.6419554429421579,0.7170149150330432,0.6710462380947985,0.7019107138967036,0.8373533240260675,0.8131091298935649,1.0437501304022754,0.767651177117863,0.9570185077247672,0.6872100022440875,0.7580663098855266,0.736528941373273,0.7517488540119313,0.7491166134381836,0.7315628050707318,0.6488279467607524,0.8176851821441237,1.9125551181820666,1.072976450887423,1.2248735429495545,0.9751669012272565,1.0779340071037853,1.1017476345899047,0.8978410450943428,0.8708387987230359,0.8516616065182164,0.8898747693951192,0.9226927254823899,0.9799185450775233,1.0289359440411925,1.159494617703637,1.0258974595464743,1.0235979653590324,1.1505859802869214,1.1514284376088437,1.0440565310110559,1.1382896331220667,1.3346495960700775,1.179579295376009,1.1780270729034936,1.3116005674363547,1.3997555830710466,1.207256817619182,1.2952568891090956,1.2538945010005904,1.5498814222078297,1.3928970826794174,1.254567947154594,1.2971506840706848,1.3105267169237291,1.7111413339009782,1.699057351038889,2.0774547383778654,1.2353453714232585,1.4131614482494277,1.623724098010151,1.4995260215454818,1.4857671550919338,1.1769740172766576,1.445734646175744,1.141063491246785,1.2573469584802806,1.0603674962888074,1.177422554046922,1.2625668965561079,1.1512145386125534,1.4663080359070224,1.0391437478577656,1.022114624106549,1.093172875704968,1.2729683914093999,1.397162373845357,1.8100978078365237,1.553824767537878,1.3454944703974319,1.531599997183823,1.7506207781912577,1.58832156238701,1.4414723218674348,1.7538636981083684,1.8600733911108103,1.5515731272586983,1.658745652379434,1.8547207219619455,1.8350830778046558,1.6053296089803872,1.7063705217794982,1.5043894573541479,1.5081827746012342,1.419242324678865,1.374336826970941,1.4254067250045919,1.2603582340986548,1.2071824479999917,1.2040795266122253,1.1727113337396582,1.0858130024181964,1.1445589274082628,1.2616371834805151,1.1365774499368502,1.1119550290724034,1.2170558062703323,1.4852275696292045,1.3815732708832988,1.310097263487889,1.55634441489466,1.7010043193403974,1.8840831398387368,1.4493420981048906,1.1904624626928881,1.0828579352164656,1.327239745774582,1.2800268294655095,1.397356614355948,1.2641221221555474,1.1137691248902815,0.9141017466303366,0.9040522005005219,0.8207415087165767,0.9231525823500077,0.9615095613122396,1.089289532749629,1.4347315932267213,0.9199562956833985,1.024943076520817,1.0974781719567441,1.126544419164333,0.9141815774920022,1.0526189586211736,1.1827127371159492,1.8346860253232578,2.8048438867614753,2.8805337549615952],[1.0993626050473426,1.0511701184404922,1.044156361075392,0.7575648282844927,0.8459841344125449,0.678841721165445,0.5925633781023886,0.7629343131833741,0.7132406190079609,0.7003768295565231,0.8437901864312876,0.9763864088552832,0.751227968257816,0.7707818064588189,0.9358648937688987,0.85412727642456,0.7316188888383761,0.7975607285545776,0.8311740958865165,0.7885856417745797,0.7411075952487799,0.7387829809452209,0.9926391752515429,0.992044516750539,0.9533497938058533,0.8447451818000468,0.7072231364864232,0.6790358868793545,0.7200391801700561,0.7462956017931326,0.9632223033883922,0.9264085006916308,1.1000666974129774,1.0743691741390202,0.9467812938345082,0.8117960711976399,0.7875845768229123,0.712205822157683,0.6409431062896737,0.607283458065417,0.7320793634714228,0.7632984743445241,0.7431773300963036,0.7646093723843618,0.9700897056065361,1.6880063406945134,1.8961093570113847,0.9736377654794687,1.7163416083516854,2.3907576300100453,1.2995424350481761,1.18122118240598,0.9808577789804998,0.7747179779379978,1.1940970068386492,0.8076630992168248,0.7929052464495568,0.8031190995706806,0.857482190908411,1.1487089281604306,0.7752367125012244,0.9732102500118758,0.9567405373791331,1.0694364067789939,0.8784721232748001,0.8756267671383438,1.048171928464636,0.9472695089552592,1.0243224709423593,1.052434672969288,1.1386533279922617,1.3631931178183883,1.2839063420853207,1.2348564996050384,1.0410820490001025,1.509544340673137,0.9599253104178108,1.0744584182550274,0.9109851481448626,0.8217726910462868,0.7889038531024906,0.7541366468721747,1.3222667890301887,0.7087388353099333,0.6731088305770273,0.6670636163479847,0.698639044047168,0.8479595991623017,0.8058084569977226,1.0551327424475303,1.0111668936540297,1.2074471344182631,1.1747285195642148,1.1674063272961135,1.0722988513616074,1.2484542590155139,1.1507196503370227,1.1070544485999914,1.0676743305254695,1.3217597223494584,1.0507511391180784,1.0765625364644604,0.873698677343816,0.8876795010657123,0.7718900817943722,0.8237023285112384,0.9125386804993462,0.8485593097141387,0.8720840094075131,0.8270567798588975,0.7588927963769427,0.6546701358841193,0.6413679100708309,0.6040118389946305,0.6095941144347615,0.6219023129680986,0.6623268875325492,0.6673712377888255,0.7983349010472345,0.7226946359244585,0.7279150716481915,0.7282680114918841,0.6656634567753352,0.6064219676141567,0.5987882197878224,0.656192970831475,0.849634694742122,0.6918959827692803,0.8034444562354942,0.7750572731846239,0.9615337565282602,0.9836797746365211,0.9474408542142554,0.8153360083417394,0.8929039968818113,0.8941045447121995,1.0337277002447172,0.8359206610433343,0.7190905880809486,0.7009224105789246,0.8721145974592329,0.8930048745101354,0.6465259417788548,0.6089009390938143,0.6010401960750519,0.6374734844638791,0.6028015072307751,0.6436433834449408,0.6533066760682503,0.709859509954337,0.8360984735835486,0.9959656982110697,1.5699005407799878,1.9553264524141165,1.5444772714750727,1.2193673221491572,0.9403481536633987,0.9124427389152356,0.7756772315399666,0.7636120711370258,0.617731880171131,0.6239014195702638,0.5998742226043159,0.5913625115769384,0.6970734446973451,0.9010541578497172,0.9474815194496884,1.2668922208412645,1.3290089288635902,1.2299898310294277,0.9550210313648884,0.771291576945033,0.7031440847642434,0.6604806188755615,0.6397485705814581,0.7263979095716679,0.7805781698788147,0.9513730492286877,0.6928982832891105,0.8126643270160275,0.8102682863215805,0.6775702897303187,0.7184394572259827,0.7871958407519072,0.808165811063684,0.7143402261013541,0.6637496350266424,0.9780364397253982,2.233520800074475,1.2169893001697023,1.4080795874117416,1.0356228182764657,1.3058403284339046,1.334385435221637,1.1659479877682257,1.166936531148114,1.14781611098825,1.2157709709940625,1.2726552131834827,1.1316651167173106,1.2142417926471973,1.1446962956470703,1.0509154912761223,1.2887863307143124,1.3177044879442452,1.1849423135242372,1.3426241564609362,1.4829576949438075,1.3895006394514338,1.3037445457305812,1.5568388253975218,1.6170245507510854,1.4625408309036263,1.5219913744345865,1.8273409062503634,1.9066663428000723,2.065274430074911,2.214844223848265,1.9094978530725288,1.8988871808914607,1.9510184987621226,2.037144847648006,2.6383393664068517,2.835832115463903,1.6586614658517913,1.6744228814694258,1.7205660547085297,1.6762473792355808,1.7732263739338483,1.4907957838971946,1.5529264908033698,1.6672167691120583,1.8896704564489826,1.4884712962061115,1.5117795271330803,1.929644084452035,1.7459137996918155,1.6190652611915282,1.3768994631698253,1.1966540340743927,1.2729180738077686,1.4032442197551778,1.3686478630872383,1.6742159777427692,1.350348294120993,1.258511723115158,1.4479349395011398,1.5532660917817533,1.3600707651666561,1.3278642768194084,1.5635923152258127,1.6360145185872097,1.4104202929562968,1.58824613173529,1.7280402788778986,1.7443619001794932,1.6197874628355702,1.7790338631869784,1.678899123734672,1.6338270925755594,1.4704307376396888,1.5703495590475165,1.7392361822515274,1.5586494495541319,1.5371444494600301,1.6931529992213725,1.7301265438122286,1.6036386133179972,1.7787000090144158,2.0281370551685325,1.905429787282426,1.8139017775050368,2.0992177699582073,2.4287532283318627,2.159612436375789,2.0538305173262525,2.419332003368124,2.5993565542806225,2.6323403279073565,2.2300048589802968,1.8543364401926,1.5808819200048634,1.9415383701601063,1.8731485378459796,2.0720956392666063,1.7946688167832705,1.6067276074853778,1.2505909022779484,1.1229805795183518,0.9288951573959034,0.9780373424177669,0.9104045277469991,1.0656353165333445,1.018169975104036,0.8077631739071068,1.009070386061974,1.0254352321573845,0.9054430005233117,0.8746519116557033,1.0694170080243617,1.2952202183730184,1.7412016359855187,2.9816502770172826,3.6534147834674746],[1.354629573679494,1.3203575418393583,1.3568587153947305,1.2587088525459513,1.3171230697775536,1.2042619847776226,1.1945763965004834,1.2606167461653375,1.1874158673278743,1.1769391133279163,1.2244875735912857,1.3158368177017088,1.1945754031219245,1.1476518812158312,1.2029075370601725,1.2044686386668797,1.1626494475887168,1.1628480082414643,1.1596345838737365,1.1711887447837563,1.1347423908774135,1.121424266765616,1.2906176632101485,1.3084106140008944,1.279137365752208,1.1977341842238922,1.159346865938372,1.1497688406239808,1.1640432283055921,1.168661070052661,1.221541644435901,1.252109279045763,1.3266773157310314,1.32947524234131,1.2815124495464707,1.1799257519199915,1.2258007858760982,1.1965086182902314,1.1860926176382889,1.1767120341873218,1.1991296114152157,1.2149951035386723,1.2033731478320993,1.197287840378956,1.2746900619411756,1.9122301352045485,2.065588207581723,1.3882574788972162,2.0296891758973654,2.743468546974468,1.72050401002644,1.5819528134295295,1.4274480250108057,1.2597809830236097,1.5722864332720645,1.2872573876206619,1.2419176753285215,1.2217020767809532,1.2669484024961428,1.4962812579629052,1.1999350575973078,1.3527014800750101,1.2954365165762949,1.304397374250894,1.2095598086862944,1.2377273526642143,1.2956608981851585,1.2438148613695732,1.2828536704511309,1.27578668848215,1.3844851553222364,1.551506631496167,1.4291433022836544,1.4226828244838288,1.2460647194717571,1.5890641522604076,1.2397617074044553,1.3000062291943155,1.2502065924696,1.2191946511383729,1.2094974029834593,1.240855185785407,1.633114544173381,1.2077954462575395,1.188386605411526,1.1961464426058879,1.194852647613415,1.2995004250004678,1.1887899154057295,1.3407684334293821,1.2891028662778503,1.329689619443669,1.313144158583503,1.3173503201235406,1.264130951628497,1.3488412662073757,1.3394821549489262,1.329658296352358,1.3162465374775096,1.4843198531076016,1.3556740566603258,1.4622580357866206,1.3468783284625208,1.3460044829270845,1.2534741197596961,1.30358982254511,1.3437099007508186,1.2864211084555608,1.3004810077205686,1.2943296973513283,1.264149041894793,1.2401580155426115,1.2244407758744205,1.1826260382594407,1.1687483755067871,1.159384596730104,1.1362909322093948,1.1220810627717885,1.1611798750053424,1.1367406525883417,1.1363521298648116,1.1453820290942582,1.1288518702186852,1.1435262755975504,1.1587658870117097,1.195482684160328,1.3058731770655514,1.240287032706898,1.2905585036037865,1.2664336151428188,1.3509792168301313,1.3675070826593003,1.354027987279116,1.310670685630798,1.341968577800919,1.3500547529398201,1.4464004635198173,1.3086394785964717,1.1664831901331512,1.1627945386443284,1.1814170043806318,1.1755540669824363,1.1270591709256947,1.1455544445945671,1.1710362600834527,1.1795336100930247,1.170801421667117,1.1922272581160818,1.2163592050617136,1.227174245606845,1.3426312756151906,1.3882703371980716,1.8630361234246844,2.0448860569833207,1.6809085905455392,1.501461241739801,1.3198650335141175,1.3491959313638795,1.2587849304495988,1.3078988879357627,1.1979204798942238,1.196166096893552,1.1812144047290611,1.1863807726921105,1.2249522664703067,1.3035844540592985,1.3574194092246905,1.5422573864751812,1.6014782403912562,1.530903037925744,1.361616573760181,1.2842830654691055,1.2488344893765264,1.2407872516355107,1.2254862526642767,1.229932017983268,1.2777963174503246,1.383888445326819,1.2218939936354671,1.2776340061658662,1.3317414607169735,1.2431774897569061,1.25477286810123,1.3023547226530618,1.3084748846480008,1.2369430437374251,1.2229309647193545,1.4287612362270583,2.602385354278631,1.4907018295255414,1.558487807395392,1.321542488908017,1.5300484717344847,1.5787865725879355,1.4921348357372872,1.4408573406527088,1.430801984703583,1.4471753947633017,1.4645691442335893,1.3918440111818533,1.352724825117586,1.344111382130108,1.3140639170866342,1.4259009024051825,1.3866399977267168,1.337037747203216,1.4649838214007387,1.511067058898341,1.405140909853127,1.3850000567369767,1.573754223248998,1.5441657191719367,1.448085164721346,1.583530844067739,1.776935466403304,1.878429260511076,1.926985800746078,2.1074060183756043,1.8408976145386247,1.7755448521315746,1.8053465323815827,1.9513658173179973,2.45045181730965,2.6476528510741986,1.6189119865206796,1.6165807861505523,1.6474842232095204,1.599986632261053,1.61793787199713,1.48487172415501,1.4988434290539334,1.6937770839222837,1.9830463466962833,1.5532736533391616,1.5444753472093964,1.9675406821892232,1.7438688053417748,1.6589081542983144,1.4668518148767473,1.4110332311224638,1.3980314522118773,1.457594534770027,1.4924888752253045,1.6942842610540596,1.5248801270825907,1.4247052054918863,1.5089707464363062,1.670757993183805,1.5284676628521214,1.4315892372382761,1.628252192609966,1.723225659638569,1.4815438982904026,1.570286646368286,1.7006165390650676,1.7422343626900705,1.537889909376047,1.6626657842800456,1.5772536234920889,1.551444184508725,1.4714582377638203,1.5142978659368256,1.6151081419390512,1.524440158247862,1.5198928470326236,1.6169878156729038,1.661475522017303,1.593772923929795,1.7195689088813433,1.9358534942946206,1.8593907466682926,1.8031394313126092,2.0416542682943404,2.374656960946219,2.0927210774335787,2.0218866879970454,2.2827597913327264,2.487787093886336,2.590025875082498,2.223329011064294,1.8703612978549589,1.68172200960815,2.0321187761698454,1.9587545618157511,2.0929278361726813,1.8522375848988324,1.6552733588858641,1.4852093460957865,1.3913672029482955,1.3258960958987356,1.342941479514807,1.2913486719147669,1.2961170647866564,1.3865521553140447,1.247215735808646,1.281785402569282,1.3178660691319037,1.3592947137775142,1.216367579525272,1.2798591387859806,1.7571807498126562,1.643041251459301,2.889619385973573,3.9253115951238517],[1.0041686921768525,0.9751655719057848,0.9697887631396821,0.8234190056587742,0.8830907399399818,0.8158757651275476,0.7935122624461137,0.9148056845866429,0.8098947027679682,0.7328325030722481,0.7825326622919415,0.9321527300858293,0.7865057810200589,0.7150632338332826,0.8064564932957895,0.7857390132899542,0.7452747168966579,0.6952910058175054,0.6874502041316768,0.7136655431664959,0.6701860298497438,0.6933539989818505,0.8501029052229717,0.9557295883755033,0.9369808494349638,0.7996216949508973,0.697536787343299,0.6759397607636468,0.7061691453954182,0.7483246747880955,0.7828526281107704,0.8856944870169352,0.9717600782699052,0.9268845049783492,0.8742171657089821,0.7446826222058763,0.8316886338179317,0.7554107436953925,0.7190413986826798,0.7218621231515918,0.8084357245179614,0.7352535175940176,0.7451033054210014,0.7599861573832867,0.9584371124196623,1.645320642323495,1.8899982551336687,0.9759483816272975,1.6699082752553769,2.46859335375531,1.365970625836029,1.3079012122177147,0.9993674682110854,0.8517846211122209,1.205314517577012,0.8427106588738887,0.8046844654028925,0.7948023189334376,0.8689726839216226,1.1942281880279142,0.7621022142277264,0.8702271571293281,0.8228202089774221,0.8239661404111943,0.7668610416938267,0.8009005054552627,0.8616509661151277,0.7821085238237783,0.810467404664215,0.849496518416761,0.9121415052231318,1.201608170296917,1.0438862734518541,1.0071689768347065,0.8077517950102222,1.2549597278587425,0.8031572434666774,0.878084221278504,0.8206595862002983,0.8118273663023927,0.8013604114369793,0.7977581210125461,1.2995629880425659,0.8265759582282902,0.7698624306771962,0.7540264938723248,0.735291309057272,0.9131324553692295,0.7684228991131622,0.9320326725481619,0.8451809821155879,0.9207288712943273,0.8847773754952785,0.8979757036376125,0.8512307298835153,0.9285157133949121,0.9042892867428246,0.9754105061543492,0.9955474864418445,1.2417866862397737,1.0671902952074128,1.2186020112329956,1.0113947291922605,1.057512948931944,0.9635322042736028,0.9887023260314592,1.0917340266670104,0.9632535893084307,0.9702888347445274,0.9946085145154514,0.9413279757780144,0.8626653352666122,0.8184899038035421,0.7313339703884716,0.702189237136328,0.6794238016661782,0.6685029798838263,0.6778440954589278,0.7519066073980698,0.6875566706946437,0.6968652061763767,0.6906037161125421,0.6729683662468455,0.6617123331259637,0.6921587762897591,0.7450369093272469,0.9274954026196381,0.8061675113115455,0.848154508951912,0.8469145645931521,0.9191456098135277,0.9686877943964994,0.9151919533451238,0.9144417255827991,0.8661868859281951,0.8912621953543107,0.9615160622155607,0.8378735804303817,0.7074363133340408,0.7193280976352471,0.8331601065314616,0.8881209366861282,0.7083478540250313,0.6672367642145272,0.6839511844805557,0.7269102604769542,0.7052471469070398,0.7649124676255373,0.8233844809369764,0.8529732560239691,1.0192382492008052,1.1016848514962734,1.6609521709524142,1.8886294325730402,1.4711156076692404,1.2431963284155216,1.0026357936372907,1.0469681224994722,0.8940812586507686,0.9354829840366955,0.7836494500409334,0.7598349186578205,0.6967448424282101,0.712498517642148,0.7730907590125333,0.9022744125517027,0.9000698693539846,1.182484497907053,1.2202463163271806,1.1492815991674534,0.8949293215232373,0.7986490189392629,0.7827072113992709,0.7844286949200993,0.797467543337612,0.8884807734213407,0.9198157600212511,1.05390837636447,0.8515835509751167,0.9477906496368884,0.9445123361463946,0.8361186534521928,0.8332719641171753,0.8780701422532473,0.8623242962033235,0.8275929278461456,0.810231902423529,1.0309966158751107,2.3335057300163062,1.1871462764124934,1.2899760127051827,0.9607095988076221,1.1417363588558456,1.1825990839618967,1.0764726112194123,1.028212898321051,1.0070202810205613,1.0548173697704701,1.0721141049198673,1.0125959327523162,1.0397659444258134,1.1167772515862073,1.0103636531326838,1.0439077932172973,1.1091154064052446,1.0926444581427766,1.0518189467224717,1.126387388238767,1.258695550304128,1.0965960016815093,1.1529197646186824,1.2824855850053307,1.3668033731449136,1.1411562009756748,1.2883505472790029,1.323787520990069,1.525518037802872,1.5865052999030649,1.3511122183902797,1.3563163163559486,1.4109672234269837,1.747101109703915,2.0404042262138127,2.1597217104315187,1.3069936269861064,1.3713071930120997,1.485391726888684,1.4180041670143313,1.4321629432637748,1.1916541408312973,1.4031709954275389,1.3338944213954904,1.5499078492063458,1.240466546719805,1.2395882652794958,1.6420179138764712,1.3480316340742953,1.3623447940271993,1.1097020329843066,1.0569026299089774,1.1245666075999692,1.2328973525490172,1.3375633954225066,1.6240596039246422,1.4285601807682078,1.2828094748730035,1.4412392298423087,1.6605662697844497,1.4485508816293002,1.3563633891551148,1.6698616125034904,1.8026116572788617,1.4786753585201715,1.5998058185765234,1.830933434289829,1.8808847704650806,1.5622141924412993,1.6870242682032088,1.4532978019162044,1.4481271072129909,1.3529548926488564,1.334367409227383,1.3983741207680944,1.2371336288674513,1.223610596665067,1.2761099562643168,1.2711293383125732,1.1935988409635199,1.318807726755304,1.5279714852558006,1.3830610539877246,1.3641790518830959,1.589863951643771,1.9063088034291695,1.6583444746439657,1.5502062673408032,1.8920946104165475,2.046351867167782,2.165210198608426,1.6874775830442033,1.345423517581352,1.1551044446180636,1.491484861990078,1.4584163604021836,1.6345447758175724,1.439230894052147,1.2214827414521607,1.0355364105848817,0.9770122293589483,0.8949680044762776,0.9983904960366236,0.9951587567235831,1.0421807803106917,1.3820698053846883,0.9512560152710451,1.002761830806738,1.1422260096243766,1.1560599481589788,0.9076442945866595,1.106941402306861,1.9049194373255436,1.4492322268448912,2.5341431610299376,4.1036627517880655],[1.360922486714574,1.303650935959644,1.262846383120228,1.0736952885251534,1.1175471689854568,1.1919905129295623,1.181288973194259,1.331396884670871,1.2158843982989322,1.1156787917077646,1.1747091694676535,1.3404021429198063,1.1732989874395534,1.063788394967925,1.1612436654834541,1.1718635646939022,1.0495646744102756,1.0313748938894032,0.9723062363657181,1.0367820092901665,0.9670388606040893,0.9737145134502023,1.1161671482496172,1.111195520863112,1.186594932019572,1.0336972975224894,1.0099570122045252,1.0094971859399893,1.0639024772965275,1.1186688482337823,1.1468042404944467,1.2609558118545763,1.355573250507504,1.30540150570854,1.2314930518920975,1.1096523126325624,1.2060238091412736,1.1009281847932946,1.0372235107491068,1.0743416487288107,1.092656686068252,1.0607344328757413,1.0840095775153242,1.049187512154685,1.1827028825179318,1.745663232366721,2.012911826815606,1.231263665986329,1.7930980622799637,2.571975752944927,1.5221748582073897,1.5445011130790594,1.2143409556084537,1.0942866637455027,1.4581740367603462,1.1687223320862339,1.1586405591974325,1.1484222651303073,1.2023396910822253,1.4648000624243558,1.0768068190457982,1.1595485442992564,1.1626967695506372,1.0989810265034836,1.0530249893862025,1.1040864539432387,1.1082488549802698,1.0800933291723422,1.070259389848684,1.1337034436420128,1.1788884512526037,1.4136588299849022,1.2429729499259972,1.2362976386209374,1.1048345080571473,1.41139392469042,1.1318907284308275,1.2095087352101588,1.1683983597466114,1.1454876882271878,1.1494081198621147,1.1751065648568741,1.521843278557661,1.190177648335881,1.0944222269494377,1.1326268070317291,1.120996982229923,1.256670012063154,1.107109448117902,1.2865508880519096,1.1919230935658118,1.2248248112720774,1.2348417071298228,1.2650752455305883,1.221445006602481,1.282306611526534,1.2495023252574187,1.3624220107134788,1.3881622353319198,1.569327858858036,1.4661734654307899,1.6082313142704034,1.4148015671833019,1.4410841854124297,1.3471118555833577,1.3393492983280817,1.4214729426486634,1.3028718402567254,1.3006017057268717,1.3554230969606607,1.2993909936897639,1.2378586635989839,1.201273787534656,1.06036856062205,1.0346090544670412,0.9618282966678083,1.0268496407689407,0.892474989762857,0.9439388958186892,0.9300276821175142,0.9243460893396321,0.9670730173120825,0.8800886111227267,0.9260972421263466,1.0072040146979173,0.9928162866241014,1.1722686629481465,1.0964368644495552,1.1319241845366903,1.1482602387178467,1.1444446912773623,1.2194700950893236,1.1339114358328366,1.188703131883383,1.0715481906038118,1.080704571683792,1.1128505941864009,1.0404341940464399,0.8663943636385175,0.8930983223427581,0.8847893126990944,0.9435539306241391,0.8341028685271337,0.8816551124500552,0.948544660061625,1.0470856025667314,1.0252413480143006,1.1380248336544698,1.2053441471167172,1.2493932901885965,1.434172157752514,1.530437719746154,2.050966694900195,2.20016213307245,1.8251354301512634,1.642234369918222,1.4110180430624086,1.4515182754624247,1.3008847554929697,1.303578646221936,1.1351217591551768,1.1118523334350365,0.9745444694285544,1.022338415175926,1.0209075825356095,0.9838211169597575,1.0210262677060484,1.1663075092605284,1.2156498788908892,1.1397590769360046,1.0229997327926688,1.0031022287039681,1.0511064326721933,1.0822617126136256,1.1426393959966046,1.2573719127412013,1.278013687470917,1.4051537494608164,1.2179245070201272,1.3125983605958822,1.197913744977103,1.1819320247765028,1.145191125851199,1.1464114007713788,1.1094274350195787,1.0790517109963091,1.0859067283606685,1.170275430925232,2.4471424470052767,1.31394276563497,1.3558020757678804,1.1406853249040265,1.26941858975045,1.3074449205411036,1.2194661351500578,1.2152310353314848,1.1884922356967018,1.2408118571675788,1.2486153859407483,1.2733138916485278,1.3186601720136557,1.4490861635999654,1.3353568044501976,1.2922002625691091,1.4115679315092864,1.446630679600531,1.2573826452188677,1.3643613816415232,1.6138901495385238,1.4467140010856205,1.3843213000158305,1.590063552709439,1.794660157559975,1.4426402862711032,1.4933653642261147,1.4206249854081658,1.7039312587155293,1.6205456373111449,1.4758635427730915,1.5212722335628084,1.5413886948965223,1.9147863819869884,2.110011956811021,2.1567416352838635,1.5473496900588268,1.60882820827491,1.6990514340208245,1.6179265738856714,1.6387713920937832,1.40286796144173,1.5808601314306705,1.5326380198399876,1.6733623694897697,1.3809259015473139,1.3837432167790136,1.777872752537299,1.4571554252463086,1.4823457278555934,1.29981680576929,1.3279105668109246,1.3829612853079505,1.4893747149127352,1.6380868092326308,1.8502633152559245,1.7844674769392037,1.6123745038588897,1.7690354158430486,2.0024271529567814,1.7949254230438356,1.718410330616566,2.032457575046234,2.1812453084274943,1.8739115532756434,1.9661697171317627,2.2167284811180568,2.2901899244342507,1.9473635789652548,2.0316109287284774,1.7639110544986636,1.7564237952810755,1.6771223920462406,1.610278544332247,1.6341508937255753,1.4989275223281124,1.480923954756769,1.4747065934733383,1.4493644139767605,1.3702927631334758,1.462795337866406,1.6217971681693155,1.458393972882458,1.4435678922131192,1.6413940545026762,1.895218153753489,1.6766852736464182,1.5628941983526259,1.9343184782036846,2.04802581186587,2.1502381730395963,1.6456207079348908,1.3774202099190282,1.2569042417888112,1.4406327905550345,1.4452156751366985,1.6174961962277716,1.4652170868429364,1.318861252619151,1.2004935320199868,1.1880000950515588,1.1399117176698332,1.3191715346625335,1.3641032862327254,1.4101523107176204,1.8425962774643714,1.3488265240450648,1.405785485737377,1.5714636808648756,1.5553885130383192,1.3137911223663696,1.5725090255150012,2.53723374684868,1.7692771480244567,2.6076130718614783,4.632007113026311],[1.3312064345827936,1.175505491760113,1.0983079917487975,0.8927773173563757,0.965176541428318,1.0692486616134629,0.9776577562112149,1.0983928991400156,1.0269525343397383,0.9188920492356304,0.9405826168661191,1.0626332949787112,0.9458630952918221,0.8632141835699523,0.9050474336165509,0.9314085130945802,0.9036658336429122,0.8130513100268214,0.7862085087837984,0.8061654919711038,0.8491759376292644,0.9243693225567715,0.874031601777538,1.1398599841489911,0.9699657679941525,0.8680426882590204,0.8140516330739735,0.7981609489585464,0.8313612463376207,0.9232553464995805,0.9008170726112317,1.0230506983318046,1.086779218986489,1.0216996233547242,0.9634635260794004,0.8833990340664511,0.9793468485136578,0.8710529634112143,0.8525432356921693,0.8661334839569611,0.9532338038732284,0.8367417329446992,0.8898405227889138,0.8902954008742097,1.0532994047663946,1.569214846710305,1.8272650447011467,1.0580294282551175,1.5516150409580756,2.2976887068276644,1.2948838023971911,1.3347721828629995,1.1450404385731576,1.0103565661255522,1.2173726872934492,0.9663794852243371,0.9505001785431433,0.943498735848278,0.9892693725903483,1.3578914338876218,0.9092044625407585,0.8739307808102206,0.8721006997818109,0.8538043734479891,0.8267447549910237,0.82974131192593,0.8645356085332148,0.8006139568438123,0.8645543736100393,0.8631543526399459,0.9576703782599456,1.2844335307764883,0.9744029026261689,0.985760320335084,0.8468464550253004,1.1328722850240591,0.8437103245539462,0.9164885812551606,0.9095125086257438,0.9108388453311028,0.9673313028089123,0.9564567854815756,1.3470288073915824,1.0431027961941366,0.9866561839493722,0.9354705250876574,0.9257313677516195,1.0589390599580595,0.8740511816074087,1.0047397418563635,0.8974584006019181,0.9241560975792631,0.8915306440048942,0.979252659173397,0.9508716970785381,0.9844638750109965,0.9726801667545143,1.048901184774277,1.0698763700500038,1.282048282102747,1.12446769044358,1.2096195229659141,1.094948616598944,1.1329472613794407,1.123374399738051,1.1407652683311036,1.2315857849360636,1.1125005872621938,1.1041388208859886,1.1490608386112264,1.1040731335101686,1.0369403906831967,0.971537588606602,0.9132308032924685,0.8485114623780641,0.8142687011243449,0.8060884394638811,0.7841357016205664,0.8427563955924082,0.8046776943883753,0.7843724788948099,0.7621525044679484,0.8053056261180023,0.7998737173728471,0.8564041453911332,0.9020843694134012,1.1224639571341488,0.9519743779917716,1.0353172972216445,1.0449070555916933,1.0696249652802,1.1406828019022615,1.0646044250865752,1.0535251275121793,1.0175693096828666,1.0317467438287506,0.9922336192070398,0.9142116913238884,0.8500101399108966,0.8651875791518254,0.9328299885349658,1.0069787854235202,0.8491366308259574,0.8277865149064689,0.8392266148366789,0.8616110097141926,0.8565956827987052,0.9295440642819146,0.9690757466430107,0.9958351248823527,1.1123878375493865,1.1581139073385813,1.4947977744281369,1.8374666358587044,1.4319856573580867,1.2124733033041597,1.0852701089381933,1.1475747360717854,1.043147860151046,0.9806072844733666,0.9501869485004181,0.9063384591488979,0.8753046625565996,0.8938414275107336,0.911338526518741,0.9780872298268019,0.9942912084358524,1.2016499570007049,1.2209872109495985,1.173120061913471,0.9757671649299882,0.8879286544811185,0.9434279659819715,0.9341060861097179,0.9502158267698402,1.041292794323139,1.0562074817826095,1.2139285575124519,1.0004177269500043,1.1317145218693745,1.0655178104309893,1.0056815422234866,1.0178778697023434,1.0582803361648323,1.0352958093722346,1.0208436963242877,0.9147233329524952,1.1091868002753713,2.141039349684544,1.3531310994147756,1.5725198473281237,1.200227394886092,1.338889274532757,1.3354951932526444,1.1844870953244824,1.1695502929007822,1.139343995847867,1.1676773892487817,1.176107188391518,1.17940614616678,1.2032212255393913,1.2534595755656128,1.1615691019303347,1.1971390171283114,1.2905260016513354,1.2812125636015819,1.1967319692074525,1.2832769915742164,1.4359185999647526,1.3111673817543372,1.3227588027785555,1.4843375773212855,1.5632096951612806,1.3138272265076842,1.4598369484155265,1.404035559005306,1.674102415814089,1.5321698661830232,1.409168577609529,1.4557131932832916,1.4852804751651436,1.7865303337584661,2.060025652082851,2.2807809636263476,1.4181473352981102,1.5082912857491841,1.6593863240772395,1.569882474370802,1.6168628772424056,1.3543104910858597,1.5763420931768248,1.4311242576227574,1.5840666928361964,1.3552332357263726,1.333060698121397,1.6487578632891886,1.3932340701799844,1.4810314236302868,1.2402674764002202,1.2401618305787292,1.266152505390089,1.385651267216642,1.469469897923502,1.689784427422319,1.52040646988211,1.4080738681908036,1.54714516268536,1.702951534712493,1.5556388901490785,1.499501760867549,1.73386870055778,1.8460302001427125,1.6135724854885833,1.7155414204064405,1.8895455686226152,1.9581050017231314,1.7268864169152502,1.802312615996141,1.6104297051793608,1.5848111444920252,1.4913906130641073,1.4745486140507158,1.536198206023733,1.3866553396218475,1.3796593223960416,1.3672820866757747,1.3577179064746472,1.2823045404936158,1.3728757948695145,1.5125199417085933,1.3865216138688365,1.3807367574571174,1.5436137053654186,1.80315144239868,1.6233364043810392,1.5243035508058722,1.7994085273466827,1.8910044486666588,2.010543060718519,1.5535739039843455,1.3387974715009092,1.2006431437741738,1.3840512410373105,1.3881507456118969,1.550250350967819,1.3837189788527409,1.277180520767168,1.1240088277422682,1.1172913630731176,1.0486906634068545,1.0924777492400888,1.183941553464607,1.3003399793847485,1.352850151150602,1.164743772839238,1.2503531606216263,1.3862980703797303,1.2226519449593585,1.1794613970100059,1.4523199204303279,1.8502116075699484,1.6975043980979683,2.684859908141555,4.490586496224696],[1.305527551345805,1.1854251759705994,1.1306594857199244,0.9173841381565259,0.995634742098417,1.051965446562085,0.9621952750846952,1.034639721484103,0.9637992903705803,0.8656519886643957,0.8640810296527602,0.9737766917133198,0.8890007228557927,0.8082455531463111,0.8490180176502384,0.8733410959005173,0.8543420772166144,0.7884837822149243,0.7786985019490595,0.7865145365477872,0.8720665779142082,0.9691839320046367,0.891780560862113,1.1886340273814755,1.0058456136681764,0.9246399765263807,0.8331600056306668,0.8014957134370168,0.8077634413887032,0.8608822792364641,0.8384826239573413,0.9259747504040604,0.9616489979401801,0.8941242774675516,0.8818332178904369,0.8104405675637941,0.9103077342958745,0.8194448598089019,0.8516396795427313,0.8907466515680045,0.9888686727916396,0.860108243002615,0.9049508755048783,0.9577124186591706,1.143445404982499,1.536665361770235,1.81010308507914,1.0881256850442014,1.4282919599850719,2.18199400437576,1.2640885553140049,1.4556544401896643,1.119024109585008,1.0270969425305796,1.0709756102754764,0.9318391927822007,1.005598093009288,0.9372071790696824,0.9802792735262402,1.464059056772337,0.9942867891556352,0.8714293799488712,0.8229279161794777,0.8345149646090927,0.8609808826784499,0.8434794734050503,0.8452276722938181,0.7591991378726233,0.8545804423651273,0.8409353159500282,0.9337257161623101,1.2469725913156955,0.9487978578430281,0.9634173683834764,0.7938603602510302,1.1219325321153581,0.7759034883547519,0.8372706038815109,0.8267560860901055,0.9172409038851042,0.9324738035859411,0.9326137350367607,1.3058759989206916,1.0679093268203104,1.03067182270111,0.9330483068195882,0.9000209821813531,0.9922382170800323,0.8228916355894658,0.8912136873315305,0.8054799902102536,0.9295533946879234,0.853302189309202,0.8854995631884326,0.8670140786621178,0.9011312294802886,0.8934203444721552,0.9275532928854554,0.9570678547142198,1.1436532844511484,0.9979391470300059,1.1410871644207419,1.021625025041834,1.0935487708222535,1.1895768496858015,1.1842895440576742,1.2704824153142515,1.1660342885321806,1.1550025698101904,1.1932670897011612,1.1544415626748403,1.0558972856319946,0.9477949270974376,0.9102768383768306,0.8294756469950881,0.8221957523874197,0.8354416605866936,0.8174520826358963,0.830497533545904,0.8344678231686748,0.8064341037807397,0.7843923694331562,0.8289875249093415,0.8069835031624595,0.8584474009260333,0.919236697027122,1.0983793116579699,0.9931215960942968,1.0917664954267206,1.0962672841974905,1.126726936822521,1.178356805405661,1.127050222075091,1.0949851020395642,1.085527064654936,1.1335200412370359,1.0840438410465159,0.9596258531882785,0.9336298517053125,0.9454381248801871,1.0011031921658142,1.116407184291251,0.9051552013607561,0.8801389039731677,0.8749541665462702,0.8539334369279461,0.8531163726779183,0.8935539813158618,0.934570854865892,0.9554750752080426,1.0465210486705827,1.059273685273834,1.3715355342197795,1.6894562366677737,1.276422555838355,1.094616454271828,0.9897293292889469,1.070871193198298,0.976746746905289,0.9813426444512008,0.9543388426749547,0.889218506046067,0.9181762235193418,0.9204959264024828,0.9955211746982792,1.1012169324602958,1.1279044204659248,1.3598237338609194,1.3584486987288928,1.304283577744848,1.07801050023698,0.9599877224488284,1.0138255183568756,0.9605600383143387,0.9489228921277549,1.0380436885935005,1.0340776965270568,1.2007840278595037,1.0031837667103622,1.1378615158371983,1.071233753626843,1.0348255642506874,1.057526006063502,1.1248876887814327,1.1079280778668146,1.102314081882711,0.9550534683071753,1.1275477030096424,2.0211673335932843,1.3981381605381142,1.6465711339552733,1.3038097159056476,1.419159705958186,1.4177804906588056,1.2585042054964073,1.2267412272853977,1.2056859822863952,1.2317235341975796,1.2531774378247613,1.230470692643569,1.2877871815934747,1.2938907889190645,1.2045955493136975,1.2860038166115224,1.3819938600125037,1.3582614456716229,1.2721743564878396,1.3973008023230802,1.5427783359085292,1.4203389924107657,1.458840645572677,1.6380689964778434,1.7087488880832367,1.4836251014485653,1.6578618371925145,1.5123525662429613,1.8227876695765677,1.6225810710378064,1.5544660706015663,1.6050037648692153,1.6235202423227142,1.9383310226620298,2.0485309040845516,2.1766617168526143,1.5228924788045866,1.588252008283875,1.7718369802862446,1.6876350039396941,1.7768781915001883,1.485920279200644,1.6864013330511387,1.5093838384953453,1.597985861380371,1.459460454715446,1.4930849334184135,1.776361822024027,1.5328104129016615,1.6397138031273228,1.3729625322990902,1.3156788392221854,1.3139513447153548,1.4137433228391516,1.479024191284107,1.701129799765841,1.5456498634841036,1.4380374361075943,1.5826641154838934,1.705060045084598,1.557692201264882,1.5573889004128585,1.78024642489079,1.8864039337833043,1.686854837535027,1.78684540244859,1.9609870351034504,2.0441113775077873,1.8500955256710951,1.8970553466370526,1.723170883604217,1.670955201925164,1.5718078780080413,1.550819871097493,1.6328021596722684,1.4925702578611,1.4695391896237828,1.5039277109306384,1.4915208320875073,1.4082187399683086,1.4949153765970915,1.6230328464973414,1.491252679357586,1.4978222564094283,1.6506777975599805,1.847972453148796,1.7255610859787227,1.6146521822575353,1.901925979546546,1.968262541041824,2.076770068746987,1.6305306023874202,1.4164813437576038,1.2875552205226208,1.429557155785701,1.4595466373480535,1.6443180970276103,1.467111977234995,1.3646270462185508,1.1883444430807166,1.1834169887365384,1.0987771268179471,1.127198565866173,1.2174941741308407,1.3202640498510623,1.4342392799382575,1.2166422793383318,1.299213617270095,1.3424567251434811,1.1985277850453515,1.1602715727898836,1.5352803738129677,2.0391615133295,1.7253063973080676,2.6794447594453126,4.99047928883317],[1.0597971306624951,0.9729556481571221,0.9952167147585462,0.8523304352002434,0.9338519184881282,0.935835330191205,0.8643225377884631,0.8730480207495094,0.8311928667190814,0.7766689470185041,0.7542638557693035,0.8335622350644452,0.7889338408221936,0.7440113064823638,0.7604363289043413,0.7885865932836398,0.7994475858624683,0.7596705976690682,0.7807289476074539,0.7715684679668051,0.8448196114836172,0.9376328567514244,0.8857443707188165,1.182955443599811,0.9946489532900875,0.9207159144221317,0.8077879450969581,0.7733640232917336,0.7766737515934858,0.7824374902721627,0.7572985413255842,0.8411096173215228,0.8392888609918794,0.8041328100883425,0.7996945446895557,0.7640774342124442,0.8497062841554379,0.7942215978661913,0.8179019537384593,0.8610987864023953,0.9854638703036511,0.8219797452582236,0.8699407082987217,0.9222218308637307,1.173853760644726,1.6052164961983804,1.9266092228375453,1.1753516385523044,1.4968502394053027,2.2571746768773884,1.3427512906168668,1.4227321619776665,1.0696774716348036,1.0101784773824862,1.0158940007043877,0.886617636403634,0.9754178375556619,0.8911724112467322,0.9448587153163841,1.4425391437166326,0.9806341350686284,0.872238814265167,0.8131443628754362,0.8536869119492185,0.8450091819973818,0.8306182111570132,0.8130237244531321,0.7339090393695069,0.8400564330232493,0.8048024086298614,0.8841122892523314,1.2071245411463534,0.9045428063152225,0.9654989289016263,0.7360715038512686,1.158329768554007,0.7388152058818916,0.7412656980451198,0.7848655202228,0.8690986112612193,0.8829222413029745,0.8730018883904594,1.1386876078273402,1.0216271132362638,1.0291226454503641,0.8926010964825076,0.8563055801388711,0.9341501861791309,0.7838592389980068,0.824964850524884,0.7539797544678577,0.8935969847923116,0.7879559830418869,0.778689830343066,0.770375289890405,0.8032660036230684,0.8127397218780708,0.7906391934155618,0.7973046469792178,0.9973175002886714,0.8516101047533117,0.9811052561141534,0.8850500426448409,0.922004921831697,1.0756229990707595,1.0529490235299621,1.1500548640569825,1.0423145005285719,1.018414856120761,1.0755895696911548,1.022727087665508,0.9445691721011467,0.8477453147847929,0.8523123176037486,0.7758822457799895,0.7978334943004542,0.8016261347049756,0.8233668010234055,0.8623715704674566,0.8186527695841197,0.8131082196667271,0.7645857165795873,0.8311730756915526,0.7822244144793449,0.8020142348386005,0.8917198288918361,1.056858272475772,0.9545748615200316,1.0446525492558913,1.0326846382195667,1.1102631176334148,1.1580722174136384,1.1228816093652165,1.0485001728444947,1.0863207406533906,1.1396570132422514,1.105748788424119,0.97879941075913,0.9141637828123466,0.9276779353826473,0.9830289466465879,1.1162858039527133,0.9091057326432346,0.8635457274841561,0.8590678123975358,0.8162646552765751,0.8149587653787913,0.8209839150177887,0.8371955375023616,0.8365727203683362,0.8880428079359757,0.8834613243203593,1.1746527112385734,1.567298795076459,1.1635821177862962,0.9223626888230785,0.8324132311090272,0.8998394235017858,0.8573272471951771,0.8828058354427403,0.8974633998229785,0.8445940491852081,0.8962221868121543,0.9026957959130368,0.989127727195973,1.0954670954682573,1.142596747870682,1.399990459910521,1.396826117762588,1.3338695490562156,1.0996932748896986,0.968290997874663,1.000981111923872,0.9416745709485117,0.9024609906331438,0.9290957563304753,0.9139506356523909,1.0307366317715383,0.9163178101656222,1.007947512890631,1.072632129852779,0.9657583726144312,1.0305190569928404,1.1212564228970363,1.100369382650443,1.090138530522333,0.965280530086248,1.1830728518177351,2.1216334743521883,1.4720151902648424,1.7149933416532717,1.3395055095328445,1.4593996809695113,1.4442118029473916,1.2801150993707673,1.2144009495791797,1.1972566090404984,1.221968438075977,1.2040870000721602,1.162154675987037,1.1404187321523103,1.1036571278004539,1.0555574256835143,1.1465356560810607,1.1787107549001732,1.1614847810145468,1.1518331821918133,1.212760102310768,1.2855949906754591,1.2156456063012082,1.2593201315418912,1.3868200217146962,1.4725489553864026,1.3508362762188668,1.4699151889181779,1.3311970493433722,1.6106468097418645,1.4090654463229701,1.326553915731915,1.3579401885921563,1.3783281887125176,1.6929748156264537,1.7193586419856075,1.8806296887746055,1.309715498678179,1.3399514153227492,1.5318870346261328,1.4849773687132746,1.6101755367111426,1.3438953121717063,1.5326744266149195,1.4118535896719964,1.5132638370489415,1.391997326182155,1.4726766814804209,1.750018276351433,1.4779374171479362,1.5940985955659541,1.2738844901067032,1.21073724241331,1.1694014156424055,1.218161846638413,1.253385703182855,1.385584672095628,1.2551664594379208,1.2067525528121787,1.2912888217543717,1.375931652197716,1.2621536400070061,1.2785071230162226,1.4529860952378457,1.5580378867474411,1.3881496906599995,1.4621562946041178,1.6197857585164341,1.706448774130152,1.544939371848276,1.5758715382470732,1.4325985087880708,1.3689156937544735,1.2961651453530647,1.2667076861156148,1.3515457511300377,1.2481909583311372,1.2411224481843521,1.2800607207215609,1.2772855264603558,1.2555741904046522,1.319771886549063,1.4598608571134153,1.3518607545814063,1.4034732093185307,1.5168596279806905,1.7658288200173369,1.6051025822557572,1.510828699509219,1.7647394060144628,1.8201207030017232,1.9196153733702237,1.5057043318173997,1.2837756961358293,1.170670620732294,1.354272045616754,1.413114392323467,1.5965117875589785,1.4380233135830847,1.2902933067115185,1.1414284466677604,1.1184382304421312,1.0396152383455308,0.9955352120875602,1.0578460659325513,1.100280109485237,1.1854438278062045,1.0816618870202606,1.0711838655091444,1.0536017208490034,1.0085913720254924,0.9374143621489178,1.2596266957963909,1.7168672257794535,1.552694130787246,2.4438934768869682,4.862470601674275],[0.8531777221433242,0.7202361646777972,0.7673810831615319,0.5833160158160016,0.6518803310606851,0.6841777513984517,0.6491111540865804,0.6943122408253083,0.6549476131527475,0.5664905904453083,0.5855898302922043,0.6659889103363166,0.589579818698778,0.5712310662523757,0.6055121781927278,0.5820667059436185,0.5743776623323901,0.5807434358264949,0.6555550576744128,0.5944623913736208,0.720614955567365,0.8059646004593136,0.8790643432746594,1.1043728047384551,0.8992298756172782,0.7807755753078374,0.6223752120655859,0.5591968081137824,0.5538207605722263,0.545391570827374,0.557006898243347,0.6033811154751045,0.63088254668654,0.6073200795968781,0.5619757894479882,0.5333858403156044,0.6114233865457028,0.5860485295722099,0.5493159355657312,0.6048043311323333,0.7961320168268203,0.647566293787496,0.6795519424420501,0.7643179725744893,1.0874304628240132,1.5294050179236416,1.9310088311991531,1.0890260606947115,1.4200562394615992,2.2023489070365567,1.2515703657203716,1.3807998354275421,0.9267949523946097,0.7900116133567884,0.8786881866509817,0.724016132269937,0.8321584283836517,0.6996364544388075,0.7538881478016551,1.3630223198922744,0.8445217891141721,0.7417690347456627,0.6534767574749681,0.7338767610849137,0.7130759589841819,0.6837955411257157,0.7547135306458275,0.6373752463769922,0.8313623283994698,0.7986386177846778,0.883242214921424,1.1952355374486237,0.8949388148711453,0.9910679390434711,0.670556559219594,1.0552228433556912,0.6352059222738519,0.6250622714146467,0.5722687454004771,0.6314453112718911,0.5881642850004477,0.6036378410054387,0.9999802010896804,0.7556489765541936,0.7730170494492862,0.5943923269957152,0.5839815261135662,0.6937985744473675,0.5541337165114408,0.6324790723418562,0.5903656579142477,0.7911196417193612,0.646437746327437,0.6219574126182623,0.6118538369661113,0.700684983535314,0.7097677135985561,0.6561258413479588,0.646501155601072,0.8751034159290091,0.6862437469327044,0.8091461891690918,0.6739016439727513,0.7417248959212156,0.8758138258133888,0.8368076584576446,0.921976239724445,0.8559334751809993,0.8367858966312283,0.8631163801847896,0.8076742997772955,0.6922287807278865,0.6047621044638877,0.583639049040776,0.5555811664971898,0.5437816662666096,0.635476908245513,0.5997074165134448,0.70675522320615,0.6311404920794522,0.6367792742284494,0.6055980758908518,0.6190389189208452,0.5425132845112556,0.5439747611113039,0.6003897904243782,0.7354353145905292,0.7066217730101045,0.8119721964020109,0.8010555506553234,0.9185260859075569,0.9932492105377033,0.9304048636328872,0.8411829231834062,0.8600728226892895,0.9129278908500273,0.8912773350951924,0.7468646818148204,0.6471229270729467,0.6539190833358139,0.7381337178544933,0.8865697116868796,0.6315102214826316,0.6061183900004207,0.5920616487937602,0.5522247798080961,0.5456234799714176,0.5807652171898321,0.5885291124147215,0.6342364994900056,0.7037296132409143,0.7622940086198295,1.1348464709551571,1.561652343250032,1.165676361481347,0.8195351487352445,0.6683230591977828,0.7065799538543146,0.6243151748822067,0.6846582830093901,0.6259484089919376,0.5688091814560942,0.6107912273041401,0.6193397902443973,0.729650670857592,0.8651613941285469,0.9193873215785688,1.2242820731649473,1.223731576939414,1.12687068000375,0.871091517560694,0.7149778275743398,0.740848643041539,0.6736487055991123,0.6249835841830484,0.6632423615033941,0.6618419162970223,0.8053771437834679,0.6417914586756217,0.7398524433529969,0.8565346483897778,0.7127724421217373,0.8058474330619956,0.9108440488394368,0.8653282892424883,0.8562582810936779,0.7141123400554348,0.9638403811244974,1.983766269631914,1.3182695775538178,1.5800133444679556,1.1754759836684974,1.332662733695398,1.311762887658563,1.1305791725433325,1.08930782831576,1.0406718371024448,1.097765542483604,1.0752749706486737,1.0246741776622497,1.0042249286647151,0.9382680621516997,0.8861601920692117,1.0134704189757782,1.0419679568379214,1.0182206713684505,1.0097950127621012,1.0960852198010185,1.1625646456676395,1.0946021189560118,1.1545951206444762,1.2965750429207694,1.3761828306663506,1.3046222811621937,1.4273555662942956,1.276106236164071,1.5767678910583822,1.389065179124146,1.3036141971819173,1.3321077016752154,1.367891440084701,1.7327209968658617,1.7010222315015564,1.797697479165198,1.3044485369074013,1.2803245788873283,1.422272114049714,1.3956775288574899,1.5570748194813337,1.2684331126336306,1.401542503682971,1.4040653388367992,1.4881463741700085,1.3128514535004645,1.4610420339096302,1.8043801258780205,1.482876917675882,1.57571358900477,1.1875237412467998,1.0900860327332564,1.0259230387964717,1.0735100354526999,1.0654764601803508,1.2154328758234192,1.066896432079649,1.0344258876192751,1.1335829868203746,1.1828955807811872,1.0909347927783726,1.1281108146675787,1.2966041235319943,1.4102578256895415,1.2437351540771402,1.3218475178064868,1.4731211251549987,1.5621073441755797,1.426824902387134,1.466640107785801,1.3323851753636469,1.2666447977200064,1.1788053858138032,1.1794709076027177,1.2913734411212816,1.1562355808025513,1.153755384061268,1.2518796058549835,1.2402385913717657,1.1879861452426854,1.2964227445485874,1.4811246382734802,1.3276953677069563,1.394980736298551,1.5538439363903582,1.8046887301004941,1.5850970862070979,1.4618568286941884,1.7795643439011242,1.8089449757034326,1.8899330057751267,1.4228337226429895,1.1911328702617943,1.0330371893972363,1.1765352640828788,1.277846497166483,1.527427657179504,1.3577687983927071,1.1857850749682801,0.9657600799861856,0.9401022459109107,0.8022939766964714,0.826033462014589,0.8845787715591954,0.921409084167747,1.0659766489520668,0.9221730486475713,0.9046685591109231,0.8748248016873108,0.8314413531092951,0.7082827760290537,1.1435868722274691,1.6286919000208473,1.5171599185149698,2.4014322087613524,4.917164431036612],[0.8891110363190932,0.7605564234891339,0.8218449310779219,0.5996213857442759,0.688248944452841,0.6804414780958682,0.6647217663686367,0.7091647535047012,0.6255088682352707,0.5173436134705245,0.524540521774204,0.6434854341943441,0.5544731613586095,0.5084018704125507,0.5395378834075386,0.5142333895876945,0.5227129810630003,0.5084661272317196,0.5835635257601492,0.5467284984321953,0.6527583375688379,0.7590912348970758,0.8388941244370826,1.0825277596585676,0.8916416785062528,0.7457497209075811,0.5796382693682313,0.5134619599253069,0.5050443938926932,0.52026212697871,0.5019473360690605,0.5744526120880781,0.5965079375750152,0.5643018407292358,0.5277147959967123,0.51824770666949,0.5874925998201924,0.571375697430062,0.539520447458601,0.642200482977574,0.7974162901416656,0.610958285397829,0.6769789552145858,0.759666730472282,1.08958790812909,1.5299111963589966,1.9756741246663359,1.1601286795436687,1.4097154682340702,2.2222878550134273,1.3074798729549415,1.3932850567231887,0.967586572040951,0.8122813245884982,0.8755747903569882,0.7780134016955264,0.8807502852888651,0.705960358518403,0.7508020650199456,1.3972882096760433,0.860821215374302,0.7239479670007242,0.6130556712740142,0.6803167635239643,0.6861083052254511,0.6338395987449025,0.6590577586546652,0.5354540999707388,0.7108654921425461,0.7084310056293666,0.8048671707717984,1.1336405608441291,0.7993291882400818,0.882085226070582,0.5805366760644588,1.0437287697867956,0.5542008864658385,0.554613507293176,0.5249473102653087,0.6126526539126442,0.5649448188188804,0.6093301108774989,0.9922046249500813,0.7852607250862089,0.8066036646966935,0.5935618371030336,0.5783247171883746,0.6675536071143009,0.533800847683823,0.6021362921710876,0.549126410917341,0.7563836668860159,0.6266537510233584,0.5443319389128115,0.5370458183339853,0.6329613719718908,0.6475003008094895,0.6323677092285719,0.6496863143224034,0.9037621348044715,0.6986229965038896,0.8333120811923259,0.7064968420113963,0.7966281098988511,0.9806592567710992,0.8790238182972427,0.9883539034565335,0.9681597450898185,0.9551682223162924,0.95278873974113,0.9057039738843832,0.75243614307672,0.6331793197289646,0.5842252278202226,0.529558539219648,0.5042822195920507,0.590136942426371,0.567717710858939,0.6803684325626285,0.537520406895944,0.5618445275379002,0.5194661599234642,0.5563868233700573,0.48557302034485883,0.5015384025520921,0.5790545274815061,0.739790646583954,0.7589031917417705,0.8908427099777231,0.8729501541988338,1.017018977189619,1.1133138147204202,1.0291149002812325,0.9468896117805118,0.9284800788580398,0.9492853446349907,0.9248733373368643,0.7720348354325601,0.6135303680879032,0.6289504052676809,0.6869901890881159,0.8880168746614093,0.6112726882536447,0.5524465549925609,0.5684304667792205,0.544615557018477,0.5398961085022607,0.5713275605553055,0.613427455548332,0.6411782473634158,0.7712381079656115,0.805297102850902,1.1843162227688875,1.5287158489409416,1.1874951059028844,0.8613261675345116,0.705802464874432,0.7406842495462717,0.6334437576451648,0.7447950447805627,0.648550828046315,0.5869975391357837,0.6082681430289498,0.6321707669039945,0.7788875511771209,0.8592196136799276,0.9702269301296613,1.2669659809164822,1.2679115643198615,1.1366600834510034,0.9064663549682275,0.7271086128164821,0.7634038491138526,0.71699492036116,0.666947833530864,0.6869860978226439,0.6597585503382067,0.8075452936367111,0.6698196206791898,0.747862436284858,0.9509832241096396,0.7785274783313274,0.9057390582888408,1.0220768395173037,0.941048442388653,0.9104855523326056,0.7719937041067729,1.024226763887723,2.0630937290604585,1.38662597492026,1.6586765487362116,1.2257014807142033,1.4031722377179061,1.3798159006029336,1.2447805739222995,1.2052383607401718,1.1426342666781344,1.222589748549596,1.1962243903398233,1.1381276016144835,1.1332792632143671,1.0605125843942376,1.0110378761993548,1.1329456983884305,1.1587988376876837,1.1363388544132735,1.1186576368980805,1.2079195802781317,1.2846068584485295,1.2356698822298706,1.2951516209032798,1.4355319742575303,1.4980243143621779,1.4952763969607323,1.5839899090740783,1.4154910825513438,1.669963211588226,1.471144422396664,1.4264688743465928,1.460824348663523,1.4971302269693358,1.8813880220353538,1.7877137705115518,1.807047648062641,1.4358414483902855,1.40216009485424,1.5163039895377266,1.4925589327344768,1.6677932216323732,1.3840760347064662,1.4600562760583942,1.5343178619439488,1.5699589815337924,1.4050242298897901,1.5810534125578455,1.9301477021128084,1.5984842812830866,1.6644235490186485,1.3000810383615873,1.2212022419536739,1.1624811099831562,1.1857117516672648,1.146047547927406,1.2884195895651418,1.1637834997054226,1.152621349161057,1.230760830945721,1.2356071979609433,1.186257953824202,1.23600962423455,1.3826062909238115,1.4723504680729764,1.3391509432362818,1.4274653215307027,1.5428530846883328,1.60483876518042,1.5376993833528865,1.584383275618385,1.4439530332754196,1.3913413081606623,1.3004411955153172,1.313439887680252,1.4279754361893209,1.28971291408316,1.2767607162614605,1.3777392854609365,1.3588875762714778,1.297907897124113,1.4112488421246145,1.5751372462576916,1.4141319966851786,1.5055185140829206,1.6561912759673023,1.8594060908581704,1.6317413889855006,1.497248314617204,1.8219610825037529,1.8209991202804656,1.8645747140932358,1.4318112407635821,1.272910096125185,1.1534712043966797,1.1809053639243843,1.2881275841242406,1.5483318043973913,1.4099680593034722,1.26320633070229,1.059267926825039,1.0457572696379223,0.8927953789298546,0.9604695051688992,1.0048845812728018,1.0360765172910777,1.1493942991204402,1.0369283221294594,1.0166712133323361,0.9604198487303401,0.9028181152499823,0.7671083016005957,1.2639136585621105,1.7297832223602523,1.6289455226547467,2.5008142648112908,5.054679031208244],[0.8638886927644468,0.7058169010674639,0.7136536127482797,0.5997751234745877,0.6931642972090198,0.6841068320788555,0.7280689498862695,0.7467340844215965,0.7508364305975125,0.7241303151776984,0.7500287080836799,0.7658189939977479,0.7396544378986974,0.7582387443392988,0.7706997927816915,0.7124059275589797,0.7103028616178831,0.7129690747218609,0.7455696957132067,0.7142673279115694,0.8046353433986994,0.899557808713904,0.9354368827580677,1.110670809022882,0.9493659317795278,0.8334596229417327,0.6959865406204108,0.653579844337812,0.6708881923797267,0.6664109937594266,0.7073339143935727,0.6972369525886437,0.7242967896108133,0.7091473708215358,0.6790292759298325,0.668667194384255,0.6984097143171066,0.6804409671963368,0.6450204192521449,0.6921425151784697,0.8320467134176895,0.7307650905670481,0.736984127079192,0.7984643452596654,1.124445447041256,1.5091608633270113,1.894074845074721,1.1033301098981592,1.3596612475865049,2.1768430108320773,1.2633637865840592,1.429201439990416,0.9665575434478386,0.8291756942326461,0.8872294692719359,0.7921633504712104,0.9146960384155944,0.7774083674488547,0.8086683235538811,1.4246565059830945,0.9611107794098451,0.8787186729226834,0.7599236711521286,0.7782999158605548,0.8279634067670457,0.8162362362536786,0.7933606466691969,0.7423339110006453,0.897095242171597,0.9526005988953844,1.0517665901326823,1.320285660400375,1.0335360167414938,1.0293767400242277,0.793703170674417,1.207071503646202,0.7394283853653535,0.7471620826651618,0.6704371175788031,0.7650844285064626,0.6502159744167718,0.6925754925392047,1.0544152144334313,0.7895884173526639,0.8072983805457473,0.6650484383553703,0.680315995776712,0.7594617421657345,0.6969300478941828,0.7322820240789033,0.7182993197132141,0.961737715182816,0.8300325503524569,0.7420420950936207,0.7390129414203965,0.8427128576280148,0.8540918818899853,0.7617108797838151,0.7494103767577116,0.9106548113084365,0.7517293218463132,0.8275188202176634,0.7331639871741508,0.7841128070646382,0.9725397793570044,0.8482818078564567,0.9538458860883836,0.9142402970723533,0.8836918047849602,0.8959388638546447,0.8511089912469073,0.7689295214737099,0.6874638344574073,0.6725396605661479,0.7017730665668026,0.674176165195485,0.7608617593819759,0.7301372292734943,0.8500650012578954,0.7284457616894958,0.7774289763317249,0.7293904556984523,0.7341220373619266,0.6744351465881563,0.6642353994930482,0.6539491130086502,0.7423743813748779,0.7731564910250065,0.8792864534393398,0.8595388836581435,1.0197352781139035,1.1137335415678549,1.028336054022811,0.9279579682583532,0.9269352222252899,0.9643437605361989,0.9348633646947269,0.7778881333479353,0.6978742234714381,0.713579792041317,0.8305965475729802,1.0309530655861452,0.74911969094646,0.6807662152790666,0.6724672176063162,0.669346099534724,0.6618934384043765,0.6768405982901519,0.6804911784911021,0.7260073955345315,0.7663530104079397,0.8184080894608805,1.1082212630934685,1.42838888778307,1.14762846311275,0.8520861577286992,0.7495790466855283,0.7549263861846343,0.6945869738051157,0.7490706634724486,0.6918920652269426,0.6516824988562964,0.6726160576053086,0.6832744354829317,0.7898972565990706,0.9066883302427318,0.9449753208182057,1.2155562308342087,1.2318013546054045,1.1057223145656412,0.8905830084269094,0.7336232258204278,0.7788385718472962,0.7339322609872331,0.6992797284252863,0.7231998894617917,0.7305008602663232,0.8286365564037168,0.7136259477163635,0.7622135961673759,0.9422259741922256,0.7775594089870768,0.8902205676297603,1.0064235343102257,0.9291326483034618,0.91065259985613,0.7738255609061688,0.989526562766638,1.9871554121673676,1.3141071788133267,1.6103315508691747,1.211665792538509,1.3878213026311117,1.3738528712700466,1.2441309563967142,1.2140300934172312,1.160179756933922,1.264208450962593,1.2075336169962771,1.1344026605489144,1.061926893441108,0.92587378833269,0.9184488859738748,1.0363859891182807,0.9939994521037393,0.9312151751746172,0.9894836045122597,1.01382769445683,0.9709380775704023,0.9545953662605738,0.9989283732711518,1.066773116992511,1.1381312374271708,1.203901002099891,1.2034451758089424,1.170186047593032,1.324583587593979,1.2616508935495179,1.181917072029365,1.158971096405952,1.255611602016058,1.581680642159384,1.5762075469934285,1.7205396853908423,1.2602458666239282,1.1876658901854724,1.2636323385430104,1.3013714169728372,1.477938781309316,1.243269364776842,1.3504755983001877,1.561496150098032,1.610357782400193,1.3945239139789927,1.5734353431216348,1.9428869148995858,1.6226261386136733,1.6325161320565298,1.270436337456051,1.2106281351294845,1.1343095422754685,1.0821650403182306,1.0522076077480291,1.0484807115899906,0.9775328995243592,0.9854669244834201,0.9597086967608921,0.9547616406436741,0.9495861228769761,0.9730062094460418,1.0375080848486031,1.1341397653658367,1.0155984650325756,1.0379821195949677,1.1373960342533735,1.2908175883069033,1.1144696065295323,1.1325667188378352,1.0483426230968151,1.0402659713001152,1.029143150202652,1.0718881880978903,1.1079303547779888,1.0462260667300733,1.1115896721108975,1.1839450679093673,1.1654553097817841,1.2000360990833838,1.341777796094953,1.4634926704907303,1.3704193594230398,1.5024245148461695,1.6394684671600612,1.9514432126978418,1.6720789151001452,1.5145531908018286,1.8236076255722,1.7686933613686466,1.6874929199231317,1.3650445498960198,1.1607405989763229,1.0000402855793782,1.1325738272820882,1.3009488937637146,1.5972968215823196,1.4458450678077013,1.2584391346804193,1.0518111903693008,1.0359850229860899,0.8684796408513072,0.8615363407170865,0.8927710933820268,0.8765173446316842,1.0058314275170714,0.9682846834525053,0.8356014567680059,0.7808419854635125,0.8443116612216145,0.6418751048128822,1.106995154009063,1.371354675781002,1.5239701590988166,2.217623499876705,4.663458051328124],[0.9412925252558848,0.799902446845281,0.7011841838932636,0.6140293145985757,0.644757009136525,0.5758565100217832,0.5597064286318046,0.5950441422222452,0.5178241429651697,0.4396340431830298,0.43435417234873147,0.5413335026562017,0.4711653129426696,0.4149845493047434,0.43549560491733014,0.41712332977582345,0.4522686760135738,0.4377788548780409,0.5201536931571215,0.5185116036326336,0.6123440692050077,0.7157428200336929,0.8538423271669919,1.1066025454107287,0.9260573683443027,0.7251024242433295,0.5548465111517447,0.4545698412107755,0.43521728288356104,0.44311274790339084,0.4179047025238355,0.47818585870511526,0.4801934439777954,0.4854279654521861,0.45847858370486505,0.467034737447264,0.5118698744864456,0.5340574857067285,0.4883641003035128,0.6204786920823626,0.8090529858990777,0.5938486285403005,0.6712246864730204,0.7870111495076821,1.1109517201751797,1.5120920333832013,1.9957572772028305,1.1904103115694338,1.403999179582922,2.2085009356819914,1.3398691626360189,1.3923849460034181,0.9999281819258675,0.8524632134835882,0.9060694943702171,0.8075520143818097,0.8694467679181818,0.7127579167210681,0.7644823249165609,1.4321048856582057,0.8466081486262061,0.7184009618489646,0.5950104646886756,0.6701582732035383,0.6768967068049854,0.6313479609956019,0.6248125808532986,0.4865464436062926,0.636053401339337,0.6599788836414034,0.7534497725824273,1.1003746168976076,0.7634462292531816,0.823886453097261,0.5264424129640882,1.006518597059036,0.5141814280023774,0.4894290146774023,0.4836648201723524,0.5860214368779623,0.5318770774096779,0.5753079278671752,0.8994988463440805,0.8314124207731769,0.8077143905570989,0.5430994157434338,0.5324655943997652,0.620989770070169,0.4836875254527188,0.5563825895845697,0.47955716109874325,0.6790496611591325,0.5485276766404026,0.4355923566217911,0.42769085763835846,0.545606832332956,0.6174505144930077,0.5040212035815373,0.5304419395631714,0.7389531288211533,0.5664961881922378,0.7009795623533911,0.5890757950045884,0.6627374340031056,0.8512578411703432,0.7094520784247423,0.8505568403859057,0.848629680429924,0.8052583266591133,0.7894967600922428,0.7220402492056657,0.6081996861510369,0.52916252083803,0.5021790893382687,0.4402547867156403,0.43746497963145187,0.5309259909751056,0.4895694659623238,0.6253758271952268,0.4748969700243614,0.5046644403859487,0.4715759359972254,0.48750019912172615,0.40844117938860425,0.4219527650410306,0.5115745386788008,0.7144267930843419,0.6909972736407493,0.811511319867436,0.8094088456536586,1.0041359405629164,1.0932072785330464,1.024826276780385,0.8914615242535772,0.9049324217971744,0.948638109901401,0.9316183956695875,0.7548173407569423,0.5612065071828632,0.56057108744066,0.6016899278529566,0.8162457587041337,0.5408684508229055,0.4806855426610249,0.5060564257354006,0.4761050658325106,0.47092387375647504,0.5111842161771174,0.5086233348778428,0.541878129706764,0.6033339578439829,0.6661311996325201,1.000313152112394,1.3722924972317123,1.1132543419693066,0.7158820189891045,0.5761890338246697,0.5843001336033653,0.5315445090412609,0.6243108138319483,0.5750957502554267,0.5428285303994455,0.5525719317720367,0.5876149104660727,0.7597241025773334,0.7944262171725167,0.9562052096186341,1.2745268018724536,1.277229706653468,1.1184190102211795,0.8891837088053048,0.7026795701521057,0.7249111347914451,0.6748400872174672,0.6120135398353115,0.5863303156695918,0.5778495382882628,0.6790034044008099,0.6130328952924846,0.6730547744608495,0.9142050820089,0.6908320973743418,0.8494974320162787,0.9800169541727866,0.8988482982772672,0.8988979016440037,0.7588956537300277,1.02344791498867,1.9819353545337237,1.4252351094556572,1.7666929121691552,1.2775528759254418,1.4755053501944844,1.4276601656950032,1.273044373527632,1.245533683655273,1.1729681326498453,1.2547760844379465,1.1595659649754315,1.1105673557139761,0.9853044580654534,0.8425093953462864,0.8498840357009582,0.9383301705955944,0.8874932525898447,0.8388704147668425,0.8868417782439376,0.8989403061821009,0.8783906658108714,0.8864768691031865,0.9315530702880347,1.0117848529458622,1.0856263855332664,1.1757792837928698,1.1975346664921878,1.1139390272124676,1.266886685625156,1.0952032066001465,1.025956165614802,1.037038727965512,1.1008696336894643,1.4696163966018987,1.4183965792701205,1.5713133034293896,1.1250268318034677,1.0674790615119738,1.1814328545906736,1.2348784001697724,1.420896083450781,1.1646597141882156,1.2633041355457069,1.4890583871578593,1.4878304367047872,1.3072004460827464,1.5319084948887316,1.8493147880279823,1.5279447725624824,1.6111608377124742,1.1992263548448252,1.161841423315433,1.0878711113476676,1.0013749055916545,1.0005915135266095,0.9580678578401747,0.9077891149840273,0.9088920846918311,0.8788509648929748,0.8590823708328459,0.8547350775525472,0.8792128877094734,0.9386026632557916,1.0453075899029896,0.9322589646330041,0.9487955472211704,1.0623646357181398,1.2407925718464117,1.0509154412235635,1.067166327003953,0.9660030794446821,0.9422313909878369,0.9257474662440922,0.9419476019623172,0.9843592686610393,0.926041139683239,0.9835245526510745,1.0251720479931528,1.0060297963346956,1.0502125033615324,1.176767772655966,1.2522096220331909,1.1623958062508324,1.3317469850996768,1.4552179839803172,1.706459877706389,1.4667846354177312,1.2936086507473388,1.6237459903248161,1.5321224238604687,1.3803448263793958,1.100191076371959,0.9785410790997047,0.9203154195086943,0.9557050693690949,1.0921688998855983,1.3431010608668204,1.297762460502838,1.1422685473096492,0.988821102001215,0.9890483382657757,0.800462666983207,0.7885749909749444,0.819061995301528,0.7979417526927439,0.8932490315567299,0.9038800886907903,0.7701731604980736,0.7441733087312995,0.8396271858277085,0.6257465617936179,1.0881764777984086,1.1911204129108393,1.5489184586063447,2.035323613819216,4.407139521082771],[0.8332838525790592,0.7212081118781813,0.6349425328892676,0.5478481928358833,0.5992485455255917,0.5334139828024924,0.527960566939414,0.5649401280813258,0.5113141746915543,0.4362382391261082,0.44691461853392783,0.5475640353652704,0.45618240619568645,0.4078274056991542,0.42369875318004113,0.4159473659412586,0.42597255411590007,0.4069058966310607,0.5245969755828054,0.4907906513789619,0.5872292687226548,0.6969730319666965,0.8848600187219141,1.0920509361802844,0.9569898184891575,0.7054474204938036,0.5311988428462474,0.4361248821217202,0.41169254207101214,0.42111637794214085,0.4129913775079163,0.46412969446595725,0.4665456429231639,0.46770967126807134,0.44183819279799535,0.4478912738238467,0.48912544440547817,0.5161821389499464,0.4801495501227999,0.6232308938114066,0.7899571017914113,0.5778327106617278,0.6603695391439127,0.7946551362167202,1.1028931639644934,1.4856370674417083,1.9866347066311485,1.220289536489434,1.3656134236823405,2.1909353924308084,1.3573810174685577,1.4049381777681187,1.018919672805727,0.8610572141825075,0.9230727930043658,0.8299259508400875,0.8841615474361627,0.7044200982476346,0.7619840515645223,1.4622985804223698,0.8290025327127962,0.7008854410802988,0.5717296352529033,0.6523726105925094,0.6570192936101051,0.6119966279999,0.6114382157367303,0.47635560654055686,0.6445485887271827,0.6606788846692858,0.7608998999156207,1.1183835424962605,0.7528521999676396,0.8334997951687549,0.5104148626594288,0.9704819186913657,0.50015334317979,0.4847127925698028,0.4751604945844393,0.5654139330619659,0.5385608146262103,0.5843729563440887,0.8728783053795823,0.8827254078425767,0.8338434451377257,0.5371005517301886,0.5255188241672837,0.6112527523138314,0.4570146139899829,0.5441270613901129,0.46308771509227675,0.6943875807125668,0.5531240080883475,0.4221595281585229,0.41228718111649154,0.5488343805163757,0.6280691975046571,0.5022523268577014,0.5198581107137569,0.6864072010336759,0.5250014463915464,0.6435188760215563,0.5533656300201728,0.6195105534130199,0.8539652612832632,0.6840705476234115,0.8246287351518466,0.8581764090997995,0.7764356173903816,0.7396294610622306,0.6748915396834985,0.5735304225105254,0.48905943539311514,0.4636213610245411,0.42541140062742355,0.4318382372827135,0.5213070900911145,0.45145379228924176,0.5942034193610604,0.4457492279377462,0.4879560065900537,0.475039553102087,0.4750767590457786,0.392192725703288,0.4115709482598812,0.4589248462501134,0.6788530610282804,0.6551689401808954,0.7852931994769085,0.794082792761303,1.0073485747646027,1.102139777561702,1.0452329611530264,0.8933160387004717,0.9075269212263205,0.9365140319130506,0.9252631479423036,0.7464788360666037,0.5261022543899522,0.5175116504703168,0.522108884791743,0.768616997847579,0.4919550331839716,0.44624979045743324,0.47835155928158735,0.45042198489733004,0.4519343295088411,0.48704886915393336,0.4755773731756034,0.5016280295921254,0.5473275603421768,0.6305527819954553,0.8992021099123323,1.2922512891774867,1.0471305591556213,0.6554516700601453,0.5418351717681976,0.529120104246359,0.48476874101979717,0.5731682632470624,0.5486131383291903,0.5222593519683578,0.5316708946995385,0.5795250102681482,0.7694275548366796,0.773665849356236,0.9755378783084668,1.2981580654339038,1.3006306117801125,1.1160007846242073,0.8947918618062927,0.6923816452020937,0.719262530379279,0.6743848336709718,0.5996705924066951,0.5720392077901777,0.5554994692600658,0.6464739818610445,0.6074010146276089,0.6729905682645825,0.9170836071208389,0.686535551908416,0.8587801041782581,1.0061897702942162,0.9173141925926992,0.9234975561659962,0.770421687477481,1.0370265238370655,1.9842519450237732,1.457100405705424,1.8212912980424854,1.3056385437841806,1.5197370976411628,1.4663308149544088,1.3204372694578956,1.3021382728732747,1.2145409110630636,1.2939174623503868,1.1813766127180942,1.0978392240749217,0.9749435512365284,0.7925012165549342,0.7970374485008697,0.8822611403741814,0.8059811775559077,0.7400490985280791,0.7840310979265026,0.7932697266636461,0.7524569288931808,0.7799001142299214,0.8274615453658509,0.8868180109058219,0.969738878814538,1.1046818871845108,1.113015310105507,1.0079918542245667,1.1486488506634922,0.9596914438251176,0.8948814875711804,0.9068326863959052,0.9743990558529035,1.3286032649553756,1.2805542266682512,1.525527088489264,1.0822544606793403,1.0284936824924,1.1743433498242666,1.2386799530325652,1.4098905642898663,1.1791002271033089,1.2806201571289084,1.5065375615895449,1.4765455918791583,1.3388125962714659,1.5905981102263222,1.843896065236476,1.5476281922412918,1.667986798247609,1.2304649808176213,1.1797887742709292,1.125270134616203,1.0102097813649493,0.9983414589791998,0.9251220307553011,0.8932090002608342,0.8855764981199301,0.8108826450386362,0.7813020051508337,0.80569709178999,0.7828508551996853,0.8016564242633047,0.8954044836370628,0.7994218324336718,0.811032502698659,0.8831695917933999,1.1077112623823415,0.9015560983783402,0.8989976380356977,0.8167057173686332,0.7968445829654529,0.8007773653512757,0.8372950378532733,0.8681596234779264,0.8172113421516775,0.9106340094155453,0.9413764446798368,0.9070086210428898,0.9865429711487481,1.1201724089329375,1.1532880429618104,1.0619516795790942,1.2809889107096193,1.3838422600879285,1.6315739529873767,1.3864920739496707,1.1594118483818918,1.5527958563033866,1.4092101940641064,1.1321017775972428,0.9249205526627701,0.8211179698042503,0.8229218484815243,0.8117009491541737,0.9231601712168497,1.2026483913801955,1.219469279553332,1.0948092106700318,0.9509572532755409,0.9736455787920686,0.7701359458865957,0.7203326111114123,0.7460107735456173,0.698992439384511,0.8050975459047274,0.8490864962775533,0.6768570402460469,0.653212618198912,0.8377804946328491,0.5439834313924914,1.0712254440345497,1.0127390515139352,1.4844319462527837,1.8770977882436959,4.096821866543718],[0.8774004239699131,0.8358502186569897,0.7076907739960235,0.6712584382668991,0.7495571548533111,0.5905455505610772,0.5664662657133,0.588369786423816,0.5297724388238837,0.4784897476055486,0.464040492248638,0.5248351530371419,0.5144617869282938,0.45011161868309835,0.46364216244403117,0.47511754569775294,0.517971455825854,0.5000634646309519,0.5993475155392133,0.5973734148772388,0.6817782472389914,0.7927582028811716,0.8965981422414181,1.196944652971083,0.9987582890802604,0.8003669853700324,0.6692304408837662,0.5702179412150498,0.531228215687408,0.5276642207805345,0.4783120085708704,0.5250158986810636,0.5075902744480144,0.5420316022300603,0.534910653484729,0.5613905544980194,0.600543344707083,0.6400201585441762,0.6430317824271078,0.7752532852196091,0.9287128043463037,0.7204662345022813,0.8058726557308268,0.9097523971707447,1.1623292953116642,1.5270599162407184,2.0276993969123693,1.2726912955945102,1.4901709447767923,2.226909380152319,1.4000994875775286,1.3937283388250719,1.069420737913894,1.0136871659080156,1.002992268501661,0.955903390011801,0.9983875257774193,0.8656061193257777,0.9066713860596854,1.5214691048327416,0.927532666740435,0.7766666365420871,0.6734554164873484,0.7450764168434862,0.7519668373542553,0.6995919182506146,0.6965748045518725,0.5528897160420221,0.6814865447122848,0.6815598437901902,0.7616468051491311,1.1308140820321817,0.7799751521144835,0.8678391985587017,0.5614653784501681,1.008153086376413,0.5787534552695454,0.5609701215678128,0.5779896986510041,0.7015665125673637,0.6728472431843463,0.7217777509109079,1.0016053657595518,1.0314517610621676,0.9994364600580697,0.7049131497051204,0.6715547250142948,0.7047444525535096,0.5984089081680137,0.6159337316334855,0.5376085545907205,0.7109314466408443,0.6023278629705654,0.48750540628774947,0.4683155710692886,0.5848830040213624,0.6539249622018378,0.5158373938892654,0.5402421754724689,0.6820537440310824,0.5706651728030752,0.7034827432226207,0.654435558378657,0.7165034571904975,0.9756844200651148,0.8073241117707295,0.9416335059214829,0.9973163378052573,0.906397792978148,0.8475110505782169,0.7751944790559806,0.6895158319112671,0.5895251716102436,0.6184264114520314,0.5045123115421222,0.5482156431001484,0.6154959472232764,0.5590051312291704,0.6506185666354365,0.5254599729328623,0.544786427344461,0.5488972936909965,0.5561033900409914,0.48711056828221594,0.5196730294017373,0.6409029546953916,0.7919319383037609,0.8138104083692594,0.9253535576162983,0.9540125728287913,1.1629687436446903,1.2289358687471323,1.2147862681531931,1.0552506912734494,1.1110866079917994,1.1497994420017794,1.1468822389092448,1.0102789247660662,0.7805547858708283,0.7448599549696399,0.7175329194120299,0.9082344744061294,0.6411999764354943,0.6299718167501622,0.661527967089978,0.5929003350789138,0.5940240811997368,0.6133855461659021,0.5962805109734797,0.5819084373473231,0.6040169719169421,0.6444464872067059,0.903143679661942,1.2850335170046379,1.075276716744853,0.6675027633093967,0.5756543314694696,0.5854096598902223,0.5882550091168888,0.7050969328845075,0.7092642991352692,0.6816895809168044,0.7248851220919906,0.7625335391680632,0.9210361171790283,0.9811905967175341,1.1530835426487742,1.4549654058226933,1.4771254175743718,1.2996739452517498,1.1111833402271518,0.9155371702755244,0.9048796680368932,0.8526231718820081,0.7633299671850804,0.7205304025446913,0.707876382956797,0.7720929275809874,0.7654626884063667,0.7968293000205275,1.059007097378161,0.8396390250747386,1.0122787070531882,1.156317076635203,1.0822596949940375,1.065896718282654,0.9199931652662738,1.1687306188956887,1.9990238886718819,1.6230028746700043,1.977082417228017,1.4724044298611838,1.7005102266168364,1.649204522118135,1.4720436027325532,1.4153887684875397,1.3583439164481712,1.401042595895108,1.2737043945520332,1.2163719819210732,1.0573042594898527,0.8718432497997178,0.8920348527245207,0.9593997570835073,0.8625524502309337,0.7998534385690987,0.8491749874560012,0.8302529004397866,0.7457250684766273,0.749549186270285,0.7939648435270789,0.816804200227004,0.8753690925350563,0.9831904281794299,0.9949968631759907,0.9535557435230296,1.104119631388217,0.9436123768403887,0.904376735782397,0.891686981554208,0.9599101588805967,1.260645268484416,1.246101156654172,1.6005914247864532,1.1289179779205647,1.058213333513389,1.1977830597450274,1.2561431153195919,1.3813990787362203,1.2028741100672085,1.3059299966689513,1.5207586349662112,1.5162590881739664,1.3740304029362147,1.6415880454397207,1.8457442265903323,1.58908168728112,1.7355039616797612,1.2945381874276312,1.281442627895745,1.2076263829760432,1.0906609591995284,1.1045769796521219,0.964557574488479,0.9663905096259452,0.9660695764859452,0.8542904610452903,0.844325623035337,0.8711958343407636,0.8269634755897503,0.8009502304667957,0.8863882102708044,0.7840106230719182,0.7738546548054398,0.8595417115640284,1.1337926714872109,0.852879595315393,0.8486125064686798,0.7982182047746144,0.818919315773613,0.8445517359927928,0.8761581885021793,0.8821147890761654,0.8489776985664522,0.9548206898398673,0.9695870564575859,0.9379079761106863,1.0278580853502426,1.146000067430673,1.1750325032469255,1.0988646706476413,1.3024854393451293,1.370859316359033,1.6573087471761834,1.4038213725401316,1.1747985986618803,1.5507204544791116,1.375728910529768,1.1368982448673461,0.9540217893284791,0.8618074572116049,0.8127939801880172,0.8595128079393909,0.9944123209594291,1.2186275841037442,1.265385410389405,1.1663744339228899,1.066199265570871,1.0916413838606764,0.9125995270837817,0.7817041318589855,0.8452094796445732,0.8031982205190039,0.9291867214067994,0.9910461127288762,0.7355225520062034,0.7825042709464329,1.0053765559873422,0.680266045317973,1.123464446326883,0.9226587256954771,1.68357515117025,1.587340216120643,3.5523409175197282],[0.8068750581595979,0.7173709117587667,0.5822168704520022,0.4734958701953764,0.5393660656953663,0.45257673386750563,0.4567894747101786,0.4949311047912434,0.46810407667505777,0.40950119116967654,0.4298970699422308,0.4592882449092474,0.41974428868889097,0.41472939263437797,0.43936331238257914,0.3957746800553611,0.4334449498114841,0.4346183060246811,0.592196643389351,0.5322087139701113,0.6652249263818989,0.7708358954977276,0.9649882163517736,1.2006742500175989,1.0142906973497428,0.7686791501354275,0.5691365069752815,0.44391579789500923,0.4135090571509974,0.3970981780495802,0.42399907130662623,0.40594123342642663,0.4143457387531376,0.4550529469839791,0.4254514624683836,0.4559753838124851,0.4390644612141981,0.5251414262965436,0.48454215605007955,0.6362129432469597,0.851193166091618,0.6294143810786779,0.708012597745489,0.8410334105803432,1.1577633408922894,1.475402054532512,2.061792439167575,1.2721215776855423,1.3773515878913718,2.135292714278121,1.3841871449789243,1.445352973911971,1.0571897252783244,0.9607866711904626,0.9570093343832379,0.9019112996268772,0.9283961818082881,0.7423846036997088,0.7884050124928618,1.5374426730032453,0.8889747218206258,0.7557005352952092,0.6420532161242574,0.7482891930593905,0.7548297412452902,0.6722966162768971,0.7025350801721058,0.5432078826957534,0.726978847890554,0.7561282508642347,0.8612474174451736,1.2354995316653172,0.851423905794388,0.938888368108152,0.6097126811785923,1.0632114394344068,0.5756550587481378,0.5402405403313053,0.4990333178690238,0.6040895056789087,0.5334976501733015,0.5969733056550035,0.8666315060513796,0.9024793230580528,0.8529261644744048,0.5042620244115275,0.521588806138215,0.5757041531433349,0.4832625065029881,0.5328015694435676,0.4904889365466399,0.7357537279553127,0.6309880261226162,0.4435772892765382,0.428736584465746,0.5823363035132154,0.6585388927059327,0.48082526742573234,0.4625365788706722,0.5878588641716064,0.4398306051086825,0.5470197208364119,0.46070639140005964,0.533019175784037,0.8292516200927604,0.6209624365379469,0.7473982339885237,0.8244363802242339,0.7014294028721213,0.6445773093973747,0.5839401598191789,0.4799503460401723,0.4032539114495408,0.3799771224704063,0.38723681442532315,0.40683428607503025,0.49239471351076974,0.5000433746317715,0.6854661517208913,0.49704020066675764,0.5568480241271667,0.5108991517306357,0.4922675496673441,0.3668408129584036,0.37782761387768965,0.36893623835388456,0.5711563295037521,0.5771014411056891,0.6883289437701408,0.7306801976377674,0.9433542302192248,1.0461067878366312,1.0248640006988106,0.8397056455209094,0.8648418546784411,0.90890772454681,0.8789778905471266,0.754300663209721,0.5566250488217367,0.5327396806022534,0.5858254466832126,0.858104026723652,0.5581611562624015,0.4743925181423317,0.4921376677175733,0.43120486336584596,0.42452488942399735,0.4303541839437869,0.3830247014009944,0.43645965419209914,0.4488222161634223,0.5728178054836494,0.8121634623149429,1.2486045411065765,1.01969795277472,0.5645421658269693,0.45720752784829627,0.4261825330681182,0.41655077354791503,0.4902998258971448,0.48222142201936874,0.4802045161424266,0.5183529006718699,0.5697450323826905,0.7690505823399648,0.8328478920420221,0.9955912407094356,1.3415704558356647,1.3230739742932514,1.0811594805057274,0.8825607788544177,0.6813555429682282,0.6828200644325756,0.6219534024275546,0.5336725470225389,0.5082101012596064,0.5291499889305024,0.5564391874016069,0.5624799519975586,0.5913106733216388,0.8463010470365342,0.6257580456720339,0.8352764225919396,1.0124266077932857,0.9063268891419953,0.9472914321218857,0.7769210151329708,1.0694418804967916,1.8155200682158212,1.5585424252073004,1.9625792377278752,1.383859153142836,1.6031400201449166,1.524475695261581,1.356088681833591,1.3227337001390642,1.1974715037356962,1.2488534758568115,1.1237905168323679,1.0336801057765097,0.917581940962207,0.7317806825867341,0.7191460159649035,0.8023377871906123,0.7409567880685033,0.6854271514908833,0.7234096494200704,0.7464788080435888,0.7064489053383464,0.7507082816484044,0.8207404924291052,0.8668883244199702,0.9260219335020848,1.074481762609275,1.1110598014608672,1.0181244377657985,1.1367850581368109,0.9456005999115737,0.8577756664495466,0.8822960761359513,0.9211303908465903,1.2798249185260286,1.17514570057323,1.424055445323573,1.0465000036925656,0.991210763348188,1.1383185945476806,1.2189301961985126,1.3814730265197852,1.173649174882349,1.236318313615978,1.4590130249453337,1.385425149254756,1.2914552298062745,1.6314842928892175,1.766919472056127,1.48751664697985,1.68749290402442,1.1803753647468087,1.157111415084629,1.0965285557628066,0.9806269994818909,0.9782423272720556,0.8855143750610083,0.8662711198565044,0.845859467641555,0.760434258858527,0.7368317338426092,0.7584010798721362,0.7271530414314666,0.7372772513225213,0.8253022473103957,0.7382477885827701,0.7547807597438669,0.829147528496959,1.0715532054970605,0.8665317687080344,0.8577906960334456,0.785662399350624,0.754566792240789,0.7505023303329112,0.777038267096999,0.8242632952690737,0.7688557261899901,0.842465363583644,0.8726383959048776,0.8424633477754957,0.8995588262971355,1.0321019442326778,1.0540085871000369,0.9486660702112242,1.1578785075907556,1.2710170801490137,1.491034870501174,1.2491576622405496,0.9807384554981076,1.4436262727535605,1.3006296834779438,1.0626979369115752,0.8944573708459201,0.7773335959907571,0.8144246075350218,0.8326238251072889,0.7876715745642869,0.9495706099865915,0.9978343491751365,0.9630297956412075,0.8549897838608039,0.8912116626632075,0.6904834235524381,0.6283736039936836,0.6616240018381203,0.6242068551770802,0.7873645102576947,0.8064663974807629,0.6110970495548351,0.6180352684370121,0.869902168919925,0.5100129800435081,1.058487774269235,0.8851736789238815,1.5398368064707886,1.580438531145185,3.6117720249435257],[0.7406079316782103,0.6918570310820932,0.5345310715470966,0.45364766549211843,0.5412743502225149,0.44423900857375814,0.4780897145616794,0.5171982448045235,0.5095951780594703,0.4573668827445479,0.4836683792303675,0.48900322793915574,0.46041534378915067,0.4643247029058857,0.5006691727151698,0.444246358310249,0.4824783671802795,0.4841268046047285,0.6291144377604452,0.5734641792375578,0.6837834505943597,0.7765457112181042,0.9720032988628168,1.2269527063903962,1.033896195731887,0.7998504990580373,0.6271754801728279,0.4918030341649146,0.4625956007140312,0.44385927641186496,0.4705391467435065,0.44684992095421844,0.4607409616175604,0.501664657434404,0.47827600462468545,0.5006372271322977,0.48628489992337154,0.569702507772597,0.5430087691310587,0.6872898458387954,0.890609643469882,0.6787533830235782,0.7518361585316624,0.8826866660075865,1.1587062977425067,1.4820659912138223,2.081803448649902,1.2745111468392678,1.4646302596879677,2.1589083084258434,1.3971913309467798,1.4326393200968641,1.0571953331639146,1.020235609541103,0.9868439555498827,0.9385794423253219,0.9544987856382677,0.7853075000787998,0.8204634831734496,1.579106918555092,0.9082038792023097,0.7864628382242607,0.6808944671613293,0.7831888069458198,0.7829940877022322,0.6942965265924692,0.7388426668130219,0.5825020191548289,0.7468148386407868,0.7809101445267086,0.9008361673065656,1.274569122880855,0.8940464069035146,0.9822205470309386,0.6491932941812841,1.0938718691333176,0.6164178885880839,0.5909820528645837,0.5482154002120196,0.6482349584134788,0.5693583539857826,0.6419481510214015,0.9173866859460991,0.9393771260017215,0.9072141449566673,0.5540519801965377,0.5655755988292436,0.6036450309073135,0.5358860477292884,0.5677348151380295,0.5451403237452737,0.7728391392292479,0.6811441797760849,0.5015742150395927,0.48992578680631943,0.6331893265199775,0.7163081565340093,0.5409260123704063,0.5134559847538775,0.6189060893871202,0.4824948994244947,0.5790166917453683,0.4865947272853897,0.5514025641460315,0.8700001147540716,0.6472606694099041,0.7482396432262346,0.8188955606415944,0.7033760018814044,0.647310136163883,0.5695470337539421,0.48660060529890065,0.4186576905018928,0.4115013141043848,0.4216013713125069,0.4316412219767769,0.5049973009151562,0.5425053284340591,0.7265541312513789,0.5362538686760498,0.595619113429564,0.5434469945598074,0.5146911817881747,0.41220733982192637,0.42565666831678606,0.42126702399369087,0.5450038391757145,0.6019924238477538,0.6716509976764131,0.7473891766957201,0.945677116592896,1.031065471051212,1.0475444511252212,0.8568177731338309,0.9128256367821844,0.9475622821142217,0.9265232504289485,0.8320069585631482,0.6538933713756696,0.622228520817062,0.6804088107843039,0.9287967562312249,0.614517477303976,0.5395893498428301,0.5572901768759289,0.4837558589397144,0.4670762291859573,0.4774193181952001,0.41151036811791725,0.47164345679470715,0.4532676064036296,0.597302981676809,0.7997687405361814,1.288039805950674,1.0757250877396083,0.5776323697585725,0.48439690049461187,0.44598434968446815,0.44753870434625564,0.5218092323569118,0.5272360233620311,0.5256219717649991,0.5756538930264833,0.6202818333337913,0.8016733043908485,0.9056024746761091,1.0426538938458219,1.3908212222685399,1.3761683093776018,1.1436797248186206,0.9548324992128773,0.7580198114744828,0.7339096464074988,0.6649500451536244,0.5757610482375447,0.5488839859187978,0.5740065328427979,0.5917631141847663,0.60817038916325,0.6011608349037858,0.8616042331339981,0.646849286509149,0.8530238118530886,1.0244721865934974,0.9436219911857815,0.986707204823011,0.8281606348532969,1.1375208364619507,1.8122918836136384,1.6277151512946142,2.0044292661354444,1.4383705616078233,1.656264620065721,1.5749864123048762,1.3680406104315124,1.3082984288498734,1.1992118466538035,1.2094942216679503,1.0814617212115654,1.0007788877697712,0.8636247867078666,0.6747472498755743,0.6689194184070006,0.7470240736806356,0.6769276156554005,0.6369430678434832,0.6661293985009277,0.6803102096118174,0.627292102662276,0.6770412716687652,0.7340641196069766,0.7646206772435763,0.8331092986215861,0.9564502282215371,0.9918870002674087,0.9195273824498098,1.050431804595701,0.8648911376742887,0.7892872833632268,0.7968360913222862,0.8337463376499618,1.1742950173112436,1.0728841743185888,1.4254293598784609,1.023011209239552,0.9224400873866228,1.0518893712078234,1.1270231974181975,1.253168710404856,1.0903169323574116,1.1584404330087288,1.3715771579517737,1.3152147423431035,1.2095905020484652,1.5750337028228878,1.6848470860343372,1.4162289890316422,1.6641494214025285,1.1220523884191742,1.1222335947869084,1.0564103719044633,0.928845004089486,0.9501274215154885,0.8339196663012128,0.8424940333494612,0.8021461607300058,0.705969860177153,0.7126527004422846,0.7308498193546517,0.6685872458627824,0.6696469667023299,0.7851412908772722,0.6684273612363103,0.6710676813440367,0.7506631632830263,1.0460950155485682,0.7819851570471581,0.7680796538466492,0.6967471044367035,0.6843572819973878,0.6905048205625429,0.7129445120595723,0.7450705798468114,0.7005431572181515,0.7775661959407113,0.8034672661471107,0.777648389837263,0.8349086301395535,0.9695252148168544,0.982982246597287,0.8849105287759162,1.0893637558329703,1.1953909946231585,1.4723848115364992,1.212384030333781,0.9301923272701291,1.4205710544996186,1.2668832441704616,1.008928504114392,0.8521054604381321,0.7169503504648064,0.732724149571352,0.7946933627784969,0.733022633112046,0.8869918400351526,0.934712811842286,0.9065514759049627,0.8160554032568016,0.8481848483994898,0.6689899242544043,0.576471369752603,0.6324893561389235,0.6088238635502683,0.878005633341773,0.8230902000502742,0.579438212026772,0.6591384681333197,0.9338560646553472,0.5376520821912828,1.0345961703921773,0.894018864687423,1.7267778004115275,1.400369687447743,3.137636335139411],[0.6008232320316285,0.5988702037027647,0.5025433059068375,0.3721579708662234,0.522526988187242,0.42132215131314976,0.45798859731200836,0.5018792262301741,0.49052578240052525,0.41785672110288413,0.45025937661190396,0.47142794174713265,0.4104778735456079,0.4096834616052514,0.4353654223360533,0.36928790122822774,0.4002703493659969,0.3950700763815262,0.5355138054141522,0.49063407468954556,0.6072888120685149,0.7234924805112011,0.8824175005421225,1.1548773364426121,0.9669918131435266,0.7316524457321616,0.5582663697688325,0.4266075817434163,0.3933449873042069,0.377238288374404,0.3910298189140191,0.3935145325182557,0.4065958655586973,0.42995824044689646,0.40336873607265966,0.4278083937349658,0.4351479156776133,0.5181264804207103,0.5142805484185767,0.6771420633511339,0.8832168103505936,0.618234029891697,0.7128740933644254,0.8408361047139435,1.1388884051452361,1.511142010953419,2.0454769751492563,1.2576267985809024,1.462334559356733,2.211858989398782,1.390277854478732,1.409123301453998,1.0481581426689512,0.9927655029764733,0.9556036581059406,0.8978836034294124,0.9236829090467757,0.7563399812276049,0.7988758471575103,1.504515960539535,0.851795435744286,0.7051793332747125,0.5859809651985084,0.685948794925229,0.6899770262177397,0.6174633494382994,0.6294656467392105,0.4808105413288738,0.6657219848087575,0.7181233510360439,0.8083397679914542,1.1831694726240094,0.802890293430245,0.8851262056553255,0.5475583710676658,1.0224337727329844,0.5064658012976583,0.4836809264548781,0.4621629292384865,0.585993758710707,0.5403718134181201,0.6103764067514293,0.8945854697290464,0.9291137827299952,0.903953470856016,0.5460493633934758,0.5322147347540312,0.5688325627846688,0.46328617850762666,0.5104581224218656,0.44475191884597526,0.7078072336791783,0.5983318207970527,0.4151801793401271,0.40904098508017356,0.5770551040619593,0.671484303560272,0.4839313259608453,0.46073030716738267,0.5876299222835086,0.4473524551769085,0.5526549993600902,0.4639925881971617,0.5344014005864762,0.8547431928563335,0.6486200434746103,0.7635732559189223,0.8443260938710937,0.7263051155372948,0.6595004729398839,0.5694604151677515,0.48668820605444585,0.39149668953214245,0.39244696708861804,0.36617838491331506,0.39184136544383846,0.46992878831665735,0.4608418418461158,0.6144659101633355,0.44022204271466925,0.5042129433140465,0.4782693268903888,0.45897372989380614,0.34514627385167296,0.37344984014077115,0.40493727802647606,0.5434098897184177,0.6214055433607966,0.7104831165323873,0.7857807654261307,1.0099643676602126,1.0850730497004077,1.11619957650043,0.9164069059721638,0.9929882186177724,1.0142755473717362,1.015009528272609,0.8945467554862941,0.6723318352271901,0.6306955753414601,0.6415653980482715,0.8683464266937536,0.5578735405188039,0.5067570365780881,0.5329207502760831,0.4438345209492113,0.4349495162137379,0.4344136915481781,0.3829728024362789,0.43142177661726855,0.43034656942683497,0.5837706976588424,0.7968203634824041,1.2807860693332236,1.0543554601992682,0.5611314611982099,0.4522523237052834,0.4171188914243038,0.4057640975794171,0.5039369188275405,0.5265730497565171,0.5149789159891823,0.5861834932932583,0.62986191779992,0.8419535053122817,0.9492855992614999,1.119783218338334,1.4621896943135864,1.4674364052898987,1.260716272382487,1.0476782502290465,0.8135186113403273,0.7838120924051888,0.7025243380796844,0.5920166954946604,0.5427510027810247,0.5408937659311489,0.5792892363527089,0.6042938186396143,0.6234657375237846,0.913572761558303,0.6773971980977794,0.8953322524446056,1.0719445408063872,1.002167173419281,1.007260521601989,0.8425298465572209,1.1497203530061528,1.933347971001428,1.6333163342915427,1.9843188140506507,1.4650975310647034,1.695076936744333,1.627078305103747,1.4189807151720433,1.3403287976731681,1.2581272137307273,1.2583980738296445,1.1195666778143623,1.0442234911143617,0.8820411053548729,0.6809863924738299,0.6816724127268325,0.7516025297358251,0.6656455288093992,0.6159509499034755,0.6401870683704632,0.6465747014919655,0.586484096870286,0.6410667141100111,0.688133317733041,0.7114475474430423,0.7948911495747185,0.9199896093987054,0.9354759598308882,0.854257279020575,0.9835047795053109,0.7963393787430115,0.7387830060657858,0.7366792868108503,0.7834011508141556,1.1378855908678824,1.0168265172316642,1.4320212306047422,1.0203122673503882,0.9088607863749657,1.0425043694028577,1.120561989056983,1.2117947636948672,1.0712517907581385,1.161404061710796,1.361696716965202,1.3363177319057105,1.2150097739786383,1.5662053206716415,1.6808577761631487,1.4330188986228118,1.6734678970195604,1.140718367141503,1.1514576069646167,1.0737827143959575,0.9359428533992417,0.9651404297902452,0.8246561831165434,0.8472613960243306,0.8070525984230248,0.6969082113507574,0.7096126780405972,0.7297400267757348,0.6552693827489195,0.6482830610301358,0.7667817083507508,0.6395238181277222,0.6285603278673851,0.7127251520891196,1.0012789804401465,0.7321512434110211,0.7102104644250249,0.6415986702153558,0.6437206676960964,0.6677110378015964,0.6961903295888098,0.7025584023525069,0.6653464110897521,0.7637982388894582,0.7839099058644585,0.7497841572097068,0.8331869231782996,0.9722631044987755,0.9702384667061996,0.8816954766935818,1.1026011474455815,1.1830941679715585,1.4805323234598937,1.2351298754864202,0.9356973051061656,1.4146556187859152,1.2426062694841498,0.9559412157704317,0.818690901317092,0.6764396250417508,0.6829560700910012,0.7725459843654228,0.7206328440630516,0.9124728736041454,0.9983030872332671,0.9378552243256838,0.84463524923357,0.890043904312803,0.6987926005284775,0.564638157128119,0.6245354553977976,0.5945135840380029,0.8494597478710114,0.7943153173809062,0.5477478437243635,0.6021161342608881,0.8781114399195702,0.4630122644243395,1.0006972871852158,0.8477588819656263,1.6078355130746753,1.3050437135469264,2.9262666519723255],[0.5786906032446134,0.5435296593693985,0.55165776241158,0.35167140809734626,0.46328145361292533,0.543576257876217,0.5764569377037496,0.6135445888935847,0.5915937833994798,0.5450395322695762,0.570199211768883,0.5781617962648085,0.5160227637959963,0.5295144767598762,0.5403010438702939,0.46984558894423467,0.4801878194568611,0.48436208055600255,0.6150970398977773,0.5414339096569057,0.6611676250237591,0.7684834042990077,0.9732044584718267,1.1431767638171095,1.008581747769959,0.7355453961462548,0.5451545909645032,0.46305344027083367,0.45037784537957565,0.43517353312037893,0.49655517740477106,0.46422634564088266,0.48783480514522093,0.4849217694625952,0.4494803080378425,0.4686305154488375,0.4410453774179935,0.5315404845018028,0.44796104579669516,0.5888143890340958,0.7897026437962265,0.5956497880291811,0.6674576730338214,0.800676748846507,1.1491494710636114,1.4781589748576562,2.017331974529641,1.2551018241207328,1.3088882518086276,2.1256757185929125,1.365144436884298,1.438661894372271,1.0519563462640606,0.8698180365850822,0.9297172146881547,0.8605191809866944,0.9048663869828819,0.6998281550446629,0.750419079436594,1.4940058193027568,0.8545799679976934,0.7274326105184566,0.6025450151960732,0.702868646814198,0.711791142931366,0.6446048351613317,0.6892777918822041,0.5683833486838287,0.7543527521011059,0.8152142782715041,0.9095660654666421,1.2579878688118373,0.8661649133486429,0.9325301857704916,0.643673730058133,1.0260205395833084,0.5824706387880502,0.5636237208837181,0.5015272453941562,0.5671723601548582,0.4897014636217365,0.552870656621921,0.804934757686429,0.8426454209140869,0.7749765357563453,0.44656493310175915,0.49301502684428344,0.5647559915765354,0.47207439691395525,0.5411594542875634,0.5198587679779744,0.7799854430135282,0.6785772577020588,0.4985544223225381,0.504241911288284,0.6461908898759431,0.7559397002089567,0.5697607547444397,0.542025325231331,0.6474177581407388,0.5240223760552437,0.562988943426934,0.4747488469052101,0.5439097560905173,0.7899532508421964,0.6084617241103472,0.7111778433552675,0.7847284352510935,0.6489883365707778,0.5945427291331392,0.5542625630657982,0.4944008329998425,0.4712034611451428,0.4079004227338527,0.4806452632174779,0.4787988635830088,0.5656212921886099,0.5405790231685892,0.6990061250794295,0.5350596324837438,0.6050964758699486,0.572605387029597,0.5663081232261846,0.46660741021674734,0.4786809523623717,0.3816631392154049,0.5100227542424909,0.5520079337769599,0.6203313615781427,0.6702991402311518,0.8779312645933446,0.9881342963439678,0.9741019270508033,0.7795171310528284,0.7958381680604464,0.8048137207659857,0.7858685466689218,0.6502860433068234,0.46821585273215977,0.46926000423670927,0.5282788678557669,0.7925861244410456,0.5258100847078635,0.4481383515330482,0.44946578681667343,0.43765003939925884,0.4389313654939644,0.44050805943913507,0.41543107209944863,0.5127986240454961,0.5017055417664382,0.666714622924477,0.8490397776903967,1.287790308347629,1.0503406975407712,0.626902627005442,0.5418948623034813,0.4886715625275632,0.4627756796734349,0.4908123078121095,0.4586267894533023,0.46159581748766565,0.4650328324407779,0.5071312721615248,0.7299295916231009,0.7621476737508351,0.9509945698119828,1.3068647930814892,1.292299581552506,1.029774605640037,0.8193900344187485,0.6050223444617158,0.617442707283993,0.5628250533598642,0.48424918026166136,0.4683455071446834,0.5010469690585612,0.5283958425554185,0.5263297054491622,0.5613237428059287,0.8082369554712215,0.5716944948546117,0.7934190746896287,0.9773169566273449,0.8657282072260022,0.9134713932343648,0.728901694720965,1.0131943558583096,1.834717045618601,1.4928614388331571,1.9089476598922608,1.3457344686154604,1.5667706829148742,1.4929947163050712,1.322066575029549,1.298962044784482,1.1592825319874531,1.1874794659484815,1.046787293765315,0.9524274459809291,0.827841015597471,0.6480663017358308,0.6260002982156077,0.6844903361884023,0.623243490346159,0.5904060931481849,0.6074886718232962,0.6284010353293413,0.61236685767687,0.7152189437117964,0.7761023855839975,0.8015136478426931,0.8870550240347522,1.0617168234050303,1.0620252956636316,0.9445178966187001,1.0041987107159955,0.8107478457058217,0.7183881524423888,0.7410754484782982,0.7667932692203173,1.1256356375754344,0.9674185630370201,1.2827685929155128,0.9798317359358878,0.9060440897193247,1.0510282413644998,1.1445625511187834,1.2745510956854016,1.114978122578811,1.1525612192404644,1.3725914133833652,1.2870995398029548,1.2101904736404778,1.59394096013076,1.683847140980788,1.4049118567983632,1.6700487364667451,1.102246691109274,1.0965017148562197,1.0375364648625875,0.901660461812859,0.91575328489339,0.8365171075340964,0.8320890535908207,0.7829116295526288,0.6980410366638521,0.6750616247161318,0.7098275355211143,0.6346781438300265,0.6423672912827779,0.7581656225558313,0.6600026548559189,0.6621526069506828,0.724828416028871,0.9571794499390308,0.7730784485415438,0.7366352239214315,0.6735294047028969,0.6330504873425536,0.6418115593071584,0.6585945020441052,0.6874086238288425,0.6434350557764837,0.730222000247277,0.7457159279156415,0.7072084386560568,0.772721884284472,0.9321782958389084,0.9148159762080589,0.7969161093488784,1.0379241362581202,1.1521718753320165,1.3949811682646336,1.1629325174036391,0.8104631461400168,1.3724784040283216,1.2181833500572816,0.9343001003716285,0.8361718571026316,0.6630248738251956,0.7911966791591467,0.868709464086521,0.6296824915581802,0.7374954336618309,0.8243088347448311,0.8156495870588304,0.7287020472699207,0.7895331903559503,0.6032082156009273,0.5648983894725287,0.5799265640542691,0.5403084408377306,0.7172373468950608,0.69802555430484,0.5585093287063211,0.5078613206849083,0.7750717297313767,0.42609295331011243,1.0287946200067954,0.8429047844645765,1.3028719927143693,1.4571995997942082,3.2044089998717795],[0.5875915559653003,0.5460268897069603,0.5305065996521879,0.3344123584790988,0.4621482093365093,0.5193743825104816,0.5711445922771871,0.6080479965955314,0.6085031768530115,0.5719344319746674,0.5997212693730859,0.5746316871353183,0.5524131657343989,0.571639510399132,0.6011246120614041,0.5222134602901835,0.5372729063508622,0.5558420939530094,0.7097565262899508,0.6159388635066989,0.747553328800009,0.8431210218630831,1.0467982949201637,1.2299021078728238,1.0642782584785995,0.810740477628602,0.6114796644780213,0.5157012454510295,0.5065190822863833,0.4877279922341021,0.558639555980802,0.4917547519869616,0.5140147411309268,0.5452336498631363,0.5165224125460797,0.5403142441201312,0.4769130290143065,0.5678044684253623,0.49861080606023717,0.6344147719032969,0.8449819355768696,0.6674206060050891,0.7292001673817855,0.8586287281315793,1.1902702755987022,1.4413778418495506,2.062286551439501,1.2900958607941815,1.3181244776999408,2.055807640197642,1.3868859700894827,1.4765017695365341,1.1058786876044802,0.9732167978420687,0.9860570924796743,0.9433356873495629,0.9571417455968682,0.7635921076312604,0.8059134837045793,1.578046236032446,0.9325453415725515,0.8165056960689648,0.7083967289244767,0.806282946416195,0.8237674861669528,0.7340770412262095,0.7959916182803667,0.6569721386290596,0.8349607718966232,0.8932294037842473,1.009319977535278,1.3645228487176886,0.9641126828174178,1.0313283635058144,0.743291066375266,1.118833264931828,0.6806910989307036,0.6502840578191148,0.5849447538128115,0.6569025190799215,0.54709663278984,0.6126672970374131,0.8470948362511177,0.8993245966756809,0.8254451895903143,0.4831104131264394,0.5391572956168185,0.6033048456557916,0.5603220512352528,0.6023870618870487,0.5967092959174252,0.8537397034184057,0.7762711178730316,0.5656036892816583,0.565228003891129,0.7029630033783758,0.8018463557173049,0.6106198159919204,0.5646251787560597,0.6287449878669309,0.5315527604199819,0.5868068773707649,0.4930908571209429,0.5584943919223578,0.8462316331156966,0.6352556939079378,0.7114297621451158,0.7859741641735255,0.6391420113305336,0.5820467583386837,0.5399470652171708,0.4908525158706655,0.4751760815522467,0.4134439479092236,0.5169059748105366,0.5146010697612057,0.5735626940178811,0.6013751067014481,0.7811410269424065,0.6221724211094973,0.6893908309338427,0.6282776715396562,0.6119940388607443,0.5076224457960671,0.5127248306855993,0.41365138695115905,0.5089668594618834,0.5461053042354974,0.5850259431707754,0.6567745811936975,0.8230929807457437,0.9436404866395443,0.9477354163012669,0.7573152833462431,0.7671834354060928,0.7800700887637823,0.7528058407298649,0.6531247965573785,0.4920759385355321,0.5019938471042893,0.5785474806246912,0.8796329835473026,0.5968079374732822,0.5090463859089901,0.5169193324298941,0.48610541043183564,0.4736127911516723,0.47780570975000186,0.4307352360257369,0.5397237027867159,0.5050515451145977,0.666831670382758,0.8236742468136214,1.2775202595979858,1.0468194587135593,0.6103896143515835,0.5440262999658257,0.4930448417855636,0.48389138754207417,0.5033345046288003,0.48498048390545995,0.47989790654232806,0.5054488092361613,0.5456888849024026,0.7403676137671382,0.8155840964853959,0.9683980783027821,1.32504319608949,1.2856103406601087,0.9805919872755512,0.8104492649858679,0.6163606406706091,0.6223251709044809,0.5699915389043092,0.49794013731993775,0.5035291780386483,0.5522825639623073,0.527105114338574,0.5456433492785701,0.5494172323263157,0.7720477403182393,0.5845577800800942,0.7952598033845352,0.991076051364145,0.8768937482259348,0.950105710850978,0.7553906561325127,1.0672073765462553,1.6816495000366587,1.569127925512872,2.006211615510255,1.3963473225906982,1.6041437421230025,1.508475363936576,1.3191167629957128,1.2823105262963985,1.1135831837701222,1.1248449103955107,0.9946166026612817,0.8940226835115554,0.7920223990585266,0.6218033023028848,0.5919004686354619,0.6515263191080068,0.6022974957375448,0.5792832519515673,0.5996338126955311,0.6266579098037406,0.6097246985412775,0.7123901481009364,0.7776724146422882,0.8019421153996136,0.8728388704730378,1.0427771538285093,1.0596967246687887,0.9519500265222075,1.0136424734519756,0.8411099861413773,0.7298815105307773,0.7554472422649886,0.7699181040750581,1.1357944643530242,0.9501999617386601,1.2290874979067912,0.9891191909978055,0.9073145577941565,1.0287809235021335,1.1335104870425028,1.2606327217702995,1.1194227229749667,1.1201975308036711,1.3565813659989805,1.2399606204332112,1.1829403876826088,1.6174132440848226,1.6489164371017453,1.3495783667560683,1.665018765659484,1.0591753852516914,1.062841482306948,1.0155164114349329,0.8808407846214962,0.8943231188869745,0.8381747466728316,0.8370518451453953,0.7662736519029801,0.6882254198810204,0.6712197407269417,0.7037186337000174,0.6192669333597889,0.6249039883581895,0.7375357717662323,0.6427900020222099,0.6544778592438784,0.7084744815794918,0.9442624428916316,0.7712977662429453,0.7373189837406326,0.6762764657698503,0.6255802184402685,0.6286607058560494,0.6502697629635784,0.6776034191606232,0.6351989219147596,0.7087253312570403,0.7314056600492389,0.6973931452732428,0.7409200872462433,0.903865421535726,0.8868440867677896,0.7642388504557939,0.983617084424893,1.1183689011036315,1.3505005233614087,1.1195246610009946,0.7773208993996832,1.3591462679180655,1.241165074071314,0.9720096013881837,0.8645102270878904,0.6818629258317636,0.7886465221811227,0.8811086101468947,0.6425452217119292,0.6993227216016917,0.7362510957661662,0.7451332635772572,0.6662445881582013,0.7280937616067037,0.5703226448175978,0.5462399236632396,0.5596579290108091,0.5281629715472069,0.7454973673951387,0.6960012417142107,0.5445675067981793,0.5106718288556219,0.8097737914681289,0.4157743238891396,1.0078755508181225,0.8282567350335024,1.393097846405509,1.361288627380909,3.064763385192872],[0.5044559203240164,0.5247451533405406,0.5626891747794392,0.35712996958789367,0.4897368846433124,0.5814439158426133,0.6400053700948263,0.6684138463827145,0.7033758251654366,0.6574258505081166,0.6858887976130501,0.6456814655220827,0.6110585524997627,0.6371365831853122,0.6551762970759673,0.5703155616843878,0.56465995443379,0.5687067525334076,0.6865520069683511,0.5909988900421204,0.7042593127457611,0.7890294153525771,0.9909646594266988,1.1714223184833046,1.0256698212533726,0.7698652380550556,0.5884412553497038,0.5064097372781169,0.5123416034907948,0.5109666614392269,0.5850089401447994,0.5271108235661947,0.5515385000858256,0.5646405245979348,0.5373221958112061,0.5469187927004103,0.4925774332743215,0.5586608117918062,0.49797150155282627,0.6465627416693506,0.8431874384421001,0.640670553777729,0.7073727225618579,0.8333256176020664,1.1441736629936758,1.4414757399649085,2.037093168527955,1.2645541282799557,1.3665509507963647,2.1250262000092124,1.374904845043729,1.4488451022362279,1.072482374096503,0.9849041108413463,0.9851760607962405,0.9187405764289981,0.9341387799613767,0.7491066310411643,0.7895957044976619,1.543100837381452,0.887933869569334,0.7780251345846125,0.6742914147052046,0.756269233438998,0.7642636949331385,0.7010338660712789,0.7613373449692694,0.6450282482595977,0.831310065528907,0.9122099673947226,1.0200406016788226,1.3636383487261865,0.9685937453052669,1.0179448325961082,0.7372247585412371,1.1000031932931809,0.6586651436188965,0.6391922118861585,0.5724087966774819,0.6406260335045352,0.5490727199189658,0.6195714394795989,0.8775129231433744,0.9266238146903714,0.8629667779847776,0.5051037370631897,0.5326813004315816,0.6087484787081686,0.5529547602673773,0.6072266163042163,0.5974195833016321,0.852142491001275,0.7895561824164646,0.5924971500751313,0.6076925326154228,0.7471120344094431,0.8609522111969523,0.6695169115004015,0.6247100584484434,0.6740937979013757,0.5753776923751005,0.6320451606431874,0.5330388073817749,0.5987225564996146,0.9073623093887553,0.6778367474940047,0.7492389244097627,0.8161020655573826,0.6733632076021111,0.6222233237793932,0.5501523983544708,0.5211326141932424,0.520675225088112,0.4556767309000968,0.5611593401511025,0.5387385116599216,0.5812267776061302,0.5866022062924363,0.7481302349676962,0.626698567818569,0.7020076976904007,0.6626632966894318,0.6460554326466056,0.5614897314619138,0.5880092143204162,0.4726807726699703,0.5525030248829089,0.5807980784117085,0.6144916785202844,0.7157998621871342,0.8842064047487734,0.9970409131240059,1.0338996195970465,0.8251294486348512,0.8659397248427207,0.8495123328774963,0.8453592671033499,0.7404464344650216,0.5516783709444956,0.5303568091062724,0.5616544136474171,0.8441491154189782,0.5592869869216652,0.4930193441696,0.5083956505514234,0.4886537803118296,0.4835371530699396,0.5141278823932339,0.47185505380046694,0.5971433233960022,0.5500957470432001,0.721488990356814,0.8402118815628632,1.2898758257391136,1.0798990645477924,0.6555562276487396,0.5941504554866424,0.5385018013200967,0.5296332121374928,0.5532254559277158,0.52984431446529,0.5027608349918944,0.524449795830091,0.5706815180795337,0.7713529979118906,0.8722902611213791,1.042499194903554,1.4098774753660377,1.3978691429430217,1.1110306848357172,0.9277410288968552,0.7001823587935556,0.6865612760635923,0.624020214143912,0.539480717800381,0.5526850987342624,0.5859540157428689,0.557709467288656,0.5801084064322192,0.582599560639561,0.8155257469013644,0.633678852269438,0.8470889748526694,1.0330231289196175,0.9354472718709129,0.9741161596608591,0.7874493038244478,1.10208869944624,1.78011699105357,1.6188218326251724,2.0244228414460483,1.4485648097230523,1.6831327520586785,1.6033119497840052,1.3935467853613626,1.3203097963767894,1.183912279099586,1.1588325819201173,1.013351072085207,0.9035732300362835,0.7898351390258365,0.612130881706603,0.582920306803313,0.63378852119811,0.5740467165118148,0.5544396340843242,0.5598884677355357,0.5950645489854787,0.5651361577423862,0.6746370994461258,0.7242816525611112,0.730859661390704,0.8142401133217146,0.9692881623311959,0.9706857190636132,0.8684074721143911,0.9331522948817054,0.7554865770800442,0.6598824153478045,0.6755758171507039,0.7026265532866178,1.0813326792341043,0.8819140834111124,1.263716857101896,1.0144317483686351,0.8900355656822097,0.992015066833622,1.1081762623187124,1.1632500458240569,1.0762565839612661,1.1113778061746395,1.3173092488189335,1.2284859026635928,1.1592085638151879,1.5838245126685713,1.59059996309228,1.3286626299451398,1.6551882985866309,1.0532411599749452,1.0889314222841726,1.032977782282292,0.8918323529547602,0.9147409690122025,0.8484691802610189,0.8577289401269433,0.7711043358195796,0.6819960917013373,0.7008451626624685,0.721537599700435,0.6036324349987496,0.5966594907013343,0.7181941843787272,0.6054244910544279,0.6071732889957568,0.6527313286393365,0.9094521973278747,0.7019290982374219,0.6567728617173971,0.6057833092097158,0.5698335367057301,0.6024781445693826,0.6377371560366466,0.6242522296580193,0.5950547444515315,0.6881925744377044,0.7075860536389722,0.6638540516642321,0.7300600091016632,0.8948077205010324,0.8541415746180457,0.7431909786839028,0.9720945951160014,1.0882011441086714,1.3805487332562443,1.1682366189990057,0.7780777454529051,1.381082884605957,1.2117075135216193,0.915592007712315,0.8298623014181584,0.6324453005304056,0.7418807210932916,0.8844804202419898,0.6113111949192248,0.6748039073924107,0.7449334782989987,0.7236295164704287,0.6560056931626845,0.7287997445289139,0.5783066840478601,0.5223693872689945,0.5490065303185516,0.5321439895112922,0.8196454986628597,0.7121177694366686,0.5440145064812454,0.5524026574597679,0.8487546246415496,0.4587113120006931,1.0121542611161278,0.8887929681198447,1.4777401144171123,1.3422154967989586,2.661173251772424],[0.5913634753540206,0.6010999621871126,0.7904362833637836,0.6366246269181237,0.7095596911528328,0.9799840991344401,1.0269262003272202,1.0309785964154152,1.0416634592989626,1.0142640375988101,1.0300636299576054,0.9988487387144301,0.9604817340147024,0.9810380248074269,0.9756383135908946,0.8949258887339855,0.8942067023355218,0.8982184868253329,0.9546777003151582,0.8694085298586985,0.9591574821702852,1.014944913268805,1.228124969809178,1.2970300620345872,1.2018900073588354,0.9662267559386423,0.8125217766013988,0.8356806300277859,0.8408757351036877,0.8229447899439984,0.8886632258041424,0.845687438341125,0.8751184638356717,0.8430965345575304,0.798965943502559,0.8134271967604392,0.7537803216974676,0.8369276380858361,0.7056868474769356,0.7054439357449503,0.8690938089080437,0.8225487297318012,0.8226698242294933,0.9033882464089152,1.2703445849634643,1.5822233515749002,2.0142923971005966,1.2796714376905896,1.3120724911289892,2.131511242421341,1.3989034872161126,1.4686463987621383,1.1074853541301837,0.8686664753465325,0.9943305731910504,0.9274249207586441,0.9912353922297712,0.8154472460362098,0.8596947913503896,1.5280871042643265,1.0011701272405977,0.9249296493948811,0.8289306755804177,0.9128491116008606,0.9304541405861744,0.9044237307794862,0.987181540720028,0.9271255728162426,1.0874820689208138,1.1638346885074877,1.2351322054987468,1.5017634567648694,1.1771185479812654,1.1780825961912733,1.0006214762353218,1.2011107474236622,0.8948664382012647,0.8950949905523834,0.8062286705908207,0.7942063464141667,0.7007394686078816,0.7029580071602354,0.8749350066850868,0.8300411693632365,0.7667041064133934,0.6281702183892616,0.7403845090049054,0.8027828865161316,0.7794889168225415,0.8514208439663028,0.8622723458421718,1.0558511706464158,0.9951098390422144,0.8894231367394461,0.9231370547094893,1.0251641109815193,1.131643241490163,0.9731086593900382,0.9367661258379767,0.9591393797948129,0.8948486816812679,0.8625641445010579,0.7461347128047835,0.7806254779954935,0.7974577868989685,0.7331337165108956,0.7340580641777891,0.7847500276968978,0.6662206361472165,0.6550574761891085,0.7104016938097867,0.7542545371446379,0.8775705108566945,0.7981310668147615,0.9240625047241958,0.9088842985196224,0.971366988717483,0.9290636603539887,1.0169362889756863,0.943508762106072,0.9987983048805262,0.9726542388558423,0.9802959888418876,0.9387138560448008,0.9681485101843836,0.8221938094592196,0.6911924089525894,0.7314268065858716,0.6267014995081343,0.6471385337081595,0.7700184216850915,0.8850235769230403,0.8742605248920017,0.6945088148956567,0.6963805592094878,0.7040676452959833,0.6929340044314392,0.6710138290749109,0.6914268772399584,0.7326848621517962,0.8359406900798194,0.9735950697133854,0.8221896656861085,0.7682291429752164,0.7066083086291632,0.7711674551202102,0.7979972546551887,0.7877228982400348,0.7791330039823824,0.9206063633190862,0.8449714023336264,1.0331738345900072,1.0994620794680066,1.502705645588557,1.273716668836747,0.9459810267416336,0.9153502519037425,0.833786890519069,0.8095090029905901,0.7358333330896027,0.6778709493392802,0.7047199171813567,0.6627968397665397,0.6407209609428367,0.7548493189382796,0.8281192466586761,0.8815648389546502,1.2365885579079907,1.2214467779613005,0.934443163969289,0.7294326480975565,0.6202769334295924,0.6224973159363344,0.6099532983627762,0.6108808959350025,0.617369199610151,0.7142425566525674,0.6871446786338598,0.6392606317930388,0.6375816414853075,0.795722368798602,0.618821294232707,0.7450907818984313,0.9174121418292553,0.8186646157805174,0.8984805439839626,0.7513560295404476,0.9577482575163436,1.818584584292864,1.3764797921787488,1.7917854384527807,1.2621775540188336,1.4697674272760795,1.4064393966169098,1.2427178244774104,1.2332611913815528,1.0708184325965553,1.0717996023817764,0.9325482784558663,0.8281670033962344,0.7394244455646427,0.6137263238504181,0.5878819430241873,0.6174881456679759,0.5920400453301782,0.640833620072541,0.6723308339604456,0.676146478130989,0.6972959930755613,0.8768002503910268,0.9134315743333631,0.904975917089855,1.0031240180976075,1.1889001630116884,1.14646390015748,1.0339184407650905,1.0178353910018212,0.8452921237482492,0.7283399519874246,0.7559891495920744,0.7455936486442103,1.1241525257597134,0.8919844034885133,1.1743321978787424,1.0214168684376386,0.8831031770135057,0.9706387583461779,1.0918289030247184,1.1595033772267584,1.075292372984966,1.0669304728795628,1.2949145944403908,1.2073766947488895,1.126517626671636,1.5450741439261317,1.5846890456889102,1.3188243010590068,1.6375499727743887,1.0063692362445469,1.0063590340786712,0.9593336945520476,0.8326369715635961,0.8520795782347221,0.8141268040239208,0.8535638055341582,0.7542815439140129,0.7054772243231875,0.7027898631821345,0.7216767987349776,0.6409850212839854,0.6750180472019226,0.8171661311909121,0.7425440054442896,0.7255338339624725,0.7870389261914632,0.9065356772942644,0.8557467516988311,0.7917960147884161,0.7313834662066546,0.6320017077076352,0.6203225581717894,0.6521574054683077,0.6646804846677029,0.6379743897955574,0.6760899132757521,0.7163917123509684,0.6942878425133403,0.7112671439879478,0.8873622514602458,0.8692871519183205,0.7549851934560715,0.9595086082705098,1.1031467518864173,1.423112885446166,1.2292725943439573,0.8180919790328985,1.463527785500029,1.2698775765779846,1.0242728957220684,0.9965775588489509,0.7873214230228643,0.9895591614490408,1.1657068622331441,0.7945517113229981,0.722265588425142,0.7202572719984155,0.6707151892062931,0.6036016688195177,0.6611205951337713,0.6187173461785828,0.6711031751326585,0.6627912040063596,0.6787747595865588,0.7827792012774321,0.7107022085723936,0.7736450508589994,0.6719548511799751,0.7869150820124765,0.7139184051987073,1.1166138078174335,0.9853829968076312,1.1136263708314558,1.668333505115086,2.7637508793770755],[0.5550561618579889,0.5582306880062508,0.7348841595914947,0.5027403284886834,0.6106573718703163,0.8053630217868301,0.8273870958802931,0.840909716220398,0.8392751659025908,0.7989916384235641,0.8111898015097593,0.78106195520052,0.7524556504308081,0.7547376391355708,0.7643486185075318,0.6906149258908214,0.702801938072019,0.7097526766340627,0.8358003983989063,0.7247259427778886,0.8456657459315642,0.9237643914859323,1.1575696467893788,1.2635342853013103,1.1308678565311188,0.8739530606423406,0.6860189363412509,0.656120567544526,0.653507407707293,0.6386620599430063,0.7035748978626449,0.6473392078922487,0.6657589720463705,0.662467361693916,0.6308311485246846,0.6537045061176548,0.578269534096392,0.6693638268851825,0.5664332228306921,0.6518052527198083,0.8195288493730492,0.7161802640921379,0.7504354346454176,0.8746108265095246,1.2367097931946354,1.4927546535429832,2.0243052444839185,1.2935067325661214,1.255269428629698,2.038737874131214,1.4129217294327512,1.494043851243846,1.137198001833619,0.9138175582673548,1.0016375145678538,0.9420378735915566,0.9781715740621486,0.7745278203962295,0.8173200927520107,1.574136926649345,0.9767212320105904,0.8719110775944223,0.7606251493362162,0.8526129819079212,0.8858285774915508,0.8036466845576523,0.8813794286317612,0.7793538282495658,0.9633445782210798,1.0154932106170669,1.1177802729912227,1.424905993117926,1.0498333415619505,1.1038158255725459,0.8496100331758321,1.1174763059736916,0.779089264192018,0.7526112926315488,0.6701087020171917,0.7042710353277343,0.6033330912959621,0.6390557365953511,0.822993907933978,0.9019839859421453,0.773955005637121,0.5261218232141733,0.6153054274866184,0.6701698018571429,0.6394895518336082,0.6927562551491838,0.7069195513524059,0.9360426868511806,0.8666634280075315,0.6876119724080532,0.7126737854921851,0.8266687889857982,0.9482881594977142,0.7750679350682314,0.7343714596933086,0.7747356308558361,0.6896181654939221,0.7079662012289952,0.6105898776336648,0.6679620108630706,0.8425634648794699,0.6846522070293166,0.7323778236478427,0.7923010044354768,0.6517388605034838,0.6232633505266142,0.6282243166703501,0.6315492653383057,0.6939300468503611,0.6133702274987997,0.724754125400793,0.7145622721786227,0.7567382699756516,0.7726246882989474,0.8992799082892611,0.7812915603076948,0.8434388580937334,0.7862438981168027,0.7994837114234733,0.7187605061029253,0.7392986233894532,0.6291716770665873,0.6164156973280089,0.6431922169563478,0.5953781543898944,0.640475892042934,0.7549450326486237,0.8880684613419885,0.8833659072233974,0.7099224744639264,0.6845369679550593,0.6794002765905247,0.6815636519131788,0.592639964224739,0.5062461592306448,0.5586515725590016,0.683235115570215,0.8936321976514475,0.6864599338115382,0.6178805528424463,0.5829999008151618,0.609390966767697,0.6245720428314707,0.6125120560608609,0.6082690651682436,0.7469232408856109,0.6893975120270427,0.8503517257066862,0.9390845596989723,1.3580872808398239,1.1300720144465404,0.7633946002553925,0.7267894946845599,0.6717184487650076,0.6490536339286963,0.6120008362950813,0.5680665259208123,0.5619970169029643,0.5562871691109775,0.5708087297835419,0.73542812289822,0.7620835576569959,0.9068159101950112,1.2539180320990633,1.2077573425949755,0.8661667102538513,0.7196725061340191,0.5677054995574589,0.5818011496973442,0.5545603622137079,0.5170796469525266,0.5394323593820776,0.6039455005673332,0.5668877775674003,0.5728990922291526,0.5749452966190847,0.7477906718567225,0.583442617097198,0.7691317661303174,0.9602902258788861,0.8321466801415898,0.935278463613674,0.7477594094439156,1.033186440649056,1.6736656153389557,1.4826128286683498,1.943401747251431,1.340417200579662,1.549027815914315,1.4531896535180595,1.2768647637701445,1.2674820836446372,1.056276413907588,1.0690012704761378,0.940176069467305,0.8279420326949443,0.7695333326861062,0.643072862120081,0.5991069996182095,0.6472487212276666,0.6286740387416216,0.6429273780886522,0.696212369979975,0.7089828412685292,0.7121259238719909,0.8622179043116269,0.93835754161397,0.9371807923046264,0.9909075769673903,1.1951515543751672,1.207125752390809,1.1247395711029153,1.0910822782583127,0.9602317516079506,0.8090553878204623,0.8381370074561825,0.8092740395520485,1.1634614841826758,0.9264624413526844,1.1348339263946496,1.050352885055344,0.9428814366955872,1.019693023179474,1.1492533267741418,1.2330808545045888,1.1483426735607623,1.1077192854431084,1.3514984425912395,1.2079587568382493,1.1738437824169825,1.6360463078470109,1.6215149907863662,1.3079832216664178,1.6565727100778747,1.0216235463456835,1.0460625594482202,1.0155719910546361,0.8840275614996885,0.8832049996248853,0.8634513997729063,0.8694745832455284,0.7801337641474142,0.7394530511736921,0.7080753042046086,0.7249028332363572,0.643893140606734,0.6603022180192345,0.7682163230705442,0.7210467101225915,0.7415475895600155,0.7674573662344598,0.8965422331460492,0.8666419378297462,0.8176816556363211,0.7716596944184213,0.6729666817611576,0.6574774436519706,0.6929882316178325,0.7156710499926348,0.6811539034288063,0.7295529141717723,0.7525317045996126,0.7386410267295281,0.7424865240631311,0.9042998390542742,0.8825922819379349,0.7760660483170675,0.9417656816267995,1.1027362456172674,1.3622330113442649,1.1810805282026666,0.8203305752483466,1.4425091077661303,1.379329971737208,1.1720130313695087,1.1073090419277891,0.8726285646946873,1.0147335486121205,1.1964887467599468,0.8829260647209702,0.8207643798543115,0.7193457723896016,0.6777879434168264,0.6102509124663209,0.6648635137845991,0.5881556566769907,0.6367015346719576,0.6209933802974178,0.6464048771444105,0.7142980074858484,0.6697679853466533,0.7183026976909207,0.6003162550542299,0.7631917045952228,0.6073313019576586,1.103618362001269,0.9467374514282151,1.1870101733749656,1.594273487815021,2.845216687515866],[0.4856650742850878,0.4942913524569961,0.6255021963429234,0.3861956900825127,0.5327203901326117,0.6918774990996878,0.7623397027890295,0.7803394914624668,0.8235892585833451,0.7980874300858961,0.8249423228604451,0.7749363916581665,0.7747344730586296,0.7915847528737578,0.833731964477324,0.7473024726199077,0.758276117556068,0.7751257469150009,0.9045250386514713,0.7940638381297956,0.8979155086145437,0.9580596120321863,1.1865733687289333,1.2953880274254639,1.1638141350534477,0.922507355154834,0.7558482887086296,0.7121213549858689,0.7132620284331392,0.6965408943201781,0.7735725685404868,0.6958768837935551,0.7243694934733311,0.7403829954852658,0.7162933572201448,0.7328381327430993,0.6500431186193077,0.7205711050695573,0.6462745557845129,0.7529357361681376,0.9186174660785287,0.7899144585955956,0.8273928284898596,0.9368068235320733,1.238024467536067,1.4291616232938058,2.075195735473995,1.3507882246697258,1.343243694450811,2.0264968257051117,1.4449184068979215,1.5402362302613808,1.2136198854636717,1.073354498458064,1.0994018333234292,1.048485304424341,1.04766208544194,0.8717688062829421,0.9056546666534573,1.6749390270490938,1.0319971003986936,0.9551638239708552,0.8662033182154791,0.9219215231186532,0.957359960588675,0.8723922874624447,0.9522588588232493,0.8601819639250011,1.0240012577960886,1.0784260247935058,1.2042429654879017,1.535662713320148,1.1367473375580317,1.1972905956438384,0.9253480903174356,1.2138257599880482,0.8781996722016988,0.8540834345312666,0.7748882165570633,0.807189569127829,0.6969786514924936,0.7431801752021749,0.9087165712521131,1.0173323655459534,0.9121000856027519,0.616275726589664,0.6866412767954617,0.7426680080910983,0.7417086190498644,0.7689177359317318,0.7991765764479086,1.0286313546019104,0.9751967811805212,0.7727238547162368,0.7870191688623658,0.8971277841326784,1.017394241579428,0.8361573304241394,0.7740763381534155,0.7686072577350106,0.7228382183303951,0.7345833331331056,0.6532038268577857,0.6999625529908239,0.9709424186829803,0.748845841240305,0.7943492225475748,0.8363886555426164,0.6724940686930984,0.6482153153780137,0.6000759360870537,0.6167558950505082,0.6586514583598165,0.6081395589479889,0.7444393615591047,0.7344227153035229,0.7556748982972485,0.8059798844830555,0.9677816285021377,0.8476973422096472,0.9102929406925481,0.8293424575145352,0.8224969354394532,0.739222297335749,0.7318247561263287,0.6458382352168074,0.6416854204898986,0.642453532805389,0.6129849645325864,0.701943059335887,0.792354537705997,0.9300659495890639,0.964032088068567,0.7907674789335182,0.7865957816952525,0.7394519266745763,0.7616857785030922,0.6605952199425239,0.5569136164742398,0.588538954691791,0.7005130085239311,0.9637894688603046,0.748744341521426,0.6716773455301386,0.6654694408151562,0.6751699513181172,0.6662195552656348,0.6740920135834639,0.6255352766552548,0.7442162962448972,0.673066109088668,0.8301039418805237,0.8975446491344663,1.3327827081794985,1.1418892016957711,0.7576140439824627,0.7322461375585905,0.6734564049365782,0.6742786033200536,0.66623311518641,0.637607224367529,0.6333010443377484,0.637501958819974,0.6627629857785137,0.8007594360854472,0.870744098204463,1.0041579466306332,1.3658310544298113,1.302505467155405,0.9554947904330253,0.8389743282224145,0.6762185173634486,0.6873901663923382,0.6604024727175061,0.6179858836357746,0.644109430642841,0.6953136950344041,0.6441876018251124,0.6767117953326968,0.657550351138939,0.7975315776130374,0.6788301874168108,0.8499552593974102,1.024354879170133,0.9228185409662837,1.0303951024336824,0.8493496812831312,1.1615179313300574,1.5989106119325416,1.6373489632918046,2.0847165325998676,1.4520863212218036,1.653494768698161,1.5454125537926602,1.3448798200403302,1.2980694704257025,1.09320344540449,1.068432885143712,0.9370151573826736,0.8218175455800227,0.7647463161947541,0.625405138672552,0.5773059977456951,0.6258680711330775,0.590187336284423,0.5897850873893599,0.6252164468299378,0.6500549943075369,0.6323261537656976,0.7572886218928389,0.8256321025948327,0.8223858182929155,0.8778023666485636,1.0534026643732797,1.071234428698789,0.9768197676941798,0.9950611528876562,0.8659807002160045,0.7362367334718728,0.759882940854201,0.7575386066488679,1.1329340680539532,0.8758896755499466,1.1386263997308688,1.0523625538082815,0.9310924373971371,0.995345829650372,1.1470446721110743,1.1902752571034472,1.1307841892944672,1.1063860202283298,1.3197313368428898,1.1850526340717698,1.1582580370214535,1.6434058743687354,1.57625078651564,1.2660353259796422,1.6358927768299825,1.0057581735969976,1.0614804869408012,1.0293431890111915,0.8978398189030512,0.9097626302592917,0.8882995909410424,0.8959443753951993,0.7892719348269507,0.7241934379091801,0.7289202116888954,0.7400408168341968,0.6110210605760119,0.608340434201074,0.727911399030199,0.6418588664267211,0.6575218449755756,0.6765660151449904,0.8689885740527967,0.7653479366129571,0.7192158068011866,0.680475919555658,0.6056451210346826,0.6190254816478548,0.6654987761460396,0.6623994156364924,0.6338865247928261,0.7006478848882273,0.7271341497496294,0.699840387196616,0.7251697871947941,0.888657483268902,0.8614526959169639,0.7449466676791396,0.9213951305392163,1.0808324099556725,1.3463874696869111,1.1754371749852859,0.7874979933465875,1.4354954031979037,1.336125053458603,1.0772727161749125,0.9799812500688774,0.7557093680065111,0.8652263832182518,1.0306321677753016,0.7568379869523874,0.7545264298376384,0.718223725086381,0.6650708438910797,0.6072084104771492,0.6573668500279597,0.569482495952153,0.5674892993764346,0.5689513997211979,0.5666881584911918,0.7855619419662693,0.6680892687807907,0.5949993752881744,0.52994859311118,0.8080016425305555,0.48313612941446615,1.0079693965668255,0.9062484893058984,1.390668298134053,1.4119954704736535,2.6143863477854303],[0.5392166662105886,0.5559510379696764,0.7488357289147654,0.5463854892646646,0.6570448008969986,0.8916477499152354,0.9351686673110492,0.9360401290885851,0.9813753357540652,0.9420805455605087,0.9543976605171448,0.9005520464349098,0.8759468561231581,0.8901609680802476,0.8914147568328429,0.8054234837470912,0.7974985288673583,0.7911370400422635,0.8856369383518421,0.7575499186924457,0.8593288281272842,0.9201838807853671,1.1274216037646885,1.2329473711945356,1.1101875317488776,0.8767431075383234,0.7006352544972209,0.7053314719579477,0.7198866886476584,0.719981239038849,0.7988442100264324,0.7320223515646802,0.7551596196877776,0.7386464193765024,0.7053351650953137,0.7168477944692961,0.6320083584524911,0.6771977876970778,0.5673072007834247,0.6391880916762415,0.821838404107834,0.7109154966253479,0.7414320835186003,0.8539638909600269,1.2080136795162297,1.4690914303071814,1.9832379926958874,1.256545605514563,1.2590268156219717,2.0657352251806684,1.3573860185395674,1.4621893080141464,1.1016827855742934,0.9360189045507199,1.002207861118403,0.9182620584932508,0.9576222410724234,0.7760042280511064,0.809095026977798,1.5488972527347584,0.9539237343584889,0.8636803827104947,0.7731754614346705,0.852124703028857,0.8743604939413119,0.8199610475326482,0.9084512250950221,0.835386846259229,1.024690400080789,1.0967209565795681,1.2025194059171478,1.4835455724891475,1.1188608806637572,1.1457405655171702,0.9142133522314018,1.1439282477373147,0.8164814499114218,0.7996040027424602,0.7077428278634926,0.7264504949319155,0.6194779708440866,0.6458371854922011,0.8521438114624942,0.9314195652092293,0.8124765962119209,0.5383096194463954,0.6206437868628731,0.7051424278298235,0.6885613007896166,0.7362737669679661,0.771706621541535,0.9969221339444726,0.9468019046068294,0.7833071169543157,0.8209591281764824,0.92307588039945,1.0645601140446004,0.8859204534282444,0.8422458138387,0.8537928669696269,0.7839356162926112,0.7922128171272256,0.6794093551256964,0.7421011239248009,0.960620418293823,0.7702914748191286,0.8160208193507505,0.852763655638584,0.7105705095842909,0.694362198895563,0.6739994030313552,0.6888326475350212,0.7869189838983637,0.7082737215084539,0.8431911439405798,0.8324863487312975,0.8372964401928007,0.8485750908707326,0.9558222279722257,0.8738176882050115,0.950360896804337,0.9035750955424281,0.9327882866265649,0.8621928525972136,0.8824405274531576,0.7718101365342759,0.7592513895628703,0.7119019053016117,0.6520045136850857,0.7096451345844711,0.8106924449468832,0.9464483900470853,0.9811013788933574,0.7841312932879823,0.7853742930658489,0.7199283516545613,0.7686842704752141,0.6320662176497224,0.5412329177776829,0.5709040292372289,0.6980534196891748,0.8761772167648234,0.6896195251706536,0.6341532961215486,0.5836768940990105,0.6513476232174322,0.6807883715447683,0.7079259245883638,0.6913752225469738,0.8526575685654868,0.7722626223318245,0.9430203117931462,0.9839333191306764,1.3733561610857188,1.174452492046531,0.8439252606967165,0.8251929082268208,0.7567123920254816,0.7354222062971189,0.7026756933752408,0.6308002115904591,0.6024687117657218,0.5724508464673893,0.5757198940491663,0.7235153082971869,0.8010058499800248,0.9800638171186652,1.3778222318070157,1.3577552880094985,0.991300850305034,0.8358168434109103,0.6207625075737716,0.627445202527676,0.5975823388015029,0.5608804559634789,0.6114224174481774,0.6785121964549161,0.6152831092372509,0.6073286307769218,0.6067686111647838,0.7492247863293188,0.648235920961454,0.8154738764903824,0.9980048102626752,0.8860673032551708,0.9497918042811452,0.7446932041255719,1.0398111127398975,1.7020814587484159,1.5574599239055753,2.0017388680783754,1.4136911281806817,1.6562114896724947,1.5708342150689865,1.3627880255879719,1.300548332394346,1.1298820236036404,1.0896443708840828,0.9613118404635476,0.8375481562615815,0.7957676178888248,0.6709076825751825,0.6265273702779409,0.6812172563522529,0.6467795215140781,0.6582496633196565,0.7041604619761768,0.714277502107487,0.6958597728553712,0.8305205961861858,0.881256755944096,0.860415708832145,0.917642607440026,1.0869600728008462,1.0701780783214951,0.9889610693672959,0.9834774079134937,0.8700059756644278,0.7657323296636735,0.7842801654754151,0.7983615901102433,1.18178440107612,0.9165846399538817,1.1734285642644209,1.1235988125610987,0.9732005442444001,1.0103909053954032,1.1534650207869528,1.1453620616929887,1.1347461641832752,1.1143476926561686,1.295296113574081,1.1936892669157744,1.1496523294689474,1.606602496157808,1.5299054957200224,1.2581980677095332,1.630525540879565,1.015720502103456,1.084353746392712,1.046477929705992,0.9278439268814355,0.9386061511714497,0.9283806375758891,0.9376582194466503,0.8243529062338296,0.7729754105192042,0.7911096744119962,0.792615147217953,0.6576725611044975,0.6491873714628736,0.7641966575722254,0.689041583138942,0.7033698781784191,0.7090081916205794,0.8516887417831102,0.7998096982341234,0.7486236915653259,0.7295958327625857,0.6569714376935637,0.6742568580570573,0.7297639349456545,0.7061840729582364,0.6906072033985547,0.7452891933334709,0.7801278956755748,0.7559404979556222,0.7759600443308463,0.9324918460034431,0.896756660942939,0.7971415336964606,0.9677474300246743,1.1055856885317137,1.403692100567689,1.2899701672704067,0.8839636010506704,1.4819446458968892,1.3460602835646698,1.1004496463274667,1.0387127617036627,0.8237856335167967,0.9460041889644871,1.1605903406507678,0.8797875371861624,0.8484061060040533,0.8302103109472427,0.7143117563450673,0.6552761445261641,0.6844962211692823,0.6218213331776137,0.6504019160562342,0.6391549000735358,0.6549466492111552,0.8270364094580126,0.7107824059397579,0.6967330874215155,0.6089736509800014,0.8213632364599452,0.6359739600585111,1.0560526184188155,0.9923395337850567,1.2956490815692243,1.679201756583304,2.4683241096728996],[0.5768358095342716,0.599645648027921,0.8394185584442847,0.6119543684174799,0.7556334150483277,0.9851757251542224,1.0049817693689564,1.0059322567002758,1.0276959978432325,0.9970417828454837,1.0042529834356102,0.9653781415675636,0.959907510178908,0.9456010478142025,0.9554010437182885,0.892597952617167,0.8920214767212727,0.9030769304095977,1.010146053386312,0.8950301224728479,1.0036495114782404,1.072491440532877,1.2833668158700666,1.3610633815333202,1.230591486355748,1.0130846960692423,0.8436631688021058,0.8488477383521656,0.8468598254704142,0.8287290994090661,0.891740199312192,0.8243584716110696,0.8394351870466998,0.8329083124042539,0.8037386726515473,0.8269058903643255,0.7394726166010337,0.8109098808507413,0.7053017348579287,0.7324537289168822,0.8863909140010995,0.8459753819383911,0.856411865122022,0.9643887801081816,1.3353802167517226,1.5844827176725687,2.0129282313037318,1.3279597367279043,1.2560615500846735,2.02002279617247,1.4338951759608973,1.5337590074003788,1.188643174962355,0.9415024788808984,1.0487250120855416,0.9845079651711266,1.0494913244262418,0.8686004478398748,0.9006344395465601,1.6142388146861892,1.0832402479700685,0.9974055171563075,0.8907486393473959,0.9780432060750553,1.0147291002701138,0.9545045875744498,1.0334451625546417,0.9520655331145113,1.1262781623739981,1.1726072257217726,1.2728633080033607,1.5341308014403385,1.1880497194430828,1.2338448906524075,1.0081282500363167,1.1952943019903843,0.9259485113456428,0.9071437890017018,0.8252907224637038,0.8384391442992882,0.7271871243310191,0.7390129541729781,0.866709530521036,0.9551071227461463,0.8114059320171363,0.6452222374002021,0.7512116715407121,0.8040898357141434,0.8055348821950232,0.8324329237689672,0.8666394299965686,1.070418314817483,1.0117100566164328,0.8614224242985953,0.8947345996856274,0.9768766740529076,1.1146894772835614,0.9384553620649387,0.9023803753004473,0.919920163842805,0.8628740554064435,0.8723266499061394,0.7856486761108186,0.8291203885563239,0.9993878765107737,0.84236773270907,0.8697763858045543,0.8953241123174961,0.781812555788489,0.7673074521105913,0.7733748091528405,0.8077384223301594,0.8932374766131056,0.8268788256451202,0.9338776079958577,0.9421897711395648,0.9644415596086438,0.9923510490881916,1.0778791806978727,0.9869389205488391,1.038841211648771,0.9698905780209903,1.004337561021947,0.9266438706365984,0.9401459772456443,0.8747163675518718,0.8274484644304767,0.8177578956154596,0.7369953240440887,0.7703024159624632,0.8136233341087683,0.9531727884977172,0.9494666879208989,0.794902903934658,0.7584613722422893,0.7316259308038752,0.7978297158846639,0.6949718701762121,0.69035180157633,0.7375275848002956,0.920101341427932,1.0310319595633095,0.870302665648991,0.8086198216656801,0.7329725381185634,0.7853821012541953,0.8167731132775594,0.8146013019641428,0.8109292810769346,0.9452052202319786,0.8615887768695731,0.9939465717862385,1.0395805887904581,1.3919677439970133,1.1892388285831483,0.9097197072885526,0.9076214199212147,0.8563685931219951,0.839474799761977,0.7963284466063296,0.7430671940153774,0.7281733485487598,0.7067254223042367,0.6801619146325979,0.7817883170741886,0.8093692633663275,0.9274073479720883,1.2764176342360705,1.2391937406487894,0.8443279864584048,0.7552157740516307,0.653837880863408,0.6567176238565698,0.6512575907232914,0.6468773682731178,0.6888332252692595,0.76718905357711,0.7052402748735555,0.6883297776376582,0.6769450777925841,0.7794227183383492,0.7097435333362629,0.8386816730008424,1.000957719472903,0.874896017986377,0.9771162760865815,0.7931994718364176,1.0478893766654258,1.633061474728655,1.4629392710954887,1.949765534888141,1.363495367219682,1.5912519739575401,1.5068545700293503,1.331729009021556,1.3141282729177584,1.1092839662127887,1.0992252753980596,0.9849527068411331,0.8590526524758395,0.8503997418285404,0.744325261569035,0.6999424956135673,0.7544269128365001,0.7366248679126606,0.7483603177865218,0.8181761578355004,0.8204429896968707,0.8018966072875462,0.9441818156266186,1.0115429638214921,0.9844056509560473,1.017181131846361,1.206210524584785,1.201077018200014,1.1363479886949222,1.0893518307711239,1.0223664400285852,0.8935993403780179,0.9050855097664363,0.9089705931650728,1.245285717708002,1.011108699845623,1.173522420038005,1.2146212757259023,1.0649793695558663,1.0821775194262164,1.236428897714965,1.2337844655377506,1.2311857097603616,1.1766413482857316,1.3667643263073235,1.2453724659118854,1.2239273215588304,1.685566353065665,1.5985925711790843,1.3026145491449523,1.6601859543173545,1.0587529418404082,1.1241765133494446,1.1083722783249566,0.995433082771797,0.9906192160618644,1.00197678476462,0.9996543880114287,0.8913095517412443,0.8514868040919727,0.8552491460757728,0.8614742221105793,0.7396145176678208,0.7278447304916182,0.8124515570734985,0.7726211539087818,0.8025272575721248,0.79218628892882,0.8714610402323001,0.898120533303271,0.8525999783954623,0.8436019018849863,0.7662051240808593,0.7693210232221326,0.8322393238371337,0.8107652573943842,0.7935682611994718,0.8365265297465825,0.8742878057547531,0.8620153185205703,0.8646185031103412,1.01603224598131,0.984035873134122,0.8969786537956993,1.0304078418137887,1.1864378668134565,1.4710013672727078,1.3907083864290384,1.0089658917025726,1.6248246822014538,1.499010108094991,1.2921867130274487,1.2190922395175667,0.98597714588684,1.0989949458010604,1.3258361640181036,1.070050628169192,1.0346398307374634,0.9322780942301925,0.7801360934332953,0.7102519852760185,0.727071179758791,0.7180259063928731,0.7561565657904924,0.7351369174083672,0.7755610169005243,0.8204567752824872,0.7694231571444621,0.8256365725951262,0.7060552740185135,0.8378262181173488,0.7415843494540875,1.1291441817911356,0.9833174452016911,1.177414745206623,1.8472038682275187,2.598713672140702],[0.537792581364996,0.5599029084545304,0.7999672159126188,0.5551685227341175,0.7268560960297381,0.9458117386669618,0.9887175320161897,0.9999266049509093,1.0300763329410385,1.0166306027953318,1.031179876365646,0.9787273073980728,0.9926924017081477,0.9875304651051094,1.020174184829806,0.956339704299561,0.9588672681382032,0.986309876220363,1.1176801347298617,0.9962036142621264,1.1091290921065557,1.1436270607502006,1.4100165268324896,1.4579399440313745,1.3348624441151578,1.117988701157935,0.9419817988964505,0.9371183340950083,0.9218284203826147,0.8996808603009939,0.9715958395070187,0.8869201710640308,0.9006337767502647,0.9172206762701832,0.8935976289495922,0.9193336069927073,0.8276674394086799,0.9042498891607137,0.7979712432697776,0.8246122187568857,0.9543066818336358,0.9424542866553184,0.9385437044681375,1.0373465817098253,1.3754523831445817,1.5704251000069362,2.069753852056052,1.3964717098998938,1.3019918059595632,1.9936170536068352,1.5201298237376193,1.5874803575702776,1.2914744500583872,1.063614983761277,1.1590228248740015,1.100387342915916,1.1295509705612454,0.9600886247416278,0.9973068534475632,1.7101129264706358,1.1584861360016094,1.1007908873436643,1.0106696381297633,1.0731591685371102,1.1235931865106323,1.0453011538187191,1.1444274123889904,1.0570767349655872,1.2229775477512583,1.2540441254515429,1.3839071241236034,1.66675735930138,1.2947228075269355,1.3511277917853013,1.1046347466083901,1.2897135865826346,1.049729086517285,1.0260423090647695,0.9407078883775479,0.9401157436086208,0.8341921212636462,0.8384838318901785,0.9305831396854246,1.0780873472351657,0.9128323885978478,0.740063750681513,0.8425515333206748,0.8948951787473417,0.9107489501807714,0.9262885785845596,0.9645810116414837,1.1643778512664806,1.1186131407387478,0.9432234606634219,0.9676677930022074,1.0459223332805365,1.1670483404264482,1.0023906971547563,0.9478608763658928,0.9311543515823199,0.9039362557905383,0.9012059480979786,0.828884842097896,0.8652172536614853,1.064115126889823,0.8878581174565648,0.9269396400644048,0.9430776861605263,0.8140625785867348,0.8006808622163604,0.7818279705663176,0.8269899098575949,0.9017343213522088,0.8539696060912526,0.9692280098570096,0.9875065832613583,1.0107853750950753,1.0769227943092958,1.1869758300054998,1.0803248445599722,1.1255005052844755,1.0327200617579708,1.053145439032847,0.9605706812411093,0.9484372359116429,0.9010785698155876,0.8445468184345591,0.8418625238486116,0.7699780501494391,0.8145919218544847,0.8377868408511934,0.97707994138712,0.9768024480533815,0.8442439875150444,0.8082930913901828,0.7526736955136457,0.8511844066976493,0.7218317786214618,0.7013642700251913,0.7692512275486544,0.9948498565182051,1.0938241351292841,0.9649470229238053,0.8875724937931853,0.8295408503683777,0.8676255085495046,0.881158787659114,0.8720942835242717,0.8480460113410316,0.9689325106674105,0.8744256233811308,1.0073480498031782,1.0404515610094343,1.3845468560394951,1.2056384906158824,0.9247688172381272,0.9311495223134795,0.8785936676200328,0.8755607076112925,0.8365723592812919,0.8012762753864638,0.8002908534984452,0.7921683878764904,0.7701002280893806,0.8469277092301355,0.8530849973741718,0.9608217648632201,1.272453132184854,1.2205508177690392,0.8381697413824396,0.8079595727175258,0.7334780742629455,0.7348112599707411,0.732619859971223,0.7296209013193984,0.7655566283503487,0.8329410694891375,0.7654755653791907,0.7710641171561802,0.7519031649426663,0.8319266292267231,0.7728537294008948,0.8884807460550234,1.0249944847824375,0.922120931755633,1.034441158784806,0.8728232313215627,1.1331595971177866,1.5160494989639477,1.540289669553095,2.0393928006948006,1.3914835519658115,1.606960440910013,1.5053677683553761,1.346110735178218,1.3452278069807793,1.1120440470559319,1.1053893126434156,1.005921062140673,0.8731760518984452,0.886163863123608,0.777439648748261,0.7244803613830578,0.7891620952698197,0.7722281795911662,0.762246994692636,0.8317960002997266,0.8460067068669948,0.8167416637865637,0.9380446997261999,1.012348533345523,0.9893327226207899,1.0064185523798257,1.1904619839743629,1.202820701502877,1.1440309919721023,1.1088959036411197,1.0639107991541454,0.9324595341036795,0.9442819722487457,0.962930129440141,1.2772717637512134,1.0714461860066682,1.1962949586225224,1.269921849548411,1.1276587054267084,1.1242466277957885,1.290891329144251,1.2918317671215167,1.2843465322392351,1.2246271958819615,1.4337707136255344,1.294684776813078,1.2743006847950977,1.7468657306537523,1.6443063847592545,1.3301673793569282,1.6553434301478291,1.0898197789837167,1.1533049262024364,1.1591454383089548,1.0456527006917131,1.0312229663728762,1.051334777680466,1.038327452811841,0.9277764975864091,0.8901572021647044,0.8847697329989151,0.8788793808414553,0.7597454265046173,0.7392641419480216,0.8094773289395827,0.7730165562066562,0.8161283071015704,0.7932649660177289,0.869226519079658,0.9037641334783325,0.8660119009791698,0.8661326421474168,0.7995390273343839,0.8057807035037111,0.8878360365305058,0.854732735458329,0.8303817094391682,0.8898580647489596,0.9309017670956937,0.910659260910156,0.9156216961014831,1.0748355879216425,1.0419697546383393,0.9525753879453663,1.0771305423149402,1.249424646862035,1.4959560070977023,1.423989732990265,1.0450885306029376,1.679629014658998,1.5586466883042824,1.342963195226645,1.2389583212275317,1.0023868615054141,1.086279802588578,1.3024110412879462,1.0702601078842477,1.0667948001300456,0.9641532383929238,0.8160906559196439,0.7289143098793653,0.7509426518166576,0.7250773805211971,0.7502551925604307,0.7431913137277082,0.7838758914090184,0.8257848766547837,0.7546141048246869,0.8035736241682485,0.6758979320198779,0.8226660904849095,0.6877228113446736,1.0976844316673995,0.9781698545561321,1.2139396454620088,1.774740813777522,2.5699335740047],[0.5869610769582483,0.5978686492037429,0.7990335560553641,0.5999371348261955,0.7280726476543983,0.9751100497071941,1.0386515181884561,1.0451973363548117,1.1162361403578427,1.1117087099044278,1.132197641489543,1.0671098065262752,1.0625121970356797,1.0883420343395471,1.1137903843314665,1.0248544504293982,1.018844933976158,1.027669202465618,1.1343756648030578,0.9802876022353872,1.0649730927875964,1.0636991882122067,1.3236987582680186,1.3664115694046877,1.2616741265247584,1.073747314934761,0.9062264957453641,0.945184457841482,0.9419380002634861,0.9297839312272316,1.019273498262254,0.9272745476147157,0.947121600605643,0.9414032966143728,0.9099673129617009,0.9263098373466405,0.8368987608686176,0.8769713024965488,0.7553834979372114,0.7908610118666435,0.9100883487267947,0.8771760178037156,0.8645542897370049,0.950368357631071,1.262209413700569,1.4638729187656816,2.0068461858394353,1.324641120236051,1.2997029657906454,2.039428590600392,1.4372517436782768,1.5390775053759347,1.222557501471788,1.0692566735481668,1.1401831755615446,1.037441011465232,1.0532831385501948,0.9021915747814175,0.9298483530626998,1.6458555770141692,1.080561681311681,1.0335169653494665,0.9703450979527553,1.0143837806380507,1.0478975448918417,0.9931041470350604,1.122716291018437,1.0696131853675093,1.256728807495138,1.3141651749699892,1.4441869193910788,1.7142979979002815,1.346352696025403,1.3756011289153625,1.1333103004837366,1.2951823173264272,1.0423525778085734,1.0229133108642376,0.922081151505336,0.9059432275892666,0.8089863320591096,0.810712522782668,0.9495859048821312,1.1272529109742753,0.9693947938039205,0.7268443265612907,0.8040247649844123,0.8894234115258779,0.8963482591051442,0.9298708594079266,0.9874054163154663,1.1938203133153569,1.164043265847199,1.00164742150243,1.0397060083338538,1.1293620959245099,1.2629980840534936,1.079028664580167,1.0214119157180337,0.9847086032423807,0.9449349130622721,0.9271817152662308,0.8374738586526185,0.8711136827438244,1.1056695955452565,0.8881882897987076,0.9625160269755885,0.9699933049915835,0.8081570726760786,0.8113927517815823,0.768599010939773,0.8175175240795453,0.9259201973787287,0.8896907746109546,1.0334680447514313,1.0554275768942194,1.0583796606713871,1.1244993198866795,1.2050232144044146,1.135509575653404,1.2058779220922176,1.125834700363004,1.154866610338536,1.0587668949723275,1.029756155921513,0.958217415372189,0.8971742740139224,0.8446874105668495,0.7717859722149212,0.8238884001534367,0.8950381162994738,1.0454047525286558,1.0879985193313657,0.9140736439017138,0.8952341115843037,0.7872833917847819,0.8885245163489759,0.7311159509815279,0.7213420363836461,0.7535578260368909,0.9785879352553589,1.0226619031330304,0.9204769510913242,0.8612809442860534,0.7927999362359146,0.8664419839605342,0.8918373121241082,0.9020300753535386,0.8630670157072081,1.002082123391225,0.8975860573858797,1.0574688083093382,1.062554581928905,1.4128398823526362,1.2645534645100616,0.9728680892495545,0.9806149980824476,0.9001287979103961,0.9001381287978005,0.8558397453267648,0.801750835975093,0.7944226633672345,0.7718088369277174,0.7464638441659185,0.845575116750048,0.8821028953804786,1.071227153106549,1.4684378132131952,1.421038234033947,1.010208367797265,0.9351382494524739,0.7778331601464243,0.7769191610988694,0.757808378883046,0.7394303605021441,0.7827522477074369,0.8404884322608432,0.7739690567430495,0.7899464837780722,0.7676304101412038,0.8518915885454693,0.7955875457447313,0.946616335793979,1.0973349602658886,1.002578779714662,1.065070696881825,0.8752083838999867,1.1487009069286607,1.5894523068851425,1.6646494487044146,2.122348233115832,1.5095343745288792,1.7557755056118514,1.6494388774993287,1.4542145569806173,1.3948176597759538,1.2075127514244235,1.165217090988933,1.0337084932291354,0.9015892163551111,0.8916148119244703,0.7836896267601494,0.7291837453397442,0.7730784324052768,0.7449051012239449,0.738785230630188,0.7829406601414299,0.7912084359182828,0.7657526999284565,0.8776398589239405,0.9288144289684261,0.9008540739269089,0.9387352946312064,1.104221237366334,1.08781442890215,1.0232186340540332,1.0049246613327316,0.9320551798824301,0.8336232643274559,0.8501450857733578,0.8872739993469344,1.2479503491303405,1.0233450509661768,1.1968340938962323,1.2489690765100334,1.1067024024983414,1.1087578869897121,1.284081810760941,1.2191899374981634,1.24234886330144,1.229257921349123,1.4038039936819375,1.2825352114003732,1.258998180672274,1.7168740948074859,1.5986240477805662,1.303332125136821,1.643647343239711,1.0959509213558505,1.2083118518953238,1.1855176156366851,1.0602691849975707,1.0745729800548127,1.070200762496925,1.07753087857186,0.9572892954509307,0.9072166892101031,0.9239140273032624,0.897910335395567,0.7519908679836314,0.7301949890507597,0.8137506886262595,0.7480947666215201,0.7813475813801243,0.7614388794516297,0.8644136870205723,0.8492670004704697,0.8057805714860591,0.8003141049290077,0.7521240638906171,0.7821338672900674,0.8644686686095918,0.7966444643122782,0.7803924795285123,0.8599538228736682,0.8894374496540647,0.8531022780549415,0.8793390885080304,1.045897761975453,0.9912665625587652,0.892034524572911,1.062239351374655,1.2227262568585227,1.4845794975784843,1.4222693083332176,1.0048351408306297,1.6176554268708365,1.448750979184339,1.1872706231389651,1.1064091630764352,0.8987576737364095,0.9930546614067386,1.2110877527107766,0.9775095904773301,0.9780174893215586,0.9557430498791454,0.7980760221534715,0.7256689408514041,0.7664831610071544,0.705713020466215,0.7208088487887198,0.7298181951393752,0.7466915980024145,0.8889312905373202,0.7618407538870061,0.7588996753523517,0.6763647592705067,0.8679394362034033,0.6986933843090615,1.066646214290986,1.0998397184035176,1.3840838680105656,1.8484606474386487,2.4829204074081037],[0.7545871318691607,0.7498584315004633,0.9809314352898736,0.8108403375120883,0.9242660646111762,1.237882562278088,1.2943012660883184,1.2861677628692607,1.3845150185097335,1.4176100065911383,1.4360149427890438,1.3491460024382542,1.3748731868413275,1.4050488393015652,1.408513830844906,1.327981139231123,1.3453488609531274,1.3726697840810047,1.4665093044061834,1.3047224972939393,1.3873943972813945,1.3998182624804445,1.595673312877942,1.608384400100923,1.5005062034884185,1.394701914788399,1.2244994513742729,1.2945680255490168,1.2735079574435826,1.2166083002224053,1.3259729682345711,1.1889703486434466,1.208739626126335,1.204819337187933,1.1494419441832595,1.1936724823806906,1.049406231368911,1.1268749999320238,0.9974936048165771,0.8536459874596996,1.0313746149044831,1.1452143637106618,1.0707192648267274,1.1518673130634232,1.4853104783446494,1.7359594184851799,2.014799652378285,1.3630446993846361,1.3004703296190672,2.008101255962901,1.423722191251121,1.5366865654623612,1.227407449532675,0.9932153486236025,1.1115412745673783,1.062695316109533,1.1675935995434956,1.02791395865404,1.0291179858157902,1.692866453586077,1.265535861891898,1.246679084927818,1.1860218688435704,1.2934579066964356,1.3062104770034924,1.2632520051195386,1.4309090971695304,1.3848878707355827,1.5825458679138869,1.6339036190218128,1.728682000920747,1.9472378967963977,1.6288184428105996,1.648351916469566,1.4335648744091856,1.4950479625714197,1.268543299735666,1.247789145262958,1.1304979334675074,1.0865120331918143,0.9476978284410615,0.899785037880349,0.9755096495444103,1.028290081985772,0.8926186836264205,0.8508081007828243,1.0041740992610801,1.0480928060816264,1.134960116562351,1.1601851276698212,1.2415150308344622,1.4219350190863138,1.3958946029668828,1.2800253058419326,1.3293752467421212,1.4086592168168157,1.5483132717531263,1.3185737329568308,1.2579964240935102,1.206865612516067,1.162259500703336,1.0775473201640624,1.015934930221912,0.9898218058879793,1.0928499433189267,0.9439646448189304,0.9750681300970163,0.9955754236289684,0.8690363180365983,0.8722909928127336,0.8994324866798369,1.0043302897336157,1.1848670749600103,1.1771249950555072,1.3561256106181978,1.4210145163865875,1.4496239566501812,1.5344546420420486,1.571496327278255,1.498558238212244,1.5554895886596165,1.4662694915988186,1.5176487464869168,1.3954141564165337,1.3482142933381898,1.2528068850479548,1.0710694455365166,1.014333481468548,0.8622926053154333,0.8564366268090271,0.9294903618947691,1.1075263727860511,1.1166281618212541,0.89594633909108,0.8487176206202904,0.8152391868011404,0.9300341694148413,0.922475793341318,1.134077270456984,1.160722309703919,1.5191076245982946,1.472445244061336,1.357096832780303,1.2543910021641713,1.080016066138648,1.1592376372035342,1.2099585346952744,1.1676687942287225,1.1119655377082407,1.2655012537946757,1.0972575660167625,1.2591004499234868,1.220056306379131,1.5434186502233265,1.3870001352736978,1.1607860987071656,1.2055938112254407,1.1015685402791389,1.128825619264061,0.9984859527299726,0.9705548918830957,0.9961350233863633,0.9897347611038556,0.8573217058593516,0.8362281042952517,0.8850419796626018,0.9682680399992551,1.3899444488901964,1.4308925295712605,0.8689339947141593,0.8261550397844722,0.7973568832532474,0.749795904223451,0.7603120527052525,0.7991791526145514,0.8342347311812873,0.9884218782704925,0.8421957724498604,0.8088105589730501,0.7689013473887765,0.8237114220158747,0.7911324346822179,0.8906111678165193,1.055805934465827,0.9213956769846011,0.9783522949908623,0.837372472205454,1.036349662030353,1.665879273984014,1.4761825120610914,1.985391691667996,1.4121650106840715,1.7496246744181043,1.695112635841763,1.5484697515848742,1.5333180286177517,1.3294514008911715,1.311269776853299,1.179337582221523,1.0013261674053364,1.0264965464020253,0.8882941470217492,0.8310849086726139,0.9029890233439238,0.877302248688857,0.8530677629784942,0.9245224833354782,0.9301637961499536,0.8904327622357444,1.006369958260992,1.0536375670548346,1.0149889871272635,1.0556210586775956,1.221389229151445,1.1796634220079638,1.13832333456558,1.0704336947717452,1.0523166330883644,0.9640772620016222,0.976947217607019,1.053421633481718,1.4008031129511047,1.2223673626705247,1.3011890701204971,1.442705640350804,1.305588420248808,1.2776084330821544,1.452162258690169,1.3724738628467794,1.4220285716582048,1.3842917642984847,1.5680260011439568,1.4691300870061645,1.4456126925545776,1.8914366430373382,1.7966550738276137,1.5002376386181218,1.7925221398593782,1.264046494117007,1.3360167638122662,1.333439585153933,1.1988137627117437,1.1637170650294493,1.1752104876888663,1.1399216594291695,1.0298391643465348,0.9853529002436462,1.0105710926164135,0.9937135494916778,0.8620261536966594,0.8342188009834448,0.8912137769522727,0.8481336615445902,0.9004657563749816,0.8588595911522764,0.9120602667023339,0.9606428654313772,0.9277548496452819,0.9316706027284307,0.9053087773243145,0.9265309989437981,1.0257554277701562,0.948461475677949,0.9268976960261011,1.0180930536351942,1.0581931741690747,1.0184095055623776,1.0467325040792765,1.2397701870304745,1.1723505346559466,1.0580471953611321,1.2569818341359602,1.415714217736272,1.6686860467088156,1.6568730579766702,1.2163214562678561,1.813919067169003,1.5576801898323143,1.3374222778641511,1.2454201671276155,1.0563191542847854,1.1437043072442832,1.3618501245056092,1.1673821481175033,1.166041201891561,1.119815627312927,0.9577131449611717,0.8456788914293272,0.867901797296689,0.8314149294118869,0.8615269893495368,0.8495917881398908,0.8900504598574346,0.908716371434648,0.877480581631701,0.9440471603356636,0.8491641726640338,0.929399582417175,0.9406274066244183,1.2192164780018981,1.173427205203911,1.3039083522410664,2.158751433077067,2.5883134005603363],[0.7864142446698318,0.8084092969947306,1.095382184297995,0.8173105314394447,0.9851029748910645,1.2266560335955152,1.224580233656557,1.237801800948484,1.2465849693740427,1.2242219087126895,1.2285876706482883,1.193752294569442,1.2154744657799308,1.166431097039289,1.194810465834751,1.1621420930589281,1.1633430417252493,1.1939254800762276,1.3045518468802682,1.212451419974387,1.3165168638855966,1.39225138152103,1.6028859652350578,1.6529340508558719,1.4870782682376205,1.3202551919470598,1.1678782097795075,1.1680165424960922,1.1469987727219193,1.1183351158865937,1.16831157928652,1.0991095834872253,1.1063667654682652,1.1217711323103239,1.097229176308098,1.1273719637616688,1.0324133379605862,1.1053762552612725,1.015136640793502,0.9780980219856559,1.0990854357395787,1.155335815586734,1.140721954564249,1.2439697371064438,1.5938745953714033,1.8368243914239062,2.10991835765677,1.4654374056956896,1.3916098993567987,1.9693753218991918,1.6038441073552525,1.6329565266359674,1.3769854613235266,1.1074470236029155,1.2464808556480285,1.206834139625671,1.2982227449777028,1.1254019069081922,1.1422205821823304,1.807739138061121,1.3330769228694759,1.2717196112133846,1.1801939691500865,1.2646073141906737,1.3159218888177326,1.2467994454820421,1.3360333704686598,1.2499784385005048,1.3957888878422746,1.4027311157768294,1.49495786422693,1.7302947744896349,1.4200168022653867,1.4862660457540442,1.2773872920163512,1.3889143851032968,1.221025959417538,1.1958648435902186,1.122480645331445,1.1155509918051352,1.00067965299219,0.9871732395399123,1.0192446857244712,1.1399929070839632,0.9810156511680934,0.9267668400527505,1.0380063063821443,1.0776839983049709,1.1042363532705017,1.1015603794828048,1.1451943500030433,1.2997481154406703,1.2519217651961916,1.1235598831475033,1.1528626739807777,1.206374270326614,1.3281307035461425,1.178188503675145,1.1419115493850334,1.137379963377342,1.1138465283096766,1.107843409621302,1.056875643343409,1.0823416538264372,1.1821974388209755,1.0738665423688831,1.0938114054277022,1.0950425514381477,1.0316304536514271,1.02581137496541,1.0288007822494618,1.0813269339435567,1.1600198360756024,1.1117968745565585,1.1887598454843338,1.2102678544851484,1.2374252123641782,1.3035759402684401,1.3694226338782918,1.2839432269673288,1.301333617769923,1.199663149334034,1.228078705083586,1.1496150109498442,1.1599684684783178,1.1501651616132016,1.066935221299283,1.0993959930288448,1.0188686624546135,1.0159007326804554,0.9870602162306263,1.0864644159063033,1.0579519806782025,0.9731800844730507,0.9526925758017792,0.9506475632950165,1.0993066851807867,0.9875959594684122,0.9958638787810501,1.0597901896769646,1.332704932354833,1.3735645621825157,1.2315125363892374,1.1529928662078899,1.063488665408217,1.0911347056411136,1.1160277081405772,1.094660234712153,1.1045459146917556,1.2125987453148206,1.11525472424217,1.214348223198611,1.2364672685184612,1.526946921934588,1.330938041541818,1.132012211453948,1.1537264505541074,1.1142939158974383,1.1096026998527562,1.0608941545910953,1.0358356621180622,1.0223338612068953,1.0277844011354618,0.9666197243388672,0.9877497881542004,1.006230204018032,1.0108006141714982,1.2270047427554234,1.163882263276437,0.9307633992512881,0.9298881912853072,0.9562378290496913,0.9065141898509087,0.9090575423874444,0.9202107506390554,0.9468936292816772,1.0244725854941363,0.9468614583475015,0.9269521307319869,0.9079206737507857,0.9346207906246651,0.9411664748553595,0.9899396797995911,1.0685708901649902,0.9817925958311592,1.1105553752495356,0.988290127517424,1.2201966727538853,1.545971085126256,1.4702528886342328,1.9881345307467633,1.388731230501184,1.5912998052328178,1.497695616799313,1.3853768262508557,1.4227076825555107,1.190833397425088,1.195711875002478,1.1607219075421178,1.0238342990788065,1.088052772586851,1.0023679901435372,0.9749628448975904,1.063750135990337,1.0564533176749573,1.0332648361414352,1.1378936884777164,1.1457994730001644,1.0998518124534336,1.2000885660802687,1.2793335848237202,1.2502792787659744,1.2295082407485134,1.404886550146977,1.4325481041210801,1.4117398458439938,1.3495263654691498,1.3647242922019518,1.2433280281096124,1.2448625228225323,1.2704631060358598,1.5433809844739592,1.404483101658208,1.3895042683379277,1.5536937704832037,1.3835177894945214,1.3204781724039885,1.462550409603046,1.4497631198017797,1.4734960411827598,1.3882019249933568,1.5999255507323815,1.4675230206511383,1.4334769774987248,1.8464148360550603,1.7612274828108498,1.4612819583320833,1.7137365168193561,1.243988366604242,1.2848133502012467,1.317612534430941,1.2359107975366663,1.2070406173181378,1.2600811252044677,1.2140723438039802,1.11734784974746,1.1238148360418967,1.1043963800680106,1.081770739722389,1.006229407197344,0.9896690742307775,1.0243245985712857,1.0231957500674709,1.099327957614749,1.0419042054994574,0.9979643718045319,1.1685352985550699,1.1393045466480023,1.1533958133138522,1.0957590330186149,1.085650819080246,1.1887888365225907,1.1486455384744643,1.124604973505033,1.1597717001720618,1.2222841295504367,1.2161260752926835,1.2008132707493773,1.3258461272415871,1.3302194119641686,1.2682960139294137,1.3383894373894905,1.5062861203130653,1.7668564644730005,1.7707686598686145,1.4241265325463335,1.9707206601302079,1.8429692810255691,1.6783799495195009,1.5530746736269954,1.333920461433937,1.3679442922007743,1.5973140230552176,1.4370877943035332,1.4778250201538472,1.3567374973309057,1.1279147293344531,1.0018513766658268,0.9798470803741074,0.9891087372235203,1.0148718692343233,1.0185154382460784,1.101293099383738,0.9764215317971869,0.9504906711763963,1.118670993669582,0.9666418839515731,0.9092415852756407,1.0204706687181182,1.2859988384540577,1.1918911156461311,1.2356788482757832,2.204110753813226,2.5989601278478185],[0.9007204224887244,0.9341130649475098,1.229364919331851,0.9353758967909779,1.0549917895265475,1.276365969628371,1.2093363357566203,1.1981383461992015,1.1986252138049043,1.142889167313568,1.1410092584582505,1.135604087974503,1.1250457320055915,1.0611591332280805,1.0808314336531222,1.0462687969670856,1.0485135318699084,1.0651586051754827,1.1927806570083161,1.1053993276421643,1.2106155253594588,1.29767875752278,1.5341565526877046,1.5795404726711082,1.4331886848830853,1.2161617859670835,1.0710869302373998,1.0489108335221131,1.041042138560448,1.024230457582935,1.0569544585433046,1.0330120108129937,1.0413449757943458,1.0436436395233428,1.025428902732448,1.0455878905598939,0.980706284364108,1.0493775602076312,0.9744761468251237,0.9553266028679471,1.0724543709479495,1.0800817759715406,1.1052443587608445,1.216922326411182,1.5656692585622507,1.832899727187973,2.1252106879505397,1.4712623261281217,1.4010235027129299,2.0334792583984904,1.6236976062560178,1.6287286978032056,1.355787617013389,1.1349286699635204,1.2608978726977191,1.1780957532545746,1.2426676645522916,1.0763178385858974,1.0990325451906562,1.7157896065302438,1.2744725958310494,1.1898266821135004,1.0880388543272004,1.1934862677476898,1.230764883449792,1.1592414348077422,1.2186099895115383,1.126107550901015,1.2681381733862753,1.263821350446189,1.3380222139983062,1.5628562394944399,1.2685757999799012,1.3579443382389846,1.1520553315519029,1.2629829009338018,1.1299596445808375,1.1059979530237314,1.0444131648730877,1.0435978799430803,0.9861862446047708,0.9761236334744582,1.054922588090656,1.1890919089834135,1.0043146252504553,0.9179535832101607,0.9979004888797066,1.0538396349333938,1.0279921943750994,1.0486244308541466,1.0409015274173272,1.189248957016638,1.1267393091737363,1.0237321999116287,1.0490640333578856,1.092133931882203,1.2190545555573824,1.0997465654238756,1.0779231842238894,1.1185037590391367,1.0466517152780555,1.0805146484391508,1.0144670813296046,1.04303787133917,1.0540011714348474,1.0490898906346395,1.0361816369675723,1.063710302197478,1.0333407648470214,1.0170714013146647,1.0545236618744298,1.0740222163670672,1.1235209380905802,1.0547623198564966,1.100787722092959,1.0870028200556354,1.1178986242296522,1.1511114480954032,1.2172641198244736,1.1270743565957753,1.1498088938479931,1.0748747192040606,1.1030579644982799,1.0544753253893064,1.093878914831386,1.0811347896342072,1.0079708150826157,1.0786291809705582,1.0125513164241804,1.0206230222245674,0.9742948206856588,1.0421331112405183,1.0070555438310533,0.9474749595296976,0.9191208621692563,0.9637612071700105,1.0564996234341226,0.9778740620686448,0.96828266686934,1.0026984788565603,1.17802485804762,1.2303049721776822,1.0850095660935155,1.0452912931697234,0.98190248281663,1.0090094145570279,1.0380745191971277,1.010444922916553,1.0463292065537495,1.1496173623054025,1.1056563253542995,1.1743647455959039,1.2061985579740995,1.5506326166233582,1.294260340539476,1.0996288747787129,1.0937693679491227,1.0786813279312522,1.0609597028472337,1.0046456169134985,0.9748134553379808,0.9683005235935791,0.9677479044386321,0.9368932245681236,0.9998595222899076,0.9877921784320267,1.03566073928207,1.261637113267587,1.1455677085132514,0.9427093919922661,0.9044234536011242,0.9249790611261055,0.8848328175612555,0.8845770017943657,0.8868788482978943,0.9101010906286294,0.9850277601677689,0.928527062939293,0.8967659698034414,0.8875239504453525,0.9577455954114968,0.9154972397338281,0.9895028278726711,1.0725249303657942,0.9900869838523314,1.1027977599311183,0.9757281975311957,1.1903278805314237,1.6715423368260403,1.4916947920368726,1.974311005409994,1.388032624806829,1.5601620061174941,1.451840215896929,1.3290333053096517,1.3788393394185663,1.1484231881892135,1.1698707716711816,1.1394966632171555,1.039656313291846,1.087370537876221,1.0360058263445193,1.0247337324589383,1.095739936859872,1.0985789598279763,1.1099689019511376,1.2165622805733256,1.2201476616023523,1.1876518435128012,1.2982196887430058,1.3860452884123107,1.3605243062815908,1.3379239419287987,1.5289300845912872,1.5580045186368974,1.5374204335255688,1.4534512714439267,1.4437017732090454,1.3159089878369317,1.320066908881122,1.2947622549660673,1.5298818494307893,1.3955799392173425,1.4323627546557172,1.541443205163333,1.3441909162025898,1.2743751328174366,1.377120953759452,1.4149276189555777,1.4080309109202922,1.317079594775696,1.5862030745981408,1.4252725750772055,1.3663496392464844,1.7309913472399332,1.673435022570249,1.4266242905392186,1.6676650841004226,1.23052027630972,1.2543241522246333,1.2779816609951873,1.1946758964936484,1.1738805590108,1.2185799745907386,1.1905691510091732,1.1281371996298355,1.1764692517739899,1.1222175488255965,1.1102095567283796,1.06342180604566,1.0673158518961905,1.094589646136986,1.1285686718303598,1.1937401607015432,1.159694611746608,1.1064704260397233,1.2836564551198086,1.2369620606909328,1.234245542256043,1.1535318253650504,1.1285232386619062,1.2140617040662582,1.1830961770012949,1.1721707986766885,1.175613792831941,1.231255044151162,1.2392852057152444,1.2012144367878117,1.2943848364246637,1.322610589656268,1.2896242752778297,1.3154991830679958,1.4807758393239447,1.7869150397541758,1.744684328057576,1.459871438309494,1.9701525661844006,1.9008531019228858,1.7644253480088978,1.6550198611678884,1.4295568363589912,1.4806410939494719,1.706959877905524,1.5395924269695285,1.5582099159890719,1.393984155619845,1.1562483511287127,1.0382477375998076,1.0136102759726595,1.0282006747292955,1.0739460444728819,1.08490670988474,1.1980072745514858,1.0080499596276815,0.9959421580553789,1.2443934820996387,1.0966375096791707,0.94373139556843,1.137378782889089,1.3672218496868114,1.322210043978428,1.2586562243442323,2.164840476822349,2.6149753666609867],[0.7492041844707951,0.7535357417131674,1.0088548052771007,0.7627668323825023,0.9505426944812744,1.1516149768690167,1.1967808344024036,1.2157432726991795,1.2443310963394123,1.2499184349979697,1.2635972446018293,1.2092447271824107,1.2451262358914275,1.2281313595137031,1.2553990076525512,1.2136055169193207,1.259027273185125,1.2845649219031752,1.393980594251419,1.3177412662901542,1.4521716807329268,1.505261608668414,1.7575178278538865,1.8041676705701062,1.6194719513328921,1.4400185932143303,1.2777054930071259,1.2509819967998113,1.2252997853540657,1.186054538016049,1.2351741699074026,1.171034524537707,1.1810846874173848,1.2002394969323693,1.1910053688497393,1.2274428820422676,1.1195923808007473,1.1990594564107728,1.1364976964632245,1.142884795827013,1.2494891252682778,1.27658055969449,1.2648134709229923,1.3496854067401256,1.7015635273066085,1.905516817613937,2.2423265888819834,1.6107825782727911,1.5354220260014968,2.0386502748206095,1.7977058611570902,1.7682808055187356,1.5495148935842404,1.274869124824222,1.3801058285624452,1.397421305343255,1.4382864363574603,1.273331740943179,1.3037813557291225,1.9293224101340538,1.4838277672631135,1.4170506109312777,1.316659503290214,1.396311141567241,1.4450144071639264,1.3770259693741405,1.4672370152888334,1.363970474786457,1.479249877352712,1.4866586936256376,1.6017031693681865,1.8487271817417104,1.5065166371864491,1.5717248498949334,1.3822752418098325,1.5379146872789426,1.3433380612422314,1.325083670817731,1.2409687038518014,1.2483650306151193,1.1500198118537428,1.1483487008624034,1.162292633948604,1.287410358380374,1.139526909302584,1.0637260371442385,1.1706165252636735,1.1681114640384067,1.2229777669290673,1.2157035438949806,1.2579084913896599,1.441485570069206,1.3610860842342758,1.211691671223068,1.2311328215088988,1.294728277487075,1.3872467221070033,1.2428695551790052,1.1857798256652452,1.1626303451746627,1.1722815195368375,1.1348360669653779,1.1031870599889722,1.1365050024338497,1.3141421223358942,1.133351163565038,1.150254787179812,1.1448480021675735,1.0580398580146189,1.054912772696623,1.0465648249967892,1.111420246619869,1.153896872564529,1.1073696437958933,1.2241739546853438,1.2693721938273046,1.2940113326387128,1.3675876529033286,1.4757146917493345,1.3718090155079985,1.3866879749986618,1.2894271157025976,1.3016988465495738,1.2037703873385317,1.1772798194149536,1.1454769336820767,1.0822346505183404,1.1018695955751578,1.028390315840603,1.071010687128856,1.0380906868986999,1.152533101743555,1.1352855381672726,1.0682561803258352,1.039662173912049,1.0144346727999811,1.111419689722073,0.9825229152486573,0.9902623773287333,1.1017445509132904,1.354776215327728,1.415964511946513,1.3224784983437776,1.224354593261593,1.1630348741840815,1.1766819582171324,1.1830423794866198,1.1348406398707847,1.1367370840730529,1.2154639858690564,1.1173612697253417,1.2159485091386693,1.2473996885506986,1.5433041514590584,1.3596465321109226,1.1503889782040402,1.178276985613184,1.1377740827569292,1.1414141532859847,1.11663084461235,1.1000580163809737,1.1051381574825878,1.1173968016556675,1.0942305843179023,1.1186565388699117,1.1408494693545215,1.1620404300818448,1.300495853959722,1.2402691493950733,1.0394836274976704,1.0462675084972788,1.0442600263867037,1.0322567846482391,1.0374553302708858,1.040999501355968,1.0542900079993525,1.0956560974094023,1.0731450042548365,1.0592388654611775,1.0546024520910768,1.064341056688881,1.0717334861160757,1.1331816064054545,1.2305162043085502,1.1409023833118797,1.2857927598038414,1.1639929289977493,1.4176342485790419,1.4946253534170617,1.553428775470151,2.029019583665485,1.4904125779308668,1.6069576208436231,1.5277144267409306,1.4338089943167311,1.4411639697511582,1.1978909642794178,1.2254276963070108,1.15962369993671,1.0598748056725522,1.1007134638823484,1.0131274373545682,0.9650431664219687,1.0229824019079614,1.0212339620633883,1.001271122162187,1.0719999892411844,1.086417557507835,1.0574568451162523,1.1602408338751014,1.231510948230889,1.2081803495587409,1.2126605364215322,1.3802051679967116,1.3984211397043405,1.3586941538069364,1.3046003411598517,1.3107080636937527,1.1799315008511706,1.1939832883474761,1.2308947940645771,1.465750602559928,1.3664565304129686,1.3315695985776395,1.5025064720056345,1.3995595979518591,1.3396237907320598,1.5267903618292795,1.535336161512723,1.5298442737720022,1.438851467726176,1.6617314426684002,1.5044664081270767,1.4876238866517932,1.976158509948441,1.8868583019595664,1.4981373659549844,1.7722566830818456,1.2492725124891007,1.3095456384169992,1.3425503760298712,1.2394259559879948,1.2162125104835289,1.2647152611019725,1.2682056014942182,1.1542408139397562,1.1115048757018655,1.11736698461811,1.1280558959068259,1.0101380918339884,0.9913429730688743,1.0333558972907588,1.007479101419449,1.0655364036343937,1.020669562341975,0.9896685811012655,1.1190155967287174,1.0954735327976537,1.1055116303747632,1.0619813203549695,1.05620604195718,1.1540155024144683,1.1150528416134342,1.0747541906500186,1.1335124916359018,1.180590511033203,1.1559234759117225,1.1383011205521838,1.3052503834641096,1.2776881640636792,1.1952271435418886,1.2815265670496248,1.4665437952611275,1.6549911503168246,1.6449424306762004,1.2914842438947352,1.8946545400673562,1.7555630933881818,1.5940668911735354,1.4923377570533327,1.2582957455526904,1.3081955550466358,1.5140081106060057,1.330903176027085,1.3485864804560757,1.173748117528963,1.0517497137742502,0.9556190170474224,0.9643805652436918,0.9883731853653389,1.0043429554493886,1.0076632880834773,1.0583389977129005,1.006466421961837,0.9991976416212169,1.050081014565277,0.933138059516911,0.9850298103653015,0.9259114448672084,1.2971370496238395,1.077140963045631,1.2837197052954876,2.1662225487843263,2.913693068234761],[0.7929595449624365,0.803105475049908,1.0462753135631409,0.766691225079964,0.9137335211036031,1.101907569554706,1.0474844376056016,1.066371814980808,1.0362916586197988,1.0106940647075433,1.008361912250361,1.01997580559553,1.0281692248402743,0.9649811876595117,1.0007013199542807,0.9960845061194962,1.0128079457786596,1.0471316184201833,1.1901265502118827,1.1509768668972393,1.2757489045169879,1.3757381203305237,1.6584606728490188,1.7002861897734443,1.5813414431125634,1.26927723162484,1.125674968608664,1.0641754535376289,1.0454331209818912,1.01191393740321,1.0248862182697625,1.0113528818313,1.021857818350578,1.035045989151078,1.0274452210162128,1.0683178598265175,1.000510597280463,1.1302440267441585,1.0785213377770249,1.141039109611669,1.2150835277881944,1.1818713653436064,1.2547915012019601,1.3721929867965614,1.6904828638815366,1.968489343526998,2.2833367251065724,1.6517627716899328,1.5647882702007059,2.211613378487943,1.9032909663117923,1.7788122571086478,1.5520014662099693,1.3298638151235478,1.4259290116716612,1.3712948783853307,1.3900577287054934,1.213709548494609,1.263319563529386,1.7998494775765685,1.3935727807925942,1.2893101163556677,1.1740430895499487,1.2756063879050425,1.3249085345545895,1.2556050073165976,1.256201284945186,1.140567503302052,1.25854705125324,1.2262494634778254,1.2997672474645117,1.536334462736556,1.228922529311658,1.3473215126915785,1.1467837882129577,1.3001814918903982,1.18101009564394,1.1560659495720087,1.1142678719421828,1.141780489288722,1.090089800793767,1.1161527334927333,1.1440751529393636,1.2848592983504268,1.1284161453467845,1.0269656744749054,1.094930643318367,1.111779010784192,1.084259043298824,1.078625269463839,1.0558730689137799,1.192083273360015,1.0959620411643602,0.9910626430193473,0.9909643131175128,1.0354494821551794,1.1227863818067478,1.0190450581588713,0.9928299094873149,1.0295580275909137,1.0032722222316908,1.0089648438376835,1.0177675250644906,1.0201115848396998,1.0130575562075188,1.0313184633593455,1.0360465974986814,1.0641996141380896,0.9686872959039077,0.9691997269153921,0.9673377427935209,1.0130258240723529,1.0142441297993032,0.9623603523725747,1.0233375250326904,1.0308574280147398,1.0905118745897675,1.1288926273727524,1.2036253928694138,1.0903360980116317,1.096473569912956,1.0060281238244801,1.0251277391832414,0.9483289443924837,0.9634372899925245,0.9557714326043387,0.8721364242450658,1.0042367119873763,0.9582810334728101,1.0017467967796814,0.9890809736504573,1.081230614698601,1.0755170926539532,1.0289131393753512,0.9990449732151571,1.010226393278459,1.0172105642545648,0.9643165547698765,0.9336126878426622,1.0175409947518834,1.1749330691962454,1.2606756590773058,1.126037617660752,1.0784385819243671,1.0458052964255513,1.0341064389957948,1.0354081232768495,0.9714379461662925,0.9990230374820916,1.0463934100084584,1.0066634095941982,1.0514425216471004,1.1127564488610229,1.4508453304236921,1.2003158641741802,1.0083333304557778,1.0141992312731003,1.0033948367517311,1.0133709573216378,0.9740485940302649,0.9886584006757025,1.0213016886523612,1.0331466147682826,1.0600991324254099,1.1610776901643987,1.139073292705622,1.1998570061835114,1.340194865576261,1.2251766655636191,1.1010181433086725,1.044962465817415,1.0276593303066874,1.018679212893526,1.0047672355340427,0.9816758216332634,0.9610804337099162,0.9990216388661791,0.9982772840358308,1.0199070602120495,1.0148787809063,1.090871839724793,1.0019057458496754,1.1322546243249794,1.2474215134431903,1.1770822509124201,1.2989287432382122,1.1805758445416121,1.4118389368890114,1.784002082450063,1.5897827119498218,2.03988579782421,1.5249381859025881,1.6185840716495694,1.4952602630460494,1.405231856387123,1.4350857586134629,1.1539784004959965,1.1689636238220684,1.0825429813336593,0.9992727255456595,1.0117555238546079,0.9457349333680798,0.9100835762277056,0.9540344499332066,0.970232552318536,0.984513198101695,1.0860616371621457,1.0926972631913903,1.07659458971876,1.2073116529812926,1.3197532287152451,1.3047851018761376,1.2952944125787065,1.509716195516299,1.5519368119222525,1.516674784969217,1.423022493401038,1.4355477910812562,1.2473416318646564,1.2656758889116917,1.211321985710093,1.5157722664806819,1.274320875373448,1.280354833486947,1.3850213655532164,1.2842974856993956,1.2537978739250097,1.4103095977974218,1.484686106508935,1.433431440265743,1.322521567823303,1.6027898682785098,1.4088237725581907,1.3809558137513016,1.8393867781994435,1.7700495268329601,1.4025786539038259,1.6813854025481585,1.1737206460255876,1.2332235425031297,1.2574944675498425,1.1400175639828267,1.1153704189833011,1.1715559800096862,1.1262059694779634,1.0555416401287887,1.0462385186436216,1.012127670444265,1.0201645759002171,0.9667542517563564,0.9732167110872729,1.010547936098576,1.0291036552516437,1.0893931439254771,1.0782046561368617,1.0619207983175756,1.1809320780526373,1.1560423369208885,1.1512972660320875,1.0607234339062321,1.0226111684140935,1.072470938310998,1.0970697429274192,1.0604545575967796,1.0770089741170914,1.1060046471916016,1.128071682524653,1.061898729547054,1.175509014739659,1.210989254692243,1.15120586462975,1.1575324150861626,1.3435416201127055,1.5748362530652136,1.5281994609480865,1.2965334516410734,1.8978394238482017,1.8868552239077627,1.778710818603693,1.661588086475243,1.3696893115983262,1.4189563246022066,1.6599984860851609,1.4511991526935692,1.4552742014970386,1.1068362680169128,0.9707759905906629,0.8917192066724758,0.9033746069235151,0.9257308152917277,0.9735284996329733,0.9732863971980528,1.0816178489967825,0.9218813746400277,0.9085354897927627,1.1090026013495375,1.0020490089817582,0.8833545127557737,0.9817537387694129,1.3539178826022602,1.2006487686813376,1.3886327854206537,2.4097437881656236,3.3451355481463314],[0.6496470705859927,0.642869729343959,0.8626478283412315,0.6001467076456224,0.7480070783464497,0.9148530169361372,0.8959596110287691,0.9182707423282659,0.8867587819847946,0.8508778669178975,0.8563809901934599,0.8359957778729552,0.8438754320556757,0.8120978964603208,0.8351434542061864,0.7923283136656885,0.799955943043719,0.8377901038211135,0.9970972679277579,0.9085814995249172,1.036467354758922,1.1310696452597875,1.3889848147177968,1.454466907055204,1.3119678783695206,1.0518504774029536,0.8803676283573978,0.8247175310180713,0.8104766810421238,0.7809338890172406,0.8241342038113144,0.7714526729242906,0.7713928085253815,0.8063572712460257,0.7891879831581164,0.8168796449549787,0.7456000193319703,0.8574229634119714,0.778124048543375,0.8395220218383932,0.9514872889474488,0.9211521275846122,0.9524160868499656,1.0787969433280054,1.4463163808424606,1.6804792179230044,2.107986318469958,1.4262377040461724,1.3227904852620578,2.004208137875828,1.6024645126819927,1.6122114578729831,1.3251331153791752,1.04279388344787,1.182242766949455,1.12351423225068,1.1553874188790954,0.9631531634353747,1.0041143353540907,1.670676915517006,1.1436097313653524,1.0454086205094961,0.9288640476665944,1.0254736278458383,1.0802608840504218,1.0009713981921662,1.0429215773680407,0.9289829804489119,1.0800055191099187,1.1003554399147533,1.2038992735426928,1.4924722422681391,1.1323241195272697,1.1997764450773296,0.9693519564056138,1.175360699244338,0.9514493053980855,0.9211801334178312,0.8612440249040537,0.896138567027778,0.8018045134789494,0.8277506390551544,0.9137197635487669,1.0519595182296495,0.8891545764421187,0.7325638229481842,0.8214986658624519,0.8420268012376301,0.8282598284554775,0.8278372510325298,0.8385311779953063,1.0297518549014857,0.9569180813622168,0.7844256568759788,0.7972062013489253,0.8691790676861103,0.9920147363502386,0.8453381948220098,0.8089993414250186,0.8461117981608155,0.7924143993808418,0.8479416918584985,0.7931648484174025,0.8463842542788853,0.9835186008702834,0.855334651413871,0.9214880281908037,0.9584952191828716,0.8193459132473859,0.800822686743928,0.7823724451169094,0.7950331897918362,0.8266714554273049,0.7583238642636146,0.8312002348754132,0.8374300945857118,0.8899805504013828,0.926262477269965,1.0532554308533593,0.9083726934035908,0.946830962799427,0.8549687567059079,0.8818314758427145,0.8037158273585421,0.8072417548083375,0.759511702379353,0.7233666172699189,0.8047885025847622,0.7706648976286294,0.8163445208675851,0.8634290781470505,1.003094371238324,0.9742885714738091,0.8649190623869194,0.8066909845714605,0.7968222132460434,0.8200362475843738,0.7320366258439455,0.6680272678672372,0.7328472938064317,0.9059737731513204,1.0501060246144573,0.8783527258149822,0.8166427934011907,0.7766426988990311,0.7791463636181946,0.7883901042064406,0.769436586236925,0.76898876189269,0.8604517782448389,0.8094526773975295,0.9048546121904371,1.010451564217431,1.3587667664749643,1.1134348292444516,0.8431198464732226,0.8236091371212612,0.8043168537373369,0.7941728898056676,0.7628235653978593,0.7480903526995885,0.7534958542175044,0.7514991351090244,0.77073516275157,0.8953301619358903,0.8852206082078077,0.9980217632731322,1.2360690435982649,1.1478560791423176,0.8732329763501963,0.8129368146467303,0.7389247911509506,0.7545784252877572,0.7397433402363133,0.71564803230919,0.7294206550388326,0.7690020417562616,0.7520700809887575,0.7532958329586876,0.763839954814256,0.8657162189845315,0.772997641333184,0.9427560043175391,1.1013966175431484,0.9574727383497234,1.0893314135087664,0.9043868909661863,1.1829347704607873,1.5838692413733302,1.4763093301507808,1.9637791591351395,1.3953264502010438,1.5570929917910559,1.4546241501409887,1.3406171224604804,1.3879449778235673,1.117961922541578,1.148441437329543,1.0304806844822287,0.9150647019812607,0.9153215183893831,0.8088724086604352,0.7546815064740269,0.7963758190287307,0.798547642953461,0.8007682110261252,0.8744513411532523,0.8820364759603428,0.8763090341275569,1.0090318155788605,1.1103266450684233,1.1002283547357872,1.112513816315905,1.3351701904781677,1.3678852202789231,1.3082214807161636,1.2329693311094656,1.1871197017894968,1.0147689974975411,1.0437070286400008,1.0077833035166925,1.3201186711076984,1.085245769280143,1.1801128680816413,1.2352085940208282,1.1506431021800658,1.173433399067211,1.3403768221573262,1.4125126618295798,1.3369456636597778,1.2655306984570616,1.5215473839969975,1.344653182231923,1.3352709083831071,1.8084136132196722,1.74790807529272,1.393001616958502,1.7012619297533815,1.134670528557879,1.1701973048885284,1.1914461164910612,1.0606972635026015,1.0368886853368897,1.0544683847758418,1.0188212074668306,0.9446920326207114,0.903478423103263,0.8667724538332554,0.8799176272212987,0.8065328744000281,0.8030859275393993,0.8569925469678157,0.8457047609291064,0.8951062139658881,0.8919116036054658,0.9603869405791952,0.9936200032252314,0.9657417861684126,0.9525471902405748,0.8725589656553787,0.847841699337817,0.9017095933889785,0.910513054658857,0.8686790126341645,0.9191244014225445,0.9356075852379789,0.9345699465262662,0.9114341190034386,1.0494719664550625,1.0420696079341776,0.9536258989052673,1.0505505314563501,1.2365220769895715,1.4200542554692435,1.3100021283144423,1.0164805545929507,1.6531371652928037,1.6327213267632303,1.4901732666227026,1.377628491092112,1.1075669395760515,1.2042759061940125,1.4208726910312914,1.154583291640648,1.101589146206848,0.8371457596769109,0.7968570451958548,0.7426880984622933,0.7773836502556631,0.7585803062017381,0.7985485689661075,0.7804020400793255,0.8436709622861189,0.7682805021709348,0.7673379705138239,0.8762702219886473,0.7594774094088551,0.8125434360209878,0.7463593852882495,1.1910871360157644,1.0301507249398774,1.2106756572158726,1.9961569108194532,3.175907520336207],[0.6458268862437749,0.627972446413782,0.8355352504224168,0.5688135527258527,0.7292412734244248,0.8927606388287497,0.9190891460634807,0.9446334576699668,0.9212490233026859,0.9075269727227523,0.9196790587935747,0.8962744948757192,0.920259190339842,0.8880860489268048,0.9277532700000386,0.888403491123573,0.9023626514339155,0.9466715587191318,1.108461753151311,1.0171792590512065,1.145456032511575,1.213596775711964,1.499022819658522,1.5356164989654164,1.4135900799905319,1.1523973346518785,0.9793972820073584,0.9320232694993288,0.9098787867072666,0.8763780907459724,0.9238951529942714,0.8638385713171308,0.8691069409929811,0.9002432760946643,0.8883454671479538,0.917530480299141,0.8327305937280407,0.9605770090567773,0.8778097305860293,0.9389302775629251,1.050010971004758,1.02650823873427,1.0401211817828349,1.1557876203771638,1.4872128936313675,1.6737676852935486,2.161631781985901,1.5240653987894581,1.375775981276,2.007344871994848,1.7027520021620275,1.6580697949043108,1.4345866047133655,1.164095066110883,1.2842010985673546,1.2437202633408007,1.2296150970975968,1.0452794001883123,1.0939899642751645,1.7675531649050098,1.2180150730382353,1.1546857945216789,1.0435425530267006,1.1340061217096524,1.1886809329344437,1.099982943165171,1.156806331722658,1.0501530638916103,1.1905591473072565,1.1926704824679295,1.3155489625126613,1.6172715383057326,1.2399764026926594,1.3306624364665096,1.0805595659088862,1.2714049110155499,1.0652421361499933,1.0391970611019865,0.9764362670772452,1.0009969850772813,0.9087142508127044,0.9311457057321098,0.9645161333779178,1.124647983205614,0.9665214553486331,0.8165004650263938,0.9112858487337214,0.9317804741679592,0.9309792797965095,0.9389369466439329,0.9475150759711106,1.1240460543180775,1.0738403815660846,0.892865380907578,0.9064592173512005,0.9699400722593997,1.0848532887979643,0.9301053134620527,0.8749124182588617,0.8905589820207017,0.861487577456711,0.8829373604041746,0.8372462787460211,0.8773900659082611,1.0080744481916328,0.8872832598264668,0.9311852853079254,0.9594720701381575,0.8290485005282271,0.8201921107385786,0.8034584906766266,0.8356032649943554,0.86739767693853,0.8160740819812329,0.9049272022190814,0.9255620376173086,0.9631355603825242,1.0285795362058714,1.1709024011776943,1.0275581175351622,1.0594355631500743,0.9477495597716074,0.9615029108197701,0.8783911945205356,0.8649644488083934,0.825781561921304,0.7504798339928398,0.8468362443025306,0.7861851065957224,0.8445110552122378,0.8531415969184756,0.985799529964664,0.9647937219784882,0.8764941155722265,0.8260136442681314,0.8036451925375867,0.8677073182776985,0.7600929739891349,0.7124777761874492,0.802719478489075,0.9981656005695777,1.1602938292448062,1.005060259693393,0.9232770434808746,0.8895221503133333,0.8876813899184686,0.8798721521869493,0.8362981901386166,0.8356688192305987,0.9237767198589586,0.8473498084265882,0.949293976328789,1.0429994777976475,1.3984612379888433,1.1726490584576712,0.8881629404123602,0.8809014853040333,0.8528831991694431,0.8559963214781792,0.8278989468226098,0.826858044228521,0.8323614517130369,0.8452629325335719,0.8545031037641706,0.937687507880252,0.9417772252200767,1.02402682999407,1.2232182859189924,1.1311662197453127,0.8739551255600451,0.8446715283016784,0.8131582143622983,0.817754959054521,0.8112136034512908,0.7963051519297266,0.7996941762218154,0.8305178983028865,0.8189246410982316,0.8389328305838316,0.8267470580946744,0.8913772594402825,0.8274757805585716,0.9632552112601444,1.1081627992980503,0.9937811177238118,1.1396453882649298,0.9857674041691292,1.2739271371852643,1.5159714598100704,1.5405436629001426,2.0298477587291544,1.4160907673366492,1.5544314444069487,1.4417631829358573,1.3301868382150737,1.3556518679479679,1.0721283633224337,1.0964266341331905,1.0094592724913118,0.9037022208544152,0.9247979662699477,0.821131951463192,0.7654326913511266,0.8180818476055606,0.8230191080947604,0.8107709440309316,0.8837911693806844,0.8975734734488277,0.8884547466546268,0.9989576655173001,1.1002809073966036,1.096670991754781,1.0912800091056258,1.3028271573513492,1.3461099120040203,1.2960425183398445,1.2383838719340974,1.209574555840376,1.0406347501958653,1.0753608030628434,1.0651528024976293,1.3894773819463924,1.1450351282955067,1.199040435805516,1.280662245953422,1.1993695843154557,1.1832784205261424,1.3626377567712005,1.4384426935705834,1.363704122956872,1.2738033647022187,1.5600874177613504,1.3714999468492701,1.3412565259502123,1.8262756492018053,1.765561592976987,1.3914612336030783,1.6687345162239438,1.1235710409303148,1.1593757388811154,1.188345010173483,1.0603012531337777,1.0351350755228492,1.068282237672152,1.041208553533253,0.9526942464537972,0.9258896728889237,0.8809523424504964,0.8840168575025954,0.8159935643557645,0.8091034507754135,0.858217875976097,0.8468124746394553,0.9048425591025556,0.889096340738681,0.9319239409369212,0.9904635399327153,0.9744037906708063,0.9678848646918272,0.8980219296537619,0.8722285546377844,0.944152676832028,0.9453659362857535,0.8939229945173036,0.9507679364942331,0.9804930299359178,0.9729596664275981,0.945656712529923,1.08844365197858,1.0934519846058486,0.9959166690092585,1.0782787957311715,1.2813828005461827,1.434628109444522,1.3421201521719928,1.0500204682335341,1.6793799892264438,1.6264402216357423,1.4899236022812832,1.3543606441761935,1.1044138182582013,1.1754902249915167,1.3680325285099115,1.1327039092607365,1.1054566122869516,0.8645192435794056,0.8213319224947612,0.7435457649645187,0.7745331787559283,0.7590478261629305,0.7887678332220949,0.7871214195202108,0.8508710726644122,0.7703935414038704,0.7559656935364357,0.8662207118281883,0.7335240853741195,0.7958008636316237,0.7085608160110136,1.1695488548425497,0.9961930060655679,1.1894115864379577,1.8882163931076106,3.11192740759102],[0.6918421850644874,0.6909386614093858,0.9211100406105406,0.6276724444103929,0.7971018005066716,0.9311383832850684,0.9470458540668486,0.9890690956180255,0.9174465655703486,0.8883124279798399,0.8927796072090988,0.8958221897836425,0.9143501875811387,0.867236908209813,0.903915378111659,0.8756569289812673,0.884644108933424,0.922257945790615,1.071982457607932,1.0108802311960943,1.135450122290439,1.2099306739904843,1.4850632206944399,1.5347105882726921,1.4317001571401056,1.1478342980403033,0.9792594385442043,0.9201315155771131,0.9025043538384746,0.8937674358441435,0.9090719486313489,0.8884530046962807,0.8945592231501245,0.9064038351197452,0.9046592633805027,0.926863797877849,0.8657625569986666,0.9947660445533301,0.9187712779602812,1.0085014968734523,1.080250367005961,1.0423216390294041,1.0682610206547936,1.1937612014251706,1.4873212042564512,1.6564820822175543,2.1712072734790167,1.5616942418230069,1.4197593829433024,2.039395010493593,1.7600335490316834,1.6934211355030186,1.4913243620874774,1.25232385178343,1.3606822510668202,1.3118702390459769,1.263634750432118,1.0772960402832172,1.143211756870033,1.7764772995291622,1.2216939649616256,1.152524511705559,1.0543620879820341,1.1488401707445324,1.1912956526414322,1.108724768660797,1.1453398942324493,1.037658619883519,1.16433776271691,1.1669201683018597,1.2718381794523506,1.5866300441955776,1.2159230956390776,1.3210491179335553,1.0614011311627254,1.286628277579604,1.059496886054129,1.0320810738059576,0.9913462617511319,1.0168186572158506,0.9560195729214974,0.9998786922964381,1.0572816554406375,1.2104925446340862,1.0510816295273513,0.8912074576258178,0.9498551293442965,0.9735850508591128,0.9362601054278433,0.9523542312637826,0.9423141312842787,1.116031795186757,1.0592375301594712,0.8783437116363593,0.8863879585883682,0.9449054802732726,1.0658979676934637,0.918287647181854,0.8826377470013927,0.9214843098085811,0.9114962312118967,0.96226296635233,0.9178645642786024,0.975936362422013,1.07635561493406,1.0039592076635122,1.043114909708253,1.0940796416192824,0.9943035040571375,0.9590774117898738,0.9231031301259626,0.930934297317271,0.9270641805916008,0.8617829676078785,0.9042777002354168,0.912422205700483,0.9500894729225926,0.9915677608774877,1.1315072821931913,0.9850401015060268,1.013745680376598,0.9219308960146758,0.9319841873425031,0.8597127430916308,0.8678754557267198,0.8571857724254222,0.7730506325272619,0.9263209584262876,0.9233067014267136,0.9824145385078492,1.0071917899415266,1.1221619680831,1.1017142523855838,1.0270218858576985,0.9728060408622271,0.9342857373289403,0.9939221946834907,0.8693180941840035,0.766045748933268,0.8334815668314441,0.9725884588097664,1.161732689211567,0.9958114085301892,0.9302592976929017,0.9077266215550589,0.9097308140849805,0.9014433318779864,0.8727135403153881,0.8874281519606239,0.9569508579524957,0.9284179709011285,0.9951577847181304,1.1229957463042772,1.4445378431668456,1.2074505773753066,0.9433965252004678,0.9176645404758699,0.9302483263360914,0.9060064629155801,0.9032620876383617,0.8939988454524906,0.8946743168716724,0.8987125358865644,0.9283202479370035,1.0154948913473891,1.0240394501108048,1.1180746184855443,1.2816249056346412,1.2068846416694465,0.97288431187796,0.9625781391839605,0.9134218661255542,0.9331804169613,0.9201037014955049,0.8915909400658885,0.8988487143154641,0.9001195626051829,0.8948987775905242,0.9211838932943522,0.931481411603695,1.0032054537492874,0.9397226907442976,1.0931726538124191,1.2269783180524059,1.1090288583700272,1.2117308590720144,1.0676167205473084,1.3659404755156812,1.6407436070038584,1.650985770771876,2.0984533055601102,1.4884682290455429,1.6385632433286859,1.526218224846267,1.4247191589478834,1.4664164314666148,1.206016617294025,1.2137595963253207,1.1300110218543193,1.039949384181277,1.0640083779557545,0.9752706213469624,0.9286207975408094,0.9795886496475493,1.002901257208104,0.9797072502525217,1.033152959587453,1.068882752379549,1.062933215970326,1.1447522323720725,1.247884766538352,1.2721833645259175,1.2504124980765632,1.438737410405104,1.5185032082077805,1.4521087412961176,1.4351592024802466,1.3932226061214115,1.2361961963677812,1.2788102848883403,1.2538518298035906,1.589668117309001,1.3210056201967393,1.3253225241164084,1.3930572418188276,1.3184757591111935,1.2839398227277254,1.4612625752708555,1.5848611299788888,1.4359248293066302,1.3584507704002737,1.7086422843505285,1.4715768346595617,1.4099126101053594,1.834785142950917,1.8173523577106678,1.4703238565941794,1.6912819071699576,1.2312398662026092,1.2524562286665282,1.2775580604761398,1.1524179074350942,1.1340403242212775,1.1669237868027746,1.1105691124511223,1.0527453816903083,1.066080070611237,0.9880922679364664,0.9774998134167946,0.9826586567893121,0.9945980021855336,1.0333567264927757,1.0303920640352924,1.093366539936085,1.090846227075159,1.118777449839947,1.1830493673335547,1.173604002424402,1.165276510071704,1.0841575319964727,1.049620984726796,1.1260747889382057,1.1466319921268096,1.0784764450425552,1.1187172016499012,1.1629637464240565,1.1509881256071268,1.1092931200238856,1.2660779456840756,1.2529578984997594,1.1655066372849658,1.2413597999288557,1.4284555919753614,1.5155710019345183,1.3809057351786154,1.2023126847027181,1.6850633107171733,1.7400673918586647,1.6675759658045215,1.4718612284338795,1.2473479170023398,1.284703091124805,1.4328793879704884,1.2216612026461928,1.2035368745071091,0.9836912581116029,0.9714994921567768,0.8964350267737647,0.940225407583661,0.8889668680879619,0.9264432021748029,0.946891751064176,1.0318603305468248,0.8831712446393103,0.8458174395899035,1.011466029398694,0.8739227989719766,0.8315709997453737,0.7997988348793968,1.2284986713064934,1.1541669661274432,1.2404493665420515,1.9701939542671683,3.448151737364107],[1.318983621189772,1.3636172858306752,1.5780140984724311,1.5829308451983894,1.5938216113809465,1.9643086311322413,2.1060938374718967,2.1002565836097906,2.270936671049894,2.4100746684278826,2.478711497701838,2.345056749926166,2.407550417634973,2.543623506106542,2.572864584090053,2.4740756120009277,2.4931339784058544,2.607212646404994,2.791358730524266,2.598821281879215,2.7207055024972533,2.515112758242479,3.0167326067300615,2.879665580550446,2.943373971324573,2.7501691168249573,2.4983166701476893,2.487917951475233,2.41664844911235,2.331391731382463,2.551213236316337,2.309741011752635,2.375808268262842,2.4136616998052545,2.3325518311266173,2.4064072332411275,2.2008753564074914,2.3903630348747833,2.215417225030552,2.0329339195938676,2.134474460785923,2.400318167239286,2.2888091469692506,2.3582558254202834,2.4126776484423686,2.553177584402085,2.822593352664233,2.4119711928351784,2.439369950406563,2.676194963889173,2.4574116347077735,2.271634184494806,2.191718972975755,2.193154177731377,2.1913587039800544,2.2355239649058367,2.2934928978037847,2.201941854119328,2.243712648311464,2.634186070389787,2.3626773894029474,2.4719128655152764,2.4787612805824075,2.653823066338054,2.584324218566267,2.539160616097718,2.7785331987696607,2.704233401714943,2.9236054129010625,2.896409863401926,3.10236300349319,3.3164977196550023,3.021441788420609,3.0588963157668823,2.7785893916095077,2.777881477919054,2.594913114109535,2.5174995476870663,2.3944755861490497,2.286800873906378,2.164648654399351,2.0856964365252164,2.015146137357012,2.046098985570909,1.980494443296656,2.029248557596113,2.231197213514185,2.202609497846105,2.3518578637809315,2.400628678455844,2.51742430226248,2.678362066939531,2.6987317578140826,2.560540403626299,2.559973513884911,2.6576882383275993,2.715804826546227,2.4059444331985382,2.3021092801936316,2.138251209334802,2.1428882005114303,1.9044961487716745,1.947770558546888,1.778995110352059,1.5236999126771518,1.5773274509538062,1.4765808241960034,1.4561933317657532,1.3611560494643102,1.4531549094563663,1.541851658897165,1.7877812839341483,2.0282462467021682,2.079738681329433,2.3692929763963315,2.4502404618566485,2.5429468454015765,2.6762583163161437,2.842456278152382,2.7236357962474407,2.7608219605411946,2.6237538374735188,2.6253735663260027,2.4685512159617087,2.3255067403771443,2.104126611213202,1.658396548117934,1.7357082172667087,1.492458560187746,1.4968325594013385,1.3800612198800013,1.4172490825652881,1.4308738361083917,1.4478641274007962,1.4956451536245514,1.6372462615304841,1.6204494676248755,1.8341346622784322,2.0708895755212375,2.120296105792058,2.511403213200048,2.5317811095264457,2.4879134019825244,2.3559430699254773,2.2463371884562586,2.277957229169106,2.2613038902821225,2.1779589447283842,2.0361937715780436,2.150693316374101,1.900962708675692,2.091103575295661,1.9961025239798138,2.35693298513948,2.319419322347803,2.0497234911830247,2.1252662438067818,1.9596687153253107,2.080375107598767,1.7980200772535713,1.892888863248714,2.0627891333437116,2.073608731809166,1.980951795542582,1.8345918833525778,1.9211004625059271,1.701016808844514,1.7694237736005833,1.6272953925570537,1.7000318863853519,1.6230883046562232,1.8161837754574313,1.7696894915641004,1.756221377962534,1.8174298406780118,1.7417004907444715,1.970853618546591,1.7730648393750348,1.8196800071377168,1.6532725280497345,1.7419381823908355,1.5733211822314686,1.5052033003215168,1.5293109929861506,1.5686011166774663,1.7251362482305832,1.9113961349268846,1.9290957869776053,2.2449767547236354,2.101539380825453,2.4188631087975354,1.8332109202393463,1.9016755225030926,1.7704461431359728,1.6786631019536573,1.6737769654467372,1.4520728588681153,1.472172845429435,1.3823596618986513,1.3122219530025774,1.2992407427442274,1.2311814208328553,1.242399340048539,1.18801031755399,1.1875624085764476,1.238898227596668,1.2554105784253256,1.2040108254283772,1.2437007728309069,1.3975990851625488,1.3983520063363757,1.3919361658641236,1.481227014292263,1.6624348481149402,1.602465869239455,1.5116859520768555,1.473764818764033,1.4189224286450557,1.2930920445825214,1.3360087256588007,1.3894827041258,1.8864269208770423,1.5010905677009616,1.662202084670652,1.5777091729354498,1.6421501543546053,1.6113961797835419,1.8550145028763452,2.086268643491705,1.8127446529521536,1.723511480372717,2.1041959343603454,1.9243497926984379,1.8127726199155516,2.332942224321534,2.3188619376870445,1.8345559219752081,2.058708529081999,1.5207887154886501,1.5277598544952309,1.6009276637806222,1.4464155189739114,1.4260222589867495,1.425398534705324,1.3929834036814102,1.3394903711395085,1.308092610484983,1.2898521871123403,1.2863974738959447,1.2164193138059478,1.2343835710762168,1.3443359567416229,1.313377402858573,1.2809342479977321,1.298219920257147,1.390018417326003,1.3239104863115068,1.2674773818280902,1.2432144094023383,1.2225317974675871,1.231261629213213,1.2812324002819147,1.2864203148310815,1.2110632153035286,1.3498237043624497,1.3723197987030047,1.2985346338689023,1.2944233458137817,1.5827272555830871,1.5143064259797245,1.3453807580641701,1.5296489343950788,1.8112063903377844,1.7740540750625933,1.6209434212125335,1.3066042504643263,1.9093585757582554,1.7374835854130446,1.5911530242352383,1.480992729524129,1.3196657619598757,1.4997739872107267,1.6071390975452318,1.3432764043202894,1.2657899378558226,1.1389370451910241,1.1622945354834733,1.2022435704274936,1.2493785190936053,1.395115645538628,1.3772477860644787,1.3993122483690286,1.42630699010658,1.4063273574360982,1.3756860262169177,1.5002123756291652,1.4565862172135342,1.4493365886763712,1.5798170151301636,1.6786677187865668,1.6687177510860471,1.511766934417464,2.005441845442916,3.270533822994287],[1.132275867639537,1.1220653979120347,1.294659082611093,1.16016935394785,1.0974587046191355,1.3105022326224631,1.263640781854163,1.2615186289272944,1.28063977907867,1.2165727498787475,1.230893483822755,1.197809883746795,1.1776062484069423,1.176210532401577,1.1944588335851936,1.1417268165142087,1.124149042798085,1.1402188698930598,1.293518734524968,1.1811995808852551,1.2997124446439146,1.446338196948404,1.5756813299796748,1.653777207346445,1.5110083338267744,1.2823326554398087,1.1639523744045348,1.121901814819704,1.1197645499524733,1.1095194219120912,1.1648883734453208,1.131510809678786,1.1522207815189915,1.1464276708186862,1.125760869634427,1.1292714246591338,1.1033535163063315,1.2624755522873883,1.1758579283482782,1.263748741158235,1.3780536899839346,1.2657428802700021,1.3165352091084608,1.419783417771361,1.6498359514879384,1.7346664879985838,2.1860599404782017,1.7241356956152345,1.6018655232105057,2.040062742882134,1.9136228603094396,1.9391832560568205,1.7296791235981968,1.591084056752045,1.5714289676436806,1.5661372540079908,1.4675357412967498,1.3332215676671622,1.3617138016930344,1.943792860402539,1.4604754412046101,1.352999729052706,1.2700022860755447,1.3935312748146031,1.4155259335666461,1.2621709433600408,1.3273523651240478,1.2018759910588748,1.3576691549922928,1.3470989209659934,1.5046637718115123,1.8203349732715246,1.422781872076808,1.5353953992942475,1.2451554365487902,1.3993313220357109,1.2222355524537,1.1992584533262363,1.166790821830326,1.196368824529334,1.2109853029880522,1.2495205960575038,1.2863819073649783,1.470933089282321,1.3115827616233013,1.1535374856067688,1.1914887745943967,1.184104225705439,1.1299233274845337,1.1695366082319205,1.1339928959154142,1.301599258374176,1.2636380783951278,1.153042588711364,1.1695897735652279,1.22971867921044,1.33414358656334,1.195117047753744,1.1734927391429781,1.1976476395492652,1.1165897557043867,1.1529625443550384,1.1133429365961685,1.0970451252796478,1.1922527589348486,1.1890003137974359,1.2170517401497303,1.2557688357528405,1.16608888001654,1.1506761430749772,1.1446344425970185,1.1297965453513723,1.1518102716298162,1.0938096042248642,1.1591226211950851,1.13170702615447,1.102848405326408,1.1571816366999585,1.299558113655784,1.1753154065896314,1.2248463012973674,1.159716888843835,1.169851016487183,1.1642868705856475,1.1857467881507773,1.110890403793551,1.0383955471938,1.1385009569748927,1.1338970578610594,1.1895909654201047,1.207770267922662,1.3463471003845686,1.3777603195369728,1.2845043711874178,1.2177387052131337,1.1805407186523855,1.1566608938216085,1.0852347709548738,1.0114883016598424,1.0818010941696428,1.160624774091425,1.3938022422928387,1.2142193177838605,1.1520786448394154,1.1641817856174603,1.1189008201693702,1.1003757345606098,1.075991560146153,1.094247184965852,1.1853066369685774,1.1701956855149238,1.2498569991730943,1.2826354610805881,1.6932120926138863,1.5063279175779931,1.1872204780461282,1.1607516273907341,1.1489442692881406,1.128073943015662,1.0991463392862104,1.089656831705898,1.0971135317630885,1.1331611498388572,1.1840259339071921,1.3370927865339717,1.3317769205860113,1.4823020020843318,1.6894147327145805,1.5589694545588622,1.2772893759891053,1.246765184803695,1.1406044422689228,1.183185322232303,1.1631428877511027,1.1246535950806145,1.1260688897098405,1.1474243743081198,1.1208314560291779,1.1524211599630079,1.223738100232181,1.274558188760462,1.1932327127177018,1.399875404456467,1.5976055226531394,1.4557964925879507,1.5724249810450335,1.3335902114643976,1.6403617832469544,1.676156481574816,2.068015037299319,2.623776982819278,1.9357339211987,2.059566293985101,1.8573422290302861,1.7289148864188983,1.695892949844763,1.4217643991293218,1.4276231457004742,1.2900933287029452,1.2141921133556652,1.1911377469660582,1.1215584182398033,1.103388805318071,1.1160138350109265,1.136292688636898,1.1578553652373416,1.2194145335612934,1.2253761045709786,1.2583118598287952,1.4041352416035096,1.5047418724410333,1.5447364579516762,1.5815585118407058,1.7951500139446515,1.8762048919039191,1.7336052544981615,1.708424453010312,1.5687951451149234,1.3924656895715888,1.431676860291408,1.3220974532239278,1.7139276268879455,1.373693188998161,1.4030858134287079,1.3999351204343036,1.368814983660448,1.370591693165513,1.5326166709841615,1.6846856942395612,1.4663489987190352,1.4585721364732684,1.8146245366715956,1.5578446953977552,1.5268249084515386,1.990145146724078,1.9044101373220987,1.5838570533065612,1.860066569932182,1.369990187413467,1.4353673775697793,1.4322097175534358,1.2541030637897996,1.2775740478667559,1.246346776963493,1.2270950887297158,1.181659140781146,1.1868055006625515,1.133275539708604,1.1292668529080097,1.1475273656379366,1.18869724950775,1.2711110357444635,1.26540798132447,1.2939496548968383,1.3485708021543643,1.4662703261076147,1.45601232555722,1.4017319420002614,1.3641017821972148,1.2353649361641286,1.1853266465659458,1.2147212404966041,1.2361864848988349,1.204873668261409,1.1949332839661444,1.2131733575092918,1.224219121021597,1.1843337493617063,1.279997173836715,1.2500840501206834,1.2272665105884462,1.2706777407003058,1.436399209864631,1.4972719149350673,1.3736460388104637,1.2884823381049284,1.5824776789144357,1.7879293460707861,1.8251870287648995,1.6429452770218629,1.435262875004754,1.5533729092732316,1.6852926697525041,1.3848389087225674,1.2885958962467217,1.037679192301968,1.0974647986278654,1.064639889467266,1.119291171491682,1.099617383641255,1.1393097991988022,1.146676459537748,1.2188356847721893,1.0590373482046465,1.0513651968262712,1.265137418444403,1.1730822489150687,1.0154885735277193,1.1781094306340387,1.4498774808560668,1.5306545719971596,1.4373619498703927,1.9333749095005146,3.58972212472784],[1.2228454483765987,1.139133518170427,1.128884981638461,1.1827811510698056,1.208197260043207,1.2149975561152186,1.2377862068378518,1.2278471593466171,1.2804087421268777,1.3505376622256788,1.3777655971353882,1.358441348739397,1.4439397622072867,1.4449609891642579,1.5314692981594211,1.4953074544087317,1.5398879352317,1.5804315552424968,1.7396083117522327,1.660149268224938,1.7605131737090225,1.957728546832243,1.9120827349814566,2.0475143209738866,1.847539559071626,1.7098463403838946,1.654265825566858,1.5899525549369984,1.582323969077207,1.524545972821176,1.5771865731335282,1.515104495034621,1.5482888187557966,1.5961719459494759,1.5661682231289,1.5903260538604387,1.5263837183819227,1.6754286592478045,1.6350606777277703,1.6463529209166263,1.8317498384012196,1.7742704199515356,1.7988849549545671,1.8633070151274627,1.9374098839701095,1.8873306581575466,2.210941222926757,1.8311861711377209,1.8319527132564979,2.061733201799077,1.9468298277627694,2.002145003441804,1.8684364169720442,1.9788616860372354,1.8609920366227517,1.923879487126863,1.870909007526824,1.7918053390225324,1.7837167128654035,2.296022572598552,1.8727221988463125,1.7894709468228274,1.7636711529436178,1.9008366369824692,1.8683001407385726,1.7138808360011872,1.7817460299013907,1.6621808092084442,1.7281338223074207,1.692946851613229,1.7805570971663434,2.122656936519607,1.7905921272167624,1.9077364952153866,1.6789638975252048,1.7625989524001227,1.7000094709341906,1.7051989898267266,1.6603532662340357,1.6937183191415237,1.6637208773839558,1.654445290493647,1.7057362308018293,1.8490905870101486,1.7163218340522066,1.5790789614616785,1.6462650251101691,1.6216224652835682,1.6335543532557082,1.6338451937815055,1.6077552037127498,1.7643983173337052,1.678268726432892,1.5841961341685526,1.5471424168534584,1.5595235372718044,1.6160364077193028,1.5110066101709967,1.4472701307462563,1.412026340528963,1.4346671495419134,1.3751839655588711,1.4223226249336063,1.3403027069517277,1.439675385571829,1.498099938981878,1.4787412106561322,1.5054030743625024,1.3755349150888168,1.3681361088216344,1.3556533095858083,1.377889651076632,1.285523846461831,1.3681620950103446,1.4193232796231974,1.4451160397883562,1.5055564202908491,1.5703897165704501,1.7601135759592497,1.584846625335933,1.6055766568879504,1.4847695545129298,1.470317297961191,1.4128621471036276,1.3562093539338003,1.3547406270094122,1.3727359821633056,1.4113369321857085,1.4051992186812825,1.4738637124486866,1.4869842561705986,1.6098358548914136,1.6493286342018871,1.5741751402894812,1.5371133570239692,1.545799806612711,1.4604992998043997,1.4652539019123862,1.457511455696281,1.5522452048140178,1.6550181429215667,1.881168504927561,1.710448332609875,1.61842112294809,1.6393042440097114,1.5668013490174892,1.5156492663067245,1.4323525491453337,1.391772558755552,1.3732026300910505,1.3220142062337286,1.2770189054057075,1.2991301893788882,1.6866531510996043,1.5224143285468164,1.3166682262525933,1.3416627923927846,1.3477680345637086,1.4052392479434808,1.4141933425611648,1.464897991783392,1.50828261681701,1.576197520167307,1.603952283047649,1.7022184247888994,1.764049486412194,1.7781870697247633,1.9628534116487086,1.8575819122930302,1.6638296215341764,1.5955731631687688,1.5029631632798863,1.5352124140290508,1.527492178275765,1.5170091800090513,1.500310937270131,1.5276350994510823,1.507648047365125,1.5216231649715262,1.5612999041619244,1.5960010035114938,1.544546019895795,1.663380855609682,1.8102883448396698,1.7311474181520214,1.8619669314519827,1.6698014811102864,1.831322499547444,1.8920949706507826,2.273680320216568,2.844522361031463,2.157365997889571,2.2659555002084257,2.0858885021358304,1.938100915744204,1.8730203888994772,1.6764640798291854,1.6629939004225167,1.5655837670628296,1.4873343802099206,1.405555735343648,1.3061163757254717,1.2790830821952752,1.239500239107413,1.1909546846037475,1.1682038315593435,1.1392952714876252,1.110048346033269,1.1159539349066179,1.1238411808086652,1.1325246014037154,1.1429664308238876,1.1513295529111884,1.245769221471859,1.3086189553263725,1.2982377765005593,1.3393573995009425,1.248229486720036,1.163798990016461,1.1729139984910306,1.197917134787444,1.7802672612733366,1.3671880665636365,1.549403782844878,1.4192173895021045,1.4709187708973472,1.6050645850716512,1.6620834219791984,1.8660348473861306,1.6932883900003641,1.642866690054527,1.876394096154919,1.7037067166050492,1.7277358408269536,2.1633281547547014,2.05472400946845,1.7485796016136494,2.1060603203129893,1.604316062606307,1.667924803125416,1.6455637081004395,1.4954766265006707,1.5313258504040317,1.4755312662641242,1.505491202255821,1.4528734786921096,1.3509755553654668,1.3359261256998434,1.3811834631331585,1.2075558468834993,1.1507851806492864,1.171731890144474,1.1297856703691826,1.128424787173298,1.108452968215226,1.3017433760283115,1.1204795894493076,1.1021053930606064,1.113051325780636,1.151399110663702,1.2062750265551878,1.1805081580833872,1.1657681728758398,1.1571072576495793,1.2695808885639672,1.2112162810215743,1.1662024937945876,1.236921934131575,1.3561527325348304,1.2548767337162605,1.2015103429183693,1.3956825273686708,1.5020689518181956,1.501747649489495,1.3782676196952284,1.1988019722850944,1.6191569094983778,1.4803665041810914,1.3578886486989552,1.1943980507210092,1.1205408219950983,1.1823372175261035,1.2459982744963736,1.1415056702349777,1.1123737319941347,1.102382984574231,1.2228351279126717,1.2756561170922367,1.3561726589184946,1.299803355599,1.2360494134357995,1.2511734535241017,1.1614590343401472,1.2415993278788615,1.3545073331843114,1.1668375604247745,1.2083209743547554,1.427784267779272,1.164861087058991,1.541162574597676,1.2660606758505153,1.8791609032676109,2.0183879427039364,3.9900772924455197],[1.0350642022300298,0.9378259727980459,0.9483267432018734,0.8276242486691103,0.7781737109070478,0.8644953262652766,0.8362299732377688,0.8425909889332855,0.8254444391856753,0.8082194023485106,0.8231233278921523,0.8070493468675487,0.8331411528560029,0.8230068124697694,0.879619610390128,0.8026060041526264,0.8526677169226936,0.8457673294693916,0.9917400567986265,0.9276228493126913,1.0450405321027485,1.140506772095536,1.3426081268736332,1.4636306295600905,1.3322785275873221,1.074118586351451,0.9091775700829164,0.8266567081049239,0.8145962788372024,0.810961207098545,0.8508810153766564,0.8026669550589302,0.8430275958142552,0.8562130419105074,0.8184082645459996,0.8466071738016282,0.7651472850646854,0.8887780446961798,0.8289893833188001,0.88866539975114,1.0460555758628671,1.0006696330724978,1.0279189300640272,1.1439025169378012,1.3817366899129209,1.49369504931328,2.1025019363746305,1.3953836102770285,1.3651064989122208,1.9426011882492562,1.546969883599173,1.5700828126757445,1.3404610416389309,1.2091489651880554,1.2077720572783464,1.231085727484352,1.2033171617384606,1.0324525749653581,1.077909250556721,1.8172991609170848,1.18509605869928,1.1002839039955061,1.014595791836074,1.1172264712544855,1.1317940105870838,1.0014421514756109,1.0931919112298514,0.9563111760703001,1.0892310983678655,1.0787675347444736,1.2310342755089476,1.637304754605437,1.2050042411985555,1.305493190673457,1.0080831552629046,1.2741513565525966,0.9932138990475498,0.9794280075196763,0.9024998721848883,0.9356145689423209,0.8648542041483404,0.9020113768614902,1.0488099950072713,1.1779974574957848,1.0380234050053574,0.7946707334043994,0.8595219622091391,0.870167277539156,0.8614569463980492,0.9078001406100484,0.8877687102668521,1.0817227010851442,1.0212979915815508,0.8714513784003212,0.8639089730619238,0.9507351845263712,1.0490554478220808,0.892884255120515,0.8562973540945524,0.9056325631661518,0.8337185446423552,0.8039313451892229,0.7764553921738753,0.8186093316890601,0.9056556624901255,0.9121760691969996,0.9330756844418538,0.9903589313250761,0.9023374091575214,0.8494037458955368,0.8529825029574476,0.8227727665186843,0.7738214479970071,0.7436385518108228,0.797284417233694,0.7786046105884289,0.8179019194255199,0.869345771875522,1.047527538798465,0.8831994965163447,0.9170700488030334,0.8499876811694702,0.8265205368748197,0.7853322527875203,0.8059553151101941,0.7703409057138396,0.7718283080028405,0.8340433395091941,0.849742754854337,0.8953545622447387,0.9680176295290189,1.0704458524604412,1.0505540025506275,0.9449499779943938,0.9077422207190311,0.880513367528033,0.8969239093405437,0.8321579980500077,0.7542776266459272,0.7772984600211686,0.8583023554152206,1.1029338533332482,0.9011933256653866,0.833223772634244,0.8344809333096648,0.8137898531670846,0.7956515017369955,0.7569473542145565,0.7610420120306272,0.8403469942553696,0.8122836180794816,0.9001724609564825,1.0238670622138162,1.4989819368925599,1.2559265170260911,0.8661797556729548,0.8103689241765248,0.8058744933908674,0.7708375411115918,0.7658147842749495,0.7777322294737675,0.7808137296074311,0.8079901494710652,0.8272611559067737,0.9477372362895078,0.9891752575217999,1.076752059780062,1.3202936174023876,1.249255438142397,0.997561383467623,0.9238105360759694,0.8094016721411259,0.8231201865206592,0.8044518182585596,0.7829684977189331,0.7760263525682296,0.8212003555820956,0.7955620846828142,0.8140748264877592,0.8092591781292543,0.94713423981902,0.8458654862227238,0.9899294710619687,1.126012056293155,1.0143698901787546,1.1187986626568023,0.9512420834309868,1.2149512484398597,1.5560052036584868,1.6150925965049707,2.1254392076904014,1.4723059898835114,1.6182617075780084,1.4973907417864216,1.3760595598452325,1.447581846107625,1.2032897041216841,1.2276020193090735,1.1847500823296764,1.0913798565954786,1.0813864808076665,0.964166360700452,0.9156000980119932,0.9721201966243916,0.9621661289693167,0.9242004867303716,0.9513365588428421,0.9960815750871055,0.9987596231250746,1.0379916025165101,1.112024516876112,1.1574034289840731,1.1560456795817953,1.2885059584733167,1.3763063861585454,1.3473891532252436,1.3951122016757351,1.2677817402070768,1.1576091712262582,1.2001784041947723,1.2025391193577628,1.7109707714176623,1.3763121737350819,1.5080093309099396,1.3709296950539114,1.3119274553806466,1.3268654968353388,1.409713687394578,1.6546120905338266,1.4267277053136802,1.3630307577207006,1.7091671773467774,1.5102630018853052,1.4401409931670937,1.8520006517445353,1.8582272250649492,1.5561884970459439,1.802611327962113,1.2940114018332254,1.2720419474082225,1.276519897541077,1.159721855450569,1.1305360678235197,1.1431631523248134,1.073885850776897,1.05491647924436,1.0550186747387458,0.9819188436545417,0.9734856560805834,0.9449144317532969,0.9558826609086573,1.0129650849412752,0.985900648736008,1.0387359906902964,1.0536984326684244,1.2068165843593954,1.131469330536416,1.130872254065516,1.100525555480153,1.0599006642404645,1.0177714945756464,1.0648701680619341,1.1008522411722457,1.0480200599997054,1.103596082732839,1.1419345725838792,1.1103561650409073,1.1033985667921564,1.234656685290116,1.26735320696301,1.1388271671568075,1.2428834018459194,1.4495542742246685,1.5543687594050273,1.3278595749066358,1.157881189302536,1.6381201154543947,1.5538292545253325,1.4050793193301643,1.2256615243233426,1.088689995324132,1.1265365178753415,1.1986726572074535,1.0273741796782567,1.050919278077901,0.9464570798456556,1.004516840853735,0.925219792359993,0.9774090456625205,0.8376668150111617,0.8742795742811473,0.8605497737775204,0.8814464292748427,0.8504249441739213,0.8830289516411617,0.9237017163132115,0.883472397206097,0.9402510687996142,0.8598448798499063,1.2920529050630942,1.2113742864409927,1.5977296369176284,1.7783947665276953,3.7590574240439127],[0.9437070502302968,0.7870729927041781,0.7414733202425257,0.6332083144865752,0.6210524034429267,0.6840477165436785,0.7226516819826855,0.7387867664273986,0.7640695309458679,0.7757209761968468,0.8275035909546464,0.7965110600734352,0.8057512902603752,0.8410532173219957,0.9118713892672733,0.8099998905008943,0.8604599463110719,0.87628629302729,1.0414356835916838,0.9534808926571173,1.0770987533564873,1.1308420063120932,1.3824332601756746,1.513329252828936,1.3634309098303874,1.1180105194353789,0.9366657558366382,0.8244578191840963,0.7957528101461019,0.7771614614201331,0.8820250140611542,0.7615435785732504,0.8241897684455348,0.8665973708484608,0.8166807062736102,0.8439944037661801,0.7274343363481646,0.840365565706562,0.793715598949701,0.8557636263804028,1.026243652559268,1.0056118839936359,1.0251176881787474,1.1480403041594527,1.3522063537228253,1.4662033507919778,2.113805363163309,1.4075896254853353,1.421310654545687,1.9714032608057144,1.523281276193976,1.562589081573285,1.3078503624623696,1.1942921617467346,1.1736173974430064,1.2087822357908944,1.1997415785641337,1.028659955746834,1.0890455801896182,1.8617874313029732,1.218435611158008,1.1472347195550043,1.0552586872094956,1.1775362577181576,1.1807745234611684,1.0374370844249625,1.1481886700683015,1.0140152032473566,1.1549181416988858,1.1480746434459799,1.3049950739519434,1.7007347857132142,1.3053576687881572,1.3872143128528016,1.0873252470183594,1.394738331396287,1.0335070996053732,1.0020926842632223,0.9108815052670649,0.9206381597920792,0.8249270464710022,0.8678633126418455,1.0009548509691824,1.117349934831785,1.0053467907670306,0.7302670264316592,0.8277196789171362,0.8415068437369609,0.8610772124904377,0.9164477702696342,0.9353169984029148,1.168570294481941,1.1053682688176087,0.9332168471061715,0.9036801741508156,1.0104790614428416,1.100530268646605,0.8918915949390535,0.8384832445489068,0.8634070381901601,0.7646288188776094,0.730834862703891,0.6808306094391654,0.7230133724123199,0.8920816912709426,0.7544916244988287,0.7820169605166135,0.8311312410482347,0.725602401812138,0.6816345579212757,0.6634701393993688,0.6526268667422713,0.6506755099732912,0.6369196613383785,0.759640095412603,0.7520206004138889,0.8183316419804809,0.8775117110220287,1.081182461372623,0.9295704497626237,0.9657683740131081,0.8967401166520982,0.8568686951892115,0.7711365318147848,0.7503811596048374,0.6537772636144602,0.6199140321114995,0.6720072713841112,0.6919002346119374,0.742778829193554,0.8444812468740375,0.9565432479243439,0.9469454245986312,0.8098695149398918,0.786479551805184,0.7798958844639415,0.7892193935996503,0.7263183296955295,0.6577706938996649,0.6906923115932967,0.8168104774940197,1.1004834986140644,0.8836778268859212,0.7915773879970474,0.7994462840353249,0.7696296333893948,0.7363010847133895,0.7119549399131493,0.6566454993382217,0.7572760654338369,0.679098816168764,0.8281269000188781,0.9693849720466902,1.4570810811260633,1.2587647169309264,0.8097631259177217,0.7493528534539221,0.6967518780312074,0.684779916920024,0.6602168381843527,0.6672387317370225,0.7080750096539242,0.7320024735453189,0.7609458433517756,0.8744936504137012,0.9228347046121773,1.025004262504937,1.3249003035559184,1.2276306172863487,0.9462221397770021,0.8340950052588249,0.7062064181672613,0.7239894636888563,0.702765150272954,0.6924060389150128,0.6712331676285027,0.7532049597386228,0.7116085752428809,0.7275629104687471,0.6999912570986903,0.8776456655796886,0.7157612454911433,0.8655056474165175,1.0399154185905073,0.9256405182301329,1.0539857425217414,0.9109551294410358,1.2197827655254803,1.5705061204336024,1.6123752312429234,2.0956674319007664,1.4262664315280296,1.5885927254463805,1.4611580574496827,1.311300759734724,1.3660372140480432,1.1118570629566944,1.149475037538822,1.0702128479986668,0.9673681396432473,0.9336873853975977,0.7682069501930987,0.7239254935589585,0.8091628596299277,0.7842626288492447,0.7315871167546099,0.7608531990832909,0.8133218507402842,0.8038213906643003,0.8509794026411107,0.9273205291957637,0.9902900695327735,1.0234222915412738,1.1630835801148232,1.2421401645573695,1.1715973052025839,1.2712319497804703,1.110550873892806,0.9778359791345648,1.0355349220232477,1.075623769260036,1.5792591112585275,1.282048653503911,1.3488451216388997,1.1686365293602263,1.144453271923385,1.2160967847900184,1.3469339415922774,1.579594950417649,1.3190536353009,1.2790688296188604,1.5797893736250002,1.4052025229148477,1.3612379851162244,1.798411792915057,1.825727500702343,1.4887514998162736,1.756409917199354,1.1875409098612328,1.1529163676565959,1.1428344813526985,1.0158148618658571,0.9840243551265593,0.9660325019888998,0.8962274765444639,0.8724555782430381,0.8299387114740653,0.7780037328729169,0.8048417509075848,0.7633763261918274,0.7880151564764789,0.8851215696994105,0.8128520316603514,0.8511455504075947,0.9067858604823734,1.1223843228034331,0.9749531183267962,0.9752581150733605,0.921730788314579,0.8699951668875036,0.8081040235961562,0.877038924281195,0.9370662370978782,0.860912962990588,0.930660148105395,0.9786813375021087,0.9415477480261325,0.944847968734521,1.1114925394380675,1.1369146927383826,0.9883991653432179,1.1447585432642178,1.3525306722519328,1.4055461685749537,1.1993381263110778,0.993631015063221,1.4875255844264796,1.3936246013611455,1.2245399540402475,1.0165996743569548,0.8838273006303192,0.9223237897397617,0.9537604277004851,0.8132762183522797,0.8785795580149883,0.823558790217649,0.8843578039327825,0.7903529808547377,0.8328191246462782,0.6723461304226632,0.6953396431662117,0.6843585758854184,0.6801853103057235,0.7626630881728893,0.7626213199328231,0.7144086380198897,0.6868065921284859,0.8459801813642088,0.6526243890462969,1.1559494685315839,1.0797882044418228,1.6063391183726026,1.7459955996358651,3.858111386056766],[0.9647336906232489,0.8191601520832505,0.6891392039932295,0.6044427912386475,0.6567711758805862,0.6154174449119374,0.6776106239297288,0.6933686418866755,0.7361483128481331,0.7362109087295097,0.7809338735156012,0.7458639944946781,0.7641805715350596,0.798599090156823,0.8530332059898407,0.775859235378685,0.8087738063790678,0.8286439892768344,0.9962168323223088,0.8951701112948383,1.0056192544813594,1.060006047378659,1.2898444266798696,1.466231607931928,1.2926886879423642,1.0632933576212205,0.9064327112323719,0.7903645501182655,0.7668033355656522,0.737715804393382,0.8367178038888144,0.7305219146116897,0.7874162402158537,0.8382751717115621,0.7930722850008295,0.8203487434650869,0.7274333232967872,0.8217122792507616,0.7811807097596556,0.8637678142924101,1.028674719547767,0.9568053822597872,0.9915674862148666,1.1091415899616197,1.3420292894518335,1.5019536561071098,2.1531415505334373,1.4004637328691378,1.4531589797147657,2.052621952061138,1.5244941329778516,1.5915304112150332,1.2838484666637089,1.17843307326139,1.1622434165457003,1.1299521427084869,1.1514849844523767,1.011446834479581,1.0522030958548678,1.7873944059861324,1.163178301964275,1.0870553993287162,0.9900965730413805,1.0756396270789452,1.097262775445769,1.0034832269664025,1.069798552934133,0.9461334178162781,1.0838377864023039,1.0951741822638192,1.2352608514221446,1.6125503188290962,1.2502251155434305,1.3272094932085805,1.010875823608515,1.3414699644421,0.9840953969203803,0.9484600118570948,0.8869223983403974,0.9214982829440855,0.8056004257586584,0.8474148679475737,1.0427116764299038,1.1085926078889075,1.039897093901794,0.7339147449413654,0.80942557591319,0.8414027644316268,0.8431944869029413,0.8952171432038267,0.8937657622773661,1.1294602306436474,1.0580062612671512,0.880352481652001,0.8497942872115464,0.9506132216693828,1.0440432991444872,0.8504190322503369,0.8167425297578005,0.8647862540365359,0.7231301729663763,0.7445714435927275,0.6739616539542396,0.727754567245806,0.9695496079942635,0.7377370227989319,0.7854724743186382,0.8226645898394487,0.7275828708000114,0.7284558027428014,0.6600382273608242,0.6343616474586133,0.6212915364942652,0.6196184606414287,0.7195035075568604,0.7173850597590389,0.7868287387963899,0.8272229455903389,1.0419147782640834,0.8777904169050477,0.9210702718089935,0.850406482682765,0.8109048110283088,0.7260450965498457,0.6968402356676533,0.6207519130284607,0.6554409140085534,0.6718405177232796,0.738207281803605,0.7863844161053956,0.9252746880692437,1.0312212348138277,1.0084409452302783,0.8545200103555107,0.8665138685558522,0.8838065689094184,0.8541130930958043,0.8193837807381205,0.7191715824294624,0.7001023216062351,0.7971090247958651,1.0564850596905189,0.828771638897976,0.7517234279853328,0.7672282338061808,0.7381494572765156,0.712607450917628,0.7056937122953941,0.637475786947604,0.6952338676869497,0.6610576998076705,0.7900077649221273,0.9567038162239556,1.4491029069859322,1.26804475554598,0.8007349761225306,0.7427974506745648,0.6548508760235583,0.6757281942358428,0.6586076519466965,0.6707062981216411,0.7041708283315126,0.7335998651375258,0.7721156413260761,0.8678819830281093,0.9276080395418942,1.0543958133739408,1.3850672162408948,1.3100685197684094,1.0474402586993377,0.904946253829861,0.7549926224027987,0.7649433652298553,0.7363013662199783,0.6966832666570164,0.6910705898420458,0.7555883345858178,0.7171874778799063,0.7287488236271104,0.7142982038555312,0.8832047729625213,0.7504066432687272,0.919244984421702,1.063014945525852,0.9583526845352015,1.0776460488518251,0.9387053085181449,1.212909953285616,1.5909378339245304,1.636067987103631,2.081788259126452,1.4765483799810688,1.6441738953806704,1.5408180492562302,1.3804544681359159,1.3743294797650516,1.1818254533100387,1.228558337228342,1.1249458691244736,1.0286308079811706,0.9543166987025365,0.7810624957539579,0.7561895876513288,0.8378449442797979,0.802385030235479,0.7553138224019739,0.7891584302889193,0.829283652463291,0.8011697534607619,0.8277781648818843,0.9023161288221698,0.9561301700560708,0.9889398418827171,1.114696268376364,1.1848127982603582,1.1200440246556473,1.2316735290307155,1.0771890019762769,0.956465967294154,1.0040184402764745,1.0509523702673584,1.4893993535176078,1.2733784957941825,1.3604325175646896,1.0976536174064597,1.079304615999976,1.214020183413782,1.336205908792462,1.513347901426509,1.2996337484832616,1.2906453652741843,1.5057907849923056,1.3965835087084424,1.3624054915670587,1.7613168363681737,1.8136919259733302,1.5056764138125374,1.746095020654802,1.213670263389397,1.1720629552671595,1.1458528427083319,1.0384297994512839,0.9974457228400093,0.9637311964922486,0.9094225588048226,0.8815148190249912,0.8270862019616586,0.7875433310555925,0.8283307110764949,0.7837959875031787,0.8067760475339385,0.8915901661478116,0.8153168508556602,0.8565193863333282,0.9209054310078226,1.1391105345169472,0.9672372143279084,0.9803571562109276,0.900509540734194,0.851323023383573,0.802654387960962,0.8442892991614237,0.9044463251744178,0.8423154058749255,0.9138377461576018,0.9554831952327777,0.9263619215451032,0.9573221658087258,1.1080538570894036,1.1415709312490676,1.0062962179457347,1.1879273664693764,1.3445537718280693,1.4444286342621218,1.2366324169154552,1.0211263239636634,1.4818961091116,1.3942407611434628,1.1929744733287633,0.9874209751071337,0.8686734983959782,0.8879984613842516,0.8974734910166571,0.8293277370256518,0.9482426817260148,0.9533988006388988,0.9643798449156717,0.8681702174633368,0.8937365100179807,0.7385182127787723,0.7075798584462186,0.7084290432470104,0.6766476180263363,0.8413498348407502,0.8205849659161308,0.6724881212056123,0.6880037840779606,0.9070606173723836,0.6357709437618997,1.1127853815274216,1.0172536664455498,1.707256899236171,1.7241086344099656,3.7985528492288023],[1.1398791956033445,0.9520401335976769,0.7666905496818368,0.6746812201544037,0.7315433723585135,0.6567488299925143,0.6940757955521026,0.7201754888578376,0.7783356781528613,0.7649867419173151,0.8133048892162554,0.805725932878571,0.7764121114088927,0.8335475510353707,0.8738615125668981,0.8095598408741316,0.8272713046474778,0.8596903492691885,1.0328928322148405,0.9324299424524839,1.053155730212258,1.0833351363850778,1.3357976927158395,1.5129851471790097,1.3368502128411979,1.1329572134526387,0.9354687223364306,0.8110193442974858,0.7809332574400528,0.7560890538800379,0.8604860248000489,0.7532482146075007,0.7971856705109237,0.8558826834824376,0.8043869114193921,0.8515860805336597,0.7373847298891087,0.8193420823195804,0.7934347678935941,0.8730438745556639,1.048820203550168,0.9811188826757536,1.0196350864862764,1.1270011121047157,1.402781043890631,1.5696292594911623,2.187766465568263,1.464513649957689,1.4984409568883803,2.103925245971002,1.5825681594512129,1.6459277281435674,1.3214179036864468,1.146674750992603,1.1559302906417457,1.1661754008388427,1.1887012896654847,1.0329787195465752,1.085645083851925,1.845298270095959,1.222178830950838,1.1565726606819717,1.0392745177662268,1.1475331233012138,1.1630945091060079,1.0556282578654357,1.131125862073634,0.9901704936793007,1.139787559874046,1.1358701481930946,1.2910863421813161,1.6675447964584083,1.3117278263131757,1.387658744245975,1.0659563701118329,1.3829213262956859,1.02842570966681,0.9779933340792824,0.9321397144895868,0.9782461256275473,0.8304058308689554,0.86677915734835,1.003095588384912,1.074673965052155,1.0150085288072594,0.7341373817476151,0.8334660627505394,0.8624494524394088,0.8920243090211888,0.9079516156177396,0.941610748874774,1.136665159386775,1.080492623068925,0.9040262445505761,0.8689123238115323,0.9721970999528868,1.0304470190161072,0.862959269885106,0.8304435715008199,0.8724062942691733,0.7442731679657738,0.7667330107448115,0.6965243637430235,0.7649777717430221,0.9952783479430904,0.7718756286849501,0.8904159012555564,0.9474759987773969,0.849882863032257,0.8158813176031293,0.7423714822542268,0.6698529199138252,0.6535395315441163,0.6372216922291543,0.7354007069864589,0.73581104883637,0.8135602620796324,0.8539959033957025,1.0617431312237429,0.9223782304635021,0.9800649959786961,0.8861319279376677,0.8381747464882664,0.7368175590804217,0.6977759687414347,0.6266283504068579,0.742576278281774,0.7108802050617108,0.8176258667203194,0.8282012515134614,1.007474113246576,1.118989472418773,1.0530728371513283,0.9036804405201336,0.8895526780260007,0.9162844351575539,0.9001600100751395,0.8321261421950805,0.7177005432876421,0.6954233355393008,0.7908300122068258,1.0460561694658677,0.8414591887818093,0.7511705091660177,0.7657968831619952,0.7398326602191507,0.7114447421360965,0.7226010859815813,0.6513864581844758,0.6909550757557074,0.6745588002883741,0.7744555751807104,0.9677569689441571,1.3906290092548814,1.2390218478887827,0.7991023258292355,0.7535970374203147,0.6608638078794049,0.6900787221808395,0.6946888553733354,0.6811708900336102,0.7118997516167543,0.7178408656211617,0.7556380863568363,0.8675605209899806,0.8905147498773518,1.0534386072354514,1.3674380582661487,1.294456905004926,1.0535625123988965,0.9104433067768056,0.7713225941514453,0.7778885292560209,0.745945573694655,0.6899511877511355,0.685289435121059,0.7469040423408528,0.7237875961728689,0.7327330122592653,0.7260309263336957,0.8673212659466364,0.7610371442125946,0.9407091947389853,1.1082184983015944,0.9811997546853783,1.1081189422089266,0.944958363712966,1.2300078044891907,1.607209258636956,1.621701727700147,2.057888265028847,1.490473895383062,1.6216159597811723,1.53058971769206,1.3987626063766239,1.426070557019122,1.2430993867317564,1.3285440995907427,1.2461526923278838,1.1534932583226831,1.1210653527639138,0.9451072156629579,0.9029890874973162,1.022577009082825,1.0093898155984249,0.9286270234740296,0.9672486659255284,1.029186921289313,0.9900265892969268,0.982159957524197,1.0697137315598173,1.1346631934329474,1.1487017893463127,1.2820611860764266,1.342232489548457,1.2815892046510973,1.4285246164158452,1.2923494302817025,1.1840422238878208,1.2403705734608448,1.339005589610463,1.756583410819397,1.5581464469856432,1.4976399268635412,1.2727226403563703,1.2870551802906844,1.4416382866455513,1.5511439418915236,1.7672078086464138,1.496940434247705,1.477197259552123,1.6566564692775498,1.53748984362832,1.5300793171824016,1.8859803607250307,1.9564037817465385,1.64487575790482,1.849103790112222,1.36384961239455,1.2910895732104477,1.2812295265829128,1.2089128106203026,1.1557821033561924,1.1284710331574368,1.0627344704937964,1.0386263375748082,0.9752399185137776,0.9355530736195642,0.9452146892081029,0.9578007038045088,0.9786347356136438,1.04277005765466,0.9784412985591124,1.0434521002490682,1.1024243852685083,1.270969854752605,1.1491994527725071,1.1921754834852802,1.1105237712930423,1.077863067390786,1.0223078634331593,1.0823515090516154,1.162368873368621,1.0747483662041053,1.1400119210353434,1.2003957605988693,1.1684433099446854,1.1770844180938744,1.3367264550288305,1.3806993783649377,1.2344626963804104,1.3869447107369084,1.5812252873170998,1.5609940457086977,1.4191033634995642,1.2526115328798906,1.6580772584792016,1.5763522651802457,1.375081580601393,1.1484093066578838,1.0655729930056181,1.0468522581293889,1.0412364039407243,1.0271130025013082,1.1489903555030845,1.1331727951959956,1.1477880311580722,0.9957217697917462,1.0212199557380863,0.8463439301604767,0.8353183778792685,0.8413237924622764,0.8146092991863871,0.9405565550232814,0.9481397712544004,0.8030774773325255,0.8051757709566306,1.0152413896316999,0.7221095021966693,1.1570121405108764,1.1100848556262188,1.742065458492636,2.0466942050587313,4.335156627811492],[0.9214143530155368,0.7551775671441586,0.7483389470786408,0.5708703719347923,0.6421891061675783,0.6040203996075678,0.6383568548877447,0.6747148088681906,0.6130680269899683,0.6283458394743144,0.6631647547368424,0.653640755706268,0.67354528079895,0.6828167154987593,0.7363684013343494,0.6628472907637168,0.7195585190541559,0.7447881505665966,0.9240481086730991,0.8633937241683278,0.9945256177932745,1.0488706984658387,1.342017048367279,1.4667268960339457,1.3290952019625213,1.0676670154653949,0.8622063360022092,0.7423638076488148,0.6916173622998014,0.6724608509469988,0.7224808535789288,0.6401017132966945,0.6689611933322728,0.7286069031928536,0.6996847232901003,0.7473427136127068,0.6534796468535288,0.7714221938672174,0.7330367293973764,0.8490681931096973,1.01509259182651,0.9242563663965628,0.9599695278490472,1.1022328524095037,1.396305369946606,1.594101043267937,2.2160445621092704,1.49019214445281,1.4578256082706114,2.107193726846548,1.6321090235048044,1.6725805841138477,1.3603229179310996,1.118251275409339,1.134522685284274,1.2116299824412773,1.1913372018518844,0.966315441544357,1.0408840491948128,1.797585317091906,1.1590965260562551,1.0697509062704535,0.964334941472544,1.0763901328215137,1.0906753377187104,0.9797064787069573,1.0356448412978043,0.8926302581110308,1.040614021173259,1.0308870240526566,1.1807222950431902,1.5625749806129117,1.1684416456962685,1.2577659093244988,0.9429073285013968,1.2961982305163653,0.9290246270907782,0.8863933756292557,0.8172057331861134,0.877770477886018,0.7627085405560731,0.8329037977527327,0.9297422722619911,1.0257023092057018,0.9381674849147584,0.6800624037920483,0.7618767232771353,0.7937744578951713,0.7767411677261227,0.7927312973810625,0.8059811132615449,1.014576405969286,0.9365970581472164,0.7496445383363028,0.7319266637580945,0.848423952144641,0.9326441012177471,0.7241981870149403,0.6740592427852069,0.7449389830296022,0.6636869956001508,0.655306073536217,0.6451517592366826,0.7393427863463181,0.9041391111863935,0.773381717057824,0.8903228034870782,0.9963192892905631,0.848868183016344,0.7677970162473507,0.7042881090082422,0.6775946018959398,0.6187100935762224,0.5865190759216861,0.6672425812683253,0.680392699987724,0.7613382696835583,0.8087638513214526,0.9939119234418891,0.8155134239497046,0.8360514442402874,0.7714485833988738,0.7457658154061422,0.6443003249365099,0.6155190862525415,0.6008294590399158,0.6048948370875629,0.6901226479151903,0.781293787419974,0.8222473367075811,0.982582423747123,1.103871856470828,1.055703621136783,0.9137957873299941,0.8727842587914316,0.8563208506229235,0.8697123149976995,0.7803347227299579,0.6566438975098736,0.6628946182237069,0.7780142595547117,1.0399489074984438,0.824955956209544,0.7340495081101149,0.7343707855730544,0.7010793276836467,0.6812826483686698,0.6381240141723072,0.6122401901587026,0.6621276435429776,0.6316709124870715,0.7433442356894262,0.9497650652307514,1.3583461841638347,1.1432478035884577,0.7239168861177325,0.6520261472923501,0.6302938255330421,0.6110084778922712,0.6510705356792753,0.6732074369641359,0.6748987834156812,0.7088362519740277,0.747264983476682,0.8980860508085937,0.9325809574851114,1.0333572221101675,1.3051376276470819,1.2382493457165067,0.9729222400336319,0.881860064244547,0.7730537565425394,0.786547821062204,0.7510100807511616,0.7029237560746365,0.6697795483791691,0.682127130188716,0.671921227804185,0.7488378749648676,0.7381986433255606,0.9168423347116117,0.7635463273318656,0.9564506666577801,1.1283704682380171,0.9865888466305699,1.0905186507022466,0.9359618258661176,1.219550260161235,1.618884773417689,1.551665118947174,1.9986467866229758,1.458142556877176,1.585237874683545,1.499512319838344,1.4086406973424426,1.4782679087068233,1.2332571983248655,1.2911098177451854,1.2153536590082574,1.1183085235080352,1.0968783139158145,0.9245800543353382,0.864518176381511,0.9694515231693185,0.9592709472859361,0.8609944604442035,0.8949826148390883,0.9647188619725727,0.9400344830613746,0.9461882857364659,1.0307116563801277,1.1056439405152403,1.1100199279121608,1.2543794714281953,1.3374963431046765,1.257740487489545,1.3673803887881342,1.2318253022898387,1.1074978819447099,1.1803730490510593,1.244293960383043,1.7539158507841681,1.4869126932745658,1.4389061493366964,1.2749548944149356,1.2877935025827618,1.408165783108091,1.5390714162031005,1.7754748274781154,1.482900009326962,1.4611835890601539,1.688485878665231,1.5297584790629237,1.5244672445635037,1.9022794641846827,1.9196933550820476,1.6218769342280401,1.8544900664496324,1.3465686706528128,1.301249092882686,1.280931262882202,1.1746914676673361,1.127227026309029,1.1097753261804923,1.0465815259479132,1.0109689836729943,0.9498592692623226,0.8857112078055448,0.89186738042258,0.8961610071548094,0.9201632390492093,0.9803706705482994,0.9296227103524562,0.9995136690292706,1.0417506345457708,1.1809754213422874,1.0913682023309894,1.1041902920505822,1.0441783642503693,1.0113649222428551,0.9772554168476667,1.0519521965831755,1.0897064422728044,1.0206258897744922,1.1003813853064934,1.1441295936496927,1.0994513043618113,1.1214025947810873,1.2925097264723204,1.3240651423383287,1.1609368917418532,1.321295076706525,1.5421374422358898,1.48960789049114,1.3384190409281098,1.168577587523478,1.5818481046716621,1.4534534540755888,1.3071935057711035,1.0980750559223484,1.0041770528809666,1.0040067451848187,1.0198140648265095,0.944897650411517,1.0324338200948642,1.0320009393261922,1.0647910474600506,0.915940324614395,0.9750006837893974,0.7682898082621453,0.7685604918977843,0.7662483111154824,0.7663819281603231,0.791102817414553,0.7844343306358517,0.7584004760806939,0.6855220031085006,0.814794449678957,0.6024713142131343,1.1405339374863739,1.094514337072746,1.524673288525464,1.9583914346318647,4.239700252957634],[0.841227112179981,0.6928485560455497,0.6833096660517441,0.5020379553634722,0.5751268089003531,0.5612424147624961,0.5649577404890636,0.6093870565454328,0.5586916946677655,0.5074768431157035,0.5411290844073976,0.5580031409792815,0.5221170092319695,0.5226131305915553,0.55731096155862,0.49435969712415656,0.5340613168585098,0.5497236066456891,0.7171037253877652,0.6493208340101051,0.7951359131719388,0.9034535017776842,1.0958434853090895,1.2907035234342774,1.0910144998673457,0.8678086938209778,0.6727428425177037,0.538894396045359,0.5005037717113813,0.4853080325457465,0.532809993414415,0.4821364737309415,0.4955319832330231,0.5495833579533785,0.5087511545569525,0.5519013711383542,0.5053388994158537,0.5983176052356892,0.5605451726558519,0.7334065488023978,0.959964738474307,0.7287672198262357,0.8184570417848466,0.9443471939884626,1.3519405431481712,1.5948945015757585,2.227313473101046,1.4574448754284366,1.404344228678765,2.112417475726017,1.5623502346430413,1.6436647517509826,1.2668771074299863,1.0523445231460318,1.0611620471007923,1.0614879207205314,1.0634042625295237,0.8591295190674102,0.9036427535706542,1.6600710968141348,1.0323825990110067,0.9058396251941174,0.7732420035509074,0.8786235107966232,0.9041152067192721,0.8100487732198978,0.8249906264855961,0.6775669403383309,0.8430241178063169,0.8529049880221197,0.9855402334206991,1.3669131819932159,0.967850563829559,1.0583792330985689,0.7410928664897725,1.1007261601510703,0.7195253642936396,0.6831755412210139,0.6335405795704266,0.7299190296241607,0.6019787181586576,0.6867885145717365,0.8454331140033591,0.9441135154069275,0.856886095570867,0.53713347519912,0.5932973791790749,0.6538884648094733,0.601994926781819,0.6192018503668238,0.6150985121910154,0.8314452633488298,0.7399951514605226,0.5544220443839061,0.5462808224830489,0.681938496037303,0.7817080810209666,0.5778925669506987,0.5566767862537438,0.6773718774010221,0.5327713362033284,0.5948434978012773,0.5233608611379205,0.6316894320181464,0.8660158826458959,0.6794340821358266,0.8012230528632299,0.8894088127751412,0.7537675222262123,0.6847591200797127,0.6161367002391998,0.5490404908059136,0.4949249730723805,0.44069233611179454,0.4934166969924694,0.49286162804497846,0.5750027245384298,0.60363780494601,0.8092241403645345,0.6152080255671707,0.666646577727798,0.5945277456253837,0.5774875938435797,0.4585094863255679,0.4621717002236218,0.4325381364487372,0.5640345089929787,0.5935974205534936,0.7139246736276843,0.7541132568783045,0.9497754416447812,1.0788311740295016,1.043391649169555,0.8691623222964857,0.8522650792063582,0.858841791245971,0.831713387805325,0.7234782088991475,0.5629408452713545,0.5562897247658961,0.6247975013936222,0.8916837660178292,0.6416428387180324,0.5625521861573817,0.5685842030210674,0.5206066791251245,0.5020336060345472,0.47920111977643726,0.4598152866408542,0.5335177890816963,0.5347551251019906,0.6799082124728217,0.9143166081238031,1.3523763270823075,1.1141794123194138,0.6563942512761091,0.5556412776232822,0.5200592599182371,0.4881921650972284,0.5528504409713381,0.542296076033234,0.5249703662614624,0.5694598360940547,0.6200239913380061,0.8391455340733371,0.8729498700563805,1.0500232158077543,1.3847300041877169,1.321427064635911,1.0451604060953938,0.8864241880402063,0.698217282024111,0.7125833676688291,0.6595260536859968,0.5744533185418121,0.5570434880552692,0.5619262508830671,0.5791174091792956,0.6210882648661956,0.6545869050376779,0.8457380860304391,0.6777179130483811,0.9082642635908729,1.1139370584202588,0.9807393744983707,1.0802604136103535,0.8614102347110123,1.1564041722370186,1.6214151738106641,1.626318360759606,2.0677550317552917,1.495451357800295,1.645281984029532,1.548774210799215,1.414432078806522,1.4298468456124853,1.225119113052533,1.2841524964449593,1.1574198061870056,1.0577947092866027,0.9857374832723612,0.8059813631955669,0.7667921167683076,0.863233351541267,0.836111503844594,0.7718988416241499,0.805141452883836,0.8585842115617023,0.8535661414046336,0.8979042985806227,0.9819891432776552,1.0540883481080494,1.0942504027609465,1.2514196702074458,1.3214078961354623,1.2161232720741701,1.3161319295410392,1.1327397588546069,1.0025141209227377,1.068013700376192,1.099390589605841,1.4884670059079184,1.262952267628024,1.2740211515115452,1.1175692937571977,1.1270945118558258,1.2848038083259885,1.399888919528398,1.5922132844988894,1.3510858530724636,1.3401991121638834,1.5541933535330854,1.4191948611441474,1.4116212136050919,1.8089692270151565,1.8728989525148736,1.5467321964200136,1.8109788073660715,1.255342259269286,1.209126908048212,1.1758755342030527,1.0570529098306518,1.013018701210536,0.9888552288954937,0.9405527483182329,0.9067691798713823,0.8176473161457455,0.792078330406869,0.8110657748236266,0.801737724050984,0.842009102692506,0.9405679584530651,0.8658988652983901,0.9089495475442586,0.9819045232496839,1.1403368507310887,1.048664935782923,1.055573663463046,0.9654137542414845,0.8965326532532102,0.8383234072191428,0.8899303384832605,0.9650062259882012,0.8852388343039989,0.948975270359189,0.9908594672428852,0.9625558736689832,0.9789737252691322,1.125976950131589,1.1528043629445472,1.016439017803598,1.2147669413748363,1.3534876167402272,1.3883657886396314,1.2351938650348413,1.0257801285767,1.4610587160677988,1.3826679218186229,1.2442492500867992,1.0383450016305338,0.9158609452723403,0.9605672027744873,0.9655590248510955,0.8439448519638287,0.9329348237053304,0.9595940735033522,0.9816574390669496,0.8540262744618952,0.9099808019857655,0.7114021280155294,0.693420248969254,0.6934423122977597,0.6834785687413056,0.7710056005742298,0.7566831907702193,0.702130944694535,0.6364608707276538,0.791332694029174,0.5430425667925963,1.09523858075778,1.0924388035143495,1.4198167279615919,1.8095708464624787,3.986668616983017],[1.2213584559792645,1.071297263914255,0.9060243832139183,0.8850685683585497,1.069768883356059,0.8531992685944917,0.8892671675925801,0.9011728660994514,0.8760144723058706,0.8964793428071559,0.9014752175565931,0.9299621455763364,0.942162788694282,0.9462145237131471,0.9557822560502953,0.9687887120722579,1.016297641309299,1.0491991511214964,1.1109487617085967,1.104162059838902,1.2195372774013618,1.3196953249576295,1.3256295170863075,1.667012577356811,1.322992421285142,1.2664642286756367,1.1450485594875106,1.0655280911792153,1.0338980512817963,0.9974333634528161,0.9801827747573265,0.9676503041213709,0.9233026194643762,1.0028922962890514,1.020602604476414,1.0636935153963023,1.0500483974021972,1.050068085068635,1.0865026590776559,1.2568230023382754,1.4598852463284913,1.164852775947235,1.254569236768113,1.3133166319075895,1.756029603579611,1.9656026393389656,2.538840933264879,1.8419617978011382,1.7542163805553819,2.3471127254768143,1.8698198128310999,2.032732315553903,1.6083155718972657,1.4093556584070048,1.3891302038764193,1.4103684591513366,1.4702925610265951,1.3195796389999577,1.342258599013811,1.9546670368249925,1.4689185761400234,1.3367956836242894,1.211657843212252,1.2653991715537902,1.2893796993612965,1.264325385620398,1.2166177315155067,1.1037512380659988,1.1777285801335171,1.1734269402911086,1.2496386341914214,1.5804332115476587,1.2661383494191583,1.3452857701584258,1.1070836719792456,1.4887640139291265,1.1355814183856887,1.091490959290195,1.117983768967827,1.237836682231573,1.113473847187263,1.1824139467730326,1.2608793960501061,1.3268379559726557,1.3108738283591783,1.1005831859676358,1.1112704811862935,1.1470049916639373,1.1141833931467389,1.0526664962930115,1.076188601358506,1.223551133966716,1.1385143073010981,0.9637552495469203,0.9385282334411676,0.9962238642563954,1.0187263197628977,0.944902120426783,0.9398905548718991,0.9781813860941547,0.9577711522277698,1.050015656385475,1.0382037595522189,1.0573160573297793,1.3957928788131242,1.1629178971096865,1.2937058337921472,1.3557358632523924,1.2305299819306745,1.1992997254826687,1.114562035208617,1.056744136239258,0.9532789766593713,1.003204356415316,0.9826740847134389,1.021203864853484,1.0847236590847051,1.0979438567242388,1.1867179421905967,1.1052245605043745,1.1272932873346873,1.0644900941474196,1.0711185480454215,0.9618936802096775,0.9021454305271734,0.9892180905433207,1.174901583378737,1.1322181365275266,1.2622421073774763,1.2869503262455024,1.4545317673190064,1.556045145712478,1.5250373844500424,1.3768128138089055,1.3946355202319947,1.4443071763605748,1.3716378617743823,1.2910069228816419,1.175751243836854,1.1599348080051102,1.143914247915657,1.3018757791709896,1.1264793715013244,1.094612205206379,1.1073838254474109,1.0609965244552375,1.0508098870707823,1.0448190640894837,0.9965449491881532,0.9062972667732373,0.9299307588116063,0.9057066556426578,1.078075725787196,1.3517557968077307,1.2184903899150235,0.9447884074959182,0.9427852587251033,0.9243756618985005,0.9826296426224531,1.0860842480902793,1.1181235212002547,1.0931362742935988,1.13878855838295,1.1638667713148783,1.326723198368893,1.3524491962305143,1.5172178844661557,1.7881832546666239,1.7742966794991446,1.5611235414628817,1.4213685859168075,1.2677933572416267,1.268687277741666,1.2171264853379353,1.1373009289587788,1.1347481209790926,1.0844553598256148,1.14517322491292,1.1717878340672154,1.1941570807348998,1.2713384682303677,1.2277003764126728,1.408514886235061,1.5826291786610651,1.4826060674598516,1.5816882563762338,1.3648314130355703,1.5803305038021367,1.7591068582911205,1.9270155837256677,2.304374453674773,1.9233335729987173,2.019791492764227,1.9436447716705476,1.8071526093772408,1.7542884583382117,1.645160377940247,1.7191509088567059,1.578292025092597,1.5027170304351825,1.374667486020618,1.2055388440868655,1.207307125160463,1.2533466613437396,1.1814308486120881,1.110011374801742,1.138129838565506,1.1224994707551794,1.0627205750897315,1.0412359548653791,1.0813209398459462,1.1116269791852058,1.1455396759603518,1.2544720066659776,1.2715900915577916,1.2443472880938338,1.357068221408871,1.2236023849087299,1.1635509225721008,1.183610435876478,1.2825819290688167,1.6918256858612908,1.549163632644236,1.606750405522888,1.3000823798033583,1.3572454852994764,1.5963230878701202,1.677684000313609,1.8331550928465787,1.6137513361224725,1.6782329897196002,1.7791906993147069,1.681313442676518,1.729150010166708,2.044271096802711,2.0994495737070005,1.8330223335293752,2.0498602580236374,1.6110796440182442,1.609110068669777,1.5455267839858826,1.4338008685523376,1.4121127482856461,1.2974229083178368,1.3153783862306778,1.298777272947713,1.1448146170819837,1.1271191546738273,1.1826373629884863,1.1344574677938937,1.0911783995057203,1.128661708456846,1.0701658306617372,1.0913846890991687,1.1174352527771148,1.311406256722858,1.130639996903464,1.1546503791623297,1.0853634948715774,1.093281395365713,1.1260028179381125,1.1498125460353343,1.1632300679024012,1.138268069131307,1.2440292453398434,1.2319141188397367,1.194315017295445,1.2984962905753028,1.4009733153009012,1.3841644354234386,1.3027141622584428,1.5243362523621822,1.6310678191479229,1.6307260625475604,1.5344046297146305,1.3493446269469946,1.6938650369234576,1.550867385033324,1.305519645156872,1.1443179059227675,1.1150775436249483,1.1216456117219364,1.1156211619093894,1.196308899175974,1.332978052117661,1.41548607569034,1.3810805782106033,1.3299699120674249,1.3828127273191007,1.2409654977025204,1.1168394600351552,1.1599590741006975,1.078692720601324,1.2068939468120559,1.2946751987305023,1.0044539106688926,1.0121350066778798,1.2919102325345095,0.9037930759586639,1.3167596573446536,1.149889757189212,1.84573879330276,2.237294733311425,4.5651125448658085],[1.2212790349948581,1.0557672017040183,0.9382916115223221,0.8152437042860179,0.7694242521617617,0.7209799437494332,0.6568395942419474,0.6857688959990113,0.6444879191880525,0.5986007984747674,0.6234187516604272,0.6639086252590877,0.6061574066863198,0.6092110292705114,0.6320145115047935,0.59704828275826,0.6190091935898502,0.6098281844558215,0.7776284106999946,0.6920259843782146,0.8171732039920551,0.9357034017384045,1.121725640450054,1.3231281063895228,1.1290422263036892,0.892232431306836,0.7262553039812085,0.6058523176078648,0.5868136729666114,0.5781176915402261,0.6048447493594201,0.6104102221563334,0.60200404353315,0.6380745737712452,0.605559190586921,0.624903424423466,0.6447679038238318,0.6835002667434611,0.6758813870695924,0.8058736776991374,0.9999223925726175,0.7915002892133437,0.8731292206772789,1.010153141416567,1.3541282244765165,1.6024019477123812,2.2123184953811146,1.4608225888450386,1.4401735027635518,2.1428460870091297,1.6084359242431756,1.6504454991861506,1.3309562765479088,1.1533904866498657,1.1491660930013596,1.125669569930556,1.093997243963396,0.9162815282547475,0.9577607342524862,1.6640482059955293,1.0540670030756136,0.9353358442925706,0.804698350282538,0.9239312468510934,0.9308017876426785,0.828246709274454,0.8423131376465786,0.6990962955394304,0.8356747044456971,0.8485928304354972,0.972615084476462,1.3649789222683628,0.9838061645507445,1.0564401342269696,0.7489787032315197,1.0821746427080685,0.7457242282677301,0.7151918694056579,0.7009665073909199,0.8011593114063862,0.7532015811565542,0.8049011619631894,0.9626212904639222,1.114255582518696,1.0048367451191764,0.6978749919565075,0.7019063905746726,0.7784861861171389,0.6767662107951423,0.7180534372258669,0.6604023599006964,0.8379434153755816,0.7434644609046173,0.6344278966250365,0.6210866766553605,0.7289875512624567,0.8022332749227781,0.6598685771560353,0.6667949988456034,0.8083407216735836,0.6637176515153665,0.7399747262520643,0.7055116656483014,0.756518093328788,0.9138167862222787,0.8955003334215565,0.9976073705595017,1.086077630162598,0.9959016045269105,0.9337969464674808,0.865739681572486,0.7497873183964487,0.6311202358032473,0.599006617323126,0.5777050656042834,0.570585875134637,0.608914301966607,0.6417102985060641,0.8491994977142152,0.6617238763476244,0.7219875217427207,0.6436692182102258,0.6426637052698051,0.5482513454177106,0.556059992638918,0.585861742606932,0.8367260290308074,0.7762988829425086,0.9295045141562207,0.9428005344324885,1.1361482793555626,1.261454054654552,1.1678962172541492,1.0468982572721348,0.9965379843314925,1.0032714613848623,0.9781219242106275,0.8500070005183342,0.7056748853723382,0.6787744550555058,0.6893715456284077,0.9265878210607917,0.7041633215385296,0.6640655932183765,0.6695084301381065,0.6223377984848336,0.612678398234303,0.610403851764357,0.6159187593900624,0.6194628254698479,0.7148148614575343,0.7360868698252346,0.9148255101857843,1.4233165360419793,1.112557315853183,0.7371693986462633,0.6656480650732588,0.688007709504087,0.6402953432642199,0.6911732106681708,0.6828426314413771,0.6657951810758973,0.7008624571094539,0.753571213886828,0.9426603026060622,0.9365514349734758,1.1192514185710971,1.3758504353831311,1.3117556409282871,1.1004250010055563,0.9807334106692865,0.8146333249745757,0.8328873733019858,0.8075765898176824,0.7335785714437713,0.7172854103768154,0.7255823072073537,0.7388151191522802,0.7626302599111411,0.8258808276632488,1.0143667539461938,0.8485959799412701,1.0424572454989298,1.2176466153294583,1.0839828811295251,1.1149698515370723,0.9109566397409954,1.1520152811510664,1.6986155570627153,1.6343131920340328,2.1172441158267685,1.488924128654051,1.6762907332753751,1.5722637267759085,1.4770036772659505,1.5606782421622127,1.372267411591692,1.4781594166646428,1.4025646515565913,1.2997733232846889,1.2704344911906917,1.0965893818696217,1.0511946568005792,1.144778982856719,1.1185052945792413,0.9872627115169077,1.008853175553342,1.092718974223248,1.0598201510007146,1.0079281417788124,1.096241658454903,1.1862146209492466,1.1505771743388062,1.2515821202516875,1.3764468280605406,1.323560020223152,1.4788297521618758,1.372736825138065,1.2864447352341306,1.3408083206792356,1.43156597856903,2.0990813435305316,1.8109341740607603,1.8070315290901109,1.4904498043697447,1.4984383497052487,1.5602915087624027,1.634843684216651,1.9268877266391484,1.5796082918374594,1.5782679434790605,2.017003269630412,1.807119624498731,1.6595625607894415,2.00671273418109,2.156505070189715,1.8661921848858687,1.9355229967806815,1.5189007992072285,1.4649963813037048,1.458881457970582,1.3378545472391452,1.3071257788370636,1.277806284801561,1.1643721734703942,1.1757504204827975,1.1515230775387215,1.0479022921868277,1.0139825557833342,1.0549238828678313,1.0662753616582672,1.0749367030058181,1.0389940851407036,1.135384334132169,1.1577195938732592,1.2970192378427472,1.2046450451175492,1.2463704441733578,1.207198722964432,1.2099561751938486,1.1703908341094682,1.2595049317364178,1.2893430967602297,1.208732635947643,1.3089081296727714,1.3642247438861272,1.3040852470150648,1.3358709446140054,1.519622659163338,1.5649039147725559,1.3908170016180004,1.5914929918029854,1.8154155623719812,1.8100874750406117,1.6244065741352411,1.4285670881427446,1.8372287750538168,1.658172969204067,1.4125761957876852,1.177823831530634,1.1176380318811203,1.0551751748391252,1.0746006432941118,1.0871852102636017,1.271682851958928,1.3127168159797458,1.2864935423009674,1.0910239507168622,1.176046987788521,0.9273863776514694,0.9300859227147034,0.9378922140031349,0.9123293043397346,0.8502493442246537,0.9743164178972229,0.8978935127667572,0.9045772019612615,0.9842544936049757,0.8393507374926862,1.2620293701529188,1.2576545741895233,1.7706648319547251,2.3867582852468705,4.827447293779016],[0.9665105946625289,0.8826104682210204,0.909382852554921,0.8412314453480603,0.8366013642362127,0.84833368364157,0.8435634937707693,0.8547699140451223,0.8438784641303063,0.8540691954730796,0.8724766774231023,0.880304208790339,0.8778200680255873,0.8817349490090864,0.910275500576399,0.8895103200463697,0.9231983216551363,0.9352708379760409,1.1237212679554371,1.0399743063950029,1.120608373551045,1.2411060509497176,1.423762908582895,1.5004123993865526,1.4499189800013241,1.1837331303564647,1.0682926009633305,0.974807828507973,0.9389837155944315,0.9022648917984885,0.9418199779325761,0.9031296377501219,0.9059755492326282,0.9364988420615094,0.9153365396715484,0.9400827962288589,0.9497157306760268,1.0520703806640805,1.039865102361708,1.0845046771163065,1.2427894134065336,1.128544906799584,1.188317104607174,1.316651639759836,1.5258603319170025,1.7535917334359654,2.275788159694194,1.6283733505324567,1.6263276032996594,2.305573906191892,1.795455403730574,1.7926008886828533,1.5564106458448095,1.4399209262327268,1.438734346660649,1.40375427963689,1.3332635001545874,1.1869608097689863,1.2277358218339054,1.8140174479497293,1.2874603246391965,1.1980926541623511,1.103600617610655,1.212933359895263,1.228525580492953,1.1009031636493283,1.1143948061377253,1.0229697656067176,1.128716721373725,1.0979626063432844,1.2057874788498366,1.4901421200530278,1.1848333201011638,1.2682192799789744,1.049502973995231,1.1997110089025498,1.0538151919337158,1.0361330345720308,1.011661094110761,1.0781047712895169,1.0803240698704515,1.0994640301659726,1.1937248301130496,1.3543001935454435,1.2576446324348225,1.0145834014924004,1.0377799417743283,1.0522378436828466,0.9907698804689542,1.0350755915303331,0.9648284879803599,1.0707786173112364,0.9917120684130696,0.9416469323889193,0.9179286140453567,0.9681765068041206,1.021790958783064,0.898829408530356,0.8836784118985227,0.9527567113415346,0.8924209827465843,0.8743614550628508,0.9176907239952178,0.921404050768073,0.9917160476549668,1.036643500550272,1.0790338945879905,1.1544195487159041,1.049238433140229,1.0050039369509303,0.9536286329505383,0.9311566025868794,0.8469537845908129,0.8654623260268604,0.8780946429521798,0.9021169998012336,0.9323077901402853,1.0074888138116873,1.1674032992803642,0.9653534737220836,0.9997046027555985,0.9164338536079977,0.9376363001657831,0.8706190550977937,0.8453804705117068,0.8531784430906624,0.8982591283279752,0.9371167369179036,1.0282406199167768,1.0671109368518992,1.2202595740088367,1.3446970726292309,1.2958871102633964,1.1881636159817341,1.1561887340885617,1.1503495954640677,1.1143370112366784,1.0517367300199778,0.9991900563451626,1.0010435444627752,1.0879995293236253,1.2632933542072657,1.095127574209546,1.0434061211771017,1.0388554526790466,0.9741284457740489,0.9536776768391652,0.8873437945914263,0.8776810813109973,0.8786369168738928,0.8945655844051552,0.9139969837933027,1.0423203339297815,1.507218627623203,1.2300792521822232,0.9056382594681467,0.8677352258020636,0.8955271417347637,0.8908038743329678,0.8791419490353249,0.9310174460238934,0.9658714772380554,1.0241723846329072,1.0672903089613845,1.2142489542914952,1.2243439517706565,1.335469250202701,1.5685736158943706,1.4826389805373876,1.3099863407261414,1.184285636065178,1.0623645177013792,1.0747169115389994,1.0498323146273378,0.9961657438028764,0.9398839676875458,0.9825890140062533,0.974301712345294,1.0127798177612006,1.043136646318909,1.2520924135604916,1.034702736719672,1.2078019240557114,1.3661840852921565,1.2700189980093088,1.2940495866094963,1.1488475341960653,1.3377720949295557,1.954007246468373,1.8154377966792892,2.2955547436190726,1.6215771429772012,1.7903773965882177,1.676309608141936,1.5945140869329384,1.6584252701696263,1.4622673197547642,1.531097155247203,1.4197686049763036,1.3060259677959987,1.2459542563023633,1.081711390711295,1.0520319330902175,1.101870542846765,1.0553744614417448,0.9577449241892514,0.9731282660932099,1.0127556931855646,0.9862768804574799,0.9770209679091371,1.0448546585537484,1.1189935210581166,1.1290085915429484,1.2661683442337293,1.3455311709180937,1.2627243246270217,1.380378117869055,1.2227643829970998,1.1361439933675237,1.1864916867992374,1.275177926707013,1.7970465804002889,1.5729657150544887,1.5941714173834005,1.3483083120102073,1.382210403915874,1.5022660002430377,1.5885795671769654,1.842957084194037,1.5337980158253157,1.5407003730072488,1.898582840878961,1.7226657186832472,1.6368969664292181,1.9711156293739822,2.0956386751167795,1.809072401663507,1.9475253633448413,1.503537259565313,1.4765126754906768,1.451531605091573,1.3052105570573715,1.2675206165938147,1.2367339613169201,1.138405695127471,1.1463732784187592,1.0903851255669985,1.0062988803867239,1.0043258165880313,1.002485863172668,1.012881179051566,1.0571100970210303,1.0015178238942353,1.0524765395078761,1.0846870216534878,1.233900009603307,1.1270604425800366,1.1429407820222903,1.091446420732155,1.084199861788986,1.065419998727015,1.1294939220475462,1.1449999802242132,1.08545878811386,1.2014096013906437,1.2169017219928886,1.159985163701071,1.2322022155248098,1.3954485912578096,1.3859239922144837,1.255916410363003,1.4913222330131104,1.6611951588537628,1.609625399808349,1.491419505824622,1.2796605747069623,1.6628920835740588,1.4935527963791202,1.2748345755419275,1.0792228945249949,1.0244842203423095,1.0280291266946988,1.0423834311096187,1.0111299923779344,1.1613744716449126,1.236535708601575,1.2182703947268287,1.080807908539418,1.1902016512799998,0.9826661022178982,0.9470970138314975,0.9524645049462571,0.9157241961472782,0.8657511483357497,0.9434132454778392,0.8960927179976145,0.876382199186197,0.9438600101691397,0.8171043232385367,1.2001473580555417,1.236170451299827,1.5711240743789368,2.2173785130994017,4.549802843718708],[0.9485246999468147,0.7927659917139824,0.7010154240878872,0.5797693736070694,0.6761494423026205,0.5337643381195789,0.5339844166032375,0.5663505612771675,0.4982422873552292,0.4553478500904361,0.4653991162340204,0.5358967592128336,0.4951753380880247,0.46409740227841734,0.48551869892450816,0.4768961804477031,0.5215640049023412,0.5196909585700711,0.6770095278713124,0.6255467276854433,0.7518748394900193,0.8777119508601255,1.021993774695879,1.248620673063807,1.0366003521051663,0.8345121311543039,0.6707718195386329,0.5507972976259207,0.5232794148141708,0.5063787413570374,0.48490368155314106,0.5173037746548312,0.5006897331608446,0.5287957437202528,0.5257342814412889,0.5544562883295808,0.5902012230607734,0.6122655385016235,0.6187627396911344,0.8132948739570556,1.035339724673717,0.7183925283488862,0.8324573392103322,0.9515479850227458,1.3614158540933299,1.6649292203619872,2.235184173518297,1.480141582846289,1.4563579214489801,2.2060986953954353,1.5930976429490407,1.6872321389021734,1.2769666976481042,1.0869067950414615,1.0978481531972377,1.0441008116990873,1.0497345816363657,0.887170533940153,0.9190481236138236,1.6036715348680428,1.0311113537659664,0.8938023789249999,0.7345537259880769,0.835555471670048,0.85983712409069,0.779980114013847,0.750169352494033,0.6055154857002527,0.7478522037277708,0.7571931952065225,0.8598750379330075,1.2349165257010082,0.8649095512402547,0.9460268489804268,0.6464792466741429,1.0413594341025865,0.6487884494355184,0.6094567530871139,0.6215522230478024,0.7408610972138104,0.6896428365887717,0.7638440258593908,0.9222924958175083,1.0398723562112029,0.9702348121565054,0.663020331983576,0.6570908738204141,0.7389762616564601,0.6005667203207584,0.6222347077551629,0.5590221224234568,0.7435423598517161,0.6296176501662337,0.4951202500731378,0.4783775840842228,0.5992117485073666,0.6722849924350587,0.5275262604763894,0.5311617066361467,0.6847132520250704,0.5522770458054668,0.6759655161832095,0.6363994571376134,0.6950395283092002,0.9721458806158586,0.8329329527624016,0.994072944355937,1.0779619328283203,0.9573455681677308,0.8897388958297375,0.792722804970487,0.687382775146898,0.5409755078017449,0.5461134657725539,0.49615689146798225,0.5094289264292273,0.5768760366849459,0.6015809624879018,0.7740739771268758,0.5844576876881388,0.6323022089016305,0.5471466902537852,0.5657308419684283,0.4414969300214579,0.42779394160786327,0.5292465615498099,0.7812934401807142,0.7543217902085381,0.9379095779119081,0.964099788810593,1.1880351334256287,1.3148121264240409,1.2545194485664668,1.0920262230817064,1.073634828559505,1.0794078949505086,1.0463508615853687,0.874854704575796,0.7024690182903609,0.6841017439493478,0.6867338058848622,0.9209001948484472,0.669725022062045,0.6144244409719799,0.6351686587139967,0.5648453251672856,0.5598280207586956,0.5633066361716389,0.5477548264982227,0.5235193075707398,0.6029383595847465,0.6285920738469244,0.8718930551160408,1.3026760249661102,1.0432753245689896,0.6449295365831497,0.553668994235001,0.5779767902748417,0.5516752791611481,0.6644578639513428,0.6790438467166147,0.6412136515093484,0.699275091832255,0.753155627902985,0.9869235654667999,0.9862633235820418,1.1982631759530191,1.4949584265015707,1.475646415490254,1.2398265666744688,1.0751291354820556,0.8659001737777703,0.8865376709991272,0.8288178137400033,0.7313368438293981,0.712541603668422,0.6660841463347456,0.7403987897260452,0.7624789173898167,0.8391714313093266,1.010920934034019,0.862709321822065,1.0872261529877094,1.2717926765395071,1.1480782799692153,1.1848367360745877,0.9561186569678655,1.2166222627051986,1.759909488405382,1.6697582465049232,2.0962240408650428,1.5790109714970204,1.7533441837904038,1.6796825443927923,1.5685946010008789,1.5806839856444306,1.4318220683986178,1.5197050775866094,1.3955581039723504,1.2771125611175977,1.1888805861037368,0.9930953346756773,0.9688065045100543,1.0585203077456289,0.9996132922616469,0.8884060404906946,0.9228363426107623,0.9620238152871541,0.9178676086335072,0.8972748664668962,0.9734786709779536,1.0494394955963,1.0811284540324033,1.2115221202210793,1.2788671696528415,1.189303286917748,1.3290223302787514,1.163636489954687,1.0878322207362872,1.1254535953556908,1.2156500633294902,1.645764121949495,1.4916536160585327,1.5288942921189657,1.222613351771241,1.262942596019009,1.4507397190484792,1.5505787385125172,1.7527229004308633,1.4792654956591265,1.5520540563301348,1.7362889997560462,1.6288159301857885,1.6151751688587703,1.904693713137434,2.0422501842685286,1.761064921296556,1.9087953101568846,1.470071190466372,1.4269656078989796,1.3791555186134417,1.2529200568780334,1.2184320598251368,1.140148484436814,1.0887449201366575,1.0879376480408305,0.979016389173437,0.9182348959126838,0.9342910774854769,0.9350862801012636,0.9389405677008807,0.9916400617857778,0.924500047163058,0.9815269822112125,1.0319662153478277,1.199526003713431,1.0670016804889404,1.092102816490044,1.0116020030084465,0.9985441430052001,0.9884383943971456,1.0470596398024046,1.0782765336907065,1.0196796938356603,1.123718243000019,1.1479359509864657,1.1055208382231518,1.186038843077991,1.3192275753498566,1.3393222921147416,1.2180246294501436,1.4468570195193176,1.5793957877688816,1.585970546245786,1.4912066974695821,1.2876443577865175,1.6576987705470732,1.4993984367411926,1.2630552550714036,1.0358361174661137,0.974179269434485,0.9574313104185358,0.9497704575210322,1.0039727607889428,1.2315739345740333,1.2949677468339686,1.229816265546183,1.0759621637545438,1.1449468743463478,0.9099436129072431,0.8488370080940129,0.8680331975579146,0.8064243580270876,0.8398145297650852,0.9236290502488665,0.7581054577489247,0.7215818767951718,0.8733984140263523,0.5964465264147232,1.1134784341378978,1.1233139118862476,1.554570660686459,2.1611321418972262,4.558421104653059],[1.4734550238410793,1.2644231471539993,1.112391498595104,1.0432604395095801,1.068303839736018,1.0901403934366538,1.090283319710803,1.1037453564599415,1.1275414338787568,1.0866658111319243,1.0958695327618102,1.1374819375408187,1.0811893452004697,1.1060784579693683,1.1089254272829523,1.0657728266005448,1.0623658199407706,1.0623622349903568,1.071086378447621,1.0426471135054474,1.1274261566491175,1.1504487691388614,1.223279973426359,1.4660101441753062,1.2454195525462983,1.1643311843173758,1.0177009431507789,0.9903610942571001,1.0038630510749198,1.016043198947714,1.0430616692880992,1.0638233831031436,1.0640220306241335,1.0471184957053739,1.026970980506473,1.0309736022088931,1.0058712406291752,0.9588810422002926,0.905240532838624,1.006770738816928,1.2016942969346913,1.0070967862148388,1.0715726795692928,1.1322430782719588,1.5228626059966868,1.8158531674238534,2.3394756760409208,1.5955045627188913,1.556977898298717,2.243275844327079,1.6388419832634868,1.707659121171318,1.3067994908466805,1.1322975669728488,1.1498634948962474,1.128861791805078,1.2145535567431447,1.1109520763695468,1.121862724067025,1.724326704432348,1.2844546213850707,1.1849555704014012,1.0973577007684772,1.1681515095437878,1.1711417176841292,1.1238130676908766,1.1832732567619697,1.0895564646078042,1.1982698581003695,1.246571362790333,1.3080952813118154,1.6504711301927668,1.3475303739801565,1.364178128015867,1.157216022936582,1.530900613889703,1.073894778943053,1.057821934708893,1.0302201186336362,1.043545220940326,0.9527090135730165,0.9763551511677832,1.1173339842279548,1.131757822860484,1.0929719770114572,0.9372728747528755,0.9716564237354164,1.0682221079910301,1.0205437595069826,1.0530208475392466,1.0761963499535905,1.2472285906702212,1.1888365333543371,1.0715562655032955,1.0779935656599864,1.1638088707497642,1.2036400305283816,1.1146292738433745,1.1155990433190661,1.2006198031932231,1.0799420328574347,1.1370859944824734,1.0415630076058031,1.0478342049052913,1.1971565952455265,1.0088542490184325,1.1476079577006424,1.1650239455422833,1.1168394769537584,1.1216889822683198,1.08072629738598,1.0065641447956328,1.0201829108852116,0.9749404364239302,1.0105279369233562,0.9963973113004322,1.0774093936201796,1.0127629006034566,1.1113184530977496,1.1068017410368616,1.1486665923251964,1.1313166683322011,1.10254281206354,1.0127882114601179,1.004811839730134,0.9672056688783093,1.139671187082533,1.027702071276452,1.1108242713749807,1.0706426388838852,1.2147151320584006,1.2925357430005615,1.2106375847921915,1.1177965543886732,1.0957897939170667,1.1876806996688343,1.1085107168251709,1.0354209871816715,0.9430871982591857,0.9385947966783479,0.9374215133785437,1.0703904022874726,0.9390352121183214,0.8936997611023305,0.9070014352371712,0.9265973106882449,0.9347178705278808,1.006662154483905,0.9845364788673099,1.0343567766804551,1.062901560776528,1.1446667609556431,1.3690075411262386,1.6039564025939044,1.4738019982522643,1.1768264932085881,1.0962342955866105,1.0278654579391304,1.0373928016281042,1.0461189193330693,0.9712512835032755,0.9735466900419647,0.9284519061719025,0.9398705591792365,1.067259413828125,1.0352910003962668,1.1625008076870025,1.423977890111153,1.3985000040656226,1.2422693662085438,1.075375168810364,0.9821302642411895,0.9972358014855949,0.9669421566530161,0.9420415205732292,0.9739764276514121,1.0078644453003722,1.0444731817894342,0.9899207894227301,0.9945913036749708,1.0976497490840236,0.9953561631146876,1.1072562996395234,1.232584311144144,1.122603835684088,1.2131561807234905,1.080822141053814,1.2807435150019513,1.8173289737328193,1.6179441081280062,1.9631766107045605,1.5196251991921184,1.644035640907928,1.5718131319748267,1.4479303485255288,1.4372162578392298,1.331307030274953,1.430365681006432,1.349267386481391,1.3166908066257919,1.2678496289499062,1.1749004930930156,1.1602357369658112,1.2304858868293456,1.2422636166968228,1.2213855758519838,1.2115304804958462,1.2673070988939052,1.319232812583818,1.3313077798674269,1.386684464132539,1.4971819393242536,1.5619102852358113,1.645371654352258,1.6905248658642351,1.549412224318264,1.7184173348455627,1.4968326708335034,1.4115085466681925,1.5065428221324462,1.5325734453099418,1.8987124296145201,1.6903323608468168,1.613068223825331,1.3862008898837226,1.4119578038515497,1.595177490579392,1.6369464907976505,1.8408379003683004,1.5449489139512613,1.5762473333294922,1.6951133750418983,1.6130277893068532,1.5845304733377572,1.8039191306476725,1.9999553632325988,1.6987518077714994,1.7999909303891006,1.4257859084848505,1.3847442647183297,1.3692969237088268,1.337854094087261,1.3173032923542638,1.3282035329713326,1.280351994687314,1.2600226775808847,1.2279096727847425,1.2399399085156864,1.2479643174940958,1.2827701590506855,1.381863642353918,1.4814050034725577,1.3902315289386398,1.4229566657223112,1.5454008495864902,1.6511016366563434,1.5519049310370725,1.5676375864721115,1.4443695386090227,1.368071259298289,1.294318032880923,1.324521730952456,1.427295125985987,1.3268841535296354,1.3328939539125348,1.3951747165946087,1.3840014490166292,1.3375023979756782,1.430607629098961,1.5716256193310134,1.3692521361369585,1.507207743554282,1.6745035170080622,1.6502075997696675,1.5629507923222095,1.4338838722018963,1.7795859796637776,1.711130227398924,1.6502432247503172,1.3251982609833879,1.2725437844764413,1.3240723789970428,1.262053820910825,1.2393745382839052,1.362498827978473,1.3686626619584878,1.3210896632448925,1.198923200473623,1.2272298138542785,1.1140164346813277,1.1631821572918088,1.185315805732338,1.185785744263302,1.2962314809124598,1.2905010154362726,1.2140732136366186,1.1932011363732349,1.3278286912274921,1.1104186444872763,1.4393088205961084,1.616934706493539,1.8099041707102004,2.586984467665573,5.061753150432761],[1.0931734068185555,0.8946784598518894,0.9974173478358908,0.7065953447144802,0.8625478065295259,0.8053859186221212,0.7959033083462553,0.8547797248164246,0.7280378915717531,0.6396632189574027,0.6171692402506016,0.7114551641986318,0.6534182422504927,0.5761070301209374,0.5946029733236374,0.6135605743531407,0.6197011449569232,0.6300486848302901,0.7542854822439631,0.7582234674862688,0.8527240549209737,0.9701487839700478,1.2106872587912156,1.3183153766839055,1.2724168585312898,0.9398228552325315,0.8179085150002515,0.7302465095710489,0.7014148911442742,0.6840173504938237,0.6237103778879242,0.6964588162798546,0.668116307185794,0.6558516781415913,0.6873323158277632,0.69055279166873,0.7855851564695453,0.8259522426672763,0.827227997791109,0.9553589706106974,1.0148224324578277,0.8914653264450226,0.9617744421827853,1.1212615585792631,1.3733722356010312,1.6498566659945624,2.16370484527339,1.4756069532548675,1.5208513191971704,2.2852901806425043,1.705542908104389,1.7470930233591788,1.3822717558527535,1.1751059220278401,1.1886237924245049,1.184840786704254,1.177467049057569,0.9846258178872611,1.0470499516496863,1.6406218975905007,1.094411416072456,0.9436163993768956,0.8093635079205723,0.8896629815634346,0.9417181840406346,0.8736837087649965,0.8351681702171879,0.7097836541192291,0.8304042740913024,0.8278768767926044,0.9128127604981057,1.2441892988488739,0.8697281430062999,0.964089780944998,0.7027097155306308,1.046094099059797,0.7559513081791613,0.7410516480606189,0.7399207039697271,0.8683540369905638,0.8520386804006999,0.9326083467976447,1.0509106347309465,1.195191496080647,1.094050051589722,0.8654151177047408,0.8469476878780892,0.8852120998196759,0.7409089193046566,0.7722684565824989,0.6710857509863516,0.8187018864121425,0.6882503210915941,0.6027261509287692,0.5980240891092297,0.673935434387007,0.7380737184732766,0.6727498108287658,0.7051598691889344,0.8958858678119807,0.7703624526124454,0.9390595032760709,0.8946128629170129,1.0099028336260198,1.1170692442284647,1.0989117402697726,1.2286931799222924,1.3005989607352975,1.2267079477408356,1.1593012570188446,1.0389570467864693,0.9498614937710658,0.806427096865781,0.7622362291738416,0.6760824328635774,0.6913754956902407,0.7580549111612404,0.7178264090262003,0.8145952169459713,0.6409841828782358,0.6514359626260368,0.6326509236788522,0.6314729293240432,0.5942840817819559,0.6268850078553031,0.7263022528984232,0.8778013845082974,0.9377830670085898,1.1068208042428587,1.1311819521191624,1.3125222724662837,1.440764569410742,1.3183787348944016,1.2313167613974867,1.1501586546178884,1.074769408475585,1.0833714206328307,0.9335603703000492,0.7978700701154984,0.8131693631699175,0.8193563829414414,1.052492083694313,0.8268892592371557,0.8120545337524337,0.8351117177944521,0.7704971424508393,0.7658185055538571,0.7402033785509272,0.8130081412837764,0.7944811357898772,0.9063729795054694,0.9147956112527713,1.16633380755102,1.4926668779111336,1.2137223943083346,0.9164114443225021,0.7930640254746801,0.8875284259396669,0.7820569206608037,0.8892103792568871,0.8824185829447349,0.8450485212473164,0.8604449148849364,0.9127512436160079,1.1185089445574206,1.0276135149740913,1.2268794807694963,1.397784991285082,1.3384554264276307,1.1795410831521231,1.1098833998445587,0.9745988271599535,1.0107989439065175,0.9900708474760461,0.9412390633085942,0.9311746658253041,0.8838987416806645,0.9514462756001895,0.9719312554663331,1.0370808360884511,1.2265110507259118,1.0624189947972176,1.235066021450954,1.3455329166046714,1.2174263797116724,1.2211092513321173,1.0648258439764058,1.2896062028976287,2.0216859183067775,1.618539426395195,2.019235653595684,1.4837160982687314,1.6143856514985526,1.545224976816948,1.5483185933753751,1.6971587720101968,1.516932938493249,1.605694057631886,1.5550078194238601,1.4572532921537853,1.495308828320444,1.3525223435071476,1.2857975220899842,1.3944366710529428,1.4058304417386371,1.2914546927128412,1.2890539566599264,1.397897999116996,1.3938076268105997,1.3210131009795536,1.4154241869886386,1.5151031566511521,1.484981794457583,1.5788273028269921,1.6819336035202261,1.6075470578277629,1.7466149616145377,1.66272146522369,1.5785552380806909,1.650702338780669,1.7495195767577565,2.17007178028435,1.9847798083532568,1.8688545836147685,1.670448883142308,1.7179025937007526,1.8234182886004844,1.8786277521796626,2.119044363736656,1.8056623348196912,1.7997262769703104,2.0907908096995946,1.9507597266623655,1.8581324446656977,2.0603174290373243,2.3098756261993287,2.001006974515081,1.995540949967708,1.6869418220785666,1.6155765904697408,1.652360064367075,1.565497917514922,1.526440883149802,1.5601183070696931,1.4116633331154569,1.4132838411116975,1.415569326214969,1.3368390142306088,1.287649502375334,1.365411357069508,1.4033138246121653,1.4091727679000772,1.361339056175282,1.4761391182528116,1.4769390936186189,1.5234410968094207,1.5325403930501824,1.5926333269359652,1.535268306146874,1.5210979686477895,1.4702862120423796,1.5628037291145653,1.603379377416959,1.5062260795564992,1.5853518904820922,1.634590201286289,1.5927172166148549,1.5891137306102912,1.7578636113459778,1.8089279434256913,1.6418128788770192,1.8081965549602323,2.006037491295693,1.8826511367902263,1.8581737679853383,1.6815272501156449,2.005150119426894,1.8929905396122546,1.747285557577084,1.4614216648846003,1.4110124429568678,1.329198609179504,1.3071221195689162,1.2942124811727846,1.4777301098465492,1.4982450272226968,1.4871539339203241,1.2562854493658349,1.3513560028151033,1.101713027414044,1.1440756508259438,1.148630074360509,1.1955591375879544,1.1018927303661217,1.0841077468848672,1.1307961749647977,1.0564070288017484,0.9943761481467206,0.8497475141768833,1.3607658054735106,1.5566265460079367,1.735506107413597,2.7152985918022674,5.139548261110617],[0.9518310879281888,0.8092536632017523,0.8870644202491723,0.6509300181794236,0.7675988202002837,0.7613934743987689,0.7660928550815316,0.8128494944044903,0.7467366359976173,0.701203473178898,0.7034350719234431,0.759589941240539,0.7034060620352529,0.6636700807434502,0.6787323918196005,0.6625233798872723,0.6810350745946911,0.7095564400809227,0.843571754130472,0.8113461981340078,0.8999672222267122,0.9520718805381768,1.2621855620797349,1.332080107660959,1.2809515300769214,0.9768021950491923,0.8049977694823152,0.7383872508412915,0.7121486456018532,0.6987559703702332,0.6939064718307216,0.7019655715615137,0.710790386550926,0.714931710808081,0.6993494541294758,0.7326805995687599,0.7323927901985441,0.7565167212804207,0.7247379914093542,0.8158131037737317,0.9047459103621386,0.827115466424792,0.8636295301514073,1.0308931608028105,1.3241928759523538,1.6244554827748863,2.1136274342693726,1.3727763015089356,1.419109744137754,2.1954790185678075,1.5608915768553902,1.5885029497789094,1.2060986037922674,0.9637597810948034,1.0264353903666756,1.0156037185164624,1.0626251732640226,0.870274924261232,0.9309629388197321,1.5827654770334814,1.038660538239534,0.9217207289069899,0.8217736135057503,0.894499235593477,0.9346519488633813,0.8901943933814257,0.914639560838168,0.8038491321356632,0.9411449955891968,0.9644984327013097,1.053870758558454,1.341068392368639,1.0179825821539839,1.0767797491232105,0.8079872860327034,1.1444410672499057,0.8229774721415866,0.7930482900278257,0.7441917368524933,0.8021924157398397,0.740751276358254,0.788480849430396,0.9294040919097405,1.003220462418114,0.9063899960180053,0.7380515010066939,0.7523518595137132,0.8248393437141786,0.7501241989463924,0.7760534092763414,0.742981860116629,0.8960930285087974,0.7966843487259638,0.6694742594824376,0.6705694635392777,0.7629938579414902,0.8375255501365444,0.7314458170082215,0.72398246499645,0.8605413130683409,0.7492533687464459,0.8557945514496317,0.7850349746840457,0.8660916457815321,0.9470927348320769,0.9158804217879019,1.01716866445718,1.0621327470579576,0.989931594738709,0.9483189266480002,0.8759886479551463,0.8101031448003765,0.751470509091931,0.6911434764961746,0.7027397639432067,0.7218366467564201,0.8305818704496238,0.7897773496241973,0.8944233989220107,0.7518963440609733,0.7794600149935141,0.7437106242440901,0.7382030512398012,0.6716058091726556,0.6744270339044989,0.6675976751743902,0.7802548932296292,0.785197921834327,0.9185485008956841,0.9167743992344234,1.08659635597974,1.1981035655118806,1.07580090454712,1.0023249193399177,0.92672359781299,0.9281687924031733,0.8938444401421906,0.7939505033023906,0.6920929331783623,0.7070921419834961,0.7594936091921728,0.9595462774758806,0.7712690307386981,0.7348551455008331,0.7257520392509965,0.7221811361859762,0.7294431578230303,0.6980420373685365,0.7259449865839087,0.7602115725460645,0.8119381070646908,0.8605986060517938,1.0640511693836368,1.4241733813191089,1.1393626884021826,0.8476157645189549,0.7544050184124556,0.7989622125725255,0.7349423432819215,0.7743589372098838,0.746275359711683,0.739302460551074,0.7250701303081328,0.7530030062201547,0.9166760630247679,0.806895206853425,0.9798265317966769,1.1712348063278304,1.126848708358299,0.9645362753471257,0.876555733202335,0.7734578727228044,0.8117703447976998,0.7991537417359206,0.7710126440697637,0.7739173091300535,0.7636504497570354,0.8143072700809284,0.8024679099944767,0.8495903047577293,1.0148137580802579,0.8490789467886288,0.9891266906743266,1.1117926829082776,0.9693059065103332,1.0058115627847362,0.8950696865373605,1.1148788259093403,1.9419806573823248,1.3810587400697363,1.7366727972949496,1.2700916806121008,1.4085768899136757,1.3587593936789826,1.3222889003872238,1.41556567569244,1.261750158345036,1.3786267064390407,1.319150039947384,1.2380574627581216,1.2324832974722988,1.0969333114126516,1.0466677058866494,1.134435597990843,1.1355264773462874,1.0535074611362554,1.0610274912170206,1.130017127191495,1.1290804146449092,1.113868524207709,1.1946495507512267,1.2669846849513768,1.2805110675475815,1.419104345411389,1.4758218084038963,1.393355648237327,1.4727062618688547,1.3466623603971963,1.2510555947794963,1.3094371386240602,1.3742437730229915,1.8797577072858644,1.6704925231240233,1.6725870608576503,1.3704909199669126,1.419537517524578,1.56337961010687,1.6271301038848627,1.8800511507546267,1.5627472172985355,1.5557366345642467,1.8450896668402876,1.691113045609266,1.6005998552311702,1.8450086833472492,2.0326370974205537,1.7516705863154394,1.7999055848753889,1.444914133986986,1.3843783256674531,1.3952320008178256,1.3026243987151354,1.2664162261514147,1.2888795623378526,1.1741612133547146,1.1675828865648405,1.1439466367003281,1.0745149734926238,1.0518664008722967,1.0949587945632806,1.1313325197187039,1.169139026425356,1.1319333245341638,1.2031589889159222,1.2351523684889634,1.3182676828669337,1.2687570776844876,1.279458999709351,1.2186983996501541,1.2030044498371655,1.170379242417905,1.2183916042428726,1.2539643351192744,1.201205878775365,1.278449936355075,1.2945060357246796,1.2567648325128296,1.290209806210732,1.4457550718088048,1.4525896931839046,1.3233982257903478,1.5203139999521154,1.6902702365816984,1.661083783652328,1.5422861158326935,1.3646116551158671,1.7338252911018595,1.597691100213345,1.3641358572543594,1.1944876094980292,1.1448919657881336,1.1649620814664763,1.170763344541632,1.0820755872484142,1.2090398728026586,1.2536856295712544,1.236762974822837,1.0506773098790365,1.1253323098394639,0.9182856348965236,0.9643024786683486,0.9689152151081132,0.9925633015095249,0.9387213991516659,0.9489420495445512,0.9656427326638329,0.9180587637780206,0.9007973745722347,0.764584893695174,1.288371356537455,1.3857889227777493,1.663603283158555,2.5705048078560604,4.869729988041588],[1.125954541849513,1.009650865996272,1.0357325805854636,0.9483808141937884,0.977042283372083,0.9134848587756149,0.9426069132234972,0.9800245383779129,0.9278089773056923,0.8909060807457336,0.8788777609437239,0.9423413144397659,0.8907677076751273,0.8675290170921388,0.872412361309901,0.8469705424346182,0.8529140219815062,0.8666611588751023,0.89408189612466,0.9058752322688381,0.9685148204245144,1.0054858479189757,1.182205959796514,1.3856566714154976,1.2595024320952122,1.0544970822985769,0.8994038425419585,0.8907936854390326,0.8841127497350544,0.9026974786025967,0.8547690874973252,0.9292270860732464,0.918436223460215,0.8935950188184343,0.9065584618142047,0.9116345140130718,0.9318237274885026,0.889162993780697,0.8650852658895518,0.9452845625660417,1.0470568290106728,0.9185137185919148,0.9574941027980541,1.0589988617817467,1.3512221744658055,1.6655792159124407,2.12439661996646,1.4267716026381532,1.546572939892517,2.2985784380383256,1.5738248748470154,1.6672408416547981,1.2325922983260809,1.0476277617392695,1.0878528378359877,1.033638177764881,1.0837656855782387,0.964944756831807,1.0155244973065753,1.6219645463501138,1.1275826393653663,1.0150096719452812,0.9352519750734765,0.9541628316631413,0.9959120489138006,0.9767347417480667,0.9910902386133333,0.9149230852235218,1.0148017835917647,1.0555482016757178,1.1129519693857723,1.4039015721157884,1.1153011938844875,1.1542190064704068,0.9411728387909862,1.3179468692187732,0.9253597228853466,0.92241487518755,0.8823705679473908,0.9399029381980124,0.9229134944681426,0.9295408511559271,1.082705304447336,1.0981175118123623,1.0497355844026564,0.9001779914355664,0.9081036236014374,1.0170750076887232,0.9022137516567909,0.9353628649964951,0.9284199749139393,1.0741700448947933,0.9262991330326134,0.8512476248252978,0.8662641332225857,0.9409558762441832,0.9824085922216564,0.9180364450884939,0.9281853252342812,1.037161325250517,0.9493725822388068,1.043204423009986,0.9864670780089752,1.0455048384016923,1.0681422408507795,1.0267628272224738,1.145505727299506,1.1698681580930814,1.110178612827816,1.1017991078500158,1.0307162220127022,0.9790738936067611,0.9315995884345116,0.9080172780802137,0.8959141531371314,0.9125673807917828,0.9904055273513828,0.8947402976041671,0.9433058279194824,0.9027966281678836,0.9042162267845408,0.9394034987858642,0.9072796229183167,0.8783609066775204,0.8794239151263313,0.9112462247470892,1.0408215698493402,1.0092644735196878,1.118624439373255,1.090855285576008,1.2520759282972476,1.3240579263406718,1.2314712224076414,1.1537454749025238,1.1178994075164903,1.1737734224192913,1.109600324789784,1.0346421306098563,0.8967513091243503,0.9020113015563533,0.8678512304625488,1.0572947226635325,0.8848212495612657,0.8628125674729956,0.8639167760785494,0.8659722144138459,0.8686846601784286,0.8937409820298784,0.9307757618191702,0.9417006639494412,1.0029918474318809,1.029507368741158,1.258292717182128,1.5033740301190757,1.3024738365834914,1.0534158207529565,0.9724855039479945,0.9778218519266203,0.9388718123119442,0.9976060724579892,0.9545076422790745,0.9302283622816533,0.8933868043813321,0.9127683681421217,1.0585064581376888,0.9959801236575904,1.1285901150090603,1.3490081249135006,1.3420051237789354,1.2164189013224602,1.0697841940651445,0.9858180861960589,1.0200330962953161,0.9968313756344644,0.9595981277790369,0.9637035092568105,0.9635423346610529,1.0139071185388897,1.0071149338617358,1.0361779351702245,1.1798251245886242,1.0219593728776841,1.12739066107757,1.2207293559447314,1.1147375059506992,1.1494783753729152,1.0195297581584462,1.178221047131294,1.955720172693769,1.4689178700514836,1.7828064739494485,1.4113679635968246,1.549595226111695,1.5211045532883882,1.4265532921499582,1.4251594966092511,1.3526274976284771,1.466155307929815,1.4060500843493269,1.3819449720439723,1.2909940518207719,1.185677201077272,1.1716837541210634,1.2405428364522297,1.2009504408087073,1.1460699718011418,1.1650400103648613,1.1796094570044984,1.1656167532574462,1.1806666331577114,1.1982747734740693,1.2513490939424075,1.332618828232855,1.4449891711801595,1.405499069556218,1.3301465538404431,1.4210110535760951,1.271285146785198,1.2317883556806826,1.2549324961024337,1.3260992453770029,1.6711277125596966,1.564021358769285,1.6353804677371455,1.307743273248754,1.333248172032205,1.528341293842638,1.5700291262069865,1.7514931389901294,1.494071265002387,1.5768677243783895,1.6985082613917044,1.6381631635050853,1.5934700121858818,1.7706000833482132,1.980943393461929,1.7100885769499083,1.8043675210538526,1.460068095984576,1.4180028407167564,1.3829591647862889,1.3267776234966322,1.310591666078067,1.3094702918712167,1.2383298865080987,1.2438476456684668,1.1533955280872388,1.157832016602846,1.1697140918598916,1.1807087292409861,1.2240055472058646,1.2899324574725746,1.2028063203281607,1.2220046110024851,1.2905448079084352,1.399942480643208,1.2888945780321233,1.2994527527390316,1.2146753307673064,1.202092770784168,1.180089980286786,1.2077434206236397,1.2415671461049258,1.2062063640671645,1.2689848834274529,1.2794419831737023,1.2565371035158317,1.3242097822196064,1.4052337353387592,1.4806360611241676,1.3657018915046146,1.5347773150977133,1.653144838193192,1.739413213295233,1.616466314884091,1.4868862335482753,1.801299392752253,1.687713381255181,1.4403032529163085,1.2368681122596115,1.1827830421839962,1.185283164830638,1.1906327486470392,1.2824010589892116,1.5054909123203861,1.4827042516293867,1.3884373308641471,1.2377169502597123,1.274747586927863,1.111796402380065,1.11606158798638,1.1176044877602949,1.0918241626767167,1.1391270191822793,1.142509094247577,1.072632349982309,1.0184438712353114,1.089063708874195,0.9296186407567509,1.308164304941027,1.4573808477510959,1.6697161912003013,2.4736951122243123,4.929922770464016],[0.8538261990522438,0.7212713422546125,0.6642736563717183,0.5294421615722587,0.5953722150068101,0.539428319380547,0.5417155648249964,0.5852857055682458,0.5181079776237683,0.4616380094825104,0.46693632361774196,0.5538940906063008,0.4740078861660678,0.4469678574073303,0.4525560585648065,0.4342524741449849,0.45995846916966737,0.4693668640074863,0.6151683668520759,0.5874348238048593,0.7017829236956804,0.7913789430625552,1.0186284150478986,1.2381332240530374,1.0835371107070593,0.8221387826140699,0.6186940153015578,0.5216216565414734,0.4803327584710791,0.47347210857545763,0.466257397473165,0.49203201273861813,0.4842597743381297,0.5016787729070198,0.4970094148669976,0.5178571787149655,0.5283696748473329,0.5602645611242494,0.5420190696605721,0.6828270863286046,0.855293425951748,0.6650293237647732,0.7433691500528219,0.8997985276604352,1.2212919413222807,1.5452854005317276,2.069229312697576,1.3271344426307412,1.3922237737372805,2.184973567333186,1.4535581748188422,1.5103977643922915,1.1058028339072723,0.9253077216016183,0.9534291060625805,0.9165764463012883,0.9598397700126026,0.7752952621849771,0.8406758851167058,1.5431861585145241,0.9316287939436013,0.785234570114331,0.6611036199591609,0.7587465731848447,0.7620864419084826,0.7075696370256672,0.7238644568697781,0.5745735789217102,0.7374737005458155,0.7590506499629082,0.8536895454183625,1.1981448815686084,0.8334467553091184,0.9105672031978721,0.6069552669841483,1.0437396448468925,0.6031989373613629,0.5743674820594606,0.5419115004962068,0.6407999954336141,0.5901451504724016,0.6495708551449514,0.8522287854662872,0.9298585824023466,0.8594733632461693,0.5739288930641893,0.5872113435694324,0.656212209314384,0.5323394775680724,0.5841817696005902,0.5412230712242802,0.7571796187472251,0.6114300126063699,0.45112149893996606,0.4452703960500384,0.5653766115165754,0.6590334027734958,0.5186110839450382,0.5220842786306568,0.6896614940057203,0.5402203882011414,0.6482599183743002,0.5783405675162251,0.6371332552137953,0.8504720348142882,0.7017416416668456,0.8501993932855866,0.9091867101317204,0.8031321583727552,0.7625495841231853,0.688994514685859,0.601584397734092,0.5128361348600835,0.49323990994228084,0.46170822150061647,0.5038348031716305,0.6098675193994432,0.5744178112794369,0.7118767268123655,0.5270934617413785,0.5648655338085135,0.5485412178420548,0.5443769399185714,0.437869377185356,0.43595897527062066,0.4785441002865457,0.6710822147617236,0.6588834923937719,0.7961440254567578,0.8095604312995504,1.0293654291104843,1.1373116837521846,1.070692772018087,0.9184990950323448,0.9059448699741278,0.9362002457440167,0.900952776476228,0.758293553664658,0.5832867403246059,0.5806569884378364,0.606002426358533,0.8646291643549338,0.6030797993059303,0.5356614752805264,0.5428558275932963,0.5117476722416461,0.5117978328186372,0.507497364888803,0.49942296723629426,0.5156637756491906,0.5668631004104178,0.6419030637324362,0.8936919660709123,1.2927166383930002,1.0356609437818483,0.6553814944815054,0.5495364520626239,0.5518542087412213,0.5072707393655047,0.5876523540231339,0.582820328164087,0.5690551803889292,0.5794132932289068,0.623107731783339,0.8379750167494446,0.7980836419670814,0.9991134277383779,1.3050893350340398,1.2868810108168205,1.0775184185303228,0.892325385525118,0.7165465336714854,0.7414128590428912,0.69773739308984,0.6275204503002549,0.6018786990883245,0.586966787947179,0.6449011320282446,0.657394950088663,0.7024958281032623,0.9601108041381357,0.7127759338798448,0.901610497474197,1.0629738558533353,0.9394998540050459,0.9728824099541302,0.8128242902529662,1.0583052812717268,1.8913269663997527,1.4806114575884832,1.8689963917818233,1.3442846462582108,1.5429731909507836,1.4814643624611648,1.3659968520117984,1.379390744304019,1.250783371490541,1.3447317529975593,1.2265981005679516,1.1312088622230683,1.0264829410857728,0.8478954808844348,0.8315343261642362,0.9100803038121291,0.8514438438800359,0.7704219725045099,0.802851217520111,0.840496806737309,0.817377169822507,0.8423553792546217,0.9130773712586026,0.9790831770427603,1.0418421690871866,1.1954444648010412,1.2381327705695768,1.1131122256003587,1.2427063609872075,1.0412229461986167,0.9550503199441516,0.9886721686369188,1.0421730628207657,1.4494723768831514,1.323915622843039,1.4882835915053982,1.1199548461472855,1.094067514817952,1.2530302715342698,1.3341805897125538,1.5348487647027436,1.2773211055442977,1.3618113628593935,1.589976214157224,1.5030731918882858,1.424558249683181,1.694045385113282,1.878808110555347,1.5967426834894405,1.7242976698673032,1.2901901962618132,1.2435946602439267,1.2037242176410594,1.081985017196348,1.0649080206735029,0.9968105597859943,0.9499283800070621,0.9439864861837108,0.8648612874777782,0.8149714412637734,0.83214778004753,0.8235834547199737,0.8473047579047822,0.9152687798988676,0.8413442382453437,0.8860605384623226,0.9364554229132515,1.1245425560111828,0.9768008365490181,0.9795217853712807,0.897551610081946,0.8631464874604415,0.8543060648695203,0.8942819273316598,0.9314714521068579,0.8793764172037901,0.9606300211053881,0.9890017899292072,0.9493507353884147,1.0256734148117062,1.1553722373479383,1.182787281994311,1.0649009497636261,1.2865278742850064,1.4136009850172149,1.569465537098847,1.3607258185216382,1.12902077167276,1.5296907650034284,1.3808272441325207,1.1368162547774134,0.9531987823336009,0.8599365114067705,0.906606426545902,0.891711004871268,0.8797088252602998,1.109058411451359,1.1593693101036606,1.0825681759689754,0.9495972758738168,0.999717445642487,0.7801980080556804,0.7474397361202828,0.7598322270505973,0.7165843099770121,0.7890347746023804,0.8363764771276185,0.6957153320676089,0.6595246202617372,0.8335188600826018,0.5469174615497284,1.100846045499023,1.0717961893627046,1.4859463909620525,2.0284834242034115,4.285630693885236],[1.1617772761932406,0.9986216543576184,0.7887270733118701,0.7348495796973175,0.7202518571971002,0.6403414288122481,0.6131937458152051,0.6395640852270734,0.6039436182354668,0.5296792696585307,0.5426308757067886,0.5924721419687226,0.5422819591197805,0.5157687841634897,0.5381234019183383,0.498887330039874,0.5379596010194801,0.5411795708542166,0.6424141009510481,0.6234474122246593,0.7446887217968741,0.8363101124867427,0.994605186468583,1.2488298646200113,1.0297782582076307,0.8332443428626134,0.6651791792213589,0.5399918052248525,0.5049925416109489,0.49111235418535043,0.5087725683234081,0.5059861276503441,0.528663925555142,0.54175305383952,0.5172181680725739,0.537954634935947,0.5321235539260456,0.579811331912291,0.5571279604552005,0.6642517558296226,0.8886910279430027,0.7000576751365875,0.755897784832282,0.8703015748030439,1.1867612368167058,1.521420446243783,2.089448997163091,1.2485515988786227,1.412353454467727,2.1534293118713053,1.3646977974490995,1.404985641680781,1.038192884469281,0.9435553683683701,0.9500150642639057,0.9040118605727259,0.9427600470979103,0.7857074116927679,0.8261518043519737,1.5560161120952771,0.934550634418189,0.8144168989354078,0.7032224300082659,0.8201723295681574,0.8195192006394394,0.7236297294450834,0.7866352687752959,0.6120476775819315,0.7484034222226301,0.7573434570876664,0.8847779272468607,1.247992107941435,0.8879230997703811,0.9558515636378847,0.6817585495038303,1.0705280418730065,0.6338581974448451,0.5942167106299919,0.5714432851222927,0.6633957040239433,0.5926960487853407,0.6427847323977505,0.9342994934007071,0.8959088959241496,0.8810210882465593,0.5870441417710924,0.599002978998424,0.6497654792228716,0.5622237430815074,0.6009190439031844,0.5588147221076917,0.7464565519326216,0.6589169298755331,0.5480015307456071,0.5337503336937257,0.6582300132306521,0.7477211473332548,0.5900791384079288,0.5992117209433644,0.7403466866340258,0.5908315396246626,0.6849061970635895,0.5760551767226139,0.6631759632634964,0.8734506461928475,0.699834661781317,0.8379745938640877,0.8641875348983324,0.8105859379013457,0.7974929109925344,0.7277336569180878,0.6088614780854934,0.5509200543805033,0.5233459630929066,0.5013904508635009,0.49940239628289923,0.5781856198106304,0.5737308534784403,0.7470370796100049,0.5941319200357053,0.6515786853752116,0.5962412638366885,0.5759483953865177,0.49549513911297943,0.5121558303200202,0.5444636635809208,0.7199594488887597,0.6962753587264431,0.8196126288768659,0.8169553518649845,1.0299640159626264,1.1096690943123713,1.0433121537164964,0.8838433123970407,0.9167692647814859,0.9715340434360141,0.9521806819218745,0.8145803157258997,0.6453504425943675,0.633567039813389,0.7089319770882757,0.920194153282699,0.6363254494184376,0.556443976483614,0.5598760152203628,0.5184199203172486,0.5205731139579691,0.5449834934485216,0.5287409468620503,0.5721138871919714,0.6001478921382046,0.703668870801866,0.9768882387041604,1.3981599579906434,1.1517015174235816,0.7220653705806978,0.6040011533118134,0.5950874620363523,0.5304904058341618,0.6049219330249219,0.5829502964708476,0.5740818741914407,0.5936647927241828,0.6243094744004545,0.7839352525454223,0.8505401618962574,0.9845492507300452,1.3101745274677572,1.293110318741858,1.0992550350234618,0.9009408714076342,0.7195489069189094,0.7269727519208296,0.6810067695599912,0.6154319994455679,0.58501539376116,0.6090420726226521,0.6644242642269846,0.6344389345415372,0.6617517276131732,0.9019162851773265,0.6898750416374015,0.852385549120843,0.9948200164823944,0.9006144388068354,0.933969738788159,0.7820200579085373,1.0541084080738292,1.8426451007287339,1.508649564701178,1.8976205499886303,1.3417576750592872,1.560624781687157,1.492007346996292,1.3310093671452463,1.3253920840315874,1.2307924574220608,1.3081455326661116,1.2089490378697811,1.1586450167023647,1.0349182800116514,0.8767768374689412,0.8793649945057531,0.963638352288659,0.9118429370613981,0.8438854123309845,0.8899484990574101,0.9111055192829894,0.8669508400812244,0.8637627436096426,0.9163424984477602,0.9821882578328103,1.0236735235433614,1.1196112458667087,1.1700689570749896,1.1389773753471717,1.3150401891352506,1.117623672921039,1.0376209645294443,1.0587131999379058,1.121830080863798,1.47489574031479,1.4370313211498853,1.6365645928612247,1.1822607647898113,1.098177185043324,1.1935183291522218,1.2677424871223686,1.4599272824420324,1.212820024964479,1.3054521280560942,1.560482391034292,1.52269488760516,1.370775363450858,1.6304779382068522,1.8709466490898505,1.5788289290541766,1.6862780931982289,1.2584746996745608,1.2291101161324816,1.1695702285379475,1.0785133455911111,1.0734721926331028,0.9723186880215392,0.9486193202457602,0.9504359453371959,0.9087297582246907,0.8760972074239183,0.8857883918000058,0.883965645476846,0.8963898703909953,0.9805978347816482,0.8901239945721339,0.9240269521849988,0.9982196262634214,1.2378979797566196,1.0223715503277686,1.0405241960469855,0.9621476873373722,0.9420266206752052,0.9264666058668534,0.9680564523153944,0.9954733506272563,0.9442873235299523,1.0124544947824432,1.0565141967378322,1.0310896855177545,1.0772890832272621,1.197533711180931,1.2753514673621344,1.163428198476715,1.329737696559885,1.45055052341097,1.691903612516458,1.4327466952728902,1.2521262535430588,1.626444313482875,1.5028365818517642,1.3134041254625766,1.06957566051913,0.9768978697204108,0.9269441785649857,0.948428452227614,1.0342881554494276,1.259923043826823,1.24144542631661,1.1476267746805011,1.0205590864787704,1.0298397281870149,0.8343833872541454,0.7944296020156386,0.8342316828357239,0.8228502582237737,0.9299886120736693,0.9644162547888657,0.8066248024716203,0.8489494049201557,0.9908898087206959,0.7869579025984645,1.176313258211977,1.1462821612712464,1.805569774586628,1.9743985927051733,4.151199318649261],[1.138679070253999,0.9635843991552437,0.7278162305047786,0.7016584100850911,0.7147403619652343,0.6369150857109428,0.6205236289752493,0.6387066033878962,0.652374134065889,0.6194814199180395,0.6500980076874794,0.6655547697969564,0.6359233982387161,0.6358939741297549,0.6572850387598436,0.6271661957253497,0.6626294763503404,0.6471671872721158,0.7769816044008372,0.688492346197826,0.7880229509763776,0.8780826872607758,1.0577843139393062,1.285981270345553,1.0954663979218675,0.8926969537268292,0.7305584293376043,0.607953381557415,0.589568245078244,0.5888415687628213,0.6330429849688841,0.6014112302716783,0.6194999332399697,0.6735171317537394,0.6129651412285672,0.6397069979342324,0.6064521370417845,0.6686791349335921,0.6498179577257217,0.7510270457345238,0.9374794023291319,0.7821135668450179,0.833897025924317,0.946078297338989,1.212934068750088,1.5153070139227764,2.137794054846742,1.3233034980965495,1.4643043708828967,2.170637005834216,1.4515471853050315,1.4911476813126587,1.119845535187395,1.0793346277705398,1.0325516325416815,0.9906463805026235,1.0180496796732688,0.8641469766738948,0.8962975543329639,1.6152418942336175,0.9823686055295506,0.8862290920424148,0.7896600576280444,0.9006480511092324,0.8914772500073558,0.7977747981898742,0.8429384123539542,0.7204142705274242,0.8621483053846305,0.8584307654622515,0.9990282592878524,1.3624159528823678,1.0205469540256544,1.0857134138950257,0.7856054702653045,1.158812355992446,0.7430006777134653,0.7104149384015271,0.6871387934121218,0.7719614572744857,0.6779349835235577,0.7203734321368681,1.0031285544994533,0.9909687498347965,0.9610530926693485,0.6477719845832333,0.667930630071197,0.7086942996078188,0.6709940730519605,0.7177722527006051,0.6916855764060428,0.8863744552254397,0.8208181594162116,0.6754787490276258,0.6598189651492117,0.7796079049233166,0.8615070838657596,0.694150400411888,0.6846884479223312,0.7819914524521475,0.6346994226389553,0.7192591811509624,0.6314240464110316,0.6727032726509942,0.9452000816285877,0.7303839040402219,0.8515924919353255,0.8813298890821561,0.817815742681055,0.7976001510191773,0.7262199092623424,0.623556114269693,0.575005586236473,0.5740788033675939,0.593900408512838,0.5848368245376805,0.6282723371246492,0.6533653444472645,0.8624453199439106,0.6912019673543064,0.7491247676678378,0.678240952018586,0.6612550701979668,0.5859176986422301,0.585366265724336,0.574887165177793,0.7426420145497002,0.710241822782173,0.8166639470928772,0.838657607426079,1.021381993912584,1.1120292605898587,1.0742523864558207,0.9136381820170306,0.9371058061890055,0.9984245455227447,0.9586662182972226,0.8534876771594271,0.6853497193744079,0.6646971898383378,0.7197905212467643,0.9502705232778488,0.6853715204239329,0.6215163453609593,0.6357605610975952,0.6187462609367347,0.607554720853584,0.6362350472550542,0.576090647752783,0.6066036086219249,0.6049616536185684,0.6967095233075546,0.9162963501387201,1.376787047360204,1.1580873775600355,0.7255643586309829,0.6499828504625446,0.602921336485489,0.5985695728590725,0.6357858951180592,0.6355317455099684,0.6345296632320113,0.6583340757933087,0.6883149103509713,0.8334048313798292,0.9004445160254746,1.0557805698384504,1.3911544511993559,1.3626715435143215,1.1478810755937177,0.9483167814820262,0.7649081258742948,0.762076101709819,0.7249749869939385,0.6630865671197346,0.6498351777917682,0.669079594633607,0.6879616907654071,0.671294968226587,0.6885788408229959,0.926705360477273,0.7299434421212053,0.8907625280212351,1.0515185369271485,0.9698296847355201,1.0109048423407176,0.8571109151006476,1.132320339326366,1.8216398889021959,1.6094549262560938,1.999960726935999,1.4112188048199843,1.6187125691578022,1.5428980342597431,1.381395823126043,1.3547964232619407,1.2405441661166996,1.3122163838213505,1.2106693963076014,1.1209484699179686,1.0296369995398178,0.8521279713259899,0.8447311931057782,0.9443577778462803,0.8970500604083342,0.825069661348149,0.8685172399337285,0.9064039835645413,0.853511269208996,0.8439238606121513,0.9123898410013356,0.975220355812744,1.0073634274038796,1.104557523866127,1.1719244365774046,1.122399162849467,1.301055334758694,1.139969563998089,1.0500799428400396,1.0759512991714242,1.1545268205120554,1.5596991403216804,1.4772131357491716,1.6030804735825315,1.1799497993757917,1.133205289313642,1.2641006366083476,1.3312996510159043,1.542306485799939,1.2780244023669385,1.352582586633556,1.582530634876289,1.5101054720856333,1.4028301511771322,1.6817408721026674,1.8737987201414887,1.5949211662464293,1.719202914107801,1.2775197143954768,1.2230422415430129,1.1828162815482712,1.0875256707132834,1.0732944455943882,0.9877661299641762,0.9544068170664165,0.9526502646823697,0.8922227606692527,0.8602550302076098,0.8780074125623868,0.8694013432910436,0.8818513214361634,0.9683493725876333,0.8758799526446929,0.910426668727588,0.9802436994301184,1.2219733544862383,1.0066284095710578,1.033070768514388,0.954004598897764,0.9330153382773154,0.9146664313223997,0.9524990683020446,1.013230841819916,0.9436305470369981,1.0121461985270306,1.067302834759201,1.0429355556720938,1.0764779272556055,1.2172355813818645,1.2850261126170934,1.1574175025331799,1.3312916175025973,1.480040450126974,1.6516200334767857,1.4254136325375433,1.2238876954674518,1.6232327575252163,1.508899109382946,1.3073564766843424,1.0500807692868885,0.9443019475079331,0.9099826715366429,0.9113086176946039,0.9743079808043107,1.183781720020604,1.1843936890880205,1.1132984323915307,0.9893420917152718,0.9995625773748273,0.8206827728867832,0.7754800641431951,0.8156586905587514,0.7932236065543113,0.9337350534323867,0.9651772926324342,0.7724948032301463,0.8255245911883622,1.0043446110879155,0.7526343348329526,1.1426540459078756,1.0875730061507296,1.8114301442284824,2.0310277066393714,4.259092461748619],[1.018855040412864,0.8871596339096294,0.6772886625737652,0.6708779862821694,0.7016442761491867,0.6487517037701218,0.6714932108162628,0.6865687375481208,0.6984011823109805,0.6931789006457313,0.7261915808071718,0.7207586229206288,0.7187326580040779,0.7278046988271742,0.762059215647932,0.7263452926435445,0.7318252008625435,0.738334788049363,0.8769218686375052,0.7757107769274231,0.8617390210126445,0.9411248486433806,1.133927333822881,1.3296441703270159,1.1665958845717475,0.9524498308234542,0.8074044895402247,0.7004857454973524,0.6831622028625163,0.6791440455180066,0.7250841239409521,0.6968643177355572,0.7118322693313646,0.7606762228745345,0.7170481671048757,0.7322784399713507,0.7018621627912727,0.7845122826377364,0.741814030517843,0.8402804924060591,1.0095615612219484,0.8624453206446796,0.9226154271865974,1.040630087831025,1.280918248594477,1.537513041902632,2.1875455926215026,1.3930691452966322,1.505114692095962,2.1460282592043214,1.5059716198613198,1.5559100105483006,1.2134009388399387,1.1985108561215643,1.1526552095500224,1.092709871201815,1.0936572143051195,0.9490018960556039,0.9691404876348902,1.6692760386776073,1.0449021568947334,0.9656309041857122,0.8753721451802899,0.9716210712705426,0.9714248549190777,0.8685143293296864,0.9230462623479339,0.7992302373192965,0.9223511427238573,0.946494944851003,1.0667165611935565,1.4271249851818077,1.0994815321934128,1.1572143749530406,0.8534784615192442,1.2005841754575726,0.8356400988540397,0.8209586283432105,0.7953968379873557,0.8631622447266092,0.7811269382584122,0.8082976450513707,1.051984911779999,1.0964768965552714,1.0385015150455719,0.7243184995427142,0.7569360974251169,0.7922550101494009,0.7741791081396708,0.8098373214430695,0.785017443929412,0.9719278849014407,0.9015622187328102,0.7588261181349041,0.7424216734853201,0.847527846802313,0.9346977332857724,0.7694390786540001,0.7709323158244665,0.8494305102968062,0.7073724591704582,0.7669736524930602,0.6926918059082988,0.6998484771140862,1.0083384842920393,0.7425434869418696,0.8249606181489799,0.8657288668027096,0.7786491548594223,0.7777333148559783,0.7165185028925816,0.6484919371997547,0.6234273121521027,0.6221285790353231,0.6696638734071291,0.6622997640684158,0.6985494675102407,0.7259618812506933,0.9394465377157596,0.7726040170579139,0.8343913955128812,0.7673136652210149,0.7438599902361958,0.6709746238704156,0.6598179009066402,0.6180431967357178,0.7203541611230988,0.7181967038523984,0.7712616966259015,0.8209331413263545,0.9728682205726655,1.0679620518056918,1.0641593027167202,0.900978757734348,0.9340031423773403,0.9895510853736945,0.932487858963403,0.8836821835406765,0.7570483760101789,0.7359714584133873,0.7990075542361929,1.0218157403173038,0.7838247256685301,0.7163734538741164,0.7322216156602006,0.702718034491407,0.6839804204161384,0.6963366767367859,0.6245899443877778,0.6680244692476188,0.6431942362306557,0.7596957384243244,0.9390538587064317,1.415203567202389,1.2217103243977152,0.7788228154716104,0.7187100778267577,0.6431612550804424,0.6727883957126838,0.6719716929139348,0.6752481330665304,0.6973098386460688,0.7309792821862593,0.7689287746383897,0.8964723339329148,0.9666797523334257,1.1101288916030818,1.4406643987870933,1.385004766596584,1.1498056534313987,0.9718576714262431,0.8083601856611609,0.8020806220480914,0.7689895862367844,0.7089920405197093,0.7048269505312674,0.7450250665350797,0.735559376825652,0.7412826211498433,0.7245023746560794,0.9372666874496712,0.7509907125070258,0.9151674962468832,1.0873112436211168,1.0142262617031006,1.086820079235537,0.9343747062392087,1.2150393732934608,1.7500852337835602,1.6877950473282255,2.085347336431822,1.4872903088034228,1.6740469775566198,1.5785709472567067,1.3933412236417972,1.34752096785484,1.2083689599551768,1.2502491120117303,1.1299554024287668,1.0401020394927447,0.9371987777636089,0.7684314676958975,0.763695910014811,0.8281542381091804,0.7794243602969325,0.7460289351888905,0.7731404507553183,0.7935835656668575,0.7630752200327765,0.7976862828856407,0.8549643429812688,0.9047083695705334,0.9607041011838643,1.073326705288329,1.1389586368009803,1.0694384087874378,1.2015037537720537,1.01537826465979,0.9156722969158575,0.9509180464369833,0.9895239141984696,1.395880036376521,1.2502506308780577,1.4272814963943454,1.077831977777978,1.0188922016508837,1.1548307150259791,1.2464230318248124,1.4240538852313234,1.1992107669074645,1.252082707452178,1.4808387968747843,1.3850199585493514,1.3107349233491197,1.6597172765887922,1.7916876503249055,1.49114250181614,1.7012265550234003,1.1909220602090298,1.1638305996323217,1.1147400919501493,1.0001722793543428,0.9966780338891074,0.9185648893271776,0.9120533213898004,0.8828083983372841,0.8032417217316962,0.7800802996688305,0.8286511462077325,0.7771204377443142,0.7807716681275859,0.8673247893838271,0.7853565143716504,0.8076633072687993,0.8813055513033422,1.1323920667417315,0.9205758459792873,0.9320832479283626,0.8513207128742859,0.8092547011785755,0.7904410204921115,0.8133481921074867,0.8683987563610982,0.809423125772662,0.866249471828981,0.9053222323653102,0.8807507614425901,0.9187194275449369,1.048983365873392,1.0837399288773455,0.9664616893988732,1.1610848503031912,1.297269314516215,1.4779416701692536,1.2355105219952938,0.9944615829504653,1.4551585609192312,1.3301615271758425,1.160017506075632,0.9416911124786228,0.8272938194847143,0.8491247247601447,0.8532915924381266,0.8143188606722294,0.943986987166006,0.9737344972814045,0.9612062059204766,0.8965911075788121,0.9099275026512954,0.7752395193777968,0.7176256176893694,0.7533512342903461,0.7211223911612019,0.930689816396196,0.9270714042524058,0.7160981923314851,0.7844188559181594,1.0280515407674848,0.7137057226473471,1.1399178068938478,1.05200156286881,1.799553401246997,1.775442694323522,3.799476316528812],[1.1788035432366843,1.0861182636292686,0.8715994735642213,0.8688237054818492,0.85520229249394,0.8480630966008076,0.8736013142526099,0.8850380834602749,0.913965532542166,0.909766013546693,0.948827718550907,0.9421083384656106,0.9264622824926885,0.9445015326057304,0.9871655777942578,0.9455503968128586,0.9459390182743346,0.9448129284250953,1.056923162572725,0.9597532965107924,1.0104473292191831,1.0664744824336811,1.2543312527958723,1.4378247057016116,1.3003998399112895,1.1059328102619181,0.9944201893959629,0.8951752941054539,0.8908721310954802,0.90566044516632,0.9475643617390465,0.9289742515378806,0.9456033050245447,0.9764415469232166,0.93480521348908,0.9370994353199624,0.9091848231340495,0.9889698793085566,0.9381723472989844,1.0030452145013045,1.10883072343109,1.0544103703183172,1.0907434044984334,1.1869167987704596,1.317032439535383,1.5820217025493706,2.2337479811299215,1.4607854344254032,1.6665465399443817,2.2058361349198505,1.5746579321940448,1.5725721776959554,1.2825022432713786,1.3635180345890123,1.2651461079316717,1.216934791552674,1.2103948571276992,1.1043919258909738,1.1254795178497092,1.7875808003054907,1.1913949311922005,1.1419268999054522,1.0635247278386382,1.1548915820712724,1.1378151270292716,1.0221794676692522,1.0958698376461462,0.9981984201631124,1.1113497688399376,1.1069445509254303,1.244591470932013,1.5785119582851013,1.2791261570858952,1.3537360958092572,1.0616041335485735,1.3815560593731093,1.0326041663650922,1.0236964289895116,0.9913210669552697,1.0148726158720356,0.9825667224864875,1.0095873739655374,1.2437531415636924,1.2414301594743107,1.20587020376926,0.9250832616100922,0.9660534959407399,0.9678174849158504,0.9587531446870753,1.0147655927842485,1.0043194839692766,1.1657176324519707,1.10634372504157,0.9977454665318243,0.9801486239610632,1.0679723527495695,1.1288777175559666,0.993799886385414,0.9932644661358694,1.0481721306968936,0.9380283608538301,0.9623293847742546,0.9116943159772705,0.8878677364698908,1.1386303481491993,0.8891587784370363,0.9480598989220641,0.9718003824174396,0.9063724339509128,0.9088752135584964,0.8608241119440858,0.8127478468626478,0.8309913683829191,0.8295392349994455,0.8745348167506805,0.8547620103741108,0.8716173734794554,0.9124256287455542,1.1148317199768574,0.96242027681947,1.0140574536972593,0.9332308936297828,0.905291196648592,0.8769656031961047,0.8672322841524494,0.8140070870138325,0.8415854216398725,0.8664595711868328,0.8866464976860768,0.954640039147149,1.0620422009004915,1.1327815368744139,1.1417925792293149,0.992007450557575,1.039960268784313,1.1020674752464472,1.0409458205963262,1.01557259343461,0.9188487561943594,0.9247745346375932,0.9827012288584782,1.1961514654426875,0.9685835727661068,0.9013375512485461,0.9141516015248693,0.9051089591124396,0.8835003906875915,0.9095759512636444,0.8360638255816674,0.8824684924832802,0.8513889000992794,0.9550520445328123,1.1005449271354322,1.610534043062091,1.413489345081577,0.9651859419799442,0.9143168424874724,0.8601798818807321,0.8814468647109054,0.8612953750052862,0.854238714742387,0.8823325292845838,0.9004607005076725,0.9347403501946454,1.0128361884955643,1.087404760855449,1.192359669391072,1.4986947428620636,1.4485785167676513,1.233222768394411,1.0779081521847407,0.9511008704294761,0.9385880631373101,0.9119533781734672,0.8758796484032862,0.8778513704364772,0.9466515406773691,0.9273758795233138,0.9273996388268071,0.8712691051231433,1.0629236893103633,0.883648468031848,0.9999330541642613,1.1503324934524426,1.105391688208425,1.1678316526044277,1.0708237729897419,1.3464914539629316,1.8472274102551078,1.7970021129401166,2.1536314665557343,1.5486991875558014,1.7377928930524602,1.6384306808318403,1.4360090184254273,1.3993730623533254,1.2773772267881418,1.292559541249905,1.1823473574863952,1.1071181995845498,0.9960565160125318,0.8591778470789116,0.8676378078699413,0.9044543300220595,0.8613887665840995,0.8495787830725109,0.8657398842599303,0.8584058381271126,0.8368763045175184,0.859043706800286,0.8941986017983474,0.9388308728421619,1.0037459652935712,1.0797785443745347,1.1217062432962837,1.0736667375872737,1.2106144452322436,1.0418110348877232,0.9554760686561162,0.9620393417886525,1.0244666982265667,1.40322835257512,1.323780404109844,1.5633973938105215,1.1382319276481974,1.060879485495102,1.1732895677909427,1.2243227070282576,1.4192745104549798,1.1872401929143133,1.2569893685162965,1.5006445432877653,1.4192548220780488,1.3236725905461306,1.650186888078463,1.8029478593765764,1.5206346530967414,1.7163573493087458,1.2234057552468018,1.2109550409986114,1.1574088063748356,1.0500548100099178,1.0584067604426826,0.9794843120744019,0.9787065646950889,0.9559018417559397,0.8891160416122301,0.8856430676726931,0.9090463633062623,0.879710510734643,0.8833354777725174,0.9781388961377999,0.8840115939221603,0.8909241690008621,0.971468852839915,1.2111439536548887,0.9874678556584752,0.9965421026839898,0.9130275628696963,0.9030271569157006,0.8922509723984818,0.891883630136724,0.935697535676749,0.8874600556640817,0.9332264378906615,0.9643928931378837,0.9435682453960612,0.9749412002377775,1.0958928408155508,1.1434907332641224,1.0373487447626366,1.2118333173519638,1.3569430229555803,1.5721478796853516,1.3034052706869679,1.0809338878229453,1.5123786026778312,1.378444844622823,1.2111416008449536,0.9802378444525375,0.8955722884191242,0.9047554603870267,0.9105143228994529,0.9073460821260971,1.0271534629184644,1.0463163882341309,1.0239757245680396,0.9714777642471621,0.9928314813405326,0.8925149475432609,0.8422994922643132,0.8921427430594264,0.8790167610395562,1.0922179978191844,1.0569099962486301,0.8775108991247608,0.9879299118257312,1.176329651794018,0.9340052204373939,1.2664088056166038,1.2381699389733396,2.1069491389186394,1.9006060173932424,3.6539197976026325],[1.0816487069460168,0.9922648267224018,0.7902150822426898,0.7601029025109153,0.7699104070039282,0.7468731010249378,0.8023705724560914,0.8286200621544468,0.8711977375056996,0.9093949458509544,0.962573286839905,0.9316573111853359,0.9661372716227253,0.9971581875187769,1.0772850289516969,1.0060475430491498,1.0479218990589423,1.0796587854047583,1.2164808200826571,1.1242293723548284,1.190454948823119,1.2916722263547393,1.4161075396076683,1.5853887520620873,1.3997360604136644,1.218582381506758,1.158165143416661,1.0496960931401054,1.0278492240915624,0.9920792793296063,1.086653107966243,0.9878406372947239,1.062037725947195,1.0870626575665605,1.041999886587557,1.0576323963167618,1.000643724722692,1.1208234890492705,1.0928233617915235,1.1514765059707737,1.2561751390018452,1.2085153734006921,1.2407574065742804,1.3305381423640852,1.4208849238605739,1.613509038794121,2.2675984720043205,1.5824312887820158,1.7518398761695209,2.1797982594989946,1.6460138996672387,1.6658065290478672,1.4048676307607142,1.525238979447617,1.4290435716510723,1.3623757171402469,1.3386116776614294,1.2588411284983498,1.2693762706342686,1.9256156165407012,1.333428939017292,1.295143158652513,1.2329832736168382,1.4031801565031954,1.3163449596355254,1.1936079034553906,1.2770407510340145,1.1772505584130049,1.2891329851050588,1.294784998564681,1.401596217540705,1.7731210686704,1.463717161422014,1.5365122766174413,1.23098036691944,1.5534377248264082,1.2142197309292324,1.2013204253741534,1.1587521822136901,1.170226935861786,1.1015473603726598,1.132072726454626,1.3090577132076018,1.349567191179137,1.3050661013383538,1.0341617839933999,1.0953145331997185,1.0838383017425834,1.0941056563375602,1.147805052372017,1.1526363926230736,1.312687052624398,1.2729805547851853,1.150457869425442,1.1065101567282882,1.182801737692151,1.2369538189633968,1.0669349335256129,1.0097158333162488,1.0195455097749568,0.9696532953046807,0.9125996831549924,0.9203155176222094,0.8779230587600989,1.1484716712792868,0.9216319034190585,0.921066656884016,0.9634893705990646,0.8686988742596236,0.8562955756124845,0.7944542077200047,0.7992078583682637,0.7938085582940904,0.8315633896457431,0.9072086404580844,0.9202180155089992,0.9759826928602366,1.0560954198700576,1.293288102955051,1.0972044635521994,1.1097769938676916,1.0013309886433186,0.9842726370075581,0.9151480282050636,0.8663744468809083,0.8092963061401803,0.7795551456355809,0.8502460478905335,0.8750196017677552,0.9987364829185659,1.0805373591585703,1.1644658803103696,1.2162002317928886,1.068248449988319,1.1053906241583245,1.1307281010637613,1.0662577815903644,1.0559712179283822,1.0032806390422397,1.0397906446009364,1.16775000269215,1.441613931610856,1.1473757139397243,1.048196039074937,1.0613174133911683,1.0017744988305952,0.9592060623805388,0.9442298636846581,0.8644861312750708,0.8852335150782992,0.8160795236860404,0.9167413391974685,1.024692102983206,1.5601394141518508,1.3771142823825464,0.9305590154336884,0.8962657959333088,0.8511916768450006,0.9039108320320227,0.8772221862184603,0.9277818510116144,0.9758459633144532,1.0160156600511991,1.061590468844585,1.1350590274247268,1.2444047332822628,1.2957380152907694,1.594972037632633,1.5195557156290915,1.2953485488403178,1.1690299878570973,1.0542750748896674,1.041969396993048,0.9958730163118009,0.965230649678386,0.9564283250626753,1.0218022534991265,0.9940324436994616,1.0266774379211132,0.9708456411660292,1.145312831366724,0.9691129484306558,1.113629149271507,1.2398201121851131,1.1868772479540128,1.284060642438572,1.1944714795332056,1.4772377446799583,1.7992527611518718,1.93535254214783,2.328354873620464,1.6740592529028318,1.8688754672815848,1.747496658276981,1.5453392218916269,1.5008707772920193,1.3301947320168912,1.3250511191207437,1.187694510448924,1.0996678937677349,0.9835655331042596,0.8269298968525279,0.821582282324377,0.8612585550823822,0.8038293619743452,0.7683049949516605,0.7902978787204569,0.7989412643891404,0.746326394139271,0.770580890050529,0.8220055181399033,0.8692613428571074,0.9178738263367608,1.0191496254139147,1.0759750756372322,1.028561862860083,1.1430389731041941,1.005043149279317,0.8881753017468584,0.9122977165600457,0.9943344240877952,1.3833531999274664,1.2938094079582205,1.5241159481885749,1.1344602175663427,1.0514385346424506,1.1657317867161783,1.253801971690843,1.4046543780236278,1.2197929216898098,1.2806664966200283,1.5371159757448003,1.4351292546946162,1.3460973115486043,1.7061868182726563,1.8103507349493317,1.5294968983155433,1.7298237609835783,1.2284166225594353,1.2455155873232189,1.1995417072531573,1.057633736127647,1.0619080341861775,0.9788895431573273,0.934312583981003,0.9255155658447775,0.8476353051880742,0.8422800616224148,0.8613455297598781,0.7911299201519577,0.7954542098792723,0.9004952370946956,0.7861113123632744,0.7953273098909761,0.872626718153837,1.1645024450003973,0.8963231016160343,0.9013905863175139,0.8288232048656077,0.8176014240344244,0.8169316089392991,0.8382864635491852,0.8642489459223125,0.8151847723787966,0.9050990493267637,0.9365969947906793,0.9023683149210424,0.9574545964220432,1.12330004220961,1.1464628216335973,1.011046811275774,1.1992758825617502,1.3837188595736052,1.5563719007243815,1.3157117719316256,1.0326804203303692,1.5137520422490676,1.3761148528709506,1.1382592827413904,0.9386171575910287,0.8400448229386384,0.8419068141155782,0.8760656325361926,0.832185854429146,0.9551344790199096,0.9538703538053399,0.9679840403782376,0.9202267544442037,0.9681770498138206,0.8406746762245163,0.7515463948604361,0.8067853934534482,0.7879934196920961,1.0208626310609281,0.9815770739619243,0.7797254417947695,0.9092053780917811,1.1264768157404856,0.8492967183380098,1.239188015221301,1.1762543858927632,2.115990427577679,1.7945342302756764,3.4401750914335567],[1.129387086717012,1.04455272651249,0.8506750530562301,0.8213076574499918,0.8158343914181545,0.8298853936580736,0.8667235492169115,0.8933211915265002,0.9508656489912711,0.9722036975218967,1.0165690305435242,0.9957522087102114,0.9988108745753994,1.0230505881620209,1.0872680635226466,1.0344301578707291,1.045898424498148,1.0545068508154325,1.1641145781229116,1.071681036967115,1.141232863245202,1.195595487902842,1.3650538635288303,1.5965331017987607,1.3996725560767824,1.2300762505868514,1.1049472372828837,0.9957977517991374,0.9901988951323962,1.0015657973116239,1.0678548780142771,1.0172358642616366,1.0649767646947592,1.0923405839767164,1.0338484171741857,1.0436372205254543,0.9893400381979773,1.0739270721400016,1.0337826357869513,1.083863376087254,1.1868236042279843,1.1665611488750787,1.2077861410879391,1.3047178111679143,1.397316411425922,1.6665139942420506,2.28435472908652,1.5245709477949954,1.8000117923841719,2.232894257078192,1.6457277144519817,1.6148850080050532,1.3379041972094419,1.4376483634322625,1.3021039683103675,1.3266307201699052,1.3259621068730578,1.199050683403576,1.2350626217519547,1.9298901173813552,1.295281160872605,1.2469951614679322,1.1880351773928426,1.2986607115723219,1.2561147567094935,1.150402975190759,1.246689639375072,1.129093676355303,1.2384088875579242,1.2087218970565157,1.3479055808110245,1.6984478086675427,1.395739411399014,1.460341861918982,1.191680794903141,1.524455432136558,1.1568086795006993,1.1588124800451358,1.109091338276643,1.124168643361235,1.065739387813373,1.089567314404038,1.3386616241867968,1.2772323673240165,1.2697470781974087,1.0139173678549827,1.0547424006292747,1.051856061529888,1.0685791265100433,1.1237673022206287,1.1270563327193606,1.3096640062808769,1.2424107907186526,1.135599362592972,1.1045016460128279,1.1941460081872388,1.2232485692832915,1.0893338491743907,1.0642178895867045,1.0855312597543751,1.0128561809230683,0.9713351781768187,0.9544048342524089,0.8968860688339971,1.1410180613213565,0.9031753797840419,0.9121490730043086,0.9165896287528116,0.8468242091810239,0.8728007687917735,0.8199244173408811,0.8094603816367855,0.8418470542807456,0.8445632449413104,0.9337560621742477,0.9195689699454294,0.9704404887781419,1.0120779308771348,1.1986440505290878,1.0731781017034874,1.1159980051712066,1.0198989953356583,0.9672218797511353,0.9240554999621237,0.9073407104106602,0.8394177161307447,0.7954975398784897,0.8468415890194879,0.8446890397936901,0.9496026767991277,1.0306108407599655,1.09300555096584,1.133443887460449,0.9916700805625804,1.0493470813740517,1.112171749800536,1.0481539579038137,1.0281607708946305,0.9609400346663028,0.9874751530205832,1.1051514465229617,1.3151660744237919,1.0696247481458616,0.9842577601093038,0.9957979215916465,0.9733795111275504,0.9404022646930975,0.9594347903734592,0.876894385143597,0.9355649274711098,0.8798704860003758,0.9961094030714679,1.1094998173369135,1.669546565742574,1.4675477128370744,1.0091817974036241,0.9565083547211067,0.8962182543540759,0.9342161814361846,0.908008203884805,0.8988321414665049,0.9456123863282525,0.9576734672676488,0.999112600769478,1.0495004015706695,1.1504167985611995,1.2116423472500544,1.5282670023653784,1.449146089031721,1.2512165059598739,1.0986000100777407,0.9989997290129267,0.9844147289074587,0.9597124147222426,0.9377991233822786,0.9323038402553444,1.0182232500231814,1.0033362886134427,0.9899461740309753,0.9192755551709927,1.079912842241055,0.907749183755566,0.9944593278344186,1.1399958992694277,1.1107430684150006,1.195736420795652,1.1265629373689092,1.4346248108219672,1.8227700683113606,1.852288163410756,2.1725320868462097,1.5830933234042508,1.765659237911899,1.660151165708732,1.4322065510535502,1.3622543608247604,1.248912116373788,1.2294824031873406,1.102019121117325,1.0643359015875014,0.9285102964719254,0.8029137987051888,0.8133710196481917,0.8442867002223973,0.8071073869983576,0.8134034117977107,0.8233309144452463,0.8241200591173587,0.8102461031763833,0.8412211259893007,0.8750390423130067,0.9159943366111704,0.9837078230349984,1.0666421077741681,1.0766491251438262,1.039480522914334,1.1752180493821693,0.9996112207439097,0.9198701747120978,0.9280133694543018,0.9602886943205455,1.2974471181027003,1.2233180600704212,1.5511658585121713,1.100385563795359,0.9805304962042256,1.070205520924554,1.1356666272505513,1.275316646524505,1.0880540123925921,1.1784944047342922,1.4006544779105892,1.3475420749526323,1.2234497616055924,1.55966591111123,1.7017148205913206,1.4237982130096394,1.646017922484307,1.1329362044487012,1.1603950852333604,1.0880363056761189,0.9846921210939735,1.0206812664753921,0.944183141465731,0.9370861619352279,0.9161240882062194,0.8579641298418573,0.9030645268336588,0.8930724134392227,0.8437150644746809,0.8807833522818579,0.9948743650707682,0.869220806511857,0.8593754403543132,0.9738736403018756,1.2461018245935658,0.9639523954294429,0.9606649100732669,0.8647274619888431,0.8626497942128567,0.856424221281709,0.8514731940002398,0.8855375759858869,0.8418632150800224,0.8829723280965533,0.9161434196234649,0.8995287903097732,0.9230290217273113,1.0447550906056942,1.0932244658644468,0.9832745947546154,1.1414634158002621,1.2835712266830612,1.5365427947920018,1.2576966551201407,1.056632524552643,1.5073406458773935,1.3964303745968905,1.194937540977207,0.9894728697089437,0.8699258319976636,0.8574992349427967,0.9139971015388738,0.8756238403924752,1.002754020469895,0.992821999105732,0.9776534418329319,0.9179031342743856,0.9342387140137731,0.8447997450013399,0.7861698878209126,0.8602315058443422,0.879136566248697,1.1624195225944667,1.050276458926183,0.8838151447448379,1.027545915552847,1.1980622452475498,0.9587905956545465,1.2902098092368242,1.2962321146447255,2.340138630785278,1.9956830655847881,3.3097818521619433],[1.0166137648794877,0.9487862602911417,0.7542348953526039,0.7151415737786322,0.740592531637523,0.6948129034483139,0.7343169326698609,0.7512699395999269,0.7681416606639363,0.7777633006073518,0.8067674626065304,0.7894075612024751,0.8133639057854297,0.8175020284141373,0.8617519708976742,0.8301018994599201,0.8483921567623678,0.8511362580518455,0.9825947116559851,0.8949175257802696,0.9663179598228355,1.0332955159853066,1.217787650107322,1.417416879324881,1.28225700882092,1.0776387774050378,0.9538850549008905,0.8340964670189874,0.8088132629056415,0.8143019187780064,0.8453398490960147,0.8142790550667787,0.8346305964211742,0.8734656534061673,0.8417188616368212,0.8616662160108488,0.8266547612590399,0.917962978498387,0.894837969944946,0.975362451767255,1.0718402256217479,1.0207920635996142,1.0604616738070605,1.1695970620630685,1.3016856985736454,1.5857346281893658,2.220863130514606,1.4444497649828727,1.6813878548886612,2.237125825256893,1.5663876779166335,1.5785180108384602,1.2489219939662755,1.3174465548886238,1.2248319229326614,1.1848724445395542,1.2053515531859427,1.0755245680881822,1.0972717113236294,1.7962439054787054,1.163595252598577,1.0961369593404537,1.0082521004290512,1.0864845661413165,1.090328463150139,0.996381062555331,1.0442473118995759,0.9184364045717561,1.0382046300875278,1.0167734229062348,1.1647078962114261,1.5048601947486393,1.1864826345774437,1.2713583306946084,0.9669935856431294,1.3419782734877406,0.9603617026432717,0.9463224767205412,0.9213685931820488,0.9838491177328539,0.9126676854630069,0.961738272403394,1.1992034134342333,1.2124738706945333,1.1894819383465203,0.8762224387389719,0.9068371145925637,0.911818765337321,0.8942384400386348,0.927023483999118,0.9077955244328166,1.0984621304181263,1.017533506520978,0.8811077698273856,0.8579320669601327,0.9447994903687326,1.007379578889942,0.8629844814009054,0.8604993919282553,0.9190031855114721,0.8255475606369678,0.8510380439588695,0.8179516458052487,0.8003256688577208,1.1028421549118441,0.8252611277575126,0.8838039026672962,0.9031674264304712,0.823567174607866,0.8175187165689819,0.7494584722492441,0.7250418191348665,0.7171950209883486,0.7378997285489013,0.788190193042402,0.7830756773650532,0.811817106611896,0.8631359054502493,1.0355848055867205,0.8835537119888235,0.9331623285514776,0.8518993152244727,0.829593545070639,0.7823723223459583,0.7546173790496365,0.7298946520275387,0.7154674195407384,0.7880674510372164,0.8098890443636061,0.9073725200471772,1.019678270956734,1.0925528945906258,1.1217341112670063,0.9637826131662515,1.019144463834442,1.062544489414315,1.015952704688569,0.9816942946720173,0.8759140479281788,0.8846069875939233,0.9673378891164405,1.1885398532963796,0.9262345689059716,0.858719420312496,0.8767719134700689,0.8437116372270618,0.8183095875279547,0.8357817499309818,0.7529122971627352,0.7815575249008356,0.7350761867111321,0.8338752138686226,0.9923558857714326,1.5061327738726509,1.3175711843803295,0.8501492614792907,0.8002061916069427,0.749336161169341,0.7849698550216878,0.7885417525129161,0.8056444313911464,0.8280492928123635,0.861738315483069,0.9005962010023599,0.9817293092097791,1.0742739227304423,1.1802412711630241,1.5071935540589898,1.4547238946720753,1.2442141512916995,1.0703617643197387,0.9407700898380098,0.919316997182511,0.8797482934232137,0.8375380613925658,0.825074701992102,0.8832709228714983,0.8718121614983194,0.8857309388653487,0.828980038243026,1.039219546886896,0.8448593168916683,0.9740169512865905,1.121331074777075,1.070536428625618,1.1325357232468223,1.0499083794148822,1.3507339691236642,1.8738928530893328,1.7821441558079776,2.109925906709356,1.5191280863806458,1.7215727156317409,1.635355470101452,1.4210249511839497,1.36836947882225,1.255000720184188,1.2444671155576383,1.107813037191875,1.0345496546291397,0.9081214952085043,0.7578589893192632,0.7612519533952374,0.807180774545653,0.7585095013422147,0.7459900829888906,0.7617492658117078,0.7634745381975628,0.7404980766268026,0.774995950171796,0.823240623714926,0.86245576117053,0.9323603745776008,1.0282358295774385,1.0540299342192487,0.9957379772278362,1.1294900625979976,0.9431605807585487,0.8531257142830903,0.8586475085818797,0.8957503447571548,1.2657571958356526,1.1648176632528204,1.4910537186586352,1.0664498791486043,0.9609170885177833,1.0742853744616108,1.144404013263251,1.2787255786723823,1.0966750558671061,1.2007759455952784,1.4095637164912915,1.3410904465737745,1.2440893172187404,1.5698458360221088,1.7194601940540313,1.4345095206779401,1.6396167760673561,1.1347484968579018,1.158350436701616,1.0994723559589628,0.9838111842254114,0.9961635390046494,0.9018793331543926,0.8947626370919787,0.8793662281619118,0.811040379027046,0.8150566321392066,0.8308718223261901,0.7749621085165856,0.7868704002417077,0.895973591857725,0.7864979188388186,0.7848020256613908,0.8755093408384861,1.1475612278954284,0.8885577807719695,0.8846690916459563,0.8072515590051998,0.7970368347374623,0.7970065080072349,0.8028910857415604,0.827986674356205,0.7848739922237457,0.8381200643900476,0.8621823864296282,0.8391916100037531,0.8844697905216695,1.0092487467132611,1.0317203529780474,0.9371609119597105,1.1172264749592928,1.2570742616799153,1.5134839616172848,1.2330762798852306,0.9968877238575791,1.4689870552615396,1.3352521467060532,1.1145271075250693,0.9219736564115589,0.8027806670430033,0.8170491069463542,0.8515147694422825,0.8146510241178403,0.9378333501176125,0.958067814949385,0.9442501584043582,0.8823520987434718,0.9077498668349766,0.7977314238375501,0.7244337685191088,0.7847184213574508,0.7731211001556567,1.0303661476343435,0.9624679924265882,0.7671198610041802,0.8794750040596361,1.0903881593944382,0.8022469883580007,1.2032345393838415,1.147472646561226,2.0595375409081096,1.7161393041312705,3.3073597907284498],[0.9879961605263837,0.9513326503730489,0.7738336717222173,0.6864919791440283,0.6687784993565175,0.5976955880655638,0.6132691357235349,0.6359415553950475,0.6728919514418037,0.6785432326956127,0.7380861336292937,0.6996678760776817,0.7298228722655589,0.7669796453442609,0.8529291474412716,0.7651266482048981,0.8129921072082924,0.8465230335228103,1.028575232345789,0.9178504404623635,1.0286010333958895,1.088722717017051,1.3165791329909375,1.4940659513447627,1.320850057648529,1.0916730268410504,0.928199052272665,0.7990536462487404,0.7820011142121656,0.7510066897010566,0.8403698948188291,0.7379084401758635,0.8021203440936904,0.8613344266756107,0.8061599817712983,0.8390216915939526,0.7462040103549982,0.8658568201846414,0.8237755527147013,0.9048491291321987,1.0639041961649485,1.0016456903567121,1.0416317077942996,1.149729567955237,1.3286961627294853,1.5068955246124243,2.198878852543328,1.4356643855143718,1.5681813645148466,2.0703143550050376,1.5232408505883206,1.5577244250153848,1.275724156915156,1.2971089701230996,1.202882513444809,1.2050337922688759,1.1946047419797474,1.059453817040547,1.1024253656920417,1.8587198582705564,1.1973752315767512,1.1263330898128583,1.043462051879237,1.1498203484760021,1.1469733743919903,1.0181694004585369,1.1054824375727954,0.9763308529064508,1.1195142653815517,1.1240295246229908,1.267572489551163,1.656467617086934,1.2913738693466343,1.3661900596542145,1.0487154782317432,1.3808694543678572,1.026720340350241,1.001590213648452,0.9273911882942446,0.9526613510193163,0.8589015458647529,0.9010862720877917,1.1205974416797706,1.1521530150623818,1.0852777009593617,0.7680381534861416,0.8504629920106395,0.8535516878691101,0.8747271234522233,0.9194358179299157,0.927682477191745,1.1459389488471172,1.0684463109812512,0.8923223123884658,0.8588298474216988,0.9430900122559017,1.0404970827396758,0.8521801147426514,0.7840457770316875,0.797296413583201,0.7219286032457937,0.6988957125965425,0.6632864699648588,0.6655897912179904,0.9134385762313105,0.734776140023813,0.7480857910353566,0.8335397939167617,0.7208956549696814,0.6679335159324998,0.6245276447324626,0.5783195353710351,0.5528906244676662,0.5666227140988557,0.6686589034530508,0.670639026336992,0.7526039522306727,0.8255935611740961,1.0914202961919104,0.8963187361468868,0.9346506273649551,0.830351818243053,0.7733125234715847,0.6821634940578057,0.6337002555172996,0.5684315295366484,0.5989893261540857,0.65742298938963,0.6846004386039976,0.7736993047264672,0.8997919808962513,0.9982751514117699,1.015531387172549,0.838803649143244,0.8686914579233019,0.884179823783055,0.8485267129760931,0.786495472757798,0.7131572324971116,0.7227983454599002,0.8522341782768135,1.1589129686023356,0.8876886927168091,0.7754384316274328,0.8009795063303616,0.7512062387974355,0.6996078524509842,0.6838211107924522,0.5959696820761067,0.6544277305699763,0.5898285653303188,0.7385317425477702,0.8728937437548829,1.4032944564662548,1.230307188743812,0.7339300269113034,0.6827673049145988,0.6085773822853768,0.6527313318816852,0.6354859494395617,0.6556766358692557,0.7118778262260455,0.7414458425022098,0.7864099786464295,0.8965235680205512,0.9923321454470545,1.0697649770770314,1.4208606007100886,1.3450248996005332,1.061002132806448,0.922638220735879,0.7752761656664137,0.7645467995584977,0.7239745120276252,0.6900388614014943,0.6926009081292499,0.7630933375541781,0.7337232982675943,0.7438217680696414,0.7041932769458472,0.8876105199918869,0.7177641120734661,0.8917191548367844,1.0516278363142524,0.9722409922556843,1.0806100541856156,0.9595566599045078,1.2829148477797014,1.6417778786503057,1.7335108510228883,2.1421405014024923,1.5011432598676355,1.702879408481467,1.5881369849082785,1.3827829581000857,1.345418555755811,1.180005089467868,1.1899501934148142,1.0912072052717414,1.001394581974961,0.9310981242077165,0.7701758782721221,0.7459656109764418,0.831492468723682,0.790134394751841,0.7571604104030271,0.8009452595956219,0.8292979745529651,0.7775275589127968,0.8213961779366697,0.9049708720075057,0.9414697408021937,0.9691237380545856,1.101980325108062,1.1497399908548136,1.1112786535627603,1.2016303704370181,1.057936441241631,0.9429244308560112,0.9675144602174313,0.976682926171637,1.3645380767343207,1.1942319126048928,1.4953453446269898,1.0808184318353138,1.0348473334455868,1.1679003523537619,1.2342543896647968,1.4054664235191603,1.231491044004077,1.1969643759279018,1.4402392986067112,1.3365955326322878,1.2649839340223707,1.6860990285569404,1.7105047792572872,1.448164018534506,1.7347744946145875,1.1688094135816924,1.1465412504695005,1.1064868565085149,1.0118869843543408,1.0229111870854914,0.9429433879355211,0.9154758920500123,0.8785723657184553,0.8503885395261302,0.8095578593562387,0.840545548269865,0.7657915188107106,0.7758742212026921,0.8730774209347151,0.7963596750990856,0.8005329031522358,0.8722731664078958,1.1537286164417742,0.9194206731636575,0.9083581372078479,0.8636261291719634,0.8457377159665013,0.8143587955638387,0.8189566223558636,0.896762331939903,0.8464997187452878,0.8964249817721706,0.9293918202198509,0.9075490774359251,0.9287262100048475,1.0726353398442874,1.0972880395647804,0.9880369301587125,1.1360925297076847,1.29312346345198,1.5057328953566802,1.2709757422349715,1.0425631101197526,1.5357148450407185,1.4013845562391483,1.1594776305735786,1.03185324720241,0.9086567731817622,0.9169296901099844,0.984556409539757,0.8850972824200246,0.9648307142942991,0.939144057106693,0.9673794492069675,0.8602346914731208,0.8590330584436797,0.7116856173881769,0.7159395264153736,0.7212335096282706,0.7273464238450764,0.9508830374585037,0.8959618181187546,0.7525958121778445,0.8328612047368754,1.0513913210670585,0.7638953556403172,1.2303893147144676,1.1292665930501944,1.9816405286379193,1.5837724135345796,3.082116653638566],[0.9571085742289384,0.9111644978594128,0.7322180148138101,0.6760940407415754,0.6854260934962552,0.7030697791935594,0.7742332301312475,0.8141151654937854,0.8927570155373141,0.9272234627712974,1.0010153194281897,0.9478025151634413,0.9899412797731597,1.036601835803443,1.1358669299839041,1.0365383123657117,1.0792495924823609,1.1114550553097344,1.2350673587669827,1.1468436200764975,1.2255804127353007,1.2669110624613493,1.4488824329976344,1.6323336894426335,1.4564497990287657,1.2727234347438698,1.135995506087787,1.0309758427001219,1.0314669071380627,1.0124506299451437,1.114280407527963,1.007675718371423,1.0917319239570897,1.143100801582143,1.07956200355774,1.1067701057651174,0.9914164630079454,1.0563918771929903,1.0486115934192914,1.095381390488994,1.2186164667782657,1.1985159079947982,1.2326708540890408,1.3188003028456972,1.4238411325571267,1.6121079221031873,2.2464739049262024,1.517471545153137,1.7392228181216305,2.1124535251700594,1.6081884802922661,1.60793108019721,1.3489362939829452,1.4641500978196096,1.3192571722479782,1.3496008079564124,1.3350909566357814,1.2287755007116163,1.2711533467334037,1.9953129404508334,1.3678813809064803,1.3201222315741956,1.2616905703116044,1.3648916777533933,1.327406623323418,1.2263064708315987,1.3153628463429055,1.2192326794424115,1.343652063134275,1.3658252181908965,1.474697283558716,1.8302340371374533,1.5350487840744733,1.5687507330502846,1.2937742298001513,1.5737995468371742,1.2635840673686944,1.251029403040155,1.1616431474116802,1.1665577554168869,1.093049318225812,1.091061170641404,1.3524886739813775,1.306826210141682,1.2822608104551387,1.007519901096856,1.0754441601299884,1.0700042432030108,1.1340970064247204,1.1658943023989854,1.1878097353876305,1.3709344857839174,1.3133299133404341,1.1953857553415266,1.1635540791237717,1.238585683512746,1.3232555917161934,1.1210597746963415,1.0517809895596628,1.0433685100115209,0.9698296342043871,0.9228419389602119,0.9115345064115105,0.8854420678095837,1.0705170037766272,0.8556355283589323,0.821885477950079,0.8543855421557122,0.7454641727035666,0.7627423025784097,0.6982613132818485,0.7288349285606418,0.7513205168136103,0.7781243453019812,0.905747448953021,0.8960314114405766,0.9960246558655027,1.0321403855182336,1.2953183131537471,1.1389551604232757,1.1666510799226895,1.079001708455008,0.999155279429677,0.9067849234383804,0.8529963484402844,0.7610147672826191,0.6941528056339253,0.7540068726548025,0.7468154763924406,0.8533023479315727,0.9240522722137035,1.0007419671663582,1.0532844016188838,0.9124057422652645,0.9584014217289438,0.9739562612230567,0.9116725389472333,0.909351423111039,0.8973250688312597,0.9454165323224246,1.1015060531678136,1.3724844895058366,1.1024639317455713,0.9926748644454627,1.0159890183518117,0.9793738085789608,0.9299506306473294,0.9286881718308531,0.8345055738525843,0.8938667155206799,0.8122715699563358,0.9361403141362535,1.0003528192042046,1.5289711812213285,1.4123952448620851,0.9624880472394992,0.9165171029480792,0.863894300796736,0.8946519735102136,0.8433863940191485,0.8478254877253275,0.9319673795753457,0.943655913697911,0.9895969234495209,1.0482170352784412,1.1507256570828053,1.160658721549427,1.48388292635641,1.395097728979944,1.159513177303775,1.0281763383292124,0.914655343268926,0.9168640772819736,0.90283475191829,0.9062647302299818,0.9037052540815877,0.9930140174394761,0.9414391137901139,0.9557607674984735,0.8869163790761277,1.059973661003216,0.8715844991904684,1.0037470424252737,1.1228934395744719,1.0748849875355786,1.202645182436881,1.129231564270152,1.4444221036517104,1.6999718231131309,1.8556588766527393,2.211055242952565,1.5928742658153456,1.7606298729829357,1.6289493609681482,1.3922018101135876,1.3038651026222494,1.1705918218612865,1.1449926146752214,1.0198148686531219,0.9585574886262503,0.8386481496108896,0.6996371593252844,0.6916481657883571,0.7274817371013536,0.6765768028285034,0.6770699921355353,0.6939887266519127,0.7078748927786289,0.6746006389316189,0.7254256256702549,0.7740219280114499,0.807232620279859,0.8726740322820972,0.9760177676394485,1.0134500063866847,0.9758405453826114,1.0975356984010038,0.9114871651647559,0.805054910236229,0.8156438932959978,0.8327334807267998,1.175627774376069,1.0598373807618737,1.4404011127715164,1.014947243566768,0.8961757645423499,1.00489980270723,1.0939813042183721,1.2210420519192808,1.0696966527796499,1.1046984825963968,1.3396052612326532,1.2565165980496182,1.1595243099586774,1.565311310075512,1.6067582547725594,1.3525910229037073,1.644311544208542,1.0703477407689903,1.0912065362761325,1.0393195521315286,0.9270090170566035,0.9735855241711134,0.8946163998197111,0.906965397119587,0.8486107516732082,0.7969406956298922,0.8112502878539961,0.837260534850302,0.7110252439847748,0.7340145184411166,0.8466101362446798,0.7342902911827527,0.7294665093988904,0.8249451188889372,1.136920782486644,0.8325742561956486,0.8073835493136116,0.7211550287992161,0.7151733359055579,0.7146569352391774,0.7185022655602227,0.7472838665278673,0.7143172178500881,0.7752292612873086,0.7917253705617692,0.7699035799646974,0.8090048800577401,0.947494518869944,0.9688154644453356,0.864263135752499,1.0352675461377023,1.1798204327036752,1.4418596721307315,1.1858735249757566,0.9228137649373851,1.4487730387329647,1.3150170697665324,1.0596962328710133,0.9057999135198338,0.7726448263037674,0.7777852334430337,0.8674926214731818,0.7595296947412766,0.8602842478965332,0.8672952973792575,0.8596184920697013,0.7877402298473308,0.8112973408313721,0.7054882979878239,0.6485699478426105,0.7109295784222373,0.7398520714849723,1.080110715838063,0.9243885825340953,0.7570276633146663,0.929872495762996,1.1336881625599249,0.8320763666822845,1.2081366226811352,1.2852258169215196,2.2734385879086707,1.7674322085473422,2.8846899981205154],[0.8182819906649931,0.798797094159704,0.6578547097853816,0.5681371219180904,0.611914872775995,0.5601529522285987,0.6300904701687832,0.6624194864247253,0.715677266638648,0.720993255218666,0.769642575003893,0.7303761762972755,0.7711244499008537,0.786401326816382,0.8642502320144992,0.7889976016391783,0.8343588380151405,0.8460975115932569,0.9841261542466933,0.9173449282850503,0.9914057206113718,1.0630391305653277,1.2452448532615936,1.4542733818885176,1.3059743103598918,1.0901573989872555,0.9701702906977641,0.8304884000651679,0.8050952831339027,0.7879193913878408,0.8416756304973014,0.7828435582909954,0.8321421846008434,0.8726458802826218,0.8320418034686993,0.858789623985599,0.7984217614734901,0.9074228642342879,0.8906756969790126,0.973181558106592,1.1105638831752742,1.033852690405493,1.0834162821016988,1.1885969458082413,1.3341928991440986,1.595488845979336,2.2256379844463967,1.4276104156339322,1.6653176509786118,2.1681989456008646,1.5472808035529937,1.495404129976102,1.2465126674020814,1.3576714308598528,1.2423330042655998,1.2200645146974456,1.2050453690055458,1.0856058154586885,1.111318462169982,1.8189808232814613,1.1810233575117728,1.0861421530073514,1.0150684026130308,1.1075707840941102,1.0993179657625334,0.9928629515389689,1.0614385953333014,0.9402640786041128,1.0544775489779996,1.07439551486842,1.1934966735521362,1.564769761890201,1.2261180599019172,1.2854087427950238,1.0028818440194034,1.3468456432729983,0.992377712897095,0.9809689361585545,0.9335592703303013,0.9375827733170993,0.9033726670554436,0.9448686259679028,1.212975214182284,1.2108745280504347,1.1941519172542998,0.8556002012955984,0.9003192850590107,0.8924342935483593,0.8931599451828732,0.9287898194695061,0.9161053038867715,1.1052798300264308,1.0302380616972826,0.8835803054782688,0.8638198016504014,0.9384266764480158,1.0386098140302131,0.8728217463497341,0.8186945312616893,0.8465667642781148,0.7791972466440849,0.7573666063208966,0.7504745356976654,0.7298059454113404,1.0049757321091084,0.7639654304022147,0.7832991923309416,0.833221088389328,0.7232249439073593,0.7138521963768911,0.6299488136524101,0.6257404122506053,0.6115807878606514,0.6411199645793006,0.7151804191183716,0.7212465050995064,0.7881050232903359,0.8525811244777697,1.054326733455904,0.8838744083653677,0.9226174862463387,0.8333374011927449,0.7878518746319371,0.7215577610725261,0.6839821441767708,0.6486358735272115,0.5910322542781901,0.6890921543382145,0.7092633823144237,0.8303400317823065,0.9403804006105906,1.0156155315842086,1.0758421786621004,0.9037404866663672,0.9720818455690667,0.9823252680370648,0.9460798968757447,0.9242835849619666,0.8632523262527932,0.8738509565831268,1.015948230990518,1.2570301296250044,0.9584179602315631,0.8500695539379296,0.8698906864555097,0.8063365508417127,0.7698566347842086,0.7589335919251989,0.6738144631617928,0.7231090628992011,0.6563067498519242,0.8056629644666918,0.9261771479596407,1.4598918466771555,1.2770778519453738,0.795855766687488,0.7348628057697731,0.6795563071440008,0.7168403165182671,0.7091278967916645,0.7354756923972531,0.7963027108686574,0.8441532462442056,0.8889881695440323,0.9971219562768411,1.1128769147177582,1.1779269697441492,1.525184329195351,1.4440168094038615,1.2186580781028336,1.0551720327745084,0.9055585215563108,0.8802257440841791,0.8346047065119855,0.7958150502317052,0.7872666128856322,0.8515160396566298,0.835871431557123,0.8430314385426384,0.7924747438220627,1.014022264509694,0.7955027644759639,0.9575689581870183,1.0849167092153182,1.0459816846576802,1.127599246145272,1.0478165999980331,1.3976623952392206,1.8067698295259804,1.8318333062623757,2.1657979228782454,1.5545547493004812,1.7570786632187911,1.644399048042307,1.4093331309888715,1.3228111519151855,1.204149254425458,1.1687548816431224,1.0268757873613399,0.9587679984160283,0.8324580956432647,0.6778781125129009,0.6745165407019514,0.7226116035615864,0.6640085873510496,0.648888163901831,0.6741866484154706,0.6787823842377017,0.6375885406933305,0.6873267983174935,0.737001905876494,0.762604145733675,0.8304916359330063,0.9359062198555956,0.9559681383760249,0.9130101668045099,1.0594089554101411,0.8657942017254204,0.7777483598903799,0.7813057233860418,0.8106299830158448,1.1675893046154278,1.0185105913932135,1.4323804314138238,1.0178295297585729,0.8850712602096305,0.9824848978814257,1.0792243236194417,1.1672999020662416,1.0351619690020093,1.1017982555877048,1.3144461356479487,1.2566495845228234,1.1464063589506936,1.532488195074153,1.6072715041862589,1.355792021431319,1.6364677153879006,1.0636434569023967,1.0992316520376397,1.0347431850223876,0.9172436849113095,0.9567702181745977,0.8613906882867755,0.8776376277667358,0.8194724566541876,0.759279304014775,0.7666582362793446,0.7783290262046177,0.6787092767737994,0.6874361687690014,0.7972907229776177,0.6768670728710265,0.6806595855558536,0.7751280415173821,1.0561848835318293,0.7842117095509328,0.7578450342427835,0.6799928589141586,0.6821484039827107,0.7026338092638391,0.7161284935598535,0.7240878681934223,0.6884792212726369,0.7622642776827526,0.7838218437160539,0.756343381553981,0.7994138362482405,0.9328028829720066,0.9673840632319421,0.8593033949990616,1.0384494578038792,1.1573714500154746,1.4510539105120681,1.1925678074914061,0.9180562102828325,1.4364583420883767,1.2798860605864368,1.0384044839210727,0.8902876749604737,0.7421136111199381,0.7292801060263819,0.8475045091030895,0.7476548632528752,0.8707729708951669,0.9007152364252288,0.871826571860549,0.7910732846896786,0.817698848645785,0.6872455512804767,0.5960556104033338,0.662285323605786,0.6808693757608,1.0169341300646915,0.8586887100269657,0.6639068760310614,0.8182116033467725,1.0338761404835746,0.7028721585271633,1.131346977396688,1.1809171414701987,2.1544498429205174,1.6685230716594572,2.7669552421679313],[0.6196057411820624,0.5985861286610089,0.5178657900908715,0.3645574985793553,0.4588399511328258,0.4709088999989368,0.559439814431157,0.5972332056971326,0.6460408919718156,0.6316819712645554,0.680384145035161,0.6359372606226321,0.6407685273445326,0.681437258428321,0.7571858588582528,0.6665112204390302,0.7108608137093587,0.7289013953904266,0.8833700331993608,0.7816139720149067,0.8835760033493367,0.9503994398957878,1.1577582781412794,1.3561216256960138,1.2113993451924228,0.9654344315611402,0.8109446703906962,0.6894378312535107,0.6778671709501316,0.6589273377718096,0.7289104817817991,0.6465152105033142,0.6975591661104685,0.7247334758481535,0.694681006174023,0.7216706578652307,0.6504805824009118,0.7566221295349369,0.7264098849241752,0.8300879452039919,1.0103889564991075,0.8708028298794972,0.9247110496432991,1.0371880708666437,1.258513991555082,1.4860006650705302,2.173302374998794,1.3934106723960824,1.5181102967176314,2.1031065061169683,1.491387680794488,1.531088929208631,1.2234750489919206,1.21700026358532,1.1291532654232532,1.1114279018049575,1.0971466570407424,0.9447537034852798,0.9879424555988318,1.7533532884741199,1.0718018985867201,0.9739558532247722,0.8864699029545615,0.9543702460813805,0.9815733699117021,0.8751736360021695,0.9459326606853353,0.8366264626957397,0.9833283180556508,1.015123099256096,1.1599104455000966,1.5280776102201827,1.1408396198632447,1.1982566715081313,0.9060848376742328,1.2452324476765313,0.8821110600296911,0.8501287858716059,0.7874214306218302,0.8307425307541731,0.7584803893976882,0.8100853654219616,1.0354347809889903,1.1061863893146504,1.0443540082811078,0.6867879384884212,0.7412130487345643,0.7607058717177156,0.7514087217703452,0.773005564917059,0.7874748334367336,1.016996064644,0.9542570696325239,0.7526207387068471,0.7378550651316184,0.837660236939391,0.9467096185838304,0.7722716333051978,0.7041228958824856,0.7293812503811645,0.651115641651922,0.6596017081675934,0.6029615955211823,0.6297242280821974,0.9198231153129326,0.6837315910620609,0.7188788123051274,0.7708262076646336,0.633655230953309,0.6148545118504835,0.5185261561325577,0.5165532362840448,0.4914350994781083,0.4947588001758525,0.6038414198167364,0.6005696529783908,0.6644738623048392,0.7337141078559928,0.9543832771872879,0.7751911063972454,0.8224374705391898,0.7333801695325675,0.6939066430059098,0.59765282521471,0.5649432479245255,0.5081394263880222,0.5155055926434373,0.5737400926083356,0.5990021192656195,0.7180460505563498,0.8340346819460741,0.9404942547842833,0.9961774985715937,0.8147577426015709,0.8548381067125658,0.8378440071609556,0.8111788712149338,0.7536064009740515,0.6669942424688675,0.6701579530205676,0.7681225241933759,1.0679859088146215,0.7786894324690217,0.6897413874063804,0.7143925257500693,0.6664646392342504,0.6260649354457046,0.6241677981652058,0.5294932119014365,0.5991999047298316,0.5456126929507983,0.7156691928776122,0.8312751645538504,1.3463723862842327,1.163631526800129,0.679297456387188,0.6261448392390595,0.5616028852930636,0.5880255125569623,0.5976833322737634,0.611715006412887,0.6404208497749931,0.6802991643706913,0.7290168029537237,0.8667009050342465,0.9766972672265579,1.0742203005818929,1.4373608345810984,1.3711511830701362,1.0877428756709058,0.931282919532019,0.7646581573672375,0.7498379227640478,0.6974483853659844,0.6449763015322637,0.6416455025743766,0.6921278924478479,0.6557750922142002,0.6951138482078607,0.6623684269869862,0.8711395229095521,0.6808203037567901,0.8695096063838865,1.0377697763015412,0.9680157607850808,1.0666503273084043,0.9229673872824561,1.2428498362321647,1.6835128185828359,1.7307850101651356,2.1243252120332885,1.5024370793379438,1.7010081387129283,1.5912891474152495,1.3663889843833248,1.295795359611539,1.1295405884974625,1.1011181618659371,0.9655207781879459,0.8766009664209382,0.7666956103345248,0.5922766330451447,0.5616859729974972,0.6235795258474071,0.5627353348683476,0.5382860731265537,0.5597164407575503,0.5833679845506962,0.5437355832683995,0.6266143920000502,0.6880612890783157,0.708150833592502,0.7717568385532547,0.9133688079185969,0.9457869901733459,0.8653407870790049,0.9799618209107187,0.7984243581305315,0.7001406577308799,0.7063662725012523,0.7440318809681327,1.096596406730112,0.9295908792989531,1.2949023063613905,1.0011171241538777,0.8779303453163002,0.9687248907359546,1.0899647719169594,1.1859434232637205,1.0638556040153502,1.0824157927522917,1.3195038315447936,1.2201086459823844,1.1424878666533058,1.589927415578218,1.6057344882128874,1.3220485516406157,1.6456734873805536,1.0215061734422295,1.052433445347343,0.9968150712761398,0.8639168977282824,0.8849847913637613,0.8160592475531712,0.8327377274632738,0.7505049405859845,0.680997312637318,0.6984287575763176,0.7132041230795029,0.5737795513796494,0.5713810005498452,0.7066445832324086,0.5752807433256778,0.5799416947761351,0.649085543107093,0.9450898422372334,0.6989918550438224,0.6676444186598681,0.6085643023197591,0.5819407630177308,0.5956612627302522,0.6383116507289442,0.6407716204497864,0.5960751665439828,0.6896369492787514,0.7196551979077085,0.6816402328233708,0.7302252340538566,0.8951055566102946,0.8899673918004157,0.7706980917199975,0.9777277180674957,1.1138749475192302,1.3831285388981076,1.1434374431173404,0.8043170303774514,1.3916196051917185,1.2437043126320453,0.9521854693894163,0.826296940859001,0.6501432596738675,0.6922633990182107,0.8103671591653947,0.6269556690559694,0.7290251668723402,0.763719251331922,0.7353324409403043,0.6543747065969897,0.7023922350796038,0.550429209071577,0.48291539890135105,0.5175425634623801,0.5023708013240465,0.8425868991595303,0.7026377386886841,0.49588905304181263,0.5840081250743082,0.8803564537920078,0.47319405868185244,1.0085860780335436,0.9618913809295601,1.7707689934869106,1.3714280999386146,2.753612400830939],[0.625080435196238,0.614394408884778,0.5658596367175877,0.4076302472043254,0.49641709836556197,0.5707485329287465,0.6885167775001858,0.73359744540436,0.8007884529291207,0.810060696083574,0.8699893654197342,0.8208951777516587,0.8518681707757626,0.8830161636361302,0.9798145108607974,0.8900391461180359,0.9324132190004751,0.9648779652220415,1.0978968393765067,1.0180573733449367,1.1030296209347044,1.1492413323685662,1.366232711681781,1.489487833050815,1.4002135401304794,1.1712775519304637,1.0162569062324232,0.9129907733338396,0.9039898664957722,0.880746807423455,0.95905060619162,0.8655299165759858,0.9312265737236347,0.9613503797044177,0.9341159550183207,0.9568711529968865,0.8695148851061577,0.980964220741241,0.9432323351371152,1.031950419851219,1.1688348928683086,1.088021778286489,1.1390800731229254,1.2344943749131307,1.396454256373159,1.561168275488685,2.253514534044231,1.5275237084669235,1.6634877719455925,2.114546345448474,1.6265088701476225,1.6552384687526416,1.4031281008122798,1.414265704658293,1.3058530660669676,1.3201529676508794,1.2781818090258097,1.152591694909177,1.2014239387717691,1.928954848516065,1.2781599932987595,1.2130177604323467,1.1328236604717143,1.1734376006480756,1.205266108998651,1.1058250476953138,1.16304839146287,1.0785706237504518,1.2012306271771862,1.2138896844901321,1.364031602836571,1.736730889454969,1.3486319598923826,1.412013667067592,1.1286988478584687,1.3979549292242897,1.1289017752494037,1.1059262622652717,1.0360783192575516,1.065026982019688,0.9759925063388257,1.0254310445487524,1.1884795724780843,1.270107756811759,1.2074807148843694,0.8867155858192131,0.9593256079103546,0.9652548934963932,1.0005897621526105,1.010291575901468,1.0193264811270804,1.2048657891627284,1.1686833336919336,0.9925227730306776,0.976166265411456,1.0546615430158603,1.16626174535446,0.9808239201174175,0.9043011898514128,0.8911134311827893,0.8513944599366509,0.8232756456508697,0.8045294207644692,0.8078389741453561,1.0485480649631729,0.8112467747414736,0.8290084610396435,0.8518018324219826,0.7040162272975586,0.715665065882881,0.5980226030339862,0.6425499005036897,0.650768063100713,0.6671920237072695,0.7917038569705405,0.7851302756946442,0.8721683862838366,0.9312408220729658,1.155949460420272,1.0052874274082038,1.0339059961148171,0.9321517602022523,0.8672721636657972,0.7878455243296001,0.7363940124235671,0.6935064524838507,0.629389878641124,0.673487993691854,0.6648997158983473,0.7948614871271676,0.8523775028658088,0.9637214774714132,1.0400749134617677,0.8947379455332287,0.9134913093983662,0.8458821944025777,0.8342996389310339,0.7889336941852252,0.7590146544225067,0.7972539433902928,0.9217129326398804,1.2183235217601944,0.9666744828993477,0.8746937472439736,0.9054461322882406,0.8700821202497931,0.8142735188903829,0.7983111383739853,0.7178310941651532,0.7857349108350881,0.6994186869993735,0.8732442304108982,0.944312223500703,1.4378560927335102,1.2929208094453648,0.8437480678089098,0.8082780208079876,0.7402509549953703,0.782023829186975,0.7654555722678746,0.783756296908441,0.826163361182344,0.8503415228958093,0.9048071088996698,1.0055707768880235,1.0983305671282733,1.167037040533404,1.5202791047658493,1.4148771955908137,1.1237893760151185,1.0033469170825247,0.8716057173585859,0.8855580931686724,0.8497319049600786,0.8272336395413237,0.8194297366526359,0.8792648016066552,0.8365534678076234,0.8838945750122778,0.8393326352211687,0.9837107002780008,0.8234596685822839,0.9799180743557707,1.1205974111267072,1.067284674675982,1.191407454174496,1.077604141193484,1.391902424229837,1.6387322605607606,1.8374685743136967,2.212956640246648,1.5812289342613643,1.7523345547550813,1.6297023609803125,1.4000567173337812,1.3219360138426497,1.130537720640542,1.079570511002946,0.9461820807913117,0.8544981588798055,0.7637508795895399,0.6073098504526131,0.5651232768564547,0.6164877369762605,0.561506548244452,0.5473664571059249,0.5634894176978932,0.5828463315197452,0.5507532638782682,0.6406699239786914,0.6982441048307984,0.7099534475554462,0.7720053129677253,0.918088699609935,0.942369648694532,0.8663961692457819,0.9763357492623596,0.795267421681237,0.6934338295528877,0.7032320378242084,0.7355017858543264,1.0861308692427125,0.9057584410291495,1.256600614701707,1.032764387911166,0.8962227183181524,0.9604462097550668,1.0999368678747659,1.1607224800687255,1.0756033264395537,1.0839742443338618,1.3157017567341036,1.1979201761891154,1.1401770121569248,1.6079011505824066,1.5834147863369632,1.2856803238117387,1.641701296912315,1.002661760289173,1.060708771040201,1.0140696750095373,0.8809163432039143,0.9133572933284669,0.8639715748559876,0.8892700441756234,0.7843844532817129,0.7163821216912855,0.7513213735005192,0.7453161128365912,0.5777211949760099,0.5793526707231501,0.7120008022229826,0.5823874130605454,0.5894267041261517,0.6536077392594308,0.9221089214638056,0.6934591833053363,0.6520839083842122,0.5946433179585522,0.5695760110591461,0.6040875161290356,0.652927008056671,0.6256067727446123,0.5927360379048652,0.686790002298101,0.7161618799247248,0.6766421047142261,0.7201533569434019,0.8913338775245424,0.8695935043380901,0.7517403017185134,0.9514067230123773,1.0917179255834175,1.36702092590122,1.1462392655277456,0.7833960414957689,1.4022831171910504,1.2551085310593595,0.9638934774758496,0.8495530244355012,0.6585237275495198,0.709562452733491,0.8514512065455465,0.6408137544627953,0.7090778836028055,0.7495684840110642,0.6912527406547362,0.628833094738755,0.6804940470964566,0.5650839233747739,0.5140128839555458,0.5484193310245342,0.5393205162285547,0.9120369219725721,0.7008765094127094,0.523822818099031,0.6162158571178067,0.8876987602651718,0.5222591297460185,1.0262335308518606,1.0780915863627387,1.9011645390279512,1.5024141920442626,2.6166165268490147],[0.6513396614750706,0.6701847849106062,0.6489191668032506,0.5135714292425605,0.6067773796712,0.6583897724629291,0.7703027734200837,0.8203630046694754,0.8739250082047514,0.887918959835038,0.9470068792838702,0.9023142957358998,0.9330298347662762,0.9509721432113969,1.0466002127236098,0.963536642775176,1.0020881378620814,1.0195674964449284,1.1271604296607274,1.0551851453238097,1.113520479672111,1.1589111635281537,1.353988657052278,1.4866679059778394,1.4137491959761253,1.1901369450293975,1.0695671470405332,0.9790431027038873,0.9750778746269715,0.9629716260897041,1.0185041874165575,0.9463661744954835,1.0039320185301415,1.0246251690062746,1.005160415029596,1.020475486744688,0.9560880114243085,1.053968034279706,1.0296663578652137,1.1139730546626796,1.2197408934791003,1.1354982539757605,1.1815311066776326,1.2732284220051957,1.3965773443530514,1.5854942136721324,2.2609723883392148,1.5312004651704463,1.726592703804434,2.1578955019445107,1.6535292298995574,1.6722206222161557,1.4311919611211754,1.479035201796935,1.351936105148346,1.3508953389325544,1.307177947763032,1.1959487022624673,1.2334350959537235,1.936285534703965,1.288907863327639,1.2208868662014483,1.1505917198708768,1.1648657423597366,1.204083299448136,1.1250392408663237,1.1688969623147094,1.1059914559583486,1.2186810924504492,1.2404456217121214,1.3855747395142204,1.7437190025328286,1.3611262422537742,1.4172149256498838,1.150302308486062,1.4066208560725968,1.153344185494644,1.1382875104369017,1.0767552490657435,1.1105792667739407,1.0430416513998333,1.0998094355345653,1.2831591396706614,1.3465307917859852,1.3006692265051931,0.9857147719659547,1.0303086648821942,1.0385731384814243,1.0552942865055175,1.063577549286597,1.062734304920306,1.2338197253360321,1.208614517787572,1.044221939989167,1.0376475850588116,1.1060165016000008,1.2263900456794283,1.055978020229464,0.9844822329227109,0.9721509876982372,0.9435906253599929,0.9335541264914223,0.9103038686806112,0.9294565813015543,1.160542874704389,0.9375317927488137,0.9631903056053459,0.9667082787607479,0.8331581777211521,0.8437787220046868,0.7036952089987206,0.7560239823677992,0.7563749108105875,0.7768911692792847,0.8766745653342038,0.8669954376657825,0.9452082961716415,0.9926738103254618,1.1835179883686897,1.0538399918232755,1.0840159598420835,0.992309564947158,0.9340068087212373,0.8667306409213689,0.8167791988898593,0.8097162775984112,0.741383397462774,0.7794249443744863,0.7841315953890795,0.9164234595020018,0.9609313481208778,1.0623540537167244,1.1472077742713906,1.0171294213984263,1.0389860939261564,0.9554525495285244,0.9330312160867366,0.9044228585587005,0.8843076499519276,0.9268028299143753,1.0258599558709947,1.2949770733382329,1.0333931245362644,0.9652428697859738,0.9952215064082236,0.9587408671531071,0.9100659245310619,0.8972752995867246,0.8323329111887392,0.887845388513536,0.8041705737279429,0.9568100420748327,1.022787023301966,1.4654532719662263,1.338825212898476,0.9281024076660438,0.8993938786988018,0.846137493364607,0.8866358958982226,0.885162096265993,0.907804330424922,0.9308739320946565,0.9584828258047203,1.0113430066353175,1.1091619711553011,1.2130545850113714,1.2640360772596604,1.590636964599805,1.4893354413545379,1.2385037671847645,1.1298838584788797,1.0059155062028131,1.0151135048968505,0.9768166303846236,0.950496210534932,0.944266579969334,0.9780379726399254,0.9477525302956886,0.9938537992967258,0.9643132936608424,1.0906885937542283,0.9551845040212477,1.0979475830526586,1.212230317362471,1.1717638356034012,1.2722577033855114,1.1618250566200845,1.4661041527061427,1.701158331190443,1.896337830424604,2.234211146938464,1.6573592087460103,1.8362119234147536,1.7252838968912552,1.4796488896737034,1.3702770191465976,1.203148431261103,1.1370164914963896,1.0148061806464128,0.923460253231052,0.8415220619348959,0.6974290226831028,0.6573715268571783,0.699607558552122,0.6452186398102623,0.6277359478611586,0.6382529677908252,0.6500740029044902,0.6094265271163286,0.6772493101520768,0.7157761515300686,0.7185377059073907,0.7770447711044121,0.9037741916895229,0.9149804420881906,0.8605574829079459,0.9656582929494163,0.7975408453531647,0.7126910146613676,0.7149851081832503,0.7602567960347428,1.1211249706445308,0.9501426142286996,1.3129841270542368,1.104723909128564,0.9763214218691321,1.0235796319945167,1.152431210932054,1.182336918760186,1.1290170925022556,1.1270806450690096,1.3414337051787053,1.2527879150518133,1.1800355252183674,1.631656553438751,1.5832531265918173,1.3128680436298032,1.6747001620253812,1.0585024610314886,1.1225574316364746,1.076750647074086,0.9491927245989455,0.9940562051963884,0.9527250699985377,0.975104613748876,0.8699363590909396,0.7991948293102914,0.8604613687557058,0.8324157932234443,0.6536918119021919,0.643486027150497,0.7520129311030278,0.627450413043626,0.6431980494165263,0.6807301132622005,0.9225863455773675,0.709023467459921,0.6710394283847315,0.6198495601143361,0.6242057586843375,0.6855807334817765,0.7271381317278295,0.6780173040560398,0.6579861044612481,0.7633944787171411,0.7795262862332907,0.7338003192860941,0.7882833237559987,0.9690639196568844,0.9112820439031422,0.8134735490209948,1.007148036848776,1.1333980173702647,1.4229783295993232,1.2233555553881041,0.8499862893949892,1.4657341124889234,1.274085143824913,0.9616373999063363,0.8722568409827324,0.7030181299058178,0.7366274138300187,0.8990699722279623,0.6989348942813091,0.7507439483608415,0.8292689222100119,0.749517449826727,0.7113245016532429,0.7687411772917211,0.6705721915080604,0.6109775759187307,0.6425887660160124,0.6419673814865906,1.0204423498150645,0.7791666778489442,0.6086292238281031,0.7271923680994394,0.9781173407778005,0.623017726022675,1.071806005476908,1.2033857946399191,2.007205980490974,1.6445005626472027,2.55421464351493],[0.5558960654989438,0.5628496880316565,0.6244736337668882,0.43047248874057553,0.5330435612937429,0.6801490269252454,0.7837768549539201,0.8163271312959953,0.8742173634260274,0.8681662454502754,0.9151673099228138,0.8571067927542237,0.8648327628905177,0.8960065720095975,0.9556119758413063,0.8648910007166749,0.8823771915723013,0.8902597112150175,1.0036246249296565,0.8975336912060013,0.9638988320522359,0.98632028117913,1.2333555166878039,1.3372039222800394,1.2666373237024333,1.020623967713145,0.8821035495301536,0.8267468924356737,0.8310797270214579,0.8229076051796331,0.8980100964485451,0.8221997897000873,0.8690283606836856,0.8704054160012015,0.85058465784306,0.8592989941530788,0.7858787686638159,0.8681163234476958,0.8001780783729748,0.8880965464937162,1.0195188692141617,0.9181804203182757,0.95039125384464,1.0457031373370054,1.2436747071700525,1.4391935976981762,2.1283919208479865,1.3782338594992025,1.500554237207259,2.0952562364420224,1.4987810122316807,1.5565217331948131,1.2663965544439935,1.2252296471360662,1.1882582172967535,1.1240864122297154,1.1115582875564456,0.977581030241669,1.0155049407653765,1.7691593190879842,1.1012863292574324,1.0358577231016732,0.9677287017883729,1.0012750081822632,1.0329801461915382,0.9538043600504467,1.0346327268758606,0.9734671643913162,1.1187347676652326,1.1622729140532453,1.311883786987237,1.6502447314998339,1.2585500288545124,1.3102232430179968,1.0322888236090157,1.3021200100342676,0.996621697118657,0.9753922997464372,0.8979434637167757,0.9099687586137899,0.8426958059968991,0.8896108168843537,1.0691408134867373,1.1633905196101586,1.0814983815414985,0.7702101290063343,0.827615942531998,0.8674095673367337,0.8603168485107355,0.8992775299161287,0.9134449122649109,1.1312811106541227,1.093544146073478,0.9123494075365441,0.9249104937324053,1.015884155134615,1.1559856025919668,0.9663419356686027,0.8964156825444444,0.8869367026897056,0.8388097591799658,0.8152922027634644,0.7570172719770406,0.7838069205215844,1.0221633036603353,0.7830537308641532,0.8189237549624859,0.8431728854967822,0.6906315767211195,0.6994555531293911,0.6070965129025323,0.6481510687043965,0.7011304980445492,0.6847000236125723,0.8191296885324494,0.8068742368849539,0.84011625716511,0.8876705587974545,1.063682726887754,0.9485081222384689,1.0012652121468448,0.9330894574800295,0.9022254288092847,0.8199620161149722,0.7912636401054814,0.7222828020873745,0.6663202132803991,0.6774361115342447,0.6491250384565204,0.7536754115076667,0.8120186057977774,0.9254712390550831,0.9917995272256241,0.8371271358875053,0.8550991618176003,0.7764678627285638,0.8035884715674666,0.724478127761185,0.6698297857216514,0.6926811215748008,0.788885791889756,1.0708318029763768,0.8382569237112505,0.7760526063528391,0.7872023761655651,0.7902171629757508,0.7665070699217555,0.7771915042703291,0.7129278404746627,0.8168894912563198,0.7253420334920744,0.9155911486497325,0.9684379533152573,1.4120314704825483,1.2647219637441258,0.862986704393996,0.8286860497346737,0.7575975655371621,0.7694875350362717,0.7425378770434229,0.7329301808165045,0.7533938195134865,0.7572657963546858,0.7890625488161095,0.8936769875536307,0.9952472639600979,1.0801375115087133,1.4425280029912297,1.361106116378008,1.0615968116805627,0.9381582593989,0.7898637087266626,0.7941445640799304,0.7617555155653053,0.7362408718171742,0.7558063273074368,0.8083440801355516,0.7536221445420939,0.7900219862718544,0.7571454064718502,0.8912078290044739,0.7624239406449412,0.9129787640329867,1.0536641846320316,0.9875828696167602,1.090690413243407,0.9604628934794718,1.2773926721652382,1.6467864955930616,1.7351567152656477,2.109342877642843,1.5022458185201517,1.7026132770534197,1.5933012186407947,1.3505691727039995,1.2738932329175061,1.0958900597194627,1.0394038276861448,0.9169377767457295,0.8135006307575725,0.75063251077405,0.607497287816286,0.558019059992038,0.6157534431718459,0.5711051667414129,0.5704442360543265,0.6008911000668845,0.6153727551420831,0.5902972248212468,0.6974974561964661,0.7521353987155796,0.7522037303392748,0.8112719010590698,0.9683682873584849,0.9793514565427192,0.899562212430991,0.9671722815383843,0.8096001127984171,0.7004794291079453,0.7128261792178933,0.733833997623159,1.1049074438187558,0.884491286050458,1.1987203641452053,1.0537301767706542,0.9098098629352509,0.955764676771007,1.1035664383667674,1.1292556718731173,1.079292614805794,1.0698723164152237,1.281627741989464,1.1799157624388557,1.1196233971899436,1.592083875682329,1.5507688236334736,1.256215884410463,1.6256857761314971,0.980260368867376,1.0447779563126838,1.0018109215012856,0.88067566283159,0.9102757020779827,0.8740493465176764,0.9036668735218544,0.7893801736435747,0.7403773819984107,0.7733914696810317,0.7524517709392885,0.5902712077505435,0.5950459352363038,0.7227342589810951,0.6128576406273558,0.6241580539082894,0.6641022316085704,0.8810832623942647,0.722149476515913,0.6710882786916703,0.6155906572830093,0.57587539116227,0.6114082129630543,0.6682767896895743,0.6331921069554624,0.6085217861375922,0.6916903210315378,0.7200479917508151,0.6869758952770123,0.7217942082293032,0.9022512790009445,0.8630349996835756,0.7576051553676105,0.948407451983093,1.0824258490454812,1.3713632845014634,1.1973414647004996,0.8049193163454801,1.4501512354266157,1.2973898133638533,0.9989512125229343,0.9150969364341447,0.7088938256428153,0.7839032469522446,0.9612018699535386,0.7078002627929307,0.7313043407148907,0.7872369076242889,0.6720437312435205,0.6185127332437349,0.6571179335159422,0.5612343869813476,0.548221972085422,0.558939956978519,0.5590151715014233,0.8798959628699334,0.6706355497973092,0.559896581613141,0.573952806301135,0.8604891282271512,0.5166740160376476,1.013025307462657,1.0676187382997426,1.7023398958650688,1.4918137628911412,2.4786086258091786],[0.565553215971716,0.556506067995535,0.6445156150409314,0.4296425177425013,0.5496614750991997,0.7114533622161603,0.8097521506383594,0.8394632929603856,0.89271055107258,0.8950625598382205,0.9437219767920141,0.8909056250002444,0.907209138411945,0.9364065254054557,1.0175391643494829,0.9265236601583631,0.9472883345565635,0.9798769985646223,1.1084345583207031,1.0218109565774283,1.1199059447798547,1.1652455377957187,1.3892480689128894,1.4643715546445266,1.3684742323196541,1.144645176439386,0.9900495372611325,0.9224014112256661,0.9213704588312247,0.8957327962589983,0.9836209386992496,0.8936749876837548,0.9407555746734618,0.9642909200075793,0.9426223910178672,0.955399474273401,0.8649082996651146,0.9679580849148891,0.898848731659517,0.993256363407731,1.148868937236748,1.0366875567215637,1.07910460380179,1.1662523146327177,1.402954409066069,1.5178771101459485,2.22557875348787,1.5424345073999242,1.5552319455380212,2.046950198964094,1.630147583299714,1.7040952955452655,1.4504257650641705,1.3483088947659687,1.3079763714342263,1.3012550692943865,1.2595656445576904,1.1235438773182196,1.1732421880315962,1.9054938136952997,1.2716284788179166,1.2157899040873241,1.1294979952235356,1.1626058172860225,1.2054240359904562,1.104522978287712,1.1699777470828765,1.0887699292468156,1.2240493436549011,1.2560697035081576,1.4045604179975189,1.7696402169857786,1.363027423130254,1.432233570807874,1.1419220326950426,1.3896229698504892,1.1277817821291745,1.105465564722425,1.0273546730540404,1.0581040068835015,0.9531265476185615,0.9893289884314136,1.0959747593525693,1.2100639333406689,1.1116912838818058,0.8465169757278945,0.9310943387019244,0.9605540587945174,0.9822140321351664,1.0053849822951106,1.025782837588714,1.2242129354118438,1.1862422387259826,0.9982097798829724,0.9985101765236472,1.072855444591345,1.2061176059919991,1.0214683964724398,0.9352748652651307,0.91071534862925,0.884816632330266,0.8404935507716448,0.810056852287659,0.8242475985118043,1.0567645453845642,0.8242031280846528,0.8585068084039766,0.8781529477888357,0.7098219804531367,0.7248039609932952,0.6431739588612831,0.6945162825668609,0.7372385566278893,0.7253916689919446,0.8569366213146208,0.853886916459224,0.905010666966655,0.9676328221129121,1.159464075221708,1.036205654958034,1.0691728136872565,0.9776857096565206,0.9381578291988473,0.8461517833253489,0.8143745091547984,0.7585389956921306,0.6956872276635181,0.7092058838749041,0.6759647373024038,0.7819662252236593,0.8106507599205591,0.9426614415418733,1.0010844143676485,0.8738269626683366,0.861530236603716,0.7918317913276431,0.8058736497459833,0.7284668945114245,0.6867939065645919,0.727247259136666,0.8499284688505131,1.1351060317383814,0.9451547506925781,0.8575704606355291,0.8759114860237628,0.8655095018305574,0.8301842344812995,0.8211031428743267,0.7602374607855733,0.8473903729002922,0.7586395767112126,0.9302955090014461,0.9762239228346513,1.4156523522540365,1.272424646178338,0.8814219960148738,0.8588210958452116,0.7893767628979149,0.8177640040031328,0.7867997705101814,0.7867183397123467,0.8243068535263679,0.8305644234716151,0.8721246352644593,0.9660117370373843,1.0202033671806112,1.1094052154971543,1.454712744161046,1.3449809960463588,1.011069467565484,0.925908738761918,0.8121375780201995,0.8392021999119645,0.8213155944609138,0.8041089956595522,0.8189519219980494,0.8735435073478433,0.8245820488459407,0.863684808293869,0.8320632056876449,0.9305707356097415,0.8161089229323756,0.9593998948373447,1.1083982674160873,1.036122894520883,1.1885167682933082,1.044880874781051,1.3441425666078586,1.5333863262362326,1.7828666042594277,2.210056577111284,1.5581012300010029,1.7199007767069598,1.590280556846673,1.3765984091911942,1.311646820456583,1.0810401563675052,1.0370315027607409,0.9080353729982142,0.8086384567262158,0.759465495275834,0.631989654585492,0.5853004812682118,0.6302524164029966,0.6023989702217286,0.6078909374542752,0.6435552329118511,0.6707736704286336,0.6473309658345305,0.7601622329055413,0.8335869764789481,0.8355978354475446,0.8849487830373781,1.060482112597371,1.0849211225698325,0.9954207571018056,1.0482909331261852,0.9009979959459611,0.7711675879944775,0.792965955790957,0.7815885809349887,1.1367974958936875,0.8981772277949781,1.1380132549984998,1.061352537186541,0.9315355829331686,0.9732435283613052,1.1289617466621922,1.1850516524536536,1.1221591187224087,1.0900394119560153,1.3245069281164263,1.1697438849630633,1.1501296101785918,1.6601180240153037,1.575787085337384,1.2428444080733458,1.6222979392744288,0.9780292046063818,1.0592376282619411,1.02626688008962,0.9051171472011214,0.9314165366256779,0.891824047156846,0.9200508226650319,0.8025913078859114,0.748119131474071,0.7596348567217507,0.7492196483157189,0.6202097054639021,0.6297878340317898,0.7529318447319011,0.6668007767483215,0.6767198511206617,0.7126977927347958,0.9001875820743138,0.7884218438382408,0.7444591302161632,0.698093775759354,0.6293106821918364,0.6359241131063224,0.6905672380284853,0.6766151391239056,0.6495159516763421,0.715232109607159,0.7424470929631282,0.7150119969174868,0.7340909415677636,0.9010214776356568,0.8773260145634092,0.7659126110289857,0.9218341688885419,1.0861025863167473,1.3408722781678681,1.1641238733588413,0.8146667011465358,1.4480564655513823,1.3597438809678912,1.1149226450541463,1.0023965937055883,0.7786255756189203,0.8595532193601417,1.0091606416224375,0.7667271357114209,0.7818842315103754,0.76619616941985,0.6784046885979783,0.6213383813996561,0.6603769512305763,0.588317010283742,0.5896175784355304,0.596118800313555,0.591232630891785,0.8341661775912644,0.6640476898679694,0.5902397263136405,0.5440860478919594,0.827781841329695,0.5061876916966251,1.0106918311097606,1.0219553935898902,1.616742251606457,1.437276391004145,2.553171362902399],[0.5864887130398823,0.595413113711295,0.6708381169452944,0.48109250111845864,0.6193558268452791,0.7507498689697399,0.8558358156241632,0.8934702146674348,0.9771330962766125,1.004166982044965,1.0659428109684954,1.020593735032844,1.052078725525866,1.066365224487176,1.179238494036139,1.0873680368548984,1.1075767813899111,1.1549440690808257,1.2781496569325572,1.2087839525164321,1.2937895659652336,1.3308153820140147,1.5310136532509335,1.576200199621145,1.4991785523242158,1.2996615802017992,1.1684084037351044,1.0933673022515262,1.095522912662094,1.0690661752569017,1.1568399247243129,1.0629398836101107,1.114676298523968,1.161216241464284,1.1317172274399059,1.1462161112182265,1.0489053342102557,1.1376311861364163,1.0948977640438968,1.182106386125803,1.309803149288432,1.2197412844387794,1.263487579985602,1.3344419462087591,1.5169986310216752,1.5981433343589666,2.295178876439913,1.6492542291488512,1.703004309309151,2.0799358567691555,1.73707951680303,1.7997537512362651,1.592301531751418,1.5321723332210493,1.467012800054061,1.4664548795021943,1.41680727306002,1.3168688134471676,1.3604357138728578,2.041733028923074,1.4406770125355595,1.4039227269587724,1.3203041774589122,1.3235478082383894,1.3748599988260874,1.2816030977935102,1.3344396181677625,1.2639590858793157,1.3762124841163956,1.4003151859119904,1.545201904592899,1.916662699655115,1.5131760762203077,1.5801200616352729,1.3141738470460989,1.510028357309934,1.3139907309372256,1.3046522154811688,1.2285645191278352,1.2602038201129924,1.1459744058968835,1.1690033534988904,1.2684412122079993,1.3738683182344025,1.2786822535875262,1.0392099101721977,1.1216282806934836,1.156050596350824,1.1878180317028468,1.2014058823019527,1.2170488420879184,1.3809469999513475,1.3582330084435161,1.1812472138570795,1.1748004200741697,1.2298881556735342,1.3654203516686332,1.1792159570806864,1.0838505362169568,1.0406839674217994,1.0378259759649122,0.9870730287519244,0.9734635647486,0.9794378925768746,1.1987292829351375,0.9961343019820361,1.0212665879645657,1.0202558667264234,0.8520781146674847,0.8808467399144746,0.7539959034510854,0.8228228445802835,0.8317417401868037,0.8483919012253274,0.9744006676142178,0.9711192685307902,1.055885503039895,1.112330209318124,1.3076333699717808,1.2025783567296133,1.2236521934646862,1.1144296011651253,1.043835484049937,0.9522992014075137,0.9028002330722086,0.8699281111409254,0.8067745689276197,0.8238713541770961,0.8113191807724054,0.9217290180076337,0.9417312095218434,1.069104411373506,1.1340055041391939,1.0388018412846043,1.0123228288248292,0.9156868782742135,0.9270809818259865,0.8432815891205807,0.8262418762688238,0.8811603589615106,0.995826124101488,1.2736878687341346,1.1130047441278734,1.02237516866291,1.05695024797837,1.0386818741784059,0.9845728052005711,0.9668485282868684,0.9030890405826768,0.964409744604628,0.8678960634028656,1.0033389627330727,1.0323976715787482,1.4512576047802146,1.3538299364462987,0.9820579977887373,0.9789656526559946,0.9144845849450539,0.9632720342252429,0.9434245679958104,0.9553830054798098,0.9987881888207351,1.0039563724326623,1.0530053551151959,1.1270309948380588,1.1783327098234102,1.2498546240630708,1.5750064721719765,1.4514773023750687,1.1431699646403184,1.0744300036072052,0.9648680654471791,1.0115572212237975,1.0001262965009985,0.9921303067877576,0.997273926421916,1.039452929848283,1.00971476960115,1.0530611426254401,1.0177962892844759,1.0862209468856732,0.9960445030259826,1.122517072468037,1.239391897448985,1.1907112750051418,1.339983171276417,1.2182040959347429,1.512874486642876,1.606800713299695,1.9305634205517144,2.3246277461243228,1.6815803925962407,1.8303925330535649,1.6934930008040388,1.4789815700692743,1.399402466744501,1.1839556859120712,1.1296561972049988,1.0050732498345754,0.8970005804216211,0.8467789050438583,0.7324161873757137,0.6722813898246669,0.6940307370925817,0.6550684985345302,0.6409573579021834,0.6485584287997981,0.6630860835668423,0.6399273123761877,0.7192281767324133,0.7727885289051369,0.7659361497179323,0.8135124622264375,0.9708913983328064,0.9829143539558444,0.9096504021173648,0.9557712748201045,0.8379257344957526,0.7359111759384923,0.7532248109299793,0.7821234031583361,1.1379384880927799,0.9302815972666327,1.204074191431564,1.1407919294640643,1.0161694928222593,1.0477818241261876,1.2098785640027365,1.209405638763141,1.176381812911957,1.175247260477583,1.397301343571398,1.243115731606325,1.2185097405394139,1.7118920121639263,1.592283624553455,1.2826707605407834,1.6456151804602919,1.060399153379507,1.1767228840693706,1.1403468332337403,1.012428709286824,1.0443668355204963,1.0209264205099715,1.0439060191976952,0.9230717119616942,0.8520828147657499,0.8854464770255484,0.8558130776444537,0.6746601251423208,0.6654981827840576,0.7680412492785483,0.6607509021178831,0.6825275900370537,0.6933727111565247,0.8909889338828185,0.7416724923790604,0.692244907592654,0.6594441897140367,0.6370987534821085,0.6856717149902258,0.7453384635723437,0.6914549563417931,0.6662026442840768,0.7730210778618654,0.7897464412449612,0.7447014408892254,0.7886775192634953,0.961323345939587,0.907990597689887,0.7914896976032196,0.9758032564595182,1.1373899771974656,1.3718221022530102,1.2259313856393883,0.8298446804744923,1.4782675498706375,1.3548192628070423,1.0610766946332033,0.9559773923516255,0.7391122156295828,0.8034625065665295,0.9739854442304635,0.7496355405732826,0.7829253901736809,0.8230841491707364,0.7039009608765749,0.6664960631906964,0.7482371243321496,0.673825583630234,0.6330198265817762,0.6668614982868072,0.653797037845034,0.9600362328289809,0.7509304388977831,0.6264952919583555,0.6680781099657408,0.9494376705631258,0.5964501557228671,1.0345092750039953,1.1570622264893382,1.796814372833268,1.575623473682835,2.4991633535080022],[0.807259799860956,0.836186944523919,0.9496507752078389,0.7723860897408756,0.8726065885350078,1.00803977437831,1.0805138590534022,1.0978557228164754,1.1786898764972782,1.177089750153651,1.213842372933986,1.1648820261873627,1.1682452912530876,1.1879694728082326,1.2562299340036596,1.1602791976585383,1.1636235642529609,1.1732399636309394,1.2538350463417198,1.1538463559585543,1.1905317094541041,1.1910667187837125,1.3884366702848685,1.4299746465369403,1.3878147133775098,1.1999022169774543,1.1115082345379907,1.1031230184719383,1.1192920621737272,1.120969674391694,1.1805858273133396,1.122166189643709,1.1513749077413027,1.1643432776859928,1.1423423474888683,1.1420276159946112,1.0787453207940503,1.1228567312669333,1.0850493978538163,1.1605271624556606,1.2464712979820571,1.129779465898753,1.1421090170786272,1.2055082878264263,1.356946367821307,1.4721945536499637,2.1643621391848007,1.514585078039913,1.6039319208551113,2.0845528952084833,1.6432198550563415,1.7022801666888652,1.4789609387357345,1.467603886550348,1.3979199007819065,1.332262885986079,1.2819683875638967,1.1978281534123005,1.2153232038586599,1.8806800178086511,1.2661379877527046,1.2435439993765516,1.1927933000396747,1.1723199363921017,1.2174906097313896,1.167543482073992,1.24708337624127,1.2237336290037995,1.361474801476648,1.4287925113979696,1.5663339706813741,1.8907397240774115,1.5029532247729012,1.5227142113086807,1.2824964872475362,1.440145613161674,1.2320679262813785,1.2284870885597885,1.1515306617390637,1.1694247189840479,1.1111653306880067,1.1487149700580415,1.271221057269864,1.4096730813847038,1.3081462017898697,1.0564206022279568,1.0901147701141232,1.158133290211773,1.134750207216871,1.1663981087159234,1.1809099124792428,1.3454907505730116,1.3418857582741681,1.187572978346708,1.217883764283473,1.2797796730337312,1.4462119946290717,1.260470391566189,1.192373384580016,1.15646732796864,1.1383033043087882,1.1260066950078138,1.0878052652254524,1.1330201817622003,1.3116301919805127,1.177021385490913,1.2099953755366462,1.217064543862023,1.0925250970197138,1.1001579808426412,0.9847922570782441,1.0192561153662052,1.0347302921179566,1.0313133115826223,1.115817170203691,1.1124988469296313,1.1321851387567592,1.1765030635814704,1.3021719396805946,1.2421175134168148,1.2916292396469566,1.2295648116816613,1.2036423787403596,1.1215496845497406,1.0933192062953134,1.0704522090621034,1.0391206832249877,1.0383532786574652,1.0443103339686586,1.1223495440279827,1.1554559623605003,1.2633283728941302,1.3198859832518097,1.2125463609444382,1.1954002266635715,1.0813344300108354,1.1395929214223843,1.028051148651947,0.9803623648912515,1.0020117100576966,1.0538831998231746,1.2450329491801928,1.0906910086210109,1.0627686914000334,1.0667848893758076,1.0840380609599714,1.0694457004521887,1.0800112163730975,1.0477948796816623,1.1292269206613463,1.0548311607889966,1.1809061792821667,1.1880673524141816,1.560542048991685,1.457881401573424,1.1289880035483773,1.1254335820385732,1.0732143343363176,1.0857980215988958,1.0916446392170542,1.0834040432161847,1.070580965373873,1.0743135199843636,1.0971190606929997,1.2067349001540386,1.281225730759258,1.3923075063477497,1.727108312793255,1.6399775321868284,1.3470268313718707,1.270674061436535,1.1199970882573735,1.1362566295963188,1.1050897684274759,1.079336589507945,1.1005365966429446,1.1066014421077954,1.0750637452536014,1.110980337557527,1.1089476737130466,1.1784472428425903,1.1381270146103397,1.2563069267119467,1.3671831107637686,1.3144809646484557,1.3899461169400442,1.2359364479843935,1.4840340185613006,1.6521905728385349,1.947343529377832,2.3602402808841667,1.762218672910786,1.9656567748044538,1.8437739251072494,1.623847376612753,1.5572167736620721,1.3735663685478439,1.30861525336207,1.1943653494831887,1.0832122051077895,1.062397483126346,0.9625438644955425,0.9130954368466527,0.9353747373463187,0.9111471934632279,0.8775682900043706,0.8773145414457895,0.8826804191489386,0.8710419537869688,0.9292384914594647,0.9636056107722871,0.9547007298109332,0.9880714447977358,1.1199766931549497,1.0915709602026662,1.0093117158215263,1.0765540284452835,0.9534079142548351,0.9148155477956047,0.9238855566625633,0.9682325201039068,1.3234219540508303,1.0937137969329014,1.3731593512514948,1.301253468525275,1.2067357563188428,1.2203516087331474,1.3529475445812154,1.3523308486328909,1.3328535247978486,1.329313608428185,1.5034921967384307,1.3823204868519778,1.3637079722877221,1.8126224979844832,1.6686291528110737,1.391818768379924,1.7577292465625574,1.2428940444896979,1.3410391621126374,1.3065370937055856,1.2012537872997189,1.248393987778778,1.216021815122955,1.2562663079284826,1.1489298960336622,1.0956569155463811,1.1174863267552142,1.0707718392571786,0.9029777867564067,0.8996929801260982,0.9805634922142078,0.8999784975149084,0.9109337487102878,0.9061143880324781,1.0497047245745617,0.9409748646371515,0.905985365582088,0.8753908759094042,0.8785299696037969,0.9277228925242877,0.9859249696022934,0.9208586880700174,0.9096359622909923,1.0099943147571415,1.0139368148821348,0.9710011960660879,1.0065039346223676,1.1616281154565042,1.0988897142740122,1.0029140588689542,1.1791064111126994,1.3158407050357286,1.5442394981136942,1.4345598311192789,1.0685426267227018,1.661208502387672,1.416053827164555,1.1531371533951975,1.0822389470520108,0.9189298212532755,0.9853755188927713,1.1398267516002332,0.9477858176817757,0.9981678916659107,1.0426514836399392,0.9171214963493165,0.8802557185540771,0.9675041249240541,0.9265670635542032,0.8991155104632975,0.9185267354953625,0.9174945146374163,1.130734319541394,0.940592852261522,0.889839372975264,0.896837146531654,1.0890840195453586,0.8619591486789628,1.1718598605371506,1.4152297629965722,1.906396761250753,1.8965829914634718,2.571460956076699],[0.5512066522881752,0.5601735353364686,0.7623201592272197,0.5314510931291203,0.692946155904983,0.8762885523316325,0.9544275810058609,0.9769386912976283,1.0295600509979101,1.0323695497875003,1.0618524884417084,1.01534067511945,1.0330392869697593,1.0441644987032594,1.1117429402690604,1.0171734568082473,1.0290735752600693,1.0602189341956636,1.1904126063319467,1.0802577888457559,1.175372476168361,1.190842746240957,1.4530174973480934,1.481532030203779,1.3767991483478077,1.179812735905965,1.0173349750893044,1.0033125831008292,0.9975441319993922,0.97466119753137,1.056923986364284,0.971126198600441,0.9981016407431713,1.0233396411204703,1.0019336347404197,1.0148354066895542,0.933623630605771,1.0131933662770574,0.9155676139355016,0.9869460135989556,1.1203192524506367,1.0299253460814015,1.0502604659827304,1.1211190815890968,1.4041643321115052,1.510817329869545,2.1786704053112627,1.5274526780542754,1.4667686969220994,2.0144440146657696,1.626725685697292,1.7040734979970398,1.4656826103302374,1.2907616322650701,1.3257248185458677,1.2742440530276995,1.237368545703468,1.1043082878525168,1.1406289087222155,1.8336744027112977,1.2546845923972132,1.213528857017331,1.1459259676894302,1.175832806864966,1.2190438762480735,1.1393410745109407,1.2200425001046389,1.1519510248223603,1.295208734425135,1.3308146294537524,1.471871950454478,1.7898791079592384,1.4032134921666848,1.4617668329273055,1.2001470616785264,1.4044546748177575,1.1651964593169348,1.141318669892315,1.0660362495878277,1.0803389946894,0.9707678740481146,0.9890196427098525,1.0635523415270305,1.2287601124937864,1.0869896912551957,0.8729442781805586,0.953558272953853,1.0115130079321584,1.0234975538554931,1.049119848028042,1.0761091319245235,1.2738536038364934,1.2411048183753828,1.0471177939031373,1.0644082964756276,1.1471015956908401,1.2810999586584129,1.1015051592401524,1.0253120243537304,0.9939788217087016,0.9675815114194486,0.9513957860568372,0.8919506330367293,0.9024510967535985,1.1270411999439152,0.925199877941369,0.9678470539704889,0.9796902439454341,0.8094502695218799,0.8308680260206592,0.7710036983342484,0.8270020054469552,0.8812599894062048,0.8557622475962594,0.9897977583790176,0.9944011464769611,1.0200443831677575,1.0958730049875136,1.2433234597873535,1.1477884719343738,1.1850228415429602,1.093971515839967,1.0744786823407,0.978600138355214,0.9427354588296498,0.9006010344321307,0.8405351186570903,0.8264113956281249,0.7847942965994454,0.8527573550878499,0.8718865117223357,1.007422406376734,1.043612642813301,0.9375076405554672,0.9020472349889592,0.8350694204797555,0.8934702834614652,0.775585015488418,0.7430757228137573,0.789142606606858,0.9474221053979399,1.1129203423706848,1.0029601718721493,0.9273259447738411,0.914969954364662,0.9348353077494617,0.9208969391057232,0.9176765666364292,0.8732997625294084,0.9670559082268687,0.8885213245646333,1.025797684073752,1.0455908801934828,1.4282357589030574,1.290835942519216,0.9754000637222269,0.9737114354585686,0.9016103408290257,0.9201458578253237,0.8812747876323163,0.8683690920422582,0.8844742755853663,0.8829506003916537,0.8958008583583444,0.9750393806530033,1.0047133859063075,1.1145006485601925,1.4417667064487696,1.3426851883964357,0.9920112470221716,0.9408292875225294,0.848213584351792,0.8704221751515371,0.8633654580237604,0.8522731232930788,0.8783820876985161,0.9285622391669879,0.8735157382018953,0.9062021642251691,0.8810439638367084,0.9472200228715981,0.8829199512076031,1.0128978035020804,1.146308297694199,1.0570977635343186,1.1987501128219018,1.0430765964256228,1.331250069530765,1.5036153458066621,1.7623059607629794,2.2139382218679544,1.553765523416415,1.722399584511653,1.5904404490076312,1.4040858465654478,1.3541849097150493,1.1116328912938653,1.0795141576213667,0.9727417009100843,0.8597214552967364,0.8380646210411457,0.7459495080098648,0.7007596342708489,0.7294373930488088,0.7041401214315225,0.7089443640917478,0.7567559819059448,0.7648552501424599,0.7510595183867396,0.8636756867711141,0.929486883673902,0.9143974198338625,0.9560922841590462,1.1384254296418364,1.1376482977507956,1.0588949875593978,1.0493107182188253,0.9653994636858203,0.8528291980881911,0.8751460587046448,0.8775268795683496,1.216545982314352,0.9828897872788969,1.1524082630541788,1.1765752408892407,1.046396371980562,1.0645401473049263,1.2404775423621321,1.2370367735246046,1.2217903204703078,1.1736709395355744,1.3830527795978311,1.2332477393067105,1.2163120859636718,1.7199843098446848,1.5899082185977658,1.2616808572332636,1.6186921422395604,1.0379826379425938,1.1440198928945242,1.1202348581717507,1.0071751677713552,1.017158194701013,1.0140690937400023,1.02736108537786,0.9088972131471619,0.8593663767306688,0.8642856234675104,0.8517849948556002,0.7188984422463158,0.7182686506105664,0.8233451344551144,0.7497487367390817,0.7720130273006328,0.7640056580316233,0.8871789364316371,0.8522786164985467,0.8011121243383308,0.7830308392368707,0.7119669965229057,0.7262544183998206,0.7888835246207868,0.7678993895948026,0.7469220915948632,0.8097508881512588,0.8474991418357972,0.8193856352504035,0.8329378773853281,0.9831550331582355,0.9537659182922625,0.8509210725961385,0.98389120593761,1.1580894118294518,1.3933107321117444,1.280240480978316,0.9085073696973994,1.5621979734972322,1.4769497458067802,1.2313279168116154,1.1160930606500545,0.8945460112715414,0.980290543252547,1.1664342530926335,0.930792620280196,0.9325134039478149,0.8746824024647211,0.7391377304772723,0.6976631852569818,0.7355075357403313,0.7030170663638841,0.7075893797228975,0.7168693763551967,0.7219789624731681,0.8604804531763335,0.7483281082077642,0.7137149207275735,0.6436335427928837,0.8805898641392543,0.6251294770043557,1.0362432941526911,1.0462776998361194,1.4641553549390707,1.598685006151266,2.5011622183331967],[0.5187069396832986,0.5225321735589821,0.7098408351547772,0.46986491656294416,0.6537703691984954,0.8086071514842761,0.895244781440968,0.9242627926693976,0.9677033498160793,0.9817224888576479,1.0158673627259673,0.9739891080555936,1.0109739240355857,1.0119784225990838,1.1029623689135242,1.0166479228914782,1.0356254129664049,1.094178623670563,1.245439850164228,1.1494018933240837,1.2599967912081322,1.278915602742888,1.5553450345970332,1.574606725498102,1.4570460138690298,1.2558264701603352,1.0914756420378646,1.0485215371188572,1.036401051629723,0.999794061109387,1.0809967628915778,0.9876791216542032,1.0190311373896495,1.0658378204966548,1.0467947927714238,1.0662809673556983,0.9775836036379856,1.0769735144059045,0.9901603240983606,1.0737029997808651,1.1995906295914225,1.1224322275665413,1.1450360887690776,1.2123192777443343,1.4887842929901953,1.5495779305547666,2.221165403843528,1.623608578807569,1.531841376735333,2.009823881181086,1.7252401883696222,1.7813703878970386,1.5795015918629933,1.369747362072486,1.419270746383984,1.375096538173401,1.322856275605953,1.1974504144706877,1.2470412344684534,1.9292495587713794,1.3503009113022628,1.314719596941512,1.2392711782026309,1.2741047342273535,1.319108558167279,1.226786481383854,1.3056288805959282,1.212092506528954,1.3390036967012373,1.3494340067356634,1.4941238447505014,1.844286600786224,1.4464593858924246,1.5237370113236852,1.2474259374865286,1.4549259977912137,1.241947171688977,1.2180959848493842,1.1448861441577498,1.172066883071615,1.0480006687771903,1.069074532451477,1.11498300920497,1.285081668097096,1.1412553912005456,0.9421225761535832,1.0303562219959435,1.0686434982812232,1.0955630559818057,1.1118234092936654,1.1284758980092826,1.3232970365267385,1.284022507497648,1.078838303524246,1.0824434622820096,1.1529166358595302,1.2821664889825322,1.1015482967807215,1.0098170683973255,0.9706266228642942,0.9653930440323777,0.9382887941732078,0.9065314803479438,0.9133788254495134,1.1435542277251913,0.9403252950534089,0.9820211231531571,0.9991779383866246,0.8233566771264491,0.8395050860107676,0.7707145149013847,0.8273609876592308,0.8524048072399957,0.8376584792753786,0.9639600098753623,0.9728777723473745,1.0236161817334983,1.1077709840416654,1.2989563246830185,1.1744523337407407,1.1899588260770744,1.080159364782446,1.0391735059382123,0.9371126624327453,0.891949028578734,0.8725293131091975,0.8113727562414702,0.8196448013828003,0.7968644107685946,0.8705457378982917,0.8834963529633818,1.0218846088307871,1.052476293266933,0.9637647617029813,0.922107698816495,0.8524841256250313,0.9075190313851762,0.7836290079459476,0.7360355826607717,0.8053483907153209,0.9754876151123564,1.1698037972983661,1.0676408060132632,0.9724700161476159,0.9773985274505352,0.9746005364584818,0.9398595733319497,0.9210966668681104,0.8728534782296947,0.9453041390882092,0.8680787244312765,0.9943347486799691,1.0242550192181135,1.4152359818698814,1.2789312261607728,0.9518969756411155,0.9528975495553816,0.8889671723234078,0.9165296379720915,0.888970016605059,0.8919550828593479,0.923705748153505,0.9302812867633894,0.9598544937983516,1.0306476655309962,1.042269435482553,1.1456494770215242,1.4413877577396366,1.3315823914553122,0.9951238150328877,0.9552883695040003,0.8818790337845032,0.9162793991397544,0.9117846171349273,0.9013225855431739,0.916109359550441,0.959615141036054,0.9176451218394144,0.9609407996480315,0.9342040324434406,0.9950338032653603,0.9186703421114522,1.0592072399957855,1.1920609042492536,1.0960061069935252,1.2597436443113539,1.1192918077066227,1.4242687997509975,1.4954499896961346,1.7915468137427228,2.2354063266184214,1.574004602342133,1.713728465667276,1.5724411441404258,1.40972778529424,1.3729943546644645,1.1092605768771309,1.0891683818461344,0.9810616380311677,0.8716089296697276,0.8545243852296825,0.7576720388613757,0.707357116733464,0.7465286699534159,0.722292996685391,0.7097365596174047,0.7552670320241268,0.7740304501539433,0.7508069356061402,0.8507337416054632,0.9275312261781942,0.9193410299086457,0.9424263215809069,1.1273127341728653,1.1530289665208675,1.0752625828663154,1.0735690349780578,1.0206025722422836,0.8906770338312642,0.911180356124782,0.930106848204929,1.2390906694629125,1.0143702707454607,1.1508559164943455,1.181527254230687,1.0718791574412538,1.0926876291199596,1.2782801794008027,1.29352810948524,1.2581890829967024,1.204309539969329,1.4155538160654055,1.2560075966642883,1.2492201968654244,1.7625659022964733,1.6360826119261032,1.2969421513596109,1.6312428026611685,1.0570778324249244,1.1547265049774875,1.1387771387594925,1.0257378999695768,1.0260424138664073,1.023688809216406,1.025676402622896,0.9100943370443086,0.8484054794918551,0.8526046296295295,0.8446123930093754,0.7222890209145855,0.7113084889555482,0.8066643720700417,0.7332229677790849,0.7672035769633773,0.7451236613769141,0.8719957915507289,0.8466420130384886,0.8074964842536331,0.8028070615599489,0.7237300665649459,0.7354683661279781,0.8045143013732365,0.7978004701846643,0.7616146198134317,0.8290512685561628,0.8693391368471621,0.8472377913519475,0.8537455083783694,0.9928773051928269,0.9922935071784997,0.8825653038321865,0.9952571148506272,1.1869425692389775,1.3753704547886205,1.2691969989274403,0.9191361377559782,1.54378281981527,1.5056222547917995,1.2747898865794642,1.1302705822910581,0.9082974825164783,0.9695520432953574,1.1429657346353408,0.9197648385082063,0.9383431378248086,0.8523542880593096,0.7493451686974791,0.6984975223592825,0.7453131719370348,0.7065067714841187,0.6945066318813847,0.7127920732911596,0.715833219383356,0.8391847997610229,0.7364520442310444,0.6913150418015279,0.6065961472293532,0.8500149812694177,0.5640769796756696,1.0175960334978449,0.981264820287388,1.4422781026494993,1.5030140030571455,2.5608013858484986],[0.5354394947101976,0.5235583241352743,0.6597779475889756,0.42848632603004,0.6183249108017814,0.75509421690421,0.8190678826709543,0.8425176396783403,0.8685787323800834,0.8667731044534549,0.898712951675728,0.8521671697750035,0.8794346002746515,0.8911955985516005,0.9597767032027928,0.8776988038196621,0.8990749173212857,0.9475816533142536,1.1031062904806008,1.0105527441735076,1.1399612909841712,1.182576723805073,1.4479166563471944,1.5010533535577362,1.3719638335995539,1.1469184036725357,0.9655181114466825,0.909190179974608,0.8908459823419677,0.8558035399606152,0.9342014818185777,0.8448097209621864,0.8678062716936022,0.9170445424215722,0.8970524828622494,0.9207860059243221,0.8270157755006468,0.9348563545477396,0.8510175141254339,0.9467285503784046,1.0911694571863761,1.0024932874407366,1.0372356202945396,1.1252296505881387,1.447682156473471,1.544079606582796,2.1946950892594503,1.5557263385392732,1.431023448909459,2.0029712443970626,1.653872366969147,1.7112329018408066,1.4700259892950867,1.248622576823331,1.3024025620135966,1.2708732528575575,1.2333218069039453,1.075532994270564,1.1213533058245986,1.8301240497010547,1.2386404832598372,1.1850220771223658,1.1047757072817757,1.1591239194816194,1.2031784889074806,1.1045993345130785,1.18036427732989,1.0711903865125678,1.209100947450234,1.2325099613253092,1.369489706741759,1.7133315624465746,1.308665801016504,1.3893793483113912,1.1170243470668093,1.353928042906243,1.101112600538044,1.0714981182968868,1.000299232409393,1.0289468814209446,0.9059960276960487,0.9409738437005685,0.9925611997219559,1.169052179701562,1.024714601037454,0.8000361467254775,0.890685698088702,0.9260249841956688,0.9500369524046908,0.9684561758406345,0.9825184190966656,1.1836669476184603,1.130754011012817,0.9291483388819816,0.9307033743774153,1.016119566749626,1.1389458438892284,0.9512672378638356,0.8750336103585652,0.8462735260020812,0.8411109235322016,0.8255596098548551,0.7853140971685924,0.820367398038917,1.0676359709697354,0.8664000048360614,0.91622120365187,0.9479992032639463,0.7818280481642902,0.7684368408447174,0.7179942036397668,0.7443339643136158,0.7636665108839606,0.7340093506199266,0.850151705800424,0.859793888341022,0.9056613688835181,0.9868013121236975,1.168023181135383,1.0310170854509146,1.0618763091162113,0.9541925161776574,0.9329173431863539,0.8273061579549315,0.7983725272708548,0.7674513250923387,0.7290938380171745,0.7570430871840507,0.7319940467567121,0.8081265785579494,0.8602444940700877,1.0053302246930045,1.0145474145990492,0.8927358851215433,0.8543536530505774,0.7923316133101492,0.8547014469147932,0.72558332336613,0.6584466193606748,0.7119501723180602,0.8774857132771213,1.0938104981066261,0.9556777047530499,0.858609669834583,0.8578756685734815,0.8460810284316714,0.8206203633557018,0.8015206262869999,0.7597200075296136,0.8388150027760751,0.7685565738577734,0.8913548567786096,0.9499115987601974,1.3538363687082058,1.1744972306209143,0.8378441665643133,0.8350931025983764,0.7799517418515423,0.7980573232587345,0.784901817781338,0.7847511192092514,0.7988796305886898,0.8100831739328369,0.8377352734357468,0.9343327076280156,0.9546434982367749,1.0733096885228526,1.3704364951612875,1.28188108423784,0.927020797553034,0.8827092581948867,0.7951159738529515,0.8182972192358356,0.8085145563775812,0.7857653520338339,0.7987667787140585,0.8438869899810393,0.8004405165950209,0.8441265085239911,0.8268334011719076,0.9050923250453518,0.8198167452120921,0.9758069082046399,1.1299791209078447,1.0216502093324746,1.172550514600132,1.0067459043162557,1.3046712604768713,1.4689047782474258,1.693333058355126,2.1715980327676863,1.5145539378197228,1.666723458417529,1.5363867070989015,1.3842203465286638,1.3668762864876542,1.1148124549952165,1.1119294010600507,0.9924681221243067,0.8867335434894038,0.8605591498137821,0.7493905421939567,0.6964453674405466,0.7404549310940934,0.7178709319084837,0.6959975379188291,0.7371225758137239,0.7653513435348216,0.740878568766003,0.8459320629944417,0.9265562903155241,0.9227928055108016,0.9486618174891837,1.1376440015035219,1.1660810230590923,1.082704900947861,1.0819475539681447,1.022432412986379,0.8885608002011011,0.911007707557585,0.9178133676203556,1.2412541958855523,0.9955064359590232,1.159864975534316,1.1621481708197423,1.0659193931123179,1.1036751032126069,1.2832445238138441,1.3255752281226065,1.2702397080439727,1.21668958217656,1.4273835709169498,1.2671514099244923,1.268107927021298,1.7764588316339178,1.666587574285403,1.3181778789157403,1.662368329388725,1.073681281508874,1.1538594560992594,1.138257175913589,1.021839564410345,1.0173986887704511,1.0121192052971622,1.0021944090424126,0.9025946695968833,0.8296271237088355,0.8166821259911387,0.8213333859771117,0.715549468434409,0.6946512151124982,0.7776971845661388,0.7201343426548875,0.7607361777615482,0.7409780855212251,0.8815935831210628,0.8478426186013184,0.8160901860698049,0.810688345132974,0.7242780590548777,0.7275746929437397,0.7904899327486863,0.7910703513582505,0.7552714135296206,0.8220199764192673,0.8551071897972814,0.8347182727578112,0.8378674398401377,0.9773126194949577,0.9726842690352308,0.8658840606064794,0.9773250262974396,1.170894765083162,1.3588630450208796,1.229610817236439,0.8973215723171598,1.521047336005836,1.475956665170913,1.2689308521984426,1.120312088246625,0.8953707545163878,0.9671027024526961,1.1310377085844423,0.8927498762390593,0.9045795638554304,0.794621421957455,0.7511439122396892,0.6890511463102577,0.7428596051237037,0.6749904907159566,0.6718550264589116,0.6865208766376321,0.6866494561999514,0.8054647001106525,0.7246052874602391,0.6770930306054086,0.5768032961655349,0.8231355254994961,0.5248419089249161,1.0105886875968237,0.918947582715399,1.3604570569984114,1.4635801379067672,2.7157244192945043],[0.5711266580332469,0.529753480080503,0.608071970634003,0.37677268891259036,0.5550646687383562,0.6405278744077243,0.7181325256099852,0.7503784799170722,0.7750440352431675,0.7796444447197645,0.8169244552531267,0.7752067522674526,0.8009518287483077,0.818160056362471,0.8964875752819037,0.8084194524694007,0.8379446867671404,0.8910835780725772,1.0563865826918928,0.9679211676160391,1.1008138705235544,1.1612816361610765,1.3978233199619041,1.4853000343147869,1.3435954749238357,1.1155524707497837,0.9358712322456386,0.8548722404226344,0.8396920787843732,0.8019220730278812,0.880507345356832,0.7878038796694388,0.8170850523082683,0.8713072974070204,0.8507349673474662,0.8755844713537264,0.7825040282549041,0.8971781049440197,0.83591610109633,0.9530183337638926,1.1174449286967907,0.9935761475877402,1.041812073698337,1.1347244470645041,1.4415561948755908,1.5427754804747185,2.2379689871531694,1.5780144469095054,1.4940279134048189,2.0304294106962737,1.6656155181846932,1.734001049100383,1.48015750590452,1.282106934683524,1.3045804109485601,1.292355944696886,1.2530306752073168,1.0945163188555895,1.1422926522161696,1.867698107841243,1.2563074440945559,1.191074589822997,1.0945443650209457,1.1552406230439418,1.197973329415106,1.0838671731334364,1.1453053032005207,1.025427780555983,1.1637355981782083,1.1846225349975508,1.3327552210809317,1.7020686008853272,1.2897327292834397,1.378075017838526,1.0754086603545012,1.3632618862962451,1.0680768633670117,1.0361369506994973,0.9673763660209236,1.0124251739523116,0.8872647383687847,0.9354255872814313,1.0104594379091996,1.1571370427697119,1.0386338509616062,0.7872824993985459,0.8716780277934127,0.8911598274512446,0.9171117978518398,0.9326344226820218,0.9505008215815762,1.1684605630802642,1.103432311722267,0.8880428201083702,0.8770252163404766,0.9630894586097541,1.072041132544464,0.8881864600378709,0.8063116437474573,0.7902091170949815,0.7789664325710509,0.7721312358111753,0.7393990172845349,0.7558246911468435,1.030269068971608,0.8128321714692479,0.8611642751138274,0.9075251318041725,0.7305204369160436,0.7101506886705818,0.6522173716428231,0.675832362474709,0.6717882922958017,0.6564839719565684,0.7710623992196046,0.7743682062919782,0.8283759077423999,0.905940003139393,1.1052273509279607,0.9623376441783529,0.9938937207873204,0.8855286640644359,0.851059839960708,0.7426256580039798,0.7093812378234436,0.674726335088538,0.6556998378798105,0.693870261115633,0.6816454231619274,0.772955811533904,0.83798787296212,0.9798575612019572,1.000557746545278,0.8670139031620989,0.8377229363324536,0.7836316394882454,0.8073047233591539,0.7145542650079202,0.6340683536263965,0.6803140474649312,0.8161566315317226,1.0920692898138498,0.9124251725063255,0.8169794223729396,0.8341301170441027,0.804153232460921,0.7683906097499351,0.7498527381037589,0.6897023925645183,0.7602030719292725,0.6906205761527523,0.82257961364242,0.8923219289134608,1.3410318605686518,1.1621250001393713,0.7739452370706369,0.7582599183542286,0.706337816644954,0.7391010103519133,0.7275166715372603,0.7402720481895544,0.7607610511088999,0.7840768463558374,0.8276626506114827,0.9398847832771462,0.9700821896029924,1.0846792761232982,1.3878696193913274,1.2962192107550754,0.9530681952724531,0.8853289784354579,0.7782156604972468,0.8045628128103399,0.7858824108715341,0.7551444334362979,0.7630779851934151,0.8134011866723954,0.7660692225740464,0.8198083331703764,0.795537058278759,0.9038942931869424,0.7872991704154236,0.9647974116860021,1.1355403184680226,1.0272285787360924,1.18716780563429,1.0202493619071198,1.3322991450208426,1.5093772211405436,1.7379704494383923,2.1991530886725283,1.541778255771874,1.6865333220182381,1.5533494213537062,1.3859924786725093,1.364637214766051,1.1117742014015568,1.1046851186467754,0.9778300763372834,0.865505017167555,0.8269098898107125,0.6982030351501998,0.6428392821215476,0.6994052652444065,0.672503362599007,0.6538537652865987,0.6909814930857553,0.7247247866467437,0.7047586356767093,0.8083963528169874,0.8863800607206499,0.8980848175232277,0.9362503183000279,1.1102832510060157,1.1575178888581867,1.0685089294581827,1.103658914661303,0.9955176847245881,0.8551689237542391,0.8883385824966121,0.8840330544570196,1.251510005459267,0.9925564557015188,1.176922644116193,1.1017823020794226,1.019653364211941,1.0812787272512268,1.2464500039102935,1.3389295148742382,1.2386952057584384,1.1921557475503224,1.4234590271033305,1.2573209833818422,1.2509968060159211,1.7479688139948792,1.6800429798049334,1.3302284121073145,1.6711988280945542,1.0630555007469873,1.1217963078559976,1.0998082737941621,0.9725656213431325,0.9695945993330198,0.9508936885213578,0.9399379339709549,0.8531546805934704,0.7857329992192259,0.7676310154453462,0.7771766500237213,0.6818003808181827,0.6758531495535143,0.7728517973341997,0.7036798754574263,0.7325703151779294,0.7423060358405028,0.9267438237548575,0.83542968826043,0.8078162393112179,0.7777099819179369,0.704708288598494,0.7032908413724684,0.7484551808917247,0.7648472838891378,0.7251763426268473,0.7875896807453139,0.8159727253091882,0.7959382480585464,0.8035837954991489,0.9614138941918198,0.9526099272536858,0.8377505892870629,0.983023774319208,1.1681406551548235,1.353453014561727,1.1699117138690778,0.8513015415763788,1.4730091702855457,1.40888576811289,1.191670233260358,1.039890145116046,0.8316153316822422,0.9043917628829439,1.030381319273495,0.8001158005295769,0.8101056132625064,0.7306925260092051,0.7334613511926974,0.6673821014798844,0.7110694326734049,0.6295542810777892,0.6174817282412182,0.6268738892028769,0.6214337327101401,0.782800208307306,0.7007962429722043,0.6183635754137842,0.5402777038358779,0.8328519855045512,0.4680137705264124,1.006307106709335,0.8928208662171283,1.4320127307548085,1.3557179272600102,2.870024477917553],[0.6277228786348048,0.5684815713955348,0.5496839559070642,0.3627903481512629,0.4698169139346833,0.5280364663069755,0.606138399614455,0.6435136250654757,0.6656950595709791,0.6690613279817955,0.7155955719820903,0.674682106573973,0.6805880733262271,0.7153906071001673,0.7926204970466898,0.703839889827787,0.7437636694450097,0.7817657838320184,0.9386146010969295,0.8506150571872393,0.9736895172166241,1.0440411879175782,1.2651741901817186,1.393979510753942,1.2486601917040139,1.012578363585274,0.8373348143583,0.7344088298318031,0.7180853418261633,0.6879625371411774,0.7732108919445488,0.6693072972183088,0.7120403107648983,0.7671633359395017,0.7284986522223771,0.7579844519541993,0.6673207432643989,0.786389693135169,0.7299860032351028,0.8553130322891267,1.0450287251122359,0.90293237085553,0.9599973660500994,1.0646295542163602,1.347012942937745,1.4962047971037806,2.184630842859246,1.474938502245338,1.4687549488494316,2.04213174648179,1.5618479863572385,1.633424672490394,1.3451674092062853,1.2173827937660513,1.201802243262238,1.1936750844780548,1.1652032873361453,0.9980083695732548,1.03866631873921,1.8144073775044085,1.147888210279126,1.0699608287763693,0.9782838464845763,1.0534349070366544,1.0771637945978034,0.9616332930455366,1.0295491060459658,0.9088415717273937,1.059405100498385,1.0872302120422395,1.2337400208141682,1.6073414518824223,1.199886090621532,1.2939565888116071,0.9766828742709207,1.3056757487691448,0.9514282455541013,0.9245964895902781,0.8530978319776711,0.8950661724873017,0.7739983556910414,0.8291969810184684,0.966941596932858,1.063684870441106,0.96169981023265,0.6776794042660348,0.7656385108279882,0.7790232302478337,0.795863516283356,0.8266822652534683,0.8530924910112149,1.0637539438820593,1.0048844052462722,0.7967902685764284,0.7791761876135086,0.8829881014077364,0.9667617217369416,0.7914648433220726,0.7115419247464798,0.7146565865062667,0.6719900179038865,0.6697023994617078,0.6169900616338614,0.6304308594805995,0.9305387722257245,0.7035340615659483,0.7452420249785472,0.8033407048450151,0.638187983968846,0.5901152427582358,0.5335588753079691,0.5412420109776359,0.5333656632310843,0.5192187339727279,0.6440578085281348,0.64123102501576,0.7097271693995358,0.7887472131609966,0.9978504371233257,0.839171956296406,0.8779587636709048,0.7749240120216716,0.735006006949514,0.6261422902568242,0.5972906540326918,0.5291377137732522,0.5323178140213605,0.5841174834632428,0.5821380995080249,0.6912802547818464,0.7866621746798029,0.9174396038727887,0.950268471331935,0.7887459706231994,0.7855367043402915,0.7626517143575415,0.7326562365836572,0.6681264014614345,0.5808675599126483,0.6127095729988561,0.7344562684356623,1.0356366459737125,0.8089704808211858,0.7094082482568694,0.7268953850419869,0.6900579982781447,0.6518418008230222,0.6371229318172879,0.5520156070519056,0.6347916647232427,0.5535370498492755,0.7189527241676864,0.8155580885638385,1.3187998625213273,1.1325066529789116,0.6755806983524014,0.6392575800996831,0.5704796797216982,0.6139094096017292,0.6132902020972888,0.6216743747574301,0.6435908987186953,0.6743135704826416,0.7210442816726118,0.8522536365844435,0.9225447662563593,1.021180412702052,1.358287282262152,1.2778085791302964,0.9505826260592456,0.8396769871813224,0.704376011477334,0.713293884555744,0.6796237928976675,0.6351967557051003,0.6428236094815066,0.6931898061198462,0.6480257765763204,0.6934147665137118,0.6742311245094228,0.8254390402657759,0.6748733957253186,0.8609475503785504,1.044816874038713,0.9534026439349009,1.0988036026629568,0.9355832973011703,1.2512098264684737,1.566824746121282,1.7017718582119539,2.151090540825183,1.501162615064829,1.6696367055897359,1.542824846686406,1.344815336941494,1.3086697739541384,1.084160404007201,1.07680527237705,0.9556694280746473,0.8413164434782493,0.771908574432773,0.6088144494310959,0.5623404428202228,0.6262580225982052,0.589631364481261,0.5754647360062259,0.6107117950390186,0.6455499183373887,0.6240227026992117,0.7297875166499614,0.8046076599607763,0.8314753960697718,0.8822714459128196,1.0440475190990959,1.0989621314180384,1.0035901866434442,1.0677709474961459,0.9120699379441708,0.7804301099421512,0.8130010884815239,0.8065925662287855,1.2172017615840194,0.9728383182620519,1.215176641758509,1.0315472415560976,0.9411991062849282,1.0225585797086931,1.1544637880160291,1.2877260503124774,1.1467710653937622,1.1127764718331308,1.3902135071378914,1.2331392266485983,1.1889299173840384,1.6702146344579007,1.6495897234925814,1.3148275337839888,1.6611584967616437,1.0352391784730415,1.0649144960932546,1.0264157065471045,0.8836704152853643,0.8835393597348934,0.8397739490310486,0.828949299002021,0.7533263824789861,0.695021623607854,0.681461150754764,0.7003683894331159,0.6058100314176841,0.617246946768664,0.7563052242086642,0.6524573396975192,0.6570491131220751,0.7110006762337349,0.9549798734852825,0.7846487169796623,0.7541679260014664,0.7023778251654665,0.6382552057080398,0.6299433013007532,0.6607310309108012,0.6971377547424392,0.6473355692621326,0.7189268522842411,0.7495720353857553,0.7261281092503673,0.7401644716963846,0.9149285661215713,0.9087224587491218,0.7825107856277834,0.9631554671319542,1.1445179581010252,1.365013983622789,1.1250079179506085,0.8033291651476362,1.416747067767252,1.3079326492173229,1.0772885537075758,0.9264238588902338,0.7349903987143006,0.810164894577586,0.9106347549180145,0.6876354966372661,0.7197484038467807,0.6712760012174789,0.6905704663466095,0.617977092115367,0.6692014159499474,0.5426647538133846,0.5208332613800628,0.5264520637842673,0.5178557262012754,0.7602240595135695,0.6684381434876705,0.5471598326267286,0.5187223423266503,0.8305525442411827,0.43685803164620096,0.9993298626543441,0.9047322737808486,1.5423705122032405,1.3472825296933586,2.988441980743597],[0.8051372265907671,0.7065425860770926,0.6078302050461651,0.4618047431081859,0.5478047253044512,0.5452666938345558,0.5974855474229557,0.6317928846081666,0.6298015936472281,0.6303254064037643,0.6728665412318869,0.6411259103103679,0.6388347759231305,0.6732881813461595,0.7456765818984757,0.657412259204136,0.7043864327064358,0.7452748202397897,0.9171951782112513,0.8297920142856794,0.9700977777149293,1.0479542270357078,1.2839617844923987,1.409504127630304,1.2528619905399374,1.0046328757959253,0.8143508434913689,0.7017570857461903,0.6821802631636233,0.6441228273307915,0.7301501688837622,0.6243488898299966,0.6638846272902659,0.7285440438977903,0.6827955301633039,0.7260553943873879,0.6248518540842459,0.7513941130600932,0.6940378540668009,0.8309022397681908,1.0207616000964244,0.8883423375239078,0.949678593816029,1.0634920172122757,1.3703604621921381,1.4947101170060129,2.1802512377469903,1.483447292724404,1.4322167785834081,2.0044030925746914,1.5765570132908624,1.64399362758595,1.3652935387158904,1.1894138113031136,1.2017402773640475,1.2001068124156404,1.1667618965907265,0.9827992361566463,1.0412242462560173,1.8225597356359544,1.1681123843083268,1.0803302508994261,0.9704778009472983,1.0619811124599248,1.0903523743469459,0.9584369058696547,1.0240601173448296,0.8862393818261428,1.0406068864355658,1.051079026693476,1.2065165048757718,1.6005637971244993,1.1765007176536464,1.2853264099919643,0.946682076034179,1.2768161019523234,0.9336317612461115,0.9017377417414211,0.8281526231950922,0.8787423919699737,0.7438748152405013,0.8001795763186663,0.9274248701580448,1.0399456633786532,0.9220164771372631,0.6398029648511013,0.7384727357010662,0.7467785813949779,0.7728546485969358,0.7984944022363846,0.8196828004624361,1.0397820911161904,0.9781494302226826,0.7568335314907669,0.735021510194118,0.8487855575905715,0.9218991089485793,0.7454609024620859,0.6692957647167787,0.6621664441407095,0.6280288810900058,0.6391833902808581,0.582898321015156,0.6152928051089712,0.9333696281873581,0.7079483726674927,0.7906519407106001,0.8580249318252997,0.6907994738422489,0.6282222368607451,0.5890319338601925,0.5551322317566407,0.5300857159516744,0.5080763171500592,0.6073223107305887,0.606129327332403,0.6768971028697441,0.7563510287376283,0.9793139881670148,0.800739663273037,0.8347862105284598,0.7252358941197872,0.6855332498091412,0.5801472760217704,0.5642947650353161,0.5004423573002935,0.558527836879346,0.6060038480051904,0.6330707143168921,0.7164030097661018,0.829606053248957,0.9611659636391817,0.9552555405972829,0.7948521620708983,0.7732582776594711,0.7639167220639123,0.7576271034408367,0.667681159800444,0.5544935073466133,0.5757323619931839,0.6941596962390872,1.0069786258865296,0.7765786217628857,0.6744441347155866,0.6903742803169106,0.6526285512744304,0.6156445959443945,0.603076112576661,0.5270582621580289,0.6055512929104474,0.538120628007185,0.6799708296323053,0.8006882795561283,1.3040003468035017,1.09897372042739,0.6442396212737421,0.6017157655074082,0.5437896711987462,0.5791459954559414,0.5948831872512365,0.5964445904735438,0.6074033868867705,0.6384849430944496,0.6879296914027248,0.828572664211694,0.8763934332830666,0.9944383184571002,1.3149338021387433,1.2341785648103574,0.910505766592436,0.8134118912907685,0.678991806410996,0.6901457504941663,0.6581199379524321,0.604599879953727,0.6133210722228413,0.6490604270473798,0.6091787746790234,0.6662822763032725,0.6490910791673279,0.7972413686166989,0.6680239807324603,0.8665406209263719,1.05286755108582,0.9399109192286561,1.0914920879645107,0.9131549830549285,1.2323404266003348,1.517171586031454,1.6690456387004298,2.1357897289818495,1.4786489915632495,1.6377015458115576,1.5129567066532916,1.3405345485849551,1.3307680186010862,1.1045136198370324,1.1316325991286318,1.0194510538178654,0.9114444594368817,0.855095592808242,0.7020610673439596,0.6574130393285467,0.7237527878296119,0.6969970096752999,0.6735082550994301,0.7011038961425657,0.7388091695178852,0.7266339084285313,0.8166202332435255,0.8881111018652567,0.9229388068893049,0.9646403964786927,1.1386243815721917,1.179401954723582,1.0856633541457945,1.147509471487121,0.9907241638637317,0.8624105525738883,0.8991353568228493,0.8977686202671323,1.337859873339791,1.0706375708431872,1.2281453445505317,1.076712811311258,1.0166044602447581,1.1115067439103419,1.243460957129839,1.408436259187726,1.232787630179774,1.1962344791736301,1.45416206847959,1.2905682659902955,1.262624974123914,1.7277574542803096,1.7135295365738512,1.3707624936509137,1.6815620315728388,1.1047361266797928,1.1266705102003975,1.0929030344542645,0.9574825776630047,0.9580167594787354,0.9195436171653901,0.8996056930175232,0.8402222067741206,0.7727243733398703,0.7347216249545859,0.7540037903424295,0.7060008862154612,0.7103518601805346,0.8200480054321106,0.7446698255931123,0.7646055772757416,0.801026562291567,1.0192469463651843,0.8798500386926502,0.8624992844747469,0.8072110154198909,0.7472964012731035,0.7359530596174897,0.7618891985879361,0.8024192214688909,0.7547454711335743,0.8176614614881436,0.8331912655908185,0.8108613046605312,0.8204295108163835,0.9787623906196252,0.9797369082407724,0.851821877997289,1.0138475175734376,1.2089139915548561,1.3308807050939733,1.1125615569084015,0.8570531806905614,1.405537685759014,1.3158742922018163,1.1225883806447534,0.9651288472528475,0.8110095725641808,0.8880640209485162,0.9479798040770265,0.7599183803061677,0.7695528182967798,0.7118377053281458,0.7768209579859708,0.7092956471301308,0.7544261902044945,0.6298675048246316,0.6214031914065511,0.6303726314872065,0.622029264982332,0.805131234264957,0.7708851768936108,0.6642817904561944,0.6206399250061401,0.9181433166100886,0.5131379326069208,1.0527195768147157,0.9348583617784068,1.5172096111872975,1.4856151272994835,3.3895295744256453],[0.600352222656882,0.5369746047234071,0.6266413704316733,0.36483883168246883,0.5449851275545061,0.6331461335344511,0.6975165494650448,0.7344547944861398,0.7246240869537864,0.7336299371041094,0.766552131166281,0.7296136540349704,0.7615124760499289,0.7637846749139453,0.8276489456226094,0.7572221383792617,0.7930248485251238,0.8443567089382192,1.015044677546386,0.9322170914129863,1.0808943843474474,1.1486236167132657,1.3906999604305714,1.4810399460374755,1.3291364492245075,1.0915956934253697,0.9015068352467583,0.8113223857726173,0.7872498635592914,0.7527776183535305,0.8207539259262883,0.7329154083822195,0.7522413284686934,0.8121103386217474,0.7947819131317474,0.8295770576791152,0.7197603693640832,0.84957717027466,0.7840298286827478,0.9065503582732276,1.0724235251558392,0.9625040530940907,1.0076041981975221,1.1109202078727176,1.4641870470873408,1.5752092203234433,2.220218990909439,1.565925428528051,1.4195603824236198,1.9975784306209716,1.6633726528206074,1.7044186053083956,1.460400815676539,1.2072117571186474,1.2777827623438462,1.2620913249293086,1.2280884392551508,1.0567368223728864,1.1071934214367314,1.8357530085948612,1.2402583465830321,1.1658693117786432,1.048454307991521,1.118345038712822,1.174133654595379,1.0612545420982387,1.1201731556187253,0.9825134948641613,1.1245205420651005,1.1378364697586687,1.2715834919314561,1.6375144823865875,1.227019820248878,1.3244463192335234,1.0275316074983412,1.3178483447908407,1.023254630155403,0.9859152486177256,0.9162310706102442,0.9577704138140323,0.8324918757898278,0.8805103221085004,0.9413739187897643,1.092796296616601,0.9637236388920385,0.7331913677298373,0.825661796198511,0.8424350055758143,0.8675714950644681,0.8726569322392387,0.8911414202907428,1.103516289709879,1.0347969403378436,0.8232315609847375,0.813721350757185,0.9035930244564135,1.0056748067174808,0.8196205558363528,0.7410426921539691,0.7347020908837504,0.7326160230441128,0.7293745047821022,0.7035249530652669,0.7449659039146191,0.9683605604051616,0.7903136055787149,0.8517240112103286,0.9051382715846414,0.7247955938880702,0.6898726900244716,0.6449142385639277,0.6664705342876283,0.6575995663149232,0.6308257380462421,0.7443326505888509,0.754290416715018,0.809365950330175,0.8883387264994604,1.0727988430323332,0.9222474361335137,0.9550056503404822,0.8473278321141868,0.8244053645921666,0.7074644395838288,0.6776672527403798,0.6377078150114869,0.6042594728137953,0.6840780918774333,0.67587305619309,0.7552507479847202,0.8175673944572578,0.957182552075439,0.9595384729729735,0.8312333000154705,0.7861911898728814,0.7500246500775982,0.7688869875463706,0.6713080908013476,0.582728742990774,0.6490924255200287,0.8098522927572752,1.062467776080842,0.8768546615869344,0.7830491247574805,0.7874837033968567,0.7567521722254407,0.7302096458496105,0.7039232490783592,0.6623992238892723,0.7367193054652464,0.657715945528474,0.7811558335976834,0.8778254309773572,1.2927766001795786,1.0899211346259685,0.7202412728976096,0.7014516754116898,0.6715706410076882,0.6969225106049349,0.6907167407782515,0.7084742243337022,0.7207882693095847,0.7442461323549399,0.7880263055458613,0.887114528118013,0.9163394717749587,1.0282409202370737,1.302611263130918,1.2037698213347219,0.8839602664701374,0.8217338817540751,0.7305751780728957,0.7552902881424715,0.7380356996450995,0.7086580307263797,0.7077689830720706,0.755768921685071,0.7158482891188612,0.7650737707823544,0.7434929180042716,0.8413346944929921,0.7466449233585999,0.9241742780948907,1.0963691381941574,0.980788165786452,1.151543876650579,0.9766910893244424,1.2959727997131558,1.4965694932037836,1.6637393466281862,2.129255066993842,1.48525527650248,1.6263601486489914,1.4953790834713825,1.3379209109607388,1.3528340885857257,1.07075374644651,1.0769621331235897,0.9659987197838326,0.8577940210276935,0.8350298920817679,0.7016656857889725,0.6427873311169048,0.7094973456827928,0.6951934174486023,0.6723406694932176,0.7170529555003491,0.7527955326789613,0.7416755313898135,0.8468568335686999,0.9390225138232936,0.958365894787945,0.9829292240087844,1.1757769817556813,1.226904703577348,1.150139886997153,1.1670316805166645,1.0625776827676818,0.9072868265612235,0.9481472565102167,0.9423829207360984,1.3311860435486456,1.0520308327782717,1.1582576711190293,1.1348669536509217,1.0592530720150004,1.1103023835583972,1.271174831726199,1.3993675603872677,1.2727188990950522,1.190839529888612,1.4650979468552925,1.2810409069836253,1.2599180019302954,1.7658454018308547,1.7141218888301208,1.3425701569672737,1.6640179091129301,1.0631318840163133,1.1006936531653055,1.0896570500209395,0.9616753835383584,0.9397753258695395,0.9406530902256528,0.9307585395793787,0.841974790811676,0.7814540790118347,0.7503405962206157,0.7711606363831645,0.6905751038761371,0.6899521815008246,0.7847222953029653,0.7334514655399913,0.7722498250170152,0.7796703581207276,0.9281820952592441,0.8812484346559665,0.8629448315263412,0.8354944771630708,0.7618744445477313,0.7391424487230788,0.7855064418692399,0.8208213939974319,0.7686646451706796,0.8313353494375729,0.8573346979484299,0.8392043480866505,0.8334212861518028,0.995592860424372,0.9949921353260126,0.8740499010759228,1.0056780062154589,1.206250676224894,1.3452020165257703,1.1662369826853496,0.888677473171557,1.4927723522233558,1.4287672345023064,1.2657967008118867,1.1068361811855139,0.8941752218478224,0.9664141275648516,1.0924455722734043,0.849543820153273,0.843997094143612,0.7046363379468781,0.7368783453293765,0.6566019763432972,0.703878913072598,0.6292077077929437,0.6406922782909076,0.6430311435111984,0.658543458140083,0.7400717802701947,0.6826241654571285,0.6680183356305321,0.5443095703187995,0.7873825006484145,0.47137247992758885,1.0371372842169968,0.9121636462541702,1.3084292586972992,1.499728563916199,3.15824157989591],[0.551665813629048,0.5161528158725267,0.6231265616039745,0.3702147275751347,0.5347870316506486,0.6590784066001361,0.7097667268229286,0.7386566621049905,0.7248056773362392,0.7084403695769803,0.7311432844220241,0.7024157877286512,0.7046736686027002,0.7094447946298877,0.7528328029810404,0.6768113290347965,0.7072944905626686,0.7289789545600557,0.8827638885556348,0.7831924501397594,0.911043009307933,0.985905364837626,1.227404569161392,1.3262076156206777,1.194504701808484,0.937282898500105,0.7532579692943033,0.6905551592768744,0.6774758071326676,0.6590364100781234,0.7178075137089948,0.6500088712257356,0.6669990113239249,0.7016234368512871,0.6747272086624214,0.70397570210024,0.6164420841847025,0.7231281818220108,0.6430660956515245,0.7551847534288417,0.9254476713172305,0.8016509930950307,0.8421142507764119,0.9563583884010755,1.2997155815948012,1.483660914931157,2.108907145861904,1.4018212817762505,1.3142105660672647,2.000916524196331,1.5059058669317789,1.5744460574792112,1.2602852507398281,1.0527030732457656,1.1142182809610892,1.0786630124400842,1.0696463246592052,0.8816404331548928,0.922292553462684,1.698804713029823,1.0618229626385052,0.9764698220348529,0.8710070357086974,0.9521776920643752,0.9845404332415121,0.8852439570105121,0.9524725135321858,0.8336203347269006,0.9991210518491715,1.0338286747379626,1.1609078206577756,1.500042433890366,1.1029898571251107,1.1806834307386893,0.8936574470134042,1.188578634621543,0.8636800294088199,0.8327496946479266,0.7606551120573715,0.8031217068129061,0.6917197693827357,0.740404032019862,0.8669638936113481,0.984856421142047,0.8556697857961902,0.5991636224502495,0.6850187000712226,0.7229122678992674,0.7162163387237677,0.7486733483043473,0.7631369524106324,0.973011166049994,0.9071417818564356,0.7116632217206027,0.7191934354866826,0.828252272621713,0.9403373641799936,0.749746007044161,0.6912493258344791,0.7171173004653126,0.6776910752014859,0.6817677332950998,0.6195507325525659,0.6812797847345036,0.908786353602371,0.7346776599965748,0.7979526794943754,0.8588365752476916,0.6919583160734657,0.647149166742562,0.6180569770208035,0.6200575650337353,0.6293022744489369,0.5778810286745046,0.6833000134672211,0.6817844383616036,0.7272430616777599,0.785381449590781,0.9489265788396658,0.8004448851337889,0.8481785350964488,0.7670323856980441,0.7589924365863586,0.661815648692434,0.6562093674277892,0.5885913437000564,0.5842009074539278,0.641330920707884,0.6324258427473749,0.7010570478529713,0.8035360932062855,0.938537469840557,0.9261357515355075,0.7704906176146901,0.7391360132530816,0.7172651509982675,0.7331507898690809,0.6301204843304914,0.5311307568484958,0.5812578361605106,0.7157264372427247,0.9645531806684099,0.7529421990985414,0.6705986152597043,0.6583031112621831,0.6529265419313486,0.6427834095622584,0.6269241851439163,0.5941569621831888,0.6964169928180128,0.6334287233335433,0.7739150861930632,0.8826568335008962,1.3048312988788924,1.0921725547905847,0.7033637598228659,0.6693380994334835,0.6328808528965517,0.6319279080774872,0.627161656589415,0.6117618181703187,0.6123474418834509,0.6237872336063491,0.652581709888416,0.7934166912699177,0.8291975531453064,0.9474791806177828,1.2638740604786094,1.1968750984858527,0.8623446778962913,0.7661807832980465,0.6462289288153688,0.661004298563396,0.6345627680068278,0.5938556126141137,0.6034174245068552,0.6537575436675798,0.6112449409524785,0.6472600528462947,0.6407114243322362,0.784599092555938,0.6566394771221381,0.8419055486683913,1.0188966568258468,0.8982065888468348,1.0318759843725525,0.8451467957722965,1.1462711475437553,1.5732107933802004,1.5851683164693346,2.0599858733805516,1.418063782756354,1.5939157274193254,1.4803818387731695,1.3151138703151728,1.313940647256745,1.0837730763515419,1.0996750888880928,0.976248512688559,0.8683570347038239,0.8163797119295353,0.6775782993884538,0.6246773208370715,0.6832144912520727,0.6589326092564465,0.6445995833559355,0.6841945934210475,0.7100081392389249,0.6997992508565151,0.821802041050524,0.9034817471847272,0.914653801710654,0.9617660595890026,1.1557032462661332,1.1801601434834543,1.090344082875299,1.0957139905005344,0.9638374618580037,0.8255163316169057,0.859829342276187,0.852603831015724,1.2396012817933648,0.9650638406104688,1.1434443218125419,1.0757331026372912,1.0003711087321088,1.0816772312310987,1.2191700373983898,1.334957631821041,1.2204538138758192,1.162313327741925,1.408821822805196,1.2511681499982978,1.2339265968700497,1.7231315661877888,1.6811365371730604,1.3360217600519417,1.6802667238605333,1.0626549881140792,1.0938832386431292,1.0707750187037826,0.9389432395767127,0.9287076687998211,0.9049339967656332,0.8963038107369645,0.8141764628200179,0.7468027040054265,0.7235490543647569,0.7426220058437478,0.6645397485285305,0.6644916647539688,0.7684440058890677,0.7050230884226341,0.7285818891488246,0.7542098012865573,0.9202424357649183,0.8458953625193584,0.8178319602611972,0.7832983872394446,0.7047616707619081,0.6890069790738302,0.718763530851746,0.7546088400095806,0.7111176662015721,0.7739980146722687,0.7921746173903281,0.7735846516230713,0.779950806175623,0.9352078151569235,0.9238891025488725,0.8048245910086353,0.9658452412647559,1.1470822484946857,1.32658073035721,1.1397672628414497,0.8185250101523647,1.4426808869374599,1.3676714536759274,1.161688851844091,1.0489540945495257,0.8333894921880729,0.9421119628056217,1.0766906497448203,0.8082190472564545,0.7791051913623103,0.6890372856297186,0.7062250631212019,0.6406813498520234,0.7043420407306438,0.6037469703339157,0.6130338582332144,0.6158769380962706,0.6258406640248689,0.7303089747637451,0.6738626174578476,0.6477909020707159,0.5370223973045933,0.7798436004503878,0.47760980255021884,1.03319208977945,0.9082446714086704,1.2737135483678088,1.4773359396371581,3.017779955848718],[0.6963602365011934,0.5936092503658164,0.5593995897296387,0.3838223528430644,0.5238797396597417,0.5424595584985816,0.5925685989872381,0.6304930231228073,0.6014926543941328,0.5814242278478868,0.6095506871864568,0.617434357874897,0.5923802600277955,0.6085656061419644,0.6583009296977068,0.5951460540455104,0.6461553830940694,0.6685151699924539,0.8103044932657933,0.7456970385191554,0.8911153843482669,0.9907352884628651,1.182981854344942,1.3393253695542646,1.1560224817963796,0.9241129637707989,0.7383594953694093,0.6476434109348728,0.6319931948666897,0.5934189740565629,0.6525291289293692,0.579309771959768,0.6020681376755062,0.6429298070025613,0.6039643184620205,0.6459192048004903,0.5824320778465144,0.7011405315902157,0.626999638315319,0.7702653120467943,0.9699530268341007,0.7998704346857962,0.8698279887619874,0.9845878821569003,1.356142199104256,1.5415062175299594,2.1728818472608302,1.4385430500105723,1.360900997669997,2.0362528508937965,1.536359793346071,1.5920795925842348,1.2752459420803657,1.0608140070495766,1.1008541931153513,1.0938593516668746,1.0982421112428287,0.901812006181423,0.9366672345000676,1.720659396377767,1.0791230696776357,0.9728810898986303,0.8725500570832903,0.9520966918447394,0.984486724306891,0.8909569090058911,0.9302463200309851,0.7895142394053568,0.9558021999843043,0.9728992391360225,1.096684546104725,1.4712312350562113,1.0595990724543962,1.1660531414442488,0.8510843876096023,1.1970486858524918,0.8355931052823722,0.8063557399696016,0.7458370300387236,0.807772289048579,0.6542881258731679,0.7240619373705941,0.8621112275697418,0.946070937938861,0.8335403492037327,0.5789986331441669,0.6594327818104877,0.6895723718355735,0.6860000522937053,0.7079155197589739,0.7294978649744589,0.9442604792095324,0.870524749152314,0.6499150757598487,0.6367146449830285,0.7568528540883821,0.8419943909103366,0.6682392165606128,0.6120506144505692,0.6487048382595192,0.6125337580501707,0.6222317891013422,0.5598407328725916,0.6178501837752297,0.89180574960687,0.7205940109036064,0.788974500597954,0.8514854485914731,0.7011667678989972,0.6512541919122538,0.6218008753100756,0.5820547473010721,0.5428450515054984,0.5073598172419539,0.5769763451094762,0.5910922149032991,0.6653813155975892,0.7201459299330082,0.8979275593107364,0.7232849418109973,0.7682633030655409,0.6883745038185795,0.670582857031999,0.5545974498285133,0.5373445346774904,0.5009863559516303,0.5605282150077457,0.6377239848087606,0.6628999337341352,0.7161213339638816,0.8518486885437325,0.9779651654924199,0.9579826301613198,0.8009894386252978,0.7768161126968774,0.7911158078106442,0.7555492987750151,0.6743956140177427,0.5588516572351405,0.5897555232672679,0.6879821803101474,0.9594188200697579,0.7290118934627522,0.6374236422624264,0.6319563715528775,0.6124650565948805,0.5945303226562016,0.5576455336843523,0.523628093922441,0.5846806654913215,0.5538541029931829,0.6737004663680053,0.8341998546199119,1.2804916218056286,1.0711683295820065,0.6346998732081253,0.5902023526789241,0.5509114101772566,0.5548478476846316,0.5892428731838721,0.5693594062183198,0.5805246442816324,0.6010080746644745,0.6370681347093627,0.7999128334552597,0.8440530429974314,0.9662901598787558,1.2784890327501652,1.2200919500892384,0.9256894140674342,0.8060585030275159,0.6679470358403377,0.6738728318799463,0.635400393588531,0.5727199258402165,0.5875706635874004,0.6124644658829437,0.6052742920521099,0.6337533216498258,0.6357520846447127,0.7676952765967365,0.6569361793692396,0.8625343540834594,1.0415297246330932,0.9178939545528199,1.0503566619472606,0.8667280887800342,1.166390493325631,1.5846930767902703,1.5957552265559665,2.0505917560662255,1.4407293720628003,1.6022700376539472,1.4920750440121124,1.3367009879162646,1.3389846938517325,1.1256947383274656,1.1532429933643162,1.0440710419468304,0.9400906362296177,0.8723693868530884,0.7129261603389978,0.669558120716975,0.7330030136181943,0.7004616866712321,0.6666076751550027,0.6936100689560618,0.7295655677307572,0.7203637584483175,0.8081308909762895,0.8834813371844187,0.92227567788627,0.9611023147291393,1.1368728602071316,1.1941491034666336,1.092999532393481,1.1560352700099623,1.0090577104215033,0.8766096896772885,0.9115737186698508,0.9210442534878951,1.3414855209364807,1.0745176273018966,1.2346341998845254,1.0859568883217299,1.0305660838659607,1.127183242318006,1.249709536708714,1.4225355257889223,1.2402269691781571,1.2007942071772773,1.4761523501718794,1.320704914415283,1.2785284563252444,1.7236438432679646,1.7393767064599894,1.4033106495564571,1.70803090014733,1.1282303053745015,1.1342115177935899,1.0967233917010806,0.9612173427825553,0.9457860297700101,0.9128042791200395,0.8933284427199768,0.8435359012864766,0.772832739843235,0.7269289415869316,0.7454981384028756,0.696965045586495,0.70352373934281,0.8001322347703729,0.7304060828163267,0.7595791053212613,0.7958637292704416,0.9793544216232241,0.8811568580862061,0.8671641499518808,0.8168919737261973,0.7556491384250764,0.7367749839391867,0.7707082827356386,0.8163891982575705,0.7573529175206235,0.8238359008178227,0.8524564869457384,0.8268780959791263,0.8379602794962028,0.9930556357873719,0.9929092805074294,0.8695605896333943,1.0462264720610117,1.2184446355242966,1.3566210185962353,1.1422957584389712,0.8722360680764064,1.418395317588374,1.3297025809242042,1.154512156561203,0.9880027887623716,0.8159958341176591,0.8935015942222616,0.9633702210769038,0.7552492287915501,0.7746451498043798,0.7157250995453284,0.7863062812220941,0.7190182754383102,0.7831523370445227,0.6481275021963318,0.6310592694630159,0.6371332885914843,0.6101940428124604,0.7497360753951733,0.7366381805294893,0.6292488953450495,0.5559537043077278,0.821953111529218,0.4463393975966826,1.0560778601268717,0.9119075877827183,1.3950933781666024,1.598131709344916,3.526715712717716],[0.6500614964293848,0.5608623490138747,0.6614542887127597,0.4192796368197338,0.5620171611922569,0.6532821442221284,0.679404385399181,0.7175189235271014,0.6748569654636167,0.6533748983965786,0.6702679458738015,0.6649568501069195,0.6683667614627109,0.6540238075526421,0.69877469227086,0.6462773918465162,0.6813121812078382,0.7170346235407321,0.8854126934698212,0.8128594455321984,0.9577181373803076,1.0467491793297639,1.3025588840172093,1.402282344262336,1.2654335511060857,0.9894192405317037,0.794265839035229,0.705270179675403,0.6769282118500042,0.6496850779223005,0.6953764050154561,0.6364788135847517,0.6438089585193801,0.6875467553372265,0.6666841888908503,0.7058329756036736,0.6222555633610648,0.75755388431379,0.6818210392440947,0.8030872580094004,0.9687251487584144,0.8586937373201751,0.9075362573791317,1.038211907839412,1.38357379239742,1.5687065182469486,2.159661362173364,1.462998941331645,1.3491152818223056,2.0173138002252853,1.6065227582251083,1.6145662603102429,1.3390927904282548,1.0875749254205078,1.159463027955771,1.1571797012320901,1.139722398853366,0.9397719533293779,0.9880020474453448,1.7387462007811316,1.1145207274686204,1.0188481162387777,0.9003979598243091,0.9965274857671356,1.038571325262881,0.9274170502868762,0.9833646953348258,0.8447124016572946,0.9986616691801193,1.0103670412690073,1.140750566172178,1.4932733285089368,1.0854102259792657,1.1851871338728681,0.8878988830504086,1.1850383305565144,0.8786001413210882,0.8456888478346962,0.7816115136582917,0.829350113321808,0.7174819605383164,0.7759670711393313,0.8792032959559013,1.0050879231210692,0.8707311718472127,0.631507494474569,0.7226154145291637,0.7423973289828111,0.7349344842382887,0.7575365864165579,0.7573214815367287,0.9636825503451003,0.8813936225930621,0.6771522955987453,0.6760305895465933,0.7752608580887939,0.8846370395898681,0.7044470018991773,0.6550338839349319,0.7035805606425006,0.6606048871146718,0.6702518544993166,0.6299397550061782,0.7043545382939862,0.8752493467524132,0.7597984239580488,0.822251442417974,0.8878002020483077,0.7360211889071019,0.6836719129524464,0.6633063222996396,0.6543266222269789,0.6300709936443282,0.5774437604884718,0.6494455812767786,0.6673738192886906,0.7335593776697006,0.7897479120041998,0.9615476612134629,0.7873870226621794,0.8256585389933542,0.735195555009599,0.7318274776828656,0.6223030995180591,0.6137179180282292,0.5758930663564202,0.5641579051039296,0.6620451423455049,0.6787117231756169,0.7381990836272971,0.8318882459489073,0.9664177740362487,0.9349962532063039,0.8084021130515777,0.7558832411158705,0.736088466268565,0.7310405413163208,0.6496371418167274,0.5494924643534731,0.6084155973018377,0.7566678395042671,0.9852359769175395,0.7857970256450774,0.7010436791479449,0.685880986353191,0.665056535991545,0.6506746987457407,0.6113300441055166,0.6014337752453545,0.6796541252849606,0.6339961401114166,0.7524941203028946,0.8975447297706828,1.3147168225703678,1.08194370404771,0.6972776337163886,0.6540978844775299,0.6290580696716506,0.6202174414558068,0.6299770754573413,0.6279061175258126,0.6311518005916086,0.6536886454024333,0.6927579155275014,0.8345476209443238,0.8494772218079294,0.9758243579179291,1.238137979521256,1.1484918360272347,0.8646105130534116,0.780757503920554,0.676664560882053,0.6933274230179567,0.6714780272291716,0.6283191249169594,0.6220776200556428,0.6586148325216242,0.6429825278564657,0.677770430217438,0.6892173335850906,0.8107546888416446,0.6912010759467906,0.8790989883626263,1.0484889469569396,0.9211050773963921,1.0595214269400812,0.8828626886115233,1.1877135930867992,1.5508195198890955,1.5428491890169513,2.0229054626129153,1.3972501117455889,1.5429302693356173,1.4267788256033564,1.302467951470345,1.3501724300635507,1.088606571623745,1.1247253958559482,1.0196795494671085,0.9122957084665753,0.8947962435059127,0.7567888877575564,0.702649394722875,0.768051477707038,0.7607578535342752,0.7336926637579841,0.7730602155264594,0.8160305898907021,0.8167695788772051,0.913638954461593,1.0060708111247498,1.040636179699113,1.0633300371821566,1.2598218004944832,1.3200142754381805,1.2292347943304194,1.2452878039666462,1.126683945605781,0.9739614871572173,1.020312184861454,1.0111701677886684,1.4585644803977378,1.1244871821164903,1.206058118372075,1.1508559159494247,1.1170295723679473,1.1881982908070339,1.3265004623510928,1.4994218094717686,1.3206686598331816,1.2370219913600196,1.5340110266062978,1.34441050918828,1.315704767357296,1.7719359313586773,1.7748210616913718,1.4045465924710763,1.697109278089708,1.1327384344126492,1.1336591214936393,1.1246180139228454,1.0013564569727238,0.965373109226214,0.9800669074614664,0.9343788165105418,0.8788070342438327,0.8366539074419878,0.774228184119254,0.779910498983547,0.7531408839259278,0.7674430662388935,0.8488529696706603,0.8085483972667399,0.8542569752933514,0.877903161057896,0.9976428938079676,0.9751160122317605,0.9631472090753683,0.9225479376709886,0.8474889552780536,0.805256261923914,0.8419568843583699,0.9016325864284769,0.8376417044267345,0.8936577344566815,0.9155270520940009,0.8986598910217082,0.8835679607995985,1.0302210751434997,1.033645176712946,0.9160559371442886,1.0479374414129747,1.2513342594942878,1.336485845108046,1.149304457698444,0.9215104106267404,1.4577520423193187,1.4078459229940958,1.3048692805811533,1.1462766981608197,0.9516032737356087,1.0291712119238596,1.1319981125955458,0.8913171840852133,0.8491786123125787,0.7073753581336898,0.7901529853585952,0.7089098153639336,0.7662553198389347,0.6653695579026536,0.6933471727345936,0.6870207855482162,0.715158143015968,0.7107609624339645,0.7087837076150609,0.7370194302522748,0.6182943702759525,0.7586943739034864,0.5162298898695097,1.1111960119697049,1.0002518071717128,1.3128470766864948,1.813409111693556,3.655970471066128],[0.6601251710231482,0.6031526186626918,0.7258548690062345,0.4818880369088196,0.631700630265839,0.7298892994815727,0.7501221400439889,0.7890210760822558,0.7400177355076659,0.7208639788244068,0.7337403127811418,0.7329628557435093,0.7318733468504482,0.7057009716072523,0.7395700905783699,0.700939075595374,0.7256450290210212,0.7526681132905274,0.9124048243506173,0.8425471921043272,0.9791986819015448,1.0643953327749238,1.3197551437572241,1.4142742399755037,1.276766787618089,1.0074309346047263,0.8192860669231293,0.7462359769580904,0.7211850916068245,0.6996973431959345,0.7390344119808165,0.6943342271899506,0.6994748451047308,0.7283007829950128,0.712368107020296,0.747031681374146,0.6654138452744494,0.7859311781930562,0.7153477124878571,0.8196903012299211,0.9683948708636995,0.8747616290479413,0.91823700332237,1.0443122982383024,1.3896444373722778,1.5975965971167576,2.1399477218399623,1.4477442189898253,1.3366520722971893,2.027037223515967,1.6074258138008592,1.608109175492701,1.3333234420867466,1.080118691341168,1.1654835546370435,1.149051672533998,1.1378517553433605,0.9451878637776465,0.9878305504599832,1.700393583283149,1.1129220010472927,1.0160595391722065,0.9012008437141263,0.9930522807427349,1.03944139835991,0.9458874270959025,0.9943499000921072,0.8676980313303783,1.012658000814313,1.0374487129903294,1.1354217575291121,1.460367754913114,1.0816510149506051,1.167278035237741,0.907762572449993,1.1802098025309924,0.8963804358603478,0.8695389741244417,0.8065663121020267,0.8426577614457219,0.7493899755487826,0.794304709866344,0.9014198859720831,1.0217553550457528,0.8831773237639993,0.6704298600940468,0.7544935115979657,0.7740300411548565,0.7689658625589458,0.7914221485315095,0.7902820494606717,0.9907414869275893,0.904575527440266,0.7138499157315906,0.7169706498960319,0.8045206732009943,0.9163989672999105,0.750703786652313,0.7125255006508793,0.761584093375109,0.7233307849770207,0.7235813153079038,0.6900692598100013,0.7607631163501841,0.9017460591723172,0.8021356243515732,0.8567718406584285,0.9205149249465043,0.7693062359871299,0.7269559626720057,0.7122179191956108,0.7139872445419878,0.7041927982973252,0.648357025042191,0.7111957818682239,0.7302105320235543,0.7925421735432092,0.830954509891864,0.9800575263164888,0.8245835587533582,0.8641706722257667,0.7830396101144765,0.7910908485549523,0.6835966584432615,0.6766461465684354,0.6437920605218718,0.6295604653216855,0.7163809281186582,0.7181148019004391,0.7746183515473254,0.8508578509325799,0.97993655408419,0.9487091150310164,0.8331213224319008,0.7783860487484812,0.769528180243411,0.7648361831134375,0.6922425725003085,0.6027350147164858,0.6611540569111146,0.8067730197976897,0.9919162624806642,0.8125399586078895,0.7454986671835646,0.7174540364872276,0.7074773459122817,0.7025356193036207,0.6656605035866602,0.6677764606986029,0.7455905676985438,0.6984869388237217,0.8064183753393471,0.9356141373493175,1.3170751303029806,1.0904791861024379,0.7504669585835343,0.7162056997648486,0.6931287730193288,0.683568015707122,0.6910885806125053,0.68162661853798,0.6795379857757096,0.6937494815096662,0.7244908961866379,0.8594763899831337,0.8635588977797916,0.9901918207594276,1.239477567528818,1.1534757158309779,0.8808616389319446,0.8012010617649131,0.7115527530838321,0.7246093468869512,0.7083422070078575,0.6707183461570486,0.6688796422605519,0.707732662860172,0.6943292673749188,0.7172854305500976,0.7263174295425017,0.8389335719755949,0.7303469354109179,0.8989853618442624,1.0599799274330284,0.9331064366773811,1.062406182745368,0.8914029644167293,1.1814503714884483,1.5738561136362337,1.5153725299430565,1.9937994031913386,1.3889359713912983,1.5338849888258943,1.4267778035637881,1.3071735783084304,1.3498935855545446,1.0952368000570207,1.1280463750160938,1.022786741083605,0.9203601884933205,0.9040621622837459,0.7784117441638188,0.7277534553993429,0.7804191307865108,0.7717798783706356,0.7568727456783855,0.8008848938666715,0.8303196926649112,0.8280440207331781,0.9352701883153614,1.0275457227365326,1.0434567283917642,1.0668352452902445,1.2763897788194503,1.3178604657055821,1.2375580190648732,1.2259875067683175,1.1222402223207721,0.9657013987428709,1.0072963595889017,0.9851358625191577,1.37323774367371,1.0715131235408917,1.1771769938887544,1.1498494203699419,1.1088127496866116,1.1791085011135247,1.3201004310436766,1.4650230077420179,1.3213022799498062,1.2329901976470237,1.5102707158555528,1.3256546951996522,1.311086869635807,1.7759124998667064,1.7527030241225237,1.3845925737179248,1.7019695334687257,1.1276579618874258,1.142562530793646,1.131999483765066,1.0129071105151526,0.9824205230113463,0.9995285941957103,0.9669848264514705,0.9011192158805609,0.8536249781381627,0.800919808603838,0.8128588223579737,0.7655724237823021,0.7712029565989436,0.8496706094551085,0.8184155336008846,0.8606992053294114,0.8680615495100147,0.9747761911211047,0.9651217382286694,0.9481793927989057,0.9152912662311363,0.8416563970305743,0.804965577256793,0.8407031841295757,0.8817214661196362,0.8335977761725573,0.8901972167066473,0.9009617982129162,0.8867604696909834,0.8792282505244003,1.0220383460616291,1.0077753360457844,0.906483133982653,1.0323381778737724,1.219573699407248,1.3457320944997777,1.1737694227002544,0.928403266712578,1.501111500572279,1.4552473136795798,1.330953563237585,1.19825801228173,0.9821187128319937,1.0707870915921511,1.2052859277119967,0.9512556521806732,0.9037343139814514,0.7290340479822879,0.794740737198201,0.7249738239242782,0.7786621147622963,0.7070404552259448,0.7348985963353015,0.7317051765238178,0.7642456213389278,0.7524616463344944,0.7456044439492107,0.7910388883583724,0.6758267667264716,0.8097349551689914,0.5989296432787352,1.154915404514342,1.0217650819661135,1.302747953569064,1.8590173233257363,3.474753328921657],[0.688047230421247,0.6003178734237076,0.658543585121856,0.43830611324209423,0.5804136734537287,0.631504804388952,0.6478182611774088,0.690158506564508,0.6305697277167738,0.6030998840117238,0.6172113598011748,0.6426575943278264,0.6129378114732478,0.5906450630031627,0.6164262644578388,0.5708703641039697,0.6124535609244761,0.6233097596334879,0.7662960873452832,0.6986643436429121,0.8299469184992165,0.9307853311148674,1.1581816716665705,1.2781851378965088,1.1418006348812062,0.8746817831993635,0.6934323261192921,0.617352315701141,0.5984381240847731,0.5786758737087221,0.6094423095178672,0.5800406788905971,0.5846814099165764,0.609422704872441,0.5801038327645166,0.6136653540299228,0.5627934716561119,0.6609086350886975,0.5922675827607432,0.7196180273497164,0.8896134111299229,0.7484955547336596,0.8065312564336404,0.9386621976516104,1.3038317121972092,1.5591808589648555,2.1107720928886757,1.3725099679226467,1.3079002818267635,2.0651832243739747,1.5049324242056719,1.5537550754180876,1.2124110195251125,0.9672300630937306,1.038140769705725,1.016317193747525,1.0374197091841486,0.8344907289691134,0.8749301541346598,1.6081285435849237,1.0064295995119845,0.8807523797077813,0.7662609435271004,0.8540419908351949,0.8929643629364735,0.8106167173683033,0.8505626361462297,0.7243272351349451,0.8848025398851164,0.9202732195580637,1.0148057424244814,1.3470617621568073,0.973180216484387,1.0575243198032582,0.7730120852670131,1.098796569465689,0.7544661172092073,0.7291664717791747,0.6713515451639064,0.7217391892419762,0.6207414338113921,0.6827348916340401,0.851985842724771,0.9113141460142742,0.8035392747409708,0.5617039891533923,0.6310795519446891,0.6695889655982092,0.6327951977455128,0.6720048145197516,0.6646981851972619,0.8710010579414871,0.7820838371679466,0.5832701559287391,0.5904097357879353,0.6976349663826497,0.8058819399398162,0.6475701408561656,0.613051032132418,0.6997986335020578,0.6266654422687687,0.6465323080737648,0.5943106214314761,0.6709838396707831,0.8701402366300831,0.7303269328472035,0.8058055726863922,0.872053189300466,0.7443450955705847,0.6876781379156109,0.6688506523042566,0.6305237356994703,0.5947501987657609,0.5356577490558885,0.5958009472813757,0.605010327791277,0.6850366253007264,0.6958107659619605,0.8395632959599092,0.6871723529848166,0.7351866240799053,0.6673897622480484,0.6759816995095734,0.5643720467799429,0.5572387500512772,0.52036910605938,0.5823815812706267,0.6441391357457105,0.6991302382431964,0.7354211198940155,0.8757709645063579,0.9991888596355989,0.9568480877096639,0.8190828217659615,0.7770910960480366,0.786562446369418,0.7451874253006526,0.6675084047429305,0.5394637749658654,0.5778644217602337,0.6627725405654994,0.895823399255568,0.677389186900671,0.6163384497544883,0.5965821672047156,0.591288461347207,0.5937311711467048,0.5538754958513106,0.5546558864990635,0.6234830479572911,0.6140533266083299,0.7251186140046688,0.9081020678905829,1.2824045130329311,1.0574799437908617,0.6835918148227719,0.6168321769271817,0.599804822419314,0.5791362828778479,0.6073473852467319,0.5805520730453919,0.5801246001025279,0.5901909126993105,0.6219872663613563,0.8102463161966725,0.802962387093184,0.9554277773599156,1.2385125864458797,1.1899238694393899,0.921368885591329,0.7904740284106611,0.6494389263664843,0.6700770146615593,0.641510387042575,0.5827538986790678,0.5859277828201314,0.6122823608868044,0.631001818900537,0.6351181912584184,0.6640937668894198,0.8254390443411885,0.6664262810976078,0.8595156398532858,1.0357285805912984,0.9055965905750037,1.0024044279303979,0.8178118241316142,1.0890185128483194,1.6841206290081447,1.4746555882943377,1.9288338977854083,1.3624670506560317,1.5191089541251397,1.4293600586952242,1.3075713179564081,1.3402418703088033,1.1339701910501212,1.181851286794603,1.0644336024569943,0.9663381414390985,0.9058931891314088,0.7654559425647874,0.7265678686345021,0.7769879502252117,0.7523487207917051,0.7314609660275925,0.7569090504159709,0.7763180217645089,0.7847670061140961,0.8836279753340778,0.9586334610879588,0.9881214586567555,1.0389885402242809,1.2339895204116904,1.2574729350893212,1.151304837940684,1.1719586527364534,1.0141036155562304,0.8906942103366905,0.930458567281278,0.9138742765430785,1.3182873509144128,1.0640803562809384,1.221193222897154,1.0803879109825705,1.0485614607272131,1.16578889811146,1.2748821237335135,1.4439987353892543,1.2589139487205836,1.224456703910109,1.488098062259467,1.3269022664295897,1.2972507390901729,1.7075320936421678,1.755570086881161,1.4205606207401873,1.700008316151203,1.1526932185333014,1.1375203354156413,1.1130993461772984,0.9920000782645407,0.9679925456059517,0.9548196890967827,0.938088547887033,0.8865194141479046,0.8271333496456824,0.7732201523528134,0.7929400517759794,0.7598565057486221,0.7724759052219564,0.8588456513470788,0.8012813568364854,0.8271030236785739,0.8596323189985348,1.0058855183146571,0.936402765010792,0.9197369728860668,0.8665518516891938,0.7995822776076486,0.7774639774011894,0.7995059696792155,0.8395429843247391,0.7930196511715604,0.8548885764794247,0.8558219219684824,0.8364677619447785,0.8552552742918658,0.9934371337509579,0.9796615323323015,0.862740838074944,1.0554938614443676,1.218168178606441,1.3456232148927212,1.128215279671859,0.8647239701982843,1.4162604303491912,1.325567838917826,1.159150992352939,1.0431372948275563,0.8709558825736242,0.9872966029215741,1.0709806316161132,0.8200401633864766,0.7829306006750185,0.7453774869203001,0.8226659639976992,0.7540251452311847,0.8219467025212913,0.6963788196721005,0.7058643316716389,0.704799102329035,0.7064856106720654,0.7524583045353863,0.7534158325604242,0.7275005438993588,0.6348130325903562,0.7986094549655114,0.5241123727865727,1.1124597825689542,1.0175145063000257,1.331221493031925,1.846189340540103,3.704325574529499],[0.7511506241090778,0.6499227797402655,0.7593304469600456,0.5119702119488957,0.6487189645750747,0.7024413614722287,0.701437274347982,0.7460303981037674,0.6779499136168512,0.6405404984877772,0.6499610990831227,0.6803173186533923,0.65215663812832,0.6308383613152909,0.6562683947727165,0.6062947279980945,0.66415255965331,0.6849874850647115,0.8239252052341481,0.7736856961521846,0.9161551584524708,1.0246105728172028,1.247811045630843,1.3583073459600965,1.2088298596348543,0.9499210714671729,0.7640230516908958,0.6817074687935765,0.6611885075516584,0.634233671266618,0.6587317987227101,0.6266686853798918,0.6273546137593378,0.6658753158455254,0.6380847270036238,0.6792415973501857,0.6227053356510055,0.7331927405295556,0.6780095987650189,0.8065191181137663,0.9666040144406963,0.828509702962214,0.8935683780478592,1.0329557971080345,1.4052498332446237,1.6274874785314961,2.1861635687298846,1.4667941157611262,1.3482351662219758,2.0662068420836777,1.631383295594097,1.6478209149249925,1.3436166506184377,1.069565064730476,1.1346314500177108,1.1389363307769358,1.1238561096893795,0.9167872134052135,0.964115395114486,1.6840967871865464,1.0914443554759155,0.971003859583297,0.8464837413789061,0.9515738355883138,0.9913744042711297,0.8877585919351815,0.9309486684217146,0.7943402047556787,0.9469250100155178,0.9822538578836454,1.085387660735641,1.429199653340396,1.042068330228629,1.1345958918437395,0.8358653315984744,1.1568824741027268,0.8284112866498211,0.8038504698478985,0.7444691332199367,0.7914786576017288,0.7003768254431244,0.7640369262168136,0.8891966215270894,0.953839154395133,0.8577676171839015,0.6430638953477965,0.7084218284125056,0.7213362948770013,0.706840272953535,0.7385786890695629,0.7234887793441959,0.9222598750944438,0.8318981233199946,0.6260925847186762,0.6379344867331243,0.738475628426331,0.8446130382703674,0.6873331258844477,0.6532696747414879,0.7335880551349322,0.6725737026266662,0.7039023768897315,0.6459236329116044,0.7307269428433492,0.9015956935829958,0.79868404291811,0.8496821207757652,0.9022642400657535,0.8087029035101335,0.7468531239444601,0.7293331609106223,0.6938332285856309,0.6515408993596571,0.5928110970108762,0.6427234095430081,0.650015505129507,0.7267196908368873,0.7559723362356324,0.9103966198114518,0.7424411923199087,0.7777833868882958,0.7148469096995308,0.7137486484479201,0.6131213462650764,0.6052349353775336,0.5747567653642364,0.605616967945343,0.698383608899988,0.7504306656240088,0.7908776115389069,0.8965227220778265,1.0097205344871172,0.9816565016692222,0.8697782805142105,0.8159569170706479,0.8037545315019083,0.7629493741899845,0.699767927799726,0.593477946840863,0.6454410730298452,0.7411029886869354,0.9708816683482279,0.7681798262811282,0.6953830523707079,0.6800993591733673,0.6606949606118234,0.6565988918861722,0.6081991854577797,0.6135315188241371,0.6786442022665037,0.6710165453993377,0.7837159737419178,0.9710727265067755,1.3417438344704904,1.1022025380008795,0.7430454066453122,0.6676691021169001,0.657513011926719,0.6248219367487716,0.6592084510048132,0.6463003618190095,0.6567768864834008,0.6717776804664432,0.7102667903844997,0.9026888706951975,0.8814565006600894,1.025932686685433,1.281160582480029,1.1874200139250397,0.9407601522441331,0.8345742607032312,0.7088303162195605,0.7288629856490355,0.7069277100837109,0.6538473857998874,0.649148566959164,0.6601050937974855,0.6891500010735271,0.7012031094063497,0.7438648795576042,0.8908576850978305,0.7349360206207856,0.9337592083499994,1.1047479989595044,0.9783931975715011,1.0900169201403138,0.8985333294712422,1.2046161325886828,1.6520161011112695,1.551676910339154,2.030692469596448,1.4238771843810338,1.549141810071637,1.4324810051370587,1.3281505593342795,1.3978067560449585,1.1394500390962197,1.1763456064541318,1.0838276461879426,0.9918811423277673,0.9772451200440077,0.8554279014197134,0.8096994131904941,0.8793739450493862,0.8850851738874908,0.8657995515378033,0.8938945823973302,0.9460891499676428,0.9621842966925439,1.0515184759337368,1.1465769876034486,1.204894048429394,1.2353702730207423,1.4161127496168089,1.4814559076867673,1.3621597529291847,1.4004166688738435,1.2533469871513563,1.1135033955587925,1.1612595839332314,1.140493676903142,1.607851935687099,1.2642549100202454,1.2786828149981349,1.2132663731218158,1.2065419839661138,1.2816253275011738,1.3944851961896625,1.6050370953490374,1.3659849476599417,1.2955437959790264,1.6268215079827713,1.4241131688424793,1.365381851426982,1.7743747370304845,1.8264766724633161,1.4843736084801655,1.7229895489011764,1.2063460401649324,1.1746689211551036,1.1749068683478976,1.0628265427295573,1.0288323823605172,1.0498610352139808,0.982323129206469,0.9577969718820173,0.9500758177826857,0.8682860246279214,0.862689962188198,0.8865272585462868,0.9285849180622776,1.0237137391699909,0.972730213003614,1.0077537455873893,1.060694550035769,1.1530894536899754,1.1520400876487886,1.1436704192744287,1.0839584427775382,0.999014127260376,0.9392367670321118,0.9635634028893452,1.0501343684769473,0.9741199703972286,1.0003116227541207,1.033326220087368,1.0265006834486134,0.9893925648946298,1.121789892782928,1.1465658336447389,1.0192533058083921,1.1454946505722983,1.367684397154482,1.389062697933612,1.2015214492391644,1.0310371843927004,1.4734923363569965,1.4426013896455956,1.4167295685863108,1.2303835482377001,1.0674602491608147,1.1464226956578194,1.2109637423120723,0.9778537320990734,0.9214588998783971,0.8091844333398263,0.9034924953330169,0.8070651902762374,0.8683480091712305,0.750301283926929,0.7966923862883055,0.7946925137092865,0.8394870081355614,0.8182983051494445,0.7977447532495378,0.8680014563475676,0.7683638059644697,0.7926162634880717,0.6225239359233455,1.1771018778854943,1.215481867275397,1.3938854924003596,2.1197796287642916,4.145336933011103],[0.8100529406046388,0.731827170228899,0.8717293400146326,0.6167952611333076,0.7982560376686367,0.8333441686255636,0.8234686560238252,0.8743132004560928,0.7876310683742582,0.7549490139744811,0.7511438271856935,0.8029303287985625,0.7836739401380454,0.7071801307196061,0.7407708337932408,0.7378548903937081,0.7662227110683042,0.7867878218446526,0.9400670112638105,0.9014225342071197,1.0295142085374303,1.1387296271489387,1.3845315777064977,1.4692726466997077,1.3506191672892436,1.0455725500394681,0.8979257135569391,0.818957544528159,0.7997420001471256,0.7767794688501338,0.7725182872247959,0.7718175803007515,0.7675071075513101,0.7856610477076945,0.7881726147238679,0.814550904863934,0.7888079453737131,0.884675932540195,0.8428010127974238,0.964869447675028,1.0476918298493867,0.9645381964740107,1.0314257697468658,1.1722476396123638,1.4968086177692599,1.7339472524602475,2.2188316168167916,1.5293555713562357,1.4395356030776048,2.1276397094774446,1.7647431947663792,1.7201838994693754,1.4588305660159129,1.1721775208269434,1.2923449790618742,1.2465637947287267,1.2410430899785219,1.0504840097148318,1.1103009633406757,1.7288972174895607,1.190367961703721,1.0909924678862797,0.958756608842905,1.0466560221506367,1.1037079806064989,1.0202311841126719,1.0156776952944098,0.8896900476157797,1.0141664197374278,1.0199849729264772,1.091937197580444,1.4005038342416005,1.0401250860415192,1.1493699659804837,0.9165101392345778,1.1843086060566312,0.9447939748315408,0.9171095920258037,0.8865755011257171,0.9461582943853848,0.8738425895389632,0.9336789855576088,1.0606297472062582,1.1550646482984044,1.0175286910573729,0.839516931495493,0.8853174353469037,0.9042869454336548,0.8466990131479377,0.8391998671046411,0.8360125739010136,1.004716357292688,0.892942923205993,0.7375209038551301,0.7320743573190303,0.7948412087517162,0.8934655259333862,0.7946336479036297,0.7733454342384265,0.8688127324966919,0.8263917779594314,0.8553534331181226,0.8537258360403361,0.9287599175305543,0.9835602635633233,0.9558766420108238,1.0057477273346838,1.076667156294573,0.9686741410833162,0.9214537743554263,0.8825346710101324,0.8667960875625432,0.8184198890619141,0.7528328198516703,0.7818520941842058,0.7980796235830764,0.8626456435746969,0.8776415009529163,1.0179974880211737,0.8375637671361682,0.867371273484281,0.7942004973214538,0.8046704259195583,0.7177552682268857,0.7113903819369908,0.7298027796479306,0.7492981845352914,0.8569089083825453,0.908724344318727,0.9553480774637021,1.0310007580867553,1.1423242376838498,1.093150412496341,1.0185180762258175,0.9475046167021275,0.9182883259306096,0.8997879087826794,0.8317367959504693,0.738403933886394,0.7967452990777348,0.9091174873916943,1.0823268615860828,0.8933938241437162,0.8552542272979621,0.8284145566188365,0.8123528279879584,0.8100874438186553,0.7566963457744474,0.7958468502509027,0.8312757677488847,0.8425218143603647,0.8977155159620024,1.0593865564890472,1.3598423764990744,1.1361797586584192,0.8627532815442789,0.8197208160639017,0.8347450541215871,0.8098162223429926,0.8355128731504134,0.8314600836439617,0.8248995653481206,0.8351153916106772,0.877916619148714,0.9929308204732028,0.9730301858329304,1.1075121156349679,1.275747080561995,1.1799360871645204,1.0069593695644892,0.9508444907436833,0.868874685223839,0.8958076155979251,0.8821818377030809,0.8398862468458673,0.8256893478265289,0.8271554998352155,0.8875230413800512,0.9048521196067296,0.9126673212098187,1.0005860379070357,0.9101202007014266,1.0753812836176229,1.1993759331283012,1.0898665436560229,1.178462278481761,1.033586610353605,1.305086148448996,1.7189887842993976,1.5327061942532219,1.9673172337862883,1.4346400990871688,1.5560921338704878,1.466275930120644,1.3960485056939127,1.4925502286547832,1.2406620720803527,1.2960205186407932,1.184970861200736,1.1047516840386133,1.1008881830199824,1.0012299297481089,0.9587209558495158,0.9983025228755549,1.0026646182097327,0.9789899506185782,1.013796861924906,1.0452418639414331,1.0477366328713786,1.1265931416562716,1.221105919882599,1.248177940787846,1.2591330555964746,1.4628956237710788,1.5127000222837952,1.4362167413185198,1.4351593747500668,1.3218270978243707,1.162554590344912,1.212790714540307,1.1926355424074604,1.624395516319731,1.2636332940204247,1.2941405465588331,1.3107297776125304,1.3049052758671853,1.3820806076799657,1.5207584967961247,1.657723912533908,1.4818731088928643,1.395541017462599,1.712888270284859,1.4851396795868501,1.4498088653529222,1.8654368174194227,1.8575326837887023,1.5018330241349425,1.7412139922112397,1.2799292054497766,1.3021807904600071,1.2989613450514486,1.1913144542167682,1.1397948071495345,1.1873505876235257,1.1227271933757046,1.0820414138196937,1.054618207914868,1.0006528657204108,1.0021553898375983,0.9930120732136035,1.00532787479377,1.0566770427081649,1.0318063563780695,1.07673044574469,1.0901321653379095,1.1556343631011912,1.1721368742277378,1.1703717160075484,1.1342762959792543,1.0695415918521802,1.0243856671193736,1.06108877023432,1.106433447445456,1.0484865617645416,1.1095096451060875,1.1053167209987755,1.0923315280026753,1.082717128127415,1.201997894034476,1.1615019364627832,1.0867158540542587,1.1777520812984976,1.373150647347281,1.384036117330044,1.2283217499591983,1.0974012501736785,1.528660901075688,1.573527981785809,1.55699330226099,1.3895624021362452,1.1885092066919642,1.2529897003581703,1.3716916642328203,1.149612767006738,1.0817157620092896,0.9040878979841364,0.9835981615972819,0.9264593344208898,0.9885990832737348,0.8987397342309921,0.921214147854251,0.9368145120661296,0.9995146445029253,0.8903861854074955,0.8904384311063305,0.9918148655170493,0.9110298347627811,0.8948288334308591,0.7757110565317983,1.3005924933780268,1.2478588575182092,1.5479363793909418,2.391222667690345,4.148625595193887],[0.7866402662281329,0.7187013204129501,0.8151033049278763,0.6373443078500284,0.766952375957572,0.8576790422467019,0.8477636878307959,0.8868884321225631,0.8324517150407219,0.7959850611399967,0.801857633834804,0.8401200587051445,0.8002599443472236,0.7485694855882682,0.7752338187754201,0.7508776799815707,0.7720895070971437,0.7877730493488319,0.9468494193763024,0.8656118722490985,0.9695686995043221,1.0705941629710414,1.3292410049721135,1.366316935588999,1.2848953103840937,0.9954338594486885,0.8587552954585994,0.8108492834910082,0.8011338614440261,0.761188607226642,0.7886916838123141,0.7584267685938436,0.7720371322895271,0.7738780046931751,0.757585089729321,0.7828450546835973,0.7646571250642549,0.8433363787679331,0.7878278103285797,0.8555710574027816,0.9629618340888463,0.9022638885324753,0.9396244964332378,1.0779032126779102,1.412936581838002,1.698875708038473,2.1565968542651217,1.4426442145382363,1.3814359572490773,2.1392221601543024,1.6387976840269336,1.6141930323545879,1.3086735327324082,1.036326118711012,1.1300222708640015,1.1093314068730042,1.127909341184647,0.9302426323241507,0.9782643100753735,1.6032892032838102,1.106305004648044,0.9970804593387809,0.8838524610022485,0.9835746568672882,1.0273165228041206,0.9445183274356035,0.9617353458363018,0.8693432185991056,0.9893327053184467,1.01669573568691,1.0839797375252558,1.3550651128300835,1.0339999771116113,1.109028598955094,0.9002255997350298,1.1464863958389229,0.9037798728171198,0.8799975196664565,0.8299468569015217,0.8694809096136763,0.8019134531870317,0.830468907350392,0.9597679199886456,1.0011848517101847,0.9107754952973406,0.7590649809981732,0.8135290571272599,0.8325264889098519,0.8014263854002236,0.8209689858064101,0.8084304512410627,0.9916652045778322,0.9080123033438181,0.7521328054089846,0.7530916782833688,0.8353361485435327,0.9308071454377864,0.8226699826739586,0.7966976473159247,0.8813781421808226,0.8128951394413211,0.821469059993851,0.7932973382328783,0.8574498627841889,0.9451706379653501,0.887440881222532,0.9101721206358515,0.9556618551467639,0.8661381698603512,0.8320779790444015,0.8367548117051745,0.8270800783218759,0.8087819582928608,0.7355784479157875,0.7813109911469838,0.7955784550344884,0.8748121245744099,0.8792883887480514,1.009795683985269,0.8432630901689502,0.877889970711915,0.8121525281954187,0.8347112010206698,0.7508370826986603,0.7444156618295376,0.7178692691625991,0.7072751211325494,0.7947013157993945,0.8222981982180518,0.8500820428449066,0.9246777206781164,1.0215509028947682,0.9743393496312948,0.8984393370493263,0.8459732356299382,0.8513345034574639,0.812456397830144,0.7722237223361955,0.72063515722248,0.7797082641195408,0.8865041531964708,1.0506562735736813,0.8700224248935768,0.8279129584611787,0.7896144954966254,0.7876459505976953,0.79607349970316,0.7419907704893057,0.7644969144376098,0.8263013865686384,0.8221365132989035,0.8996687929449376,1.024521666515634,1.371807457361213,1.1293628176537616,0.8565411420165759,0.8128451225869552,0.807314895168917,0.7692531897561342,0.7766987958148643,0.7619689491454463,0.7687315131982382,0.7789303481939118,0.7984110809732218,0.9344445237557493,0.9031526399680163,0.9971675921600403,1.1841548443772558,1.1072198013481813,0.9378223219530174,0.8563609520445726,0.7857494129526578,0.7995614251522903,0.7854490559818271,0.7556063651914234,0.7549148937587872,0.7701921173121944,0.8153830116911155,0.8048339476223355,0.8248453736499468,0.942271052701793,0.8133426554811909,0.9469676429673822,1.07780402545573,0.9658961163573554,1.0451598778885596,0.9096048476725033,1.1639676894024122,1.7839838163061816,1.3903838160915982,1.8049498735107787,1.3077550920862067,1.4308842281219825,1.3597884749331406,1.2855770154811992,1.3639085273838971,1.130800284762924,1.176776892599454,1.0846336327615747,1.000768940681051,0.9840521342164823,0.8795986006000276,0.8452667797217515,0.8787655264891332,0.8730483004659781,0.8792785538285042,0.9212390644034931,0.9327093501502735,0.9423936276051116,1.059261673101208,1.1378635458464135,1.1467971818570397,1.1842198056801885,1.3889871853055733,1.4082399256161633,1.3301048463583531,1.2975574611084262,1.172499448734695,1.026929195894662,1.060477833186536,1.0211371507563318,1.439730105454775,1.1185352348421216,1.2403397180241298,1.1890629539268225,1.1665846039522465,1.253321694552977,1.3611310189665358,1.5254353715818934,1.3526372652058898,1.2754392905403262,1.5801114953560964,1.3883893050224865,1.3483568002031652,1.7474879636882235,1.7831773443585406,1.4473069806937098,1.7070801556730963,1.1928101867111967,1.1873379584024655,1.1814115552502233,1.067573331652366,1.0312241537086477,1.0730552580478454,1.0241148313505628,0.9826355330239642,0.9519318277410602,0.8988103519383331,0.9142451661189163,0.8875076275523067,0.9025455206220335,0.9816925159015163,0.9434586048684741,0.965777364475636,0.986944647272127,1.0842469229484457,1.0635914654216554,1.040093022926517,1.006493466503036,0.9395925856982001,0.9040274042853155,0.9187117640535262,0.9680366049593765,0.923203221857664,0.9622326948114712,0.9622550124384059,0.9550943354042013,0.9440739772392447,1.0526102437650036,1.037710921319354,0.9423483151068772,1.0716597113939086,1.2479278910523783,1.343028781217338,1.1700598683834507,0.9458590959003276,1.4881779673747533,1.4743899264160334,1.3985365678152017,1.3083855833108333,1.0848868075642815,1.1990851549883526,1.3529089137508146,1.080583667780927,0.9586731003925988,0.7593462985544216,0.8596561348216823,0.8312275397839687,0.8898939126036763,0.8256392375612108,0.866614013890288,0.8571710325832621,0.9012426886703796,0.844256641678476,0.8570966681567203,0.9365721887426658,0.8623456118255185,0.8664888448476392,0.7662047601044155,1.282810645583925,1.187983695182549,1.516295026704024,2.3631659116040824,4.0059779392893065],[0.7852364959142781,0.7119975860219159,0.890923095043949,0.6500686796703318,0.7860239661323929,0.8565770096183593,0.8524975324036036,0.897993725125416,0.8081924166910993,0.7613761060146175,0.767822043907094,0.8212566761959535,0.765832730852149,0.7063391561830252,0.7251923155273686,0.708500692496354,0.7327857619168741,0.7456388729885455,0.8764635593565986,0.8211437147950904,0.9057310703179251,0.9877131085346219,1.2665885372154098,1.3006165868831587,1.246208456039673,0.9488420101779808,0.8101642857851297,0.7660218576724316,0.7544360565898343,0.7378258850773449,0.7476355741694765,0.7428199093454654,0.7526561749380214,0.7624038090938516,0.745207577760859,0.7661985979879202,0.7663889630232051,0.8015038875366574,0.7595131185914644,0.8260791925520113,0.9046193945050779,0.8487227395992458,0.8762644821602751,1.020548459941125,1.3240303020422088,1.6170774863508124,2.1113385367556705,1.3745609172361843,1.3849996169243026,2.1660510872984937,1.5867886113835985,1.6002786501386013,1.2468499089197662,0.9901672393756696,1.0668483318825404,1.0449558335994653,1.0787049860398996,0.8858173519454599,0.9437604644192693,1.5870571306462424,1.0562316615231013,0.9516287676123333,0.844463288561576,0.9048827989475443,0.9617145589663995,0.9072737314295165,0.9141059372142994,0.8260478750399011,0.9513117398793214,0.9680868884808389,1.051268389182437,1.3165365649758372,1.0130657396288287,1.0863689455365397,0.8419981604721293,1.1433335176195938,0.860889700432012,0.8436977302117157,0.7997596427499143,0.839663681828191,0.7792114902119166,0.8108459532544868,0.9806844948114911,0.9805147736575459,0.8937494215244942,0.7531246331507043,0.7847910880888397,0.8242148458188546,0.7796179663307836,0.8215867311863098,0.7724484325048064,0.9514938544841324,0.8692463453238296,0.7186257108197145,0.725605852264921,0.8054985652320912,0.8846603518833563,0.7980105842150012,0.7781125941251162,0.8893756269156228,0.8019310361892282,0.8769773555588432,0.8058659935679823,0.8971887682675325,0.9872483286146495,0.9089837393301823,0.9323037250825463,0.9614319480241438,0.9034583161796134,0.8679796503432241,0.8621936391637811,0.8449854754809454,0.8193627309959381,0.7331401287019861,0.7611004159768554,0.7609543025206794,0.8373650745708374,0.8141352508320595,0.918527376437573,0.7856741785606842,0.8147529083833128,0.7651819302810847,0.7787613103232444,0.7137575470495043,0.728648772332983,0.7088594398064295,0.6978381920569627,0.789563615525055,0.8389586388117058,0.8554337476473822,0.9495404401794735,1.0159669410036511,0.9499610072172977,0.8974200022260389,0.8439089154147217,0.842479797178176,0.8202637634176488,0.7721414312885195,0.6953693009988527,0.7347592797955342,0.7897324830698594,0.9974926945242013,0.7972159709032425,0.7698551986731481,0.7508316287724265,0.7629776225152004,0.7737816120181352,0.7452914100711493,0.7653907980745697,0.8278380146207389,0.8426909686177774,0.9208402379497359,1.0831893576384097,1.413139670591711,1.1498200340613038,0.8805498862990578,0.8123177176486037,0.8340559962241596,0.7699602028887061,0.7896405207676364,0.7549379487023301,0.7534077362334763,0.7463780571859198,0.7678273253913411,0.9021307197523435,0.8412584429204746,0.9543610173340642,1.1381627566077563,1.072396618193793,0.9113779853258016,0.8395729624075137,0.763600408384398,0.7814201741032213,0.7740994960818778,0.7481752244161547,0.7645314599866094,0.7690258493881157,0.7988625981457439,0.7834106503637854,0.8180211594241862,0.9648327479649114,0.8055052271349796,0.9236762665694709,1.044912698753579,0.9232847969470359,0.9881585119229472,0.8852642387649944,1.1170929570260728,1.8720203603237822,1.349930605299487,1.7122410875867282,1.230398688481285,1.344840645107795,1.2903695554760426,1.219165527470775,1.317215984497939,1.12183885595944,1.1563139597324728,1.0817677466993525,1.0268397725018297,1.004109212222517,0.9190918845529741,0.8885333387443538,0.924661805420499,0.9284091356737526,0.9305842483946197,0.9494692753855952,0.9832220063185658,1.0103001251115575,1.1044658487105288,1.1841541061367202,1.2270645411657726,1.2711921603554521,1.4499032669855842,1.488023238528572,1.3704025222093563,1.3966798282279258,1.2153164112792507,1.0986995864105598,1.1422716714612275,1.0938497760720547,1.5103122818928707,1.2033258042725858,1.2412792560542523,1.173877797341341,1.1449216754870155,1.243905095355827,1.328749830128297,1.5327258798046732,1.3036816740166912,1.2598974728880634,1.5931985691695145,1.4009160068533872,1.3185238145913307,1.6339661871741957,1.7654510520676316,1.4550350455477536,1.6431745348266555,1.194458321930368,1.1514101933436518,1.1565039416817733,1.0433993040001144,1.0268606121757802,1.0920508134496731,1.0242964532769367,0.99723781347097,0.9994448433287022,0.9396114811149296,0.9393169598198057,0.9581708361043517,1.0041511220038601,1.0978710684735355,1.0408207518161712,1.0653960795480057,1.1142569555179413,1.1829051168944695,1.1776237437287882,1.1585315239148373,1.0937933739645336,1.010260837166426,0.9689827953667894,0.9866248904713613,1.0453963854769,0.9951629286226642,0.9997873901776302,1.019446957336027,1.013947934941543,0.9974319126922093,1.087685327982872,1.1291059989161103,0.9996189479288611,1.132167570014842,1.3204503006885273,1.3543337196642322,1.1707196187076472,1.0003004776141082,1.4051104931788234,1.4067557487679778,1.3527058956166484,1.243113095077503,1.0872886967556206,1.2004376322983363,1.2750051879008024,1.0186135299094445,0.9344819101139635,0.8868107064571411,0.9423393198990277,0.8814154686406379,0.942794779893096,0.8563610991641593,0.8992844919739114,0.8899885351832814,0.9527130621827647,0.9126985005833195,0.8648820552735474,0.9749411096074784,0.9038101707144137,0.8416775823440256,0.7878107733612614,1.2776584282991463,1.3463682786661328,1.4759265004528395,2.354077708010229,4.310238269872108],[0.969455984990672,0.864712434382442,0.9752841851963274,0.7136427358043805,0.8590546266090489,0.8994545806874559,0.8631849030378165,0.9166556616136853,0.8163099276915304,0.7705045255549621,0.7732675415458548,0.8502124566592799,0.7937900513877767,0.7213936479346197,0.7516194502482503,0.7472582759362416,0.7777904554481182,0.7859943408702169,0.9593691381398378,0.9023422470304221,1.0013422523499729,1.1087521426972682,1.3420066294801607,1.4054973913620252,1.3334263120979757,1.0356747704587324,0.898612213202648,0.8228188859817223,0.8071293881746586,0.7829900222392618,0.7821128576739959,0.7872426109309384,0.7909054804282666,0.7944877280348902,0.7874876656598286,0.8154435480644597,0.8045580299746495,0.889432088831106,0.8541369971080491,0.9321150326401944,1.0185788581572712,0.9597894494684225,1.0132721702953182,1.1723671841295666,1.4973798943891252,1.739476421176398,2.1800955977288283,1.483157748750502,1.421247804966623,2.1431663456124204,1.7148993185025039,1.6651339874987212,1.388214137814986,1.111762375841037,1.2271828340397102,1.1970111420253011,1.1932496608642726,0.990334035565011,1.0549432027814607,1.6442707730290882,1.1497964199178647,1.0510873006161623,0.9215874373889766,1.0193855355203922,1.0700698302390932,0.9885668843313371,0.9900126330395556,0.8862372416692641,0.99254012329507,1.003765151287237,1.0533299880352518,1.3364508041837218,1.0263112163165997,1.130855660958552,0.9038621919878275,1.1524274936800631,0.9336405443600023,0.9110938764399964,0.8798756910842294,0.9171212003397754,0.8654351145783274,0.8972174764722316,1.0421109937138302,1.0629466902951232,0.9833975533007762,0.8358306611039863,0.8788230190675207,0.8670541799272686,0.848409380433476,0.8621407845784204,0.8282927748971,0.9841144529872358,0.8898685847359817,0.7373069796807221,0.7419281015462198,0.8103536192353367,0.8914705482917162,0.8306263051197419,0.8240943734764582,0.9519130140595085,0.8640415936432096,0.9226004915408956,0.8738628179903437,0.9559869417443598,1.0690121151666843,0.9971691713024985,1.0524989908752518,1.0847695463954174,1.0249254374414092,0.9837624224452788,0.9601160596124194,0.9171005950016167,0.8544009850691715,0.7632845973373896,0.7776828561549635,0.7875525153606123,0.8613550473841605,0.8755201205841466,1.0062564336766644,0.8350433020830093,0.8604399184431377,0.7819911358490068,0.7957885556887306,0.7192996198599222,0.7309483794794597,0.7382930846510926,0.7889808597548255,0.857556425673594,0.9301145112856066,0.9568908627195423,1.0412090338662583,1.1187716526070144,1.061994632600473,0.9964189677282451,0.9485758949932172,0.9167085894973589,0.8950048217859548,0.8222337905570211,0.7514613368758968,0.8215323837816054,0.9018164651777406,1.0922611715117263,0.8914905022767056,0.8586042419932692,0.8437065285444785,0.8240579789400663,0.8271800511886968,0.7738456539508644,0.8245362401296444,0.8573540470981484,0.9036322742780531,0.9462283262199754,1.121774262898231,1.4633443298877367,1.190190215748617,0.9242960529138462,0.8518151067046866,0.8840202622747164,0.8328409874004181,0.8753144298565612,0.8402187588705119,0.8287010993932485,0.8371652173658019,0.8709102046815191,1.0073481077141149,0.9847891681590808,1.0655801536386136,1.222290150811562,1.122663795621775,0.9944763069508898,0.9349365688308644,0.8513491891190623,0.8790891544540189,0.8661438397431334,0.8383474820267645,0.8604936709770431,0.8465573060828584,0.9133240441004215,0.8851612982758941,0.9088939231329378,1.0340941641046453,0.9168251127298324,1.041212179111812,1.160621345348656,1.0478948157487327,1.0943569394454116,0.9813674266165234,1.2527323320859935,1.8067398715684555,1.4054096068199011,1.79398751296166,1.3090602560505016,1.409090315864635,1.3454629311797517,1.3196748492715935,1.4632912915925929,1.2119290867510433,1.2601509430733602,1.2207511951917742,1.155393259079877,1.1999237730232626,1.1130673516314966,1.0532727160705853,1.1290010514732467,1.159946967369675,1.1296388423791106,1.1545056673219565,1.2295400850956006,1.2454804356671778,1.2818609543648307,1.3843974143557494,1.445612618205046,1.4350039979243403,1.6029180956376001,1.679554020440846,1.5946664664668702,1.6446380053332734,1.532664859948284,1.3911001523143858,1.4549771003369938,1.4359974288981094,1.8894891753822591,1.4518425254688998,1.47913196893451,1.473564929586231,1.4860036834981156,1.4876755588307,1.642962726215781,1.8372830442342605,1.5545154939261796,1.4959153745760272,1.8404426233800657,1.6176034817604974,1.5279282157707463,1.8381934457522255,1.9118396493157694,1.6277532935466852,1.7516045284920174,1.3619433314957907,1.3253029269118102,1.360712378880922,1.2678990598921211,1.2230302695327782,1.2966730131034834,1.214416260517346,1.1986558118114754,1.219629044913939,1.1324720100996748,1.1085245549904728,1.1594484499162723,1.2008384152635108,1.2456213482697773,1.2181053329737666,1.300517569614151,1.327796564810276,1.3282500101480694,1.3934082234352063,1.403283591656403,1.3665444864988894,1.3136911811993592,1.2270731617972135,1.3040016770715617,1.359526203399456,1.2792992458278978,1.2953414200066904,1.3443051008535936,1.3300575667872212,1.2674146577996839,1.3599285516390975,1.4350388602890187,1.30372584135351,1.3590123450726297,1.5802111433524397,1.540267543565921,1.393142952319112,1.2640688552860577,1.6108878560143716,1.6317252054961384,1.7017265340889536,1.5120388414105175,1.3447163794580146,1.3813577317729564,1.468590527718841,1.2496867631832511,1.1699281271739754,1.0042142179605904,1.109163093694097,1.0086230410452879,1.066083838715713,0.9447770742087153,1.0081708223054857,1.0096480972844628,1.0985804380687985,0.9922396106665907,0.9748129530241708,1.1173922425906666,1.05854454526469,0.9204316482423549,0.9015659384253437,1.4148082286418193,1.503471946148241,1.8045886693236317,2.803501593267547,4.770703865552346],[1.090137484880879,1.1697173913152275,1.4928145237672126,1.2044016898895233,1.441755322640087,1.5423602935438299,1.5378517045469957,1.6004472324889283,1.4744640100439814,1.4281587915454976,1.4278636147406059,1.4665679816085213,1.4356951385437804,1.3326260700653165,1.3654976377738306,1.3662590867293958,1.3077416573128628,1.3090890455813533,1.378810892989346,1.3413383380570347,1.3533653269066959,1.3785318274855247,1.6616755915368384,1.5875002014812638,1.6648654453423273,1.346857568063877,1.3145940059379957,1.33992683975356,1.3504010355390896,1.369743511506875,1.363618432672388,1.3795508279820232,1.379659045533286,1.3552876719953648,1.3560672213674336,1.3378270594251207,1.3796145820831007,1.421677957756154,1.348058037737906,1.3483334983302506,1.3173922034979961,1.3474085961407094,1.324913471122714,1.4215648837180375,1.6590695094417398,1.9333047137243593,2.3133962378259927,1.698933845734678,1.6511987476368273,2.348648297940042,1.9370722822081194,1.8583548895147621,1.597620139785326,1.3628513272485403,1.534829401284588,1.424375780122029,1.4482357507424888,1.3061568438557811,1.3469811658162008,1.737126891458927,1.3813434596145204,1.352433037668159,1.3125950279530625,1.330074720428541,1.3608083572004919,1.3416604963964656,1.3531025534856895,1.3372001839000764,1.3781635714002984,1.4216052475962815,1.4482428094839386,1.604829944760967,1.423541216799906,1.462847392519001,1.3405481332610067,1.5184940436388932,1.364120474982473,1.3802124460559606,1.3442909595072996,1.3431632084757044,1.3465372016477886,1.3388252999171666,1.4871594176907545,1.3759241934010593,1.3665887276156925,1.3505503851783582,1.3531398968202564,1.3283713562795454,1.323310217900325,1.3784954997771157,1.3314364371934058,1.4400119611702824,1.4401899653680936,1.3457905935845396,1.3550334553803216,1.407435176771718,1.4666114844431044,1.4545730361910894,1.4515413248119124,1.5218635027468006,1.4782630812871882,1.5302791293704718,1.4597187475419386,1.5271933708546808,1.6430347804010463,1.491625936067576,1.4903524853878056,1.5046324192151879,1.4945836347571648,1.4886381504911317,1.5098848258991149,1.5128473133730247,1.5255925819790352,1.3930495545203312,1.3972209487955138,1.3583199332168459,1.398946728265152,1.3522095699528218,1.4122720769521395,1.312710102037169,1.3071009420362407,1.283575414535184,1.2701340887262853,1.300764183559284,1.3637983415295487,1.3614547712025327,1.226897365024085,1.4459824795793352,1.3961463618820662,1.4146273810232455,1.4077259215894624,1.3914000410662526,1.3747616373065994,1.3704238593622282,1.3780787100143823,1.334499749331491,1.3530855959806172,1.3185670958561255,1.2531384469541422,1.3146947205680066,1.3421236459869976,1.4711742042211948,1.34307216821753,1.3400476977321452,1.3236368262136962,1.3722386348237465,1.3924986888401774,1.4016725400142844,1.4576305337527438,1.522105760387297,1.5249106850353598,1.6029307195359264,1.728766781575296,1.9404590187532724,1.7096778756826128,1.55585565827199,1.50575162545469,1.5180881865853058,1.4492242235991657,1.455165825250615,1.4050081471868205,1.3821189738805777,1.348924154745426,1.3536356700065235,1.374409106272554,1.328937408460531,1.3602056159150313,1.3510392037750394,1.3165060458634275,1.3076170704587806,1.3459800732982212,1.3485841545373296,1.3484119277120852,1.3643319438889911,1.3754280765211406,1.4065998199214926,1.4098601712644683,1.4572219502013555,1.383671766417031,1.377161758208344,1.427861512039912,1.3928604262764424,1.3970417617603232,1.416814745984002,1.3708752258855457,1.3404275102571632,1.347827139733147,1.5511722103545527,2.1156850293387133,1.4580407200754593,1.694131564087961,1.4298217218092473,1.4813355554396654,1.476616506948301,1.484056514142138,1.64401662138495,1.4448574060037076,1.4058973256145038,1.423915842606052,1.4318344149743645,1.470489168652084,1.4944022940908008,1.496212952713546,1.5349002022592668,1.5601958448862152,1.6263246451372135,1.6754348627006466,1.6826270344434833,1.7081831525951832,1.810420282503217,1.8906153302557125,1.903631505926219,1.9257465977476602,2.0982165221136877,2.113106444219015,2.0291579229077135,1.9713301546238136,1.8750923957489882,1.7609177360883148,1.7785480425352556,1.6655837298748883,1.8424811684503013,1.5756394965645193,1.5180339420430429,1.6761740823554399,1.6557167043573549,1.6375643580480952,1.7458195289254685,1.8210202781021059,1.728475090630143,1.5776511350686548,1.7765202101483424,1.6297076669369825,1.615782010420781,1.9153624692252176,1.9055351575564936,1.6414517475160626,1.8247222276851491,1.4969531149086082,1.4990289862211943,1.5033354435665236,1.4764721311094855,1.4251063993379602,1.5635550216702847,1.5217321789968747,1.504940435608045,1.5743445840650678,1.5198015618128655,1.482421018900253,1.5888934662041883,1.6411374762744313,1.6828171432293544,1.6797568968759784,1.7370439403609945,1.7622684887022015,1.6066330275332716,1.822267994402195,1.8040255366271467,1.7697143875133883,1.655573107497077,1.5857539909269878,1.5914742134304625,1.6545285685165823,1.6359222931700896,1.5533480643439699,1.5582752003487204,1.6168978374784375,1.5473548047256358,1.4896791305915684,1.558786229075337,1.578614035387672,1.5065655442115247,1.5998044818565542,1.6181818615997903,1.6069620700998353,1.6270072962720832,1.7658310100146986,2.0051452368426816,2.109267467415473,2.048375527580513,1.8663458343949733,1.914480111538596,2.0194460105023953,1.845599928549204,1.7486887497987036,1.4850167007628876,1.5074252683764928,1.461447845912849,1.4487318317793836,1.4765854819118733,1.515971365859965,1.5283071778486037,1.6927841416573821,1.4868689802995134,1.4244606040264098,1.6956262145096994,1.6226284429156792,1.2951401294051237,1.4719814179026578,1.7879194521162203,1.960543065547431,1.9214232794617416,3.115460364466771,4.486041601332077],[1.1232785076232792,1.1775462353949269,1.375655736815608,1.0614806929946934,1.1252410728453763,1.2935505195100925,1.188875301503925,1.2428056692716059,1.163389505629243,1.04894561367156,1.0594000374031771,1.1232078406710317,1.0096351280333373,0.9360608598139901,0.9516006922189885,0.940384179217221,0.9023352169105421,0.901336643391618,1.0260461851242686,0.9681462488628784,1.0671413333831168,1.2462559525710013,1.4120430399447415,1.4981488436351569,1.3129354168422145,1.0681769597767397,0.9726972541399536,0.9319696633929652,0.937257366073759,0.9373993528908271,0.9523479482368691,0.9653305251935324,0.9774905549747793,0.9427063551634867,0.9315327844696093,0.9444206597465601,0.9511954030548921,1.003324119201532,0.9763144093144939,1.06679491319259,1.1484943079529644,1.0481490447950925,1.1501574431174226,1.2899694715301244,1.626312392900789,1.9047326676259573,2.2375910608356393,1.5831592933177754,1.5153311863867416,2.131340849416116,1.7749724566866203,1.7335381157297303,1.4750654612828495,1.2310315964793361,1.2781026306622771,1.3003044300621298,1.331840535614097,1.1401005646539757,1.1861168386450966,1.6747593917107892,1.2970672374455197,1.1016226521656811,0.9829133275719955,1.116759064092147,1.1414462017976494,1.0408966830489117,1.0442378915549269,0.9512308789577852,1.0401189480492494,1.062687313233131,1.0879035238797978,1.3304534244504453,1.0718916530777443,1.141622426720245,0.9796571161880177,1.192187297967114,0.9922177537420555,0.9911887399940248,0.9657866614811584,1.0284459544858604,1.0002742217072458,1.030783307836691,1.1564943688593028,1.2010885539527334,1.1220865545192946,0.984530872841983,1.0034096415014941,1.0019335944711913,0.9516062142154575,0.9768096001075973,0.9314582850886798,1.0961333118738947,1.0326272775103007,0.9251360560546722,0.9337668319097556,1.0106980074352265,1.0958047201647738,1.0414489779869613,1.0571596913857253,1.1841613211600897,1.055131375629269,1.0981553147197194,1.0262236251573982,1.0683946004487883,1.1450502143498327,1.0867329699826063,1.1110560316162577,1.1313294896323287,1.0919783294251106,1.0870635541176692,1.1096030108118888,1.0693929468975412,1.082785502232235,0.9365219992807308,0.9454925385676853,0.9256106270038406,0.9892429162992346,0.9476749620657574,1.0308350957992127,0.9145322697509359,0.933358065441335,0.9060359590544738,0.9094348233261492,0.883143376446839,0.9605481268781887,0.9069486970531144,0.9127215846441593,1.0158302091124538,1.0308040925877273,1.0465857114330568,1.122081416207837,1.2009066533076382,1.194301299090048,1.1141062275451101,1.0715321593426697,1.05746258673435,1.003250111970547,0.9260292886498386,0.8776715688191029,0.949893720496766,0.9849815446371365,1.1797023498365928,0.9873169324571007,0.9629352778367171,0.9688445576864358,0.9325412179552041,0.9414608259919914,0.9322815698445478,0.9896898366214092,1.0803877957349144,1.1185609414898763,1.2367098713304427,1.3801193928911786,1.7079133781213713,1.4198159028600135,1.1784931681702786,1.09380995467322,1.0830819564074319,1.013085281914506,1.0057290993698162,0.9639635217265744,0.9576561818688737,0.9595683966877778,1.0027790354209336,1.1972788913213954,1.1460973545285569,1.2704220272758535,1.4678647927853041,1.3556837037337974,1.192231775595407,1.1031118130958366,0.9873322712331447,1.0265418951314118,1.0015020860174086,0.9743049487156751,0.9858157037968409,0.9797512782640381,1.0528415314435593,1.0198154095367171,1.0696063589143234,1.1764150089958147,1.0412327074844059,1.183595487511784,1.3455356624752088,1.2418190393898905,1.3119385664446348,1.1221732673336546,1.3978994529437996,1.784853858879604,1.6671817619693168,2.0823520125189052,1.5793297714781058,1.6898747389248683,1.564074711671663,1.4906396867527272,1.5432011820720175,1.3039350417596547,1.3130440609686973,1.2102170199928204,1.1531567017314868,1.161333053480422,1.1368951758267707,1.126357803824603,1.1748436629641101,1.2201412442132298,1.3136855026635252,1.393698107856363,1.436859365412259,1.4832397076493453,1.6601764277611233,1.8114979321592692,1.8503329591844593,1.8752232219850362,2.130070425956323,2.207423938182099,2.0715377939268005,1.9990255723911865,1.8635284643316874,1.633895231240478,1.6780810260396253,1.4722455275193425,1.6861531624184183,1.3630100930448632,1.307329479590377,1.4042939796920462,1.3505771457617282,1.375049720755488,1.487490680146427,1.631534186113911,1.458314689119185,1.3739592340674252,1.683293620772199,1.48006724747445,1.4438665983409444,1.8246521713216903,1.873554061896249,1.536395951776558,1.7903140436789085,1.3004710511472146,1.310368311604849,1.2979628904714995,1.1909966400443992,1.1459228356914868,1.2558768031900174,1.1904901214690522,1.1710489227048362,1.243359522701295,1.184259334991364,1.1619106613195114,1.2645677702600373,1.3600197718275657,1.443687764064359,1.4595352341406598,1.5202009241946468,1.5931834719414186,1.491064834590937,1.7140252525139508,1.6874149690746958,1.613183177760287,1.414608356913682,1.2816381879116945,1.2879409221638785,1.4206665641390341,1.382405255250239,1.241418425308791,1.2868780472088375,1.3716840089217965,1.2208862485639957,1.2033435947372195,1.3357104854462654,1.2887438663529316,1.2194330680067371,1.376578422354841,1.4932866056204839,1.3528306827731154,1.3733748201385176,1.6852691507755473,2.048386097775203,2.192567397021238,2.1173728916907115,1.7622905620743239,1.8490644041376474,2.042415894820486,1.6903547289891439,1.5052898689317598,1.089355020300889,1.1383948163809332,1.1053289233064778,1.1042001076676329,1.0821953845998231,1.2018463672714974,1.1762254876574234,1.3490225059251497,1.1918308870204166,1.1407963733385051,1.4587841881546926,1.404857752292809,1.087705461875688,1.3283034410434558,1.6881637072366429,1.9395376915313947,1.8448047604199667,3.019885732432764,4.32918417021226],[0.9228175330179179,0.900034651503028,0.9895490441184002,0.7806130937858532,0.8643884061023468,0.979873917897958,0.9088074442132381,0.9626648630214049,0.8931284296163381,0.8386618511777517,0.8345164133912072,0.9198272635983845,0.8606312515625764,0.7658428914778961,0.7973205400815345,0.8227444584709451,0.8107092951348366,0.832853576025154,0.9742212902920303,0.9485212409284994,1.04283604634529,1.2252046905658662,1.3892617313392337,1.4561638301390631,1.3218701958915384,1.051275992848285,0.9622369748852813,0.8988374729852957,0.88481250133239,0.8796857833365237,0.8657506921772692,0.8904415490207747,0.8943368811699091,0.8934616043211292,0.8956637525533958,0.9174345575471832,0.9214114273902957,1.0020381187863296,0.9904871212894173,1.0959681606066305,1.148229937235506,1.057898638499743,1.156680106563141,1.2877750744754333,1.579696790082997,1.8764589268123433,2.19917154111168,1.539464103725429,1.510098577479573,2.1545882671804293,1.753091475787717,1.771833257370505,1.5110586892832234,1.237710739941662,1.2707666334331897,1.3225893080624698,1.347274337476726,1.1657217126543977,1.210938360138808,1.6977780232994681,1.3008899895550776,1.0979424687895183,0.9643563619121193,1.1047080776195324,1.1229171380466463,1.034722557018887,1.011560455460767,0.9070136635953794,0.9791669984691266,0.9809273028686646,0.9861024477885882,1.2316315693086919,0.9890559096795274,1.0741439895474172,0.9054621870455256,1.1309776717613098,0.9718055193964967,0.9698867434120957,0.9652563868247787,1.0415106240662035,1.0271237745512343,1.0686976406930844,1.16987176914181,1.2197689131970224,1.1507733452890025,1.0112268068713757,1.018308720673131,0.9964168413635159,0.952313501629718,0.9588301454150034,0.8940896393247489,1.0372392176463792,0.9236707951877887,0.8272537639662751,0.8109566911392333,0.8499317786681574,0.9362544947343047,0.8748641845604703,0.8805797116668933,1.0099011626118213,0.9307949501868757,0.9648116197083129,0.9796398051038038,1.016451458810318,1.1310080566648795,1.1110925070011806,1.1444384085187915,1.1777557772134108,1.0797834116403537,1.0400428085689661,0.9978537564582344,0.9913827281977037,0.9097019896393914,0.8404971541274133,0.8296470549004373,0.8455262920686607,0.936501525427821,0.8952063455523948,0.9688819796815114,0.8449875943939217,0.8460848182406367,0.8196192788385702,0.8299173834954762,0.7635224978629906,0.7898070874778972,0.8035623660343393,0.8470542941367211,0.9558707062477171,1.0292938739136113,1.0883601230112185,1.193478238519024,1.2961124209643906,1.287425154098612,1.204630062867133,1.143859323915217,1.107560643690969,1.0458748449163624,0.9328728463762596,0.8574256476970559,0.9410362239092571,0.9642151008669204,1.1672029364344503,0.9616278936880945,0.9441383304374851,0.9646417793584521,0.9137949542024025,0.9102683241552038,0.8521192204578538,0.9007534009047051,0.9148034670088824,0.9449843923464547,0.9809568794290582,1.129799664047323,1.4457112387726083,1.1826702068866928,0.9624251008522993,0.9189098190030496,0.9413828448417858,0.9237948610180915,0.9587411173417884,0.9646279822956887,0.9559599758634321,0.9730543421743811,1.035937262062311,1.2470302106375482,1.192011184078654,1.312126963712612,1.4403254068799214,1.381391983647404,1.214801946302778,1.1532086653372322,1.0222529210750249,1.0811222031884078,1.049748424174752,1.0128115196388443,1.0200699922461776,0.9849640643988576,1.1028883137317924,1.0640622857619635,1.1408497741978783,1.233327551809231,1.103332796655471,1.2610324379788962,1.4266833661807654,1.3134481066958643,1.3555525605976697,1.1476032786642714,1.4000833866838411,1.8240466982595955,1.583943399666484,1.9465531996373973,1.5916551046517289,1.719495722534622,1.6429452649671454,1.5668732107647179,1.611173263543795,1.4029285135248937,1.40846621445,1.3263125119648957,1.2246776975611828,1.1922327874199836,1.0566116528836043,1.0170055731550147,1.0331264779789762,1.015739442709741,0.998673170338266,1.041851253449769,1.0500494130701954,1.0562214630973292,1.1590836664572786,1.2681305983731506,1.2625953212195977,1.2797561618039934,1.5182028639112906,1.5458824862179688,1.4724077529134636,1.3719839095571842,1.3096438022661998,1.1563288502400497,1.1772581082141687,1.1402695778394902,1.4742546728792532,1.2206905475524457,1.3791390631229294,1.3573582657458174,1.3736200501492233,1.4488076002410926,1.5706091659423496,1.6999822767146981,1.560995562071515,1.4659225191308318,1.7379739531093457,1.570018560000686,1.5721872011948856,2.0063494784821705,1.9605668059853043,1.6503070751613713,2.0463831325867172,1.4281320460056333,1.4384551505576222,1.410749188617926,1.2648134667918836,1.1940775557989591,1.2419412660138507,1.2397073142380863,1.1824079272739998,1.1151020903141056,1.0756756612817255,1.0933013736888648,1.0344890501864992,1.0309835426041216,1.0767452364498658,1.0449478534783299,1.080036514936811,1.0916025356030101,1.110949014789447,1.1528829703640715,1.1301346141260884,1.1223789441279788,1.073461501503075,1.0561683493628518,1.1001575520214804,1.1016120104693528,1.0604191630724886,1.1261626392899655,1.1132178078433415,1.094706569753561,1.0999139123646842,1.2163602465274508,1.1702719147487894,1.075776375390836,1.240301690960358,1.329010665906461,1.4254079474532941,1.3525794011862953,1.0887619874849805,1.652513812140851,1.6780366609721573,1.6110089450017278,1.5777092328272286,1.2682374427662562,1.3655656111136485,1.606057236568032,1.3231246334842854,1.2174197276674923,0.8693305242114647,0.9831787766708255,0.9563393221068067,1.0914681819621113,0.977920627132222,0.9784279044241514,0.9898087883727432,1.0232513667679701,0.9622278428700967,0.9423509790249288,1.0420080091719746,0.9798911203218237,0.9144761284321631,0.9342481964158543,1.3557103188437258,1.3373173408313623,1.6569439042058551,2.630607286498688,3.9430272633414702],[1.8639679994990872,1.8244580556007706,1.7044582908924502,1.5453705689521153,1.3842255094718954,1.4611240749104422,1.3073977358789046,1.341107755123523,1.314308917000836,1.1962634420966392,1.1970699225629176,1.3293705143069852,1.1623165812601999,1.1050225199037902,1.097587781323056,1.1153346511757185,1.0589129339528924,1.0244661610532781,1.1060735058695457,1.0834466511703584,1.1524825310112645,1.2764657900171832,1.5522050378169894,1.609538469244721,1.4670494785180095,1.1601040814360801,1.0724491743250049,1.0268747994803005,1.0606191082858496,1.110063845454778,1.0947949997675868,1.189268823763703,1.2120476358947814,1.1614619577243515,1.1481786225600703,1.1258134582443986,1.1521826292639448,1.1176690397056188,1.1028353747620119,1.2028470486015839,1.206971348991157,1.1404094722115907,1.262416795470247,1.3871093517183215,1.6926716548228635,2.026038271457926,2.31217042345746,1.6902386461196957,1.6450942905624126,2.2760478672666924,1.9372031917464672,1.8162607304065348,1.5765812125393777,1.3388991674163533,1.4270372521173267,1.3947622505710964,1.4128159900852595,1.2912996089325626,1.352642872712152,1.751647211052266,1.3882484635781032,1.2382338902728165,1.1335737528796332,1.256908385423742,1.2342862787144786,1.1837825873283778,1.1414382535748868,1.0546702975400173,1.131212540905889,1.131122394172698,1.0935466213848237,1.3213538492024313,1.140670824198766,1.1820090715589855,1.0555517463019373,1.1891200607324968,1.1327881142520664,1.1062306819138732,1.155174304430667,1.1698433970222948,1.2344306725632361,1.2229634810608307,1.342357007869412,1.4735995360347087,1.317923653977911,1.1847829566731187,1.184459596338836,1.2352905328378927,1.1166767738331531,1.1805259734756481,1.1153779612225974,1.1282373947017335,1.097177938413515,1.1174354850578916,1.1133880044038964,1.1580186697382724,1.225451224644199,1.1932357602806807,1.2358520420826047,1.4149533509605356,1.2340800565388328,1.3252026937676509,1.2481712755691357,1.2841114797157214,1.373533848953516,1.2935131528887922,1.411994930091945,1.3956536445027947,1.359782667071945,1.3603669839223906,1.3247892352663448,1.209790432512003,1.217013936547702,1.1370086081822937,1.0983306038409206,1.0277293783501578,1.0607301935839706,0.9906876287910505,1.0657941794322932,1.0113918940072062,1.0147239599591706,1.0672691202887075,1.0636350814657964,1.063981289780401,1.1369791823502924,1.1105900467640204,1.3687657108739935,1.203067787459562,1.294940571183265,1.2869397964287375,1.3792977563332418,1.4887888117310277,1.396568849859139,1.3589302774287828,1.247894134412353,1.2467660932509999,1.1678403312320051,1.0644433492348244,0.9598966439134936,0.9964775141145374,0.9881878926194273,1.1448815230357148,0.9841172524553515,0.9993359908594409,1.04518972387331,1.0500366199251396,1.062426754734193,1.1048067625344908,1.1293352229374107,1.1859886957024806,1.3036871188260495,1.3588619106315614,1.5140679827233832,1.8007767897211677,1.5481955379529482,1.3645566649872232,1.2588175510553898,1.2795001981567868,1.2072695309963293,1.1970387358445211,1.1225853880494652,1.1309332165008292,1.068926019204044,1.1506959264530134,1.3264255657065034,1.1351111509964396,1.3428637658007896,1.4800937832360512,1.3614383514338095,1.2662363794066174,1.195776669907083,1.0908361455408653,1.1660668706415274,1.175267206575169,1.1564841175777074,1.1823331003526047,1.191801507057004,1.2264649234889236,1.2024501788791746,1.2388136978849338,1.37421285632975,1.2324635536919073,1.3727209676869383,1.4919512029635513,1.3657956887725942,1.416215973522138,1.2445165873108248,1.5141671528234235,1.9536504024836585,1.667230858131899,2.005109298953599,1.6282076122044826,1.7227201759080697,1.630580630563084,1.6219310235558757,1.6884340054530103,1.513912977104495,1.650276348417993,1.5656485072860449,1.512022359915354,1.5165458047104787,1.4760204473730778,1.4540357289503167,1.4863236867675282,1.495951582531913,1.5302232435024457,1.582590757400175,1.6061727481119732,1.6013905128088557,1.6835836344064685,1.8027151085882427,1.8004574420729735,1.8099458440208205,2.038428356399214,2.0605852625920145,2.017077128324111,1.8485831626881928,1.8232791120902014,1.6753873758974094,1.6909227732797913,1.5753158005845724,1.8782314746707063,1.5164041074736099,1.6435245423714888,1.6780323152003391,1.6548556079958212,1.658955241786936,1.7672400898890774,1.8665521582887539,1.7334239174981485,1.701740553011285,1.9951561718705433,1.7842768957249688,1.7428282766404648,2.065158805454388,2.0844516149301877,1.820005679622103,1.953130034701327,1.6376598445781647,1.6480352129908096,1.6647654134788454,1.5876185973165815,1.575201241363262,1.6202399758640729,1.5515479524965805,1.5359410438250627,1.5690888877958389,1.5205611650914712,1.4923916851458408,1.5230797367430975,1.5469980440316684,1.5442949926034588,1.5597221654660747,1.6064205666040534,1.6207482354764349,1.6941374391889086,1.6844994872007035,1.6751953419811372,1.651107165607752,1.5565662018061408,1.5217601600879296,1.54235136737082,1.5612310812343837,1.5599803125204044,1.541514450028698,1.5134036971359446,1.5480641654997258,1.5200129479338402,1.5099401104307955,1.5424295212378185,1.53736329187608,1.5436448947617378,1.64358627169323,1.7814151349697223,1.758467678162805,1.6440722504030822,2.059220401103481,2.1867256649660454,2.161609947788796,2.1058330385707866,1.8355790737850917,1.8753743240324046,2.0455293811396356,1.8714614651255834,1.824911281065142,1.5265895204772528,1.476998992014667,1.4374257122258227,1.4206104058344513,1.3170116034983022,1.4327219893958552,1.4297008180297632,1.5032781083457496,1.5048525486193849,1.4722160316045487,1.5843562887574558,1.5863838540354458,1.6118134132240982,1.6275270668026138,1.8221994993738277,1.8816536393672978,2.3690333248106614,3.2158596484769637,4.601687562381712],[1.774041649146274,1.710986397313152,1.5571662835084599,1.5655497492144446,1.4894253170701826,1.4420354738856396,1.3409391153405767,1.340135621528588,1.352852555638067,1.289141493550497,1.2779102478592865,1.4362164529766306,1.3299036465724574,1.2486432732285981,1.2744536753675757,1.3382670413235005,1.2864879719989029,1.2484827528458071,1.3232346529504087,1.2854554788162154,1.3256272966886242,1.4954469182303831,1.6165857660457976,1.629196576862399,1.491221218705671,1.3304919152181243,1.2820038979739627,1.231795070108025,1.295176567815256,1.3616737880441698,1.3424230426292754,1.4222515983152735,1.448393381988026,1.4152132461418856,1.400611530427338,1.3754612043496424,1.3955907890136958,1.3417844441504942,1.3316455682321555,1.382872365389146,1.3690492389670148,1.3363976623488865,1.4600525887828575,1.5078248627356439,1.7351222340991173,2.0324574677512426,2.24887789622473,1.7036401726382024,1.6897715685561345,2.227615363553882,1.9143127332384986,1.8292463436571307,1.6854090412333933,1.4811111227062355,1.589475530173773,1.5343758446114064,1.55168878002989,1.506990346313152,1.5239650802820737,1.82249775236189,1.5828656446884974,1.439985720085189,1.375782372354891,1.4829797659298407,1.4311894370953504,1.387983711647827,1.337727731591259,1.26208956326057,1.3120686252135763,1.3138359177513583,1.2211854612738804,1.4148213229266737,1.2908900064792124,1.375779367341338,1.2960936836684853,1.3811086461658215,1.3521310456362186,1.349653341043425,1.3888030893883023,1.4200364650258062,1.4786309778048865,1.4506703796133873,1.6096767871727722,1.6752196823354728,1.5149363657263015,1.437724316474978,1.4213323946412928,1.4702009454135068,1.364849741527829,1.4309320306882145,1.3552978462540821,1.3975814303187197,1.3198899316122188,1.3578427019435497,1.3302916346265405,1.3304057208907951,1.361362057762161,1.3603726456593805,1.3976978814607401,1.5655698170209091,1.4140824778084307,1.488057800512261,1.4595569559813784,1.4625727218826516,1.5507975350634238,1.5444116908863552,1.6285557472330126,1.5965836234581303,1.5626152693143818,1.5789694958992107,1.52038318732776,1.4260501000122952,1.3600967267900648,1.3486370663727716,1.2779286115311288,1.2007400454746944,1.2084210820690844,1.1204516839199912,1.1730845312985423,1.17734713842177,1.1676720542832362,1.2307092494557148,1.2072431566207091,1.215086417260453,1.2726007296239337,1.3100192758669293,1.6732519756001607,1.4543703528077365,1.5883629548101852,1.541155487761119,1.6302979276164755,1.6930507057195219,1.5946432416347607,1.5920128330493404,1.4773989886245191,1.5412012338300618,1.4567148403629329,1.3068435505313467,1.1891870500505535,1.2082316552093058,1.1096856048670745,1.22143277885497,1.1436860504005744,1.208071631341312,1.2643092727052048,1.2739100743024014,1.2786302746120974,1.3148047651360164,1.3512183985991062,1.3493744256471765,1.4644095940745463,1.420867517872306,1.5494916188259007,1.8734865730852492,1.636771765458739,1.481208874573118,1.4233562477102508,1.4435351587449148,1.434335161351542,1.441996480129399,1.3731819403550944,1.3660450960167139,1.3055537322306776,1.3724388051064582,1.5068665245814876,1.2972117880376297,1.4520338883609931,1.4864893493762241,1.4395042001879226,1.416625328363204,1.3906140860880776,1.317599642617686,1.405509589674556,1.4128555519084123,1.4034921407009333,1.4449661427161677,1.452290464106083,1.504420280483348,1.451177135755981,1.521609053696454,1.56875061915666,1.5039837179568458,1.5782342063182948,1.656402986631989,1.5356239129052653,1.556813904632403,1.381489383727618,1.561116864510205,1.99853175899649,1.680429950791077,1.964396148030181,1.6894818176345041,1.775956004947352,1.7333788188984713,1.7351375574119507,1.7674711312974998,1.7025561681703998,1.8124746585457094,1.7501656135254366,1.7280209279090202,1.6060335964702988,1.5732108955210997,1.573534274756797,1.4862641814167166,1.4273563763736103,1.463300152201675,1.455779535114744,1.361711460320028,1.3793688119093315,1.4128910554949965,1.4248426825996443,1.3854933195657924,1.4166933264411556,1.5479702127701362,1.514046112882305,1.5294361111377603,1.3668213481258653,1.3720037746806417,1.2654965235294886,1.2599692553649264,1.1993343087667145,1.6274786201649722,1.2419543102490136,1.4828068411425737,1.5199644899311102,1.5197145794075777,1.6357379039257327,1.678574185334166,1.7403034745531651,1.696345294275544,1.66897902738863,1.8497054156884447,1.647449638334229,1.7196019694572309,2.0366613309099804,1.9180410402723644,1.7080860882073952,2.0349994316724795,1.716069504838867,1.8198310646860552,1.755717183415766,1.6488081188480952,1.6848107719049268,1.6607171733810222,1.688405683119086,1.6508055068452845,1.534614501015421,1.5870700206668074,1.6757658605220318,1.496338627623231,1.4486241897034915,1.4682508477248364,1.4291592428372875,1.390799822369346,1.3790603968345805,1.6187278291593556,1.3439308412080824,1.298566050667629,1.2908959083135885,1.3252300114392743,1.4004040110925438,1.3493823494178157,1.2781480891748511,1.3292674239930247,1.4070437327067513,1.2680920548250805,1.255661489611692,1.3404443398792258,1.3114930557532238,1.230343171021609,1.2386797357636152,1.3427476681906911,1.3605619986845183,1.5881494289403437,1.5828216204557248,1.3635904217749877,1.9969919405235441,1.8229468309878407,1.7180621003727936,1.5682020918488369,1.4287521749393255,1.5150764832156762,1.6078086274716965,1.5488625941168137,1.5487391949772806,1.451389373067805,1.4382547101363596,1.5495956187897195,1.628758131762514,1.5168705756281984,1.561480862644249,1.5227306922108386,1.3954435790395687,1.647926941253944,1.5943754658449398,1.4374143222192661,1.4635907976427933,1.7553239708228339,1.5020641325245938,1.703368395002733,1.5341180955893345,2.3465188372360832,2.934508343362067,4.26740762920527],[1.1889811261216607,1.168556091196568,1.1772340432870563,0.989784998370293,1.0255612699867813,1.1272792377439176,1.0441346247771282,1.0849823916061323,1.0411129377099992,1.0206402176259755,1.019005764140462,1.1021114755211958,1.1014988767457887,1.0043585458046407,1.0721099048189808,1.1285102308882902,1.1427038629048394,1.2200513932037143,1.3871294169898052,1.4040334550264078,1.5216199071809846,1.6899588824404486,1.8921423709610348,1.9386556791060312,1.8491835405917385,1.5218924288272058,1.4231537658236715,1.2990068069310559,1.2856535394128001,1.2338925345102272,1.206230632357587,1.2273448298842198,1.2380257940053339,1.2634666729799198,1.28190766933431,1.3255917523489098,1.298830024036052,1.4767311544416994,1.4601245244415104,1.5304868503616909,1.5724110335496382,1.564162136088701,1.6401699768937237,1.7585356329914044,1.9615611549516108,2.2505524181663805,2.4666667601514956,1.905250780175855,1.932433451533127,2.5000617654013513,2.239937746059079,2.0515407054644865,1.9189285438618917,1.7253896751607372,1.7373853344687802,1.7717945291337878,1.7330101059181253,1.592790993563085,1.66332873706074,2.0531300517518893,1.7159818375207696,1.5881436661362407,1.4613466413725953,1.5634249646769411,1.6266277590718132,1.5232503860578672,1.4684599871891704,1.3529702188943933,1.3974874942500402,1.3038800214503465,1.3328787709251242,1.5245625951986075,1.3078800067384935,1.4509374623398577,1.3218834879167678,1.475965561240912,1.438478680077021,1.415520215732598,1.4287818497966367,1.493888626208844,1.47617844969843,1.508597107360184,1.489005159682978,1.647118389918378,1.5328090912618189,1.4098876789336567,1.4729403934521899,1.426124799276347,1.3835104582432962,1.3537688074940866,1.2901102402153006,1.3512036246425114,1.232078415813897,1.174149593531125,1.1313911213227037,1.1207432611448818,1.1720361273415079,1.12645221217705,1.1139934028948986,1.193040534835921,1.1550036418823855,1.1941789616597551,1.2644035234621191,1.2282555966162583,1.2587259760067109,1.2959683001215274,1.3031725762678432,1.3189114322539042,1.2019133673350988,1.2030719324987706,1.13211614480405,1.1936387478972796,1.1127982443431208,1.110119070860392,1.1102165502238677,1.1183671692949477,1.2144939950049691,1.2461177515593493,1.3362481055915811,1.1917024336163562,1.1476411789032652,1.0555600374218645,1.0553336596155243,0.9769217371608263,0.9973198821771161,1.0524747132488337,1.031740794334011,1.1505137022458296,1.190446978638567,1.2869881636564378,1.2974810666181316,1.367898627462984,1.437660712863258,1.3908979519047737,1.3778495944824545,1.3539277863399295,1.3064852198751553,1.2443865473085902,1.1519413796641422,1.2676327090475803,1.3677019717550831,1.565838191847145,1.3809595689067105,1.3446064539041755,1.3779982448106323,1.2976351437894627,1.2564086851233733,1.1642600318181817,1.1799277743191299,1.126509933036211,1.1434134861956315,1.1074739704439494,1.230958265879473,1.5077913200633528,1.2571201602308029,1.1417359725307128,1.1378846799634361,1.1567600078763103,1.2030825348055065,1.2046462378843599,1.2722958445043526,1.3389004935632287,1.3535296159742487,1.446376215325185,1.6136686853864206,1.5453617587113517,1.605769236783089,1.7069303092750503,1.6113482586064585,1.4930198061686337,1.435025125244639,1.369080131701159,1.410669184520093,1.3829730101555338,1.3433441979861587,1.3000761402460095,1.2987200392991511,1.3167388025789926,1.3872073865784715,1.3896125138734443,1.5517444914699698,1.356890345129558,1.5150162791603152,1.6225633260827448,1.5714567454600652,1.668970697379403,1.563303293311424,1.8202961006357548,2.1636467245411053,1.842864217801247,2.156056239728999,1.8211418739435379,1.8696509361892482,1.7802548230427453,1.7185696875722132,1.691467965376195,1.4354006860046218,1.4060890037782956,1.2906764599873486,1.2255871750522,1.196716678599497,1.1379302140620553,1.0931357210311785,1.0919173857882951,1.0973510375994673,1.0987834048941467,1.1777527828739232,1.185038412356572,1.1584603191782497,1.2608665196717292,1.3871676414145258,1.368816903702403,1.3415193184548786,1.5853513520864853,1.6189503828074927,1.6077408607382155,1.4600054434927032,1.5097702459714353,1.3236637074185238,1.326277070921944,1.2883234979317215,1.596131246055764,1.327645808527575,1.339329529821609,1.444861815042077,1.367355576493302,1.378207097877632,1.5012779098758626,1.5729205424827697,1.485073213610003,1.459464470749006,1.7193261368896984,1.4885593259003351,1.4965312426317,1.9234679329594908,1.812701408212577,1.4909875944686566,1.8099653484409244,1.3483290206532594,1.4299889446734941,1.4521369279170007,1.307339612896561,1.3298243272539536,1.3685103408957602,1.3125687653095242,1.2433746317890582,1.2044125021806735,1.1804562254685687,1.1899954336626322,1.1102575229834066,1.099375551499363,1.1140509913120424,1.1224071427711912,1.1848872738716287,1.1588664173585213,1.2051962795900428,1.2262040723449004,1.2180952390994517,1.2129384518844348,1.1465722423296871,1.1367925505264789,1.1854805238132016,1.1857061666199147,1.1621657833369434,1.1908210559239085,1.1910042109882375,1.214735785551446,1.1624641846239498,1.240752165394038,1.3039408850033656,1.2678587847720957,1.2259883662917626,1.4530143339311519,1.7211211252276053,1.6889952908243964,1.4710700033181208,2.119397449888243,1.9935431314961212,1.8951444859154265,1.7434463702605452,1.4651130162575163,1.4847714136991457,1.7116300898196393,1.559329775492585,1.6391877753336177,1.260476211865636,1.1365636101386833,1.046523579485606,1.1008880738874194,1.073462912714484,1.0759685611089727,1.1100171541745727,1.192833500545759,1.1429666475274833,1.0688152178292991,1.2101395216630175,1.1550818868648278,1.139737100937575,1.1228919691222758,1.4019921186697561,1.347739160512488,1.6963312682139464,2.6206104365323024,3.594795847308339],[1.0717360446646116,1.09067364524821,1.3004676217978604,0.9950360237895722,1.0624827152793967,1.234164007199535,1.0778748233824202,1.0874089584389441,1.0587181666975178,0.9650543227625956,0.9615008129369369,1.0163597642449693,0.9506184031012334,0.8792688961966474,0.900181716938675,0.9268645445928275,0.9055696345704155,0.9227652015386706,1.0878986955501457,1.0385824205415815,1.1430848851645328,1.2983620767333992,1.5080865770964715,1.5526265990128485,1.4149173136078306,1.1640838326866547,1.0579371300869462,0.970982638023588,0.9604223124467282,0.9478911517073813,0.9531229234199131,0.9668450456961879,0.9914924076604646,0.9778642078852693,0.9737110741155424,1.0009905826436347,0.9735341289226128,1.0586708729705243,1.049932183891847,1.1213159271796702,1.189190145164779,1.1292248753185303,1.2475306380330693,1.3528804479565697,1.6299357010667874,1.9463244356253049,2.196895297502868,1.6353010994888426,1.5739303153276414,2.2108984583226605,1.7562089848177034,1.694101000067722,1.5120330743324342,1.2910995629344293,1.3664469179102134,1.3539297315736307,1.3797288837664545,1.2437077528376963,1.2963202631775097,1.7160663292637905,1.3728559088660182,1.2035670677381463,1.0888550967038344,1.2309471998337385,1.2267829360398137,1.1376167019944377,1.1220348890067933,0.9965526149292183,1.0966806543252223,1.0607816054143855,1.0636591425684974,1.2880099876375437,1.0603612293172713,1.1444145014695806,1.010233609032526,1.1538207400036407,1.0543665304168524,1.030544241329448,1.0427594065808061,1.0891279152496087,1.1029314439243287,1.1142835169988612,1.200719960316562,1.3335371652285515,1.1845188085017135,1.041054605260355,1.0848616291608655,1.0764336416200522,1.0103876841169273,1.028808797288893,0.9825512430540883,1.0905313107298054,0.9833824162767587,0.9277216869256162,0.9152157186167623,0.9434784972789493,1.0181111610030815,0.958566304163213,0.9602500869977465,1.0465867238699718,0.9477690004862517,0.9966155981383553,0.9731048079752105,0.9826941521205765,1.0283904933365318,0.9995748623357825,1.0164951744010216,1.03265114209736,0.9635142725957226,0.9692129073938271,0.9857980689205159,0.9820783268652153,0.992342605387095,0.9175096157012337,0.9258954947183157,0.9028827672808943,0.9805399295311454,0.9598374111336915,1.0414137718271848,0.9326084044517149,0.934367134500288,0.8831409612242248,0.8989521305406857,0.8436462072061587,0.9088239915353808,0.8881072979973251,0.938599505738404,0.9794754588405756,0.9671781497911895,0.9887078225287029,1.0175512233015476,1.1093558559372634,1.1473510256309143,1.0662501065374412,1.0289015117799045,1.058276039899197,0.9927838905173508,0.9494019917659858,0.9017618397364618,0.9642883774389702,1.0296357886413692,1.149366353620948,1.0002403664431316,0.9869810300476134,0.9980289519031874,0.9522783404808608,0.9522955166267217,0.9053914855123647,0.9360456609377982,0.9908355582553074,1.00814194740674,1.0515334093987765,1.1527663378295778,1.511973855157939,1.2094083033093874,1.0128460845520906,0.9864637643213474,0.9783919487541254,0.970311612950299,0.935925259767676,0.941309881032942,0.9854172209096635,0.9923971067794619,1.060400301514039,1.2491784624431048,1.123908858692955,1.2921074001378983,1.517254819439421,1.411687726694265,1.2549428621205918,1.1104723628019328,1.013639598551563,1.045345853899471,1.011139816325641,0.9709779382650954,0.9449540392158096,0.9751274050893427,0.9959316049407007,1.010863038977349,1.0303746787084163,1.203711729658412,0.9968642223280677,1.1591815780831916,1.3167938716744279,1.219767012634154,1.3124830033781747,1.1643116870701506,1.3736934707233626,2.0178496938790285,1.660835686405529,2.031292221190383,1.5787468958625546,1.710403020693399,1.5936420274115104,1.4878140175118115,1.4634932217814332,1.2068485469881927,1.208860544180318,1.074987304921499,1.0218033564073958,1.0228064048789822,0.9882144449465963,0.9808237151944059,1.0679640979347764,1.0793666863410913,1.1375988157889363,1.3146437834964675,1.3022753081884872,1.2524113060735487,1.4342248838256764,1.5799459748798967,1.5435906540468234,1.5007712907776276,1.7431000393112337,1.7856581525275554,1.7826416325042362,1.6527751660060843,1.685665252564278,1.4854946877031079,1.4713278187573307,1.3641659079942583,1.6398865862679863,1.3860397187948716,1.2662353134053284,1.3566801816475385,1.20738893925385,1.2029848516214807,1.2953740327653642,1.3473181883403647,1.3591046347142293,1.2119349866817157,1.420760086370157,1.283639410810988,1.2695713703296998,1.680882529609201,1.6050984167613196,1.3179467431987324,1.650884080027762,1.1311702461508986,1.2135361576695574,1.1868145330209288,1.1071439496408289,1.084839614790643,1.1467047702586515,1.0928014724408424,1.0391112795630484,1.0775263816973069,1.0378936231965412,1.0576884069218042,1.045427444769784,1.0682002313305106,1.1180473828697137,1.1811905862676746,1.229092635927186,1.2346255535091026,1.186640637625545,1.3779497784810273,1.3355029596768884,1.3270079711169327,1.1599466133828846,1.09153550677717,1.1114045590626638,1.2037493768132494,1.2062683382620134,1.1128583190473498,1.1821700442020457,1.2667451048680678,1.1465600833334837,1.1976280959766545,1.3216186370132461,1.3379387691081368,1.2040950676256215,1.3654985831593431,1.7527190918497826,1.7319150663971623,1.6306964286644632,2.090479408702517,2.132528119678971,2.0873323161041673,2.001708507018169,1.685019508791948,1.7030412514057114,1.9805363068999695,1.847641832104318,1.9328126486656012,1.5714184522257533,1.1893491542547152,1.0477173600450023,0.9583145872097686,0.9895169740906843,1.1012612645070987,1.0650989956159287,1.2250008385923499,1.0407783436065965,1.0258984446888055,1.3236936390111693,1.2121989141738936,1.023379484375834,1.2453627877193918,1.5356455476556965,1.4554975931828567,1.5175011961672458,2.6709003114698873,3.076215898139104],[0.8112721832633376,0.8295906866924209,1.0268839845490234,0.8083557547427662,0.8828379055181079,1.0813706367807627,0.9849351947275584,0.9832822542835936,0.9726466323412232,0.9037432670417223,0.8989025851621754,0.9291445010301009,0.8666741046399835,0.8281577634874312,0.8391445345049942,0.8257376543813271,0.8118300033284883,0.8160154773833311,0.9798828835407413,0.8851840029068722,0.9865451461566778,1.1041614764173104,1.3554391436829756,1.40566718376355,1.2911514437389935,1.0099434355345118,0.8849893131882632,0.8387557386592428,0.8264812494556614,0.8134849906076919,0.8394335936680504,0.8338117314370372,0.8514672126079861,0.8404156104159859,0.8207870139165693,0.8388994353348663,0.8004853740216904,0.9048216451744278,0.8446178474228262,0.8862268977689962,0.9947712379878326,0.9318745644850939,1.0056077666466936,1.1156894136033642,1.4196760262214743,1.7352007309552555,2.0909509352581064,1.4416784235114948,1.3857355656675145,2.151545052062036,1.567632628389838,1.53971241022367,1.2849549263898319,1.0821656984567056,1.17561845227051,1.1248023326833358,1.1530072771145474,0.9900697601127205,1.0399696919722972,1.5696691858515448,1.1340245935328035,1.0043744040458995,0.898819287942683,1.032059383293237,1.0390767025942822,0.9614489488280747,0.983546986943195,0.8783717911088478,1.019680138875844,1.0069286997960918,1.0583008896829305,1.3106486132880864,1.0210550738295145,1.100512208472323,0.9152321215024438,1.0938294928720325,0.9015203266552805,0.8777630173902885,0.8473544086790478,0.879624323817463,0.8749318218717091,0.8868146358813235,1.0195040447532215,1.1121651572170526,0.964620923765635,0.820407627847792,0.8633374409689698,0.8986691506558773,0.816149365376763,0.87154851857066,0.8313151149136873,0.9890463415024411,0.9044684941414044,0.8128133964765392,0.820218083202931,0.8921604168721662,0.9911909346919701,0.8741511609637012,0.860170074161861,0.913553969759433,0.8281721177993113,0.8596909954278242,0.8114675206644338,0.8324848416619567,0.8553018782121232,0.8239357744305478,0.8211009168645916,0.8687471908651575,0.7698979715137113,0.7648447210873879,0.8035360453486561,0.8323352638640438,0.8792142898978917,0.808638954005272,0.8516820501837137,0.841218277650163,0.9044874308670413,0.8941506500854453,0.9686336937959914,0.8572857060387981,0.890473559099295,0.844608190638365,0.8672602323912345,0.8077195246522426,0.8650668285054068,0.807884864399007,0.7853865402112458,0.8520218779913153,0.7759456345190361,0.8016829456081429,0.8387489057560504,0.9448882589313545,0.9608450582953462,0.8562470058378557,0.8218992344638251,0.8707332527219743,0.805982237966631,0.8072071814814513,0.7875893031727974,0.8169296919746464,0.9155365585371874,1.0161611910462625,0.8625604938160136,0.8404842662790369,0.8121562124400062,0.8071334428760589,0.8249776131579795,0.7813136910582786,0.8035227833563928,0.896888064299038,0.869303767201488,0.9509657301430772,1.0316611011480168,1.3881943777722054,1.146930696021437,0.8937346466884422,0.873588066469498,0.8495516174294797,0.8357445779162105,0.7673432621157474,0.7658528479330118,0.8057961377950923,0.8049656274163115,0.834360909467872,0.9867189240593363,0.9320144747304737,1.0575374091156684,1.3244089858313044,1.2374416109527255,1.0564758631659232,0.8853033104079853,0.8193411224829291,0.8251329244901325,0.7963616193918214,0.766923181573683,0.7449168259140105,0.8010260988031864,0.7961446330610806,0.7963112824103799,0.8065172430181066,0.9770626935809894,0.7856674731215367,0.9328457765688354,1.0886297465607286,0.994941904267042,1.0779563902749696,0.9368366874425056,1.1317080209701225,1.9283295495331327,1.4938226752862298,1.9157365959742492,1.3888181606257375,1.5558460237070197,1.4519268507102523,1.3140440173940844,1.3145683734682376,1.0833578960349581,1.0978409370995583,0.95840771921318,0.8811462589878665,0.830923591922367,0.7699955907859171,0.7582346144075315,0.7797516449530473,0.7841495419243798,0.8529153455511245,0.9634258046640685,0.9420389797648143,0.9366328503242278,1.1261319440584263,1.2188307096196276,1.1871625179172456,1.2091679612524198,1.4428333258633277,1.4367611350665224,1.3832139311361658,1.2831702541351837,1.2206786989569611,1.0512793922744743,1.064564863248992,0.9864435974194612,1.312401190718325,1.0502033518033356,1.14296728381823,1.1789800326143152,1.027247071087425,1.0365658656692014,1.1527723448969533,1.2215988369846131,1.1781297848062247,1.095706880140667,1.3562853850156416,1.2073153013202722,1.1662480468326937,1.6055137019096728,1.5659967858111206,1.2663677459104212,1.6159818377679145,1.0162191464011074,1.0937305564504665,1.0529852262882389,0.9293604873793845,0.934620910966156,0.9455215870998893,0.9063340509256876,0.8450425230902204,0.8538597543353035,0.8193690434725428,0.836562295669543,0.8010315751585589,0.8227652836742604,0.9093152784518572,0.9190820367376218,0.9328577584940609,0.9541251071186639,1.0003506500120427,1.0610061053239939,1.0077894664960705,0.9842840565431301,0.8578889175554909,0.8234964626711819,0.8630382399856714,0.8778410921868759,0.8710157085013913,0.8484259353499387,0.8887158647031594,0.9132277619035987,0.855979334332213,0.9707390289145931,0.9929566222997938,0.9354309303114272,0.9775983511070687,1.143167025547457,1.4672861465379772,1.3595919375724506,1.1055190803917605,1.6798979665090736,1.6626032975340577,1.5440503613583823,1.5098854543907305,1.2212021677998723,1.3498843411357226,1.615732878513093,1.3546649705747735,1.2864988343001007,0.9871115373653957,0.801736391371962,0.7646472106522011,0.7643489461667075,0.7825493718696408,0.8637017614048497,0.830641003225191,0.923985423749519,0.8072440570474175,0.8053384792867889,1.023702712935133,0.9056657873491174,0.8467762043587923,0.9559168531687227,1.2820224345598734,1.1696507258341333,1.2599796204484974,2.144113053868489,2.956146344210241],[0.8498685137292176,0.8608246819425169,1.07467823950697,0.8392885260349298,0.9078366162534591,1.1063990404691575,0.9786375179168407,0.961607140701905,0.945038636766392,0.8331012398332995,0.8222475975463694,0.8470264907746186,0.7670226908445847,0.723392868872903,0.7241761341654804,0.7099629810482849,0.6925726718708222,0.6984288500896089,0.8872645206865345,0.7888660171885847,0.907993507171323,1.0509691037490347,1.2486246898069537,1.330923816975412,1.1729737771719164,0.9422265107638023,0.8036689464467011,0.7243243535869602,0.701964372021767,0.6805406868776266,0.7173507492226534,0.705300216609979,0.7270257946154026,0.709743172939392,0.6863904333494127,0.7163313928128983,0.6530291929452138,0.7604658043997098,0.7193647491804288,0.791331653615482,0.9503176209621479,0.8440486585006279,0.934013859470349,1.0438492734591893,1.3986804824776795,1.7363385360195736,2.0677813864974985,1.4141013116760175,1.378425955785648,2.1677273319151698,1.482499885709911,1.5167322899035374,1.2167987112545278,1.0000778164315376,1.083911496960377,1.043443488057243,1.1043670399258962,0.9353710649728555,0.9844689147727421,1.5543107848841575,1.106582468051919,0.9428671869566218,0.8178721583073784,0.9698542329885356,0.9667635074455793,0.8853350126560976,0.896952954575619,0.7657195984727044,0.9196252868958057,0.9100898840379905,0.9355762133567267,1.1945995572644745,0.9262067104541466,0.9968310516868968,0.7988755439791794,0.9969922780456663,0.7906451609244474,0.7537655091342244,0.7354546669905524,0.7883717902101325,0.7467448639098611,0.7675610608385615,0.9073427918279974,1.0025255312835084,0.8755051695793483,0.6782741627403645,0.7479309871702625,0.7738126623189023,0.709315889928908,0.7420038169312173,0.7177321550330111,0.8982430138816994,0.7955419423641404,0.6911739448092246,0.7017805954955919,0.7757457310929956,0.8880494687357072,0.7701470267343824,0.7641156115666102,0.8338277058949215,0.7245721229456303,0.7835642058392552,0.6912041430717493,0.7439724135275475,0.813335539421985,0.7431660167288614,0.7509486246477367,0.8051140541770785,0.7345295558549985,0.7099097497677143,0.7707249974542146,0.7437841788471472,0.8120579339235671,0.7013918540827815,0.7390614380302044,0.7256952354831638,0.7946650917012348,0.7801363480330064,0.8732255335473668,0.7482148457247819,0.7826384446515321,0.7404871977716401,0.7820533699366743,0.7039554953546382,0.7854439808605478,0.7186471693997054,0.80655293801009,0.7853231976007661,0.6975639553582013,0.6971184243937946,0.7418207036757848,0.8443154067529918,0.8724744425855526,0.7299649806917153,0.7171527232192605,0.7559719503137137,0.6944948551961979,0.6859134712081331,0.6752746556489366,0.7154168872964565,0.8157398520731078,0.9798198032741637,0.7766428247122794,0.7341397030596345,0.7117408880797687,0.6773323715814791,0.6926673025145629,0.6536309001537292,0.6789096434991958,0.8192385510987161,0.8089877364335571,0.9159060802409029,1.0028911330727974,1.3615797725370589,1.104929586709648,0.8294703203015983,0.7930768755083236,0.7690396649413319,0.7214018777521053,0.6785489656467377,0.6327291789511961,0.6643317225189005,0.6831450455089244,0.7189110420500103,0.9181469681818579,0.9183238146670833,1.03833864309745,1.390638273010207,1.3253733501051506,1.1016312719953973,0.8240417986943618,0.6979438209625699,0.708122539245589,0.6613874949371771,0.6209978184501417,0.6080206560154392,0.6739521020300182,0.6648448375303955,0.6641405620259248,0.670593070749861,0.8774307681646349,0.6573565338571594,0.8208842492941598,1.0043152624393408,0.9147663725751614,1.0324203499195062,0.8740335057877768,1.1106269974952323,1.9644231548926683,1.5195364865150838,1.8918379021442058,1.3882316828008645,1.5434765959721155,1.4443147982692728,1.2465060717147753,1.1968683895562273,1.019139111782593,0.9818851808814713,0.9230216269704635,0.8478865949449408,0.8567567778606774,0.7919143503717928,0.7776940933299001,0.8814217691374018,0.8734500135572085,0.9219434156229275,1.0623457253866144,1.0466263887038776,1.0172809465570785,1.183970870401267,1.2694080940725672,1.2365999516738975,1.2319216772699133,1.427773719981098,1.426211528334706,1.3816054878149229,1.3277434736095228,1.2699127438225881,1.1451755080612993,1.1498702092021003,1.1130619222728113,1.4863294351984129,1.177706390176932,1.2128757350566615,1.2635340243344455,1.0818900024346236,1.0838587502578667,1.1637488942912926,1.1922685513791715,1.2203256902044917,1.0712488169455952,1.2076123578007638,1.1595949712981126,1.1028417523857676,1.5454789300645115,1.443760992409379,1.2126977259402238,1.6374104139542325,0.9931832490497439,1.0213072560896632,0.9828707258495532,0.9387353012470395,0.9110628139389517,0.9536888308345585,0.9313104993527325,0.8485514395046952,0.8881178682309655,0.8805778894084044,0.8824352111277886,0.852769808397743,0.8677284322773525,0.9588198046251459,0.9659458733163978,0.9885878218996935,0.9981604657022182,0.9971322674228192,1.1210108902180553,1.0746005948073634,1.0691145863254805,0.9490141045958738,0.9056825464192175,0.9379472877594522,0.9837349891617437,0.9860693475436141,0.9364971853138111,1.0122685891394883,1.0456534203788543,0.9826185484621521,1.070292853224701,1.1111716415207717,1.0715111518821374,1.0928741060984883,1.1960356582711371,1.544748646149041,1.4823985971647697,1.2513735972725426,1.7150583076727262,1.65136704174545,1.5315973695335188,1.5024725441623272,1.2803754797917157,1.372757547249511,1.615627279093722,1.403704400216393,1.351528503141193,1.253195858844635,0.9561249087987571,0.8587576991029128,0.7713935210239196,0.7781197064663856,0.9083261326337719,0.8388290775854798,0.9312566573196405,0.8281047824592245,0.8239004300164063,1.0328483792938807,0.8726948373217499,0.8515812760939505,0.9679153432724211,1.2636622499376002,1.1548055520172924,1.2055571827915295,2.0909348685123135,2.556745706967971],[1.49889634987946,1.5086989652001257,1.7105801275221058,1.379237424526829,1.3446795788936239,1.51695886858059,1.250231228086279,1.22551599503609,1.1969298301903182,1.0450097248784405,1.041179525232526,1.0935937727986929,0.967966440591419,0.9338566403775876,0.9265830756761116,0.9435162119431086,0.9310038714605828,0.9478636358428486,1.1497011827947106,1.1099301501519558,1.2086218777009883,1.3899665162572419,1.5672194927474314,1.5887339475239328,1.4692693497617317,1.2589091027183075,1.1737223706242197,1.0356676790481387,0.9993598990314614,0.9580458757206464,0.97394428364425,0.9704437449267214,0.991793037870974,0.9920255806334023,0.9858653005327256,1.026286641192404,0.9950208813255659,1.1150253310216092,1.1526553978666678,1.266078973543829,1.385992898321546,1.2505498426299047,1.3931944770885356,1.4972694563130418,1.7337170859264617,2.030481133799044,2.280788840637608,1.825296497241611,1.7605819845682729,2.432820020577542,1.8457809432256023,1.807633388611937,1.6404545002166557,1.459578244254563,1.5030614305579475,1.4949285504368928,1.5456672173052393,1.3876034720313586,1.463478994338875,1.8338067613741131,1.4982280123158975,1.3085840384180591,1.1945332664247807,1.3475893698971677,1.3272840625285065,1.2258383463613773,1.1760788814494538,1.0294024199613743,1.1103187018050704,1.0505365573071612,1.0123745974799612,1.238598280633093,1.0565750298011078,1.1661171762678104,1.0151266550285003,1.160578250982313,1.0984489502232198,1.0397075443179042,1.0936463112199635,1.1862605172163612,1.173361500511637,1.2132359960658452,1.2392321908909427,1.4368964233794848,1.3247882394067623,1.1230950713475287,1.1658691647951671,1.1156553767666972,1.0632738080047268,1.0655456686934297,1.0111150950126508,1.1058058799306059,0.9908678500877144,0.9481601146949318,0.9373143462238654,0.9702862805365812,1.038257551400284,0.988692459198825,0.9966635060711869,1.0784618261184398,0.9338838445751956,0.9647931367301551,0.939426039415881,0.9223025154313059,0.9714812880943935,0.8805365753193922,0.847699733388705,0.8702794096457683,0.856369100162555,0.8639100158353896,0.99974931607781,0.9418762953528529,1.0334312069510179,0.9288284602695561,0.9372686001190866,0.9281636915302763,1.0183307926500125,1.0013777856638388,1.0925298123246876,0.9542650543969737,0.9463269536848772,0.9280727868025758,0.9456621114687833,0.8929578438974887,0.9861038505459353,0.9140478740434402,1.0392818233970955,0.9784419362848538,0.8838021467826866,0.8862122163308492,0.8768875012057462,0.9876463874282877,1.2042141276028047,1.041092925495118,1.107950697396802,1.1065717687017125,0.9484012921343301,1.0208807546567094,0.9655801509018682,1.0527490816893423,1.083296963035293,1.2711560543833094,1.1042463013334436,1.0803494307647918,1.1259980758018986,1.0119792049769287,0.9906593418087597,0.9126987679018843,0.91549721987415,1.0098169982092506,1.033754546193328,1.144023922887895,1.220024627598393,1.6328080559799696,1.2845262345241417,1.0526772555278068,1.0105178842346578,0.9745722273874434,0.9479276421543372,0.8722651446475839,0.9252157879236708,1.022510498972458,1.1056596664438945,1.1947317281356165,1.4475117706137535,1.3604109991111064,1.6260757997196873,1.9664211941264098,1.9196550932510126,1.6982004761700404,1.4034389776542262,1.1828348942556788,1.1916530826271343,1.106959809575729,1.0286379216288386,0.9279030997577714,0.9673006694008757,0.9575483968403452,1.048359506372635,1.0444887494744586,1.3532568257409918,0.9640153939966477,1.1989064371780127,1.4308594434426287,1.3797858284467646,1.4883026234425654,1.373350496480496,1.5768947363619272,2.4212134189345385,1.9846760983353158,2.2895077647887963,1.842727166425978,1.9775669995813587,1.8321216108974063,1.6105392034773465,1.443923865354397,1.1604156105157337,1.0225050721497355,0.9245703908879371,0.9057136260570254,0.9912066131282603,0.99904477574109,1.0483167056541103,1.2665281073789914,1.267628332702408,1.3846489275787708,1.6801106675677815,1.6247698725706097,1.5404737599065146,1.7816604814397474,1.9289347466591247,1.8764331203646825,1.821535965098162,2.058995264706692,2.096906447728566,2.103612381744534,1.9845600601051314,1.9669961830845948,1.8000301118978816,1.7702356233515626,1.6286721828919062,1.967551017855907,1.6124344251253226,1.4167658807667574,1.4623853793167894,1.243248163910251,1.183278558385405,1.1965774428959892,1.2930045036381952,1.348396307098854,1.0606761862131318,1.215348993276087,1.2061855834680169,1.100169837010774,1.4959408329072152,1.425291651156737,1.2466118843867828,1.5915761605946401,1.0159999952288128,1.0174077501543473,0.9716835733227708,1.0023579578063644,0.9486873050515506,1.0348626418345237,0.9716846573597505,0.9456610789337444,1.100063248966704,1.0490971412031525,1.0620543609183044,1.1773939640628326,1.2330723568043296,1.3197542158497655,1.4371320330728765,1.4603508647916754,1.4896189311084367,1.4255771695308976,1.6840419788813485,1.6177678347898634,1.610372166539813,1.39880166428758,1.2641582484286227,1.2471186111617703,1.430696478323664,1.4668876983556456,1.2530193457750285,1.399789427069353,1.52957264937978,1.3593012874250114,1.3459211160249385,1.5317582135484018,1.5971148964211184,1.3863668897122328,1.4724398898922326,1.8847994643876078,1.8627760313764814,1.883208685600419,2.142743263985952,2.2144306314309063,2.239610438283813,2.2625131340074076,2.038205890932929,2.0825591754960837,2.3246295565759287,2.228483221444231,2.173494996480487,2.0317933497855862,1.4974144388177701,1.3545921189237669,0.9730621156435483,1.087659271194204,1.3622840850562692,1.2002566183811827,1.396324426235927,1.1409375517185074,1.2009154195433802,1.6147660753369135,1.4390214209569439,1.179076716534203,1.5837715275381434,1.8171324002390892,1.7133182025954694,1.6098342383147553,2.823551037639477,2.8247585226957366],[1.084446462419046,1.081896057795868,1.1843284698086272,0.9651100888818134,0.8539932485014379,1.051636050815701,0.8712217547792414,0.8772810063717824,0.8654136294389269,0.7989685970663891,0.8012122377062836,0.8965000528134903,0.8288719151380068,0.7564693366760448,0.7899180410019706,0.851889976789335,0.8561449532920035,0.897262145134182,1.0630388613271993,1.0761096181388567,1.1549867907437508,1.3353406223649285,1.4722615639390582,1.515437256614616,1.3987043558585317,1.1912494819433164,1.1375753494739682,1.0179160557675828,0.9845319403244122,0.9509173481244234,0.9186411851705013,0.9384776128104452,0.9454904428164719,0.9914226226895079,1.0092321906989075,1.0353562986242932,1.061942098823331,1.147119413984943,1.192528128079144,1.3491497241352213,1.4005370867131444,1.2284727389664414,1.3756367302028816,1.4459412540790753,1.6600720160097406,1.9552790140702427,2.2310626867658616,1.7749032938549816,1.7329563670831136,2.4415297755413707,1.8490079622736602,1.8378139701844978,1.6803495093857461,1.4947164334558516,1.5599019110020413,1.5193811471671776,1.5442945084232427,1.4241299919931691,1.4976280077542379,1.8405328704194814,1.4777628427043248,1.3112577179321008,1.1996660016810294,1.2895294983179442,1.2742896456711945,1.2145439411545127,1.11500329566869,0.9847332387665488,1.0216020592257757,0.9714698927758864,0.9368743178344493,1.170303776083314,0.9854308427580836,1.081339092792366,0.9489043158573152,1.1182480941935737,1.078672846340046,1.0487951217716713,1.1358360701821728,1.242807590854255,1.2667966514617943,1.3161246408685803,1.3949017995423225,1.5848943457394113,1.4563501986001797,1.2424536990934938,1.2309360122573731,1.1985847096675628,1.090554904756463,1.0936031270158422,1.0089576820216763,1.0610653582602427,0.9334418841471285,0.8696731854422984,0.8276664666604118,0.8391931436115987,0.919214896335123,0.8375973132860755,0.8359255866251917,0.9127552379418755,0.8762098906700798,0.9036438058735148,0.9991284380022256,0.9690080101960071,1.263988048642042,1.051659284101294,1.1359862670654224,1.1780846752114307,0.9627618308999268,0.9267281986299053,0.8377646074135274,0.9038548529674876,0.8219605802017287,0.8731833522493144,0.8363908396970801,0.8763126154423138,0.9924932086875631,0.9343616823411784,1.01861203932344,0.8875882054506932,0.8682017512547539,0.8328975505338074,0.8495298097034393,0.7695474928932456,0.7777180325749279,0.820915033301123,0.8136847770157412,0.9416204115311751,1.0424140086003844,1.1948158372638347,1.3695272396849156,1.5061883241894178,1.6291052638440693,1.4539730180137758,1.467399114508577,1.3863692204616416,1.2938510188695094,1.1367584739940644,0.9705852456798953,1.0570410715302878,0.9925482780762751,1.1594958723874966,1.0426723728696095,1.0569957400420922,1.12937666254316,1.0482407370074647,1.019849760499261,0.9213459092391881,0.8991069578574596,0.8194648966414988,0.8390230227265624,0.8499469993595729,0.9863137884023989,1.344896847109796,1.0678420071314747,0.8665019758232888,0.8457103854646307,0.862422704756544,0.9109986777044506,0.9417828377203428,1.0587024439965236,1.1236682292447044,1.1768795670048873,1.2920812928511565,1.5181032830766459,1.3470887362763013,1.673616300613673,1.8937535846632911,1.8998480699678704,1.6964978867307525,1.5395399770291631,1.298932630550632,1.3665281420224302,1.3095759758940604,1.2191068406546706,1.1380166152174103,1.0847016402709495,1.162050259234218,1.2479029309588283,1.2953335664340038,1.574226669445934,1.2523371801698462,1.5151835817004413,1.7021706166093458,1.6020984830012783,1.6138165673387879,1.4538750803432523,1.6115091206433967,2.4106053892305264,1.9716183592609464,2.303706150121621,1.9170756624181255,2.090509680420699,2.02487445126812,1.9177621881592826,1.8273906499719137,1.6849461891924256,1.5956953130535976,1.2374265720164075,1.1295029744201794,0.8810166343126257,0.7670265071945189,0.7484848430207037,0.6833070127940742,0.6879510976125602,0.7722506957227688,0.9770586665917104,0.9574837951543527,0.917758406398691,1.2127664084266108,1.3914658433709288,1.335587492212144,1.3353297120736547,1.6597821465030027,1.700263866108535,1.6736493878286858,1.4999174452098105,1.4923876465964054,1.2013563795069595,1.1917767565943633,1.0431441415084748,1.4184131340537618,1.0660651431403945,1.1991255820570217,1.1473636086096313,0.9666588283441319,1.0241026600547452,1.1468984641891422,1.1621661948147894,1.1023376116482728,1.2076868226102317,1.4202798834572194,1.278678282411696,1.2691159895607527,1.6558945187127883,1.6230994149960918,1.3577310940316205,1.743553874092383,1.1531525747640217,1.36542644011244,1.2588508125071862,1.0102500514045696,1.0935827861493017,0.9808359702124418,0.984745984098665,0.9175905453283709,0.813557709277794,0.7941193832962031,0.8302344035005926,0.7239272163551921,0.7394833933708892,0.8245338902878273,0.858567308108972,0.8897960492854982,0.9199041792517509,0.9837428252467647,1.1090695942626398,1.03988219256568,1.0062029657010179,0.815600788512629,0.7576397209566027,0.798856303830947,0.8465651743357646,0.8403530300509228,0.7759832917077053,0.86114222707216,0.9297776149067789,0.8122319796447925,0.9371446625307599,1.031826976794695,1.0042498271774292,0.9893707001228255,1.15682754369349,1.58617375554493,1.4617366280182325,1.3350856572851453,1.8301735554210852,1.9267221482298886,1.8745663174955172,1.946671378319207,1.5099861401321883,1.624299684746123,2.070397085236269,1.7992963520511271,1.7084450795700419,1.1761682065298291,0.7563266723551659,0.687933290691604,0.878406492153227,0.805933894030024,0.794625568976793,0.7558820822459797,0.8101138646966607,0.8044256490452157,0.7866847354912477,1.016043622624076,0.9129399437479233,0.875089906381553,1.0590566667176704,1.349713271747851,1.2912464297469972,1.3251948537767497,2.3800608798937835,2.908402091109872],[0.9399473128768335,0.9446064784927696,1.0674795798795687,0.7983025113429786,0.8447492465334355,0.9545577550036927,0.8507199963269784,0.9008425339960431,0.8440765618330264,0.7974378228129702,0.7970405293749064,0.9461471482820542,0.8826292980674588,0.7608411775270422,0.8193189682173876,0.9118090820052034,0.9013377922518943,0.9239091954408739,1.0577987893694714,1.0837468103467072,1.1457934368969043,1.3346663420371945,1.4534901209664224,1.490535917617131,1.3826422460242909,1.172022624204719,1.1382681437551008,1.0313859974821413,1.026723986842931,1.0284235207366892,0.9707332162238486,1.0365961764736555,1.0455657738166741,1.0708066822814075,1.096805180444501,1.1003408857594972,1.160844249349006,1.197427526635941,1.2345128108698897,1.3976328033812393,1.4048624425859275,1.239396553182447,1.3986840494597712,1.4508413669435583,1.6507077790087756,1.9354292380402116,2.216391334289541,1.7841482239183297,1.7203741681192994,2.4132113527654933,1.882122847135244,1.8583878599039754,1.7299452859481028,1.524310959986683,1.616396970421224,1.5568238699675498,1.5656456830589012,1.4719232634219268,1.5443533240847125,1.8469839629786642,1.5003308666850643,1.3365429468596717,1.2377146461038455,1.3007191649366787,1.2834967196600866,1.2358861800562817,1.1143878798611055,0.9960865197538972,1.0002637326759873,0.9503504618910608,0.9109580221117657,1.1421472985683094,0.9694395284692241,1.0666313329235786,0.9559511827055567,1.1369831403613275,1.112069832018583,1.0965896998822833,1.1987043549661642,1.29667721711128,1.3527876716284175,1.3963440209544955,1.4959261203027738,1.6746326477188898,1.5234408239366326,1.3285442603993447,1.2921191205940374,1.2869530208467248,1.1504363812316034,1.1756303932745922,1.064579962929178,1.0995882188193173,0.9716951818002174,0.9353782121205418,0.8841221286978695,0.8729044210792095,0.9357451652007164,0.9002609402500278,0.9145515848938558,1.0159716785720037,1.000052554224667,1.0600515866830476,1.154985356496607,1.1479867293436912,1.427647344107487,1.2317156751500367,1.3634485527281024,1.3857680445117566,1.198861205593873,1.1665588059733274,1.0256782581841144,1.0525270851106632,0.9186784459525935,0.9662751440405325,0.8832852765545914,0.894354381375325,0.9890315760014483,0.9020970528237118,0.9851070217757925,0.883918348473415,0.8445037916562854,0.8334238531240953,0.8288947491293032,0.7688917827803999,0.7740701839360778,0.8995082965679556,0.9910811505841506,1.0838484415171161,1.2601609223243995,1.3680661951562867,1.5691639876415029,1.7014906723561942,1.734919816776616,1.598155674703992,1.5533327562140418,1.4730354363896838,1.3780582049608985,1.1670131323205821,0.9714851657574154,1.0572161141422984,0.9399535068076901,1.1149496260077,1.0159903032290085,1.0559849605748235,1.1454866217873743,1.0909956728093544,1.0623121297101747,1.0098307667228776,1.0204718052659003,0.907764809468864,0.9778060584801681,0.9217622539036041,1.0835646587971723,1.388530996794936,1.12925797365882,0.9808765662307178,0.9491043804160569,1.0128372997340012,1.0399826173532,1.1083421413713475,1.1712719546954384,1.205918440483028,1.2102817002873072,1.3388167781878564,1.5446795894251208,1.3170354691407338,1.6589596205302075,1.839400354215222,1.8301463606801982,1.642146094382399,1.5316564350559816,1.3211130851664854,1.424000752753441,1.3944099954373745,1.321370171599636,1.2783486414162204,1.2110319442060136,1.305088761690097,1.361529146776572,1.4271410361315076,1.6591549799747702,1.3931683413693636,1.6296776357209948,1.785895079406261,1.663892848802525,1.6573235924720098,1.48109901312115,1.6273457583020037,2.3652560176220194,1.9474891868260378,2.2802092983970814,1.9178233569940426,2.0874251332980864,2.0383200843115885,1.989825839525561,1.9591645105029971,1.8383907758341653,1.8454587198046046,1.531115012258421,1.4043080121180371,1.1173262654855984,0.994150101818926,0.9910804153707797,0.8266338145730319,0.7710891330400872,0.8085405293977926,0.8848941614976538,0.8577661825958676,0.8613550628110742,1.1158108851568724,1.2985876882789575,1.257371165787747,1.276568213098409,1.6151721863922721,1.6809596533445894,1.635799019234785,1.4405478430175396,1.448416134786495,1.0858848447440987,1.0894528273792867,0.9082707552554903,1.273466462035224,0.9628946143199288,1.108512504423722,1.0993006795213944,1.026032107997627,1.1505364745351039,1.3000947598268935,1.2974147675215193,1.227268962225531,1.39059081361092,1.6375957281737241,1.4545763873658553,1.5080020429254926,1.883115812021728,1.869970190708053,1.5743306981366576,1.9748876006532359,1.4232114432506293,1.6014446484510219,1.4830110882016339,1.1911004132066743,1.2806012083029867,1.1383857890837425,1.1766678245367754,1.1217446080704547,0.9535586612277224,0.9333844813755472,0.9734572179552363,0.8339671522925015,0.8103727093590081,0.8450963444571715,0.8524482305566532,0.8758163718855736,0.9055668944271358,0.9864600221520496,1.0452438169837077,0.988485077619839,0.9340961374979828,0.77136648741543,0.7829468126958185,0.8299808139518488,0.7767658529984585,0.770235356874359,0.8112350101710922,0.7614808386094088,0.7949018736034194,0.7728758841187404,0.9160967757177447,0.8831736795899177,0.817052158112128,0.9845041650351548,1.0899931482332952,1.4354743939247452,1.2651295487381868,1.1124905291491765,1.7453262509356409,2.0094961838509295,1.9593601486681362,1.9853297760763962,1.410951396927178,1.5076105088260419,1.978546790322415,1.6555159561390387,1.656766314238731,0.6499494439211789,0.737987516191926,0.9105893813697036,1.2027994493965781,1.0235369009463888,0.8823474646058385,0.9227598001629618,0.9035485055774555,0.9561375568854027,0.8965671751740094,0.9924649823272375,0.9509061288584277,0.9472576306300302,0.9852872924801551,1.3192512513436885,1.3278606503334043,1.5058229675467503,2.5808441579322428,3.4237921114544108],[0.8633933574264483,0.8749088417107883,1.0004781971035017,0.9237528864577127,1.325799758834084,1.1248446983600862,1.2058645773040275,1.2689117888894943,1.1611368490847156,1.1959413869702893,1.1699798469632063,1.342492863182341,1.3540205430748635,1.1770354989879066,1.2586076996713806,1.3846959145197777,1.364310456198051,1.3572801781778179,1.3776116877712206,1.4547439715894652,1.4488269258907076,1.6085538073486658,1.5940853494652643,1.6654907125449694,1.5814124726920866,1.4531428503708077,1.4887033148620654,1.4393299453592348,1.475101854567453,1.5190401954883146,1.419726661544302,1.5368045229290703,1.5242459568522988,1.5465924123382147,1.5842059577206764,1.554757791746505,1.6667365764010689,1.6180664695642002,1.6518908188221266,1.7854112233228527,1.754104859438406,1.5690108284403752,1.719622657280465,1.708934935059379,1.8065643575905674,2.0400101585230104,2.3188643610632065,1.9643233185900972,1.9359929671898553,2.5860024727819706,2.049971759078287,2.0290537131665087,1.9663671522522843,1.871702757081366,1.9431985872863895,1.847477268511896,1.8453682882592464,1.838222452110053,1.885985182628634,2.076026223531797,1.794142812656133,1.6792361924756127,1.6326408212566792,1.6182433662983025,1.5849112351146621,1.5932110214121527,1.4522502845974827,1.3654700543331582,1.2647770910922582,1.2444619741062668,1.1497075891883717,1.3324932121219597,1.2625939350546214,1.3413374523318367,1.3226604676703866,1.501064189610362,1.4868956630434473,1.5134068063677304,1.6332731990042832,1.7309655072133872,1.8035343695263393,1.8137796964990913,1.930653509587636,2.1141771573581707,1.975108170065363,1.8063925556789622,1.7190553074177681,1.78358991447679,1.5965196009019678,1.638065175506436,1.49573121689243,1.4886701288520978,1.3880194394869823,1.3940526317058957,1.3407065111709549,1.286412953448513,1.2985325598741995,1.3518623413417885,1.382136078050499,1.4867200153153999,1.5208679700119758,1.5766726281238783,1.6880928800859516,1.680702783807183,1.9710942056879577,1.8085190509065332,1.921426199308711,1.9101568874180865,1.8004571498440662,1.7944910358152257,1.662987392921354,1.6567515535406987,1.4398883133544778,1.5182769987921445,1.3561652654563965,1.3511917300258796,1.3700566812799022,1.2347539591203431,1.2639897140761436,1.2652418059469726,1.1862054630787766,1.2243443505175609,1.1819072076670396,1.187388791741573,1.195227026909478,1.4527693637941552,1.6727817715776814,1.7382643812564345,1.9366867349493035,1.9662562644561175,2.1273714944005584,2.1776300421433694,2.1627314973004474,2.08921971238786,2.062482035273345,2.0605100989408434,2.0060601833034006,1.7121898299568807,1.4207860421814464,1.4852318933292286,1.2040651274004301,1.3777247412682816,1.368312467673113,1.4536820505765555,1.5601585717760444,1.5510582941790072,1.5247668880131093,1.5399279980086773,1.5780690012430088,1.4236597520129795,1.517011248472253,1.3601890735116355,1.4753635716873268,1.5764803492394932,1.4783609552076526,1.4738934072661425,1.4488718394696687,1.551216349113704,1.5641354048489327,1.6693890471318924,1.7245094304940274,1.7125560847232513,1.6725848097577127,1.7828783695197676,1.9090175362090822,1.6423504054024733,1.976546060663176,2.0589359020862306,2.0959997855889996,1.9972062315946655,1.9455391021973,1.7803860031265373,1.8894983945595805,1.8942642175414153,1.8434859520587572,1.81750795277105,1.7484945834468508,1.8189398303088846,1.866005488743676,1.919841429295849,2.1161029962295315,1.9239652752884682,2.0634026266933545,2.145844485220829,2.0429445311172785,1.9992110861301504,1.848600568762227,1.9236571689049085,2.6180236525197693,2.199396993930888,2.505661438935914,2.1892871279689743,2.3456165926025183,2.324580541876555,2.27642985024853,2.190769700149273,2.2017787571193224,2.233067609039824,2.0034525150076004,1.9714059578266503,1.5988249686302376,1.5239518794226838,1.597051335082508,1.3334188578159376,1.1521900401559304,1.1701827760933674,1.037066317527079,0.8697046091392396,0.929172314946744,1.0136041300016223,1.0067958791824372,0.98242248893631,1.09680041061435,1.3550553351792016,1.360039160364285,1.243439985679988,1.101778175220052,0.993760007114656,0.6894830246725944,0.7284643586036107,0.6537372331073809,1.0603995829240729,0.8684328963835387,1.3320096722193473,1.2020852061656133,1.2061458427346643,1.4480507134211933,1.5098438597194137,1.4609170466912877,1.4234152639195041,1.6909603969627767,1.8201129154813092,1.6993972204477774,1.7636786633555916,2.0067020434955958,2.003009965458418,1.769769129079706,2.096304936320778,1.7740236252287054,2.00706509111862,1.8612343946923835,1.6149290681565704,1.7468156381469082,1.5214979336060461,1.6179974754337254,1.6067880438891793,1.3492403470449588,1.390922457642548,1.4698285420170834,1.247892555272352,1.1450817305203127,1.162462451867838,1.0509806633454413,0.9556401512201839,0.9511005195172784,1.1695682412711734,0.9178297539388132,0.8594075545692894,0.8016506099897612,0.8487536540040218,1.0556697567892257,1.0219903498321392,0.7709276821043436,0.8405294305920944,1.0620370353637936,0.8272127058818994,0.7180381491735506,1.0042019088880871,1.0481410930344615,0.8192460215329795,0.7352653020032648,1.2196098371372592,1.1582139768070034,1.3973388157436075,1.206047897851392,0.7365053902125458,1.4956749031219836,1.6011229192994003,1.4732625715115006,1.494643646323601,0.8737708233195716,1.1500038285232803,1.595246581855132,0.9710579402414526,0.65027471415721,0.9841981862470965,1.2523126314764412,1.6601745830968286,1.8779648559862143,1.741021695232037,1.39872990929455,1.4815637219608064,1.263467245016844,1.4322848448085796,1.4554454158841397,1.1078423436740095,1.1225186822426492,1.425026895795025,1.0058702686933612,1.2339539387701808,1.1669848474996611,1.6019799695757908,2.2508296321019596,3.6682764293044894],[1.0503302259233325,1.0316242688596102,1.0090802661270701,0.8645235826154032,1.0094015329366186,0.886106161690347,0.8320410406418224,0.8742543913337937,0.7828882232316566,0.7119433394497466,0.6937262177319451,0.8453631539524831,0.7605238372599423,0.6321110368415856,0.6659763658072149,0.7000401986468546,0.6643652302199532,0.6386247208514995,0.7227127476505986,0.7216755511218428,0.7922602880351872,0.9314822299119663,1.0892078201985023,1.234940619026517,1.120871491375212,0.8653083828373003,0.7442778129265294,0.6937487873662803,0.6969694399976759,0.7576735001553321,0.6990084478673437,0.8082949432525544,0.8105654091478038,0.7834300717460362,0.7867682466096994,0.7608041205598525,0.8414559193285284,0.8353900320471953,0.8101282282068373,0.9312035389450135,0.9812349567129561,0.814605879208288,0.9120397162124153,0.9799780658927445,1.258165661253023,1.5903445526732771,2.0205589245587214,1.3848435213402361,1.4041449724940036,2.2381162630340894,1.5217015831680398,1.533770397056283,1.2439536882829214,1.0709037485848654,1.1749504921027198,1.0939355265918165,1.1113104023871365,0.9769016167781829,1.035806412082497,1.5376123482683333,1.0387625260566302,0.8988319453476705,0.8155057511612309,0.8819332993943579,0.8621202696952698,0.8301790688046968,0.7978496331194526,0.6683899312271042,0.7591909721747432,0.7890883628521652,0.818042751130654,1.1315774538949215,0.8185157156945309,0.9065240094150061,0.6787011044574335,0.9990131413801837,0.7332141782926926,0.7412550502433937,0.7989576739791909,0.877607515675933,0.9099836111060244,0.9296509493995395,1.1258111623146185,1.2715602798141417,1.1227100849427232,0.908490383469041,0.8511472543630251,0.939137048982358,0.7639947945535298,0.849479422840763,0.7297277271013959,0.8378691200005846,0.7420664490141388,0.6805116430280724,0.6705924390592177,0.7313068624844494,0.8310883066033331,0.7614065633918041,0.812649379419921,0.9658825406256836,0.874244169277922,1.0065284349444137,0.9607285338983022,1.0122004826089603,1.2827901842734615,1.1127235482550668,1.2919956002262916,1.3013792957460233,1.233254791347351,1.202250366995921,1.1157766920085592,0.9860702555791638,0.8552288596811134,0.8138806687741242,0.7100896354371895,0.6888786433908386,0.7438511455438431,0.65318790623798,0.7349110165519197,0.6319194989995089,0.6467128870356338,0.6582055900903658,0.652719097462993,0.6122766922823211,0.6770201034583154,0.7840095105785622,1.0940731573351148,1.062005960349946,1.2204779304185787,1.2207146080827365,1.4167425946523016,1.5211338922040731,1.421328562476757,1.3178584663999389,1.2501869557469498,1.2549546042756623,1.2143510929674555,0.9887378126194486,0.7385474902234994,0.7484723252033095,0.6720163869017487,0.8990037170200107,0.6935867543977046,0.7017613029910155,0.7416844216181,0.7553728167268826,0.7600897808123225,0.7957152463405579,0.8555837021525656,0.8183177582042727,0.955950593053891,0.9061980657975555,1.1009600872787582,1.3155754067612395,1.1354688877758823,0.9629171071107534,0.8762673233816216,0.9338537340693485,0.8680455874416533,0.9651762887985964,0.9169387407398952,0.8796514887171692,0.8323667310979944,0.9038893263924507,1.0740790914195981,0.9338479649723884,1.1834221183514166,1.3853822024986258,1.4144019732537008,1.2363063489240418,1.1289928542119183,0.9553860280967699,1.0247760019319936,1.0366874553750822,0.9906305716842446,0.9952206599337476,0.9617737580217649,1.0143147968754622,1.013314124255453,1.0789306220540456,1.2940133872074355,1.1002447476471657,1.2443521490381073,1.3559908656939388,1.2246940141620188,1.1903696864508986,1.0185997353174217,1.16403028673288,2.0749040557237586,1.526154416848415,1.9146322638748263,1.4807896265379523,1.6688528121211104,1.650555408044225,1.6120527267703162,1.6334483544357459,1.5788707028740043,1.7212394547887409,1.6046536418753745,1.5380234059913322,1.3981348685687238,1.281186324411134,1.2712933893229077,1.259654730442086,1.1847188917781764,1.1356013350700123,1.1181508812773648,1.1022249486666063,1.0671827465394805,1.0722893551551542,1.069277072077874,1.05596463324402,1.1195730661060357,1.2608242340389562,1.191419874902363,1.1097169836145115,1.098144254866841,0.963682947473466,0.9810242160072578,0.9938325793820174,1.0238422336536401,1.2538014767879053,1.2242354842262337,1.6187384177663104,1.4039917922347096,1.3188974519303962,1.4260941690022637,1.511516299501652,1.5755205606205218,1.4536733119535417,1.6076333063308061,1.8162720132923844,1.7261882564876418,1.6522792840401,1.8536053940948771,1.9735502433718266,1.761947791422505,1.8325871673482599,1.5714244208193475,1.6308780467087816,1.584359678890096,1.4546202054825668,1.5210985064063627,1.378802455295632,1.3667681243543814,1.3722945203116097,1.2797705303312763,1.23444773693694,1.2398589070296486,1.1881466782923478,1.1314564007531194,1.1272520130436252,1.0756743780459115,1.0888893522578769,1.0464196610497463,1.2801950491344751,1.0459639546535928,1.044367477855475,1.0242512434878523,1.076696586131894,1.174822758425779,1.2063990702034473,1.0825419022440586,1.1050984394086079,1.2378849235915343,1.1607581134299452,1.0933721661355023,1.2441964513468293,1.2991941416322847,1.1874620913785674,1.1449015229692172,1.4102430746984553,1.4229326566168907,1.650243349954561,1.418482913974702,1.1028392663434907,1.5169094503185347,1.2832470241699787,1.0249181297142054,1.0141620335368349,0.9801900363911893,1.118060557170951,1.1836375446982106,1.0212376893425228,1.021166965922815,1.2377390141294442,1.3427534922932816,1.339347109351945,1.4063570904669151,1.1935310337059537,1.120782147299059,1.1518218285371327,1.0633890176040415,1.122582979107911,1.2066725494511836,1.0106321746383042,1.0031868403828412,1.2218409359135285,0.918093083604411,1.2533034913454089,1.117849720933787,1.7201131922034434,2.079011846071936,3.918630500122257],[0.6060601933290023,0.5870472122619432,0.6165485095251116,0.441851982895913,0.5819972441410792,0.6073164380069759,0.6003355964211972,0.6365597532700558,0.5869460001164278,0.5396174753111556,0.5442280329197922,0.6132886719530628,0.5545625216663531,0.5054976585491988,0.5213279059255297,0.5238675164795751,0.548364539733173,0.5454657233801317,0.6512184754070178,0.6219766460961974,0.6834213888800116,0.811286191348625,0.9561051304405715,1.091478636855131,1.0078380228218984,0.7862846978378625,0.6788583133059624,0.6029912514671665,0.5800806084692445,0.5653737308954865,0.5396900018695175,0.5866241453563981,0.581528250985794,0.5961563767777895,0.5904912762819015,0.5966004836698767,0.6380149380356794,0.7115332702642317,0.6768161684141653,0.8154220385480923,0.928399094651806,0.7345478030434779,0.8395734959775855,0.923476119650477,1.1841057875368122,1.584801379805741,2.005359041134534,1.322980756643794,1.4636678920884367,2.2817485415755785,1.4332647039356419,1.4030672751146316,1.1647182369874285,1.0297980787723457,1.100141744237753,0.9950682667268304,1.0303059106793901,0.8925315792882652,0.9514519417682752,1.4654515672491757,0.9566381213816233,0.81858443267819,0.7274344466718387,0.8034397166645393,0.7774063237186003,0.745691818910558,0.697560564611304,0.5757358575074771,0.6985189743579956,0.7356877328410047,0.786565434977298,1.1019514114630071,0.7973182454600131,0.861278884244011,0.5894845367600073,0.9684622286082625,0.6156828361895131,0.5864701776308661,0.6323485527439874,0.7464469724056004,0.7307257750283787,0.7702765477028523,0.9883807296486901,1.0904334381536436,1.007517107369824,0.7442381502737005,0.7083460974283957,0.7557567615087163,0.6162513796708317,0.6751624148690079,0.5751773031043683,0.7303168675944169,0.6236492904588709,0.5097854184225272,0.5011076367522279,0.6061896995932974,0.7055489490888045,0.5679759535386814,0.5695082723266343,0.6884394423317628,0.6058562092925162,0.6889608185483769,0.6618262069911607,0.692139131028115,0.9431527649177469,0.7507508262590504,0.8715502838481579,0.9223532036179647,0.8070697655977002,0.7580995079022765,0.6899114755932775,0.6590609377760968,0.5771241244555495,0.6015780765585124,0.5519911339929163,0.5755962231912735,0.65295614848185,0.5779641026502975,0.67281261562547,0.5471965243198698,0.5673610540570051,0.5684007357760986,0.5887571474682843,0.5153018918408313,0.5231793007508746,0.5951467354825715,0.6856695481193794,0.755255367669787,0.8600306666736394,0.9107521474303808,1.1256054437455174,1.1949742916799746,1.200490604325995,1.0391879572729668,1.094128897839333,1.1219830056654998,1.119858414802968,0.9495795831048436,0.6821263141563684,0.6766443450260952,0.6104998524501568,0.8196214841370418,0.6141330907735815,0.6243066141422879,0.6632327926012698,0.6212714953512016,0.6195500994372731,0.6178064138348294,0.603880043598483,0.5733342415309537,0.5983836036864394,0.6598069922180032,0.87878815501282,1.2236046227803463,0.9955004697207773,0.6764004210873431,0.6003865285274054,0.5950808569803162,0.6024208878057922,0.6635687513110021,0.709243047188309,0.7072846627659114,0.7311258512876649,0.7903811068344803,0.9624580821189677,0.9504670657448937,1.168169360869172,1.4501930855976548,1.4742627334413587,1.3289272275247332,1.1124792121156981,0.9096802086404999,0.9180392788619752,0.8638148693087224,0.7781849686066897,0.7178576286276175,0.7140050933588242,0.7597525910849469,0.7937373678652632,0.8260798411711502,1.0985883934707736,0.8289402947845995,1.0238107601114412,1.1788985697381928,1.1016350068784668,1.0868040869658713,0.9589720990905237,1.185642353179093,2.1880316751645337,1.6015895395526578,1.9005214892294922,1.4404343838253422,1.6545005000660704,1.6053918700521548,1.4426239808094623,1.3852911276698479,1.326268646046514,1.3366570350753888,1.151852818675458,1.10447026373137,0.8897776792142285,0.7319463572168114,0.7362653000403994,0.739972896309608,0.6539519948850365,0.6245141591549269,0.6172032277550324,0.6162624173261754,0.6079539413613987,0.716871714729154,0.7733979834158021,0.7897341050195513,0.8799983220436616,1.0569211780215733,1.0363545410416974,0.9170838762099656,0.9799424648305228,0.7797842372575851,0.6912180671811241,0.7051025273548299,0.71076393044905,1.078635015658193,0.8974733683950336,1.361923983796758,0.9358912286485634,0.8554102863662486,1.026448888714018,1.098013405812638,1.17715207855115,1.0359121970744556,1.1424867288241303,1.319822848449841,1.3059905116150974,1.1878508279470095,1.512797583314616,1.6315844959674262,1.3844428962601247,1.639398671341964,1.1293937533764133,1.181257153825994,1.1014006692035583,0.9576204652933658,1.0141531507897084,0.8678698065505457,0.8805804926174885,0.8555987077088042,0.7543266848923335,0.7362373141976574,0.7672334374730575,0.6731173986763364,0.6662554497594498,0.7827100608250666,0.6759694458857954,0.6559352709058268,0.7117724393662531,0.9737390980503627,0.7511135355060624,0.7111684463940543,0.645649137137693,0.6214257029597148,0.6536391479910701,0.6588511349609775,0.6593935382681607,0.6241547338020996,0.7395333913247626,0.7157303705053828,0.6720699759128798,0.764467416373662,0.9056052860287158,0.8729640234834745,0.78553576357201,1.0436904627926553,1.0739660732986824,1.3646614352493405,1.1512850770288932,0.8477715942573292,1.342328965496834,1.2444612872103102,0.9283723315523811,0.8737117813942069,0.6625770334186302,0.7903560652221834,0.9606304135343037,0.6503088833018209,0.8291818591733354,1.0035062377552004,0.9142777623341197,0.8612654492387823,0.9548039683136083,0.7822346476065365,0.6307023528238809,0.6750792182455319,0.5967915297670646,0.7312696115264188,0.7775527674772373,0.5855547143749367,0.5578033715789787,0.830278915621083,0.5001600247405967,1.0365199575246284,0.8683732678687536,1.232103239277273,1.4753867553658595,2.967068305567644],[0.6229080564255377,0.6064430081030121,0.5367152466372079,0.43157787580544144,0.5782841900538551,0.4867712085938237,0.5077274908241663,0.5453760638109934,0.5056146180545906,0.4522041641894368,0.46978438499540076,0.5358254980409554,0.45830889353607235,0.43851827375182645,0.4525012097186054,0.42665864693488814,0.43543576461865874,0.4376149818927885,0.5500759717156325,0.5228574929273309,0.598306452896894,0.7053563695823059,0.8841407402972878,1.067973786633103,0.9631887719718204,0.7176593537684413,0.5676280931042148,0.47745308777940676,0.4548005263806071,0.43837282933462207,0.4334257709328323,0.46884744750825985,0.47823338780488145,0.4835511854790543,0.4583472879339621,0.46568613612732995,0.5091333001568694,0.5562795802613621,0.5202746378985985,0.666593313988127,0.82831354119576,0.6200786194400099,0.7018469513794474,0.8176065989921644,1.0948348659675287,1.5195278508681744,1.975814277304281,1.2180271917914016,1.4303300657193418,2.2432332874369694,1.3624083682584183,1.3661352643703955,1.025247953942515,0.8981187667472729,0.951250748839025,0.8484832944078083,0.8984921378144177,0.7298205479004022,0.7860711725253519,1.426484853593044,0.822350704005214,0.6923244556819205,0.5878707677784032,0.662926338765152,0.6634586885415314,0.6185651609959157,0.6091524820368979,0.5058564874465246,0.6686106580876738,0.6981800763415312,0.7812688120202913,1.1254431533003744,0.7768871104398313,0.8567004730444806,0.5351485018834451,0.9696450432479813,0.5191464263682255,0.49431633579578815,0.493190797325254,0.6105641428765091,0.5766008067682392,0.6148011173996506,0.9041805248126779,0.9227926298759322,0.8845034112476442,0.5861494091257085,0.5630710039381361,0.6364579693641852,0.4880427739946747,0.5580398848603781,0.4720999335947961,0.6901598030261761,0.565591835693869,0.4328685732016281,0.42506340387781427,0.568177878475124,0.6540277745885297,0.5001950776279654,0.5027718203182988,0.651544630104801,0.5164579484088611,0.6283166677128248,0.538478068201405,0.6100137443277108,0.8681805641322207,0.6831992033390323,0.8286199824688715,0.8913015442815718,0.7937819834898949,0.7320749708469386,0.6524373836114039,0.5716835875148653,0.4790218839482805,0.47758889177608654,0.42799955331676903,0.46034564453412125,0.5609649760718219,0.4785852172214431,0.6107686287249912,0.4669562088497515,0.5154650057829296,0.5017661209561073,0.5048340743458469,0.40811252172886026,0.41557537409813383,0.4858120456728953,0.6486752570046925,0.6846021751964096,0.8112883071155487,0.8449710778149319,1.0780857669867905,1.1512718924857295,1.129480314090397,0.9591063535568405,1.009980315911493,1.032049055113895,1.0509180819883752,0.8543379304467986,0.5916999293938221,0.5733327667140752,0.5586759392121202,0.7667330546771073,0.5155680611042763,0.4888425092727182,0.519459193682075,0.47708209361332965,0.4785554149564168,0.4958539003413516,0.4759434661819307,0.48740167870268036,0.5154787943310902,0.6082183452056372,0.8598792645900627,1.2617896485662974,1.0388673627835114,0.6257159317927543,0.5193233534808417,0.500892916620148,0.47943808140345606,0.570983412519963,0.5766039910185161,0.5574658695834834,0.5865631073829705,0.6355767623473191,0.8191054037820266,0.864819306188264,1.0607911833122021,1.375441371056249,1.4047606229110812,1.2305796144468308,1.009786966421401,0.7879747646814739,0.7906858057020858,0.7326479862141089,0.6395096164159693,0.5863873249732833,0.5628018112895173,0.641085269674365,0.6390272052441749,0.6929560288863322,0.9706127549035446,0.7220729604766393,0.9147061820328618,1.0674117635165024,0.9893401256399857,0.9658120610929797,0.8265017531328662,1.0777728814058958,2.0583777478991867,1.505136768067908,1.8421019349023475,1.3642343879493912,1.5972987127841158,1.5574835834622933,1.3918417275183226,1.3437715022983585,1.290939954418765,1.333703855798859,1.209566175228453,1.1299110730814832,0.9684929714436011,0.7585967532805414,0.7715500220034153,0.854506703595281,0.7462069636920118,0.6644846226950558,0.7166216870296384,0.7097931392824963,0.6199091537317418,0.6496762817541742,0.6987319644197295,0.7223256545001371,0.8090741211404551,0.9439606988256696,0.9379418397934263,0.8597999858084077,0.9916087260081098,0.8445668985059203,0.7990925261672234,0.7831509856770412,0.8609445874072702,1.174131127883737,1.1234374944719228,1.5265363531819487,1.0646024692980005,0.9745241887790966,1.1107767763777072,1.1870589023311058,1.3012496632498736,1.1324842391801762,1.2473958003309151,1.4420491790295422,1.4539344295147751,1.3085179706769732,1.5820263681604358,1.781469704354959,1.5346807730684286,1.6957281571030942,1.2326212073102745,1.2105596178137377,1.1337177160718201,1.0024819779293608,1.0122217140968797,0.8716040558619961,0.867565894446111,0.8591144257877292,0.7511278628057276,0.7287648133733834,0.7562419597707748,0.7019848559945776,0.6833342898401012,0.7875106307197234,0.6690676851685846,0.6636908375579138,0.7324170818463978,1.0037551144344898,0.7391289592625435,0.7271982096436336,0.6697853920468254,0.6867901799322105,0.7237656063669963,0.767687407710176,0.7677818492304741,0.7296431892654422,0.857588066317054,0.8773625428544053,0.8387659959809556,0.9438520162326858,1.0769404808514336,1.0936284106033483,1.0173535968096818,1.240517523446215,1.2984642024477184,1.6031115588127995,1.3619939598724515,1.1023930021442414,1.5111604376168641,1.3263316334554838,1.017142498593638,0.8743939817221603,0.7466830857522803,0.703551881183722,0.7796727797015272,0.8776862146938583,1.152873002948912,1.2204348791035784,1.0975650271236297,0.9728237381878375,0.999432338010743,0.7878196170415146,0.6523456020277091,0.6974273533694626,0.6333146800360033,0.7945341479412803,0.8162006173203963,0.5651322885251556,0.5660752849495158,0.8219870461638886,0.44764237607942137,1.011505433400914,0.8318684206778418,1.4158092555976773,1.4278868260249793,3.301479378438998],[0.49684481774866307,0.5239338196851095,0.5130856167681148,0.24369651406564233,0.4127231199656273,0.4903919963952709,0.5594470382939195,0.6009951459893375,0.6120460520786809,0.5364044741619407,0.5650853013052333,0.6088553786029209,0.516616232781693,0.5056900896600451,0.5243408709305578,0.4890142417555446,0.4542806504273907,0.4672163967330476,0.5480714247171556,0.5292634113381638,0.5722635493379522,0.6526065375818537,0.828622284410488,0.9770614728704983,0.9237843231399705,0.7144245591557808,0.5744387283602407,0.4817371293393018,0.4629348724034621,0.44161723472138376,0.491837355810966,0.4827691705471849,0.5182354567034132,0.5103121993408708,0.4672495501607805,0.4671175667075105,0.48059786002127686,0.53141683241913,0.4903534497899969,0.6033371288428843,0.7957248546295574,0.6123011290506087,0.6650174264760104,0.7742131232283206,1.0460611769783494,1.5591677669189008,1.9481578445839598,1.1486933889501434,1.492907703773893,2.3050658288579804,1.332769720381844,1.3351679773328733,0.9529729104413108,0.8294541306956803,0.9035807843367902,0.7586379009684221,0.8376479086995405,0.6785279368264483,0.7408175993424065,1.358895923766948,0.7901963062905392,0.6955955578915345,0.5826693558154824,0.6731638255759733,0.6467996634376165,0.6161450736727936,0.6234926373185338,0.5236321630588638,0.6749715411297882,0.7067769589282324,0.7910914253137217,1.0946410531905344,0.7999518770600589,0.8672619955205663,0.5570655159422584,0.998849910302696,0.5339987910826629,0.49608086780782684,0.48545470851960576,0.5932225892900918,0.5237631357249221,0.5590286060238381,0.876981103885408,0.7639096018600198,0.7933677061011829,0.518147923524233,0.5299331031579824,0.5832790764980031,0.4827317678892691,0.555210375413827,0.4980360349801869,0.718582879203361,0.6277606807075835,0.49823147074088897,0.49686444982350925,0.645109376991434,0.7294447088594997,0.5805420913063654,0.5805185591128159,0.7168728786267718,0.5440525218067911,0.6026673075083847,0.49089433388913833,0.544854776588948,0.7397017984902037,0.5444751847579468,0.6374237285995177,0.684948700006952,0.5825849089599829,0.5654428350836231,0.49228330529916425,0.460365861700758,0.45252158135377246,0.4269432381806466,0.4664062972461105,0.46903724171663647,0.5777819902999777,0.47966797306228237,0.578077900736907,0.4894231168537891,0.5263838721666386,0.5250312507215845,0.5096184315211509,0.44842758241093894,0.4567937626032321,0.4430979024594525,0.47456880926226436,0.5221013205090331,0.6073299633572965,0.6677543503622984,0.8529915217946351,0.8910702107410358,0.9224188171190433,0.760643568389142,0.8684849591178386,0.9254115351995232,0.938688100615159,0.7987596018272223,0.562081052558976,0.5501175879661317,0.5744378062305723,0.7248995720972695,0.501819798183763,0.4786029298011947,0.4956029163247093,0.47611007823223894,0.4739281404207934,0.4967165046173672,0.4376865777601887,0.5121573007705591,0.5047097806905447,0.6820767449857668,0.916109722959969,1.3440374077740402,1.1169955854449578,0.6761276340314565,0.5664373267507168,0.5044053835914166,0.47044284216708254,0.5132186621015277,0.501412865634462,0.5114329821691742,0.5417510564182304,0.5712614962152163,0.7188115168850334,0.8294604297436061,0.9650415735041539,1.2797462460090807,1.3015417679180863,1.1876117002466928,0.9245087890398833,0.7271064746276139,0.7076072199192022,0.630003172051861,0.537811919716815,0.4795513457785718,0.4988597708502898,0.5485134177034413,0.5399116843299295,0.5566338130249601,0.8248431078865914,0.5750769287232145,0.7442232156480946,0.867531818839123,0.8428182283746432,0.8355060319218174,0.7584876952824354,1.025128387843355,2.1150172661140028,1.3853958648948788,1.6465863891126125,1.2380297097664443,1.4525537860702464,1.4249839347280069,1.1946034239512353,1.0924635603106814,1.0470421382455677,1.0272641923217718,0.935739248164146,0.8896987514516622,0.7325875540792106,0.5429361375358748,0.5494176323944719,0.6720770360982599,0.5910187048601837,0.5536583886069073,0.6315392507086999,0.628064318801322,0.5859255802515899,0.6557400816201762,0.7091461453813902,0.7339479955242143,0.8156706699056905,0.9261228946407565,0.9184635014860317,0.857219383737724,0.9948129500813271,0.8276516284275821,0.7445450551296097,0.7335889371818947,0.7602133739711078,1.1889143597158887,0.9642331376546839,1.465913786385422,0.8896143283244253,0.8099661900590883,0.9789294118989007,1.009809884558407,1.105263254576512,0.9368026865340588,1.0139505605628847,1.1209574442108374,1.2059700537270825,1.0071467992032814,1.3466921133780587,1.4636834131483065,1.269455173859116,1.5891997662212456,0.995083336961481,0.9258689387473301,0.8515110553027667,0.7753570684903366,0.7929963017120519,0.7528668424307439,0.7192549181912249,0.6578547419686985,0.6329105680913283,0.6661299622016849,0.6581227160905149,0.5917963649102639,0.653105282022121,0.7911358717303636,0.6511699024494392,0.6495249708215451,0.7428843693134503,0.9705962722377555,0.7581473511741478,0.72635623886979,0.6506450400832395,0.6304193479384128,0.6070524423169561,0.5814846977032216,0.6863634174605694,0.6304644506029895,0.6918197043941293,0.7265843062067866,0.7144441981151788,0.7752605556359248,0.9030226497088988,0.9528657910744001,0.8717793345088559,1.0327397154044178,1.075626638990816,1.4323214755393872,1.1966852499798324,0.9886443742610548,1.3619532617879362,1.312173531912289,1.0025027908205835,0.9094071013811117,0.7508311329005227,0.6995675167865008,0.8836400002842871,0.8585101323140875,1.0436277921163257,1.1221250053751923,0.9366884486372753,0.7817560048130554,0.7632772281420875,0.595700028833132,0.49051861804411256,0.5183097516016905,0.5355118205996645,0.8452227604132855,0.6734929769490329,0.5074415941840638,0.49292806650346777,0.7376858033807423,0.3636574743031872,0.9974789282062979,0.8303172079942526,1.414727516747558,1.2370713118203458,2.575161989259377],[0.6158178223941425,0.6254360435274519,0.6424469362384463,0.47990429246698146,0.41390411403720717,0.6612525108291325,0.6777176257225463,0.6842666564932189,0.7766036473098793,0.6749777844059456,0.7184036115773619,0.6750365768109722,0.5704227192407872,0.6267156838288356,0.607452538036488,0.5065388437209569,0.4926787151555849,0.4659175488228432,0.5987773606771296,0.5019772887883936,0.5857129421461131,0.701701436939298,0.8988618064478946,1.075141428291495,0.9786046543912497,0.73314015064919,0.5955130348770858,0.47057100031245913,0.4471636637299075,0.42468346106182464,0.4665377928667652,0.4613952737863325,0.49363629761490124,0.47925893728538793,0.43769938819064536,0.4393856676586041,0.4636645500441559,0.5833259168803818,0.5800673738049066,0.7715601966855676,0.9319077023756792,0.6758882471889154,0.7740562304174666,0.905559833571374,1.1485476106104222,1.5689890079768316,2.0399266600402806,1.3218830661397885,1.5500642858005131,2.341632845146526,1.4644338974548836,1.4163340669660973,1.1258733412885868,1.0863904460116023,1.0596860474262086,0.971598788324692,0.9917462927500182,0.8014541958286238,0.8500525831566852,1.4618888008518736,0.8528444299436707,0.7125297901392121,0.6083554938820982,0.6882689850517772,0.6783718965338874,0.6365110511373406,0.6340494928094262,0.5095129207452719,0.6849761643299632,0.7680332638927911,0.9019897370504731,1.2240383087054283,0.8705964900158016,0.8706960326793229,0.5594308178515197,0.9680583872057157,0.5167057947906555,0.49649494432138663,0.4805275562300702,0.6274819218781514,0.5988313917717174,0.6714628670053873,0.9259811032763201,1.0426599952998914,1.0025896573813577,0.6198488445323688,0.5821395093653206,0.5861915698181622,0.4795288993091627,0.5363448868880841,0.4727891184958677,0.7148753756528321,0.6281354185247532,0.5026862127057766,0.5281607224980688,0.7161182595029744,0.8227216747828822,0.6015192973400119,0.5891372562967289,0.6852193841366934,0.5265395438517988,0.5849314995105648,0.4799405135439269,0.5437107820296639,0.9002350013311772,0.6618096044458325,0.7919462749212959,0.8941328721700856,0.7416520112033217,0.633417765857234,0.5102382173594642,0.4621683428052217,0.4396673020466492,0.3976026849399822,0.47103422822381863,0.4437808506723383,0.5207889312769485,0.49522858776981227,0.6560136943513891,0.49359866196293706,0.577525410191296,0.572800998806411,0.5599810812321125,0.49774007526351943,0.5622364728449388,0.375806432675078,0.4613567680144677,0.5910700333466223,0.7132556164261682,0.8554970581053765,1.11881900130099,1.1910642422715847,1.2909593669926678,1.0406821742133783,1.1710455543751797,1.1323840024986154,1.1917218977296251,1.0462853095434361,0.7469541913296516,0.6931393581788841,0.6825221013402993,0.8878121733598596,0.5779145355916496,0.554562354976581,0.6006862804391474,0.47616619033607444,0.46154258558015726,0.46606603808071057,0.40658111905714106,0.5236022615284495,0.48503063447780737,0.7316993545273821,0.8591339339211403,1.3436078042559014,1.12400271313647,0.6548472713303627,0.5572271667806673,0.4800229859473495,0.44281925450126025,0.49738858476895365,0.556900022249412,0.5479156552858493,0.6738552933050154,0.7478897087368855,1.00104579799809,1.1380719994459505,1.3545536099729862,1.7016689427460754,1.729548745948149,1.5512665983104246,1.2996593993706615,1.004803532823573,0.9418718248464429,0.8228794069925401,0.6654111423895849,0.582136340723487,0.5454931758089986,0.5965520105683011,0.6710857203176286,0.6995640837937981,1.0341108653389743,0.7611174384430112,1.0383090577464436,1.2205216009279467,1.1751107927235522,1.1437442380437226,0.9814344371800253,1.3101915538396949,2.162742712260997,1.7879081243027353,2.0956944174416265,1.630266727709491,1.8879375299393737,1.823246342452039,1.606400519146353,1.5021982364691355,1.4213305045980553,1.3549021274812822,1.166722108763523,1.068781328973049,0.8881085841748192,0.6682219796397572,0.6501978891306783,0.7233604931406488,0.6324570708661118,0.5665858833921648,0.5876246044415665,0.5962808659680587,0.5496367843819865,0.6476799836403122,0.6928023783239676,0.703014175354632,0.8033832504338686,0.9566253158495368,0.923788474870952,0.8246361538935627,0.9017057215572261,0.7422672932764054,0.6752629050840481,0.6696152862757685,0.7194908020474555,1.125357158962211,0.8953721357289675,1.4179763573841677,1.0319043978603275,0.9229937831557791,1.047510716356174,1.144835992113024,1.1534907351043038,1.076979835720567,1.171976575574508,1.3451207055783436,1.3325079854823882,1.2270918189197566,1.6114301616271074,1.6267949125135601,1.4185566292998646,1.734646762006043,1.1619474035233588,1.211096941494032,1.142715376619092,0.975684846630294,0.9865016716279346,0.8549333688124785,0.8607737191868995,0.8093475325909509,0.7126005685601248,0.734486351945939,0.7422692046922763,0.6083747370989487,0.6016877092876414,0.727568541252103,0.5899945115109726,0.5826129990115443,0.6519536488315966,0.9108006050788503,0.6955679693956588,0.6425852135453103,0.5909899318808842,0.5986290440770574,0.6323688418351617,0.6551180359528213,0.6494810400028926,0.6168484907606908,0.7544726622099972,0.7509888170827781,0.6998733853382116,0.8130712543227852,0.9746163517219151,0.908047870896853,0.8296513999583747,1.0880193689360633,1.138586872451264,1.3760015873701954,1.2162896224775224,0.8857200527975669,1.3867875130490686,1.2522627118103502,0.8818862116523954,0.8209350497298932,0.6540315372540351,0.7062604427642909,0.8883837682142396,0.6794347891174131,0.8289337871532337,0.9746889227902631,0.9061569614441898,0.8016547422382836,0.8981948462370434,0.6569772726845703,0.49584416398437375,0.5333727453300746,0.5162301579332952,0.8087602160297631,0.6673200826495991,0.5151637650948218,0.5247818209049826,0.7767145019360333,0.4913253690301368,1.018698600774447,0.982267129163594,1.4548806342026257,1.4336868499929392,2.3679820841699106],[0.5423206547698802,0.6292798200151598,0.5793942761186684,0.4393650125485589,0.6608022987714257,0.4025067214122969,0.42281575135076094,0.4690868556995419,0.4949361512303277,0.44352049376585495,0.4841359320432448,0.4800259104126215,0.4438537085554586,0.4438337073626728,0.48693690058040223,0.41263679702812245,0.4480515482290227,0.4408011604881746,0.5348286454069534,0.5343830794541201,0.6677107417073078,0.790203320729901,0.8645399224080889,1.2131375013525891,0.9719847385969005,0.7853743002112789,0.6465199441817991,0.4977456225488431,0.4478905087792988,0.4406366647082282,0.45115043309854186,0.44591635653629147,0.46130300592954043,0.47883244877714826,0.4683294352137039,0.4847134162751465,0.5174464928500079,0.5921853632655592,0.6481022711886152,0.816309079640169,1.030907628963163,0.6909046668968294,0.7904499707053064,0.9247019308171548,1.200455610915203,1.6240251251940947,2.131695510925934,1.3397158797772737,1.6204039287703491,2.3035599976163703,1.497019687296984,1.5119749593520908,1.133527784680661,1.1555214404823024,1.0250932796575714,0.988344450975621,0.9867594376956955,0.8294080684515341,0.8651809296700906,1.5554649403711363,0.917231679569136,0.7493784865162009,0.6416176459361553,0.7499628454438008,0.7331471294464723,0.6779651059536572,0.6683453314817244,0.5083401119578712,0.671357147034897,0.7623565957755969,0.8223675244465855,1.1977508006801325,0.8293439971923646,0.8942943099713044,0.5777128724207999,1.0722707821558635,0.5317836125938225,0.5204403793161733,0.5138917189673856,0.6597398352523227,0.629946436502562,0.7215918823522718,0.9750211525816505,1.0349414868042435,1.049401866893516,0.6702565353690069,0.6250323541692379,0.6498663678792366,0.5318852523991792,0.5517829505479956,0.49444475629515594,0.7654827460471824,0.6547979453949702,0.4774573374820213,0.46227652993704144,0.6228946996409932,0.7214879479349899,0.519585271174454,0.4912077383750297,0.6005415579528685,0.48470796403444605,0.5447830345120069,0.5595296353093879,0.5906869264552858,0.9499994232857627,0.7815729206043146,0.886748134045945,0.9751318337753586,0.8521741540496323,0.7976948696025644,0.6761459087285688,0.6214141596896328,0.4504042001329271,0.5157644782137256,0.42685618723156704,0.4759913940032546,0.5009675338764125,0.5127433182296761,0.6246380265784126,0.47272019858347986,0.5229064058837678,0.5130720227078572,0.4908495334354204,0.3932978563296574,0.40346256829184635,0.5531848921881569,0.616298233491156,0.7570976069798859,0.8538696964744676,0.9616586794587617,1.1682229524633536,1.2218949396167929,1.2952467355253723,1.086332430302357,1.204412621766101,1.2248915361974668,1.226977568297892,1.1398965925660476,0.9571752164315995,0.8817077988254786,0.8725084764341194,1.0162255013159616,0.6936844105695779,0.6683947677614098,0.6879298688395605,0.5612362776109927,0.5596553568071271,0.5271939875374183,0.49550075759398216,0.4510705279349819,0.4780207139966611,0.5630536879665272,0.7278165452650802,1.2527261442213846,1.0586440965444512,0.5406498138649363,0.4600984378383535,0.4492775944103114,0.4752213775711569,0.6128894884466053,0.7016174422687145,0.6470293136975712,0.7696794271398467,0.803653446886055,1.0291132758426427,1.1715457631904989,1.3318393844704508,1.6486229261990324,1.6507663126257754,1.4886301799921702,1.2870512737459392,1.0560831105985122,0.9935280295861618,0.8882332315265461,0.7536331047524155,0.6920044547583146,0.6512812297201802,0.7107639296964023,0.7495395110074483,0.7652566251069431,1.0464577367830528,0.8534925451896919,1.063832830246751,1.2246646220948012,1.1811828217342135,1.1662084898281049,1.0075419560143177,1.3497762308117005,1.9950215101657878,1.81331108113262,2.1218809278332365,1.6482049132475984,1.8766971023710302,1.8050970970949451,1.5871568661863076,1.4661620565915001,1.4040574019217376,1.359901897535673,1.2129955281733489,1.1569004398411273,0.9812493867751402,0.8090208132863189,0.8109345273153946,0.8622857994768885,0.7793140900934524,0.7307706978396378,0.7366204135339623,0.7316433688181283,0.6488641522855908,0.6589030682104511,0.6915115972791002,0.6895414901840472,0.7484541235091682,0.8387327941766749,0.8494089748058803,0.8135808769978334,0.9427682912525142,0.8042064356069886,0.7718090791382587,0.7528461468244397,0.8155388675432489,1.154236939641097,1.0312971277127667,1.5529441419557808,1.1003860000523333,0.9860361800439182,1.1142007024353606,1.1921592183240073,1.2190087836434147,1.1233893332593643,1.2323716151289037,1.378645811734657,1.3778425226419648,1.2542109342883658,1.5955192462127545,1.646049807984021,1.4482620581246155,1.6943892567330165,1.1976578920916658,1.2686305748032543,1.1949659296675905,1.0596188866259009,1.0960638240560512,0.9529412382580023,0.972583270764952,0.9336198908508614,0.8183068888944613,0.8576329000090401,0.8686834293541061,0.7583983231656661,0.7232839142335418,0.8079873665496452,0.6753047644721631,0.6749277623394093,0.7236252731350533,1.0438954724773688,0.7205523125049526,0.7026916725630616,0.6748991723011892,0.7177570015175511,0.7657680609112263,0.7747690930014407,0.768602559139254,0.7448232146994045,0.8567402851035559,0.8541066095481522,0.8149064144588889,0.916749198618204,1.0381334893265177,1.0256996020093663,0.9452657837067914,1.1467302168303029,1.203096951403952,1.5223992758132412,1.296621990587685,1.0000718918879774,1.4400259258316896,1.232107383938499,0.9468143219472813,0.8538096223163427,0.7434725135882355,0.6917054347243569,0.8349893205416666,0.8051629237673131,0.9522039635281141,1.0536632639094912,1.0175046343676462,0.9546447319550644,1.0105692862979179,0.8513494830463672,0.6438483162546557,0.7331706751507672,0.7476990408019345,1.019160026506977,0.9214785992836239,0.6536771220935511,0.8004662565500344,1.0318457584866971,0.5909590356516463,1.0581250744629604,1.0533919800120202,1.9708928267733312,1.462393660531351,2.5429184042757322],[0.5340158091892238,0.5809713668448095,0.5201000242033321,0.360497813253992,0.4844483827968044,0.4306583690886925,0.5180731042405449,0.567782828756407,0.6340043264025156,0.6290396076622738,0.680700310358784,0.6405125755074275,0.623428941988699,0.6741691716525323,0.724575044249131,0.6177544331673263,0.6363159562622112,0.6484159357271119,0.7231477022558808,0.6658953940046173,0.8095314641041348,0.8832050129619026,1.0236402356837706,1.2928104284409494,1.0619157041285368,0.8690753640962017,0.6704537284560855,0.5561865642644966,0.555208643570247,0.5521764982021257,0.6758115334057244,0.5934486766964986,0.6493355488917074,0.6620861364040438,0.623134012825218,0.6316158230039175,0.551425560201255,0.6337867522142594,0.587619741233434,0.7063981599384179,0.9673920940017182,0.6999764682317784,0.7693817021815818,0.8981081078747014,1.209307287440244,1.568555116325887,2.153976783242987,1.3111751973682926,1.5380929619197687,2.202931050519528,1.4479508713378066,1.5114539301034036,1.1051871607842163,1.0925351929416804,0.9988588858576922,0.9790889907443673,0.9733650675285532,0.8199532224430593,0.8612912757291581,1.632785904683134,0.9616704372217271,0.8590074671589144,0.7815581867982205,0.9011066226862128,0.8509652974745842,0.800339331780638,0.8609556399834083,0.7351156334678499,0.8999969969875483,1.0013919001054647,1.0791463278545328,1.4411580828327244,1.0596172209682773,1.1344889797028526,0.8395719166608494,1.2069016337649967,0.7509099861922562,0.7305704291357751,0.6506945099430045,0.7139650002193568,0.623033525991912,0.6708123226444095,0.914437589993538,0.9301784266309678,0.9320094156960513,0.5596295341546351,0.6160099730060802,0.6957087445634854,0.634761518429945,0.6932658497999696,0.691682538680584,0.9536308075809625,0.8773764274309178,0.7160663196971692,0.7097561217531114,0.8315849908675598,0.9334804094804252,0.7307311534219955,0.6717122023796922,0.723272139170982,0.6171684508844133,0.5497169405931402,0.5593934046691933,0.5402838152499245,0.8213840108646707,0.6213656335391105,0.6964981387800903,0.7697027508324449,0.6422493521198768,0.6245954642546282,0.522808029966378,0.4959846523885263,0.4475384578622371,0.4434176035127855,0.5562876191727594,0.5449414470153158,0.585677085921864,0.5976393673658094,0.7859649120307768,0.6882860429542198,0.7490738380234576,0.7320571007257816,0.6604494951197487,0.5481551008420007,0.5273608625842126,0.45285945699651997,0.4910591263289938,0.5538638918246253,0.6029858339661816,0.7094413981519749,0.8846387407073122,0.9585335055903268,1.0177212738996126,0.8106440936435372,0.8983249002783164,0.9163269549836159,0.912783952917299,0.8278430906683236,0.6973763013682258,0.6462430327126845,0.6858203127368047,0.9283206505125166,0.6325921307210866,0.5630095965294896,0.5763691865297795,0.5372157422247518,0.5139261649954149,0.5085592887408601,0.44942502074776935,0.5231421000859392,0.4952870398019818,0.6849610027768747,0.7908469051946431,1.317271709540384,1.157011674729364,0.6482289472078805,0.5849763376929819,0.48890782517975195,0.522111106791203,0.5182864423219364,0.5359866980917891,0.5363930118111812,0.582920089946432,0.6230124483989917,0.7963351416187519,0.9446186630694431,1.066622509091938,1.4261416251712502,1.3872598498216893,1.1698360733757132,0.9784195618054693,0.7665858913794058,0.7259391223189037,0.6479104776591159,0.5687850259731113,0.5526132277418665,0.6126787608388936,0.611018302615791,0.6215727466323551,0.5757619803721312,0.8075392416018622,0.6324579729535459,0.8250907328213224,0.9839332544540809,0.9288267110294506,0.9827719320631819,0.84114979860772,1.2071687611677215,1.7853661118772763,1.696908926344166,2.0199209830600697,1.4726253742951312,1.687056675375356,1.5975163854807075,1.355702175764149,1.2527053543470623,1.1616419997260354,1.1195203703650813,0.9916611446626955,0.9240382994695505,0.7820234380673384,0.6147324131697846,0.6000746043288611,0.6661522919723716,0.6008621392909469,0.5834855794909521,0.5915518972291648,0.6071851911453041,0.5567735779280426,0.6179296457187815,0.6629925587420034,0.6701379117925369,0.7475110219061506,0.8569174093363902,0.8819302046824808,0.8188415503981665,0.9372288591730675,0.7753316628914124,0.6874662226987635,0.6864722463604668,0.7251595432238519,1.1179729240952245,0.902889386015243,1.3750770422065675,1.0009735217124227,0.8612684029014611,0.9693059888579432,1.0627111027211493,1.1109072396426556,1.0157845967628905,1.0581461595623647,1.2433363986559471,1.2181946856856067,1.0924072343075393,1.50880925517957,1.5466486224615263,1.307964934992529,1.6059706254529638,1.0169003200954216,1.0749664659091316,0.9994822580454505,0.8707560571946754,0.9124244109929022,0.8210433136178158,0.8641976522136157,0.7733153864030673,0.6935082554639435,0.762495891859724,0.763312620770215,0.6217392594136124,0.6330556003416663,0.7568029524907902,0.6051030548927147,0.5989024401203259,0.6751699345117025,0.9908152757895182,0.6837265915234507,0.6490688836205464,0.6012595096790708,0.5996137784213398,0.6233500371484341,0.6337875392292512,0.6513640703861301,0.616152015223132,0.6992756851581529,0.7252185949117077,0.6976723942921729,0.7626643713261775,0.9088795459972674,0.9107326349735629,0.812816928261263,1.012153854993112,1.110070780950217,1.468449702291331,1.2318055476095233,0.8910938769631239,1.429005342451829,1.251156026767454,0.9522230774573176,0.8410820688510019,0.6704543699859783,0.6672232873768068,0.8283776281169596,0.6902758668595308,0.8161276571344233,0.8675620548401386,0.8132619790666317,0.7306950285833641,0.7599988929339845,0.603216238617438,0.4869953109832064,0.5661482055894786,0.588245692786244,0.9256737588052361,0.7887987359066205,0.553958016359853,0.7074788193035968,0.9696646579001684,0.5208508867664368,1.0287356553637688,1.0354308097858784,1.95290392985498,1.466425926233758,2.5678960053546662],[0.8220787081305493,0.8959505726505813,0.7725466939259066,0.7010189074367117,0.8172068014207667,0.7497491535261508,0.8291835376279132,0.9095597942183832,0.9262803935670532,0.959331082513557,0.9697185360922167,0.9675620342672837,0.9640284076414407,0.9853959681987465,1.0133686571941518,0.9795133363112649,0.9789473827442736,0.9715329129249057,0.9760726851365972,0.9629350162446736,1.0210139580507709,1.1164547874965849,1.1162222416889882,1.431830585494274,1.1841023460782916,1.08051700909605,1.0143855294766204,0.9608649827504434,0.9617578483727679,0.9640277514808978,1.019852199982678,1.003573903985344,1.0195782968046996,1.0102332066276434,1.0113779922083954,0.9873865481961733,1.0116186524432471,1.0680334446727089,1.0106244827295008,1.088719069616271,1.2431367836591636,1.0226033679180364,1.0607324443629575,1.1466552979897884,1.3428540810732492,1.844593970007587,2.3589272511938284,1.5728499079193874,1.9384051702557463,2.5026325237912177,1.7630411370776176,1.6815859011488006,1.356726645123982,1.3839182832533392,1.2982568823983542,1.233195864882079,1.1980660596699768,1.0877246826636975,1.1088024523480418,1.762818487382551,1.1601501284975113,1.106462472307208,1.0708104818040782,1.1419747346838571,1.0575653005448875,1.049776509461046,1.048062542170784,0.9855382859866594,1.0515923944994576,1.1577760786150197,1.1870376451165208,1.5075456791532857,1.1974373695360312,1.281090199774977,1.0410707665355683,1.4434702567326663,0.9716191721673083,0.96337342321804,0.9687336533410635,1.0301317212216452,1.0098019909628977,1.069637321997893,1.1832397520865519,1.212594432238654,1.2790350382161657,1.0159772863928838,1.0186592964358268,1.0689882978502858,0.9627708009295266,0.9986209687495281,0.9920491970819506,1.164526789968752,1.1452278985449724,1.055156200651187,1.041090903843368,1.1405695962901923,1.1756457503337718,1.0312226625532626,1.0063477102269007,1.0797557086659868,1.0222911168713178,0.9177913567178911,0.9772918229782903,0.9794179609402889,1.1341031391751915,1.0153351280363667,1.0439620446999163,1.0713099687040295,0.9671767714082129,0.980200414967522,0.9032810749080336,0.9351760160637047,0.8949149850389659,0.9123713840122456,0.9425708150910876,0.9717373692459788,0.9725415978648797,0.9901763005188751,1.0500359012377523,0.9636459663671244,0.9892283587383497,1.0027012300040485,0.9906936877552334,0.948906170981405,0.9134981162725998,0.9018198694791704,0.8355437550236665,0.9244215322052359,0.9495023505013963,1.0707841056522347,1.1562544838571864,1.2045374280898316,1.2796664355212324,1.145865835265561,1.2355677926361432,1.2852029945302759,1.1864792753988813,1.2121821685623373,1.1554005803923202,1.1533129686876396,1.201319600716437,1.2714670376127677,1.0304427609990685,1.0240501254363503,1.0173385104275907,0.9676361080049725,0.9745174647828021,0.9612824580615124,0.9341922833500805,0.9223982034580083,0.9067108611151731,0.9927178498332554,1.0671060629850928,1.5692241736959744,1.4584538520896302,1.0094324633908307,0.9729178508973022,0.9245387881753726,0.9373426300319276,0.9657458297884884,1.029342047500343,1.003449227467724,1.0387764655828278,1.0575273580004942,1.141500159342271,1.2931733890834327,1.3211033156116918,1.5806049504685238,1.5348793928892093,1.4097213388344723,1.2677395661977053,1.1783307854396299,1.1504784538474562,1.0897642645239143,1.036151202029373,1.0046367055369838,1.0057954846869137,1.0294578415578255,1.0671451719707576,1.035671390390796,1.184969249789987,1.032005972054429,1.129360417111973,1.2158833257433121,1.2082843774239123,1.2392032490567593,1.1867600558112619,1.5173840859094934,2.0403705030743104,1.9246270989536542,2.1431297122780646,1.683116935554541,1.8760865176488912,1.7908544871742313,1.5455282234151857,1.3914085383884967,1.3177254480373548,1.258039373068489,1.136217470017737,1.1543148870420068,0.9811447431511172,0.8947792665757665,0.8909198880962876,0.8916607533095225,0.8517113880124276,0.8610426669044264,0.8161697851982345,0.8129226517106786,0.8145295493995938,0.8225927043938236,0.8252190420931332,0.8444504717697024,0.9203380716458198,0.9809753977843129,0.9679260023384536,0.9305172569517421,1.065355825703101,0.8947543529403648,0.8512543271541568,0.8472362063119151,0.8762965402820331,1.1720475436586562,1.0757311506498346,1.5934914190468428,1.1383986647929147,1.029978899256832,1.150897174626479,1.187816731117413,1.1944604869951831,1.108725085162152,1.2013429952100318,1.313562911165214,1.303787959689138,1.1740229305140852,1.5499588080202533,1.524338650864476,1.3390341314044152,1.6580044175117392,1.1294437308353,1.2566901404538553,1.1855801670614168,1.098753048546087,1.1527781365907799,1.0713793946199082,1.1043379712662604,1.0306436184994843,0.941082293698013,1.0497027511372885,1.0395521739527624,0.9250204254340514,0.9496924608012062,1.0568385892490713,0.8954762194175377,0.8870031087387472,0.9730271306921068,1.2667562337079534,0.9046561967904319,0.8783726729931697,0.8227515353275836,0.8634772941418009,0.8868660243285975,0.8550683360547425,0.8639070954480962,0.8440378000826024,0.8972795513628723,0.8941771722378934,0.8640340325481073,0.9136395502272397,1.0175021415123162,1.0150097477219209,0.923669529715128,1.0764948827828098,1.1495500459871106,1.493034305227694,1.2657417949510419,0.9876434092539955,1.4498782923329503,1.285950378032164,1.0341313438546225,0.9300868295892246,0.8234977476024012,0.8095183656419994,0.938494799847912,0.8453770970007128,0.9359044898055718,0.9794028236447757,0.9542129855579459,0.9208807893872878,0.9950325059020713,0.9075412367777547,0.771032142235919,0.9201370985869499,0.9765790180477194,1.2884111592905643,1.1303203463792602,0.9109667344052595,1.1293184170300283,1.3239135837993214,0.9194215813036427,1.2390146188351683,1.4271206073053782,2.4814614570912954,1.9348460506794916,2.7021528801557873],[0.6363358015396987,0.6611315471575752,0.6798451231589315,0.5181112672312597,0.5631805842790404,0.5869114935395304,0.6034606767397706,0.6245117080668094,0.7252990382900769,0.617787408256678,0.673116416357308,0.6320884914562314,0.5260126962637252,0.5798018761742091,0.5908529137472464,0.472082110367355,0.4767311008066203,0.45412098243655813,0.5433098484010275,0.542999215344874,0.6772086875049979,0.8242273798528004,0.8461315130168955,1.225793926090976,0.967286966448315,0.7992311824919366,0.6733853772420804,0.5036841688737168,0.44232226694432875,0.4386704467341215,0.49256036594737557,0.46032178816728003,0.5008892658464037,0.5037786379176101,0.4752699835309832,0.4867651432649308,0.4943381571772141,0.5964033061489893,0.6676430519686511,0.8515037421075964,1.0940884293148152,0.7226238232316248,0.8274084682534042,0.971834969403687,1.2526239997978958,1.7032766609832657,2.1600183208776587,1.3964390682977865,1.6892058430891725,2.3551983323970025,1.5460207758278142,1.5226178080915103,1.1643592597584562,1.1994846382279987,1.0449025082403451,1.0230082264939528,1.0255304479047809,0.8522495158475768,0.8944820312161677,1.562679582222256,0.9634197190319511,0.7613029148920842,0.6463908654776018,0.7428773158534765,0.7464922147494696,0.6949182660379257,0.6524929073623078,0.5122706900266651,0.6726045339840648,0.7880419836671266,0.8466151437729494,1.2018335995019027,0.8466290981846735,0.8685885460910849,0.5845971269122838,1.0772786176594893,0.5394577539163308,0.5341673831169189,0.520389425814434,0.6729235396689696,0.6271517572726611,0.7288561106410639,0.9780784552636577,1.0212244329001319,1.0624050508401597,0.6578629624302343,0.6312946804218861,0.6419381367947257,0.535798515782372,0.5508397851303907,0.5066037415475745,0.7930905300561029,0.6984434048119155,0.5263092948051817,0.5353809453754048,0.7027705703223263,0.8373193960617364,0.6271314867892213,0.610877346085682,0.7062104912230261,0.5446829350267633,0.5381151948128347,0.5244478324327716,0.5503463179022405,0.8649016971240814,0.7010677330432666,0.7707024823688886,0.8689276196045272,0.7405146815563124,0.7042853473631905,0.5814484241782539,0.5566450697896959,0.4446599344266727,0.4604391816448699,0.4434149056204944,0.45762594218313996,0.49628375577945283,0.5342505322837601,0.6246772460073388,0.4742153005065593,0.5285925085549098,0.5496518843535414,0.5035657224405294,0.4372766875609391,0.5050761233644793,0.49838312510647625,0.5183062241233317,0.6529398115449858,0.7350853104468397,0.8854676668168986,1.0696016365608092,1.1214060812018234,1.2483665974625358,1.0285639093264238,1.179625576137333,1.183814174650671,1.1615525212128401,1.139337289528828,1.0226362018587019,0.9500162930444175,1.0338224667629121,1.1503041015991404,0.7857280008249559,0.7290419604453802,0.7354670708360977,0.5557152211025203,0.5428617516491958,0.48987877376921424,0.4460073603937851,0.4927430570339585,0.5018521074050154,0.7102812880373705,0.8115233012584485,1.3927649383817413,1.2043976226263238,0.6455131014817148,0.5514609258892573,0.4709489607503059,0.4639306687131178,0.5444679740637669,0.6619430285666975,0.6224022371455057,0.7960105155719761,0.8246448723136431,1.0758754129279893,1.2768503517290004,1.3842537387076361,1.6974961347934965,1.661093212282737,1.5375312563732157,1.3129794663655892,1.0937367078022573,1.008151318102858,0.8762587398390778,0.7280470815720165,0.6438897573325042,0.6092679632797506,0.6716636214203905,0.7234305092095055,0.727686901828467,1.028779280319133,0.807187620977446,1.0323600685231555,1.1981451181615896,1.1849434322232912,1.1928135226822478,1.0588140789962908,1.4382581359592526,2.0622594746548457,1.8827473603782243,2.152135036022196,1.695761056599753,1.9044926013158496,1.8114354831354322,1.5608454391110733,1.402079159316932,1.3162579792050502,1.2200388303442602,1.0523986304218234,1.0194170606829296,0.8326097095237861,0.6905592991257298,0.6824223187822229,0.7144847304887971,0.6600582967917298,0.6420209426095251,0.6427248728742331,0.6372146675615455,0.6130802100994889,0.6670785263675836,0.7014493145671976,0.7096841734412721,0.7919957463388975,0.8992009826011126,0.8650769449679592,0.8191345426365236,0.9369130139500705,0.743864504423609,0.6971375261059465,0.6869920606383093,0.7227693690134934,1.1734086952353724,0.9363919010085343,1.4813304708572335,1.0264032452170622,0.8891453814742103,0.9999873619902762,1.0707733172603815,1.0531913568251325,0.978622792623015,1.0810727601759589,1.2369699116815,1.2372456180940283,1.0837989372972687,1.469053460590557,1.453673591538422,1.264393779522065,1.5923652853734116,1.0340307145434962,1.1529990625090474,1.0803277552619677,0.9565799679646648,1.0100671894192585,0.8907631721260123,0.9205709386882024,0.8567031308982117,0.7797138327465768,0.8517732050241786,0.8323025000915052,0.6901649200573591,0.7265802787562037,0.8509521504269246,0.6855608780970325,0.6800580456778648,0.76970720183098,1.043486539669957,0.7475470416764319,0.7038762078394102,0.6511953089615174,0.6579230837866533,0.6877137694333904,0.6690771334920094,0.6730565504183682,0.6499985178233372,0.7548580625402558,0.7503801163119417,0.7073507202555603,0.7769136056087815,0.9061792632874796,0.8928460291818554,0.8012035315704034,0.9765010007539283,1.044660299510095,1.3606446808694377,1.1714601486933438,0.8756961333809373,1.3331737083697834,1.1429454874097824,0.9001598816017671,0.8270095310728124,0.691351248586433,0.7080774792532997,0.8849884486630896,0.7186144150624663,0.8083019344349792,0.9100705224619228,0.8295521460661448,0.7690225134300676,0.8538112732497458,0.7157513896221449,0.5681578829191516,0.6385992587675101,0.6781804289326597,0.9970597244724728,0.8070424213077624,0.634731606729986,0.757704961259902,0.9539103385161035,0.6073706697748106,1.0576924053084855,1.307357630975748,2.1054558940591486,1.7975373829121801,2.438897376779585],[0.6442804140461857,0.6480732524085067,0.7877351963308992,0.6186007221638398,0.5715280494619054,0.8908369368717336,0.9539300731069212,0.9519439903483488,1.0359876640683356,0.9777253726880188,1.0079559169561865,0.9394776438360518,0.8779912808901481,0.9291189186933659,0.9177044251001247,0.791546531133009,0.7700119523174581,0.7146539618232042,0.7474297164588409,0.6312829117715139,0.7273716221837135,0.7919172660137586,0.9507159312301151,1.1633058531371354,0.9804959705878648,0.7714050201059383,0.5951627767917274,0.5619569295739775,0.6078584030543253,0.6564202143925212,0.7647427736553221,0.7051052332615309,0.7540602112733311,0.72066956060806,0.6658453477410107,0.6395554237091735,0.5765329258811873,0.5968396807720037,0.4976101119473212,0.6331132099581886,0.8828158850712746,0.6178538013251431,0.6905797840443717,0.819748810937501,1.1706054308161693,1.5455874055924639,2.112530400897916,1.306760106951973,1.4862248037487933,2.214624700862397,1.422929811592387,1.4882262627523675,1.0698238694024342,1.0086963441760823,0.970656002504074,0.9099583060710672,0.9116851770352491,0.7357695623447444,0.7827185351225293,1.5444814124679298,0.9012157057860626,0.7871051420758034,0.7095687998217409,0.7835616434587553,0.7691310239439495,0.7296321631009065,0.8068753125082104,0.7398164925995389,0.9330518644811805,1.0686152477546682,1.1526258211323774,1.4589203752117597,1.0985927736706405,1.1104354974624462,0.8531676981244894,1.1398386178369233,0.7368669958634937,0.7344626440132574,0.6272678089791912,0.6551993473408371,0.5489691922970344,0.5935431208180648,0.9023968691678195,0.8987555963409172,0.8646448096920395,0.48939178580651643,0.5377050995064689,0.6600376354861183,0.608310294512163,0.7075486381758685,0.7175626473077513,0.9594458501557365,0.9316992329533681,0.797487451580095,0.8424345085536172,0.9625310726029154,1.1270211957606375,0.9299176056472276,0.8983401115026334,0.9277383260421679,0.7941061190176092,0.7737626066518702,0.6337128612196122,0.6836750610119949,0.8647539882260692,0.6329242651503841,0.6708095341117769,0.7093663757408236,0.6254235840471715,0.6346098667329386,0.5923412125036155,0.5804042569296206,0.7347272877675853,0.6323903838967498,0.7992071505310395,0.7162967385531493,0.6930698441089841,0.6397906598319699,0.7902706262784388,0.7633617846286169,0.8607382477773252,0.8942162363539575,0.8796802884976639,0.8679176953023534,0.9142555354365404,0.7021941546402339,0.7020016001761659,0.5956822487278759,0.5553248417290083,0.6282668306041588,0.7557986173124884,0.835998587400707,0.9301038208840553,0.7174391124804711,0.795527609491364,0.7445869436744825,0.7912894236698867,0.6962622918292478,0.5717654392803998,0.5035514884724835,0.5341638832356658,0.8398308450500016,0.5232181928479239,0.47448557904153066,0.4813939903872162,0.5383297891673203,0.5548060271571196,0.6315923583694855,0.6116225167655455,0.8303021741810604,0.7549951240421084,1.0136492638670025,1.047558842371147,1.53271182242027,1.3624198482040268,0.9041134256558736,0.8447044955320087,0.7400425181806864,0.6987997196954696,0.6072567058136795,0.523604916093224,0.5125470824615989,0.4946562756621198,0.5338860691719391,0.7306474576615866,0.9056206699016777,1.0551516795140339,1.4661426309831815,1.3952894723438392,1.1539960790531902,0.9259429728126664,0.6798274880468576,0.6342723657744723,0.555435127834869,0.4903083356253458,0.5334455080738985,0.614550419213237,0.5674007085467386,0.5508400802388991,0.5126174089336203,0.731774953506774,0.5701413026583264,0.7653929186906392,0.9214714162625655,0.8722826376223574,0.9397078210329387,0.787807272379678,1.1798086916203252,1.8135625746165376,1.7035766759831719,2.0149767136305736,1.4639777233565976,1.6894320454803844,1.5822198561156422,1.2995314680816592,1.1880963336467125,1.0644743930334453,0.982995860544132,0.8431784644193654,0.7723426192847729,0.6688617366469698,0.5428530221531672,0.5147322857931991,0.5709838068546724,0.533008016000388,0.5600559114284865,0.5991960529335923,0.5999612996818596,0.5995608149889736,0.7317647271030998,0.7750348847423549,0.774286882339576,0.8525649964666732,0.9888559120388963,0.9802111436569271,0.8998426242325672,0.9534755400511274,0.770273556483474,0.6775173486837813,0.6826566749831477,0.7124538916271717,1.1984947328400921,0.8321311613043905,1.2207303632250963,1.0361896562272643,0.8415961487274932,0.8707206998548636,0.989674540431247,0.9709137879346617,0.9398248220066204,0.9508700029037782,1.1576673326203297,1.1166487296090697,0.9952267532210607,1.4405927762477446,1.424795671736285,1.179560823104585,1.5456576220343994,0.8934908020527428,0.9629032110592581,0.9054779672882143,0.7924780723575721,0.8330608501818029,0.7579102216003306,0.8331994830659926,0.7162409188404918,0.7003597738007187,0.7707913204665653,0.743102622159129,0.5693621533241184,0.6305550817253884,0.7892123145569949,0.6548785587728616,0.6332355602223374,0.7236857604858606,0.8875330695768814,0.762847959191191,0.7010402525839835,0.6448003120030952,0.5656837762976367,0.5742028829627593,0.6171397975950951,0.6029313420828908,0.5808700977568332,0.6366995573094166,0.6785064699000558,0.6667514512850718,0.6867294880406837,0.8494522525495304,0.8165049997587148,0.7332797169866396,0.9279691270459446,1.038238805428158,1.3824358818347378,1.2256901279081698,0.8449604144050572,1.4173123265440561,1.230552216192881,0.9935510374735681,0.9170819847543281,0.7163274811956812,0.8122333934633342,1.0183018494957845,0.7355957270756803,0.7698581712382585,0.8316619462293309,0.6614136412785824,0.5937571420949039,0.6169127740670771,0.5196100087891979,0.580385692838461,0.5808013288629416,0.5954955918417261,0.9023772780597893,0.6615335064259933,0.6412564454016203,0.628930922381056,0.816640000042975,0.6540421815351914,1.0657419975184779,1.2298457726904972,1.774619988070951,1.7790673702815818,2.4058149762767727],[0.594269158839156,0.6260650405257557,0.71745474755795,0.5327892415954839,0.5338194443853888,0.7652606472501435,0.8849250563894282,0.9194939451821462,1.0228827733823722,1.0294256518292464,1.079164279879361,1.0264761131710713,0.9918671874934566,1.049549952426214,1.0846065413528854,0.9589070856055559,0.9596308846874609,0.9219043035625174,0.9451523921496454,0.8398294184426484,0.9053052145011342,0.9117513073326885,1.0870239867675258,1.2874333183889264,1.142823003342778,0.9542265570932649,0.7898588311292237,0.754730928575824,0.7969909801769449,0.8429007899253831,0.9691835565889365,0.9032609733698378,0.9556550396220085,0.9531192844463042,0.8852872094071,0.869859958425256,0.7706782922891836,0.7928633548411945,0.6980577368898306,0.7662010187821146,0.9757891846469114,0.8048201235125063,0.8522165285476124,0.9677782528012467,1.2012523008483464,1.5920314563901916,2.1868599401913555,1.3289711045548922,1.6391673169936298,2.248280914241881,1.5154674370260492,1.5157022421088964,1.1410115879011435,1.136899995682324,1.087570436530231,1.0444183330407022,1.0162471099415848,0.8762485622489654,0.9285292963593786,1.6810592950780754,1.01438130352719,0.9601748552531307,0.9126402521108079,0.9719917682558018,0.9192226369704143,0.9026650236188835,1.0016647381198975,0.9574868513774674,1.1131148030170221,1.2625131020013483,1.3365653424667154,1.6549577379395297,1.3028657150518985,1.2949242033675283,1.0754976382403227,1.2529628520512748,0.966951279009176,0.9657935586196775,0.8608974736160241,0.8453478946603046,0.7730245909304237,0.7658444977326956,1.0140263364867113,1.0264179824780018,1.0168173907856655,0.6833553475831904,0.7519302258467254,0.8892140987930132,0.8292220804963268,0.9376301689203365,0.9431746720876151,1.1249263933836258,1.1079306938706472,1.014419174907741,1.0481131429234707,1.1401611903133004,1.284168113083857,1.0852215938714578,1.0346208514487276,1.0453495402361088,0.9367161799660344,0.8285337129327761,0.7776673297389182,0.7522188216428128,0.8073601164569851,0.6481496400610343,0.6589514230826883,0.6923492035182558,0.6338983213028796,0.672479566141699,0.6191658065919833,0.6502942460971873,0.7586602497642392,0.7141497816356233,0.8993193481517071,0.8419170113928508,0.8396214451341695,0.8046424526090159,0.9602978803639858,0.9601745347286992,1.0442132456476705,1.070891873784655,1.010452431921814,0.9290910616204843,0.8951568760908166,0.7179920559957931,0.6783249557492959,0.6058088921809724,0.5980273474901445,0.6601848414663963,0.7333092180027028,0.787458691007738,0.8803679028044085,0.7231683488203859,0.7834623166868188,0.7439159984785856,0.7860359759530671,0.7327291097481826,0.7062368637442199,0.630719158319726,0.6828904966153736,0.9073458368373997,0.6300640011982699,0.6324133699438945,0.6312296191065334,0.716030118104983,0.7130251643820805,0.7499398530365791,0.7100386041235622,0.8684509294331435,0.7923362626236207,1.0313934622214147,1.037914186256281,1.5518228673135992,1.4507381924937308,0.9835405441858884,0.9346019832834979,0.817367862965823,0.8035092369359708,0.6550036792899503,0.6302970449718509,0.681238390887377,0.6365537295548205,0.6671638771891901,0.7532911509772087,0.9211391265373942,1.0228768100677172,1.4002654344785512,1.2798087006258219,1.0686923000367876,0.8990180551234546,0.7345630874469005,0.6939911158270653,0.6489203695578394,0.6370411499340025,0.6464346725927446,0.7582487700151962,0.7251315754520792,0.7064016096762094,0.6300072938902348,0.7888543018615696,0.630330673441116,0.7808781497245186,0.8853928038177233,0.8729149912768247,0.9538543808636964,0.8568100879967208,1.236515589415847,1.7407882200342144,1.7150706488558778,1.9589263464499937,1.4097394831000394,1.6049954079856539,1.488402181373044,1.2007494725400623,1.1098141417302732,0.9919002951402204,0.9164078520227295,0.7925989288560075,0.7713253368518991,0.6402071004902725,0.5646345691590139,0.5322221067973586,0.532229587627747,0.5045767925067697,0.5326696447912201,0.5468269888191956,0.5448812862427541,0.5513489950513113,0.6514343405789985,0.6841408847522964,0.6900260955553026,0.7744598568241076,0.896579558261486,0.8699117300900288,0.8172982872003997,0.8902014800900783,0.7094899039277254,0.6145978674137172,0.613097863878611,0.6558121804358974,1.1675340171178439,0.8209758361020452,1.240666451474594,1.0183001176493518,0.8110874825577209,0.8297082264493837,0.9323943798814799,0.9023540824018006,0.8745013240257792,0.8881549715951299,1.1400071725587175,1.0900772631040645,0.9319616949623839,1.3761534281766294,1.355650772787075,1.1211583785320873,1.479613130366362,0.8382428191817767,0.9396005374731283,0.8892108430359003,0.7912543207187678,0.8875083630714903,0.7960841884345035,0.8899610743703693,0.7689166880414556,0.736310684164967,0.832451897647337,0.7774739442911172,0.5976587845151443,0.6913443000674782,0.8465190970534205,0.6630820287645645,0.6388585341543911,0.7565204007487705,0.9778856156653224,0.726507772938517,0.663570018623747,0.5956605197705412,0.554125659079991,0.5707995994423397,0.592093156429146,0.5545111589077976,0.5324508178080276,0.615363848151065,0.636622837499106,0.6110856190137962,0.6449946509110978,0.7993906607234699,0.7800868837472644,0.6905099563135836,0.8810293752247788,1.0113790755038958,1.3488897837988292,1.1958138467516972,0.8095545972708967,1.3977074560211709,1.2022383646471309,0.9327055495258333,0.8390947209042384,0.6452521855115164,0.7063355938261775,0.9226731706088361,0.6770974971727332,0.743597695606486,0.8141324777158228,0.6244935108631148,0.553116091240348,0.6034675151114556,0.5163018474810623,0.5586315888410551,0.6034128251291022,0.6133662617996227,0.950777429943485,0.6897526789035981,0.6337797153977811,0.7201621291733974,0.9111261654060181,0.6342733497342834,1.0280642251190513,1.4471707821553583,2.2121999638089984,2.0158765292970924,2.5983772631032704],[1.0233575105501256,0.9987485227143772,1.050413581288885,0.9204796175188557,0.8405121641339479,1.0562397965144101,1.09481154571981,1.0928853079400502,1.2108255577900577,1.111893367301387,1.1283030346667056,1.0769706679838824,0.9402633282104191,0.9945333020551148,0.9505022064182562,0.8154912082393564,0.7686462259191045,0.6882899993293865,0.665157789211159,0.6934009126497358,0.8046450090005954,0.9512920065549746,0.9727147140831565,1.3655583119389674,1.108687542667192,0.9419910815221668,0.8140898484498417,0.6485947821072031,0.6318019442231243,0.7067367197205978,0.7691254800765865,0.7903005798647974,0.8304701670448759,0.7666246016868048,0.7291765080826063,0.7009058266598237,0.6869460753598127,0.758622701616792,0.7806566475449009,0.9307712384611883,1.1926228425921541,0.8411127045171395,0.9287309455818028,1.0933635337423309,1.3611093064987123,1.8828017379062425,2.328816428596071,1.5268880378531187,1.8789547623211347,2.448565035356026,1.6802340692933193,1.641598700156497,1.22986289368841,1.3102991027558606,1.109652750915645,1.1147787429171523,1.108523422871056,0.9230407557048512,0.9656618343087382,1.626836510649671,1.0424756155209738,0.8732983745983788,0.7785462272539766,0.8898649496117352,0.8659926478277471,0.8289424409727344,0.7447499515491951,0.6872580924316067,0.791488098949687,0.9533388655386569,0.9789552646284349,1.2879163975257195,0.9643785796906196,0.9716228271149586,0.7744064688724782,1.1739139087057755,0.7079461985132192,0.7228736867016926,0.7007424279335263,0.8045132344610645,0.7256316239195159,0.8280775286491985,1.0129567606812577,1.0117531259003143,1.0898183902925487,0.7228733117315138,0.7475530763379737,0.7957463635411633,0.6992005203273354,0.7357614039465197,0.7077270697523067,0.947728671011617,0.9150329738045272,0.8178683319379944,0.8714349035481542,1.0157662733128083,1.1819756249675408,1.0006588631473472,1.0249865101725708,1.097180059558625,0.9218081131304757,0.8601728412667509,0.7809263520493828,0.7924448512770702,0.8353392888429384,0.7568411184072117,0.7767999315897108,0.8171929760419258,0.7550930339928249,0.8051683070815813,0.7783898539407204,0.7639045602131068,0.8533409280577743,0.745518842705134,0.8289048213842626,0.7070379757700578,0.6532670944747535,0.7046868525421593,0.7749335515853205,0.6523266526293983,0.7204879725611751,0.8540701076049265,0.807184148192848,0.9018272143475448,1.0013514511986037,0.7716832383182515,0.8487524941970168,0.7145702950238689,0.7164410018666535,0.803291331860363,0.8706801499611809,0.9180177047383299,1.039624817140271,0.8940827915047402,0.9961287129252371,0.9805931995732233,0.9109901220021556,0.9393284482525849,0.9431609425942067,0.9979822276281025,1.3550153365157642,1.4505227921335542,1.005043464731998,0.8576996749443966,0.85656253982204,0.7077537156706546,0.6772959746449106,0.7202914937985285,0.7236781756167593,0.8961902095085449,0.8916551213180589,1.1592845021570921,1.1852362648841703,1.7103541612810274,1.5462982279361426,1.074819818873507,0.9832344701453652,0.8619589553665781,0.7911962134866533,0.72816501480188,0.7502349550522943,0.7013543372506065,0.8338547297726812,0.8640742260717097,1.0715641361133128,1.3370425920247866,1.3201848824479043,1.6509394307578031,1.4968271489239267,1.382962055107415,1.1546646252703032,1.0085132367835805,0.9589202712745415,0.8585130744712604,0.7855963869950054,0.7381885836814576,0.7460466404134269,0.7665584892480661,0.8231233426819271,0.7638032797435057,1.0017475788546886,0.7734955748299759,0.9235892516811427,1.0656871186734937,1.0882671134564574,1.1693933635856564,1.102971693205102,1.5416326445210637,2.0813554429441306,1.9173085203398637,2.0869470018210095,1.6315963985387267,1.7644573277718072,1.6231784780257743,1.349531121511755,1.1728318483606306,1.0711094950671547,0.9634329705633132,0.8310136022611886,0.8747148685033193,0.7464114718522792,0.7703645869894469,0.7546276103858405,0.7465898434260124,0.7706638960153167,0.8346157097226766,0.8390060466878634,0.8337720616939197,0.8964864637156157,0.986907171799364,1.0016150108648296,1.0275727919019906,1.1214082717242664,1.2223012105167648,1.1549833512459844,1.0813159935193921,1.172143817075653,0.9447371097086895,0.8768784363168743,0.9128001094929544,0.8457234135072526,1.4043980432407919,1.0017906907023064,1.3939946080752088,1.0322802745310837,0.8940134404873419,0.9536913400385251,1.004123242441801,0.9454478386550134,0.8966489413222135,1.007560384812534,1.0817968929740471,1.0616806800654524,0.8917993233470977,1.3305237568850328,1.2305655433162521,1.0569563903646302,1.4136318337496216,0.8415482091354888,1.0134235146853017,0.958092787133991,0.9126930654963826,1.0196095664384641,0.9953835697495986,1.0434620874212446,0.938514634926814,0.9544781846553678,1.0678586307753613,1.0060806842032395,0.9181132264412413,1.0412240821329053,1.1541403075668117,1.0198995876483314,1.0145034455313215,1.108806859702335,1.2480787219127476,1.0851281586198505,1.0208789021481783,0.9372333769343766,0.8796946565548464,0.8667780903388401,0.8131694691761154,0.8322003349902648,0.8179059352879676,0.797893438164729,0.8025410465886266,0.793477549886788,0.7658058324224145,0.8332092639344237,0.8653689830176399,0.7997673752860782,0.8435054195738639,0.94308944345898,1.285755570076779,1.0838207815936098,0.8810897624455043,1.28535279917691,1.2091550470297352,1.0365768934985848,1.0140935443551622,0.9110978218599567,0.9998398711094681,1.1272834429504803,0.906870671005942,0.8778119513283438,0.9069831421824842,0.758875709835329,0.7376365214414318,0.7365518400124476,0.7235367980187456,0.841554149601707,0.8424199215648354,0.8849315164155772,1.1861696068162402,0.9369755046876567,0.9373742517213337,0.9815380585320248,1.0885556486723051,0.9510161901223783,1.215718168535387,1.739121059372474,2.5566177774241425,2.573635200008001,3.013769806032478],[1.431866524953942,1.4045108912209616,1.4812439631502725,1.3685853283144283,1.215669163142366,1.5453899052210625,1.5361099809849992,1.461666238019002,1.569355058560704,1.4571168471741678,1.4398328389071564,1.3731939813264349,1.2203806938965995,1.2784311018143304,1.1717614448942983,1.0319213853642206,0.9307223181024521,0.7959621454469265,0.7411926423690488,0.6406191423260222,0.7684080391515988,0.9380381957188517,0.9528828421154774,1.2258273523624337,0.9692831605921259,0.8017326105008526,0.6335499357625652,0.5981116901821852,0.6814630015220833,0.797661023882362,0.8936694618707209,0.8897554044010195,0.9231947689426181,0.811542966402393,0.7275914666493387,0.6642927943931108,0.6310772743269571,0.6083537271341665,0.49881521106977494,0.6739743004669886,0.9771587322681534,0.7046424501612029,0.7836856806312834,0.9487362255361761,1.3323508710093515,1.7211954791317023,2.1946061065533904,1.476364542477744,1.5761029927495755,2.2887083058272144,1.4864002253030193,1.4573298203099312,1.085272558760112,1.0519825376008616,0.9847282355193788,0.9998471039291158,1.0343529443942678,0.7782765719974889,0.8292393896021422,1.5715813872646838,0.9834075278000984,0.8186655048062892,0.7201933871636811,0.8215101834365576,0.8436454254985221,0.7689395425989891,0.8020782531782832,0.740822959876485,0.924814820536089,1.117164851823257,1.1819606326304208,1.408880458976126,1.113302308592915,1.0692223611475984,0.8675140146862812,1.173428220249988,0.7087137290257834,0.7361375368320447,0.6249652060980107,0.6345143544054108,0.5034268425753929,0.554227354967931,0.8722253082693684,0.7986131657045329,0.8085150175881111,0.4505566798334588,0.5314516561645607,0.6366210914117625,0.5994638424455451,0.7159351940813401,0.7506042745734214,1.0131495720768595,0.9952292620383704,0.9295845170782159,1.0334733046501263,1.1513419018800715,1.3685497599812326,1.1850666650484096,1.2067214846689704,1.2560517375134403,1.044737455787402,1.0375275927766061,0.8079261381673252,0.8744508751054194,0.8363055925568534,0.7044146138052525,0.7153657242714483,0.7050586885373034,0.7864386925943321,0.8396110969060078,0.9599738746601182,0.8824738356682085,1.1940676572998408,1.0360953617530497,1.1619350941991997,1.0358122259209481,0.8632058746272955,0.690376742350561,0.7822889754716938,0.8374337476554902,0.988604823532456,1.132993507323091,1.2334785130754233,1.3722345150330733,1.4825875469623997,1.2032642284160409,1.2127344601935586,0.9063138037113181,0.7952670420658093,0.6391910636465802,0.7263891196206416,0.7293244801969426,0.8438797954058908,0.6268929133393267,0.7348067771729834,0.6744984869977382,0.8261233056883511,0.7334376544714934,0.6776062225788724,0.472550545912687,0.8765073952377416,1.2536480305585131,0.7025098960632782,0.49052673352427184,0.5193433115406423,0.5475615119927559,0.6269532754126605,0.829285018608818,0.8804940650541834,1.2277833110967475,1.1535198058299252,1.4387090008739212,1.3843902755252482,1.8437762889111553,1.6598743712063841,1.2562773434307608,1.1977044889513484,1.0772893339646723,0.9491432853465348,0.7707993286596091,0.5704465000783951,0.505304322442965,0.4635956235892223,0.5360746938701294,0.839593330453747,1.1757267634894173,1.1753828067096108,1.6362821281212308,1.4494271304683304,1.2738640181718561,0.9668384037002816,0.6897322236137345,0.6136669742964077,0.4970908648303396,0.45605392290010216,0.5303475429660824,0.6708326866846632,0.5810696565976502,0.5265237543262884,0.4764150871332956,0.7288916425103366,0.505223477194837,0.6707229557782443,0.8421276044729151,0.8515021538298034,0.9658232293806488,0.8697756616553866,1.3878685975491614,2.126393283363715,1.8557839053339702,2.0435947201027376,1.5271467594813453,1.7116391531508373,1.5464388781007072,1.2266864963617696,1.084668711573906,0.9712353867322796,0.8834889408952044,0.8430605144313972,0.8534846899562579,0.8196759367063389,0.8306293721028352,0.8545138316265656,0.8819379820213066,0.887820717709149,0.9855122396995587,1.0785637592439832,1.0437515493542582,1.0594005232252304,1.2112090259636745,1.2388939477693939,1.2364512843305213,1.281983870906019,1.4498391121529972,1.384908638173841,1.3253285749934713,1.3327284488709057,1.153977009195831,1.0689136520271465,1.079942569462244,1.0324430046349953,1.552575426939015,1.1238681167699667,1.3544144608773034,1.1911198176110083,0.9717929109220419,0.923999492508449,0.9613574327182577,0.9402159540291777,0.9635593439412727,0.8879917134547836,1.1449430852320237,1.1431733497307583,0.9297061579100244,1.292896212692962,1.2569813629406836,1.0996556368086128,1.413714205921997,0.8857650380162408,0.9259712782942089,0.896233610122796,0.890369735542904,0.9466745505181043,0.8818914214274214,0.9916298647895594,0.9166579964017506,0.9971214977361862,1.0398376871459172,0.9798333191388365,0.9433340990252326,1.0614593126434995,1.1949360805620473,1.1447812564690487,1.0956500921880417,1.1998589322460755,1.296501152254207,1.2425368125592833,1.1714338647794376,1.1035692715976733,0.9910508156073666,0.928382331594927,0.9328472839980787,0.9738941216809984,0.9710528942759604,0.927417461715875,0.9532003765565857,0.9888238014288773,0.9224134119399933,0.9738123966170923,1.026638790243362,0.9933280161950176,1.05671142199619,1.1685332959590669,1.522130655389944,1.3952221929454245,1.1513934538612252,1.6100526222419071,1.4649493006858727,1.3326575579301838,1.2822614915920938,1.177296623017205,1.3066918144774118,1.4512603558169879,1.2104837302092366,1.145297848141605,1.1478292569065303,0.9231719569886362,0.9331850222265126,0.8317490208840642,0.896497690074454,1.122921582400246,1.024974135140819,1.0531224739132468,1.2058125645685729,1.0642081127651726,1.2209195524201137,1.1689847381051153,1.2152049293003502,1.3405423436475041,1.481776457956883,2.0178928263771474,2.368661730305591,2.6706148012232824,2.93680598313077],[1.2148269868568595,1.2368106350004322,1.4526102021284895,1.242030992450443,1.325512348107299,1.517934694746211,1.5740702138913236,1.5654199351615246,1.5813519047785798,1.532182717982269,1.5206697469362411,1.4885606876913384,1.4400393519272978,1.4184382301285787,1.3893961331492402,1.3163168879375986,1.2971627527960943,1.183691383687378,1.161034201032125,1.0466033377667985,1.0396088467479818,0.9581120910412397,1.2674606993435404,1.3378407720638519,1.2541397540099894,1.0837998632235042,0.9904327629277865,1.0649752052071315,1.1211688535021123,1.213347807553085,1.2197684928352965,1.2480035506081808,1.2513299266716424,1.1819640029008769,1.1514851223827227,1.1160484385934701,1.0928772584317175,1.0294540179208689,0.9083664126653404,0.9234477738426776,1.0188940350214764,0.9545553804863319,0.9830919328797599,1.0527443255042293,1.337604765284351,1.6496693981952941,2.2222560161175062,1.4522333819266082,1.643574616799318,2.3023971420860887,1.5828978737708033,1.6008892857231747,1.273015867244985,1.1828892045121964,1.236917928402595,1.1026219605665375,1.0817253512945837,1.0031025830904865,1.024694205977074,1.6590220869400572,1.0987653745129606,1.0793336038059005,1.0260948042702018,1.045113871201614,1.0309528592209993,1.0502106878375774,1.1513286327615742,1.140736147402399,1.2647048620189671,1.3801357492055384,1.4789751937095401,1.7584143892002344,1.4032577846917509,1.422230730132883,1.2244606343149491,1.3459161169802676,1.1315281716114698,1.1316729956059708,1.052524621250993,0.99582370846626,0.962406526056003,0.9734803908085852,1.2072208932456492,1.2427142433896594,1.168695146689187,0.9650567692495664,0.9423127971019566,1.1111317384850647,1.0411763677271488,1.1279425774156169,1.1201878301488957,1.2162493654636495,1.2724081727084808,1.215403635292288,1.301829881310245,1.3532181985873808,1.5525706113832778,1.4395832378711917,1.4232053028445648,1.4416517042714014,1.3460864093865934,1.3538175758653754,1.2281350265679618,1.2936192175067216,1.214683264797753,1.167659593234274,1.165471816175893,1.1291971267697243,1.1904258105485777,1.2499677245134344,1.297624322740985,1.2992767991745955,1.4436750595913952,1.389784213250845,1.4369715955863465,1.3974921521922952,1.2683478855953043,1.2156436084681352,1.1816071954971294,1.2488946805070111,1.3350512700533064,1.396725571142232,1.4594179943823624,1.48947502743536,1.5183593861100935,1.476109359943711,1.434660415463492,1.3034414624919886,1.2449183688055212,1.1151551999242186,1.06834552724912,1.017529735901769,0.993418168087706,0.9837919019337251,0.9865835443621862,1.0365262110093205,1.1725344997520062,1.1157731183220712,1.171810910054415,1.023344276738125,0.8092228237822106,0.8101235562017846,0.7787804674895921,0.958308577111052,0.8634603065723474,1.0709875032749006,1.1681606183186533,1.2628062733684502,1.2970575683139156,1.4787711996625599,1.4174898911244198,1.604406036200819,1.56494007021478,1.9436242208257228,1.7745499913604745,1.468293240295101,1.4380750932737647,1.3878627552107283,1.3109111171147338,1.209090110287247,1.131766721013436,1.0700163576583148,0.9734822529131497,0.8994211404393546,0.8862632863568567,0.9289068168271565,1.0906264740353397,1.422920775227484,1.2821684090907384,1.0959413594860392,1.0112364893791004,1.0088184974106216,0.9691043084176723,0.9764456323806331,0.9953774461977246,1.0495960709304906,1.1473747413648472,1.0634077456595281,1.010654652975826,0.9778753122264875,1.0170166291539229,1.0280083814469434,1.0074508082443898,1.0011511562481576,1.0017628425848137,1.0383080263238131,0.9750326367147213,1.2299211354186073,1.7555473688710113,1.6893383963159467,1.9377478451274468,1.3950457220442816,1.5489705837532273,1.418751947216026,1.1382626152149393,1.111583736098062,1.0905480856243042,1.0813251798864874,1.0927407025386906,1.1363803858415442,1.1285227020648225,1.152162333629039,1.1602120601934114,1.1623809313649849,1.1672714159050164,1.1968949162730358,1.2853745508374288,1.2638569432176183,1.257230039476331,1.351774023914161,1.383110785298043,1.3763889018938242,1.3767596852435762,1.5098247167017973,1.4878446437295172,1.441723442390034,1.462717718231643,1.3762472988682124,1.2961621390034688,1.3049784609033295,1.2855729882092628,1.6659360897112658,1.3520238022810547,1.429618378195084,1.3760518646800106,1.2324557138584473,1.1808184693118207,1.2113267918635018,1.2606189305564373,1.2623319553975907,1.1382452014103193,1.3628777569615338,1.3146331230128792,1.1743417218007666,1.5224313981142883,1.3960822354033884,1.251730862945627,1.5715078390258574,1.1482279346977977,1.14422236440586,1.1417595700115162,1.155168816460934,1.2437535109450875,1.2276643957434465,1.3452314163258674,1.2500276679395788,1.3037268687447272,1.3129365370612474,1.2486994065745227,1.2030292896621675,1.2840328593629562,1.3659073006585825,1.3230776305220973,1.296105691658852,1.3416367139875456,1.3256069585786334,1.3730005385884725,1.3270016249120535,1.279158616125341,1.2137640283228417,1.1843578652581852,1.2175391958952313,1.2227459022230656,1.2196365800488866,1.208735756202535,1.2307030611389185,1.2485189744451908,1.197756503042106,1.235765919846034,1.248864499559531,1.2283438548326104,1.2694031637947154,1.3544681852685383,1.5722706603944787,1.4604942280192497,1.332134566220269,1.765476691886554,1.7812243613433594,1.5518436617661278,1.482553516990723,1.3649727957668365,1.4281658772616956,1.5885766744635672,1.4045986417159213,1.3947423806523105,1.4071255335589152,1.1880544499357608,1.1820793034408719,1.1411976129055745,1.2057831047112402,1.3267557880478185,1.2803503187581167,1.2738250816338081,1.3470133024501856,1.1851184016540637,1.3257790827636764,1.1869264083032238,1.19464893841701,1.2791547552632252,1.421624333210896,1.8238381664936079,2.176640054324039,2.6059417739640183,2.8952772707453067],[1.1431828562345925,1.0751456769128969,1.1209739936071814,1.0255851526141901,0.9523517175354451,1.3485485233816865,1.4896177455147281,1.5452118687241565,1.7607847967696717,1.8037659307029776,1.8817675119509616,1.8022553039914615,1.71147347912229,1.8517790616604333,1.8110659632774542,1.6695069421298967,1.6393718139207072,1.539008763596388,1.4731469263393642,1.277478997091809,1.2331637887634477,1.1545599062246508,1.337080358814336,1.4654660568138307,1.298418644564447,1.2384928624445746,1.1466183635798097,1.2743152426858504,1.3571194821765726,1.411238430557733,1.6052410025483457,1.4765646801971408,1.5555079411667738,1.4725718161599075,1.38792248267664,1.3517232006494124,1.2471360596940209,1.1983153310769787,0.9851784085445972,0.9855902822672064,1.2064122763086493,1.0932141459117435,1.103013686001699,1.1478892826301854,1.4865185454956855,1.752666430500583,2.300055618264355,1.5062748149607368,1.6102363260176744,2.1042836494533073,1.5380485617108137,1.4450155335138715,1.2376713168313942,1.245397896834676,1.242719382074244,1.2019349308543994,1.1720863825286898,1.132673145935907,1.1302351164979734,1.7312914577001817,1.2017277206822126,1.2368026966450303,1.2519417577711758,1.2668046487368587,1.2057577006588005,1.222592680895988,1.4241282579752288,1.4583523799070033,1.6273777457345775,1.804921859104366,1.9728521692654029,2.250427062490571,1.8583251495257023,1.7435485073738757,1.6090606458859686,1.7529350610241665,1.3646099483170808,1.377563422423835,1.2599323522675283,1.1332368433903948,1.076699613858415,1.0303038916244467,1.1793783808699543,1.1869781879653012,1.1690466003466948,1.0275378760202358,1.0660098417955644,1.2256445147139876,1.2329254035427257,1.3719869492349814,1.4500946887366057,1.6471226828585384,1.7281939398129538,1.6532563125553708,1.7060322448697005,1.8550498648363438,1.957033141973747,1.7513599138128084,1.7105218804614541,1.6636643798558737,1.4808985158076358,1.3212341863736985,1.2319473389457356,1.1542521369687828,1.0595184854195039,0.9288403257419878,0.9290499616646425,0.8189820348336285,0.804367930230694,0.937246111977179,0.9680640157078533,1.019953780383295,1.3262045386320078,1.255802546087871,1.5843432431200812,1.5470354764015337,1.5258263230126734,1.4898046771307334,1.5260994460501536,1.6726402469574344,1.8582394524231305,1.9034856195290888,1.8958567360657748,1.6876017683804685,1.5609490568251125,1.2362153741700022,1.2195188009330074,0.9474346243883238,0.8367174497247072,0.7993854754276611,0.7358342560114286,0.8050453347837452,0.9531331437320827,0.8379594494567465,0.8435377566581901,0.781155679096659,0.7859481969279538,0.7346752986421994,0.7854198142905788,0.7736121782796811,0.6772342962995226,1.1409198406990646,0.8774817351021013,0.9271956754379469,0.8897023554401465,1.11440688721391,1.1649840343997548,1.27179579624628,1.2253557737229335,1.4666892878752995,1.3277493013362351,1.668673004498999,1.5575939815994,2.036356779557969,2.0022270578723322,1.6007615469101522,1.572427986701084,1.3572374066020547,1.346831427473124,1.0721778044381967,0.9435109843471297,1.0352115215523436,0.8719177096031075,0.9046734215316935,0.9961190703843407,1.174917680922792,1.285983484355247,1.7158011739030143,1.4860737543789262,1.2026443089244039,1.0037764680100807,0.8335291595949837,0.8532481348038428,0.8508982776346699,0.9130675586115505,0.9735358286356799,1.1739022130163872,1.0952395381320037,0.9955626604324646,0.9141287184294922,0.8632598329683882,0.8532911568106409,0.9815822878186861,1.1172773069587565,1.0792883282300736,1.2112262101601876,1.0652293950384608,1.511974514663515,1.741943729923195,1.9892465730278572,2.3047288677141746,1.7501448325378484,1.8247811361773674,1.6025775799291133,1.3129909166697653,1.1844728641578097,0.9820291577231887,0.8972305331876744,0.8298722826216471,0.8232055867175005,0.7655512813019243,0.7698684903114181,0.7635993503154495,0.752059107088179,0.7510785338798991,0.8174053714822724,0.8761792222966325,0.8494135538761092,0.8673708918628236,0.9989845296888454,1.0122048245016102,1.0150371181864088,1.091231088518225,1.2291536840864843,1.1781502371194241,1.1009766112487869,1.148883085767264,1.033348401341617,0.9130529276884122,0.907024016856913,0.9049234481628857,1.459605821017541,0.9993285217985454,1.2290212450326377,1.0372886872508504,0.894144872292019,0.8788557901805062,0.9832830896820682,0.9921754793710765,1.0165541977078325,0.9058381770450972,1.1663575779593518,1.1116574178858067,0.9753710326818396,1.5526334600930811,1.343664919824508,1.1381462596332685,1.5646399791077867,0.9047989334511364,0.949705415457329,0.9145621674718347,0.8524394990846279,0.9726661608338931,0.8969074422637825,0.9959615376865519,0.8856696372375292,0.9054317827679976,0.9709375771755575,0.8979968550271143,0.8604012480921469,0.9899616337597992,1.1327094192230844,0.9981393986187959,0.9504061131011642,1.0451841226194896,1.1411085996951187,1.0484431237275054,0.9791386688765628,0.9038276912560267,0.82589318115894,0.7988956664533694,0.8034933793621757,0.8229977133374452,0.8047645450818852,0.809484096430886,0.8332206880161395,0.8419460790689077,0.8210827789292927,0.9303239867434328,0.9249546832954957,0.8827894005135237,1.00506043523213,1.125387172925246,1.354162207434318,1.2615051614152484,1.0194883435533961,1.5491016424349964,1.5722272127388262,1.2512556344344767,1.1514405091683257,0.9903536925566174,1.0665062630716193,1.2681846644503794,1.0432019639589665,1.0692921788652527,1.0506037937937065,0.8038550512708428,0.7674920746697473,0.7325931645790169,0.7754447906450187,0.939747110722477,0.9277655012565825,0.9047879125994874,1.1930890362467048,0.919908008687701,1.0017993828728418,0.9668380164854729,1.0799075004393563,1.0387696785933414,1.1352681023759355,1.76214693435452,2.3434061560257566,2.6661162195883636,3.156964579205342],[2.44152088430648,2.293603924415766,2.192869005516461,2.1919993547915038,2.047754123160729,2.735336539335873,2.911498953435876,2.9983024470071102,3.24807006235705,3.2967632531326676,3.3451047560824425,3.263134527061979,3.1282083131944987,3.2788642838462216,3.1005920276754804,2.958807673054243,2.879115902362976,2.5562898535076495,2.1622391994904975,1.9087459288562045,1.5844313085465207,1.4313289300359928,1.5160794748893094,1.6661333080800371,1.464735850420604,1.554960960250455,1.6962519776097065,2.2056056441214134,2.393109665258417,2.585741853839728,2.683982364522168,2.6727005149517646,2.7180026979120124,2.4782468444446053,2.3872538988018963,2.26653547992027,2.286166768983286,1.9740745583427914,1.7124760929671052,1.5766851574359018,1.5459385381617226,1.5137894114779575,1.4326750496724596,1.4209433343267217,1.6435406434309772,2.085770585954395,2.617397157437155,1.8926931505250846,2.091252658458973,2.4875167371005618,1.9620777927316189,2.0789365024709183,1.6281169515254907,1.5985032926760916,1.5905284073041206,1.573520840644715,1.5460728586862684,1.5028134785200207,1.499723960403063,1.9872697817813096,1.5176464654067243,1.5864368370048765,1.7180879019739475,1.502537948403266,1.480331979538335,1.6289368700327724,1.8069882048413706,2.1569669053335003,2.3303629585325805,2.6990665800660634,2.809959838070493,2.8890261310437464,2.636958839312506,2.312678541216073,2.3520346210890684,2.303698415420343,1.9699122723211717,2.0526332881680687,1.903748678141582,1.7228919113017427,1.8134764204683596,1.7037332969889019,2.008470697075041,1.8551890245875462,1.7969101258055349,1.8839977829901262,1.789228588986065,2.0409465802098743,1.9520304921968403,2.2023949304486283,2.293736601108178,2.411105388495945,2.638441132355974,2.724652304845667,2.88507048029716,3.0400341926852628,3.2434456199210038,3.0358664813539527,3.0997704246032507,3.0949634330098226,2.7981183716804283,2.670665652206084,2.4842372842602796,2.4244464523359777,2.1291369406307283,2.0535554378677894,1.96520649971985,1.7025644415641352,1.8465646699659124,2.111469275205894,2.215216468864061,2.2875686111814333,2.716790883384302,2.6081533588797137,3.028495512453573,2.964339601376565,2.7917229558814207,2.568790817699947,2.1794636988618987,2.699733516036119,3.0195092462355015,3.2936780037237408,3.391672558620596,3.174684071425152,3.017778677395715,2.4912205133712053,2.470863848884338,2.076290356396416,1.8529620310683388,1.7497262397521487,1.4992873928198955,1.505998393771154,1.533884406760791,1.6321158568135001,1.5462550906309234,1.6676538324444268,1.4565322179358318,1.5577445436118527,1.7308015073228762,1.7091568125002696,1.0858202642903791,1.6120533275008697,1.4615130291798888,1.790905484071064,1.643860720985214,2.153065969601761,2.3486835967277773,2.581553485365855,2.548644144236614,2.8910437661174955,2.73974075162671,3.1200429529962763,2.961739047920537,3.4095786918367366,3.402325108695941,3.032174986275268,2.9971930594417313,2.743246614736665,2.6946105544524883,2.3086396732974457,2.0518558111031924,2.079504684746712,1.735848815248976,1.6353060853509351,1.6103181630948555,1.675839208428754,1.794741232805838,2.2512796826072323,1.8863172198912737,1.5919245264807238,1.496121238978033,1.5294189044976367,1.6157517271448913,1.6871555629651789,1.838463136353544,1.9819986215584584,2.264864804609838,2.1129965555757204,1.8995549120111894,1.8317956247122618,1.729193424138444,1.7433455567367053,1.5766895025496666,1.6258256506837847,1.5888244162556948,1.6425573085955885,1.6140424902827597,2.0797573260456272,2.4193172451156966,2.429116687413197,2.56585027751933,2.0721821126407076,2.1263338658154827,1.922841209577453,1.737113386618831,1.5727303420848173,1.4150432113929503,1.4129360623755247,1.4010127344757741,1.6110762816996211,1.5621284565448932,1.7765998474757916,1.7899479642067355,1.6020647791886078,1.7061425851670937,1.8796884481300262,1.7579987051384707,1.7213685128313945,1.9291564854104981,2.038029127980264,1.9270189424553894,1.9766259156109234,2.1671473777825954,2.191608204089186,2.0272310768173885,1.8401793745891537,1.9217940609434108,1.570440645536849,1.616817742592072,1.6805193583776636,1.5875557688226591,2.189007181699031,1.7091840682838273,1.616158393407747,1.883629865570162,1.6602416650583383,1.625557661475767,1.5888177543183775,1.4239396182792758,1.5187816564233825,1.5498650888775622,1.627753758803848,1.5459021453242527,1.4542574664886678,1.791553794810876,1.631623476363247,1.490054037890441,1.819673175927966,1.3853911727182866,1.6443344714313812,1.6233118788215473,1.6579994216246379,1.7634301543172974,1.7742157891649928,1.9160903740221935,1.8255380590345045,1.9032766148309574,2.051174377935961,2.0112783295698957,1.9745355955894823,2.1584831960035924,2.3052233246484466,2.164617735194253,2.0818299203064563,2.21280681310592,2.2107296155545133,2.1269320609211655,2.0638395589634633,1.943970444789112,1.8477248465657743,1.8172848968632835,1.7875671072420827,1.7066737227799917,1.6962560355106084,1.6102570908841092,1.5447062669662464,1.5692022960842704,1.500581552464055,1.4758045057552833,1.4128564540462965,1.3816595698021328,1.408718181434851,1.4400256404297633,1.5694501119017614,1.5273161554729928,1.3725698846611125,1.6794741068679337,1.753074537091788,1.6431582068493444,1.6057570882853625,1.6283144402782443,1.8696691016844067,1.8063917749867653,1.5485762091776765,1.429502963423013,1.4059617104815068,1.3900428133642189,1.5309042327073783,1.5580129589998446,1.776018427992547,2.0074550052281994,2.1366642287615587,2.1232071991613513,2.3730354020962663,2.1574335342362674,2.224302510921562,2.2849042314003825,2.348845140148206,2.3849305206142097,2.2577102117829475,3.064269480105028,3.536426982212516,3.964693340769087,4.2706421851104235],[2.933011207074767,2.675206491430744,2.382757529269144,2.5231225015165144,2.0664700355344596,2.971919591114644,3.14244060677045,3.245953975026067,3.7555643613025618,3.8812767264163712,4.09440523213833,3.90282839052599,3.682752692439812,4.100661088720157,3.9526219473072235,3.671417539608048,3.604621747351782,3.445247882532178,3.250908212781385,2.8910229421650753,2.736945581070605,2.712154281000602,2.730438881451944,2.9021891582463337,2.6945405348841645,2.7292942614462663,2.656950651035153,2.9194772966824236,3.088583377849316,3.168830623372503,3.5339300946909287,3.295885361149933,3.4375168388268813,3.2792452936200247,3.1211438002157363,3.0577929617399633,2.8825341913723435,2.752113850413855,2.5340759972629114,2.645596621664119,2.7227147339161797,2.658629956451383,2.694928677649659,2.772554684056512,2.9061808736312393,3.222771762092416,3.70630572735462,3.2302906934502924,3.264725783845539,3.5359239450474464,3.226706532920736,3.2847501670205936,2.912473412839441,2.849281677962013,2.729200826401602,2.964766124549924,2.909976835910421,2.7024216358212962,2.78099692396334,3.224687407123259,2.7771711912608255,2.7723429133804696,2.8037267058764637,2.697569888684392,2.6931995202224797,2.728395796637288,2.9200766670880633,3.1955516715331806,3.485867340825042,3.825399967679513,4.067252408884028,4.209700006666144,3.8533911776079943,3.502873951708887,3.415303505419998,3.348976742110805,2.989172059824648,3.0337648710041187,2.863127100345815,2.7343306090742874,2.6937202882934,2.6313780705223975,2.700430608304151,2.591076705041374,2.593978875280886,2.587655152171744,2.6740141170854375,2.7483791970033513,2.837632587346584,3.0339099681263835,3.2218355255212296,3.4011185009510525,3.604189166827028,3.6293982992495444,3.7580638983471655,4.0239891074341925,4.182742696664639,3.758188830576664,3.7150963506398975,3.6102107593730315,3.2835400226739506,2.9591041251261165,2.807025414501854,2.5519279256297462,2.4559990021485087,2.1617524058666073,2.1152148939517046,1.948113767183574,1.8583454890164024,2.0828362518723877,2.133152030493732,2.231101954895519,2.754045906097469,2.5741900812767757,3.3203145822476,3.1348921807934103,3.2942344065688993,3.0511593501538083,3.3342778034970855,3.6784376105830465,4.079050111097332,4.152410098195224,3.9760139928820326,3.514223074825511,3.2968935199709266,2.38446616954212,2.4030693474067255,1.9478432712110003,1.7687956926359851,1.9143826019526466,1.8231061242409325,2.0653423853374013,2.358042813788,2.2171913477933574,2.136104985212328,1.859781212538326,1.6540083142932864,1.5350766476343065,1.492462308192971,1.7101487552670458,1.4291458579901197,2.599534009603858,2.383652984563284,2.2440340694524537,2.3623304292476366,2.6246165754390365,2.6107436849796106,2.82329597458547,2.6725224655532123,3.0802154725164783,2.838447014728693,3.4191691571079317,3.215120999157379,3.841347871905027,3.8666425439828584,3.4070092300337764,3.3645596338787933,2.947542822258301,3.0045644006539676,2.460781579050152,2.21749706606516,2.4602568981263317,2.1769678184279737,2.3869609575669135,2.680443408012452,2.76365559121288,2.9970938587926295,3.6386773864734065,3.110988665949381,2.552706719341752,2.3378308858696677,2.0000661467521703,2.2413489881465325,2.2533838555291466,2.3272333749623733,2.3729678073993896,2.631557210831745,2.541251269089805,2.4931324160464796,2.421960459359609,2.531368989291983,2.1828820561835807,2.427950824423034,2.748485586392438,2.68775367582418,2.8952463058336977,2.7722233057899963,3.4717385987141918,3.676165681683687,3.889561731139152,4.072161184829105,3.508560084078435,3.53283731350447,3.1624106437649586,2.904675825468635,2.6351668547376224,2.1732240011303983,2.016346448528872,1.7741959747192235,1.742114250889623,1.6941204248556674,1.7420635128966635,1.7231299512144427,1.6346745690508073,1.6965941241859788,1.8331214205561746,1.8019344111474427,1.7684044293248855,1.9409580813697733,2.130048208595234,2.0748026675659026,2.1175253849261364,2.354041920896596,2.464223227060433,2.2988565026226153,2.0693599923215413,2.124521214992021,1.7958555598173653,1.7445037812590527,1.7901764012647068,1.7042338725185595,2.134042576550107,1.7661839447514327,1.9165735671168818,2.0040189549577976,1.8751751144149256,1.8503067832497604,2.014726168915088,1.8683533716161764,1.8495974366571708,1.9995472155688436,2.1456170400010266,2.0312291172117063,2.0083994580127063,2.5583379969877593,2.409850796355496,2.1110582472610036,2.5411117198691535,1.825584653170874,2.004556538936528,1.9877664584557,1.8141563099417257,1.8941693063702223,1.909673980883531,1.9764272035412993,1.8410621402907745,1.8711613647087055,2.05423772572439,1.9867291207376423,1.9201021385468233,2.1334438413523307,2.3137063174201735,2.171788898737752,2.0982712754960415,2.277885451184509,2.3659482164278067,2.2260106295789046,2.131970079237188,1.971941603199767,1.864907861921454,1.8088638366452015,1.8035243494593256,1.747503768079449,1.7396063285214822,1.7132083500019673,1.7050296294093898,1.6973129203225568,1.6933502804151725,1.8211553388970665,1.7224212662717313,1.6569235962484932,1.8077086278604013,1.921020944175436,1.9886205644636339,1.9603287534723461,1.7188632120808391,2.1135144881294385,2.137520373466676,1.9206010068729424,1.920933987353172,1.8029052907707546,2.069477227394215,2.1112896685129816,1.773115097582843,1.7291070963522763,1.654509169961678,1.5757316607378233,1.5482712554004314,1.5894223394398646,1.6676856514037122,1.9241167767688203,2.0471925274169025,2.08127020730981,2.39707415864628,2.19395713128188,2.284661280514562,2.439902746319955,2.5558803018008853,2.6423277870894255,2.5683116287292767,3.292694925426301,3.75544496773519,4.176100913600544,4.470310388256746],[4.063685586724766,3.767209662811119,3.301935268073495,3.5324502212671827,2.878584993232756,3.888806733259774,3.9473304725658473,4.026522443121786,4.739771438845385,4.799238018692384,5.104805322486993,4.8167779505211525,4.381643883359523,5.039667505596175,4.816848018263283,4.361616164812416,4.142801756135313,4.027556544499121,3.863816802480855,3.5162811476472093,3.596239207176684,3.6848793522918446,3.675767633729192,4.026440236511229,3.6554148237534867,3.522063206803246,3.213926832887535,3.254070559293666,3.5288979921566033,3.637363657044313,4.223557975865473,3.904784813259257,4.118167385577922,3.9488992129379556,3.692058089442966,3.5978430102050276,3.3526692440747707,3.1856029790764726,3.0577650396109872,3.374632362951867,3.6232975897216875,3.4168324313789156,3.567242762964156,3.74999578089315,4.030048089021166,4.126844839283521,4.483159654915157,4.174574598681064,3.952547963652287,4.218456895899579,4.093569467810651,4.234557061967979,3.8904404594488553,3.689128822744076,3.497845358619327,3.947189724734331,3.877236418334394,3.5531905828551893,3.7310355756322564,4.294204967480307,3.765999933814062,3.6291258343936788,3.5701688684177415,3.5794316442804304,3.6109777827911653,3.5011209395961043,3.7151109256545416,3.88639462068152,4.224844076206062,4.629172804776555,4.885868969244143,5.083388699416046,4.722130117099658,4.247549226268165,4.17259922994283,4.082564772833481,3.698431057687196,3.74193988561019,3.5274271082198596,3.4590709612655224,3.320788602772016,3.259019962224854,3.1698455296677843,3.1577501153701033,3.163865849810151,3.0736257980359536,3.2608349165284083,3.3083725936606623,3.4537158148523925,3.6725226615979545,3.9158462033101173,4.195089270104599,4.406778734640055,4.426008773558707,4.571007427839592,4.9509261959246,5.136389924703888,4.57347901938294,4.502137674664029,4.395714144283123,3.891366821315706,3.5330225465380134,3.3030702282004114,3.0114246011027475,2.8676216339518974,2.6310837031225933,2.622755148839615,2.5242902733074226,2.467460873307921,2.6272363612886696,2.725698865453606,2.7108455539245946,3.3002373927832545,2.9546847204908957,3.792161566442987,3.379440526491001,3.49449357022006,2.9519662625935923,3.7552933641551243,4.164091687905153,4.643946181593849,4.88256766905153,4.48931422921029,4.097527923846554,4.011913978695367,2.771138924844462,2.9854878349377345,2.4247211491883274,2.330421623610841,2.462929238312331,2.5588724990039386,2.8149811095348554,3.148735416876344,2.891287593874057,2.8149414366191676,2.393453144255191,2.3763152080316887,2.0595578003997796,1.7697647675412387,1.890197615896068,1.6760181502434248,3.1668866341691984,2.812917982543243,2.4340181549694857,2.777316099887585,2.917888531565843,2.7957557663063444,3.1696206865791123,3.049145380915713,3.6274867632972176,3.459181439631348,4.18004031622936,3.9606461410845246,4.715240413795697,4.725190982890855,4.149127075048174,4.037543919479494,3.5072084770030396,3.5071107631677036,2.866419235704485,2.535772697131332,2.8016261461790366,2.511533546683361,2.921987139883371,3.4296131661439837,3.550073545658354,3.8824854166195353,4.679300001054968,4.096006015577392,3.3943581993699015,3.1137346229819673,2.56145512765019,2.816809437052766,2.7808781903059328,2.7889094751510184,2.8110642477408425,3.0287615351623227,2.9958514843264026,2.981078370770427,2.9395079691152586,3.1755481895626994,2.7051372183213234,3.1338096489408604,3.580586183978666,3.4974033748726128,3.7978718152658475,3.5834846835448184,4.50203441936185,4.582308296160821,4.968059696181849,5.200204924505206,4.515385760811951,4.521345398082578,4.068294321660664,3.79131855391979,3.571381513902836,3.078500173250058,2.923070335262632,2.633867383443175,2.533205946442605,2.523264087620095,2.55183051672406,2.5150893383545623,2.4808571888133932,2.569997619608508,2.700767500609044,2.670601209654587,2.6554038643694646,2.859119247400036,3.0650746406195832,3.0014107723003844,3.0752264066732775,3.3703310150790666,3.4571746859266423,3.264936033507592,2.97343707709083,3.064351501385619,2.7203489578808138,2.6828677515453467,2.7367245184469327,2.6701453288177275,3.118408278484555,2.73402766094418,2.760215265240069,2.8205840490078233,2.7012573092167056,2.671788708150885,2.8539219357839807,2.7447692158650887,2.6824178670014422,2.855592635904706,3.0380313486771215,2.944172517280054,2.8947890451669855,3.4378113185866876,3.313810172609993,3.0169997594486584,3.3520644172255656,2.7011800386737868,2.839128050285532,2.8370132820668483,2.65169092651752,2.7094917603000788,2.6788537827981767,2.7364003372223573,2.6444436398098015,2.7010927739557076,2.816967418727043,2.7830551619226247,2.781282918938716,3.0352189071677107,3.242536610532546,3.095842899122547,3.002942103959538,3.227822105007578,3.3518034542337505,3.158358792564403,3.07589803759625,2.916080537752021,2.781701452228307,2.709208235894309,2.686849810744561,2.683348115950885,2.6437023262447665,2.6165834101417436,2.6293889024584423,2.621144330618193,2.579856646404114,2.7152419126155856,2.6556631129984147,2.5652318948947825,2.7018545981516584,2.806442760593531,2.750963777541877,2.773676098726512,2.5858952354753844,2.891184232665878,2.9095723628248367,2.795191280380819,2.7725289692559723,2.678678353738421,2.9509791986153444,2.9317381608200876,2.623391531681995,2.6145445476084976,2.4722157678274534,2.476310347874995,2.405854897889149,2.4049286098799256,2.3932467026513895,2.739163711730983,2.8107588988634573,2.8841233449850225,3.217183963431916,3.036555984442596,3.1949244485574453,3.377467213755063,3.5186518185539275,3.6316090446889406,3.4796333920327625,4.4531530570456885,5.020275260090453,5.314770117732822,5.511486149774808]]},{"name":"Protease-ligand interaction","means":[[15.628189840324705,18.146948909938214,21.60222354341323,22.01240405730274,25.700967536788028,20.832055158063508,23.106649067507753,22.998833278482614,21.866806559691856,25.549626128874664,25.780026446101953,25.496190522226257,29.322428505921927,28.802895904983757,31.435466711595005,33.01115409849592,34.37495791060709,38.39738718710712,42.21573941531612,44.13091843990891,47.9948897467162,51.63632083978083,52.81555221019598,53.11296896051125,49.94013057968717,46.232103518175926,43.898784712770826,39.73746990831112,38.59579325882405,36.395205791370266,37.783684162492555,36.1034561128623,37.68852719213002,42.22009248385502,41.429043577148626,41.66970710966604,40.23393981700387,43.36435716688105,44.109390196061405,49.29849288568456,48.96695788105603,48.25580748347077,52.17479236364419,53.083726011519296,55.692415193461684,54.89852271872155,58.642039410637906,57.25944099984474,52.93587829973892,56.27478168427207,58.049368055297336,58.039207423546166,58.536106663983766,53.72055832456497,56.172222419251185,60.13370504542918,57.15865127086181,54.8475964952022,59.519555276458185,61.035263853055916,56.718806102430655,56.42304936668769,53.458483703628566,56.22609902339732,54.97025804307375,50.84520673819816,48.0551258619021,44.19168737773323,42.59203381587135,39.00183976687505,39.31222410947134,41.13759310938837,41.62154702450779,45.83422167848404,43.88787759417255,49.30005670652292,49.00491156185796,50.13536782931544,49.94574124572283,51.93242961836519,49.456064253915976,50.16442278103272,46.69538871363708,48.44902697540385,46.92109218985952,44.60899493325183,46.778859768434,45.24844971999843,45.89661673941462,46.40848367692392,44.53814324998724,46.44994539645471,42.49019867326597,39.45175196478821,35.53889850518787,34.48514603566832,31.23203667485371,32.50971966815917,29.742642946653767,28.437077331253352,33.31586222019125,31.898624686291726,36.12631698279538,34.358980613940105,39.06415907307165,35.24613285267015,37.28503368895648,37.71080249056709,33.817874637831935,32.646599589997024,29.064850036962675,30.92936163084993,27.635822444925218,30.6107890080404,30.72602818869145,32.98275214403611,35.66683697201921,37.96484025417493,41.04237466668614,37.615993879313976,35.5574595692526,32.36238772841252,32.436983039247586,30.04627352687312,27.055500730536846,30.0303050837609,26.77725956450957,30.88528391352504,32.57533648521875,36.33006843471251,37.25665213965945,40.43563346857918,42.53467584978948,41.672674890623355,40.042582780129244,36.53407783469762,35.89716854185387,35.605361115915954,35.36867270213362,37.296704825229064,40.34541366541265,44.39215851094004,42.374369984889974,39.763703306144464,41.779111422633925,38.67266169415179,36.34175766024562,33.58905680892225,32.13917497563525,28.09778482518582,27.301731310452062,24.129813826491535,25.624923322306465,21.642313675666948,24.219967048368982,27.326551405110116,28.25621991876477,29.67961858049738,32.20348439610787,33.32701550492891,36.156818812792594,38.76462227079082,39.80816879280261,43.15020340373704,44.53773142107612,43.94954050389915,45.325476050069824,47.63009455351977,44.68397319961303,41.78812811765506,41.17960309274677,39.44810658259326,41.37513522610572,41.43116967103081,41.1009779255422,40.01092705547941,38.21881414402872,42.03716434771319,43.89513624454029,44.13169040994482,44.90239373828285,40.21867495759668,45.1651537311577,48.21752626426562,46.490326165401214,49.55031564999147,48.60916283988471,53.753215950924606,50.673491096253095,53.844848317917766,54.17487243125072,50.49116127266639,49.50676536797815,46.86108520563947,46.366557937781,46.01865129759124,41.421758411262815,40.98693829025344,37.89706133662436,35.382697459330984,36.06736235265036,33.14075389975047,31.125489020771816,32.1822509167316,32.04366054099372,27.933852744275462,28.009968326168668,29.515326854287867,27.863905470084525,23.954994793976077,25.23199701478989,25.61968768219132,21.946151557594263,21.258763742043268,24.201290788774696,26.29260668580266,28.032735317764384,32.44048378101529,32.03076193741415,32.897543776290505,37.9135242967848,39.17668570235683,42.17354584046867,41.70757448895746,41.941578147833084,43.8860806975468,41.77956323677819,46.59126637305762,45.82547746786708,41.31663633204586,44.327182263147655,48.0218811230325,44.77283700975956,43.43873038440247,47.30825119609136,47.497988939230574,43.445888230341424,43.83919368806953,39.49844193957426,40.41952327032509,42.05167897451349,39.24695948818245,39.8860069205644,40.07773433094469,37.86419538364091,36.06704338749508,35.36704453963371,34.30892094438394,31.42921698342126,30.644262148359793,29.808259978259535,27.164960119555253,26.121567956521517,29.30310872586985,27.581677538018617,23.645246894091187,26.415609873572,29.502731065558045,30.566627479605575,33.62102392221054,34.130717948816596,38.03277073546316,36.075065523790066,32.61875287636582,37.02065789400382,38.39941918857598,35.68072865833731,36.33137964712573,41.50918929781805,40.35158859979763,36.640759103091334,39.807778513797174,43.6719308489437,40.611702202130864,39.61134337617384,35.43153529522378,39.479305739120726,36.55595579721363,33.69892605362001,30.480551644468697,29.179428821569395,25.211927573107307,27.467214016559883,29.935203545138656,33.50843556585942,34.20469260781874,33.51286610407067,30.74034752344928,32.958041720740404,29.925322258567473,26.51368410944591,27.44784485603759,26.657078229351725,25.017411299340893,24.06498205437533,22.576186301583522,21.122945390121373,20.47434950254625,18.923383843408025,18.793308700066483,18.026570864110205,18.1586800517401,18.633680084218124,17.733469975911525,41.099980090527865,38.38852994615162,36.10640981187023,31.69111882794089,28.36781665454738,29.70102982486955,26.259051608182222,27.514150598682647,27.076498423860052,23.294257060356017,24.528242574733923,26.71444313213633,21.652794411604212,21.35528618007394,22.234570546881326,21.342401880267904,17.66786921147668,17.056183900524022,15.059166482330294,15.359023783076196,15.869007911080569,17.068446201597077,17.432522063677858,16.372369823240312,14.263431276696583,13.306885334731774,12.777486767709627,13.633653976811607,16.212715794376997,19.257198791833712,22.024710649540854,23.67954083742253,26.996196219994363,26.71059006514011,23.60390790529413,19.95787104244396,20.954311027242166,16.702197022429495,14.776386397642934,17.84005485881365,13.497873991742727,14.83445698246967,17.385142086617,15.60390920104594,15.99103530468803,14.676469201184062,18.05678337229429,18.003920228443146,14.311483435794276,18.0037724502423,20.210529704265817,19.486900790983448,22.714040624007637,19.032742322920416,24.371824416347376,25.138134997337595,21.327649828950843,22.34162416716152,26.2786697142783,24.84396140460681,22.025159967127983,24.463866766512606,24.560603946817146,24.39206539381868,21.411454606288643,19.754154760228495,18.561973550706043,18.69515489259951,17.618012595615127,19.532084875672382,18.90865325716026,21.86298272808206,22.2371864964763,21.43700175129536,21.87274828035139,26.055035034885428,23.087452600612362,26.950728688725526,24.842895660623423,23.86321710464285,24.010607497160258,22.328106038244908,23.735351495496587,22.64824316551829,18.66483598792409,19.370776902103177,19.03004543500429,22.754879178813916,20.689241689800156,25.85925633584683,24.24989403465559,27.47713841702665,26.765527184748,27.473570451813327,25.190238921025582,27.837775999344057,26.024445433664887,27.151519632037115,27.41745339354212,31.704318745567253,27.4317432043052,29.24639934770106,25.586847437376928,27.019691413733817,26.046489051699552,25.75376703368954,29.533065866279543,28.724505349183346,28.988691655990294,28.65243214985473,27.32423746307952,22.93400104095815,23.029877200090148,19.51340322811035,18.346307176449045,16.328302019300015,14.64661015587555,13.434493778641976,13.625772054722052,15.083813694846464,15.799456725486147,17.43808299850457,17.24608152830319,18.84796697908172,21.524868695707188,20.11195546295797,24.820611877271475,22.656873086229307,24.651337148283204,24.137842220432997,25.695545231632185,28.031039312209703,24.82025405158473,24.616019995256103,21.279061496016816,19.380101152427137,22.036623450022212,18.40795148625376,17.042254148510956,14.339717708734833,13.26808814855334,11.395760531904283,11.371886843539139,12.087310397733962,12.097461646863206,14.441023984226755,14.859413515890484,17.94516812179096,20.392889428436757,23.036000457963517,26.5568864539228,28.935318205022533,32.34529695177802,36.025269037502596,33.216425093843476,30.637137561811176,26.7762891313659,26.856148552944894,23.288467682973366,23.10266724717693,18.422305005358275,16.76598201278549,13.578086689491414,14.399414282013435,13.916874259411424,13.002396439924482,16.627343717013666,17.97005353748324,20.141865860999438,17.650356681290912,18.183807449128572,15.672451395615663,16.217540531887472,17.713695143459987,18.972778568320187,22.28550293937145,21.412795398138805,24.94655107358268,21.436725773630236,23.514689084910476,19.8967809693002,22.088572490289902,23.059184360593026,23.32377200253746,19.995539447503145,18.51189749275046,15.89781404655071,18.35614276245388,15.19140366383137,18.769726094545234,20.605933602746223,19.55322294949126,22.42758158656742,23.273243421811216,25.93769549022308,29.110403497989637,27.750735150567788,30.879455016142806,32.60092086739105,31.667314428685415,36.505531078489014,35.98094487548428,33.12491279430437,36.19207663554666,39.51723091563737,37.479187694591,36.494629087663455,40.592735133566954,42.5579473036989,39.69484845878863,41.696586865670014,44.92780377157395,43.31857167248442,42.35338900104368,46.138179606813154,44.44682325631427,48.95466823650524,46.692295392094344,45.42301540424281,48.768307534367,50.82521956229908,54.68711103528115,53.823712454596965,53.05825847133201,49.45334761431634,49.58467008719631,45.5376262919952,47.920418036928815,48.949734632077195,43.22885003055772,42.957983338395685,45.83526971508877,43.558724578997136,39.88391833479488,40.19669575246163,42.4629133954862,40.25883726833152,34.91411863534712,36.287530367999395,34.647086099199655,38.05688138572755,40.47173601318458,40.70603437568455,44.83009694194109,40.71260421848691,38.5969831258104,43.56917524761595,43.26667524683401,39.05192716669068,41.07071362621631,44.42947162945832,43.43261408987496,42.24323789055666,46.66561389781007,48.06713265295546,45.91134828083163,47.366153982887866,50.412978362922225,48.57038746207323,48.84978424756942,45.526849846713134,48.11397244747636,49.76129365915504,44.58135039148044,44.61237652179706,47.64181627939984,46.27932094673394,42.07826801819706,46.44293185358599,48.132461676728376,43.21194058965462,41.756085481514994,46.82973677156044,46.64193175971329,43.28211374660633,40.99598617086961,44.46898214835318,43.44190423496991,45.8377479070943,41.839814230696824,40.2508446637393,38.15925193987796,38.452674093718784,36.92661030242614,37.847173754622666,35.02183020763647,35.58995143138161,31.577984291110038,30.392580384023027,27.558972528904576,32.05064356630403,32.49950644863772,36.04133033824827,34.75076154671166,32.445964534785766,36.739443346477145,38.410053134074744,34.019849713593,35.836415433359456,40.21007216910219,40.97142418196819,39.54640429838751,40.058310549274914,39.33401163854412]],"stdvs":[[7.633796604466084,7.066755731752149,6.241939193149766,5.958115954804922,5.270197332837649,5.04696281332584,4.996760434823388,5.702515572500813,5.593765092506993,5.630418075931689,6.364589381568608,7.390345561754509,6.512800099881502,5.932324270933295,7.001019603466168,7.140182701587239,6.180540081051934,6.493901164398088,5.966800912081018,6.323580797270065,6.1152658049760396,6.2442797638469205,6.012042774863399,5.468261278552971,5.665558259032439,5.498486607827253,5.6659956558900895,5.7133724192037905,6.413494550716428,6.91063667774495,7.593293069858754,7.866494489546651,8.537585873548416,8.469960366969957,7.941521977789298,7.3095304489508806,7.2779767883483855,6.512942454072486,6.093100481391716,6.167533861413563,5.687043308690777,6.128257463141016,6.241428311122066,5.8065492318331415,5.53857467916067,5.597933937917545,5.612282572831452,5.648016699657387,5.893069032430742,6.130977002011466,5.874417846102371,6.431471569765033,5.930715988128371,6.078111549275647,6.860821613537011,6.6135930187444645,6.387370578619727,6.891912301127194,7.036910352017584,6.603997423276685,6.642744843074527,7.309372347102401,7.570117641448454,7.296779875239969,6.7654590186547,6.923293715087947,6.709621917037087,6.903107581057462,6.325672621098444,6.663778173632329,6.18215648044801,6.253978759410515,6.960225854730983,6.824309919792272,7.366183633834833,8.05161306880298,7.591974627272759,8.175674834383788,7.839569502884647,7.490140595860071,7.497155927964524,7.012555106170527,7.234107897814429,6.684590693455441,6.260712802945569,6.686991981983292,6.84025063433506,7.531254396328563,7.354407904470704,8.18840562949545,7.985483543374117,8.299107381362873,8.319192867209578,8.555835829776523,8.112191413938563,8.387163804258645,7.831474284965553,8.452413504766758,8.303354518117272,8.868389959753305,8.261717453628357,7.835333231268863,7.488130679548446,6.809503540395832,6.252655642555236,5.901747864963109,5.708012851407655,5.337609988565594,5.2174689479535,5.566472653908523,5.373693312663273,5.516210576439908,5.440556216630136,5.1860250716039955,5.366235114715938,4.926046311348812,5.23948266998813,4.8004074140645825,5.125907909149952,5.555521435754128,5.149484930935023,5.112570034788869,4.600151818802269,4.7123987524407935,4.813890616670593,4.889734172847768,5.073821947107722,5.124576193014759,5.148841785682539,5.300692054840362,5.139900247843397,5.107808091918176,5.114208839679843,5.390247437269021,5.1180145000795125,5.103022169324302,5.264355808566577,4.962835308064778,4.820771940133697,4.835621228745125,4.664809321273044,4.731194617109936,4.948703704482347,5.037161761066538,5.3886560885952095,5.813949723500184,5.487248795790968,5.930068667629724,5.958850879385443,6.062258046848402,6.33776609993909,6.94836345579214,7.764910826991754,8.436985687309233,8.643971569693083,8.19684876759738,7.514958006367341,7.080713032110116,7.010788400303393,6.343380368579964,5.685395993280377,6.047954346805902,5.300162213270021,5.654558090656728,5.246353970347512,4.855055284299321,4.98550392618951,4.952437993626187,5.1014238210480585,4.9888987759803305,5.007910209442055,4.973705855105335,5.26813654727078,5.6313618919518,6.103653689174165,6.52319467178966,6.885131162343912,7.048001535640355,6.614511665045387,6.446809076941725,5.841960344257904,5.784590478644949,5.535947594854683,5.3818641553139726,5.286947685077078,5.520065978411879,5.59621848679425,5.275258527910622,5.493729938231358,5.045218194881964,5.006475388266651,5.099238006092794,5.021119190302755,5.082960509878355,5.10760263714735,5.158101779428225,5.243333874142638,5.205446542709533,5.3509702675490365,5.1527564756885065,5.20986715206083,5.022906127493321,5.154225745220156,5.594892154302213,5.374854519652457,5.316184798932216,6.1964086579733815,6.254090410722132,5.481469549790758,6.213795307173893,7.104053894030768,6.940058628470035,6.503014990637894,7.865884928822779,8.532095596964641,8.376380043133759,8.021423892506327,8.387750321400835,7.395520099119199,7.206588466816643,6.830569835654857,6.512711141880859,6.733909276746703,6.391896347750067,5.385359561357011,5.048000933704634,4.967432885617166,5.082827400806737,5.358312725145684,5.343209756781661,5.225353254574933,5.36903058033815,5.666398033879125,5.411917145456732,5.373594046342575,5.8458133317519305,6.003260592568038,5.555703022919793,5.521327959338926,5.139285153677237,5.021941728375217,4.9496302049453895,4.835307078735893,4.883726175659987,5.08056770630768,4.865356733299576,4.678980903827127,4.823167903603626,4.921650148948263,4.799757217077842,4.519784252496418,4.505165635602557,4.834367322370035,4.769527762961982,4.391125995547955,4.738300675386922,5.570729033181287,5.3586557792571865,5.700557626465396,5.148689385708823,4.94514857971025,5.087906140024535,5.7179340547764825,5.814587549239813,5.430640801448732,6.013371355857137,6.414503765647871,6.073035198584456,6.1293341895661015,6.989511629217272,7.028910626442732,6.46121464575335,6.888024260754523,7.694622100584648,7.392310383843705,7.597612189895824,8.331508600372421,8.977421554503273,9.154158028012507,8.745432984557416,7.727640766615198,7.5375828286271345,8.284475713689146,7.666584976180502,7.7546631173814005,6.889475517063316,6.406470797216664,5.7115993710024515,5.345449538152391,5.205094111400699,5.234018694908294,5.14223476264977,5.057822648353936,5.953225769078616,5.154605306370324,5.1691834345054675,4.812067423911397,5.416356476930611,5.377076605351941,5.281937990222629,4.820535501282159,4.5978415852335885,5.100048003090764,5.129031593424245,4.884808557885094,4.941837460129026,4.939642141487915,5.082234686898009,5.271750590400812,4.692116471816307,4.611870637609018,4.424749710490797,4.7157421882707595,4.909954540913757,5.501116591451399,5.041690800373605,4.630556376077179,5.770268899523017,6.118972210914286,5.184604315419806,4.848618767111164,5.501488825896728,5.807321537284908,4.049050057749129,4.47907115678959,3.8967192083245936,4.241549654155487,3.4628498291310215,3.320373544728,3.323053790379841,3.387776283803999,3.612497261211421,3.9472333099975248,3.969636754994406,5.77550806053415,4.3585217356858035,4.954688486988417,5.210626280528343,4.331496118152864,4.216771813160936,3.6655746549920423,3.656884366306026,4.508685906001823,5.782992869589768,6.165510266112533,3.7974624541269595,4.394070409383078,5.243140557595992,5.1826898913951025,6.5577261528926805,6.507565968523224,6.423779779434637,7.586038376532331,8.134899462678469,6.963649205240472,7.832685550357728,6.369064282372489,5.749319367461068,5.146152026414334,5.212775153327419,4.901140118784736,4.354073518300168,4.551501470353605,4.653774093638401,4.308323829531103,4.896885299738685,5.225789131578685,5.949498076036162,4.961226446401455,4.5482395026300715,6.087357759800914,6.119031608394679,7.731569671988877,8.022149215438802,8.79586647373951,9.24710180488935,8.67344347940617,8.20396869686897,7.2007664684502,7.187876473599783,5.754004716014038,5.758941023905919,4.702465095148785,4.140843782372908,3.897067124516013,4.569059562548085,4.578628270135556,5.8476488753397575,6.155295414594304,4.6201780492732265,3.807118264041188,3.714397910201249,4.128650338003573,4.850499297194143,5.832420410662027,6.85958200169122,6.8751229140219445,6.3981218991982205,6.18597026625018,6.934873662482003,6.7075970809163055,5.341663297730421,4.808051873031773,4.412197070841339,3.94262980144671,3.8545368580185198,3.831339726207606,4.6282168644773,6.129249060554116,6.199363537480649,6.658765288457416,7.306161568362382,6.803205138835262,6.033119665007623,5.580109782137318,5.495805097902123,4.653590740794363,4.874681629481864,4.341071111703594,4.424102748553535,4.259422416712754,4.142453527645616,4.875686449510087,5.6934825490636145,6.1608958172960655,5.6649971776804335,5.112073861483873,4.792522781657159,4.700744587595423,5.255265666204372,5.462181816346361,6.098594560291903,6.690545059469521,7.236392384493001,8.026622632264308,8.405647755949193,9.123292331586649,8.283901972577668,8.728873768741506,7.5679482851175255,7.67808503849208,6.969505537772865,6.1056402943134,6.342677411540258,5.693867848088431,6.345294485739392,4.72895240885336,5.3618782928176545,5.627208221123516,4.129539494541549,4.40443716964668,4.146024483574329,4.536321428197209,4.247716067889963,4.386896569721231,4.229990339782571,4.058014504261892,4.446517759115122,4.494028626755503,4.0605920986522746,4.036466824072001,4.041353255132102,3.8864886214781236,4.926400250299225,5.7970811638694135,4.9530452352316905,6.704212474715912,7.058264230727636,9.644182682240634,9.695874293502492,10.334779094237032,10.410619857379775,9.839852727346777,9.196992045587487,9.205212998203285,8.407239455681868,8.6098777022188,7.647228070001849,6.3401200730639165,5.589316985686029,4.26684967064882,4.695473517792157,5.685186438645801,6.3198716048522945,7.8521643052129,7.272203542266938,8.805381055856156,9.510828581470932,9.644343333915957,9.268955785970704,8.36295499615822,9.084239555723213,9.885741475875522,10.413060108775783,10.52899156616125,11.114916659397048,10.886561357003643,10.531274004437027,10.14777961489121,9.865613254498907,9.141876280985779,8.9426694332088,8.222086093103393,7.614556718692481,7.592576277660264,6.860198024995324,6.537400106291787,6.804997332552158,6.623458395834018,5.908791343501786,5.900186016728774,6.145458545382101,5.743551784929162,5.317398785511942,5.4803731035683745,5.4375433798978285,5.061481284515387,5.01915481383184,5.2131984261001785,5.501769125019788,5.609414456047246,6.2485136963878105,6.325617447281241,6.254163952456459,6.794981295561094,5.90851406473604,6.979804345096229,7.552040199375659,7.537521232568481,7.814687688648797,7.854893683036397,8.609689422239116,8.346535463150662,7.996701692262469,8.884205227178938,9.217520903734666,8.678267467937177,8.81543646913442,9.589688816391057,9.299681405880369,8.75241386185651,9.288552574555332,8.313771709832114,8.57446395867345,8.641886933233353,7.871403597613343,7.660355357599604,7.196376848558313,6.892199798859786,7.095823246507991,6.6428348837171205,6.129377535011248,5.934257926472609,6.040129320298145,5.560302897839782,5.171749063126984,5.329897647406259,5.54118905485113,5.170868201127628,4.972569329462116,5.338500842311241,5.503686169945068,5.853480498230244,6.2252907571762846,6.4942404478481945,7.066528656147451,6.657095780477528,6.455452137971619,7.245514097182546,7.254821437800048,6.943674594763683,7.364096678099807,7.8749419484004335,7.599388252421394,7.341601855424817,7.964919781112924,8.300491095579016,7.35651027810238,7.184082322199556,7.053372810958013,7.706454137137402,7.568576137759589,6.702786800699062,5.9534499117148725,6.02842536398322,5.506708857538598,5.5478923177462285,5.908939894627908,6.429315479218905,6.93566204904827,7.30458403168113,6.482625550753603,7.076331519412693,6.188992879485276,5.382614477121642,5.585967559013733,5.5630975559908675,5.231972121608737,4.868773944554141,4.894805253333268,4.675091029842038,4.543051928614195,4.755691754406535,4.706888059997973,4.7925625096215105,5.219087779564953,5.588384813404678,6.701654640459988]]}]}